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{"subject": "math:Alain_Connes", "predicate": "proves", "object": "alain connes (; born 1 april 1947 in draguignan) is a french mathematician, known for his contributi"}
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{"subject": "math:Axiom", "predicate": "proves", "object": "an axiom, postulate, or assumption is a statement that is taken to be true, to serve as a premise or"}
{"subject": "math:Algebraically_closed_field", "predicate": "proves", "object": "in mathematics, a field  is algebraically closed if every non-constant polynomial in  (the univariat"}
{"subject": "math:Algorithms_for_calculating_variance", "predicate": "proves", "object": "algorithms for calculating variance play a major role in computational statistics. a key difficulty "}
{"subject": "math:Algebraic_number", "predicate": "proves", "object": "an algebraic number is a number that is a root of a non-zero polynomial in one variable with integer"}
{"subject": "math:Angle", "predicate": "proves", "object": "in euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sha"}
{"subject": "math:Alternate_history", "predicate": "proves", "object": "alternate history is a subgenre of speculative fiction in which one or more historical events have o"}
{"subject": "math:Associative_property", "predicate": "proves", "object": "in mathematics, the associative property is a property of some binary operations, which means that r"}
{"subject": "math:Ammonia", "predicate": "proves", "object": "ammonia is an inorganic chemical compound of nitrogen and hydrogen with the formula . a stable binar"}
{"subject": "math:Amide", "predicate": "proves", "object": "in organic chemistry, an amide, also known as an organic amide or a carboxamide, is a compound with "}
{"subject": "math:Ambrosiaster", "predicate": "proves", "object": "ambrosiaster or pseudo-ambrose is the name given to the unknown author of a commentary on the epistl"}
{"subject": "math:Acetylene", "predicate": "proves", "object": "acetylene (systematic name: ethyne) is the chemical compound with the formula  and structure . it is"}
{"subject": "math:Archimedean_solid", "predicate": "proves", "object": "in geometry, an archimedean solid is one of 13 convex polyhedra whose faces are regular polygons and"}
{"subject": "math:Antiprism", "predicate": "proves", "object": "in geometry, an  antiprism or  is a polyhedron composed of two parallel direct copies (not mirror im"}
{"subject": "math:Algebraic_geometry", "predicate": "proves", "object": "algebraic geometry is a branch of mathematics which classically studies zeros of multivariate polyno"}
{"subject": "math:Andr\u00e9_Weil", "predicate": "proves", "object": "andr\u00e9 weil (; ; 6 may 1906 \u2013 6 august 1998) was a french mathematician, known for his foundational w"}
{"subject": "math:Andrew_Wiles", "predicate": "proves", "object": "sir andrew john wiles  (born 11 april 1953) is an english mathematician and a royal society research"}
{"subject": "math:Alexander_Grothendieck", "predicate": "proves", "object": "alexander grothendieck (; ; ; 28 march 1928\u00a0\u2013 13 november 2014) was a french mathematician who becam"}
{"subject": "math:Aphasia", "predicate": "proves", "object": "in aphasia (sometimes called dysphasia), a person may be unable to comprehend or unable to formulate"}
{"subject": "math:Associative_algebra", "predicate": "proves", "object": "in mathematics, an associative algebra a over a commutative ring (often a field) k is a ring a toget"}
{"subject": "math:Axiom_of_regularity", "predicate": "proves", "object": "in mathematics, the axiom of regularity (also known as the axiom of foundation) is an axiom of zerme"}
{"subject": "math:Algebraic_extension", "predicate": "proves", "object": "in mathematics, an algebraic extension is a field extension  such that every element of the larger f"}
{"subject": "math:Analytic_geometry", "predicate": "proves", "object": "in mathematics, analytic geometry, also known as coordinate geometry or cartesian geometry, is the s"}
{"subject": "math:Chemistry_of_ascorbic_acid", "predicate": "proves", "object": "ascorbic acid is an organic compound with formula , originally called hexuronic acid. it is a white "}
{"subject": "math:Amdahl's_law", "predicate": "proves", "object": "in computer architecture, amdahl's law (or amdahl's argument) is a formula which gives the theoretic"}
{"subject": "math:Amazonite", "predicate": "proves", "object": "amazonite, also known as amazonstone, is a green tectosilicate mineral, a variety of the potassium f"}
{"subject": "math:Automated_theorem_proving", "predicate": "proves", "object": "automated theorem proving (also known as atp or automated deduction) is a subfield of automated reas"}
{"subject": "math:Alkyne", "predicate": "proves", "object": "acetylene\n\npropyne\n\n1-butyne\n\nin organic chemistry, an alkyne is an unsaturated hydrocarbon containi"}
{"subject": "math:Antiderivative", "predicate": "proves", "object": "in calculus, an antiderivative, inverse derivative, primitive function, primitive integral or indefi"}
{"subject": "math:Anabaptism", "predicate": "proves", "object": "anabaptism (from neo-latin , from the greek :  're-' and  'baptism', , earlier also ) is a christian"}
{"subject": "math:Convex_uniform_honeycomb", "predicate": "proves", "object": "in geometry, a convex uniform honeycomb is a uniform tessellation which fills three-dimensional eucl"}
{"subject": "math:Analcime", "predicate": "proves", "object": "analcime (; ) or analcite is a white, gray, or colorless tectosilicate mineral. analcime consists of"}
{"subject": "math:Amyl_alcohol", "predicate": "proves", "object": "amyl alcohols are alcohols with the formula c5h11oh. eight are known.  a mixture of amyl alcohols (a"}
{"subject": "math:Amyl_nitrite", "predicate": "proves", "object": "amyl nitrite is a chemical compound with the formula c5h11ono. a variety of isomers are known, but t"}
{"subject": "math:Asymptote", "predicate": "proves", "object": "in analytic geometry, an asymptote () of a curve is a line such that the distance between the curve "}
{"subject": "math:Algebraic_closure", "predicate": "proves", "object": "in mathematics, particularly abstract algebra, an algebraic closure of a field k is an algebraic ext"}
{"subject": "math:Alternative_algebra", "predicate": "proves", "object": "in abstract algebra, an alternative algebra is an algebra in which multiplication need not be associ"}
{"subject": "math:Ascending_chain_condition", "predicate": "proves", "object": "in mathematics, the ascending chain condition (acc) and descending chain condition (dcc) are finiten"}
{"subject": "math:Boron_nitride", "predicate": "proves", "object": "boron nitride is a thermally and chemically resistant refractory compound of boron and nitrogen with"}
{"subject": "math:Boolean_algebra_(structure)", "predicate": "proves", "object": "in abstract algebra, a boolean algebra or boolean lattice is a complemented distributive lattice. th"}
{"subject": "math:Bicarbonate", "predicate": "proves", "object": "in inorganic chemistry, bicarbonate (iupac-recommended nomenclature: hydrogencarbonate) is an interm"}
{"subject": "math:Borsuk\u2013Ulam_theorem", "predicate": "proves", "object": "in mathematics, the borsuk\u2013ulam theorem states that every continuous function from an n-sphere into "}
{"subject": "math:Brouwer_fixed-point_theorem", "predicate": "proves", "object": "brouwer's fixed-point theorem is a fixed-point theorem in topology, named after l. e. j. (bertus) br"}
{"subject": "math:Benzoic_acid", "predicate": "proves", "object": "benzoic acid  is a white (or colorless) solid organic compound with the formula , whose structure co"}
{"subject": "math:Biconditional_introduction", "predicate": "proves", "object": "in propositional logic, biconditional introduction is a valid rule of inference. it allows for one t"}
{"subject": "math:Bra\u2013ket_notation", "predicate": "proves", "object": "bra\u2013ket notation, also called dirac notation, is a notation for linear algebra and linear operators "}
{"subject": "math:B\u00e9zier_curve", "predicate": "proves", "object": "a b\u00e9zier curve ( ) is a parametric curve used in computer graphics and related fields. a set of disc"}
{"subject": "math:Banach_algebra", "predicate": "proves", "object": "in mathematics, especially functional analysis, a banach algebra, named after stefan banach, is an a"}
{"subject": "math:Binomial_coefficient", "predicate": "proves", "object": "in mathematics, the binomial coefficients are the positive integers that occur as coefficients in th"}
{"subject": "math:Binomial_theorem", "predicate": "proves", "object": "in elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansio"}
{"subject": "math:Bessel_function", "predicate": "proves", "object": "bessel functions, first defined by the mathematician daniel bernoulli and then generalized by friedr"}
{"subject": "math:Boolean_satisfiability_problem", "predicate": "proves", "object": "in logic and computer science, the boolean satisfiability problem (sometimes called propositional sa"}
{"subject": "math:Beryl", "predicate": "proves", "object": "beryl ( ) is a mineral composed of beryllium aluminium silicate with the chemical formula be3al2si6o"}
{"subject": "math:Naive_set_theory", "predicate": "proves", "object": "naive set theory is any of several theories of sets used in the discussion of the foundations of mat"}
{"subject": "math:B\u00e9zout's_identity", "predicate": "proves", "object": "in mathematics, b\u00e9zout's identity (also called b\u00e9zout's lemma), named after \u00e9tienne b\u00e9zout who prove"}
{"subject": "math:Bernoulli_number", "predicate": "proves", "object": "in mathematics, the bernoulli numbers  are a sequence of rational numbers which occur frequently in "}
{"subject": "math:Brabham", "predicate": "proves", "object": "motor racing developments ltd., commonly known as brabham (), was a british racing car manufacturer "}
{"subject": "math:Biotite", "predicate": "proves", "object": "biotite is a common group of phyllosilicate minerals within the mica group, with the approximate che"}
{"subject": "math:Calculus", "predicate": "proves", "object": "calculus is the mathematical study of continuous change, in the same way that geometry is the study "}
{"subject": "math:Car_(disambiguation)", "predicate": "proves", "object": "a car is a wheeled motor vehicle used for transporting passengers.\n\ncar(s), car(s), or the car(s) ma"}
{"subject": "math:Conditional", "predicate": "proves", "object": "conditional (if then) may refer to:\n\ncausal conditional, if x then y, where x is a cause of y\ncondit"}
{"subject": "math:Cone_(disambiguation)", "predicate": "proves", "object": "a cone is a basic geometrical shape.\n\ncone may also refer to:\n\nmathematics\ncone (category theory)\nco"}
{"subject": "math:Chilean_Armed_Forces", "predicate": "proves", "object": "the chilean armed forces () is the unified military organization comprising the chilean army, air fo"}
{"subject": "math:Clarke's_three_laws", "predicate": "proves", "object": "british science fiction writer arthur c. clarke formulated three adages that are known as clarke's t"}
{"subject": "math:Continuum_hypothesis", "predicate": "proves", "object": "in mathematics, specifically set theory, the continuum hypothesis (abbreviated ch) is a hypothesis a"}
{"subject": "math:Complex_analysis", "predicate": "proves", "object": "complex analysis, traditionally known as the theory of functions of a complex variable, is the branc"}
{"subject": "math:Complex_number", "predicate": "proves", "object": "in mathematics, a complex number is an element of a number system that extends the real numbers with"}
{"subject": "math:Category_theory", "predicate": "proves", "object": "category theory is a general theory of mathematical structures and their relations that was introduc"}
{"subject": "math:Carbon_dioxide", "predicate": "proves", "object": "carbon dioxide is a chemical compound with the chemical formula . it is made up of molecules that ea"}
{"subject": "math:Carbonate", "predicate": "proves", "object": "a carbonate is a salt of carbonic acid (h2co3), characterized by the presence of the carbonate ion, "}
{"subject": "math:Circumference", "predicate": "proves", "object": "in geometry, the circumference (from latin circumferens, meaning \"carrying around\") is the perimeter"}
{"subject": "math:Continuum_mechanics", "predicate": "proves", "object": "continuum mechanics is a branch of mechanics that deals with the deformation of and transmission of "}
{"subject": "math:Computation", "predicate": "proves", "object": "a computation is any type of arithmetic or non-arithmetic calculation that is well-defined. common e"}
{"subject": "math:Gauss\u2013Seidel_method", "predicate": "proves", "object": "in numerical linear algebra, the gauss\u2013seidel method, also known as the liebmann method or the metho"}
{"subject": "math:Truncated_5-cell", "predicate": "proves", "object": "in geometry, a truncated 5-cell is a uniform 4-polytope (4-dimensional uniform polytope) formed as t"}
{"subject": "math:Jacobi_method", "predicate": "proves", "object": "in numerical linear algebra, the jacobi method (a.k.a. the jacobi iteration method) is an iterative "}
{"subject": "math:Akbar_Allahabadi", "predicate": "proves", "object": "syed akbar hussain, popularly known as akbar allahabadi (16 november 1846 \u2013 9 september 1921) was an"}
{"subject": "math:Hexachlorobenzene", "predicate": "proves", "object": "hexachlorobenzene, or perchlorobenzene, is an organochloride with the molecular formula c6cl6. it is"}
{"subject": "math:Cartan\u2013Dieudonn\u00e9_theorem", "predicate": "proves", "object": "in mathematics, the cartan\u2013dieudonn\u00e9 theorem, named after \u00e9lie cartan and jean dieudonn\u00e9, establishe"}
{"subject": "math:Mechanically_interlocked_molecular_architectures", "predicate": "proves", "object": "in chemistry, mechanically interlocked molecular architectures (mimas) are molecules that are connec"}
{"subject": "math:Chakravala_method", "predicate": "proves", "object": "the chakravala method () is a cyclic algorithm to solve indeterminate quadratic equations, including"}
{"subject": "math:Structure_(mathematical_logic)", "predicate": "proves", "object": "in universal algebra and in model theory, a structure consists of a set along with a collection of f"}
{"subject": "math:Maximum_term_method", "predicate": "proves", "object": "the maximum-term method is a consequence of the large numbers encountered in statistical mechanics. "}
{"subject": "math:Grand_antiprism", "predicate": "proves", "object": "in geometry, the grand antiprism or pentagonal double antiprismoid is a uniform 4-polytope (4-dimens"}
{"subject": "math:Fermat_cubic", "predicate": "proves", "object": "in geometry, the fermat cubic, named after pierre de fermat, is a surface defined by\n\nmethods of alg"}
{"subject": "math:Juvenile_Justice_and_Delinquency_Prevention_Act", "predicate": "proves", "object": "the juvenile justice and delinquency prevention act of 1974 (jjdpa) is a united states federal law p"}
{"subject": "math:Tensor_bundle", "predicate": "proves", "object": "in mathematics, the tensor bundle of a manifold is the direct sum of all tensor products of the tang"}
{"subject": "math:Higman's_embedding_theorem", "predicate": "proves", "object": "in group theory, higman's embedding theorem states that every finitely generated recursively present"}
{"subject": "math:Heaviside\u2013Lorentz_units", "predicate": "proves", "object": "heaviside\u2013lorentz units (or lorentz\u2013heaviside units) constitute a system of units and quantities tha"}
{"subject": "math:Zero-product_property", "predicate": "proves", "object": "in algebra, the zero-product property states that the product of two nonzero elements is nonzero. in"}
{"subject": "math:Carlson's_theorem", "predicate": "proves", "object": "in mathematics, in the area of complex analysis, carlson's theorem is a uniqueness theorem which was"}
{"subject": "math:Fish_curve", "predicate": "proves", "object": "a fish curve is an ellipse negative pedal curve that is shaped like a fish. in a fish curve, the ped"}
{"subject": "math:Tridiagonal_matrix_algorithm", "predicate": "proves", "object": "in numerical linear algebra, the tridiagonal matrix algorithm, also known as the thomas algorithm (n"}
{"subject": "math:Successive_over-relaxation", "predicate": "proves", "object": "in numerical linear algebra, the method of successive over-relaxation (sor) is a variant of the gaus"}
{"subject": "math:Projective_cone", "predicate": "proves", "object": "a projective cone (or just cone) in projective geometry is the union of all lines that intersect a p"}
{"subject": "math:Russell's_teapot", "predicate": "proves", "object": "russell's teapot is an analogy, formulated by the philosopher bertrand russell (1872\u20131970), to illus"}
{"subject": "math:Thioacetamide", "predicate": "proves", "object": "thioacetamide is an organosulfur compound with the formula c2h5ns.  this white crystalline solid is "}
{"subject": "math:Chloroplatinic_acid", "predicate": "proves", "object": "chloroplatinic acid (also known as hexachloroplatinic acid) is an inorganic compound with the formul"}
{"subject": "math:Collineation", "predicate": "proves", "object": "in projective geometry, a collineation is a one-to-one and onto map (a bijection) from one projectiv"}
{"subject": "math:Hypobromous_acid", "predicate": "proves", "object": "hypobromous acid is a weak, unstable acid with chemical formula of hobr.  it is mainly produced and "}
{"subject": "math:Model_elimination", "predicate": "proves", "object": "model elimination is the name attached to a pair of proof procedures invented by donald w. loveland,"}
{"subject": "math:NACA_airfoil", "predicate": "proves", "object": "the naca airfoils are airfoil shapes for aircraft wings developed by the national advisory committee"}
{"subject": "math:Actor_model_middle_history", "predicate": "proves", "object": "in computer science, the actor model, first published in 1973 , is a mathematical model of concurren"}
{"subject": "math:Indiscernibles", "predicate": "proves", "object": "in mathematical logic, indiscernibles are objects that cannot be distinguished by any property or re"}
{"subject": "math:Phil_Giebler", "predicate": "proves", "object": "philip giebler (born march 5, 1979 in oxnard, california) is an american race car driver.\n\ngiebler w"}
{"subject": "math:Gentzen's_consistency_proof", "predicate": "proves", "object": "gentzen's consistency proof is a result of proof theory in mathematical logic, published by gerhard "}
{"subject": "math:List_of_people_from_Heilbronn", "predicate": "proves", "object": "this is a list of people who have lived in heilbronn, germany.\n\n gustav sch\u00fcbler (1787\u20131834), scient"}
{"subject": "math:Beeman's_algorithm", "predicate": "proves", "object": "beeman's algorithm is a method for numerically integrating ordinary differential equations of order "}
{"subject": "math:Stone's_method", "predicate": "proves", "object": "in numerical analysis, stone's method, also known as the strongly implicit procedure or sip, is an a"}
{"subject": "math:Papagoite", "predicate": "proves", "object": "papagoite is a rare cyclosilicate mineral. chemically, it is a calcium copper aluminium silicate hyd"}
{"subject": "math:C3H6", "predicate": "proves", "object": "{{displaytitle:c3h6}}\nthe molecular formula c3h6 (molar mass: 42.08 g/mol, exact mass: 42.0470 u) ma"}
{"subject": "math:Nachbin's_theorem", "predicate": "proves", "object": "in mathematics, in the area of complex analysis, nachbin's theorem (named after leopoldo nachbin) is"}
{"subject": "math:Fitting's_theorem", "predicate": "proves", "object": "fitting's theorem is a mathematical theorem proved by hans fitting. it can be stated as follows:\n\nif"}
{"subject": "math:Constraint_satisfaction_dual_problem", "predicate": "proves", "object": "the dual problem is a reformulation of a constraint satisfaction problem expressing each constraint "}
{"subject": "math:Graffiti_(program)", "predicate": "proves", "object": "graffiti is a computer program which makes conjectures in various subfields of mathematics (particul"}
{"subject": "math:White_Mountain_Cooler", "predicate": "proves", "object": "white mountain cooler was an alcoholic beverage that debuted in the us market in 1985. it was produc"}
{"subject": "math:Aleksandr_Korkin", "predicate": "proves", "object": "aleksandr nikolayevich korkin (;  \u2013 ) was a russian mathematician. he made contribution to the devel"}
{"subject": "math:Octyl_acetate", "predicate": "proves", "object": "octyl acetate, or octyl ethanoate, is an organic compound with the formula ch3(ch2)7o2cch3.  it is c"}
{"subject": "math:Coade_stone", "predicate": "proves", "object": "coade stone or lithodipyra or lithodipra () is stoneware that was often described as an artificial s"}
{"subject": "math:Cesbronite", "predicate": "proves", "object": "cesbronite is a copper-tellurium oxysalt mineral with the chemical formula cu3te6+o4(oh)4 (ima 17-c)"}
{"subject": "math:Doris_Pilkington_Garimara", "predicate": "proves", "object": "doris pilkington garimara  (born nugi garimara; c. 1 july 1937 \u2013 10 april 2014), also known as doris"}
{"subject": "math:Borel_transform", "predicate": "proves", "object": "in mathematics, borel transform may refer to \na transform used in borel summation\na generalization o"}
{"subject": "math:Lucas_di_Grassi", "predicate": "proves", "object": "lucas tucci di grassi (born 11 august 1984) is a brazilian professional racing driver who is set to "}
{"subject": "math:Brian_Conrad", "predicate": "proves", "object": "brian conrad (born november 20, 1970) is an american mathematician and number theorist, working at s"}
{"subject": "math:Natrophilite", "predicate": "proves", "object": "natrophilite is a mineral with the chemical formula namnpo4. in a pure form it has a yellow colorati"}
{"subject": "math:Rosenbergite", "predicate": "proves", "object": "rosenbergite is a mineral with the chemical formula alf3\u00b73h2o.  it is a trihydrate of aluminium fluo"}
{"subject": "math:Marc_Thomas_(computer_scientist)", "predicate": "proves", "object": "marc phillip thomas (1949\u20132017) was a professor of computer science and mathematics, retired chair a"}
{"subject": "math:Fr\u00e9chet_algebra", "predicate": "proves", "object": "in mathematics, especially functional analysis, a fr\u00e9chet algebra, named after maurice ren\u00e9 fr\u00e9chet,"}
{"subject": "math:SFJ", "predicate": "proves", "object": "sfj may refer to:\n\n saphenofemoral junction, an anatomical structure in the groin\n starflyer (icao a"}
{"subject": "math:Ariadne's_thread_(logic)", "predicate": "proves", "object": "ariadne's thread, named for the legend of ariadne, is solving a problem which has multiple apparent "}
{"subject": "math:Ogden's_lemma", "predicate": "proves", "object": "in the theory of formal languages, ogden's lemma (named after william f. ogden) is a generalization "}
{"subject": "math:1-Decanol", "predicate": "proves", "object": "1-decanol is a straight chain fatty alcohol with ten carbon atoms and the molecular formula c10h21oh"}
{"subject": "math:Pelargonic_acid", "predicate": "proves", "object": "pelargonic acid, also called nonanoic acid, is an organic compound with structural formula . it is a"}
{"subject": "math:Wiener's_Tauberian_theorem", "predicate": "proves", "object": "in mathematical analysis, wiener's tauberian theorem is any of several related results proved by nor"}
{"subject": "math:Bromobutane", "predicate": "proves", "object": "bromobutane (molecular formula: c4h9br, molar mass: 137.02 g/mol) may refer to either of two chemica"}
{"subject": "math:Hexanol", "predicate": "proves", "object": "hexanol may refer to any of the following isomeric organic compounds with the formula c6h13oh:\n\n{| c"}
{"subject": "math:Cartan_model", "predicate": "proves", "object": "in mathematics, the cartan model is a differential graded algebra that computes the equivariant coho"}
{"subject": "math:Heptanol", "predicate": "proves", "object": "heptanol may refer to any of four isomeric chemical compounds:\n 1-heptanol, an alcohol with a seven "}
{"subject": "math:Lippmann\u2013Schwinger_equation", "predicate": "proves", "object": "the lippmann\u2013schwinger equation (named after bernard lippmann and julian schwinger) is one of the mo"}
{"subject": "math:Richard_Philippe", "predicate": "proves", "object": "richard philippe (january 10, 1990 in valence, dr\u00f4me \u2013 22 november 2018) was a french racecar driver"}
{"subject": "math:Lotus_Mark_III", "predicate": "proves", "object": "lotus mark iii was a single-seater sports car built by colin chapman as a 750 racer. it was the firs"}
{"subject": "math:Silver_cyanide", "predicate": "proves", "object": "silver cyanide is the chemical compound with the formula agcn. it is a white salt that is precipitat"}
{"subject": "math:Night_Shade_Books", "predicate": "proves", "object": "night shade books is an american, san francisco\u2013based imprint, formerly an independent publishing co"}
{"subject": "math:Initial_algebra", "predicate": "proves", "object": "in mathematics, an initial algebra is an initial object in the category of -algebras for a given end"}
{"subject": "math:Prym_variety", "predicate": "proves", "object": "in mathematics, the prym variety construction (named for friedrich prym) is a method in algebraic ge"}
{"subject": "math:Nickel(III)_oxide", "predicate": "proves", "object": "nickel (iii) oxide is the inorganic compound with the formula ni2o3. it is not well characterized, a"}
{"subject": "math:Weinstein_conjecture", "predicate": "proves", "object": "in mathematics, the weinstein conjecture refers to a general existence problem for periodic orbits o"}
{"subject": "math:Buckmore_Park_Kart_Circuit", "predicate": "proves", "object": "buckmore park kart circuit is an msa approved outdoor kart racing circuit located just off junction "}
{"subject": "math:2-Undecanone", "predicate": "proves", "object": "2-undecanone, also known as methyl nonyl ketone and ibi-246, is the organic compound with the formul"}
{"subject": "math:Schottky_problem", "predicate": "proves", "object": "in mathematics, the schottky problem, named after friedrich schottky, is a classical question of alg"}
{"subject": "math:Hermitian_symmetric_space", "predicate": "proves", "object": "in mathematics, a hermitian symmetric space is a hermitian manifold which at every point has an inve"}
{"subject": "math:Thiotepa", "predicate": "proves", "object": "thiotepa (inn), sold under the brand name tepadina, is a medication used to treat cancer.\n\nthiotepa "}
{"subject": "math:Krull's_theorem", "predicate": "proves", "object": "in mathematics, and more specifically in ring theory, krull's theorem, named after wolfgang krull, a"}
{"subject": "math:Homeotopy", "predicate": "proves", "object": "in algebraic topology, an area of mathematics, a homeotopy group of a topological space is a homotop"}
{"subject": "math:Dasymeter", "predicate": "proves", "object": "a dasymeter was meant initially as a device to demonstrate the buoyant effect of gases like air (as "}
{"subject": "math:Darboux's_theorem_(analysis)", "predicate": "proves", "object": "in mathematics, darboux's theorem is a theorem in real analysis, named after jean gaston darboux. it"}
{"subject": "math:Bismuthine", "predicate": "proves", "object": "bismuthine (iupac name: bismuthane) is the chemical compound with the formula bih3. as the heaviest "}
{"subject": "math:Li\u00e9nard_equation", "predicate": "proves", "object": "in mathematics, more specifically in the study of dynamical systems and differential equations, a li"}
{"subject": "math:Deviant_logic", "predicate": "proves", "object": "deviant logic is a type of logic incompatible with classical logic. philosopher susan haack uses the"}
{"subject": "math:Retraction", "predicate": "proves", "object": "retraction or retract(ed) may refer to:\n\nacademia\n retraction in academic publishing, withdrawals of"}
{"subject": "math:The_Farewell_Tour_(video)", "predicate": "proves", "object": "the farewell tour is the third live music video title by singer-actress cher. released by warner mus"}
{"subject": "math:Triflic_acid", "predicate": "proves", "object": "triflic acid, the short name for trifluoromethanesulfonic acid, tfms, tfsa, hotf or tfoh, is a sulfo"}
{"subject": "math:Brownmillerite", "predicate": "proves", "object": "brownmillerite is a rare oxide mineral with chemical formula . it is named for lorrin thomas brownmi"}
{"subject": "math:Fermat's_theorem_(stationary_points)", "predicate": "proves", "object": "in mathematics, fermat's theorem (also known as interior extremum theorem) is a method to find local"}
{"subject": "math:Great_disnub_dirhombidodecahedron", "predicate": "proves", "object": "in geometry, the great disnub dirhombidodecahedron, also called skilling's figure, is a degenerate u"}
{"subject": "math:\u00c9curie_Francorchamps", "predicate": "proves", "object": "\u00e9curie francorchamps was a belgian motor racing team. they are principally known for running private"}
{"subject": "math:Zeiss_formula", "predicate": "proves", "object": "in photographic optics, the zeiss formula is a supposed formula for computing a circle of confusion "}
{"subject": "math:Petrick's_method", "predicate": "proves", "object": "in boolean algebra, petrick's method (also known as petrick function or branch-and-bound method) is "}
{"subject": "math:Schofield_equation", "predicate": "proves", "object": "the schofield equation is a method of estimating the basal metabolic rate (bmr) of adult men and wom"}
{"subject": "math:VDW", "predicate": "proves", "object": "vdw can refer to one of the following:\n\n van der waals:\n johannes diderik van der waals, a dutch phy"}
{"subject": "math:Polytropic_process", "predicate": "proves", "object": "a polytropic process is a thermodynamic process that obeys the relation:\n\nwhere p is the pressure, v"}
{"subject": "math:John's_equation", "predicate": "proves", "object": "john's equation is an ultrahyperbolic partial differential equation satisfied by the x-ray transform"}
{"subject": "math:Reese's_Puffs", "predicate": "proves", "object": "reese's puffs (formerly reese's peanut butter puffs) is a corn-based breakfast cereal manufactured b"}
{"subject": "math:Cubohemioctahedron", "predicate": "proves", "object": "in geometry, the cubohemioctahedron is a nonconvex uniform polyhedron, indexed as u15. it has 10 fac"}
{"subject": "math:Great_ditrigonal_icosidodecahedron", "predicate": "proves", "object": "in geometry, the great ditrigonal icosidodecahedron (or great ditrigonary icosidodecahedron) is a no"}
{"subject": "math:Small_rhombihexahedron", "predicate": "proves", "object": "in geometry, the small rhombihexahedron (or small rhombicube) is a nonconvex uniform polyhedron, ind"}
{"subject": "math:Small_cubicuboctahedron", "predicate": "proves", "object": "in geometry, the small cubicuboctahedron is a uniform star polyhedron, indexed as u13. it has 20 fac"}
{"subject": "math:Nonconvex_great_rhombicuboctahedron", "predicate": "proves", "object": "in geometry, the nonconvex great rhombicuboctahedron is a nonconvex uniform polyhedron, indexed as u"}
{"subject": "math:Small_dodecahemidodecahedron", "predicate": "proves", "object": "in geometry, the small dodecahemidodecahedron is a nonconvex uniform polyhedron, indexed as . it has"}
{"subject": "math:Small_icosihemidodecahedron", "predicate": "proves", "object": "in geometry, the small icosihemidodecahedron (or small icosahemidodecahedron) is a uniform star poly"}
{"subject": "math:Small_dodecicosahedron", "predicate": "proves", "object": "in geometry, the small dodecicosahedron (or small dodekicosahedron) is a nonconvex uniform polyhedro"}
{"subject": "math:Octahemioctahedron", "predicate": "proves", "object": "in geometry, the octahemioctahedron or allelotetratetrahedron is a nonconvex uniform polyhedron, ind"}
{"subject": "math:Small_dodecicosidodecahedron", "predicate": "proves", "object": "in geometry, the small dodecicosidodecahedron (or small dodekicosidodecahedron) is a nonconvex unifo"}
{"subject": "math:Rhombicosahedron", "predicate": "proves", "object": "in geometry, the rhombicosahedron is a nonconvex uniform polyhedron, indexed as u56. it has 50 faces"}
{"subject": "math:Great_icosicosidodecahedron", "predicate": "proves", "object": "in geometry, the great icosicosidodecahedron (or great icosified icosidodecahedron)  is a nonconvex "}
{"subject": "math:Small_rhombidodecahedron", "predicate": "proves", "object": "in geometry, the small rhombidodecahedron is a nonconvex uniform polyhedron, indexed as u39. it has "}
{"subject": "math:Pentagrammic_antiprism", "predicate": "proves", "object": "in geometry, the pentagrammic antiprism is one in an infinite set of nonconvex antiprisms formed by "}
{"subject": "math:Pentagrammic_crossed-antiprism", "predicate": "proves", "object": "in geometry, the pentagrammic crossed-antiprism is one in an infinite set of nonconvex antiprisms fo"}
{"subject": "math:Small_ditrigonal_icosidodecahedron", "predicate": "proves", "object": "in geometry, the small ditrigonal icosidodecahedron (or small ditrigonary icosidodecahedron) is a no"}
{"subject": "math:Stellated_truncated_hexahedron", "predicate": "proves", "object": "in geometry, the stellated truncated hexahedron (or quasitruncated hexahedron, and stellatruncated c"}
{"subject": "math:Great_cubicuboctahedron", "predicate": "proves", "object": "in geometry, the great cubicuboctahedron is a nonconvex uniform polyhedron, indexed as u14. it has 2"}
{"subject": "math:Dodecadodecahedron", "predicate": "proves", "object": "in geometry, the dodecadodecahedron is a nonconvex uniform polyhedron, indexed as u36. it is the rec"}
{"subject": "math:Great_icosidodecahedron", "predicate": "proves", "object": "in geometry, the great icosidodecahedron is a nonconvex uniform polyhedron, indexed as u54. it has 3"}
{"subject": "math:Cubitruncated_cuboctahedron", "predicate": "proves", "object": "in geometry, the cubitruncated cuboctahedron or cuboctatruncated cuboctahedron is a nonconvex unifor"}
{"subject": "math:Great_truncated_cuboctahedron", "predicate": "proves", "object": "in geometry, the great truncated cuboctahedron (or quasitruncated cuboctahedron or stellatruncated c"}
{"subject": "math:Truncated_great_dodecahedron", "predicate": "proves", "object": "in geometry, the truncated great dodecahedron is a nonconvex uniform polyhedron, indexed as u37. it "}
{"subject": "math:Small_stellated_truncated_dodecahedron", "predicate": "proves", "object": "in geometry, the small stellated truncated dodecahedron (or quasitruncated small stellated dodecahed"}
{"subject": "math:Great_stellated_truncated_dodecahedron", "predicate": "proves", "object": "in geometry, the great stellated truncated dodecahedron (or quasitruncated great stellated dodecahed"}
{"subject": "math:Truncated_great_icosahedron", "predicate": "proves", "object": "in geometry, the truncated great icosahedron (or great truncated icosahedron) is a nonconvex uniform"}
{"subject": "math:Great_ditrigonal_dodecicosidodecahedron", "predicate": "proves", "object": "in geometry, the great ditrigonal dodecicosidodecahedron (or great dodekified icosidodecahedron) is "}
{"subject": "math:Great_dodecicosidodecahedron", "predicate": "proves", "object": "in geometry, the great dodecicosidodecahedron (or great dodekicosidodecahedron) is a nonconvex unifo"}
{"subject": "math:Small_icosicosidodecahedron", "predicate": "proves", "object": "in geometry, the small icosicosidodecahedron (or small icosified icosidodecahedron) is a nonconvex u"}
{"subject": "math:Rhombidodecadodecahedron", "predicate": "proves", "object": "in geometry, the rhombidodecadodecahedron is a nonconvex uniform polyhedron, indexed as u38. it has "}
{"subject": "math:Icositruncated_dodecadodecahedron", "predicate": "proves", "object": "in geometry, the icositruncated dodecadodecahedron or icosidodecatruncated icosidodecahedron is a no"}
{"subject": "math:Truncated_dodecadodecahedron", "predicate": "proves", "object": "in geometry, the truncated dodecadodecahedron (or stellatruncated dodecadodecahedron) is a nonconvex"}
{"subject": "math:Great_truncated_icosidodecahedron", "predicate": "proves", "object": "in geometry, the great truncated icosidodecahedron (or great quasitruncated icosidodecahedron or ste"}
{"subject": "math:Great_snub_icosidodecahedron", "predicate": "proves", "object": "in geometry, the great snub icosidodecahedron is a nonconvex uniform polyhedron, indexed as u57. it "}
{"subject": "math:Small_snub_icosicosidodecahedron", "predicate": "proves", "object": "in geometry, the small snub icosicosidodecahedron or snub disicosidodecahedron is a uniform star pol"}
{"subject": "math:Snub_dodecadodecahedron", "predicate": "proves", "object": "in geometry, the snub dodecadodecahedron is a nonconvex uniform polyhedron, indexed as . it has 84 f"}
{"subject": "math:Ditrigonal_dodecadodecahedron", "predicate": "proves", "object": "in geometry, the ditrigonal dodecadodecahedron (or ditrigonary dodecadodecahedron) is a nonconvex un"}
{"subject": "math:Great_dodecahemidodecahedron", "predicate": "proves", "object": "in geometry, the great dodecahemidodecahedron is a nonconvex uniform polyhedron, indexed as u70. it "}
{"subject": "math:Small_dodecahemicosahedron", "predicate": "proves", "object": "in geometry, the small dodecahemicosahedron (or great dodecahemiicosahedron) is a nonconvex uniform "}
{"subject": "math:Great_dodecahemicosahedron", "predicate": "proves", "object": "in geometry, the great dodecahemicosahedron (or great dodecahemiicosahedron) is a nonconvex uniform "}
{"subject": "math:Great_icosihemidodecahedron", "predicate": "proves", "object": "in geometry, the great icosihemidodecahedron (or great icosahemidodecahedron) is a nonconvex uniform"}
{"subject": "math:Icosidodecadodecahedron", "predicate": "proves", "object": "in geometry, the icosidodecadodecahedron (or icosified dodecadodecahedron) is a nonconvex uniform po"}
{"subject": "math:Small_ditrigonal_dodecicosidodecahedron", "predicate": "proves", "object": "in geometry, the small ditrigonal dodecicosidodecahedron (or small dodekified icosidodecahedron) is "}
{"subject": "math:Nonconvex_great_rhombicosidodecahedron", "predicate": "proves", "object": "in geometry, the nonconvex great rhombicosidodecahedron is a nonconvex uniform polyhedron, indexed a"}
{"subject": "math:Great_rhombihexahedron", "predicate": "proves", "object": "in geometry, the great rhombihexahedron (or great rhombicube) is a nonconvex uniform polyhedron, ind"}
{"subject": "math:Great_dodecicosahedron", "predicate": "proves", "object": "in geometry, the great dodecicosahedron (or great dodekicosahedron) is a nonconvex uniform polyhedro"}
{"subject": "math:Great_rhombidodecahedron", "predicate": "proves", "object": "in geometry, the great rhombidodecahedron is a nonconvex uniform polyhedron, indexed as u73. it has "}
{"subject": "math:Inverted_snub_dodecadodecahedron", "predicate": "proves", "object": "in geometry, the inverted snub dodecadodecahedron (or vertisnub dodecadodecahedron) is a nonconvex u"}
{"subject": "math:Great_snub_dodecicosidodecahedron", "predicate": "proves", "object": "in geometry, the great snub dodecicosidodecahedron (or great snub dodekicosidodecahedron) is a nonco"}
{"subject": "math:Great_inverted_snub_icosidodecahedron", "predicate": "proves", "object": "in geometry, the great inverted snub icosidodecahedron (or great vertisnub icosidodecahedron) is a u"}
{"subject": "math:Snub_icosidodecadodecahedron", "predicate": "proves", "object": "in geometry, the snub icosidodecadodecahedron is a nonconvex uniform polyhedron, indexed as u46. it "}
{"subject": "math:Small_retrosnub_icosicosidodecahedron", "predicate": "proves", "object": "in geometry, the small retrosnub icosicosidodecahedron (also known as a retrosnub disicosidodecahedr"}
{"subject": "math:Great_retrosnub_icosidodecahedron", "predicate": "proves", "object": "in geometry, the great retrosnub icosidodecahedron or great inverted retrosnub icosidodecahedron is "}
{"subject": "math:M\u00fcnchhausen_trilemma", "predicate": "proves", "object": "in epistemology, the m\u00fcnchhausen trilemma is a thought experiment intended to demonstrate the theore"}
{"subject": "math:Pererius", "predicate": "proves", "object": "pererius may refer to:\n\n benedict pereira (1535\u20131610), spanish jesuit philosopher, theologian, and e"}
{"subject": "math:Dibromoethane", "predicate": "proves", "object": "dibromoethane can refer to either of two isomeric organobromides with the molecular formula c2h4br2:"}
{"subject": "math:Marcos_Mart\u00ednez", "predicate": "proves", "object": "marcos mart\u00ednez ucha (born 15 october 1985 in madrid, spain) is a professional racecar driver.\n\ncare"}
{"subject": "math:Galley_proof", "predicate": "proves", "object": "in printing and publishing, proofs are the preliminary versions of publications meant for review by "}
{"subject": "math:Nico_H\u00fclkenberg", "predicate": "proves", "object": "nicolas h\u00fclkenberg (, born 19 august 1987) is a german racing driver who drives for the haas f1 team"}
{"subject": "math:Bobby_Issazadhe", "predicate": "proves", "object": "bobby issazadhe (born 20,february 1961) is a swedish former professional race car driver and perform"}
{"subject": "math:Ianina_Zanazzi", "predicate": "proves", "object": "ianina zanazzi (born january 7, 1982) is an argentinian professional racecar driver. she was born in"}
{"subject": "math:Curvature_tensor", "predicate": "proves", "object": "in differential geometry, the term curvature tensor may refer to:\n the riemann curvature tensor of a"}
{"subject": "math:Yhprum's_law", "predicate": "proves", "object": "yhprum's law is the opposite of murphy's law. the simple formula of yhprum's law is: \"everything tha"}
{"subject": "math:Isoamyl_acetate", "predicate": "proves", "object": "isoamyl acetate, also known as isopentyl acetate, is an organic compound that is the ester formed fr"}
{"subject": "math:Isoamyl_alcohol", "predicate": "proves", "object": "isoamyl alcohol is a colorless liquid with the formula , specifically (h3c\u2013)2ch\u2013ch2\u2013ch2\u2013oh. it is on"}
{"subject": "math:Supporting_hyperplane", "predicate": "proves", "object": "in geometry, a supporting hyperplane of a set  in euclidean space  is a hyperplane that has both of "}
{"subject": "math:Coke_2", "predicate": "proves", "object": "coke 2 could refer to:\n\nnew coke, the reformulation of coca-cola introduced in 1985 and renamed \"coc"}
{"subject": "math:List_of_films_about_mathematicians", "predicate": "proves", "object": "this is a list of feature films and documentaries that include mathematicians, scientists who use ma"}
{"subject": "math:Convex_geometry", "predicate": "proves", "object": "in mathematics, convex geometry is the branch of geometry studying convex sets, mainly in euclidean "}
{"subject": "math:1,5-Cyclooctadiene", "predicate": "proves", "object": "cycloocta-1,5-diene is a cyclic hydrocarbon with the chemical formula , specifically .\n\nthere are th"}
{"subject": "math:Pigeonite", "predicate": "proves", "object": "pigeonite is a mineral in the clinopyroxene subgroup of the pyroxene group. it has a general formula"}
{"subject": "math:Wilks_coefficient", "predicate": "proves", "object": "the wilks coefficient or wilks formula is a mathematical coefficient that can be used to measure the"}
{"subject": "math:Chromium(II)_chloride", "predicate": "proves", "object": "chromium(ii) chloride describes inorganic compounds with the formula crcl2(h2o)n. the anhydrous soli"}
{"subject": "math:Ula,_Mu\u011fla", "predicate": "proves", "object": "ula is a municipality and district of mu\u011fla province, turkey. its area is 479\u00a0km2, and its populatio"}
{"subject": "math:Hyperboloid_structure", "predicate": "proves", "object": "hyperboloid structures are architectural structures designed using a hyperboloid in one sheet. often"}
{"subject": "math:Silver(I,III)_oxide", "predicate": "proves", "object": "silver(i,iii) oxide or tetrasilver tetroxide is the inorganic compound with the formula ag4o4. it is"}
{"subject": "math:Franz_Rellich", "predicate": "proves", "object": "franz rellich (september 14, 1906 \u2013 september 25, 1955) was an austrian-german mathematician. he mad"}
{"subject": "math:Richard_Dunthorne", "predicate": "proves", "object": "richard dunthorne (1711 \u2013 3 march 1775) was an english astronomer and surveyor, who worked in cambri"}
{"subject": "math:S-Allylcysteine", "predicate": "proves", "object": "s-allylcysteine (sac) is an organosulfur compound that has the formula .  it is the s-allylated deri"}
{"subject": "math:Graph_of_desire", "predicate": "proves", "object": "the graph of desire () is a conceptual tool in lacanianism.\n\nhistory\nlacan devised numerous quasi-ma"}
{"subject": "math:Tellurium_hexafluoride", "predicate": "proves", "object": "tellurium hexafluoride is the inorganic compound of tellurium and fluorine with the chemical formula"}
{"subject": "math:Shockley_diode_equation", "predicate": "proves", "object": "the shockley diode equation, or the diode law, named after transistor co-inventor william shockley o"}
{"subject": "math:F1_Grand_Prix_(2005_video_game)", "predicate": "proves", "object": "f1 grand prix (also known as formula one 2005 portable in japan) is a racing video game developed by"}
{"subject": "math:Euroformula_Open_Championship", "predicate": "proves", "object": "the euroformula open championship (formerly the spanish formula three championship, european f3 open"}
{"subject": "math:Boron_arsenide", "predicate": "proves", "object": "boron arsenide (or arsenic boride) is a chemical compound involving boron and arsenic, usually with "}
{"subject": "math:Louren\u00e7o_da_Veiga", "predicate": "proves", "object": "louren\u00e7o beir\u00e3o da veiga (born 7 september 1979) is a portuguese auto racing driver.\n\ncareer\nhe comp"}
{"subject": "math:Benzamidine", "predicate": "proves", "object": "benzamidine is an organic compound with the formula c6h5c(nh)nh2.  it is the simplest aryl amidine. "}
{"subject": "math:Vanadium_oxytrichloride", "predicate": "proves", "object": "vanadium oxytrichloride is the inorganic compound with the formula vocl3.  this yellow distillable l"}
{"subject": "math:Zubov's_method", "predicate": "proves", "object": "zubov's method is a technique for computing the basin of attraction for a set of ordinary differenti"}
{"subject": "math:Magny-Cours", "predicate": "proves", "object": "magny-cours () is a commune in the ni\u00e8vre department in central france.\n\nit is the home of the circu"}
{"subject": "math:Marbofloxacin", "predicate": "proves", "object": "marbofloxacin is a carboxylic acid derivative third generation fluoroquinolone antibiotic. it is use"}
{"subject": "math:Hexamethylene_diisocyanate", "predicate": "proves", "object": "hexamethylene diisocyanate (hdi) is the organic compound with the formula (ch2)6(nco)2.  it is class"}
{"subject": "math:Chetaev_instability_theorem", "predicate": "proves", "object": "the chetaev instability theorem for dynamical systems states that if there exists, for the system  w"}
{"subject": "math:Big_King", "predicate": "proves", "object": "the big king sandwich is one of the major hamburger products sold by the international fast-food res"}
{"subject": "math:RGE", "predicate": "proves", "object": "rge may refer to\n\nracing green endurance\nrecanati giladi entertainment\nrunaway greenhouse effect\nroc"}
{"subject": "math:Mermin\u2013Wagner_theorem", "predicate": "proves", "object": "in quantum field theory and statistical mechanics, the mermin\u2013wagner theorem (also known as mermin\u2013w"}
{"subject": "math:Higman's_lemma", "predicate": "proves", "object": "in mathematics, higman's lemma states that the set of finite sequences over a finite alphabet, as pa"}
{"subject": "math:James_Rossiter", "predicate": "proves", "object": "james stuart rossiter (born 25 august 1983) is a british former professional racing driver, british "}
{"subject": "math:Convergence_center", "predicate": "proves", "object": "a convergence center is a central place for information and meeting to serve participants during lar"}
{"subject": "math:TBF", "predicate": "proves", "object": "tbf can refer to:\n\ntert-butyl formate, an organic chemical compound with molecular formula c5h10o2\ng"}
{"subject": "math:Fritz_John", "predicate": "proves", "object": "fritz john (14 june 1910 \u2013 10 february 1994) was a german-born mathematician specialising in partial"}
{"subject": "math:Pentamethylcyclopentadiene", "predicate": "proves", "object": "1,2,3,4,5-pentamethylcyclopentadiene is a cyclic diene with the formula , often written , where me i"}
{"subject": "math:Titanocene_dichloride", "predicate": "proves", "object": "titanocene dichloride is the organotitanium compound with the formula (\u03b75-c5h5)2ticl2, commonly abbr"}
{"subject": "math:Pyrylium", "predicate": "proves", "object": "pyrylium is a cation (positive ion) with formula , consisting of a six-membered ring of five carbon "}
{"subject": "math:Gibberellic_acid", "predicate": "proves", "object": "gibberellic acid (also called gibberellin a3 or ga3) is a hormone found in plants and fungi. its che"}
{"subject": "math:W._L._Gore_&_Associates", "predicate": "proves", "object": "w. l. gore & associates, inc. is an american multinational manufacturing company specializing in pro"}
{"subject": "math:Danilo_Dirani", "predicate": "proves", "object": "danilo dirani is a racing driver from brazil. he was born on january 10, 1983, in s\u00e3o paulo. in his "}
{"subject": "math:Octane_(disambiguation)", "predicate": "proves", "object": "octane is an alkane with the chemical formula c8h18. \n\noctane may also refer to:\n\nchemistry\n 2,2,4-t"}
{"subject": "math:Matra_MS80", "predicate": "proves", "object": "the matra ms80 was the fourth formula one car produced by matra (following the ms9, ms10 and ms11). "}
{"subject": "math:Nyerereite", "predicate": "proves", "object": "nyerereite is a very rare sodium calcium carbonate mineral with formula na2ca(co3)2. it forms colorl"}
{"subject": "math:Weeks_manifold", "predicate": "proves", "object": "in mathematics, the weeks manifold, sometimes called the fomenko\u2013matveev\u2013weeks manifold, is a closed"}
{"subject": "math:Lazar_Lyusternik", "predicate": "proves", "object": "lazar aronovich lyusternik (also lusternik, lusternick, ljusternik; ; 31 december 1899 \u2013 22 july 198"}
{"subject": "math:Rooh_Afza", "predicate": "proves", "object": "rooh afza (; ; ) (soul refresher) is a concentrated squash. it was formulated in 1906 in ghaziabad, "}
{"subject": "math:VF4", "predicate": "proves", "object": "vf4 can refer to\n\nvanadium(iv) fluoride, a chemical compound with a formula vf4\nvirtua fighter 4, a "}
{"subject": "math:Dehn_plane", "predicate": "proves", "object": "in geometry, max dehn introduced two examples of planes, a semi-euclidean geometry and a non-legendr"}
{"subject": "math:Kadomtsev\u2013Petviashvili_equation", "predicate": "proves", "object": "in mathematics and physics, the kadomtsev\u2013petviashvili equation (often abbreviated as kp equation) i"}
{"subject": "math:Eukanuba", "predicate": "proves", "object": "eukanuba ( ) is the brand name of dog food and cat food owned and manufactured by mars, incorporated"}
{"subject": "math:Vyt_Bakaitis", "predicate": "proves", "object": "vyt bakaitis (born 1940) is an american translator, editor, and poet born in lithuania and living in"}
{"subject": "math:Tebbe's_reagent", "predicate": "proves", "object": "tebbe's reagent is the organometallic compound with the formula (c5h5)2tich2clal(ch3)2. it is used i"}
{"subject": "math:Q10_(temperature_coefficient)", "predicate": "proves", "object": "{{displaytitle:q10 (temperature coefficient)}}\n\nthe q10 temperature coefficient is a measure of temp"}
{"subject": "math:Mixite", "predicate": "proves", "object": "mixite is a rare copper bismuth arsenate mineral with formula: bicu6(aso4)3(oh)6\u00b73(h2o). it crystall"}
{"subject": "math:K-theory_(physics)", "predicate": "proves", "object": "in string theory, k-theory classification refers to a conjectured application of k-theory (in abstra"}
{"subject": "math:Tantalum_pentoxide", "predicate": "proves", "object": "tantalum pentoxide, also known as tantalum(v) oxide, is the inorganic compound with the formula . it"}
{"subject": "math:Witt's_theorem", "predicate": "proves", "object": "\"witt's theorem\" or \"the witt theorem\" may also refer to the bourbaki\u2013witt fixed point theorem of or"}
{"subject": "math:Truncation_(geometry)", "predicate": "proves", "object": "in geometry, a truncation is an operation in any dimension that cuts polytope vertices, creating a n"}
{"subject": "math:Monoposto_Racing_Club", "predicate": "proves", "object": "the monoposto racing club is a single seater, open-wheeled motor racing club in the united kingdom. "}
{"subject": "math:Singular_point_of_a_curve", "predicate": "proves", "object": "in geometry, a singular point on a curve is one where the curve is not given by a smooth embedding o"}
{"subject": "math:MGO", "predicate": "proves", "object": "mgo may refer to:\n madison general ordinances, madison, wisconsin\nmagnesium oxide, the chemical form"}
{"subject": "math:Maggie_May_(folk_song)", "predicate": "proves", "object": "\"maggie may\" (or \"maggie mae\") (roud no. 1757) is a traditional liverpool folk song about a prostitu"}
{"subject": "math:Trakhtenbrot's_theorem", "predicate": "proves", "object": "in logic, finite model theory, and computability theory, trakhtenbrot's theorem (due to boris trakht"}
{"subject": "math:Oleksandr_Sharkovsky", "predicate": "proves", "object": "oleksandr mykolayovych sharkovsky (also sharkovskyy, sharkovs\u2019kyi, sometimes \u0161arkovskii or sarkovski"}
{"subject": "math:Berlin_Papyrus_6619", "predicate": "proves", "object": "the berlin papyrus 6619, simply called the berlin papyrus when the context makes it clear, is one of"}
{"subject": "math:Ling_adder", "predicate": "proves", "object": "in electronics, a ling adder is a particularly fast binary adder designed using h. ling's equations "}
{"subject": "math:AP_Calculus", "predicate": "proves", "object": "advanced placement (ap) calculus (also known as ap calc, calc ab / calc bc or simply ab / bc) is a s"}
{"subject": "math:Victor_Zalgaller", "predicate": "proves", "object": "victor (viktor) abramovich zalgaller (; ; 25 december 1920 \u2013 2 october 2020) was a russian-israeli m"}
{"subject": "math:Catamorphism", "predicate": "proves", "object": "in category theory, the concept of catamorphism (from the ancient greek:  \"downwards\" and  \"form, sh"}
{"subject": "math:Reference_card", "predicate": "proves", "object": "a reference card or reference sheet (or quick reference card) or crib sheet is a concise bundling of"}
{"subject": "math:Graftonite", "predicate": "proves", "object": "graftonite is an iron(ii), manganese, calcium phosphate mineral with the chemical formula . it forms"}
{"subject": "math:Tuy_H\u00f2a", "predicate": "proves", "object": "tuy h\u00f2a () is the capital city of ph\u00fa y\u00ean province in south-central vietnam. the city has a total ar"}
{"subject": "math:Reinecke's_salt", "predicate": "proves", "object": "reinecke's salt is a chemical compound with the formula nh4[cr(ncs)4(nh3)2]\u00b7h2o. the dark-red crysta"}
{"subject": "math:P-Coumaric_acid", "predicate": "proves", "object": "p-coumaric acid is an organic compound with the formula hoc6h4ch=chco2h. it is one of the three isom"}
{"subject": "math:The_Housekeeper_and_the_Professor", "predicate": "proves", "object": "(literally \"the professor's beloved equation\") is a novel by y\u014dko ogawa set in modern-day japan. it "}
{"subject": "math:Harald_Huysman", "predicate": "proves", "object": "harald huysman (born 7 january 1959) is a former racing driver from norway of  dutch descent.\n\nhe co"}
{"subject": "math:Bruno_Senna", "predicate": "proves", "object": "bruno senna lalli (, born 15 october 1983) is a brazilian professional racing driver. he is the neph"}
{"subject": "math:Disodium_aurothiomalate", "predicate": "proves", "object": "disodium aurothiomalate is a chemical compound with the formula ausch(co2na)ch2co2na.  in conjunctio"}
{"subject": "math:Babinet", "predicate": "proves", "object": "babinet is a surname. notable people with the surname include:\n\n gilles babinet (born 1967), french "}
{"subject": "math:Auxiliary_field", "predicate": "proves", "object": "in physics, and especially quantum field theory, an auxiliary field is one whose equations of motion"}
{"subject": "math:Calcium_ascorbate", "predicate": "proves", "object": "calcium ascorbate is a compound with the molecular formula cac12h14o12. it is the calcium salt of as"}
{"subject": "math:Sodium_ascorbate", "predicate": "proves", "object": "sodium ascorbate is one of a number of mineral salts of ascorbic acid (vitamin c). the molecular for"}
{"subject": "math:Potassium_ascorbate", "predicate": "proves", "object": "potassium ascorbate is a compound with formula kc6h7o6. it is the potassium salt of ascorbic acid (v"}
{"subject": "math:Formula_Continental", "predicate": "proves", "object": "formula continental is a single seater, open wheel racing class in motorsport.  it replaced formula "}
{"subject": "math:Ruslan_Stratonovich", "predicate": "proves", "object": "ruslan leont'evich stratonovich () was a russian physicist, engineer, and probabilist and one of the"}
{"subject": "math:Teflic_acid", "predicate": "proves", "object": "teflic acid is the chemical compound with the formula . this strong acid is related to orthotelluric"}
{"subject": "math:Hatris", "predicate": "proves", "object": "is a puzzle video game developed by alexey pajitnov and vladimir pokhilko of paragraph intl. for bul"}
{"subject": "math:Superposition_theorem", "predicate": "proves", "object": "the superposition theorem is a derived result of the superposition principle suited to the network a"}
{"subject": "math:Oval_(projective_plane)", "predicate": "proves", "object": "in projective geometry an oval is a  point set  in a plane that is defined by incidence properties. "}
{"subject": "math:Metre_per_hour", "predicate": "proves", "object": "metre per hour (american spelling: meter per hour) is a metric unit of both speed (scalar) and veloc"}
{"subject": "math:Teruggite", "predicate": "proves", "object": "teruggite is a mineral with the chemical formula ca4mgas2b12o22(oh)12\u00b712h2o. it is colorless. its cr"}
{"subject": "math:Poisson\u2013Lie_group", "predicate": "proves", "object": "in mathematics, a poisson\u2013lie group is a poisson manifold that is also a lie group, with the group m"}
{"subject": "math:Aubertite", "predicate": "proves", "object": "aubertite is a mineral with the chemical formula cual(so4)2cl\u00b714h2o. it is colored blue. its crystal"}
{"subject": "math:Berborite", "predicate": "proves", "object": "berborite is a beryllium borate mineral with the chemical formula be2(bo3)(oh,f)\u00b7(h2o). it is colorl"}
{"subject": "math:Denjoy's_theorem_on_rotation_number", "predicate": "proves", "object": "in mathematics, the denjoy theorem gives a sufficient condition for a diffeomorphism of the circle t"}
{"subject": "math:Lebesgue's_density_theorem", "predicate": "proves", "object": "in mathematics, lebesgue's density theorem states that for any lebesgue measurable set , the \"densit"}
{"subject": "math:PS5_(disambiguation)", "predicate": "proves", "object": "the playstation 5 is a video game console by sony interactive entertainment.\n\nps5 and variations the"}
{"subject": "math:F._Burton_Jones", "predicate": "proves", "object": "floyd burton jones (november 22, 1910, cisco, texas \u2013 april 15, 1999, santa barbara, california) was"}
{"subject": "math:Perfectly_matched_layer", "predicate": "proves", "object": "a perfectly matched layer (pml) is an artificial absorbing layer for wave equations, commonly used t"}
{"subject": "math:Ovoid_(projective_geometry)", "predicate": "proves", "object": "in projective geometry an ovoid is a sphere like pointset (surface) in a projective space of dimensi"}
{"subject": "math:2-valued_morphism", "predicate": "proves", "object": "in mathematics, a 2-valued morphism is a homomorphism that sends a boolean algebra b onto the two-el"}
{"subject": "math:Method_of_matched_asymptotic_expansions", "predicate": "proves", "object": "in mathematics, the method of matched asymptotic expansions is a common approach to finding an accur"}
{"subject": "math:Rydberg_state", "predicate": "proves", "object": "the rydberg states of an atom or molecule are electronically excited states with energies that follo"}
{"subject": "math:Bentorite", "predicate": "proves", "object": "bentorite is a mineral with the chemical formula . it is colored violet to light violet. its crystal"}
{"subject": "math:Fabianite", "predicate": "proves", "object": "fabianite is a borate mineral with the chemical formula cab3o5(oh). it is colorless and leaves a whi"}
{"subject": "math:Tetracyanoquinodimethane", "predicate": "proves", "object": "tetracyanoquinodimethane (tcnq) is an organic compound with the chemical formula . it is an orange c"}
{"subject": "math:The_Merry_Devil_of_Edmonton", "predicate": "proves", "object": "the merry devil of edmonton is an elizabethan-era stage play; a comedy about a magician, peter fabel"}
{"subject": "math:Alan_van_der_Merwe", "predicate": "proves", "object": "alan van der merwe (born 31 january 1980) is a south african race car driver, entrepreneur and forme"}
{"subject": "math:Aleksei_Pogorelov", "predicate": "proves", "object": "aleksei vasil'evich pogorelov (, ; march 2,\u00a01919 \u2013 december 17,\u00a02002), was a soviet  mathematician. "}
{"subject": "math:2000_24_Hours_of_Le_Mans", "predicate": "proves", "object": "the 2000 24 hours of le mans was the 68th grand prix of endurance, and took place on 17 and 18 june "}
{"subject": "math:Wall_of_Sound_(disambiguation)", "predicate": "proves", "object": "the wall of sound is a music production formula created by phil spector in the 1960s.\n\nwall of sound"}
{"subject": "math:Group_with_operators", "predicate": "proves", "object": "in abstract algebra, a branch of mathematics, the algebraic structure group with operators or \u03c9-grou"}
{"subject": "math:Total_ring_of_fractions", "predicate": "proves", "object": "in abstract algebra, the total quotient ring or total ring of fractions is a construction that gener"}
{"subject": "math:Wigner\u2013Weyl_transform", "predicate": "proves", "object": "in quantum mechanics, the wigner\u2013weyl transform or weyl\u2013wigner transform (after hermann weyl and eug"}
{"subject": "math:Proof_Through_the_Night", "predicate": "proves", "object": "proof through the night is a 1983 album by t bone burnett, produced by jeff eyrich.  proof through t"}
{"subject": "math:Milliken\u2013Taylor_theorem", "predicate": "proves", "object": "in mathematics, the milliken\u2013taylor theorem in combinatorics is a generalization of both ramsey's th"}
{"subject": "math:Basis_theorem", "predicate": "proves", "object": "basis theorem can refer to:\n\n basis theorem (computability), a type of theorem in computability theo"}
{"subject": "math:Vertex_pipeline", "predicate": "proves", "object": "the function of the vertex pipeline in any gpu is to take geometry data (usually supplied as vector "}
{"subject": "math:Primasheet", "predicate": "proves", "object": "primasheet is a rubberized sheet explosive identical to detasheet. manufactured by  ensign-bickford "}
{"subject": "math:The_Automatic_Proofreader", "predicate": "proves", "object": "the automatic proofreader is a series of checksum utilities published by compute! publications for i"}
{"subject": "math:Chow_group", "predicate": "proves", "object": "in algebraic geometry, the chow groups (named after wei-liang chow by ) of an algebraic variety over"}
{"subject": "math:Monochloramine", "predicate": "proves", "object": "monochloramine, often called chloramine, is the chemical compound with the formula nh2cl. together w"}
{"subject": "math:Algebraic_expression", "predicate": "proves", "object": "in mathematics, an algebraic expression is an expression built up from constant algebraic numbers, v"}
{"subject": "math:Jim_Kajiya", "predicate": "proves", "object": "james kajiya is a pioneer in the field of computer graphics. he is perhaps best known for the develo"}
{"subject": "math:Biconjugate_gradient_method", "predicate": "proves", "object": "in mathematics, more specifically in numerical linear algebra, the biconjugate gradient method is an"}
{"subject": "math:Lie_bialgebra", "predicate": "proves", "object": "in mathematics, a lie bialgebra is the lie-theoretic case of a bialgebra: it is a set with a lie alg"}
{"subject": "math:Hirotugu_Akaike", "predicate": "proves", "object": "was a japanese statistician. in the early 1970s, he formulated the akaike information criterion (aic"}
{"subject": "math:Lefschetz_manifold", "predicate": "proves", "object": "in mathematics, a lefschetz manifold is a particular kind of symplectic manifold , sharing a certain"}
{"subject": "math:COMTRAN", "predicate": "proves", "object": "comtran (commercial translator) is an early programming language developed at ibm.  it was intended "}
{"subject": "math:Solvmanifold", "predicate": "proves", "object": "in mathematics, a solvmanifold is a homogeneous space of a connected solvable lie group. it may also"}
{"subject": "math:COGO", "predicate": "proves", "object": "cogo is a suite of programs used in civil engineering for modelling horizontal and vertical alignmen"}
{"subject": "math:Infinite_dihedral_group", "predicate": "proves", "object": "in mathematics, the infinite dihedral group dih\u221e is an infinite group with properties analogous to t"}
{"subject": "math:Twisted_K-theory", "predicate": "proves", "object": "in mathematics, twisted k-theory (also called k-theory with local coefficients) is a variation on k-"}
{"subject": "math:Raymond_Louis_Wilder", "predicate": "proves", "object": "raymond louis wilder (3 november 1896 in palmer, massachusetts \u2013 7 july 1982 in santa barbara, calif"}
{"subject": "math:1,2-Dimethoxybenzene", "predicate": "proves", "object": "1,2-dimethoxybenzene, commonly known as veratrole, is an organic compound with the formula ch(och). "}
{"subject": "math:Reciprocal_rule", "predicate": "proves", "object": "in calculus, the reciprocal rule gives the derivative of the reciprocal of a function f in terms of "}
{"subject": "math:American_Power_Boat_Association", "predicate": "proves", "object": "the american power boat association (apba) is an american membership-owned corporation. in 1903, new"}
{"subject": "math:The_Formula_(2002_film)", "predicate": "proves", "object": "the formula is a fan film that premiered online in 2002. made in iowa by a group of friends over 18 "}
{"subject": "math:Howard_Eves", "predicate": "proves", "object": "howard whitley eves (10 january 1911, new jersey \u2013 6 june 2004) was an american mathematician, known"}
{"subject": "math:Stanis\u0142aw_Ja\u015bkowski", "predicate": "proves", "object": "stanis\u0142aw ja\u015bkowski (polish pronunciation: ; 22 april 1906, in warsaw \u2013 16 november 1965, in warsaw)"}
{"subject": "math:Plutonium_hydride", "predicate": "proves", "object": "plutonium hydride is a non-stoichiometric chemical compound with the formula puh2+x. it is one of tw"}
{"subject": "math:Neighbourhood_(disambiguation)", "predicate": "proves", "object": "a neighbourhood (also spelled neighborhood) is a geographically localised community within a larger "}
{"subject": "math:Union-closed_sets_conjecture", "predicate": "proves", "object": "the union-closed sets conjecture, also known as frankl\u2019s conjecture, is an open problem in combinato"}
{"subject": "math:Julien_Gerbi", "predicate": "proves", "object": "julien gerbi (born october 3, 1985) is a french-algerian racing car driver.\n\ncareer\n\ndebut\n\ngerbi st"}
{"subject": "math:Teddy_Yip_(businessman)", "predicate": "proves", "object": "theodore yip () was an indonesian-dutch businessman and a former formula one team owner of theodore "}
{"subject": "math:Elaidic_acid", "predicate": "proves", "object": "elaidic acid is a chemical compound with the formula , specifically the fatty acid with structural f"}
{"subject": "math:Robert_Moody", "predicate": "proves", "object": "robert vaughan moody,  (; born november 28, 1941) is a canadian mathematician. he is the co-discover"}
{"subject": "math:Erd\u0151s_conjecture_on_arithmetic_progressions", "predicate": "proves", "object": "erd\u0151s' conjecture on arithmetic progressions, often referred to as the erd\u0151s\u2013tur\u00e1n conjecture, is a "}
{"subject": "math:Round_function", "predicate": "proves", "object": "in topology and in calculus,  a round function is a scalar function ,  \nover a manifold , whose crit"}
{"subject": "math:Geometry_instancing", "predicate": "proves", "object": "in real-time computer graphics, geometry instancing is the practice of rendering multiple copies of "}
{"subject": "math:\u03a3-finite_measure", "predicate": "proves", "object": "in mathematics, a positive (or signed) measure \u03bc defined on a \u03c3-algebra \u03c3 of subsets of a set x is c"}
{"subject": "math:Lebesgue's_decomposition_theorem", "predicate": "proves", "object": "in mathematics, more precisely in measure theory, lebesgue's decomposition theorem states that for e"}
{"subject": "math:Milliken's_tree_theorem", "predicate": "proves", "object": "in mathematics, milliken's tree theorem in combinatorics is a partition theorem generalizing ramsey'"}
{"subject": "math:Bromodichloromethane", "predicate": "proves", "object": "bromodichloromethane is a trihalomethane with formula .\n\nbromodichloromethane has formerly been used"}
{"subject": "math:Dibromochloromethane", "predicate": "proves", "object": "dibromochloromethane is a colorless to yellow, heavy and nonflammable compound with formula . it is "}
{"subject": "math:Methyl_isothiocyanate", "predicate": "proves", "object": "methyl isothiocyanate is the organosulfur compound with the formula ch3n=c=s.  this low melting colo"}
{"subject": "math:David_Watt_(computer_scientist)", "predicate": "proves", "object": "david anthony watt (born 5 november 1946) is a british computer scientist.\n\nwatt is a professor at t"}
{"subject": "math:Clausius_theorem", "predicate": "proves", "object": "the clausius theorem (1855), also known as the clausius inequality, states that for a thermodynamic "}
{"subject": "math:Dibenzylideneacetone", "predicate": "proves", "object": "'dibenzylideneacetonedibenzylideneacetone or dibenzalacetone, often abbreviated dba''', is an organi"}
{"subject": "math:Geometry_Center", "predicate": "proves", "object": "the geometry center was a mathematics research and education center at the university of minnesota. "}
{"subject": "math:Kulkarni\u2013Nomizu_product", "predicate": "proves", "object": "in the mathematical field of differential geometry, the kulkarni\u2013nomizu product (named for ravindra "}
{"subject": "math:Nitrosobenzene", "predicate": "proves", "object": "nitrosobenzene is the organic compound with the formula c6h5no. it is one of the prototypical organi"}
{"subject": "math:Bacardi_Superior", "predicate": "proves", "object": "bacardi superior is a white rum made by the bacardi company. in the us it is bottled at 80 proof (40"}
{"subject": "math:Joseph_Mundy", "predicate": "proves", "object": "joseph mundy did early work in computer vision and projective geometry using lisp, when computer vis"}
{"subject": "math:Geometric_analysis", "predicate": "proves", "object": "geometric analysis is a mathematical discipline where tools from differential equations, especially "}
{"subject": "math:Holland's_schema_theorem", "predicate": "proves", "object": "holland's schema theorem, also called the fundamental theorem of genetic algorithms, is an inequalit"}
{"subject": "math:Generalized_minimal_residual_method", "predicate": "proves", "object": "in mathematics, the generalized minimal residual method (gmres) is an iterative method for the numer"}
{"subject": "math:Ammonia_borane", "predicate": "proves", "object": "ammonia borane (also systematically named ammoniotrihydroborate), also called borazane, is the chemi"}
{"subject": "math:4-Ethylphenol", "predicate": "proves", "object": "ethylphenol (4-ep) is an organic compound with the formula c2h5c6h4oh.  it is one of three isomeric "}
{"subject": "math:Michio_Kuga", "predicate": "proves", "object": "was a mathematician who received his ph.d. from university of tokyo in 1960. his work helped lead to"}
{"subject": "math:Tantalum_telluride", "predicate": "proves", "object": "tantalum telluride (tate2) is a chemical compound of tantalum and tellurium. tantalum also forms a t"}
{"subject": "math:Racing_Plast_Burtr\u00e4sk", "predicate": "proves", "object": "racing plast burtr\u00e4sk (rpb) was a swedish company in burtr\u00e4sk that made racing cars and  kit cars. i"}
{"subject": "math:Mania_Spyder", "predicate": "proves", "object": "the mania spyder was a swedish kit car company in falk\u00f6ping selling a sports roadster based on eithe"}
{"subject": "math:Torsion_tensor", "predicate": "proves", "object": "in differential geometry, the notion of torsion is a manner of characterizing a twist or screw of a "}
{"subject": "math:De_Finetti", "predicate": "proves", "object": "de finetti usually refers to the italian statistician bruno de finetti, noted for the \"operational s"}
{"subject": "math:Brabham_BT46", "predicate": "proves", "object": "the brabham bt46 is a formula one racing car designed by gordon murray for the brabham team, owned b"}
{"subject": "math:Epispiral", "predicate": "proves", "object": "the epispiral is a plane curve with polar equation \n.\nthere are n sections if n is odd and 2n if n i"}
{"subject": "math:Alternation_(geometry)", "predicate": "proves", "object": "in geometry, an alternation or partial truncation, is an operation on a polygon, polyhedron, tiling,"}
{"subject": "math:Loop_theorem", "predicate": "proves", "object": "in mathematics, in the topology of 3-manifolds, the loop theorem is a generalization of dehn's lemma"}
{"subject": "math:Lotus_41", "predicate": "proves", "object": "the lotus 41 was a lotus formula 3 and formula 2 racing car which ran from 1966 - 1968. \n\njohn joyce"}
{"subject": "math:Irving_Copi", "predicate": "proves", "object": "irving marmer copi (; n\u00e9 copilovich or copilowish; july 28, 1917 \u2013 august 19, 2002) was an american "}
{"subject": "math:Mrs._Stewart's_Bluing", "predicate": "proves", "object": "mrs. stewart's bluing is a brand of liquid bluing agent used for whitening fabrics. it is primarily "}
{"subject": "math:Uranyl_chloride", "predicate": "proves", "object": "uranyl chloride refers to inorganic compounds with the formula uo2cl2(h2o)n where n = 0, 1, or 3.  t"}
{"subject": "math:2006_Bahrain_Grand_Prix", "predicate": "proves", "object": "the 2006 bahrain grand prix (officially the 2006 formula 1 gulf air bahrain grand prix) was a formul"}
{"subject": "math:Fredholm_theory", "predicate": "proves", "object": "in mathematics, fredholm theory is a theory of integral equations. in the narrowest sense, fredholm "}
{"subject": "math:Otto_Schreier", "predicate": "proves", "object": "otto schreier (3 march 1901 in vienna, austria \u2013 2 june 1929 in hamburg, germany) was a jewish-austr"}
{"subject": "math:Uranate", "predicate": "proves", "object": "a uranate is a ternary oxide involving the element uranium in one of the oxidation states 4, 5 or 6."}
{"subject": "math:Minkowski_geometry", "predicate": "proves", "object": "minkowski geometry may refer to:\n\n the geometry of a finite-dimensional normed space\n the  geometry "}
{"subject": "math:Halpern\u2013L\u00e4uchli_theorem", "predicate": "proves", "object": "in mathematics, the halpern\u2013l\u00e4uchli theorem is a partition result about finite products of infinite "}
{"subject": "math:Bowin_P3", "predicate": "proves", "object": "the bowin p3 is a monocoque racing car that was produced in 1968 by bowin. the p3 was designed for t"}
{"subject": "math:Bowin_P4", "predicate": "proves", "object": "the bowin p4 is a formula ford race car designed and built in australia in the 1970s by bowin.\ndrive"}
{"subject": "math:Bowin_P8", "predicate": "proves", "object": "the bowin p8 is a formula 5000 and formula 2 racing car, which was designed and built between 1972 a"}
{"subject": "math:Dehn's_lemma", "predicate": "proves", "object": "in mathematics, dehn's lemma asserts that a piecewise-linear map of a disk into a 3-manifold, with t"}
{"subject": "math:Wiener\u2013Hopf_method", "predicate": "proves", "object": "the wiener\u2013hopf method is a mathematical technique widely used in applied mathematics. it was initia"}
{"subject": "math:Relation_algebra", "predicate": "proves", "object": "in mathematics and abstract algebra, a relation algebra is a residuated boolean algebra expanded wit"}
{"subject": "math:Lov\u00e1sz_conjecture", "predicate": "proves", "object": "in graph theory, the lov\u00e1sz conjecture (1969) is a classical problem on hamiltonian paths in graphs."}
{"subject": "math:Overconstrained_mechanism", "predicate": "proves", "object": "in mechanical engineering, an overconstrained mechanism is a linkage that has more degrees of freedo"}
{"subject": "math:Chlorosulfuric_acid", "predicate": "proves", "object": "chlorosulfuric acid (iupac name: sulfurochloridic acid) is the inorganic compound with the formula h"}
{"subject": "math:Gap_theorem_(disambiguation)", "predicate": "proves", "object": "in mathematics, gap theorem may refer to:\n\n the weierstrass gap theorem in algebraic geometry\n the o"}
{"subject": "math:Singmaster's_conjecture", "predicate": "proves", "object": "singmaster's conjecture is a conjecture in combinatorial number theory, named after the british math"}
{"subject": "math:Sphere_theorem_(3-manifolds)", "predicate": "proves", "object": "in mathematics, in the topology of 3-manifolds, the sphere theorem of  gives conditions for elements"}
{"subject": "math:Masaki_Kashiwara", "predicate": "proves", "object": "is a japanese mathematician. he was a student of mikio sato at the university of tokyo. kashiwara ma"}
{"subject": "math:Large_countable_ordinal", "predicate": "proves", "object": "in the mathematical discipline of set theory, there are many ways of describing specific countable o"}
{"subject": "math:2006_Malaysian_Grand_Prix", "predicate": "proves", "object": "the 2006 malaysian grand prix (officially the 2006 formula 1 petronas malaysian grand prix) was a fo"}
{"subject": "math:Thomson_Road_Grand_Prix_circuit", "predicate": "proves", "object": "thomson road grand prix circuit was a former street circuit at thomson road in singapore. it hosted "}
{"subject": "math:Deferasirox", "predicate": "proves", "object": "deferasirox, sold under the brand name exjade & asunra (in injectable form) & oleptiss (tablet formu"}
{"subject": "math:Ortho_ester", "predicate": "proves", "object": "in organic chemistry, an ortho ester is a functional group containing three alkoxy groups attached t"}
{"subject": "math:Hood_of_the_Living_Dead", "predicate": "proves", "object": "hood of the living dead is a 2005 direct-to-video zombie movie about a regenerative formula bringing"}
{"subject": "math:Degree_of_a_field_extension", "predicate": "proves", "object": "in mathematics, more specifically field theory, the degree of a field extension is a rough measure o"}
{"subject": "math:2006_Australian_Grand_Prix", "predicate": "proves", "object": "the 2006 australian grand prix (officially the 2006 formula 1 foster's australian grand prix) was a "}
{"subject": "math:Post-Newtonian_expansion", "predicate": "proves", "object": "in general relativity, post-newtonian expansions (pn expansions) are used for finding an approximate"}
{"subject": "math:2-Chlorophenol", "predicate": "proves", "object": "2-chlorophenol or ortho-chlorophenol is an organic compound with the formula c6h4cloh. it is one of "}
{"subject": "math:Roadway_air_dispersion_modeling", "predicate": "proves", "object": "roadway air dispersion modeling is the study of air pollutant transport from a roadway or other line"}
{"subject": "math:Equations_for_a_falling_body", "predicate": "proves", "object": "a set of equations describing the trajectories of objects subject to a constant gravitational force "}
{"subject": "math:Wu_Wenjun", "predicate": "proves", "object": "wu wenjun (; 12 may 1919 \u2013 7 may 2017), also commonly known as wu wen-ts\u00fcn, was a chinese mathematic"}
{"subject": "math:Gadopentetic_acid", "predicate": "proves", "object": "gadopentetic acid, sold under the brand name magnevist, is a gadolinium-based mri contrast agent.\n\ni"}
{"subject": "math:FDT", "predicate": "proves", "object": "fdt may refer to:\n\n \"fdt\" (song), by american rapper yg and featuring nipsey hussle\n democratic fede"}
{"subject": "math:Uranium_tetrachloride", "predicate": "proves", "object": "uranium tetrachloride is an inorganic compound, a salt of uranium and chlorine, with the formula ucl"}
{"subject": "math:Mckelveyite-(Y)", "predicate": "proves", "object": "mckelveyite-(y) is a hydrated sodium, barium, yttrium, and uranium\u2013containing carbonate mineral, wit"}
{"subject": "math:P\u00f3lya_enumeration_theorem", "predicate": "proves", "object": "the p\u00f3lya enumeration theorem, also known as the redfield\u2013p\u00f3lya theorem and p\u00f3lya counting, is a the"}
{"subject": "math:What_Should_You_Do?", "predicate": "proves", "object": "what should you do? is an american reality series that aired on lifetime from april 2003 to january "}
{"subject": "math:Lochlainn_O'Raifeartaigh", "predicate": "proves", "object": "lochlainn o'raifeartaigh (; 11 march 1933 \u2013 18 november 2000) was an irish physicist in the field of"}
{"subject": "math:Proofing", "predicate": "proves", "object": "proofing may refer to:\n\n proofing (armour), the testing of armour for its defensive ability\n proofin"}
{"subject": "math:Haag\u2013\u0141opusza\u0144ski\u2013Sohnius_theorem", "predicate": "proves", "object": "in theoretical physics, the haag\u2013\u0142opusza\u0144ski\u2013sohnius theorem states that if both commutating and ant"}
{"subject": "math:Uncle_Petros_and_Goldbach's_Conjecture", "predicate": "proves", "object": "uncle petros and goldbach's conjecture is a 1992 novel by greek author apostolos doxiadis. it concer"}
{"subject": "math:Propylamine", "predicate": "proves", "object": "propylamine, also known as n-propylamine, is an amine with the chemical formula ch3(ch2)2nh2.  it is"}
{"subject": "math:Mitsuhiro_Shishikura", "predicate": "proves", "object": "is a japanese mathematician working in the field of complex dynamics. he is professor at kyoto unive"}
{"subject": "math:2-Ethylhexanol", "predicate": "proves", "object": "2-ethylhexanol (abbreviated 2-eh) is an organic compound with formula cho. it is a branched, eight-c"}
{"subject": "math:Casio_ClassPad_300", "predicate": "proves", "object": "the casio classpad 300, classpad 330 and fx-cp400 are stylus based touch-screen graphing calculators"}
{"subject": "math:Dubarry_of_Ireland", "predicate": "proves", "object": "dubarry of ireland is an irish-owned company with a collection of premium performance footwear, clot"}
{"subject": "math:Mercury(II)_nitrate", "predicate": "proves", "object": "mercury(ii) nitrate is an inorganic compound with the formula hg(no3)2.xh2o. these colorless or whit"}
{"subject": "math:Asparagusic_acid", "predicate": "proves", "object": "asparagusic acid is an organosulfur compound with the molecular formula  c4h6o2s2 and systematically"}
{"subject": "math:Palais\u2013Smale_compactness_condition", "predicate": "proves", "object": "the palais\u2013smale compactness condition, named after richard palais and stephen smale, is a hypothesi"}
{"subject": "math:Mountain_pass_theorem", "predicate": "proves", "object": "the mountain pass theorem is an existence theorem from the calculus of variations, originally due to"}
{"subject": "math:Thermotime_switch", "predicate": "proves", "object": "a thermotime switch, or tts, is a sensor used to control the cold start enrichment process in some o"}
{"subject": "math:Ken-Ichi_Inada", "predicate": "proves", "object": "was a japanese economist.\n\nbeginning in the 1950s, inada wrote a number of important papers on welfa"}
{"subject": "math:Wold's_theorem", "predicate": "proves", "object": "in statistics, wold's decomposition or the wold representation theorem (not to be confused with the "}
{"subject": "math:Wold's_decomposition", "predicate": "proves", "object": "in mathematics, particularly in operator theory, wold decomposition or wold\u2013von neumann decompositio"}
{"subject": "math:William_Rarita", "predicate": "proves", "object": "william rarit\u00e0 (march 21, 1907 \u2013 july 8, 1999) was an american theoretical physicist who mainly work"}
{"subject": "math:Arthur_S._Lodge", "predicate": "proves", "object": "arthur scott lodge (20 november 1922\u00a0\u2013 24 june 2005) was a prominent rheologist and the originator o"}
{"subject": "math:Hopf_invariant", "predicate": "proves", "object": "in mathematics, in particular in algebraic topology, the hopf invariant is a homotopy invariant of c"}
{"subject": "math:Phenylhydroxylamine", "predicate": "proves", "object": "phenylhydroxylamine is the organic compound with the formula c6h5nhoh.  it is an intermediate in the"}
{"subject": "math:Cupferron", "predicate": "proves", "object": "cupferron is jargon for the ammonium salt of the conjugate base derived from n-nitroso-n-phenylhydro"}
{"subject": "math:Alternant_matrix", "predicate": "proves", "object": "in linear algebra, an alternant matrix is a matrix formed by applying a finite list of functions poi"}
{"subject": "math:V\u00edctor_Neumann-Lara", "predicate": "proves", "object": "v\u00edctor neumann-lara (1933\u20132004) was a mexican mathematician and a pioneer in the field of graph theo"}
{"subject": "math:Spelling_of_disc", "predicate": "proves", "object": "disc and disk are both variants of the english word for objects of a generally thin and cylindrical "}
{"subject": "math:Cadmium_oxide", "predicate": "proves", "object": "cadmium oxide is an inorganic compound with the formula cdo. it is one of the main precursors to oth"}
{"subject": "math:Caloron", "predicate": "proves", "object": "in mathematical physics, a caloron is the finite temperature generalization of an instanton.\n\nfinite"}
{"subject": "math:Kurt_Mahler", "predicate": "proves", "object": "kurt mahler frs (26 july 1903, krefeld, germany \u2013 25 february 1988, canberra, australia) was a germa"}
{"subject": "math:Stanley_Mandelstam", "predicate": "proves", "object": "stanley mandelstam (; 12 december 1928 \u2013 23 june 2016) was a south african theoretical physicist. he"}
{"subject": "math:Patient_trade-off", "predicate": "proves", "object": "the trade-off dilemma, or patient trade-off, refers to the choice between the expected beneficial an"}
{"subject": "math:Rubidium_telluride", "predicate": "proves", "object": "rubidium telluride is the inorganic compound with the formula rb2te.  it is a yellow-green powder th"}
{"subject": "math:Revs_(video_game)", "predicate": "proves", "object": "revs is a 1985 formula three simulation written initially for the bbc micro by geoff crammond and pu"}
{"subject": "math:Agda", "predicate": "proves", "object": "agda may refer to:\n agda (programming language), the programming language and theorem prover\n agda ("}
{"subject": "math:Super_Nova_Racing", "predicate": "proves", "object": "super nova racing was a british racing team that has competed in formula 3000/gp2 and the a1 grand p"}
{"subject": "math:John_Graham_(producer)", "predicate": "proves", "object": "john graham is a british record producer, songwriter, vocalist who is also known under the pseudonym"}
{"subject": "math:Binomial_identity", "predicate": "proves", "object": "binomial identity may refer to:\n\n binomial theorem\n binomial type\n\nsee also \nbinomial (disambiguatio"}
{"subject": "math:Ilam_Park", "predicate": "proves", "object": "ilam park is a  country park situated in ilam, on both banks of the river manifold five miles (8\u00a0km)"}
{"subject": "math:EFPA", "predicate": "proves", "object": "efpa may refer to:\n\nequivalent flat plate area [m2] - used in aircraft drag force calculations\nerlan"}
{"subject": "math:V\u00e1clav_Hlavat\u00fd", "predicate": "proves", "object": "v\u00e1clav hlavat\u00fd (27 january 1894 \u2013 11 january 1969) was a noted czech-american mathematician, who wro"}
{"subject": "math:Karel_Zahradnik", "predicate": "proves", "object": "karel zahradnik (1848\u20131916) was a renowned czech mathematician at the university of zagreb. in his 2"}
{"subject": "math:Jaroslav_H\u00e1jek", "predicate": "proves", "object": "jaroslav h\u00e1jek (; 1926\u20131974) was a czech mathematician who worked in theoretical and nonparametric s"}
{"subject": "math:Karel_Rychl\u00edk", "predicate": "proves", "object": "karel rychl\u00edk (; 1885\u20131968) was a czechoslovak mathematician who contributed significantly to the fi"}
{"subject": "math:Hexafluorosilicic_acid", "predicate": "proves", "object": "hexafluorosilicic acid is an inorganic compound with the chemical formula . aqueous solutions of hex"}
{"subject": "math:Palladium_dicyanide", "predicate": "proves", "object": "palladium(ii) dicyanide is the inorganic compound with the formula pd(cn)2.  a grey solid, it is a c"}
{"subject": "math:Karel_Petr", "predicate": "proves", "object": "karel petr (;  14 june 1868, zbyslav, austria-hungary \u2013 14 february 1950, prague, czechoslovakia) wa"}
{"subject": "math:Jessica_Michibata", "predicate": "proves", "object": "jessica michibata (born october 21, 1984) is a japanese fashion model.\n\npersonal life\nmichibata was "}
{"subject": "math:Gillespie_algorithm", "predicate": "proves", "object": "in probability theory, the gillespie algorithm (or the doob\u2013gillespie algorithm or stochastic simula"}
{"subject": "math:Uranium_borohydride", "predicate": "proves", "object": "uranium borohydride is the inorganic compound with the empirical formula u(bh4)4. two polymeric form"}
{"subject": "math:Uranyl_fluoride", "predicate": "proves", "object": "uranyl fluoride is the inorganic compound with the formula uo2f2.  as shown by x-ray crystallography"}
{"subject": "math:1,4,7-Triazacyclononane", "predicate": "proves", "object": "1,4,7-triazacyclononane, known as \"tacn\" which is pronounced \"tack-en,\" is an aza-crown ether with t"}
{"subject": "math:Ruthenium_tetroxide", "predicate": "proves", "object": "ruthenium tetroxide is the inorganic compound with the formula ruo4. it is a yellow volatile solid t"}
{"subject": "math:Moritz_Pasch", "predicate": "proves", "object": "moritz pasch (8 november 1843, breslau, prussia (now wroc\u0142aw, poland) \u2013 20 september 1930, bad hombu"}
{"subject": "math:Hyperbolic_Dehn_surgery", "predicate": "proves", "object": "in mathematics, hyperbolic dehn surgery is an operation by which one can obtain further hyperbolic 3"}
{"subject": "math:Petasis_reagent", "predicate": "proves", "object": "the petasis reagent, named after nicos a. petasis, is an organotitanium compound with the formula cp"}
{"subject": "math:Geometric_topology_(disambiguation)", "predicate": "proves", "object": "in mathematics, the phrase geometric topology may refer to:\n\n geometric topology, the study of manif"}
{"subject": "math:Marko_Asmer", "predicate": "proves", "object": "marko asmer (born 30 july 1984) is an estonian racing driver, who won the british formula 3 champion"}
{"subject": "math:International_Student_Identity_Card", "predicate": "proves", "object": "the international student identity card (isic) is an internationally accepted proof of students' sta"}
{"subject": "math:Kohn\u2013Sham_equations", "predicate": "proves", "object": "the kohn-sham equations are a set of mathematical equations used in quantum mechanics to simplify th"}
{"subject": "math:Ethernet_Automatic_Protection_Switching", "predicate": "proves", "object": "ethernet automatic protection switching (eaps) is used to create a fault tolerant topology by config"}
{"subject": "math:Molyneux's_problem", "predicate": "proves", "object": "molyneux's problem is a thought experiment in philosophy concerning immediate recovery from blindnes"}
{"subject": "math:Geometric_topology_(object)", "predicate": "proves", "object": "in mathematics, the geometric topology is a topology one can put on the set h of hyperbolic 3-manifo"}
{"subject": "math:Race_of_Champions_(Brands_Hatch)", "predicate": "proves", "object": "the race of champions was a non-championship formula one motor race held at the brands hatch circuit"}
{"subject": "math:Formula_One_(disambiguation)", "predicate": "proves", "object": "formula one is the highest class of auto racing sanctioned by the fia.\n\nformula one or formula 1 may"}
{"subject": "math:Cuntz_algebra", "predicate": "proves", "object": "in mathematics, the cuntz algebra , named after joachim cuntz, is the universal c*-algebra generated"}
{"subject": "math:Urea_phosphate", "predicate": "proves", "object": "urea phosphate is a 1:1 combination of urea and phosphoric acid that is used as a fertilizer. it has"}
{"subject": "math:Solid_Geometry_(film)", "predicate": "proves", "object": "solid geometry is a 2002 short tv film directed by denis lawson and starring his nephew ewan mcgrego"}
{"subject": "math:Gresham_Professor_of_Geometry", "predicate": "proves", "object": "the professor of geometry at gresham college, london, gives free educational lectures to the general"}
{"subject": "math:Inscribed_figure", "predicate": "proves", "object": "in geometry, an inscribed planar shape or solid is one that is enclosed by and \"fits snugly\" inside "}
{"subject": "math:Atomic_formula", "predicate": "proves", "object": "in mathematical logic, an atomic formula (also known as an atom or a prime formula) is a formula wit"}
{"subject": "math:Chamfered_dodecahedron", "predicate": "proves", "object": "in geometry, the chamfered dodecahedron is a convex polyhedron with 80 vertices, 120 edges, and 42 f"}
{"subject": "math:Calogero_conjecture", "predicate": "proves", "object": "the calogero conjecture  is a minority interpretation of quantum mechanics. it is a quantization exp"}
{"subject": "math:Duhamel's_principle", "predicate": "proves", "object": "in mathematics, and more specifically in partial differential equations, duhamel's principle is a ge"}
{"subject": "math:D'Alembert's_formula", "predicate": "proves", "object": "in mathematics, and specifically partial differential equations, d\u00b4alembert's formula is the general"}
{"subject": "math:Euler_(software)", "predicate": "proves", "object": "euler (now euler mathematical toolbox or eumatht) is a free and open-source numerical software packa"}
{"subject": "math:C.a.R.", "predicate": "proves", "object": "c.a.r.\u2013 compass and ruler (also known as z.u.l., which stands for the german \"zirkel und lineal\") \u2014 "}
{"subject": "math:Smith_conjecture", "predicate": "proves", "object": "in mathematics, the smith conjecture  states that if f is a diffeomorphism  of the 3-sphere of finit"}
{"subject": "math:Paul_Althaus_Smith", "predicate": "proves", "object": "paul althaus smith (may 18, 1900june 13, 1980) was an american mathematician. his name occurs in two"}
{"subject": "math:Accelerated_Math", "predicate": "proves", "object": "accelerated math is a daily, progress-monitoring software tool that monitors and manages mathematics"}
{"subject": "math:Cole\u2013Cole_equation", "predicate": "proves", "object": "the cole\u2013cole equation is a relaxation model that is often used to describe dielectric relaxation in"}
{"subject": "math:Tom's_of_Maine", "predicate": "proves", "object": "tom's of maine is a brand name and manufacturing company of natural personal care products. tom's of"}
{"subject": "math:Triphenylmethyl_radical", "predicate": "proves", "object": "the triphenylmethyl radical (often shorted to trityl radical) is an organic compound with the formul"}
{"subject": "math:Toda_Racing", "predicate": "proves", "object": "was established in 1971 in okayama, japan as a maintenance company for racing vehicles and engines. "}
{"subject": "math:1,2-Bis(diphenylphosphino)ethane", "predicate": "proves", "object": "1,2-bis(diphenylphosphino)ethane (dppe) is an organophosphorus compound with the formula (phpch) (ph"}
{"subject": "math:Van_'t_Hoff_equation", "predicate": "proves", "object": "the van 't hoff equation relates the change in the equilibrium constant, , of a chemical reaction to"}
{"subject": "math:Willy_T._Ribbs", "predicate": "proves", "object": "william theodore ribbs jr. (born january 3, 1955) is a retired american race car driver, racing owne"}
{"subject": "math:Fundamental_matrix_(computer_vision)", "predicate": "proves", "object": "in computer vision, the fundamental matrix  is a 3\u00d73 matrix which relates corresponding points in st"}
{"subject": "math:Strepsils", "predicate": "proves", "object": "strepsils is a brand of throat lozenges manufactured by reckitt. strepsils throat lozenges are used "}
{"subject": "math:EGS_(program)", "predicate": "proves", "object": "\nthe egs (electron gamma shower) computer code system is a general purpose package for the monte car"}
{"subject": "math:Bregman_divergence", "predicate": "proves", "object": "in mathematics, specifically statistics and information geometry, a bregman divergence or bregman di"}
{"subject": "math:Tautology_(logic)", "predicate": "proves", "object": "in mathematical logic, a tautology (from ) is a formula or assertion that is true in every possible "}
{"subject": "math:The_Theory_of_Money_and_Credit", "predicate": "proves", "object": "the theory of money and credit is a 1912 economics book written by ludwig von mises, originally publ"}
{"subject": "math:Waban", "predicate": "proves", "object": "waban (16041685) was a native american of the nipmuc group and was thought to be the first native am"}
{"subject": "math:Nitrilotriacetic_acid", "predicate": "proves", "object": "nitrilotriacetic acid (nta) is the aminopolycarboxylic acid with the formula  n(ch2co2h)3. it is a c"}
{"subject": "math:Butorphanol", "predicate": "proves", "object": "butorphanol is a morphinan-type synthetic agonist\u2013antagonist opioid analgesic developed by bristol-m"}
{"subject": "math:Non-Euclidean_crystallographic_group", "predicate": "proves", "object": "in mathematics, a non-euclidean crystallographic group, nec group or n.e.c. group is a discrete grou"}
{"subject": "math:Corona_theorem", "predicate": "proves", "object": "in mathematics, the corona theorem is a result about the spectrum of the bounded holomorphic functio"}
{"subject": "math:Algebraic_manifold", "predicate": "proves", "object": "__notoc__\nin mathematics, an algebraic manifold is an algebraic variety which is also a manifold. as"}
{"subject": "math:Stanis\u0142aw_Go\u0142\u0105b", "predicate": "proves", "object": "stanis\u0142aw go\u0142\u0105b (july 26, 1902 \u2013 april 30, 1980) was a polish mathematician from krak\u00f3w, working in "}
{"subject": "math:Proofs_from_THE_BOOK", "predicate": "proves", "object": "proofs from the book is a book of mathematical proofs by martin aigner and g\u00fcnter m. ziegler. the bo"}
{"subject": "math:Minkowski_plane", "predicate": "proves", "object": "in mathematics, a minkowski plane (named after hermann minkowski) is one of the benz planes (the oth"}
{"subject": "math:Loop_quantum_cosmology", "predicate": "proves", "object": "loop quantum cosmology (lqc) is a finite, symmetry-reduced model of loop quantum gravity (lqg) that "}
{"subject": "math:Algebraic_link", "predicate": "proves", "object": "in the mathematical field of knot theory, an algebraic link is a link that can be decomposed by conw"}
{"subject": "math:Metasilicate", "predicate": "proves", "object": "metasilicates are silicates containing ions of empirical formula . common stoichiometries include ms"}
{"subject": "math:Sodium_metasilicate", "predicate": "proves", "object": "sodium metasilicate is the chemical substance with formula , which is the main component of commerci"}
{"subject": "math:KV_Racing_Technology", "predicate": "proves", "object": "kv racing technology was an auto racing team that last competed in the indycar series. the team was "}
{"subject": "math:Frame_(linear_algebra)", "predicate": "proves", "object": "in linear algebra, a frame of an inner product space is a generalization of a basis of a vector spac"}
{"subject": "math:C6H12O6", "predicate": "proves", "object": "{{displaytitle:c6h12o6}}\n\nthe molecular formula c6h12o6 (molar mass: 180.16 g/mol) may refer to:\n\nhe"}
{"subject": "math:Pease", "predicate": "proves", "object": "pease, in middle english, was a noun referring to the vegetable pea; see that article for its etymol"}
{"subject": "math:Unsuccessful_attempts_to_amend_the_Canadian_Consti", "predicate": "proves", "object": "since the constitution of canada was patriated, in 1982, ten  amendments to the constitution of cana"}
{"subject": "math:2-Mercaptoethanol", "predicate": "proves", "object": "2-mercaptoethanol (also \u03b2-mercaptoethanol, bme, 2bme, 2-me or \u03b2-met) is the chemical compound with t"}
{"subject": "math:Niyaz", "predicate": "proves", "object": "niyaz () is an iranian canadian musical duo. the group was created in 2004 by dj, programmer/produce"}
{"subject": "math:Ferrari_GG50", "predicate": "proves", "object": "the ferrari gg50 is a concept car created by ferrari to mark the fifty years during which giorgetto "}
{"subject": "math:Ethane-1,2-dithiol", "predicate": "proves", "object": "ethane-1,2-dithiol, also known as edt, is a colorless liquid with the formula ch(sh). it has a very "}
{"subject": "math:Nine-point_center", "predicate": "proves", "object": "in geometry, the nine-point center is a triangle center, a point defined from a given triangle in a "}
{"subject": "math:Sunrise_equation", "predicate": "proves", "object": "the sunrise equation or sunset equation can be used to derive the time of sunrise or sunset for any "}
{"subject": "math:Dichlorodifluoroethylene", "predicate": "proves", "object": "a dichlorodifluoroethylene (systematically named dichlorodifluoroethene) is one of three compounds w"}
{"subject": "math:Oxalyl_fluoride", "predicate": "proves", "object": "oxalyl fluoride is the organofluorine compound with the formula (cof)2.  it is a fluorinated derivat"}
{"subject": "math:Quasiprobability_distribution", "predicate": "proves", "object": "a quasiprobability distribution is a mathematical object similar to a probability distribution but w"}
{"subject": "math:Iodotrifluoroethylene", "predicate": "proves", "object": "iodotrifluoroethylene is the organofluorine compound with the formula . it is a volatile colorless l"}
{"subject": "math:Trifluoromethylisocyanide", "predicate": "proves", "object": "trifluoromethylisocyanide is the chemical compound with the formula cf3nc.  it is an isocyanide and "}
{"subject": "math:Hilbert_basis", "predicate": "proves", "object": "hilbert basis may refer to\n in invariant theory, a finite set of invariant polynomials, such that ev"}
{"subject": "math:Sonnenschein\u2013Mantel\u2013Debreu_theorem", "predicate": "proves", "object": "the sonnenschein\u2013mantel\u2013debreu theorem is an important result in general equilibrium economics, prov"}
{"subject": "math:Bromodifluoroacetyl_chloride", "predicate": "proves", "object": "bromodifluoroacetyl chloride is a chemical compound with the formula brcf2cocl.  it has been used as"}
{"subject": "math:Join-calculus", "predicate": "proves", "object": "the join-calculus is a process calculus developed at inria. the join-calculus was developed to provi"}
{"subject": "math:Gateways_to_Annihilation", "predicate": "proves", "object": "gateways to annihilation is the sixth studio album by the death metal band morbid angel.\n\nthis album"}
{"subject": "math:M-sequence", "predicate": "proves", "object": "an m-sequence may refer to:\nregular sequence, which is an important topic in commutative algebra.\na "}
{"subject": "math:Moroccan_Roll", "predicate": "proves", "object": "moroccan roll (1977) is the second studio album by british jazz fusion group brand x. the title is a"}
{"subject": "math:Barium_fluoride", "predicate": "proves", "object": "barium fluoride is an inorganic compound with the formula . it is a colorless solid that occurs in n"}
{"subject": "math:Spherical_harmonic_lighting", "predicate": "proves", "object": "spherical harmonic (sh) lighting is a family of real-time rendering techniques that can produce high"}
{"subject": "math:Indeterminate_equation", "predicate": "proves", "object": "in mathematics, particularly in algebra, an indeterminate equation is an equation for which there is"}
{"subject": "math:Four-vertex_theorem", "predicate": "proves", "object": "the four-vertex theorem of geometry states that the curvature along a simple, closed, smooth plane c"}
{"subject": "math:Leaky_integrator", "predicate": "proves", "object": "in mathematics, a leaky integrator equation is a specific differential equation,  used to describe a"}
{"subject": "math:Methanium", "predicate": "proves", "object": "in chemistry, methanium is a complex positive ion with formula  (metastable transitional form, a car"}
{"subject": "math:Milos_Konopasek", "predicate": "proves", "object": "milos konopasek (died in boston, massachusetts, 9 january 2002) was a czechoslovakia-born mechanical"}
{"subject": "math:Uniform_algebra", "predicate": "proves", "object": "in functional analysis, a uniform algebra a on a compact hausdorff topological space x is a closed ("}
{"subject": "math:Textile_design", "predicate": "proves", "object": "textile design, also known as textile geometry, is the creative and technical process by which threa"}
{"subject": "math:Colin_Murdoch", "predicate": "proves", "object": "colin albert murdoch  (6 february 1929\u00a0\u2013 4 may 2008) was a new zealand pharmacist and veterinarian w"}
{"subject": "math:Yttrialite", "predicate": "proves", "object": "yttrialite or yttrialite-(y) is a rare yttrium thorium sorosilicate mineral with formula: (y,th)2si2"}
{"subject": "math:Aluminium_silicate", "predicate": "proves", "object": "aluminium silicate (or aluminum silicate) is a name commonly applied to chemical compounds which are"}
{"subject": "math:Alexander_Gelfond", "predicate": "proves", "object": "alexander osipovich gelfond (; 24 october 1906 \u2013 7 november 1968) was a soviet mathematician. gelfon"}
{"subject": "math:Double_salt", "predicate": "proves", "object": "a double salt is a salt that contains two or more different cations or anions. examples of double sa"}
{"subject": "math:Titanium(III)_chloride", "predicate": "proves", "object": "titanium(iii) chloride is the inorganic compound with the formula ticl3. at least four distinct spec"}
{"subject": "math:Max_Wilson", "predicate": "proves", "object": "max wilson (born august 22, 1972 in hamburg, west germany) is a racing driver of brazilian parentage"}
{"subject": "math:1,2,4-Trimethylbenzene", "predicate": "proves", "object": "1,2,4-trimethylbenzene, also known as pseudocumene, is an organic compound with the chemical formula"}
{"subject": "math:Phosphole", "predicate": "proves", "object": "phosphole is the organic compound with the chemical formula ; it is the phosphorus analog of pyrrole"}
{"subject": "math:John_Leech_(mathematician)", "predicate": "proves", "object": "john leech (21 july 1926 in weybridge, surrey \u2013 28 september 1992 in scotland) was a british mathema"}
{"subject": "math:Gauss\u2013Manin_connection", "predicate": "proves", "object": "in mathematics, the gauss\u2013manin connection is a connection on a certain vector bundle over a base sp"}
{"subject": "math:Edward_Manifold_Stakes", "predicate": "proves", "object": "the edward manifold stakes is a victoria racing club group 2 thoroughbred horse race for three year "}
{"subject": "math:Dan_Clarke", "predicate": "proves", "object": "daniel clarke (born 4 october 1983) is a british auto racing driver, most recently competing in the "}
{"subject": "math:PacWest_Racing", "predicate": "proves", "object": "pacwest racing was a champ car racing team owned by bruce mccaw founded in 1993.\n\nthe team's first f"}
{"subject": "math:Disulfur_decafluoride", "predicate": "proves", "object": "disulfur decafluoride is a chemical compound with the formula . it was discovered in 1934 by denbigh"}
{"subject": "math:Arsenolite", "predicate": "proves", "object": "arsenolite is an arsenic mineral, chemical formula as4o6. it is formed as an oxidation product of ar"}
{"subject": "math:GD", "predicate": "proves", "object": "gd may refer to:\n\narts and entertainment \n\n g-dragon (born 1988), leader of the south korean musical"}
{"subject": "math:Refinable_function", "predicate": "proves", "object": "in mathematics, in the area of wavelet analysis, a refinable function is a function which fulfils so"}
{"subject": "math:Eikonal_equation", "predicate": "proves", "object": "an eikonal equation (from greek \u03b5\u1f30\u03ba\u03ce\u03bd, image) is a non-linear first-order partial differential equat"}
{"subject": "math:La_Preuve_du_contraire", "predicate": "proves", "object": "la preuve du contraire is the second album by jonatan cerrada. its title literally translates into '"}
{"subject": "math:Selman_Akbulut", "predicate": "proves", "object": "selman akbulut (born 1949) is a turkish mathematician, specializing in research in topology, and geo"}
{"subject": "math:Victor_Kolyvagin", "predicate": "proves", "object": "victor alexandrovich kolyvagin (, born 11 march, 1955) is a russian mathematician who wrote a series"}
{"subject": "math:Modular_elliptic_curve", "predicate": "proves", "object": "a modular elliptic curve is an elliptic curve e that admits a parametrisation x0(n)\u00a0\u2192\u00a0e by a modular"}
{"subject": "math:Scipione_del_Ferro", "predicate": "proves", "object": "scipione del ferro (6 february 1465 \u2013 5 november 1526) was an italian mathematician who first discov"}
{"subject": "math:Benzo(c)cinnoline", "predicate": "proves", "object": "benzo[c]cinnoline is a tricyclic organic compound with the formula c12h8n2. formally this species is"}
{"subject": "math:Hydrogen_telluride", "predicate": "proves", "object": "hydrogen telluride is the inorganic compound with the formula h2te. a hydrogen chalcogenide and the "}
{"subject": "math:Motion_planning", "predicate": "proves", "object": "motion planning, also path planning (also known as the navigation problem or the piano mover's probl"}
{"subject": "math:Dolbear's_law", "predicate": "proves", "object": "dolbear's law states the relationship between the air temperature and the rate at which crickets chi"}
{"subject": "math:Jape_(software)", "predicate": "proves", "object": "jape is a configurable, graphical proof assistant, originally developed by richard bornat at queen m"}
{"subject": "math:Surface_subgroup_conjecture", "predicate": "proves", "object": "in mathematics, the surface subgroup conjecture of friedhelm waldhausen states that the fundamental "}
{"subject": "math:Tameness_theorem", "predicate": "proves", "object": "in mathematics, the tameness theorem states that every complete hyperbolic 3-manifold with finitely "}
{"subject": "math:Transfer_matrix", "predicate": "proves", "object": "in applied mathematics, the transfer matrix is a formulation in terms of a block-toeplitz matrix of "}
{"subject": "math:Realignment_plan", "predicate": "proves", "object": "the realignment plan () (originally dubbed the convergence plan) was a plan by israel to unilaterall"}
{"subject": "math:Brahmagupta's_problem", "predicate": "proves", "object": "this problem was given in india by the mathematician brahmagupta in 628 ad in his treatise brahma sp"}
{"subject": "math:Triethyl_orthoformate", "predicate": "proves", "object": "triethyl orthoformate is an organic compound with the formula hc(oc2h5)3.  this colorless volatile l"}
{"subject": "math:Adams_method", "predicate": "proves", "object": "adams method may refer to:\n\n a method for the numerical solution of ordinary differential equations,"}
{"subject": "math:Tantite", "predicate": "proves", "object": "tantite is a rare tantalum oxide mineral with formula: ta2o5. tantite forms transparent microscopic "}
{"subject": "math:Brauer's_theorem_on_forms", "predicate": "proves", "object": "there also is brauer's theorem on induced characters.\n\nin mathematics, brauer's theorem, named for r"}
{"subject": "math:Classification_theorem", "predicate": "proves", "object": "in mathematics, a classification theorem answers the classification problem \"what are the objects of"}
{"subject": "math:Critical_line", "predicate": "proves", "object": "critical line may refer to:\n\nin mathematics, a specific subset of the complex numbers asserted by th"}
{"subject": "math:Elementary_divisors", "predicate": "proves", "object": "in algebra, the elementary divisors of a module over a principal ideal domain (pid) occur in one for"}
{"subject": "math:Fine_topology", "predicate": "proves", "object": "in mathematics, fine topology can refer to:\n fine topology (potential theory)\n the sense opposite to"}
{"subject": "math:Geometric_modeling", "predicate": "proves", "object": "\n\ngeometric modeling is a branch of applied mathematics and computational geometry that studies meth"}
{"subject": "math:Harmonic_map", "predicate": "proves", "object": "in the mathematical field of differential geometry, a smooth map between riemannian manifolds is cal"}
{"subject": "math:Hilbert's_theorem", "predicate": "proves", "object": "hilbert's theorem may refer to:\n hilbert's theorem (differential geometry), stating there exists no "}
{"subject": "math:Apollonius's_theorem", "predicate": "proves", "object": "in geometry, apollonius's theorem is a theorem relating the length of a median of a triangle to the "}
{"subject": "math:P\u00f3lya_conjecture", "predicate": "proves", "object": "in number theory, the p\u00f3lya conjecture (or p\u00f3lya's conjecture) stated that \"most\" (i.e., 50% or more"}
{"subject": "math:John_McKay_(mathematician)", "predicate": "proves", "object": "john k. s. mckay (18 november 1939 \u2013 19 april 2022) was a british-canadian mathematician and academi"}
{"subject": "math:Aza-crown_ether", "predicate": "proves", "object": "in organic chemistry, an aza-crown ether is an aza analogue of a crown ether (cyclic polyether). tha"}
{"subject": "math:Green's_matrix", "predicate": "proves", "object": "in mathematics, and in particular ordinary differential equations, a green's matrix helps to determi"}
{"subject": "math:Characteristic_multiplier", "predicate": "proves", "object": "in mathematics, and particularly ordinary differential equations, a characteristic multiplier is an "}
{"subject": "math:Monodromy_matrix", "predicate": "proves", "object": "in mathematics, and particularly ordinary differential equations (odes), a monodromy matrix is the f"}
{"subject": "math:Pocket_Ref", "predicate": "proves", "object": "pocket ref is a general-purpose pocket-sized reference book composed of various tips, tables, maps, "}
{"subject": "math:The_Algebra_of_Infinite_Justice", "predicate": "proves", "object": "the algebra of infinite justice (2001) is a collection of essays written by booker prize winner arun"}
{"subject": "math:Bulla_(seal)", "predicate": "proves", "object": "a bulla (medieval latin for \"a round seal\", from classical latin bulla, \"bubble, blob\"; plural bulla"}
{"subject": "math:PDE_surface", "predicate": "proves", "object": "pde surfaces are used in geometric modelling and computer graphics for creating smooth surfaces conf"}
{"subject": "math:Biharmonic_B\u00e9zier_surface", "predicate": "proves", "object": "a biharmonic b\u00e9zier surface is a smooth polynomial surface which conforms to the biharmonic equation"}
{"subject": "math:Holomorphic_separability", "predicate": "proves", "object": "in mathematics in complex analysis, the concept of holomorphic separability is a measure of the rich"}
{"subject": "math:Zinc_bromide", "predicate": "proves", "object": "zinc bromide (znbr2) is an inorganic compound with the chemical formula znbr2.  it is a colourless s"}
{"subject": "math:Ginzburg\u2013Landau_equation", "predicate": "proves", "object": "the ginzburg\u2013landau equation, named after vitaly ginzburg and lev landau, describes the nonlinear ev"}
{"subject": "math:/=", "predicate": "proves", "object": "/= may refer to:\n\n augmented assignment, an operator for division\n relational operator, a symbol mea"}
{"subject": "math:Spectral_theory_of_compact_operators", "predicate": "proves", "object": "in functional analysis, compact operators are linear operators on banach spaces that map bounded set"}
{"subject": "math:Paliperidone", "predicate": "proves", "object": "paliperidone, sold under the trade name invega among others, is an atypical antipsychotic. it is mai"}
{"subject": "math:4-Ethylguaiacol", "predicate": "proves", "object": "4-ethylguaiacol, often abbreviated to 4-eg, is a phenolic compound with the molecular formula c9h12o"}
{"subject": "math:Teslin_(material)", "predicate": "proves", "object": "teslin is a waterproof synthetic printing medium manufactured by ppg industries.  teslin is a single"}
{"subject": "math:Ivan_Petrovsky", "predicate": "proves", "object": "ivan georgievich petrovsky () (18 january 1901 \u2013 15 january 1973) (the family name is also translite"}
{"subject": "math:MU_puzzle", "predicate": "proves", "object": "the mu puzzle is a puzzle stated by douglas hofstadter and found in g\u00f6del, escher, bach involving a "}
{"subject": "math:Bismuth_germanate", "predicate": "proves", "object": "bismuth germanium oxide or bismuth germanate is an inorganic chemical compound of bismuth, germanium"}
{"subject": "math:Nickel(II)_iodide", "predicate": "proves", "object": "nickel(ii) iodide is an inorganic compound with the formula nii2.  this paramagnetic black solid dis"}
{"subject": "math:Silver_carbonate", "predicate": "proves", "object": "silver carbonate is the chemical compound with the formula ag2co3. this salt is yellow but typical s"}
{"subject": "math:Mo_Nunn", "predicate": "proves", "object": "morris nunn (27 september 1938 \u2013 18 july 2018) was an english motor racing team owner and engineer. "}
{"subject": "math:Horseshoe_lemma", "predicate": "proves", "object": "in homological algebra, the horseshoe lemma, also called the simultaneous resolution theorem, is a s"}
{"subject": "math:Covariant_formulation_of_classical_electromagnetis", "predicate": "proves", "object": "the covariant formulation of classical electromagnetism refers to ways of writing the laws of classi"}
{"subject": "math:Maxwell's_equations_in_curved_spacetime", "predicate": "proves", "object": "in physics, maxwell's equations in curved spacetime govern the dynamics of the electromagnetic field"}
{"subject": "math:Adri\u00e1n_Vall\u00e9s", "predicate": "proves", "object": "adri\u00e1n vall\u00e9s escortell (born 3 june 1986) is a spanish race car driver.\n\ncareer\nvall\u00e9s was born in "}
{"subject": "math:F\u00e9lix_Porteiro", "predicate": "proves", "object": "f\u00e9lix porteiro p\u00e9rez (born 26 august 1983 in castell\u00f3n) is a spanish racing driver. he competed in g"}
{"subject": "math:Inhomogeneous_electromagnetic_wave_equation", "predicate": "proves", "object": "in electromagnetism and applications, an inhomogeneous electromagnetic wave equation, or nonhomogene"}
{"subject": "math:Gaud\u00ed_(Robert_Rich_album)", "predicate": "proves", "object": "gaud\u00ed (1991) is an album by the american ambient musician robert rich. it is a tribute to the spanis"}
{"subject": "math:Path_coloring", "predicate": "proves", "object": "in graph theory, path coloring usually refers to one of two problems:\n the problem of coloring a (mu"}
{"subject": "math:Jacobson_ring", "predicate": "proves", "object": "in algebra, a hilbert ring or a jacobson ring is a ring such that every prime ideal is an intersecti"}
{"subject": "math:HOL_Light", "predicate": "proves", "object": "hol light is a member of the hol theorem prover family. like the other members, it is a proof assist"}
{"subject": "math:Hermann_Osthoff", "predicate": "proves", "object": "hermann osthoff (18 april 1847, billmerich  \u2013 7 may 1909, heidelberg) was a german linguist. he was "}
{"subject": "math:Magic_formula_investing", "predicate": "proves", "object": "magic formula investing is an investment technique outlined by joel greenblatt that uses the princip"}
{"subject": "math:Nonene", "predicate": "proves", "object": "nonene is an alkene with the molecular formula c9h18. many structural isomers are possible, dependin"}
{"subject": "math:Scottish_vowel_length_rule", "predicate": "proves", "object": "the scottish vowel length rule (also known as aitken's law after a. j. aitken, the scottish linguist"}
{"subject": "math:Chris_Lawrence_(racing_driver)", "predicate": "proves", "object": "christopher john lawrence (27 july 1933 \u2013 13 august 2011) was a british former racing driver from en"}
{"subject": "math:Chromyl_chloride", "predicate": "proves", "object": "chromyl chloride is an inorganic compound with the formula cro2cl2. it is a reddish brown compound t"}
{"subject": "math:Ammonium_bifluoride", "predicate": "proves", "object": "ammonium bifluoride is the inorganic compound with the formula  or . it is produced from ammonia and"}
{"subject": "math:Abstract_algebraic_logic", "predicate": "proves", "object": "in mathematical logic, abstract algebraic logic is the study of the algebraization of deductive syst"}
{"subject": "math:Identityism", "predicate": "proves", "object": "identityism is  the school of sufi metaphysics of unity of being traditionally known as wahdat al-wu"}
{"subject": "math:Kazuya_Kato", "predicate": "proves", "object": "is a japanese mathematician who works at the university of chicago and specializes in number theory "}
{"subject": "math:Taylor_knock-out_factor", "predicate": "proves", "object": "the taylor knock-out factor, also called taylor ko factor or tkof, is a formulaic mathematical appro"}
{"subject": "math:Reference_Re_Residential_Tenancies_Act_(Ontario)", "predicate": "proves", "object": "reference re residential tenancies act (ontario), [1981] 1 s.c.r. 714 is a leading supreme court of "}
{"subject": "math:NAG_Numerical_Library", "predicate": "proves", "object": "the nag numerical library is a software product developed and sold by the numerical algorithms group"}
{"subject": "math:Barium_iodide", "predicate": "proves", "object": "barium iodide is an inorganic compound with the formula bai2.  the compound exists as an anhydrous a"}
{"subject": "math:Calcium_hydride", "predicate": "proves", "object": "calcium hydride is the chemical compound with the formula , and is therefore an alkaline earth hydri"}
{"subject": "math:Tamperproofing", "predicate": "proves", "object": "tamperproofing, conceptually, is a methodology used to hinder, deter or detect unauthorised access t"}
{"subject": "math:Bombieri\u2013Vinogradov_theorem", "predicate": "proves", "object": "in mathematics, the bombieri\u2013vinogradov theorem (sometimes simply called bombieri's theorem) is a ma"}
{"subject": "math:Vinogradov's_theorem", "predicate": "proves", "object": "in number theory, vinogradov's theorem is a result which implies that any sufficiently large odd int"}
{"subject": "math:Aluminium_phosphide", "predicate": "proves", "object": "aluminium phosphide is a highly toxic inorganic compound with the chemical formula alp, used as a wi"}
{"subject": "math:Test_d'\u00e9valuation_du_fran\u00e7ais", "predicate": "proves", "object": "the test d'\u00e9valuation du fran\u00e7ais (tef) is a test of fluency in french for non-native speakers. it i"}
{"subject": "math:Coefficient_matrix", "predicate": "proves", "object": "in linear algebra, a coefficient matrix is a matrix consisting of the coefficients of the variables "}
{"subject": "math:NP-intermediate", "predicate": "proves", "object": "in computational complexity, problems that are in the complexity class np but are neither in the cla"}
{"subject": "math:Neugebauer_equations", "predicate": "proves", "object": "the neugebauer equations are a set of equations used to model color printing systems, developed by h"}
{"subject": "math:Schaefer's_dichotomy_theorem", "predicate": "proves", "object": "in computational complexity theory, a branch of computer science, schaefer's dichotomy theorem, prov"}
{"subject": "math:Clause_(logic)", "predicate": "proves", "object": "in logic, a clause is a propositional formula formed from a finite collection of literals (atoms or "}
{"subject": "math:Water_balance", "predicate": "proves", "object": "the law of water balance states that the inflows to any water system or area is equal to its outflow"}
{"subject": "math:Routh's_theorem", "predicate": "proves", "object": "in geometry, routh's theorem determines the ratio of areas between a given triangle and a triangle f"}
{"subject": "math:Degree_of_unsaturation", "predicate": "proves", "object": "in the analysis of the molecular formula of organic molecules, the degree of unsaturation (du) (also"}
{"subject": "math:World_Series_Formula_V8_3.5", "predicate": "proves", "object": "the world series formula v8 3.5, formerly the world series by nissan from 1998 to 2004, the formula "}
{"subject": "math:Wiluite", "predicate": "proves", "object": "wiluite is a dark green, brownish, or black blocky silicate mineral with the chemical formula . it h"}
{"subject": "math:Tetrahydrothiophene", "predicate": "proves", "object": "tetrahydrothiophene is an organosulfur compound with the formula (ch2)4s.  the molecule consists of "}
{"subject": "math:Trevor_Wooley", "predicate": "proves", "object": "trevor dion wooley frs (born 17 september 1964) is a british mathematician and currently professor o"}
{"subject": "math:Fibonacci's_identity", "predicate": "proves", "object": "fibonacci's identity may refer either to:\n\n the brahmagupta\u2013fibonacci identity in algebra, showing t"}
{"subject": "math:Robert_Triffin", "predicate": "proves", "object": "robert, baron triffin (5 october 1911 \u2013 23 february 1993) was a belgian-american economist best know"}
{"subject": "math:Caesium_acetate", "predicate": "proves", "object": "caesium acetate or cesium acetate is an ionic caesium compound with the molecular formula ch3coocs. "}
{"subject": "math:AR2", "predicate": "proves", "object": "ar2 may refer to:\n\n ar2 (train), european railbus\n arkhangelsky ar-2, soviet dive bomber\n arkansas's"}
{"subject": "math:Alpha_(programming_language)", "predicate": "proves", "object": "the alpha language was the original database language proposed by edgar f. codd, the inventor of the"}
{"subject": "math:Glaisher's_theorem", "predicate": "proves", "object": "in number theory, glaisher's theorem is an identity useful to the study of integer partitions.  prov"}
{"subject": "math:Fireproof_(Pillar_album)", "predicate": "proves", "object": "fireproof is christian band pillar's second full-length album and their most successful, having sold"}
{"subject": "math:Crofton_formula", "predicate": "proves", "object": "in mathematics, the crofton formula, named after morgan crofton (1826\u20131915), is a classic result of "}
{"subject": "math:Broken_Down:_The_EP", "predicate": "proves", "object": "broken down: the ep is the third release on flicker records by christian rock band pillar. it featur"}
{"subject": "math:List_of_formulae_involving_\u03c0", "predicate": "proves", "object": "the following is a list of significant formulae involving the mathematical constant . many of these "}
{"subject": "math:Rover_KV6_engine", "predicate": "proves", "object": "the kv6 automotive petrol engine has a 24-valve quad-cam v6 configuration, and a pressurising variab"}
{"subject": "math:Chromium(IV)_oxide", "predicate": "proves", "object": "chromium dioxide or chromium(iv) oxide is an inorganic compound with the formula cro2.  it is a blac"}
{"subject": "math:Silver_sulfate", "predicate": "proves", "object": "silver sulfate is the inorganic compound with the formula ag2so4.  it is a white solid with low solu"}
{"subject": "math:1-Octadecene", "predicate": "proves", "object": "1-octadecene is a long-chain hydrocarbon and an alkene with the molecular formula ch2=ch(ch2)15ch3. "}
{"subject": "math:Sobolev_inequality", "predicate": "proves", "object": "in mathematics, there is in mathematical analysis a class of sobolev inequalities, relating norms in"}
{"subject": "math:Silver_subfluoride", "predicate": "proves", "object": "silver subfluoride is the inorganic compound with the formula ag2f. this is an unusual example of a "}
{"subject": "math:Silver_azide", "predicate": "proves", "object": "silver azide is the chemical compound with the formula . it is a silver(i) salt of hydrazoic acid. i"}
{"subject": "math:Silver_chromate", "predicate": "proves", "object": "silver chromate is an inorganic compound with formula ag2cro4 which appears as distinctively coloure"}
{"subject": "math:Gottfried_Haberler", "predicate": "proves", "object": "gottfried von haberler (; july 20, 1900 \u2013 may 6, 1995) was an austrian-american economist. he worked"}
{"subject": "math:Lithium_hypochlorite", "predicate": "proves", "object": "lithium hypochlorite is the colorless, crystalline lithium salt of hypochlorous acid with the chemic"}
{"subject": "math:Jan_Heylen", "predicate": "proves", "object": "jan heylen (born 1 may 1980 in geel) is a championship-winning belgian racing driver, based out of t"}
{"subject": "math:Sequential_space", "predicate": "proves", "object": "in topology and related fields of mathematics, a sequential space is a topological space whose topol"}
{"subject": "math:Turnover-pulse_hypothesis", "predicate": "proves", "object": "the turnover-pulse hypothesis, formulated by paleontologist elisabeth vrba, suggests that major chan"}
{"subject": "math:Grignard_reagent", "predicate": "proves", "object": "a grignard reagent or grignard compound is a chemical compound with the general formula , where x is"}
{"subject": "math:Rotigotine", "predicate": "proves", "object": "rotigotine, sold under the brand name neupro among others, is a dopamine agonist of the non-ergoline"}
{"subject": "math:Verbenone", "predicate": "proves", "object": "verbenone is a natural organic compound classified as a terpene that is found naturally in a variety"}
{"subject": "math:Direxiv", "predicate": "proves", "object": "direxiv co. ltd. was a motorsports company that competed in super gt and formula nippon. the company"}
{"subject": "math:Buzen's_algorithm", "predicate": "proves", "object": "in queueing theory, a discipline within the mathematical theory of probability, buzen's algorithm (o"}
{"subject": "math:Wien_approximation", "predicate": "proves", "object": "wien's approximation (also sometimes called wien's law or the wien distribution law) is a law of phy"}
{"subject": "math:Believe", "predicate": "proves", "object": "believe may refer to: \n\nbelief, a psychological state in which an individual holds a proposition or "}
{"subject": "math:Nexcite", "predicate": "proves", "object": "nexcite is a non-alcoholic carbonated beverage with a proprietary formulation of herbal extracts and"}
{"subject": "math:Mirai_(software)", "predicate": "proves", "object": "mirai is a 3d creation and editing suite available originally from nichimen graphics corporation, la"}
{"subject": "math:Method_of_images", "predicate": "proves", "object": "the method of images (or method of mirror images) is a mathematical tool for solving differential eq"}
{"subject": "math:Sphere_theorem", "predicate": "proves", "object": "in riemannian geometry, the sphere theorem, also known as the quarter-pinched sphere theorem, strong"}
{"subject": "math:Reinhardt_cardinal", "predicate": "proves", "object": "in set theory, a branch of mathematics, a reinhardt cardinal is a kind of large cardinal. reinhardt "}
{"subject": "math:General_formal_ontology", "predicate": "proves", "object": "the general formal ontology (gfo) is an upper ontology integrating processes and objects. gfo has be"}
{"subject": "math:Block_matrix_pseudoinverse", "predicate": "proves", "object": "in mathematics, a block matrix pseudoinverse is a formula for the pseudoinverse of a partitioned mat"}
{"subject": "math:The_Book_of_Squares", "predicate": "proves", "object": "the book of squares, (liber quadratorum in the original latin) is a book on algebra by leonardo fibo"}
{"subject": "math:Enneper_surface", "predicate": "proves", "object": "in differential geometry and algebraic geometry, the enneper surface is a self-intersecting surface "}
{"subject": "math:Scram_(video_game)", "predicate": "proves", "object": "scram: a nuclear power plant simulation is an atari 8-bit family game written by chris crawford and "}
{"subject": "math:Axiom_of_choice_(disambiguation)", "predicate": "proves", "object": "axiom of choice is an axiom of set theory.\n\naxiom of choice may also refer to:\n\naxiom of choice (ban"}
{"subject": "math:Topology_(journal)", "predicate": "proves", "object": "topology was a peer-reviewed mathematical journal covering topology and geometry. it was established"}
{"subject": "math:Easton's_theorem", "predicate": "proves", "object": "in set theory, easton's theorem is a result on the possible cardinal numbers of powersets.   (extend"}
{"subject": "math:Bird\u2013Meertens_formalism", "predicate": "proves", "object": "the bird\u2013meertens formalism (bmf) is a calculus for deriving programs from program specifications (i"}
{"subject": "math:Virtually_Haken_conjecture", "predicate": "proves", "object": "in topology, an area of mathematics, the virtually haken conjecture states that every compact, orien"}
{"subject": "math:Luke_Hines", "predicate": "proves", "object": "luke hines (born 4 may 1982 in hoddesdon, hertfordshire) is a british racing driver. he is the son o"}
{"subject": "math:Theorem_Proving_System", "predicate": "proves", "object": "the theorem proving system (tps)  is an automated theorem proving system for first-order and higher-"}
{"subject": "math:Hydrogen_phosphate", "predicate": "proves", "object": "hydrogen phosphate may refer to \nmonohydrogen phosphate, inorganic ion with the formula [hpo4]2\u2212\ndih"}
{"subject": "math:Dihydrogen_phosphate", "predicate": "proves", "object": "dihydrogen phosphate is an inorganic ion with the formula [h2po4]\u2212. phosphates occur widely in natur"}
{"subject": "math:Thiosulfate", "predicate": "proves", "object": "thiosulfate (iupac-recommended spelling; sometimes thiosulphate in british english) is an oxyanion o"}
{"subject": "math:Ammonium_metavanadate", "predicate": "proves", "object": "ammonium metavanadate is the inorganic compound with the formula nh4vo3.  it is a white salt, althou"}
{"subject": "math:Sodium_metavanadate", "predicate": "proves", "object": "sodium metavanadate is the inorganic compound with the formula navo3. it is a yellow, water-soluble "}
{"subject": "math:Zooko's_triangle", "predicate": "proves", "object": "zooko's triangle is a trilemma of three properties that some people consider desirable for names of "}
{"subject": "math:Victor_Kac", "predicate": "proves", "object": "victor gershevich (grigorievich) kac (; born 19 december 1943) is a soviet  and american mathematici"}
{"subject": "math:Entropy_(statistical_thermodynamics)", "predicate": "proves", "object": "the concept entropy was first developed by german physicist rudolf clausius in the mid-nineteenth ce"}
{"subject": "math:Department_of_Science_and_Technology_(Philippines)", "predicate": "proves", "object": "the department of science and technology (abbreviated as dost; ), is the executive department of the"}
{"subject": "math:Finite_map", "predicate": "proves", "object": "a finite map can be one of the following:\n\n in computer science, finite map is a synonym for an asso"}
{"subject": "math:Whitehead's_lemma", "predicate": "proves", "object": "whitehead's lemma is a technical result in abstract algebra used in algebraic k-theory.  it states t"}
{"subject": "math:Nernst\u2013Planck_equation", "predicate": "proves", "object": "the nernst\u2013planck equation is a conservation of mass equation used to describe the motion of a charg"}
{"subject": "math:Juan_Manuel_Fangio_II", "predicate": "proves", "object": "juan manuel fangio ii (born september 19, 1956 in balcarce, buenos aires, argentina) is an argentine"}
{"subject": "math:Integral_logarithm", "predicate": "proves", "object": "the term integral logarithm may stand for:\n discrete logarithm in algebra,\n logarithmic integral fun"}
{"subject": "math:Lithium_sulfate", "predicate": "proves", "object": "lithium sulfate is a white inorganic salt with the formula li2so4. it is the lithium salt of sulfuri"}
{"subject": "math:Lamm_equation", "predicate": "proves", "object": "the lamm equation describes the sedimentation and diffusion of a solute under ultracentrifugation in"}
{"subject": "math:Cyclic_code", "predicate": "proves", "object": "in coding theory, a cyclic code is a block code, where the circular shifts of each codeword gives an"}
{"subject": "math:Thomas_Banchoff", "predicate": "proves", "object": "thomas francis banchoff (born april 7, 1938) is an american mathematician\nspecializing in geometry. "}
{"subject": "math:Inventory_turnover", "predicate": "proves", "object": "in accounting, the inventory turnover is a measure of the number of times inventory is sold or used "}
{"subject": "math:Midsphere", "predicate": "proves", "object": "in geometry, the midsphere or intersphere of a convex polyhedron is a sphere which is tangent to eve"}
{"subject": "math:Mason\u2013Weaver_equation", "predicate": "proves", "object": "the mason\u2013weaver equation (named after max mason and warren weaver) describes the sedimentation and "}
{"subject": "math:Quartic_plane_curve", "predicate": "proves", "object": "in algebraic geometry, a quartic plane curve is a plane algebraic curve of the fourth degree. it can"}
{"subject": "math:Sodium_hydrosulfide", "predicate": "proves", "object": "sodium hydrosulfide is the chemical compound with the formula nash. this compound is the product of "}
{"subject": "math:Dialin", "predicate": "proves", "object": "dialin (1,2-dihydronaphthalene) is a hydrocarbon with the chemical formula c10h10. it is similar to "}
{"subject": "math:Caesium_chromate", "predicate": "proves", "object": "caesium chromate or cesium chromate is an inorganic compound with the formula cs2cro4. it is a yello"}
{"subject": "math:Tellurium_tetrachloride", "predicate": "proves", "object": "tellurium tetrachloride is the inorganic compound with the empirical formula tecl4. the compound is "}
{"subject": "math:Helen_Blatch", "predicate": "proves", "object": "helen christine blatch (n\u00e9e wilson; 24 january 1934 \u2013 31 december 2015) was a british actress on sta"}
{"subject": "math:Monotone_class_theorem", "predicate": "proves", "object": "in measure theory and probability, the monotone class theorem connects monotone classes and -algebra"}
{"subject": "math:Adams_spectral_sequence", "predicate": "proves", "object": "in mathematics, the adams spectral sequence is a spectral sequence introduced by  which computes the"}
{"subject": "math:Cycle_index", "predicate": "proves", "object": "in combinatorial mathematics a cycle index is a polynomial in several variables which is structured "}
{"subject": "math:Solid_Klein_bottle", "predicate": "proves", "object": "in mathematics, a solid klein bottle is a three-dimensional topological space (a 3-manifold) whose b"}
{"subject": "math:First-order_partial_differential_equation", "predicate": "proves", "object": "in mathematics, a first-order partial differential equation is a partial differential equation that "}
{"subject": "math:Poincar\u00e9_inequality", "predicate": "proves", "object": "in mathematics, the poincar\u00e9 inequality is a result in the theory of sobolev spaces, named after the"}
{"subject": "math:\u039bProlog", "predicate": "proves", "object": "\u03bbprolog, also written lambda prolog, is a logic programming language featuring polymorphic typing, m"}
{"subject": "math:Mike_Groff", "predicate": "proves", "object": "michael dennis groff (born november 16, 1961 in van nuys, california) is a former race car driver wh"}
{"subject": "math:Frege's_theorem", "predicate": "proves", "object": "in metalogic and metamathematics, frege's theorem is a metatheorem that states that the peano axioms"}
{"subject": "math:Antimony_pentachloride", "predicate": "proves", "object": "antimony pentachloride is a chemical compound with the formula sbcl5. it is a colourless oil, but ty"}
{"subject": "math:Disilane", "predicate": "proves", "object": "disilane is a chemical compound with chemical formula  that was identified in 1902 by henri moissan "}
{"subject": "math:Forecast_period_(finance)", "predicate": "proves", "object": "in corporate finance, in the context of discounted cash flow valuation, the forecast period is the t"}
{"subject": "math:Xenon_difluoride", "predicate": "proves", "object": "xenon difluoride is a powerful fluorinating agent with the chemical formula , and one of the most st"}
{"subject": "math:Sasakian_manifold", "predicate": "proves", "object": "in differential geometry, a sasakian manifold (named after shigeo sasaki) is a contact manifold  equ"}
{"subject": "math:Copyright,_Designs_and_Patents_Act_1988", "predicate": "proves", "object": "the copyright, designs and patents act 1988 (c 48), also known as the cdpa, is an act of the parliam"}
{"subject": "math:Symplectic_cut", "predicate": "proves", "object": "in mathematics, specifically in symplectic geometry, the symplectic cut is a geometric modification "}
{"subject": "math:Chiesa", "predicate": "proves", "object": "chiesa (italian, 'church') may refer to:\n\npeople with the surname\nandrea chiesa (born 1966), swiss f"}
{"subject": "math:Morinaga_Milk_Industry", "predicate": "proves", "object": "is a milk products and sweets company based in tokyo, japan, in operation since september 1, 1917. t"}
{"subject": "math:Neopentyl_alcohol", "predicate": "proves", "object": "neopentyl alcohol is a compound with formula (ch3)3cch2oh. it is a colorless solid. the compound is "}
{"subject": "math:Hyperplane_separation_theorem", "predicate": "proves", "object": "in geometry, the hyperplane separation theorem is a theorem about disjoint convex sets in n-dimensio"}
{"subject": "math:Vanadocene_dichloride", "predicate": "proves", "object": "vanadocene dichloride is an organometallic complex with formula (\u03b75-c5h5)2vcl2 (commonly abbreviated"}
{"subject": "math:Yasuhiko_Kawazu", "predicate": "proves", "object": "is a japanese voice actor affiliated with aoni production.\n\nfilmography\n\ntelevision animation\n1991\n "}
{"subject": "math:Vanadium_tetrachloride", "predicate": "proves", "object": "vanadium tetrachloride is the inorganic compound with the formula vcl4.  this reddish-brown liquid s"}
{"subject": "math:Bol_loop", "predicate": "proves", "object": "in mathematics and abstract algebra, a bol loop is an algebraic structure generalizing the notion of"}
{"subject": "math:Sodium_hexanitritocobaltate(III)", "predicate": "proves", "object": "sodium hexanitritocobaltate(iii) is inorganic compound with the formula . the anion of this yellow-c"}
{"subject": "math:Vanadium(III)_chloride", "predicate": "proves", "object": "vanadium(iii) chloride  describes the inorganic compound with the formula vcl3 and its hydrates. it "}
{"subject": "math:Jordan's_lemma", "predicate": "proves", "object": "in complex analysis, jordan's lemma is a result frequently used in conjunction with the residue theo"}
{"subject": "math:Minakshisundaram\u2013Pleijel_zeta_function", "predicate": "proves", "object": "the minakshisundaram\u2013pleijel zeta function is a zeta function encoding the eigenvalues of the laplac"}
{"subject": "math:Uranium_pentafluoride", "predicate": "proves", "object": "uranium pentafluoride is the inorganic compound with the chemical formula uf5.  it is a pale yellow "}
{"subject": "math:Molybdenum(V)_chloride", "predicate": "proves", "object": "molybdenum(v) chloride is the inorganic compound with the empirical formula . this dark volatile sol"}
{"subject": "math:Tungsten_hexachloride", "predicate": "proves", "object": "tungsten hexachloride is an inorganic chemical compound of tungsten and chlorine with the chemical f"}
{"subject": "math:2-Hexanol", "predicate": "proves", "object": "2-hexanol (or hexan-2-ol) is a six carbon alcohol in which the oh group is located on the second car"}
{"subject": "math:Elation", "predicate": "proves", "object": "elation is an emotion of happiness.\n\nelation may also refer to:\ncarnival elation, cruise ship\n a typ"}
{"subject": "math:Michel_Raynaud", "predicate": "proves", "object": "michel raynaud (; 16 june 1938 \u2013 10 march 2018) was a french mathematician working in algebraic geom"}
{"subject": "math:Sulfur_tetrafluoride", "predicate": "proves", "object": "sulfur tetrafluoride is the chemical compound with the formula sf4. it is a colorless corrosive gas "}
{"subject": "math:P-Toluenesulfonyl_hydrazide", "predicate": "proves", "object": "p-toluenesulfonyl hydrazide is the organic compound with the formula ch3c6h4so2nhnh2. it is a white "}
{"subject": "math:Disulfur_dichloride", "predicate": "proves", "object": "disulfur dichloride (or disulphur dichloride by the british english spelling) is the inorganic compo"}
{"subject": "math:Purely_inseparable_extension", "predicate": "proves", "object": "in algebra, a purely inseparable extension of fields is an extension k\u00a0\u2286\u00a0k of fields of characterist"}
{"subject": "math:Czech_passport", "predicate": "proves", "object": "the czech passport (, pas) is an international travel document issued to nationals of the czech repu"}
{"subject": "math:Firestop_pillow", "predicate": "proves", "object": "firestop pillows are passive fire protection items used for firestopping holes to achieve fireproofi"}
{"subject": "math:Hyperboloid_model", "predicate": "proves", "object": "in geometry, the hyperboloid model, also known as the minkowski model after hermann minkowski, is a "}
{"subject": "math:Simple_extension", "predicate": "proves", "object": "in field theory, a simple extension is a field extension which is generated by the adjunction of a s"}
{"subject": "math:Volfied", "predicate": "proves", "object": "is an arcade video game designed by fukio mitsuji and released by taito in 1989. it is a successor t"}
{"subject": "math:Thiophosgene", "predicate": "proves", "object": "thiophosgene is a red liquid with the formula . it is a molecule with trigonal planar geometry. ther"}
{"subject": "math:Energy_monitoring_and_targeting", "predicate": "proves", "object": "energy monitoring and targeting (m&t) is an energy efficiency technique based on the standard manage"}
{"subject": "math:Promethium(III)_oxide", "predicate": "proves", "object": "promethium(iii) oxide is a compound with the formula pm2o3. it is the most common form of promethium"}
{"subject": "math:Elementary_number", "predicate": "proves", "object": "an elementary number is one formalization of the concept of a closed-form number.  the elementary nu"}
{"subject": "math:Hyperbolic_trigonometry", "predicate": "proves", "object": "in mathematics, hyperbolic trigonometry can mean:\n\nthe study of  hyperbolic triangles in hyperbolic "}
{"subject": "math:Wohl", "predicate": "proves", "object": "wohl may refer to:\n\nchemistry \n\n wohl\u2013aue reaction\n wohl degradation\n wohl equation\n wohl\u2013ziegler br"}
{"subject": "math:Regina_(program)", "predicate": "proves", "object": "regina is a suite of mathematical software for 3-manifold topologists. it focuses upon the study of "}
{"subject": "math:Representation_theorem", "predicate": "proves", "object": "in mathematics, a representation theorem is a theorem that states that every abstract structure with"}
{"subject": "math:Werner_Fenchel", "predicate": "proves", "object": "moritz werner fenchel (; 3 may 1905\u00a0\u2013\u00a024 january 1988) was a mathematician known for his contributio"}
{"subject": "math:2-sided", "predicate": "proves", "object": "in mathematics, specifically in topology of manifolds, a compact codimension-one submanifold  of a m"}
{"subject": "math:Riesz_theorem", "predicate": "proves", "object": "the riesz theorem may refer to any of several mathematical theorems due to brothers frigyes riesz an"}
{"subject": "math:Sum_rule", "predicate": "proves", "object": "sum rule may refer to:\n\nsum rule in differentiation, differentiation rules #differentiation is linea"}
{"subject": "math:The_Music's_No_Good_Without_You", "predicate": "proves", "object": "\"the music's no good without you\" is a song recorded by american singer cher for her twenty-fourth s"}
{"subject": "math:Centonization", "predicate": "proves", "object": "in music centonization (from latin cento or patchwork) is a theory about the composition of a melody"}
{"subject": "math:Numena_+_Geometry", "predicate": "proves", "object": "numena + geometry (1997) is an album by the american ambient musician robert rich. it is a two-disc "}
{"subject": "math:Legendre's_equation", "predicate": "proves", "object": "in mathematics, legendre's equation is the diophantine equation\n\nthe equation is named for adrien-ma"}
{"subject": "math:Positive_map", "predicate": "proves", "object": "the term positive map may refer to:\n\n positive-definite functions in classical analysis\n choi's theo"}
{"subject": "math:Shell_theory", "predicate": "proves", "object": "the term shell theory may refer to:\n\n the shell theorem of fields and potentials due to a sphericall"}
{"subject": "math:W-algebra", "predicate": "proves", "object": "in conformal field theory and representation theory, a w-algebra is an associative algebra that gene"}
{"subject": "math:Traditional_Knowledge_Digital_Library", "predicate": "proves", "object": "the traditional knowledge digital library (tkdl) is an indian digital knowledge repository of the tr"}
{"subject": "math:Andrea_Sassetti", "predicate": "proves", "object": "andrea sassetti (born 1960 in fermo) is an italian shoe designer, owner of the italian fashion compa"}
{"subject": "math:Supermathematics", "predicate": "proves", "object": "supermathematics is the branch of mathematical physics which applies the mathematics of lie superalg"}
{"subject": "math:Beltrami\u2013Klein_model", "predicate": "proves", "object": "in geometry, the beltrami\u2013klein model, also called the projective model, klein disk model, and the c"}
{"subject": "math:Holomorphic_vector_bundle", "predicate": "proves", "object": "in mathematics, a holomorphic vector bundle is a complex vector bundle over a complex manifold  such"}
{"subject": "math:Canonical_connection", "predicate": "proves", "object": "in geometry (more specifically differential geometry), a canonical connection can mean either\na cano"}
{"subject": "math:Balian\u2013Low_theorem", "predicate": "proves", "object": "in mathematics, the balian\u2013low theorem in fourier analysis is named for roger balian and francis e. "}
{"subject": "math:Index_of_biotechnology_articles", "predicate": "proves", "object": "\nbiotechnology is a technology based on biology, especially when used in agriculture, food science, "}
{"subject": "math:World_Ranking_Masters", "predicate": "proves", "object": "the world ranking masters was ten-pin bowling's international ranking system, as with professional t"}
{"subject": "math:Arimoclomol", "predicate": "proves", "object": "arimoclomol (inn; originally codenamed brx-345, which is a citrate salt formulation of brx-220) is a"}
{"subject": "math:Megarock_Records", "predicate": "proves", "object": "megarock records was a swedish record label which focused on heavy metal music. it was located in st"}
{"subject": "math:Bicomplex_number", "predicate": "proves", "object": "in abstract algebra, a bicomplex number is a pair  of complex numbers constructed by the cayley\u2013dick"}
{"subject": "math:List_of_contemporary_classical_ensembles", "predicate": "proves", "object": "this page lists ensembles that specialise in contemporary classical music.\n\n ahn trio\n alarm will so"}
{"subject": "math:Fabrizio_del_Monte", "predicate": "proves", "object": "fabrizio del monte (born 5 december 1980 in latina, lazio) is an italian racing driver.\n\nhe drove fo"}
{"subject": "math:Perpendicular_(disambiguation)", "predicate": "proves", "object": "perpendicular is the relationship between two lines which meet at a right angle.\n\nperpendicular may "}
{"subject": "math:Macadamia_oil", "predicate": "proves", "object": "macadamia oil (or macadamia nut oil) is the non-volatile oil collected from the nuts of the macadami"}
{"subject": "math:Alive_Again_(Cher_song)", "predicate": "proves", "object": "\"alive again\" is a song performed by american singer-actress cher from her twenty-fourth studio albu"}
{"subject": "math:Otto_Eberhardt_Patronenfabrik", "predicate": "proves", "object": "otto eberhardt patronenfabrik (english: \"otto eberhardt cartridge factory\") was a munitions company "}
{"subject": "math:Hydrolyzed_jojoba_ester", "predicate": "proves", "object": "hydrolyzed jojoba esters are the hydrolysate of jojoba esters derived by acid, enzyme or other metho"}
{"subject": "math:Isopropyl_jojobate", "predicate": "proves", "object": "isopropyl jojobate is the ester of isopropyl alcohol and the acids derived from jojoba oil. isopropy"}
{"subject": "math:Jojoba_alcohol", "predicate": "proves", "object": "jojoba alcohol is the alcohol fraction obtained by the saponification of jojoba oil from the seeds o"}
{"subject": "math:Ethyl_macadamiate", "predicate": "proves", "object": "ethyl macadamiate is the ester of ethyl alcohol and the fatty acids derived from macadamia ternifoli"}
{"subject": "math:Simmondsia_chinensis_(jojoba)_seed_powder", "predicate": "proves", "object": "simmondsia chinensis (jojoba) seed powder is a powder of the ground seeds of the jojoba, simmondsia "}
{"subject": "math:Lotus_79", "predicate": "proves", "object": "the lotus 79 is a formula one car designed in late 1977 by colin chapman, geoff aldridge, martin ogi"}
{"subject": "math:Lotus_72", "predicate": "proves", "object": "the lotus 72 is a formula one car designed by colin chapman and maurice philippe of lotus for the 19"}
{"subject": "math:Ulv\u00f6spinel", "predicate": "proves", "object": "ulv\u00f6spinel or ulvite is an iron titanium oxide mineral with formula: fe2tio4 or  \ttife2+2o4. it form"}
{"subject": "math:Grassmann\u2013Cayley_algebra", "predicate": "proves", "object": "in mathematics, a grassmann\u2013cayley algebra is the exterior algebra with an additional product, which"}
{"subject": "math:Taxation_in_Australia", "predicate": "proves", "object": "income taxes are the most significant form of taxation in australia, and collected by the federal go"}
{"subject": "math:McLaren_M23", "predicate": "proves", "object": "the mclaren m23 was a formula one racing car designed by gordon coppuck, with input from john barnar"}
{"subject": "math:Vicky_Hern\u00e1ndez", "predicate": "proves", "object": "vicky hern\u00e1ndez is a colombian movie, theater and tv actress born in tulu\u00e1.\n\nwork\n\nfilm\n2016 between"}
{"subject": "math:PEG-16_macadamia_glycerides", "predicate": "proves", "object": "peg-16 macadamia glycerides is the polyethylene glycol derivative of the mono- and diglycerides deri"}
{"subject": "math:Leibniz_operator", "predicate": "proves", "object": "in abstract algebraic logic, a branch of mathematical logic, the leibniz operator is a tool used to "}
{"subject": "math:Banach_function_algebra", "predicate": "proves", "object": "in functional analysis, a banach function algebra on a compact hausdorff space x is unital subalgebr"}
{"subject": "math:Aquiles_Nazoa", "predicate": "proves", "object": "aquiles nazoa (caracas, 17 may 1920 - 26 april 1976) was a venezuelan writer, journalist, poet and h"}
{"subject": "math:Richard_Divila", "predicate": "proves", "object": "ricardo ramsey \"richard\" divila (30 may 1945 \u2013 25 april 2020) was a brazilian motorsports designer. "}
{"subject": "math:Ethylhexyl_palmitate", "predicate": "proves", "object": "ethylhexyl palmitate, also known as octyl palmitate, is the fatty acid ester derived from 2-ethylhex"}
{"subject": "math:The_Pattern_on_the_Stone", "predicate": "proves", "object": "the pattern on the stone: the simple ideas that make computers work is a book by w. daniel hillis, p"}
{"subject": "math:PEG-150_hydrogenated_jojoba", "predicate": "proves", "object": "peg-150 hydrogenated jojoba is an ethoxylated version of fully hydrogenated jojoba wax and the most "}
{"subject": "math:2006_San_Marino_Grand_Prix", "predicate": "proves", "object": "the 2006 san marino grand prix (formally the formula 1 gran premio foster's di san marino 2006) was "}
{"subject": "math:Yao's_principle", "predicate": "proves", "object": "in computational complexity theory, yao's principle (also called yao's minimax principle or yao's le"}
{"subject": "math:Cartan_subgroup", "predicate": "proves", "object": "in the theory of algebraic groups, a cartan subgroup of a connected linear algebraic group  over a ("}
{"subject": "math:Iron_supplement", "predicate": "proves", "object": "iron supplements, also known as iron salts and iron pills, are a number of iron formulations used to"}
{"subject": "math:Jordi_Gen\u00e9", "predicate": "proves", "object": "jordi gen\u00e9 guerrero (born 5 december 1970) is a racing driver who competed in the world touring car "}
{"subject": "math:Aleksandr_Kronrod", "predicate": "proves", "object": "aleksandr semyonovich kronrod (; october 22, 1921 \u2013 october 6, 1986) was a soviet mathematician and "}
{"subject": "math:Joachim_Nitsche", "predicate": "proves", "object": "joachim a. nitsche (september 2, 1926, nossen \u2013 january 12, 1996) was a german mathematician and pro"}
{"subject": "math:Projective_orthogonal_group", "predicate": "proves", "object": "in projective geometry and linear algebra, the projective orthogonal group po is the induced action "}
{"subject": "math:The_Bank_(2001_film)", "predicate": "proves", "object": "the bank is a 2001 australian thriller/drama film directed by robert connolly and starring david wen"}
{"subject": "math:Eigen", "predicate": "proves", "object": "eigen may refer to:\n\n eigen (c++ library), computer programming library for matrix and linear algebr"}
{"subject": "math:Chevalley_theorem", "predicate": "proves", "object": "several theorems proved by the french mathematician claude chevalley bear his name. \n\n chevalley\u2013she"}
{"subject": "math:Complex_affine_space", "predicate": "proves", "object": "affine geometry, broadly speaking, is the study of the geometrical properties of lines, planes, and "}
{"subject": "math:Bruno_Zumino", "predicate": "proves", "object": "bruno zumino (28 april 1923 \u2212 21 june 2014) was an italian theoretical physicist and faculty member "}
{"subject": "math:Lyapunov_theorem", "predicate": "proves", "object": "lyapunov theorem may refer to:\n\n lyapunov theory, a theorem related to the stability of solutions of"}
{"subject": "math:Pentagonal_tiling", "predicate": "proves", "object": "in geometry, a pentagonal tiling is a tiling of the plane where each individual piece is in the shap"}
{"subject": "math:Poincar\u00e9_model", "predicate": "proves", "object": "poincar\u00e9 model can refer to:\n\npoincar\u00e9 disk model, a model of n-dimensional hyperbolic geometry\npoin"}
{"subject": "math:Centre_(geometry)", "predicate": "proves", "object": "in geometry, a centre (british english) or center (american english) () of an object is a point in s"}
{"subject": "math:Hamilton's_principle", "predicate": "proves", "object": "in physics, hamilton's principle is william rowan hamilton's formulation of the principle of station"}
{"subject": "math:Trimethylsilyl_cyanide", "predicate": "proves", "object": "trimethylsilyl cyanide is the chemical compound with the formula (ch3)3sicn. this volatile liquid co"}
{"subject": "math:Kari_Motor_Speedway", "predicate": "proves", "object": "kari motor speedway is a purpose-built formula 3 auto racing circuit or race track, located in chett"}
{"subject": "math:Ludvig_Faddeev", "predicate": "proves", "object": "ludvig dmitrievich faddeev (also ludwig dmitriyevich; ; 23 march 1934 \u2013 26 february 2017) was a sovi"}
{"subject": "math:Berakhah", "predicate": "proves", "object": "in judaism, a berakhah, bracha, ,  (; pl. , berakhot, ; \"benediction,\" \"blessing\") is a formula of b"}
{"subject": "math:Tetrahedroid", "predicate": "proves", "object": "in algebraic geometry, a tetrahedroid (or t\u00e9tra\u00e9dro\u00efde) is a special kind of kummer surface studied "}
{"subject": "math:Tridyakis_icosahedron", "predicate": "proves", "object": "in geometry, the tridyakis icosahedron is the dual polyhedron of the nonconvex uniform polyhedron, i"}
{"subject": "math:Paul_Greifzu", "predicate": "proves", "object": "paul greifzu (7 april 1902 in suhl \u2013 10 may 1952 in dessau) was a german motorsport racer and constr"}
{"subject": "math:Virasoro", "predicate": "proves", "object": "virasoro can refer to:\n\npeople\n miguel \u00e1ngel virasoro (philosopher) (1900\u20131966)\n miguel \u00e1ngel viraso"}
{"subject": "math:Single-equation_methods_(econometrics)", "predicate": "proves", "object": "a variety of methods are used in econometrics to estimate models consisting of a single equation. th"}
{"subject": "math:Milnor's_sphere", "predicate": "proves", "object": "in mathematics, specifically differential and algebraic topology, during the mid 1950's john milnorp"}
{"subject": "math:Spectral_asymmetry", "predicate": "proves", "object": "in mathematics and physics, the spectral asymmetry is the asymmetry in the distribution of the spect"}
{"subject": "math:Sico", "predicate": "proves", "object": "sico may refer to:\n\n sico of benevento or sico i (c. 758\u2013832), prince of benevento\n sico of salerno "}
{"subject": "math:Grand_supercycle", "predicate": "proves", "object": "the grand supercycle is the longest period, or wave, in the growth of a financial market as describe"}
{"subject": "math:Indoxyl", "predicate": "proves", "object": "in organic chemistry, indoxyl is a nitrogenous substance with the chemical formula: c8h7no. indoxyl "}
{"subject": "math:Refounding_Public_Administration", "predicate": "proves", "object": "refounding public administration (1990) is a noted text in the public administration field that form"}
{"subject": "math:NSMB_(mathematics)", "predicate": "proves", "object": "nsmb is a computer system for solving navier\u2013stokes equations using the finite volume method. it sup"}
{"subject": "math:Hypomanganate", "predicate": "proves", "object": "in chemistry, hypomanganate, also called manganate(v) or tetraoxidomanganate(3\u2212), is a trivalent ani"}
{"subject": "math:Hermite's_identity", "predicate": "proves", "object": "in mathematics, hermite's identity, named after charles hermite, gives the value of a summation invo"}
{"subject": "math:Potassium_hypomanganate", "predicate": "proves", "object": "potassium hypomanganate is the inorganic compound with the formula . also known as potassium mangana"}
{"subject": "math:Manganese_heptoxide", "predicate": "proves", "object": "manganese(vii) oxide (manganese heptoxide) is an inorganic compound with the formula mn2o7. this vol"}
{"subject": "math:Lovelock_(novel)", "predicate": "proves", "object": "lovelock is a 1994 science fiction novel by american writers orson scott card and kathryn h. kidd. t"}
{"subject": "math:P2-irreducible_manifold", "predicate": "proves", "object": "{{displaytitle:p2-irreducible manifold}}\nin mathematics, a p2-irreducible manifold is a 3-manifold t"}
{"subject": "math:Heini_Halberstam", "predicate": "proves", "object": "heini halberstam (11 september 1926 \u2013 25 january 2014) was a czech-born british mathematician, worki"}
{"subject": "math:Guido_Stampacchia", "predicate": "proves", "object": "guido stampacchia (26 march 1922 \u2013 27 april 1978) was an italian mathematician, known for his work o"}
{"subject": "math:Category_of_elements", "predicate": "proves", "object": "in category theory, a branch of mathematics, the category of elements of a  presheaf is a category a"}
{"subject": "math:Nullcline", "predicate": "proves", "object": "in mathematical analysis, nullclines, sometimes called zero-growth isoclines, are encountered in a s"}
{"subject": "math:H\u00f6lder's_theorem", "predicate": "proves", "object": "in mathematics, h\u00f6lder's theorem states that the gamma function does not satisfy any algebraic diffe"}
{"subject": "math:Ali_and_Nino", "predicate": "proves", "object": "ali and nino is a novel about a romance between a muslim azerbaijani boy and christian georgian girl"}
{"subject": "math:Critical_point_(set_theory)", "predicate": "proves", "object": "in set theory, the critical point of an elementary embedding of a transitive class into another tran"}
{"subject": "math:Benzoyl_group", "predicate": "proves", "object": "in organic chemistry, benzoyl (, ) is the functional group with the formula  and structure . it can "}
{"subject": "math:BS_1088", "predicate": "proves", "object": "in materials, bs 1088 is the british standard specification for marine plywood that applies to plywo"}
{"subject": "math:Dele", "predicate": "proves", "object": "a dele or deleatur (, ) is an obelism (a proofreading symbol) used to mark something for deletion.\n\n"}
{"subject": "math:List_of_CAS_numbers_by_chemical_compound", "predicate": "proves", "object": "this is a list of cas numbers by chemical formulas and chemical compounds, indexed by formula.the ca"}
{"subject": "math:Jacobi_eigenvalue_algorithm", "predicate": "proves", "object": "in numerical linear algebra, the jacobi eigenvalue algorithm is an iterative method for the calculat"}
{"subject": "math:Titanium_tetraiodide", "predicate": "proves", "object": "titanium tetraiodide is an inorganic compound with the formula tii4.  it is a black volatile solid, "}
{"subject": "math:Quasi-bialgebra", "predicate": "proves", "object": "in mathematics, quasi-bialgebras are a generalization of bialgebras: they were first defined by the "}
{"subject": "math:Quasi-Hopf_algebra", "predicate": "proves", "object": "a quasi-hopf algebra is a generalization of a hopf algebra, which was defined by the russian mathema"}
{"subject": "math:Segal's_conjecture", "predicate": "proves", "object": "segal's burnside ring conjecture, or, more briefly, the segal conjecture, is a theorem in homotopy t"}
{"subject": "math:British_Formula_One_Racing_Team", "predicate": "proves", "object": "british formula one racing team was a formula one team run by brian henton in 1977. henton, a racing"}
{"subject": "math:List_of_triangle_inequalities", "predicate": "proves", "object": "in geometry, triangle inequalities are inequalities involving the parameters of triangles, that hold"}
{"subject": "math:Carbon_tetraiodide", "predicate": "proves", "object": "carbon tetraiodide is a tetrahalomethane with the molecular formula ci4. being bright red, it is a r"}
{"subject": "math:Weyl's_inequality", "predicate": "proves", "object": "in linear algebra, weyl's inequality is a theorem about the changes to eigenvalues of an hermitian m"}
{"subject": "math:Monge\u2013Amp\u00e8re_equation", "predicate": "proves", "object": "in mathematics, a (real) monge\u2013amp\u00e8re equation is a nonlinear second-order partial differential equa"}
{"subject": "math:Midy's_theorem", "predicate": "proves", "object": "in mathematics, midy's theorem, named after french mathematician e. midy, is a statement about the d"}
{"subject": "math:BMW_M12", "predicate": "proves", "object": "the bmw m12/13 turbo was a 1499.8\u00a0cc 4-cylinder turbocharged formula one engine, based on the standa"}
{"subject": "math:Inverse_scattering_transform", "predicate": "proves", "object": "in mathematics, the inverse scattering transform is a method for solving some non-linear partial dif"}
{"subject": "math:Judge's_associate", "predicate": "proves", "object": "a judge's associate is an individual who provides assistance to a judge or court. \n\nin australia, a "}
{"subject": "math:Squared_triangular_number", "predicate": "proves", "object": "in number theory, the sum of the first  cubes is the square of the th triangular number. that is,\n\nt"}
{"subject": "math:Perron's_formula", "predicate": "proves", "object": "in mathematics, and more particularly in analytic number theory, perron's formula is a formula due t"}
{"subject": "math:Purification_theorem", "predicate": "proves", "object": "in game theory, the purification theorem was contributed by nobel laureate john harsanyi in 1973. th"}
{"subject": "math:Thallium(I)_oxide", "predicate": "proves", "object": "thallium(i) oxide is the inorganic compound of thallium and oxygen with the formula tl2o in which th"}
{"subject": "math:Rongalite", "predicate": "proves", "object": "rongalite is a chemical compound with the molecular formula na+hoch2so2\u2212.  this salt has many additi"}
{"subject": "math:Burnside_ring", "predicate": "proves", "object": "in mathematics, the burnside ring of a finite group is an algebraic construction that encodes the di"}
{"subject": "math:Marcel_Costa", "predicate": "proves", "object": "marcel costa (born 4 november 1978 in guardiola de bergued\u00e0) is a spanish auto racing driver.\n\ncaree"}
{"subject": "math:Ethyl_lactate", "predicate": "proves", "object": "ethyl lactate, also known as lactic acid ethyl ester, is the organic compound with the formula ch3ch"}
{"subject": "math:Skuleskogen_National_Park", "predicate": "proves", "object": "skuleskogen national park (, literally the skule forest national park) is a swedish national park in"}
{"subject": "math:Peter_Goddard_(physicist)", "predicate": "proves", "object": "peter goddard  (born 3 september 1945) is a british mathematical physicist who works in string theor"}
{"subject": "math:Civil_Rites", "predicate": "proves", "object": "civil rites is the tenth studio album, by american christian rock band resurrection band (known at t"}
{"subject": "math:A-group", "predicate": "proves", "object": "in mathematics, in the area of abstract algebra known as group theory, an a-group is a type of group"}
{"subject": "math:Imperfect_group", "predicate": "proves", "object": "in mathematics, in the area of algebra known as group theory, an imperfect group is a group with no "}
{"subject": "math:Conjugacy_problem", "predicate": "proves", "object": "in abstract algebra, the conjugacy problem for a group g with a given presentation is the decision p"}
{"subject": "math:Bullvalene", "predicate": "proves", "object": "bullvalene is a hydrocarbon with the chemical formula .  the molecule has a cage-like structure form"}
{"subject": "math:Bryan_John_Birch", "predicate": "proves", "object": "bryan john birch frs (born 25 september 1931) is a british mathematician. his name has been given to"}
{"subject": "math:Tarski's_axiomatization_of_the_reals", "predicate": "proves", "object": "in 1936, alfred tarski set out an axiomatization of the real numbers and their arithmetic, consistin"}
{"subject": "math:Diisobutyl_phthalate", "predicate": "proves", "object": "diisobutyl phthalate (dibp) is a phthalate ester having the structural formula . it is formed by the"}
{"subject": "math:Markus_H\u00f6ttinger", "predicate": "proves", "object": "markus h\u00f6ttinger (28 may 1956 \u2013 13 april 1980) was an austrian racing driver who died after an accid"}
{"subject": "math:Riccardo_Moscatelli", "predicate": "proves", "object": "riccardo moscatelli (1971 in rome \u2013 september 1999) was an italian race car driver. his career began"}
{"subject": "math:Lotus_97T", "predicate": "proves", "object": "the lotus 97t was a formula one racing car designed by g\u00e9rard ducarouge and built by team lotus for "}
{"subject": "math:C9H13NO3", "predicate": "proves", "object": "{{displaytitle:c9h13no3}}\nthe molecular formula c9h13no3 (molar mass: 183.20 g/mol, exact mass: 183."}
{"subject": "math:Concept_virus", "predicate": "proves", "object": "concept virus refers to two different pieces of computer malware, each of which has acted as a proof"}
{"subject": "math:Poinsot's_spirals", "predicate": "proves", "object": "in mathematics, poinsot's spirals are two spirals represented by the polar equations\n\nwhere csch is "}
{"subject": "math:Normal_cone", "predicate": "proves", "object": "in algebraic geometry, the normal cone of a subscheme of a scheme is a scheme analogous to the norma"}
{"subject": "math:Nicardipine", "predicate": "proves", "object": "nicardipine (cardene) is a medication used to treat high blood pressure and angina. it belongs to th"}
{"subject": "math:Coarse_structure", "predicate": "proves", "object": "in the mathematical fields of geometry and topology, a coarse structure on a set x is a collection o"}
{"subject": "math:Lewis_de_Claremont", "predicate": "proves", "object": "lewis de claremont, also spelled louis de clermont, was the pseudonym of an american author on occul"}
{"subject": "math:C3H4", "predicate": "proves", "object": "{{displaytitle:c3h4}}\nthe molecular formula c3h4 (molar mass: 40.06 g/mol, exact mass: 40.0313 u) ma"}
{"subject": "math:Livin'_Proof", "predicate": "proves", "object": "livin' proof is the debut studio album by the american hip hop duo group home. it was released on no"}
{"subject": "math:Hua's_lemma", "predicate": "proves", "object": "in mathematics, hua's lemma, named for hua loo-keng, is an estimate for exponential sums.\n\nit states"}
{"subject": "math:Methyl_bisulfate", "predicate": "proves", "object": "methyl bisulfate is a chemical compound with the molecular formula .  this compound is the mono-meth"}
{"subject": "math:Succinic_anhydride", "predicate": "proves", "object": "succinic anhydride, is an organic compound with the molecular formula (ch2co)2o.  this colorless sol"}
{"subject": "math:Quasi-triangular_quasi-Hopf_algebra", "predicate": "proves", "object": "a quasi-triangular quasi-hopf algebra is a specialized form of a quasi-hopf algebra defined by the u"}
{"subject": "math:Sebacoyl_chloride", "predicate": "proves", "object": "sebacoyl chloride (or sebacoyl dichloride) is a di-acyl chloride, with formula (ch2)8(cocl)2.  a col"}
{"subject": "math:Alison_Wong", "predicate": "proves", "object": "alison wong (born 1960) is a new zealand poet and novelist of chinese heritage.  her background in m"}
{"subject": "math:Formula_LGB", "predicate": "proves", "object": "formula lgb is a series of single seater, open wheel class race cars manufactured by super speeds (a"}
{"subject": "math:Sundaram_Karivaradhan", "predicate": "proves", "object": "sundaram karivaradhan naidu or kari (20 june 1954 \u2013 24 august 1995) was an indian formula racing dri"}
{"subject": "math:Temporal_Process_Language", "predicate": "proves", "object": "in theoretical computer science, temporal process language (tpl) is a process calculus which extends"}
{"subject": "math:Mason's_gain_formula", "predicate": "proves", "object": "mason's gain formula (mgf) is a method for finding the transfer function of a linear signal-flow gra"}
{"subject": "math:William_S._Massey", "predicate": "proves", "object": "william schumacher massey (august 23, 1920 \u2013 june 17, 2017) was an american mathematician, known for"}
{"subject": "math:Otto_R\u00f6ssler", "predicate": "proves", "object": "otto eberhard r\u00f6ssler (born 20 may 1940) is a german biochemist known for his work on chaos theory a"}
{"subject": "math:Aluminoxane", "predicate": "proves", "object": "aluminoxanes are organoaluminium compounds with the formula [ralo]m[r2alo0.5]n[r2aloh]o, where r = o"}
{"subject": "math:AP_Statistics", "predicate": "proves", "object": "advanced placement (ap) statistics (also known as ap stats) is a college-level high school statistic"}
{"subject": "math:Terry_Perkins", "predicate": "proves", "object": "terry perkins or terence perkins may refer to:\n\nterry perkins (died 2018), a perpetrator of the 2015"}
{"subject": "math:Waders_(footwear)", "predicate": "proves", "object": "waders denotes a waterproof boot or overalls extending from the foot to the thigh, the chest or even"}
{"subject": "math:Fermat_(computer_algebra_system)", "predicate": "proves", "object": "fermat (named after pierre de fermat) is a program developed by prof. robert h. lewis of fordham uni"}
{"subject": "math:Alexander_Rose_(author)", "predicate": "proves", "object": "alexander rose (born 1971) is an author and a historian.\n\nearly life\nborn in the united states, rose"}
{"subject": "math:Modified_Morlet_wavelet", "predicate": "proves", "object": "modified mexican hat, modified morlet and dark soliton or darklet wavelets are derived from hyperbol"}
{"subject": "math:J._Hyam_Rubinstein", "predicate": "proves", "object": "joachim hyam rubinstein faa (born 7 march 1948, in melbourne)  an australian top mathematician speci"}
{"subject": "math:Silicon_tetrafluoride", "predicate": "proves", "object": "silicon tetrafluoride or tetrafluorosilane is a chemical compound with the formula sif4.  this color"}
{"subject": "math:Cengkok", "predicate": "proves", "object": "c\u00e9ngkok () (old orthography: tjengkok) are patterns played by the elaborating instruments used in in"}
{"subject": "math:Cauchy\u2013Born_rule", "predicate": "proves", "object": "the cauchy\u2013born rule or cauchy\u2013born approximation is a basic hypothesis used in the mathematical for"}
{"subject": "math:APEX_system", "predicate": "proves", "object": "apex stands for additive system of photographic exposure, which\nwas proposed in the 1960 asa standar"}
{"subject": "math:2-Indolinethione", "predicate": "proves", "object": "2-indolinethione is an organic compound with the formula . it is a derivative of dihydroindole conta"}
{"subject": "math:Hammett_equation", "predicate": "proves", "object": "in organic chemistry, the hammett equation describes a linear free-energy relationship relating reac"}
{"subject": "math:Nelson_Merlo", "predicate": "proves", "object": "nelson merlo (born 15 july 1983) is a brazilian racing driver. in 2005, he won the brazilian formula"}
{"subject": "math:Ideal_point", "predicate": "proves", "object": "in hyperbolic geometry, an ideal point, omega point or point at infinity is a well-defined point out"}
{"subject": "math:Humiaki_Huzita", "predicate": "proves", "object": "humiaki huzita (japanese: \u85e4\u7530\u6587\u7ae0, hepburn romanization: fujita fumiaki) was a japanese-born, mathemati"}
{"subject": "math:F14_(disambiguation)", "predicate": "proves", "object": "the grumman f-14 tomcat is an american jet fighter aircraft.\n\nf14, f.xiv, f.14 or f-14 may also refe"}
{"subject": "math:Lutetium_aluminium_garnet", "predicate": "proves", "object": "lutetium aluminum garnet (commonly abbreviated luag, molecular formula lu3al5o12) is an inorganic co"}
{"subject": "math:DFZ", "predicate": "proves", "object": "dfz may refer to:\n\n cosworth dfz, an engine produced for formula one racing\n default-free zone, a co"}
{"subject": "math:Cantor_cube", "predicate": "proves", "object": "in mathematics, a cantor cube is a topological group of the form {0, 1}a for some index set a. its a"}
{"subject": "math:Tijdeman's_theorem", "predicate": "proves", "object": "in number theory, tijdeman's theorem states that there are at most a finite number of consecutive po"}
{"subject": "math:Tetrazolium_chloride", "predicate": "proves", "object": "triphenyl tetrazolium chloride, ttc, or simply tetrazolium chloride (with the formula 2,3,5-tripheny"}
{"subject": "math:Israel_Nathan_Herstein", "predicate": "proves", "object": "israel nathan herstein (march 28, 1923 \u2013 february 9, 1988) was a mathematician, appointed as profess"}
{"subject": "math:Siegenite", "predicate": "proves", "object": "siegenite (also called grimmite, or nickel cobalt sulfide) is a ternary transition metal dichalcogen"}
{"subject": "math:'t_Hooft_symbol", "predicate": "proves", "object": "the t hooft symbol is a collection of numbers which allows one to express the generators of the su(2"}
{"subject": "math:BPST_instanton", "predicate": "proves", "object": "in theoretical physics, the bpst instanton is the instanton with winding number 1 found by alexander"}
{"subject": "math:Gottesman\u2013Knill_theorem", "predicate": "proves", "object": "in quantum computing, the gottesman\u2013knill theorem is a theoretical result by daniel gottesman and em"}
{"subject": "math:Elliptic_coordinate_system", "predicate": "proves", "object": "in geometry, the elliptic coordinate system is a two-dimensional orthogonal coordinate system in whi"}
{"subject": "math:Hopf_conjecture", "predicate": "proves", "object": "in mathematics, hopf conjecture may refer to one of several conjectural statements from differential"}
{"subject": "math:Oppenheim_conjecture", "predicate": "proves", "object": "in diophantine approximation, the oppenheim conjecture concerns representations of numbers by real q"}
{"subject": "math:Sweater_curse", "predicate": "proves", "object": "the \"sweater curse\" or \"curse of the love sweater\" is a term used by knitters to describe the belief"}
{"subject": "math:Tsuruichi_Hayashi", "predicate": "proves", "object": "was a japanese mathematician and historian of japanese mathematics. he was born in tokushima, japan."}
{"subject": "math:Weyl_character_formula", "predicate": "proves", "object": "in mathematics, the weyl character formula in representation theory describes the characters of irre"}
{"subject": "math:Symmetry_set", "predicate": "proves", "object": "in geometry, the symmetry set is a method for representing the local symmetries of a curve, and can "}
{"subject": "math:Hot_Rods_(oval_racing)", "predicate": "proves", "object": "hot rods refers to a number of british oval racing formula (not to be confused with hot rods, which "}
{"subject": "math:Silver_acetate", "predicate": "proves", "object": "silver acetate is a coordination compound with the empirical formula ch3co2ag (or agc2h3o2). a photo"}
{"subject": "math:Aluminium_fluoride", "predicate": "proves", "object": "aluminium fluoride is an inorganic compound with the formula . it forms hydrates . anhydrous  and it"}
{"subject": "math:Conway_polyhedron_notation", "predicate": "proves", "object": "in geometry, conway polyhedron notation, invented by john horton conway and promoted by george w. ha"}
{"subject": "math:Aluminium_sulfide", "predicate": "proves", "object": "aluminium sulfide is a chemical compound with the formula al2s3. this colorless species has an inter"}
{"subject": "math:Aluminium_selenide", "predicate": "proves", "object": "aluminium selenide is the inorganic compound with the formula al2se3.\n\npreparation\nit is a solid pre"}
{"subject": "math:HN1_(nitrogen_mustard)", "predicate": "proves", "object": "bis(2-chloroethyl)ethylamine is the organic compound with the formula c2h5n(ch2ch2cl)2.  often abbre"}
{"subject": "math:HN3_(nitrogen_mustard)", "predicate": "proves", "object": "tris(2-chloroethyl)amine is the organic compound with the formula n(ch2ch2cl)3. often abbreviated hn"}
{"subject": "math:Arsenic_triselenide", "predicate": "proves", "object": "arsenic triselenide is an inorganic chemical compound with the chemical formula .\n\namorphous arsenic"}
{"subject": "math:Melody_type", "predicate": "proves", "object": "melody type or type-melody is a set of melodic formulas, figures, and patterns.\n\nterm and typical me"}
{"subject": "math:Arsenic_tribromide", "predicate": "proves", "object": "arsenic tribromide is the inorganic compound with the formula asbr3.  this pyramidal molecule is the"}
{"subject": "math:Arsenic_trichloride", "predicate": "proves", "object": "arsenic trichloride is an inorganic compound with the formula ascl3, also known as arsenous chloride"}
{"subject": "math:Apollonian_circles", "predicate": "proves", "object": "in geometry, apollonian circles are two families (pencils) of circles such that every circle in the "}
{"subject": "math:Gold(III)_bromide", "predicate": "proves", "object": "gold(iii) bromide is a dark-red to black crystalline solid. it has the empirical formula , but exist"}
{"subject": "math:257-gon", "predicate": "proves", "object": "in geometry, 257-gon, also known broadly as the dihectapentacontakaiheptagon, is a polygon with 257 "}
{"subject": "math:Calcium_arsenate", "predicate": "proves", "object": "calcium arsenate is the inorganic compound with the formula ca3(aso4)2. a colourless salt, it was or"}
{"subject": "math:65537-gon", "predicate": "proves", "object": "in geometry, a 65537-gon is a polygon with 65,537 (216 + 1) sides. the sum of the interior angles of"}
{"subject": "math:Antimony_pentoxide", "predicate": "proves", "object": "antimony pentoxide (molecular formula: sb2o5) is a chemical compound of antimony and oxygen. it cont"}
{"subject": "math:Antimony_trichloride", "predicate": "proves", "object": "antimony trichloride is the chemical compound with the formula sbcl3. it is a soft colorless solid w"}
{"subject": "math:Paris'_law", "predicate": "proves", "object": "paris' law (also known as the paris\u2013erdogan equation) is a crack growth equation that gives the rate"}
{"subject": "math:Peter_Ozsv\u00e1th", "predicate": "proves", "object": "peter steven ozsv\u00e1th (born october 20, 1967) is a professor of mathematics at princeton university. "}
{"subject": "math:Paul_Stewart_(racing_driver)", "predicate": "proves", "object": "paul evan stewart (born 29 october 1965 in dumbarton, scotland) is a former racing driver and the so"}
{"subject": "math:Ils_ont_chang\u00e9_ma_chanson", "predicate": "proves", "object": "this album of dalida coincided with several changes in her career: the 1970s were coming, her label "}
{"subject": "math:Sesquimustard", "predicate": "proves", "object": "sesquimustard (military code q) is the organosulfur compound with the formula . although it is a col"}
{"subject": "math:2006_European_Grand_Prix", "predicate": "proves", "object": "the 2006 european grand prix (formally the 2006 formula 1 grand prix of europe)  was a formula one m"}
{"subject": "math:Incompressibility", "predicate": "proves", "object": "incompressibility may refer to:\n a property in thermodynamics and fluid dynamics, see compressibilit"}
{"subject": "math:Monster_vertex_algebra", "predicate": "proves", "object": "the monster vertex algebra (or moonshine module) is a vertex algebra acted on by the monster group t"}
{"subject": "math:Arne_Meurman", "predicate": "proves", "object": "arne meurman (born 6 april 1956) is a swedish mathematician working on finite groups and vertex oper"}
{"subject": "math:Robert_Griess", "predicate": "proves", "object": "robert louis griess, jr. (born 1945, savannah, georgia) is a mathematician working on finite simple "}
{"subject": "math:Vanadium(III)_bromide", "predicate": "proves", "object": "vanadium(iii) bromide, also known as vanadium tribromide, describes the inorganic compounds with the"}
{"subject": "math:Vanadium(II)_chloride", "predicate": "proves", "object": "vanadium(ii) chloride is the inorganic compound with the formula vcl2, and is the most reduced vanad"}
{"subject": "math:Constructive_set_theory", "predicate": "proves", "object": "axiomatic constructive set theory is an approach to mathematical constructivism following the progra"}
{"subject": "math:Absolute_value_(algebra)", "predicate": "proves", "object": "in algebra, an absolute value (also called a valuation, magnitude, or norm, although \"norm\" usually "}
{"subject": "math:Calcium_lactate_gluconate", "predicate": "proves", "object": "calcium lactate gluconate, also known as glocal, is a soluble salt of calcium, lactic acid and gluco"}
{"subject": "math:2-Nitrodiphenylamine", "predicate": "proves", "object": "2-nitrodiphenylamine, also called ndpa, 2-ndpa, 2no2dpa, sudan yellow 1339, c.i. 10335, ci 10335, ph"}
{"subject": "math:Vanadium(IV)_oxide", "predicate": "proves", "object": "vanadium(iv) oxide or vanadium dioxide is an inorganic compound with the formula vo2. it is a dark b"}
{"subject": "math:Vanadium(III)_oxide", "predicate": "proves", "object": "vanadium(iii) oxide is the inorganic compound with the formula v2o3.  it is a black solid prepared b"}
{"subject": "math:Vanadium(II)_oxide", "predicate": "proves", "object": "vanadium(ii) oxide is the inorganic compound with the idealized formula vo. it is one of the several"}
{"subject": "math:Vanadyl_sulfate", "predicate": "proves", "object": "vanadyl(iv) sulfate describes a collection of inorganic compounds of vanadium with the formula, voso"}
{"subject": "math:Thiago_Medeiros", "predicate": "proves", "object": "thiago cavalcante de medeiros (born july 24, 1982 in s\u00e3o paulo) is a retired brazilian racing driver"}
{"subject": "math:Xenic_acid", "predicate": "proves", "object": "xenic acid is a proposed noble gas compound with the chemical formula h2xeo4 or xeo2(oh)2. it has no"}
{"subject": "math:Tetramethylethylenediamine", "predicate": "proves", "object": "tetramethylethylenediamine (tmeda or temed) is a chemical compound with the formula (ch3)2nch2ch2n(c"}
{"subject": "math:Ashes_and_Diamonds", "predicate": "proves", "object": "ashes and diamonds (polish original: popi\u00f3\u0142 i diament, literally: ash and diamond) is a 1948 novel b"}
{"subject": "math:Mercury(II)_iodide", "predicate": "proves", "object": "mercury(ii) iodide is a chemical compound with the molecular formula hgi2. it is typically produced "}
{"subject": "math:Mercury(II)_acetate", "predicate": "proves", "object": "mercury(ii) acetate, also known as mercuric acetate is the chemical compound with the formula hg(o2c"}
{"subject": "math:Indium(III)_chloride", "predicate": "proves", "object": "indium(iii) chloride is the chemical compound with the formula incl3 which forms a tetrahydrate. thi"}
{"subject": "math:Potassium_persulfate", "predicate": "proves", "object": "potassium persulfate is the inorganic compound with the formula k2s2o8. also known as potassium pero"}
{"subject": "math:Potassium_thiocyanate", "predicate": "proves", "object": "potassium thiocyanate is the chemical compound with the molecular formula kscn.  it is an important "}
{"subject": "math:Lithium_metaborate", "predicate": "proves", "object": "lithium metaborate is a chemical compound of lithium, boron, and oxygen with elemental formula .  it"}
{"subject": "math:Sodium_cyanoborohydride", "predicate": "proves", "object": "sodium cyanoborohydride is the chemical compound with the formula . it is a colourless salt, but com"}
{"subject": "math:Sodium_persulfate", "predicate": "proves", "object": "sodium persulfate is the inorganic compound with the formula na2s2o8.  it is the sodium salt of pero"}
{"subject": "math:Sodium_thiocyanate", "predicate": "proves", "object": "sodium thiocyanate (sometimes called sodium sulphocyanide) is the chemical compound with the formula"}
{"subject": "math:Nickel(II)_carbonate", "predicate": "proves", "object": "nickel(ii) carbonate describes one or a mixture of inorganic compounds containing nickel and carbona"}
{"subject": "math:Nickel(II)_oxide", "predicate": "proves", "object": "nickel(ii) oxide is the chemical compound with the formula . it is the principal oxide of nickel. it"}
{"subject": "math:Lead(II)_chromate", "predicate": "proves", "object": "lead(ii) chromate is the inorganic compound with the formula (pbcro4). it has a vivid yellow color a"}
{"subject": "math:Zirconium(II)_hydride", "predicate": "proves", "object": "zirconium(ii) hydride is a molecular chemical compound with the chemical formula . it is a grey crys"}
{"subject": "math:Zirconium(IV)_bromide", "predicate": "proves", "object": "zirconium(iv) bromide is the inorganic compound with the formula zrbr4. this colourless solid is the"}
{"subject": "math:Zirconium_tetrafluoride", "predicate": "proves", "object": "zirconium(iv) fluoride describes members of a family inorganic compounds with the formula (zrf4(h2o)"}
{"subject": "math:Zirconium(IV)_iodide", "predicate": "proves", "object": "zirconium(iv) iodide is the chemical compound with the formula zri4. it is the most readily availabl"}
{"subject": "math:3-Methylheptane", "predicate": "proves", "object": "3-methylheptane is a branched alkane isomeric to octane. its structural formula is ch3ch2ch(ch3)ch2c"}
{"subject": "math:Zinc_cyanide", "predicate": "proves", "object": "zinc cyanide is the inorganic compound with the formula zn(cn)2. it is a white solid that is used ma"}
{"subject": "math:Zinc_fluoride", "predicate": "proves", "object": "zinc fluoride is an inorganic chemical compound with the chemical formula . it is encountered as the"}
{"subject": "math:Zinc_nitrate", "predicate": "proves", "object": "zinc nitrate is an inorganic chemical compound with the formula . this colorless, crystalline salt i"}
{"subject": "math:Potassium_sulfide", "predicate": "proves", "object": "potassium sulfide is an inorganic compound with the formula k2s.  the colourless solid is rarely enc"}
{"subject": "math:Log_Cabin_syrup", "predicate": "proves", "object": "log cabin is an american brand of pre-packaged table syrups owned by conagra brands.\n\nbrand history\n"}
{"subject": "math:Philip_F._Deaver", "predicate": "proves", "object": "philip f. deaver (1946\u20132018) was an american writer and poet from tuscola, illinois. his work appear"}
{"subject": "math:Glossary_of_entomology_terms", "predicate": "proves", "object": "this glossary of entomology describes terms used in the formal study of insect species by entomologi"}
{"subject": "math:Geox", "predicate": "proves", "object": "geox is an italian brand of shoe and clothing manufactured with waterproof/breathable fabrics.\n\nhist"}
{"subject": "math:Lattice_Boltzmann_methods", "predicate": "proves", "object": "the lattice boltzmann methods (lbm), originated from the lattice gas automata (lga) method (hardy-po"}
{"subject": "math:Metacompact_space", "predicate": "proves", "object": "in the mathematical field of general topology, a topological space is said to be metacompact if ever"}
{"subject": "math:Orthocompact_space", "predicate": "proves", "object": "in mathematics, in the field of general topology, a topological space is said to be orthocompact if "}
{"subject": "math:Marco_Werner", "predicate": "proves", "object": "marco werner (born april 27, 1966 in dortmund) is a professional racer from germany. he was the eigh"}
{"subject": "math:Grandisol", "predicate": "proves", "object": "grandisol is a natural organic compound with the molecular formula c10h18o. it is a monoterpene cont"}
{"subject": "math:\u00c9ric_H\u00e9lary", "predicate": "proves", "object": "\u00e9ric h\u00e9lary (born 10 august 1966) is a professional racing driver from paris. his career has encompa"}
{"subject": "math:Supercompact_space", "predicate": "proves", "object": "in mathematics, in the field of topology, a topological space is called supercompact if there is a s"}
{"subject": "math:Siegel\u2013Walfisz_theorem", "predicate": "proves", "object": "in analytic number theory, the siegel\u2013walfisz theorem was obtained by arnold walfisz as an applicati"}
{"subject": "math:Pseudonormal_space", "predicate": "proves", "object": "in mathematics, in the field of topology, a topological space is said to be pseudonormal if given tw"}
{"subject": "math:Collectionwise_Hausdorff_space", "predicate": "proves", "object": "in mathematics, in the field of topology, a topological space  is said to be collectionwise hausdorf"}
{"subject": "math:John_Nielsen_(racing_driver)", "predicate": "proves", "object": "john nielsen (born 7 february 1956) is a danish former racing driver. he won the 24 hours of le mans"}
{"subject": "math:Volterra_space", "predicate": "proves", "object": "in mathematics, in the field of topology, a topological space is said to be a volterra space if any "}
{"subject": "math:A-paracompact_space", "predicate": "proves", "object": "in mathematics, in the field of topology, a topological space is said to be a-paracompact if every o"}
{"subject": "math:Perfect_set", "predicate": "proves", "object": "in general topology, a subset of a topological space is perfect if it is closed and has no isolated "}
{"subject": "math:Bombieri's_theorem", "predicate": "proves", "object": "bombieri's theorem may refer to:\n\nbombieri\u2013vinogradov theorem, a result in analytic number theory\nsc"}
{"subject": "math:Door_space", "predicate": "proves", "object": "in mathematics, specifically in the field of topology, a topological space is said to be a door spac"}
{"subject": "math:Pseudocompact_space", "predicate": "proves", "object": "in mathematics, in the field of topology, a topological space is said to be pseudocompact if its ima"}
{"subject": "math:Realcompact_space", "predicate": "proves", "object": "in mathematics, in the field of topology, a topological space is said to be realcompact if it is com"}
{"subject": "math:Locally_Hausdorff_space", "predicate": "proves", "object": "in mathematics, in the field of topology, a topological space is said to be locally hausdorff if eve"}
{"subject": "math:Mesocompact_space", "predicate": "proves", "object": "in mathematics, in the field of general topology, a topological space is said to be mesocompact if e"}
{"subject": "math:Shrinking_space", "predicate": "proves", "object": "in mathematics, in the field of topology, a topological space is said to be a shrinking space if eve"}
{"subject": "math:Machinist_calculator", "predicate": "proves", "object": "a machinist calculator is a hand-held calculator programmed with built-in formulas making it easy an"}
{"subject": "math:Hemicompact_space", "predicate": "proves", "object": "in mathematics, in the field of topology, a topological space is said to be hemicompact if it has a "}
{"subject": "math:Ugly_duckling_theorem", "predicate": "proves", "object": "the ugly duckling theorem is an argument showing that classification is not really possible without "}
{"subject": "math:Dice_notation", "predicate": "proves", "object": "dice notation (also known as dice algebra, common dice notation, rpg dice notation, and several othe"}
{"subject": "math:Black_hole_(networking)", "predicate": "proves", "object": "in networking, a black hole, also known as a block hole, refers to a place in the network where inco"}
{"subject": "math:Yttrium(III)_fluoride", "predicate": "proves", "object": "yttrium(iii) fluoride  is an inorganic chemical compound with the chemical formula yf3. it is not kn"}
{"subject": "math:Yttrium(III)_bromide", "predicate": "proves", "object": "yttrium(iii) bromide is an inorganic compound with the chemical formula ybr3. it is a white solid. a"}
{"subject": "math:Tungsten_disulfide", "predicate": "proves", "object": "tungsten disulfide is an inorganic chemical compound composed of tungsten and sulfur with the chemic"}
{"subject": "math:Vanadium(III)_fluoride", "predicate": "proves", "object": "vanadium(iii) fluoride is the chemical compound with the formula vf3. this yellow-green, refractory "}
{"subject": "math:Vanadium(V)_oxytrifluoride", "predicate": "proves", "object": "vanadium(v) oxytrifluoride is a chemical compound with the formula vof3.  it is one of several vanad"}
{"subject": "math:Rearrangement", "predicate": "proves", "object": "rearrangement may refer to:\n\nchemistry \n rearrangement reaction\n\nmathematics \n rearrangement inequal"}
{"subject": "math:Rheniite", "predicate": "proves", "object": "rheniite is a very rare rhenium sulfide mineral with the chemical formula (). it forms metallic, sil"}
{"subject": "math:Titanium(II)_chloride", "predicate": "proves", "object": "titanium(ii) chloride is the chemical compound with the formula ticl2. the black solid has been stud"}
{"subject": "math:Fracton", "predicate": "proves", "object": "a fracton is a collective quantized vibration on a substrate with a fractal structure.\n\nfractons are"}
{"subject": "math:National_Reconstruction_Bureau", "predicate": "proves", "object": "the national reconstruction bureau (reporting name: nrb) of pakistan was an independent and constitu"}
{"subject": "math:Stinespring_dilation_theorem", "predicate": "proves", "object": "in mathematics, stinespring's dilation theorem,  also called stinespring's factorization theorem, na"}
{"subject": "math:Fritz_Carlson", "predicate": "proves", "object": "fritz david carlson (23 july 1888 \u2013 28 november 1952) was a swedish mathematician. after the death o"}
{"subject": "math:Schoepite", "predicate": "proves", "object": "schoepite, empirical formula  (uo2)8o2(oh)12\u202212(h2o) is a rare alteration product of uraninite in hy"}
{"subject": "math:James_Stewart_(mathematician)", "predicate": "proves", "object": "james drewry stewart,  (march 29, 1941december 3, 2014) was a canadian mathematician, violinist, and"}
{"subject": "math:Drinker_paradox", "predicate": "proves", "object": "the drinker paradox (also known as the drinker's theorem, the drinker's principle, or the drinking p"}
{"subject": "math:Isodynamic_point", "predicate": "proves", "object": "in euclidean geometry, the isodynamic points of a triangle are points associated with the triangle, "}
{"subject": "math:Darwin_(unit)", "predicate": "proves", "object": "the darwin (d) is a unit of evolutionary change, defined by j. b. s. haldane in 1949.  one darwin is"}
{"subject": "math:Sundial_(disambiguation)", "predicate": "proves", "object": "a sundial is a timekeeping device.\n\nsundial or sun dial may also refer to:\n\nsundials\nanalemmatic sun"}
{"subject": "math:Lotus_88", "predicate": "proves", "object": "the lotus 88 is an innovative formula one car designed by colin chapman, peter wright, tony rudd and"}
{"subject": "math:Armageddon_Massive", "predicate": "proves", "object": "armageddon massive is the debut full-length album from californian ska band the dingees. the album's"}
{"subject": "math:Metatheorem", "predicate": "proves", "object": "in logic, a metatheorem is a statement about a formal system proven in a metalanguage. unlike theore"}
{"subject": "math:Weber's_theorem_(Algebraic_curves)", "predicate": "proves", "object": "in mathematics, weber's theorem, named after heinrich martin weber, is a result on algebraic curves."}
{"subject": "math:Literary_editor", "predicate": "proves", "object": "a literary editor is an editor in a newspaper, magazine or similar publication who deals with aspect"}
{"subject": "math:Ninian_Sanderson", "predicate": "proves", "object": "ninian sanderson (14 may 1925 \u2013 1 october 1985) was a scottish car dealer, sports car racing driver,"}
{"subject": "math:Davy_Jones_(racing_driver)", "predicate": "proves", "object": "davy jones (born june 1, 1964) is an american racing driver. he won the 1996 24 hours of le mans alo"}
{"subject": "math:Cadmium_iodide", "predicate": "proves", "object": "cadmium iodide is the inorganic compound with the formula cdi2.  it is a white hygroscopic solid.  i"}
{"subject": "math:Ajoite", "predicate": "proves", "object": "ajoite is a hydrated sodium potassium copper aluminium silicate hydroxide mineral. ajoite has the ch"}
{"subject": "math:Proving_a_negative", "predicate": "proves", "object": "proving a negative or negative proof may refer to:\n\nproving a negative, in the philosophic burden of"}
{"subject": "math:Eric_Lengyel", "predicate": "proves", "object": "eric lengyel is a computer scientist specializing in game engine development, computer graphics, and"}
{"subject": "math:Goursat's_lemma", "predicate": "proves", "object": "goursat's lemma, named after the french mathematician \u00e9douard goursat, is an algebraic theorem about"}
{"subject": "math:Maserati_250F", "predicate": "proves", "object": "the maserati 250f was a racing car made by maserati of italy used in '2.5 litre' formula one racing "}
{"subject": "math:Sascha_Maassen", "predicate": "proves", "object": "sascha maassen (born 28 september 1969 in aachen, germany) is a veteran sports car driver.\n\nearly ca"}
{"subject": "math:Kojic_acid", "predicate": "proves", "object": "kojic acid is an organic compound with the formula .  it is a derivative of 4-pyrone that functions "}
{"subject": "math:Conduritol", "predicate": "proves", "object": "conduritol or 1,2,3,4-cyclohexenetetrol is any of the organic compounds with chemical formula c6h10o"}
{"subject": "math:Fornacite", "predicate": "proves", "object": "fornacite is a rare lead, copper chromate arsenate hydroxide mineral with the formula: pb2cu(cro4)(a"}
{"subject": "math:Social_Choice_and_Individual_Values", "predicate": "proves", "object": "kenneth arrow's monograph  social choice and individual values (1951, 2nd ed., 1963, 3rd ed., 2012) "}
{"subject": "math:Constraint_algebra", "predicate": "proves", "object": "in theoretical physics, a constraint algebra is a linear space of all constraints and all of their p"}
{"subject": "math:Split-step_method", "predicate": "proves", "object": "in numerical analysis, the split-step (fourier) method is a pseudo-spectral numerical method used to"}
{"subject": "math:Vertical_tangent", "predicate": "proves", "object": "in mathematics, particularly calculus, a vertical tangent is a tangent line that is vertical. becaus"}
{"subject": "math:Allylamine", "predicate": "proves", "object": "allylamine is an organic compound with the formula c3h5nh2.  this colorless liquid is the simplest s"}
{"subject": "math:Sodium_methoxide", "predicate": "proves", "object": "sodium methoxide is the simplest sodium alkoxide.  with the formula , it is a white solid, which is "}
{"subject": "math:Brabham_BT44", "predicate": "proves", "object": "the brabham bt44 was a formula one racing car designed by gordon murray, brabham's chief designer.\n\n"}
{"subject": "math:Ferrari_312T", "predicate": "proves", "object": "the ferrari 312t was a ferrari formula one car design, based on the 312b3 from 1974. in various vers"}
{"subject": "math:Trichloroisocyanuric_acid", "predicate": "proves", "object": "trichloroisocyanuric acid is an organic compound with the formula (c3cl3n3o3).  it is used as an ind"}
{"subject": "math:Williams_FW14", "predicate": "proves", "object": "the williams fw14 is a formula one car designed by adrian newey, used by the williams team during th"}
{"subject": "math:Hereditary_ring", "predicate": "proves", "object": "in mathematics, especially in the area of abstract algebra known as module theory, a ring r is calle"}
{"subject": "math:Affiliated_operator", "predicate": "proves", "object": "in mathematics, affiliated operators were introduced by murray and von neumann in the theory of von "}
{"subject": "math:Mental_Vortex", "predicate": "proves", "object": "mental vortex is the fourth album by the swiss thrash metal band coroner, released on 12 august 1991"}
{"subject": "math:Ferrari_F2002", "predicate": "proves", "object": "the ferrari f2002 was a racing car used by scuderia ferrari marlboro as its entry for competition in"}
{"subject": "math:Commutation_(neurophysiology)", "predicate": "proves", "object": "in neurophysiology, commutation is the process by which the brain's neural circuits exhibit non-comm"}
{"subject": "math:2006_Spanish_Grand_Prix", "predicate": "proves", "object": "the 2006 spanish grand prix (officially the formula 1 gran premio telef\u00f3nica de espa\u00f1a 2006) was a f"}
{"subject": "math:Fej\u00e9r's_theorem", "predicate": "proves", "object": "in mathematics, fej\u00e9r's theorem, named after hungarian mathematician lip\u00f3t fej\u00e9r, states the followi"}
{"subject": "math:Discrete_Poisson_equation", "predicate": "proves", "object": "in mathematics, the discrete poisson equation is the finite difference analog of the poisson equatio"}
{"subject": "math:Satisfiability_modulo_theories", "predicate": "proves", "object": "in computer science and mathematical logic, satisfiability modulo theories (smt) is the problem of d"}
{"subject": "math:Code_(set_theory)", "predicate": "proves", "object": "in set theory, a code for a hereditarily countable set\n\nis a set\n\nsuch that there is an isomorphism "}
{"subject": "math:Nagata's_conjecture_on_curves", "predicate": "proves", "object": "in mathematics, the nagata conjecture on curves, named after masayoshi nagata, governs the minimal d"}
{"subject": "math:Desoxycorticosterone_pivalate", "predicate": "proves", "object": "deoxycorticosterone pivalate (docp), also known as desoxycorticosterone trimethyl acetate (doc-tma o"}
{"subject": "math:Desoxycorticosterone_acetate", "predicate": "proves", "object": "desoxycorticosterone acetate (also known as doca and 11-deoxycorticosterone 21-acetate and sold unde"}
{"subject": "math:Philipp_Uffenbach", "predicate": "proves", "object": "philipp uffenbach (15 january 1566 \u2013 6 april 1636) was a german painter and etcher. he was born in f"}
{"subject": "math:ISO_5776", "predicate": "proves", "object": "iso 5776, published by the international organization for standardization (iso), is an international"}
{"subject": "math:Sarcoglycan", "predicate": "proves", "object": "the sarcoglycans are a family of transmembrane proteins (\u03b1, \u03b2, \u03b3, \u03b4 or \u03b5) involved in the protein co"}
{"subject": "math:Pitch_Black_(band)", "predicate": "proves", "object": "pitch black is a new zealand electronica duo from auckland.\n\nhistory\nmike and paddy met in 1996. sin"}
{"subject": "math:Futureproof_(album)", "predicate": "proves", "object": "futureproof is the debut album released in 1998 by new zealand electronica duo, pitch black.\n\ntrack "}
{"subject": "math:Magical_formula", "predicate": "proves", "object": "in ceremonial magic, a magical formula or a word of power is a word that is believed to have specifi"}
{"subject": "math:Birch's_theorem", "predicate": "proves", "object": "in mathematics, birch's theorem, named for bryan john birch, is a statement about the representabili"}
{"subject": "math:Jean-Louis_Koszul", "predicate": "proves", "object": "jean-louis koszul (; january 3, 1921 \u2013 january 12, 2018) was a french mathematician, best known for "}
{"subject": "math:Dunce_hat_(topology)", "predicate": "proves", "object": "in topology, the dunce hat is a compact topological space formed by taking a solid triangle and glui"}
{"subject": "math:2006_Monaco_Grand_Prix", "predicate": "proves", "object": "the 2006 monaco grand prix (formally known as the formula 1 grand prix de monaco 2006) was a formula"}
{"subject": "math:Binary_silicon-hydrogen_compounds", "predicate": "proves", "object": "silanes are saturated chemical compounds with the empirical formula . they are hydrosilanes, a class"}
{"subject": "math:Peter_Dumbreck", "predicate": "proves", "object": "peter james dumbreck, nicknamed \"shunty\", \"dumbo\" (play on \"dumbreck\"), or by some, \"king peter\" (bo"}
{"subject": "math:Claudia_H\u00fcrtgen", "predicate": "proves", "object": "claudia h\u00fcrtgen (born 10 september 1971 in aachen) is a german racing driver.\n\nbiography\nh\u00fcrtgen sta"}
{"subject": "math:Nicolas_Minassian", "predicate": "proves", "object": "nicolas minassian (born 28 february 1973) is a french professional racing driver of armenian descent"}
{"subject": "math:Pierre_Kaffer", "predicate": "proves", "object": "pierre kaffer (born 7 november 1976 in bad neuenahr-ahrweiler, rhineland-palatinate) is a race car d"}
{"subject": "math:Valle_M\u00e4kel\u00e4", "predicate": "proves", "object": "valle m\u00e4kel\u00e4 (born 2 february 1986, laitila, finland) is a finnish motor racing driver.\n\ncareer\nm\u00e4ke"}
{"subject": "math:Clipmap", "predicate": "proves", "object": "clipmapping is a method of clipping a mipmap to a subset of data pertinent to the geometry being dis"}
{"subject": "math:Thiocarbanilide", "predicate": "proves", "object": "thiocarbanilide is an organic chemical compound with the formula (c6h5nh)2cs.  this white solid is a"}
{"subject": "math:Brahmagupta's_identity", "predicate": "proves", "object": "in algebra, brahmagupta's identity says that, for given , the product of two numbers of the form  is"}
{"subject": "math:Telegrapher's_equations", "predicate": "proves", "object": "the telegrapher's equations (or just telegraph equations) are a set of two coupled, linear equations"}
{"subject": "math:Portable,_Extensible_Toolkit_for_Scientific_Comput", "predicate": "proves", "object": "the portable, extensible toolkit for scientific computation (petsc, pronounced pet-see; the s is sil"}
{"subject": "math:Tibolone", "predicate": "proves", "object": "tibolone, sold under the brand name livial among others, is a medication which is used in menopausal"}
{"subject": "math:Tetramethylammonium_hydroxide", "predicate": "proves", "object": "tetramethylammonium hydroxide (tmah or tmaoh) is a quaternary ammonium salt with molecular formula n"}
{"subject": "math:ADHM_construction", "predicate": "proves", "object": "in mathematical physics and gauge theory, the adhm construction or monad construction is the constru"}
{"subject": "math:Marcel_Tiemann", "predicate": "proves", "object": "marcel tiemann (born 19 march 1974) is a former racing driver from germany. he is best known for bei"}
{"subject": "math:Franz_Konrad_(racing_driver)", "predicate": "proves", "object": "franz konrad (born 8 june 1951 in graz, austria) is a former race driver and founder of konrad motor"}
{"subject": "math:Michel_Fert\u00e9", "predicate": "proves", "object": "michel fert\u00e9  (8 december 1958 \u2013 4 january 2023) was a french professional racing driver. he was the"}
{"subject": "math:Alain_Fert\u00e9", "predicate": "proves", "object": "alain serge fert\u00e9 (born 8 october 1955 in falaise, calvados) is a french professional racing driver."}
{"subject": "math:Choi's_theorem_on_completely_positive_maps", "predicate": "proves", "object": "in mathematics, choi's theorem on completely positive maps is a result that classifies completely po"}
{"subject": "math:Vitelline_membrane", "predicate": "proves", "object": "the vitelline membrane or vitelline envelope is a structure surrounding the outer surface of the pla"}
{"subject": "math:Van_Diemen", "predicate": "proves", "object": "van diemen international, ltd. was a british race car manufacturer based in snetterton, norfolk, uni"}
{"subject": "math:18-electron_rule", "predicate": "proves", "object": "the 18-electron rule is a chemical rule of thumb used primarily for predicting and rationalizing for"}
{"subject": "math:Fine_topology_(potential_theory)", "predicate": "proves", "object": "in mathematics, in the field of potential theory, the fine topology is a natural topology for settin"}
{"subject": "math:Butson-type_Hadamard_matrix", "predicate": "proves", "object": "in mathematics, a complex hadamard matrix h of size n with all its columns (rows) mutually orthogona"}
{"subject": "math:Naimark's_dilation_theorem", "predicate": "proves", "object": "in operator theory, naimark's dilation theorem is a result that characterizes positive operator valu"}
{"subject": "math:Leray_spectral_sequence", "predicate": "proves", "object": "in mathematics, the leray spectral sequence was a pioneering example in homological algebra, introdu"}
{"subject": "math:Piston_motion_equations", "predicate": "proves", "object": "the reciprocating motion of a non-offset piston connected to a rotating crank through a connecting r"}
{"subject": "math:Margulis_lemma", "predicate": "proves", "object": "in differential geometry, the margulis lemma (named after grigory margulis) is a result about discre"}
{"subject": "math:Lotus_18", "predicate": "proves", "object": "the lotus 18 was a race car designed by colin chapman for use by lotus in formula junior, formula tw"}
{"subject": "math:Blum", "predicate": "proves", "object": "blum may refer to:\n\nplaces\n kfar blum, a kibbutz in israel\n\nunited states\n blum, texas, a town\n blum"}
{"subject": "math:Alex_Lloyd_(racing_driver)", "predicate": "proves", "object": "alex stewart lloyd (born december 28, 1984) is a former british motor racing driver. he was a close "}
{"subject": "math:Lotus_63", "predicate": "proves", "object": "the lotus 63 was an experimental formula one car using four-wheel drive, designed by colin chapman a"}
{"subject": "math:Long_Walk_Home:_Music_from_the_Rabbit-Proof_Fence", "predicate": "proves", "object": "long walk home: music from the rabbit-proof fence, released in june 2002, is the fourth soundtrack a"}
{"subject": "math:Darboux_derivative", "predicate": "proves", "object": "the darboux derivative of a map between a manifold and a lie group is a variant of the standard deri"}
{"subject": "math:2-Methoxyethanol", "predicate": "proves", "object": "2-methoxyethanol, or methyl cellosolve, is an organic compound with formula  that is used mainly as "}
{"subject": "math:Ergun_equation", "predicate": "proves", "object": "the ergun equation, derived by the turkish chemical engineer sabri ergun in 1952, expresses the fric"}
{"subject": "math:McLaren_MP4/6", "predicate": "proves", "object": "the mclaren mp4/6 is a successful formula one racing car designed by mclaren's neil oatley, matthew "}
{"subject": "math:Michael_Langston", "predicate": "proves", "object": "michael allen langston is a professor of electrical engineering and computer science at the universi"}
{"subject": "math:Selenium_oxydichloride", "predicate": "proves", "object": "selenium oxydichloride is the inorganic compound with the formula seocl2. it is a colorless liquid. "}
{"subject": "math:Cayley's_nodal_cubic_surface", "predicate": "proves", "object": "in algebraic geometry, the cayley surface, named after arthur cayley, is a cubic nodal surface in 3-"}
{"subject": "math:Butterfly_curve_(algebraic)", "predicate": "proves", "object": "in mathematics, the algebraic butterfly curve is a plane algebraic curve of degree six, given by the"}
{"subject": "math:Butterfly_curve", "predicate": "proves", "object": "butterfly curve may refer to:\n\nbutterfly curve (algebraic), a curve defined by a trinomial\nbutterfly"}
{"subject": "math:Ministry_of_Foreign_Affairs_(Chile)", "predicate": "proves", "object": "the ministry of foreign affairs of chile () is the cabinet-level administrative office in charge of "}
{"subject": "math:Walter_Brun", "predicate": "proves", "object": "walter brun (born 20 october 1942) is a swiss former racing driver and founder of brun motorsport. h"}
{"subject": "math:Bitangents_of_a_quartic", "predicate": "proves", "object": "in the theory of algebraic plane curves, a general quartic plane curve has 28 bitangent lines, lines"}
{"subject": "math:Formula_SAE_Australasia", "predicate": "proves", "object": "formula sae australasia (fsae-a) is the australian event of the us-based formula sae and has been ru"}
{"subject": "math:Rubinho", "predicate": "proves", "object": "rubinho may refer to:\nrubens barrichello (born 1972), nicknamed rubinho, brazilian formula one racin"}
{"subject": "math:Concentration_cell", "predicate": "proves", "object": "in battery technology, a concentration cell is a limited form of a galvanic cell that has two equiva"}
{"subject": "math:Conjugate_coding", "predicate": "proves", "object": "conjugate coding is a cryptographic tool, introduced by stephen wiesner in the late 1960s. it is par"}
{"subject": "math:P-Toluenesulfonic_acid", "predicate": "proves", "object": "p-toluenesulfonic acid (ptsa, ptsa, or ptsoh) or tosylic acid (tsoh) is an organic compound with the"}
{"subject": "math:Lindy_Fralin", "predicate": "proves", "object": "lindy fralin is a us manufacturer of  \"boutique\" guitar pickups based in richmond, virginia. he got "}
{"subject": "math:DGLAP_evolution_equations", "predicate": "proves", "object": "the dokshitzer\u2013gribov\u2013lipatov\u2013altarelli\u2013parisi (dglap) evolution equations are equations in qcd desc"}
{"subject": "math:Harnack's_curve_theorem", "predicate": "proves", "object": "in real algebraic geometry, harnack's curve theorem, named after axel harnack, gives the possible nu"}
{"subject": "math:Lemniscate", "predicate": "proves", "object": "in algebraic geometry, a lemniscate is any of several figure-eight or -shaped curves. the word comes"}
{"subject": "math:Phosphine_oxide", "predicate": "proves", "object": "phosphine oxides are phosphorus compounds with the formula opx3. when x = alkyl or aryl, these are o"}
{"subject": "math:Lemniscate_of_Gerono", "predicate": "proves", "object": "in algebraic geometry, the lemniscate of gerono, or lemniscate of huygens, or figure-eight curve, is"}
{"subject": "math:Immunoglobulin_domain", "predicate": "proves", "object": "the immunoglobulin domain, also known as the immunoglobulin fold, is a type of protein domain that c"}
{"subject": "math:McLaren_MP4/2", "predicate": "proves", "object": "the mclaren mp4/2 was a formula one car produced by mclaren for the 1984 season. an iteration of it,"}
{"subject": "math:Ruby_(hardware_description_language)", "predicate": "proves", "object": "ruby is a hardware description language designed by  in 1986 intended to facilitate the notation and"}
{"subject": "math:Williams_FW07", "predicate": "proves", "object": "the williams fw07 was a ground effect formula one racing car designed by patrick head, frank dernie,"}
{"subject": "math:Craps_principle", "predicate": "proves", "object": "in probability theory, the craps principle is a theorem about event probabilities under repeated iid"}
{"subject": "math:Minimig", "predicate": "proves", "object": "minimig (short for mini amiga) is an open source re-implementation of an amiga 500 using a field-pro"}
{"subject": "math:Slutsky's_theorem", "predicate": "proves", "object": "in probability theory, slutsky\u2019s theorem extends some properties of algebraic operations on converge"}
{"subject": "math:Index_of_alcohol-related_articles", "predicate": "proves", "object": "alcohol is any organic compound in which a hydroxyl functional group (-oh) is bound to a carbon atom"}
{"subject": "math:Allison_Shreeve", "predicate": "proves", "object": "allison shreeve (born 5 february 1982) is an australian athlete who was the pwa world tour champion "}
{"subject": "math:Williams_FW11", "predicate": "proves", "object": "the williams fw11 was a formula one car designed by frank dernie as a serious challenger to mclaren "}
{"subject": "math:Chromocene", "predicate": "proves", "object": "chromocene is the organochromium compound with the formula [cr(c5h5)2]. like structurally related me"}
{"subject": "math:Brabham_BT49", "predicate": "proves", "object": "the brabham bt49  is a formula one racing car designed by south african gordon murray for the britis"}
{"subject": "math:Jaroslav_Jani\u0161", "predicate": "proves", "object": "jaroslav \"jarek\" jani\u0161 (born 8 july 1983) is a czech auto racing driver. in 2006 he is racing in the"}
{"subject": "math:Ferrari_Tipo_500", "predicate": "proves", "object": "the ferrari 500 was a formula 2 racing car designed by aurelio lampredi and used by ferrari in  and "}
{"subject": "math:1989_Indianapolis_500", "predicate": "proves", "object": "the 73rd indianapolis 500 was held at the indianapolis motor speedway in speedway, indiana on sunday"}
{"subject": "math:Polynomial_lemniscate", "predicate": "proves", "object": "in mathematics, a polynomial lemniscate or polynomial level curve is a plane algebraic curve of degr"}
{"subject": "math:Walter_Kaufmann_(physicist)", "predicate": "proves", "object": "walter kaufmann (june 5, 1871 \u2013 january 1, 1947) was a german physicist. he is best known for the fi"}
{"subject": "math:Prison_Break:_Proof_of_Innocence", "predicate": "proves", "object": "prison break: proof of innocence is a low-budget spin-off series of the american television series, "}
{"subject": "math:Loup_Verlet", "predicate": "proves", "object": "loup verlet (; 24 may 1931 \u2013 13 june 2019) was a french physicist who pioneered the computer simulat"}
{"subject": "math:Cap_product", "predicate": "proves", "object": "in algebraic topology the cap product is a method of adjoining a chain of degree p with a cochain of"}
{"subject": "math:Uniqueness_theorem_for_Poisson's_equation", "predicate": "proves", "object": "the uniqueness theorem for poisson's equation states that, for a large class of boundary conditions,"}
{"subject": "math:Evenkite", "predicate": "proves", "object": "evenkite is a rare hydrocarbon mineral with formula c24h50; specifically, h3c\u2013(ch2)22\u2013ch3, the alkan"}
{"subject": "math:Single_Cell_Orchestra_(album)", "predicate": "proves", "object": "single cell orchestra is the self-titled second album of single cell orchestra released in 1996.\n\ntr"}
{"subject": "math:Vinylsilane", "predicate": "proves", "object": "vinylsilane refers to an organosilicon compound with chemical formula ch2=chsih3. it is a derivative"}
{"subject": "math:Asphalt_shingle", "predicate": "proves", "object": "an asphalt shingle is a type of wall or roof shingle that uses asphalt for waterproofing. it is one "}
{"subject": "math:Variable_geometry", "predicate": "proves", "object": "variable geometry may refer to:\n\nvariable-geometry turbocharger\nvariable geometry turbomachine\nvaria"}
{"subject": "math:Water_(disambiguation)", "predicate": "proves", "object": "water is a chemical substance with the formula h2o.\n\na detailed description of the physical and chem"}
{"subject": "math:T60", "predicate": "proves", "object": "t60 or t-60 may refer to:\n\nautomobiles \n berkeley t60, a british three-wheel microcar\n cooper t60, a"}
{"subject": "math:Zeise's_salt", "predicate": "proves", "object": "zeise's salt, potassium trichloro(ethylene)platinate(ii) hydrate, is the chemical compound with the "}
{"subject": "math:Ahuna_Vairya", "predicate": "proves", "object": "ahuna vairya (avestan: \ud802\udf00\ud802\udf35\ud802\udf0e\ud802\udf25\ud802\udf00 \ud802\udf2c\ud802\udf00\ud802\udf0c\ud802\udf2d\ud802\udf0c\ud802\udf0c\ud802\udf00) is the first of zoroastrianism's four gathic avestan formulas."}
{"subject": "math:Multiscale_motion_mapping", "predicate": "proves", "object": "multiscale motion mapping is a method of image analysis of the heart. the analyzation relies on a co"}
{"subject": "math:Classical_modular_curve", "predicate": "proves", "object": "in number theory, the classical modular curve is an irreducible plane algebraic curve given by an eq"}
{"subject": "math:Frey_curve", "predicate": "proves", "object": "in mathematics, a frey curve or frey\u2013hellegouarch curve is the elliptic curve \n\nassociated with a (h"}
{"subject": "math:Cyclododecatriene", "predicate": "proves", "object": "cyclododecatrienes are cyclic trienes with the formula c12h18. four isomers are known for 1,5,9-cycl"}
{"subject": "math:Holly_Samos", "predicate": "proves", "object": "holly samos (born 23 december 1970 in guildford, surrey) is a radio broadcaster. a former member of "}
{"subject": "math:Electromagnetic_field_solver", "predicate": "proves", "object": "electromagnetic field solvers (or sometimes just field solvers) are specialized programs that solve "}
{"subject": "math:Fourier\u2013Bessel_series", "predicate": "proves", "object": "in mathematics, fourier\u2013bessel series is a particular kind of generalized fourier series (an infinit"}
{"subject": "math:Pucker", "predicate": "proves", "object": "pucker is a line of fruit-flavored liqueurs made by the dekuyper company. by volume it is 15% alcoho"}
{"subject": "math:Diglyme", "predicate": "proves", "object": "diglyme, or bis(2-methoxyethyl) ether, is an organic compound with the chemical formula . it is a co"}
{"subject": "math:Information_algebra", "predicate": "proves", "object": "the term \"information algebra\" refers to mathematical techniques of information processing. classica"}
{"subject": "math:Calabi_conjecture", "predicate": "proves", "object": "in the mathematical field of differential geometry, the calabi conjecture was a conjecture about the"}
{"subject": "math:Paul_Warwick_(racing_driver)", "predicate": "proves", "object": "paul jason warwick  (29 january 1969 \u2013 21 july 1991) was a british racing driver.\n\ncareer \npaul warw"}
{"subject": "math:Aluminium_indium_arsenide", "predicate": "proves", "object": "aluminium indium arsenide, also indium aluminium arsenide or alinas (alxin1\u2212xas), is a semiconductor"}
{"subject": "math:Franco_Cortese", "predicate": "proves", "object": "franco cortese (10 february 1903 in oggebbio, piedmont \u2013 13 november 1986 in milan) was an italian r"}
{"subject": "math:Cauchy's_functional_equation", "predicate": "proves", "object": "cauchy's functional equation is the functional equation:\n\na function  that solves this equation is c"}
{"subject": "math:Higher_category_theory", "predicate": "proves", "object": "in mathematics, higher category theory is the part of category theory at a higher order, which means"}
{"subject": "math:Theorem_stencil", "predicate": "proves", "object": "theorem stencil, sometimes also called theorem painting or velvet painting, is the art of making ste"}
{"subject": "math:Lippmann", "predicate": "proves", "object": "lippmann is a german surname. notable people with the surname include:\n\n alexandre lippmann (1881\u201319"}
{"subject": "math:Edge_computing", "predicate": "proves", "object": "edge computing is a distributed computing paradigm that brings computation and data storage closer t"}
{"subject": "math:Jordan's_theorem", "predicate": "proves", "object": "there are multiple theorems named after the french mathematician camille jordan:\n\nthe jordan curve t"}
{"subject": "math:Fuero_Juzgo", "predicate": "proves", "object": "the fuero juzgo () was a codex of spanish laws enacted in castile in 1241 by fernando iii. it is ess"}
{"subject": "math:Generalizations_of_Pauli_matrices", "predicate": "proves", "object": "in mathematics and physics, in particular quantum information, the term generalized pauli matrices r"}
{"subject": "math:Exceptional_object", "predicate": "proves", "object": "many branches of mathematics study objects of a given type and prove a classification theorem. a com"}
{"subject": "math:Air_Intelligence_Group", "predicate": "proves", "object": "the israeli air intelligence group (; also known as lamdan, its hebrew acronym) is a unit of the isr"}
{"subject": "math:Deane_Montgomery", "predicate": "proves", "object": "deane montgomery (september 2, 1909 \u2013 march 15, 1992) was an american mathematician specializing in "}
{"subject": "math:Bertrand's_theorem", "predicate": "proves", "object": "in classical mechanics, bertrand's theorem states that among central-force potentials with bound orb"}
{"subject": "math:Pan_Chengdong", "predicate": "proves", "object": "pan chengdong (; 26 may 1934 \u2013 27 december 1997) was a chinese mathematician who made numerous contr"}
{"subject": "math:Potassium_adipate", "predicate": "proves", "object": "potassium adipate is a compound with formula k2c6h8o4. it is a potassium salt and common source ingr"}
{"subject": "math:Sodium_adipate", "predicate": "proves", "object": "sodium adipate is a compound with formula na2c6h8o4. it is the sodium salt of adipic acid.\n\nas a foo"}
{"subject": "math:Fulton\u2013Hansen_connectedness_theorem", "predicate": "proves", "object": "in mathematics, the fulton\u2013hansen connectedness theorem is a result from intersection theory in alge"}
{"subject": "math:Victor_Buchstaber", "predicate": "proves", "object": "victor matveevich buchstaber (, born 1 april 1943, tashkent, soviet union) is a soviet and russian m"}
{"subject": "math:Brown_powder", "predicate": "proves", "object": "brown powder or prismatic powder, sometimes referred as \"cocoa powder\" due to its color, was a prope"}
{"subject": "math:Schwartz's_reagent", "predicate": "proves", "object": "schwartz's reagent is the common name for the organozirconium compound with the formula (c5h5)2zrhcl"}
{"subject": "math:Ramberg\u2013Osgood_relationship", "predicate": "proves", "object": "the ramberg\u2013osgood equation was created to describe the non linear relationship between stress and s"}
{"subject": "math:Koszul\u2013Tate_resolution", "predicate": "proves", "object": "in mathematics, a koszul\u2013tate resolution or koszul\u2013tate complex of the quotient ring r/m is a projec"}
{"subject": "math:Gallium(III)_iodide", "predicate": "proves", "object": "gallium(iii) iodide  is the inorganic compound with the formula gai3.  a yellow hygroscopic solid, i"}
{"subject": "math:Gallium(III)_oxide", "predicate": "proves", "object": "gallium(iii) oxide is an inorganic compound and ultra-wide-bandgap semiconductor with the formula ga"}
{"subject": "math:Gadolinium(III)_oxide", "predicate": "proves", "object": "gadolinium(iii) oxide (archaically gadolinia) is an inorganic compound with the formula gd2o3. it is"}
{"subject": "math:Hafnium(IV)_oxide", "predicate": "proves", "object": "hafnium(iv) oxide is the inorganic compound with the formula . also known as hafnium dioxide or hafn"}
{"subject": "math:Indium(III)_sulfide", "predicate": "proves", "object": "indium(iii) sulfide (indium sesquisulfide, indium sulfide (2:3), indium (3+) sulfide) is the inorgan"}
{"subject": "math:Lanthanum(III)_chloride", "predicate": "proves", "object": "lanthanum chloride is the inorganic compound with the formula lacl3. it is a common salt of lanthanu"}
{"subject": "math:Lead(II)_fluoride", "predicate": "proves", "object": "lead(ii) fluoride is the inorganic compound with the formula pbf2.  it is a white solid.  the compou"}
{"subject": "math:Lithium_peroxide", "predicate": "proves", "object": "lithium peroxide is the inorganic compound with the formula li2o2. it is a white, nonhygroscopic sol"}
{"subject": "math:Manganese_diselenide", "predicate": "proves", "object": "manganese(ii) diselenide is the inorganic compound with the formula mnse2.  this rarely encountered "}
{"subject": "math:Barrelene", "predicate": "proves", "object": "barrelene is a bicyclic organic compound with chemical formula c8h8 and systematic name bicyclo[2.2."}
{"subject": "math:Coumalic_acid", "predicate": "proves", "object": "coumalic acid is an organic compound with the molecular formula c6h4o4.\nits melting point is around "}
{"subject": "math:Methyl_vinyl_ketone", "predicate": "proves", "object": "methyl vinyl ketone (mvk, iupac name: butenone) is the organic compound with the formula ch3c(o)ch=c"}
{"subject": "math:Palladium(II)_oxide", "predicate": "proves", "object": "palladium(ii) oxide is the inorganic compound of formula pdo. it is the only well characterised oxid"}
{"subject": "math:Platinum(IV)_chloride", "predicate": "proves", "object": "platinum(iv) chloride is the inorganic compound of platinum and chlorine with the empirical formula "}
{"subject": "math:Praseodymium(III)_sulfide", "predicate": "proves", "object": "praseodymium(iii) sulfide is an inorganic chemical compound with chemical formula pr2s3.\n\npreparatio"}
{"subject": "math:Rhenium(VII)_oxide", "predicate": "proves", "object": "rhenium(vii) oxide is the inorganic compound with the formula re2o7.  this yellowish solid is the an"}
{"subject": "math:Rhodium(III)_oxide", "predicate": "proves", "object": "rhodium(iii) oxide (or rhodium sesquioxide) is the inorganic compound with the formula rh2o3. it is "}
{"subject": "math:Ruthenium(IV)_oxide", "predicate": "proves", "object": "ruthenium(iv) oxide is the inorganic compound with the formula ruo2.  this black solid is the most c"}
{"subject": "math:Silicon_tetraiodide", "predicate": "proves", "object": "silicon tetraiodide is the chemical compound with the formula sii4.  it is a tetrahedral molecule wi"}
{"subject": "math:Silicon_disulfide", "predicate": "proves", "object": "silicon disulfide is the inorganic compound with the formula sis2.  like silicon dioxide, this mater"}
{"subject": "math:Sodium_hexafluoroaluminate", "predicate": "proves", "object": "sodium hexafluoroaluminate is an inorganic compound with formula na3alf6. this white solid, discover"}
{"subject": "math:Sodium_telluride", "predicate": "proves", "object": "sodium telluride is the chemical compound with the formula na2te.  this salt is the conjugate base o"}
{"subject": "math:Sodium_metatitanate", "predicate": "proves", "object": "sodium metatitanate is a chemical compound with the chemical formula na2tio3. this compound decompos"}
{"subject": "math:Strontium_nitrate", "predicate": "proves", "object": "strontium nitrate is an inorganic compound composed of the elements strontium, nitrogen and oxygen w"}
{"subject": "math:Dowling_geometry", "predicate": "proves", "object": "in combinatorial mathematics, a dowling geometry, named after thomas a. dowling, is a matroid associ"}
{"subject": "math:Halpin\u2013Tsai_model", "predicate": "proves", "object": "halpin\u2013tsai model is a mathematical model for the prediction of elasticity of composite material bas"}
{"subject": "math:Trioxidane", "predicate": "proves", "object": "trioxidane (systematically named dihydrogen trioxide,), also called hydrogen trioxide is an inorgani"}
{"subject": "math:Dante's_Equation", "predicate": "proves", "object": "dante's equation is a novel  by american writer jane jensen, published in 2003. it was nominated for"}
{"subject": "math:Boolean_delay_equation", "predicate": "proves", "object": "a boolean delay equation (bde) is an evolution rule for the state of dynamical variables whose value"}
{"subject": "math:Spiric_section", "predicate": "proves", "object": "in geometry, a spiric section, sometimes called a spiric of perseus, is a quartic plane curve define"}
{"subject": "math:WKB_(disambiguation)", "predicate": "proves", "object": "the wkb approximation is a method for solving equations in applied mathematics.\n\nwkb may also refer "}
{"subject": "math:Tantalum_pentafluoride", "predicate": "proves", "object": "tantalum(v) fluoride is the inorganic compound with the formula taf5.  it is one of the principal mo"}
{"subject": "math:Litespeed_(disambiguation)", "predicate": "proves", "object": "litespeed may refer to:\n\n litespeed, a bicycle manufacturer\n litespeed f3, a formula three racing te"}
{"subject": "math:Thallium(I)_bromide", "predicate": "proves", "object": "thallium(i) bromide is a chemical compound of thallium and bromine with a chemical formula tlbr. thi"}
{"subject": "math:Thallium(I)_chloride", "predicate": "proves", "object": "thallium(i) chloride, also known as thallous chloride, is a chemical compound with the formula tlcl."}
{"subject": "math:Thallium(I)_carbonate", "predicate": "proves", "object": "thallium(i) carbonate is the inorganic compound with the formula tl2co3. it is a white, water-solubl"}
{"subject": "math:Thallium(I)_iodide", "predicate": "proves", "object": "thallium(i) iodide is a chemical compound with the formula tli. it is unusual in being one of the fe"}
{"subject": "math:Tin_selenide", "predicate": "proves", "object": "tin selenide, also known as stannous selenide, is an inorganic compound with the formula snse. tin(i"}
{"subject": "math:Tin(IV)_sulfide", "predicate": "proves", "object": "tin(iv) sulfide is a compound with the formula . the compound crystallizes in the cadmium iodide mot"}
{"subject": "math:Titanium(III)_fluoride", "predicate": "proves", "object": "titanium(iii) fluoride is the inorganic compound with the formula tif3.   a violet, paramagnetic sol"}
{"subject": "math:Defective_matrix", "predicate": "proves", "object": "in linear algebra, a defective matrix is a square matrix that does not have a complete basis of eige"}
{"subject": "math:Chronology_of_ancient_Greek_mathematicians", "predicate": "proves", "object": "this is a chronology of ancient greek mathematicians.\n\nsee also\n\nreferences\n\nancient greek mathemati"}
{"subject": "math:Calcium_fumarate", "predicate": "proves", "object": "calcium fumarate is a compound with formula ca(c2h2(coo)2) or (ooc-ch=ch-coo)ca. it is a calcium sal"}
{"subject": "math:Potassium_fumarate", "predicate": "proves", "object": "potassium fumarate is a compound with formula k2c4h2o4. it is the potassium salt of fumaric acid.\n\ni"}
{"subject": "math:Sodium_fumarate", "predicate": "proves", "object": "sodium fumarate, also called disodium fumarate, is a compound with the molecular formula na2c4h2o4. "}
{"subject": "math:Zorn's_Law", "predicate": "proves", "object": "zorn's law is a maxim coined by chicago tribune columnist eric zorn as an english wikipedia prank. i"}
{"subject": "math:Monopotassium_glutamate", "predicate": "proves", "object": "monopotassium glutamate (mpg) is the compound with formula kc5h8no4. it is a potassium salt of gluta"}
{"subject": "math:Calcium_diglutamate", "predicate": "proves", "object": "calcium diglutamate, sometimes abbreviated cdg and also called calcium glutamate, is a compound with"}
{"subject": "math:Monoammonium_glutamate", "predicate": "proves", "object": "monoammonium glutamate is a compound with formula nh4c5h8no4. it is an ammonium acid salt of glutami"}
{"subject": "math:Magnesium_diglutamate", "predicate": "proves", "object": "magnesium diglutamate is a compound with formula mg(c5h8no4)2. it is a magnesium acid salt of glutam"}
{"subject": "math:McLaren_MP4/5", "predicate": "proves", "object": "the mclaren mp4/5, and its derived sister model, the mclaren mp4/5b, were highly successful formula "}
{"subject": "math:Frank_Sytner", "predicate": "proves", "object": "franklin goodman sytner (born 29 june 1944 in liverpool) is a british racing driver, a life member o"}
{"subject": "math:Fano_surface", "predicate": "proves", "object": "in algebraic geometry, a fano surface is a surface of general type (in particular, not a fano variet"}
{"subject": "math:Hexanitrohexaazaisowurtzitane", "predicate": "proves", "object": "hexanitrohexaazaisowurtzitane, also called hniw and cl-20, is a polycyclic nitroamine explosive with"}
{"subject": "math:9-Crown-3", "predicate": "proves", "object": "9-crown-3, also called 1,4,7-trioxonane or 1,4,7-trioxacyclononane is a crown ether with the formula"}
{"subject": "math:Dinosauromorpha", "predicate": "proves", "object": "dinosauromorpha is a clade of avemetatarsalian archosaurs (reptiles closer to birds than to crocodil"}
{"subject": "math:The_Algebra_of_Ice", "predicate": "proves", "object": "the algebra of ice is a bbc books original novel written by lloyd rose and based on the long-running"}
{"subject": "math:Axiom_of_global_choice", "predicate": "proves", "object": "in mathematics, specifically in class theories, the axiom of global choice is a stronger variant of "}
{"subject": "math:Axiom_of_limitation_of_size", "predicate": "proves", "object": "in set theory, the axiom of limitation of size was proposed by john von neumann in his 1925 axiom sy"}
{"subject": "math:2006_British_Grand_Prix", "predicate": "proves", "object": "the 2006 british grand prix (officially the 2006 formula 1 foster's british grand prix) was a formul"}
{"subject": "math:Alexander_Oppenheim", "predicate": "proves", "object": "sir alexander oppenheim, obe frse kt pmn (4 february 1903 \u2013 13 december 1997) was a british mathemat"}
{"subject": "math:Diethylamine", "predicate": "proves", "object": "diethylamine is an organic compound with the formula (ch3ch2)2nh. it is a secondary amine. it is a f"}
{"subject": "math:Potassium_aluminate", "predicate": "proves", "object": "potassium aluminate is an inorganic compound with the formula kalo2, which in aqueous solution exist"}
{"subject": "math:Return_of_Pink_Five", "predicate": "proves", "object": "return of pink five is a sequel to the fan films pink five and pink five strikes back. it continues "}
{"subject": "math:Believers_(Babylon_5)", "predicate": "proves", "object": "\"believers\" is the tenth episode of the first season of the science fiction television series, babyl"}
{"subject": "math:Partition_topology", "predicate": "proves", "object": "in mathematics, the partition topology is a topology that can be induced on any set  by partitioning"}
{"subject": "math:Methyllithium", "predicate": "proves", "object": "methyllithium is the simplest organolithium reagent with the empirical formula ch3li. this s-block o"}
{"subject": "math:Particular_point_topology", "predicate": "proves", "object": "in mathematics, the particular point topology (or included point topology) is a topology where  a se"}
{"subject": "math:E7\u00bd", "predicate": "proves", "object": "{{displaytitle:e7\u00bd}}\nin mathematics, the lie algebra e7\u00bd is a subalgebra of e8 containing e7 defined"}
{"subject": "math:Gradient_theorem", "predicate": "proves", "object": "the gradient theorem, also known as the fundamental theorem of calculus for line integrals, says tha"}
{"subject": "math:Daniel_Kastler", "predicate": "proves", "object": "daniel kastler (; 4 march 1926 \u2013 4 july 2015) was a french theoretical physicist, working on the fou"}
{"subject": "math:Mikhail_Suslin", "predicate": "proves", "object": "mikhail yakovlevich suslin (; , november 15, 1894 \u2013 21 october 1919, krasavka) (sometimes transliter"}
{"subject": "math:Titanium_tetrabromide", "predicate": "proves", "object": "titanium tetrabromide is the chemical compound with the formula tibr4.  it is the most volatile tran"}
{"subject": "math:Triethyloxonium_tetrafluoroborate", "predicate": "proves", "object": "triethyloxonium tetrafluoroborate is the organic oxonium compound with the formula . it is often cal"}
{"subject": "math:RLW", "predicate": "proves", "object": "rlw is the abbreviation for two different rugby league magazines, one in the uk and the other in aus"}
{"subject": "math:Linear\u2013quadratic_regulator", "predicate": "proves", "object": "the theory of optimal control is concerned with operating a dynamic system at minimum cost.  the cas"}
{"subject": "math:Ana_Mar\u00eda_Alvarado", "predicate": "proves", "object": "ana mar\u00eda alvarado (born november 28, 1968, in mexico city) is a mexican journalist.\n\neducation \n\nal"}
{"subject": "math:Cetrimonium_chloride", "predicate": "proves", "object": "cetrimonium chloride, or cetyltrimethylammonium chloride (ctac), is a topical antiseptic and surfact"}
{"subject": "math:Gibbs_isotherm", "predicate": "proves", "object": "the gibbs adsorption isotherm for multicomponent systems is an equation used to relate the changes i"}
{"subject": "math:Toric_section", "predicate": "proves", "object": "a toric section is an intersection of a plane with a torus, just as a conic section is the intersect"}
{"subject": "math:Turbulence_kinetic_energy", "predicate": "proves", "object": "in fluid dynamics, turbulence kinetic energy (tke) is the mean kinetic energy per unit mass associat"}
{"subject": "math:Myerson\u2013Satterthwaite_theorem", "predicate": "proves", "object": "the myerson\u2013satterthwaite theorem is an important result in mechanism design and the economics of as"}
{"subject": "math:En_(Lie_algebra)", "predicate": "proves", "object": "{{displaytitle:en (lie algebra)}}\n\nin mathematics, especially in lie theory, en is the kac\u2013moody alg"}
{"subject": "math:Harish-Chandra_isomorphism", "predicate": "proves", "object": "in mathematics, the harish-chandra isomorphism, introduced by ,\nis an isomorphism of commutative rin"}
{"subject": "math:Differential_variational_inequality", "predicate": "proves", "object": "in mathematics, a differential variational inequality (dvi) is a dynamical system that incorporates "}
{"subject": "math:Tamanawis_Secondary_School", "predicate": "proves", "object": "tamanawis secondary is a public secondary school in surrey, british columbia. it is a part of school"}
{"subject": "math:Brooklyn_Amity_School", "predicate": "proves", "object": "brooklyn amity school (also known as amity) is a  upk-12 private school that was founded in 1999. as"}
{"subject": "math:Midnight_Whispers", "predicate": "proves", "object": "midnight whispers is the fourth novel in the cutler series, written in 1992 by the ghost-writer of v"}
{"subject": "math:Coxeter\u2013Dynkin_diagram", "predicate": "proves", "object": "in geometry, a coxeter\u2013dynkin diagram (or coxeter diagram, coxeter graph) is a graph with numericall"}
{"subject": "math:Eckart_Viehweg", "predicate": "proves", "object": "eckart viehweg (born 30 december 1948 in zwickau, died 29 january 2010) was a german mathematician. "}
{"subject": "math:H\u00e9l\u00e8ne_Esnault", "predicate": "proves", "object": "h\u00e9l\u00e8ne esnault (born 17 july 1953) is a french and german mathematician, specializing in algebraic g"}
{"subject": "math:Yukon_Jack_(liqueur)", "predicate": "proves", "object": "yukon jack is a liqueur, made from canadian whisky and honey. it is named after the pioneer leroy na"}
{"subject": "math:Bifluoride", "predicate": "proves", "object": "the bifluoride ion is an inorganic anion with the chemical formula . the anion is colorless. salts o"}
{"subject": "math:Titanium(III)_oxide", "predicate": "proves", "object": "titanium(iii) oxide is the inorganic compound with the formula ti2o3. a black semiconducting solid, "}
{"subject": "math:Leibniz_formula_for_determinants", "predicate": "proves", "object": "in algebra, the leibniz formula, named in honor of gottfried leibniz, expresses the determinant of a"}
{"subject": "math:Perron_number", "predicate": "proves", "object": "in mathematics, a perron number is an algebraic integer \u03b1 which is real and exceeds 1, but such that"}
{"subject": "math:Silver_machine", "predicate": "proves", "object": "in set theory, silver machines are devices used for bypassing the use of fine structure in proofs of"}
{"subject": "math:Circled_plus", "predicate": "proves", "object": "circled plus (\u2295) or  n-ary circled plus (\u2a01) (in unicode, , ) may refer to:\n\n direct sum, an operatio"}
{"subject": "math:Leibniz_algebra", "predicate": "proves", "object": "in mathematics, a (right) leibniz algebra, named after gottfried wilhelm leibniz, sometimes called a"}
{"subject": "math:AP_Physics_C:_Mechanics", "predicate": "proves", "object": "advanced placement (ap) physics c: mechanics (also known as ap mechanics) is an introductory physics"}
{"subject": "math:Pickering_v._Board_of_Education", "predicate": "proves", "object": "pickering v. board of education, 391 u.s. 563 (1968), was a case in which the supreme court of the u"}
{"subject": "math:Cape_Manifold", "predicate": "proves", "object": "cape manifold () is a coastal headland in central queensland, australia.\n\nit was named by captain co"}
{"subject": "math:Shlomo_Sternberg", "predicate": "proves", "object": "shlomo zvi sternberg (born 1936), is an american mathematician known for his work in geometry, parti"}
{"subject": "math:Ryll-Nardzewski_fixed-point_theorem", "predicate": "proves", "object": "in functional analysis, a branch of mathematics, the ryll-nardzewski fixed-point theorem states that"}
{"subject": "math:Johannes_Petreius", "predicate": "proves", "object": "johann(es) petreius (hans peterlein, petrejus, petri; c. 1497, in langendorf near bad kissingen \u2013 18"}
{"subject": "math:Semicarbazide", "predicate": "proves", "object": "semicarbazide is the chemical compound with the formula oc(nh2)(n2h3). it is a water-soluble white s"}
{"subject": "math:Malcev_algebra", "predicate": "proves", "object": "in mathematics, a malcev algebra (or maltsev algebra or moufang\u2013lie algebra) over a field is a nonas"}
{"subject": "math:Formal_ontology", "predicate": "proves", "object": "in philosophy, the term formal ontology is used to refer to an ontology defined by axioms in a forma"}
{"subject": "math:Ammonium_ferric_citrate", "predicate": "proves", "object": "ammonium ferric citrate (also known as ferric ammonium citrate or ammoniacal ferrous citrate) has th"}
{"subject": "math:Ethylammonium_nitrate", "predicate": "proves", "object": "ethylammonium nitrate or ethylamine nitrate (ean) is a salt with formula  . it is an odorless and co"}
{"subject": "math:Spheroidal_wave_equation", "predicate": "proves", "object": "in mathematics, the spheroidal wave equation is given by\n\nit is a generalization of the mathieu diff"}
{"subject": "math:Isochoric", "predicate": "proves", "object": "isochoric may refer to:\n\ncell-transitive, in geometry\nisochoric process, a constant volume process i"}
{"subject": "math:Dipotassium_phosphate", "predicate": "proves", "object": "dipotassium phosphate (k2hpo4) (also dipotassium hydrogen orthophosphate; potassium phosphate dibasi"}
{"subject": "math:Constant_of_motion", "predicate": "proves", "object": "in mechanics, a constant of motion is a physical quantity conserved throughout the motion, imposing "}
{"subject": "math:Dithioerythritol", "predicate": "proves", "object": "dithioerythritol (dte) is a sulfur containing sugar alcohol derived from the corresponding 4-carbon "}
{"subject": "math:Riemann_Xi_function", "predicate": "proves", "object": "in mathematics, the riemann xi function is a variant of the riemann zeta function, and is defined so"}
{"subject": "math:Chasles'_theorem", "predicate": "proves", "object": "chasles' theorem may refer to any of several mathematical results attributed to michel chasles (1793"}
{"subject": "math:Wilkes_Land_crater", "predicate": "proves", "object": "wilkes land crater is an informal term that may apply to two separate cases of conjectured giant imp"}
{"subject": "math:Nickel(II)_hydroxide", "predicate": "proves", "object": "nickel(ii) hydroxide is the inorganic compound with the formula ni(oh)2.  it is a lime-green solid t"}
{"subject": "math:Cadmium_nitrate", "predicate": "proves", "object": "cadmium nitrate describes any of the related members of a family of inorganic compounds with the gen"}
{"subject": "math:Iron(III)_nitrate", "predicate": "proves", "object": "iron(iii) nitrate, or ferric nitrate, is the name used for a series of inorganic compounds with the "}
{"subject": "math:15_and_290_theorems", "predicate": "proves", "object": "in mathematics, the 15 theorem or conway\u2013schneeberger fifteen theorem, proved by john h. conway and "}
{"subject": "math:Lopburi_(disambiguation)", "predicate": "proves", "object": "lopburi or lop buri may refer to:\n\nlopburi or lavapura, city in lopburi province, thailand\nlopburi p"}
{"subject": "math:Ethyl_pentanoate", "predicate": "proves", "object": "ethyl pentanoate, also commonly known as ethyl valerate, is an organic compound used in flavors.  it"}
{"subject": "math:Phenyl_azide", "predicate": "proves", "object": "phenyl azide is an organic compound with the formula c6h5n3.  it is one of the prototypical organic "}
{"subject": "math:Wim_Eyckmans", "predicate": "proves", "object": "wim eyckmans (born 23 march 1973, herentals, belgium) is a belgian racecar driver who starting in ka"}
{"subject": "math:Pac-Man:_Adventures_in_Time", "predicate": "proves", "object": "pac-man: adventures in time is a 2000 maze video game in the pac-man series developed by creative as"}
{"subject": "math:C6H5N3", "predicate": "proves", "object": "{{displaytitle:c6h5n3}}\nthe molecular formula c6h5n3 (molar mass: 119.12 g/mol) may refer to:\n\n benz"}
{"subject": "math:Ludwig_Heimrath", "predicate": "proves", "object": "ludwig heimrath jr. (born september 9, 1956) is a canadian businessman and former race car driver in"}
{"subject": "math:1-Butanol", "predicate": "proves", "object": "1-butanol, also known as butan-1-ol or n-butanol, is a primary alcohol with the chemical formula c4h"}
{"subject": "math:Slice_genus", "predicate": "proves", "object": "in mathematics, the slice genus of a smooth knot k in s3 (sometimes called its murasugi genus or 4-b"}
{"subject": "math:R_v_B_(KG)", "predicate": "proves", "object": "r v b (kg), [1993] 1 scr 740, popularly known as the kgb case,  is a leading supreme court of canada"}
{"subject": "math:Track_geometry_car", "predicate": "proves", "object": "a track geometry car (also known as a track recording car) is an automated track inspection vehicle "}
{"subject": "math:Cyclobutadieneiron_tricarbonyl", "predicate": "proves", "object": "cyclobutadieneiron tricarbonyl is an organoiron compound with the formula fe(c4h4)(co)3. it is a yel"}
{"subject": "math:Chevalley_basis", "predicate": "proves", "object": "in mathematics, a chevalley basis for a simple complex lie algebra is a basis constructed by claude "}
{"subject": "math:Advection_upstream_splitting_method", "predicate": "proves", "object": "the advection upstream splitting method (ausm) is a numerical method used to solve the advection equ"}
{"subject": "math:Zirconium_disilicide", "predicate": "proves", "object": "zirconium disilicide is an inorganic chemical compound with the chemical formula zrsi2, consisting o"}
{"subject": "math:Zirconium_disulfide", "predicate": "proves", "object": "zirconium(iv) sulfide is the inorganic compound with the formula zrs2.  it is a violet-brown solid. "}
{"subject": "math:Studio_33", "predicate": "proves", "object": "studio 33 was a game developer from liverpool, uk. it was once partly owned by psygnosis, making new"}
{"subject": "math:Daniel_Lemma", "predicate": "proves", "object": "daniel lemma (born 1970 in ethiopia) is a swedish-based musician/singer-songwriter.\n\nhis music is fi"}
{"subject": "math:Stab_vest", "predicate": "proves", "object": "a stab vest or stab proof vest is a reinforced piece of body armor, worn under or over other items o"}
{"subject": "math:Zinc_molybdate", "predicate": "proves", "object": "zinc molybdate is an inorganic compound with the formula znmoo4. it is used as a white pigment, whic"}
{"subject": "math:Zinc_phosphate", "predicate": "proves", "object": "zinc phosphate is an inorganic compound with the formula zn3(po4)2.  this white powder is widely use"}
{"subject": "math:Algebraic_operation", "predicate": "proves", "object": "in mathematics, a basic algebraic operation is any one of the common operations of elementary algebr"}
{"subject": "math:Yttrium(III)_arsenide", "predicate": "proves", "object": "yttrium arsenide is an inorganic compound of yttrium and arsenic with the chemical formula yas. it c"}
{"subject": "math:Tungsten(IV)_oxide", "predicate": "proves", "object": "tungsten(iv) oxide is the chemical compound with the formula wo2.  the bronze-colored solid crystall"}
{"subject": "math:Tungsten(V)_bromide", "predicate": "proves", "object": "tungsten(v) bromide is the inorganic compound with the empirical formula wbr5. the compound consists"}
{"subject": "math:Tungsten(V)_chloride", "predicate": "proves", "object": "tungsten(v) chloride is an inorganic compound with the formula w2cl10. this compound is analogous in"}
{"subject": "math:Tungsten_dichloride_dioxide", "predicate": "proves", "object": "tungsten dichloride dioxide, or tungstyl chloride is the chemical compound with the formula . it is "}
{"subject": "math:Tungsten(VI)_oxytetrabromide", "predicate": "proves", "object": "tungsten(vi) oxytetrabromide  is the inorganic compound with the formula wobr4. this a red-brown, hy"}
{"subject": "math:Tungsten(VI)_oxytetrachloride", "predicate": "proves", "object": "tungsten(vi) oxytetrachloride is the inorganic compound with the formula wocl4.  this diamagnetic so"}
{"subject": "math:Tungsten_oxytetrafluoride", "predicate": "proves", "object": "tungsten oxytetrafluoride is an inorganic compound with the formula wof4.  it is a colorless diamagn"}
{"subject": "math:Digon", "predicate": "proves", "object": "in geometry, a digon  is a polygon with two sides (edges) and two vertices. its construction is dege"}
{"subject": "math:Ornstein_isomorphism_theorem", "predicate": "proves", "object": "in mathematics, the ornstein isomorphism theorem is a deep result in ergodic theory.  it states that"}
{"subject": "math:Atmospheric_model", "predicate": "proves", "object": "in atmospheric science, an atmospheric model is a mathematical model constructed around the full set"}
{"subject": "math:Tantalum(IV)_sulfide", "predicate": "proves", "object": "tantalum(iv) sulfide is an inorganic compound with the formula tas2. it is a layered compound with t"}
{"subject": "math:Tantalum(V)_bromide", "predicate": "proves", "object": "tantalum(v) bromide is the inorganic compound with the formula ta2br10. its name comes from the comp"}
{"subject": "math:Terbium(III)_oxide", "predicate": "proves", "object": "terbium(iii) oxide, also known as terbium sesquioxide, is a sesquioxide of the rare earth metal terb"}
{"subject": "math:Ditellurium_bromide", "predicate": "proves", "object": "ditellurium bromide is the inorganic compound with the formula te2br. it is one of the few stable lo"}
{"subject": "math:Tritellurium_dichloride", "predicate": "proves", "object": "tritellurium dichloride is the inorganic compound with the formula te3cl2. it is one of the more sta"}
{"subject": "math:Poussin_proof", "predicate": "proves", "object": "in number theory, the poussin proof is the proof of an identity related to the fractional part of a "}
{"subject": "math:1957_Moroccan_Grand_Prix", "predicate": "proves", "object": "the 1957 moroccan grand prix (officially named the vi grand prix de maroc) was a non-championship fo"}
{"subject": "math:Vizing's_theorem", "predicate": "proves", "object": "in graph theory, vizing's theorem states that every simple undirected graph may be edge colored usin"}
{"subject": "math:F1_Racing_Championship", "predicate": "proves", "object": "f1 racing championship is a video game developed by ubi soft. starring people and locations from the"}
{"subject": "math:Thorium(IV)_chloride", "predicate": "proves", "object": "thorium(iv) chloride describes a family of inorganic compounds with the formula thcl4(h2o)n.  both t"}
{"subject": "math:Whitney_extension_theorem", "predicate": "proves", "object": "in mathematics, in particular in mathematical analysis, the whitney extension theorem is a partial c"}
{"subject": "math:Titanium_tetrafluoride", "predicate": "proves", "object": "titanium(iv) fluoride is the inorganic compound with the formula tif4.  it is a white hygroscopic so"}
{"subject": "math:Mertens'_theorem", "predicate": "proves", "object": "for mertens' results on the distribution of prime numbers, see mertens' theorems.\n for mertens' resu"}
{"subject": "math:Geometric_function_theory", "predicate": "proves", "object": "geometric function theory is the study of geometric properties of analytic functions.  a fundamental"}
{"subject": "math:Philipp_Peter", "predicate": "proves", "object": "philipp peter (born 6 april 1969 in vienna) is a race car driver from austria.\n\nhe started in junior"}
{"subject": "math:F1_(video_game)", "predicate": "proves", "object": "f1 (released as formula one in the usa) is a 1993 racing video game published by domark, based on vr"}
{"subject": "math:Collocation_method", "predicate": "proves", "object": "in mathematics, a collocation method is a method for the numerical solution of ordinary differential"}
{"subject": "math:K\u00f6nig's_theorem", "predicate": "proves", "object": "there are several theorems associated with the name k\u00f6nig or k\u0151nig:\n\n k\u00f6nig's theorem (set theory), "}
{"subject": "math:K\u0151nig's_theorem_(graph_theory)", "predicate": "proves", "object": "in the mathematical area of graph theory, k\u0151nig's theorem, proved by , describes an equivalence betw"}
{"subject": "math:Coefficient_diagram_method", "predicate": "proves", "object": "in control theory, the coefficient diagram method (cdm) is an algebraic approach applied to a polyno"}
{"subject": "math:Stable_manifold", "predicate": "proves", "object": "in mathematics, and in particular the study of dynamical systems, the idea of stable and unstable se"}
{"subject": "math:Holography_(disambiguation)", "predicate": "proves", "object": "holography is a technique for recording and reconstruction of wavefronts.\n\nholography and holographi"}
{"subject": "math:Anderstorp", "predicate": "proves", "object": "anderstorp () is a locality situated in gislaved municipality, j\u00f6nk\u00f6ping county, sweden with 4,965 i"}
{"subject": "math:Weitzenb\u00f6ck_identity", "predicate": "proves", "object": "in mathematics, in particular in differential geometry, mathematical physics, and representation the"}
{"subject": "math:Carry_On_Christmas_Specials", "predicate": "proves", "object": "the carry on christmas specials were four one-off specials produced for thames television made in 19"}
{"subject": "math:Jan_Mikusi\u0144ski", "predicate": "proves", "object": "jan mikusi\u0144ski (april 3, 1913 stanis\u0142aw\u00f3w \u2013 july 27, 1987 katowice) was a polish mathematician based"}
{"subject": "math:Axiom_A", "predicate": "proves", "object": "in mathematics, smale's axiom a defines a class of dynamical systems which have been extensively stu"}
{"subject": "math:Carlos_Guerrero_(racing_driver)", "predicate": "proves", "object": "carlos guerrero (born november 20, 1957, mexico city, mexico) is a retired mexican racing driver. he"}
{"subject": "math:Lewy's_example", "predicate": "proves", "object": "in the mathematical study of partial differential equations, lewy's example is a celebrated example,"}
{"subject": "math:Graded_Lie_algebra", "predicate": "proves", "object": "in mathematics, a graded lie algebra is a lie algebra endowed with a gradation which is compatible w"}
{"subject": "math:Eddie_Jordan_Racing", "predicate": "proves", "object": "eddie jordan racing was a british racing stable founded by irish racing driver eddie jordan in 1980."}
{"subject": "math:ANIMAL_(image_processing)", "predicate": "proves", "object": "animal (first implementation: 1988 - revised: 2004) is an interactive environment for image processi"}
{"subject": "math:2006_Canadian_Grand_Prix", "predicate": "proves", "object": "the 2006 canadian grand prix (officially the formula 1 grand prix du canada 2006) was a formula one "}
{"subject": "math:Department_of_Finance_(Philippines)", "predicate": "proves", "object": "the department of finance (dof; ) is the executive department of the philippine government responsib"}
{"subject": "math:CD-Cops", "predicate": "proves", "object": "cd-cops was the first cd-rom protection system to use the geometry of the cd-rom media rather than a"}
{"subject": "math:Constraint_grammar", "predicate": "proves", "object": "constraint grammar (cg) is a methodological paradigm for natural language processing (nlp). linguist"}
{"subject": "math:1,4-Dichlorobutane", "predicate": "proves", "object": "1,4-dichlorobutane is a chloroalkane with the molecular formula . it is one of several structural is"}
{"subject": "math:Refactorable_number", "predicate": "proves", "object": "a refactorable number or tau number is an integer n that is divisible by the count of its divisors, "}
{"subject": "math:Antimony_triiodide", "predicate": "proves", "object": "antimony triiodide is the chemical compound with the formula sbi3.  this ruby-red solid is the only "}
{"subject": "math:Antimony_triselenide", "predicate": "proves", "object": "antimony triselenide is the chemical compound with the formula . the material exists as the sulfosal"}
{"subject": "math:Scandium(III)_sulfide", "predicate": "proves", "object": "scandium(iii) sulfide is a chemical compound of scandium and sulfur with the chemical formula sc2s3."}
{"subject": "math:Selenium_hexasulfide", "predicate": "proves", "object": "selenium hexasulfide is a chemical compound with the chemical formula . its molecular structure cons"}
{"subject": "math:Selenium_trioxide", "predicate": "proves", "object": "selenium trioxide is the inorganic compound with the formula seo3. it is white, hygroscopic solid.  "}
{"subject": "math:Tin(II)_bromide", "predicate": "proves", "object": "tin(ii) bromide is a chemical compound of tin and bromine with a chemical formula of snbr2. tin is i"}
{"subject": "math:Monogon", "predicate": "proves", "object": "in geometry, a monogon, also known as a henagon, is a polygon with one edge and one vertex. it has s"}
{"subject": "math:Retarded_position", "predicate": "proves", "object": "einstein's equations admit gravity wave-like solutions. in the case of a moving point-like mass and "}
{"subject": "math:Continuum_function", "predicate": "proves", "object": "in mathematics, the continuum function is , i.e. raising 2 to the power of \u03ba using cardinal exponent"}
{"subject": "math:Aluminium_carbide", "predicate": "proves", "object": "aluminium carbide, chemical formula al4c3, is a carbide of aluminium. it has the appearance of pale "}
{"subject": "math:Octadecyltrichlorosilane", "predicate": "proves", "object": "octadecyltrichlorosilane (odts or n-octadecyltrichlorosilane) is an organosilicon compound with the "}
{"subject": "math:Superfinishing", "predicate": "proves", "object": "superfinishing, also known as micromachining, microfinishing, and short-stroke honing, is a metalwor"}
{"subject": "math:Multi-scale_approaches", "predicate": "proves", "object": "the scale space representation of a signal obtained by gaussian smoothing satisfies a number of spec"}
{"subject": "math:Bar_induction", "predicate": "proves", "object": "bar induction is a reasoning principle used in intuitionistic mathematics, introduced by l. e. j. br"}
{"subject": "math:Many_histories", "predicate": "proves", "object": "many histories may refer to:\n the many worlds interpretation of quantum theory \n the consistent hist"}
{"subject": "math:Regular_set", "predicate": "proves", "object": "regular set may refer to:\n\nfree regular set\nclosed regular set\n\u03bc-regular set\nset in a theory of sets"}
{"subject": "math:Interactional_expertise", "predicate": "proves", "object": "interactional expertise is part of a more complex classification of expertise developed by harry col"}
{"subject": "math:Stability_theory", "predicate": "proves", "object": "in mathematics, stability theory addresses the stability of solutions of differential equations and "}
{"subject": "math:Stable_manifold_theorem", "predicate": "proves", "object": "in mathematics, especially in the study of dynamical systems and differential equations, the stable "}
{"subject": "math:Ten_Feet_Tall_and_Bulletproof", "predicate": "proves", "object": "ten feet tall and bulletproof is the fourth studio album by american country music artist travis tri"}
{"subject": "math:2002_Isle_of_Man_TT", "predicate": "proves", "object": "\n\nresults\nrace 1 \u2013 duke tt formula one race (6 laps \u2013 226.38 miles)\n\nrace 10 \u2013 standard bank offshor"}
{"subject": "math:Ammonium_alum", "predicate": "proves", "object": "ammonium aluminium sulfate, also known as ammonium alum or just alum (though there are many differen"}
{"subject": "math:Gyroelongated_bipyramid", "predicate": "proves", "object": "in geometry, the gyroelongated bipyramids are an infinite set of polyhedra, constructed by elongatin"}
{"subject": "math:Expansive_homeomorphism", "predicate": "proves", "object": "in mathematics, the notion of expansivity formalizes the notion of points moving away from one anoth"}
{"subject": "math:WMD_conjecture_in_the_aftermath_of_the_2003_invasi", "predicate": "proves", "object": "wmd conjecture in the aftermath of the 2003 invasion of iraq concerns the immediate reactions and co"}
{"subject": "math:Kronecker_limit_formula", "predicate": "proves", "object": "in mathematics, the classical kronecker limit formula describes the constant term at s = 1 of a real"}
{"subject": "math:Symmetric_hypergraph_theorem", "predicate": "proves", "object": "the symmetric hypergraph theorem is a theorem in combinatorics that puts an upper bound on the chrom"}
{"subject": "math:Moore_plane", "predicate": "proves", "object": "in mathematics, the moore plane, also sometimes called niemytzki plane (or nemytskii plane, nemytski"}
{"subject": "math:Extension_topology", "predicate": "proves", "object": "in topology, a branch of mathematics, an extension topology is a topology placed on the disjoint uni"}
{"subject": "math:Super_Virasoro_algebra", "predicate": "proves", "object": "in mathematical physics, a super virasoro algebra is an extension of the virasoro algebra (named aft"}
{"subject": "math:UNMAI", "predicate": "proves", "object": "unmai (unit of monitoring of aid implementation) is an intosai initiative in the framework of the ai"}
{"subject": "math:Chief_executive_(Irish_local_government)", "predicate": "proves", "object": "the chief executive of a city or county is the senior permanent official in local government in the "}
{"subject": "math:David_Hine", "predicate": "proves", "object": "david hine (born 1956) is an english comic book writer and artist, known for his work on silent war "}
{"subject": "math:Lax_pair", "predicate": "proves", "object": "in mathematics, in the theory of integrable systems, a lax pair is a pair of time-dependent matrices"}
{"subject": "math:H\u00e9ctor_Rebaque", "predicate": "proves", "object": "h\u00e9ctor alonso rebaque (born 5 february 1956) is a mexican former racing driver who raced in formula "}
{"subject": "math:Ry\u014d_Fukuda", "predicate": "proves", "object": "ryo fukuda (\u798f\u7530\u826f fukada ry\u014d, born june 26, 1979, in fukuoka, fukuoka) is a japanese racecar driver. i"}
{"subject": "math:Fundamental_thermodynamic_relation", "predicate": "proves", "object": "in thermodynamics, the fundamental thermodynamic relation are four fundamental equations which demon"}
{"subject": "math:Ideal_triangle", "predicate": "proves", "object": "in hyperbolic geometry an ideal triangle is a hyperbolic triangle whose three vertices all are ideal"}
{"subject": "math:Gauss's_principle_of_least_constraint", "predicate": "proves", "object": "the principle of least constraint is one variational formulation of classical mechanics enunciated b"}
{"subject": "math:Colorado_Kool-Aid", "predicate": "proves", "object": "colorado kool-aid may refer to:\n\na slang term for coors beer\nred sovine\ncolorado kool-aid (song), a "}
{"subject": "math:Miroslav_Fiedler", "predicate": "proves", "object": "miroslav fiedler (7 april 1926 \u2013 20 november 2015) was a czech mathematician known for his contribut"}
{"subject": "math:Excluded_point_topology", "predicate": "proves", "object": "in mathematics, the excluded point topology is a topology where exclusion of a particular point defi"}
{"subject": "math:Borel_hierarchy", "predicate": "proves", "object": "in mathematical logic, the borel hierarchy is a stratification of the borel algebra generated by the"}
{"subject": "math:Line\u2013sphere_intersection", "predicate": "proves", "object": "in analytic geometry, a line and a sphere can intersect in three ways:\n\n no intersection at all\n int"}
{"subject": "math:Magic_Mile", "predicate": "proves", "object": "[\n  {\n    \"type\": \"externaldata\",\n    \"service\": \"geoline\",\n    \"ids\": \"q6730772\"\n  },\n  {\n    \"type"}
{"subject": "math:Baby_shampoo", "predicate": "proves", "object": "baby shampoo /\u02c8be\u026abi/ /\u0283\u00e6m\u02c8pu\u02d0/ is  a hair care product that is used for the removal of oils, dirt, "}
{"subject": "math:Ammonium_hexachloroplatinate", "predicate": "proves", "object": "ammonium hexachloroplatinate, also known as ammonium chloroplatinate, is the inorganic compound with"}
{"subject": "math:Lithium_amide", "predicate": "proves", "object": "lithium amide or lithium azanide is an inorganic compound with the chemical formula . it is a white "}
{"subject": "math:The_Animator's_Survival_Kit", "predicate": "proves", "object": "the animator's survival kit: a manual of methods, principles, and formulas for classical, computer, "}
{"subject": "math:Carbonyl_fluoride", "predicate": "proves", "object": "carbonyl fluoride is a chemical compound with the formula . it is a carbon oxohalide. this gas, like"}
{"subject": "math:Polarization_of_an_algebraic_form", "predicate": "proves", "object": "in mathematics, in particular in algebra, polarization is a technique for expressing a homogeneous p"}
{"subject": "math:Barrelhead_Root_Beer", "predicate": "proves", "object": "barrelhead root beer is a brand of root beer that used to be manufactured by dr pepper snapple group"}
{"subject": "math:Latigo_y_Daga", "predicate": "proves", "object": "latigo y daga  (\"whip and dagger\" in spanish) is a \nfilipino martial art which focuses on the use of"}
{"subject": "math:Substitution_tiling", "predicate": "proves", "object": "in geometry, a tile substitution is a method for constructing highly ordered tilings.  most importan"}
{"subject": "math:Dual_object", "predicate": "proves", "object": "in category theory, a branch of mathematics, a dual object is an analogue of a dual vector space fro"}
{"subject": "math:Protein_A", "predicate": "proves", "object": "protein a is a 42 kda surface protein originally found in the cell wall of the bacteria staphylococc"}
{"subject": "math:Eldorado_High_School_(New_Mexico)", "predicate": "proves", "object": "eldorado high school is a public 9\u201312 high school located in northeast albuquerque, new mexico, in t"}
{"subject": "math:Hyperbolic_tree", "predicate": "proves", "object": "a hyperbolic tree (often shortened as hypertree) is an information visualization and graph drawing m"}
{"subject": "math:Definable_set", "predicate": "proves", "object": "in mathematical logic, a definable set is an n-ary relation on the domain of a structure whose eleme"}
{"subject": "math:Capital_recovery_factor", "predicate": "proves", "object": "a capital recovery factor is the ratio of a constant annuity to the present value of receiving that "}
{"subject": "math:Genus_of_a_multiplicative_sequence", "predicate": "proves", "object": "in mathematics, a genus of a multiplicative sequence is a ring homomorphism from the ring of smooth "}
{"subject": "math:Iodine_monochloride", "predicate": "proves", "object": "iodine monochloride is an interhalogen compound with the formula . it is a red-brown chemical compou"}
{"subject": "math:2006_United_States_Grand_Prix", "predicate": "proves", "object": "the 2006 united states grand prix (formally the 2006 formula 1 united states grand prix) was a formu"}
{"subject": "math:Sulfur_trioxide_pyridine_complex", "predicate": "proves", "object": "sulfur trioxide pyridine complex is the compound with the formula c5h5nso3.  it is a colourless soli"}
{"subject": "math:Witt_ring", "predicate": "proves", "object": "in mathematics, a witt ring may be \na ring of witt vectors\nthe witt ring (forms), a ring structure o"}
{"subject": "math:John_de_Vries_(racing_driver)", "predicate": "proves", "object": "john de vries (born 3 april 1966, new south wales, australia) is a former driver in the indy racing "}
{"subject": "math:Quinuclidone", "predicate": "proves", "object": "quinuclidones are a class of bicyclic organic compounds with chemical formula c7h11no with two struc"}
{"subject": "math:JTS_Topology_Suite", "predicate": "proves", "object": "jts topology suite (java topology suite) is an open-source java software library that provides an ob"}
{"subject": "math:Schmidt_decomposition", "predicate": "proves", "object": "in linear algebra, the schmidt decomposition (named after its originator erhard schmidt) refers to a"}
{"subject": "math:Riesz's_lemma", "predicate": "proves", "object": "riesz's lemma (after frigyes riesz) is a lemma in functional analysis. it specifies (often easy to c"}
{"subject": "math:Benzamide", "predicate": "proves", "object": "benzamide is an organic compound with the chemical formula of c7h7no. it is the simplest amide deriv"}
{"subject": "math:Phosphorus_trioxide", "predicate": "proves", "object": "phosphorus trioxide is the chemical compound with the molecular formula p4o6.  although the molecula"}
{"subject": "math:Germanium_dioxide", "predicate": "proves", "object": "germanium dioxide, also called germanium(iv) oxide, germania, and salt of germanium, is an inorganic"}
{"subject": "math:1995_Isle_of_Man_TT", "predicate": "proves", "object": "in the 1995 isle of man tt motorcycle racing competition, joey dunlop won the senior tt and lightwei"}
{"subject": "math:Nitrophenol", "predicate": "proves", "object": "nitrophenols are compounds of the formula hoc6h5\u2212x(no2)x.  the conjugate bases are called nitropheno"}
{"subject": "math:Cyclohexanecarboxylic_acid", "predicate": "proves", "object": "cyclohexanecarboxylic acid is the organic compound with the formula c6h11co2h. it is the carboxylic "}
{"subject": "math:Clofibric_acid", "predicate": "proves", "object": "clofibric acid is a biologically active metabolite of the lipid-lowering drugs clofibrate, etofibrat"}
{"subject": "math:Tom_Coronel", "predicate": "proves", "object": "tom romeo coronel (born 5 april 1972) is a dutch professional racing driver. tom's twin brother tim "}
{"subject": "math:Dermott's_law", "predicate": "proves", "object": "dermott's law is an empirical formula for the orbital period of major satellites orbiting planets in"}
{"subject": "math:Anthranilic_acid", "predicate": "proves", "object": "anthranilic acid is an aromatic acid with the formula c6h4(nh2)(co2h) and has a sweetish taste. the "}
{"subject": "math:Zak_Morioka", "predicate": "proves", "object": "zaqueu \"zak\" morioka (born november 6, 1978) is a racecar driver from s\u00e3o paulo, brazil.  he won the"}
{"subject": "math:Frobenius_theorem", "predicate": "proves", "object": "there are several mathematical theorems named after ferdinand georg frobenius. they include:\n\n frobe"}
{"subject": "math:Painlev\u00e9", "predicate": "proves", "object": "painlev\u00e9, a surname, may refer to:\n\n\npeople\n jean painlev\u00e9 (1902\u20131989), french film director, actor,"}
{"subject": "math:French_passport", "predicate": "proves", "object": "a french passport () is an identity document issued to french citizens. besides enabling the bearer "}
{"subject": "math:Tim_Notting", "predicate": "proves", "object": "tim notting (born 21 october 1978) is a former two-time premiership winning australian rules footbal"}
{"subject": "math:Proof_of_the_Euler_product_formula_for_the_Riemann", "predicate": "proves", "object": "leonhard euler proved the euler product formula for the riemann zeta function in his thesis variae o"}
{"subject": "math:Align", "predicate": "proves", "object": "align may refer to:\n\n align (album), an album released by the band halifax \n the process of alignmen"}
{"subject": "math:Open_book_decomposition", "predicate": "proves", "object": "in mathematics, an open book decomposition (or simply an open book) is a decomposition of a closed o"}
{"subject": "math:Andrzej_Bia\u0142ynicki-Birula", "predicate": "proves", "object": "andrzej bia\u0142ynicki-birula (26 december 1935 \u2013 19 april 2021) was a polish mathematician, best known "}
{"subject": "math:Pramana", "predicate": "proves", "object": "pramana (sanskrit: \u092a\u094d\u0930\u092e\u093e\u0923, ) literally means \"proof\" and \"means of knowledge\". in indian philosophie"}
{"subject": "math:Ramsey_RESET_test", "predicate": "proves", "object": "in statistics, the ramsey regression equation specification error test (reset) test is a general spe"}
{"subject": "math:Shinya_Nakano", "predicate": "proves", "object": "is a retired japanese grand prix motorcycle road racer and superbike rider. he is not related to the"}
{"subject": "math:HMS_Glatton_(1871)", "predicate": "proves", "object": "hms glatton was a breastwork monitor which served in the victorian royal navy.\n\ndesign \n\nshe was des"}
{"subject": "math:Oranjegekte", "predicate": "proves", "object": "oranjegekte (orange craze) or oranjekoorts (orange fever) is a phenomenon in the netherlands that oc"}
{"subject": "math:Bretschneider's_formula", "predicate": "proves", "object": "in geometry, bretschneider's formula is a mathematical expression for the area of a general quadrila"}
{"subject": "math:K0", "predicate": "proves", "object": "k0  may refer to:\n spectral class k0, a star spectral class\n the 1965 first model of the honda cb450"}
{"subject": "math:Bromine_monochloride", "predicate": "proves", "object": "bromine monochloride, also called bromine(i) chloride, bromochloride, and bromine chloride, is an in"}
{"subject": "math:Aziridines", "predicate": "proves", "object": "in organic chemistry, aziridines are organic compounds containing the aziridine functional group (ch"}
{"subject": "math:Propylene_carbonate", "predicate": "proves", "object": "propylene carbonate (often abbreviated pc) is an organic compound with the formula c4h6o3. it is a c"}
{"subject": "math:2006_French_Grand_Prix", "predicate": "proves", "object": "the 2006 french grand prix (officially the formula 1 grand prix de france 2006) was a formula one mo"}
{"subject": "math:Juan_Carlos_Carbonell", "predicate": "proves", "object": "juan carlos carbonell (born may 16, 1970), is a chilean open wheel race-car driver.  born in santiag"}
{"subject": "math:Intersection_theorem", "predicate": "proves", "object": "in projective geometry, an intersection theorem or incidence theorem is a statement concerning an in"}
{"subject": "math:Formula_Libre", "predicate": "proves", "object": "formula libre, also known as formule libre, is a form of automobile racing allowing a wide variety o"}
{"subject": "math:Formula_1_(video_game)", "predicate": "proves", "object": "formula 1 is a racing video game developed by bizarre creations and published by psygnosis for plays"}
{"subject": "math:Distributed_amplifier", "predicate": "proves", "object": "distributed amplifiers are circuit designs that incorporate transmission line theory into traditiona"}
{"subject": "math:Ace_Driver", "predicate": "proves", "object": "is a 1994 racing arcade game developed and published by namco. the player controls a formula one rac"}
{"subject": "math:Nathalie_Kelley", "predicate": "proves", "object": "nathalie kelley (born march 3, 1984) is a peruvian-australian actress, known for her role as neela i"}
{"subject": "math:C._S._Seshadri", "predicate": "proves", "object": "conjeevaram srirangachari seshadri  (29 february 1932 \u2013 17 july 2020) was an indian mathematician. h"}
{"subject": "math:Lie_coalgebra", "predicate": "proves", "object": "in mathematics a lie coalgebra is the dual structure to a lie algebra.\n\nin finite dimensions, these "}
{"subject": "math:Max_Deuring", "predicate": "proves", "object": "max deuring (9 december 1907 \u2013 20 december 1984) was a german mathematician. he is known for his wor"}
{"subject": "math:1,4-Dihydropyridine", "predicate": "proves", "object": "1,4-dihydropyridine (dhp) is an organic compound with the formula ch2(ch=ch)2nh.  the parent compoun"}
{"subject": "math:Tetracyanoethylene", "predicate": "proves", "object": "tetracyanoethylene (tcne) is organic compound with the formula . it is a colorless solid, although s"}
{"subject": "math:Isonicotinic_acid", "predicate": "proves", "object": "isonicotinic acid or pyridine-4-carboxylic acid is an organic compound with the formula c5h4n(co2h)."}
{"subject": "math:A_Different_Kind_of_Love_Song", "predicate": "proves", "object": "\"a different kind of love song\" is a song by american recording artist cher, taken from her 24th stu"}
{"subject": "math:Song_for_the_Lonely", "predicate": "proves", "object": "\"song for the lonely\" (originally titled \"(this is) a song for the lonely\") is a song by american si"}
{"subject": "math:Lorenz_system", "predicate": "proves", "object": "the lorenz system is a system of ordinary differential equations first studied by mathematician and "}
{"subject": "math:Marchenko_equation", "predicate": "proves", "object": "in mathematical physics, more specifically the one-dimensional inverse scattering problem, the march"}
{"subject": "math:Formula_Ford_1600", "predicate": "proves", "object": "formula ford 1600 is a number of championships which cater to 1600cc, ford kent powered formula ford"}
{"subject": "math:Latimer\u2013MacDuffee_theorem", "predicate": "proves", "object": "the latimer\u2013macduffee theorem is a theorem in abstract algebra, a branch of mathematics. \nit is name"}
{"subject": "math:Beefeater_Gin", "predicate": "proves", "object": "beefeater gin is a brand of gin owned by pernod ricard and bottled and distributed in the united kin"}
{"subject": "math:Path_integral", "predicate": "proves", "object": "path integral may refer to:\n line integral, the integral of a function along a curve\n contour integr"}
{"subject": "math:Formula_One_Constructors'_Association", "predicate": "proves", "object": "the formula one constructors' association (foca) was an organization of the chassis builders (constr"}
{"subject": "math:ABCN", "predicate": "proves", "object": "1,1\u2032-azobis(cyclohexanecarbonitrile) or achn is a radical initiator. the molecular formula is ncc6h1"}
{"subject": "math:Stewart\u2013Walker_lemma", "predicate": "proves", "object": "the stewart\u2013walker lemma provides necessary and sufficient conditions for the linear perturbation of"}
{"subject": "math:Oliena", "predicate": "proves", "object": "oliena (, less correctly ;  ) is a commune in the province of nuoro, sardinia, italy.\n\nhistory\nthe t"}
{"subject": "math:Christianization_of_saints_and_feasts", "predicate": "proves", "object": "the term christianized calendar refers to feast days which are christianized reformulations of feast"}
{"subject": "math:Apeirogon", "predicate": "proves", "object": "in geometry, an apeirogon () or infinite polygon is a polygon with an infinite number of sides. apei"}
{"subject": "math:Ferrari_340", "predicate": "proves", "object": "see also the 340 f1, a formula one racer, and 340 america, a gt car\n\nthe ferrari 340 mexico was a fe"}
{"subject": "math:Clase_Z_\"Tropical\"", "predicate": "proves", "object": "clase z \"tropical\" (class z tropical) is a cuban short film directed by miguel coyula. the film is a"}
{"subject": "math:Brian_Bonner_(racing_driver)", "predicate": "proves", "object": "brian bonner (born september 22, 1959) is a former driver in the cart championship car series.\n\nbonn"}
{"subject": "math:Backward_Euler_method", "predicate": "proves", "object": "in numerical analysis and scientific computing, the backward euler method (or implicit euler method)"}
{"subject": "math:Dietrich_Stoyan", "predicate": "proves", "object": "dietrich stoyan (born 1940, germany) is a german mathematician and statistician who made contributio"}
{"subject": "math:FWT", "predicate": "proves", "object": "fwt may refer to:\n fair wear and tear, in government and aviation industries\n fast walsh\u2013hadamard tr"}
{"subject": "math:Quasi-open_map", "predicate": "proves", "object": "in topology a branch of mathematics, a quasi-open map or quasi-interior map is a function which has "}
{"subject": "math:Galactosamine", "predicate": "proves", "object": "galactosamine is a hexosamine derived from galactose with the molecular formula c6h13no5.  this amin"}
{"subject": "math:Estimation_lemma", "predicate": "proves", "object": "in mathematics the estimation lemma, also known as the  inequality, gives an upper bound for a conto"}
{"subject": "math:Total_variation_diminishing", "predicate": "proves", "object": "in numerical methods, total variation diminishing (tvd) is a property of certain discretization sche"}
{"subject": "math:Godunov's_theorem", "predicate": "proves", "object": "in numerical analysis and computational fluid dynamics, godunov's theorem \u2014 also known as godunov's "}
{"subject": "math:Local_time_(mathematics)", "predicate": "proves", "object": "in the mathematical theory of stochastic processes, local time is a stochastic process associated wi"}
{"subject": "math:Flux_limiter", "predicate": "proves", "object": "flux limiters are used in high resolution schemes \u2013 numerical schemes used to solve problems in scie"}
{"subject": "math:Crotonaldehyde", "predicate": "proves", "object": "crotonaldehyde is a chemical compound with the formula ch3ch=chcho. the compound is usually sold as "}
{"subject": "math:Butenoic_acid", "predicate": "proves", "object": "butenoic acid is any of three monocarboxylic acids with an unbranched 4-carbon chain with 3 single b"}
{"subject": "math:High-resolution_scheme", "predicate": "proves", "object": "high-resolution schemes are used in the numerical solution of partial differential equations where h"}
{"subject": "math:Block_and_bleed_manifold", "predicate": "proves", "object": "a  block and bleed manifold is a hydraulic manifold that combines one or more block/isolate valves, "}
{"subject": "math:List_of_pharmacy_organisations_in_the_United_Kingd", "predicate": "proves", "object": "this article is a list of pharmacy organisations in the united kingdom.\n\n\n\nlist\n\na\nassociation of th"}
{"subject": "math:Tradin'_Paint", "predicate": "proves", "object": "tradin' paint is the name of two separate television programs on the u.s.-based cable network speed "}
{"subject": "math:Stark_conjectures", "predicate": "proves", "object": "in number theory, the stark conjectures, introduced  by  and later  expanded by , give conjectural i"}
{"subject": "math:Holevo's_theorem", "predicate": "proves", "object": "holevo's theorem is an important limitative theorem in quantum computing, an interdisciplinary field"}
{"subject": "math:Sugar_phosphates", "predicate": "proves", "object": "sugar phosphates (sugars that have added or substituted phosphate groups) are often used in biologic"}
{"subject": "math:Jos\u00e9_Enrique_Moyal", "predicate": "proves", "object": "jos\u00e9 enrique moyal (\u200e; 1 october 1910 \u2013 22 may 1998) was an australian mathematician and mathematica"}
{"subject": "math:James_Weaver_(racing_driver)", "predicate": "proves", "object": "james brian weaver (born 4 march 1955 in london) is a british former racing driver.\n\nin 1978 weaver "}
{"subject": "math:Vanna", "predicate": "proves", "object": "vanna () is a given name that first appeared in recorded european history circa 1294. the italian me"}
{"subject": "math:Enric_Prat_de_la_Riba", "predicate": "proves", "object": "enric prat de la riba i sarr\u00e0 (; 29 november 1870 \u2013 1 august 1917) was a catalan politician, lawyer "}
{"subject": "math:Theodore_Slaman", "predicate": "proves", "object": "theodore allen slaman (born april 17, 1954) is a professor of mathematics at the university of calif"}
{"subject": "math:Robin_Hartshorne", "predicate": "proves", "object": "\n\nrobin cope hartshorne ( ; born march 15, 1938) is an american mathematician who is known for his w"}
{"subject": "math:Diphenylmethane", "predicate": "proves", "object": "diphenylmethane is an organic compound with the formula (c6h5)2ch2 (often abbreviated ). the compoun"}
{"subject": "math:Felice_Casorati_(mathematician)", "predicate": "proves", "object": "felice casorati (17 december 1835 \u2013 11 september 1890) was an italian mathematician who studied at t"}
{"subject": "math:Ferrari_F2001", "predicate": "proves", "object": "the ferrari f2001 was a highly successful formula one car that the ferrari team competed with for th"}
{"subject": "math:Divine_Service_(Lutheran)", "predicate": "proves", "object": "the divine service () is a title given to the eucharistic liturgy as used in the various lutheran ch"}
{"subject": "math:Haken", "predicate": "proves", "object": "haken may refer to:\n\n haken (band), an english progressive metal band\n haken (employment), a type of"}
{"subject": "math:Tamara_Ecclestone", "predicate": "proves", "object": "tamara ecclestone rutland (; born 28 june 1984) is a british model, socialite, television personalit"}
{"subject": "math:Analysis_Situs_(paper)", "predicate": "proves", "object": "\"analysis situs\" is a seminal mathematics paper that henri poincar\u00e9 published in 1895. poincar\u00e9 publ"}
{"subject": "math:BBGKY_hierarchy", "predicate": "proves", "object": "in statistical physics, the bbgky hierarchy (bogoliubov\u2013born\u2013green\u2013kirkwood\u2013yvon hierarchy, sometime"}
{"subject": "math:Thiosemicarbazone", "predicate": "proves", "object": "a thiosemicarbazone is an organosulfur compound with the formula h2nc(s)nhn=cr2.  many variations ex"}
{"subject": "math:Reachback", "predicate": "proves", "object": "reachback is a psychological term coined by eric berne. reachback, in berne's lexicon, is the period"}
{"subject": "math:Afterburn_(psychotherapy)", "predicate": "proves", "object": "afterburn is a psychological term coined by eric berne, who defined it as \"the period of time before"}
{"subject": "math:Resolvable_space", "predicate": "proves", "object": "in topology, a topological space is said to be resolvable if it is expressible as the union of two d"}
{"subject": "math:Toronto_space", "predicate": "proves", "object": "in mathematics, in the realm of point-set topology, a toronto space is a topological space that is h"}
{"subject": "math:Daco-Roman", "predicate": "proves", "object": "the term daco-roman describes the romanized culture of dacia under the rule of the roman empire.\n\net"}
{"subject": "math:History_of_linguistic_prescription_in_English", "predicate": "proves", "object": "prescription is the formulation of normative rules for language use. this article discusses the hist"}
{"subject": "math:\u00c9tale_topology", "predicate": "proves", "object": "in algebraic geometry, the \u00e9tale topology is a grothendieck topology on the category of schemes whic"}
{"subject": "math:9Lives", "predicate": "proves", "object": "9lives is the name of a brand name for cat food launched in 1959. better known today by its mascot, "}
{"subject": "math:Weierstrass_product_inequality", "predicate": "proves", "object": "in mathematics, the weierstrass product inequality states that for any real numbers 0\u00a0\u2264\u00a0x1, ..., xn "}
{"subject": "math:Kenneth_Kunen", "predicate": "proves", "object": "herbert kenneth kunen (august 2, 1943august 14, 2020) was a professor of mathematics at the universi"}
{"subject": "math:Effective_torque", "predicate": "proves", "object": "effective torque is often referred to as wheel torque or torque to the wheels is primarily associate"}
{"subject": "math:Cartan\u2013Kuranishi_prolongation_theorem", "predicate": "proves", "object": "given an exterior differential system defined on a manifold m, the cartan\u2013kuranishi prolongation the"}
{"subject": "math:Formazan", "predicate": "proves", "object": "the formazans are compounds of the general formula [r-n=n-c(r')=n-nh-r\"], formally derivatives of fo"}
{"subject": "math:Greigite", "predicate": "proves", "object": "greigite is an iron sulfide mineral with the chemical formula . it is the sulfur equivalent of the i"}
{"subject": "math:1,2-Dichlorobenzene", "predicate": "proves", "object": "1,2-dichlorobenzene, or orthodichlorobenzene (odcb), is an organic compound with the formula chcl. t"}
{"subject": "math:Phenylhydrazine", "predicate": "proves", "object": "phenylhydrazine is the chemical compound with the formula . it is often abbreviated as . it is also "}
{"subject": "math:Godunov's_scheme", "predicate": "proves", "object": "in numerical analysis and computational fluid dynamics, godunov's scheme is a conservative numerical"}
{"subject": "math:Full-employment_theorem", "predicate": "proves", "object": "in computer science and mathematics, a full employment theorem is a term used, often humorously, to "}
{"subject": "math:Aporphine", "predicate": "proves", "object": "aporphine is an alkaloid with the chemical formula . it is the core chemical substructure of the apo"}
{"subject": "math:Family_of_curves", "predicate": "proves", "object": "in geometry, a family of curves is a set of curves, each of which is given by a function or parametr"}
{"subject": "math:Mieke_Buchan", "predicate": "proves", "object": "mieke buchan (pronounced me-ka) is an australian television and radio presenter, writer and producer"}
{"subject": "math:Ehresmann_connection", "predicate": "proves", "object": "in differential geometry, an ehresmann connection (after the french mathematician charles ehresmann "}
{"subject": "math:Van_Hiele_model", "predicate": "proves", "object": "in mathematics education, the van hiele model is a theory that describes how students learn geometry"}
{"subject": "math:Arnold's_cat_map", "predicate": "proves", "object": "in mathematics, arnold's cat map is a chaotic map from the torus into itself, named after vladimir a"}
{"subject": "math:MUSCL_scheme", "predicate": "proves", "object": "in the study of partial differential equations, the muscl scheme is a finite volume method that can "}
{"subject": "math:Stewart's_theorem", "predicate": "proves", "object": "in geometry, stewart's theorem yields a relation between the lengths of the sides and the length of "}
{"subject": "math:Formula_One_(game)_(disambiguation)", "predicate": "proves", "object": "{{safesubst:#invoke:rfd||intdablink of redirects from incomplete disambiguation|month = october\n|day"}
{"subject": "math:Brauer\u2013Nesbitt_theorem", "predicate": "proves", "object": "in mathematics, the brauer\u2013nesbitt theorem can refer to  several different theorems proved by richar"}
{"subject": "math:Tincalconite", "predicate": "proves", "object": "tincalconite is a hydrous sodium borate mineral closely related to borax, and is a secondary mineral"}
{"subject": "math:Pure_subgroup", "predicate": "proves", "object": "in mathematics, especially in the area of algebra studying the theory of abelian groups, a pure subg"}
{"subject": "math:Algebraically_compact_group", "predicate": "proves", "object": "in mathematics, in the realm of abelian group theory, a group is said to be algebraically compact if"}
{"subject": "math:Ayrton_Senna's_Super_Monaco_GP_II", "predicate": "proves", "object": "is an arcade-style formula one racing video game developed and manufactured by sega for the sega gen"}
{"subject": "math:\u0392-Hydroxybutyric_acid", "predicate": "proves", "object": "\u03b2-hydroxybutyric acid, also known as 3-hydroxybutyric acid or bhb, is an organic compound and a beta"}
{"subject": "math:Partial_geometry", "predicate": "proves", "object": "an incidence structure  consists of points , lines , and flags  where a point  is said to be inciden"}
{"subject": "math:Method_of_lines", "predicate": "proves", "object": "the method of lines (mol, nmol, numol) is a technique for solving partial differential equations (pd"}
{"subject": "math:Arc_(projective_geometry)", "predicate": "proves", "object": "an (simple) arc in finite projective geometry is a set of points which satisfies, in an intuitive wa"}
{"subject": "math:CN-group", "predicate": "proves", "object": "in mathematics, in the area of algebra known as group theory, a more than fifty-year effort was made"}
{"subject": "math:Ben_Edwards_(commentator)", "predicate": "proves", "object": "benjamin hugh railton edwards (born 20 december 1965) is a british motor racing commentator employed"}
{"subject": "math:Heronian_mean", "predicate": "proves", "object": "in mathematics, the heronian mean h of two non-negative real numbers a and b is given by the formula"}
{"subject": "math:Reggiolo", "predicate": "proves", "object": "reggiolo (guastallese: ) is a town in the province of reggio emilia, emilia-romagna, italy. as of 31"}
{"subject": "math:Iron(II)_bromide", "predicate": "proves", "object": "iron(ii) bromide refers to inorganic compounds with the chemical formula febr2(h2o)x. the anhydrous "}
{"subject": "math:Sodium_trichloroacetate", "predicate": "proves", "object": "sodium trichloroacetate is a chemical compound with a formula of ccl3co2na. it is used to increase s"}
{"subject": "math:4-Aminophenol", "predicate": "proves", "object": "4-aminophenol (or para-aminophenol or ''p''-aminophenol) is an organic compound with the formula h2n"}
{"subject": "math:3-Aminophenol", "predicate": "proves", "object": "3-aminophenol is an organic compound with formula c6h4(nh2)(oh). it is an aromatic amine and a pheno"}
{"subject": "math:Pasch's_axiom", "predicate": "proves", "object": "in geometry, pasch's axiom is a statement in plane geometry, used implicitly by euclid, which cannot"}
{"subject": "math:Radium_bromide", "predicate": "proves", "object": "radium bromide is the bromide salt of radium, with the formula rabr2. it is produced during the proc"}
{"subject": "math:Tom_Klausler", "predicate": "proves", "object": "tom klausler (born july 14, 1945, st. paul, minnesota), is a retired american race car driver. he co"}
{"subject": "math:Mercury(I)_sulfide", "predicate": "proves", "object": "mercury(i) sulfide or mercurous sulfide is a hypothetical chemical compound of mercury and sulfur, w"}
{"subject": "math:Harmonic_polynomial", "predicate": "proves", "object": "in mathematics, in abstract algebra, a multivariate polynomial  over a field such that the laplacian"}
{"subject": "math:Radical_polynomial", "predicate": "proves", "object": "in mathematics, in the realm of abstract algebra, a radical polynomial is a multivariate polynomial "}
{"subject": "math:BriSCA", "predicate": "proves", "object": "brisca could refer to\n\n the british stock car association, this organisation manages brisca formula "}
{"subject": "math:BriSCA_Formula_1_Stock_Cars", "predicate": "proves", "object": "brisca formula 1 stock cars is a class of single-seater stock-car-racing in the uk with custom-built"}
{"subject": "math:Music_criticism", "predicate": "proves", "object": "the oxford companion to music defines music criticism as \"the intellectual activity of formulating j"}
{"subject": "math:Linear_connection", "predicate": "proves", "object": "in the mathematical field of differential geometry, the term linear connection can refer to either o"}
{"subject": "math:Perfluorohexane", "predicate": "proves", "object": "perfluorohexane (), or tetradecafluorohexane, is a fluorocarbon. it is a derivative of hexane in whi"}
{"subject": "math:Eugene_O'Riordan", "predicate": "proves", "object": "eugene o'riordan is an author and professor at the dublin city university school of mathematical sci"}
{"subject": "math:C24H40O5", "predicate": "proves", "object": "{{displaytitle:c24h40o5}}\nthe molecular formula c24h40o5 (molar mass: 408.57 g/mol) may refer to:\n\n "}
{"subject": "math:C4H4N2O2", "predicate": "proves", "object": "{{displaytitle:c4h4n2o2}}\nthe molecular formula c4h4n2o2 (molar mass: 112.09 g/mol, exact mass: 112."}
{"subject": "math:C5H5N5O", "predicate": "proves", "object": "{{displaytitle:c5h5n5o}}\nthe molecular formula c5h5n5o (molar mass: 151.13 g/mol, exact mass: 151.04"}
{"subject": "math:Lebesgue_differentiation_theorem", "predicate": "proves", "object": "in mathematics, the lebesgue differentiation theorem is a theorem of real analysis, which states tha"}
{"subject": "math:Zsigmondy's_theorem", "predicate": "proves", "object": "in number theory, zsigmondy's theorem, named after karl zsigmondy, states that if  are coprime integ"}
{"subject": "math:Blackstone's_ratio", "predicate": "proves", "object": "in criminal law, blackstone's ratio (also known as blackstone's formulation) is the idea that:\n\nas e"}
{"subject": "math:Formula_BMW", "predicate": "proves", "object": "formula bmw was a junior  racing formula for single seater cars. it was positioned at the bottom of "}
{"subject": "math:Seamanite", "predicate": "proves", "object": "seamanite, named for discoverer arthur e. seaman, is a rare manganese boron phosphate mineral with f"}
{"subject": "math:Projective_connection", "predicate": "proves", "object": "in differential geometry, a projective connection is a type of cartan connection on a differentiable"}
{"subject": "math:C10H16N5O13P3", "predicate": "proves", "object": "the molecular formula c10h16n5o13p3 (molar mass: 507.18 g/mol) may refer to:\n\n adenosine triphosphat"}
{"subject": "math:Tom_Bagley_(racing_driver)", "predicate": "proves", "object": "tom bagley (born december 3, 1939, pittsburgh, pennsylvania), is a former driver in the usac, cart c"}
{"subject": "math:API-Calculus", "predicate": "proves", "object": "api calculus is a program that solves calculus problems using operating systems within a device that"}
{"subject": "math:List_of_formulas_in_Riemannian_geometry", "predicate": "proves", "object": "this is a list of formulas encountered in riemannian geometry. einstein notation is used throughout "}
{"subject": "math:Calculus_on_manifolds", "predicate": "proves", "object": "calculus on manifolds may refer to:\ncalculus on manifolds, an undergraduate real analysis and differ"}
{"subject": "math:Paranormal_space", "predicate": "proves", "object": "in mathematics, in the realm of topology, a paranormal space  is a topological space in which every "}
{"subject": "math:Rational_representation", "predicate": "proves", "object": "in mathematics, in the representation theory of algebraic groups, a linear representation of an alge"}
{"subject": "math:Observable_subgroup", "predicate": "proves", "object": "in mathematics, in the representation theory of algebraic groups, an observable subgroup is an algeb"}
{"subject": "math:Ambient_construction", "predicate": "proves", "object": "in conformal geometry, the ambient construction refers to a construction of charles fefferman and ro"}
{"subject": "math:Bach_tensor", "predicate": "proves", "object": "in differential geometry and general relativity, the bach tensor is a trace-free tensor of rank 2 wh"}
{"subject": "math:Lerche\u2013Newberger_sum_rule", "predicate": "proves", "object": "the lerche\u2013newberger, or newberger, sum rule, discovered by b.\u00a0s.\u00a0newberger in 1982, finds the sum o"}
{"subject": "math:Mumbai_Urban_Transport_Project", "predicate": "proves", "object": "the mumbai urban transport project (mutp), is a project formulated by the mumbai metropolitan region"}
{"subject": "math:HP-28_series", "predicate": "proves", "object": "the hp-28c and hp-28s were two graphing calculators produced by hewlett-packard from 1986 to 1992. \n"}
{"subject": "math:Mechanical_singularity", "predicate": "proves", "object": "in engineering, a mechanical singularity is a position or configuration of a mechanism or a machine "}
{"subject": "math:Grosshans_subgroup", "predicate": "proves", "object": "in mathematics, in the representation theory of algebraic groups, a grosshans subgroup, named after "}
{"subject": "math:Perchloryl_fluoride", "predicate": "proves", "object": "perchloryl fluoride is a reactive gas with the chemical formula . it has a characteristic sweet odor"}
{"subject": "math:Colour_My_World_(Petula_Clark_song)", "predicate": "proves", "object": "\"colour my world\" (color my world on u.s. release) is a song written by tony hatch and jackie trent,"}
{"subject": "math:AP_Physics_C:_Electricity_and_Magnetism", "predicate": "proves", "object": "advanced placement (ap) physics c: electricity and magnetism (also known as ap physics c: e&m or ap "}
{"subject": "math:Implicational_propositional_calculus", "predicate": "proves", "object": "in mathematical logic, the implicational propositional calculus is a version of classical propositio"}
{"subject": "math:Blue_mass", "predicate": "proves", "object": "blue mass (also known as blue pill or pilula hydrargyri) was the name of a mercury-based medicine co"}
{"subject": "math:Jacobi_rotation", "predicate": "proves", "object": "in numerical linear algebra, a jacobi rotation is a rotation, qk\u2113, of a 2-dimensional linear subspac"}
{"subject": "math:Tractor_bundle", "predicate": "proves", "object": "in conformal geometry, the tractor bundle is a particular vector bundle constructed on a conformal m"}
{"subject": "math:John_L._Kelley", "predicate": "proves", "object": "john l. kelley (december 6, 1916, kansas \u2013 november 26, 1999, berkeley, california) was an american "}
{"subject": "math:Murphy_Oil_Soap", "predicate": "proves", "object": "murphy oil soap is an american brand of cleaning product that is manufactured by colgate-palmolive. "}
{"subject": "math:Conformal_connection", "predicate": "proves", "object": "in conformal differential geometry, a conformal connection is a cartan connection on an n-dimensiona"}
{"subject": "math:Canadian_Arab_Federation", "predicate": "proves", "object": "the canadian arab federation (caf) was formed in 1967 to represent the interests of arab canadians w"}
{"subject": "math:Quasitopological_space", "predicate": "proves", "object": "in mathematics, a quasi-topology on a set x is a function that associates to every compact hausdorff"}
{"subject": "math:Phenoxyethanol", "predicate": "proves", "object": "phenoxyethanol is the organic compound with the formula c6h5oc2h4oh.  it is a colorless oily liquid."}
{"subject": "math:1983_Italian_general_election", "predicate": "proves", "object": "the 1983 italian general election was held in italy on 26 june 1983. the pentapartito formula, the g"}
{"subject": "math:BJF", "predicate": "proves", "object": "bjf, bjf or bjf may refer to:\n\n benzo(j)fluoranthene, an organic compound with the chemical formula "}
{"subject": "math:Ramanan_(disambiguation)", "predicate": "proves", "object": "ramanan may mean:\nramanan (play in verse), a legendary malayalam poem by changampuzha krishna pillai"}
{"subject": "math:Joseph_Bernstein", "predicate": "proves", "object": "joseph bernstein (sometimes spelled i. n. bernshtein; ; ; born 18 april 1945) is a soviet-born israe"}
{"subject": "math:Center_of_curvature", "predicate": "proves", "object": "in geometry, the center of curvature of a curve is found at a point that is at a distance from the c"}
{"subject": "math:Holonomic_function", "predicate": "proves", "object": "in mathematics, and more specifically in analysis, a holonomic function is a smooth function of seve"}
{"subject": "math:Antiparallelogram", "predicate": "proves", "object": "in geometry, an antiparallelogram is a type of self-crossing quadrilateral. like a parallelogram, an"}
{"subject": "math:Acyclic_object", "predicate": "proves", "object": "in mathematics, in the field of homological algebra, given an abelian category \n having enough injec"}
{"subject": "math:NIFC", "predicate": "proves", "object": "nifc may refer to:\n\n national interagency fire center\n national irish freedom committee\n north of ir"}
{"subject": "math:Herbrandization", "predicate": "proves", "object": "the herbrandization of a logical formula (named after jacques herbrand) is a construction that is du"}
{"subject": "math:2009_Formula_One_World_Championship", "predicate": "proves", "object": "the 2009 fia formula one world championship was the 63rd season of fia formula one motor racing. it "}
{"subject": "math:Statehood_Day_(Lithuania)", "predicate": "proves", "object": "statehood day or coronation day is an annual public holiday in lithuania celebrated on july 6 to com"}
{"subject": "math:Nodec_space", "predicate": "proves", "object": "in topology and related areas of mathematics, a topological space  is a nodec space if every nowhere"}
{"subject": "math:James_Earl_Baumgartner", "predicate": "proves", "object": "james earl baumgartner (march 23, 1943 \u2013 december 28, 2011) was an american mathematician who worked"}
{"subject": "math:Robbins_algebra", "predicate": "proves", "object": "in abstract algebra, a robbins algebra is an algebra containing a single binary operation, usually d"}
{"subject": "math:Representation_rigid_group", "predicate": "proves", "object": "in mathematics, in the representation theory of groups, a group is said to be representation rigid i"}
{"subject": "math:2-Naphthylamine", "predicate": "proves", "object": "2-naphthylamine is one of two isomeric aminonaphthalenes, compounds with the formula c10h7nh2. it is"}
{"subject": "math:Heegner_point", "predicate": "proves", "object": "in mathematics, a heegner point is a point on a modular curve that is the image of a quadratic imagi"}
{"subject": "math:Abel_equation", "predicate": "proves", "object": "the abel equation, named after niels henrik abel, is a type of functional equation of the form\n\nor\n."}
{"subject": "math:Schr\u00f6der's_equation", "predicate": "proves", "object": "schr\u00f6der's equation, named after ernst schr\u00f6der, is a functional equation with one independent varia"}
{"subject": "math:Alx_Danielsson", "predicate": "proves", "object": "alexander \"alx\" danielsson (born 1 april 1981) is a swedish racing driver and the 2006 champion of t"}
{"subject": "math:Chloroalkyl_ether", "predicate": "proves", "object": "chloroalkyl ethers are a class of organic compounds with the general structure r-o-(ch2)n-cl, charac"}
{"subject": "math:4-Aminobiphenyl", "predicate": "proves", "object": "4-aminobiphenyl (4-apb) is an organic compound with the formula c6h5c6h4nh2. it is an amine derivati"}
{"subject": "math:Mordell\u2013Weil_group", "predicate": "proves", "object": "in arithmetic geometry, the mordell\u2013weil group is an abelian group associated to any abelian variety"}
{"subject": "math:Kat\u011btov\u2013Tong_insertion_theorem", "predicate": "proves", "object": "the kat\u011btov\u2013tong insertion theorem is a theorem of point-set topology proved independently by mirosl"}
{"subject": "math:Bisection_bandwidth", "predicate": "proves", "object": "in computer networking, if the network is bisected into two equal-sized partitions, the bisection ba"}
{"subject": "math:Cheer_(brand)", "predicate": "proves", "object": "cheer is a laundry detergent sold in the united states and canada. it is manufactured by procter & g"}
{"subject": "math:Outline_of_algebraic_structures", "predicate": "proves", "object": "in mathematics, there are many types of algebraic structures which are studied. abstract algebra is "}
{"subject": "math:Zerosumfree_monoid", "predicate": "proves", "object": "in abstract algebra, an additive monoid  is said to be zerosumfree, conical, centerless or positive "}
{"subject": "math:Pneumatic_valve_springs", "predicate": "proves", "object": "pneumatic valve springs are metal bellows filled with compressed air used as an alternative to the m"}
{"subject": "math:Grothendieck_connection", "predicate": "proves", "object": "in algebraic geometry and synthetic differential geometry, a grothendieck connection is a way of vie"}
{"subject": "math:David_of_Augsburg", "predicate": "proves", "object": "david of augsburg (early 13th century \u2013 19 november 1272) was a medieval german mystic, and a franci"}
{"subject": "math:Bretschneider", "predicate": "proves", "object": "bretschneider is a german surname. notable people with the surname include:\n\nandreas bretschneider ("}
{"subject": "math:Miroslav_Kat\u011btov", "predicate": "proves", "object": "miroslav kat\u011btov (; march 17, 1918, chembar, russia \u2013 december 15, 1995) was a czech mathematician, "}
{"subject": "math:Comtec_Racing", "predicate": "proves", "object": "comtec racing is a motor racing team based in the united kingdom. it competes in three championships"}
{"subject": "math:Hing_Tong", "predicate": "proves", "object": "hing tong (16 february 1922 \u2013 4 march 2007) was an american mathematician. he is well known for prov"}
{"subject": "math:Mengistu_Lemma", "predicate": "proves", "object": "mengistu lemma (1924\u20131988) was an ethiopian playwright and poet.\n\nbiography\nmengistu was born in har"}
{"subject": "math:Vanishing_cycle", "predicate": "proves", "object": "in mathematics, vanishing cycles are studied in singularity theory and other parts of algebraic geom"}
{"subject": "math:Hijaz_College", "predicate": "proves", "object": "hijaz college is a british muslim school located in nuneaton, warwickshire, england. hijaz college c"}
{"subject": "math:Syringol", "predicate": "proves", "object": "syringol is the organic compound with the formula ho(ch3o)2c6h3.  the molecule is a phenol, with met"}
{"subject": "math:Steinberg_representation", "predicate": "proves", "object": "in mathematics, the steinberg representation, or steinberg module or steinberg character,  denoted b"}
{"subject": "math:Robert_Steinberg", "predicate": "proves", "object": "robert steinberg (may 25, 1922, soroca, bessarabia, romania (present-day moldova) \u2013 may 25, 2014) wa"}
{"subject": "math:Miles_Reid", "predicate": "proves", "object": "miles anthony reid frs (born 30 january 1948) is a mathematician who works in algebraic geometry.\n\ne"}
{"subject": "math:Jervine", "predicate": "proves", "object": "jervine is a steroidal alkaloid with molecular formula c27h39no3 which is derived from the plant gen"}
{"subject": "math:C2H4F2", "predicate": "proves", "object": "{{displaytitle:c2h4f2}}\nthe molecular formula c2h4f2 (molar mass: 66.05 g/mol, exact mass: 66.0281 u"}
{"subject": "math:Friedrich_Schottky", "predicate": "proves", "object": "friedrich hermann schottky (24 july 1851 \u2013 12 august 1935) was a german mathematician who worked on "}
{"subject": "math:1987_PBA_season", "predicate": "proves", "object": "the 1987 pba season was the 13th season of the philippine basketball association (pba).\n\nboard of go"}
{"subject": "math:1989_PBA_season", "predicate": "proves", "object": "the 1989 pba season was the 15th season of the philippine basketball association (pba).\n\nboard of go"}
{"subject": "math:1990_PBA_season", "predicate": "proves", "object": "the 1990 pba season was the 16th season of the philippine basketball association (pba).\n\nboard of go"}
{"subject": "math:Adh\u00e9mar_Jean_Claude_Barr\u00e9_de_Saint-Venant", "predicate": "proves", "object": "adh\u00e9mar jean claude barr\u00e9 de saint-venant (; 23 august 1797 \u2013 6 january 1886) was a mechanician and "}
{"subject": "math:Indian_Council_of_Medical_Research", "predicate": "proves", "object": "the indian council of medical research (icmr), the apex body in india for the formulation, coordinat"}
{"subject": "math:Ferrari_F1-2000", "predicate": "proves", "object": "the ferrari f1-2000 was the formula one racing car with which the ferrari team competed in the 2000 "}
{"subject": "math:McLaren_MP4/8", "predicate": "proves", "object": "the mclaren mp4/8 was the formula one car with which the mclaren team competed in the 1993 formula o"}
{"subject": "math:Uwe_Storch", "predicate": "proves", "object": "uwe storch (born 12 july 1940, leopoldshall\u2013 lanzarote, 17 september 2017) was a german mathematicia"}
{"subject": "math:India_Knight", "predicate": "proves", "object": "india knight (n\u00e9e gis\u00e8le aertsens; born 14 december 1965) is a british journalist and author. she wr"}
{"subject": "math:Ramanujan's_sum", "predicate": "proves", "object": "in number theory, ramanujan's sum, usually denoted cq(n), is a function of two positive integer vari"}
{"subject": "math:Heegner", "predicate": "proves", "object": "kurt heegner was a german mathematician\nheegner points are special points on elliptic curves\nthe sta"}
{"subject": "math:Lead(IV)_acetate", "predicate": "proves", "object": "lead(iv) acetate or lead tetraacetate is an metalorganic compound with chemical formula . it is a co"}
{"subject": "math:Antimony_trifluoride", "predicate": "proves", "object": "antimony trifluoride is the inorganic compound with the formula sbf3.  sometimes called swarts' reag"}
{"subject": "math:Prasthanatrayi", "predicate": "proves", "object": "prasthanatrayi (, iast: ), literally, three sources (or axioms), refers to the three canonical texts"}
{"subject": "math:List_of_Tetrablemmidae_species", "predicate": "proves", "object": "this page lists all described species of the spider family tetrablemmidae accepted by the world spid"}
{"subject": "math:Row_equivalence", "predicate": "proves", "object": "in linear algebra, two matrices are row equivalent if one can be changed to the other by a sequence "}
{"subject": "math:Lotus_80", "predicate": "proves", "object": "the lotus 80 was a formula one car used by team lotus in . the car, designed by colin chapman, marti"}
{"subject": "math:Sesquiterpene", "predicate": "proves", "object": "sesquiterpenes are a class of terpenes that consist of three isoprene units and often have the molec"}
{"subject": "math:Monoterpene", "predicate": "proves", "object": "monoterpenes are a class of terpenes that consist of two isoprene units and have the molecular formu"}
{"subject": "math:Gold(I,III)_chloride", "predicate": "proves", "object": "gold(i,iii) chloride is a black solid with the chemical formula au4cl8. it is an example of a mixed "}
{"subject": "math:Tetraterpene", "predicate": "proves", "object": "tetraterpenes are terpenes consisting of eight isoprene units and have the molecular formula c40h64."}
{"subject": "math:Nickel(II)_nitrate", "predicate": "proves", "object": "nickel nitrate is the inorganic compound ni(no3)2 or any hydrate thereof.  the anhydrous form is not"}
{"subject": "math:SMP_(computer_algebra_system)", "predicate": "proves", "object": "symbolic manipulation program, usually called smp, was a computer algebra system designed by chris a"}
{"subject": "math:SIGSAM", "predicate": "proves", "object": "sigsam is the acm special interest group on symbolic and algebraic manipulation. it publishes the ac"}
{"subject": "math:Weil's_criterion", "predicate": "proves", "object": "in mathematics, weil's criterion is a criterion of andr\u00e9 weil for the generalized riemann hypothesis"}
{"subject": "math:Optical_equivalence_theorem", "predicate": "proves", "object": "the optical equivalence theorem in quantum optics asserts an equivalence between the expectation val"}
{"subject": "math:Glauber\u2013Sudarshan_P_representation", "predicate": "proves", "object": "the sudarshan-glauber p representation is a suggested way of writing down the phase space distributi"}
{"subject": "math:Alexander's_School", "predicate": "proves", "object": "alexander's school, at 94 duke street, glasgow, was designed by john burnet and built in 1858 at a c"}
{"subject": "math:Digital_topology", "predicate": "proves", "object": "digital topology deals with properties and features of two-dimensional (2d) or three-dimensional (3d"}
{"subject": "math:Grid_cell_topology", "predicate": "proves", "object": "the grid cell topology is studied in digital topology as part of the theoretical basis for (low-leve"}
{"subject": "math:Poset_topology", "predicate": "proves", "object": "in mathematics, the poset topology associated to a poset (s, \u2264)  is the alexandrov topology (open se"}
{"subject": "math:Ax\u2013Kochen_theorem", "predicate": "proves", "object": "the ax\u2013kochen theorem, named for james ax and simon b. kochen, states that for each positive integer"}
{"subject": "math:1998_PBA_season", "predicate": "proves", "object": "the 1998 pba season was the 24th season of the philippine basketball association (pba).\n\nboard of go"}
{"subject": "math:Sikes", "predicate": "proves", "object": "\n\npeople\n alfred c. sikes (born 1939), former chairman of the federal communications commission\n bar"}
{"subject": "math:Sextic_equation", "predicate": "proves", "object": "in algebra, a sextic (or hexic) polynomial is a polynomial of degree six. \na sextic equation is a po"}
{"subject": "math:Crooks_fluctuation_theorem", "predicate": "proves", "object": "the crooks fluctuation theorem (cft), sometimes known as the crooks equation, is an equation in stat"}
{"subject": "math:2006_Formula_BMW_UK_season", "predicate": "proves", "object": "the 2006 formula bmw uk season was the third formula bmw season based in united kingdom whose missio"}
{"subject": "math:2006_German_Grand_Prix", "predicate": "proves", "object": "the 2006 german grand prix (officially the formula 1 grosser mobil 1 preis von deutschland 2006) was"}
{"subject": "math:Botryogen", "predicate": "proves", "object": "botryogen is a hydrous magnesium sulfate mineral with formula: mgfe3+(so4)2(oh)\u00b77h2o. it is also kno"}
{"subject": "math:McLaren_MP4/1", "predicate": "proves", "object": "the mclaren mp4/1 (initially known as the mp4) was a formula one racing car produced by the mclaren "}
{"subject": "math:Renault_R26", "predicate": "proves", "object": "the renault r26 is a formula one racing car, used by the renault f1 team in the 2006 formula one sea"}
{"subject": "math:Hedwig_Courths-Mahler", "predicate": "proves", "object": "hedwig courths-mahler (), n\u00e9e ernestine friederike elisabeth mahler (february 18, 1867 in nebra (uns"}
{"subject": "math:Gold(V)_fluoride", "predicate": "proves", "object": "gold(v) fluoride is the inorganic compound with the formula au2f10. this fluoride compound features "}
{"subject": "math:Palladium(II)_nitrate", "predicate": "proves", "object": "palladium(ii) nitrate is the inorganic compound with the formula pd(no3)2.(h2o)x where x = 0 or 2.  "}
{"subject": "math:Lichido", "predicate": "proves", "object": "lichido is a 36 proof lychee liqueur made with vodka, cognac, lychee and guava essences, and white p"}
{"subject": "math:Welch\u2013Satterthwaite_equation", "predicate": "proves", "object": "in statistics and uncertainty analysis, the welch\u2013satterthwaite equation is used to calculate an app"}
{"subject": "math:Search_for_Destiny_or_the_Twenty_Seventh_Theorem_o", "predicate": "proves", "object": "search for destiny, or the twenty seventh theorem of ethics () \u2014 is a 1994 science fiction novel by "}
{"subject": "math:Mauro_Forghieri", "predicate": "proves", "object": "mauro forghieri (13 january 1935 \u2013 2 november 2022) was an italian mechanical engineer, best known f"}
{"subject": "math:Renault_R25", "predicate": "proves", "object": "the renault r25 was the formula one car entered by renault in the 2005 season. the chassis was desig"}
{"subject": "math:Nickel(II)_sulfate", "predicate": "proves", "object": "nickel(ii) sulfate, or just nickel sulfate, usually refers to the inorganic compound with the formul"}
{"subject": "math:Digenite", "predicate": "proves", "object": "digenite is a copper sulfide mineral with formula: cu9s5.  digenite is a black to dark blue opaque m"}
{"subject": "math:Full", "predicate": "proves", "object": "full may refer to:\n people with the surname full, including:\n mr. full (given name unknown), acting "}
{"subject": "math:Djurleite", "predicate": "proves", "object": "djurleite is a copper sulfide mineral of secondary origin with formula cu31s16 that crystallizes wit"}
{"subject": "math:Indeterminate_system", "predicate": "proves", "object": "in mathematics, particularly in algebra, an indeterminate system is a system of simultaneous equatio"}
{"subject": "math:Independent_equation", "predicate": "proves", "object": "an independent equation is an equation in a system of simultaneous equations which cannot be derived"}
{"subject": "math:Bellard's_formula", "predicate": "proves", "object": "bellard's formula is used to calculate the nth digit of \u03c0 in base 16.\n\nbellard's formula was discove"}
{"subject": "math:Bromo-Seltzer", "predicate": "proves", "object": "bromo-seltzer was a brand of antacid formulated to relieve pain occurring together with heartburn, u"}
{"subject": "math:Surgery_theory", "predicate": "proves", "object": "in mathematics, specifically in geometric topology, surgery theory is a collection of techniques use"}
{"subject": "math:Continuation_(disambiguation)", "predicate": "proves", "object": "continuation is a concept in computer science.\n\ncontinuation may also refer to:\n\nconcept\nanalytic co"}
{"subject": "math:Iodosobenzene", "predicate": "proves", "object": "iodosobenzene or iodosylbenzene is an organoiodine compound with the empirical formula . this colour"}
{"subject": "math:Fastest_lap", "predicate": "proves", "object": "in motorsport, the fastest lap is the quickest lap run during a race. some racing series, like formu"}
{"subject": "math:Floyd_Williams", "predicate": "proves", "object": "floyd leroy williams (born september 20, 1939) is a north american mathematician well known for his "}
{"subject": "math:Dicyanoacetylene", "predicate": "proves", "object": "dicyanoacetylene, also called carbon subnitride or but-2-ynedinitrile (iupac), is a compound of carb"}
{"subject": "math:Polyphosphazene", "predicate": "proves", "object": "polyphosphazenes include a wide range of hybrid inorganic-organic polymers with a number of differen"}
{"subject": "math:Cadmium_bromide", "predicate": "proves", "object": "cadmium bromide is the inorganic compound with the formula cdbr2.  it is a white hygroscopic solid. "}
{"subject": "math:Pararealgar", "predicate": "proves", "object": "pararealgar is an arsenic sulfide mineral with the chemical formula , also represented as ass. it fo"}
{"subject": "math:Tetrahedral_prism", "predicate": "proves", "object": "in geometry, a tetrahedral prism is a convex uniform 4-polytope. this 4-polytope has 6 polyhedral ce"}
{"subject": "math:2006_Hungarian_Grand_Prix", "predicate": "proves", "object": "the 2006 hungarian grand prix (officially the formula 1 magyar nagyd\u00edj 2006) was a formula one motor"}
{"subject": "math:2006_Turkish_Grand_Prix", "predicate": "proves", "object": "the 2006 turkish grand prix (officially the 2006 formula 1 petrol ofisi turkish grand prix) was a fo"}
{"subject": "math:2006_Italian_Grand_Prix", "predicate": "proves", "object": "the 2006 italian grand prix (officially the formula 1 gran premio vodafone d'italia 2006) was a form"}
{"subject": "math:2006_Chinese_Grand_Prix", "predicate": "proves", "object": "the 2006 chinese grand prix (officially the 2006 formula 1 sinopec chinese grand prix) was the sixte"}
{"subject": "math:2006_Japanese_Grand_Prix", "predicate": "proves", "object": "the 2006 japanese grand prix (formally known as the 2006 formula 1 fuji television japanese grand pr"}
{"subject": "math:2006_Brazilian_Grand_Prix", "predicate": "proves", "object": "the 2006 brazilian grand prix (officially the formula 1 grande pr\u00eamio do brasil 2006) was a formula "}
{"subject": "math:Claire_Voisin", "predicate": "proves", "object": "claire voisin (born 4 march 1962) is a french mathematician known for her work in algebraic geometry"}
{"subject": "math:William_Hawthorne", "predicate": "proves", "object": "sir william rede hawthorne cbe, frs, freng, fimeche, fraes,  (22 may 1913 \u2013 16 september 2011) was a"}
{"subject": "math:Ravi_Vakil", "predicate": "proves", "object": "ravi d. vakil (born february 22, 1970) is a canadian-american mathematician working in algebraic geo"}
{"subject": "math:Dodecahedral_prism", "predicate": "proves", "object": "in geometry, a dodecahedral prism is a convex uniform 4-polytope. this 4-polytope has 14 polyhedral "}
{"subject": "math:Star_domain", "predicate": "proves", "object": "in geometry, a set  in the euclidean space  is called a star domain (or star-convex set, star-shaped"}
{"subject": "math:Karna_(Chaulukya_dynasty)", "predicate": "proves", "object": "{\n\t\"type\": \"featurecollection\",\n\t\"features\": [\n\t\t{\n\t\t\t\"type\": \"feature\",\n\t\t\t\"properties\": { \"marker-"}
{"subject": "math:John_Crank", "predicate": "proves", "object": "john crank (6 february 1916 \u2013 3 october 2006) was a mathematical physicist, best known for his work "}
{"subject": "math:Cyclotomic_unit", "predicate": "proves", "object": "in mathematics, a cyclotomic unit (or circular unit) is a unit of an algebraic number field which is"}
{"subject": "math:Zassenhaus", "predicate": "proves", "object": "zassenhaus is a german surname. notable people with the surname include:\n\n hans zassenhaus (1912\u2013199"}
{"subject": "math:Bondi_k-calculus", "predicate": "proves", "object": "bondi k-calculus is a method of teaching special relativity popularised by sir hermann bondi, that h"}
{"subject": "math:Jali", "predicate": "proves", "object": "a jali or jaali (j\u0101l\u012b, meaning \"net\") is the term for a perforated stone or latticed screen, usually"}
{"subject": "math:Koide_formula", "predicate": "proves", "object": "the koide formula is an unexplained empirical equation discovered by yoshio koide in 1981. in its or"}
{"subject": "math:Kornerupine", "predicate": "proves", "object": "kornerupine (also called prismatine) is a rare boro-silicate mineral with the chemical formula . it "}
{"subject": "math:Carnot_cycle", "predicate": "proves", "object": "a carnot cycle is an ideal thermodynamic cycle proposed by french physicist sadi carnot in 1824 and "}
{"subject": "math:Calcium_bromide", "predicate": "proves", "object": "calcium bromide is the name for compounds with the chemical formula cabr2(h2o)x.  individual compoun"}
{"subject": "math:Valerophenone", "predicate": "proves", "object": "valerophenone, or butyl phenyl ketone, is an aromatic ketone with the formula c6h5c(o)c4h9.  it is a"}
{"subject": "math:1998_PBA_Centennial_Cup", "predicate": "proves", "object": "the 1998 pba centennial cup was a special tournament held by the pba during the season. the event wa"}
{"subject": "math:Gold(I)_chloride", "predicate": "proves", "object": "gold(i) chloride is a compound of gold and chlorine with the chemical formula aucl.\n\npreparation\ngol"}
{"subject": "math:Symplectic_sum", "predicate": "proves", "object": "in mathematics, specifically in symplectic geometry, the symplectic sum is a geometric modification "}
{"subject": "math:Quenstedtite", "predicate": "proves", "object": "quenstedtite is an uncommon iron sulfate mineral with chemical formula fe2(so4)3\u00b711h2o. it forms vio"}
{"subject": "math:Walther_Mayer", "predicate": "proves", "object": "walther mayer (11 march 1887 \u2013 10 september 1948) was an austrian mathematician, born in graz, austr"}
{"subject": "math:William_Gallagher_(politician)", "predicate": "proves", "object": "william james gallagher (may 13, 1875 \u2013 august 13, 1946) was a representative to the u.s. congress f"}
{"subject": "math:Kummer_sum", "predicate": "proves", "object": "in mathematics, kummer sum is the name given to certain cubic gauss sums for a prime modulus p, with"}
{"subject": "math:Niobium_nitride", "predicate": "proves", "object": "niobium nitride is a compound of niobium and nitrogen (nitride) with the chemical formula nbn. at lo"}
{"subject": "math:Honeycomb_(geometry)", "predicate": "proves", "object": "in geometry, a honeycomb is a space filling or close packing of polyhedral or higher-dimensional cel"}
{"subject": "math:Period_mapping", "predicate": "proves", "object": "in mathematics, in the field of algebraic geometry, the period mapping relates families of k\u00e4hler ma"}
{"subject": "math:Tightness", "predicate": "proves", "object": "tightness may refer to:\n\nin mathematics,\n tightness of (a collection of) measures is a concept in me"}
{"subject": "math:Regular_homotopy", "predicate": "proves", "object": "in the mathematical field of topology, a regular homotopy refers to a special kind of homotopy betwe"}
{"subject": "math:Navier\u2013Stokes_existence_and_smoothness", "predicate": "proves", "object": "the navier\u2013stokes existence and smoothness problem concerns the mathematical properties of solutions"}
{"subject": "math:Director_(Avant_album)", "predicate": "proves", "object": "director is the fourth studio album by american r&b singer avant. it was released by geffen records "}
{"subject": "math:Jos\u00e9_Adem", "predicate": "proves", "object": "jos\u00e9 adem (27 october 1921 \u2013 14 february 1991) was a mexican mathematician who worked in algebraic t"}
{"subject": "math:Jen\u0151_Hunyady", "predicate": "proves", "object": "jen\u0151 hunyady (28 april 1838 in pest \u2013 26 december 1889 in budapest) was a hungarian mathematician no"}
{"subject": "math:August_Adler", "predicate": "proves", "object": "august adler (24 january 1863, opava, austrian silesia \u2013 17 october 1923, vienna) was a czech and au"}
{"subject": "math:Apex_(geometry)", "predicate": "proves", "object": "in geometry, an apex (: apices) is the vertex which is in some sense the \"highest\" of the figure to "}
{"subject": "math:Emil_Weyr", "predicate": "proves", "object": "emil weyr (31 august / 1 september 1848 \u2013 25 january 1894) was an austrian-czech mathematician, know"}
{"subject": "math:Vanadium_hexacarbonyl", "predicate": "proves", "object": "}}\n\nvanadium hexacarbonyl is the inorganic compound with the formula v(co)6. it is a blue-black vola"}
{"subject": "math:Leopold_Gegenbauer", "predicate": "proves", "object": "leopold bernhard gegenbauer (2 february 1849, asperhofen \u2013 3 june 1903, gie\u00dfh\u00fcbl) was an austrian ma"}
{"subject": "math:Pieter_Hendrik_Schoute", "predicate": "proves", "object": "pieter hendrik schoute (21 january 1846, wormerveer \u2013 18 april 1913, groningen) was a dutch mathemat"}
{"subject": "math:J\u00f3zsef_K\u00fcrsch\u00e1k", "predicate": "proves", "object": "j\u00f3zsef k\u00fcrsch\u00e1k (14 march 1864 \u2013 26 march 1933) was a hungarian mathematician noted for his work on "}
{"subject": "math:Metamath", "predicate": "proves", "object": "metamath is a formal language and an associated computer program (a proof assistant) for archiving a"}
{"subject": "math:Mark_Preston_(businessman)", "predicate": "proves", "object": "mark andrew preston (born 7 november 1968) is an australian businessman and motorsport professional."}
{"subject": "math:F1_Digital+", "predicate": "proves", "object": "f1 digital+ (also known as just f1 digital) was the name of the enhanced world feed package for form"}
{"subject": "math:Newman's_lemma", "predicate": "proves", "object": "in mathematics, in the theory of rewriting systems, newman's lemma, also commonly called the diamond"}
{"subject": "math:Alison_Owen", "predicate": "proves", "object": "alison mary owen (born 18 february 1961) is an english film producer. her credits as a producer incl"}
{"subject": "math:Eoin_Murray", "predicate": "proves", "object": "eoin murray is an irish racing driver, born 9 december 1982. after winning the european alfa romeo 1"}
{"subject": "math:John_Stone_(martyr)", "predicate": "proves", "object": "john stone, osa was an english augustinian friar who was executed, probably in december 1539; he was"}
{"subject": "math:Aluminium_hydride", "predicate": "proves", "object": "aluminium hydride (also known as alane and alumane) is an inorganic compound with the formula alh3. "}
{"subject": "math:Euler_operator", "predicate": "proves", "object": "in mathematics euler operators may refer to:\n euler\u2013lagrange differential operators d/dx: see lagran"}
{"subject": "math:Cuspidal_representation", "predicate": "proves", "object": "in number theory, cuspidal representations are certain representations of algebraic groups that occu"}
{"subject": "math:Jan_Smit_(physicist)", "predicate": "proves", "object": "jan smit (born 16 september 1943, amsterdam) is a dutch theoretical physicist.\n\nduring his phd at uc"}
{"subject": "math:2005_NCAA_Division_I-A_football_rankings", "predicate": "proves", "object": "three human polls and one formulaic ranking make up the 2005 ncaa division i-a football rankings, in"}
{"subject": "math:Breithauptite", "predicate": "proves", "object": "breithauptite is a nickel antimonide mineral with the simple formula nisb. breithauptite is a metall"}
{"subject": "math:Aurothioglucose", "predicate": "proves", "object": "aurothioglucose, also known as gold thioglucose, is a chemical compound with the formula ausc6h11o5."}
{"subject": "math:Big_Kahuna_Burger", "predicate": "proves", "object": "big kahuna burger is a fictional chain of hawaiian-themed fast food restaurants that has appeared in"}
{"subject": "math:Ain-Diab_Circuit", "predicate": "proves", "object": "the ain-diab circuit () was a formula one road circuit built in 1957, southwest of ain-diab in moroc"}
{"subject": "math:Erd\u0151s\u2013Kac_theorem", "predicate": "proves", "object": "in number theory, the erd\u0151s\u2013kac theorem, named after paul erd\u0151s and mark kac, and also known as the "}
{"subject": "math:Step_potential", "predicate": "proves", "object": "in quantum mechanics and scattering theory, the one-dimensional step potential is an idealized syste"}
{"subject": "math:Jensen's_formula", "predicate": "proves", "object": "in the mathematical field known as complex analysis, jensen's formula, introduced by , relates the a"}
{"subject": "math:Finite_difference_method", "predicate": "proves", "object": "in numerical analysis, finite-difference methods (fdm) are a class of numerical techniques for solvi"}
{"subject": "math:2006_NCAA_Division_I_FBS_football_rankings", "predicate": "proves", "object": "three human polls and one formulaic ranking make up the 2006 ncaa division i fbs (football bowl subd"}
{"subject": "math:Berlekamp's_algorithm", "predicate": "proves", "object": "in mathematics, particularly computational algebra, berlekamp's algorithm is a well-known method for"}
{"subject": "math:Tetradecagon", "predicate": "proves", "object": "in geometry, a tetradecagon or tetrakaidecagon or 14-gon is a fourteen-sided polygon.\n\nregular tetra"}
{"subject": "math:Olli_Lounasmaa", "predicate": "proves", "object": "olli viktor lounasmaa (20 august 1930 \u2013 27 december 2002) was a finnish academician, experimental ph"}
{"subject": "math:Kempe", "predicate": "proves", "object": "kempe may refer to:\n\n kempe baronets,  a title in the baronetage of england\n kempe chain, part of th"}
{"subject": "math:Cantor\u2013Zassenhaus_algorithm", "predicate": "proves", "object": "in computational algebra, the cantor\u2013zassenhaus algorithm is a method for factoring polynomials over"}
{"subject": "math:Predisposition", "predicate": "proves", "object": "predisposition may refer to:\n\n genetic predisposition, a genetic effect which can identify individua"}
{"subject": "math:Triiron_dodecacarbonyl", "predicate": "proves", "object": "triiron dodecarbonyl is the organoiron compound with the formula fe3(co)12. it is a dark green solid"}
{"subject": "math:Gheorghe_Vr\u0103nceanu", "predicate": "proves", "object": "gheorghe vr\u0103nceanu (june 30, 1900 \u2013 april 27, 1979) was a romanian mathematician, best known for his"}
{"subject": "math:The_Naked_Proof", "predicate": "proves", "object": "the naked proof is a 2003 independent feature film that was directed by jamie hook. the film was rel"}
{"subject": "math:GARP", "predicate": "proves", "object": "garp may refer to:\n\nacronyms\n generalised axiom of revealed preference\n generic attribute registrati"}
{"subject": "math:Hans_Fitting", "predicate": "proves", "object": "hans fitting (13 november 1906 in m\u00fcnchen-gladbach (now m\u00f6nchengladbach) \u2013 15 june 1938 in k\u00f6nigsber"}
{"subject": "math:Taru_Rinne", "predicate": "proves", "object": "taru rinne (born 27 august 1968 in turku) is a finnish former professional motorcycle racer. she was"}
{"subject": "math:Yamaha_OX99-11", "predicate": "proves", "object": "the yamaha ox99-11 v12 was a sports car project designed by yamaha's subsidiary ypsilon technology a"}
{"subject": "math:Transcendental_equation", "predicate": "proves", "object": "in applied mathematics, a transcendental equation is an equation over the real (or complex) numbers "}
{"subject": "math:Sulfonyl_halide", "predicate": "proves", "object": "in inorganic chemistry, sulfonyl halide groups occur when a sulfonyl () functional group is singly b"}
{"subject": "math:Diiron_nonacarbonyl", "predicate": "proves", "object": "diiron nonacarbonyl is an organometallic compound with the formula fe2(co)9.  this metal carbonyl is"}
{"subject": "math:Dimanganese_decacarbonyl", "predicate": "proves", "object": "dimanganese decacarbonyl, which has the chemical formula mn2(co)10, is a binary bimetallic carbonyl "}
{"subject": "math:Biholomorphism", "predicate": "proves", "object": "in the mathematical theory of functions of one or more complex variables, and also in complex algebr"}
{"subject": "math:Kharitonov's_theorem", "predicate": "proves", "object": "kharitonov's theorem is a result used in control theory to assess the stability of a dynamical syste"}
{"subject": "math:Completely_positive_map", "predicate": "proves", "object": "in mathematics a positive map is a map between c*-algebras that sends positive elements to positive "}
{"subject": "math:Ammonium_dichromate", "predicate": "proves", "object": "ammonium dichromate is an inorganic compound with the formula (nh4)2cr2o7. in this compound, as in a"}
{"subject": "math:E8_manifold", "predicate": "proves", "object": "{{displaytitle:e8 manifold}}\n\nin mathematics, the e8 manifold is the unique compact, simply connecte"}
{"subject": "math:C40H56", "predicate": "proves", "object": "{{displaytitle:c40h56}}\nthe molecular formula c40h56 (molar mass: 536.87 g/mol) may refer to:\n\n caro"}
{"subject": "math:Panorama_Cotton", "predicate": "proves", "object": "is a 1994 rail shooter video game developed by success and published by sunsoft for the mega drive e"}
{"subject": "math:Super_Monaco_GP", "predicate": "proves", "object": "is a formula one racing simulation video game released by sega, originally as a sega x board arcade "}
{"subject": "math:Bernays\u2013Sch\u00f6nfinkel_class", "predicate": "proves", "object": "the bernays\u2013sch\u00f6nfinkel class (also known as bernays\u2013sch\u00f6nfinkel\u2013ramsey class) of formulas, named af"}
{"subject": "math:Ferrari_125_F1", "predicate": "proves", "object": "the 125 f1 was ferrari's first formula one car. it shared its engine with the 125 s sports racer whi"}
{"subject": "math:Ferrari_375_F1", "predicate": "proves", "object": "see also the 340 and 375 road cars sharing the same engine\n\nafter finding only modest success with t"}
{"subject": "math:Aleksandr_Nekrasov", "predicate": "proves", "object": "aleksandr ivanovich nekrasov (;  \u2013 21 may 1957) was a soviet and russian mathematician known for his"}
{"subject": "math:Alexander_Skopin", "predicate": "proves", "object": "alexander ivanovich skopin (\u0430\u043b\u0435\u043a\u0441\u0430\u043d\u0434\u0440 \u0438\u0432\u0430\u043d\u043e\u0432\u0438\u0447 \u0441\u043a\u043e\u043f\u0438\u043d) (1927\u20132003) was a russian mathematician known"}
{"subject": "math:Yaroslav_Lopatynskyi", "predicate": "proves", "object": "yaroslav borysovych lopatynskyi (1906\u20131981) was a soviet mathematician. born in tbilisi, lopatinskii"}
{"subject": "math:Ferrari_212", "predicate": "proves", "object": "ferrari used its 2.6 l (2562.51 cc) colombo v12 engine in a number of models, all called 212 for the"}
{"subject": "math:Jos\u00e9_Anast\u00e1cio_da_Cunha", "predicate": "proves", "object": "jos\u00e9 anast\u00e1cio da cunha (1744 \u2013 january 1, 1787) was a portuguese mathematician. he is best known fo"}
{"subject": "math:Steve_Masters_(DJ)", "predicate": "proves", "object": "steve masters is an american radio and club dj. he was an mtv vj in 1991, and has worked for radio s"}
{"subject": "math:Electronic_filter_topology", "predicate": "proves", "object": "electronic filter topology defines electronic filter circuits without taking note of the values of t"}
{"subject": "math:Limit_theorem", "predicate": "proves", "object": "limit theorem may refer to:\n central limit theorem, in probability theory\n edgeworth's limit theorem"}
{"subject": "math:Espolon", "predicate": "proves", "object": "el espol\u00f3n is a brand of tequila from campari america. the tequila is produced by the casa san nicol"}
{"subject": "math:Quantities_of_information", "predicate": "proves", "object": "the mathematical theory of information is based on probability theory and statistics, and measures i"}
{"subject": "math:Sandwich_compound", "predicate": "proves", "object": "in organometallic chemistry, a sandwich compound is a chemical compound featuring a metal bound by h"}
{"subject": "math:Tarski\u2013Grothendieck_set_theory", "predicate": "proves", "object": "tarski\u2013grothendieck set theory (tg, named after mathematicians alfred tarski and alexander grothendi"}
{"subject": "math:S\u00e1rosd", "predicate": "proves", "object": "s\u00e1rosd is a village in fej\u00e9r county, hungary.\n\npeople \n gyula farkas (mathematician), famous for far"}
{"subject": "math:Fold_equity", "predicate": "proves", "object": "fold equity is a concept in poker strategy that is especially important when a player becomes short-"}
{"subject": "math:Betti's_theorem", "predicate": "proves", "object": "betti's theorem,  also known as maxwell\u2013betti reciprocal work theorem, discovered by enrico betti in"}
{"subject": "math:Ordinal_notation", "predicate": "proves", "object": "in mathematical logic and set theory, an ordinal notation is a partial function mapping the set of a"}
{"subject": "math:Microlocal_analysis", "predicate": "proves", "object": "in mathematical analysis, microlocal analysis comprises techniques developed from the 1950s onwards "}
{"subject": "math:Iron(II)_carbonate", "predicate": "proves", "object": "iron(ii) carbonate, or ferrous carbonate, is a chemical compound with formula , that occurs naturall"}
{"subject": "math:Gersdorffite", "predicate": "proves", "object": "gersdorffite is a nickel arsenic sulfide mineral with formula niass. it crystallizes in the isometri"}
{"subject": "math:Dmitrii_Sintsov", "predicate": "proves", "object": "dmitrii matveevich sintsov (21 november 1867, in vyatka \u2013 28 january 1946) was a russian mathematici"}
{"subject": "math:Axiom_independence", "predicate": "proves", "object": "an axiom p is independent if there are no other axioms q such that q implies p.\n\nin many cases indep"}
{"subject": "math:Adam_Jones_(racing_driver)", "predicate": "proves", "object": "adam scott jones (born 9 august 1980, in birmingham) is a british racing driver.\n\nearly career\nhe co"}
{"subject": "math:CHAPS_detergent", "predicate": "proves", "object": "{{chembox\n| verifiedfields = changed\n| watchedfields = changed\n| verifiedrevid = 470456710\n| imagefi"}
{"subject": "math:Takeuti", "predicate": "proves", "object": "takeuti may refer to:\ntakeuti conjecture, a conjecture by gaisi takeuti\nthe japanese family name tak"}
{"subject": "math:Chocolates_El_Rey", "predicate": "proves", "object": "chocolates el rey is a venezuelan chocolate manufacturer. the company uses only premium-grade, local"}
{"subject": "math:Pefkos", "predicate": "proves", "object": "{\n  \"type\": \"featurecollection\",\n  \"features\": [\n    {\n      \"type\": \"feature\",\n      \"properties\": "}
{"subject": "math:Screen_goo", "predicate": "proves", "object": "screen goo is an acrylic paint designed by goo systems as a projection screen coating for the video "}
{"subject": "math:Owj_Tazarve", "predicate": "proves", "object": "(ya hossein) tazarve (, \"pheasant\") is an iranian-made jet training aircraft, first revealed during "}
{"subject": "math:1,3-Propanediol", "predicate": "proves", "object": "1,3-propanediol is the organic compound with the formula ch2(ch2oh)2.  this 3-carbon diol is a color"}
{"subject": "math:Transport_of_structure", "predicate": "proves", "object": "in mathematics, particularly in universal algebra and category theory, transport of structure refers"}
{"subject": "math:David_Gabai", "predicate": "proves", "object": "david gabai is an american mathematician and the hughes-rogers professor of mathematics at princeton"}
{"subject": "math:Schouten_tensor", "predicate": "proves", "object": "in riemannian geometry the schouten tensor is a second-order tensor introduced by jan arnoldus schou"}
{"subject": "math:Weyl\u2013Schouten_theorem", "predicate": "proves", "object": "in the mathematical field of differential geometry, the existence of isothermal coordinates for a (p"}
{"subject": "math:Zhoubi_Suanjing", "predicate": "proves", "object": "the zhoubi suanjing, also known by many other names, is an ancient chinese astronomical and mathemat"}
{"subject": "math:Grimm's_hydride_displacement_law", "predicate": "proves", "object": "grimm's hydride displacement law is an early hypothesis, formulated in 1925, to describe bioisosteri"}
{"subject": "math:Cevian", "predicate": "proves", "object": "in geometry, a cevian is a line segment which joins a vertex of a triangle to a point on the opposit"}
{"subject": "math:The_Ballad_of_the_Sad_Caf\u00e9", "predicate": "proves", "object": "the ballad of the sad caf\u00e9, first published in 1951, is a book by carson mccullers comprising a nove"}
{"subject": "math:Cessna_NGP", "predicate": "proves", "object": "the cessna next generation propeller aircraft (ngp) was a proof-of-concept design for a future famil"}
{"subject": "math:Glass_disease", "predicate": "proves", "object": "glass disease, also referred to as sick glass or  glass illness, is a degradation process of glass t"}
{"subject": "math:WFF", "predicate": "proves", "object": "wff may refer to: \n\nwallops flight facility, a nasa facility\nwell-formed formula, in logic, linguist"}
{"subject": "math:Tunnell's_theorem", "predicate": "proves", "object": "in number theory, tunnell's theorem gives a partial resolution to the congruent number problem, and "}
{"subject": "math:Di-tert-butylzinc", "predicate": "proves", "object": "di-tert-butylzinc is a compound with the formula znc8h18.  this compound is used as a meta activatin"}
{"subject": "math:Steve_Millen", "predicate": "proves", "object": "steve millen (born 17 february 1953) is a retired new zealand imsa race car driver. in the 1970s and"}
{"subject": "math:Scott\u2013Potter_set_theory", "predicate": "proves", "object": "an approach to the foundations of mathematics that is of relatively recent origin, scott\u2013potter set "}
{"subject": "math:Log-distance_path_loss_model", "predicate": "proves", "object": "the log-distance path loss model is a radio propagation model that predicts the path loss a signal e"}
{"subject": "math:Hata_model", "predicate": "proves", "object": "the hata model is a radio propagation model for predicting the path loss of cellular transmissions i"}
{"subject": "math:Modal_\u03bc-calculus", "predicate": "proves", "object": "in theoretical computer science, the modal \u03bc-calculus (l\u03bc, l\u03bc, sometimes just \u03bc-calculus, although t"}
{"subject": "math:All_in_the_Family_(disambiguation)", "predicate": "proves", "object": "all in the family is a 1970s american television sitcom.\n\nall in the family may also refer to:\n\n epi"}
{"subject": "math:1,2-Dibromo-3-chloropropane", "predicate": "proves", "object": "1,2-dibromo-3-chloropropane (dibromochloropropane), better known as dbcp, is the organic compound wi"}
{"subject": "math:Poisson\u2013Boltzmann_equation", "predicate": "proves", "object": "the poisson\u2013boltzmann equation is a useful equation in many settings, whether it be to understand ph"}
{"subject": "math:V._C._Morris_Gift_Shop", "predicate": "proves", "object": "the v. c. morris gift shop is located at 140 maiden lane in downtown san francisco, california, unit"}
{"subject": "math:Tungsten_hexacarbonyl", "predicate": "proves", "object": "tungsten hexacarbonyl (also called tungsten carbonyl) is an organometallic compound with the formula"}
{"subject": "math:Well-known_text_representation_of_geometry", "predicate": "proves", "object": "well-known text (wkt) is a text markup language for representing vector geometry objects. a binary e"}
{"subject": "math:Sonny's_Blues", "predicate": "proves", "object": "\"sonny's blues\" is a 1957 short story written by james baldwin, originally published in partisan rev"}
{"subject": "math:Boron_sulfide", "predicate": "proves", "object": "boron sulfide is the chemical compound with the formula b2s3.  it is a white, moisture-sensitive sol"}
{"subject": "math:James_Ax", "predicate": "proves", "object": "james burton ax (10 january 1937 \u2013 11 june 2006) was an american mathematician who made groundbreaki"}
{"subject": "math:Cryptomorphism", "predicate": "proves", "object": "in mathematics, two objects, especially systems of axioms or semantics for them, are called cryptomo"}
{"subject": "math:Terpinen-4-ol", "predicate": "proves", "object": "terpinen-4-ol is an isomer of terpineol with the chemical formula c10h18o. a primary constituent of "}
{"subject": "math:Postlethwaite", "predicate": "proves", "object": "postlethwaite is an english surname. notable people with the surname include:\n billy postlethwaite ("}
{"subject": "math:Ren\u00e9_Gateaux", "predicate": "proves", "object": "ren\u00e9 eug\u00e8ne gateaux (; 5 may 1889\u00a0\u2013 3 october 1914) was a french mathematician. he is principally kn"}
{"subject": "math:Mary_Mouser", "predicate": "proves", "object": "mary mouser (born may 9, 1996) is an american actress. she is best known for her portrayal of samant"}
{"subject": "math:Tetrablemma", "predicate": "proves", "object": "tetrablemma is a widespread genus of armored spiders first described by octavius pickard-cambridge i"}
{"subject": "math:Friendly_Fa$cism", "predicate": "proves", "object": "friendly fa$cism is a full-length album by industrial/hip hop artists consolidated, released in 1991"}
{"subject": "math:Nitrosyl_chloride", "predicate": "proves", "object": "nitrosyl chloride is the chemical compound with the formula nocl. it is a yellow gas that is commonl"}
{"subject": "math:Yoshiki_Kuramoto", "predicate": "proves", "object": "(born 1940) is a japanese physicist in the nonlinear dynamics group at kyoto university who formulat"}
{"subject": "math:Plenarium", "predicate": "proves", "object": "in the roman catholic church, plenarium or plenarius (liber) (plural, plenaria) refers to any comple"}
{"subject": "math:Williams_FW25", "predicate": "proves", "object": "the williams fw25 is a formula one car designed by williams and powered by a bmw v10 engine. the car"}
{"subject": "math:Ferric_subsulfate_solution", "predicate": "proves", "object": "ferric subsulfate solution is a styptic or hemostatic agent used after superficial skin biopsies.  f"}
{"subject": "math:Ferrari_625", "predicate": "proves", "object": "ferrari 625 may refer to three different cars created by ferrari to use the ferrari lampredi engine "}
{"subject": "math:Nicolas_Cl\u00e9ment", "predicate": "proves", "object": "nicolas cl\u00e9ment (12 january 1779 \u2013 21 november 1841) was a french physicist and chemist. \n\nhe was a "}
{"subject": "math:Duggan\u2013Schwartz_theorem", "predicate": "proves", "object": "the duggan\u2013schwartz theorem (named after john duggan and thomas schwartz) is a result about voting s"}
{"subject": "math:Proofing_(baking_technique)", "predicate": "proves", "object": "in cooking, proofing (also called proving) is a step in the preparation of yeast bread and other bak"}
{"subject": "math:Rectified_120-cell", "predicate": "proves", "object": "in geometry, a rectified 120-cell is a uniform 4-polytope formed as the rectification of the regular"}
{"subject": "math:Geodesics_as_Hamiltonian_flows", "predicate": "proves", "object": "in mathematics, the geodesic equations are second-order non-linear differential equations, and are c"}
{"subject": "math:Triterpene", "predicate": "proves", "object": "triterpenes are a class of terpenes composed of six isoprene units with the molecular formula c30h48"}
{"subject": "math:F-1_World_Grand_Prix", "predicate": "proves", "object": "f-1 world grand prix, developed by paradigm entertainment, is a formula one racing game/sim first re"}
{"subject": "math:F-1_World_Grand_Prix_II", "predicate": "proves", "object": "f-1 world grand prix ii is a formula one racing game for the nintendo 64, sega dreamcast and game bo"}
{"subject": "math:4-Chloro-o-toluidine", "predicate": "proves", "object": "4-chloro-o-toluidine (4-cot, 4-chloro-2-methylaniline) is the organic compound with the formula ch3c"}
{"subject": "math:Faug\u00e8re's_F4_and_F5_algorithms", "predicate": "proves", "object": "in computer algebra, the faug\u00e8re f4 algorithm, by jean-charles faug\u00e8re, computes the gr\u00f6bner basis o"}
{"subject": "math:Provider_model", "predicate": "proves", "object": "the provider model is a design pattern formulated by microsoft for use in the asp.net starter kits a"}
{"subject": "math:Jonathan_Loughran", "predicate": "proves", "object": "jonathan loughran is an american actor who is in most happy madison films with his friend and actor "}
{"subject": "math:Monaco_Grand_Prix_(video_game)", "predicate": "proves", "object": "monaco grand prix: racing simulation 2, also known as just monaco grand prix, is a formula one racin"}
{"subject": "math:Kelvin_equation", "predicate": "proves", "object": "the kelvin equation describes the change in vapour pressure due to a curved liquid\u2013vapor interface, "}
{"subject": "math:List_of_female_Formula_One_drivers", "predicate": "proves", "object": "this is a list of female motor racing drivers who have taken part in the formula one world champions"}
{"subject": "math:Living_Proof:_The_Farewell_Tour", "predicate": "proves", "object": "living proof: the farewell tour (also referred to as simply the farewell tour and later dubbed the n"}
{"subject": "math:Hexamminecobalt(III)_chloride", "predicate": "proves", "object": "hexaamminecobalt(iii) chloride is the chemical compound with the formula [co(nh3)6]cl3.  it is the c"}
{"subject": "math:Sommerfeld_radiation_condition", "predicate": "proves", "object": "in applied mathematics, and theoretical physics the sommerfeld radiation condition is a concept from"}
{"subject": "math:Itmam_al-Hujjah", "predicate": "proves", "object": "itmam al-hujjah (, ), meaning \"completion of proof\", is an islamic concept denoting that religious t"}
{"subject": "math:Expander_mixing_lemma", "predicate": "proves", "object": "the expander mixing lemma intuitively states that the edges of certain -regular graphs are evenly di"}
{"subject": "math:List_of_scientific_priority_disputes", "predicate": "proves", "object": "this is a list of priority disputes in science and science-related fields (such as mathematics).\n\nma"}
{"subject": "math:Double_counting", "predicate": "proves", "object": "double counting may refer to:\ndouble counting (proof technique), a method in combinatorics that prov"}
{"subject": "math:Rectified_24-cell", "predicate": "proves", "object": "in geometry, the rectified 24-cell or rectified icositetrachoron is a uniform 4-dimensional polytope"}
{"subject": "math:John_Sweller", "predicate": "proves", "object": "john sweller (born 1946) is an australian educational psychologist who is best known for formulating"}
{"subject": "math:Template_Numerical_Toolkit", "predicate": "proves", "object": "the template numerical toolkit (or tnt) is a software library for manipulating vectors and matrices "}
{"subject": "math:Flog_It!", "predicate": "proves", "object": "flog it! is a bbc television series presented by paul martin that was broadcast from 27 may 2002 to "}
{"subject": "math:Samsonite_(mineral)", "predicate": "proves", "object": "samsonite is a silver manganese antimony sulfosalt mineral with formula ag4mnsb2s6. it crystallizes "}
{"subject": "math:LU_decomposition", "predicate": "proves", "object": "in numerical analysis and linear algebra, lower\u2013upper (lu) decomposition or factorization factors a "}
{"subject": "math:Latent_growth_modeling", "predicate": "proves", "object": "latent growth modeling is a statistical technique used in the structural equation modeling (sem) fra"}
{"subject": "math:Nuke_Proof_Suit", "predicate": "proves", "object": "nuke proof suit is an ep by british hip hop artist jehst. this release reveals evidence of a new sty"}
{"subject": "math:Expander_walk_sampling", "predicate": "proves", "object": "in the mathematical discipline of graph theory, the expander walk sampling theorem intuitively state"}
{"subject": "math:IMVT", "predicate": "proves", "object": "imvt can stand for:\nthe institute for micro process engineering at the karlsruhe research center\nins"}
{"subject": "math:Bicinchoninic_acid", "predicate": "proves", "object": "bicinchoninic acid  is a weak acid composed of two carboxylated quinoline rings.\n\nbicinchoninic is a"}
{"subject": "math:Proper_forcing_axiom", "predicate": "proves", "object": "in the mathematical field of set theory, the proper forcing axiom (pfa) is a significant strengtheni"}
{"subject": "math:JAMA_(numerical_linear_algebra_library)", "predicate": "proves", "object": "jama is a software library for performing numerical linear algebra tasks created at national institu"}
{"subject": "math:Manifold_Records", "predicate": "proves", "object": "manifold records is a us-based record label and mailorder store specializing in experimental, ambien"}
{"subject": "math:The_Restless_Supermarket", "predicate": "proves", "object": "the restless supermarket is a novel by croatian-south african author ivan vladislavic, which tracks "}
{"subject": "math:Propargyl_alcohol", "predicate": "proves", "object": "propargyl alcohol, or 2-propyn-1-ol, is an organic compound with the formula c3h4o.  it is the simpl"}
{"subject": "math:F-1_Dream", "predicate": "proves", "object": "is an automobile racing arcade game released by capcom in 1988. like many other capcom arcade games "}
{"subject": "math:Acene", "predicate": "proves", "object": "in organic chemistry, the acenes or polyacenes are a class of organic compounds and polycyclic aroma"}
{"subject": "math:Kalman\u2013Yakubovich\u2013Popov_lemma", "predicate": "proves", "object": "the kalman\u2013yakubovich\u2013popov lemma is a result in system analysis and control theory which states: gi"}
{"subject": "math:Thiirane", "predicate": "proves", "object": "thiirane, more commonly known as ethylene sulfide, is the cyclic chemical compound with the formula "}
{"subject": "math:Overpressure_ammunition", "predicate": "proves", "object": "overpressure ammunition, commonly designated as +p or +p+, is small arms ammunition that has been lo"}
{"subject": "math:Microlite", "predicate": "proves", "object": "microlite was once known as a pale-yellow, reddish-brown, or black isometric mineral composed of sod"}
{"subject": "math:Bis(benzene)chromium", "predicate": "proves", "object": "bis(benzene)chromium is the organometallic compound with the formula . it is sometimes called dibenz"}
{"subject": "math:Merton's_portfolio_problem", "predicate": "proves", "object": "merton's portfolio problem is a problem in continuous-time finance and in particular intertemporal p"}
{"subject": "math:Grimm's_conjecture", "predicate": "proves", "object": "in number theory, grimm's conjecture (named after carl albert grimm, 1 april 1926 \u2013 2 january 2018) "}
{"subject": "math:Johann_Ernst_Gl\u00fcck", "predicate": "proves", "object": "johann ernst gl\u00fcck (; 10 november 1652 \u2013 5 may 1705) was a german translator and lutheran theologian"}
{"subject": "math:1967_European_Formula_Two_Championship", "predicate": "proves", "object": "the 1967 european formula two season was the 1st fia european formula two championship. it commenced"}
{"subject": "math:Steve_Robertson_(racing_driver)", "predicate": "proves", "object": "stephen robertson (born 4 july 1964) is a british former racing driver.\n\nafter spending three years "}
{"subject": "math:NRC_Next", "predicate": "proves", "object": "nrc\u2022next () was a dutch daily newspaper published in the netherlands by mediahuis. the first edition"}
{"subject": "math:COV", "predicate": "proves", "object": "cov, cov, cov or co-v may refer to:\n cash-over-valuation\n city of villains, a multiplayer online vid"}
{"subject": "math:Isohedral_figure", "predicate": "proves", "object": "in geometry, a tessellation of dimension  (a plane tiling) or higher, or a polytope of dimension  (a"}
{"subject": "math:Prisoner's_Dilemma_(novel)", "predicate": "proves", "object": "prisoner's dilemma is a 1988 novel by american author richard powers. it is the story of a dysfuncti"}
{"subject": "math:Presidential_Management_Staff_(Philippines)", "predicate": "proves", "object": "the philippines' presidential management staff is an agency attached to malaca\u00f1ang that is tasked to"}
{"subject": "math:Isotoxal_figure", "predicate": "proves", "object": "in geometry, a polytope (for example, a polygon or a polyhedron) or a tiling is isotoxal () or edge-"}
{"subject": "math:Whitehead's_point-free_geometry", "predicate": "proves", "object": "in mathematics, point-free geometry is a geometry whose primitive ontological notion is region rathe"}
{"subject": "math:Triple_product_rule", "predicate": "proves", "object": "the triple product rule, known variously as the cyclic chain rule, cyclic relation, cyclical rule or"}
{"subject": "math:Australian_Formula_2", "predicate": "proves", "object": "australian formula 2, sometimes abbreviated to af2 or anf2, is a \"wings and slicks\" formula racing c"}
{"subject": "math:Decamethylcyclopentasiloxane", "predicate": "proves", "object": "decamethylcyclopentasiloxane, also known as d5 and d5, is an organosilicon compound with the formula"}
{"subject": "math:Cubic_reciprocity", "predicate": "proves", "object": "cubic reciprocity is a collection of theorems in elementary and algebraic  number theory that state "}
{"subject": "math:Very-low-calorie_diet", "predicate": "proves", "object": "a very-low-calorie diet (vlcd), also known as semistarvation diet and crash diet, is a type of diet "}
{"subject": "math:Outline_of_computer_programming", "predicate": "proves", "object": "the following outline is provided as an overview of and topical guide to computer programming:\n\ncomp"}
{"subject": "math:Cameron_Argetsinger", "predicate": "proves", "object": "cameron argetsinger (march 1, 1921 in youngstown, ohio, united states \u2013 april 22, 2008) was a sports"}
{"subject": "math:Dirac's_theorem", "predicate": "proves", "object": "dirac's theorem may refer to:\ndirac's theorem on hamiltonian cycles, the statement that an -vertex g"}
{"subject": "math:Expansion_Team_(album)", "predicate": "proves", "object": "expansion team is the second studio album by american hip hop trio dilated peoples. it was released "}
{"subject": "math:Neighborhood_Watch_(album)", "predicate": "proves", "object": "neighborhood watch is the third studio album by american hip hop trio dilated peoples. it was releas"}
{"subject": "math:20/20_(Dilated_Peoples_album)", "predicate": "proves", "object": "20/20 is the fourth studio album by american hip hop trio dilated peoples. it was released on februa"}
{"subject": "math:Gallium_trichloride", "predicate": "proves", "object": "gallium trichloride  is the chemical compound with the formula gacl3.  solid gallium trichloride exi"}
{"subject": "math:Cantellation_(geometry)", "predicate": "proves", "object": "in geometry, a cantellation is a 2nd-order truncation in any dimension that bevels a regular polytop"}
{"subject": "math:2005_British_Formula_3_International_Series", "predicate": "proves", "object": "the 2005 british formula 3 international series was the 55th british formula 3 international series "}
{"subject": "math:Boolean_algebras_canonically_defined", "predicate": "proves", "object": "boolean algebras are models of the equational theory of two values; this definition is equivalent to"}
{"subject": "math:Glutaconic_acid", "predicate": "proves", "object": "trans-glutaconic acid is an organic compound with formula ho2cch=chch2co2h. this dicarboxylic acid e"}
{"subject": "math:Alan_Bundy", "predicate": "proves", "object": "alan richard bundy  is a professor at the school of informatics at the university of edinburgh, know"}
{"subject": "math:Sturmian_sequence", "predicate": "proves", "object": "in mathematics, a sturmian sequence may refer to:\n\n a sturmian word: a sequence with minimal complex"}
{"subject": "math:N-Acetylaspartic_acid", "predicate": "proves", "object": "n-acetylaspartic acid, or ''n''-acetylaspartate (naa), is a derivative of aspartic acid with a formu"}
{"subject": "math:LAPACK++", "predicate": "proves", "object": "lapack++, the linear algebra package in c++, is a computer software library of algorithms for numeri"}
{"subject": "math:Bagnold_formula", "predicate": "proves", "object": "the bagnold formula, named after ralph alger bagnold, relates the amount of sand moved by the wind t"}
{"subject": "math:Top_Gear_Motorsport", "predicate": "proves", "object": "top gear motorsport is a british television programme, covering various forms of motor racing, broad"}
{"subject": "math:C-theorem", "predicate": "proves", "object": "in quantum field theory the c-theorem states that there exists a positive real function, , depending"}
{"subject": "math:Peroxydisulfuric_acid", "predicate": "proves", "object": "peroxydisulfuric acid is an inorganic compound with a chemical formula . also called marshall's acid"}
{"subject": "math:Double-barrelled", "predicate": "proves", "object": "double-barrelled or double-barreled (with or without hyphens) may refer to:\n\n double-barrelled name,"}
{"subject": "math:Expansion_(geometry)", "predicate": "proves", "object": "in geometry, expansion is a polytope operation where facets are separated and moved radially apart, "}
{"subject": "math:Fulvalene", "predicate": "proves", "object": "fulvalene (bicyclopentadienylidene) is the member of the fulvalene family with the molecular formula"}
{"subject": "math:Drug_delivery", "predicate": "proves", "object": "drug delivery refers to approaches, formulations, manufacturing techniques, storage systems, and tec"}
{"subject": "math:Alfred_Arndt", "predicate": "proves", "object": "alfred arndt (1896 elbing \u2013 1976 darmstadt) was a german architect. he was a student at the bauhaus "}
{"subject": "math:353_(number)", "predicate": "proves", "object": "353 (three hundred fifty-three) is the natural number following 352 and preceding 354. it is a prime"}
{"subject": "math:Inverness_cape", "predicate": "proves", "object": "the inverness cape is a form of weatherproof outer-coat. it is notable for being sleeveless, the arm"}
{"subject": "math:Kramers\u2013Heisenberg_formula", "predicate": "proves", "object": "the kramers\u2013heisenberg dispersion formula is an expression for the cross section for scattering of a"}
{"subject": "math:Kramers'_theorem", "predicate": "proves", "object": "in quantum mechanics, the kramers' degeneracy theorem states that for every energy eigenstate of a t"}
{"subject": "math:Isolation_cabinet_(guitar)", "predicate": "proves", "object": "a guitar speaker isolation cabinet is a sound-proof enclosure that surrounds the speaker and sound-c"}
{"subject": "math:Dreya_Weber", "predicate": "proves", "object": "dreya weber is an american actress, producer, director, and aerialist.\n\ncareer\n\nweber toured with ch"}
{"subject": "math:2004_British_Formula_3_International_Series", "predicate": "proves", "object": "the 2004 formula 3 international series was the 54th british formula 3 international series season. "}
{"subject": "math:Thomas_Mutsch", "predicate": "proves", "object": "thomas mutsch (born 2 april 1979) is a german racecar driver.\n\nhis first success was a third place i"}
{"subject": "math:Gauss_sum", "predicate": "proves", "object": "in algebraic number theory, a gauss sum or gaussian sum is a particular kind of finite sum of roots "}
{"subject": "math:Judgment_proof", "predicate": "proves", "object": "in the context of contract law, debt collection and civil litigation, the term judgment proof is com"}
{"subject": "math:Beevor's_axiom", "predicate": "proves", "object": "beevor's axiom is the idea that the brain does not know muscles, only movements. in other words, the"}
{"subject": "math:Social_penetration_theory", "predicate": "proves", "object": "the social penetration theory (spt) proposes that as relationships develop, interpersonal communicat"}
{"subject": "math:Heap_(mathematics)", "predicate": "proves", "object": "in abstract algebra, a semiheap is an algebraic structure consisting of a non-empty set h with a ter"}
{"subject": "math:No-broadcasting_theorem", "predicate": "proves", "object": "in physics, the no-broadcasting theorem is a result of quantum information theory.  in the case of p"}
{"subject": "math:Timothy_Z._Keith", "predicate": "proves", "object": "timothy zook keith is an american psychologist. his research is focused on the nature and measuremen"}
{"subject": "math:Nitroethane", "predicate": "proves", "object": "nitroethane is an organic compound having the chemical formula c2h5no2.  similar in many regards to "}
{"subject": "math:Rhenium_trioxide", "predicate": "proves", "object": "rhenium trioxide or rhenium(vi) oxide is an inorganic compound with the formula reo3.  it is a red s"}
{"subject": "math:Draco_Racing", "predicate": "proves", "object": "international draco racing was a motorsport team. it was most well known for operating in the world "}
{"subject": "math:Just_for_Men", "predicate": "proves", "object": "just for men is an american-based multi-national men's care brand focusing on hair color (control gx"}
{"subject": "math:Rob_Nguyen", "predicate": "proves", "object": "rob nguyen (born 18 august 1980 in brisbane) is an australian racing car driver of vietnamese descen"}
{"subject": "math:Chase_Carey", "predicate": "proves", "object": "chase carey (born 22 november 1953) is an irish-born american executive. he is the former chief exec"}
{"subject": "math:Scheil_equation", "predicate": "proves", "object": "in metallurgy, the scheil-gulliver equation (or scheil equation) describes solute redistribution dur"}
{"subject": "math:Cantellated_5-cell", "predicate": "proves", "object": "in four-dimensional geometry, a cantellated 5-cell is a convex uniform 4-polytope, being a cantellat"}
{"subject": "math:Cantellated_24-cells", "predicate": "proves", "object": "in four-dimensional geometry, a cantellated 24-cell is a convex uniform 4-polytope, being a cantella"}
{"subject": "math:Runcinated_24-cells", "predicate": "proves", "object": "in four-dimensional geometry, a runcinated 24-cell is a convex uniform 4-polytope, being a runcinati"}
{"subject": "math:Truncated_120-cells", "predicate": "proves", "object": "in geometry, a truncated 120-cell is a uniform 4-polytope formed as the truncation of the regular 12"}
{"subject": "math:Cantellated_120-cell", "predicate": "proves", "object": "in four-dimensional geometry, a cantellated 120-cell is a convex uniform 4-polytope, being a cantell"}
{"subject": "math:Runcinated_120-cells", "predicate": "proves", "object": "in four-dimensional geometry, a runcinated 120-cell (or runcinated 600-cell) is a convex uniform 4-p"}
{"subject": "math:C7H8", "predicate": "proves", "object": "{{displaytitle:c7h8}}\nthe molecular formula c7h8 (molar mass: 92.14 g/mol) may refer to:\n\n cyclohept"}
{"subject": "math:Dye_destruction", "predicate": "proves", "object": "dye destruction or dye bleach is a photographic printing process, in which dyes embedded in the pape"}
{"subject": "math:Maryam_Mirzakhani", "predicate": "proves", "object": "maryam mirzakhani (, ; 12 may 1977\u00a0\u2013 14 july 2017) was an iranian mathematician and a professor of m"}
{"subject": "math:Dimethyl_acetylenedicarboxylate", "predicate": "proves", "object": "dimethyl acetylenedicarboxylate (dmad) is an organic compound with the formula ch3o2cc2co2ch3. it is"}
{"subject": "math:C5H12", "predicate": "proves", "object": "{{displaytitle:c5h12}}\nthe molecular formula c5h12 (molar mass: 72.15 g/mol, exact mass: 72.0939 u) "}
{"subject": "math:Kolmogorov_backward_equations_(diffusion)", "predicate": "proves", "object": "the kolmogorov backward equation (kbe) (diffusion) and its adjoint sometimes known as the kolmogorov"}
{"subject": "math:Sinusoidal_plane-wave_solutions_of_the_electromagn", "predicate": "proves", "object": "sinusoidal plane-wave solutions are particular solutions to the electromagnetic wave equation.\n\nthe "}
{"subject": "math:Ethynyl_radical", "predicate": "proves", "object": "the ethynyl radical (systematically named \u03bb3-ethyne and hydridodicarbon(c\u2014c)) is an organic compound"}
{"subject": "math:Aldonic_acid", "predicate": "proves", "object": "an aldonic acid is any of a family of sugar acids obtained by oxidation of the aldehyde functional g"}
{"subject": "math:Hexachlorophosphazene", "predicate": "proves", "object": "hexachlorophosphazene is an inorganic compound with the formula . the molecule has a cyclic, unsatur"}
{"subject": "math:Usnic_acid", "predicate": "proves", "object": "usnic acid is a naturally occurring dibenzofuran derivative found in several lichen species with the"}
{"subject": "math:Gisbert_W\u00fcstholz", "predicate": "proves", "object": "gisbert w\u00fcstholz (born june 4, 1948, in tuttlingen, germany) is a german mathematician international"}
{"subject": "math:Betti", "predicate": "proves", "object": "betti may refer to:\n\npeople\nbetti (given name)\nbetti (surname)\n\nother uses\nbetti number in topology,"}
{"subject": "math:Sebastian_Vettel", "predicate": "proves", "object": "sebastian vettel (; born 3 july 1987) is a german racing driver who competed in formula one from 200"}
{"subject": "math:Mixed_complementarity_problem", "predicate": "proves", "object": "mixed complementarity problem (mcp) is a problem formulation in mathematical programming. many well-"}
{"subject": "math:Karl_Reindler", "predicate": "proves", "object": "karl reindler (born 18 april 1985) is an australian racing driver, who has previously competed in th"}
{"subject": "math:Scuba_manifold", "predicate": "proves", "object": "a scuba manifold is a device incorporating one or more valves and one or more gas outlets with scuba"}
{"subject": "math:Spherical_bearing", "predicate": "proves", "object": "a spherical bearing is a bearing that permits rotation about a central point in two orthogonal direc"}
{"subject": "math:Thomsen\u2013Berthelot_principle", "predicate": "proves", "object": "in thermochemistry, the thomsen\u2013berthelot principle is a hypothesis in the history of chemistry whic"}
{"subject": "math:De_Gua's_theorem", "predicate": "proves", "object": "\n\nin mathematics, de gua's theorem is a three-dimensional analog of the pythagorean theorem named af"}
{"subject": "math:Rusty_Jones_(company)", "predicate": "proves", "object": "rusty jones inc. was an american chemicals company which produced aftermarket rustproofing for vehic"}
{"subject": "math:Ziebart", "predicate": "proves", "object": "ziebart international corporation is a  privately owned corporation based in troy, michigan, and is "}
{"subject": "math:Outline_of_algebra", "predicate": "proves", "object": "the following outline is provided as an overview of and topical guide to algebra:\n\nalgebra is one of"}
{"subject": "math:Outline_of_geometry", "predicate": "proves", "object": "geometry is a branch of mathematics concerned with questions of shape, size, relative position of fi"}
{"subject": "math:Anything_to_Declare?", "predicate": "proves", "object": "anything to declare? is a 1938 british crime thriller film directed by redd davis and starring john "}
{"subject": "math:Freundlich_equation", "predicate": "proves", "object": "the freundlich equation or freundlich adsorption isotherm, an adsorption isotherm, is an empirical r"}
{"subject": "math:Casio_BASIC", "predicate": "proves", "object": "casio basic is a programming language used in the casio calculators such as the classpad, prizm seri"}
{"subject": "math:Spectra", "predicate": "proves", "object": "spectra may refer to:\n\n the plural of spectrum, conditions or values that vary over a continuum, esp"}
{"subject": "math:Rae_(motorsport)", "predicate": "proves", "object": "rae was a racing car constructor. rae cars competed in one fia world championship race - the 1950 in"}
{"subject": "math:Banco_Nacional", "predicate": "proves", "object": "banco nacional was a bank from brazil. it was taken over by unibanco in 1995.\n\nthe nacional brand is"}
{"subject": "math:Danny_Watts", "predicate": "proves", "object": "danny watts (born 31 december 1979) is a retired british professional racing driver.\n\ncareer\nwatts w"}
{"subject": "math:Summit_register", "predicate": "proves", "object": "a summit book or summit register is a record of visitors to the summit of a mountain. it is usually "}
{"subject": "math:EF_hand", "predicate": "proves", "object": "the ef hand is a helix\u2013loop\u2013helix structural domain or motif found in a large family of calcium-bind"}
{"subject": "math:Geometry_(disambiguation)", "predicate": "proves", "object": "geometry is a branch of mathematics dealing with spatial relationships.\n\ngeometry or geometric may a"}
{"subject": "math:Show_Business_(novel)", "predicate": "proves", "object": "show business is a postmodern satirical novel by shashi tharoor.\n\nplot introduction\nshow business pa"}
{"subject": "math:CTL*", "predicate": "proves", "object": "ctl* is a superset of computational tree logic (ctl) and linear temporal logic (ltl). it freely comb"}
{"subject": "math:Borel\u2013Moore_homology", "predicate": "proves", "object": "in topology, borel\u2212moore homology or homology with closed support is a homology theory for locally c"}
{"subject": "math:Hydroxytyrosol", "predicate": "proves", "object": "hydroxytyrosol is an organic compound with the formula . classified as a phenylethanoid, i.e. a rela"}
{"subject": "math:Natalie_Pinkham", "predicate": "proves", "object": "natalie jane pinkham (born 20 september 1977) is a british television presenter and formula one pit "}
{"subject": "math:Norwegian_Football_Association_Gold_Watch", "predicate": "proves", "object": "the norwegian football association gold watch () is an honorary proof that's awarded to all norwegia"}
{"subject": "math:Phthalimide", "predicate": "proves", "object": "phthalimide is the organic compound with the formula c6h4(co)2nh. it is the imide derivative of phth"}
{"subject": "math:META_II", "predicate": "proves", "object": "meta ii is a domain-specific programming language for writing compilers. it was created in 1963\u20131964"}
{"subject": "math:Stephen_Schanuel", "predicate": "proves", "object": "stephen h. schanuel (14 july 1933 \u2013 21 july 2014) was an american mathematician working in the field"}
{"subject": "math:Nekrasovite", "predicate": "proves", "object": "see nekrasov cossacks for another meaning\n\nnekrasovite is a rare copper vanadium sulfosalt mineral w"}
{"subject": "math:Marc_Hynes", "predicate": "proves", "object": "marc william hynes (born 26 february 1978 in guildford) is a british racing driver, who competed for"}
{"subject": "math:Nico_Prost", "predicate": "proves", "object": "nicolas \"nico\" jean prost (born 18 august 1981) is a french professional racing driver. he most rece"}
{"subject": "math:Homotopical_connectivity", "predicate": "proves", "object": "in  algebraic topology, homotopical connectivity is a property describing a topological space based "}
{"subject": "math:Proof_of_knowledge", "predicate": "proves", "object": "in cryptography, a proof of knowledge is an interactive proof in which the prover succeeds in 'convi"}
{"subject": "math:Monaco_aan_de_Maas", "predicate": "proves", "object": "monaco aan de maas (monaco at the maas) is a formula one demonstration and a parade of international"}
{"subject": "math:MK1", "predicate": "proves", "object": "mk1 may refer to:\n\nmark 1\n mark i (disambiguation), a first version of a product, frequently militar"}
{"subject": "math:Frattini's_argument", "predicate": "proves", "object": "in group theory, a branch of mathematics, frattini's argument is an important lemma in the structure"}
{"subject": "math:Non-associative_algebra", "predicate": "proves", "object": "a non-associative algebra (or distributive algebra) is an algebra over a field where the binary mult"}
{"subject": "math:Tom_Basso", "predicate": "proves", "object": "thomas f. basso is an american hedge fund manager. he was president and founder of trendstat capital"}
{"subject": "math:Covestro", "predicate": "proves", "object": "covestro ag is a german company producing polyurethane and polycarbonate raw materials. products inc"}
{"subject": "math:Futureproof_(novel)", "predicate": "proves", "object": "futureproof is a 2006 novel by american author n. frank daniels. it is a semi-autobiographical tale "}
{"subject": "math:Skew_polygon", "predicate": "proves", "object": "in geometry, a skew polygon is a polygon whose vertices are not all coplanar. skew polygons must hav"}
{"subject": "math:Honeycomb_conjecture", "predicate": "proves", "object": "the honeycomb conjecture states that a regular hexagonal grid or honeycomb has the least total perim"}
{"subject": "math:Axiom_of_Maria", "predicate": "proves", "object": "axiom of maria is a precept in alchemy:  \"one becomes two, two becomes three, and out of the third c"}
{"subject": "math:The_Monster_Maker", "predicate": "proves", "object": "the monster maker is a 1944 science-fiction horror film starring j. carrol naish and ralph morgan. a"}
{"subject": "math:GridWars", "predicate": "proves", "object": "gridwars or gridwars 2  (stylized as |g|ridwars) is a video game inspired by bizarre creations' geom"}
{"subject": "math:Parker\u2013Sochacki_method", "predicate": "proves", "object": "in mathematics, the parker\u2013sochacki method is an algorithm for solving systems of ordinary different"}
{"subject": "math:Franz_Tost", "predicate": "proves", "object": "franz tost (born 20 january 1956 in trins, austria) is an austrian former racing driver and the curr"}
{"subject": "math:Tightness_of_measures", "predicate": "proves", "object": "in mathematics, tightness is a concept in measure theory. the intuitive idea is that a given collect"}
{"subject": "math:Prokhorov's_theorem", "predicate": "proves", "object": "in measure theory prokhorov's theorem relates tightness of measures to relative compactness (and hen"}
{"subject": "math:Chloro(triphenylphosphine)gold(I)", "predicate": "proves", "object": "chloro(triphenylphosphine)gold(i) or triphenylphosphinegold(i) chloride is a coordination complex wi"}
{"subject": "math:International_Conference_on_Rewriting_Techniques_a", "predicate": "proves", "object": "rewriting techniques and applications (rta) is an annual international academic conference on the to"}
{"subject": "math:Outline_of_calculus", "predicate": "proves", "object": "calculus is a branch of mathematics focused on limits, functions, derivatives, integrals, and infini"}
{"subject": "math:Erbium(III)_oxide", "predicate": "proves", "object": "erbium(iii) oxide is the inorganic compound with the formula .  it is a pink paramagnetic solid.  it"}
{"subject": "math:Requet\u00e9", "predicate": "proves", "object": "the requet\u00e9 (; , ) was a carlist organization, at times with paramilitary units, that operated betwe"}
{"subject": "math:GEUP", "predicate": "proves", "object": "geup is a commercial interactive geometry software program, similar to cabri geometry. originally us"}
{"subject": "math:Otto_Behaghel", "predicate": "proves", "object": "otto behaghel (may 3, 1854 in karlsruhe \u2013 october 9, 1936 in munich) was a germanist and professor i"}
{"subject": "math:Cameron\u2013Martin_theorem", "predicate": "proves", "object": "in mathematics, the cameron\u2013martin theorem or cameron\u2013martin formula (named after robert horton came"}
{"subject": "math:Exceptional_Lie_algebra", "predicate": "proves", "object": "in mathematics, an exceptional lie algebra is a complex simple lie algebra whose dynkin diagram is o"}
{"subject": "math:Regge", "predicate": "proves", "object": "regge may refer to\n\n tullio regge (1931-2014), italian physicist, developer of regge calculus and re"}
{"subject": "math:Highland_High_School_(Bakersfield,_California)", "predicate": "proves", "object": "highland high school is a public high school in bakersfield, california, united states, providing te"}
{"subject": "math:Thioureas", "predicate": "proves", "object": "in organic chemistry, thioureas are members of a family of organosulfur compounds with the formula  "}
{"subject": "math:Chloryl_fluoride", "predicate": "proves", "object": "chloryl fluoride is the chemical compound with the formula clo2f. it is commonly encountered as side"}
{"subject": "math:March_2-4-0", "predicate": "proves", "object": "the march 2-4-0 was an experimental six-wheeled formula one racing car built by the march engineerin"}
{"subject": "math:Hasubanonine", "predicate": "proves", "object": "hasubanonine is a member of the hasubanan family of alkaloids. the alkaloid with an isoquinoline sub"}
{"subject": "math:Banach\u2013Mazur_theorem", "predicate": "proves", "object": "in functional analysis, a field of mathematics, the banach\u2013mazur theorem is a theorem roughly statin"}
{"subject": "math:Pompeiu_problem", "predicate": "proves", "object": "in mathematics, the pompeiu problem is a conjecture in integral geometry, named for dimitrie pompeiu"}
{"subject": "math:Masters_of_Formula_3", "predicate": "proves", "object": "the masters of formula 3 was a formula three race held annually, usually at the circuit park zandvoo"}
{"subject": "math:FF_Developments", "predicate": "proves", "object": "ff (ferguson formula) developments limited (ffd) was a british company founded by major a.p.r. (tony"}
{"subject": "math:Hasubanan", "predicate": "proves", "object": "hasubanan is an alkaloid with the chemical formula of c16h21n.  it forms the central core of a class"}
{"subject": "math:Alan_Docking_Racing", "predicate": "proves", "object": "alan docking racing (adr) is a motor racing team based in silverstone, united kingdom. the team was "}
{"subject": "math:Helmut_Maier", "predicate": "proves", "object": "helmut maier (born 17 october 1953) is a german mathematician and professor at the university of ulm"}
{"subject": "math:Kirsch_equations", "predicate": "proves", "object": "the kirsch equations describe the elastic stresses around the hole in an infinite plate in one direc"}
{"subject": "math:Structure_theorem_for_Gaussian_measures", "predicate": "proves", "object": "in mathematics, the structure theorem for gaussian measures shows that the abstract wiener space con"}
{"subject": "math:Hewitt\u2013Savage_zero\u2013one_law", "predicate": "proves", "object": "the hewitt\u2013savage zero\u2013one law is a theorem in probability theory, similar to kolmogorov's zero\u2013one "}
{"subject": "math:Ernst_Gustav_Kirsch", "predicate": "proves", "object": "ernst gustav kirsch (september 13, 1841 \u2013 january 8, 1901) was a german engineer. he was educated at"}
{"subject": "math:Batcycle", "predicate": "proves", "object": "the batcycle, batblade, or batpod is the fictional personal motorcycle of the dc comics superhero ba"}
{"subject": "math:Identity_theorem_for_Riemann_surfaces", "predicate": "proves", "object": "in mathematics, the identity theorem for riemann surfaces is a theorem that states that a holomorphi"}
{"subject": "math:Branching_theorem", "predicate": "proves", "object": "in mathematics, the branching theorem is a theorem about riemann surfaces. intuitively, it states th"}
{"subject": "math:Clark\u2013Ocone_theorem", "predicate": "proves", "object": "in mathematics, the clark\u2013ocone theorem (also known as the clark\u2013ocone\u2013haussmann theorem or formula)"}
{"subject": "math:H-derivative", "predicate": "proves", "object": "in mathematics, the h-derivative is a notion of derivative in the study of abstract wiener spaces an"}
{"subject": "math:Essay_(philately)", "predicate": "proves", "object": "in philately, an essay is a design for a proposed stamp submitted to the postal authorities for cons"}
{"subject": "math:Fiber_(mathematics)", "predicate": "proves", "object": "in mathematics, the term fiber (us english) or fibre (british english) can have two meanings, depend"}
{"subject": "math:Street_Music_(album)", "predicate": "proves", "object": "street music is the third studio album by american rapper and likwit crew member defari. it was rele"}
{"subject": "math:1-Bromohexane", "predicate": "proves", "object": "1-bromohexane is organobromine compound with formula br(ch2)5ch3. it is a colorless liquid.\n\nsynthes"}
{"subject": "math:Bis(trimethylsilyl)mercury", "predicate": "proves", "object": "bis(trimethylsilyl)mercury is a chemical reagent with the formula (ch3)3-si-hg-si-(ch3)3.\n\nsynthesis"}
{"subject": "math:Bis(trimethylsilyl)amine", "predicate": "proves", "object": "bis(trimethylsilyl)amine (also known as hexamethyldisilazane and hmds) is an organosilicon compound "}
{"subject": "math:Hexamethyldisilane", "predicate": "proves", "object": "hexamethyldisilane (tms2) is the organosilicon compound with the formula si2(ch3)6, abbreviated  si2"}
{"subject": "math:Strictly_positive_measure", "predicate": "proves", "object": "in mathematics, strict positivity is a concept in measure theory. intuitively, a strictly positive m"}
{"subject": "math:Diisopropylamine", "predicate": "proves", "object": "diisopropylamine is a secondary amine with the chemical formula (me2ch)2nh (me = methyl). diisopropy"}
{"subject": "math:Andrei_Okounkov", "predicate": "proves", "object": "andrei yuryevich okounkov (, andrej okun'kov) (born july 26, 1969) is a russian mathematician who wo"}
{"subject": "math:Carmustine", "predicate": "proves", "object": "{{chembox\n| verifiedfields = changed\n| watchedfields = changed\n| verifiedrevid = 487305398\n| imagefi"}
{"subject": "math:Goop", "predicate": "proves", "object": "goop may refer to:\nalfons goop (1910\u20131993), liechtenstein nazi leader\nbj\u00f6rn goop (1945\u2013), swedish tr"}
{"subject": "math:Lindel\u00f6f's_lemma", "predicate": "proves", "object": "in mathematics, lindel\u00f6f's lemma is a simple but useful lemma in topology on the real line, named fo"}
{"subject": "math:Hilbert_scheme", "predicate": "proves", "object": "in algebraic geometry, a branch of mathematics, a hilbert scheme is a scheme that is the parameter s"}
{"subject": "math:Hilbert_series_and_Hilbert_polynomial", "predicate": "proves", "object": "in commutative algebra, the hilbert function, the hilbert polynomial, and the hilbert series of a gr"}
{"subject": "math:Serre's_conjecture", "predicate": "proves", "object": "serre's conjecture may refer to:\n\n quillen\u2013suslin theorem, formerly known as serre's conjecture\n ser"}
{"subject": "math:Friedrichs's_inequality", "predicate": "proves", "object": "in mathematics, friedrichs's inequality is a theorem of functional analysis, due to kurt friedrichs."}
{"subject": "math:Mason's_theorem", "predicate": "proves", "object": "mason's theorem may refer to either of the following:\n\nthe mason\u2013stothers theorem, a mathematical th"}
{"subject": "math:C10H8", "predicate": "proves", "object": "{{displaytitle:c10h8}}\nthe molecular formula c10h8 (molar mass: 128.17 g/mol, exact mass: 128.0626 u"}
{"subject": "math:Wilhelm_Grewe", "predicate": "proves", "object": "wilhelm georg grewe (16 october 1911\u00a0\u2013 11 january 2000) was a german diplomat and professor of inter"}
{"subject": "math:Alice_Baker_(veteran)", "predicate": "proves", "object": "alice baker (28 july 1898 \u2013 2 march 2006) was a british world war i service veteran. she was one of "}
{"subject": "math:BKL_singularity", "predicate": "proves", "object": "a belinski\u2013khalatnikov\u2013lifshitz (bkl) singularity is a model of the dynamic evolution of the univers"}
{"subject": "math:Locally_finite_measure", "predicate": "proves", "object": "in mathematics, a locally finite measure is a measure for which every point of the measure space has"}
{"subject": "math:Copper(I)_bromide", "predicate": "proves", "object": "copper(i) bromide is the chemical compound with the formula cubr.  this diamagnetic solid adopts a p"}
{"subject": "math:Melvin_Dresher", "predicate": "proves", "object": "melvin dresher (born dreszer; march 13, 1911 \u2013 june 4, 1992) was a polish-born american mathematicia"}
{"subject": "math:Lindenbaum's_lemma", "predicate": "proves", "object": "in mathematical logic, lindenbaum's lemma, named after adolf lindenbaum, states that any consistent "}
{"subject": "math:Cassius_Apronianus", "predicate": "proves", "object": "cassius apronianus was a roman senator who lived in the 2nd century. it has been conjectured that he"}
{"subject": "math:Comparison_theorem", "predicate": "proves", "object": "in mathematics, comparison theorems are theorems whose statement involves comparisons between variou"}
{"subject": "math:Separation_theorem", "predicate": "proves", "object": "separation theorem may refer to several theorems in different scientific fields.\n\neconomics \n fisher"}
{"subject": "math:Line_source", "predicate": "proves", "object": "a line source, as opposed to a point source, area source, or  volume source,  is a source of air, no"}
{"subject": "math:Merrill_M._Flood", "predicate": "proves", "object": "merrill meeks flood (1908 \u2013 1991) was an american mathematician, notable for developing, with melvin"}
{"subject": "math:Deadly_Outbreak", "predicate": "proves", "object": "deadly outbreak (released in certain markets as deadly takeover) is an action movie released by us-i"}
{"subject": "math:Wang_B-machine", "predicate": "proves", "object": "as presented by hao wang (1954, 1957), his basic machine b is an extremely simple computational mode"}
{"subject": "math:Baby-led_weaning", "predicate": "proves", "object": "baby-led weaning (often also referred to as blw) is an approach to adding complementary foods to a b"}
{"subject": "math:Benzylamine", "predicate": "proves", "object": "benzylamine is an organic chemical compound with the condensed structural formula c6h5ch2nh2 (someti"}
{"subject": "math:Dennis_DeTurck", "predicate": "proves", "object": "dennis m. deturck (born july 15, 1954) is an american mathematician known for his work in partial di"}
{"subject": "math:Susan_Howson_(mathematician)", "predicate": "proves", "object": "susan howson (born 1973) is a british mathematician whose research is in the fields of algebraic num"}
{"subject": "math:Trilogy_of_Terror_II", "predicate": "proves", "object": "trilogy of terror ii is a 1996 american made-for-television anthology horror film and a sequel to tr"}
{"subject": "math:William_Browder_(mathematician)", "predicate": "proves", "object": "william browder (born january 6, 1934) is an american mathematician, specializing in algebraic topol"}
{"subject": "math:Benzal_chloride", "predicate": "proves", "object": "benzal chloride is an organic compound with the formula c6h5chcl2.  this colourless liquid is a lach"}
{"subject": "math:Quasinorm", "predicate": "proves", "object": "in linear algebra, functional analysis and related areas of mathematics, a quasinorm is similar to a"}
{"subject": "math:McLaren_MP4-21", "predicate": "proves", "object": "the mclaren mp4-21 is a formula one car that competed in the 2006 formula one season. it was driven "}
{"subject": "math:Ephesia_Grammata", "predicate": "proves", "object": "ephesia grammata (, \"ephesian words\") are ancient greek magical formulas attested from the 5th or 4t"}
{"subject": "math:Gromov's_compactness_theorem_(geometry)", "predicate": "proves", "object": "in the mathematical field of metric geometry, mikhael gromov proved a fundamental compactness theore"}
{"subject": "math:Gromov's_compactness_theorem_(topology)", "predicate": "proves", "object": "in the mathematical field of symplectic topology, gromov's compactness theorem states that a sequenc"}
{"subject": "math:Toyota_TF106", "predicate": "proves", "object": "the toyota tf106/tf106b is a formula one car developed and engineered by toyota for competing in the"}
{"subject": "math:Norethisterone", "predicate": "proves", "object": "norethisterone, also known as norethindrone and sold under many brand names, is a progestin medicati"}
{"subject": "math:Alternation", "predicate": "proves", "object": "alternation or alternation may refer to:\n\n alternation (complexity), a resource in computational com"}
{"subject": "math:Length_(disambiguation)", "predicate": "proves", "object": "length in its basic meaning is the long dimension of an object.\n\nlength may also refer to:\n\nmathemat"}
{"subject": "math:Bruce_Johnstone", "predicate": "proves", "object": "bruce johnstone may refer to:\n\nbruce johnstone (musician) (born 1943), american jazz saxophonist\nbru"}
{"subject": "math:Phraselator", "predicate": "proves", "object": "the phraselator is a weatherproof handheld language translation device developed by applied data sys"}
{"subject": "math:Plastic_cement", "predicate": "proves", "object": "plastic cement may refer to:\n\ncement, in the us where it refers to certain formulations of masonry c"}
{"subject": "math:Types_of_chocolate", "predicate": "proves", "object": "chocolate is a food product made from roasted and ground cocoa pods mixed with fat (e.g. cocoa butte"}
{"subject": "math:Gnomon_(figure)", "predicate": "proves", "object": "in geometry, a gnomon is a plane figure formed by removing a similar parallelogram from a corner of "}
{"subject": "math:Gnomon_(disambiguation)", "predicate": "proves", "object": "a gnomon is the part of a sundial that casts the shadow. \n\ngnomon may also refer to:\n\n gnomon (figur"}
{"subject": "math:Pascal_Vasselon", "predicate": "proves", "object": "pascal vasselon (born 20 march 1963) is a french motorsport engineer. in the 1980s vasselon was invo"}
{"subject": "math:Kolmogorov_extension_theorem", "predicate": "proves", "object": "in mathematics, the kolmogorov extension theorem (also known as kolmogorov existence theorem, the ko"}
{"subject": "math:Mike_Coughlan", "predicate": "proves", "object": "michael coughlan (born 17 february 1959) is a british motor racing engineer and designer. he was chi"}
{"subject": "math:Basic_pitch_count_estimator", "predicate": "proves", "object": "in baseball statistics, the basic pitch count estimator is a statistic used to estimate the number o"}
{"subject": "math:List_of_misnamed_theorems", "predicate": "proves", "object": "this is a list of misnamed theorems in mathematics. it includes theorems (and lemmas, corollaries, c"}
{"subject": "math:Bangladesh_Institute_of_Development_Studies", "predicate": "proves", "object": "the bangladesh institute of development studies (bids) () is an autonomous  multi-disciplinary publi"}
{"subject": "math:Inner_regular_measure", "predicate": "proves", "object": "in mathematics, an inner regular measure is one for which the measure of a set can be approximated f"}
{"subject": "math:Varifold", "predicate": "proves", "object": "in mathematics, a varifold is, loosely speaking, a measure-theoretic generalization of the concept o"}
{"subject": "math:Magnus's_green_salt", "predicate": "proves", "object": "magnus's green salt is the inorganic compound with the formula [pt(nh3)4][ptcl4]. this salt is named"}
{"subject": "math:Rest_Proof_Clockwork", "predicate": "proves", "object": "rest proof clockwork is the third studio album by english electronic music duo plaid, released on 21"}
{"subject": "math:GH2", "predicate": "proves", "object": "gh2 may refer to:\n\n green hydrogen\n growth hormone 2\n guam highway 2 (gh-2)\n guitar hero ii\n hill gh"}
{"subject": "math:Tian_Gang", "predicate": "proves", "object": "tian gang (; born november 24, 1958) is a chinese mathematician. he is a professor of mathematics at"}
{"subject": "math:I\u017e", "predicate": "proves", "object": "i\u017e (; , ) is an island in the zadar archipelago within the croatian reaches of the adriatic sea.\n\nge"}
{"subject": "math:1,2-Propanedithiol", "predicate": "proves", "object": "1,2-propanedithiol, sometimes called 1,2-dimercaptopropane, is a thiol with the formula hschch(sh)ch"}
{"subject": "math:Introduction_to_the_mathematics_of_general_relativ", "predicate": "proves", "object": "the mathematics of general relativity is complex. in newton's theories of motion, an object's length"}
{"subject": "math:Phenylglyoxal", "predicate": "proves", "object": "phenylglyoxal is the organic compound with the formula c6h5c(o)c(o)h.  it contains both an aldehyde "}
{"subject": "math:Presentation_of_a_monoid", "predicate": "proves", "object": "in algebra, a presentation of a monoid (or a presentation of a semigroup) is a description of a mono"}
{"subject": "math:Greek_Magical_Papyri", "predicate": "proves", "object": "the greek magical papyri (latin: papyri graecae magicae, abbreviated pgm) is the name given by schol"}
{"subject": "math:Later-no-harm_criterion", "predicate": "proves", "object": "the later-no-harm criterion is a voting system criterion formulated by douglas woodall. woodall defi"}
{"subject": "math:List_of_Formula_One_Grand_Prix_winners", "predicate": "proves", "object": "formula one (f1) is the highest class of open-wheeled motor racing defined by the f\u00e9d\u00e9ration interna"}
{"subject": "math:Manifold_Destiny", "predicate": "proves", "object": "\"manifold destiny\" is an article in the new yorker written by sylvia nasar and david gruber and publ"}
{"subject": "math:Isoxazolidine", "predicate": "proves", "object": "isoxazolidine is the organic compound with the formula (ch2)3(nh)o. it is the parent of a family of "}
{"subject": "math:Faulhaber's_formula", "predicate": "proves", "object": "in mathematics, faulhaber's formula, named after the early 17th century mathematician johann faulhab"}
{"subject": "math:\u00c9lisabeth_Lutz", "predicate": "proves", "object": "\u00e9lisabeth lutz (may 14, 1914 \u2013 july 31, 2008) was a french mathematician. the nagell\u2013lutz theorem in"}
{"subject": "math:Helly's_selection_theorem", "predicate": "proves", "object": "in mathematics, helly's selection theorem (also called the helly selection principle) states that a "}
{"subject": "math:Steven_Zucker", "predicate": "proves", "object": "steven mark zucker (12 september 1949 \u2013 13 september 2019) was an american mathematician who introdu"}
{"subject": "math:James_Malton", "predicate": "proves", "object": "james malton (1761\u20131803) was an irish engraver and watercolourist, who once taught geometry and pers"}
{"subject": "math:Formulary_(model_document)", "predicate": "proves", "object": "formularies (singular formulary; latin littera(e) formularis, -ares) are medieval collections of mod"}
{"subject": "math:Formulary", "predicate": "proves", "object": "formulary may refer to:\n\nformulary (model document), ancient and medieval collections of models for "}
{"subject": "math:Shingo_Tachi", "predicate": "proves", "object": "was a japanese racing driver, the son of nobuhide tachi (\u8218 \u4fe1\u79c0), founder and head of tom's, the motor"}
{"subject": "math:Compact_embedding", "predicate": "proves", "object": "in mathematics, the notion of being compactly embedded expresses the idea that one set or space is \""}
{"subject": "math:Independence_of_clones_criterion", "predicate": "proves", "object": "in voting systems theory, the independence of clones criterion measures an election method's robustn"}
{"subject": "math:Pict_(programming_language)", "predicate": "proves", "object": "pict is a statically typed programming language, one of the very few based on the \u03c0-calculus. work o"}
{"subject": "math:Straight_skeleton", "predicate": "proves", "object": "in geometry, a straight skeleton is a method of representing a polygon by a topological skeleton. it"}
{"subject": "math:The_Medicine_(Planet_Asia_album)", "predicate": "proves", "object": "the medicine is a solo studio album by american rapper planet asia. it was released on september 19,"}
{"subject": "math:Triphenyltin_hydride", "predicate": "proves", "object": "triphenyltin hydride is the organotin compound with the formula (c6h5)3snh.  it is a white distillab"}
{"subject": "math:Sculptra", "predicate": "proves", "object": "sculptra is a proprietary formulation of poly-l-lactic acid (plla) that is an fda-approved dermal fi"}
{"subject": "math:Skorokhod's_representation_theorem", "predicate": "proves", "object": "in mathematics and statistics, skorokhod's representation theorem is a result that shows that a weak"}
{"subject": "math:Cyclopentadienyl_anion", "predicate": "proves", "object": "in chemistry, the cyclopentadienyl anion or cyclopentadienide is an aromatic species with a formula "}
{"subject": "math:Error_floor", "predicate": "proves", "object": "the error floor is a phenomenon encountered in modern iterated sparse graph-based error correcting c"}
{"subject": "math:Generalized_algebraic_data_type", "predicate": "proves", "object": "in functional programming, a generalized algebraic data type (gadt, also first-class phantom type, g"}
{"subject": "math:L\u00e9vy's_modulus_of_continuity_theorem", "predicate": "proves", "object": "l\u00e9vy's modulus of continuity theorem is a theorem that gives a result about an almost sure behaviour"}
{"subject": "math:Polar_curve", "predicate": "proves", "object": "in algebraic geometry, the first polar, or simply polar of an algebraic plane curve c of degree n wi"}
{"subject": "math:Linear_(disambiguation)", "predicate": "proves", "object": "linear is used to describe linearity in mathematics.\n\nlinear may also refer to:\n\nmathematics \n linea"}
{"subject": "math:Kepler\u2013Bouwkamp_constant", "predicate": "proves", "object": "in plane geometry, the kepler\u2013bouwkamp constant (or polygon inscribing constant) is obtained as a li"}
{"subject": "math:Manganese(II)_sulfate", "predicate": "proves", "object": "manganese(ii) sulfate usually refers to the inorganic compound with the formula mnso4\u00b7h2o. this pale"}
{"subject": "math:Arkady_Migdal", "predicate": "proves", "object": "arkady beynusovich (benediktovich) migdal (; lida, russian empire, 11 march 1911 \u2013 princeton, united"}
{"subject": "math:Ab_initio_multiple_spawning", "predicate": "proves", "object": "the ab initio multiple spawning, or aims, method is a time-dependent formulation of quantum chemistr"}
{"subject": "math:Mikhail_Aleshin", "predicate": "proves", "object": "mikhail petrovich aleshin (, born 22 may 1987) is a russian professional racing driver and the 2010 "}
{"subject": "math:Langlands_dual_group", "predicate": "proves", "object": "in representation theory, a branch of mathematics, the langlands dual lg of a reductive algebraic gr"}
{"subject": "math:Karplus_equation", "predicate": "proves", "object": "the karplus equation, named after martin karplus, describes the correlation between 3j-coupling cons"}
{"subject": "math:Vitaly_Petrov", "predicate": "proves", "object": "vitaly aleksandrovich petrov (; born 8 september 1984) is a russian racing driver who drove in formu"}
{"subject": "math:Bitruncation", "predicate": "proves", "object": "in geometry, a bitruncation is an operation on regular polytopes. it represents a truncation beyond "}
{"subject": "math:Runcination", "predicate": "proves", "object": "in geometry, runcination is an operation that cuts a regular polytope (or honeycomb) simultaneously "}
{"subject": "math:Gleason's_theorem", "predicate": "proves", "object": "in mathematical physics, gleason's theorem shows that the rule one uses to calculate probabilities i"}
{"subject": "math:Grassmann's_laws_(color_science)", "predicate": "proves", "object": "grassmann's laws describe empirical results about how the perception of mixtures of colored lights ("}
{"subject": "math:Fire-retardant_fabric", "predicate": "proves", "object": "fire-retardant fabrics are textiles that are more resistant to fire than others through chemical tre"}
{"subject": "math:L-group", "predicate": "proves", "object": "in mathematics, l-group or l-group may refer to the following groups:\n the langlands dual, lg, of a "}
{"subject": "math:Ribbon_Hopf_algebra", "predicate": "proves", "object": "a ribbon hopf algebra  is a quasitriangular hopf algebra which possess an invertible central element"}
{"subject": "math:Ammonium_tetrathiomolybdate", "predicate": "proves", "object": "ammonium tetrathiomolybdate is the chemical compound with the formula (nh4)2mos4. this bright red am"}
{"subject": "math:FKS", "predicate": "proves", "object": "fks may refer to:\n\nsport \n fk sarajevo, a bosnian football club\n fk smederevo 1924, a serbian footba"}
{"subject": "math:Swedish_bitters", "predicate": "proves", "object": "swedish bitters, also called swedish tincture, is a bitter and a traditional herbal tonic, the use o"}
{"subject": "math:Type_63_AT_mine", "predicate": "proves", "object": "the type 63 at mine is a large circular japanese minimum metal anti-tank blast mine. the mine does n"}
{"subject": "math:F\u00e1ry's_theorem", "predicate": "proves", "object": "in the mathematical field of graph theory, f\u00e1ry's theorem states that any simple, planar graph can b"}
{"subject": "math:Calculus_of_predispositions", "predicate": "proves", "object": "calculus of predispositions is a basic part of predispositioning theory and belongs to the indetermi"}
{"subject": "math:Chitrabhanu_(mathematician)", "predicate": "proves", "object": "chitrabhanu (; ) was a mathematician of the kerala school and a student of nilakantha somayaji. he w"}
{"subject": "math:Bob_Bell_(motorsport)", "predicate": "proves", "object": "robert charles bell (born 10 april 1958) is a former formula one engineer and technical director, be"}
{"subject": "math:Poncelet_point", "predicate": "proves", "object": "in geometry, the poncelet point of four given points is defined as follows:\n\nlet  be four points in "}
{"subject": "math:Pivalic_acid", "predicate": "proves", "object": "pivalic acid is a carboxylic acid with a molecular formula of (ch3)3cco2h. this colourless, odiferou"}
{"subject": "math:Product_metric", "predicate": "proves", "object": "in mathematics, a product metric is a metric on the cartesian product of finitely many metric spaces"}
{"subject": "math:Barium_sulfide", "predicate": "proves", "object": "barium sulfide is the inorganic compound with the formula bas.  bas is the barium compound produced "}
{"subject": "math:Proactionary_principle", "predicate": "proves", "object": "the proactionary principle is an ethical and decision-making principle formulated by the transhumani"}
{"subject": "math:Malliavin_derivative", "predicate": "proves", "object": "in mathematics, the malliavin derivative is a notion of derivative in the malliavin calculus. intuit"}
{"subject": "math:Cesaro", "predicate": "proves", "object": "cesaro may refer to:\n\n cesar\u00f2, a town in italy\n claudio castagnoli (born 1980), a swiss professional"}
{"subject": "math:VS-JAP_mine", "predicate": "proves", "object": "the vs-jap (valsella jumping anti-personnel) is an italian bounding anti-personnel mine. it is the l"}
{"subject": "math:5-polytope", "predicate": "proves", "object": "in geometry, a five-dimensional polytope (or 5-polytope) is a polytope in five-dimensional space, bo"}
{"subject": "math:Uniform_8-polytope", "predicate": "proves", "object": "in eight-dimensional geometry, an eight-dimensional polytope or 8-polytope is a polytope contained b"}
{"subject": "math:Uniform_7-polytope", "predicate": "proves", "object": "in seven-dimensional geometry, a 7-polytope is a polytope contained by 6-polytope facets. each 5-pol"}
{"subject": "math:Uniform_9-polytope", "predicate": "proves", "object": "in nine-dimensional geometry, a nine-dimensional polytope or 9-polytope is a polytope contained by 8"}
{"subject": "math:Uniform_6-polytope", "predicate": "proves", "object": "in six-dimensional geometry, a uniform 6-polytope is a six-dimensional uniform polytope. a uniform p"}
{"subject": "math:Root_datum", "predicate": "proves", "object": "in mathematical group theory, the root datum of a connected split reductive algebraic group over a f"}
{"subject": "math:CUTEr", "predicate": "proves", "object": "cuter (constrained and unconstrained testing environment, revisited) is an open source testing envir"}
{"subject": "math:2-Bromopropane", "predicate": "proves", "object": "2-bromopropane, also known as isopropyl bromide and 2-propyl bromide, is the halogenated hydrocarbon"}
{"subject": "math:1,3-Dibromopropane", "predicate": "proves", "object": "1,3-dibromopropane is an organobromine compound with the formula (ch2)3br2. it is a colorless liquid"}
{"subject": "math:1,2-Dibromopropane", "predicate": "proves", "object": "1,2-dibromopropane, also known as propylene dibromide, is an organic compound with the formula chchb"}
{"subject": "math:Patriarch_Parthenius_III_of_Alexandria", "predicate": "proves", "object": "parthenius iii (30 november 1919 \u2013 23 july 1996) served as the greek orthodox patriarch of alexandri"}
{"subject": "math:Wieferich_pair", "predicate": "proves", "object": "in mathematics, a wieferich pair is a pair of prime numbers p and q that satisfy\n\npq \u2212 1 \u2261 1 (mod q2"}
{"subject": "math:Wiener\u2013Ikehara_theorem", "predicate": "proves", "object": "the wiener\u2013ikehara theorem is a tauberian theorem introduced by . it follows from wiener's tauberian"}
{"subject": "math:Geometria", "predicate": "proves", "object": "the term geometria may refer to:\n\n geometry, a branch of mathematics\n geometria (film), a 1987 short"}
{"subject": "math:Almitrine", "predicate": "proves", "object": "{{drugbox\n| verifiedfields = changed\n| verifiedrevid = 477318381\n| iupac_name = 6-[4-[bis(4-fluoroph"}
{"subject": "math:Demihypercube", "predicate": "proves", "object": "in geometry, demihypercubes (also called n-demicubes, n-hemicubes, and half measure polytopes) are a"}
{"subject": "math:Bass_diffusion_model", "predicate": "proves", "object": "the bass model or bass diffusion model was developed by frank bass.  it consists of a simple differe"}
{"subject": "math:Motivic_integration", "predicate": "proves", "object": "motivic integration is a notion in algebraic geometry that was introduced by maxim kontsevich in 199"}
{"subject": "math:Galahad_library", "predicate": "proves", "object": "the galahad library is a thread-safe library of packages for the solution of mathematical optimizati"}
{"subject": "math:Uniform_polytope", "predicate": "proves", "object": "in geometry, a uniform polytope of dimension three or higher is a vertex-transitive polytope bounded"}
{"subject": "math:Markus_Rost", "predicate": "proves", "object": "markus rost is a german mathematician who works at the intersection of topology and algebra. he was "}
{"subject": "math:Ferroin", "predicate": "proves", "object": "ferroin is the chemical compound with the formula [fe(o-phen)3]so4, where o-phen is an abbreviation "}
{"subject": "math:Lib.ru", "predicate": "proves", "object": "lib.ru, also known as maksim moshkow's library (, started to operate in november 1994) is the oldest"}
{"subject": "math:Pure_spinor", "predicate": "proves", "object": "in the domain of mathematics known as representation theory, pure spinors (or simple spinors) are sp"}
{"subject": "math:Disintegration_theorem", "predicate": "proves", "object": "in mathematics, the disintegration theorem is a result in measure theory and probability theory. it "}
{"subject": "math:Sec-Butyllithium", "predicate": "proves", "object": "sec-butyllithium is an organometallic compound with the formula ch3chlich2ch3, abbreviated sec-buli "}
{"subject": "math:Langer_correction", "predicate": "proves", "object": "the langer correction, named after the mathematician rudolf ernest langer, is a correction to the wk"}
{"subject": "math:Cusp_(singularity)", "predicate": "proves", "object": "in mathematics, a cusp, sometimes called spinode in old texts, is a point on a curve where a moving "}
{"subject": "math:Counter-majoritarian_difficulty", "predicate": "proves", "object": "the counter-majoritarian difficulty (sometimes counter-majoritarian dilemma) is a perceived problem "}
{"subject": "math:T-AB-1_AP_mine", "predicate": "proves", "object": "the t-ab-1 or map nm t-ab-1 (mina anti-pessoal n\u0101o-magn\u00e9tica) is a small, cylindrical, fully waterpr"}
{"subject": "math:SBP-04_and_SBP-07_mines", "predicate": "proves", "object": "the sbp-04 and sbp-07 are two circular italian minimum metal anti-tank blast mines. the mines are ve"}
{"subject": "math:Pygmy_round-eared_bat", "predicate": "proves", "object": "the pygmy round-eared bat (lophostoma brasiliense) is a bat species from south and central america.\n"}
{"subject": "math:Courant_bracket", "predicate": "proves", "object": "in a field of mathematics known as differential geometry, the courant bracket is a generalization of"}
{"subject": "math:Schmidts's_big-eared_bat", "predicate": "proves", "object": "schmidts's big-eared bat (micronycteris schmidtorum) is a bat species from south and central america"}
{"subject": "math:Triphenylphosphine_oxide", "predicate": "proves", "object": "triphenylphosphine oxide (often abbreviated tppo) is the organophosphorus compound with the formula "}
{"subject": "math:Restylane", "predicate": "proves", "object": "restylane is the trade name for a range of injectable fillers with a specific formulation of non-ani"}
{"subject": "math:End_(topology)", "predicate": "proves", "object": "in topology, a branch of mathematics, the ends of a topological space are, roughly speaking, the con"}
{"subject": "math:Vertex_(curve)", "predicate": "proves", "object": "in the geometry of plane curves, a vertex is a point of where the first derivative of curvature is z"}
{"subject": "math:Zahorski_theorem", "predicate": "proves", "object": "in mathematics, zahorski's theorem is a theorem of real analysis. it states that a necessary and suf"}
{"subject": "math:Hexamethyldisiloxane", "predicate": "proves", "object": "hexamethyldisiloxane (hmdso or mm) is an organosilicon compound with the formula o[si(ch3)3]2.  this"}
{"subject": "math:Generalized_complex_structure", "predicate": "proves", "object": "in the field of mathematics known as differential geometry, a generalized complex structure is a pro"}
{"subject": "math:B\u00e9la_Ker\u00e9kj\u00e1rt\u00f3", "predicate": "proves", "object": "b\u00e9la ker\u00e9kj\u00e1rt\u00f3 (1 october 1898, in budapest \u2013 26 june 1946, in gy\u00f6ngy\u00f6s) was a hungarian mathematic"}
{"subject": "math:Positions_(book)", "predicate": "proves", "object": "positions is a 1972 book by the french philosopher jacques derrida.\n\nsummary\npositions consists of a"}
{"subject": "math:2004_NCAA_Division_I-A_football_rankings", "predicate": "proves", "object": "two human polls and one formulaic ranking make up the 2004 ncaa division i-a football rankings. unli"}
{"subject": "math:Raid_(military)", "predicate": "proves", "object": "raiding, also known as depredation, is a military tactic or operational warfare \"smash and grab\" mis"}
{"subject": "math:Equating_coefficients", "predicate": "proves", "object": "in mathematics, the method of equating the coefficients is a way of solving a functional equation of"}
{"subject": "math:Geodesic_manifold", "predicate": "proves", "object": "in mathematics, a complete manifold (or geodesically complete manifold)  is a (pseudo-) riemannian m"}
{"subject": "math:Goldman\u2013Hodgkin\u2013Katz_flux_equation", "predicate": "proves", "object": "the goldman\u2013hodgkin\u2013katz flux equation (or ghk flux equation or ghk current density equation) descri"}
{"subject": "math:Cyclol", "predicate": "proves", "object": "the cyclol hypothesis is the now discredited first structural model of a folded, globular protein, f"}
{"subject": "math:Separable_partial_differential_equation", "predicate": "proves", "object": "a separable partial differential equation is one that can be broken into a set of separate equations"}
{"subject": "math:1964_British_Formula_Three_season", "predicate": "proves", "object": "the 1964 british formula three season was the 14th season of the british formula 3 season. jackie st"}
{"subject": "math:Vertex_normal", "predicate": "proves", "object": "in the geometry of computer graphics, a vertex normal at a vertex of a polyhedron is a directional v"}
{"subject": "math:Dibutyl_phthalate", "predicate": "proves", "object": "dibutyl phthalate (dbp) is an organic compound which is commonly used as a plasticizer because of it"}
{"subject": "math:Clifford_Taubes", "predicate": "proves", "object": "clifford henry taubes (born february 21, 1954) is the william petschek professor of mathematics at h"}
{"subject": "math:Lorenzenite", "predicate": "proves", "object": "lorenzenite is a rare sodium titanium silicate mineral with the formula na2ti2si2o9 it is an orthorh"}
{"subject": "math:Fire_resistance", "predicate": "proves", "object": "fire resistance may refer to:\n\n fire resistance (ecology), a quality of plants that are harmed but n"}
{"subject": "math:Secondary_calculus_and_cohomological_physics", "predicate": "proves", "object": "in mathematics, secondary calculus is a proposed expansion of classical differential calculus on man"}
{"subject": "math:Robertsite", "predicate": "proves", "object": "robertsite, ca3(mn3+)4[(oh)3|  (po4)2]2\u00b73(h2o) (alternatively formulated ca2(mn3(po4)3o2)(h2o)3), is"}
{"subject": "math:Timelike_homotopy", "predicate": "proves", "object": "on a lorentzian manifold, certain curves are distinguished as timelike. a timelike homotopy between "}
{"subject": "math:The_Last_Theorem", "predicate": "proves", "object": "the last theorem is a 2008 science fiction novel by arthur\u00a0c. clarke and frederik pohl. it was first"}
{"subject": "math:Dilemma_story", "predicate": "proves", "object": "a dilemma story (also dilemma tale) is an african story-form intended to provoke discussion. they ar"}
{"subject": "math:Aeroacoustic_analogy", "predicate": "proves", "object": "acoustic analogies are applied mostly in numerical aeroacoustics to reduce aeroacoustic sound source"}
{"subject": "math:Konstantin_Andreev", "predicate": "proves", "object": "konstantin alekseevich andreev (14 march 1848 \u2013 29 october 1921) was a russian mathematician, best k"}
{"subject": "math:Algebraic_Geometry_(book)", "predicate": "proves", "object": "algebraic geometry is an algebraic geometry textbook written by robin hartshorne and published by sp"}
{"subject": "math:Diphosphorus", "predicate": "proves", "object": "diphosphorus is an inorganic chemical with the chemical formula . unlike nitrogen, its lighter pnict"}
{"subject": "math:Tight_closure", "predicate": "proves", "object": "in mathematics, in the area of commutative algebra, tight closure is an operation defined on ideals "}
{"subject": "math:Ebullioscopic_constant", "predicate": "proves", "object": "in thermodynamics, the ebullioscopic constant  relates molality  to boiling point elevation. it is t"}
{"subject": "math:Saha", "predicate": "proves", "object": "saha may refer to:\n\npeople\nsaha (surname), a bengali hindu surname\nmeghnad saha, an indian astrophys"}
{"subject": "math:Ruben_Talberg", "predicate": "proves", "object": "ruben cornelis talberg (born 24 august 1964, in heidelberg) is an israeli-german  sculptor. talberg "}
{"subject": "math:Conoid", "predicate": "proves", "object": "in geometry a conoid () is a ruled surface, whose rulings (lines) fulfill the additional conditions:"}
{"subject": "math:General_frame", "predicate": "proves", "object": "in logic, general frames (or simply frames) are kripke frames with an additional structure, which ar"}
{"subject": "math:Invariant_differential_operator", "predicate": "proves", "object": "in mathematics and theoretical physics, an invariant differential operator is a kind of mathematical"}
{"subject": "math:Theoretical_and_experimental_justification_for_the", "predicate": "proves", "object": "the theoretical and experimental justification for the schr\u00f6dinger equation motivates the discovery "}
{"subject": "math:Leclerc_(surname)", "predicate": "proves", "object": "leclerc, le clerc and leclerc are typical french or francophone surnames which can refer to:\n\n danie"}
{"subject": "math:Bulletproof_Heart", "predicate": "proves", "object": "bulletproof heart is the ninth studio album by jamaican singer, songwriter and model grace jones, re"}
{"subject": "math:Jay_Howard", "predicate": "proves", "object": "jay howard (born 16 february 1981) is a british professional race car driver who competes in the ind"}
{"subject": "math:Beta_cloth", "predicate": "proves", "object": "beta cloth is a type of fireproof silica fiber cloth used in the manufacture of apollo/skylab a7l sp"}
{"subject": "math:STST", "predicate": "proves", "object": "stst may refer to:\n\n single-trunk steiner tree (stst) a design and topology, see rectilinear steiner"}
{"subject": "math:MAT/5_mine", "predicate": "proves", "object": "the mat/5 is an italian circular, plastic-cased minimum metal blast resistant anti-tank blast mine. "}
{"subject": "math:MAT/6_mine", "predicate": "proves", "object": "the mat/6 is an italian circular synthetic resin-cased minimum metal blast resistant anti-tank blast"}
{"subject": "math:MATS/1.4_mine", "predicate": "proves", "object": "the mats/1.4 is a scatterable italian circular, plastic-cased minimum metal blast-resistant anti-tan"}
{"subject": "math:Formula_Renault_V6_Eurocup", "predicate": "proves", "object": "formula renault v6 eurocup is a former type of formula racing, active from 2003 to 2004, started by "}
{"subject": "math:MATS/2_mine", "predicate": "proves", "object": "the mats/2 is a scatterable italian circular, plastic-cased minimum metal blast resistant anti-tank "}
{"subject": "math:Implicational_hierarchy", "predicate": "proves", "object": "implicational hierarchy, in linguistics, is a chain of implicational universals. a set of chained un"}
{"subject": "math:Blondel's_theorem", "predicate": "proves", "object": "blondel's theorem, named after its discoverer, french electrical engineer andr\u00e9 blondel, is the resu"}
{"subject": "math:2004_International_Formula_3000_Championship", "predicate": "proves", "object": "the 2004 international formula 3000 season was the thirty-eight season of the second-tier of formula"}
{"subject": "math:Jaroslav_Ne\u0161et\u0159il", "predicate": "proves", "object": "jaroslav (jarik) ne\u0161et\u0159il (; born march 13, 1946, in brno) is a czech mathematician, working at char"}
{"subject": "math:Nappe_(disambiguation)", "predicate": "proves", "object": "a nappe, in geology, is a complex recumbent fold system.\n\nnappe may also refer to:\n\n nappe (water), "}
{"subject": "math:Homogeneous_differential_equation", "predicate": "proves", "object": "a differential equation can be homogeneous in either of two respects. \n\na first order differential e"}
{"subject": "math:Locally_connected_space", "predicate": "proves", "object": "in topology and other branches of mathematics, a topological space x is\nlocally connected if every p"}
{"subject": "math:Double_helix_(disambiguation)", "predicate": "proves", "object": "double helix may refer to:\n\nscience and engineering \n double helix, the structure of dna\n double hel"}
{"subject": "math:Andrew_Casson", "predicate": "proves", "object": "andrew john casson frs (born 1943) is a mathematician, studying geometric topology. casson is the ph"}
{"subject": "math:Path_space", "predicate": "proves", "object": "in mathematics, the term path space refers to any topological space of paths from one specified set "}
{"subject": "math:Iota_and_Jot", "predicate": "proves", "object": "in formal language theory and computer science, iota and jot (from greek iota \u03b9, hebrew yodh \u05d9, the "}
{"subject": "math:2003_International_Formula_3000_Championship", "predicate": "proves", "object": "the 2003 international formula 3000 season was the thirty-seventh season of the second-tier of formu"}
{"subject": "math:Hatch_mark", "predicate": "proves", "object": "hatch marks (also called hash marks or tick marks) are a form of mathematical notation. they are use"}
{"subject": "math:Ministry_of_Sustainability_and_the_Environment", "predicate": "proves", "object": "the ministry of sustainability and the environment (mse; ; ; ) is a ministry of the government of si"}
{"subject": "math:LiveMath", "predicate": "proves", "object": "livemath is a computer algebra system available on a number of platforms including mac os, macos (ca"}
{"subject": "math:MINPACK", "predicate": "proves", "object": "minpack is a library of fortran subroutines for the solving of systems of nonlinear equations, or th"}
{"subject": "math:F17", "predicate": "proves", "object": "f17 or f-17 may refer to:\n\n formula 17, a 2004 taiwanese film\n ecan f17, a french wire-guided torped"}
{"subject": "math:Otto_Selz", "predicate": "proves", "object": "otto selz (14 february 1881 \u2013 27 august 1943) was a german psychologist from munich, bavaria, who fo"}
{"subject": "math:Jeffrey_van_Hooydonk", "predicate": "proves", "object": "jeffrey van hooydonk (born 1 october 1977) is a belgian racing car driver.\n\na native of antwerp, van"}
{"subject": "math:List_of_art_installations_by_Ilya_Kabakov_(1983-20", "predicate": "proves", "object": "ilya kabakov completed 155 installations between 1983\u20132000, which were installed around the world.\n\n"}
{"subject": "math:M._S._Narasimhan", "predicate": "proves", "object": "mudumbai seshachalu narasimhan  (7 june 1932 \u2013 15 may 2021) was an indian mathematician. his focus a"}
{"subject": "math:Invariances", "predicate": "proves", "object": "invariances is a 2001 book by american philosopher robert nozick, his last book before his death in "}
{"subject": "math:Michael_Devaney_(racing_driver)", "predicate": "proves", "object": "michael devaney (born 29 november 1984 in dublin) is an irish racing driver.\n\ncareer overview \nmicha"}
{"subject": "math:Bacchus-F", "predicate": "proves", "object": "bacchus () is a non-carbonated south korean energy drink, first launched in 1963. it is known by the"}
{"subject": "math:Equations_defining_abelian_varieties", "predicate": "proves", "object": "in mathematics, the concept of abelian variety is the higher-dimensional generalization of the ellip"}
{"subject": "math:Extra_special_group", "predicate": "proves", "object": "in group theory, a branch of abstract algebra,  extraspecial groups are analogues of the heisenberg "}
{"subject": "math:Hypercomplex_manifold", "predicate": "proves", "object": "in differential geometry, a hypercomplex manifold is a manifold with the tangent bundle\nequipped wit"}
{"subject": "math:Immersion_(mathematics)", "predicate": "proves", "object": "in mathematics, an immersion is a differentiable function between differentiable manifolds whose dif"}
{"subject": "math:Taboo_(drink)", "predicate": "proves", "object": "taboo is a fruit-flavoured spirit made in the uk. its main ingredients are vodka, white wine and pea"}
{"subject": "math:Symplectic_filling", "predicate": "proves", "object": "in mathematics, a filling of a manifold x is a cobordism w between x and the empty set. more to the "}
{"subject": "math:Spy_Hunter_(disambiguation)", "predicate": "proves", "object": "spy hunter may refer to:\n\noriginal video games\nspy hunter, a 1983 arcade game\nspy hunter ii, a direc"}
{"subject": "math:Indiplon", "predicate": "proves", "object": "indiplon (inn and usan) is a nonbenzodiazepine, hypnotic sedative that was developed in two formulat"}
{"subject": "math:Sport_in_Finland", "predicate": "proves", "object": "sport is considered a national pastime in finland and many finns visit different sporting events reg"}
{"subject": "math:Body_Blows", "predicate": "proves", "object": "body blows is a 1993 fighting game, developed and published by team17 for amiga. a version for ms-do"}
{"subject": "math:McLaren_MP4/13", "predicate": "proves", "object": "the mclaren mp4/13 was the car with which the mclaren team competed in the 1998 formula one world ch"}
{"subject": "math:Dave_Formula", "predicate": "proves", "object": "dave formula (born david tomlinson 11 august 1946, whalley range, manchester, england), is an englis"}
{"subject": "math:Leftover_hash_lemma", "predicate": "proves", "object": "the leftover hash lemma is a lemma in cryptography first stated by russell impagliazzo, leonid levin"}
{"subject": "math:Green\u2013Tao_theorem", "predicate": "proves", "object": "in number theory, the green\u2013tao theorem, proved by ben green and terence tao in 2004, states that th"}
{"subject": "math:Divis\u00e3o_de_Elite", "predicate": "proves", "object": "in 2002, due to disputes with the portuguese league association, the federation refused to consider "}
{"subject": "math:Ramanujan_prime", "predicate": "proves", "object": "in mathematics, a ramanujan prime is a prime number that satisfies a result proven by srinivasa rama"}
{"subject": "math:Cadalene", "predicate": "proves", "object": "cadalene or cadalin (4-isopropyl-1,6-dimethylnaphthalene) is a polycyclic aromatic hydrocarbon with "}
{"subject": "math:Simonellite", "predicate": "proves", "object": "simonellite (1,1-dimethyl-1,2,3,4-tetrahydro-7-isopropyl phenanthrene) is a polycyclic aromatic hydr"}
{"subject": "math:Benetton", "predicate": "proves", "object": "benetton may refer to:\n\n benetton group, an italian clothing retailer\n benetton family, the family w"}
{"subject": "math:Hopf_manifold", "predicate": "proves", "object": "in complex geometry, a hopf manifold   is obtained\nas a quotient of the complex vector space\n(with z"}
{"subject": "math:Hopf_surface", "predicate": "proves", "object": "in complex geometry, a hopf surface is a compact complex surface obtained as a quotient of the compl"}
{"subject": "math:2002_International_Formula_3000_Championship", "predicate": "proves", "object": "the 2002 international formula 3000 season was the thirty-sixth season of the second-tier of formula"}
{"subject": "math:Phase_line", "predicate": "proves", "object": "a phase line may refer to:\n phase line (mathematics), used to analyze autonomous ordinary differenti"}
{"subject": "math:Lax_equivalence_theorem", "predicate": "proves", "object": "in numerical analysis, the lax equivalence theorem is a fundamental theorem in the analysis of finit"}
{"subject": "math:Pinosylvin", "predicate": "proves", "object": "pinosylvin is an organic compound with the formula c6h5ch=chc6h3(oh)2.  a white solid, it is related"}
{"subject": "math:Affine_action", "predicate": "proves", "object": "let  be the weyl group of a semisimple lie algebra  (associate to fixed choice of a cartan subalgebr"}
{"subject": "math:Arnd_Meier", "predicate": "proves", "object": "arnd meier (born march 1, 1973, in hannover, germany) is a former race car driver. after finishing s"}
{"subject": "math:Casson_handle", "predicate": "proves", "object": "in 4-dimensional topology, a branch of mathematics, a casson handle is a 4-dimensional topological 2"}
{"subject": "math:Glu3d", "predicate": "proves", "object": "glu3d is a plugin that simulates fluid effects inside the 3dsmax and maya3d modelling programs.\n\nsim"}
{"subject": "math:Quantum_cloning", "predicate": "proves", "object": "quantum cloning is a process that takes an arbitrary, unknown quantum state and makes an exact copy "}
{"subject": "math:Acetoxy_group", "predicate": "proves", "object": "in organic chemistry, the acetoxy group (abbr. aco or oac; iupac name: acetyloxy), is a functional g"}
{"subject": "math:Binas_(book)", "predicate": "proves", "object": "the binas (often written as binas or binas) is a dutch science reference work (a handbook) for the h"}
{"subject": "math:Brocard_points", "predicate": "proves", "object": "in geometry, brocard points are special points within a triangle. they are named after henri brocard"}
{"subject": "math:Raffaele_Giammaria", "predicate": "proves", "object": "raffaele giammaria (born 1 september 1977 in civitavecchia) is an italian racing car driver.\n\nhe was"}
{"subject": "math:Schreier_conjecture", "predicate": "proves", "object": "in finite group theory, the schreier conjecture asserts that the outer automorphism group of every f"}
{"subject": "math:Yannick_Schroeder", "predicate": "proves", "object": "yannick schroeder (born 10 august 1979 in metz) is a french racing car driver.\n\nschroeder competed i"}
{"subject": "math:Rokhlin's_theorem", "predicate": "proves", "object": "in 4-dimensional topology, a branch of mathematics, rokhlin's theorem states that if a smooth, orien"}
{"subject": "math:Dodecahedral_conjecture", "predicate": "proves", "object": "the dodecahedral conjecture in geometry is intimately related to sphere packing. \n\nl\u00e1szl\u00f3 fejes t\u00f3th"}
{"subject": "math:2001_International_Formula_3000_Championship", "predicate": "proves", "object": "the 2001 international formula 3000 championship was the 35th season of the second-tier motorsport f"}
{"subject": "math:Generalized_inverse", "predicate": "proves", "object": "in mathematics, and in particular, algebra, a generalized inverse (or, g-inverse) of an element x is"}
{"subject": "math:Fredholm", "predicate": "proves", "object": "fredholm is a swedish surname. notable people with the surname include:\n\nerik ivar fredholm (1866\u201319"}
{"subject": "math:Theorem_of_the_cube", "predicate": "proves", "object": "in mathematics, the theorem of the cube is a condition for a line bundle over a product of three com"}
{"subject": "math:Eperisone", "predicate": "proves", "object": "eperisone (formulated as the eperisone hydrochloride salt) is an antispasmodic drug.\n\neperisone acts"}
{"subject": "math:Championnat_de_France_de_la_Montagne", "predicate": "proves", "object": "the french hill climb championship, or championnat de france de la montagne started in 1967 and rapi"}
{"subject": "math:Molybdenum(II)_chloride", "predicate": "proves", "object": "molybdenum dichloride describes chemical compounds with the empirical formula mocl2. at least two fo"}
{"subject": "math:Bradford_Factor", "predicate": "proves", "object": "the bradford factor or bradford formula is used in human resource management as a means of measuring"}
{"subject": "math:Olympus_\u03bc700", "predicate": "proves", "object": "the olympus \u03bc(\"mju\") 700 \u2014 also known as the olympus stylus 710 in north america \u2014 is a 7.1 megapixe"}
{"subject": "math:Tonelli\u2013Hobson_test", "predicate": "proves", "object": "in mathematics, the tonelli\u2013hobson test gives sufficient criteria for a function \u0192 on r2 to be an in"}
{"subject": "math:Let's_Cut_the_Crap_&_Hook_Up_Later_on_Tonight", "predicate": "proves", "object": "let's cut the crap & hook up later on tonight (lctc) is the debut album of marah, released in 1998.\n"}
{"subject": "math:Matrix_pencil", "predicate": "proves", "object": "in linear algebra, if  are  complex matrices for some nonnegative integer , and  (the zero matrix), "}
{"subject": "math:Hankinson's_equation", "predicate": "proves", "object": "hankinson's equation (also called hankinson's formula or hankinson's criterion) is a mathematical re"}
{"subject": "math:Poincar\u00e9_residue", "predicate": "proves", "object": "in mathematics, the poincar\u00e9 residue is a generalization, to several complex variables and complex m"}
{"subject": "math:Ibandronic_acid", "predicate": "proves", "object": "ibandronic acid is a bisphosphonate medication used in the prevention and treatment of osteoporosis "}
{"subject": "math:Casson_invariant", "predicate": "proves", "object": "in 3-dimensional topology, a part of the mathematical field of geometric topology, the casson invari"}
{"subject": "math:Internodal_segment", "predicate": "proves", "object": "an internodal segment (or internode) is the portion of a nerve fiber between two nodes of ranvier. t"}
{"subject": "math:Mikhail_Goussarov", "predicate": "proves", "object": "mikhail goussarov (march 8, 1958, leningrad \u2013 june 25, 1999, tel aviv) was a soviet mathematician wh"}
{"subject": "math:Lithium_tetrafluoroborate", "predicate": "proves", "object": "lithium tetrafluoroborate is an inorganic compound with the formula libf4.  it is a white crystallin"}
{"subject": "math:Christopher_Knight_(author)", "predicate": "proves", "object": "christopher knight is an author who has written several books dealing with pseudoscientific conspira"}
{"subject": "math:Centrosymmetric_matrix", "predicate": "proves", "object": "in mathematics, especially in linear algebra and matrix theory, a centrosymmetric matrix is a matrix"}
{"subject": "math:Kolmogorov_continuity_theorem", "predicate": "proves", "object": "in mathematics, the kolmogorov continuity theorem is a theorem that guarantees that a stochastic pro"}
{"subject": "math:Omnitruncation", "predicate": "proves", "object": "in geometry, an omnitruncation of a convex polytope is a simple polytope of the same dimension, havi"}
{"subject": "math:Oswald_Veblen_Prize_in_Geometry", "predicate": "proves", "object": "\n\nthe oswald veblen prize in geometry is an award granted by the american mathematical society for n"}
{"subject": "math:Hyman_Bass", "predicate": "proves", "object": "hyman bass (; born october 5, 1932) is an american mathematician, known for work in algebra and in m"}
{"subject": "math:Juan_C\u00e1ceres_(racing_driver)", "predicate": "proves", "object": "juan ignacio \"fufi\" c\u00e1ceres stuart (born 1 may 1984) is a uruguayan former racing driver from punta "}
{"subject": "math:Kelvin's_circulation_theorem", "predicate": "proves", "object": "in fluid mechanics, kelvin's circulation theorem (named after william thomson, 1st baron kelvin who "}
{"subject": "math:Inverse_image_functor", "predicate": "proves", "object": "in mathematics, specifically in algebraic topology and algebraic geometry,  an inverse image functor"}
{"subject": "math:Star_polyhedron", "predicate": "proves", "object": "in geometry, a star polyhedron is a polyhedron which has some repetitive quality of nonconvexity giv"}
{"subject": "math:Income_shares", "predicate": "proves", "object": "an income shares formula is used by many states to establish the child support amount of each child "}
{"subject": "math:Finite-difference_frequency-domain_method", "predicate": "proves", "object": "the finite-difference frequency-domain (fdfd) method is a numerical solution method for problems usu"}
{"subject": "math:Ferrari_156_F1", "predicate": "proves", "object": "the ferrari 156 was a racing car made by ferrari in 1961 to comply with then-new formula one regulat"}
{"subject": "math:Ruggiero_(music)", "predicate": "proves", "object": "ruggiero refers to a musical scheme which is at times harmonic and at times melodic. it is seen in 1"}
{"subject": "math:Damp_proofing", "predicate": "proves", "object": "damp proofing in construction is a type of moisture control applied to building walls and floors to "}
{"subject": "math:Feodor_Deahna", "predicate": "proves", "object": "heinrich wilhelm feodor deahna (8 july 1815 \u2013 8 january 1844) was a german mathematician.\nhe is know"}
{"subject": "math:J._Howard_Redfield", "predicate": "proves", "object": "john howard redfield (june 8, 1879 \u2013 april 17, 1944) was an american mathematician, best known for d"}
{"subject": "math:Gysin_homomorphism", "predicate": "proves", "object": "in the field of mathematics known as algebraic topology, the gysin sequence is a long exact sequence"}
{"subject": "math:Nina_Bari", "predicate": "proves", "object": "nina karlovna bari (; 19 november 1901 \u2013 15 july 1961) was a soviet mathematician known for her work"}
{"subject": "math:Ruth_Aaronson_Bari", "predicate": "proves", "object": "ruth aaronson bari (november 17, 1917 \u2013 august 25, 2005) was an american mathematician known for her"}
{"subject": "math:Luca_Marmorini", "predicate": "proves", "object": "luca marmorini (born 17 june 1961) is an italian engineer, who is the former head of the engine and "}
{"subject": "math:Prinergy", "predicate": "proves", "object": "prinergy is a prepress workflow system created by creo in 1999 and maintained and sold through kodak"}
{"subject": "math:Spectra_Shield", "predicate": "proves", "object": "spectra shield is a composite material (specifically, an ultra-high-molecular-weight polyethylene (u"}
{"subject": "math:Andrei_Suslin", "predicate": "proves", "object": "andrei suslin (, sometimes transliterated souslin) was a russian mathematician who  contributed to a"}
{"subject": "math:Guido_Dacc\u00f2", "predicate": "proves", "object": "guido dacc\u00f2 (10 september 1947 \u2013 29 july 2006) was an italian race car and motorcycle racer from lim"}
{"subject": "math:Boronic_acid", "predicate": "proves", "object": "a boronic acid is an organic compound related to boric acid () in which one of the three hydroxyl gr"}
{"subject": "math:Feige\u2013Fiat\u2013Shamir_identification_scheme", "predicate": "proves", "object": "in cryptography, the feige\u2013fiat\u2013shamir identification scheme is a type of parallel zero-knowledge pr"}
{"subject": "math:Hall's_conjecture", "predicate": "proves", "object": "in mathematics, hall's conjecture is an open question, , on the differences between perfect squares "}
{"subject": "math:Marilyn_and_Me", "predicate": "proves", "object": "marilyn and me is a 1991 american television film. it premiered on the history channel in india on m"}
{"subject": "math:Schweizer's_reagent", "predicate": "proves", "object": "schweizer's reagent is the metal ammine complex with the formula [cu(nh3)4(h2o)2](oh)2. this deep-bl"}
{"subject": "math:Sulfuryl_chloride_fluoride", "predicate": "proves", "object": "sulfuryl chloride fluoride is a chemical compound with the formula so2clf.  it is a colorless, easil"}
{"subject": "math:Cracovian", "predicate": "proves", "object": "in astronomical and geodetic calculations, cracovians are a clerical convenience introduced in the 1"}
{"subject": "math:UH_Racing", "predicate": "proves", "object": "uh racing is a formula student team run by students attending the university of hertfordshire, ranke"}
{"subject": "math:Team_Australia_(disambiguation)", "predicate": "proves", "object": "team australia may refer to:\n\nteam australia, a sponsored identity of champ car auto racing team wal"}
{"subject": "math:Ovalene", "predicate": "proves", "object": "ovalene is a polycyclic aromatic hydrocarbon with the formula c32h14, which consists of ten peri-fus"}
{"subject": "math:Wedderburn's_little_theorem", "predicate": "proves", "object": "in mathematics, wedderburn's little theorem states that every finite division ring is a field. in ot"}
{"subject": "math:Symbolic", "predicate": "proves", "object": "symbolic may refer to:\n\n symbol, something that represents an idea, a process, or a physical entity\n"}
{"subject": "math:Okishio's_theorem", "predicate": "proves", "object": "okishio's theorem is a theorem formulated by japanese economist nobuo okishio. it has had a major im"}
{"subject": "math:Commutation_matrix", "predicate": "proves", "object": "in mathematics, especially in linear algebra and matrix theory, the commutation matrix is used for t"}
{"subject": "math:2000_International_Formula_3000_Championship", "predicate": "proves", "object": "the 2000 international formula 3000 season was the thirty-fourth season of the second-tier of formul"}
{"subject": "math:Fondements_de_la_G\u00e9ometrie_Alg\u00e9brique", "predicate": "proves", "object": "fondements de la g\u00e9ometrie alg\u00e9brique (fga) is a book that collected together seminar notes of alexa"}
{"subject": "math:McLaren_MP4/15", "predicate": "proves", "object": "the mclaren mp4/15 was a formula one car used by the mclaren-mercedes team in the 2000 formula one w"}
{"subject": "math:Natura_non_facit_saltus", "predicate": "proves", "object": "natura non facit saltus (latin for \"nature does not make jumps\") has been an important principle of "}
{"subject": "math:Bagnold", "predicate": "proves", "object": "bagnold may refer to:\n\n enid bagnold (1889\u20131981), author and playwright\n millicent bagnold, a charac"}
{"subject": "math:Duplication_and_elimination_matrices", "predicate": "proves", "object": "in mathematics, especially in linear algebra and matrix theory, the duplication matrix and the elimi"}
{"subject": "math:Vectorization_(mathematics)", "predicate": "proves", "object": "in mathematics, especially in linear algebra and matrix theory, the vectorization of a matrix is a l"}
{"subject": "math:Jordan_EJ10", "predicate": "proves", "object": "the jordan ej10, and an updated version, the ej10b, was the car with which the jordan team competed "}
{"subject": "math:Schlenk_line", "predicate": "proves", "object": "the schlenk line (also vacuum gas manifold) is a commonly used chemistry apparatus developed by wilh"}
{"subject": "math:Euler\u2013Maruyama_method", "predicate": "proves", "object": "in it\u00f4 calculus, the euler\u2013maruyama method (also called the euler method) is a method for the approx"}
{"subject": "math:Milstein_method", "predicate": "proves", "object": "in mathematics, the milstein method is a technique for the approximate numerical solution of a stoch"}
{"subject": "math:Runge\u2013Kutta_method_(SDE)", "predicate": "proves", "object": "in mathematics of stochastic systems, the runge\u2013kutta method is a technique for the approximate nume"}
{"subject": "math:Aspherical_space", "predicate": "proves", "object": "in topology, a branch of mathematics, an aspherical space is a topological space with all homotopy g"}
{"subject": "math:Stokes_formula", "predicate": "proves", "object": "stokes' formula can refer to:\nstokes' law for friction force in a viscous fluid.\nstokes' law (sound "}
{"subject": "math:Differential_calculus_over_commutative_algebras", "predicate": "proves", "object": "in mathematics the differential calculus over commutative algebras is a part of commutative algebra "}
{"subject": "math:Ptolemy's_inequality", "predicate": "proves", "object": "in euclidean geometry, ptolemy's inequality relates the six distances determined by four points in t"}
{"subject": "math:Molecular_Hamiltonian", "predicate": "proves", "object": "in atomic, molecular, and optical physics and quantum chemistry, the molecular hamiltonian  is the h"}
{"subject": "math:Generalized_dihedral_group", "predicate": "proves", "object": "in mathematics, the generalized dihedral groups are a family of groups with algebraic structures sim"}
{"subject": "math:Lotus_20", "predicate": "proves", "object": "the lotus 20 is a formula junior car built by lotus for the 1961 season as a successor to the lotus "}
{"subject": "math:Double_R_Racing", "predicate": "proves", "object": "double r racing is a motor racing team, which races in formula three and other junior levels of form"}
{"subject": "math:Jaguar_R1", "predicate": "proves", "object": "the jaguar r1 is the car with which the jaguar racing formula one team competed in the 2000 formula "}
{"subject": "math:2006_British_Formula_3_International_Series", "predicate": "proves", "object": "the 2006 british formula 3 international series was the 56th british formula 3 international series "}
{"subject": "math:Addison-Wesley_Secondary_Math:_An_Integrated_Appro", "predicate": "proves", "object": "focus on algebra was the widely cited 812-page-long algebra textbook which contained significant con"}
{"subject": "math:CEV_Champions_League", "predicate": "proves", "object": "the cev champions league is the top official competition for men's volleyball clubs from the whole o"}
{"subject": "math:Richards_equation", "predicate": "proves", "object": "the richards equation represents the movement of water in unsaturated soils, and is attributed to lo"}
{"subject": "math:Quasicontraction_semigroup", "predicate": "proves", "object": "in mathematical analysis, a c0-semigroup \u03b3(t), t\u00a0\u2265\u00a00, is called a quasicontraction semigroup if ther"}
{"subject": "math:Blue_Planet_Software", "predicate": "proves", "object": "blue planet software inc. was an american video game developer and publisher founded by henk rogers "}
{"subject": "math:Algebraically_closed_group", "predicate": "proves", "object": "in group theory, a group  is algebraically closed if any finite set of equations and inequations tha"}
{"subject": "math:Tetrasaccharide", "predicate": "proves", "object": "a tetrasaccharide is a carbohydrate which gives upon hydrolysis four molecules of the same or differ"}
{"subject": "math:TosMIC", "predicate": "proves", "object": "tosmic (toluenesulfonylmethyl isocyanide) is an organic compound with the formula ch3c6h4so2ch2nc. t"}
{"subject": "math:David_Tremayne", "predicate": "proves", "object": "david john tremayne is a uk-based motor racing journalist.  he has written extensively about the lan"}
{"subject": "math:Matita", "predicate": "proves", "object": "matita\nis an experimental proof assistant under development at the computer science department of th"}
{"subject": "math:Bob_Bell", "predicate": "proves", "object": "bob or bobby bell may refer to:\n\nsports\nbob bell (motorsport) (born 1958), british formula one techn"}
{"subject": "math:Instancing", "predicate": "proves", "object": "instancing may refer to:\n\n geometry instancing, a technique used in realtime rendering\n dungeon inst"}
{"subject": "math:Dimethyl_carbonate", "predicate": "proves", "object": "dimethyl carbonate (dmc) is an organic compound with the formula oc(och3)2.  it is a colourless, fla"}
{"subject": "math:Williams_FW22", "predicate": "proves", "object": "the williams fw22 was the car with which the williams team competed in the 2000 formula one world ch"}
{"subject": "math:Benzeneselenol", "predicate": "proves", "object": "benzeneselenol, also known as selenophenol, is the organoselenium compound with the formula c6h5seh,"}
{"subject": "math:Diphenyl_diselenide", "predicate": "proves", "object": "diphenyl diselenide is the chemical compound with the formula (c6h5)2se2, abbreviated ph2se2.  this "}
{"subject": "math:Topological_censorship", "predicate": "proves", "object": "the topological censorship theorem (if valid) states that general relativity does not allow an obser"}
{"subject": "math:Gross\u2013Pitaevskii_equation", "predicate": "proves", "object": "the gross\u2013pitaevskii equation (gpe, named after eugene p. gross and lev petrovich pitaevskii) descri"}
{"subject": "math:Benetton_B200", "predicate": "proves", "object": "the benetton b200 was the car with which the benetton formula one team competed in the 2000 formula "}
{"subject": "math:BLW", "predicate": "proves", "object": "blw or blw may refer to:\n\n baby-led weaning, an approach to adding complementary foods to a baby's d"}
{"subject": "math:Borel_conjecture", "predicate": "proves", "object": "in mathematics, specifically geometric topology, the borel conjecture (named for armand borel) asser"}
{"subject": "math:Wide_chord", "predicate": "proves", "object": "wide chord fan refers to the fan blades on a modern turbofan jet engine having a ducted fan with a s"}
{"subject": "math:5-cube", "predicate": "proves", "object": "in five-dimensional geometry, a 5-cube is a name for a five-dimensional hypercube with 32 vertices, "}
{"subject": "math:Speed_Challenge:_Jacques_Villeneuve's_Racing_Visio", "predicate": "proves", "object": "speed challenge: jacques villeneuve's racing vision is a racing game published in 2002 by ubisoft in"}
{"subject": "math:Primary_pseudoperfect_number", "predicate": "proves", "object": "in mathematics, and particularly in number theory, n is a primary pseudoperfect number if it satisfi"}
{"subject": "math:Random_dynamical_system", "predicate": "proves", "object": "in the mathematical field of dynamical systems, a random dynamical system is a dynamical system in w"}
{"subject": "math:Uniform_topology", "predicate": "proves", "object": "in mathematics, the uniform topology on a space may mean:\n\n in functional analysis, it sometimes ref"}
{"subject": "math:5-demicube", "predicate": "proves", "object": "in five-dimensional geometry, a demipenteract or 5-demicube is a semiregular 5-polytope, constructed"}
{"subject": "math:Facet_(geometry)", "predicate": "proves", "object": "in geometry, a facet is a feature of a polyhedron, polytope, or related geometric structure, general"}
{"subject": "math:Verdier_duality", "predicate": "proves", "object": "in mathematics, verdier duality is a cohomological duality in algebraic topology that generalizes po"}
{"subject": "math:C18", "predicate": "proves", "object": "c18 may refer to:\n\nscience and technology\n caldwell 18 (ngc 185), a dwarf spheroidal galaxy of the l"}
{"subject": "math:Hirzebruch_signature_theorem", "predicate": "proves", "object": "in differential topology, an area of mathematics, the hirzebruch signature theorem (sometimes called"}
{"subject": "math:Barium_chromate", "predicate": "proves", "object": "barium chromate, named barium tetraoxochromate(vi) by the iupac, is a yellow sand like powder with t"}
{"subject": "math:Theta_characteristic", "predicate": "proves", "object": "in mathematics, a theta characteristic of a non-singular algebraic curve c is a divisor class \u03b8 such"}
{"subject": "math:The_Raw_Report_DVD-Magazine", "predicate": "proves", "object": "the raw report dvd-magazine is a quarterly released dvd magazine series that focuses on the extensiv"}
{"subject": "math:Configuration_(geometry)", "predicate": "proves", "object": "in mathematics, specifically projective geometry, a configuration in the plane consists of a finite "}
{"subject": "math:Schlegel_diagram", "predicate": "proves", "object": "in geometry, a schlegel diagram is a projection of a polytope from  into  through a point just outsi"}
{"subject": "math:Willi_Weber", "predicate": "proves", "object": "wilhelm \"willi\" friedrich weber (born 11 march 1942 in regensburg, germany) is a former manager of g"}
{"subject": "math:H._F._Baker", "predicate": "proves", "object": "henry frederick baker frs frse (3 july 1866 \u2013 17 march 1956) was a british mathematician, working ma"}
{"subject": "math:Reduction_criterion", "predicate": "proves", "object": "in quantum information theory, the reduction criterion is a necessary condition a mixed state must s"}
{"subject": "math:Harmonic_coordinate_condition", "predicate": "proves", "object": "the harmonic coordinate condition is one of several coordinate conditions in general relativity, whi"}
{"subject": "math:D'Alembert's_equation", "predicate": "proves", "object": "in mathematics, d'alembert's equation is a first order nonlinear ordinary differential equation, nam"}
{"subject": "math:Norm_variety", "predicate": "proves", "object": "in mathematics, a norm variety is a particular type of algebraic variety v over a field f, introduce"}
{"subject": "math:Ettringite", "predicate": "proves", "object": "ettringite is a hydrous calcium aluminium sulfate mineral with formula: . it is a colorless to yello"}
{"subject": "math:Wycheproof", "predicate": "proves", "object": "wycheproof  is a town in the centre of the shire of buloke, in north western victoria, australia. as"}
{"subject": "math:Desargues_configuration", "predicate": "proves", "object": "in geometry, the desargues configuration is a configuration of ten points and ten lines, with three "}
{"subject": "math:F60", "predicate": "proves", "object": "f60 or f.60 may refer to:\n\nvehicles\n\ncars\n ferrari f60, ferrari's formula one racing car for the 200"}
{"subject": "math:Harmonic_coordinates", "predicate": "proves", "object": "in riemannian geometry, a branch of mathematics, harmonic coordinates are a certain kind of coordina"}
{"subject": "math:Spyker_F1", "predicate": "proves", "object": "the spyker f1 team, known as the etihad aldar spyker f1 team for sponsorship reasons, was a formula "}
{"subject": "math:Karl_Stein_(mathematician)", "predicate": "proves", "object": "karl stein (1 january 1913 in hamm, westphalia  \u2013 19 october 2000) was a german mathematician. he is"}
{"subject": "math:Semipermutable_subgroup", "predicate": "proves", "object": "in mathematics, in algebra, in the realm of group theory, a subgroup  of a finite group  is said to "}
{"subject": "math:Tannakian_formalism", "predicate": "proves", "object": "in mathematics, a tannakian category is a particular kind of monoidal category c, equipped with some"}
{"subject": "math:The_Lakeman_Brothers", "predicate": "proves", "object": "the lakeman brothers were an english folk music trio, consisting of sean lakeman, sam lakeman and se"}
{"subject": "math:Prost_AP03", "predicate": "proves", "object": "the prost ap03 was the car with which the prost formula one team competed in the 2000 formula one se"}
{"subject": "math:T80_(disambiguation)", "predicate": "proves", "object": "the t-80 is a main battle tank designed in the soviet union.\n\nt80 or t-80 may also refer to:\n\nautomo"}
{"subject": "math:Giorgio_Parisi", "predicate": "proves", "object": "giorgio parisi  (born 4 august 1948) is an italian theoretical physicist, whose research has focused"}
{"subject": "math:Principle_of_covariance", "predicate": "proves", "object": "in physics, the principle of covariance emphasizes the formulation of physical laws using only those"}
{"subject": "math:Cremona_group", "predicate": "proves", "object": "in algebraic geometry, the cremona group, introduced by , is the group of birational automorphisms o"}
{"subject": "math:Real_algebraic_geometry", "predicate": "proves", "object": "in mathematics, real algebraic geometry is the sub-branch of algebraic geometry studying real algebr"}
{"subject": "math:Eschatocol", "predicate": "proves", "object": "an eschatocol, or closing protocol, is the final section of a legal or public document, which may in"}
{"subject": "math:Sauber_C19", "predicate": "proves", "object": "the sauber c19 was the car with which the sauber formula one team competed in the 2000 formula one w"}
{"subject": "math:Gadabout_(1913-15_automobile)", "predicate": "proves", "object": "the gadabout was an unusual american automobile manufactured in newark, new jersey from 1913 until 1"}
{"subject": "math:Decyl_glucoside", "predicate": "proves", "object": "decyl glucoside is a mild non-ionic surfactant used in cosmetic formularies, including baby shampoo "}
{"subject": "math:Carbamic_acid", "predicate": "proves", "object": "carbamic acid, which might also be called aminoformic acid or aminocarboxylic acid, is the chemical "}
{"subject": "math:Fluorenone", "predicate": "proves", "object": "fluorenone is an organic compound with the chemical formula . it is bright fluorescent yellow solid."}
{"subject": "math:Ehrling's_lemma", "predicate": "proves", "object": "in mathematics, ehrling's lemma, also known as lions' lemma, is a result concerning banach spaces. i"}
{"subject": "math:London_equations", "predicate": "proves", "object": "the london equations, developed by brothers fritz and heinz london in 1935, are constitutive relatio"}
{"subject": "math:Flourish_(film)", "predicate": "proves", "object": "flourish is a 2006 american film written, produced and directed by kevin palys and starring jennifer"}
{"subject": "math:Study_in_Brown", "predicate": "proves", "object": "study in brown  (emarcy records, 1955) is a clifford brown and max roach album. the album consists p"}
{"subject": "math:Joannes_Maxentius", "predicate": "proves", "object": "john maxentius (latin: ioannes maxentius, greek: \u03af\u03c9\u03ac\u03bd\u03bd\u03b7\u03c2 \u03bc\u03b1\u03be\u03ad\u03bd\u03c4\u03b9\u03bf\u03c2) as the byzantine leader of the s"}
{"subject": "math:Martin_L\u00f6b", "predicate": "proves", "object": "martin hugo l\u00f6b (; 31 march 1921 \u2013 21 august 2006) was a german mathematician.  he settled in the un"}
{"subject": "math:Old_Frostproof_High_School", "predicate": "proves", "object": "the old frostproof high school (also known as the frostproof city hall) is a historic school in fros"}
{"subject": "math:Arrows_A21", "predicate": "proves", "object": "the arrows a21 was the car with which the arrows formula one team competed in the 2000 formula one w"}
{"subject": "math:Minardi_M02", "predicate": "proves", "object": "the minardi m02 was the car with which the minardi formula one team competed in the 2000 formula one"}
{"subject": "math:Polytheistic_myth_as_psychology", "predicate": "proves", "object": "the idea of polytheistic myth as having psychological value is one theorem of archetypal psychology "}
{"subject": "math:Potassium_nitrate_(data_page)", "predicate": "proves", "object": "potassium nitrate is an oxidizer so storing it near fire hazards or reducing agents should be avoide"}
{"subject": "math:BAR_002", "predicate": "proves", "object": "the bar 002 was the car with which the british american racing formula one team competed in the 2000"}
{"subject": "math:Hexafluorophosphate", "predicate": "proves", "object": "hexafluorophosphate is an anion with chemical formula of . it is an octahedral species that imparts "}
{"subject": "math:Rotation_formalisms_in_three_dimensions", "predicate": "proves", "object": "in geometry, various formalisms exist to express a rotation in three dimensions as a mathematical tr"}
{"subject": "math:Tetraaminoethylene", "predicate": "proves", "object": "in organic chemistry, tetraaminoethylene is a hypothetical, organic compound with formula  or .  lik"}
{"subject": "math:Automatically_Tuned_Linear_Algebra_Software", "predicate": "proves", "object": "automatically tuned linear algebra software (atlas) is a software library for linear algebra. it pro"}
{"subject": "math:Ferrari_126C", "predicate": "proves", "object": "the ferrari 126c is the car with which ferrari raced from the 1981 through the 1984 formula one seas"}
{"subject": "math:Louis_Kauffman", "predicate": "proves", "object": "louis hirsch kauffman (born february 3, 1945) is an american mathematician, mathematical physicist, "}
{"subject": "math:Fitch_notation", "predicate": "proves", "object": "fitch notation, also known as fitch diagrams (named after frederic fitch), is a notational system fo"}
{"subject": "math:Von_Zeipel_theorem", "predicate": "proves", "object": "in astrophysics, the von zeipel theorem states that the radiative flux  in a uniformly rotating star"}
{"subject": "math:Mercedes_AMG_High_Performance_Powertrains", "predicate": "proves", "object": "mercedes amg high performance powertrains (previously known as ilmor engineering and mercedes-benz h"}
{"subject": "math:McLaren_MP4/14", "predicate": "proves", "object": "the mclaren mp4/14 was a formula one car built and designed by the mclaren-mercedes team to compete "}
{"subject": "math:Stochastic_optimization", "predicate": "proves", "object": "stochastic optimization (so) methods are optimization methods that generate and use random variables"}
{"subject": "math:Korean_Grand_Prix", "predicate": "proves", "object": "the korean grand prix (korean: \ucf54\ub9ac\uc544 \uadf8\ub791\ud504\ub9ac) was a formula one race held in south korea, from 2010 until"}
{"subject": "math:Numerical_linear_algebra", "predicate": "proves", "object": "numerical linear algebra, sometimes called applied linear algebra, is the study of how matrix operat"}
{"subject": "math:Barrow's_inequality", "predicate": "proves", "object": "in geometry, barrow's inequality is an inequality relating the distances between an arbitrary point "}
{"subject": "math:Scuderia_Coloni", "predicate": "proves", "object": "coloni motorsport, also known as scuderia coloni, was an auto racing team from italy.  formed by enz"}
{"subject": "math:SMN", "predicate": "proves", "object": "smn may refer to:\n\nlemhi county airport, iata airport code of smn\nnetherland line (stoomvaart maatsc"}
{"subject": "math:K\u00e4hler\u2013Einstein_metric", "predicate": "proves", "object": "in differential geometry, a k\u00e4hler\u2013einstein metric on a complex manifold is a riemannian metric that"}
{"subject": "math:Homology_manifold", "predicate": "proves", "object": "in mathematics, a homology manifold (or generalized manifold)\nis a locally compact topological space"}
{"subject": "math:Quincha", "predicate": "proves", "object": "quincha is a traditional construction system that uses, fundamentally, wood and cane or giant reed f"}
{"subject": "math:Abreaction", "predicate": "proves", "object": "abreaction () is a psychoanalytical term for reliving an experience to purge it of its emotional exc"}
{"subject": "math:Lotus_91", "predicate": "proves", "object": "the lotus 91 was a car used by the english team lotus in the 1982 formula one season, designed by co"}
{"subject": "math:Jeff_Cheeger", "predicate": "proves", "object": "jeff cheeger (born december 1, 1943, brooklyn, new york city) is a mathematician. cheeger is profess"}
{"subject": "math:Alan_Weinstein", "predicate": "proves", "object": "alan david weinstein (17 june 1943, new york city) is a professor of mathematics at the university o"}
{"subject": "math:Dennis_Sullivan", "predicate": "proves", "object": "dennis parnell sullivan (born february 12, 1941) is an american mathematician known for his work in "}
{"subject": "math:Diphenyl_disulfide", "predicate": "proves", "object": "diphenyl disulfide is the chemical compound with the formula (c6h5s)2. this colorless crystalline ma"}
{"subject": "math:Guy_Terjanian", "predicate": "proves", "object": "guy terjanian is a french mathematician who has worked on algebraic number theory. he achieved his p"}
{"subject": "math:Alite", "predicate": "proves", "object": "alite is an impure form of tricalcium silicate, , sometimes formulated as  ( in cement chemist notat"}
{"subject": "math:Belite", "predicate": "proves", "object": "belite is an industrial mineral important in portland cement manufacture. its main constituent is di"}
{"subject": "math:Laser_accelerometer", "predicate": "proves", "object": "a laser accelerometer is an accelerometer that uses a laser to measure changes in velocity/direction"}
{"subject": "math:Dutching", "predicate": "proves", "object": "in gambling, dutching is sharing the risk of losing across a number of runners by backing more than "}
{"subject": "math:Jordan_EJ14", "predicate": "proves", "object": "the jordan ej14 was the fourteenth jordan formula one car.  it was used by the team to compete in th"}
{"subject": "math:Hypofluorous_acid", "predicate": "proves", "object": "hypofluorous acid, chemical formula hof, is the only known oxyacid of fluorine and the only known ox"}
{"subject": "math:Taro_Morishima", "predicate": "proves", "object": "was a japanese mathematician specializing in algebra who attended university of tokyo in japan. mori"}
{"subject": "math:Middlesex_9s", "predicate": "proves", "object": "middlesex 9s (also known as the mx9s) is a rugby league nines tournament that is hosted by the londo"}
{"subject": "math:Kutnohorite", "predicate": "proves", "object": "kutnohorite is a rare calcium manganese carbonate mineral with magnesium and iron that is a member o"}
{"subject": "math:Synaptotropic_hypothesis", "predicate": "proves", "object": "the synaptotropic hypothesis, also called the synaptotrophic hypothesis, is a neurobiological hypoth"}
{"subject": "math:Heinz_dilemma", "predicate": "proves", "object": "the heinz dilemma is a frequently used example in many ethics and morality classes. one well-known v"}
{"subject": "math:Jordan_EJ11", "predicate": "proves", "object": "the jordan ej11 was the car with which the jordan team competed in the  formula one season.\n\nbackgro"}
{"subject": "math:Sl\u00e1n_abhaile", "predicate": "proves", "object": "() is an irish language phrase used to bid goodbye to someone who is travelling home. a literal tran"}
{"subject": "math:Avrami_equation", "predicate": "proves", "object": "the avrami equation describes how solids transform from one phase to another at constant temperature"}
{"subject": "math:Star_Begotten", "predicate": "proves", "object": "star begotten is a 1937 novel by h. g. wells. it tells the story of a series of men who conjecture u"}
{"subject": "math:2,2\u2032-Bipyridine", "predicate": "proves", "object": "2,2\u2032-bipyridine (bipy or bpy, pronounced ) is an organic compound with the formula c10h8n2. this col"}
{"subject": "math:Politeness_maxims", "predicate": "proves", "object": "according to geoffrey leech, there is a politeness principle with conversational maxims similar to t"}
{"subject": "math:Phenethyl_alcohol", "predicate": "proves", "object": "phenethyl alcohol, or 2-phenylethanol, is an organic compound with the chemical formula . it is a co"}
{"subject": "math:Diisopropylzinc", "predicate": "proves", "object": "diisopropylzinc is an organozinc compound with the chemical formula \nznc6h14.\n\nit is the key reagent"}
{"subject": "math:Parc_ferm\u00e9", "predicate": "proves", "object": "parc ferm\u00e9, literally meaning \"closed park\" in french, is a secure area at a motor racing circuit wh"}
{"subject": "math:QVE", "predicate": "proves", "object": "qve may refer to:\n\nquantificational variability effect \u2014 a linguistic observation about a feature of"}
{"subject": "math:Jeff_Dinitz", "predicate": "proves", "object": "jeffrey howard dinitz (born 1952) is an american mathematician who taught combinatorics at the unive"}
{"subject": "math:Gasp\u00e9ite", "predicate": "proves", "object": "gasp\u00e9ite, a very rare nickel carbonate mineral, with the formula , is named for the place it was fir"}
{"subject": "math:Ambient_isotopy", "predicate": "proves", "object": "in the mathematical subject of topology, an ambient isotopy, also called an h-isotopy, is a kind of "}
{"subject": "math:Prime_form", "predicate": "proves", "object": "in algebraic geometry, the schottky\u2013klein prime form e(x,y) of a compact riemann surface x depends o"}
{"subject": "math:Legendrian_knot", "predicate": "proves", "object": "in mathematics, a legendrian knot often refers to a smooth embedding of the circle into  which is ta"}
{"subject": "math:Grid_(spatial_index)", "predicate": "proves", "object": "in the context of a spatial index, a grid or mesh is a regular tessellation of a manifold or 2-d sur"}
{"subject": "math:Mary_Celine_Fasenmyer", "predicate": "proves", "object": "mary celine fasenmyer, rsm (october 4, 1906, crown, pennsylvania \u2013 december 27, 1996, erie, pennsylv"}
{"subject": "math:Ars_Magna_(Cardano_book)", "predicate": "proves", "object": "the ars magna (the great art, 1545) is an important latin-language book on algebra written by gerola"}
{"subject": "math:Indy_200_at_Mid-Ohio", "predicate": "proves", "object": "the honda indy 200 at mid-ohio is an indycar series race held at mid-ohio sports car course in lexin"}
{"subject": "math:Zeckendorf", "predicate": "proves", "object": "zeckendorf may refer to:\n\n edouard zeckendorf, belgian mathematician known for zeckendorf's theorem\n"}
{"subject": "math:Minimum_bounding_rectangle", "predicate": "proves", "object": "in computational geometry, the minimum bounding rectangle (mbr), also known as bounding box (bbox) o"}
{"subject": "math:Andreas_Wirth", "predicate": "proves", "object": "andreas wirth (born 19 november 1984 in heidelberg) is a german racing driver.  in 2004 wirth won th"}
{"subject": "math:The_Centipede's_Dilemma", "predicate": "proves", "object": "\"the centipede's dilemma\" is a short poem that has lent its name to a psychological effect called th"}
{"subject": "math:Benjamin_Graham_formula", "predicate": "proves", "object": "the  benjamin graham formula is a formula for the valuation of growth stocks.\n\nit was proposed by in"}
{"subject": "math:Stolarsky_mean", "predicate": "proves", "object": "in mathematics, the stolarsky mean is a generalization of the logarithmic mean. it was introduced by"}
{"subject": "math:Identric_mean", "predicate": "proves", "object": "the identric mean of two positive real numbers x,\u00a0y is defined as: \n\nit can be derived from the mean"}
{"subject": "math:Super_1600", "predicate": "proves", "object": "super 1600, also known as s1600, is a rally car formula that was primarily used in the junior world "}
{"subject": "math:Integrated_mathematics", "predicate": "proves", "object": "integrated mathematics is the term used in the united states to describe the style of mathematics ed"}
{"subject": "math:1999_International_Formula_3000_Championship", "predicate": "proves", "object": "the 1999 international formula 3000 season was the thirty-third season of the second-tier of formula"}
{"subject": "math:Maur\u00edcio_Peixoto", "predicate": "proves", "object": "maur\u00edcio matos peixoto, (april 15, 1921, in fortaleza, cear\u00e1 \u2013 april 28, 2019, in rio de janeiro), w"}
{"subject": "math:Career_portfolio", "predicate": "proves", "object": "career portfolios help document education, work samples and skills. people use career portfolios to "}
{"subject": "math:Ferrari_F399", "predicate": "proves", "object": "the ferrari f399 was the car with which the ferrari team competed in the 1999 formula one world cham"}
{"subject": "math:C6H8O6", "predicate": "proves", "object": "{{displaytitle:c6h8o6}}\nthe molecular formula c6h8o6 (molar mass: 176.124 g/mol) may be:\n\n ascorbic "}
{"subject": "math:Williams_FW21", "predicate": "proves", "object": "the williams fw21 was the car the williams formula one team used to compete in the 1999 formula one "}
{"subject": "math:Discrete_dipole_approximation", "predicate": "proves", "object": "discrete dipole approximation (dda), also known as coupled dipole approximation, is a method for com"}
{"subject": "math:Jape", "predicate": "proves", "object": "jape is a synonym for a practical joke.\n\njape or jape may also refer to:\n\n jape (band), an irish ele"}
{"subject": "math:Dalifol_&_Thomas", "predicate": "proves", "object": "the dalifoil & thomas was a french automobile manufactured from 1896 until 1898.  a voiturette built"}
{"subject": "math:Equilateral_(disambiguation)", "predicate": "proves", "object": "equilateral can refer to:\n\nequilateral polygon, in geometry\nequilateral triangle, in geometry\nequila"}
{"subject": "math:Period_(algebraic_geometry)", "predicate": "proves", "object": "in algebraic geometry, a period is a number that can be expressed as an integral of an algebraic fun"}
{"subject": "math:Jordan_199", "predicate": "proves", "object": "the jordan 199 was the car with which the jordan formula one team competed in the 1999 formula one s"}
{"subject": "math:Picryl_chloride", "predicate": "proves", "object": "picryl chloride is an organic compound with the formula clc6h2(no2)3.  it is a bright yellow solid t"}
{"subject": "math:Ferrari_F300", "predicate": "proves", "object": "the ferrari f300 was a formula one car that the ferrari team competed with for the 1998 formula one "}
{"subject": "math:Benetton_B199", "predicate": "proves", "object": "the benetton b199 is a formula one racing car with which the benetton team competed in the 1999 form"}
{"subject": "math:Compact_convergence", "predicate": "proves", "object": "in mathematics compact convergence (or uniform convergence on compact sets) is a type of convergence"}
{"subject": "math:Paceband", "predicate": "proves", "object": "a paceband is a wristband, sometimes made of a strip of waterproof paper, that lists expected split "}
{"subject": "math:Phosphazene", "predicate": "proves", "object": "phosphazenes refer to classes of organophosphorus compounds featuring phosphorus(v) with a double bo"}
{"subject": "math:Kefauver\u2013Harris_Amendment", "predicate": "proves", "object": "the u.s. kefauver\u2013harris amendment or \"drug efficacy amendment\" is a 1962 amendment to the federal f"}
{"subject": "math:Tetrathiafulvalene", "predicate": "proves", "object": "tetrathiafulvalene (ttf) is an organosulfur compound with the formula (. studies on this heterocycli"}
{"subject": "math:Karl_Mollweide", "predicate": "proves", "object": "karl brandan mollweide (3 february 1774 \u2013 10 march 1825) was a german mathematician and astronomer w"}
{"subject": "math:Baer_ring", "predicate": "proves", "object": "in abstract algebra and functional analysis,  baer rings, baer *-rings, rickart rings, rickart *-rin"}
{"subject": "math:Projects_for_Assistance_in_Transition_from_Homeles", "predicate": "proves", "object": "created under the mckinney-vento act, the path (projects for assistance in transition from homelessn"}
{"subject": "math:Zero_object_(algebra)", "predicate": "proves", "object": "in algebra, the zero object of a given algebraic structure is, in the sense explained below, the sim"}
{"subject": "math:Tom_Ferrier", "predicate": "proves", "object": "tom ferrier (born 14 november 1981) is a british racing driver. he had a long running karting career"}
{"subject": "math:Adult_Crash", "predicate": "proves", "object": "adult crash is the third album by new york city band, leeway. it was released in october, 1994 on bu"}
{"subject": "math:Soddy's_hexlet", "predicate": "proves", "object": "in geometry, soddy's hexlet is a chain of six spheres (shown in grey in figure 1), each of which is "}
{"subject": "math:Isobutylgermane", "predicate": "proves", "object": "isobutylgermane (ibge, chemical formula: (ch3)2chch2geh3, is an organogermanium compound.  it is a c"}
{"subject": "math:Theorem_of_corresponding_states", "predicate": "proves", "object": "according to van der waals, the theorem of corresponding states (or principle/law of corresponding s"}
{"subject": "math:Parabolic_partial_differential_equation", "predicate": "proves", "object": "a parabolic partial differential equation is a type of partial differential equation (pde). paraboli"}
{"subject": "math:Banana_leaf", "predicate": "proves", "object": "the banana leaf is the leaf of the banana plant, which may produce up to 40 leaves in a growing cycl"}
{"subject": "math:Rolex_Submariner", "predicate": "proves", "object": "the rolex oyster perpetual submariner is a line of sports watches designed for diving and manufactur"}
{"subject": "math:Damson_gin", "predicate": "proves", "object": "damson gin is a liqueur, usually homemade, made from damson plums macerated in a sugar and gin syrup"}
{"subject": "math:Sport_in_Spain", "predicate": "proves", "object": "sport in spain in the second half of the 20th century has always been dominated byfortnite  football"}
{"subject": "math:Composition_of_relations", "predicate": "proves", "object": "in the mathematics of binary relations, the composition of relations is the forming of a new binary "}
{"subject": "math:Alexandros_Margaritis", "predicate": "proves", "object": "alexandros \"alex\" margaritis (; born 20 september 1984) is a greek-german racing driver who is best "}
{"subject": "math:C15H24O", "predicate": "proves", "object": "{{displaytitle:c15h24o}}\nthe molecular formula c15h24o may refer to:\n\n butylated hydroxytoluene, a f"}
{"subject": "math:Open_Mouth_Kiss", "predicate": "proves", "object": "open mouth kiss is the fourth album by new york band, leeway. it was released in 1995 on bulletproof"}
{"subject": "math:Morphism_of_schemes", "predicate": "proves", "object": "in algebraic geometry, a morphism of schemes generalizes a morphism of algebraic varieties just as a"}
{"subject": "math:Gabriel_Kron", "predicate": "proves", "object": "gabriel kron (1901 \u2013 1968) was a hungarian american electrical engineer who promoted the use of meth"}
{"subject": "math:Sauber_C18", "predicate": "proves", "object": "the sauber c18 was the car with which the sauber team competed in the 1999 formula one world champio"}
{"subject": "math:Sulfenic_acid", "predicate": "proves", "object": "in chemistry, a sulfenic acid is an organosulfur compound and oxoacid with the general formula . it "}
{"subject": "math:Dewar_benzene", "predicate": "proves", "object": "dewar benzene (also spelled dewarbenzene) or bicyclo[2.2.0]hexa-2,5-diene is a bicyclic isomer of be"}
{"subject": "math:Nicolaus", "predicate": "proves", "object": "nicolaus is a masculine given name. it is a latin, greek and german form of nicholas. nicolaus may r"}
{"subject": "math:Rhinos_Milano", "predicate": "proves", "object": "{\n  \"type\": \"featurecollection\",\n  \"features\": [\n    {\n      \"type\": \"feature\",\n      \"properties\": "}
{"subject": "math:Minkowski\u2013Steiner_formula", "predicate": "proves", "object": "in mathematics, the minkowski\u2013steiner formula is a formula relating the surface area and volume of c"}
{"subject": "math:Brunn\u2013Minkowski_theorem", "predicate": "proves", "object": "in mathematics, the brunn\u2013minkowski theorem (or brunn\u2013minkowski inequality) is an inequality relatin"}
{"subject": "math:Arrows_A20", "predicate": "proves", "object": "the arrows a20 was the car with which the arrows formula one team competed in the 1999 formula one w"}
{"subject": "math:Jung's_theorem", "predicate": "proves", "object": "in geometry, jung's theorem is an inequality between the diameter of a set of points in any euclidea"}
{"subject": "math:Stewart_SF3", "predicate": "proves", "object": "the stewart sf3 was the formula one car the stewart grand prix team used to compete in the 1999 form"}
{"subject": "math:Moonshine_(disambiguation)", "predicate": "proves", "object": "moonshine is illicitly distilled high-proof liquor.\n\nmoonshine may also refer to:\n\nmoonlight, the li"}
{"subject": "math:Lindstr\u00f6m's_theorem", "predicate": "proves", "object": "in mathematical logic, lindstr\u00f6m's theorem (named after swedish logician per lindstr\u00f6m, who publishe"}
{"subject": "math:Dynamical_time_scale", "predicate": "proves", "object": "in time standards, dynamical time is the independent variable of the equations of celestial mechanic"}
{"subject": "math:Brauer\u2013Siegel_theorem", "predicate": "proves", "object": "in mathematics, the brauer\u2013siegel theorem, named after richard brauer and carl ludwig siegel, is an "}
{"subject": "math:Hypercycle_(geometry)", "predicate": "proves", "object": "in hyperbolic geometry, a hypercycle, hypercircle or equidistant curve is a curve whose points have "}
{"subject": "math:Hypercycle", "predicate": "proves", "object": "hypercycle may refer to:\n hypercycle (chemistry), a kind of reaction network prominent in a theory o"}
{"subject": "math:Stable_group", "predicate": "proves", "object": "in model theory, a stable group is a group that is stable in the sense of stability theory. \nan impo"}
{"subject": "math:Continuous_group_action", "predicate": "proves", "object": "in topology, a continuous group action on a topological space x is a group action of a topological g"}
{"subject": "math:Side_Hustles", "predicate": "proves", "object": "side hustles is the second compilation album by american southern hip hop duo ugk. it was released o"}
{"subject": "math:Conjugate_(square_roots)", "predicate": "proves", "object": "in mathematics, the conjugate of an expression of the form  is  provided that  does not appear in  a"}
{"subject": "math:Corderoite", "predicate": "proves", "object": "corderoite is an extremely rare mercury sulfide chloride mineral with formula hg3s2cl2. it crystalli"}
{"subject": "math:Titanowodginite", "predicate": "proves", "object": "titanowodginite is a mineral with the chemical formula mntita2o8. titanowodginite has a mohs hardnes"}
{"subject": "math:Proofs_of_trigonometric_identities", "predicate": "proves", "object": "there are several equivalent ways for defining trigonometric functions, and the proof of the trigono"}
{"subject": "math:Cell_notation", "predicate": "proves", "object": "cell notation or cell representation in chemistry is a shorthand method of expressing a reaction in "}
{"subject": "math:Jeff_Wood_(racing_driver)", "predicate": "proves", "object": "jeff wood (born january 20, 1957) is an american former race car driver born in wichita, kansas. he "}
{"subject": "math:Williams_FW27", "predicate": "proves", "object": "the williams fw27 was the formula one car which the williams team used during the 2005 formula one s"}
{"subject": "math:Clifford_Nass", "predicate": "proves", "object": "clifford ivar nass (april 3, 1958 \u2013 november 2, 2013) was a professor of communication at stanford u"}
{"subject": "math:Tacnode", "predicate": "proves", "object": "in classical algebraic geometry, a tacnode (also called a point of osculation or double cusp) is a k"}
{"subject": "math:Gismondine", "predicate": "proves", "object": "gismondine is a mineral with the chemical formula caal2si2o8\u00b74(h2o).  it is a zeolite or hydrated al"}
{"subject": "math:Eucryptite", "predicate": "proves", "object": "eucryptite is a lithium bearing aluminium silicate mineral with formula lialsio4. it crystallizes in"}
{"subject": "math:Prost_AP02", "predicate": "proves", "object": "the prost ap02 was the car with which the prost formula one team competed in the 1999 formula one se"}
{"subject": "math:Minardi_M01", "predicate": "proves", "object": "the minardi m01 was the car with which the minardi formula one team competed in the 1999 formula one"}
{"subject": "math:2,6-Dimethylpiperidine", "predicate": "proves", "object": "2,6-dimethylpiperidines are chemical compounds with the formula c5h8(ch3)2nh.  three stereoisomers e"}
{"subject": "math:BAR_01", "predicate": "proves", "object": "the bar 01 (also known as bar pr01) was the car with which the british american racing formula one t"}
{"subject": "math:Principles_of_intelligent_urbanism", "predicate": "proves", "object": "principles of intelligent urbanism (piu) is a theory of urban planning composed of a set of ten axio"}
{"subject": "math:Ferrari_F2004", "predicate": "proves", "object": "the ferrari f2004 is a highly successful formula one racing car that was used by ferrari for the 200"}
{"subject": "math:Ferrari_F2003-GA", "predicate": "proves", "object": "the ferrari f2003-ga was a highly successful car used by scuderia ferrari in the 2003 formula one wo"}
{"subject": "math:Basic_beryllium_acetate", "predicate": "proves", "object": "basic beryllium acetate is the chemical compound with the formula be4o(o2cch3)6. this compound adopt"}
{"subject": "math:Breadfan", "predicate": "proves", "object": "\"breadfan\" is a song by welsh heavy metal band budgie, appearing on their 1973 album never turn your"}
{"subject": "math:Green's_function_for_the_three-variable_Laplace_eq", "predicate": "proves", "object": "in physics, the green's function (or fundamental solution) for laplace's equation in three variables"}
{"subject": "math:Hyperconnected_space", "predicate": "proves", "object": "in the mathematical field of topology, a hyperconnected space or irreducible space is a topological "}
{"subject": "math:1979_Machchhu_dam_failure", "predicate": "proves", "object": "{\n\t\"type\": \"featurecollection\",\n\t\"features\": [\t\t{\n\t\t\t\"type\": \"feature\",\n\t\t\t\"properties\": { \"marker-s"}
{"subject": "math:P75", "predicate": "proves", "object": "p75 may refer to:\n\n boulton paul p.75 overstrand, a british bomber aircraft\n brm p75, a formula one "}
{"subject": "math:\u00c9tienne_Ghys", "predicate": "proves", "object": "\u00e9tienne ghys (born 29 december 1954) is a french mathematician. his research focuses mainly on geome"}
{"subject": "math:Steinmetz_solid", "predicate": "proves", "object": "in geometry, a steinmetz solid is the solid body obtained as the intersection of two or three cylind"}
{"subject": "math:W._R._(Red)_Alford", "predicate": "proves", "object": "william robert \"red\" alford, ph.d, j.d. (july 21, 1937 \u2013 may 29, 2003) was an american mathematician"}
{"subject": "math:Davenport_Tablets", "predicate": "proves", "object": "the davenport tablets are three inscribed slate tablets found in mounds near davenport, iowa on janu"}
{"subject": "math:Tri-Power", "predicate": "proves", "object": "tri-power was the name for an arrangement of three two-barrel carburetors installed on large perform"}
{"subject": "math:Pierre_de_Fermat", "predicate": "proves", "object": "pierre de fermat (; between 31 october and 6 december 1607 \u2013 12 january 1665) was a french mathemati"}
{"subject": "math:Beckman\u2013Quarles_theorem", "predicate": "proves", "object": "in geometry, the beckman\u2013quarles theorem states that if a transformation of the euclidean plane or a"}
{"subject": "math:Benzylideneacetone", "predicate": "proves", "object": "benzylideneacetone is the organic compound described by the formula c6h5ch=chc(o)ch3.  although both"}
{"subject": "math:Adjusted_ERA+", "predicate": "proves", "object": "adjusted era+, often simply abbreviated to era+ or era plus, is a pitching statistic in baseball. it"}
{"subject": "math:Dispersion_point", "predicate": "proves", "object": "in topology, a dispersion point or explosion point is a point in a topological space the removal of "}
{"subject": "math:(Benzylideneacetone)iron_tricarbonyl", "predicate": "proves", "object": "(benzylideneacetone)iron tricarbonyl is the organoiron compound with the formula (chch=chc(o)ch)fe(c"}
{"subject": "math:Shamsur_Rahman_Faruqi", "predicate": "proves", "object": "shamsur rahman faruqi (30 september 1935 \u2013 25 december 2020) was an indian urdu language poet, autho"}
{"subject": "math:Society_of_Vijayanagara_empire", "predicate": "proves", "object": "the period of the vijayanagara empire is considered an age of prosperity in south india in the 14th "}
{"subject": "math:Optical_sine_theorem", "predicate": "proves", "object": "in optics, the optical sine theorem states that the products of the index, height, and sine of the s"}
{"subject": "math:Witness-indistinguishable_proof", "predicate": "proves", "object": "a witness-indistinguishable proof (wip) is a variant of a zero-knowledge proof for languages in np. "}
{"subject": "math:5-orthoplex", "predicate": "proves", "object": "in five-dimensional geometry, a 5-orthoplex, or 5-cross polytope, is a five-dimensional polytope wit"}
{"subject": "math:1998_International_Formula_3000_Championship", "predicate": "proves", "object": "the 1998 international formula 3000 championship was the thirty-second season of the second-tier of "}
{"subject": "math:Counter-machine_model", "predicate": "proves", "object": "there are many variants of the counter machine, among them those of hermes, ershov, p\u00e9ter, minsky, l"}
{"subject": "math:Williams_FW20", "predicate": "proves", "object": "the williams fw20 was the car with which the williams formula one team competed in the 1998 formula "}
{"subject": "math:Birmingham_Superprix", "predicate": "proves", "object": "birmingham superprix was a motor racing meeting held on a street circuit in birmingham city centre, "}
{"subject": "math:Benetton_B198", "predicate": "proves", "object": "the benetton b198 is a formula one racing car with which the benetton formula one team competed in t"}
{"subject": "math:One-sided", "predicate": "proves", "object": "one-sided may refer to:\n\n biased\n one-sided argument, a logical fallacy\n in calculus, one-sided limi"}
{"subject": "math:Autocourse", "predicate": "proves", "object": "autocourse is a series of annuals covering motor racing, and formula one in particular.  the annuals"}
{"subject": "math:Archibald_Read_Richardson", "predicate": "proves", "object": "archibald read richardson frs (21 august 1881 \u2013 4 november 1954) was a british mathematician known f"}
{"subject": "math:Waferboard", "predicate": "proves", "object": "waferboard belongs to the subset of reconstituted wood panel products called flakeboards. it is a st"}
{"subject": "math:Hall_algebra", "predicate": "proves", "object": "in mathematics, the hall algebra is an associative algebra with a basis corresponding to isomorphism"}
{"subject": "math:James_Munkres", "predicate": "proves", "object": "james raymond munkres (born august 18, 1930) is a professor emeritus of mathematics at mit and the a"}
{"subject": "math:Narrowing", "predicate": "proves", "object": "narrowing may refer to:\nnarrowing (computer science), a type of algorithm for solving equations betw"}
{"subject": "math:Primon_gas", "predicate": "proves", "object": "in mathematical physics, the primon gas or riemann gas discovered by bernard julia  is a model illus"}
{"subject": "math:2007_GP2_Series", "predicate": "proves", "object": "the 2007 gp2 series season was the forty-first season of the second-tier of formula one feeder champ"}
{"subject": "math:Computation_history", "predicate": "proves", "object": "in computer science, a computation history is a sequence of steps taken by an abstract machine in th"}
{"subject": "math:Hilbert_dimension", "predicate": "proves", "object": "in mathematics the term hilbert dimension may refer to:\n\n hilbert space dimension\n hilbert dimension"}
{"subject": "math:Hilbert_algebra", "predicate": "proves", "object": "in mathematics, hilbert algebras and left hilbert algebras occur in the theory of von neumann algebr"}
{"subject": "math:Rosenfeld's_law", "predicate": "proves", "object": "rosenfeld's law is an axiom relating physics to economics, that states that the amount of energy req"}
{"subject": "math:Ronald_Gillespie", "predicate": "proves", "object": "ronald james gillespie,  (august 21, 1924 \u2013 february 26, 2021) was a british chemist specializing in"}
{"subject": "math:Tetralemma", "predicate": "proves", "object": "the tetralemma is a figure that features prominently in the logic of india.\n\ndefinition\nit states th"}
{"subject": "math:Noise_margin", "predicate": "proves", "object": "in electrical engineering, noise margin is the maximum voltage amplitude of extraneous signal that c"}
{"subject": "math:Juan_Jover", "predicate": "proves", "object": "juan jover sa\u00f1es (23 november 1903 \u2013 28 june 1960) was a spanish racing driver, born in barcelona. w"}
{"subject": "math:Spouge's_approximation", "predicate": "proves", "object": "in mathematics, spouge's approximation is a formula for computing an approximation of the gamma func"}
{"subject": "math:1994_in_heavy_metal_music", "predicate": "proves", "object": "this is a timeline documenting the events of heavy metal music in the year 1994.\n\nnewly formed bands"}
{"subject": "math:P-matrix", "predicate": "proves", "object": "in mathematics, a -matrix is a complex square matrix with every principal minor  is positive. a clos"}
{"subject": "math:Jordan_198", "predicate": "proves", "object": "the jordan 198 was the formula one car with which the jordan team competed in the 1998 formula one w"}
{"subject": "math:Hyperfinite", "predicate": "proves", "object": "hyperfinite may refer to:\n\n hyperfinite set, a type of internal set in non-standard analysis\n hyperf"}
{"subject": "math:Krylov\u2013Bogolyubov_theorem", "predicate": "proves", "object": "in mathematics, the krylov\u2013bogolyubov theorem (also known as the existence of invariant measures the"}
{"subject": "math:Barium_peroxide", "predicate": "proves", "object": "barium peroxide is an inorganic compound with the formula bao2.  this white solid (gray when impure)"}
{"subject": "math:Non-exact_solutions_in_general_relativity", "predicate": "proves", "object": "non-exact solutions in general relativity are solutions of albert einstein's field equations of gene"}
{"subject": "math:Diatomic_carbon", "predicate": "proves", "object": "diatomic carbon (systematically named dicarbon and 1\u03bb2,2\u03bb2-ethene), is a green, gaseous inorganic ch"}
{"subject": "math:Ligier_JS11", "predicate": "proves", "object": "the ligier js11 was a ground effect formula one car designed by g\u00e9rard ducarouge. it was powered by "}
{"subject": "math:Japan_at_the_1912_Summer_Olympics", "predicate": "proves", "object": "the empire of japan competed at the summer olympic games for the first time at the 1912 summer olymp"}
{"subject": "math:Map_algebra", "predicate": "proves", "object": "map algebra is an algebra for manipulating geographic data, primarily  fields. developed by dr. dana"}
{"subject": "math:Williams_FW18", "predicate": "proves", "object": "the williams fw18, also known as the williams-renault fw18, is one of the most successful formula on"}
{"subject": "math:Trifluoromethyl_group", "predicate": "proves", "object": "the trifluoromethyl group is a functional group that has the formula -cf3. the naming of is group is"}
{"subject": "math:Methyl_trifluoromethanesulfonate", "predicate": "proves", "object": "methyl trifluoromethanesulfonate, also commonly called methyl triflate and abbreviated meotf, is the"}
{"subject": "math:Methyl_fluorosulfonate", "predicate": "proves", "object": "methyl fluorosulfonate, also known as magic methyl, is the organic compound with the formula fso2och"}
{"subject": "math:Schwartz_kernel_theorem", "predicate": "proves", "object": "in mathematics, the schwartz kernel theorem is a foundational result in the theory of generalized fu"}
{"subject": "math:Prost_AP01", "predicate": "proves", "object": "the prost ap01 was the car with which the prost team competed in the 1998 formula one world champion"}
{"subject": "math:2005_Italian_Superturismo_Championship", "predicate": "proves", "object": "the 2005 campionato italiano superturismo season was the fourth season of the italian superturismo c"}
{"subject": "math:Sauber_C17", "predicate": "proves", "object": "the sauber c17 was the car with which the sauber formula one team competed in the 1998 formula one s"}
{"subject": "math:Stefano_Domenicali", "predicate": "proves", "object": "stefano domenicali (born 11 may 1965) is an italian manager and the current ceo of formula one group"}
{"subject": "math:Phenylmagnesium_bromide", "predicate": "proves", "object": "phenylmagnesium bromide, with the simplified formula , is a magnesium-containing organometallic comp"}
{"subject": "math:Perceptual_paradox", "predicate": "proves", "object": "a perceptual paradox illustrates the failure of a theoretical prediction.  theories of perception ar"}
{"subject": "math:PCB_congener_list", "predicate": "proves", "object": "this is a complete list of polychlorinated biphenyl (pcb) congeners.\n\npcb congener list\n\nexplanation"}
{"subject": "math:Szilassi_polyhedron", "predicate": "proves", "object": "in geometry, the szilassi polyhedron is a nonconvex polyhedron, topologically a torus, with seven he"}
{"subject": "math:Triosmium_dodecacarbonyl", "predicate": "proves", "object": "triosmium dodecacarbonyl is a chemical compound with the formula os3(co)12.  this yellow-colored met"}
{"subject": "math:White,_Hot_and_Blue", "predicate": "proves", "object": "white, hot and blue is a 1978 album by johnny winter. following on from the previous year's nothin' "}
{"subject": "math:Dan-Virgil_Voiculescu", "predicate": "proves", "object": "dan-virgil voiculescu (born 14 june 1949) is a romanian professor of mathematics at the university o"}
{"subject": "math:Argon_fluorohydride", "predicate": "proves", "object": "argon fluorohydride (systematically named fluoridohydridoargon) or argon hydrofluoride is an inorgan"}
{"subject": "math:Disgregation", "predicate": "proves", "object": "in the history of thermodynamics, disgregation is an early formulation of the concept of entropy. it"}
{"subject": "math:Folk_mathematics", "predicate": "proves", "object": "folk mathematics may refer to:\n\n the mathematical folklore that circulates among mathematicians\n the"}
{"subject": "math:The_Proof_of_the_Man", "predicate": "proves", "object": "the proof of the man is a 1913 american silent short drama film starring alexander gaden, harry von "}
{"subject": "math:Gilles_Simon_(Formula_One)", "predicate": "proves", "object": "gilles simon (born 14 june 1958 in oujda, morocco) is a french formula one engineer and designer.\n\nc"}
{"subject": "math:GRAPE", "predicate": "proves", "object": "grape, or graphics programming environment is a software development environment for mathematical vi"}
{"subject": "math:Movable_singularity", "predicate": "proves", "object": "in the theory of ordinary differential equations, a movable singularity is a point where the solutio"}
{"subject": "math:Chad_Premier_League", "predicate": "proves", "object": "chad premier league (, also known as linafoot) is a chadian league for men's association football cl"}
{"subject": "math:David_Boshier-Jones", "predicate": "proves", "object": "david boshier-jones is a british racing driver, whose career ran from 1952 until his retirement in 1"}
{"subject": "math:List_of_Formula_One_fatalities", "predicate": "proves", "object": "formula one (f1) is the highest class of open-wheeled auto racing defined by the f\u00e9d\u00e9ration internat"}
{"subject": "math:Pythagorean_quadruple", "predicate": "proves", "object": "a pythagorean quadruple is a tuple of integers , , , and , such that . they are solutions of a dioph"}
{"subject": "math:Palatov_D1", "predicate": "proves", "object": "the palatov d1 is an american lightweight race car that was designed by dennis palatov and is manufa"}
{"subject": "math:David_P._Robbins", "predicate": "proves", "object": "david peter robbins (12 august 1942 in brooklyn \u2013 4 september 2003 in princeton) was an american mat"}
{"subject": "math:Local_Langlands_conjectures", "predicate": "proves", "object": "in mathematics, the local langlands conjectures, introduced by ,  are part of the langlands program."}
{"subject": "math:Scleronomous", "predicate": "proves", "object": "a mechanical system is scleronomous if the equations of constraints do not contain the time as an ex"}
{"subject": "math:Rheonomous", "predicate": "proves", "object": "a mechanical system is rheonomous if its equations of constraints contain the time as an explicit va"}
{"subject": "math:Brabham_BT52", "predicate": "proves", "object": "the brabham bt52 was a formula one car designed for the brabham team by longtime brabham designer go"}
{"subject": "math:Benetton_B194", "predicate": "proves", "object": "the benetton b194 is a formula one racing car designed by rory byrne for use by the benetton team in"}
{"subject": "math:Benetton_B195", "predicate": "proves", "object": "the benetton b195 is a formula one racing car designed by rory byrne and ross brawn for use by the b"}
{"subject": "math:Normal_coordinates", "predicate": "proves", "object": "in differential geometry, normal coordinates at a point p in a differentiable manifold equipped with"}
{"subject": "math:Coordinate-induced_basis", "predicate": "proves", "object": "in mathematics, a coordinate-induced basis is a basis for the tangent space or cotangent space of a "}
{"subject": "math:Arrows_A19", "predicate": "proves", "object": "the arrows a19 was the car with which the arrows formula one team competed in the 1998 formula one w"}
{"subject": "math:F1_ROC_II:_Race_of_Champions", "predicate": "proves", "object": "f1 roc ii: race of champions, originally released in japan as , is a 1993 racing video game develope"}
{"subject": "math:Nicholas_Shepherd-Barron", "predicate": "proves", "object": "nicholas ian shepherd-barron, frs (born 17 march 1955), is a british mathematician working in algebr"}
{"subject": "math:Plaster_veneer", "predicate": "proves", "object": "plaster veneer (us terminology) or plaster skim (uk terminology) is a construction methodology for s"}
{"subject": "math:Emma_Lehmer", "predicate": "proves", "object": "emma markovna lehmer (n\u00e9e trotskaia) (november 6, 1906 \u2013 may 7, 2007) was a mathematician known for "}
{"subject": "math:Hyponitrous_acid", "predicate": "proves", "object": "hyponitrous acid is a chemical compound with formula  or hon=noh.  it is an isomer of nitramide, h2n"}
{"subject": "math:Stewart_SF02", "predicate": "proves", "object": "the stewart sf02 was the car with which the stewart formula one team used to compete in the 1998 for"}
{"subject": "math:Tyrrell_026", "predicate": "proves", "object": "the tyrrell 026 was the car with which the tyrrell formula one team competed in the 1998 formula one"}
{"subject": "math:Chabauty_topology", "predicate": "proves", "object": "in mathematics, the chabauty topology is a certain topological structure introduced in 1950 by claud"}
{"subject": "math:Donaldson_theory", "predicate": "proves", "object": "in mathematics, and especially gauge theory, donaldson theory is the study of the topology of smooth"}
{"subject": "math:CLHEP", "predicate": "proves", "object": "clhep (short for a class library for high energy physics) is a c++ library that provides utility cla"}
{"subject": "math:Gr\u00f6tzsch_graph", "predicate": "proves", "object": "in the mathematical field of graph theory, the gr\u00f6tzsch graph is a triangle-free graph with 11 verti"}
{"subject": "math:Leonidas_Alaoglu", "predicate": "proves", "object": "leonidas (leon) alaoglu (; march 19, 1914 \u2013 august 1981) was a mathematician, known for his result, "}
{"subject": "math:Ferrari_637", "predicate": "proves", "object": "the ferrari 637 was a ferrari racing car designed to run in the american cart series. it was designe"}
{"subject": "math:Tyrrell_003", "predicate": "proves", "object": "the tyrrell 003 is a formula one (f1) racing car which was designed by tyrrell's chief designer, der"}
{"subject": "math:Minardi_M198", "predicate": "proves", "object": "the minardi m198 was the car with which the minardi formula one team used to compete in the 1998 fia"}
{"subject": "math:Triruthenium_dodecacarbonyl", "predicate": "proves", "object": "triruthenium dodecacarbonyl is the chemical compound with the formula ru3(co)12.   classified as met"}
{"subject": "math:Frank\u2013Tamm_formula", "predicate": "proves", "object": "the frank\u2013tamm formula yields the amount of cherenkov radiation emitted on a given frequency as a ch"}
{"subject": "math:Nikolas_Tombazis", "predicate": "proves", "object": "nikolas tombazis (; born 22 april 1968 in athens, greece) is a racing car designer who has worked in"}
{"subject": "math:Jak\u0161a_Cvitani\u0107", "predicate": "proves", "object": "jak\u0161a cvitani\u0107 (born 1962 in split, croatia, yugoslavia) is a richard n. merkin professor of mathema"}
{"subject": "math:Vladimir_Abramovich_Rokhlin", "predicate": "proves", "object": "vladimir abramovich rokhlin (russian: \u0432\u043b\u0430\u0434\u0438\u0301\u043c\u0438\u0440 \u0430\u0431\u0440\u0430\u0301\u043c\u043e\u0432\u0438\u0447 \u0440\u043e\u0301\u0445\u043b\u0438\u043d) (23 august 1919 \u2013 3 december 198"}
{"subject": "math:Bismuth_chloride", "predicate": "proves", "object": "bismuth chloride (or butter of bismuth) is an inorganic compound with the chemical formula bicl3.  i"}
{"subject": "math:Dennis_Barden", "predicate": "proves", "object": "dennis barden is a mathematician at the university of cambridge working in the fields of geometry an"}
{"subject": "math:Water_seal", "predicate": "proves", "object": "water seal may refer to:\n\nliquid trap seal in plumbing traps\nunderwater seal in pleural drainage app"}
{"subject": "math:Susie_Wolff", "predicate": "proves", "object": "suzanne wolff  ( stoddart; born 6 december 1982) is a scottish former professional racing driver and"}
{"subject": "math:British_Formula_Three_Championship", "predicate": "proves", "object": "british formula three championship may refer to:\n\nbritish formula 3 international series, a class of"}
{"subject": "math:The_Collected_Works_of_Tourniquet", "predicate": "proves", "object": "the collected works of tourniquet is the first compilation album by the american christian metal ban"}
{"subject": "math:Steve_Hofmann", "predicate": "proves", "object": "steve hofmann is a mathematician who helped solve the famous kato's conjecture. said hofmann, \u201cit's "}
{"subject": "math:Fran\u00e7ois-Romain_Lh\u00e9risson", "predicate": "proves", "object": "fran\u00e7ois-romain lh\u00e9risson (1798\u20131859) was a haitian poet and educator. he was born and later taught "}
{"subject": "math:Cultural_assimilation_of_Native_Americans", "predicate": "proves", "object": "a series of efforts were made by the united states to assimilate native americans into mainstream eu"}
{"subject": "math:Mestranol", "predicate": "proves", "object": "mestranol, sold under the brand names enovid, norinyl, and ortho-novum among others, is an estrogen "}
{"subject": "math:Siegel_modular_form", "predicate": "proves", "object": "in mathematics, siegel modular forms are a major type of automorphic form. these generalize conventi"}
{"subject": "math:Paul_Wolfskehl", "predicate": "proves", "object": "paul friedrich wolfskehl (30 june 1856 in darmstadt \u2013 13 september 1906 in darmstadt), was a physici"}
{"subject": "math:Markus\u2013Yamabe_conjecture", "predicate": "proves", "object": "in mathematics, the markus\u2013yamabe conjecture is a conjecture on global asymptotic stability. if the "}
{"subject": "math:Perfluoro_tert-butylcyclohexane", "predicate": "proves", "object": "perfluoro tert-butylcyclohexane is a per-fluorinated chemical compound (or perfluorocarbon, pfc).  i"}
{"subject": "math:Grand_Prix_Construction_Set", "predicate": "proves", "object": "grand prix construction set is a racing video game for the bbc micro released in 1987 by superior so"}
{"subject": "math:Ferrari_F60", "predicate": "proves", "object": "the ferrari f60 is a formula one motor racing car, which scuderia ferrari used to compete in the 200"}
{"subject": "math:Marchy_Lee", "predicate": "proves", "object": "marchy lee ying-kin (traditional chinese: \u674e\u82f1\u5065) is a racing driver from hong kong. born in 1976 in ho"}
{"subject": "math:Aquamid", "predicate": "proves", "object": "aquamid is a non-absorbable soft volume filler for aesthetic and reconstructive purposes. aquamid is"}
{"subject": "math:Conditional_event_algebra", "predicate": "proves", "object": "a standard, boolean algebra of events is a set of events related to one another by the familiar oper"}
{"subject": "math:Goldie's_theorem", "predicate": "proves", "object": "in mathematics, goldie's theorem is a basic structural result in ring theory, proved by alfred goldi"}
{"subject": "math:Elasticity_tensor", "predicate": "proves", "object": "the elasticity tensor is a fourth-rank tensor describing the stress-strain relation in\na linear elas"}
{"subject": "math:Semiprime_ring", "predicate": "proves", "object": "in ring theory, a branch of mathematics, semiprime ideals and semiprime rings are generalizations of"}
{"subject": "math:Commutative_magma", "predicate": "proves", "object": "in mathematics, there exist magmas that are commutative but not associative. a simple example of suc"}
{"subject": "math:Deductive_closure", "predicate": "proves", "object": "in mathematical logic, a set  of logical formulae is deductively closed if it contains every formula"}
{"subject": "math:Andrews\u2013Curtis_conjecture", "predicate": "proves", "object": "in mathematics, the andrews\u2013curtis conjecture states that every balanced presentation of the trivial"}
{"subject": "math:2007_British_Formula_3_International_Series", "predicate": "proves", "object": "the 2007 british formula 3 international series was the 57th british formula 3 international series "}
{"subject": "math:Leo_Mansell", "predicate": "proves", "object": "leo james mansell (born 4 january 1985 on the isle of man) is a british racing driver. he is the son"}
{"subject": "math:Greg_Mansell", "predicate": "proves", "object": "greg nigel mansell (born 8 november 1987) is a british racing driver and road cyclist, currently rac"}
{"subject": "math:Otero_Mesa", "predicate": "proves", "object": "{\n  \"type\": \"featurecollection\",\n  \"features\": [\n    {\n      \"type\": \"feature\",\n      \"properties\": "}
{"subject": "math:Fiber_bundle_construction_theorem", "predicate": "proves", "object": "in mathematics, the fiber bundle construction theorem is a theorem which constructs a fiber bundle f"}
{"subject": "math:5-manifold", "predicate": "proves", "object": "in mathematics, a 5-manifold is a 5-dimensional topological manifold, possibly with a piecewise line"}
{"subject": "math:Rademacher's_theorem", "predicate": "proves", "object": "in mathematical analysis, rademacher's theorem, named after hans rademacher, states the following: i"}
{"subject": "math:Fenske_equation", "predicate": "proves", "object": "the fenske equation in continuous fractional distillation is an equation used for calculating the mi"}
{"subject": "math:Borsuk's_conjecture", "predicate": "proves", "object": "the borsuk problem in geometry, for historical reasons incorrectly called borsuk's conjecture, is a "}
{"subject": "math:California_Suite_(film)", "predicate": "proves", "object": "california suite is a 1978 american anthology comedy film directed by herbert ross. the screenplay b"}
{"subject": "math:Mick_Schumacher", "predicate": "proves", "object": "mick schumacher (; born 22 march 1999) is a german racing driver who is the current reserve driver f"}
{"subject": "math:Birch\u2013Tate_conjecture", "predicate": "proves", "object": "the birch\u2013tate conjecture is a conjecture in mathematics (more specifically in algebraic k-theory) p"}
{"subject": "math:Agrinierite", "predicate": "proves", "object": "agrinierite (chemical formula ) is a mineral often found in the oxidation zone of uranium deposits. "}
{"subject": "math:Aguilarite", "predicate": "proves", "object": "aguilarite is an uncommon sulfosalt mineral with formula ag4ses. it was described in 1891 and named "}
{"subject": "math:Aheylite", "predicate": "proves", "object": "aheylite is a rare phosphate mineral with formula (fe2+zn)al6[(oh)4|(po4)2]2\u00b74(h2o). it occurs as pa"}
{"subject": "math:Nelenite", "predicate": "proves", "object": "nelenite is a rare manganese iron phyllosilicate arsenate mineral found in franklin furnace, new jer"}
{"subject": "math:Quantum_cohomology", "predicate": "proves", "object": "in mathematics, specifically in symplectic topology and algebraic geometry, a quantum cohomology rin"}
{"subject": "math:Asian_Formula_Three_Championship", "predicate": "proves", "object": "the asian formula three championship was a single-seater racing series based in south east asia. it "}
{"subject": "math:Signature_(logic)", "predicate": "proves", "object": "in logic, especially mathematical logic, a signature lists and describes the  non-logical symbols of"}
{"subject": "math:Tonelli", "predicate": "proves", "object": "tonelli is a surname, and may refer to:\n\n tonelli (surname)\n\narts\n tonelli (film), a 1943 german fil"}
{"subject": "math:Casner_Motor_Racing_Division", "predicate": "proves", "object": "casner motor racing division \u2013 also known as america camoradi (casner motor racing division), camora"}
{"subject": "math:Kapitan_(rank)", "predicate": "proves", "object": "kapitan (derived from ; before latin: capitaneus \u2013 (military) leader, count, or chairman of a parish"}
{"subject": "math:1997_International_Formula_3000_Championship", "predicate": "proves", "object": "the 1997 international formula 3000 season was the thirty-first season of the second-tier of formula"}
{"subject": "math:Hidetoshi_Mitsusada", "predicate": "proves", "object": "is a former racing driver and current motorsport announcer from japan. he currently serves as a comm"}
{"subject": "math:Literal_(mathematical_logic)", "predicate": "proves", "object": "in mathematical logic, a literal is an atomic formula (also known as an atom or prime formula) or it"}
{"subject": "math:Tropolone", "predicate": "proves", "object": "tropolone is an organic compound with the chemical formula .  it is a pale yellow solid that is solu"}
{"subject": "math:Diacetone_alcohol", "predicate": "proves", "object": "diacetone alcohol is an organic compound with the formula ch3c(o)ch2c(oh)(ch3)2, sometimes called da"}
{"subject": "math:TPD", "predicate": "proves", "object": "tpd can refer to:\n theory of positive disintegration\n temperature programmed desorption\n therapeutic"}
{"subject": "math:1st_Infantry_(album)", "predicate": "proves", "object": "1st infantry is the debut solo studio album by american hip hop producer and recording artist the al"}
{"subject": "math:Cafetite", "predicate": "proves", "object": "cafetite is a rare titanium oxide mineral with formula \u00b7.  it is named for its composition, ca-fe-ti"}
{"subject": "math:Klavierst\u00fccke_(Stockhausen)", "predicate": "proves", "object": "the klavierst\u00fccke (german for \"piano pieces\") constitute a series of nineteen compositions by german"}
{"subject": "math:Timelike_simply_connected", "predicate": "proves", "object": "suppose a lorentzian manifold contains a closed timelike curve (ctc). no ctc can be continuously def"}
{"subject": "math:James_Sutton_(racing_driver)", "predicate": "proves", "object": "james sutton (born 20 october 1985 in london) is a racing driver. he won the 2007 porsche carrera cu"}
{"subject": "math:The_Lost_Generation_(book)", "predicate": "proves", "object": "the lost generation: the brilliant but tragic lives of rising british f1 stars roger williamson, ton"}
{"subject": "math:Basu's_theorem", "predicate": "proves", "object": "in statistics, basu's theorem states that any boundedly complete minimal sufficient statistic is ind"}
{"subject": "math:Countably_generated_space", "predicate": "proves", "object": "in mathematics, a topological space  is called countably generated if the topology of  is determined"}
{"subject": "math:Arrows_A18", "predicate": "proves", "object": "the arrows a18 was the car with which the arrows formula one team competed in the 1997 formula one w"}
{"subject": "math:Bianchi_classification", "predicate": "proves", "object": "in mathematics, the bianchi classification provides a list of all real 3-dimensional lie algebras (u"}
{"subject": "math:Kelvin_Burt", "predicate": "proves", "object": "kelvin burt (born 7 september 1967 in birmingham) is a british auto racing driver. after attending t"}
{"subject": "math:Tight_span", "predicate": "proves", "object": "in metric geometry, the metric envelope or tight span of a metric space m is an injective metric spa"}
{"subject": "math:Nice_name", "predicate": "proves", "object": "in set theory, a nice name is used in forcing to impose an upper bound on the number of subsets in t"}
{"subject": "math:Lucas_islands_model", "predicate": "proves", "object": "the lucas islands model is an economic model of the link between money supply and price and output c"}
{"subject": "math:Distributive_law_between_monads", "predicate": "proves", "object": "in category theory, an abstract branch of mathematics, distributive laws between monads are a way to"}
{"subject": "math:Tetrated_dodecahedron", "predicate": "proves", "object": "in geometry, the tetrated dodecahedron is a near-miss johnson solid.  it was first discovered in 200"}
{"subject": "math:Hexlet", "predicate": "proves", "object": "hexlet may refer to:\n\nsoddy's hexlet, in geometry a chain of six spheres, each of which is tangent t"}
{"subject": "math:Interface_conditions_for_electromagnetic_fields", "predicate": "proves", "object": "interface conditions describe the behaviour of electromagnetic fields; electric field, electric disp"}
{"subject": "math:Fireproof_Recording", "predicate": "proves", "object": "fireproof recording is a recording studio, which became an important part of the indie music scene i"}
{"subject": "math:Williams_FW19", "predicate": "proves", "object": "the williams fw19 was the car with which the williams team competed in the 1997 formula one world ch"}
{"subject": "math:Umbite", "predicate": "proves", "object": "umbite (chemical formula ) is a potassium zirconosilicate mineral found in northern russia. named af"}
{"subject": "math:Smooth_morphism", "predicate": "proves", "object": "in algebraic geometry, a morphism  between schemes is said to be smooth if\n(i) it is locally of fini"}
{"subject": "math:Kazuki_Nakajima", "predicate": "proves", "object": "is a retired japanese professional racing driver who drove in formula one for the williams-toyota te"}
{"subject": "math:Matrix_equivalence", "predicate": "proves", "object": "in linear algebra, two rectangular m-by-n matrices a and b are called equivalent if\n\nfor some invert"}
{"subject": "math:Injective_metric_space", "predicate": "proves", "object": "in metric geometry, an injective metric space, or equivalently a hyperconvex metric space, is a metr"}
{"subject": "math:Benetton_B197", "predicate": "proves", "object": "the benetton b197 is a formula one racing car with which the benetton team competed in the 1997 form"}
{"subject": "math:United_States_Grand_Prix_(disambiguation)", "predicate": "proves", "object": "a united states grand prix (usgp) is a grand prix type race that takes place in the united states. s"}
{"subject": "math:McLaren_MP4/12", "predicate": "proves", "object": "the mclaren mp4/12 was the formula one car with which the mclaren team competed in the 1997 formula "}
{"subject": "math:Orthogonal_convex_hull", "predicate": "proves", "object": "in geometry, a set  is defined to be orthogonally convex if, for every line  that is parallel to one"}
{"subject": "math:Proof_by_example", "predicate": "proves", "object": "in logic and mathematics, proof by example (sometimes known as inappropriate generalization) is a lo"}
{"subject": "math:Weyl's_lemma_(Laplace_equation)", "predicate": "proves", "object": "in mathematics, weyl's lemma, named after hermann weyl, states that every weak solution of laplace's"}
{"subject": "math:Cylindric_algebra", "predicate": "proves", "object": "in mathematics, the notion of cylindric algebra, invented by alfred tarski, arises naturally in the "}
{"subject": "math:Conchoid_of_D\u00fcrer", "predicate": "proves", "object": "in geometry, the conchoid of d\u00fcrer, also called d\u00fcrer's shell curve, is a plane, algebraic curve, na"}
{"subject": "math:Ferrari_640", "predicate": "proves", "object": "the ferrari 640 (also known as the ferrari f1-89) was the formula one racing car with which the ferr"}
{"subject": "math:Margarite", "predicate": "proves", "object": "margarite is a calcium rich member of the mica group of the phyllosilicates with formula: caal2(al2s"}
{"subject": "math:Marine_transfer_operations", "predicate": "proves", "object": "marine transfer operations are conducted at many ports around the world between tanker ships, barges"}
{"subject": "math:Reg_Parnell_Racing", "predicate": "proves", "object": "reg parnell racing was a privateer formula one team during the 1950s and 1960s. the team was founded"}
{"subject": "math:Yeoman_Credit_Racing", "predicate": "proves", "object": "yeoman credit racing was a name used by two different formula one motor racing teams in the early-19"}
{"subject": "math:Carlos_Reutemann", "predicate": "proves", "object": "carlos alberto \"lole\" reutemann (12 april 1942 \u2013 7 july 2021) was an argentine racing driver who rac"}
{"subject": "math:Hesketh", "predicate": "proves", "object": "hesketh may refer to:\n\n hesketh, alberta, a canadian hamlet\n hesketh bank, a small agricultural vill"}
{"subject": "math:Falconer's_formula", "predicate": "proves", "object": "heritability is the proportion of variance caused by genetic factors of a specific trait in a popula"}
{"subject": "math:The_Wiggle", "predicate": "proves", "object": "{\n  \"type\": \"featurecollection\",\n  \"features\": [\n    {\n      \"type\": \"feature\",\n      \"properties\": "}
{"subject": "math:Moufang", "predicate": "proves", "object": "moufang is the family name of the following people:\n\nchristoph moufang (1817\u20131890), a roman catholic"}
{"subject": "math:Algebraic_logic", "predicate": "proves", "object": "in mathematical logic, algebraic logic is the reasoning obtained by manipulating equations with free"}
{"subject": "math:Bell's_law", "predicate": "proves", "object": "bell's law may refer to:\n\nbell's law or bell\u2013magendie law, a law demonstrated by charles bell, a sco"}
{"subject": "math:Swiss_Formula", "predicate": "proves", "object": "the swiss formula is a mathematical formula designed to cut and harmonize tariff rates in internatio"}
{"subject": "math:Query_expansion", "predicate": "proves", "object": "query expansion (qe) is the process of reformulating a given query to improve retrieval performance "}
{"subject": "math:Tony_Vandervell", "predicate": "proves", "object": "guy anthony \"tony\" vandervell (8 september 1898 \u2013 10 march 1967) was a british industrialist, motor "}
{"subject": "math:Jordan_197", "predicate": "proves", "object": "the jordan 197 was the formula one car with which the jordan team competed in the 1997 formula one w"}
{"subject": "math:Exchange_matrix", "predicate": "proves", "object": "in mathematics, especially linear algebra, the exchange matrices (also called the reversal matrix, b"}
{"subject": "math:Andrica's_conjecture", "predicate": "proves", "object": "andrica's conjecture (named after dorin andrica) is a conjecture regarding the gaps between prime nu"}
{"subject": "math:Lucas's_theorem", "predicate": "proves", "object": "in number theory, lucas's theorem expresses the remainder of division of the binomial coefficient  b"}
{"subject": "math:Metaconstitution", "predicate": "proves", "object": "a metaconstitution is a set of pre-constitutional rules. it is in lieu of a formalized constitution "}
{"subject": "math:Rank_(differential_topology)", "predicate": "proves", "object": "in mathematics, the rank of a differentiable map  between differentiable manifolds at a point  is th"}
{"subject": "math:Triphenylarsine", "predicate": "proves", "object": "triphenylarsine is the chemical compound with the formula as(c6h5)3. this organoarsenic compound, of"}
{"subject": "math:Paris_High_School_(Kentucky)", "predicate": "proves", "object": "paris high school is one of the two public high schools in paris, kentucky, united states. paris hig"}
{"subject": "math:Anastasia_Absolutely", "predicate": "proves", "object": "anastasia absolutely (1995) is a young-adult novel by lois lowry. it is part of a series of books th"}
{"subject": "math:Honda_RA300", "predicate": "proves", "object": "the honda ra300 was a formula one racing car produced by honda racing, and introduced towards the en"}
{"subject": "math:Metzler_matrix", "predicate": "proves", "object": "in mathematics, a metzler matrix is a matrix in which all the off-diagonal components are nonnegativ"}
{"subject": "math:Prost_JS45", "predicate": "proves", "object": "the prost js45 was the formula one racing car with which the prost team competed in the 1997 formula"}
{"subject": "math:Tony_Schmidt", "predicate": "proves", "object": "tony schmidt (born 9 may 1980 in leipzig) is a german racing driver.\n\ncareer\n\nformula three\nschmidt "}
{"subject": "math:Epipolar_geometry", "predicate": "proves", "object": "epipolar geometry is the geometry of stereo vision.  when two cameras view a 3d scene from two disti"}
{"subject": "math:Triacetonamine", "predicate": "proves", "object": "triacetonamine is an organic compound with the formula oc(ch2cme2)2nh (where me = ch3).  it is a col"}
{"subject": "math:Stanley\u2013Wilf_conjecture", "predicate": "proves", "object": "the stanley\u2013wilf conjecture, formulated independently by richard p. stanley and herbert wilf in the "}
{"subject": "math:Kamora_(brand)", "predicate": "proves", "object": "kamora is a brand of coffee liqueur produced in mexico.  it is slightly less sweet, and also less ex"}
{"subject": "math:Tyrrell_006", "predicate": "proves", "object": "the tyrrell 006 was a formula one car designed and built by the tyrrell racing organisation.  it was"}
{"subject": "math:Sauber_C16", "predicate": "proves", "object": "the sauber c16 was the car with which the sauber formula one team competed in the 1997 formula one s"}
{"subject": "math:Shear_matrix", "predicate": "proves", "object": "in mathematics (particularly linear algebra), a shear matrix or transvection is an elementary matrix"}
{"subject": "math:Rellich\u2013Kondrachov_theorem", "predicate": "proves", "object": "in mathematics, the rellich\u2013kondrachov theorem is a compact embedding theorem concerning sobolev spa"}
{"subject": "math:Andrist", "predicate": "proves", "object": "\n\nfamily name\nandrist is a swiss family name with proof of family vital records at least back to the"}
{"subject": "math:Killing_tensor", "predicate": "proves", "object": "in mathematics, a killing tensor or killing tensor field is a generalization of a killing vector, fo"}
{"subject": "math:Hitchin_functional", "predicate": "proves", "object": "the hitchin functional is a mathematical concept with applications in string theory that was introdu"}
{"subject": "math:Propyphenazone", "predicate": "proves", "object": "propyphenazone (known as isopropylantipyrine in japan) is a derivative of phenazone with similar ana"}
{"subject": "math:Tyrrell_025", "predicate": "proves", "object": "the tyrrell 025 was the car with which the tyrrell team competed in the 1997 formula one world champ"}
{"subject": "math:List_of_chess_gambits", "predicate": "proves", "object": "this is a list of chess openings that are gambits.\nthe gambits are organized into sections by the pa"}
{"subject": "math:Franck_Fr\u00e9on", "predicate": "proves", "object": "franck fr\u00e9on (born 16 march 1962, in paris) is a french race car driver.\n\nhe began his career in the"}
{"subject": "math:Unit_tangent_bundle", "predicate": "proves", "object": "in riemannian geometry, the unit tangent bundle of a riemannian manifold (m, g), denoted by t1m, ut("}
{"subject": "math:Black's_equation", "predicate": "proves", "object": "black's equation is a mathematical model for the mean time to failure (mttf) of a semiconductor circ"}
{"subject": "math:M-matrix", "predicate": "proves", "object": "in mathematics, especially linear algebra, an m-matrix is a z-matrix with eigenvalues whose real par"}
{"subject": "math:Piecewise_linear", "predicate": "proves", "object": "piecewise linear may refer to:\n piecewise linear curve, a connected sequence of line segments\n piece"}
{"subject": "math:Quantum_Markov_chain", "predicate": "proves", "object": "in mathematics, the quantum markov chain is a reformulation of the ideas of a classical markov chain"}
{"subject": "math:Co-premise", "predicate": "proves", "object": "a co-premise is a premise in reasoning and informal logic which is not the main supporting reason fo"}
{"subject": "math:Schur_orthogonality_relations", "predicate": "proves", "object": "in mathematics, the schur orthogonality relations, which were proven by issai schur through schur's "}
{"subject": "math:Clifford_torus", "predicate": "proves", "object": "in geometric topology, the clifford torus is the simplest and most symmetric flat embedding of the c"}
{"subject": "math:Haas_Lola", "predicate": "proves", "object": "team haas (usa) ltd., sometimes called beatrice haas after its major sponsor, was an american formul"}
{"subject": "math:Generating_function_(physics)", "predicate": "proves", "object": "in physics, and more specifically in hamiltonian mechanics, a generating function is, loosely, a fun"}
{"subject": "math:Minardi_M197", "predicate": "proves", "object": "the minardi m197 was the car with which the minardi formula one team competed in the 1997 formula on"}
{"subject": "math:Stewart_SF01", "predicate": "proves", "object": "the stewart sf01 was the car that the stewart formula one team competed with in the 1997 formula one"}
{"subject": "math:Streamline_diffusion", "predicate": "proves", "object": "streamline diffusion, given an advection-diffusion equation, refers to all diffusion going on along "}
{"subject": "math:Nested_sampling_algorithm", "predicate": "proves", "object": "the nested sampling algorithm is a computational approach to the bayesian statistics problems of com"}
{"subject": "math:GWG", "predicate": "proves", "object": "gwg is a three letter acronym that can stand for:\n\n girls with guns\n game-winning goal, in sports\n g"}
{"subject": "math:Sequential_probability_ratio_test", "predicate": "proves", "object": "the sequential probability ratio test (sprt) is a specific sequential hypothesis test, developed by "}
{"subject": "math:Death_of_Ayrton_Senna", "predicate": "proves", "object": "on 1 may 1994, brazilian formula one driver ayrton senna was killed after his car crashed into a con"}
{"subject": "math:Appeal_to_the_stone", "predicate": "proves", "object": "appeal to the stone, also known as argumentum ad lapidem, is a logical fallacy that dismisses an arg"}
{"subject": "math:Renaming", "predicate": "proves", "object": "renaming may refer to:\n\nplace names\n geographical renaming\n lists of renamed places\n\ncomputing\n batc"}
{"subject": "math:Completely_metrizable_space", "predicate": "proves", "object": "in mathematics, a completely metrizable space (metrically topologically complete space) is a topolog"}
{"subject": "math:Continuity_theorem", "predicate": "proves", "object": "in mathematics and statistics, the continuity theorem may refer to one of the following results:\n th"}
{"subject": "math:Correlation_(projective_geometry)", "predicate": "proves", "object": "in projective geometry, a correlation is a transformation of a d-dimensional projective space that m"}
{"subject": "math:Christian_Murchison", "predicate": "proves", "object": "christian murchison (born 1 november 1980) is a racing driver from singapore.\n\nbiography\nin 2003, mu"}
{"subject": "math:Bhatnagar\u2013Gross\u2013Krook_operator", "predicate": "proves", "object": "the bhatnagar\u2013gross\u2013krook operator (abbreviated bgk operator) term refers to a collision operator us"}
{"subject": "math:Koszul_algebra", "predicate": "proves", "object": "in abstract algebra, a koszul algebra  is a graded  -algebra over which the ground field  has a line"}
{"subject": "math:Dichloramine", "predicate": "proves", "object": "dichloramine is a reactive inorganic compound. it has the formula . it is one of the three chloramin"}
{"subject": "math:Householder_operator", "predicate": "proves", "object": "in linear algebra, the householder operator  is defined as follows. let  be a finite-dimensional inn"}
{"subject": "math:Offer_of_proof", "predicate": "proves", "object": "an offer of proof is a kind of motion that a lawyer may present to a judge or to the official presid"}
{"subject": "math:Lola_T97/30", "predicate": "proves", "object": "the lola t97/30 was the car with which the mastercard lola formula one team attempted to compete in "}
{"subject": "math:Integrodifference_equation", "predicate": "proves", "object": "in mathematics, an integrodifference equation is a recurrence relation on a function space, of the f"}
{"subject": "math:Zicam", "predicate": "proves", "object": "zicam is a branded series of products marketed for cold and allergy relief whose original formulatio"}
{"subject": "math:Hexachloroethane", "predicate": "proves", "object": "hexachloroethane (perchloroethane) is an organochlorine compound with the chemical formula . it is a"}
{"subject": "math:Hermann_Schubert", "predicate": "proves", "object": "\n\nhermann c\u00e4sar hannibal schubert (22 may 1848 \u2013 20 july 1911) was a german mathematician.\n\nschubert"}
{"subject": "math:Spectral_gap", "predicate": "proves", "object": "in mathematics, the spectral gap is the difference between the moduli of the two largest eigenvalues"}
{"subject": "math:Riggatron", "predicate": "proves", "object": "a riggatron is a magnetic confinement fusion reactor design created by robert w. bussard in the late"}
{"subject": "math:Lars_G\u00e5rding", "predicate": "proves", "object": "lars g\u00e5rding (7 march 1919 \u2013 7 july 2014) was a swedish mathematician. he made notable contributions"}
{"subject": "math:BRDC_International_Trophy", "predicate": "proves", "object": "the international trophy is a prize awarded annually by the british racing drivers' club to the winn"}
{"subject": "math:Wings_and_Wheels", "predicate": "proves", "object": "wings and wheels was a major airshow and motorsport event held since 2005 at dunsfold aerodrome whic"}
{"subject": "math:Divided_power_structure", "predicate": "proves", "object": "in mathematics, specifically commutative algebra, a divided power structure is a way of making expre"}
{"subject": "math:Tafel_equation", "predicate": "proves", "object": "the tafel equation is an equation in electrochemical kinetics relating the rate of an electrochemica"}
{"subject": "math:Denis_Lian", "predicate": "proves", "object": "denis lian (traditional chinese: ; born 8 march 1972) is a singaporean racing driver.\n\nbiography\nlia"}
{"subject": "math:Compound_of_two_tetrahedra", "predicate": "proves", "object": "in geometry, a compound of two tetrahedra is constructed by two overlapping tetrahedra, usually impl"}
{"subject": "math:Compound_of_dodecahedron_and_icosahedron", "predicate": "proves", "object": "in geometry, this polyhedron can be seen as either a polyhedral stellation or a compound.\n\nas a comp"}
{"subject": "math:Costa's_minimal_surface", "predicate": "proves", "object": "in mathematics, costa's minimal surface, is an embedded minimal surface discovered in 1982 by the br"}
{"subject": "math:Mixmaster_universe", "predicate": "proves", "object": "the mixmaster universe (named after sunbeam mixmaster, a brand of sunbeam products electric kitchen "}
{"subject": "math:Lindel\u00f6f's_theorem", "predicate": "proves", "object": "in mathematics, lindel\u00f6f's theorem is a result in complex analysis named after the finnish mathemati"}
{"subject": "math:Monadic_predicate_calculus", "predicate": "proves", "object": "in logic, the monadic predicate calculus (also called monadic first-order logic) is the fragment of "}
{"subject": "math:Nico_Verdonck", "predicate": "proves", "object": "nicolas verdonck (born 5 december 1985) is a belgian racing driver. he was born in brussels.\n\ncareer"}
{"subject": "math:George_B._Thomas", "predicate": "proves", "object": "george brinton thomas jr. (january 11, 1914 \u2013 october 31, 2006) was an american mathematician and pr"}
{"subject": "math:Hedgehog_space", "predicate": "proves", "object": "in mathematics, a hedgehog space is a topological space consisting of a set of spines joined at a po"}
{"subject": "math:Moore_space_(topology)", "predicate": "proves", "object": "in mathematics, more specifically point-set topology, a moore space is a developable regular hausdor"}
{"subject": "math:Moore_space", "predicate": "proves", "object": "in mathematics, moore space may refer to:\n\n moore space (algebraic topology)\n moore space (topology)"}
{"subject": "math:Development_(topology)", "predicate": "proves", "object": "in the mathematical field of topology, a development is a countable collection of open covers of a t"}
{"subject": "math:William_Jaco", "predicate": "proves", "object": "william \"bus\" h. jaco (born july 14, 1940 in grafton, west virginia) is an american mathematician wh"}
{"subject": "math:Isobutyraldehyde", "predicate": "proves", "object": "isobutyraldehyde is the chemical compound with the formula (ch3)2chcho. it is an aldehyde, isomeric "}
{"subject": "math:Borirane", "predicate": "proves", "object": "borirane is a heterocyclic organic compound with the formula c2h4bh.  this colourless, flammable gas"}
{"subject": "math:Fuzzy_subalgebra", "predicate": "proves", "object": "fuzzy subalgebras theory is a chapter of fuzzy set theory. it is obtained from an interpretation in "}
{"subject": "math:Fluorobenzene", "predicate": "proves", "object": "fluorobenzene is the chemical compound with the formula c6h5f, often abbreviated phf.  a colorless l"}
{"subject": "math:Nash's_theorem", "predicate": "proves", "object": "in mathematics, nash's theorem may refer to one of the following:\n\n the nash embedding theorems in d"}
{"subject": "math:Propane-1,3-dithiol", "predicate": "proves", "object": "1,3-propanedithiol is the chemical compound with the formula hsch2ch2ch2sh.  this dithiol is a usefu"}
{"subject": "math:Charles_J._Bates", "predicate": "proves", "object": "charles j. bates (may 4, 1930 \u2013 september 28, 2006) was an american food scientist who was involved "}
{"subject": "math:Poincar\u00e9_theorem", "predicate": "proves", "object": "poincar\u00e9 theorem may refer to:\n\n poincar\u00e9 conjecture, on homeomorphisms to the sphere;\n poincar\u00e9 rec"}
{"subject": "math:Survival_suit", "predicate": "proves", "object": "a survival suit, more accurately and currently referred to as an immersion suit, is a type of waterp"}
{"subject": "math:A_Shared_Future", "predicate": "proves", "object": "a shared future \u2013 policy and strategic framework for good relations in northern ireland is a consult"}
{"subject": "math:Language_equation", "predicate": "proves", "object": "language equations are mathematical statements that resemble numerical equations, but the variables "}
{"subject": "math:Analytic_space", "predicate": "proves", "object": "an analytic space is a generalization of an analytic manifold that allows singularities.  an analyti"}
{"subject": "math:Mediated_VPN", "predicate": "proves", "object": "a mediated vpn is a virtual private network topology where two or more participants connect to a cen"}
{"subject": "math:Oulton_Park_International_Gold_Cup", "predicate": "proves", "object": "the international gold cup is a prize awarded annually to the winner of a motor race held at the oul"}
{"subject": "math:Tin(II)_fluoride", "predicate": "proves", "object": "tin(ii) fluoride, commonly referred to commercially as stannous fluoride (from latin , 'tin'), is a "}
{"subject": "math:All_Your_Faded_Things", "predicate": "proves", "object": "all your faded things is an album released by anna oxygen on july 22, 2003 under the cold crush reco"}
{"subject": "math:Mecom_Racing_Team", "predicate": "proves", "object": "the mecom racing team was led by john mecom jr. and was active between 1960 and 1967 in the world sp"}
{"subject": "math:International_Cup", "predicate": "proves", "object": "international cup may refer to one the following sporting events:\n\nauto racing competitions\n interna"}
{"subject": "math:Aliettite", "predicate": "proves", "object": "aliettite is a complex phyllosilicate mineral of the smectite group with a formula of (ca0.2mg6(si,a"}
{"subject": "math:Akdalaite", "predicate": "proves", "object": "akdalaite (ima symbol: akd) is a very rare mineral found in kazakhstan and has the formula . it was "}
{"subject": "math:Tach\u016b_Nait\u014d", "predicate": "proves", "object": "was a japanese architect, engineer, and professor. he was a father of earthquake-proof design and bu"}
{"subject": "math:Differential_ideal", "predicate": "proves", "object": "in the theory of differential forms, a differential ideal i is an algebraic ideal in the ring of smo"}
{"subject": "math:Quantum_potential", "predicate": "proves", "object": "the quantum potential or quantum potentiality is a central concept of the de broglie\u2013bohm formulatio"}
{"subject": "math:Hypercone", "predicate": "proves", "object": "in geometry, a hypercone (or spherical cone) is the figure in the 4-dimensional euclidean space repr"}
{"subject": "math:Billy_Devore", "predicate": "proves", "object": "louis wiley \"billy\" devore (12 september 1910, st. john, kansas \u2013 12 august 1985, indianapolis, indi"}
{"subject": "math:Quasi-Frobenius_Lie_algebra", "predicate": "proves", "object": "in mathematics, a quasi-frobenius lie algebra \n\n \n\nover a field  is a lie algebra \n \n\nequipped with "}
{"subject": "math:Abu'l-Hasan_ibn_Ali_al-Qalasadi", "predicate": "proves", "object": "ab\u016b'l-\u1e25asan ibn \u02bfal\u012b ibn mu\u1e25ammad ibn \u02bfal\u012b al-qurash\u012b al-qala\u1e63\u0101d\u012b (; 1412\u20131486) was a muslim arab ma"}
{"subject": "math:1978_BRDC_International_Trophy", "predicate": "proves", "object": "the xxx brdc international trophy was a non-championship motor race for formula one cars held on 19 "}
{"subject": "math:C4H10O2", "predicate": "proves", "object": "the molecular formula c4h10o2 may refer to:\n\n butanediols\n 1,2-butanediol\n 1,3-butanediol\n 1,4-butan"}
{"subject": "math:Papa_Isio", "predicate": "proves", "object": "dionisio magbuelas (20 march 1846 - 1911), dionisio seguela or dionisio papa y barlucia, more widely"}
{"subject": "math:K-set_(geometry)", "predicate": "proves", "object": "in discrete geometry, a -set of a finite point set  in the euclidean plane is a subset of  elements "}
{"subject": "math:Porson's_Law", "predicate": "proves", "object": "porson's law, or porson's bridge, is a metrical law that applies to iambic trimeter, the main spoken"}
{"subject": "math:Riemann\u2013von_Mangoldt_formula", "predicate": "proves", "object": "in mathematics, the riemann\u2013von mangoldt formula, named for bernhard riemann and hans carl friedrich"}
{"subject": "math:Divinylbenzene", "predicate": "proves", "object": "divinylbenzene (dvb) is an organic compound with the chemical formula  and structure  (a benzene rin"}
{"subject": "math:Circular_points_at_infinity", "predicate": "proves", "object": "in projective geometry, the circular points at infinity  (also called cyclic points or isotropic poi"}
{"subject": "math:Isotropic_line", "predicate": "proves", "object": "in the geometry of quadratic forms, an isotropic line or null line is a line for which the quadratic"}
{"subject": "math:Imaginary_line_(mathematics)", "predicate": "proves", "object": "in complex geometry, an imaginary line is a straight line that only contains one real point. it can "}
{"subject": "math:Real_point", "predicate": "proves", "object": "in geometry, a real point is a point in the complex projective plane with homogeneous coordinates  f"}
{"subject": "math:Complex_conjugate_line", "predicate": "proves", "object": "in complex geometry, the complex conjugate line of a straight line is the line that it becomes by ta"}
{"subject": "math:2-(2-Ethoxyethoxy)ethanol", "predicate": "proves", "object": "2-(2-ethoxyethoxy)ethanol, also known under many trade names, is the organic compound with the formu"}
{"subject": "math:Eugen_von_Lommel", "predicate": "proves", "object": "eugen cornelius joseph von lommel (19 march 1837, edenkoben \u2013 19 june 1899, munich) was a german phy"}
{"subject": "math:Crossl\u00e9_Car_Company", "predicate": "proves", "object": "the crossl\u00e9 car company ltd. is a racing car manufacturer based in holywood, northern ireland. cross"}
{"subject": "math:Phenyl-2-nitropropene", "predicate": "proves", "object": "1-phenyl-2-nitropropene, or simply phenyl-2-nitropropene, or p2np, as it is commonly referred to, is"}
{"subject": "math:Formula_Palmer_Audi", "predicate": "proves", "object": "formula palmer audi, officially abbreviated to fpa, and sometimes informally abbreviated to palmer a"}
{"subject": "math:Phosphinite", "predicate": "proves", "object": "in organic chemistry, phosphinites are organophosphorus compounds with the formula . they are used a"}
{"subject": "math:Phosphonite", "predicate": "proves", "object": "in organic chemistry, phosphonites are organophosphorus compounds with the formula p(or)2r. they are"}
{"subject": "math:The_Very_Best_of_Chris_Rea", "predicate": "proves", "object": "the very best of chris rea is the third compilation album by the british singer-songwriter chris rea"}
{"subject": "math:Harcourt_interpolation", "predicate": "proves", "object": "the harcourt interpolation was a scandal of victorian london in which a rogue compositor inserted an"}
{"subject": "math:JTR", "predicate": "proves", "object": "jtr may refer to:\n\njtr (band), a swedish boy band\njtr (song), by dave matthews band\njoe tandy racing"}
{"subject": "math:Preclosure_operator", "predicate": "proves", "object": "in topology, a preclosure operator or \u010dech closure operator is a map between subsets of a set, simil"}
{"subject": "math:Globally_hyperbolic_manifold", "predicate": "proves", "object": "in mathematical physics, global hyperbolicity is a certain condition on the causal structure of a sp"}
{"subject": "math:Schur\u2013Zassenhaus_theorem", "predicate": "proves", "object": "the schur\u2013zassenhaus theorem is a theorem in group theory which states that if  is a finite group, a"}
{"subject": "math:Newton\u2013Wigner_localization", "predicate": "proves", "object": "newton\u2013wigner localization (named after theodore duddell newton and eugene wigner) is a scheme for o"}
{"subject": "math:Bis(trimethylsilyl)sulfide", "predicate": "proves", "object": "bis(trimethylsilyl) sulfide is the chemical compound with the formula ((ch3)3si)2s.  often abbreviat"}
{"subject": "math:Sodium_diethyldithiocarbamate", "predicate": "proves", "object": "sodium diethyldithiocarbamate is the organosulfur compound with the formula nas2cn(c2h5)2.  it is a "}
{"subject": "math:Dithiocarbamate", "predicate": "proves", "object": "in organic chemistry, a dithiocarbamate is a functional group with the general formula  and structur"}
{"subject": "math:Dimethyldithiocarbamate", "predicate": "proves", "object": "dimethyldithiocarbamate is the organosulfur anion with the formula (ch3)2ncs2\u2212. it is one of the sim"}
{"subject": "math:1996_International_Formula_3000_Championship", "predicate": "proves", "object": "the 1996 international formula 3000 championship was contested over ten rounds from 11 may to 12 oct"}
{"subject": "math:Disodium_citrate", "predicate": "proves", "object": "disodium citrate, also known as disodium hydrogen citrate, alkacitron, and sesquihydrate, is an acid"}
{"subject": "math:Monocalcium_citrate", "predicate": "proves", "object": "monocalcium citrate also known as calcium monocitrate is a compound with formula c6h8cao7.  it is a "}
{"subject": "math:Dicalcium_citrate", "predicate": "proves", "object": "dicalcium citrate is a compound with formula c6h6ca2o7. it is a calcium acid salt of citric acid.\n\ns"}
{"subject": "math:Adrian_Zaugg", "predicate": "proves", "object": "adrian zaugg (born 4 november 1986 in singapore) is a south african race car driver of dutch descent"}
{"subject": "math:Introduction_to_Commutative_Algebra", "predicate": "proves", "object": "introduction to commutative algebra is a well-known commutative algebra textbook written by michael "}
{"subject": "math:Igusa_zeta_function", "predicate": "proves", "object": "in mathematics, an igusa zeta function is a type of generating function, counting the number of solu"}
{"subject": "math:Central_Electricity_Authority_(India)", "predicate": "proves", "object": "the central electricity authority of india (cea) advises the government on policy matters and formul"}
{"subject": "math:Team_Rosberg", "predicate": "proves", "object": "team rosberg gmbh is a motor racing organisation that competes in single-seater and touring car disc"}
{"subject": "math:Zero_Theory", "predicate": "proves", "object": "zero theory, zero theorem, zero conjecture, zero law or similar, may mean:\n\n x&y, coldplay's third a"}
{"subject": "math:Jan_Bergstra", "predicate": "proves", "object": "johannes aldert \"jan\" bergstra (born 1951) is a dutch computer scientist. his work has focussed on l"}
{"subject": "math:FRD", "predicate": "proves", "object": "frd may refer to:\n\n cuban democratic revolutionary front (spanish ), an anti-castro organization\n fe"}
{"subject": "math:Ludwig_Waldmann", "predicate": "proves", "object": "ludwig waldmann (june 8, 1913 in f\u00fcrth \u2013 february 9, 1980) was a german physicist who specialized in"}
{"subject": "math:Lotus_98T", "predicate": "proves", "object": "the lotus 98t was a formula one car designed by g\u00e9rard ducarouge and martin ogilvie and built by tea"}
{"subject": "math:Matteo_Grassotto", "predicate": "proves", "object": "matteo grassotto (born 14 march 1980 in asolo, veneto) is an italian racing driver.\n\ncareer\n\nformula"}
{"subject": "math:Trioctylphosphine_oxide", "predicate": "proves", "object": "trioctylphosphine oxide (topo) is an organophosphorus compound with the formula op(c8h17)3. frequent"}
{"subject": "math:Ferrari_F310", "predicate": "proves", "object": "the ferrari f310, and its evolution, the f310b, were the formula one racing cars with which the ferr"}
{"subject": "math:KSCN", "predicate": "proves", "object": "kscn may refer to:\n\n kscn (fm), a radio station (96.9 fm) licensed to pittsburg, texas, united state"}
{"subject": "math:Lola_Mk4", "predicate": "proves", "object": "the lola mk4 and the derivative mk4a were formula one racing cars constructed by the lola company in"}
{"subject": "math:Force_field", "predicate": "proves", "object": "force field may refer to:\n\nscience\n force field (chemistry), a set of parameter and equations for us"}
{"subject": "math:Hedetniemi's_conjecture", "predicate": "proves", "object": "in graph theory, hedetniemi's conjecture, formulated by stephen t. hedetniemi in 1966, concerns the "}
{"subject": "math:Egbert_van_Kampen", "predicate": "proves", "object": "egbert rudolf van kampen (28 may 1908\u00a0\u2013 11 february 1942) was a dutch mathematician. he made importa"}
{"subject": "math:Galenic_formulation", "predicate": "proves", "object": "galenic formulation deals with the principles of preparing and compounding medicines in order to opt"}
{"subject": "math:Benetton_B196", "predicate": "proves", "object": "the benetton b196 is a formula one racing car with which the benetton team competed in the 1996 form"}
{"subject": "math:2006_BCS_computer_rankings", "predicate": "proves", "object": "in american college football, the 2006 bcs computer rankings are a part of the bowl championship ser"}
{"subject": "math:Vizing's_conjecture", "predicate": "proves", "object": "in graph theory, vizing's conjecture concerns a relation between the domination number and the carte"}
{"subject": "math:Interaction_nets", "predicate": "proves", "object": "interaction nets are a graphical model of computation devised by yves lafont in 1990 as a generalisa"}
{"subject": "math:My_Solo_Project", "predicate": "proves", "object": "my solo project is the debut album by mates of state.\n\ntrack listing\n \"names\" - 0:51\n \"proofs\" - 2:1"}
{"subject": "math:Beam_propagation_method", "predicate": "proves", "object": "the beam propagation method (bpm) is an approximation technique for simulating the propagation of li"}
{"subject": "math:Elements_of_Algebra", "predicate": "proves", "object": "elements of algebra is an elementary mathematics textbook written by mathematician leonhard euler ar"}
{"subject": "math:McLaren_MP4/11", "predicate": "proves", "object": "the mclaren mp4/11 was the car with which the mclaren team competed in the 1996 formula one world ch"}
{"subject": "math:1962_Mexican_Grand_Prix", "predicate": "proves", "object": "the i gran premio de mexico (or 1st mexican grand prix) was held on 4 november 1962 at the magdalena"}
{"subject": "math:Tudor_Ganea", "predicate": "proves", "object": "tudor ganea (october 17, 1922 \u2013august 1971) was a romanian-american mathematician, known for his wor"}
{"subject": "math:Ganea_conjecture", "predicate": "proves", "object": "ganea's conjecture is a now disproved claim in algebraic topology.  it states that\n \nfor all , where"}
{"subject": "math:Schur_test", "predicate": "proves", "object": "in mathematical analysis, the schur test, named after german mathematician issai schur, is a bound o"}
{"subject": "math:Wick's_theorem", "predicate": "proves", "object": "wick's theorem is a method of reducing high-order derivatives to a combinatorics problem. it is name"}
{"subject": "math:GEOS_circle", "predicate": "proves", "object": "in geometry, the geos circle is derived from the intersection of four lines that are associated with"}
{"subject": "math:Spalart\u2013Allmaras_turbulence_model", "predicate": "proves", "object": "in physics, the spalart\u2013allmaras model is a one-equation model that solves a modelled transport equa"}
{"subject": "math:New_Jersey_Department_of_the_Treasury", "predicate": "proves", "object": "the mission of the new jersey department of the treasury is to formulate and manage the state's budg"}
{"subject": "math:Titchmarsh_convolution_theorem", "predicate": "proves", "object": "the titchmarsh convolution theorem describes the properties of the support of the convolution of two"}
{"subject": "math:AGG", "predicate": "proves", "object": "agg or agg may refer to:\n\nas an acronym:\n anti-grain geometry, computer graphics rendering library\n "}
{"subject": "math:Anti-Grain_Geometry", "predicate": "proves", "object": "anti-grain geometry (agg) is a 2d rendering graphics library written in c++. it features anti-aliasi"}
{"subject": "math:Alternating_multilinear_map", "predicate": "proves", "object": "in mathematics, more specifically in multilinear algebra, an alternating multilinear map is a multil"}
{"subject": "math:Mason_equation", "predicate": "proves", "object": "the mason equation is an approximate analytical expression for the growth (due to condensation) or e"}
{"subject": "math:Right_inverse", "predicate": "proves", "object": "a right inverse in mathematics may refer to:\n\n a right inverse element with respect to a binary oper"}
{"subject": "math:Cotlar\u2013Stein_lemma", "predicate": "proves", "object": "in mathematics, in the field of functional analysis, the cotlar\u2013stein almost orthogonality lemma is "}
{"subject": "math:Hanks'_salts", "predicate": "proves", "object": "hanks' salts is a collective group of salts rich in bicarbonate ions, formulated in 1940 by the micr"}
{"subject": "math:Matteo_Bobbi", "predicate": "proves", "object": "matteo bobbi (born 2 july 1978 in milan) is an italian racing driver with experience in several moto"}
{"subject": "math:Trimethylphosphine", "predicate": "proves", "object": "trimethylphosphine is an organophosphorus compound with the formula p(ch3)3, commonly abbreviated as"}
{"subject": "math:Sauber_C20", "predicate": "proves", "object": "the sauber c20 was the car with which the sauber formula one team competed in the 2001 formula one s"}
{"subject": "math:4-Dimethylaminophenol", "predicate": "proves", "object": "4-dimethylaminophenol (dmap) is an aromatic compound containing both phenol and amine functional gro"}
{"subject": "math:Geoboard", "predicate": "proves", "object": "a geoboard is a  mathematical manipulative used to explore basic concepts in plane geometry such as "}
{"subject": "math:Eilenberg\u2013Ganea_conjecture", "predicate": "proves", "object": "the eilenberg\u2013ganea conjecture is a claim in algebraic topology.  it was formulated by samuel eilenb"}
{"subject": "math:Whitehead_conjecture", "predicate": "proves", "object": "the whitehead conjecture (also known as the whitehead asphericity conjecture) is a claim in algebrai"}
{"subject": "math:Biphenol", "predicate": "proves", "object": "in organic chemistry, a biphenol refers to compounds with the formula (c6h4oh)2.  such compounds for"}
{"subject": "math:Tetralin", "predicate": "proves", "object": "tetralin (1,2,3,4-tetrahydronaphthalene) is a hydrocarbon having the chemical formula c10h12. it is "}
{"subject": "math:Jay_Hambidge", "predicate": "proves", "object": "jay hambidge (1867\u20131924) was an american artist who formulated the theory of \"dynamic symmetry\", a s"}
{"subject": "math:Neyman", "predicate": "proves", "object": "neyman is a surname. notable people with the surname include:\n\nabraham neyman (born 1949), israeli m"}
{"subject": "math:Sauber_C12", "predicate": "proves", "object": "the sauber c12 was the car with which the sauber formula one team made its fia formula one world cha"}
{"subject": "math:Information-based_complexity", "predicate": "proves", "object": "information-based complexity (ibc) studies optimal algorithms and computational complexity for the c"}
{"subject": "math:Diphenyl_ditelluride", "predicate": "proves", "object": "diphenylditelluride is the chemical compound with the formula (c6h5te)2, abbreviated ph2te2  this or"}
{"subject": "math:C&G", "predicate": "proves", "object": "c&g may refer to:\n\n casque and gauntlet, a senior society at dartmouth college\n city and guilds of l"}
{"subject": "math:Ecurie_Maarsbergen", "predicate": "proves", "object": "ecurie maarsbergen  (french for stable maarsbergen) was a name used by dutch racing driver carel god"}
{"subject": "math:Carter's_Little_Liver_Pills", "predicate": "proves", "object": "carter's little liver pills (carter's little pills after 1959) were formulated as a patent medicine "}
{"subject": "math:Loomis\u2013Whitney_inequality", "predicate": "proves", "object": "in mathematics, the loomis\u2013whitney inequality is a result in geometry, which in its simplest form, a"}
{"subject": "math:Schoen\u2013Yau_conjecture", "predicate": "proves", "object": "in mathematics, the schoen\u2013yau conjecture is a disproved conjecture in hyperbolic geometry, named af"}
{"subject": "math:Brauer\u2013Suzuki_theorem", "predicate": "proves", "object": "in mathematics, the brauer\u2013suzuki theorem, proved by , , , states that if a finite group has a gener"}
{"subject": "math:Dibutylboron_trifluoromethanesulfonate", "predicate": "proves", "object": "dibutylboron trifluoromethanesulfonate (also called dibutylboron triflate or dbbt) is a reagent in o"}
{"subject": "math:Line\u2013line_intersection", "predicate": "proves", "object": "in euclidean geometry, the intersection of a line and a line can be the empty set, a point, or anoth"}
{"subject": "math:Bulletproof_(Hush_album)", "predicate": "proves", "object": "bulletproof is the third studio album by american rapper hush from detroit, michigan. it was release"}
{"subject": "math:Formyl_fluoride", "predicate": "proves", "object": "formyl fluoride is the organic compound with the formula hc(o)f.\n\npreparation\nhc(o)f was first repor"}
{"subject": "math:Hexafluorophosphoric_acid", "predicate": "proves", "object": "hexafluorophosphoric acid refers to a family of salts produced by combining phosphorus pentafluoride"}
{"subject": "math:Let_It_Be_Known", "predicate": "proves", "object": "let it be known is a seven track ep by american rapper spice 1. it peaked at number 69 on the billbo"}
{"subject": "math:Tetrairidium_dodecacarbonyl", "predicate": "proves", "object": "tetrairidium dodecacarbonyl is the chemical compound with the formula ir4(co)12.  this tetrahedral c"}
{"subject": "math:Plasma_modeling", "predicate": "proves", "object": "plasma modeling refers to solving equations of motion that describe the state of a plasma. it is gen"}
{"subject": "math:Tetrakis(triphenylphosphine)platinum(0)", "predicate": "proves", "object": "tetrakis(triphenylphosphine)platinum(0) is the chemical compound with the formula pt(p(c6h5)3)4, oft"}
{"subject": "math:Trimethylindium", "predicate": "proves", "object": "trimethylindium, often abbreviated to tmi or tmin, is the organoindium compound with the formula in("}
{"subject": "math:IROC_VI", "predicate": "proves", "object": "iroc vi was the sixth year of iroc competition, which took place in 1978 and 1979. the format change"}
{"subject": "math:IROC_VII", "predicate": "proves", "object": "iroc vii was the seventh year of iroc competition, which took place in 1979 and 1980. the format car"}
{"subject": "math:Group_technology", "predicate": "proves", "object": "group technology or tz is a manufacturing technique in which parts having similarities in geometry, "}
{"subject": "math:Lotus_21", "predicate": "proves", "object": "the lotus 21 was a formula one racing car  designed by colin chapman. it was a mid-engined design us"}
{"subject": "math:Kurepa_tree", "predicate": "proves", "object": "in set theory, a kurepa tree is a tree (t,\u00a0<) of height \u03c91, each of whose levels is at most countabl"}
{"subject": "math:List_of_things_named_after_Srinivasa_Ramanujan", "predicate": "proves", "object": "srinivasa ramanujan (1887 \u2013 1920) is the eponym of all of the topics listed below.\n\nmathematics\nbroc"}
{"subject": "math:A_(disambiguation)", "predicate": "proves", "object": "a is the first letter of the latin and english alphabet.\n\na may also refer to:\n\nscience and technolo"}
{"subject": "math:Titanocene_dicarbonyl", "predicate": "proves", "object": "dicarbonylbis(cyclopentadienyl)titanium is the chemical compound with the formula (\u03b75-c5h5)2ti(co)2,"}
{"subject": "math:Demonstration_(teaching)", "predicate": "proves", "object": "demonstration involves showing by reason or proof, explaining or making clear by use of examples or "}
{"subject": "math:Dehn\u2013Sommerville_equations", "predicate": "proves", "object": "in mathematics, the dehn\u2013sommerville equations are a complete set of linear relations between the nu"}
{"subject": "math:Collective_action_problem", "predicate": "proves", "object": "a collective action problem or social dilemma is a situation in which all individuals would be bette"}
{"subject": "math:Rewrite", "predicate": "proves", "object": "rewrite and rewriting may refer to:\n\nscript doctoring, revisions to an existing script for stage and"}
{"subject": "math:Duncan_Sommerville", "predicate": "proves", "object": "duncan maclaren young sommerville  (1879\u20131934) was a scottish mathematician and astronomer. he compi"}
{"subject": "math:Hype_Energy_Drinks", "predicate": "proves", "object": "hype energy drinks  has range of energy drinks sold in europe, the middle east, africa and latin ame"}
{"subject": "math:Ho-oh", "predicate": "proves", "object": "ho-oh may refer to:\n\nfenghuang, mythological birds in east asia\nho-oh, a legendary pok\u00e9mon resemblin"}
{"subject": "math:The_Invisible_Monster", "predicate": "proves", "object": "the invisible monster is a 1950 republic film serial, starring richard webb and aline towne.\n\nplot\na"}
{"subject": "math:Foolproof", "predicate": "proves", "object": "foolproof is a synonym for idiot-proof, an assurance, meaning a device that can't be damaged by impr"}
{"subject": "math:Gunningite", "predicate": "proves", "object": "gunningite is one of the minerals in the kieserite group, with the chemical formula . its name honou"}
{"subject": "math:Terre_Haute_North_Vigo_High_School", "predicate": "proves", "object": "terre haute north vigo high school, also known as terre haute north (thn), is a public high school l"}
{"subject": "math:Decacarbonyldihydridotriosmium", "predicate": "proves", "object": "decacarbonyldihydridotriosmium is an organoosmium compound with the formula h2os3(co)10.  this purpl"}
{"subject": "math:Trimethylgallium", "predicate": "proves", "object": "trimethylgallium, often abbreviated to tmg or tmga, is the organogallium compound with the formula g"}
{"subject": "math:Hal_Cole", "predicate": "proves", "object": "harold \"hal\" cole (november 20, 1912 in tacoma, washington \u2013 november 12, 1970 in\nlos angeles, calif"}
{"subject": "math:British_flag_theorem", "predicate": "proves", "object": "in euclidean geometry, the british flag theorem says that if a point p is chosen inside a rectangle "}
{"subject": "math:Ligier_JS43", "predicate": "proves", "object": "the ligier js43 was the car with which the ligier team competed in the 1996 formula one world champi"}
{"subject": "math:Frank_Dernie", "predicate": "proves", "object": "frank william dernie (born 3 april 1950) to james harold dernie and monica dernie (n\u00e9e pacey) is a v"}
{"subject": "math:Pentacarbonylhydridorhenium", "predicate": "proves", "object": "pentacarbonylhydridorhenium is a chemical compound with the formula reh(co)5. this colorless liquid "}
{"subject": "math:Disodium_tetracarbonylferrate", "predicate": "proves", "object": "disodium tetracarbonylferrate is the organoiron compound with the formula na2[fe(co)4]. it is always"}
{"subject": "math:Defective", "predicate": "proves", "object": "defective may refer to::\n\ndefective matrix, in algebra\ndefective verb, in linguistics\ndefective, or "}
{"subject": "math:Allylpalladium_chloride_dimer", "predicate": "proves", "object": "allylpalladium(ii) chloride dimer (apc) is a chemical compound with the formula [(\u03b73-c3h5)pdcl]2. th"}
{"subject": "math:Ammonium_paratungstate", "predicate": "proves", "object": "ammonium paratungstate (or apt) is a white crystalline salt with the chemical formula (nh4)10(h2w12o"}
{"subject": "math:Sergio_Rinland", "predicate": "proves", "object": "sergio rinland (born 17 march 1952) is an argentine engineer best known for his work in formula one."}
{"subject": "math:Trichotomy", "predicate": "proves", "object": "a trichotomy can refer to:\n\n law of trichotomy, a mathematical law that every real number is either "}
{"subject": "math:James_A._D._W._Anderson", "predicate": "proves", "object": "james arthur dean wallace anderson, known as james anderson, is a retired member of academic staff i"}
{"subject": "math:2007_Formula_Palmer_Audi_season", "predicate": "proves", "object": "2007 saw the 10th season of the formula palmer audi open wheel racing series, contested over 20 race"}
{"subject": "math:Andrew_Gilbert-Scott", "predicate": "proves", "object": "andrew michael gilbert-scott (born 11 july 1958) is a british former racing driver.\n\nearly career \nh"}
{"subject": "math:2006_Formula_Palmer_Audi_season", "predicate": "proves", "object": "2006 was the ninth year of the formula palmer audi open-wheel racing series. briton jon barnes won t"}
{"subject": "math:Cauchy's_theorem_(geometry)", "predicate": "proves", "object": "cauchy's theorem is a theorem in geometry, named after augustin cauchy. it states that \nconvex polyt"}
{"subject": "math:Tetrarhodium_dodecacarbonyl", "predicate": "proves", "object": "tetrarhodium dodecacarbonyl is the chemical compound with the formula rh4(co)12.  this dark-red crys"}
{"subject": "math:Number_One_Crossbar_Switching_System", "predicate": "proves", "object": "the number one crossbar switching system (1xb), was the primary technology for urban telephone excha"}
{"subject": "math:Chan's_algorithm", "predicate": "proves", "object": "in computational geometry, chan's algorithm, named after timothy m. chan, is an optimal output-sensi"}
{"subject": "math:Enfamil", "predicate": "proves", "object": "enfamil (a play on words of 'infant meal') is an american brand of infant formula that is made by me"}
{"subject": "math:Cyclopentadienylmolybdenum_tricarbonyl_dimer", "predicate": "proves", "object": "cyclopentadienylmolybdenum tricarbonyl dimer is the chemical compound with the formula cp2mo2(co)6, "}
{"subject": "math:Niobocene_dichloride", "predicate": "proves", "object": "niobocene dichloride is the organometallic compound with the formula (c5h5)2nbcl2, abbreviated cp2nb"}
{"subject": "math:Cyclooctadiene_rhodium_chloride_dimer", "predicate": "proves", "object": "cyclooctadiene rhodium chloride dimer is the organorhodium compound with the formula rh2cl2(c8h12)2,"}
{"subject": "math:Mercedes-Benz_C291", "predicate": "proves", "object": "the mercedes-benz c291 was a sports-prototype racing car introduced for the 1991 world sportscar cha"}
{"subject": "math:Consensus_theorem", "predicate": "proves", "object": "in boolean algebra, the consensus theorem or rule of consensus is the identity:\n\nthe consensus or re"}
{"subject": "math:Dense-in-itself", "predicate": "proves", "object": "in general topology, a subset  of a topological space is said to be dense-in-itself or crowded\nif  h"}
{"subject": "math:Xylidine", "predicate": "proves", "object": "xylidine can refer to any of the six isomers of xylene amine, or any mixture of them.\n\nthe chemical "}
{"subject": "math:3,5-Xylidine", "predicate": "proves", "object": "3,5-xylidine is the organic compound with the formula c6h3(ch3)2nh2. it is one of several isomeric x"}
{"subject": "math:3,4-Xylidine", "predicate": "proves", "object": "3,4-xylidine is an organic compound with the formula c6h3(ch3)2nh2. it is one of several isomeric xy"}
{"subject": "math:2,6-Xylidine", "predicate": "proves", "object": "2,6-xylidine is an organic compound with the formula c6h3(ch3)2nh2. it is one of several isomeric xy"}
{"subject": "math:2,5-Xylidine", "predicate": "proves", "object": "2,5-xylidine is an organic compound with the formula c6h3(ch3)2nh2. it is one of several isomeric xy"}
{"subject": "math:2,4-Xylidine", "predicate": "proves", "object": "2,4-xylidine is an organic compound with the formula c6h3(ch3)2nh2. it is one of several isomeric xy"}
{"subject": "math:Jordan_196", "predicate": "proves", "object": "the jordan 196 was the car with which the jordan team competed in the  formula one season.  it was d"}
{"subject": "math:Serbian_passport", "predicate": "proves", "object": "serbian passports are issued to serbian citizens at any age, and it is the primary document of inter"}
{"subject": "math:Corey_Jones", "predicate": "proves", "object": "corey jones (born 26 february 1981) is a former australian rules footballer who played for the north"}
{"subject": "math:Average_path_length", "predicate": "proves", "object": "average path length, or average shortest path length is a concept in network topology that is define"}
{"subject": "math:Wilhelm_Magnus", "predicate": "proves", "object": "hans heinrich wilhelm magnus known as wilhelm magnus (february 5, 1907 in berlin, germany \u2013 october "}
{"subject": "math:Mathematica_(disambiguation)", "predicate": "proves", "object": "wolfram mathematica is a computer algebra system and programming language.\n\nmathematica may also ref"}
{"subject": "math:Oriented_projective_geometry", "predicate": "proves", "object": "oriented projective geometry is an oriented version of real projective geometry.\n\nwhereas the real p"}
{"subject": "math:Geometry_from_the_Land_of_the_Incas", "predicate": "proves", "object": "geometry from the land of the incas is a free geometry website funded by advertising, aimed mainly a"}
{"subject": "math:Brian_Joo", "predicate": "proves", "object": "brian joo (korean name: joo min-gyu (); born january 10, 1981), better known professionally as brian"}
{"subject": "math:X-wave", "predicate": "proves", "object": "in physics, x-waves are localized solutions of the wave equation that travel at a constant velocity "}
{"subject": "math:Sauber_C15", "predicate": "proves", "object": "the sauber c15 was the car with which the sauber team competed in the 1996 formula one world champio"}
{"subject": "math:Footwork_FA17", "predicate": "proves", "object": "the footwork fa17 was the car with which the footwork team competed in the 1996 formula one world ch"}
{"subject": "math:Tyrrell_024", "predicate": "proves", "object": "the tyrrell 024 was the car with which the tyrrell team competed in the  formula one season.  it was"}
{"subject": "math:Florent_Bureau", "predicate": "proves", "object": "florent-joseph bureau (1906\u20131999) was a belgian mathematician. he was a professor at the university "}
{"subject": "math:Forti_FG03", "predicate": "proves", "object": "the forti fg03 was the car with which the forti team competed in part of the  formula one season. it"}
{"subject": "math:MathCast", "predicate": "proves", "object": "mathcast is a graphical mathematics equation editor. with this computer application, a user can crea"}
{"subject": "math:George_Jerrard", "predicate": "proves", "object": "george birch jerrard (25 november 1804 \u2013 23 november 1863) was a british mathematician.\n\nhe studied "}
{"subject": "math:MES_(buffer)", "predicate": "proves", "object": "mes is the common name for the compound 2-(n-morpholino)ethanesulfonic acid. its chemical structure "}
{"subject": "math:Fred_Diamond", "predicate": "proves", "object": "fred irvin diamond (born november 19, 1964) is a mathematician, known for his role in proving the mo"}
{"subject": "math:Dichloroisocyanuric_acid", "predicate": "proves", "object": "dichloroisocyanuric acid, also known as dichlor or dichloro-s-triazinetrione and is marketed under m"}
{"subject": "math:Truncated_triakis_tetrahedron", "predicate": "proves", "object": "in geometry, the truncated triakis tetrahedron, or more precisely an order-6 truncated triakis tetra"}
{"subject": "math:Link_Layer_Topology_Discovery", "predicate": "proves", "object": "link layer topology discovery (lltd) is a proprietary link layer protocol for network topology disco"}
{"subject": "math:Tuka_Rocha", "predicate": "proves", "object": "christiano \"tuka\" chiaradia alcoba rocha (december 13, 1982 \u2013 november 17, 2019) was a brazilian rac"}
{"subject": "math:JGP", "predicate": "proves", "object": "jgp may refer to:\n isu junior grand prix, a figure skating competition\n japanese grand prix, a formu"}
{"subject": "math:Nonoxynols", "predicate": "proves", "object": "nonoxynols also known as nonaethylene glycol or polyethylene glycol nonyl phenyl ether are mixtures "}
{"subject": "math:Bicycle_and_motorcycle_geometry", "predicate": "proves", "object": "bicycle and motorcycle geometry is the collection of key measurements (lengths and angles) that defi"}
{"subject": "math:Solving_quadratic_equations_with_continued_fractio", "predicate": "proves", "object": "in mathematics, a quadratic equation is a polynomial equation of the second degree. the general form"}
{"subject": "math:Adrian_Alvarado_(actor)", "predicate": "proves", "object": "adrian alvarado (born april 18, 1976) is an american actor and writer of puerto rican decent. he is "}
{"subject": "math:Reinhard_Meinel", "predicate": "proves", "object": "reinhard meinel (born 21 october 1958, in jena) is the head of the relativistic astrophysics group a"}
{"subject": "math:Michele_Desubleo", "predicate": "proves", "object": "michele desubleo (1601\u20131676), also called michele fiammingo (flemish) or michele di giovanni de sobl"}
{"subject": "math:Runge\u2013Kutta\u2013Fehlberg_method", "predicate": "proves", "object": "in mathematics, the runge\u2013kutta\u2013fehlberg method (or fehlberg method) is an algorithm in numerical an"}
{"subject": "math:Michel_Van_den_Bergh", "predicate": "proves", "object": "michel van den bergh (born 25 july 1960) is a belgian mathematician and professor at the vrije unive"}
{"subject": "math:C6H6Cl6", "predicate": "proves", "object": "{{displaytitle:c6h6cl6}}\nthe molecular formula c6h6cl6 may refer to:\n\nhexachlorocyclohexane\nalpha-he"}
{"subject": "math:Glycerol_3-phosphate", "predicate": "proves", "object": "sn-glycerol 3-phosphate is the organic ion with the formula hoch2ch(oh)ch2opo32-.  it is one of two "}
{"subject": "math:Client_Puzzle_Protocol", "predicate": "proves", "object": "client puzzle protocol (cpp) is a computer algorithm for use in internet communication, whose goal i"}
{"subject": "math:Fluoroboric_acid", "predicate": "proves", "object": "fluoroboric acid or tetrafluoroboric acid (archaically, fluoboric acid) is an inorganic compound wit"}
{"subject": "math:McLaren_MP4/3", "predicate": "proves", "object": "the mclaren mp4/3 was the car with which the mclaren team competed in the 1987 formula one world cha"}
{"subject": "math:I0", "predicate": "proves", "object": "i0 (the letter \"i\" followed by the digit \"0\", zero) may refer to:\n axiom i0: there is a nontrivial e"}
{"subject": "math:Interjectional_theory", "predicate": "proves", "object": "interjectional theory is a theory of language formulated by the pre-socratic philosopher democritus,"}
{"subject": "math:1995_International_Formula_3000_Championship", "predicate": "proves", "object": "the 1995 international formula 3000 championship was contested over eight rounds from may 7 to octob"}
{"subject": "math:Jim_Hefferon", "predicate": "proves", "object": "jim hefferon (born  october 12, 1958) is a professor of mathematics at saint michael's college.  he "}
{"subject": "math:Craig_plot", "predicate": "proves", "object": "the craig plot, named after paul n. craig, is a plot of two substituent parameters (e.g. hansch-fuji"}
{"subject": "math:Brendon_Cook", "predicate": "proves", "object": "brendon john cook (born 27 december 1970) is a former race driver who raced mainly in australia, but"}
{"subject": "math:BF3", "predicate": "proves", "object": "bf3 may refer to:\n\nboron trifluoride, a chemical compound\nbattlefield 3, a 2011 video game published"}
{"subject": "math:Silver_acetylide", "predicate": "proves", "object": "silver acetylide is an inorganic chemical compound with the formula ag2c2, a metal acetylide. the co"}
{"subject": "math:Wojciech_Rubinowicz", "predicate": "proves", "object": "wojciech sylwester piotr rubinowicz (february 22, 1889 \u2013 october 13, 1974) was a polish theoretical "}
{"subject": "math:Noncommutative_standard_model", "predicate": "proves", "object": "in theoretical particle physics, the non-commutative standard model (best known as spectral standard"}
{"subject": "math:Hilbert's_arithmetic_of_ends", "predicate": "proves", "object": "in mathematics, specifically in the area of hyperbolic geometry, hilbert's arithmetic of ends is a m"}
{"subject": "math:Tyrrell_023", "predicate": "proves", "object": "the tyrrell 023 was a formula one car designed by harvey postlethwaite and mike gascoyne for the tyr"}
{"subject": "math:Potassium_tetraphenylborate", "predicate": "proves", "object": "potassium tetraphenylborate is the salt with the formula kb(c6h5)4).  it is a colourless salt that i"}
{"subject": "math:Nickel_oxide_hydroxide", "predicate": "proves", "object": "nickel oxide hydroxide is the inorganic compound with the chemical formula nio(oh). it is a black so"}
{"subject": "math:Yangtze_Freshwater_Dolphin_Expedition_2006", "predicate": "proves", "object": "the yangtze freshwater dolphin expedition 2006 () was a six-week search expedition undertaken in nov"}
{"subject": "math:Van_der_Waerden_number", "predicate": "proves", "object": "van der waerden's theorem states that for any positive integers r and k there exists a positive inte"}
{"subject": "math:Fluorapatite", "predicate": "proves", "object": "fluorapatite, often with the alternate spelling of fluoroapatite, is a phosphate mineral with the fo"}
{"subject": "math:Fast_marching_method", "predicate": "proves", "object": "the fast marching method is a numerical method created by james sethian for solving boundary value p"}
{"subject": "math:C10H16O", "predicate": "proves", "object": "{{displaytitle:c10h16o}}\nthe molecular formula c10h16o (molar mass: 152.24 g/mol) may refer to:\n\n ca"}
{"subject": "math:Cash\u2013Karp_method", "predicate": "proves", "object": "in numerical analysis, the cash\u2013karp method is a method for solving ordinary differential equations "}
{"subject": "math:Rhoda_Griffis", "predicate": "proves", "object": "rhoda griffis (born january 9, 1965) is an american actress who has played supporting roles both in "}
{"subject": "math:Adaptive_step_size", "predicate": "proves", "object": "in mathematics and numerical analysis,  an adaptive step size is used in some methods for the numeri"}
{"subject": "math:Dormand\u2013Prince_method", "predicate": "proves", "object": "in numerical analysis, the dormand\u2013prince (rkdp) method or dopri method, is an embedded method for s"}
{"subject": "math:Miron_Nicolescu", "predicate": "proves", "object": "miron nicolescu (; august 27, 1903 \u2013 june 30, 1975) was a romanian mathematician, best known for his"}
{"subject": "math:Seconds_Out_Round_One", "predicate": "proves", "object": "seconds out round one was compilation album of session tracks recorded in 1991 for the mark radcliff"}
{"subject": "math:The_Girl_in_the_Park", "predicate": "proves", "object": "the girl in the park is a 2007 drama film, the first directed by david auburn, screenwriter of proof"}
{"subject": "math:Uniform_star_polyhedron", "predicate": "proves", "object": "in geometry, a uniform star polyhedron is a self-intersecting uniform polyhedron. they are also some"}
{"subject": "math:Fourier\u2013Mukai_transform", "predicate": "proves", "object": "in algebraic geometry, a fourier\u2013mukai transform \u03c6k  is a functor between derived categories of cohe"}
{"subject": "math:Craig's_theorem", "predicate": "proves", "object": "in mathematical logic, craig's theorem (also known as craig's trick) states that any recursively enu"}
{"subject": "math:Platinum(II)_bromide", "predicate": "proves", "object": "platinum bromide is the chemical compound with the formula ptbr2.  this dark green powder is a commo"}
{"subject": "math:Universal_evolution", "predicate": "proves", "object": "universal evolution is a theory of evolution formulated by pierre teilhard de chardin and julian hux"}
{"subject": "math:1971_BRDC_International_Trophy", "predicate": "proves", "object": "the 23rd brdc international trophy meeting - formally the gen/daily express brdc international troph"}
{"subject": "math:Phosphophyllite", "predicate": "proves", "object": "phosphophyllite (, and phosphate) is a rare mineral with the chemical formula , composed of hydrated"}
{"subject": "math:Sprinkling", "predicate": "proves", "object": "sprinkling can refer to:\n\naspersion, a method of baptism, particularly used for infant baptism.\nspri"}
{"subject": "math:Tetranitromethane", "predicate": "proves", "object": "tetranitromethane or tnm is an organic oxidizer with chemical formula . its chemical structure consi"}
{"subject": "math:Disphenoid", "predicate": "proves", "object": "in geometry, a disphenoid () is a tetrahedron whose four faces are congruent acute-angled triangles."}
{"subject": "math:Dispersive_partial_differential_equation", "predicate": "proves", "object": "in mathematics, a dispersive partial differential equation or dispersive pde  is a partial different"}
{"subject": "math:Dispersive", "predicate": "proves", "object": "dispersive may refer to:\n\ndispersive partial differential equation, a partial differential equation "}
{"subject": "math:Mersenne_conjectures", "predicate": "proves", "object": "in mathematics, the mersenne conjectures concern the characterization of a kind of prime numbers cal"}
{"subject": "math:1834_in_poetry", "predicate": "proves", "object": "nationality words link to articles with information on the nation's poetry or literature (for instan"}
{"subject": "math:Williams_FW17", "predicate": "proves", "object": "the williams fw17 is a formula one racing car designed by adrian newey, with which the williams team"}
{"subject": "math:2010_Formula_One_World_Championship", "predicate": "proves", "object": "the 2010 fia formula one world championship was the 64th season of fia formula one motor racing. red"}
{"subject": "math:2006_Formula_Renault_3.5_Series", "predicate": "proves", "object": "the 2006 formula renault 3.5 series was the second formula renault 3.5 series season. it began on ap"}
{"subject": "math:Daniel_W._Stroock", "predicate": "proves", "object": "daniel wyler stroock (born march 20, 1940) is an american mathematician, a probabilist. he is regard"}
{"subject": "math:Infinitely_near_point", "predicate": "proves", "object": "in algebraic geometry, an infinitely near point of an algebraic surface s is a point on a surface ob"}
{"subject": "math:John_Morgan_(mathematician)", "predicate": "proves", "object": "john willard morgan (born march 21, 1946) is an american mathematician known for his contributions t"}
{"subject": "math:Bruce_Kleiner", "predicate": "proves", "object": "bruce alan kleiner is an american mathematician, working in differential geometry and topology and g"}
{"subject": "math:Zhu_Xiping", "predicate": "proves", "object": "zhu xiping (born 1962 in shixing, guangdong) is a chinese mathematician. he is a professor of mathem"}
{"subject": "math:Alexander_Givental", "predicate": "proves", "object": "alexander givental () is a russian-american mathematician working in symplectic topology and singula"}
{"subject": "math:Frank_Quinn_(mathematician)", "predicate": "proves", "object": "frank stringfellow quinn, iii (born 1946) is an american mathematician and professor of mathematics "}
{"subject": "math:Region_connection_calculus", "predicate": "proves", "object": "the region connection calculus (rcc) is intended to serve for qualitative spatial representation and"}
{"subject": "math:Minkowski's_bound", "predicate": "proves", "object": "in algebraic number theory, minkowski's bound gives an upper bound of the norm of ideals to be check"}
{"subject": "math:War_Feels_Like_War", "predicate": "proves", "object": "war feels like war is a 2004 british documentary film. made for bbc storyville and tv 2 (denmark), i"}
{"subject": "math:De_Morgan_algebra", "predicate": "proves", "object": "\nin mathematics, a de morgan algebra (named after augustus de morgan, a british mathematician and lo"}
{"subject": "math:Masanori_Sekiya", "predicate": "proves", "object": "is a japanese former racing driver, most famous for being the first japanese driver to win the 24 ho"}
{"subject": "math:Basement_waterproofing", "predicate": "proves", "object": "basement waterproofing involves techniques and materials used to prevent water from penetrating the "}
{"subject": "math:Honda_RA106", "predicate": "proves", "object": "the honda ra106 (originally known as the bar 008) was the car with which the honda team competed in "}
{"subject": "math:R-matrix", "predicate": "proves", "object": "the term r-matrix has several meanings, depending on the field of study.\n\nthe term r-matrix is used "}
{"subject": "math:Homero_Richards", "predicate": "proves", "object": "homero richards (born june 8, 1976) is a mexican race car driver from mexico city. richards won back"}
{"subject": "math:Organophosphine", "predicate": "proves", "object": "organophosphines are organophosphorus compounds with the formula prnh3\u2212n, where r is an organic subs"}
{"subject": "math:CFD-ACE+", "predicate": "proves", "object": "cfd-ace+ is a commercial computational fluid dynamics solver developed by esi group. it solves the c"}
{"subject": "math:Sears\u2013Haack_body", "predicate": "proves", "object": "the sears\u2013haack body is the shape with the lowest theoretical wave drag in supersonic flow, for a gi"}
{"subject": "math:STUDENT_(computer_program)", "predicate": "proves", "object": "student is an early artificial intelligence program that solves algebra word problems. it is written"}
{"subject": "math:Matrix-free_methods", "predicate": "proves", "object": "in computational mathematics, a matrix-free method is an algorithm for solving a linear system of eq"}
{"subject": "math:Table_of_thermodynamic_equations", "predicate": "proves", "object": "common thermodynamic equations and quantities in thermodynamics, using mathematical notation, are as"}
{"subject": "math:Picolinic_acid", "predicate": "proves", "object": "picolinic acid is an organic compound with the formula ). it is a derivative of pyridine with a carb"}
{"subject": "math:Incomplete_LU_factorization", "predicate": "proves", "object": "in numerical linear algebra, an incomplete lu factorization (abbreviated as ilu) of a matrix is a sp"}
{"subject": "math:Modified_Richardson_iteration", "predicate": "proves", "object": "modified richardson iteration is an iterative method for solving a system of linear equations. richa"}
{"subject": "math:1998_Indy_Lights_season", "predicate": "proves", "object": "the 1998 cart ppg/dayton indy lights championship consisted of 14 races. future 2002 cart champion a"}
{"subject": "math:Bad_tendency", "predicate": "proves", "object": "in united states law, the bad tendency principle was a test that permitted restriction of freedom of"}
{"subject": "math:Ballistic_shield", "predicate": "proves", "object": "a ballistic shield, also called a tactical shield or bulletproof shield, is a protection device depl"}
{"subject": "math:PEG_400", "predicate": "proves", "object": "peg 400 (polyethylene glycol 400) is a low-molecular-weight grade of polyethylene glycol. it is a cl"}
{"subject": "math:Valentin_Po\u00e9naru", "predicate": "proves", "object": "valentin alexandre po\u00e9naru (born 1932 in bucharest) is a romanian\u2013french mathematician. he was a pro"}
{"subject": "math:Altered_(film)", "predicate": "proves", "object": "altered is a 2006 american science fiction horror film directed by eduardo s\u00e1nchez and written by ja"}
{"subject": "math:Multiplicative_distance", "predicate": "proves", "object": "in algebraic geometry,  is said to be a multiplicative distance function over a field if it satisfie"}
{"subject": "math:Aggregation_problem", "predicate": "proves", "object": "in economics, an aggregate is a summary measure. it replaces a vector that is composed of many real "}
{"subject": "math:Hilbert_system", "predicate": "proves", "object": "in mathematical physics, hilbert system is an infrequently used term for a physical system described"}
{"subject": "math:Hasegawa\u2013Mima_equation", "predicate": "proves", "object": "in plasma physics, the hasegawa\u2013mima equation, named after akira hasegawa and kunioki mima, is an eq"}
{"subject": "math:Automath", "predicate": "proves", "object": "automath (\"automating mathematics\") is a formal language, devised by nicolaas govert de bruijn start"}
{"subject": "math:Three_Worlds_Theory", "predicate": "proves", "object": "in the field of international relations, the three worlds theory () of mao zedong, first formulated "}
{"subject": "math:C3H6O", "predicate": "proves", "object": "the molecular formula  may refer to:\n\nalcohols\nallyl alcohol or 2-propen-1-ol, ch2=ch-ch2oh, cas num"}
{"subject": "math:Clutching_construction", "predicate": "proves", "object": "in topology, a branch of mathematics, the clutching construction is a way of constructing fiber bund"}
{"subject": "math:Generalized_Poincar\u00e9_conjecture", "predicate": "proves", "object": "in the mathematical area of topology, the generalized poincar\u00e9 conjecture is a statement that a mani"}
{"subject": "math:Gelenbevi_Ismail_Efendi", "predicate": "proves", "object": "ismail (bin mustafa bin mahm\u00fbd) gelenbevi (1730\u20131790 or 1791) was an ottoman turkish mathematician, "}
{"subject": "math:Bis(triphenylphosphine)iminium_chloride", "predicate": "proves", "object": "bis(triphenylphosphine)iminium chloride is the chemical compound with the formula , often abbreviate"}
{"subject": "math:Double_exponential_function", "predicate": "proves", "object": "a double exponential function is a constant raised to the power of an exponential function.  the gen"}
{"subject": "math:Costamere", "predicate": "proves", "object": "the costamere is a structural-functional component of striated muscle cells which connects the sarco"}
{"subject": "math:Nonlinear_functional_analysis", "predicate": "proves", "object": "nonlinear functional analysis is a branch of mathematical analysis that deals with nonlinear mapping"}
{"subject": "math:BMW_Sauber_F1.06", "predicate": "proves", "object": "the bmw sauber f1.06 (or simply bmw f1.06) was the car with which the bmw sauber team competed in th"}
{"subject": "math:Bank_of_Papua_New_Guinea", "predicate": "proves", "object": "the bank of papua new guinea () is the central bank of papua new guinea, which has a core mandate to"}
{"subject": "math:Copper(II)_azide", "predicate": "proves", "object": "copper(ii) azide is a medium density explosive with the molecular formula .\n\n\n\nuses\ncopper azide is "}
{"subject": "math:ITC_Benguiat", "predicate": "proves", "object": "itc benguiat is a decorative serif typeface designed by ed benguiat and released by the internationa"}
{"subject": "math:Contraposition", "predicate": "proves", "object": "in logic and mathematics, contraposition refers to the inference of going from a conditional stateme"}
{"subject": "math:C19H28O2", "predicate": "proves", "object": "{{displaytitle:c19h28o2}}\nthe molecular formula c19h28o2 (molar mass: 288.42 g/mol, exact mass: 288."}
{"subject": "math:Algebraic_fraction", "predicate": "proves", "object": "in algebra, an algebraic fraction is a fraction whose numerator and denominator are algebraic expres"}
{"subject": "math:Geometry_of_interaction", "predicate": "proves", "object": "the geometry of interaction (goi) was introduced by jean-yves girard shortly after his work on linea"}
{"subject": "math:SCM_(Scheme_implementation)", "predicate": "proves", "object": "scm is a programming language, a dialect of the language scheme.\n\nlanguage\nit is written in the lang"}
{"subject": "math:Rippling", "predicate": "proves", "object": "in computer science, more particularly in automated theorem proving, rippling refers to a group of m"}
{"subject": "math:OMDoc", "predicate": "proves", "object": "omdoc (open mathematical documents) is a semantic markup format for mathematical documents. while ma"}
{"subject": "math:No-teleportation_theorem", "predicate": "proves", "object": "in quantum information theory, the no-teleportation theorem states that an arbitrary quantum state c"}
{"subject": "math:Ethylene_carbonate", "predicate": "proves", "object": "ethylene carbonate (sometimes abbreviated ec) is the organic compound with the formula (ch2o)2co.  i"}
{"subject": "math:Lithium_hexafluorophosphate", "predicate": "proves", "object": "lithium hexafluorophosphate is an inorganic compound with the formula lipf6. it is a white crystalli"}
{"subject": "math:Red_Bull_RB2", "predicate": "proves", "object": "the red bull rb2 is the car with which the red bull racing team competed in the 2006 formula one sea"}
{"subject": "math:Dupuit\u2013Forchheimer_assumption", "predicate": "proves", "object": "the dupuit\u2013forchheimer assumption holds that groundwater flows horizontally in an unconfined aquifer"}
{"subject": "math:Mishnat_ha-Middot", "predicate": "proves", "object": "the mishnat ha-middot (,  'treatise of measures') is the earliest known hebrew treatise on geometry,"}
{"subject": "math:McLaren_MP4/10", "predicate": "proves", "object": "the mclaren mp4/10 was the formula one car with which the mclaren team competed in the 1995 formula "}
{"subject": "math:Dithionate", "predicate": "proves", "object": "the dithionate (or metabisulfate) anion, , is a sulfur oxoanion derived from dithionic acid, h2s2o6."}
{"subject": "math:The_Race_(TV_series)", "predicate": "proves", "object": "the race is a reality game show broadcast on sky one in the uk from 6 to 12 november 2006, hosted by"}
{"subject": "math:Williams_FW28", "predicate": "proves", "object": "the williams fw28 was the car with which the williams team competed in the  formula one season.  the"}
{"subject": "math:Complex_polytope", "predicate": "proves", "object": "in geometry, a complex polytope is a generalization of a polytope in real space to an analogous stru"}
{"subject": "math:Death_Proof", "predicate": "proves", "object": "death proof is a 2007 american slasher film written and directed by quentin tarantino. it stars kurt"}
{"subject": "math:Footwork_FA16", "predicate": "proves", "object": "the footwork fa16 was a formula one car designed by alan jenkins and used by the footwork team in th"}
{"subject": "math:Pharmaceutical_formulation", "predicate": "proves", "object": "pharmaceutical formulation, in pharmaceutics, is the process in which different chemical substances,"}
{"subject": "math:Injection_lipolysis", "predicate": "proves", "object": "injection lipolysis is a controversial cosmetic procedure in which drug mixtures are injected into p"}
{"subject": "math:Great_grand_stellated_120-cell", "predicate": "proves", "object": "in geometry, the great grand stellated 120-cell or great grand stellated polydodecahedron is a regul"}
{"subject": "math:Grand_600-cell", "predicate": "proves", "object": "in geometry, the grand 600-cell or grand polytetrahedron is a regular star 4-polytope with schl\u00e4fli "}
{"subject": "math:Small_stellated_120-cell", "predicate": "proves", "object": "in geometry, the small stellated 120-cell or stellated polydodecahedron is a regular star 4-polytope"}
{"subject": "math:Icosahedral_120-cell", "predicate": "proves", "object": "in geometry, the icosahedral 120-cell, polyicosahedron, faceted 600-cell or icosaplex is a regular s"}
{"subject": "math:Grand_120-cell", "predicate": "proves", "object": "in geometry, the grand 120-cell or grand polydodecahedron is a regular star 4-polytope with schl\u00e4fli"}
{"subject": "math:Great_stellated_120-cell", "predicate": "proves", "object": "in geometry, the great stellated  120-cell or great stellated polydodecahedron is a regular star 4-p"}
{"subject": "math:Great_grand_120-cell", "predicate": "proves", "object": "in geometry, the great grand 120-cell or great grand polydodecahedron is a regular star 4-polytope w"}
{"subject": "math:Great_icosahedral_120-cell", "predicate": "proves", "object": "in geometry, the great icosahedral 120-cell, great polyicosahedron or great faceted 600-cell is a re"}
{"subject": "math:Great_120-cell", "predicate": "proves", "object": "in geometry, the great 120-cell or great polydodecahedron is a regular star 4-polytope with schl\u00e4fli"}
{"subject": "math:Grand_stellated_120-cell", "predicate": "proves", "object": "in geometry, the grand stellated  120-cell or grand stellated polydodecahedron is a regular star 4-p"}
{"subject": "math:Pipe_dope", "predicate": "proves", "object": "pipe dope is any thread lubricant, thread sealing compound, or anaerobic chemical sealant that is us"}
{"subject": "math:Kutta\u2013Joukowski_theorem", "predicate": "proves", "object": "the kutta\u2013joukowski theorem is a fundamental theorem in aerodynamics used for the calculation of lif"}
{"subject": "math:Uniform_polyhedron_compound", "predicate": "proves", "object": "in geometry, a uniform polyhedron compound is a polyhedral compound whose constituents are identical"}
{"subject": "math:McGuire_(disambiguation)", "predicate": "proves", "object": "mcguire is an irish surname.\n\nmcguire may also refer to:\n\n mcguire (formula one), 1977 formula one c"}
{"subject": "math:Future_GPX_Cyber_Formula_SIN", "predicate": "proves", "object": "is a 1998 japanese original video animation (ova) series. it is the fourth and last arc of the futur"}
{"subject": "math:Faceting", "predicate": "proves", "object": "stella octangula as a faceting of the cube\n\nin geometry, faceting (also spelled facetting) is the pr"}
{"subject": "math:Caret_(disambiguation)", "predicate": "proves", "object": "caret may refer to:\n\n a caret is a free-standing  character used in computing.\n caret (proofreading)"}
{"subject": "math:Leray\u2013Hirsch_theorem", "predicate": "proves", "object": "in mathematics, the leray\u2013hirsch theorem is a basic result on the algebraic topology of fiber bundle"}
{"subject": "math:Brad_Jones_Racing", "predicate": "proves", "object": "brad jones racing is an australian motor racing team owned by brad jones based in albury. the team c"}
{"subject": "math:Copper(I)_acetylide", "predicate": "proves", "object": "copper(i) acetylide, or cuprous acetylide, is a chemical compound with the formula cu2c2.  although "}
{"subject": "math:Joan_Birman", "predicate": "proves", "object": "joan sylvia lyttle birman (born may 30, 1927, in new york city) is an american mathematician, specia"}
{"subject": "math:Regular_Polytopes_(book)", "predicate": "proves", "object": "regular polytopes is a geometry book on regular polytopes written by harold scott macdonald coxeter."}
{"subject": "math:Shallow_water_equations", "predicate": "proves", "object": "the shallow-water equations (swe) are a set of hyperbolic partial differential equations (or parabol"}
{"subject": "math:Weakly_contractible", "predicate": "proves", "object": "in mathematics, a topological space is said to be weakly contractible if all of its homotopy groups "}
{"subject": "math:2006_Formula_3_Euro_Series", "predicate": "proves", "object": "the 2006 formula 3 euro series season was the fourth championship year of europe\u2019s premier formula t"}
{"subject": "math:Pompeiu's_theorem", "predicate": "proves", "object": "pompeiu's theorem is a result of plane geometry, discovered by the romanian mathematician dimitrie p"}
{"subject": "math:Ackermann_set_theory", "predicate": "proves", "object": "in mathematics and logic, ackermann set theory (ast) is an axiomatic set theory proposed by wilhelm "}
{"subject": "math:Tetrahydroxyborate", "predicate": "proves", "object": "tetrahydroxyborate is an inorganic anion with the chemical formula  or . it contributes no colour to"}
{"subject": "math:Weinstein\u2013Aronszajn_identity", "predicate": "proves", "object": "in mathematics, the weinstein\u2013aronszajn identity  states that if  and  are matrices of size  and  re"}
{"subject": "math:Bell_207_Sioux_Scout", "predicate": "proves", "object": "the bell 207 sioux scout is a modified bell 47 helicopter, developed by bell helicopter under contra"}
{"subject": "math:Undecylenic_acid", "predicate": "proves", "object": "undecylenic acid is an organic compound with the formula ch2=ch(ch2)8co2h. it is an unsaturated fatt"}
{"subject": "math:Flaming_drink", "predicate": "proves", "object": "a flaming drink is a cocktail or other mixed drink that contains flammable, high-proof alcohol, whic"}
{"subject": "math:List_of_non-alcoholic_mixed_drinks", "predicate": "proves", "object": "a non-alcoholic mixed drink (also known as virgin cocktail, temperance drink, or mocktail) is a cock"}
{"subject": "math:Thaddeus_Vincenty", "predicate": "proves", "object": "thaddeus vincenty (born tadeusz szpila; 27 october 1920 \u2013 6 march 2002) was a polish american geodes"}
{"subject": "math:1,4,7-Trithiacyclononane", "predicate": "proves", "object": "1,4,7-trithiacyclononane, also called 9-ane-s3, is the thia-crown ether with the formula (ch2ch2s)3."}
{"subject": "math:2005_Formula_3_Euro_Series", "predicate": "proves", "object": "the 2005 formula 3 euro series season was the third championship year of europe's premier formula th"}
{"subject": "math:Germund_Dahlquist", "predicate": "proves", "object": "germund dahlquist (16 january 1925 \u2013 8 february 2005) was a swedish mathematician known primarily fo"}
{"subject": "math:Coded_Arms:_Contagion", "predicate": "proves", "object": "coded arms: contagion is a first-person shooter video game developed by russian studio creat studios"}
{"subject": "math:Hanno_Rund", "predicate": "proves", "object": "hanno rund (26 october 1925 in schwerin \u2013 5 january 1993 in tucson, arizona) was a german mathematic"}
{"subject": "math:Heptagonal_antiprism", "predicate": "proves", "object": "in geometry, the heptagonal antiprism is the fifth in an infinite set of antiprisms formed by an eve"}
{"subject": "math:Henri_Cohen_(number_theorist)", "predicate": "proves", "object": "henri cohen (born 8 june 1947) is a number theorist, and a professor at the university of bordeaux. "}
{"subject": "math:Steve_Baker_(motorcyclist)", "predicate": "proves", "object": "steve baker (born september 5, 1952) is an american former professional grand prix motorcycle roadra"}
{"subject": "math:Sodium_permanganate", "predicate": "proves", "object": "sodium permanganate is the inorganic compound with the formula namno4. it is closely related to the "}
{"subject": "math:B\u00fcrgi\u2013Dunitz_angle", "predicate": "proves", "object": "the b\u00fcrgi\u2013dunitz angle (bd angle) is one of two angles that fully define the geometry of \"attack\" (a"}
{"subject": "math:Clifford_bundle", "predicate": "proves", "object": "in mathematics, a clifford bundle is an algebra bundle whose fibers have the structure of a clifford"}
{"subject": "math:Yuri_Burago", "predicate": "proves", "object": "yuri dmitrievich burago (; born 1936) is a russian mathematician.  he works in differential and conv"}
{"subject": "math:Toro_Rosso_STR1", "predicate": "proves", "object": "the scuderia toro rosso str1 was the car with which the scuderia toro rosso team competed in the  fo"}
{"subject": "math:Lotus_76", "predicate": "proves", "object": "the lotus 76 is a formula one car designed by colin chapman, tony rudd and ralph bellamy and used by"}
{"subject": "math:Lotus_77", "predicate": "proves", "object": "the lotus 77 was a formula one racing car designed by colin chapman, geoff aldridge and martin ogilv"}
{"subject": "math:Lotus_99T", "predicate": "proves", "object": "the lotus 99t is a formula one car designed by g\u00e9rard ducarouge for use by lotus in the 1987 formula"}
{"subject": "math:Sweep_line_algorithm", "predicate": "proves", "object": "in computational geometry, a sweep line algorithm or plane sweep algorithm is an algorithmic paradig"}
{"subject": "math:List_of_books_in_computational_geometry", "predicate": "proves", "object": "this is a list of books in computational geometry.\nthere are two major, largely nonoverlapping categ"}
{"subject": "math:Cammell_Laird_Social_Club", "predicate": "proves", "object": "cammell laird social club is the ninth album released by birkenhead-based uk rock band half man half"}
{"subject": "math:Indra's_Pearls_(book)", "predicate": "proves", "object": "indra's pearls: the vision of felix klein is a geometry book written by david mumford, caroline seri"}
{"subject": "math:Brabham_BT55", "predicate": "proves", "object": "the brabham bt55 was a formula one racing car designed by gordon murray and david north for the brab"}
{"subject": "math:Discharging_method_(discrete_mathematics)", "predicate": "proves", "object": "the discharging method is a technique used to prove lemmas in structural graph theory.  discharging "}
{"subject": "math:Conservation_form", "predicate": "proves", "object": "conservation form or eulerian form refers to an arrangement of an equation or system of equations, u"}
{"subject": "math:Multiplication_theorem", "predicate": "proves", "object": "in mathematics, the multiplication theorem is a certain type of identity obeyed by many special func"}
{"subject": "math:Resolvent_set", "predicate": "proves", "object": "in linear algebra and operator theory, the resolvent set of a linear operator is a set of complex nu"}
{"subject": "math:Stokesian_dynamics", "predicate": "proves", "object": "stokesian dynamics\nis a solution technique for the langevin equation, which is the relevant form of "}
{"subject": "math:August_F\u00f6ppl", "predicate": "proves", "object": "august otto f\u00f6ppl (25 january 1854 \u2013 12 august 1924) was a professor of technical mechanics and grap"}
{"subject": "math:Octadecagon", "predicate": "proves", "object": "in geometry, an octadecagon (or octakaidecagon) or 18-gon is an eighteen-sided polygon.\n\nregular oct"}
{"subject": "math:Furqan", "predicate": "proves", "object": "furqan (arabic: \u0641\u064f\u0631\u0642\u064e\u0627\u0646 furq\u0101n), also spelt furqaan, is an arabic islamic masculine given name, whic"}
{"subject": "math:Dual_quaternion", "predicate": "proves", "object": "in mathematics, the dual quaternions are an 8-dimensional real algebra isomorphic to the tensor prod"}
{"subject": "math:Pegylated_interferon", "predicate": "proves", "object": "pegylated interferon (peg-ifn) is a class of medication that includes three different drugs as of 20"}
{"subject": "math:Formula_LGB_Swift", "predicate": "proves", "object": "formula lgb swift is a single seater, open wheel class in motorsport in india launched in 2003. the "}
{"subject": "math:Formula_LGB_Hyundai", "predicate": "proves", "object": "formula lgb hyundai is a single seater, open wheel class of motorsport in india launched in 2006 by "}
{"subject": "math:Formula_Rolon", "predicate": "proves", "object": "formula rolon, also known as formula rolon chevrolet and later formula rolon 2010 is an open wheel s"}
{"subject": "math:Guylian", "predicate": "proves", "object": "guylian (, ) is a belgian chocolate brand and manufacturer best known for its seashell shaped pralin"}
{"subject": "math:Formula_Super_Vee", "predicate": "proves", "object": "formula super vee was an open-wheel racing series that took place in europe and the united states fr"}
{"subject": "math:Emma_Lew", "predicate": "proves", "object": "emma lew (born 1962) is a contemporary australian poet.\n\nborn in melbourne, emma lew studied arts at"}
{"subject": "math:Lotus_95T", "predicate": "proves", "object": "the lotus 95t was a formula one racing car designed by g\u00e9rard ducarouge for use by team lotus in the"}
{"subject": "math:Evidence-based_legislation", "predicate": "proves", "object": "evidence-based legislation (ebl) refers to the practice of using the best available scientific evide"}
{"subject": "math:Ernest_S._Croot_III", "predicate": "proves", "object": "ernest s. croot iii is a mathematician and professor at the school of mathematics, georgia institute"}
{"subject": "math:Carlos_Iaconelli", "predicate": "proves", "object": "carlos \"iaco\" iaconelli (born june 26, 1987) is a brazilian racing car driver.\n\ncareer\n\nhe spent muc"}
{"subject": "math:Thierry_Aubin", "predicate": "proves", "object": "thierry aubin (6 may 1942 \u2013 21 march 2009) was a french mathematician who worked at the centre de ma"}
{"subject": "math:Isaac_Baer_Levinsohn", "predicate": "proves", "object": "isaac baer levinsohn (; october 13, 1788 \u2013 february 13, 1860), also known as the ribal (), was a jew"}
{"subject": "math:Melbourne_Grand_Prix", "predicate": "proves", "object": "melbourne grand prix may refer to:\n\naustralian grand prix, a formula one auto race\nmelbourne grand p"}
{"subject": "math:Hexamethylenediamine", "predicate": "proves", "object": "hexamethylenediamine is the organic compound with the formula h2n(ch2)6nh2. the molecule is a diamin"}
{"subject": "math:Skorokhod's_embedding_theorem", "predicate": "proves", "object": "in mathematics and probability theory, skorokhod's embedding theorem is either or both of two theore"}
{"subject": "math:Encirclement_campaigns", "predicate": "proves", "object": "encirclement campaigns (), officially called in chinese communist historiography as the agrarian rev"}
{"subject": "math:Aston_Martin_AMR1", "predicate": "proves", "object": "the aston martin amr1 was a group c formula racing car developed in 1989 for car manufacturer aston "}
{"subject": "math:Ethanedisulfonic_acid", "predicate": "proves", "object": "ethanedisulfonic acid is a diprotic sulfonic acid, with pka values of -1.46 and -2.06, making it a v"}
{"subject": "math:Sylvester's_formula", "predicate": "proves", "object": "in matrix theory, sylvester's formula or sylvester's matrix theorem (named after j. j. sylvester) or"}
{"subject": "math:Michael_Boardman", "predicate": "proves", "object": "john michael boardman (13 february 193818 march 2021) was a mathematician whose speciality was algeb"}
{"subject": "math:Institute_of_Medicine_Equation", "predicate": "proves", "object": "the institute of medicine equation was published in september 2002. it is the equation which is behi"}
{"subject": "math:2007_Formula_Renault_3.5_Series", "predicate": "proves", "object": "the 2007 formula renault 3.5 series was the third formula renault 3.5 series season. began on 14 apr"}
{"subject": "math:McLaren_M26", "predicate": "proves", "object": "the mclaren m26 was a formula one racing car designed by gordon coppuck for the mclaren team, to rep"}
{"subject": "math:Isothetic", "predicate": "proves", "object": "isothetic (from greek roots: iso- for \"equal, same, similar\" and  for position, placement) may refer"}
{"subject": "math:M_code", "predicate": "proves", "object": "m code or m-code may refer to:\n\n machine code\n matlab programming language\n m-code, gps signals for "}
{"subject": "math:Vexation_and_Venture", "predicate": "proves", "object": "\"vexation and venture\" is a conference format designed so problems and dilemmas are presented within"}
{"subject": "math:Digital_sculpting", "predicate": "proves", "object": "digital sculpting, also known as sculpt modeling or 3d sculpting, is the use of software that offers"}
{"subject": "math:Cyclooctane", "predicate": "proves", "object": "cyclooctane is a cycloalkane with the molecular formula (ch2)8. it is a simple colourless hydrocarbo"}
{"subject": "math:Internal_flow", "predicate": "proves", "object": "in fluid mechanics, internal flow is a flow wherein the fluid is completely confined by inner surfac"}
{"subject": "math:Asia_Motor_Technologies_France", "predicate": "proves", "object": "asiatech was the trade name of asia motor technologies france, a company founded in 2000 by japanese"}
{"subject": "math:Copositive_matrix", "predicate": "proves", "object": "in mathematics, specifically linear algebra, a real matrix a is copositive if\n\nfor every nonnegative"}
{"subject": "math:IML++", "predicate": "proves", "object": "iml++, or the iterative methods library, is a c++ library for solving linear systems of equations.  "}
{"subject": "math:Calvin_Fish", "predicate": "proves", "object": "calvin fish (born 22 july 1961 in norwich) is a british  television commentator for nbc sports and a"}
{"subject": "math:Jonny_Kane", "predicate": "proves", "object": "jonathan ernest kane (born 14 may 1973) is a british racing driver who has competed at various level"}
{"subject": "math:Complementary_sequences", "predicate": "proves", "object": "for complementary sequences in biology, see complementarity (molecular biology). for integer sequenc"}
{"subject": "math:Dickinson_System", "predicate": "proves", "object": "the dickinson system was a mathematical point formula that awarded national championships in college"}
{"subject": "math:Derek_Higgins", "predicate": "proves", "object": "derek higgins (; born june 12, 1964) is an irish former race car driver.\n\nborn in dublin, he was a t"}
{"subject": "math:Arden_Buck_equation", "predicate": "proves", "object": "the arden buck equations are a group of empirical correlations that relate the saturation vapor pres"}
{"subject": "math:Ross_Cheever", "predicate": "proves", "object": "ross cheever (born april 12, 1964 in rome, italy) is a retired american race car driver and is the y"}
{"subject": "math:Planar_Hall_sensor", "predicate": "proves", "object": "the planar hall sensor is a type of magnetic sensor based on the planar hall effect of ferromagnetic"}
{"subject": "math:Inclusiveness_and_exclusivity_in_Ayyavazhi", "predicate": "proves", "object": "inclusiveness and exclusivity in ayyavazhi is the inclusive and exclusive ideology of ayyavazhi scri"}
{"subject": "math:Edwin_C._Nevis", "predicate": "proves", "object": "edwin c. nevis (may 20, 1926, brooklyn, new york \u2013 may 20, 2011, wellfleet, massachusetts) was a ges"}
{"subject": "math:Pleasure_Craft_Operator_Card", "predicate": "proves", "object": "the pleasure craft operator card (pcoc) is a document used in canada as proof of competency to opera"}
{"subject": "math:Formula_409", "predicate": "proves", "object": "formula 409 or 409 is an american brand of home and industrial cleaning products well known in the u"}
{"subject": "math:Quasiregular_polyhedron", "predicate": "proves", "object": "in geometry, a quasiregular polyhedron is a uniform polyhedron that has exactly two kinds of regular"}
{"subject": "math:Cuboctahedral_prism", "predicate": "proves", "object": "in geometry, a cuboctahedral prism is a convex uniform 4-polytope. this 4-polytope has 16 polyhedral"}
{"subject": "math:Uniform_antiprismatic_prism", "predicate": "proves", "object": "in 4-dimensional geometry, a uniform antiprismatic prism or antiduoprism is a uniform 4-polytope wit"}
{"subject": "math:Octahedral_prism", "predicate": "proves", "object": "in geometry, an octahedral prism is a convex uniform 4-polytope. this 4-polytope has 10 polyhedral c"}
{"subject": "math:Lehman_Formula", "predicate": "proves", "object": "the lehman formula, also known as the lehman scale, is a formula to define the compensation a bank o"}
{"subject": "math:History_of_Grandi's_series", "predicate": "proves", "object": "\n\ngeometry and infinite zeros\n\ngrandi\nguido grandi (1671\u20131742) reportedly provided a simplistic acco"}
{"subject": "math:Nqthm", "predicate": "proves", "object": "nqthm is a theorem prover sometimes referred to as the boyer\u2013moore theorem prover. it was a precurso"}
{"subject": "math:Crimond_Raceway", "predicate": "proves", "object": "crimond raceway is the most northerly stock car track in the united kingdom. it is located about a m"}
{"subject": "math:1985_European_Formula_3000_Championship", "predicate": "proves", "object": "the 1985 european formula 3000 championship was the inaugural season of the formula 3000 category. t"}
{"subject": "math:Shalom_(film)", "predicate": "proves", "object": "hailed by critics as \"the first and probably last israeli hippie film\", shalom (wayfarer's prayer) i"}
{"subject": "math:Fedor_Bogomolov", "predicate": "proves", "object": "fedor alekseyevich bogomolov (born 26 september 1946) (\u0444\u0451\u0434\u043e\u0440 \u0430\u043b\u0435\u043a\u0441\u0435\u0435\u0432\u0438\u0447 \u0431\u043e\u0433\u043e\u043c\u043e\u043b\u043e\u0432) is a russian and "}
{"subject": "math:Copper_benzoate", "predicate": "proves", "object": "copper benzoate is the chemical compound with the formula cu(c6h5co2)2.  this coordination complex i"}
{"subject": "math:2004_Formula_3_Euro_Series", "predicate": "proves", "object": "the 2004 formula 3 euro series season was the second championship year of europe's premier formula t"}
{"subject": "math:Subspace_theorem", "predicate": "proves", "object": "in mathematics, the subspace theorem says that points of small height in projective space lie in a f"}
{"subject": "math:Heptagonal_tiling", "predicate": "proves", "object": "in geometry, a heptagonal tiling is a regular tiling of the hyperbolic plane. it is represented by s"}
{"subject": "math:Order-7_triangular_tiling", "predicate": "proves", "object": "in geometry, the order-7 triangular tiling is a regular tiling of the hyperbolic plane with a schl\u00e4f"}
{"subject": "math:Triheptagonal_tiling", "predicate": "proves", "object": "in geometry, the triheptagonal tiling is a semiregular tiling of the hyperbolic plane, representing "}
{"subject": "math:Truncated_triheptagonal_tiling", "predicate": "proves", "object": "in geometry, the truncated triheptagonal tiling is a semiregular tiling of the hyperbolic plane. the"}
{"subject": "math:Aguri_Suzuki_F-1_Super_Driving", "predicate": "proves", "object": "aguri suzuki f-1 super driving, released as redline f-1 racer in north america, is a formula one rac"}
{"subject": "math:1986_International_Formula_3000_Championship", "predicate": "proves", "object": "the 1986 international formula 3000 championship was contested over an eleven-round series. a total "}
{"subject": "math:Golod\u2013Shafarevich_theorem", "predicate": "proves", "object": "in mathematics, the golod\u2013shafarevich theorem was proved in 1964 by evgeny golod and igor shafarevic"}
{"subject": "math:Offensive_rating", "predicate": "proves", "object": "offensive proficiency rating or offensive  productive efficiency is a statistic used in basketball t"}
{"subject": "math:2-Chloropropionic_acid", "predicate": "proves", "object": "2-chloropropionic acid (2-chloropropanoic acid) is the chemical compound with the formula ch3chclco2"}
{"subject": "math:Industrial_Silence", "predicate": "proves", "object": "industrial silence is the debut album by norwegian alternative rock band madrugada. the album contai"}
{"subject": "math:Simple_polytope", "predicate": "proves", "object": "in geometry, a -dimensional simple polytope is a -dimensional polytope each of whose vertices are ad"}
{"subject": "math:Simplicial_polytope", "predicate": "proves", "object": "in geometry, a simplicial polytope is a polytope whose facets are all simplices. for example, a simp"}
{"subject": "math:Ponderomotive_energy", "predicate": "proves", "object": "in strong-field laser physics, ponderomotive energy is the cycle-averaged quiver energy of a free el"}
{"subject": "math:Holy_Synod_of_the_Coptic_Orthodox_Church", "predicate": "proves", "object": "the holy synod of the coptic orthodox church of alexandria is the highest orthodox authority in the "}
{"subject": "math:Euler's_continued_fraction_formula", "predicate": "proves", "object": "in the analytic theory of continued fractions, euler's continued fraction formula is an identity con"}
{"subject": "math:Chinese_classic_herbal_formula", "predicate": "proves", "object": "chinese classic herbal formulas () are combinations of herbs used in chinese herbology for supposed "}
{"subject": "math:Monica_Staggs", "predicate": "proves", "object": "monica staggs (born february 24, 1970) is an american stuntwoman and actress. her acting credits inc"}
{"subject": "math:Discovery_doctrine", "predicate": "proves", "object": "the discovery doctrine, or doctrine of discovery, is a disputed interpretation of international law "}
{"subject": "math:Amoeba_(mathematics)", "predicate": "proves", "object": "in complex analysis, a branch of mathematics, an amoeba is a set associated with a polynomial in one"}
{"subject": "math:Stefan_number", "predicate": "proves", "object": "the stefan number  (st or ste) is defined as the ratio of sensible heat to latent heat. it is given "}
{"subject": "math:1987_International_Formula_3000_Championship", "predicate": "proves", "object": "the 1987 international formula 3000 season was the third season of fia formula 3000 motor racing. it"}
{"subject": "math:Trimesic_acid", "predicate": "proves", "object": "trimesic acid, also known as benzene-1,3,5-tricarboxylic acid, is an organic compound with the formu"}
{"subject": "math:Graduate_Studies_in_Mathematics", "predicate": "proves", "object": "graduate studies in mathematics (gsm) is a series of graduate-level textbooks in mathematics publish"}
{"subject": "math:1988_International_Formula_3000_Championship", "predicate": "proves", "object": "the 1988 international formula 3000 championship was contested over 11 rounds. 24 different teams, 6"}
{"subject": "math:Gavin_Ward_(engineer)", "predicate": "proves", "object": "gavin ward (born november 11, 1984) is a canadian engineer working for arrow mclaren in the indycar "}
{"subject": "math:Kirchhoff_equations", "predicate": "proves", "object": "in fluid dynamics, the kirchhoff equations, named after gustav kirchhoff, describe the motion of a r"}
{"subject": "math:Camille-Christophe_Gerono", "predicate": "proves", "object": "camille-christophe gerono (1799 in paris, france \u2013 1891 in paris) was a french mathematician. he con"}
{"subject": "math:Adria_International_Raceway", "predicate": "proves", "object": "adria international raceway was a motorsport race track near adria in the veneto region of northern "}
{"subject": "math:Function_series", "predicate": "proves", "object": "in calculus, a function series is a series, where the summands are not just real or complex numbers "}
{"subject": "math:Aspherical", "predicate": "proves", "object": "aspherical may refer to:\n\n aspherical space, a concept in topology\n aspherical lens, a type of lens "}
{"subject": "math:Marotta", "predicate": "proves", "object": "founded in 1943, marotta controls, inc. is one of the technology businesses in new jersey, specializ"}
{"subject": "math:Pillai_prime", "predicate": "proves", "object": "in number theory, a pillai prime is a prime number p for which there is an integer n > 0 such that t"}
{"subject": "math:Nonlinear_acoustics", "predicate": "proves", "object": "nonlinear acoustics (nla) is a branch of physics and acoustics dealing with sound waves of sufficien"}
{"subject": "math:Gibbs\u2013Duhem_equation", "predicate": "proves", "object": "in thermodynamics, the gibbs\u2013duhem equation describes the relationship between changes in chemical p"}
{"subject": "math:Negative_pedal_curve", "predicate": "proves", "object": "in geometry, a negative pedal curve is a plane curve that can be constructed from another plane curv"}
{"subject": "math:Aqueous_cream", "predicate": "proves", "object": "aqueous cream bp, also known as sorbolene, is a light, hydrocarbon-based emulsion, which is official"}
{"subject": "math:1989_International_Formula_3000_Championship", "predicate": "proves", "object": "the 1989 international formula 3000 championship was contested over 10 rounds. jean alesi won the ti"}
{"subject": "math:John_Alan_Robinson", "predicate": "proves", "object": "john alan robinson (9 march 1930 \u2013 5 august 2016) was a philosopher, mathematician, and computer sci"}
{"subject": "math:Fuel_model", "predicate": "proves", "object": "a fuel model is a stylized set of fuel bed characteristics used as input for a variety of wildfire m"}
{"subject": "math:Bethe_formula", "predicate": "proves", "object": "the bethe formula or bethe\u2013bloch formula describes the mean energy loss per distance travelled of sw"}
{"subject": "math:Richard_Earl_Block", "predicate": "proves", "object": "richard earl block (born 1931) is a mathematician at the university of california, riverside who wor"}
{"subject": "math:Hat_Works", "predicate": "proves", "object": "the hat works is a museum in stockport, greater manchester, england, which opened in 2000.  before t"}
{"subject": "math:Midland_M16", "predicate": "proves", "object": "the midland m16, also known as the spyker m16, was the car with which the midland team competed in t"}
{"subject": "math:Super_Aguri_SA05", "predicate": "proves", "object": "the super aguri sa05 was the car with which the super aguri team competed in the first half of the  "}
{"subject": "math:Thioacetic_acid", "predicate": "proves", "object": "thioacetic acid is an organosulfur compound with the molecular formula . it is a thioic acid: the su"}
{"subject": "math:Gadget_(computer_science)", "predicate": "proves", "object": "in computational complexity theory, a gadget is a subunit of a problem instance that simulates the b"}
{"subject": "math:BOSS_GP", "predicate": "proves", "object": "the boss gp series is a motor racing series in europe. the category originated in 1995 as the boss f"}
{"subject": "math:Ankh_wedja_seneb", "predicate": "proves", "object": "ankh wedja seneb () is an egyptian phrase which often appears after the names of pharaohs, in refere"}
{"subject": "math:Alperin\u2013Brauer\u2013Gorenstein_theorem", "predicate": "proves", "object": "in mathematics, the alperin\u2013brauer\u2013gorenstein theorem characterizes the  finite simple groups with q"}
{"subject": "math:Ferrari_F2007", "predicate": "proves", "object": "the ferrari f2007 is a formula one motor racing car that was constructed by scuderia ferrari marlbor"}
{"subject": "math:Multiplicity_(statistical_mechanics)", "predicate": "proves", "object": "in statistical mechanics, multiplicity (also called statistical weight) refers to the number of micr"}
{"subject": "math:Modulation_sphere", "predicate": "proves", "object": "the modulation sphere or m-space formulation is a scheme or theory representing the system of effect"}
{"subject": "math:Super_Aguri_SA06", "predicate": "proves", "object": "the super aguri sa06 was the car with which the super aguri team competed in the latter part of the "}
{"subject": "math:IPSOS", "predicate": "proves", "object": "ipsos, meaning \"themselves\", is the magical formula of the aeon of ma'at as transmitted by nema anda"}
{"subject": "math:Mercedes-Benz_in_motorsport", "predicate": "proves", "object": "throughout its long history, mercedes-benz has been involved in a range of successful motorsport act"}
{"subject": "math:More_Beer", "predicate": "proves", "object": "more beer is the second studio album by fear, released in 1985 (see 1985 in music). frontman lee vin"}
{"subject": "math:Trimethylsilyl_azide", "predicate": "proves", "object": "trimethylsilyl azide is the organosilicon compound with the formula .  a colorless liquid, it is a r"}
{"subject": "math:Michele_Rugolo", "predicate": "proves", "object": "michele rugolo (born 31 august 1982 in montebelluna) is an italian racing driver.\n\ncareer\n\nformula r"}
{"subject": "math:1990_International_Formula_3000_Championship", "predicate": "proves", "object": "the 1990 international formula 3000 championship was a motor racing competition organised by the fia"}
{"subject": "math:Autodromo_Riccardo_Paletti", "predicate": "proves", "object": "autodromo riccardo paletti is a race track for motorsports near varano in the province of parma, ita"}
{"subject": "math:Aczel's_anti-foundation_axiom", "predicate": "proves", "object": "in the foundations of mathematics, aczel's anti-foundation axiom is an axiom set forth by , as an al"}
{"subject": "math:Caesium_bromide", "predicate": "proves", "object": "caesium bromide or cesium bromide is an ionic compound of caesium and bromine with the chemical form"}
{"subject": "math:Magnesium_bromide", "predicate": "proves", "object": "magnesium bromide is a chemical compound of magnesium and bromine, with the chemical formula . it is"}
{"subject": "math:Hydraulic_clearance", "predicate": "proves", "object": "hydraulic clearance. flow in narrow clearances are of vital importance in hydraulic system component"}
{"subject": "math:1991_International_Formula_3000_Championship", "predicate": "proves", "object": "the 1991 formula 3000 international championship was the seventh season of formula 3000 in europe. c"}
{"subject": "math:MIT_General_Circulation_Model", "predicate": "proves", "object": "the mit general circulation model (mitgcm) is a numerical computer code that solves the equations of"}
{"subject": "math:Schuberth", "predicate": "proves", "object": "schuberth gmbh is a german producer of safety helmets, producing combat helmets for bundeswehr (gefe"}
{"subject": "math:Finite_von_Neumann_algebra", "predicate": "proves", "object": "in mathematics, a finite von neumann algebra is a von neumann algebra in which every isometry is a u"}
{"subject": "math:Of_the_form", "predicate": "proves", "object": "in mathematics, the phrase \"of the form\" indicates that a mathematical object, or (more frequently) "}
{"subject": "math:Wadsleyite", "predicate": "proves", "object": "wadsleyite is an orthorhombic mineral with the formula \u03b2-(mg,fe)2sio4. it was first found in nature "}
{"subject": "math:Rahul_Pandharipande", "predicate": "proves", "object": "rahul pandharipande (born 1969) is a mathematician who is currently a professor of mathematics at th"}
{"subject": "math:Operational_calculus", "predicate": "proves", "object": "operational calculus, also known as operational analysis, is a technique by which problems in analys"}
{"subject": "math:Kudos", "predicate": "proves", "object": "kudos may refer to:\n\narts and media\n kudos (computer game), a life simulation game produced by posit"}
{"subject": "math:1992_International_Formula_3000_Championship", "predicate": "proves", "object": "the 1992 formula 3000 international championship was the eighth season of formula 3000 in europe. lu"}
{"subject": "math:1980_Spanish_Grand_Prix", "predicate": "proves", "object": "the 1980 spanish grand prix (formally the xxvi gran premio de espa\u00f1a) was a formula one motor race h"}
{"subject": "math:Equiareal_map", "predicate": "proves", "object": "in differential geometry, an equiareal map, sometimes called an authalic map, is a smooth map from o"}
{"subject": "math:2007_NCAA_Division_I_FBS_football_rankings", "predicate": "proves", "object": "three polls and one formulaic ranking make up the 2007 ncaa division i fbs (football bowl subdivisio"}
{"subject": "math:Formula_Five", "predicate": "proves", "object": "formula five was a british science magazine programme on bbc radio 5 aimed at listeners in their lat"}
{"subject": "math:John_Edward_Campbell", "predicate": "proves", "object": "john edward campbell (27 may 1862, lisburn, ireland \u2013 1 october 1924, oxford, oxfordshire, england) "}
{"subject": "math:Battle_Grand_Prix", "predicate": "proves", "object": "is a 1992 formula one racing video game developed by kid. one or two players can pit themselves in t"}
{"subject": "math:Source_term", "predicate": "proves", "object": "source term can refer to:\n\n a measure of radioactive contamination\n one of the terms in a linear dif"}
{"subject": "math:List_of_Formula_One_broadcasters", "predicate": "proves", "object": "this is a list of formula one broadcasters and 'world feed' producers. formula one, the highest leve"}
{"subject": "math:Wave_equation_analysis", "predicate": "proves", "object": "wave equation analysis is a numerical method of analysis for the behavior of driven foundation piles"}
{"subject": "math:Alfa_Romeo_in_motorsport", "predicate": "proves", "object": "during its history, alfa romeo has competed successfully in many different categories of motorsport,"}
{"subject": "math:John_Fitch_(computer_scientist)", "predicate": "proves", "object": "john peter fitch (also known as john ffitch) is a computer scientist, mathematician and composer, wh"}
{"subject": "math:Zinc_proteinate", "predicate": "proves", "object": "zinc proteinate is the final product resulting from the chelation of zinc with amino acids and/or pa"}
{"subject": "math:Williams_FW23", "predicate": "proves", "object": "the williams fw23 was the car with which the williams team competed in the 2001 formula one world ch"}
{"subject": "math:SU2", "predicate": "proves", "object": "su2 may refer to:\n\n su-2, a scout version of the vought o2u corsair biplane\n su(2), a special unitar"}
{"subject": "math:Twin_Prime_Search", "predicate": "proves", "object": "twin prime search (tps) is a volunteer computing project that looks for large twin primes. it uses t"}
{"subject": "math:I_(Cilvaringz_album)", "predicate": "proves", "object": "i is the debut album from wu-tang clan-affiliated producer cilvaringz. cilvaringz limited all produc"}
{"subject": "math:Renault_R27", "predicate": "proves", "object": "the renault r27 is a formula one racing car designed and produced by renault for the 2007 formula on"}
{"subject": "math:Nonlinear_conjugate_gradient_method", "predicate": "proves", "object": "in numerical optimization, the nonlinear conjugate gradient method generalizes the conjugate gradien"}
{"subject": "math:Blaney\u2013Criddle_equation", "predicate": "proves", "object": "the blaney\u2013criddle equation (named after h. f. blaney and w. d. criddle) is a method for estimating "}
{"subject": "math:Michael_Greenfield_(racing_driver)", "predicate": "proves", "object": "michael greenfield (born 15 april 1963) is an american former owner-driver in the cart series. born "}
{"subject": "math:Boom_Boom_Rocket", "predicate": "proves", "object": "boom boom rocket (bbr) is a downloadable video game for xbox 360's xbox live arcade service. boom bo"}
{"subject": "math:McLaren_MP4-22", "predicate": "proves", "object": "the mclaren mp4-22 is a formula one racing car that was constructed by the vodafone mclaren mercedes"}
{"subject": "math:Honda_RA107", "predicate": "proves", "object": "the honda ra107 is a formula one racing car with which honda racing f1 contested the 2007 formula on"}
{"subject": "math:Dirichlet_algebra", "predicate": "proves", "object": "in mathematics, a dirichlet algebra is a particular type of algebra associated to a compact hausdorf"}
{"subject": "math:Pawl_(constructor)", "predicate": "proves", "object": "pawl was an american racing car constructor, who competed in three rounds of the fia world champions"}
{"subject": "math:F103", "predicate": "proves", "object": "f103 may refer to :\n\n audi f103, a 1965 internal designation for a series of car models\n blas de lez"}
{"subject": "math:Diffusion_Monte_Carlo", "predicate": "proves", "object": "diffusion monte carlo (dmc) or diffusion quantum monte carlo is a quantum monte carlo method that us"}
{"subject": "math:Path_integral_Monte_Carlo", "predicate": "proves", "object": "path integral monte carlo (pimc) is a quantum monte carlo method used to solve quantum statistical m"}
{"subject": "math:Pyotr_Ufimtsev", "predicate": "proves", "object": "pyotr yakovlevich ufimtsev (sometimes also petr; ; born 1931) is a soviet/russian physicist and math"}
{"subject": "math:Augustin_Banyaga", "predicate": "proves", "object": "augustin banyaga (born march 31, 1947) is a rwandan-born american mathematician whose research field"}
{"subject": "math:Hypsometric_equation", "predicate": "proves", "object": "the hypsometric equation, also known as the thickness equation, relates an atmospheric pressure rati"}
{"subject": "math:Hypsometric", "predicate": "proves", "object": "hypsometric is a scientific term relating to the measurement of heights. the term originates from th"}
{"subject": "math:Isobutyramide", "predicate": "proves", "object": "isobutyramide in chemistry is an amide with the molecular formula c4h9no.\n\nisobutyramide can also re"}
{"subject": "math:Indoline", "predicate": "proves", "object": "indoline is an aromatic heterocyclic organic compound with the chemical formulation c8h9n. it has a "}
{"subject": "math:Isoindoline", "predicate": "proves", "object": "isoindoline is a heterocyclic organic compound with the molecular formula c8h9n. the parent compound"}
{"subject": "math:Oxindole", "predicate": "proves", "object": "oxindole (2-indolone) is an aromatic heterocyclic organic compound with the formula c6h4chc(o)nh. it"}
{"subject": "math:Robbins_pentagon", "predicate": "proves", "object": "in geometry, a robbins pentagon is a cyclic pentagon whose side lengths and area are all rational nu"}
{"subject": "math:Robert_Tijdeman", "predicate": "proves", "object": "robert tijdeman (born 30 july 1943 in oostzaan, north holland) is a dutch mathematician. specializin"}
{"subject": "math:Ferrari_312B", "predicate": "proves", "object": "the ferrari 312b is a formula one racing car designed and built by scuderia ferrari. it was the succ"}
{"subject": "math:Frances_Kirwan", "predicate": "proves", "object": "dame frances clare kirwan,  (born 21 august 1959) is a british mathematician, currently savilian pro"}
{"subject": "math:Sharon_Brown_(Miss_USA)", "predicate": "proves", "object": "sharon rene brown (born september 1, 1943) is an american actress and beauty pageant titleholder who"}
{"subject": "math:Fors_de_Bearn", "predicate": "proves", "object": "the fors de bearn, or fueros of b\u00e9arn, are a series of legal texts (privileges, rulings, judicial se"}
{"subject": "math:Queue_jump", "predicate": "proves", "object": "\"queue jump\" may also refer to cutting in line.\na queue jump is a type of roadway geometry used to p"}
{"subject": "math:BAR_003", "predicate": "proves", "object": "the bar 003 was the car with which the british american racing team competed in the  formula one sea"}
{"subject": "math:Gofer_(programming_language)", "predicate": "proves", "object": "gofer (good for equational reasoning) is an implementation of the programming language haskell inten"}
{"subject": "math:FC-75", "predicate": "proves", "object": "fc-75 is a fluorocarbon derivative of tetrahydrofuran with the chemical formula c8f16o. it is practi"}
{"subject": "math:310_(disambiguation)", "predicate": "proves", "object": "310 may refer to:\n\n310 (number)\n310th (disambiguation)\nthe year 310 ad\nthe year 310 bc\nairbus a310, "}
{"subject": "math:Benetton_B201", "predicate": "proves", "object": "the benetton b201 was the car with which the benetton team competed in the 2001 formula one world ch"}
{"subject": "math:Hermite_normal_form", "predicate": "proves", "object": "in linear algebra, the hermite normal form is an analogue of reduced echelon form for matrices over "}
{"subject": "math:Cookie_diet", "predicate": "proves", "object": "a cookie diet is a calorie restricted fad diet designed to produce weight loss, based on meal replac"}
{"subject": "math:Tupper's_self-referential_formula", "predicate": "proves", "object": "tupper's self-referential formula is a formula that visually represents itself when graphed at a spe"}
{"subject": "math:Hafner\u2013Sarnak\u2013McCurley_constant", "predicate": "proves", "object": "the hafner\u2013sarnak\u2013mccurley constant is a mathematical constant representing the probability that the"}
{"subject": "math:Si_363", "predicate": "proves", "object": "si 363 is a bifunctional organosilane chemical used in the reinforcement of rubber articles, especia"}
{"subject": "math:Jan_Charouz", "predicate": "proves", "object": "jan charouz (born 17 july 1987) is a czech motor racing driver. he won the 2009 le mans series seaso"}
{"subject": "math:Jaguar_R2", "predicate": "proves", "object": "the jaguar r2 was the car with which the jaguar team competed in the  formula one season.  it was dr"}
{"subject": "math:F310", "predicate": "proves", "object": "f310 or f.310 may refer to:\n\n ferrari f310, a 1996 italian formula one racing car\n farman f.310, a 1"}
{"subject": "math:Candex", "predicate": "proves", "object": "candex is a dietary supplement manufactured by pure essence laboratories. it is marketed as an enzym"}
{"subject": "math:Mark_Smith_(American_racing_driver)", "predicate": "proves", "object": "mark smith (born april 10, 1967) is a former american racing driver who competed in the cart indycar"}
{"subject": "math:Bismuth_subgallate", "predicate": "proves", "object": "bismuth subgallate, with a chemical formula c7h5bio6, is commonly used to treat malodor by deodorizi"}
{"subject": "math:C7H8N4O2", "predicate": "proves", "object": "{{displaytitle:c7h8n4o2}}\nthe molecular formula c7h8n4o2 (molar mass: 180.16 g/mol) may refer to:\n\n "}
{"subject": "math:Multi-compartment_model", "predicate": "proves", "object": "a multi-compartment model is a type of mathematical model used for describing the way materials or e"}
{"subject": "math:Zoeppritz_equations", "predicate": "proves", "object": "in geophysics and reflection seismology, the zoeppritz equations are a set of equations that describ"}
{"subject": "math:Routhierite", "predicate": "proves", "object": "routhierite is a rare thallium sulfosalt mineral with formula .\n\nit was first described in 1974 for "}
{"subject": "math:Toyota_TF107", "predicate": "proves", "object": "the toyota tf107 is the car with which the toyota team competed in the  formula one season. it was r"}
{"subject": "math:BMW_Sauber_F1.07", "predicate": "proves", "object": "the bmw sauber f1.07 is a formula one single-seater racing car built by bmw sauber for the 2007 form"}
{"subject": "math:Cellulose_acetate_phthalate", "predicate": "proves", "object": "cellulose acetate phthalate (cap), also known as cellacefate (inn) and cellulosi acetas phthalas, is"}
{"subject": "math:1993_International_Formula_3000_Championship", "predicate": "proves", "object": "the 1993 fia formula 3000 international championship was a motor racing series for formula 3000 cars"}
{"subject": "math:Takuya_Kurosawa", "predicate": "proves", "object": "is a japanese race car driver.\n\nkurosawa raced in all-japan formula three from 1988 to 1989, japanes"}
{"subject": "math:1994_International_Formula_3000_Championship", "predicate": "proves", "object": "the 1994 formula 3000 international championship was the tenth season of formula 3000 in europe. jea"}
{"subject": "math:Jo\u00ebl_Camathias", "predicate": "proves", "object": "jo\u00ebl camathias (born 9 february 1981) is a swiss race car driver born in lugano. in 2001 he raced in"}
{"subject": "math:Flexible_polyhedron", "predicate": "proves", "object": "in geometry, a flexible polyhedron is a polyhedral surface without any boundary edges, whose shape c"}
{"subject": "math:Robert_Connelly", "predicate": "proves", "object": "robert connelly (born july 15, 1942) is a mathematician specializing in discrete geometry and rigidi"}
{"subject": "math:Paul_St\u00e4ckel", "predicate": "proves", "object": "paul gustav samuel st\u00e4ckel (20 august 1862, berlin \u2013 12 december 1919, heidelberg) was a german math"}
{"subject": "math:Jaakko_Ojaniemi", "predicate": "proves", "object": "jaakko ojaniemi (born 28 august 1980, in per\u00e4sein\u00e4joki) is a finnish former decathlete. after winnin"}
{"subject": "math:Chain_sequence", "predicate": "proves", "object": "in the analytic theory of continued fractions, a chain sequence is an infinite sequence {an} of non-"}
{"subject": "math:Hans_Petersson", "predicate": "proves", "object": "hans petersson (24 september 1902 in bentschen \u2013 9 november 1984 in m\u00fcnster) was a german mathematic"}
{"subject": "math:Clubman_(racing_car_class)", "predicate": "proves", "object": "the clubman is a class of prototype front-engined sports racing cars that originated in britain in 1"}
{"subject": "math:Auto_GP", "predicate": "proves", "object": "auto gp, sometimes referred to as the auto gp world series and formerly known as both euro formula 3"}
{"subject": "math:1999_Italian_Formula_3000_Championship", "predicate": "proves", "object": "the 1999 italian formula 3000 championship was contested over 7 rounds. 16 different teams and 27 di"}
{"subject": "math:Concrete_art", "predicate": "proves", "object": "concrete art was an art movement with a strong emphasis on geometrical abstraction. the term was fir"}
{"subject": "math:Umm_al_Binni_lake", "predicate": "proves", "object": "umm al binni lake is a mostly dry lake within the central marshes in maysan governorate in southern "}
{"subject": "math:Hydrogrossular", "predicate": "proves", "object": "hydrogrossular is a calcium aluminium garnet series (formula: ca3al2(sio4)3\u2212x(oh)4x, with hydroxide "}
{"subject": "math:Cahn\u2013Hilliard_equation", "predicate": "proves", "object": "the cahn\u2013hilliard equation (after john w. cahn and john e. hilliard) is an equation of mathematical "}
{"subject": "math:Buckley\u2013Leverett_equation", "predicate": "proves", "object": "in fluid dynamics, the buckley\u2013leverett equation is a conservation equation used to model two-phase "}
{"subject": "math:Third_derivative", "predicate": "proves", "object": "in calculus, a branch of mathematics, the third derivative or third-order derivative is the rate at "}
{"subject": "math:Alfred_Kempe", "predicate": "proves", "object": "sir alfred bray kempe frs (6 july 1849 \u2013 21 april 1922) was a mathematician best known for his work "}
{"subject": "math:Christian_Bakkerud", "predicate": "proves", "object": "christian bakkerud (3 november 1984 \u2013 11 september 2011) was a danish racing driver, who competed in"}
{"subject": "math:Defense-Independent_Component_ERA", "predicate": "proves", "object": "defense-independent component era (dice) is a 21st-century variation on component era, one of an inc"}
{"subject": "math:Viktor_Wagner", "predicate": "proves", "object": "viktor vladimirovich wagner, also vagner () (4 november 1908 \u2013 15 august 1981) was a russian mathema"}
{"subject": "math:Lists_of_physics_equations", "predicate": "proves", "object": "in physics, there are equations in every field to relate physical quantities to each other and perfo"}
{"subject": "math:Luiz_Garcia_Jr.", "predicate": "proves", "object": "luiz garcia jr. (born may 4, 1971) is a brazilian race car driver born in brasilia. he began his rac"}
{"subject": "math:5-simplex", "predicate": "proves", "object": "in five-dimensional geometry, a 5-simplex is a self-dual regular 5-polytope. it has six vertices, 15"}
{"subject": "math:Le_Thermoz\u00e9ro", "predicate": "proves", "object": "le thermoz\u00e9ro is an abandoned comics project at one point considered for herg\u00e9's the adventures of t"}
{"subject": "math:Tyrrell_010", "predicate": "proves", "object": "the tyrrell 010 was a formula one racing car that was designed by maurice philippe for tyrrell racin"}
{"subject": "math:Arrows_A3", "predicate": "proves", "object": "the arrows a3 was a formula one car which the arrows team used to compete in the 1980 and 1981 formu"}
{"subject": "math:Phenyl_salicylate", "predicate": "proves", "object": "phenyl salicylate, or salol, is the organic compound with the formula c6h5o2c6h4oh.  it is a white s"}
{"subject": "math:Dvoretzky's_theorem", "predicate": "proves", "object": "in mathematics, dvoretzky's theorem is an important structural theorem about normed vector spaces pr"}
{"subject": "math:Flat_ride_cymbal", "predicate": "proves", "object": "a flat ride cymbal or flat top ride  (or often just flat ride) is a ride cymbal without a bell, orig"}
{"subject": "math:Young\u2013Laplace_equation", "predicate": "proves", "object": "in physics, the young\u2013laplace equation () is an algebraic equation that describes the capillary pres"}
{"subject": "math:Joe_Saward", "predicate": "proves", "object": "jonathan mark christopher \"joe\" saward (born 14 july 1961 in london) is a british formula one journa"}
{"subject": "math:ESAIM:_Control,_Optimisation_and_Calculus_of_Varia", "predicate": "proves", "object": "esaim: control, optimisation and calculus of variations is a scientific journal in the field of appl"}
{"subject": "math:Red_Bull_RB3", "predicate": "proves", "object": "the red bull racing rb3 is a formula one racing car produced by red bull racing for the 2007 season."}
{"subject": "math:Gelfand\u2013Mazur_theorem", "predicate": "proves", "object": "in operator theory, the gelfand\u2013mazur theorem is a theorem named after israel gelfand and stanis\u0142aw "}
{"subject": "math:Cis", "predicate": "proves", "object": "cis or cis- may refer to:\n\nplaces \n cis, trentino, in italy\n in poland:\n cis, \u015bwi\u0119tokrzyskie voivode"}
{"subject": "math:Channel-state_duality", "predicate": "proves", "object": "in quantum information theory, the channel-state duality refers to the correspondence between quantu"}
{"subject": "math:Advances_in_Applied_Clifford_Algebras", "predicate": "proves", "object": "advances in applied clifford algebras is a peer-reviewed scientific journal that publishes original "}
{"subject": "math:Shockproof", "predicate": "proves", "object": "shockproof is a 1949 american crime film noir directed by douglas sirk and starring patricia knight "}
{"subject": "math:Axis\u2013angle_representation", "predicate": "proves", "object": "in mathematics, the axis\u2013angle representation parameterizes a rotation in a three-dimensional euclid"}
{"subject": "math:Two-dimensional_singular-value_decomposition", "predicate": "proves", "object": "in linear algebra, two-dimensional singular-value decomposition (2dsvd) computes the low-rank approx"}
{"subject": "math:Ground_effect_(cars)", "predicate": "proves", "object": "in car design, ground effect is a series of effects which have been exploited in automotive aerodyna"}
{"subject": "math:Lotus_100T", "predicate": "proves", "object": "the lotus 100t is a formula one car designed by g\u00e9rard ducarouge and martin ogilvie for team lotus, "}
{"subject": "math:Proof_sketch_for_G\u00f6del's_first_incompleteness_theo", "predicate": "proves", "object": "this article gives a sketch of a proof of g\u00f6del's first incompleteness theorem. this theorem applies"}
{"subject": "math:Milman\u2013Pettis_theorem", "predicate": "proves", "object": "in mathematics, the milman\u2013pettis theorem states that every uniformly convex banach space is reflexi"}
{"subject": "math:Mathematical_descriptions_of_the_electromagnetic_f", "predicate": "proves", "object": "there are various mathematical descriptions of the electromagnetic field that are used in the study "}
{"subject": "math:Albert_algebra", "predicate": "proves", "object": "in mathematics, an albert algebra is a 27-dimensional exceptional jordan algebra. they are named aft"}
{"subject": "math:Tolman\u2013Oppenheimer\u2013Volkoff_equation", "predicate": "proves", "object": "in astrophysics, the tolman\u2013oppenheimer\u2013volkoff (tov) equation constrains the structure of a spheric"}
{"subject": "math:Hyperbolization_theorem", "predicate": "proves", "object": "in geometry, thurston's geometrization theorem or hyperbolization theorem  implies that closed atoro"}
{"subject": "math:Odd_number_theorem", "predicate": "proves", "object": "the odd number theorem is a theorem in strong gravitational lensing which comes directly from differ"}
{"subject": "math:Alex_Kendrick", "predicate": "proves", "object": "alexander kendrick (born june 11, 1970) is an american pastor, film writer, producer, director and a"}
{"subject": "math:Edward_Larrabee_Barnes", "predicate": "proves", "object": "edward larrabee barnes (april 22, 1915 \u2013 september 22, 2004) was an american architect. his work was"}
{"subject": "math:Propionic_anhydride", "predicate": "proves", "object": "propionic anhydride is an organic compound with the formula (ch3ch2co)2o. this simple acid anhydride"}
{"subject": "math:Tyrrell_019", "predicate": "proves", "object": "the tyrrell 019 was a 1990 formula one racing car, designed by a team led by harvey postlethwaite, a"}
{"subject": "math:Maurice_Herlihy", "predicate": "proves", "object": "maurice peter herlihy (born 4 january 1954) is a computer scientist active in the field of multiproc"}
{"subject": "math:Jacques_Dixmier", "predicate": "proves", "object": "jacques dixmier (born 24 may 1924) is a french mathematician. he worked on operator algebras, especi"}
{"subject": "math:Fran\u00e7ois_Bruhat", "predicate": "proves", "object": "fran\u00e7ois georges ren\u00e9 bruhat (; 8 april 1929 \u2013 17 july 2007) was a french mathematician who worked o"}
{"subject": "math:Bernard_Malgrange", "predicate": "proves", "object": "bernard malgrange (born 6 july 1928) is a french mathematician who works on differential equations a"}
{"subject": "math:Squaring", "predicate": "proves", "object": "squaring may refer to:\n\nsquare (algebra), the result of multiplying something by itself\nquadrature ("}
{"subject": "math:Color_of_Success", "predicate": "proves", "object": "color of success is the 1985 debut album by the funk/r&b singer, morris day.\n\nbackground\nreleased a "}
{"subject": "math:Formula_One:_Built_to_Win", "predicate": "proves", "object": "formula one: built to win is a 1990 racing video game for the nintendo entertainment system develope"}
{"subject": "math:Tert-Butylamine", "predicate": "proves", "object": "tert-butylamine''' is an organic chemical compound with the formula (ch3)3cnh2.  it is a colorless l"}
{"subject": "math:Sec-Butylamine", "predicate": "proves", "object": "sec-butylamine is an organic chemical compound (specifically, an amine) with the formula ch3ch2ch(nh"}
{"subject": "math:Isobutylamine", "predicate": "proves", "object": "isobutylamine is an organic chemical compound (specifically, an amine) with the formula (ch3)2chch2n"}
{"subject": "math:Lithium_superoxide", "predicate": "proves", "object": "lithium superoxide is an unstable inorganic salt with formula lio2.  a radical compound, it can be p"}
{"subject": "math:Brauer's_three_main_theorems", "predicate": "proves", "object": "brauer's main theorems are three theorems in representation theory of finite groups linking the bloc"}
{"subject": "math:Braid_algebra", "predicate": "proves", "object": "a braid algebra can be:\na gerstenhaber algebra (also called an antibracket algebra).\nan algebra rela"}
{"subject": "math:Dynaflex_(RCA)", "predicate": "proves", "object": "dynaflex is a trademark for a thin, lightweight vinyl lp phonograph record introduced by rca records"}
{"subject": "math:Mass_line", "predicate": "proves", "object": "the mass line is the political, organizational and leadership method developed by mao zedong and the"}
{"subject": "math:DSS_(NMR_standard)", "predicate": "proves", "object": "sodium trimethylsilylpropanesulfonate (dss) is the organosilicon compound with the formula (ch3)3sic"}
{"subject": "math:Operator_system", "predicate": "proves", "object": "given a unital c*-algebra , a *-closed subspace s containing 1 is called an operator system. one can"}
{"subject": "math:John_Innes_compost", "predicate": "proves", "object": "john innes compost is a set of four soil-based formulae for growing media, developed at the former j"}
{"subject": "math:Bundle_metric", "predicate": "proves", "object": "in differential geometry, the notion of a metric tensor can be extended to an arbitrary vector bundl"}
{"subject": "math:Thorold_Gosset", "predicate": "proves", "object": "john herbert de paz thorold gosset (16 october 1869 \u2013 december 1962) was an english lawyer and an am"}
{"subject": "math:Deuterated_DMSO", "predicate": "proves", "object": "deuterated dmso, also known as dimethyl sulfoxide-d6, is an isotopologue of dimethyl sulfoxide (dmso"}
{"subject": "math:Waterman_polyhedron", "predicate": "proves", "object": "in geometry, the waterman polyhedra are a family of polyhedra discovered around 1990 by the mathemat"}
{"subject": "math:Calcium_hexaboride", "predicate": "proves", "object": "calcium hexaboride (sometimes calcium boride) is a compound of calcium and boron with the chemical f"}
{"subject": "math:Honeycomb_structure", "predicate": "proves", "object": "honeycomb structures are natural or man-made structures that have the geometry of a honeycomb to all"}
{"subject": "math:Tyrosol", "predicate": "proves", "object": "tyrosol is an organic compound with the formula . classified as a phenylethanoid, i.e. a derivative "}
{"subject": "math:Fatou's_theorem", "predicate": "proves", "object": "in mathematics, specifically in complex analysis, fatou's theorem, named after pierre fatou, is a st"}
{"subject": "math:Marcus_Ericsson", "predicate": "proves", "object": "marcus thorbj\u00f6rn ericsson (; born 2 september 1990) is a swedish professional racing driver. he comp"}
{"subject": "math:Abel\u2013Jacobi_map", "predicate": "proves", "object": "in mathematics, the abel\u2013jacobi map is a construction of algebraic geometry which relates an algebra"}
{"subject": "math:Cyclopropanone", "predicate": "proves", "object": "cyclopropanone is an organic compound with molecular formula (ch2)2co consisting of a cyclopropane c"}
{"subject": "math:Reeb_vector_field", "predicate": "proves", "object": "in mathematics, the reeb vector field, named after the french mathematician georges reeb, is a notio"}
{"subject": "math:Formula_C_(SCCA)", "predicate": "proves", "object": "formula c was an open wheeled scca racing class originating in the mid-1960s, derived from the faile"}
{"subject": "math:Generalised_circle", "predicate": "proves", "object": "in geometry, a generalized circle, sometimes called a cline or circline, is a straight line or a cir"}
{"subject": "math:List_of_roguelikes", "predicate": "proves", "object": "this is a selected list of roguelike video games. roguelike games are those that incorporate element"}
{"subject": "math:Goro_Azumaya", "predicate": "proves", "object": "was a japanese mathematician who introduced the notion of azumaya algebra in 1951.  his advisor was "}
{"subject": "math:Beaufort_(surname)", "predicate": "proves", "object": "beaufort is the name of a noble family of 14th and 15th-century england, descended from john of gaun"}
{"subject": "math:750_Motor_Club", "predicate": "proves", "object": "750 motor club is a motor racing club in the uk. it was founded in 1939 to promote the sporting use "}
{"subject": "math:Trimethylenemethane", "predicate": "proves", "object": "trimethylenemethane (often abbreviated tmm) is a chemical compound with formula .  it is a neutral f"}
{"subject": "math:Principles_of_Electronics", "predicate": "proves", "object": "principles of electronics is a 2002 book by colin simpson designed to accompany the electronics tech"}
{"subject": "math:William_L._Rowe", "predicate": "proves", "object": "william leonard rowe ( july 26, 1931 \u2013 august 22, 2015) was a professor of philosophy at purdue univ"}
{"subject": "math:Vox_(vodka)", "predicate": "proves", "object": "vox vodka is an 80 proof grain vodka made in the netherlands by beam suntory.  liquor ratings aggreg"}
{"subject": "math:Fagnano's_problem", "predicate": "proves", "object": "in geometry, fagnano's problem is an optimization problem that was first stated by giovanni fagnano "}
{"subject": "math:Petrograd_formula", "predicate": "proves", "object": "the petrograd formula was a  peace formula constructed by the bolshevik party after their revolution"}
{"subject": "math:C4H8", "predicate": "proves", "object": "{{displaytitle:c4h8}}\nthe molecular formula c4h8 (molar mass: 56.11 g/mol) may refer to:\n\nbutenes (b"}
{"subject": "math:Residue_field", "predicate": "proves", "object": "in mathematics, the residue field is a basic construction in commutative algebra. if r is a commutat"}
{"subject": "math:Keep_It_Natural", "predicate": "proves", "object": "keep it natural is the debut studio album released by american pop boyband natural, released on sept"}
{"subject": "math:Campos_Racing", "predicate": "proves", "object": "campos racing is a spanish motor racing team based in valencia, founded by former formula one driver"}
{"subject": "math:HRT_Formula_1_Team", "predicate": "proves", "object": "hrt formula 1 team, formerly known as campos meta 1 and hispania racing, was a spanish formula one t"}
{"subject": "math:Janko_group_J1", "predicate": "proves", "object": "{{displaytitle:janko group j1}}\n\nin the area of modern algebra known as group theory, the janko grou"}
{"subject": "math:Janko_group_J3", "predicate": "proves", "object": "{{displaytitle:janko group j3}}\n\nin the area of modern algebra known as group theory, the janko grou"}
{"subject": "math:Janko_group_J4", "predicate": "proves", "object": "{{displaytitle:janko group j4}}\n\nin the area of modern algebra known as group theory, the janko grou"}
{"subject": "math:Janko_group_J2", "predicate": "proves", "object": "{{displaytitle:janko group j2}}\n\nin the area of modern algebra known as group theory, the janko grou"}
{"subject": "math:Karamata's_inequality", "predicate": "proves", "object": "in mathematics, karamata's inequality, named after jovan karamata, also known as the majorization in"}
{"subject": "math:Mohawk_Valley_formula", "predicate": "proves", "object": "the mohawk valley formula is a plan for strikebreaking purportedly written by the president of the r"}
{"subject": "math:Milan_Kolibiar", "predicate": "proves", "object": "milan kolibiar (born 14 february 1922 in detvianska huta, died 9 july 1994 in bratislava) was a slov"}
{"subject": "math:ClO3", "predicate": "proves", "object": "clo3 may refer to:\n\nthe chlorate anion, clo3-\nmonochlorine trioxide, a hypothetical radical akin to "}
{"subject": "math:Subgroups_of_cyclic_groups", "predicate": "proves", "object": "in abstract algebra, every subgroup of a cyclic group is cyclic. moreover, for a finite cyclic group"}
{"subject": "math:Medical_calculator", "predicate": "proves", "object": "a medical calculator is a type of medical computer software, whose purpose is to allow easy calculat"}
{"subject": "math:Methylcyclohexane", "predicate": "proves", "object": "methylcyclohexane (cyclohexylmethane) is an organic compound with the molecular formula is ch3c6h11."}
{"subject": "math:Methylenecyclohexane", "predicate": "proves", "object": "methylenecyclohexane (iupac name: methylidenecyclohexane) is an organic compound with the molecular "}
{"subject": "math:Hitech_Grand_Prix", "predicate": "proves", "object": "hitech pulse-eight (formerly known as hitech grand prix and hitech racing) is a british motor racing"}
{"subject": "math:Levi's_lemma", "predicate": "proves", "object": "in theoretical computer science and mathematics, especially in the area of combinatorics on words, t"}
{"subject": "math:Trace_theory", "predicate": "proves", "object": "in mathematics and computer science, trace theory aims to provide a concrete mathematical underpinni"}
{"subject": "math:Palladium(II)_bis(acetylacetonate)", "predicate": "proves", "object": "palladium(ii) bis(acetylacetonate) is a compound with formula pd(c5h7o2)2. this yellow solid is the "}
{"subject": "math:Public_International_Law_&_Policy_Group", "predicate": "proves", "object": "the public international law & policy group (pilpg) is a non-profit organization, operating as a glo"}
{"subject": "math:Face_diagonal", "predicate": "proves", "object": "in geometry, a face diagonal of a polyhedron is a diagonal on one of the faces, in contrast to a spa"}
{"subject": "math:History_of_navigation", "predicate": "proves", "object": "the history of navigation, or the history of seafaring, is the art of directing vessels upon the ope"}
{"subject": "math:Helium_hydride_ion", "predicate": "proves", "object": "the helium hydride ion or hydridohelium(1+) ion or helonium is a cation (positively charged ion) wit"}
{"subject": "math:Springer_correspondence", "predicate": "proves", "object": "in mathematics, the springer representations are certain representations of the weyl group w associa"}
{"subject": "math:Erd\u0151s\u2013Stone_theorem", "predicate": "proves", "object": "in extremal graph theory, the erd\u0151s\u2013stone theorem is an asymptotic result generalising tur\u00e1n's theor"}
{"subject": "math:T._A._Springer", "predicate": "proves", "object": "tonny albert springer (13 february 1926 \u2013 7 december 2011) was a mathematician at utrecht university"}
{"subject": "math:Para-Cresidine", "predicate": "proves", "object": "para-cresidine is an organic compound with the formula ch3oc6h3(ch3)nh2.  it is a white solid that i"}
{"subject": "math:Lithium_triethylborohydride", "predicate": "proves", "object": "lithium triethylborohydride is the organoboron compound with the formula liet3bh. commonly referred "}
{"subject": "math:Lever_rule", "predicate": "proves", "object": "in chemistry, the lever rule is a formula used to determine the mole fraction (xi) or the mass fract"}
{"subject": "math:Mackinawite", "predicate": "proves", "object": "mackinawite is an iron nickel sulfide mineral with the chemical formula  (where x = 0 to 0.11). the "}
{"subject": "math:Karnaugh_map", "predicate": "proves", "object": "the karnaugh map (km or k-map) is a method of simplifying boolean algebra expressions. maurice karna"}
{"subject": "math:Gosset\u2013Elte_figures", "predicate": "proves", "object": "in geometry, the gosset\u2013elte figures, named by coxeter after thorold gosset and e. l. elte, are a gr"}
{"subject": "math:Keggin_structure", "predicate": "proves", "object": "the keggin structure is the best known structural form for heteropoly acids. it is the structural fo"}
{"subject": "math:Dynkin_index", "predicate": "proves", "object": "in mathematics, the dynkin index  of a finite-dimensional highest-weight representation of a compact"}
{"subject": "math:Lie's_third_theorem", "predicate": "proves", "object": "in the mathematics of lie theory, lie's third theorem states that every finite-dimensional lie algeb"}
{"subject": "math:Neopentyllithium", "predicate": "proves", "object": "neopentyllithium is an organolithium compound with the chemical formula c5h11li. commercially availa"}
{"subject": "math:Cagoule", "predicate": "proves", "object": "a cagoule (, also spelled cagoul, kagoule or kagool), is the british english term for a lightweight "}
{"subject": "math:1951_Scottish_Grand_Prix", "predicate": "proves", "object": "the 1951 scottish grand prix was a 50 lap  motor race held on 21 july 1951 at winfield airfield in b"}
{"subject": "math:Rupert_Svendsen-Cook", "predicate": "proves", "object": "rupert jack svendsen-cook (born 17 september 1990 in ipswich) is a british racing driver with norweg"}
{"subject": "math:Scorn_Defeat", "predicate": "proves", "object": "scorn defeat is the first full-length album by the japanese black metal band sigh, released in 1993 "}
{"subject": "math:Why?_(Bronski_Beat_song)", "predicate": "proves", "object": "\"why?\" is a single by british synth-pop band bronski beat and appeared on their 1984 album the age o"}
{"subject": "math:Hans_B._Pacejka", "predicate": "proves", "object": "hans bastiaan pacejka (12 september 1934 \u2013 17 september 2017) was an expert in vehicle system dynami"}
{"subject": "math:Mersenne's_laws", "predicate": "proves", "object": "mersenne's laws are laws describing the frequency of oscillation of a stretched string or monochord,"}
{"subject": "math:Andr\u00e9_Fraysse", "predicate": "proves", "object": "andr\u00e9 fraysse (1902-1984) was a french perfumer.\n\nhe was noted for his work with lanvin. his creatio"}
{"subject": "math:Antoinette_V", "predicate": "proves", "object": "the antoinette v was an early french aircraft, first flown on 20 december 1908.\n\ndesign\nfollowing cl"}
{"subject": "math:Seinosuke_Toda", "predicate": "proves", "object": "is a computer scientist working at the nihon university in tokyo. toda earned his ph.d. from the tok"}
{"subject": "math:Alfa_Romeo_in_Formula_One", "predicate": "proves", "object": "italian motor manufacturer alfa romeo has participated many times in formula one. it currently parti"}
{"subject": "math:Reprimand", "predicate": "proves", "object": "a reprimand is a severe, formal or official reproof.  reprimanding takes in different forms in diffe"}
{"subject": "math:Prodrive_F1", "predicate": "proves", "object": "prodrive f1 team was the name of a proposed formula one team to be run by prodrive. the team was sel"}
{"subject": "math:Ammonia_(disambiguation)", "predicate": "proves", "object": "ammonia is a chemical compound with the formula nh3.\n ammonia (data page)\n\nammonia may also refer to"}
{"subject": "math:Lists_of_unsolved_problems", "predicate": "proves", "object": "list of unsolved problems may refer to several notable conjectures or open problems in various acade"}
{"subject": "math:Axiomatic_(album)", "predicate": "proves", "object": "axiomatic is the third studio album by australian rock band taxiride, released in september 2005. th"}
{"subject": "math:Fermat_Prize", "predicate": "proves", "object": "the fermat prize of mathematical research biennially rewards research works in fields where the cont"}
{"subject": "math:British_Museum_leather_dressing", "predicate": "proves", "object": "british museum leather dressing has been used by many conservators since its publication to protect "}
{"subject": "math:James_H._Davenport", "predicate": "proves", "object": "james harold davenport (born 26 september 1953) is a british computer scientist who works in compute"}
{"subject": "math:FETI", "predicate": "proves", "object": "in mathematics, in particular numerical analysis, the feti method (finite element tearing and interc"}
{"subject": "math:Parataxis_(disambiguation)", "predicate": "proves", "object": "parataxis is a literary technique, in writing or speaking, that favors short, simple phrases, often "}
{"subject": "math:6_Metre", "predicate": "proves", "object": "the international six metre class is a class of classic racing yachts. sixes are a construction clas"}
{"subject": "math:Diimide", "predicate": "proves", "object": "diimide, also called diazene or diimine, is a compound having the formula hn=nh. it exists as two ge"}
{"subject": "math:Boron_suboxide", "predicate": "proves", "object": "boron suboxide (chemical formula b6o) is a solid compound with a structure built of eight icosahedra"}
{"subject": "math:Tetraethyl_orthosilicate", "predicate": "proves", "object": "tetraethyl orthosilicate, formally named tetraethoxysilane (teos), ethyl silicate is the organic che"}
{"subject": "math:Orientation_entanglement", "predicate": "proves", "object": "in mathematics and physics, the notion of orientation entanglement is sometimes used to develop intu"}
{"subject": "math:Schwarz_integral_formula", "predicate": "proves", "object": "in complex analysis, a branch of mathematics, the schwarz integral formula, named after hermann schw"}
{"subject": "math:Hedgeley_Dene_Gardens", "predicate": "proves", "object": "{\n  \"type\": \"featurecollection\",\n  \"features\": [\n    {\n      \"type\": \"feature\",\n      \"properties\": "}
{"subject": "math:Dibromomethane", "predicate": "proves", "object": "dibromomethane or methylene bromide, or methylene dibromide is a halomethane with the formula ch2br2"}
{"subject": "math:WS2", "predicate": "proves", "object": "ws2 can refer to:\n\n ws2, a candidate phylum of bacteria from the wurtsmith contaminated aquifer\n waa"}
{"subject": "math:Orthonormal_function_system", "predicate": "proves", "object": "an orthonormal function system (ons) is an orthonormal basis in a vector space of functions.\n\nrefere"}
{"subject": "math:Death_Proof_(soundtrack)", "predicate": "proves", "object": "death proof is the soundtrack to death proof, quentin tarantino's segment of 2007 film grindhouse. i"}
{"subject": "math:Chlorofluoromethane", "predicate": "proves", "object": "chlorofluoromethane or freon 31 is the hydrochlorofluorocarbon (hcfc) with the formula ch2clf. it is"}
{"subject": "math:Simulation_software", "predicate": "proves", "object": "simulation software is based on the process of modeling a real phenomenon with a set of mathematical"}
{"subject": "math:LeMond_Racing_Cycles", "predicate": "proves", "object": "lemond racing cycles is a bicycle company founded by greg lemond, the only american winner of the to"}
{"subject": "math:List_of_NBA_teams_by_single_season_win_percentage", "predicate": "proves", "object": "this is a list of the all-time best regular season winning percentages in the nba.\n\nabove .756\n\nsee "}
{"subject": "math:750_Formula", "predicate": "proves", "object": "750 formula is a british racing formula for a two-seater sports/racers, regulated by the 750 motor c"}
{"subject": "math:Tetramethyl_orthosilicate", "predicate": "proves", "object": "tetramethyl orthosilicate (tmos) is the chemical compound with the formula si(och3)4.  this molecule"}
{"subject": "math:Hans_E._J._Neugebauer", "predicate": "proves", "object": "hans e. j. neugebauer was a german-born physicist and imaging scientist  who later lived in the unit"}
{"subject": "math:Walter_Hayes", "predicate": "proves", "object": "walter leopold arthur hayes  (12 april 1924 \u2013 26 december 2000) was an english journalist, and later"}
{"subject": "math:Fluoroiodomethane", "predicate": "proves", "object": "fluoroiodomethane is the halomethane with the formula fch2i.  also classified as a fluoroiodocarbon "}
{"subject": "math:Conditional_statement", "predicate": "proves", "object": "a conditional statement may refer to:\n\n a conditional formula in logic and mathematics, which can be"}
{"subject": "math:John_Scholz", "predicate": "proves", "object": "dr. john t. scholz is the francis eppes distinguished professor of political science and a courtesy "}
{"subject": "math:Euclidean_shortest_path", "predicate": "proves", "object": "the euclidean shortest path problem is a problem in computational geometry: given a set of polyhedra"}
{"subject": "math:EF-4", "predicate": "proves", "object": "elongation factor 4 (ef-4) is an elongation factor that is thought to back-translocate on the riboso"}
{"subject": "math:Mart\u00edn_de_Azpilcueta", "predicate": "proves", "object": "mart\u00edn de azpilcueta (azpilkueta in basque) (13 december 1491 \u2013 1 june 1586), or doctor navarrus, wa"}
{"subject": "math:Grand_Prix_Manager", "predicate": "proves", "object": "grand prix manager (gpm) is a formula 1 management game released in december 1995 by microprose. it "}
{"subject": "math:Baldwin\u2013Lomax_model", "predicate": "proves", "object": "the baldwin\u2013lomax model is a 0-equation turbulence model used in computational fluid dynamics analys"}
{"subject": "math:Cebeci\u2013Smith_model", "predicate": "proves", "object": "the cebeci\u2013smith model, developed by tuncer cebeci and apollo m. o. smith in 1967, is a 0-equation e"}
{"subject": "math:Plumbane", "predicate": "proves", "object": "plumbane is an inorganic chemical compound with the chemical formula pbh4. it is a colorless gas. it"}
{"subject": "math:Rhenium_pentachloride", "predicate": "proves", "object": "rhenium pentachloride is an inorganic compound of chlorine and rhenium.  the compound has the formul"}
{"subject": "math:Tempered_representation", "predicate": "proves", "object": "in mathematics, a tempered representation of a linear semisimple lie group is a representation that "}
{"subject": "math:Lewin's_equation", "predicate": "proves", "object": "lewin's equation, b\u00a0=\u00a0f(p,\u00a0e), is a heuristic formula proposed by psychologist kurt lewin as an expl"}
{"subject": "math:Ruthenocene", "predicate": "proves", "object": "ruthenocene is an organoruthenium compound with the formula (c5h5)2ru. this pale yellow, volatile so"}
{"subject": "math:Homomorphic_secret_sharing", "predicate": "proves", "object": "in cryptography, homomorphic secret sharing is a type of secret sharing algorithm in which the secre"}
{"subject": "math:Hoh_(disambiguation)", "predicate": "proves", "object": "hoh or hoh most commonly refers to:\n\n hoh, a variation of the chemical formula for water\n hoh people"}
{"subject": "math:Strong_partition_cardinal", "predicate": "proves", "object": "in zermelo\u2013fraenkel set theory without the axiom of choice a strong partition cardinal is an uncount"}
{"subject": "math:Minimal_volume", "predicate": "proves", "object": "in mathematics, in particular in differential geometry, the minimal volume is a number that describe"}
{"subject": "math:Realizability", "predicate": "proves", "object": "in mathematical logic, realizability is a collection of methods in proof theory used to study constr"}
{"subject": "math:CH2", "predicate": "proves", "object": "ch2 could refer to:\n\nch2, a postcode district in the ch postcode area\ncouncil house 2, an office bui"}
{"subject": "math:Psychomyiidae", "predicate": "proves", "object": "the psychomyiidae are a family of tube-making caddisflies. members of this family are typically very"}
{"subject": "math:Middletown_High_School_(California)", "predicate": "proves", "object": "middletown high school (mhs) is a small public high school located in middletown, california, united"}
{"subject": "math:Discrete_exterior_calculus", "predicate": "proves", "object": "in mathematics, the discrete exterior calculus (dec) is the extension of the exterior calculus to di"}
{"subject": "math:Finite_element_exterior_calculus", "predicate": "proves", "object": "finite element exterior calculus (feec) is a mathematical framework that formulates finite element m"}
{"subject": "math:Martin_measure", "predicate": "proves", "object": "in descriptive set theory, the martin measure is a filter on the set of turing degrees of sets of na"}
{"subject": "math:Hypertranscendental_number", "predicate": "proves", "object": "a complex number is said to be hypertranscendental if it is not the value at an algebraic point of a"}
{"subject": "math:Hypertranscendental_function", "predicate": "proves", "object": "a hypertranscendental function or transcendentally transcendental function is a transcendental analy"}
{"subject": "math:Quaternion-K\u00e4hler_symmetric_space", "predicate": "proves", "object": "in differential geometry, a quaternion-k\u00e4hler symmetric space or wolf space is a quaternion-k\u00e4hler m"}
{"subject": "math:Durene", "predicate": "proves", "object": "durene, or 1,2,4,5-tetramethylbenzene, is an organic compound with the formula c6h2(ch3)4. it is a c"}
{"subject": "math:Epsilon_calculus", "predicate": "proves", "object": "in logic, hilbert's epsilon calculus is an extension of a formal language by the epsilon operator, w"}
{"subject": "math:Vinyl_fluoride", "predicate": "proves", "object": "vinyl fluoride is an organic halide with the chemical formula c2h3f. it is a colorless gas with a fa"}
{"subject": "math:Topological_derivative", "predicate": "proves", "object": "the topological derivative is, conceptually, a derivative of a shape functional with respect to infi"}
{"subject": "math:Danskin's_theorem", "predicate": "proves", "object": "in convex analysis, danskin's theorem is a theorem which provides information about the derivatives "}
{"subject": "math:Formula_One_engines", "predicate": "proves", "object": "this article gives an outline of formula one engines, also called formula one power units since the "}
{"subject": "math:Trigonometric_moment_problem", "predicate": "proves", "object": "in mathematics, the trigonometric moment problem is formulated as follows: given a finite sequence {"}
{"subject": "math:Potassium_ferrioxalate", "predicate": "proves", "object": "potassium ferrioxalate, also called potassium trisoxalatoferrate or potassium tris(oxalato)ferrate(i"}
{"subject": "math:Isothiazolinone", "predicate": "proves", "object": "isothiazolinone (sometimes isothiazolone) is an organic compound with the formula (ch)2sn(h)co.  a w"}
{"subject": "math:Dynamic_simulation", "predicate": "proves", "object": "dynamic simulation (or dynamic system simulation) is the use of a computer program to model the time"}
{"subject": "math:Formula_Hybrid", "predicate": "proves", "object": "formula hybrid is a design and engineering challenge for undergraduate and graduate college and univ"}
{"subject": "math:List_of_Noah's_Arc_characters", "predicate": "proves", "object": "noah's arc, a comedy-drama series, follows the lives of four friends who work to solve their dilemma"}
{"subject": "math:Jarosewichite", "predicate": "proves", "object": "jarosewichite is a rare manganese arsenate mineral with formula: mn2+3mn3+(aso4)(oh)6.  it was first"}
{"subject": "math:Archard_equation", "predicate": "proves", "object": "the archard wear equation is a simple model used to describe sliding wear and is based on the theory"}
{"subject": "math:Apoth\u00e9Cure", "predicate": "proves", "object": "apoth\u00e9cure was a dallas, texas-based compounding pharmacy that specialized in custom compounded form"}
{"subject": "math:Chloroiodomethane", "predicate": "proves", "object": "chloroiodomethane is the halomethane with the formula is .  it is a colorless liquid of use in organ"}
{"subject": "math:Bromoiodomethane", "predicate": "proves", "object": "bromoiodomethane is a halomethane with the formula brch2i.  it is a colorless liquid, although older"}
{"subject": "math:Linear_relation", "predicate": "proves", "object": "in linear algebra, a linear relation, or simply relation, between elements of a vector space or a mo"}
{"subject": "math:Tangent_measure", "predicate": "proves", "object": "in measure theory, tangent measures are used to study the local behavior of radon measures, in much "}
{"subject": "math:Prismatic_uniform_polyhedron", "predicate": "proves", "object": "in geometry, a prismatic uniform polyhedron is a uniform polyhedron with dihedral symmetry. they exi"}
{"subject": "math:Manifold_Destiny_(cookbook)", "predicate": "proves", "object": "manifold destiny is a 1989 cookbook (), its updated 1998 edition () and a 2008 update () on the subj"}
{"subject": "math:Darboux_frame", "predicate": "proves", "object": "in the differential geometry of surfaces, a darboux frame is a natural moving frame constructed on a"}
{"subject": "math:Ministry_of_Foreign_Affairs_(Colombia)", "predicate": "proves", "object": "the ministry of foreign affairs (mre) () also known as the chancellery (), is the cabinet position o"}
{"subject": "math:Ida_R._Hoos", "predicate": "proves", "object": "ida simone russakoff hoos (october 9, 1912 \u2013 april 24, 2007) was an american sociologist best known "}
{"subject": "math:C\u00e9a's_lemma", "predicate": "proves", "object": "c\u00e9a's lemma is a lemma in mathematics. introduced by jean c\u00e9a in his ph.d. dissertation, it is an im"}
{"subject": "math:Polysulfane", "predicate": "proves", "object": "a polysulfane is a chemical compound of formula , where n > 1 (although disulfane () is sometimes ex"}
{"subject": "math:Rocco_Benetton", "predicate": "proves", "object": "rocco benetton (born 29 september 1969) is an italian entrepreneur publicly known for his role as ch"}
{"subject": "math:Horocycle", "predicate": "proves", "object": "in hyperbolic geometry, a horocycle (), sometimes called an oricycle, oricircle, or limit circle, is"}
{"subject": "math:Nec_vi,_nec_clam,_nec_precario", "predicate": "proves", "object": "nec vi, nec clam, nec precario, is a latin legal term meaning 'without force, without secrecy, witho"}
{"subject": "math:Corail_(train)", "predicate": "proves", "object": "corail is the name given to a class of passenger rail cars of the sncf that first entered commercial"}
{"subject": "math:Amalgamation_property", "predicate": "proves", "object": "in the mathematical field of model theory, the amalgamation property is a property of collections of"}
{"subject": "math:Chlorotrifluoroethylene", "predicate": "proves", "object": "chlorotrifluoroethylene (ctfe) is a chlorofluorocarbon with chemical formula cfcl=cf2. it is commonl"}
{"subject": "math:Integro-differential_equation", "predicate": "proves", "object": "in mathematics, an integro-differential equation is an equation that involves both integrals and der"}
{"subject": "math:Rhomboclase", "predicate": "proves", "object": "rhomboclase is an acidic iron sulfate mineral with a formula reported as h5fe3+o2(so4)2\u00b72(h2o) or hf"}
{"subject": "math:Equiprobability", "predicate": "proves", "object": "equiprobability is a property for a collection of events that each have the same probability of occu"}
{"subject": "math:1,3-Dehydroadamantane", "predicate": "proves", "object": "1,3-dehydroadamantane or tetracyclo[3.3.1.13,7.01,3]decane is an organic compound with formula c10h1"}
{"subject": "math:Representation_theory_of_SL2(R)", "predicate": "proves", "object": "{{displaytitle:representation theory of sl2(r)}}\nin mathematics, the main results concerning irreduc"}
{"subject": "math:Obetrol", "predicate": "proves", "object": "obetrol was the brand name of a drug combining several amphetamine salts indicated for the treatment"}
{"subject": "math:SL2(R)", "predicate": "proves", "object": "{{displaytitle:sl2(r)}}\n\nin mathematics, the special linear group sl(2,\u2009r) or sl2(r) is the group of"}
{"subject": "math:Parabolic_induction", "predicate": "proves", "object": "in mathematics, parabolic induction  is a method of constructing representations of a reductive grou"}
{"subject": "math:Piecewise_linear_continuation", "predicate": "proves", "object": "simplicial continuation, or piecewise linear continuation (allgower and georg), is a one-parameter c"}
{"subject": "math:Sum-free_set", "predicate": "proves", "object": "in additive combinatorics and number theory, a subset a of an abelian group g is said to be sum-free"}
{"subject": "math:Weyl\u2013Brauer_matrices", "predicate": "proves", "object": "in mathematics, particularly in the theory of spinors, the weyl\u2013brauer matrices are an explicit real"}
{"subject": "math:James_Parks_(actor)", "predicate": "proves", "object": "james jean parks (born november 16, 1968) is an american actor.\n\nparks was born in ojai, california."}
{"subject": "math:Extouch_triangle", "predicate": "proves", "object": "in euclidean geometry, the extouch triangle of a triangle is formed by joining the points at which t"}
{"subject": "math:Chow's_lemma", "predicate": "proves", "object": "chow's lemma, named after wei-liang chow, is one of the foundational results in algebraic geometry. "}
{"subject": "math:Myrothecium_verrucaria", "predicate": "proves", "object": "myrothecium verrucaria is a species of fungus in the order hypocreales. a plant pathogen, it is comm"}
{"subject": "math:Whewell_equation", "predicate": "proves", "object": "the whewell equation of a plane curve is an equation that relates the tangential angle () with arcle"}
{"subject": "math:Ces\u00e0ro_equation", "predicate": "proves", "object": "in geometry, the ces\u00e0ro equation of a plane curve is an equation relating the curvature () at a poin"}
{"subject": "math:Extra_element_theorem", "predicate": "proves", "object": "the extra element theorem (eet) is an analytic technique developed by r. d. middlebrook for simplify"}
{"subject": "math:Ng\u00f4_B\u1ea3o_Ch\u00e2u", "predicate": "proves", "object": "ng\u00f4 b\u1ea3o ch\u00e2u (, born june 28, 1972) is a vietnamese-french mathematician at the university of chicag"}
{"subject": "math:CSPD_(molecule)", "predicate": "proves", "object": "cspd ([3-(1-chloro-3'-methoxyspiro[adamantane-4,4'-dioxetane]-3'-yl)phenyl] dihydrogen phosphate) is"}
{"subject": "math:Biochemical_systems_theory", "predicate": "proves", "object": "biochemical systems theory is a mathematical modelling framework for biochemical systems, based on o"}
{"subject": "math:Joseph_O'Rourke", "predicate": "proves", "object": "joseph o'rourke may refer to:\n\njoseph cornelius o'rourke (1772\u20131849), russian nobleman and military "}
{"subject": "math:Frictionless_plane", "predicate": "proves", "object": "the frictionless plane is a concept from the writings of galileo galilei. in his 1638 the two new sc"}
{"subject": "math:Schlick's_approximation", "predicate": "proves", "object": "in 3d computer graphics, schlick\u2019s approximation, named after christophe schlick, is a formula for a"}
{"subject": "math:Conway_base_13_function", "predicate": "proves", "object": "the conway base 13 function is a function created by british mathematician john h. conway as a count"}
{"subject": "math:Casus_irreducibilis", "predicate": "proves", "object": "in algebra,  () is one of the cases that may arise in solving polynomials of degree 3 or higher with"}
{"subject": "math:History_of_the_Jews_in_the_Dominican_Republic", "predicate": "proves", "object": "the sephardic jews that were exiled from spain and the mediterranean area in 1492 and 1497, coupled "}
{"subject": "math:Mediterranean_Grand_Prix", "predicate": "proves", "object": "the mediterranean grand prix was a non-championship motor race, held at the autodromo di pergusa, in"}
{"subject": "math:Valencia_Street_Circuit", "predicate": "proves", "object": "the valencia street circuit (, ) was a street circuit in valencia, spain which hosted the formula on"}
{"subject": "math:C18H27NO3", "predicate": "proves", "object": "{{displaytitle:c18h27no3}}\nthe molecular formula c18h27no3 (molar mass : 305.41 g/mol) may refer to "}
{"subject": "math:Counterproof", "predicate": "proves", "object": "in printmaking, a counterproof is a print taken off from another just printed, which, by being passe"}
{"subject": "math:LRG_Racing", "predicate": "proves", "object": "lrg racing was established in 2006 by lawrence r. goldfarb, the ceo of lrg capital group.  the lrg r"}
{"subject": "math:Eric_Brewer_(scientist)", "predicate": "proves", "object": "eric allen brewer is professor emeritus of computer science at the university of california, berkele"}
{"subject": "math:Potassium_hexafluorophosphate", "predicate": "proves", "object": "potassium hexafluorophosphate is the chemical compound with the formula kpf6.  this colourless salt "}
{"subject": "math:Proximity_problems", "predicate": "proves", "object": "proximity problems is a class of problems in computational geometry which involve estimation of dist"}
{"subject": "math:Diethylene_glycol_dinitrate", "predicate": "proves", "object": "diethylene glycol dinitrate (degdn) is an explosive nitrated alcohol ester with the formula c4h8n2o7"}
{"subject": "math:Littelmann_path_model", "predicate": "proves", "object": "in mathematics, the littelmann path model is a combinatorial device due to peter littelmann for comp"}
{"subject": "math:Existentially_closed_model", "predicate": "proves", "object": "in model theory, a branch of mathematical logic, the notion of an existentially closed model (or exi"}
{"subject": "math:Yas_Marina_Circuit", "predicate": "proves", "object": "the yas marina circuit (arabic: \u062d\u0644\u0628\u0629 \u0645\u0631\u0633\u0649 \u064a\u0627\u0633) is the venue for the abu dhabi grand prix. the circui"}
{"subject": "math:Montmel\u00f3", "predicate": "proves", "object": "montmel\u00f3 () is a municipality in the comarca of vall\u00e8s oriental, within the barcelona metropolitan a"}
{"subject": "math:Siemion_Fajtlowicz", "predicate": "proves", "object": "siemion fajtlowicz is a polish-american mathematician, formerly a professor at the university of hou"}
{"subject": "math:Fred_Galvin", "predicate": "proves", "object": "frederick william galvin is a mathematician, currently a professor at the university of kansas. his "}
{"subject": "math:W._B._R._Lickorish", "predicate": "proves", "object": "william bernard raymond lickorish (born 19 february 1938) is a mathematician. he is emeritus profess"}
{"subject": "math:3-Nitrobenzyl_alcohol", "predicate": "proves", "object": "the compound 3-nitrobenzyl alcohol is an organic compound with the formula c7h7no3.\n\ndesorption mass"}
{"subject": "math:Partial_linear_space", "predicate": "proves", "object": "a partial linear space (also semilinear or near-linear space) is a basic incidence structure in the "}
{"subject": "math:Simplicial_volume", "predicate": "proves", "object": "in the mathematical field of geometric topology, the simplicial volume (also called gromov norm) is "}
{"subject": "math:Trace_operator", "predicate": "proves", "object": "in mathematics, the trace operator extends the notion of the restriction of a function to the bounda"}
{"subject": "math:McLaren_MP4-17", "predicate": "proves", "object": "the mclaren mp4-17 was the car with which the mclaren team competed in the  and  formula one world c"}
{"subject": "math:McLaren_MP4-18", "predicate": "proves", "object": "the mclaren mp4-18 (sometimes stylised as mp4/18) is a formula one car which was built with the inte"}
{"subject": "math:McLaren_MP4-19", "predicate": "proves", "object": "the mclaren mp4-19 is a formula one racing car that was built by mclaren for the 2004 season. the ch"}
{"subject": "math:Renault_R202", "predicate": "proves", "object": "the renault r202 was the car with which the renault team competed in the 2002 formula one world cham"}
{"subject": "math:Renault_R23", "predicate": "proves", "object": "the renault r23 is a formula one car that competed in the 2003 formula one season. the driver lineup"}
{"subject": "math:Renault_R24", "predicate": "proves", "object": "the renault r24 is a formula one car that competed in the 2004 formula one season.\n\ndesign and devel"}
{"subject": "math:In_the_Name_of_the_Father", "predicate": "proves", "object": "in the name of the father are the first words of the trinitarian formula. \n\nin the name of the fathe"}
{"subject": "math:Berger's_sphere", "predicate": "proves", "object": "in riemannian geometry, a berger sphere, named after marcel  berger, is a standard 3-sphere with rie"}
{"subject": "math:List_of_CSI:_Miami_characters", "predicate": "proves", "object": "list of characters for the cbs television series, csi: miami.\n\nequations\nduring csi: miamis opening "}
{"subject": "math:Jack_Morava", "predicate": "proves", "object": "jack johnson morava is an american homotopy theorist at johns hopkins university.\n\neducation\n\nof cze"}
{"subject": "math:Schouten\u2013Nijenhuis_bracket", "predicate": "proves", "object": "in differential geometry, the schouten\u2013nijenhuis bracket, also known as the schouten bracket, is a t"}
{"subject": "math:Nijenhuis_bracket", "predicate": "proves", "object": "in mathematics there are four different but related brackets named after albert nijenhuis, giving li"}
{"subject": "math:Albert_Nijenhuis", "predicate": "proves", "object": "albert nijenhuis (november 21, 1926 \u2013 february 13, 2015) was a dutch-american mathematician who spec"}
{"subject": "math:Methoxyethane", "predicate": "proves", "object": "methoxyethane, also known as ethyl methyl ether, is a colorless gaseous ether with the formula . unl"}
{"subject": "math:Dirk_Kreimer", "predicate": "proves", "object": "dirk kreimer (born 12 july 1960) is a german physicist who pioneered the hopf-algebraic approach to "}
{"subject": "math:Davidon\u2013Fletcher\u2013Powell_formula", "predicate": "proves", "object": "the davidon\u2013fletcher\u2013powell formula (or dfp; named after william c. davidon, roger fletcher, and mic"}
{"subject": "math:Category_of_modules", "predicate": "proves", "object": "in algebra, given a ring r, the category of left modules over r is the category whose objects are al"}
{"subject": "math:Population_vector", "predicate": "proves", "object": "in neuroscience, a population vector is the sum of the preferred directions of a population of neuro"}
{"subject": "math:Monogenetic_theory_of_pidgins", "predicate": "proves", "object": "according to the theory of monogenesis in its most radical form, all pidgins and creole languages of"}
{"subject": "math:DanceAfrica", "predicate": "proves", "object": "danceafrica is a heritage and community celebration equable on the manifold dance forms of the afric"}
{"subject": "math:Quantum_master_equation", "predicate": "proves", "object": "a quantum master equation is a generalization of the idea of a master equation. rather than just a s"}
{"subject": "math:Pitteway_triangulation", "predicate": "proves", "object": "in computational geometry, a pitteway triangulation is a point set triangulation in which the neares"}
{"subject": "math:James_Vowles", "predicate": "proves", "object": "james patrick vowles (born 20 june 1979) is a british motorsport engineer and team principal of will"}
{"subject": "math:Romanian_passport", "predicate": "proves", "object": "romanian passport () is an international travel document issued to nationals of romania, and may als"}
{"subject": "math:Formula_One_sponsorship_liveries", "predicate": "proves", "object": "formula one sponsorship liveries have been used since the  season. before the arrival of sponsorship"}
{"subject": "math:Quantum_graph", "predicate": "proves", "object": "in mathematics and  physics, a quantum graph is a linear, network-shaped structure  of vertices conn"}
{"subject": "math:Lie_algebra_bundle", "predicate": "proves", "object": "in mathematics, a weak lie algebra bundle\n\nis a vector bundle  over a base space x together with a m"}
{"subject": "math:Matrix_determinant_lemma", "predicate": "proves", "object": "in mathematics, in particular linear algebra, the matrix determinant lemma computes the determinant "}
{"subject": "math:Sport1_(Eastern_Europe)", "predicate": "proves", "object": "sport1 is a european sports channel which is currently available in hungary, czech republic and slov"}
{"subject": "math:Harish-Chandra's_regularity_theorem", "predicate": "proves", "object": "in mathematics, harish-chandra's regularity theorem, introduced by , states that every invariant eig"}
{"subject": "math:Fukushima's_Theorem", "predicate": "proves", "object": "in physics, fukushima's theorem holds that for all points beneath the ionosphere the magnetic fields"}
{"subject": "math:Solenopsin", "predicate": "proves", "object": "solenopsin is a lipophilic alkaloid with the molecular formula c17h35n found in the venom of fire an"}
{"subject": "math:BiLock", "predicate": "proves", "object": "bilock is a high-security keying system designed and manufactured by australian lock company. it is "}
{"subject": "math:Implicit_curve", "predicate": "proves", "object": "in mathematics, an implicit curve is a plane curve defined by an implicit equation relating two coor"}
{"subject": "math:C_change", "predicate": "proves", "object": "c change is a waterproof and windproof temperature adaptive material developed and produced by schoe"}
{"subject": "math:Social_identity_theory", "predicate": "proves", "object": "social identity is the portion of an individual's self-concept derived from perceived membership in "}
{"subject": "math:Monotonically_normal_space", "predicate": "proves", "object": "in mathematics, specifically in the field of topology, a monotonically normal space is a particular "}
{"subject": "math:International_Formula_Master", "predicate": "proves", "object": "international formula master, also known as formula super 2000, was a european-based junior single s"}
{"subject": "math:2007_International_Formula_Master", "predicate": "proves", "object": "the 2007 international formula master was the inaugural international formula master series season. "}
{"subject": "math:1,2-Bis(dimethylarsino)benzene", "predicate": "proves", "object": "1,2-bis(dimethylarsino)benzene (diars) is the organoarsenic compound with the formula ch(as(ch)). th"}
{"subject": "math:Meusnier's_theorem", "predicate": "proves", "object": "in differential geometry, meusnier's theorem states that all curves on a surface passing through a g"}
{"subject": "math:Chinese_hypothesis", "predicate": "proves", "object": "in number theory, the chinese hypothesis is a disproven conjecture stating that an integer n is prim"}
{"subject": "math:Discrepancy", "predicate": "proves", "object": "discrepancy may refer to:\n\nmathematics\n discrepancy of a sequence\n discrepancy theory in structural "}
{"subject": "math:Vertex_(geometry)", "predicate": "proves", "object": "in geometry, a vertex (: vertices or vertexes) is a point where two or more curves, lines, or edges "}
{"subject": "math:Dichlorofluoromethane", "predicate": "proves", "object": "dichlorofluoromethane or freon 21 or r 21 is a halomethane or hydrochlorofluorocarbon with the formu"}
{"subject": "math:Skorokhod's_theorem", "predicate": "proves", "object": "skorokhod's theorem may refer to:\n\n skorokhod's embedding theorem\n skorokhod's representation theore"}
{"subject": "math:Raising_and_lowering_indices", "predicate": "proves", "object": "in mathematics and mathematical physics, raising and lowering indices are operations on tensors whic"}
{"subject": "math:Positive_current", "predicate": "proves", "object": "in mathematics, more particularly in complex geometry,\nalgebraic geometry and complex analysis, a po"}
{"subject": "math:Triphenylamine", "predicate": "proves", "object": "triphenylamine is an organic compound with formula (c6h5)3n. in contrast to most amines, triphenylam"}
{"subject": "math:Goormaghtigh_conjecture", "predicate": "proves", "object": "in mathematics, the goormaghtigh conjecture is a conjecture in number theory named for the belgian m"}
{"subject": "math:Busemann's_theorem", "predicate": "proves", "object": "in mathematics, busemann's theorem is a theorem in euclidean geometry and geometric tomography. it w"}
{"subject": "math:Vitale's_random_Brunn\u2013Minkowski_inequality", "predicate": "proves", "object": "in mathematics, vitale's random brunn\u2013minkowski inequality is a theorem due to richard vitale that g"}
{"subject": "math:H_tree", "predicate": "proves", "object": "in fractal geometry, the h tree is a fractal tree structure constructed from perpendicular line segm"}
{"subject": "math:Traveler's_dilemma", "predicate": "proves", "object": "in game theory, the traveler's dilemma (sometimes abbreviated td) is a non-zero-sum game in which ea"}
{"subject": "math:Milman's_reverse_Brunn\u2013Minkowski_inequality", "predicate": "proves", "object": "in mathematics, particularly, in asymptotic convex geometry, milman's reverse brunn\u2013minkowski inequa"}
{"subject": "math:Thallium_triiodide", "predicate": "proves", "object": "thallium triiodide is a chemical compound of thallium and iodine with formula . unlike the other tha"}
{"subject": "math:Vehicle_registration_plates_of_Slovenia", "predicate": "proves", "object": "slovenian car number plates are vehicle registration plates found on slovenian cars. the code for sl"}
{"subject": "math:Unified_shader_model", "predicate": "proves", "object": "in the field of 3d computer graphics, the unified shader model (known in direct3d 10 as \"shader mode"}
{"subject": "math:Diagnostic_equation", "predicate": "proves", "object": "in a physical (and especially geophysical) simulation context, a diagnostic equation (or diagnostic "}
{"subject": "math:Prognostic_equation", "predicate": "proves", "object": "prognostic equation - in the context of physical (and especially geophysical) simulation, a prognost"}
{"subject": "math:Birotunda", "predicate": "proves", "object": "in geometry, a birotunda is any member of a family of dihedral-symmetric polyhedra, formed from two "}
{"subject": "math:Chandrashekhar_Khare", "predicate": "proves", "object": "chandrashekhar b. khare (born 1968) is a professor of mathematics at the university of california lo"}
{"subject": "math:Unduloid", "predicate": "proves", "object": "in geometry, an unduloid, or onduloid, is a surface with constant nonzero mean curvature obtained as"}
{"subject": "math:Enrique_Mansilla", "predicate": "proves", "object": "enrique mansilla (born february 14, 1958) is an argentine former racing driver born in buenos aires."}
{"subject": "math:Volunteer's_dilemma", "predicate": "proves", "object": "the volunteer's dilemma game models a situation in which each player can either make a small sacrifi"}
{"subject": "math:Johannes_von_Kries", "predicate": "proves", "object": "johannes adolf von kries (6 october 1853 \u2013 30 december 1928) was a german physiological psychologist"}
{"subject": "math:Benzotriazole", "predicate": "proves", "object": "{{chembox\n| verifiedfields = changed\n| watchedfields = changed\n| verifiedrevid = 464365248\n| imagefi"}
{"subject": "math:Thinned-array_curse", "predicate": "proves", "object": "the thinned-array curse (sometimes, sparse-array curse) is a theorem in electromagnetic theory of an"}
{"subject": "math:Brascamp\u2013Lieb_inequality", "predicate": "proves", "object": "in mathematics, the brascamp\u2013lieb inequality is either of two inequalities. the first is a result in"}
{"subject": "math:Vikraman_Balaji", "predicate": "proves", "object": "vikraman balaji is an indian mathematician and is currently a professor  at chennai mathematical ins"}
{"subject": "math:Principal_axis_theorem", "predicate": "proves", "object": "in geometry and linear algebra, a principal axis is a certain line in a euclidean space associated w"}
{"subject": "math:Archibald_Query", "predicate": "proves", "object": "archibald query (1873\u20131964) was a canadian-born american confectioner, who invented marshmallow fluf"}
{"subject": "math:Skew-Hamiltonian_matrix", "predicate": "proves", "object": "in linear algebra, skew-hamiltonian matrices are special matrices which correspond to skew-symmetric"}
{"subject": "math:2007_Formula_3_Euro_Series", "predicate": "proves", "object": "the 2007 formula 3 euro series season was the fifth championship year of europe\u2019s premier formula th"}
{"subject": "math:2007_French_motorcycle_Grand_Prix", "predicate": "proves", "object": "the 2007 french motorcycle grand prix was the fifth round of the 2007 motogp championship. it took p"}
{"subject": "math:Renierite", "predicate": "proves", "object": "renierite is a rare copper zinc germanium bearing sulfide mineral with the chemical formula . it occ"}
{"subject": "math:Levy\u2013Mises_equations", "predicate": "proves", "object": "the levi\u2013mises equations (also called flow rules) describe the relationship between stress and strai"}
{"subject": "math:Kobon_triangle_problem", "predicate": "proves", "object": "the kobon triangle problem is an unsolved problem in combinatorial geometry first stated by kobon fu"}
{"subject": "math:Jeremy_Metcalfe", "predicate": "proves", "object": "jeremy metcalfe (born 9 april 1988 in fleet, hampshire) is a british motor racing driver who last co"}
{"subject": "math:Normal_polytope", "predicate": "proves", "object": "in mathematics, specifically in combinatorial commutative algebra, a convex lattice polytope p is ca"}
{"subject": "math:Gauge_function", "predicate": "proves", "object": "in mathematics, gauge function may refer to\n the gauge as used in the definition of the henstock-kur"}
{"subject": "math:Vacuum_switch", "predicate": "proves", "object": "prior to effective engine control unit computers, engine vacuum was used for many functions in an au"}
{"subject": "math:Nodoid", "predicate": "proves", "object": "in differential geometry, a nodoid is a surface of revolution with constant nonzero mean curvature o"}
{"subject": "math:McDonnell_Douglas_Corp._v._Green", "predicate": "proves", "object": "mcdonnell douglas corp. v. green, 411 u.s. 792 (1973), is a us employment law case by the united sta"}
{"subject": "math:Concatenation_(disambiguation)", "predicate": "proves", "object": "concatenation is a computer programming operation that joins strings together.\n\nconcatenation may al"}
{"subject": "math:Oxford_v_Moss", "predicate": "proves", "object": "oxford v moss (1979) is an english criminal law case, dealing with theft of intangible property: inf"}
{"subject": "math:Pepa", "predicate": "proves", "object": "pepa may refer to:\npepa, democratic republic of the congo, a village\npepa airport, an airstrip\npepa "}
{"subject": "math:Diethylaminosulfur_trifluoride", "predicate": "proves", "object": "diethylaminosulfur trifluoride (dast) is the organosulfur compound with the formula et2nsf3. this li"}
{"subject": "math:Amenable_Banach_algebra", "predicate": "proves", "object": "in mathematics, specifically in functional analysis, a banach algebra, a,  is amenable if all bounde"}
{"subject": "math:Stangenwald_Building", "predicate": "proves", "object": "the stangenwald building at 119 merchant street, in downtown honolulu, hawaii was the city's first h"}
{"subject": "math:Small_nucleolar_RNA_snR64", "predicate": "proves", "object": "in molecular biology, snr64 is an rna molecule belonging to the c/d class of small nucleolar rna (sn"}
{"subject": "math:Complement_(group_theory)", "predicate": "proves", "object": "in mathematics, especially in the area of algebra known as group theory, a complement of a subgroup "}
{"subject": "math:Troy_CLE", "predicate": "proves", "object": "troy tompkins, known as troy cle, is an american fiction writer from east orange, new jersey. he is "}
{"subject": "math:\u0391-Ketobutyric_acid", "predicate": "proves", "object": "\u03b1-ketobutyric acid is an organic compound with the formula ch3ch2c(o)co2h.  it is a colorless solid "}
{"subject": "math:Dimethylglycine", "predicate": "proves", "object": "dimethylglycine (dmg) is a derivative of the amino acid glycine with the structural formula (ch3)2nc"}
{"subject": "math:Classifying_space_for_O(n)", "predicate": "proves", "object": "in mathematics, the classifying space for the orthogonal group o(n) may be constructed as the grassm"}
{"subject": "math:Lyre_arm", "predicate": "proves", "object": "a lyre arm is an element of design in furniture, architecture and the decorative arts, wherein a sha"}
{"subject": "math:Antiparallel_lines", "predicate": "proves", "object": "in geometry, two lines  and  are antiparallel with respect to a given line  if they each make congru"}
{"subject": "math:Hemispherical_photography", "predicate": "proves", "object": "hemispherical photography, also known as canopy photography, is a technique to estimate solar radiat"}
{"subject": "math:Bowyer\u2013Watson_algorithm", "predicate": "proves", "object": "in computational geometry, the bowyer\u2013watson algorithm is a method for computing the delaunay triang"}
{"subject": "math:Minimax_eversion", "predicate": "proves", "object": "in geometry, minimax eversions are a class of sphere eversions, constructed by using half-way models"}
{"subject": "math:Lifting-line_theory", "predicate": "proves", "object": "the prandtl lifting-line theory is a mathematical model in aerodynamics that predicts lift distribut"}
{"subject": "math:\u00c5sa_Wahlquist", "predicate": "proves", "object": "\u00e5sa wahlquist is an australian journalist.\n\nlife and career\nin her early years wahlquist worked as a"}
{"subject": "math:Bromoacetic_acid", "predicate": "proves", "object": "bromoacetic acid is the chemical compound with the formula ch2brco2h.  this colorless solid is a rel"}
{"subject": "math:SUPERthrive", "predicate": "proves", "object": "superthrive is a concentrated non-toxic vitamin solution that enhances plant growth. it contains .09"}
{"subject": "math:Nathan_Freke", "predicate": "proves", "object": "nathan freke (born 8 september 1983) is a racing driver. he was the 2006 british formula ford champi"}
{"subject": "math:Geometry_Wars:_Galaxies", "predicate": "proves", "object": "geometry wars: galaxies is a multidirectional shooter video game developed by bizarre creations and "}
{"subject": "math:LCP_theory", "predicate": "proves", "object": "in chemistry, ligand close packing theory (lcp theory),  sometimes called the ligand close packing m"}
{"subject": "math:Aphasia_(disambiguation)", "predicate": "proves", "object": "aphasia is the inability to comprehend or formulate language.\n\naphasia may also refer to:\n\n aphasia "}
{"subject": "math:Radical_of_a_Lie_algebra", "predicate": "proves", "object": "in the mathematical field of lie theory, the radical of a lie algebra  is the largest solvable ideal"}
{"subject": "math:P115", "predicate": "proves", "object": "p115 may refer to:\n , a patrol boat of the mexican navy\n boulton paul p.115, a british trainer aircr"}
{"subject": "math:BH3", "predicate": "proves", "object": "bh3 could refer to\n\nthe molecule borane, which has a chemical formula of bh3.\nthe  bcl-2 homology do"}
{"subject": "math:Polar_homology", "predicate": "proves", "object": "in complex geometry, a polar homology is a group which captures holomorphic invariants  of a complex"}
{"subject": "math:MAZ-535", "predicate": "proves", "object": "maz-535 is a soviet army vehicle, an artillery tractor designed and developed by maz. designed in th"}
{"subject": "math:Ramaswamy_S._Vaidyanathaswamy", "predicate": "proves", "object": "ramaswamy s. vaidyanathaswamy (1894\u20131960) was an indian mathematician who wrote the first textbook o"}
{"subject": "math:Sesok-ogye", "predicate": "proves", "object": "the se sok o-gye, or just o-gye, are the five secular rules (and part of the moral code) of the hwar"}
{"subject": "math:Underlayment", "predicate": "proves", "object": "underlayment may refer to:\n\n underlay, a material placed underneath floor carpet, other flooring mat"}
{"subject": "math:Xcas", "predicate": "proves", "object": "xcas is a user interface to giac, which is an open source computer algebra system (cas) for windows,"}
{"subject": "math:Monaco_Grand_Prix_support_races", "predicate": "proves", "object": "the formula one monaco grand prix has had a support race in many of its editions, the longest runnin"}
{"subject": "math:Combinatorial_commutative_algebra", "predicate": "proves", "object": "combinatorial commutative algebra is a relatively new, rapidly developing mathematical discipline. a"}
{"subject": "math:H-vector", "predicate": "proves", "object": "in algebraic combinatorics, the h-vector of a simplicial polytope is a fundamental invariant of the "}
{"subject": "math:Stieltjes_transformation", "predicate": "proves", "object": "in mathematics, the stieltjes transformation  of a measure of density  on a real interval  is the fu"}
{"subject": "math:Seco_Herrerano", "predicate": "proves", "object": "seco herrerano is an alcoholic beverage distilled from sugar cane. it is distilled three times. it i"}
{"subject": "math:A-sharp", "predicate": "proves", "object": "a-sharp, a or a# may refer to:\n\n a-sharp major, enharmonic to b-flat major\n a-sharp minor\n a\u266f (music"}
{"subject": "math:NanoPutian", "predicate": "proves", "object": "nanoputians are a series of organic molecules whose structural formulae resemble human forms. james "}
{"subject": "math:Lema\u00eetre\u2013Tolman_metric", "predicate": "proves", "object": "in physics, the lema\u00eetre\u2013tolman metric, also known as the lema\u00eetre\u2013tolman\u2013bondi metric or the tolman"}
{"subject": "math:Adaptor_hypothesis", "predicate": "proves", "object": "the adaptor hypothesis is a theoretical scheme in molecular biology to explain how information encod"}
{"subject": "math:Conceptual_physics", "predicate": "proves", "object": "conceptual physics is an approach to teaching physics that focuses on the ideas of physics rather th"}
{"subject": "math:Tetrahalomethane", "predicate": "proves", "object": "tetrahalomethanes are fully halogenated methane derivatives of general formula cfkcllbrminatp, where"}
{"subject": "math:Kawasaki_Vulcan_900_Classic", "predicate": "proves", "object": "the kawasaki vulcan 900 classic motorcycle (model vn900b) is a mid-sized motorcycle cruiser made by "}
{"subject": "math:United_Sciences_of_America", "predicate": "proves", "object": "united sciences of america, inc. (also known as usa) was an american company that was accused of fra"}
{"subject": "math:Diferulic_acids", "predicate": "proves", "object": "diferulic acids (also known as dehydrodiferulic acids) are organic compounds that have the general c"}
{"subject": "math:Hotelling", "predicate": "proves", "object": "hotelling may refer to:\n hoteling, an office organization method\n harold hotelling, american statist"}
{"subject": "math:Dynamic_convex_hull", "predicate": "proves", "object": "the dynamic convex hull problem is a class of dynamic problems in computational geometry. the proble"}
{"subject": "math:Carath\u00e9odory_metric", "predicate": "proves", "object": "in mathematics, the carath\u00e9odory metric is a metric defined on the open unit ball of a complex banac"}
{"subject": "math:Huber's_equation", "predicate": "proves", "object": "huber's equation, first derived by a polish engineer tytus maksymilian huber, is a basic formula in "}
{"subject": "math:AF-2", "predicate": "proves", "object": "af-2 or variant, may refer to:\n furylfuramide\n , us navy stores ship\n grumman af-2 guardian, asw car"}
{"subject": "math:Private_(rocket)", "predicate": "proves", "object": "private was an experimental rocket developed by the california institute of technology on behalf of "}
{"subject": "math:Angus_Macintyre", "predicate": "proves", "object": "angus john macintyre frs, frse (born 1941) is a british mathematician and logician who is a leading "}
{"subject": "math:History_of_numerical_solution_of_differential_equa", "predicate": "proves", "object": "differential equations, in particular euler equations, rose in prominence during world war ii in cal"}
{"subject": "math:1975_Swiss_Grand_Prix", "predicate": "proves", "object": "the 1975 swiss grand prix was a non-championship formula one race held on 24 august 1975 at the dijo"}
{"subject": "math:S\u00e9bastien_Buemi", "predicate": "proves", "object": "s\u00e9bastien olivier buemi (; born 31 october 1988) is a swiss professional racing driver, who competes"}
{"subject": "math:1,2-Dioxetane", "predicate": "proves", "object": "the chemical substance 1,2-dioxetane  (systematically named 1,2-dioxacyclobutane, also known as ethy"}
{"subject": "math:Diethylaluminium_cyanide", "predicate": "proves", "object": "diethylaluminium cyanide (\"nagata's reagent\") is the organoaluminium compound with formula . this co"}
{"subject": "math:Boyan_Petkanchin", "predicate": "proves", "object": "boyan petkanchin () (april 8, 1907 \u2013 march 3, 1987) was a prominent bulgarian mathematician, working"}
{"subject": "math:Mexican_passport", "predicate": "proves", "object": "mexican passport () is the passport issued to mexican citizens for the purpose of travelling abroad."}
{"subject": "math:Luopan", "predicate": "proves", "object": "the luopan or geomantic compass is a chinese magnetic compass, also known as a feng shui compass. it"}
{"subject": "math:Ossi_Oikarinen", "predicate": "proves", "object": "ossi oikarinen (born 3 may 1970) is a finnish engineer who works in formula one.\n\ncareer \noikarinen "}
{"subject": "math:Blue_sky_catastrophe", "predicate": "proves", "object": "the blue sky catastrophe is a form of orbital indeterminacy, and an element of bifurcation theory.\n\n"}
{"subject": "math:Glivenko's_theorem", "predicate": "proves", "object": "glivenko's theorem may refer to:\n\n glivenko's theorem (probability theory)\n glivenko's theorem or gl"}
{"subject": "math:David_Avis", "predicate": "proves", "object": "david michael avis (born march 20, 1951) is a canadian and british computer scientist known for his "}
{"subject": "math:CGAL", "predicate": "proves", "object": "the computational geometry algorithms library (cgal) is an open source software library of computati"}
{"subject": "math:Non-interactive_zero-knowledge_proof", "predicate": "proves", "object": "non-interactive zero-knowledge proofs are cryptographic primitives, where information between a prov"}
{"subject": "math:Diose", "predicate": "proves", "object": "a diose is a monosaccharide containing two carbon atoms.  because the general chemical formula of an"}
{"subject": "math:C17H27NO3", "predicate": "proves", "object": "{{displaytitle:c17h27no3}}\nthe molecular formula c17h27no3 (molar mass: 293.40 g/mol, exact mass: 29"}
{"subject": "math:Phosphomolybdic_acid", "predicate": "proves", "object": "phosphomolybdic acid is the heteropolymetalate with the formula . it is a yellow solid, although eve"}
{"subject": "math:Product_integral", "predicate": "proves", "object": "a product integral is any product-based counterpart of the usual sum-based integral of calculus. the"}
{"subject": "math:Locally_finite_collection", "predicate": "proves", "object": "a collection of subsets of a topological space  is said to be locally finite if each point in the sp"}
{"subject": "math:PDES", "predicate": "proves", "object": "pdes may refer to:\n\niso 10303 - an international standard resulting from the product data exchange s"}
{"subject": "math:Euclidean_relation", "predicate": "proves", "object": "in mathematics, euclidean relations are a class of binary relations that formalize \"axiom 1\" in eucl"}
{"subject": "math:SNARK_(theorem_prover)", "predicate": "proves", "object": "snark, (sri's new automated reasoning kit), is a theorem prover for multi-sorted first-order logic i"}
{"subject": "math:Jordan_193", "predicate": "proves", "object": "the jordan 193 was the car with which the jordan team competed in the 1993 formula one world champio"}
{"subject": "math:Burt_Totaro", "predicate": "proves", "object": "burt james totaro, frs (b. 1967), is an american mathematician, currently a professor at the univers"}
{"subject": "math:Almost_symplectic_manifold", "predicate": "proves", "object": "in differential geometry, an almost symplectic structure on a differentiable manifold  is a two-form"}
{"subject": "math:Torsion-free_abelian_group", "predicate": "proves", "object": "in mathematics, specifically in abstract algebra, a torsion-free abelian group is an abelian group w"}
{"subject": "math:Lotus_96T", "predicate": "proves", "object": "the lotus type 96t was team lotus's last indycar.\n\nthe project was the brainchild of former formula "}
{"subject": "math:Flat_neighborhood_network", "predicate": "proves", "object": "flat neighborhood network (fnn) is a topology for distributed computing and other computer networks."}
{"subject": "math:FRW", "predicate": "proves", "object": "frw may refer to:\n\nfrw, currency symbol for the rwandan franc\n frw metric, one name for an exact sol"}
{"subject": "math:SPCS", "predicate": "proves", "object": "spcs may refer to:\n\nsociety for the promotion of community standards\nstate plane coordinate system\ns"}
{"subject": "math:Superleague_Formula", "predicate": "proves", "object": "superleague formula was an open wheel single seater motor racing formula, which started in 2008, at "}
{"subject": "math:Historic_Formula_One_Championship", "predicate": "proves", "object": "the historic formula one championship, previously known as the thoroughbred grand prix championship,"}
{"subject": "math:Gould_Racing", "predicate": "proves", "object": "gould racing \nis a british motorsport company, specialising in racing car manufacture and engineerin"}
{"subject": "math:Area_theorem", "predicate": "proves", "object": "area theorem may refer to:\n for hawking's area theorem, see black hole thermodynamics#the laws of bl"}
{"subject": "math:Cadabra", "predicate": "proves", "object": "cadabra might refer to:\ncadabra (computer program), a computer algebra system for field theory probl"}
{"subject": "math:Spacetime_diagram", "predicate": "proves", "object": "a spacetime diagram is a graphical illustration of locations in space at various times, especially i"}
{"subject": "math:Khinchin's_theorem", "predicate": "proves", "object": "khinchin's theorem may refer to any of several different results by aleksandr khinchin:\n\nwiener\u2013khin"}
{"subject": "math:2000_Italian_Formula_3000_Championship", "predicate": "proves", "object": "the 2000 italian formula 3000 championship was contested over 8 rounds. 13 different teams, 40 diffe"}
{"subject": "math:Steinhaus_theorem", "predicate": "proves", "object": "in the mathematical field of real analysis, the steinhaus theorem states that the difference set of "}
{"subject": "math:Triphenylstibine", "predicate": "proves", "object": "triphenylstibine is the chemical compound with the formula sb(c6h5)3.  abbreviated sbph3, this colou"}
{"subject": "math:Tangential_quadrilateral", "predicate": "proves", "object": "in euclidean geometry, a tangential quadrilateral (sometimes just tangent quadrilateral) or circumsc"}
{"subject": "math:Quotient_of_subspace_theorem", "predicate": "proves", "object": "in mathematics, the quotient of subspace theorem is an important property of finite-dimensional norm"}
{"subject": "math:Dvoretzky", "predicate": "proves", "object": "dvoretzky is a surname. notable people with the surname include:\n\n aryeh dvoretzky (1916\u20132008), russ"}
{"subject": "math:Dini's_theorem", "predicate": "proves", "object": "in the mathematical field of analysis, dini's theorem says that if a monotone sequence of continuous"}
{"subject": "math:2001_Euro_Formula_3000_Championship", "predicate": "proves", "object": "the 2001 euro formula 3000 championship was contested over 8 rounds. 11 different teams, 30 differen"}
{"subject": "math:Complex_conjugate_root_theorem", "predicate": "proves", "object": "in mathematics, the complex conjugate root theorem states that if p is a polynomial in one variable "}
{"subject": "math:2002_Euro_Formula_3000_Championship", "predicate": "proves", "object": "the 2002 euro formula 3000 championship was scheduled over 10 rounds and contested over 9 rounds. 14"}
{"subject": "math:2003_Euro_Formula_3000_Series", "predicate": "proves", "object": "the 2003 euro formula 3000 series was scheduled over 10 rounds and contested over 9 rounds. 10 diffe"}
{"subject": "math:Thermal_paper", "predicate": "proves", "object": "thermal paper (often supplied in roll form, and sometimes referred to as an audit roll) is a special"}
{"subject": "math:2004_Euro_Formula_3000_Series", "predicate": "proves", "object": "the 2004 superfund euro formula 3000 series was contested over 10 rounds. 10 different teams and 25 "}
{"subject": "math:M._Riesz_extension_theorem", "predicate": "proves", "object": "the m. riesz extension theorem is a theorem in mathematics, proved by marcel riesz during his study "}
{"subject": "math:McLaren_M2B", "predicate": "proves", "object": "the mclaren m2b was the mclaren team's first formula one racing car, used during the 1966 season. it"}
{"subject": "math:Central_carrier", "predicate": "proves", "object": "in the context of von neumann algebras, the central carrier of a projection e is the smallest centra"}
{"subject": "math:Alveolar_gas_equation", "predicate": "proves", "object": "the alveolar gas equation is the method for calculating partial pressure of alveolar oxygen (pao2). "}
{"subject": "math:Aircraft_dope", "predicate": "proves", "object": "aircraft dope is a plasticised lacquer that is applied to fabric-covered aircraft. it tightens and s"}
{"subject": "math:N\u00e9ron_model", "predicate": "proves", "object": "in algebraic geometry, the n\u00e9ron model (or n\u00e9ron minimal model, or minimal model)\nfor an abelian var"}
{"subject": "math:Arkadios_II_of_Cyprus", "predicate": "proves", "object": "archbishop arkadios ii (; died 643) was the head of the church of cyprus during the 630s. he was a s"}
{"subject": "math:Countryman_line", "predicate": "proves", "object": "in mathematics, a countryman line (named after roger simmons countryman jr.) is an uncountable linea"}
{"subject": "math:Danish_oil", "predicate": "proves", "object": "danish oil is a wood finishing oil, often made of tung oil or polymerized linseed oil. because there"}
{"subject": "math:Area_of_a_triangle", "predicate": "proves", "object": "in geometry, calculating the area of a triangle is an elementary problem encountered often in many d"}
{"subject": "math:Sazonov's_theorem", "predicate": "proves", "object": "in mathematics, sazonov's theorem, named after vyacheslav vasilievich sazonov (), is a theorem in fu"}
{"subject": "math:Galatasaray_(disambiguation)", "predicate": "proves", "object": "galatasaray may refer to:\n\n galatasaray s.k., a turkish sports club based in istanbul\n galatasaray s"}
{"subject": "math:Research_Quality_Framework", "predicate": "proves", "object": "research quality framework (rqf) was a component of backing australia's ability, an initiative of th"}
{"subject": "math:Sy_Weintraub", "predicate": "proves", "object": "sy weintraub (may 28, 1923 \u2013 april 4, 2000) was an american film and television producer best known "}
{"subject": "math:The_Formula", "predicate": "proves", "object": "the formula may refer to:\n the formula (1980 film), a mystery film\n the formula (2002 film), a fan f"}
{"subject": "math:Formula_Maruti", "predicate": "proves", "object": "formula maruti was a single-seater, open-wheel class in motorsport made and raced in india. many of "}
{"subject": "math:The_Myth_of_the_American_Superhero", "predicate": "proves", "object": "the myth of the american superhero is a scholarly non-fiction book by robert jewett and john shelton"}
{"subject": "math:Foundherentism", "predicate": "proves", "object": "in epistemology, foundherentism is a theory of justification that combines elements from the two riv"}
{"subject": "math:Gyula_O._H._Katona", "predicate": "proves", "object": "gyula o. h. katona (born 16 march 1941 in budapest) is a hungarian mathematician known for his work "}
{"subject": "math:Field_of_definition", "predicate": "proves", "object": "in mathematics, the field of definition of an algebraic variety v is essentially the smallest field "}
{"subject": "math:Straight_Lines", "predicate": "proves", "object": "straight lines may refer to:\n\n straight line, in mathematical geometry\n straight lines (band), a can"}
{"subject": "math:Easterlin_paradox", "predicate": "proves", "object": "the easterlin paradox is a finding in happiness economics formulated in 1974 by richard easterlin, t"}
{"subject": "math:Gullstrand\u2013Painlev\u00e9_coordinates", "predicate": "proves", "object": "gullstrand\u2013painlev\u00e9 coordinates are a particular set of coordinates for the schwarzschild metric \u2013 a"}
{"subject": "math:Oxamide", "predicate": "proves", "object": "oxamide is the organic compound with the formula . this white crystalline solid is soluble in ethano"}
{"subject": "math:Prost_AP04", "predicate": "proves", "object": "the prost ap04 was the car with which the prost team competed in the 2001 formula one world champion"}
{"subject": "math:Kilifarevo", "predicate": "proves", "object": "kilifarevo ( ) is a small town in central northern bulgaria, administratively part of veliko tarnovo"}
{"subject": "math:Geometrical_properties_of_polynomial_roots", "predicate": "proves", "object": "in mathematics, a univariate polynomial of degree  with real or complex coefficients has  complex ro"}
{"subject": "math:McLaren_M7A", "predicate": "proves", "object": "the mclaren m7a and its m7b, m7c and m7d variants were formula one racing cars, built by mclaren and"}
{"subject": "math:1984_European_Formula_Two_Championship", "predicate": "proves", "object": "the 1984 european formula two season was contested over 11 rounds. 13 teams, 32 drivers, 8 chassis a"}
{"subject": "math:Lumber_Exchange_Building", "predicate": "proves", "object": "the lumber exchange building was the first skyscraper built in minneapolis, minnesota, united states"}
{"subject": "math:1983_European_Formula_Two_Championship", "predicate": "proves", "object": "the 1983 european formula two season was contested over 12 rounds. 14 teams, 39 drivers, 10 chassis "}
{"subject": "math:Langbeinite", "predicate": "proves", "object": "langbeinite is a potassium magnesium sulfate mineral with the chemical formula k2mg2(so4)3. langbein"}
{"subject": "math:Milnor_conjecture_(topology)", "predicate": "proves", "object": "in knot theory, the milnor conjecture says that the slice genus of the  torus knot is \n\nit is in a s"}
{"subject": "math:Deuterated_chloroform", "predicate": "proves", "object": "deuterated chloroform, also known as chloroform-d, is the organic compound with the formula  or . de"}
{"subject": "math:Forward_kinematics", "predicate": "proves", "object": "in robot kinematics, forward kinematics refers to the use of the kinematic equations of a robot to c"}
{"subject": "math:Alfa_Romeo_179", "predicate": "proves", "object": "the alfa romeo 179 is a formula one car which was used (in different variants) by the alfa romeo tea"}
{"subject": "math:Pastor_Maldonado", "predicate": "proves", "object": "pastor rafael maldonado motta (; born 9 march 1985) is a venezuelan professional racing driver, who "}
{"subject": "math:1982_European_Formula_Two_Championship", "predicate": "proves", "object": "the 1982 european formula two championship was the sixteenth edition of the european formula two cha"}
{"subject": "math:Ruppeiner_geometry", "predicate": "proves", "object": "ruppeiner geometry is thermodynamic geometry (a type of information geometry) using the language of "}
{"subject": "math:1987_Japanese_Formula_3000_Championship", "predicate": "proves", "object": "the 1987 japanese formula 3000 championship was contested over 9 rounds. 17 different teams, 22 diff"}
{"subject": "math:2007_Australian_Grand_Prix", "predicate": "proves", "object": "the 2007 australian grand prix (officially the 2007 formula 1 ing australian grand prix) was a formu"}
{"subject": "math:Lead_scandium_tantalate", "predicate": "proves", "object": "lead scandium tantalate (pst) is a mixed oxide of lead, scandium, and tantalum.  it has the formula "}
{"subject": "math:Novikov's_condition", "predicate": "proves", "object": "in probability theory, novikov's condition is the sufficient condition for a stochastic process whic"}
{"subject": "math:1988_Japanese_Formula_3000_Championship", "predicate": "proves", "object": "the 1988 japanese formula 3000 championship was contested over 8 rounds. 18 different teams, 24 diff"}
{"subject": "math:1989_Japanese_Formula_3000_Championship", "predicate": "proves", "object": "the 1989 japanese formula 3000 championship was contested over 8 rounds.  17 different teams, 29 dif"}
{"subject": "math:Pivalamide", "predicate": "proves", "object": "pivalamide (2,2-dimethylpropanamide, or ndepa), a simple amide substituted with a tert-butyl group h"}
{"subject": "math:1981_European_Formula_Two_Championship", "predicate": "proves", "object": "the 1981 european formula two season was the fifteenth european formula two season and was contested"}
{"subject": "math:Dimethyl_oxalate", "predicate": "proves", "object": "dimethyl oxalate is an organic compound with the formula (co2ch3)2.  it is the dimethyl ester of oxa"}
{"subject": "math:Tricalcium_aluminate", "predicate": "proves", "object": "tricalcium aluminate ca3al2o6, often formulated as 3cao\u00b7al2o3 to highlight the proportions of the ox"}
{"subject": "math:Refinement", "predicate": "proves", "object": "refinement may refer to:\n\nmathematics \n equilibrium refinement, the identification of actualized equ"}
{"subject": "math:Progresiv_TM", "predicate": "proves", "object": "progresiv tm was a romanian rock band from timi\u0219oara. the band, set up in october 1972, was first ca"}
{"subject": "math:1990_Japanese_Formula_3000_Championship", "predicate": "proves", "object": "the 1990 japanese formula 3000 championship was contested over 10 rounds.  25 different teams, 38 di"}
{"subject": "math:Dan_Segal", "predicate": "proves", "object": "daniel segal (born 1947) is a british mathematician and a professor of mathematics at the university"}
{"subject": "math:Kevin_Buzzard", "predicate": "proves", "object": "kevin mark buzzard (born 21 september 1968) is a british mathematician and currently a professor of "}
{"subject": "math:Deuterated_THF", "predicate": "proves", "object": "deuterated tetrahydrofuran (d8-thf) is a colourless, organic liquid at standard temperature and pres"}
{"subject": "math:Ferrari_412T", "predicate": "proves", "object": "ferrari 412t refers to two formula one cars developed by ferrari:\n ferrari 412 t1 refers to the car "}
{"subject": "math:Ferrari_641", "predicate": "proves", "object": "the ferrari 641 (also known as the ferrari f1-90) was the formula one racing car with which the ferr"}
{"subject": "math:Thom\u2013Mather_stratified_space", "predicate": "proves", "object": "in topology, a branch of mathematics, an abstract stratified space, or a thom\u2013mather stratified spac"}
{"subject": "math:Intersection_of_a_polyhedron_with_a_line", "predicate": "proves", "object": "in computational geometry, the problem of computing the  intersection of a polyhedron with a line ha"}
{"subject": "math:1991_Japanese_Formula_3000_Championship", "predicate": "proves", "object": "the 1991 japanese formula 3000 championship was scheduled over 11 rounds and contested over 10 round"}
{"subject": "math:Hypoelliptic_operator", "predicate": "proves", "object": "in the theory of partial differential equations, a partial differential operator  defined on an open"}
{"subject": "math:Facial_feedback_hypothesis", "predicate": "proves", "object": "the facial feedback hypothesis, rooted in the conjectures of charles darwin and william james, is th"}
{"subject": "math:Peco_(unit)", "predicate": "proves", "object": "peco is the unit of measurement of the dielectric properties of concrete and other hydrating materia"}
{"subject": "math:1992_Japanese_Formula_3000_Championship", "predicate": "proves", "object": "the 1992 japanese formula 3000 championship was contested over 11 rounds. 21 different teams, 34 dif"}
{"subject": "math:1993_Japanese_Formula_3000_Championship", "predicate": "proves", "object": "the 1993 japanese formula 3000 championship was scheduled over 11 rounds and contested over 9 rounds"}
{"subject": "math:1994_Japanese_Formula_3000_Championship", "predicate": "proves", "object": "the 1994 japanese formula 3000 championship was contested over 10 rounds. 16 different teams, 30 dif"}
{"subject": "math:Tris(bipyridine)ruthenium(II)_chloride", "predicate": "proves", "object": "tris(bipyridine)ruthenium(ii) chloride is the chloride salt coordination complex with the formula [r"}
{"subject": "math:2007_Formula_BMW_UK_season", "predicate": "proves", "object": "the 2007 formula bmw uk season was the fourth and final formula bmw season based in united kingdom w"}
{"subject": "math:Embankment_dam", "predicate": "proves", "object": "an embankment dam is a large artificial dam. it is typically created by the placement and compaction"}
{"subject": "math:HP_39/40_series", "predicate": "proves", "object": "hp\u00a039/40 series are graphing calculators from hewlett-packard, the successors of hp 38g. the series "}
{"subject": "math:Peter_Collins_(broadcaster)", "predicate": "proves", "object": "peter collins () is an irish sportscaster for national broadcaster raidi\u00f3 teilif\u00eds \u00e9ireann (rt\u00e9). he"}
{"subject": "math:Arrows_A22", "predicate": "proves", "object": "the arrows a22 was the car with which the arrows team competed in the 2001 formula one world champio"}
{"subject": "math:Carl_Eckart", "predicate": "proves", "object": "carl henry eckart (may 4, 1902 \u2013 october 23, 1973) was an american physicist, physical oceanographer"}
{"subject": "math:Mayo\u2013Lewis_equation", "predicate": "proves", "object": "the mayo\u2013lewis equation or copolymer equation in polymer chemistry describes the distribution of mon"}
{"subject": "math:Flamengo_(disambiguation)", "predicate": "proves", "object": "cr flamengo is a brazilian football club.\n\nflamengo may also refer to:\n\nsports\n\nbrazil\n associa\u00e7\u00e3o a"}
{"subject": "math:Chebyshev\u2013Markov\u2013Stieltjes_inequalities", "predicate": "proves", "object": "in mathematical analysis, the chebyshev\u2013markov\u2013stieltjes inequalities are inequalities related to th"}
{"subject": "math:Selenite", "predicate": "proves", "object": "selenite may refer to:\n\nsubstances containing selenium\na selenium-containing anion or ionic compound"}
{"subject": "math:1995_Japanese_Formula_3000_Championship", "predicate": "proves", "object": "the 1995 japanese formula 3000 championship was scheduled over 9 rounds and contested over 8 rounds."}
{"subject": "math:1996_Formula_Nippon_Championship", "predicate": "proves", "object": "the 1996 formula nippon championship was the first season under the name formula nippon; before 1996"}
{"subject": "math:John_Lund_(racing_driver)", "predicate": "proves", "object": "john lund (born 12 january 1954) is a brisca formula 1 stock cars racing driver from rimington, lanc"}
{"subject": "math:Singapore_Grand_Prix", "predicate": "proves", "object": "the singapore grand prix is a motor racing event which forms part of the formula one world champions"}
{"subject": "math:1997_Formula_Nippon_Championship", "predicate": "proves", "object": "the 1997 formula nippon championship was contested over 10 rounds. 17 different teams, 37 different "}
{"subject": "math:Albert_Tarantola", "predicate": "proves", "object": "albert tarantola was a spanish-born physicist (barcelona, june 15, 1949 \u2013 december 6, 2009), of the "}
{"subject": "math:1998_Formula_Nippon_Championship", "predicate": "proves", "object": "the 1998 formula nippon championship was scheduled over 10 rounds and  contested over 9 rounds. 14 d"}
{"subject": "math:Coset_construction", "predicate": "proves", "object": "in mathematics, the coset construction (or gko construction) is a method of constructing unitary hig"}
{"subject": "math:Closest_pair_of_points_problem", "predicate": "proves", "object": "the closest pair of points problem or closest pair problem is a problem of computational geometry: g"}
{"subject": "math:1999_Formula_Nippon_Championship", "predicate": "proves", "object": "the 1999 formula nippon championship was  contested over 10 rounds, with 14 different teams, 26 diff"}
{"subject": "math:Gabriel_graph", "predicate": "proves", "object": "in mathematics and computational geometry, the gabriel graph of a set  of points in the euclidean pl"}
{"subject": "math:2000_Formula_Nippon_Championship", "predicate": "proves", "object": "the 2000 formula nippon championship was  contested over 10 rounds. 13 different teams, 21 different"}
{"subject": "math:2001_Formula_Nippon_Championship", "predicate": "proves", "object": "the 2001 formula nippon championship was  contested over 10 rounds. 11 different teams, 23 different"}
{"subject": "math:The_Omnivore's_Dilemma", "predicate": "proves", "object": "the omnivore's dilemma: a natural history of four meals is a nonfiction book written by american aut"}
{"subject": "math:2002_Formula_Nippon_Championship", "predicate": "proves", "object": "the 2002 formula nippon championship was  contested over 10 rounds. 11 different teams, 22 different"}
{"subject": "math:2003_Formula_Nippon_Championship", "predicate": "proves", "object": "the 2003 formula nippon championship was  contested over 10 rounds. 10 different teams and 21 differ"}
{"subject": "math:2004_Formula_Nippon_Championship", "predicate": "proves", "object": "the 2004 formula nippon championship was  contested over 9 rounds, with 8 teams and 17 drivers compe"}
{"subject": "math:Fictional_city", "predicate": "proves", "object": "a fictional city refers to a town, city or village that is invented for fictional stories and does n"}
{"subject": "math:Elementary_proof", "predicate": "proves", "object": "in mathematics, an elementary proof is a mathematical proof that only uses basic techniques. more sp"}
{"subject": "math:Carleman's_inequality", "predicate": "proves", "object": "carleman's inequality is an inequality in mathematics, named after torsten carleman, who proved it i"}
{"subject": "math:Conditional_quantifier", "predicate": "proves", "object": "in logic, a conditional quantifier is a kind of lindstr\u00f6m quantifier (or generalized quantifier) qa "}
{"subject": "math:Whitney_conditions", "predicate": "proves", "object": "in differential topology, a branch of mathematics, the whitney conditions are conditions on a pair o"}
{"subject": "math:Bu_Zhong_Yi_Qi_Tang", "predicate": "proves", "object": "bu zhong yi qi tang () is a chinese classic herbal formula. in japanese kampo, it is known as \"hoch\u016b"}
{"subject": "math:Boltzmann's_entropy_formula", "predicate": "proves", "object": "in statistical mechanics, boltzmann's equation (also known as the boltzmann\u2013planck equation) is a pr"}
{"subject": "math:Spyker_F8-VII", "predicate": "proves", "object": "the spyker f8-vii (subsequently known as the force india vjm01) was a formula one car, constructed b"}
{"subject": "math:Aminomethanol", "predicate": "proves", "object": "aminomethanol or methanolamine is the amino alcohol with the chemical formula of h2nch2oh. with an a"}
{"subject": "math:Visibility_(geometry)", "predicate": "proves", "object": "in geometry, visibility is a mathematical abstraction of the real-life notion of visibility.\n\ngiven "}
{"subject": "math:Williams_FW29", "predicate": "proves", "object": "the williams fw29 was a formula one car, built by the williams f1 team that competed in the 2007 for"}
{"subject": "math:Bers", "predicate": "proves", "object": "bers may refer to\nlipman bers, latvian-american mathematician, or to various mathematical concepts n"}
{"subject": "math:Fujiki_class_C", "predicate": "proves", "object": "in algebraic geometry, a complex manifold is called fujiki class   if it is bimeromorphic to a compa"}
{"subject": "math:Shi_Quan_Da_Bu_Wan", "predicate": "proves", "object": "shi quan da bu wan, also known as shiquan dabu teapills (), is a chinese classic herbal formula. in "}
{"subject": "math:Xiao_Yao_Wan", "predicate": "proves", "object": "xiao yao wan (), also known as free and easy wanderer, is a chinese classic herbal formula. it is co"}
{"subject": "math:Tian_Wang_Bu_Xin_Dan", "predicate": "proves", "object": "tian wang bu xin dan, also known as tianwang buxin teapills (), is a chinese classic herbal formula."}
{"subject": "math:Eagle_Mk1", "predicate": "proves", "object": "the eagle mk1, commonly referred to as the eagle t1g, was a formula one racing car, designed by len "}
{"subject": "math:Philo_line", "predicate": "proves", "object": "in geometry, the philo line is a line segment defined from an angle and a point inside the angle as "}
{"subject": "math:1980_European_Formula_Two_Championship", "predicate": "proves", "object": "the 1980 european formula two season was contested over 12 rounds. toleman driver brian henton clinc"}
{"subject": "math:Friedlander\u2013Iwaniec_theorem", "predicate": "proves", "object": "in analytic number theory the friedlander\u2013iwaniec theorem states that there are infinitely many prim"}
{"subject": "math:Flag_(geometry)", "predicate": "proves", "object": "in (polyhedral) geometry, a flag is a sequence of faces of a polytope, each contained in the next, w"}
{"subject": "math:1979_European_Formula_Two_Championship", "predicate": "proves", "object": "the 1979 european formula two season was contested over 12 rounds. polifac bmw junior driver marc su"}
{"subject": "math:Jackson's_inequality", "predicate": "proves", "object": "in approximation theory, jackson's inequality  is an inequality bounding the value of function's bes"}
{"subject": "math:Jackson's_theorem", "predicate": "proves", "object": "jackson's theorem may refer to:\n\n jackson networks, in queueing theory (after james r. jackson)\n jac"}
{"subject": "math:1766_in_poetry", "predicate": "proves", "object": "nationality words link to articles with information on the nation's poetry or literature (for instan"}
{"subject": "math:1978_European_Formula_Two_Championship", "predicate": "proves", "object": "the 1978 european formula two season was contested over 12 rounds. italian driver bruno giacomelli, "}
{"subject": "math:1950_BRDC_International_Trophy", "predicate": "proves", "object": "the 2nd brdc international trophy meeting \u2013 formally the international daily express trophy \u2013 was he"}
{"subject": "math:Sulfamide", "predicate": "proves", "object": "sulfamide (iupac name: sulfuric diamide) is a compound with the chemical formula  and structure . su"}
{"subject": "math:Formula_1000", "predicate": "proves", "object": "formula 1000 (f1000) is an open wheel class of formula car racing with professional and amateur seri"}
{"subject": "math:Minardi_PS01", "predicate": "proves", "object": "the minardi ps01 (unofficially known as european minardi ps01) was the car with which the minardi te"}
{"subject": "math:General_set_theory", "predicate": "proves", "object": "general set theory (gst) is george boolos's (1998) name for a fragment of the axiomatic set theory z"}
{"subject": "math:Jean-Charles_Faug\u00e8re", "predicate": "proves", "object": "jean-charles faug\u00e8re is the head of the polsys project-team (solvers for algebraic systems and appli"}
{"subject": "math:Schild_equation", "predicate": "proves", "object": "in pharmacology, schild regression analysis, based upon the schild equation, both named for heinz ot"}
{"subject": "math:Federal_Way_High_School", "predicate": "proves", "object": "federal way high school is a public high school located in federal way, washington. it was originall"}
{"subject": "math:2007_Bahrain_Grand_Prix", "predicate": "proves", "object": "the 2007 bahrain grand prix (formally the 2007 formula 1 gulf air bahrain grand prix) was a formula "}
{"subject": "math:2007_Malaysian_Grand_Prix", "predicate": "proves", "object": "the 2007 malaysian grand prix (formally the 2007 formula 1 petronas malaysian grand prix) was a form"}
{"subject": "math:Pauli_equation", "predicate": "proves", "object": "in quantum mechanics, the pauli equation or schr\u00f6dinger\u2013pauli equation is the formulation of the sch"}
{"subject": "math:K\u00e1rm\u00e1n\u2013Howarth_equation", "predicate": "proves", "object": "in isotropic turbulence the k\u00e1rm\u00e1n\u2013howarth equation (after theodore von k\u00e1rm\u00e1n and leslie howarth 19"}
{"subject": "math:Bethel_High_School_(Washington)", "predicate": "proves", "object": "bethel high school is a public high school located in spanaway, washington. it is one of four high s"}
{"subject": "math:1977_European_Formula_Two_Championship", "predicate": "proves", "object": "the 1977 european formula two season was contested over 13 rounds. frenchman ren\u00e9 arnoux was the sea"}
{"subject": "math:1976_European_Formula_Two_Championship", "predicate": "proves", "object": "the 1976 european formula two season was contested over 12 rounds. \u00e9quipe elf switzerland driver jea"}
{"subject": "math:Calc", "predicate": "proves", "object": "calc or calc may refer to:\n\n short for calculation, calculator, or calculus\n windows calculator, als"}
{"subject": "math:Jonathan_De_Castro", "predicate": "proves", "object": "jonathan raphael de castro walther (born february 11, 1988, in santo domingo, dominican republic) is"}
{"subject": "math:Gauss\u2013Lucas_theorem", "predicate": "proves", "object": "in complex analysis, a branch of mathematics, the gauss\u2013lucas theorem gives a geometric relation bet"}
{"subject": "math:Tesseractic_honeycomb", "predicate": "proves", "object": "in four-dimensional euclidean geometry, the tesseractic honeycomb is one of the three regular space-"}
{"subject": "math:Pinwheel_tiling", "predicate": "proves", "object": "in geometry, pinwheel tilings are non-periodic tilings defined by charles radin and based on a const"}
{"subject": "math:Stefan_Wilson", "predicate": "proves", "object": "stefan james wilson (born 20 september 1989 in sheffield, uk) is a british racing driver. he is the "}
{"subject": "math:Ville_R\u00e4ikk\u00f6nen", "predicate": "proves", "object": "ville r\u00e4ikk\u00f6nen (born 14 february 1972 in tuusula) is a finnish former biathlete. he is the second c"}
{"subject": "math:Coclass", "predicate": "proves", "object": "in mathematics, the coclass of a finite p-group of order pn is n\u00a0\u2212\u00a0c, where c is the class.\n\nthe coc"}
{"subject": "math:Tyrrell_022", "predicate": "proves", "object": "the tyrrell 022 was the car with which the tyrrell team competed in the 1994 formula one world champ"}
{"subject": "math:Williams_FW16", "predicate": "proves", "object": "the williams fw16 is a formula one car designed by adrian newey for the british williams team. the f"}
{"subject": "math:McLaren_MP4/9", "predicate": "proves", "object": "the mclaren mp4/9 was a formula one car designed by neil oatley and used by the mclaren team in the "}
{"subject": "math:Footwork_FA15", "predicate": "proves", "object": "the footwork fa15 was a formula one car with which the footwork team competed in the 1994 formula on"}
{"subject": "math:Lotus_109", "predicate": "proves", "object": "the lotus 109 was a formula one car used by team lotus in the latter part of the 1994 formula one se"}
{"subject": "math:Jordan_194", "predicate": "proves", "object": "the jordan 194 was a formula one car for the 1994 season. the number 14 seat was taken by rubens bar"}
{"subject": "math:Larrousse_LH94", "predicate": "proves", "object": "the larrousse lh94 was the formula one car built and raced by the larrousse team for the 1994 formul"}
{"subject": "math:Minardi_M193", "predicate": "proves", "object": "the minardi m193 was a formula one car designed by aldo costa and gustav brunner and built by minard"}
{"subject": "math:Minardi_M194", "predicate": "proves", "object": "the minardi m194 was a formula one car designed by aldo costa and gustav brunner and built by minard"}
{"subject": "math:Ligier_JS39", "predicate": "proves", "object": "the ligier js39 was a formula one car used by the ligier team during the 1993 and 1994 formula one s"}
{"subject": "math:Sauber_C13", "predicate": "proves", "object": "the sauber c13 was a formula one car. it was designed by andr\u00e9 de cortanze and leo ress for use by t"}
{"subject": "math:Simtek_S941", "predicate": "proves", "object": "the simtek s941 is a formula one car, designed by nick wirth and paul crooks for the simtek team, an"}
{"subject": "math:Pacific_PR01", "predicate": "proves", "object": "the pacific pr01 is a formula one car, designed by paul brown for the 1993 season. however, due to f"}
{"subject": "math:16-cell_honeycomb", "predicate": "proves", "object": "in four-dimensional euclidean geometry, the 16-cell honeycomb is one of the three regular space-fill"}
{"subject": "math:Benzisothiazolinone", "predicate": "proves", "object": "benzisothiazolinone (bit) is an organic compound with the formula c6h4sn(h)co.  a white solid, it is"}
{"subject": "math:Paley\u2013Zygmund_inequality", "predicate": "proves", "object": "in mathematics, the paley\u2013zygmund inequality bounds the\nprobability that a positive random variable "}
{"subject": "math:1975_European_Formula_Two_Championship", "predicate": "proves", "object": "the 1975 european formula two season was contested over 14 rounds. automobiles martini driver jacque"}
{"subject": "math:Hall's_universal_group", "predicate": "proves", "object": "in algebra, hall's universal group is\na  countable locally finite group, say u, which is uniquely \nc"}
{"subject": "math:Aboriginal_title", "predicate": "proves", "object": "aboriginal title is a common law doctrine that the land rights of indigenous peoples to customary te"}
{"subject": "math:Order-5_square_tiling", "predicate": "proves", "object": "in geometry, the order-5 square tiling is a regular tiling of the hyperbolic plane. it has schl\u00e4fli "}
{"subject": "math:Order-4_pentagonal_tiling", "predicate": "proves", "object": "in geometry, the order-4 pentagonal tiling is a regular tiling of the hyperbolic plane. it has schl\u00e4"}
{"subject": "math:Truncated_heptagonal_tiling", "predicate": "proves", "object": "in geometry, the truncated heptagonal tiling is a semiregular tiling of the hyperbolic plane. there "}
{"subject": "math:Rhombitriheptagonal_tiling", "predicate": "proves", "object": "in geometry, the rhombitriheptagonal tiling is a semiregular tiling of the \nhyperbolic plane. at eac"}
{"subject": "math:Snub_triheptagonal_tiling", "predicate": "proves", "object": "in geometry, the order-3 snub heptagonal tiling is a semiregular tiling of the hyperbolic plane. the"}
{"subject": "math:Truncated_order-7_triangular_tiling", "predicate": "proves", "object": "in geometry, the order-7 truncated triangular tiling, sometimes called the hyperbolic soccerball, is"}
{"subject": "math:Nagarahavu_(2002_film)", "predicate": "proves", "object": "nagarahavu () is a 2002 indian kannada-language psychological thriller film starring upendra and jyo"}
{"subject": "math:Frank_Coppuck", "predicate": "proves", "object": "frank coppuck is a british engineer and racing car designer, who helped design the pacific pr01 and "}
{"subject": "math:Andr\u00e9_de_Cortanze", "predicate": "proves", "object": "andr\u00e9 de cortanze (born 30 march 1941) is a french motorsport engineer.\n\ncareer\nde cortanze graduate"}
{"subject": "math:Nice_Guys_Finish_First", "predicate": "proves", "object": "nice guys finish first (bbc horizon television series) is a 1986 documentary by richard dawkins whic"}
{"subject": "math:Supersingular_K3_surface", "predicate": "proves", "object": "in algebraic geometry, a supersingular k3 surface is a  k3 surface over a field k of characteristic "}
{"subject": "math:Isogonal", "predicate": "proves", "object": "isogonal, a mathematical term meaning \"having similar angles\", may refer to:\n\nisogonal figure or pol"}
{"subject": "math:Snub_(geometry)", "predicate": "proves", "object": "in geometry, a snub is an operation applied to a polyhedron. the term originates from kepler's names"}
{"subject": "math:1974_European_Formula_Two_Championship", "predicate": "proves", "object": "the 1974 european formula two season was contested over 10 rounds and had frenchman patrick depaille"}
{"subject": "math:Tantalum_hafnium_carbide", "predicate": "proves", "object": "tantalum hafnium carbide is a refractory chemical compound with a general formula , which can be con"}
{"subject": "math:Calcium_chlorate", "predicate": "proves", "object": "calcium chlorate is the calcium salt of chloric acid, with the chemical formula ca(clo3)2. like othe"}
{"subject": "math:Cobalt(II)_nitrate", "predicate": "proves", "object": "cobalt nitrate is the inorganic compound with the formula co(no3)2.xh2o. it is cobalt(ii)'s salt.  t"}
{"subject": "math:Ammonium_iron(II)_sulfate", "predicate": "proves", "object": "ammonium iron(ii) sulfate, or mohr's salt, is the inorganic compound with the formula (nh4)2fe(so4)2"}
{"subject": "math:1966_BRDC_International_Trophy", "predicate": "proves", "object": "the 18th brdc international trophy was a motor race, run to formula one rules, held on 14 may 1966 a"}
{"subject": "math:Abhyankar's_lemma", "predicate": "proves", "object": "in mathematics, abhyankar's lemma (named after shreeram shankar abhyankar) allows one to kill tame r"}
{"subject": "math:Tonary", "predicate": "proves", "object": "a tonary is a liturgical book in the western christian church which lists by incipit various items o"}
{"subject": "math:Pushforward", "predicate": "proves", "object": "the notion of pushforward in mathematics is \"dual\" to the notion of pullback, and can mean a number "}
{"subject": "math:1,8-Octanediol", "predicate": "proves", "object": "1,8-octanediol, also known as octamethylene glycol, is a diol with the molecular formula ho(ch)oh.  "}
{"subject": "math:Formula_One_Championship_Edition", "predicate": "proves", "object": "formula one championship edition is a racing video game developed by studio liverpool and published "}
{"subject": "math:Neptunite", "predicate": "proves", "object": "neptunite is a silicate mineral with the formula kna2li(fe2+, mn2+)2ti2si8o24. with increasing manga"}
{"subject": "math:Thaumasite", "predicate": "proves", "object": "thaumasite is a calcium silicate mineral, containing si atoms in unusual octahedral configuration, w"}
{"subject": "math:PRSV", "predicate": "proves", "object": "prsv may refer to:\n\n the plant pathogenic virus papaya ringspot virus\n in thermodynamics, the peng\u2013r"}
{"subject": "math:Riemann_problem", "predicate": "proves", "object": "a riemann problem, named after bernhard riemann, is a specific initial value problem composed of a  "}
{"subject": "math:Armstrong's_acid", "predicate": "proves", "object": "armstrong's acid (naphthalene-1,5-disulfonic acid) is a fluorescent organic compound with the formul"}
{"subject": "math:Algebraic_modeling_language", "predicate": "proves", "object": "algebraic modeling languages (aml) are high-level computer programming languages for describing and "}
{"subject": "math:Ammonium_cerium(IV)_sulfate", "predicate": "proves", "object": "ammonium cerium(iv) sulfate is an inorganic compound with the formula (nh4)4ce(so4)4\u00b72h2o. it is an "}
{"subject": "math:Simtek_S951", "predicate": "proves", "object": "the simtek s951 was a formula one car designed by  nick wirth and paul crooks and used by simtek for"}
{"subject": "math:Jordan_195", "predicate": "proves", "object": "the jordan 195 was the formula one car with which the jordan team competed in the 1995 formula one w"}
{"subject": "math:Pacific_PR02", "predicate": "proves", "object": "the pacific pr02 was a formula one car designed by frank coppuck for use by the pacific team in the "}
{"subject": "math:Forti_FG01", "predicate": "proves", "object": "the forti fg01, also designated forti fg01-95, was a formula one car for the 1995 season and was the"}
{"subject": "math:Minardi_M195", "predicate": "proves", "object": "the minardi m195 was a formula one car designed by aldo costa for the minardi team. the original m19"}
{"subject": "math:Ligier_JS41", "predicate": "proves", "object": "the ligier js41 was a formula one car designed by frank dernie for use by the ligier team in the 199"}
{"subject": "math:Sauber_C14", "predicate": "proves", "object": "the sauber c14 was the formula one car with which the sauber team competed in the 1995 formula one w"}
{"subject": "math:Abhyankar\u2013Moh_theorem", "predicate": "proves", "object": "in mathematics, the abhyankar\u2013moh theorem states that if  is a complex line in the complex affine pl"}
{"subject": "math:Data-dependent_jitter", "predicate": "proves", "object": "data-dependent jitter (ddj) is a specific class of timing jitter. in particular, it is a form of det"}
{"subject": "math:1973_European_Formula_Two_Championship", "predicate": "proves", "object": "the 1973 european formula two season was contested over 17 rounds. stp march racing team driver jean"}
{"subject": "math:Renault_RS01", "predicate": "proves", "object": "the renault rs01 was the first formula one car to be powered by a turbocharged engine. it was also t"}
{"subject": "math:Renault_RE30", "predicate": "proves", "object": "the renault re30 was a formula one car designed by bernard dudot and michel t\u00eatu for use by the rena"}
{"subject": "math:Renault_RE40", "predicate": "proves", "object": "the renault re40 is a formula one racing car. it was designed by michel t\u00eatu \u2014 under the direction o"}
{"subject": "math:Completion_of_a_ring", "predicate": "proves", "object": "in abstract algebra, a completion is any of several related functors on rings and modules that resul"}
{"subject": "math:The_Secret_Life_of_Walter_Mitty_(1947_film)", "predicate": "proves", "object": "the secret life of walter mitty is a 1947 american technicolor comedy film, loosely based on the 193"}
{"subject": "math:Integral_element", "predicate": "proves", "object": "in commutative algebra, an element b of a commutative ring b is said to be integral over a, a subrin"}
{"subject": "math:History_of_manifolds_and_varieties", "predicate": "proves", "object": "the study of manifolds combines many important areas of mathematics: it generalizes concepts such as"}
{"subject": "math:Polyvinyl_nitrate", "predicate": "proves", "object": "polyvinyl nitrate (abbreviated: pvn) is a high-energy polymer with the idealized formula of [ch2ch(o"}
{"subject": "math:24-cell_honeycomb", "predicate": "proves", "object": "in four-dimensional euclidean geometry, the 24-cell honeycomb, or icositetrachoric honeycomb is a re"}
{"subject": "math:Liouville's_theorem_(differential_algebra)", "predicate": "proves", "object": "in mathematics, liouville's theorem, originally formulated by joseph liouville in 1833 to 1841, plac"}
{"subject": "math:Cylindroid", "predicate": "proves", "object": "cylindroid may refer to:\nelliptic cylinder, a cylinder with an ellipse as its cross-section\nan adjec"}
{"subject": "math:Beatty_sequence", "predicate": "proves", "object": "in mathematics, a beatty sequence (or homogeneous beatty sequence) is the sequence of integers found"}
{"subject": "math:Nagel_point", "predicate": "proves", "object": "in geometry, the nagel point (named for christian heinrich von nagel) is a triangle center, one of t"}
{"subject": "math:Slickenside", "predicate": "proves", "object": "in geology, a slickenside is a smoothly polished surface caused by frictional movement between rocks"}
{"subject": "math:Differential_graded_category", "predicate": "proves", "object": "in mathematics, especially homological algebra, a differential graded category, often shortened to d"}
{"subject": "math:Isotomic_conjugate", "predicate": "proves", "object": "in geometry, the isotomic conjugate of a point  with respect to a triangle  is another point, define"}
{"subject": "math:G\u00f6mb\u00f6c", "predicate": "proves", "object": "the g\u00f6mb\u00f6c ( ) is the first known physical example of a class of convex three-dimensional homogeneou"}
{"subject": "math:Toro_Rosso_STR2", "predicate": "proves", "object": "the toro rosso str2 is the car with which the scuderia toro rosso team competed in the  formula one "}
{"subject": "math:Formula_750", "predicate": "proves", "object": "formula 750 was a fim motorcycle road racing series based on a 750 cubic centimeter engine capacity."}
{"subject": "math:Algebraic_differential_equation", "predicate": "proves", "object": "in mathematics, an algebraic differential equation is a differential equation that can be expressed "}
{"subject": "math:Boyle_temperature", "predicate": "proves", "object": "the boyle temperature is formally defined as the temperature for which the second virial coefficient"}
{"subject": "math:Spieker_circle", "predicate": "proves", "object": "in geometry, the incircle of the medial triangle of a triangle is the spieker circle, named after 19"}
{"subject": "math:Flux-corrected_transport", "predicate": "proves", "object": "flux-corrected transport (fct) is a conservative shock-capturing scheme for solving euler equations "}
{"subject": "math:Lax\u2013Wendroff_method", "predicate": "proves", "object": "the lax\u2013wendroff method, named after peter lax and burton wendroff, is a numerical method for the so"}
{"subject": "math:Frank_H._Fleer", "predicate": "proves", "object": "frank henry fleer (1860november 1, 1921) was an american confectioner who is thought to have develop"}
{"subject": "math:List_of_quantum-mechanical_systems_with_analytical", "predicate": "proves", "object": "much insight in quantum mechanics can be gained from understanding the closed-form solutions to the "}
{"subject": "math:Dima_Grigoriev", "predicate": "proves", "object": "dima grigoriev (dmitry grigoryev) (born 10 may 1954) is a mathematician. his research interests incl"}
{"subject": "math:2-Methyl-2-nitrosopropane", "predicate": "proves", "object": "2-methyl-2-nitrosopropane (mnp or t-nitrosobutane) is the organic compound with the formula (ch3)3cn"}
{"subject": "math:Ideal_sheaf", "predicate": "proves", "object": "in algebraic geometry and other areas of mathematics, an ideal sheaf (or sheaf of ideals) is the glo"}
{"subject": "math:Kap\u0142a\u0144ski", "predicate": "proves", "object": "people named kaplansky ( (feminine kap\u0142a\u0144ska), , also kaplanski (feminine kaplanska)) include:\n\n abr"}
{"subject": "math:Walter_Manifold", "predicate": "proves", "object": "sir walter synnot manifold (30 march 1849 \u2013 15 november 1928) was an australian grazier and politici"}
{"subject": "math:Chill_(casting)", "predicate": "proves", "object": "a chill is an object used to promote solidification in a specific portion of a metal casting mold. n"}
{"subject": "math:Algebraic_cycle", "predicate": "proves", "object": "in mathematics, an algebraic cycle on an algebraic variety v is a formal linear combination of subva"}
{"subject": "math:Dicamba", "predicate": "proves", "object": "dicamba (3,6-dichloro-2-methoxybenzoic acid) is a broad-spectrum herbicide first registered in 1967."}
{"subject": "math:Th\u00e9venin", "predicate": "proves", "object": "th\u00e9venin is a surname. notable people with the surname include:\n\ncharles th\u00e9venin (1764\u20131838), neocl"}
{"subject": "math:Eroto-comatose_lucidity", "predicate": "proves", "object": "eroto-comatose lucidity is a technique of sex magic known best by its formulation by english author "}
{"subject": "math:Helioplex", "predicate": "proves", "object": "helioplex is a formulation of broad-spectrum ultraviolet (uva and uvb) skin protection containing av"}
{"subject": "math:Kaplansky_density_theorem", "predicate": "proves", "object": "in the theory of von neumann algebras, the kaplansky density theorem, due to irving kaplansky, is a "}
{"subject": "math:History_of_Christian_theology", "predicate": "proves", "object": "the doctrine of the trinity, considered the core of christian theology by trinitarians, is the resul"}
{"subject": "math:Benzotrichloride", "predicate": "proves", "object": "benzotrichloride (btc), also known as \u03b1,\u03b1,\u03b1-trichlorotoluene, phenyl chloroform or (trichloromethyl)"}
{"subject": "math:2007_in_Irish_music", "predicate": "proves", "object": "this is a summary of the year 2007 in the irish music industry. 2007 was described as \"an annus horr"}
{"subject": "math:Ethyl_acrylate", "predicate": "proves", "object": "ethyl acrylate is an organic compound with the formula ch2chco2ch2ch3.  it is the ethyl ester of acr"}
{"subject": "math:Fakhrul_Mulk", "predicate": "proves", "object": "nizamuddin fakhrul mulk () was an islamic nobleman of the 11th and 12th century.\n\nhis court included"}
{"subject": "math:Ministry_of_Agriculture_and_Farmers'_Welfare", "predicate": "proves", "object": "the ministry of agriculture & farmers welfare (hindi: krishi avam kisaan kalyaan mantralaya), former"}
{"subject": "math:Kamui_Kobayashi", "predicate": "proves", "object": "is a japanese racing driver.  he competes in the fia world endurance championship for toyota gazoo r"}
{"subject": "math:Shallow_water", "predicate": "proves", "object": "shallow water may refer to:\n\n shallow water (album)\n shallow water, kansas, unincorporated community"}
{"subject": "math:Civil_Service_Bureau", "predicate": "proves", "object": "the civil service bureau (csb) is one of the 15 policy bureaux under the government secretariat of t"}
{"subject": "math:Compressibility_equation", "predicate": "proves", "object": "in statistical mechanics and thermodynamics the compressibility equation refers to an equation which"}
{"subject": "math:Self-diffusion", "predicate": "proves", "object": "according to iupac definition, self-diffusion coefficient is the diffusion coefficient  of species  "}
{"subject": "math:History_of_algebra", "predicate": "proves", "object": "algebra can essentially be considered as doing computations similar to those of arithmetic but with "}
{"subject": "math:Ensemble_Kalman_filter", "predicate": "proves", "object": "the ensemble kalman filter (enkf) is a recursive filter suitable for problems with a large number of"}
{"subject": "math:The_Twin_Dilemma_(novel)", "predicate": "proves", "object": "the twin dilemma is the 63rd volume in the nancy drew mystery stories series. it was first published"}
{"subject": "math:Artin\u2013Rees_lemma", "predicate": "proves", "object": "in mathematics, the artin\u2013rees lemma is a basic result about modules over a noetherian ring, along w"}
{"subject": "math:Laurent_Redon", "predicate": "proves", "object": "laurent redon (born 5 august 1973) is a former race car driver from loire, france.\n\nredon began his "}
{"subject": "math:Dichlorosilane", "predicate": "proves", "object": "dichlorosilane, or dcs as it is commonly known, is a chemical compound with the formula h2sicl2.  in"}
{"subject": "math:Titanium_isopropoxide", "predicate": "proves", "object": "titanium isopropoxide, also commonly referred to as titanium tetraisopropoxide or ttip, is a chemica"}
{"subject": "math:Acid_fuchsin", "predicate": "proves", "object": "acid fuchsin or fuchsine acid, (also called acid violet 19 and c.i. 42685) is an acidic magenta dye "}
{"subject": "math:Footwork_Arrows", "predicate": "proves", "object": "footwork arrows was a british formula one motor racing team which competed from 1991 to 1996. japane"}
{"subject": "math:1935_Grand_Prix_season", "predicate": "proves", "object": "the 1935 grand prix season was the second year of the new 750\u00a0kg formula. the success of the previou"}
{"subject": "math:Base_(geometry)", "predicate": "proves", "object": "in geometry, a base is a side of a polygon or a face of a polyhedron, particularly one oriented perp"}
{"subject": "math:NONOate", "predicate": "proves", "object": "in chemistry, a nonoate is a compound having the chemical formula r1r2n\u2212(no\u2212)\u2212n=o, where r1 and r2 a"}
{"subject": "math:Bornology", "predicate": "proves", "object": "in mathematics, especially functional analysis, a bornology on a set x is a collection of subsets of"}
{"subject": "math:Box_product", "predicate": "proves", "object": "box product may refer to:\n\n the scalar triple product of three vectors\n a cartesian product of topol"}
{"subject": "math:1972_European_Formula_Two_Championship", "predicate": "proves", "object": "the 1972 european formula two season was contested over 14 rounds. british mike hailwood, a previous"}
{"subject": "math:Street_stocker", "predicate": "proves", "object": "a street stocker, is a production based speedway car formula raced in every state in australia. most"}
{"subject": "math:Spanning", "predicate": "proves", "object": "spanning may refer to:\n\n disc spanning, a feature of cd and dvd burning software\n file spanning, the"}
{"subject": "math:Ski_(drink)", "predicate": "proves", "object": "ski is a citrus soda made from real orange and lemon juice. it is manufactured by the double cola co"}
{"subject": "math:Hollow_(Pantera_song)", "predicate": "proves", "object": "\"hollow\" is a power ballad by american heavy metal band pantera from their 1992 album vulgar display"}
{"subject": "math:Franco_P._Preparata", "predicate": "proves", "object": "franco p. preparata is a computer scientist, the an wang professor, emeritus, of computer science at"}
{"subject": "math:Atomic_carbon", "predicate": "proves", "object": "atomic carbon, systematically named carbon and \u03bb0-methane, is a colourless gaseous inorganic chemica"}
{"subject": "math:Higgs_prime", "predicate": "proves", "object": "a higgs prime, named after denis higgs, is a prime number with a totient (one less than the prime) t"}
{"subject": "math:Joan_Vaccaro", "predicate": "proves", "object": "joan vaccaro is a physicist at griffith university and a former student of david pegg. her work in q"}
{"subject": "math:Retention_uniformity", "predicate": "proves", "object": "retention uniformity, or ru, is a concept in thin layer chromatography. it is designed for the quant"}
{"subject": "math:Retention_distance", "predicate": "proves", "object": "retention distance, or rd, is a concept in thin layer chromatography, designed for quantitative meas"}
{"subject": "math:Handshaking_lemma", "predicate": "proves", "object": "in graph theory, a branch of mathematics, the handshaking lemma is the statement that, in every fini"}
{"subject": "math:Circumconic_and_inconic", "predicate": "proves", "object": "in euclidean geometry, a circumconic is a conic section that passes through the three vertices of a "}
{"subject": "math:Morse\u2013Palais_lemma", "predicate": "proves", "object": "in mathematics, the morse\u2013palais lemma is a result in the calculus of variations and theory of hilbe"}
{"subject": "math:Cyber_Spin", "predicate": "proves", "object": "cyber spin is a futuristic racing video game that was released in 1992 to japan and north america fo"}
{"subject": "math:Sondheim_vor_der_Rh\u00f6n", "predicate": "proves", "object": "sondheim vor der rh\u00f6n is a municipality in the district rh\u00f6n-grabfeld, bavaria, germany. it is admin"}
{"subject": "math:Skew_apeirohedron", "predicate": "proves", "object": "in geometry, a skew apeirohedron is an infinite skew polyhedron consisting of nonplanar faces or non"}
{"subject": "math:Separation_property", "predicate": "proves", "object": "separation property may refer to:\n\n separation property (finance), a concept used to simplify the pr"}
{"subject": "math:N._David_Mermin", "predicate": "proves", "object": "nathaniel david mermin (; born 30 march 1935) is a solid-state physicist at cornell university best "}
{"subject": "math:Laurence_Chisholm_Young", "predicate": "proves", "object": "laurence chisholm young (14 july 1905 \u2013 24 december 2000) was a british mathematician known for his "}
{"subject": "math:Bedford_Autodrome", "predicate": "proves", "object": "bedford autodrome is an autodrome based on the former site of rae bedford, in the village of thurlei"}
{"subject": "math:Quadratics", "predicate": "proves", "object": "quadratics is a six-part canadian instructional television series produced by tvontario in 1993. the"}
{"subject": "math:NH_3", "predicate": "proves", "object": "nh3, nh-3, nh or nh 3 may refer to:\n\n ammonia (chemical formula nh)\n national highway 3 (india)\n nat"}
{"subject": "math:Exact_couple", "predicate": "proves", "object": "in mathematics, an exact couple, due to , is a general source of spectral sequences. it is common es"}
{"subject": "math:Edilemma", "predicate": "proves", "object": "edilemma is a monotypic genus of brazilian jumping spiders containing the single species, edilemma f"}
{"subject": "math:Hiroshi_Kazato", "predicate": "proves", "object": "was a japanese racecar driver. kazato started his career at age 19. he took part in the 1971 can-am "}
{"subject": "math:Darwin\u2013Radau_equation", "predicate": "proves", "object": "in astrophysics, the darwin\u2013radau equation (named after rodolphe radau and charles galton darwin) gi"}
{"subject": "math:Fermi_coordinates", "predicate": "proves", "object": "in the mathematical theory of riemannian geometry, there are two uses of the term fermi coordinates."}
{"subject": "math:Gauss\u2013Codazzi_equations", "predicate": "proves", "object": "in riemannian geometry and pseudo-riemannian geometry, the gauss\u2013codazzi equations (also called the "}
{"subject": "math:1970_European_Formula_Two_Championship", "predicate": "proves", "object": "the 1970 european formula two season was contested over 8 rounds. tecno racing team driver clay rega"}
{"subject": "math:William_Fulton_(mathematician)", "predicate": "proves", "object": "william edgar fulton (born august 29, 1939) is an american mathematician, specializing in algebraic "}
{"subject": "math:Nissonite", "predicate": "proves", "object": "nissonite is a very rare copper phosphate mineral with formula: cu2mg2(po4)2(oh)2\u00b75h2o. it crystalli"}
{"subject": "math:Hilbert_projection_theorem", "predicate": "proves", "object": "in mathematics, the hilbert projection theorem is a famous result of convex analysis that says that "}
{"subject": "math:Disodium_hydrogen_phosphite", "predicate": "proves", "object": "disodium hydrogen phosphite is the name for inorganic compounds with the formula na2hpo3\u2022(h2o)x.  th"}
{"subject": "math:Disodium_phosphate", "predicate": "proves", "object": "disodium phosphate (dsp), or disodium hydrogen phosphate, or sodium phosphate dibasic, is the inorga"}
{"subject": "math:Strip_algebra", "predicate": "proves", "object": "strip algebra is a set of elements and operators for the description of carbon nanotube structures, "}
{"subject": "math:1971_European_Formula_Two_Championship", "predicate": "proves", "object": "the 1971 european formula two season was contested over 11 rounds. march engineering driver ronnie p"}
{"subject": "math:Lead(IV)_sulfide", "predicate": "proves", "object": "lead(iv) sulfide is a chemical compound with the formula pbs2. this material is generated by the rea"}
{"subject": "math:N-Butylamine", "predicate": "proves", "object": "n-butylamine is an organic compound (specifically, an amine) with the formula ch3(ch2)3nh2. this col"}
{"subject": "math:Quinuclidine", "predicate": "proves", "object": "quinuclidine is an organic compound with the formula .  it is a bicyclic amine that can be viewed as"}
{"subject": "math:DJ_Darkzone", "predicate": "proves", "object": "dj darkzone (born michael baur) is a german underground electronic music producer and dj.\n\ncareer\nba"}
{"subject": "math:Rust-Oleum", "predicate": "proves", "object": "rust-oleum is a manufacturer of protective paints and coatings for home and industrial use. it was f"}
{"subject": "math:Young_measure", "predicate": "proves", "object": "in mathematical analysis, a young measure is a parameterized measure that is associated with certain"}
{"subject": "math:Deutsche_Messe", "predicate": "proves", "object": "deutsche messe (\"german mass\"; full title: , \"german mass and order of worship\") was published by ma"}
{"subject": "math:Coarse_topology", "predicate": "proves", "object": "in mathematics, coarse topology is a term in comparison of topologies which specifies the partial or"}
{"subject": "math:4-Bromoanisole", "predicate": "proves", "object": "4-bromoanisole is the organobromine compound with the formula ch3oc6h4br.  it is colorless liquid wi"}
{"subject": "math:TOMNET", "predicate": "proves", "object": "the tomnet optimization environment is a platform for solving applied optimization problems in micro"}
{"subject": "math:Tanaka's_formula", "predicate": "proves", "object": "in the stochastic calculus, tanaka's formula for the brownian motion states that\n\nwhere bt is the st"}
{"subject": "math:Minimal_polynomial_(linear_algebra)", "predicate": "proves", "object": "in linear algebra, the minimal polynomial  of an  matrix  over a field  is the monic polynomial  ove"}
{"subject": "math:Periodic_boundary_conditions", "predicate": "proves", "object": "periodic boundary conditions (pbcs) are a set of boundary conditions which are often chosen for appr"}
{"subject": "math:Trichlorobenzene", "predicate": "proves", "object": "trichlorobenzene (tcb) may refer to any of three isomeric chlorinated derivatives of benzene with th"}
{"subject": "math:Tim_Bridgman", "predicate": "proves", "object": "timothy james bridgman (born 24 may 1985) is a british race car driver from england.\n\nbridgman was b"}
{"subject": "math:Kinetic_logic", "predicate": "proves", "object": "kinetic logic, developed by ren\u00e9 thomas, is a qualitative modeling approach feasible to model impact"}
{"subject": "math:Ada_Dietz", "predicate": "proves", "object": "ada k. dietz (october 7, 1888 \u2013 january 12, 1981) was an american weaver best known for her 1949 mon"}
{"subject": "math:Open_Source_Physics", "predicate": "proves", "object": "open source physics, or osp, is a project sponsored by the national science foundation and davidson "}
{"subject": "math:1969_European_Formula_Two_Championship", "predicate": "proves", "object": "the 1969 european formula two season was contested over 7 rounds. matra international driver johnny "}
{"subject": "math:Benjamin_Kagan", "predicate": "proves", "object": "veniamin fyodorovich kagan (; 10 march 1869 \u2013 8 may 1953) was a russian and soviet mathematician and"}
{"subject": "math:Decathlon_scoring_tables", "predicate": "proves", "object": "the scoring tables for the decathlon have undergone continual evolution since their inception about "}
{"subject": "math:Tennyson_High_School", "predicate": "proves", "object": "tennyson high school is a public high school in hayward, california, united states, formed in 1957.\n"}
{"subject": "math:Parkland_formula", "predicate": "proves", "object": "the parkland formula, also known as baxter formula, is a burn formula developed by charles r. baxter"}
{"subject": "math:Kapustinskii_equation", "predicate": "proves", "object": "the kapustinskii equation calculates the lattice energy ul for an ionic crystal, which is experiment"}
{"subject": "math:Structure_editor", "predicate": "proves", "object": "a structure editor, also structured editor or projectional editor, is any document editor that is co"}
{"subject": "math:Photocatalytic_concrete", "predicate": "proves", "object": "photo-catalytic concrete is a formulation of concrete used as pavers and other structural concrete t"}
{"subject": "math:Stamulumab", "predicate": "proves", "object": "stamulumab (myo-029) is an experimental myostatin inhibiting drug developed by wyeth pharmaceuticals"}
{"subject": "math:IQC", "predicate": "proves", "object": "iqc may refer to:\n\n institute for quantum computing, university of waterloo, waterloo, ontario, cana"}
{"subject": "math:Riemann\u2013Hilbert_problem", "predicate": "proves", "object": "in mathematics, riemann\u2013hilbert problems, named after bernhard riemann and david hilbert, are a clas"}
{"subject": "math:Bing_metrization_theorem", "predicate": "proves", "object": "in topology, the bing metrization theorem, named after r. h. bing, characterizes when a topological "}
{"subject": "math:1968_European_Formula_Two_Championship", "predicate": "proves", "object": "the 1968 european formula two season was contested over nine rounds. jean pierre beltoise won the ch"}
{"subject": "math:Goldbach's_comet", "predicate": "proves", "object": "goldbach's comet is the name given to a plot of  the function , the so-called goldbach function .  t"}
{"subject": "math:Virginia_Ragsdale", "predicate": "proves", "object": "virginia ragsdale (december 13, 1870 \u2013 june 4, 1945) was a teacher and mathematician specializing in"}
{"subject": "math:Laser_power_scaling", "predicate": "proves", "object": "power scaling of a laser is increasing its output power without changing the geometry, shape, or pri"}
{"subject": "math:But/Aish\u014d", "predicate": "proves", "object": "but / aishou (\u611b\u8a3c / love proof) is singer-songwriter koda kumi's 35th single and was released on marc"}
{"subject": "math:2007_BCS_computer_rankings", "predicate": "proves", "object": "in american college football, the 2007 bcs computer rankings are a part of the bowl championship ser"}
{"subject": "math:SHV_connector", "predicate": "proves", "object": "the shv (safe high voltage) connector is a type of rf connector used for terminating a coaxial cable"}
{"subject": "math:Back_to_the_World_(Tevin_Campbell_album)", "predicate": "proves", "object": "back to the world is the third studio album by r&b singer tevin campbell. it was released by qwest r"}
{"subject": "math:George_Glauberman", "predicate": "proves", "object": "george isaac glauberman (born 1941) is a mathematician at the university of chicago who works on fin"}
{"subject": "math:Abel's_summation_formula", "predicate": "proves", "object": "in mathematics, abel's summation formula, introduced by niels henrik abel, is intensively used in an"}
{"subject": "math:Commutant_lifting_theorem", "predicate": "proves", "object": "in operator theory, the commutant lifting theorem, due to sz.-nagy and foias, is a powerful theorem "}
{"subject": "math:Chlorine_monoxide", "predicate": "proves", "object": "chlorine monoxide is a chemical radical with the chemical formula clo\u2022. it plays an important role i"}
{"subject": "math:Sz.-Nagy's_dilation_theorem", "predicate": "proves", "object": "the sz.-nagy dilation theorem (proved by b\u00e9la sz\u0151kefalvi-nagy) states that every contraction  on a h"}
{"subject": "math:Kuratowski's_free_set_theorem", "predicate": "proves", "object": "kuratowski's free set theorem, named after kazimierz kuratowski, is a result of set theory, an area "}
{"subject": "math:Lake_Wales_Ridge_State_Forest", "predicate": "proves", "object": "the lake wales ridge state forest is in the u.s. state of florida. the  forest is located on the lak"}
{"subject": "math:Numerical_continuation", "predicate": "proves", "object": "numerical continuation is a method of computing approximate solutions of a system of parameterized n"}
{"subject": "math:Congruence_lattice_problem", "predicate": "proves", "object": "in mathematics, the congruence lattice problem asks whether every algebraic distributive lattice is "}
{"subject": "math:Umbilical_point", "predicate": "proves", "object": "in the differential geometry of surfaces in three dimensions, umbilics or umbilical points are point"}
{"subject": "math:Z*_theorem", "predicate": "proves", "object": "in mathematics, george glauberman's z* theorem is stated as follows:\n\n z* theorem: let g be a finite"}
{"subject": "math:Maximal_semilattice_quotient", "predicate": "proves", "object": "in abstract algebra, a branch of mathematics, a maximal semilattice quotient is a commutative monoid"}
{"subject": "math:Principal_direction", "predicate": "proves", "object": "a principal direction can refer to one of the following:\n\nprincipal directions (geometry) - in diffe"}
{"subject": "math:ZJ_theorem", "predicate": "proves", "object": "in mathematics, george glauberman's zj theorem states that if a finite group g is p-constrained and "}
{"subject": "math:Dupin_indicatrix", "predicate": "proves", "object": "in differential geometry, the dupin indicatrix is a method for characterising the local shape of a s"}
{"subject": "math:Papal_profession_of_faith_(late_7th_century)", "predicate": "proves", "object": "the liber diurnus romanorum pontificum includes a formula of profession of faith that a newly electe"}
{"subject": "math:Profession_of_the_supreme_pontiff_(Council_of_Base", "predicate": "proves", "object": "the council at basel decreed, in its 23rd session (26 march 1436) that anyone elected pope should ma"}
{"subject": "math:Low_basis_theorem", "predicate": "proves", "object": "the low basis theorem is one of several basis theorems in computability theory, each of which showin"}
{"subject": "math:Williams_Grand_Prix_results", "predicate": "proves", "object": "the table below details the complete grand prix racing results for williams grand prix engineering. "}
{"subject": "math:Depth_(ring_theory)", "predicate": "proves", "object": "in commutative and homological algebra, depth is an important invariant of rings and modules. althou"}
{"subject": "math:Fra\u0148kov\u00e1\u2013Helly_selection_theorem", "predicate": "proves", "object": "in mathematics, the fra\u0148kov\u00e1\u2013helly selection theorem is a generalisation of helly's selection theore"}
{"subject": "math:Divergent_geometric_series", "predicate": "proves", "object": "in mathematics, an infinite geometric series of the form\n\nis divergent if and only if |\u00a0r\u00a0|\u00a0\u2265\u00a01. met"}
{"subject": "math:2000_Atlantic_Championship", "predicate": "proves", "object": "the 2000 toyota atlantic championship season was contested over 12 rounds. the cart toyota atlantic "}
{"subject": "math:Bapudeva_Sastri", "predicate": "proves", "object": "bapudeva sastri or narasimha deva paranjpe (1821\u20131900) was an indian mathematician.\n\nbiography\nhe wa"}
{"subject": "math:CD133", "predicate": "proves", "object": "cd133 antigen, also known as prominin-1, is a glycoprotein that in humans is encoded by the prom1 ge"}
{"subject": "math:Daniel_Gottesman", "predicate": "proves", "object": "daniel gottesman is a physicist, known for his work regarding quantum error correction, in particula"}
{"subject": "math:Trefftz_method", "predicate": "proves", "object": "in mathematics, the trefftz method is a method for the numerical solution of partial differential eq"}
{"subject": "math:Dictated_but_not_read", "predicate": "proves", "object": "\"dictated but not read\" is a phrase used at the end of a text to warn that the written material has "}
{"subject": "math:Moulton_plane", "predicate": "proves", "object": "in incidence geometry, the moulton plane is an example of an affine plane in which desargues's theor"}
{"subject": "math:Rename_(relational_algebra)", "predicate": "proves", "object": "in relational algebra, a rename is a unary operation written as  where:\n\n  is a relation\n  and  are "}
{"subject": "math:Ornstein\u2013Zernike_equation", "predicate": "proves", "object": "in statistical mechanics the ornstein\u2013zernike (oz) equation is an integral equation introduced  by l"}
{"subject": "math:Solder_form", "predicate": "proves", "object": "in mathematics, more precisely in differential geometry, a soldering (or sometimes solder form) of a"}
{"subject": "math:Coryse_Borg", "predicate": "proves", "object": "coryse borg is a maltese actress, director and seo content writer, resident in malta. she appeared i"}
{"subject": "math:No-wandering-domain_theorem", "predicate": "proves", "object": "in mathematics, the no-wandering-domain theorem is a result on dynamical systems, proven by dennis s"}
{"subject": "math:Canadian_Land_Surface_Scheme", "predicate": "proves", "object": "the canadian land surface scheme (class) is a land surface parametrization scheme for use in large s"}
{"subject": "math:Shalom_H._Schwartz", "predicate": "proves", "object": "shalom h. schwartz () is a social psychologist, cross-cultural researcher and creator of the theory "}
{"subject": "math:(Hydroxyethyl)methacrylate", "predicate": "proves", "object": "hydroxyethylmethacrylate (also known as glycol methacrylate) is the organic compound with the chemic"}
{"subject": "math:1983_Formula_Atlantic_season", "predicate": "proves", "object": "the 1983 formula mondial north american cup season was contested over 9 rounds. in this one-make eng"}
{"subject": "math:Rotor_(mathematics)", "predicate": "proves", "object": "a rotor is an object in the geometric algebra (also called clifford algebra) of a vector space that "}
{"subject": "math:Declaration_of_mailing", "predicate": "proves", "object": "a declaration of mailing is a legal form verifying that a document has been sent via mail to a third"}
{"subject": "math:Christopher_Horner", "predicate": "proves", "object": "christopher horner may refer to:\n\nchristopher horner (director) (born 1955)\nchristopher c. horner, a"}
{"subject": "math:Semi-implicit_Euler_method", "predicate": "proves", "object": "in mathematics, the semi-implicit euler method, also called symplectic euler, semi-explicit euler, e"}
{"subject": "math:2001_Atlantic_Championship", "predicate": "proves", "object": "the 2001 toyota atlantic championship season was contested over 12 rounds. the cart toyota atlantic "}
{"subject": "math:Propenyl", "predicate": "proves", "object": "in organic chemistry, 1-propenyl (or simply propenyl) has the formula ch=chch3 and 2-propenyl (isopr"}
{"subject": "math:2002_Atlantic_Championship", "predicate": "proves", "object": "the 2002 toyota atlantic championship season was contested over 12 rounds. the cart toyota atlantic "}
{"subject": "math:Tangent_developable", "predicate": "proves", "object": "in the mathematical study of the differential geometry of surfaces, a tangent developable is a parti"}
{"subject": "math:Keilite", "predicate": "proves", "object": "keilite is an iron-magnesium sulfide mineral with the chemical formula  that is found in enstatite c"}
{"subject": "math:Niningerite", "predicate": "proves", "object": "niningerite is a magnesium-iron-manganese sulfide mineral with the chemical formula mgs that is foun"}
{"subject": "math:Leibniz_harmonic_triangle", "predicate": "proves", "object": "the leibniz harmonic triangle is a triangular arrangement of unit fractions in which the outermost d"}
{"subject": "math:Roger_Maddux", "predicate": "proves", "object": "roger maddux (born 1948) is an american mathematician specializing in algebraic logic.\n\nhe completed"}
{"subject": "math:James_Waddell_Alexander_II", "predicate": "proves", "object": "james waddell alexander ii (september 19, 1888 september 23, 1971) was a mathematician and topologis"}
{"subject": "math:Ragsdale_conjecture", "predicate": "proves", "object": "the ragsdale conjecture is a mathematical conjecture that concerns the possible arrangements of real"}
{"subject": "math:A_Little_Woman", "predicate": "proves", "object": "\"a little woman\" (german: \"eine kleine frau\") is a short story by franz kafka written between decemb"}
{"subject": "math:Jean-Fran\u00e7ois_Gautier", "predicate": "proves", "object": "jean-fran\u00e7ois gautier (born 9 january 1950, paris; died 6 december 2020) was a french  philosopher, "}
{"subject": "math:Rold\u00e1n_Rodr\u00edguez", "predicate": "proves", "object": "rold\u00e1n rodr\u00edguez iglesias (born 9 november 1984 in valladolid) is a spanish racing driver, who compe"}
{"subject": "math:Ministry_of_Agriculture_and_Rural_Development_(Col", "predicate": "proves", "object": "the ministry of agriculture and rural development () is the national executive ministry of the gover"}
{"subject": "math:1999_Atlantic_Championship", "predicate": "proves", "object": "the 1999 toyota atlantic championship season was contested over 12 rounds. the kool toyota atlantic "}
{"subject": "math:In_re_Winship", "predicate": "proves", "object": "in re winship, 397 u.s. 358 (1970), was a united states supreme court decision that held that \"the d"}
{"subject": "math:Snub_(disambiguation)", "predicate": "proves", "object": "a snub is a refusal to recognise an acquaintance.  it may also refer to:\n\n snub (geometry), an opera"}
{"subject": "math:EPRB", "predicate": "proves", "object": "eprb may refer to:\n\n a version of the epr paradox, formulated by david bohm, sometimes called the ep"}
{"subject": "math:Langley_(constructor)", "predicate": "proves", "object": "langley was an american racing car constructor. langley cars competed in one fia world championship "}
{"subject": "math:Moore_family", "predicate": "proves", "object": "moore family may refer to:\n\ncollections of sets that characterize a closure operator, according to m"}
{"subject": "math:Phillips_(constructor)", "predicate": "proves", "object": "phillips was an american racing car constructor. phillips cars competed in seven fia world champions"}
{"subject": "math:Edgar_Elder", "predicate": "proves", "object": "edgar elder was an american race car driver and racing car builder. elder cars competed in one fia w"}
{"subject": "math:Hero_Group", "predicate": "proves", "object": "the hero group is a private, swiss international consumer food manufacturer and marketing company, w"}
{"subject": "math:MP3Concept", "predicate": "proves", "object": "mp3concept is the first trojan horse for mac os x, created around april 2004. mp3concept is benign, "}
{"subject": "math:Strong_secrecy", "predicate": "proves", "object": "strong secrecy is a term used in formal proof-based cryptography for making propositions about the s"}
{"subject": "math:Methylphosphonyl_difluoride", "predicate": "proves", "object": "methylphosphonyl difluoride (df), also known as ea-1251  or difluoro, is a chemical weapon precursor"}
{"subject": "math:Channel_surface", "predicate": "proves", "object": "in geometry and topology, a channel or canal surface is a surface formed as the envelope of a family"}
{"subject": "math:Methyl_anthranilate", "predicate": "proves", "object": "methyl anthranilate, also known as ma, methyl 2-aminobenzoate, or carbomethoxyaniline, is an ester o"}
{"subject": "math:Intercept_theorem", "predicate": "proves", "object": "the intercept theorem, also known as thales's theorem, basic proportionality theorem or side splitte"}
{"subject": "math:Skew_lattice", "predicate": "proves", "object": "in abstract algebra, a skew lattice is an algebraic structure that is a non-commutative generalizati"}
{"subject": "math:Structure_theorem", "predicate": "proves", "object": "structure theorem may refer to:\n structured program theorem, a result in programming language theory"}
{"subject": "math:Cohomological_dimension", "predicate": "proves", "object": "in abstract algebra, cohomological dimension is an invariant of a group which measures the homologic"}
{"subject": "math:Potassium_phthalimide", "predicate": "proves", "object": "potassium phthalimide is a chemical compound of formula c8h4kno2. it is the potassium salt of phthal"}
{"subject": "math:Invariant_factor", "predicate": "proves", "object": "the invariant factors of a module over a principal ideal domain (pid) occur in one form of the struc"}
{"subject": "math:Omar_Rayo", "predicate": "proves", "object": "omar rayo reyes (january 20, 1928 \u2013 june 7, 2010) was a renowned colombian painter, sculptor, carica"}
{"subject": "math:List_of_computer_simulation_software", "predicate": "proves", "object": "the following is a list of notable computer simulation software.\n\nfree or open-source \n\n advanced si"}
{"subject": "math:C20H14O4", "predicate": "proves", "object": "{{displaytitle:c20h14o4}}\nthe molecular formula c20h14o4 (molar mass: 318.32 g/mol) may refer to:\n d"}
{"subject": "math:Super_Aguri_SA07", "predicate": "proves", "object": "the super aguri sa07 was super aguri f1's formula one car for the 2007 formula one season. it was de"}
{"subject": "math:Cellulose_insulation", "predicate": "proves", "object": "cellulose insulation is plant fiber used in wall and roof cavities to insulate, draught proof and re"}
{"subject": "math:Hesketh_308", "predicate": "proves", "object": "the hesketh 308 and its derived sister model the 308b are formula one racing cars designed by harvey"}
{"subject": "math:BS_Fabrications", "predicate": "proves", "object": "bs fabrications was an engineering company specialising in fabrications for formula one teams founde"}
{"subject": "math:Stable_normal_bundle", "predicate": "proves", "object": "in surgery theory, a branch of mathematics, the stable normal bundle of a differentiable manifold is"}
{"subject": "math:Structure_theorem_for_finitely_generated_modules_o", "predicate": "proves", "object": "in mathematics, in the field of abstract algebra, the structure theorem for finitely generated modul"}
{"subject": "math:Orientation_character", "predicate": "proves", "object": "in algebraic topology, a branch of mathematics, an orientation character on a group  is a group homo"}
{"subject": "math:Lost_in_the_Translation", "predicate": "proves", "object": "lost in the translation is an album by american composer bill laswell, issued under the moniker axio"}
{"subject": "math:Metaphosphate", "predicate": "proves", "object": "a metaphosphate ion is an oxyanion that has the empirical formula . it was first postulated in 1955 "}
{"subject": "math:2003_Atlantic_Championship", "predicate": "proves", "object": "the 2003 toyota atlantic championship season was contested over 12 rounds. in this one-make formula "}
{"subject": "math:Geometric_integration", "predicate": "proves", "object": "geometric integration can refer to:\n\nhomological integration \u2013 a method for extending the notion of "}
{"subject": "math:McLaren_MP4/7A", "predicate": "proves", "object": "the mclaren mp4/7a was mclaren international's formula one entry for the  season, and a follow-up to"}
{"subject": "math:(\u22122,3,7)_pretzel_knot", "predicate": "proves", "object": "in geometric topology, a branch of mathematics, the (\u22122,\u00a03,\u00a07) pretzel knot, sometimes called the fi"}
{"subject": "math:Chrysene", "predicate": "proves", "object": "chrysene is a polycyclic aromatic hydrocarbon (pah) with the molecular formula  that consists of fou"}
{"subject": "math:Resolution_of_singularities", "predicate": "proves", "object": "in algebraic geometry, the problem of resolution of singularities asks whether every algebraic varie"}
{"subject": "math:2004_Atlantic_Championship", "predicate": "proves", "object": "the 2004 toyota atlantic championship season was contested over 12 rounds. 11 different teams and 24"}
{"subject": "math:Tobias_Bl\u00e4ttler", "predicate": "proves", "object": "tobias bl\u00e4ttler, born 11 october 1981, in lucerne, switzerland, is a professional race car driver.  "}
{"subject": "math:Chrome_orange", "predicate": "proves", "object": "chrome orange is a mixed oxide with the chemical formula  pb2cro5. it can be made by treating a lead"}
{"subject": "math:Polynomial_greatest_common_divisor", "predicate": "proves", "object": "in algebra, the greatest common divisor (frequently abbreviated as gcd) of two polynomials is a poly"}
{"subject": "math:Fluoroamine", "predicate": "proves", "object": "fluoroamine is a chemical compound with formula nh2f.  it is analogous to monochloramine, but seldom"}
{"subject": "math:Lubrication_theory", "predicate": "proves", "object": "in fluid dynamics, lubrication theory describes the flow of fluids (liquids or gases) in a geometry "}
{"subject": "math:Zinovy_Zinik", "predicate": "proves", "object": "zinovy zinik (; born 16 june 1945) is a russian-born british novelist, short-story writer and essayi"}
{"subject": "math:Maid_to_Order", "predicate": "proves", "object": "maid to order is a 1987 american comedy/fantasy film. it is a variation on the cinderella formula, w"}
{"subject": "math:Hartman\u2013Grobman_theorem", "predicate": "proves", "object": "in mathematics, in the study of dynamical systems, the hartman\u2013grobman theorem or linearisation theo"}
{"subject": "math:Peripatetic", "predicate": "proves", "object": "peripatetic may refer to:\n\nperipatetic school, a school of philosophy in ancient greece\nperipatetic "}
{"subject": "math:Diagrammatic_reasoning", "predicate": "proves", "object": "diagrammatic reasoning is reasoning by means of visual representations. the study of diagrammatic re"}
{"subject": "math:Vitaliy_Komarnytskyi", "predicate": "proves", "object": "vitaliy komarnytskyi (, born 2 august 1981) is a retired ukrainian footballer.\n\ncareer\nhe participat"}
{"subject": "math:Adjoint_bundle", "predicate": "proves", "object": "in mathematics, an adjoint bundle  is a vector bundle naturally associated to any principal bundle. "}
{"subject": "math:Robin_boundary_condition", "predicate": "proves", "object": "in mathematics,  the robin boundary condition (; properly ), or third type boundary condition, is a "}
{"subject": "math:Schr\u00f6der\u2013Bernstein_theorems_for_operator_algebras", "predicate": "proves", "object": "the schr\u00f6der\u2013bernstein theorem from set theory has analogs in the context operator algebras. this ar"}
{"subject": "math:The_History_of_the_Siege_of_Lisbon", "predicate": "proves", "object": "the history of the siege of lisbon () is a novel by portuguese author jos\u00e9 saramago, first published"}
{"subject": "math:The_Call_of_the_Savage", "predicate": "proves", "object": "the call of the savage (1935) is a universal serial based on the story jan of the jungle by otis ade"}
{"subject": "math:Diet_Coke_Plus", "predicate": "proves", "object": "diet coke plus (also known as coca-cola light plus) was a formulation of diet coke fortified with vi"}
{"subject": "math:Harry_Mairson", "predicate": "proves", "object": "harry george mairson is a theoretical computer scientist and professor of computer science in the vo"}
{"subject": "math:Phthalaldehyde", "predicate": "proves", "object": "phthalaldehyde (sometimes also o-phthalaldehyde or ortho-phthalaldehyde, opa) is the chemical compou"}
{"subject": "math:Tim_Wright", "predicate": "proves", "object": "tim wright may refer to:\n\n tim wright (american football) (born 1990), american football tight end\n "}
{"subject": "math:Tim_Wright_(engineer)", "predicate": "proves", "object": "tim wright (born 29 january 1949) is a former formula one engineer.\n\ncareer \nwright has a remarkable"}
{"subject": "math:Analemmatic_sundial", "predicate": "proves", "object": "analemmatic sundials are a type of horizontal sundial that has a vertical gnomon and hour markers po"}
{"subject": "math:Scoring_algorithm", "predicate": "proves", "object": "scoring algorithm, also known as fisher's scoring, is a form of newton's method used in statistics t"}
{"subject": "math:Complex_multiplier", "predicate": "proves", "object": "this article deals with the concept in economics. for the multiplication of complex numbers, see com"}
{"subject": "math:Arthur_Mattuck", "predicate": "proves", "object": "arthur paul mattuck (june 11, 1930 \u2013 october 8, 2021) was an emeritus professor of mathematics at th"}
{"subject": "math:Mercury(II)_fluoride", "predicate": "proves", "object": "mercury(ii) fluoride has the molecular formula hgf2 as a chemical compound of one atom of mercury wi"}
{"subject": "math:William_LeSassier", "predicate": "proves", "object": "william lesassier (november 6, 1948 \u2013 may 13, 2003) was an american herbalist and acupuncturist.  he"}
{"subject": "math:Giacomo_Caliri", "predicate": "proves", "object": "giacomo caliri (born 29 july 1940 in catania) is an italian former formula one engineer.\n\nhis racing"}
{"subject": "math:David_Sears_(racing_driver)", "predicate": "proves", "object": "david john charles sears (born 9 december 1955) is a british former racing driver and son of touring"}
{"subject": "math:P25", "predicate": "proves", "object": "p25 may refer to:\n\n boulton & paul p.25 bugle, a british heavy bomber\n brm p25, a formula one racing"}
{"subject": "math:Creutz\u2013Taube_complex", "predicate": "proves", "object": "the creutz\u2013taube ion is the metal complex with the formula {[ru(nh3)5]2(c4h4n2)}5+. this cationic sp"}
{"subject": "math:German_Formula_Three_Championship", "predicate": "proves", "object": "the german formula three championship was the national formula three championship of germany, and th"}
{"subject": "math:Affine_manifold", "predicate": "proves", "object": "in differential geometry, an affine manifold is a differentiable manifold equipped with a flat, tors"}
{"subject": "math:Li\u00e9nard\u2013Wiechert_potential", "predicate": "proves", "object": "the li\u00e9nard\u2013wiechert potentials describe the classical electromagnetic effect of a moving electric p"}
{"subject": "math:James_Key_(Formula_One)", "predicate": "proves", "object": "james key (born 14 january 1972) is a british engineer who has worked in formula one. he was most re"}
{"subject": "math:Khintchine_inequality", "predicate": "proves", "object": "in mathematics, the khintchine inequality, named after aleksandr khinchin and spelled in multiple wa"}
{"subject": "math:Gottschalk_v._Benson", "predicate": "proves", "object": "gottschalk v. benson, 409 u.s. 63 (1972), was a united states supreme court case in which the court "}
{"subject": "math:Sulflower", "predicate": "proves", "object": "sulflower (a portmanteau of sulfur and sunflower) is a stable heterocyclic octacirculene based on th"}
{"subject": "math:\u0392-Tocopherol", "predicate": "proves", "object": "\u03b2-tocopherol (beta-tocopherol) is a type of tocopherol with formula c28h48o2.\n\nreferences\n\nvitamin e"}
{"subject": "math:Respiratory_disturbance_index", "predicate": "proves", "object": "the respiratory disturbance index (rdi)\u2014or respiratory distress index\u2014is a formula used in reporting"}
{"subject": "math:Excellent_ring", "predicate": "proves", "object": "in commutative algebra, a quasi-excellent ring is a noetherian commutative ring that behaves well wi"}
{"subject": "math:Development_(differential_geometry)", "predicate": "proves", "object": "in classical differential geometry, development refers to the simple idea of rolling one smooth surf"}
{"subject": "math:Leonida_Tonelli", "predicate": "proves", "object": "leonida tonelli (19 april 1885 \u2013 12 march 1946) was an italian mathematician, noted for proving tone"}
{"subject": "math:Manufacturing_Dissent", "predicate": "proves", "object": "manufacturing dissent: uncovering michael moore is a 2007 documentary film. it puts forward that fil"}
{"subject": "math:An_Abundance_of_Katherines", "predicate": "proves", "object": "an abundance of katherines is a young adult novel by john green. released in 2006, it was a finalist"}
{"subject": "math:Old_Souls_(book)", "predicate": "proves", "object": "old souls: the scientific search for proof of past lives is a non-fiction book by journalist tom shr"}
{"subject": "math:Alfa_Romeo_185T", "predicate": "proves", "object": "the alfa romeo 185t is a formula one car that benetton team alfa romeo used during the 1985 season. "}
{"subject": "math:Sparrowlee_railway_station", "predicate": "proves", "object": "sparrowlee was the name of a railway station on the leek and manifold valley light railway, a   narr"}
{"subject": "math:Alfa_Romeo_177", "predicate": "proves", "object": "the alfa romeo 177 was a formula one car used by the alfa romeo team during the 1979 formula one sea"}
{"subject": "math:Arrow_paradox_(disambiguation)", "predicate": "proves", "object": "arrow paradox, referring to an arrow (missile), may mean:\n\n one of zeno's paradoxes about the imposs"}
{"subject": "math:Alfa_Romeo_184T", "predicate": "proves", "object": "the alfa romeo 184t is a formula one car which was used by the alfa romeo team during the  and  form"}
{"subject": "math:Homotopy_category_of_chain_complexes", "predicate": "proves", "object": "in homological algebra in mathematics, the homotopy category k(a) of chain complexes in an additive "}
{"subject": "math:Alfa_Romeo_183T", "predicate": "proves", "object": "the alfa romeo 183t was a formula one car designed by g\u00e9rard ducarouge and mario tollentino and was "}
{"subject": "math:Maximal_ergodic_theorem", "predicate": "proves", "object": "the maximal ergodic theorem is a theorem in ergodic theory, a discipline within mathematics.\n\nsuppos"}
{"subject": "math:Ginsberg's_theorem", "predicate": "proves", "object": "ginsberg's theorem is a parody of the laws of thermodynamics in terms of a person playing a game. th"}
{"subject": "math:Irvin_Cohen", "predicate": "proves", "object": "irvin sol cohen (1917 \u2013 february 14, 1955) was an american mathematician at the massachusetts instit"}
{"subject": "math:Hydrophobic_concrete", "predicate": "proves", "object": "hydrophobic concrete is concrete that repels water.  it meets the standards outlined in the definiti"}
{"subject": "math:Requiem_for_the_Conqueror", "predicate": "proves", "object": "requiem for the conqueror is a science fiction novel by american writer w. michael gear.\n\nplot intro"}
{"subject": "math:Curve_radius", "predicate": "proves", "object": "radius of curvature, the reciprocal of the curvature in differential geometry\n minimum railway curve"}
{"subject": "math:Lo\u00efc_Duval", "predicate": "proves", "object": "lo\u00efc jean-claude duval (; born 12 june 1982) is a french professional racing driver racing for audi "}
{"subject": "math:Alfa_Romeo_182", "predicate": "proves", "object": "the alfa romeo 182 is a formula one car that was used by the alfa romeo team during the 1982 formula"}
{"subject": "math:Category_of_manifolds", "predicate": "proves", "object": "in mathematics, the category of manifolds, often denoted manp, is the category whose objects are man"}
{"subject": "math:2005_Atlantic_Championship", "predicate": "proves", "object": "the 2005 toyota atlantic championship season was contested over 12 rounds. 14 different teams and 27"}
{"subject": "math:Perpendicular_axis_theorem", "predicate": "proves", "object": "the perpendicular axis theorem (or plane figure theorem) states that the moment of inertia of a plan"}
{"subject": "math:Jean_Beguin", "predicate": "proves", "object": "jean beguin (1550\u20131620) was an iatrochemist noted for his 1610 tyrocinium chymicum (begin chemistry)"}
{"subject": "math:Shifted_Gompertz_distribution", "predicate": "proves", "object": "the shifted gompertz distribution is the distribution of the larger of two independent random variab"}
{"subject": "math:Radio_Patrol_(serial)", "predicate": "proves", "object": "radio patrol is a 1937 universal movie serial based on the comic strip radio patrol.\n\npremise\npat o'"}
{"subject": "math:Formula_3_Sudamericana", "predicate": "proves", "object": "f\u00f3rmula 3 sudamericana was a south american formula three championship. it was inaugurated in 1987 a"}
{"subject": "math:Bracho", "predicate": "proves", "object": "the word bracho can refer to:\n\nberakhah (judaism), a blessing or benediction, usually recited accord"}
{"subject": "math:S-Nitroso-N-acetylpenicillamine", "predicate": "proves", "object": "s-nitroso-n-acetylpenicillamine (snap) is the organosulfur compound with the formula onsc(ch3)2ch(nh"}
{"subject": "math:5-cubic_honeycomb", "predicate": "proves", "object": "in geometry, the 5-cubic honeycomb or penteractic honeycomb is the only regular space-filling tessel"}
{"subject": "math:6-cube", "predicate": "proves", "object": "in geometry, a 6-cube is a six-dimensional hypercube with 64 vertices, 192 edges,  240 square faces,"}
{"subject": "math:6-orthoplex", "predicate": "proves", "object": "in geometry, a 6-orthoplex, or 6-cross polytope, is a regular 6-polytope with 12 vertices, 60 edges,"}
{"subject": "math:C22H27N3O2", "predicate": "proves", "object": "{{displaytitle:c22h27n3o2}}\nthe molecular formula c22h27n3o2 (molar mass: 365.46 g/mol) may refer to"}
{"subject": "math:Complete_theory", "predicate": "proves", "object": "in mathematical logic, a theory  is complete if it is consistent and for every closed formula in the"}
{"subject": "math:Symmetry_operation", "predicate": "proves", "object": "in group theory, geometry, representation theory and molecular geometry, a symmetry operation is a g"}
{"subject": "math:Papkovich\u2013Neuber_solution", "predicate": "proves", "object": "the papkovich\u2013neuber solution is a technique for generating analytic solutions to the newtonian inco"}
{"subject": "math:Peano_existence_theorem", "predicate": "proves", "object": "in mathematics, specifically in the study of ordinary differential equations, the peano existence th"}
{"subject": "math:Nagata_ring", "predicate": "proves", "object": "in commutative algebra, an n-1 ring is an integral domain  whose integral closure in its quotient fi"}
{"subject": "math:C13H16N2O2", "predicate": "proves", "object": "{{displaytitle:c13h16n2o2}}\nthe molecular formula c13h16n2o2 (molar mass : 232.27 g/mol, exact mass "}
{"subject": "math:G-ring", "predicate": "proves", "object": "in commutative algebra, a g-ring or grothendieck ring is a noetherian ring such that the map of any "}
{"subject": "math:Hectorite", "predicate": "proves", "object": "hectorite is a rare soft, greasy, white clay mineral with a chemical formula of .\n\nhectorite was fir"}
{"subject": "math:Zakai_equation", "predicate": "proves", "object": "in filtering theory the zakai equation is a linear stochastic partial differential equation for the "}
{"subject": "math:Ferrari_246_F1", "predicate": "proves", "object": "the ferrari 246 f1 is a ferrari racing car built for the formula one world championship of 1958.\n\n24"}
{"subject": "math:2007_Spanish_Grand_Prix", "predicate": "proves", "object": "the 2007 spanish grand prix (formally the formula 1 gran premio de espa\u00f1a telef\u00f3nica 2007) was a for"}
{"subject": "math:Vitali_covering_lemma", "predicate": "proves", "object": "in mathematics, the vitali covering lemma is a combinatorial and geometric result commonly used in m"}
{"subject": "math:Kuratowski's_closure-complement_problem", "predicate": "proves", "object": "in point-set topology, kuratowski's closure-complement problem asks for the largest number of distin"}
{"subject": "math:Sylvester_equation", "predicate": "proves", "object": "in mathematics, in the field of control theory, a sylvester equation  is a matrix equation of the fo"}
{"subject": "math:Louis_Plack_Hammett", "predicate": "proves", "object": "louis plack hammett (april 7, 1894 \u2013 february 9, 1987) was an american physical chemist. he is known"}
{"subject": "math:Orr\u2013Sommerfeld_equation", "predicate": "proves", "object": "the orr\u2013sommerfeld equation, in fluid dynamics, is an eigenvalue equation describing the linear two-"}
{"subject": "math:2007_Monaco_Grand_Prix", "predicate": "proves", "object": "the 2007 monaco grand prix (officially the formula 1 grand prix de monaco 2007) was a formula one mo"}
{"subject": "math:Maltisorb", "predicate": "proves", "object": "maltisorb is a natural sweetening alcohol made by roquette of france. it can be used in baking, espe"}
{"subject": "math:Old_Temple_of_Athena", "predicate": "proves", "object": "the old temple of athena or the archaios neos ()  was an archaic greek limestone doric temple on the"}
{"subject": "math:Courant_algebroid", "predicate": "proves", "object": "in a field of mathematics known as differential geometry, a courant geometry was originally introduc"}
{"subject": "math:Sheng_Hua_Tang", "predicate": "proves", "object": "sheng hua tang () is a chinese classic herbal formula that stimulates blood flow and relieves pain. "}
{"subject": "math:Tributyltin_hydride", "predicate": "proves", "object": "tributyltin hydride is an organotin compound with the formula (c4h9)3snh. it is a colorless liquid t"}
{"subject": "math:2007_Japanese_Grand_Prix", "predicate": "proves", "object": "the 2007 japanese grand prix (officially the 2007 formula 1 fuji television japanese grand prix) was"}
{"subject": "math:2007_Belgian_Grand_Prix", "predicate": "proves", "object": "the 2007 belgian grand prix (officially the 2007 formula 1 ing belgian grand prix) was the fourteent"}
{"subject": "math:2007_Italian_Grand_Prix", "predicate": "proves", "object": "the 2007 italian grand prix (officially the formula 1 gran premio d'italia 2007) was a formula one m"}
{"subject": "math:2007_Canadian_Grand_Prix", "predicate": "proves", "object": "the 2007 canadian grand prix (formally the formula 1 grand prix du canada 2007) was a formula one mo"}
{"subject": "math:2007_United_States_Grand_Prix", "predicate": "proves", "object": "the 2007 united states grand prix (formally the 2007 formula 1 united states grand prix) was a formu"}
{"subject": "math:Pore_space_in_soil", "predicate": "proves", "object": "the pore space of soil contains the liquid and gas phases of soil, i.e., everything but the solid ph"}
{"subject": "math:Tetraphenylphosphonium_chloride", "predicate": "proves", "object": "tetraphenylphosphonium chloride is the chemical compound with the formula (c6h5)4pcl, abbreviated ph"}
{"subject": "math:2007_French_Grand_Prix", "predicate": "proves", "object": "the 2007 french grand prix (formally the formula 1 grand prix de france 2007) was a formula one moto"}
{"subject": "math:Mapping_cone_(homological_algebra)", "predicate": "proves", "object": "in homological algebra, the mapping cone is a construction on a map of chain complexes inspired by t"}
{"subject": "math:Fundamental_matrix_(linear_differential_equation)", "predicate": "proves", "object": "in mathematics, a fundamental matrix of a system of n homogeneous linear ordinary differential equat"}
{"subject": "math:Rupture_field", "predicate": "proves", "object": "in abstract algebra, a rupture field of a polynomial  over a given field  is a field extension of  g"}
{"subject": "math:Inevitable_disclosure", "predicate": "proves", "object": "inevitable disclosure is a legal doctrine through which an employer can claim trade secret to enjoin"}
{"subject": "math:2007_British_Grand_Prix", "predicate": "proves", "object": "the 2007 british grand prix (formally the 2007 formula 1 santander british grand prix) was the ninth"}
{"subject": "math:Beryllium_chloride", "predicate": "proves", "object": "beryllium chloride is an inorganic compound with the formula becl2. it is a colourless, hygroscopic "}
{"subject": "math:2007_European_Grand_Prix", "predicate": "proves", "object": "the 2007 european grand prix (formally the 2007 formula 1 grand prix of europe) was a formula one mo"}
{"subject": "math:Tsen's_theorem", "predicate": "proves", "object": "in mathematics, tsen's theorem states that a function field k of an algebraic curve over an algebrai"}
{"subject": "math:Oliver_Turvey", "predicate": "proves", "object": "oliver jonathan turvey (born 1 april 1987) is a british professional racing driver, who most recentl"}
{"subject": "math:PDIFF", "predicate": "proves", "object": "in geometric topology, pdiff, for piecewise differentiable, is the category of piecewise-smooth mani"}
{"subject": "math:Olive_Hazlett", "predicate": "proves", "object": "olive clio hazlett (october 27, 1890 \u2013 march 8, 1974) was an american mathematician who spent most o"}
{"subject": "math:Fourier_integral_operator", "predicate": "proves", "object": "in mathematical analysis, fourier integral operators have become an important tool in the theory of "}
{"subject": "math:2007_Hungarian_Grand_Prix", "predicate": "proves", "object": "the 2007 hungarian grand prix (officially the formula 1 magyar nagyd\u00edj 2007) was the eleventh race o"}
{"subject": "math:Lou_Kenton", "predicate": "proves", "object": "lou kenton (1 september 1908 \u2013 17 september 2012) was an english proofreader who served as a medical"}
{"subject": "math:Chiungtze_C._Tsen", "predicate": "proves", "object": "chiungtze c. tsen (; chang-du gan: [ts\u025bn\u02e6\u02e8 t\u0255ju\u014b\u02e8\u02e9\u02e7 ts\u0279\u0329\u02e6\u02e8], april 2, 1898 \u2013 october 1, 1940), given"}
{"subject": "math:Kneser's_theorem_(differential_equations)", "predicate": "proves", "object": "in mathematics, the kneser theorem can refer to two distinct theorems in the field of ordinary diffe"}
{"subject": "math:Oscillation_theory", "predicate": "proves", "object": "in mathematics, in the field of ordinary differential equations, a nontrivial solution to an ordinar"}
{"subject": "math:Abu_Dhabi_Grand_Prix", "predicate": "proves", "object": "the abu dhabi grand prix () is a formula one motor racing event. it was announced in early 2007 at t"}
{"subject": "math:David_Bodanis", "predicate": "proves", "object": "david bodanis is an american speaker, business advisor and writer of bestselling nonfiction books, n"}
{"subject": "math:2005_Formula_Nippon_Championship", "predicate": "proves", "object": "the 2005 formula nippon championship was  contested over 9 rounds. 8 teams and 17 drivers competed. "}
{"subject": "math:Secretaries'_Day_(Ugly_Betty)", "predicate": "proves", "object": "\"secretaries' day\" is the 21st episode from the dramedy series ugly betty, which aired on may 3, 200"}
{"subject": "math:2007_Chinese_Grand_Prix", "predicate": "proves", "object": "the 2007 chinese grand prix (officially the 2007 formula 1 sinopec chinese grand prix) was the sixte"}
{"subject": "math:Percus\u2013Yevick_approximation", "predicate": "proves", "object": "in statistical mechanics the percus\u2013yevick approximation is a closure relation to solve the ornstein"}
{"subject": "math:Spinors_in_three_dimensions", "predicate": "proves", "object": "in mathematics, the spinor concept as specialised to three dimensions can be treated by means of the"}
{"subject": "math:Overdetermined_system", "predicate": "proves", "object": "in mathematics, a system of equations  is considered overdetermined if there are more equations than"}
{"subject": "math:Mauro_Picone", "predicate": "proves", "object": "mauro picone (2 may 1885 \u2013 11 april 1977) was an italian mathematician. he is known for the picone i"}
{"subject": "math:Sturm\u2013Picone_comparison_theorem", "predicate": "proves", "object": "in mathematics, in the field of ordinary differential equations, the sturm\u2013picone comparison theorem"}
{"subject": "math:Picone_identity", "predicate": "proves", "object": "in the field of ordinary differential equations, the picone identity, named after mauro picone, is a"}
{"subject": "math:\u00c9tale", "predicate": "proves", "object": "in mathematics, more specifically in algebra, the adjective \u00e9tale refers to several closely related "}
{"subject": "math:Sturm_separation_theorem", "predicate": "proves", "object": "in mathematics, in the field of ordinary differential equations, sturm separation theorem, named aft"}
{"subject": "math:Large-signal_model", "predicate": "proves", "object": "large-signal modeling is a common analysis method used in electronic engineering to describe nonline"}
{"subject": "math:Cerelac", "predicate": "proves", "object": "cerelac is a brand of instant cereal made by nestl\u00e9. the cereal is promoted for infants 6 months and"}
{"subject": "math:Phenyltropane", "predicate": "proves", "object": "phenyltropanes (pts) were originally developed to reduce cocaine addiction and dependency. in genera"}
{"subject": "math:Complete_homogeneous_symmetric_polynomial", "predicate": "proves", "object": "in mathematics, specifically in algebraic combinatorics and commutative algebra, the complete homoge"}
{"subject": "math:Adiva", "predicate": "proves", "object": "adiva was the first wife of boleslaus ii of bohemia. it has been speculated that she was the progeny"}
{"subject": "math:Lithium_bis(trimethylsilyl)amide", "predicate": "proves", "object": "lithium bis(trimethylsilyl)amide is a lithiated organosilicon compound with the formula . it is comm"}
{"subject": "math:Potassium_bis(trimethylsilyl)amide", "predicate": "proves", "object": "potassium bis(trimethylsilyl)amide (commonly abbreviated as khmds, potassium(k) hexamethyldisilazide"}
{"subject": "math:Cornforth_reagent", "predicate": "proves", "object": "the pyridinium dichromate (pdc) or cornforth reagent is a pyridinium salt of dichromate with the che"}
{"subject": "math:Power_sum_symmetric_polynomial", "predicate": "proves", "object": "in mathematics, specifically in commutative algebra, the power sum symmetric polynomials are a type "}
{"subject": "math:Nilpotent_orbit", "predicate": "proves", "object": "in mathematics, nilpotent orbits are generalizations of nilpotent matrices that play an important ro"}
{"subject": "math:Modular_Lie_algebra", "predicate": "proves", "object": "in mathematics, a modular lie algebra is a lie algebra over a field of positive characteristic.\n\nthe"}
{"subject": "math:Minimal_prime", "predicate": "proves", "object": "in mathematics, the term minimal prime may refer to \nminimal prime ideal, in commutative algebra\nmin"}
{"subject": "math:1977_Formula_Atlantic_season", "predicate": "proves", "object": "the 1977 casc formula atlantic labatts championship series season was contested over 7 rounds. in th"}
{"subject": "math:2007_Turkish_Grand_Prix", "predicate": "proves", "object": "the 2007 turkish grand prix (officially the 2007 formula 1 petrol ofisi turkish grand prix) was the "}
{"subject": "math:2007_Brazilian_Grand_Prix", "predicate": "proves", "object": "the 2007 brazilian grand prix (officially the formula 1 grande pr\u00eamio do brasil 2007) was a formula "}
{"subject": "math:Gordon\u2013Luecke_theorem", "predicate": "proves", "object": "in mathematics, the gordon\u2013luecke theorem on knot complements states that if the complements of two "}
{"subject": "math:Superdeterminism", "predicate": "proves", "object": "superdeterminism describes the set of local hidden-variable theories consistent with the results of "}
{"subject": "math:Ricardo_Risatti", "predicate": "proves", "object": "ricardo ca\u00edto risatti (born september 27, 1986, in buenos aires) is an argentine racing driver. he w"}
{"subject": "math:S\u00e9rgio_Jimenez", "predicate": "proves", "object": "s\u00e9rgio jimenez (born may 15, 1984, in piedade, s\u00e3o paulo state) is a brazilian racing driver current"}
{"subject": "math:Oskar_Bolza", "predicate": "proves", "object": "oskar bolza  (12 may 1857 \u2013 5 july 1942) was a german mathematician, and student of felix klein. he "}
{"subject": "math:Croatian_passport", "predicate": "proves", "object": "croatian passport () is issued to citizens of the republic of croatia for the purpose of internation"}
{"subject": "math:Crystalline_cohomology", "predicate": "proves", "object": "in mathematics, crystalline cohomology is a weil cohomology theory for schemes x over a base field k"}
{"subject": "math:Three_Jewels_and_Three_Roots", "predicate": "proves", "object": "in tibetan buddhism, the three jewels and three roots are supports in which a buddhist takes refuge "}
{"subject": "math:Eilenberg\u2013Zilber_theorem", "predicate": "proves", "object": "in mathematics, specifically in algebraic topology, the eilenberg\u2013zilber theorem is an important res"}
{"subject": "math:Eilenberg\u2013Moore_spectral_sequence", "predicate": "proves", "object": "in mathematics, in the field of algebraic topology, the eilenberg\u2013moore spectral sequence addresses "}
{"subject": "math:Bilane", "predicate": "proves", "object": "in organic chemistry, bilane is a compound with the formula  or .  it is a tetrapyrrole, a class of "}
{"subject": "math:Spacetime_algebra", "predicate": "proves", "object": "in mathematical physics, spacetime algebra (sta) is a name for the clifford algebra cl1,3(r), or equ"}
{"subject": "math:Alexander_Beilinson", "predicate": "proves", "object": "alexander a. beilinson (born 1957) is the david and mary winton green university professor at the un"}
{"subject": "math:John_Bowe_(racing_driver)", "predicate": "proves", "object": "john bowe  (born 16 april 1954 in devonport, tasmania) is an australian racing driver, presently rac"}
{"subject": "math:International_Field_Archery_Association", "predicate": "proves", "object": "the international field archery association (ifaa), is an amateur sports association that  represent"}
{"subject": "math:Quirizio_di_Giovanni_da_Murano", "predicate": "proves", "object": "quirizio di giovanni da murano or quirizio da murano or quiricius (venice  ), was an italian renaiss"}
{"subject": "math:Geometric_algebra_(disambiguation)", "predicate": "proves", "object": "in mathematics, a geometric algebra is a specific algebraic structure. the term is also used as a bl"}
{"subject": "math:Minardi_PS03", "predicate": "proves", "object": "the minardi ps03 was the car with which the minardi team competed in the 2003 formula one world cham"}
{"subject": "math:1996_Atlantic_Championship", "predicate": "proves", "object": "the 1996 toyota atlantic championship season was the 23rd season of the formula race car atlantic ch"}
{"subject": "math:Brianite", "predicate": "proves", "object": "brianite is a phosphate mineral with the chemical formula na2camg(po4)2.  it was first identified in"}
{"subject": "math:Algebraic_character", "predicate": "proves", "object": "an algebraic character is a formal expression attached to a module in representation theory of semis"}
{"subject": "math:Mumford_conjecture", "predicate": "proves", "object": "there are several conjectures in mathematics by david mumford.\n mumford's conjecture about reductive"}
{"subject": "math:Fluorosulfonate", "predicate": "proves", "object": "fluorosulfonate, in organic chemistry, is a functional group that has the chemical formula f-so2-r, "}
{"subject": "math:Poincar\u00e9\u2013Lindstedt_method", "predicate": "proves", "object": "in perturbation theory, the poincar\u00e9\u2013lindstedt method or lindstedt\u2013poincar\u00e9 method is a technique fo"}
{"subject": "math:Ern\u0151_Lendvai", "predicate": "proves", "object": "\n\nern\u0151 lendvai (6 february 1925 \u2013 31 january 1993) was one of the first music theorists to write on "}
{"subject": "math:Green_formula", "predicate": "proves", "object": "in mathematics, green formula may refer to:\n\n green's theorem in integral calculus\n green's identiti"}
{"subject": "math:The_Weatherman_LP", "predicate": "proves", "object": "the weatherman lp is the debut solo studio album by american rapper and producer evidence. it was re"}
{"subject": "math:Ministry_of_Civil_Aviation_(India)", "predicate": "proves", "object": "the ministry of civil aviation (, ) in india is the nodal ministry responsible for the formulation o"}
{"subject": "math:Jaguar_R4", "predicate": "proves", "object": "the jaguar r4 is a formula one car with which jaguar racing competed in the 2003 formula one season."}
{"subject": "math:2006_Formula_Nippon_Championship", "predicate": "proves", "object": "the 2006 formula nippon championship was contested over nine rounds, with twelve teams and 25 driver"}
{"subject": "math:Notation_for_differentiation", "predicate": "proves", "object": "in differential calculus, there is no single uniform notation for differentiation. instead, various "}
{"subject": "math:Positive-definite_kernel", "predicate": "proves", "object": "in operator theory, a branch of mathematics, a positive-definite kernel is a generalization of a pos"}
{"subject": "math:6-demicube", "predicate": "proves", "object": "in geometry, a 6-demicube or demihexeract is a uniform 6-polytope, constructed from a 6-cube (hexera"}
{"subject": "math:7-cube", "predicate": "proves", "object": "in geometry, a 7-cube is a seven-dimensional hypercube with 128 vertices, 448 edges,  672 square fac"}
{"subject": "math:7-demicube", "predicate": "proves", "object": "in geometry, a demihepteract or 7-demicube is a uniform 7-polytope, constructed from the 7-hypercube"}
{"subject": "math:8-demicube", "predicate": "proves", "object": "in geometry, a demiocteract or 8-demicube is a uniform 8-polytope, constructed from the 8-hypercube,"}
{"subject": "math:9-demicube", "predicate": "proves", "object": "in geometry, a demienneract or 9-demicube is a uniform 9-polytope, constructed from the 9-cube, with"}
{"subject": "math:8-cube", "predicate": "proves", "object": "in geometry, an 8-cube is an eight-dimensional hypercube. it has 256 vertices, 1024 edges, 1792 squa"}
{"subject": "math:9-cube", "predicate": "proves", "object": "in geometry, a 9-cube is a nine-dimensional hypercube with 512 vertices, 2304 edges,  4608 square fa"}
{"subject": "math:7-orthoplex", "predicate": "proves", "object": "in geometry, a 7-orthoplex, or 7-cross polytope, is a regular 7-polytope with 14 vertices, 84 edges,"}
{"subject": "math:6-simplex", "predicate": "proves", "object": "in geometry, a 6-simplex is a self-dual regular 6-polytope. it has 7 vertices, 21 edges, 35 triangle"}
{"subject": "math:7-simplex", "predicate": "proves", "object": "in 7-dimensional geometry, a 7-simplex is a self-dual regular 7-polytope. it has 8 vertices, 28 edge"}
{"subject": "math:8-orthoplex", "predicate": "proves", "object": "in geometry, an 8-orthoplex or 8-cross polytope is a regular 8-polytope with 16 vertices, 112 edges,"}
{"subject": "math:Octonion_algebra", "predicate": "proves", "object": "in mathematics, an octonion algebra or cayley algebra over a field f is a composition algebra over f"}
{"subject": "math:Hydrokenoelsmoreite", "predicate": "proves", "object": "hydrokenoelsmoreite is a hydrous tungsten oxide mineral with formula \u25a12w2o6(h2o). hydrokenoelsmoreit"}
{"subject": "math:Isothermal_coordinates", "predicate": "proves", "object": "in mathematics, specifically in differential geometry, isothermal coordinates on a riemannian manifo"}
{"subject": "math:Lie_bracket_of_vector_fields", "predicate": "proves", "object": "in the mathematical field of differential topology, the lie bracket of vector fields, also known as "}
{"subject": "math:World_Manufacturers'_Championship", "predicate": "proves", "object": "the world manufacturers' championship, also known as automobile world championship, was a competitio"}
{"subject": "math:Hypoiodous_acid", "predicate": "proves", "object": "hypoiodous acid is the inorganic compound with the chemical formula hio. it forms when an aqueous so"}
{"subject": "math:Pentanal", "predicate": "proves", "object": "pentanal (also called valeraldehyde) is the organic compound  with molecular formula . classified as"}
{"subject": "math:Trimethylamine_N-oxide", "predicate": "proves", "object": "trimethylamine n-oxide (tmao) is an organic compound with the formula (ch3)3no. it is in the class o"}
{"subject": "math:Dirac_algebra", "predicate": "proves", "object": "in mathematical physics, the dirac algebra is the clifford algebra . this was introduced by the math"}
{"subject": "math:Elliptic_cohomology", "predicate": "proves", "object": "in mathematics, elliptic cohomology is a cohomology theory in the sense of algebraic topology. it is"}
{"subject": "math:Hodge_structure", "predicate": "proves", "object": "in mathematics, a hodge structure, named after w. v. d. hodge, is an algebraic structure at the leve"}
{"subject": "math:Jonathan_Summerton", "predicate": "proves", "object": "jonathan summerton (born april 21, 1988, in kissimmee, florida) is an american race car driver.\n\near"}
{"subject": "math:Well_intervention", "predicate": "proves", "object": "a well intervention, or well work, is any operation carried out on an oil or gas well during, or at "}
{"subject": "math:1933_Grand_Prix_season", "predicate": "proves", "object": "the 1933 grand prix season was an intermediate year, as it would be the last season for the current "}
{"subject": "math:Gordon_Royle", "predicate": "proves", "object": "gordon f. royle is a professor at the school of mathematics and statistics  at the university of wes"}
{"subject": "math:Differentiation_rules", "predicate": "proves", "object": "this is a summary of differentiation rules, that is, rules for computing the derivative of a functio"}
{"subject": "math:Theodor_Schneider", "predicate": "proves", "object": "\n\ntheodor schneider (7 may 1911, frankfurt am main \u2013 31 october 1988, freiburg im breisgau) was a ge"}
{"subject": "math:De_Bruijn_index", "predicate": "proves", "object": "in mathematical logic, the de bruijn index is a tool invented by the dutch mathematician nicolaas go"}
{"subject": "math:Katrin_Wehrheim", "predicate": "proves", "object": "katrin wehrheim (born 1974) is an associate professor of mathematics at the university of california"}
{"subject": "math:Element-reactant-product_table", "predicate": "proves", "object": "an element-reaction-product table is used to find coefficients while balancing an equation represent"}
{"subject": "math:De_Bruijn_notation", "predicate": "proves", "object": "in mathematical logic, the de bruijn notation is a syntax for terms in the \u03bb calculus invented by th"}
{"subject": "math:Maserati_A6GCM", "predicate": "proves", "object": "the maserati a6gcm is a single seater racing car from the italian manufacturer maserati. developed f"}
{"subject": "math:Triethylaluminium", "predicate": "proves", "object": "triethylaluminium is one of the simplest examples of an organoaluminium compound. despite its name t"}
{"subject": "math:Differential_equations_of_addition", "predicate": "proves", "object": "in cryptography, differential equations of addition (dea) are one of the most basic equations relate"}
{"subject": "math:2,6-Lutidine", "predicate": "proves", "object": "2,6-lutidine is a natural heterocyclic aromatic organic compound with the formula (ch3)2c5h3n. it is"}
{"subject": "math:Hyperhomology", "predicate": "proves", "object": "in homological algebra, the hyperhomology or hypercohomology () is a generalization of (co)homology "}
{"subject": "math:Geometric_median", "predicate": "proves", "object": "in geometry, the geometric median of a discrete set of sample points in a euclidean space is the poi"}
{"subject": "math:Montroydite", "predicate": "proves", "object": "montroydite is the mineral form of mercury(ii) oxide with formula hgo. it is a rare mercury mineral."}
{"subject": "math:McLaren_MP4-20", "predicate": "proves", "object": "the mclaren mp4-20 is a formula one racing car that was built by mclaren for the 2005 formula one se"}
{"subject": "math:Williams_FW24", "predicate": "proves", "object": "the williams fw24 was the formula one car with which the williams team competed in the 2002 formula "}
{"subject": "math:Williams_FW26", "predicate": "proves", "object": "the williams fw26 is a formula one racing car designed and built by williams f1 for the 2004 formula"}
{"subject": "math:Cycloheptane", "predicate": "proves", "object": "cycloheptane is a cycloalkane with the molecular formula c7h14. cycloheptane is used as a nonpolar s"}
{"subject": "math:1976_Formula_Atlantic_season_CASC", "predicate": "proves", "object": "the 1976 casc formula atlantic players championship series was contested over 6 rounds. in this one-"}
{"subject": "math:1976_Formula_Atlantic_season_IMSA", "predicate": "proves", "object": "the 1976 imsa formula atlantic players championship series season was contested over 6 rounds. in th"}
{"subject": "math:Kantorovich_theorem", "predicate": "proves", "object": "the kantorovich theorem, or newton\u2013kantorovich theorem, is a mathematical statement on the semi-loca"}
{"subject": "math:Proof_discography", "predicate": "proves", "object": "this is the discography of american rapper proof. it includes solo work as well as collaborative wor"}
{"subject": "math:3-Nitrobenzoic_acid", "predicate": "proves", "object": "3-nitrobenzoic acid is an organic compound with the formula c6h4(no2)co2h. it is an aromatic compoun"}
{"subject": "math:1975_Formula_Atlantic_season", "predicate": "proves", "object": "the 1975 player's canadian formula atlantic series season was contested over 6 rounds. in this one-m"}
{"subject": "math:Macdonald_conjecture", "predicate": "proves", "object": "macdonald conjecture may refer to one of several conjectures:\n\nmacdonald's conjectures about macdona"}
{"subject": "math:Affine_Hecke_algebra", "predicate": "proves", "object": "in mathematics, an affine hecke algebra is the algebra associated to an affine weyl group, and can b"}
{"subject": "math:Free_lattice", "predicate": "proves", "object": "in mathematics, in the area of order theory, a free lattice is the free object corresponding to a la"}
{"subject": "math:Coreset", "predicate": "proves", "object": "in computational geometry, a coreset is a small set of points that approximates the shape of a large"}
{"subject": "math:Dilemma_(disambiguation)", "predicate": "proves", "object": "a dilemma is a double proposition in logics.\n\ndilemma may also refer to:\n\ngeography\n dilemma geyser,"}
{"subject": "math:1981_South_African_Grand_Prix", "predicate": "proves", "object": "the 1981 south african grand prix was a formula libre motor race held on 7 february 1981 at kyalami."}
{"subject": "math:Manifold_Trust", "predicate": "proves", "object": "the manifold trust was created by sir john smith in 1962 to generate funds for conservation in the u"}
{"subject": "math:Mark_Haiman", "predicate": "proves", "object": "mark david haiman is a mathematician at the university of california at berkeley who proved the\nmacd"}
{"subject": "math:Sharadchandra_Shankar_Shrikhande", "predicate": "proves", "object": "sharadchandra shankar shrikhande (19 october 1917 \u2013 21 april 2020) was an indian mathematician with "}
{"subject": "math:Brabham_BT19", "predicate": "proves", "object": "the brabham bt19  is a formula one racing car designed by ron tauranac for the british brabham team."}
{"subject": "math:1978_Formula_Atlantic_season", "predicate": "proves", "object": "the 1978 formula atlantic labatts championship series season was contested over 7 rounds. in this on"}
{"subject": "math:SS_Court_Main_Office", "predicate": "proves", "object": "the ss court main office () - one of the 12 ss main departments - was the legal department of the ss"}
{"subject": "math:GAF_Jindivik", "predicate": "proves", "object": "the gaf jindivik is a radio-controlled target drone produced by the australian government aircraft f"}
{"subject": "math:Cosmetics_&_Toiletries", "predicate": "proves", "object": "cosmetics & toiletries (c&t) is a magazine focusing on research and development in the cosmetics and"}
{"subject": "math:Beyond_a_reasonable_doubt_(disambiguation)", "predicate": "proves", "object": "beyond a reasonable doubt refers to the legal principle of reasonable doubt, the standard of proof r"}
{"subject": "math:Virtually", "predicate": "proves", "object": "in mathematics, especially in the area of abstract algebra that studies infinite groups, the adverb "}
{"subject": "math:Christopher_Budd_(mathematician)", "predicate": "proves", "object": "christopher john budd  (born 15 february 1960) is a british mathematician known especially for his c"}
{"subject": "math:Spring_bud", "predicate": "proves", "object": "spring bud is the color that used to be called spring green before the x11 web color spring green wa"}
{"subject": "math:2002_World_Series_by_Nissan", "predicate": "proves", "object": "the 2002 telef\u00f3nica world series by nissan was contested over 9 race weekends/18 rounds. in this one"}
{"subject": "math:Jungle_green", "predicate": "proves", "object": "jungle green is a color that is a rich tone of medium spring green.\n\nthe specific tone of the color "}
{"subject": "math:AGS_JH21C", "predicate": "proves", "object": "the ags jh21c was the first formula one car used by the french ags team. it was designed by christia"}
{"subject": "math:Mixed_Hodge_module", "predicate": "proves", "object": "in mathematics, mixed hodge modules are the culmination of hodge theory, mixed hodge structures, int"}
{"subject": "math:Shimura_variety", "predicate": "proves", "object": "in number theory, a shimura variety is a higher-dimensional analogue of a modular curve that arises "}
{"subject": "math:Zakspeed_861", "predicate": "proves", "object": "the zakspeed 861 was a formula one car designed by paul brown for the zakspeed team and was used in "}
{"subject": "math:Zakspeed_841", "predicate": "proves", "object": "the zakspeed 841 was the first formula one car built and raced by the german zakspeed team for the  "}
{"subject": "math:Wolf_WR7", "predicate": "proves", "object": "the wolf wr7 was a formula one car built for the 1979 season by the walter wolf racing team. three e"}
{"subject": "math:Spherical_polyhedron", "predicate": "proves", "object": "in geometry, a spherical polyhedron or spherical tiling is a tiling of the sphere in which the surfa"}
{"subject": "math:Strontium_bromide", "predicate": "proves", "object": "strontium bromide is a chemical compound with a formula srbr2. at room temperature it is a white, od"}
{"subject": "math:Veterinary_pharmacist", "predicate": "proves", "object": "a veterinary pharmacist is a specially trained pharmacist who dispenses veterinary drugs and supplie"}
{"subject": "math:1934_Grand_Prix_season", "predicate": "proves", "object": "the 1934 grand prix season saw the advent of the new 750\u00a0kg formula. in an effort to curb the danger"}
{"subject": "math:Atmospheric_radiative_transfer_codes", "predicate": "proves", "object": "an atmospheric radiative transfer model, code, or simulator calculates radiative transfer of electro"}
{"subject": "math:Lagrange_multipliers_on_Banach_spaces", "predicate": "proves", "object": "in the field of calculus of variations in mathematics, the method of lagrange multipliers on banach "}
{"subject": "math:Cask_strength", "predicate": "proves", "object": "cask strength (also known as barrel proof/barrel strength) is a term used by whisky (sometimes spelt"}
{"subject": "math:Minutes_(album)", "predicate": "proves", "object": "minutes is an album by british singer elkie brooks.\n\nbackground \nminutes was brooks' first contempor"}
{"subject": "math:History_of_the_principle_of_inquisition_in_German_", "predicate": "proves", "object": "the principle of inquisition is a form of criminal proceeding developed in italy, which is labeled b"}
{"subject": "math:Batasang_Bayan", "predicate": "proves", "object": "the batasang bayan (, ) was the consultative assembly and legislative advisory council in the philip"}
{"subject": "math:Superegg", "predicate": "proves", "object": "in geometry, a superegg is a solid of revolution obtained by rotating an elongated superellipse  wit"}
{"subject": "math:Fulvene", "predicate": "proves", "object": "fulvene (pentafulvene) is a hydrocarbon with the formula (ch=ch)2c=ch2. it is a prototype of a cross"}
{"subject": "math:Solidarity_unionism", "predicate": "proves", "object": "solidarity unionism is a model of labor organizing in which the workers themselves formulate strateg"}
{"subject": "math:2003_World_Series_by_Nissan", "predicate": "proves", "object": "the 2003 telef\u00f3nica world series by nissan was contested over 9 race weekends/18 rounds. in this one"}
{"subject": "math:BAR_007", "predicate": "proves", "object": "the bar 007  was a formula one car used by british american racing in the 2005 formula one season. t"}
{"subject": "math:Paradoxes_of_set_theory", "predicate": "proves", "object": "this article contains a discussion of paradoxes of set theory. as with most mathematical paradoxes, "}
{"subject": "math:Light_scattering_by_particles", "predicate": "proves", "object": "light scattering by particles is the process by which small particles (e.g. ice crystals, dust, atmo"}
{"subject": "math:2004_World_Series_by_Nissan", "predicate": "proves", "object": "the 2004 world series by nissan was contested over 9 race weekends/18 rounds. in this one-make formu"}
{"subject": "math:2001_Open_Telef\u00f3nica_by_Nissan", "predicate": "proves", "object": "the 2001 open telef\u00f3nica by nissan was contested over 8 race weekends/16 rounds. in this one-make fo"}
{"subject": "math:Hirsch_conjecture", "predicate": "proves", "object": "in mathematical programming and polyhedral combinatorics, the hirsch conjecture is the statement tha"}
{"subject": "math:2004_World_Series_Lights", "predicate": "proves", "object": "the 2004 world series lights season was contested over eight race weekends with 16 races. in this on"}
{"subject": "math:Streamer_(software)", "predicate": "proves", "object": "streamer is a radiative transfer code (key and schweiger, 1988) to calculate radiances (intensities)"}
{"subject": "math:Phase_space_method", "predicate": "proves", "object": "in applied mathematics, the phase space method is a technique for constructing and analyzing solutio"}
{"subject": "math:Semifield", "predicate": "proves", "object": "in mathematics, a semifield is an algebraic structure with two binary operations, addition and multi"}
{"subject": "math:Donald_J._Newman", "predicate": "proves", "object": "donald joseph (d. j.) newman (july 27, 1930 \u2013 march 28, 2007) was an american mathematician. he gave"}
{"subject": "math:Istanbul_Agop_Cymbals", "predicate": "proves", "object": "istanbul agop cymbals is a cymbal producer based in turkey. its products are well respected for thei"}
{"subject": "math:Welltris", "predicate": "proves", "object": "welltris is a puzzle video game, developed by doca and licensed to bullet-proof software. it is an o"}
{"subject": "math:2000_Open_Telefonica_by_Nissan", "predicate": "proves", "object": "the 2000 open telef\u00f3nica by nissan was contested over 8 race weekends/16 rounds. in this one-make fo"}
{"subject": "math:Tyrrell_012", "predicate": "proves", "object": "the tyrrell 012 is a formula one racing car that was designed by maurice philippe for the tyrrell te"}
{"subject": "math:Chlorobutanol", "predicate": "proves", "object": "chlorobutanol (trichloro-2-methyl-2-propanol) is an organic compound with the formula .  the compoun"}
{"subject": "math:Thiophosphoryl_chloride", "predicate": "proves", "object": "thiophosphoryl chloride is an inorganic compound with the chemical formula . it is a colorless punge"}
{"subject": "math:Hemicube_(geometry)", "predicate": "proves", "object": "in abstract geometry, a hemicube is an abstract, regular polyhedron, containing half the faces of a "}
{"subject": "math:Mikhail_Khovanov", "predicate": "proves", "object": "mikhail khovanov (; born 1972) is a russian-american professor of mathematics at columbia university"}
{"subject": "math:Zapus", "predicate": "proves", "object": "zapus is a genus of north american jumping mouse. it is the only genus whose members have the dental"}
{"subject": "math:Somatoparaphrenia", "predicate": "proves", "object": "somatoparaphrenia is a type of monothematic delusion where one denies ownership of a limb or an enti"}
{"subject": "math:G._Anderson", "predicate": "proves", "object": "g. anderson may refer to:\n\n galusha anderson (1832\u20131918), american theologian\n gary anderson (motors"}
{"subject": "math:My_Barbarian", "predicate": "proves", "object": "my barbarian is a los angeles based collaborative theatrical group consisting of malik gaines, jade "}
{"subject": "math:Indian_Grand_Prix", "predicate": "proves", "object": "the indian grand prix was a formula one race in the calendar of the fia formula one world championsh"}
{"subject": "math:Nystr\u00f6m_method", "predicate": "proves", "object": "in mathematics numerical analysis, the nystr\u00f6m method or quadrature method seeks the numerical solut"}
{"subject": "math:Nahm_equations", "predicate": "proves", "object": "in differential geometry and gauge theory, the nahm equations are a system of ordinary differential "}
{"subject": "math:Inverse_problem_for_Lagrangian_mechanics", "predicate": "proves", "object": "in mathematics, the inverse problem for lagrangian mechanics is the problem of determining whether a"}
{"subject": "math:Ethanol_(disambiguation)", "predicate": "proves", "object": "ethanol is a chemical and intoxicant with the formula .\n ethanol (data page)\n\nethanol may also refer"}
{"subject": "math:Ministry_of_Food_Processing_Industries", "predicate": "proves", "object": "the ministry of food processing industries (mofpi) is a ministry of the government of india responsi"}
{"subject": "math:Euclid\u2013Mullin_sequence", "predicate": "proves", "object": "the euclid\u2013mullin sequence is an infinite sequence of distinct prime numbers, in which each element "}
{"subject": "math:FC_Echichens", "predicate": "proves", "object": "fc echichens is a swiss football club, currently in 2nd tier of the swiss football league. it plays "}
{"subject": "math:Walt_Disney_Treasures:_Wave_Seven", "predicate": "proves", "object": "the seventh wave of walt disney treasures was released on december 11, 2007.\n\nthe chronological dona"}
{"subject": "math:Visual_calculus", "predicate": "proves", "object": "visual calculus, invented by mamikon mnatsakanian (known as mamikon), is an approach to solving a va"}
{"subject": "math:Paul_Malliavin", "predicate": "proves", "object": "paul malliavin (; september 10, 1925 \u2013 june 3, 2010) was a french mathematician who made important c"}
{"subject": "math:Cerf_theory", "predicate": "proves", "object": "in mathematics, at the junction of singularity theory and differential topology, cerf theory is the "}
{"subject": "math:Toyota_TF105", "predicate": "proves", "object": "the toyota tf105/105b was a formula one car for the 2005 formula one season. the chassis was designe"}
{"subject": "math:Viviani's_theorem", "predicate": "proves", "object": "viviani's theorem, named after vincenzo viviani, states that the sum of the distances from any inter"}
{"subject": "math:Mantel", "predicate": "proves", "object": "mantel may refer to:\n\nmantel, germany, a town in bavaria, germany\nfireplace mantel, a framework arou"}
{"subject": "math:L\u00b2_cohomology", "predicate": "proves", "object": "in mathematics, l2 cohomology is a cohomology theory for smooth non-compact manifolds m with riemann"}
{"subject": "math:GW2", "predicate": "proves", "object": "gw2 may refer to:\n gears of war 2, a science-fiction third-person shooter\n geometry wars: retro evol"}
{"subject": "math:Optimal_facility_location", "predicate": "proves", "object": "the study of facility location problems (flp), also known as location analysis, is a branch of opera"}
{"subject": "math:Schubert_variety", "predicate": "proves", "object": "in algebraic geometry, a schubert variety is a certain subvariety of a grassmannian,  of -dimensiona"}
{"subject": "math:Standard_conjectures_on_algebraic_cycles", "predicate": "proves", "object": "in mathematics, the standard conjectures about algebraic cycles are several conjectures describing t"}
{"subject": "math:Differentially_closed_field", "predicate": "proves", "object": "in mathematics, a differential field k is differentially closed if every finite system of differenti"}
{"subject": "math:Harald_Ganzinger", "predicate": "proves", "object": "harald ganzinger (31 october 1950, werneck \u2013 3 june 2004, saarbr\u00fccken) was a german computer scienti"}
{"subject": "math:Index_group", "predicate": "proves", "object": "in operator theory, a branch of mathematics, every banach algebra can be associated with a group cal"}
{"subject": "math:Tschirnhausen_cubic", "predicate": "proves", "object": "in algebraic geometry, the tschirnhausen cubic, or tschirnhaus' cubic is a plane curve defined, in i"}
{"subject": "math:Skoda\u2013El_Mir_theorem", "predicate": "proves", "object": "the skoda\u2013el mir theorem is a theorem of complex geometry, \nstated as follows:\n\ntheorem (skoda, el m"}
{"subject": "math:Sam_Bird", "predicate": "proves", "object": "sam jamie bird (born 9 january 1987) is a british professional racing driver, currently set to drive"}
{"subject": "math:Riemann\u2013Hilbert_correspondence", "predicate": "proves", "object": "in mathematics, the term riemann\u2013hilbert correspondence refers to the correspondence between regular"}
{"subject": "math:Trident_Racing", "predicate": "proves", "object": "trident racing is a motor racing team that competes in single-seater formula racing. it was founded "}
{"subject": "math:Allen's_interval_algebra", "predicate": "proves", "object": "allen's interval algebra is a calculus for temporal reasoning that was introduced by james f. allen "}
{"subject": "math:Perfluoroisobutene", "predicate": "proves", "object": "perfluoroisobutene (pfib) is the perfluorocarbon counterpart of the hydrocarbon isobutene and has th"}
{"subject": "math:Bambi's_Dilemma", "predicate": "proves", "object": "bambi's dilemma is the sixth studio album by melt-banana, released on april 24, 2007. it was release"}
{"subject": "math:Territorial_Formula_Financing", "predicate": "proves", "object": "territorial formula financing (tff) is an annual unconditional transfer payment from canada's federa"}
{"subject": "math:1999_Euro_Open_by_Nissan", "predicate": "proves", "object": "the 1999 euro open by nissan was contested over 8 race weekends/16 rounds. in this one-make formula "}
{"subject": "math:Strange_Geometry", "predicate": "proves", "object": "strange geometry is the third studio album by english indie pop band the clientele. the album was re"}
{"subject": "math:Anti-life", "predicate": "proves", "object": "\"antilife\" means antagonistic or antithetical to normal human values, as with:\n\ndehumanization\nmisan"}
{"subject": "math:Ministry_of_Steel", "predicate": "proves", "object": "the ministry of steel is an executive branch agency of the government of india that is responsible f"}
{"subject": "math:Bethe\u2013Salpeter_equation", "predicate": "proves", "object": "the bethe\u2013salpeter equation (named after hans bethe and edwin salpeter) describes the bound states o"}
{"subject": "math:Bent_bond_(disambiguation)", "predicate": "proves", "object": "the term bent bond generally refers to any form of bond in a structure that resembles the shape of a"}
{"subject": "math:Ekanite", "predicate": "proves", "object": "ekanite is an uncommon silicate mineral with chemical formula  or . it is a member of the steacyite "}
{"subject": "math:Yetter\u2013Drinfeld_category", "predicate": "proves", "object": "in mathematics a yetter\u2013drinfeld category is a special type of braided monoidal category.  it consis"}
{"subject": "math:Hochschild_homology", "predicate": "proves", "object": "in mathematics, hochschild homology (and cohomology) is a homology theory for associative algebras o"}
{"subject": "math:Geometric_Langlands_correspondence", "predicate": "proves", "object": "in mathematics, the geometric langlands correspondence is a reformulation of the langlands correspon"}
{"subject": "math:\u20b0", "predicate": "proves", "object": "the symbol \u20b0 can mean:\n a sign for pfennig, the minor coin of the german mark\n dele or deleatur, a p"}
{"subject": "math:Trirhenium_nonachloride", "predicate": "proves", "object": "trirhenium nonachloride is a compound with the formula recl3, sometimes also written re3cl9.  it is "}
{"subject": "math:Dixon_v._United_States", "predicate": "proves", "object": "dixon v. united states, 548 u.s. 1 (2006), was a united states supreme court case concerning the lev"}
{"subject": "math:Braided_Hopf_algebra", "predicate": "proves", "object": "in mathematics, a braided hopf algebra is a hopf algebra in a braided monoidal category. the most co"}
{"subject": "math:Spectral_element_method", "predicate": "proves", "object": "in the numerical solution of partial differential equations, a topic in mathematics, the spectral el"}
{"subject": "math:Lift_(mathematics)", "predicate": "proves", "object": "in category theory, a branch of mathematics, given a morphism f: x \u2192 y and a morphism g: z \u2192 y, a li"}
{"subject": "math:Integral_of_secant_cubed", "predicate": "proves", "object": "the integral of secant cubed is a frequent and challenging indefinite integral of elementary calculu"}
{"subject": "math:1986_Japanese_Formula_Two_Championship", "predicate": "proves", "object": "the 1986 japanese formula two championship was contested over 8 rounds. 12 teams, 19 drivers, 2 chas"}
{"subject": "math:Columbia_School_of_Linguistics", "predicate": "proves", "object": "the columbia school of linguistics is a group of linguists with a radically functional and empirical"}
{"subject": "math:Kathy_Rude", "predicate": "proves", "object": "kathy rude (born 1957) is an american sports car driver who was one of the first female drivers to a"}
{"subject": "math:Sauber_C24", "predicate": "proves", "object": "the sauber c24 was a formula one car built by sauber for the 2005 season.\n\nthe c24 was driven by jac"}
{"subject": "math:Crotyl_group", "predicate": "proves", "object": "a crotyl group is an organic functional group with the formula rch2ch=chch3. systematically, it is c"}
{"subject": "math:2005_Italian_Formula_3000_Championship", "predicate": "proves", "object": "the 2005 trofeo nazionale c.s.a.i. formula 3000 italia was contested over 8 rounds. 9 different team"}
{"subject": "math:Caravelle_Hotel", "predicate": "proves", "object": "the caravelle hotel is located in ho chi minh city, vietnam. the hotel was opened to the public on c"}
{"subject": "math:Monodromy_theorem", "predicate": "proves", "object": "in complex analysis, the monodromy theorem is an important result about analytic continuation of a c"}
{"subject": "math:Permanent", "predicate": "proves", "object": "permanent may refer to:\n\nart and entertainment\npermanent (film), a 2017 american film\npermanent (joy"}
{"subject": "math:Atkinson's_theorem", "predicate": "proves", "object": "in operator theory, atkinson's theorem (named for frederick valentine atkinson) gives a characteriza"}
{"subject": "math:Order_of_Saint_Ferdinand_and_of_Merit", "predicate": "proves", "object": "the illustrious royal order of saint ferdinand and merit is an order of knighthood of the kingdom of"}
{"subject": "math:Parabolic_Lie_algebra", "predicate": "proves", "object": "in algebra, a parabolic lie algebra  is a subalgebra of a semisimple lie algebra  satisfying one of "}
{"subject": "math:Flat_topology", "predicate": "proves", "object": "in mathematics, the flat topology is a grothendieck topology used in algebraic geometry. it is used "}
{"subject": "math:Bapat\u2013Beg_theorem", "predicate": "proves", "object": "in probability theory, the bapat\u2013beg theorem gives the joint probability distribution of order stati"}
{"subject": "math:Rhodium(II)_acetate", "predicate": "proves", "object": "rhodium(ii) acetate  is the coordination compound with the formula rh2(aco)4, where aco\u2212 is the acet"}
{"subject": "math:Ministry_of_Textiles", "predicate": "proves", "object": "the ministry of textiles is an indian government national agency responsible for the formulation of "}
{"subject": "math:Porsche_787", "predicate": "proves", "object": "the porsche 787 is a formula one (f1) racing car built and raced by porsche for one year in 1961.\n\nh"}
{"subject": "math:Monopotassium_phosphite", "predicate": "proves", "object": "monopotassium phosphite is an inorganic compound with the formula kh2po3. a compositionally related "}
{"subject": "math:Thioescaline", "predicate": "proves", "object": "thioescaline (te) is a pair of lesser-known psychedelic drugs with the chemical formula c12h19no2s. "}
{"subject": "math:Proclamation_to_the_inhabitants_of_the_former_Gran", "predicate": "proves", "object": "the proclamation to the inhabitants of the former grand duchy of lithuania was a bilingual proclamat"}
{"subject": "math:Thiomescaline", "predicate": "proves", "object": "thiomescaline (tm) is a pair of lesser-known psychedelic drugs with the molecular formula c11h17no2s"}
{"subject": "math:Tartronic_acid", "predicate": "proves", "object": "tartronic acid or 2-hydroxymalonic acid is an organic compound with the structural formula of hohc(c"}
{"subject": "math:Where_in_the_World_Is_Carmen_Sandiego?_Treasures_o", "predicate": "proves", "object": "where in the world is carmen sandiego? treasures of knowledge (aka where in the world is carmen sand"}
{"subject": "math:Methylcyclopentadiene", "predicate": "proves", "object": "methylcyclopentadiene is any of three isomeric cyclic dialkenes with the formula c5meh5 (me = ch3). "}
{"subject": "math:Domino_tiling", "predicate": "proves", "object": "in geometry, a domino tiling of a region in the euclidean plane is a tessellation of the region by d"}
{"subject": "math:Fox_derivative", "predicate": "proves", "object": "in mathematics, the fox derivative is an algebraic construction in the theory of free groups which b"}
{"subject": "math:Tert-Butyl_chloride", "predicate": "proves", "object": "tert-butyl chloride is the organochloride with the formula .  it is a colorless, flammable liquid. i"}
{"subject": "math:Layer_cake_representation", "predicate": "proves", "object": "in mathematics, the layer cake representation of a non-negative, real-valued measurable function  de"}
{"subject": "math:J\u00fcrgen_Barth", "predicate": "proves", "object": "j\u00fcrgen barth (born 10 december 1947 in thum, saxony) is a german former racecar driver. he is the so"}
{"subject": "math:Alpinestars", "predicate": "proves", "object": "alpinestars is an italian motorsports and action sports safety equipment manufacturer based in asolo"}
{"subject": "math:1946_Grand_Prix_season", "predicate": "proves", "object": "the 1946 grand prix season was the first post-war year for grand prix motor racing. it was notable f"}
{"subject": "math:Triple_product_property", "predicate": "proves", "object": "in abstract algebra, the triple product property is an identity satisfied in some groups.\n\nlet  be a"}
{"subject": "math:Jurbanite", "predicate": "proves", "object": "jurbanite is a sulfate mineral with the chemical formula also4(oh)\u00b75h2o. its molecular weight is 230"}
{"subject": "math:Axiom_of_reducibility", "predicate": "proves", "object": "the axiom of reducibility was introduced by bertrand russell in the early 20th century as part of hi"}
{"subject": "math:Positive_form", "predicate": "proves", "object": "in complex geometry, the term positive form refers to several classes of real differential forms of "}
{"subject": "math:Centralite", "predicate": "proves", "object": "centralite (empirical formula: c17h20n2o) is a gunshot residue also known as ethyl centralite. its i"}
{"subject": "math:Therefore_sign", "predicate": "proves", "object": "in logical argument and mathematical proof, the therefore sign, , is generally used before a logical"}
{"subject": "math:Adipamide", "predicate": "proves", "object": "adipamide is the organic compound with the formula (ch2ch2c(o)nh2)2.  it is a white solid.  the domi"}
{"subject": "math:C7H16", "predicate": "proves", "object": "{{displaytitle:c7h16}}\nthe molecular formula c7h16 may refer to:\n\n dimethylpentanes\n 2,2-dimethylpen"}
{"subject": "math:Proofing_(armour)", "predicate": "proves", "object": "the proofing of armour is testing armour for its defensive ability, most commonly the historical tes"}
{"subject": "math:Unitarity_(physics)", "predicate": "proves", "object": "in quantum physics, unitarity is (or a unitary process has) the condition that the time evolution of"}
{"subject": "math:Fiber_derivative", "predicate": "proves", "object": "in the context of lagrangian mechanics, the fiber derivative is used to convert between the lagrangi"}
{"subject": "math:TOM_(psychedelic)", "predicate": "proves", "object": "tom, or methylthio-methyl-methoxyamphetamine, is a series of lesser-known psychedelic drugs and subs"}
{"subject": "math:Anilinium_chloride", "predicate": "proves", "object": "anilinium chloride is the organic compound with the formula .  a white solid, it is the chloride sal"}
{"subject": "math:1946_Turin_Grand_Prix", "predicate": "proves", "object": "the 1946 turin grand prix was a grand prix motor race held at valentino park on 1 september 1946. it"}
{"subject": "math:Trimethylarsine", "predicate": "proves", "object": "trimethylarsine (abbreviated tma or tmas) is the chemical compound with the formula (ch3)3as, common"}
{"subject": "math:Pseudotriangle", "predicate": "proves", "object": "in euclidean plane geometry, a pseudotriangle (pseudo-triangle) is the simply connected subset of th"}
{"subject": "math:Anderson's_theorem", "predicate": "proves", "object": "in mathematics, anderson's theorem is a result in real analysis and geometry which says that the int"}
{"subject": "math:4-Piperidone", "predicate": "proves", "object": "4-piperidone is an organic compound with the molecular formula .  it can be viewed as a derivative o"}
{"subject": "math:1947_Grand_Prix_season", "predicate": "proves", "object": "the 1947 grand prix season was the second post-war year for grand prix racing. it constituted the fi"}
{"subject": "math:N-Phenethyl-4-piperidinone", "predicate": "proves", "object": "n-phenethyl-4-piperidinone (npp) is a derivative of 4-piperidinone with the molecular formula c13h17"}
{"subject": "math:Benzilic_acid", "predicate": "proves", "object": "benzilic acid is an organic compound with formula  or ()2(ho)c(cooh).  it is a white crystalline aro"}
{"subject": "math:Dimethylbenzylamine", "predicate": "proves", "object": "dimethylbenzylamine is the organic compound with the formula c6h5ch2n(ch3)2. the molecule consists o"}
{"subject": "math:Lambek\u2013Moser_theorem", "predicate": "proves", "object": "the lambek\u2013moser theorem is a mathematical description of partitions of the natural numbers into two"}
{"subject": "math:Dodecylbenzene", "predicate": "proves", "object": "dodecylbenzene is an organic compound with the formula . dodecylbenzene is a colorless liquid with a"}
{"subject": "math:Gelco", "predicate": "proves", "object": "gelco  was a business process management company specializing in employee expense management. it is "}
{"subject": "math:British_Formula_One_Championship", "predicate": "proves", "object": "the british formula one championship, often abbreviated to british f1, was a formula one motor racin"}
{"subject": "math:Nah", "predicate": "proves", "object": "nah or nah may refer to:\n\nplaces\n naha airport (indonesia) (iata airport code: nah), tahuna, sangir "}
{"subject": "math:Mathematical_markup_language", "predicate": "proves", "object": "a mathematical markup language is a computer notation for representing mathematical formulae, based "}
{"subject": "math:Patrick_du_Val", "predicate": "proves", "object": "patrick du val (march 26, 1903 \u2013 january 22, 1987) was a british mathematician, known for his work o"}
{"subject": "math:Positive-definite_function_on_a_group", "predicate": "proves", "object": "in mathematics, and specifically in operator theory, a positive-definite function on a group relates"}
{"subject": "math:1978_British_Formula_One_Championship", "predicate": "proves", "object": "the 1978 british formula one championship (formally the 1978 aurora afx f1 championship) was the fir"}
{"subject": "math:Preimage_theorem", "predicate": "proves", "object": "in mathematics, particularly in the field of differential topology, the preimage theorem is a variat"}
{"subject": "math:W14", "predicate": "proves", "object": "w14 may refer to:\n\n british nvc community w14, a woodland community in the british national vegetati"}
{"subject": "math:Phenylarsonic_acid", "predicate": "proves", "object": "phenylarsonic acid is the chemical compound with the formula c6h5aso(oh)2, commonly abbreviated phas"}
{"subject": "math:Derivation_of_the_Navier\u2013Stokes_equations", "predicate": "proves", "object": "the intent of this article is to highlight the important points of the derivation of the navier\u2013stok"}
{"subject": "math:1979_British_Formula_One_Championship", "predicate": "proves", "object": "the 1979 british formula one championship (formally the 1979 aurora afx f1 championship) was the sec"}
{"subject": "math:1982_British_Formula_One_Championship", "predicate": "proves", "object": "the 1982 british formula one championship was the fourth and final season of the british formula one"}
{"subject": "math:Douglas_Romayne", "predicate": "proves", "object": "douglas romayne (born douglas romayne stevens on june 21, 1964, in corning, ny) is a professional mu"}
{"subject": "math:Salvadoran_passport", "predicate": "proves", "object": "salvadoran passports () are issued to citizens of el salvador to travel outside the country.\n\npasspo"}
{"subject": "math:\u03a0_pad", "predicate": "proves", "object": "the \u03c0 pad (pi pad) is a specific type of attenuator circuit in electronics whereby the topology of t"}
{"subject": "math:Evelyn_Nelson_(mathematician)", "predicate": "proves", "object": "evelyn merle nelson (november 25, 1943 \u2013 august 1, 1987), born evelyn merle roden, was a canadian ma"}
{"subject": "math:Eric_van_Douwen", "predicate": "proves", "object": "eric karel van douwen (april 25, 1946 in voorburg, south holland, netherlands \u2013 july 28, 1987 in ath"}
{"subject": "math:Holmstr\u00f6m's_theorem", "predicate": "proves", "object": "in economics, holmstr\u00f6m's theorem is an impossibility theorem or trilemma attributed to bengt r. hol"}
{"subject": "math:Groundwater_flow", "predicate": "proves", "object": "in hydrogeology, groundwater flow is defined as the \"part of streamflow that has infiltrated the gro"}
{"subject": "math:List_of_representations_of_e", "predicate": "proves", "object": "the mathematical constant  can be represented in a variety of ways as a real number.  since  is an i"}
{"subject": "math:Semiregular_polytope", "predicate": "proves", "object": "in geometry, by thorold gosset's definition a semiregular polytope is usually taken to be a polytope"}
{"subject": "math:Willy_Rampf", "predicate": "proves", "object": "willy rampf (born 20 june 1953) is a german car engineer who is currently a technical consultant for"}
{"subject": "math:Tough_rubber-sheathed_cable", "predicate": "proves", "object": "tough rubber-sheathed cable is a type of cable which normally consists of a black outer sheath of ru"}
{"subject": "math:Two-body_problem_in_general_relativity", "predicate": "proves", "object": "the two-body problem in general relativity (or relativistic two-body problem) is the determination o"}
{"subject": "math:Bifolium", "predicate": "proves", "object": "a bifolium is a quartic plane curve with equation in cartesian coordinates:\n\nconstruction and equati"}
{"subject": "math:Convex_hull_algorithms", "predicate": "proves", "object": "algorithms that construct convex hulls of various objects have a broad range of applications in math"}
{"subject": "math:Sodium_nonanoyloxybenzenesulfonate", "predicate": "proves", "object": "sodium nonanoyloxybenzenesulfonate (nobs) is an important component of laundry detergents and bleach"}
{"subject": "math:List_of_German_Formula_Three_champions", "predicate": "proves", "object": "this article contains a list of german formula three champions. the championship has been in existen"}
{"subject": "math:Appell's_equation_of_motion", "predicate": "proves", "object": "in classical mechanics, appell's equation of motion (aka the gibbs\u2013appell equation of motion) is an "}
{"subject": "math:Sikorsky_S-75", "predicate": "proves", "object": "the sikorsky s-75 was a proof-of-concept all-composite helicopter. sikorsky aircraft used all-compos"}
{"subject": "math:Liouville_dynamical_system", "predicate": "proves", "object": "in classical mechanics, a liouville dynamical system is an exactly solvable  dynamical system in whi"}
{"subject": "math:Hilbert's_theorem_(differential_geometry)", "predicate": "proves", "object": "in differential geometry, hilbert's theorem (1901) states that there exists no complete regular surf"}
{"subject": "math:Oleamide", "predicate": "proves", "object": "oleamide is an organic compound with the formula . it is the amide derived from the fatty acid oleic"}
{"subject": "math:Cs\u00e1sz\u00e1r_polyhedron", "predicate": "proves", "object": "in geometry, the cs\u00e1sz\u00e1r polyhedron () is a nonconvex toroidal polyhedron with 14 triangular faces.\n"}
{"subject": "math:Tin(II)_iodide", "predicate": "proves", "object": "tin(ii) iodide, also known as stannous iodide, is an ionic tin salt of iodine with the formula sni2."}
{"subject": "math:Tin(IV)_iodide", "predicate": "proves", "object": "tin(iv) iodide, also known as stannic iodide, is the chemical compound with the formula sni4.  this "}
{"subject": "math:Primes_in_arithmetic_progression", "predicate": "proves", "object": "in number theory, primes in arithmetic progression are any sequence of at least three prime numbers "}
{"subject": "math:William_Horwitz", "predicate": "proves", "object": "william horwitz (1918 \u2013 september 27, 2006, in olney, maryland) was an analytical chemist who is not"}
{"subject": "math:1,3,5-Trithiane", "predicate": "proves", "object": "1,3,5-trithiane is the chemical compound with the formula (chs).  this heterocycle is the cyclic tri"}
{"subject": "math:Thioformaldehyde", "predicate": "proves", "object": "thioformaldehyde is the organosulfur compound with the formula ch2s.  it is the simplest thioaldehyd"}
{"subject": "math:Ammonium_heptamolybdate", "predicate": "proves", "object": "ammonium heptamolybdate is the inorganic compound whose chemical formula is (nh4)6mo7o24, normally e"}
{"subject": "math:Up_in_Smoke_Tour", "predicate": "proves", "object": "the up in smoke tour was a west coast hip hop tour in 2000 which was headlined by dr. dre and snoop "}
{"subject": "math:Heun's_method", "predicate": "proves", "object": "in mathematics and computational science, heun's method may refer to the improved or modified euler'"}
{"subject": "math:CH2N2", "predicate": "proves", "object": "{{displaytitle:ch2n2}}\nch2n2 may refer to:\n\n cyanamide, an organic compound\n diazirine, class of org"}
{"subject": "math:CH3NO", "predicate": "proves", "object": "{{displaytitle:ch3no}}\nthe molecular formula ch3no (molar mass: 45.04 g/mol, exact mass: 45.0215 u) "}
{"subject": "math:CH4N2O", "predicate": "proves", "object": "{{displaytitle:ch4n2o}}\nthe molecular formula ch4n2o (molar mass: 60.06 g/mol, exact mass: 60.03236 "}
{"subject": "math:CH4N2S", "predicate": "proves", "object": "{{displaytitle:ch4n2s}}\nthe molecular formula ch4n2s (molar mass: 76.12 g/mol, exact mass: 76.0095 u"}
{"subject": "math:Yamabe_problem", "predicate": "proves", "object": "the yamabe problem refers to a conjecture in the mathematical field of differential geometry, which "}
{"subject": "math:Bonnet's_theorem", "predicate": "proves", "object": "in classical mechanics, bonnet's theorem states that if n different force fields each produce the sa"}
{"subject": "math:Penrose_transform", "predicate": "proves", "object": "in theoretical physics, the penrose transform, introduced by , is a complex analogue of the radon tr"}
{"subject": "math:Curvature_of_a_measure", "predicate": "proves", "object": "in mathematics, the curvature of a measure defined on the euclidean plane r2 is a quantification of "}
{"subject": "math:James_W._Rodgers", "predicate": "proves", "object": "james w. rodgers (august 3, 1910 \u2013 march 30, 1960) was an american who was sentenced to death by the"}
{"subject": "math:Montenegrin_passport", "predicate": "proves", "object": "the montenegrin passport () is the primary document for international travel issued by montenegro.\n\n"}
{"subject": "math:Euler's_conjecture", "predicate": "proves", "object": "the mathematician leonhard euler (1707\u20131783) made several different conjectures which are all called"}
{"subject": "math:L-selectride", "predicate": "proves", "object": "l-selectride is a chemical compound with the chemical formula . it is a colorless liquid. it is an o"}
{"subject": "math:Maurice_Philippe", "predicate": "proves", "object": "maurice philippe (30 april 1932 \u2013 5 june 1989), also known as maurice phillippe, was a british aircr"}
{"subject": "math:Baum\u2013Connes_conjecture", "predicate": "proves", "object": "in mathematics, specifically in operator k-theory, the baum\u2013connes conjecture suggests a link betwee"}
{"subject": "math:Hidehiko_Yamabe", "predicate": "proves", "object": "was a japanese mathematician.  above all, he is famous for discovering that every conformal class on"}
{"subject": "math:Weyl_integral", "predicate": "proves", "object": "in mathematics, the weyl integral (named after hermann weyl) is an operator defined, as an example o"}
{"subject": "math:Norwegian_passport", "predicate": "proves", "object": "a norwegian passport (, ) is the passport issued to nationals of norway for the purpose of internati"}
{"subject": "math:Antimony(III)_acetate", "predicate": "proves", "object": "antimony(iii) acetate is the compound of antimony with the chemical formula of sb(ch3co2)3. it is a "}
{"subject": "math:Liechtenstein_passport", "predicate": "proves", "object": "liechtenstein passports are issued to nationals of liechtenstein for the purpose of international tr"}
{"subject": "math:Polar_angle", "predicate": "proves", "object": "in geometry, the polar angle may be\n 2d polar angle, the angular coordinate of a two-dimensional pol"}
{"subject": "math:Potassium_tetrachloroplatinate", "predicate": "proves", "object": "potassium tetrachloroplatinate(ii) is the chemical compound with the formula k2ptcl4. this reddish o"}
{"subject": "math:Education_in_Peru", "predicate": "proves", "object": "education in peru is under the jurisdiction of the ministry of education, which oversees formulating"}
{"subject": "math:Lab_block", "predicate": "proves", "object": "lab block is the specially formulated food fed to mice and rats kept in a laboratory. it is commonly"}
{"subject": "math:Fourier_algebra", "predicate": "proves", "object": "fourier and related algebras occur naturally in the harmonic analysis of locally compact groups. the"}
{"subject": "math:Jordan_EJ12", "predicate": "proves", "object": "the jordan ej12 was the car with which the jordan team competed in the  formula one season. the car "}
{"subject": "math:Jordan_EJ13", "predicate": "proves", "object": "the jordan ej13 was the car with which the jordan team competed in the 2003 formula one season.\nthe "}
{"subject": "math:Jordan_EJ15", "predicate": "proves", "object": "the jordan ej15 was the fifteenth and last jordan formula one car. it was used by the team to compet"}
{"subject": "math:Double_complex", "predicate": "proves", "object": "in mathematics, specifically homological algebra, a double complex is a generalization of a chain co"}
{"subject": "math:Supersymmetry_algebras_in_1_+_1_dimensions", "predicate": "proves", "object": "a two dimensional minkowski space, i.e. a flat space with one time and one spatial dimension, has a "}
{"subject": "math:Super_Speeds", "predicate": "proves", "object": "super speeds is a company in india which designs and constructs open-wheeled formula cars for indian"}
{"subject": "math:Stefan's_formula", "predicate": "proves", "object": "in thermodynamics, stefan's formula says that the specific surface energy at a given interface is de"}
{"subject": "math:Siegel's_lemma", "predicate": "proves", "object": "in mathematics, specifically in transcendental number theory and diophantine approximation, siegel's"}
{"subject": "math:Scaling_and_root_planing", "predicate": "proves", "object": "scaling and root planing, also known as conventional periodontal therapy, non-surgical periodontal t"}
{"subject": "math:Auxiliary_function", "predicate": "proves", "object": "in mathematics, auxiliary functions are an important construction in transcendental number theory.  "}
{"subject": "math:List_of_Formula_One_Grand_Prix_winners_(constructo", "predicate": "proves", "object": "formula one, abbreviated to f1, is the highest class of open-wheeled auto racing defined by the f\u00e9d\u00e9"}
{"subject": "math:Proof_of_Youth", "predicate": "proves", "object": "proof of youth is the second studio album by english band the go! team. it was released on 10 septem"}
{"subject": "math:Bloch's_theorem_(complex_variables)", "predicate": "proves", "object": "in complex analysis, a branch of mathematics, bloch's theorem describes the behaviour of holomorphic"}
{"subject": "math:Ryszard_Engelking", "predicate": "proves", "object": "ryszard engelking (born 1935-11-16 in sosnowiec) is a polish mathematician. he was working mainly on"}
{"subject": "math:Polystannane", "predicate": "proves", "object": "polystannanes are organotin compounds with the formula (r2sn)n.  these polymers have been of intermi"}
{"subject": "math:Arzani-Volpini", "predicate": "proves", "object": "arzani-volpini (also known as scuderia volpini) was an italian formula one constructor, established "}
{"subject": "math:1963_Australian_Formula_Junior_Championship", "predicate": "proves", "object": "the 1963 australian formula junior championship was open to racing cars complying with \"australian f"}
{"subject": "math:Bonnet_theorem", "predicate": "proves", "object": "in the mathematical field of differential geometry, the fundamental theorem of surface theory deals "}
{"subject": "math:Williams_FW10", "predicate": "proves", "object": "the williams fw10 is a formula one car designed by frank dernie for use by the williams team in the "}
{"subject": "math:Knowledge_space", "predicate": "proves", "object": "in mathematical psychology and education theory, a knowledge space is a combinatorial structure used"}
{"subject": "math:Raman_Parimala", "predicate": "proves", "object": "raman parimala (born 21 november 1948) is an indian mathematician known for her contributions to alg"}
{"subject": "math:Mathieu_wavelet", "predicate": "proves", "object": "the mathieu equation is a linear second-order differential equation with periodic coefficients. the "}
{"subject": "math:Arena_Theatre,_Wolverhampton", "predicate": "proves", "object": "{\n  \"type\": \"featurecollection\",\n  \"features\": [\n    {\n      \"type\": \"feature\",\n      \"properties\": "}
{"subject": "math:Kim_Tae-gyun_(baseball,_born_1971)", "predicate": "proves", "object": "kim tae-gyun (hangul: \uae40\ud0dc\uade0; born august 19, 1971) is a former south korean baseball player.\n\nnot know"}
{"subject": "math:Shelling", "predicate": "proves", "object": "shelling may refer to:\n shell (projectile), explosive used in wars\n searching for seashells\n shellin"}
{"subject": "math:Bob_Earl", "predicate": "proves", "object": "bob earl (born january 13, 1950) is an american former racing driver from claremont, california. he "}
{"subject": "math:Cottrell_equation", "predicate": "proves", "object": "in electrochemistry, the cottrell equation describes the change in electric current with respect to "}
{"subject": "math:Quas_primas", "predicate": "proves", "object": "(from latin: \"in the first\") was an encyclical of pope pius xi. promulgated on december 11, 1925, it"}
{"subject": "math:Algebraic_Logic_Functional_programming_language", "predicate": "proves", "object": "algebraic logic functional (alf) programming language combines functional and logic programming tech"}
{"subject": "math:Richard_Lyons_(racing_driver)", "predicate": "proves", "object": "richard william lyons (born 8 august 1979) is a british motor racing driver that competed in the jap"}
{"subject": "math:1975_Race_of_Champions", "predicate": "proves", "object": "the 1975 race of champions was a non-championship formula one race held at brands hatch on 16 march "}
{"subject": "math:Formula_RUS", "predicate": "proves", "object": "formula rus (\u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u0440\u0443\u0441\u044c) was a russian formula racing class, corresponding to fia's formula \u0435 cate"}
{"subject": "math:Das_Dritte_Reich", "predicate": "proves", "object": "is a 1923 book by the german author arthur moeller van den bruck, whose ideology heavily influenced "}
{"subject": "math:Number_sentence", "predicate": "proves", "object": "in mathematics education, a number sentence is an equation or inequality expressed using numbers and"}
{"subject": "math:2,5-Dimethylfuran", "predicate": "proves", "object": "2,5-dimethylfuran is a heterocyclic compound with the formula (ch3)2c4h2o. although often abbreviate"}
{"subject": "math:FEFLOW", "predicate": "proves", "object": "feflow (finite element subsurface flow system) is a computer program for simulating groundwater flow"}
{"subject": "math:Namako_wall", "predicate": "proves", "object": "namako wall or namako-kabe (sometimes misspelled as nameko) is a japanese wall design widely used fo"}
{"subject": "math:Ukrainian_passport", "predicate": "proves", "object": "the ukrainian passport () is a document issued for nationals of ukraine as proof of ukrainian citize"}
{"subject": "math:Giac", "predicate": "proves", "object": "giac or giac may refer to:\n\n global information assurance certification, an information security cer"}
{"subject": "math:Wolfgang_Smith", "predicate": "proves", "object": "wolfgang smith (born february 18, 1930 in vienna, austria) is a mathematician, physicist, philosophe"}
{"subject": "math:2007_Formula_RUS_season", "predicate": "proves", "object": "the 2007 season of formula rus motor racing, a russian formula racing class.\n\nstage 1\n\nstage 1 took "}
{"subject": "math:Mazur's_lemma", "predicate": "proves", "object": "in mathematics, mazur's lemma is a result in the theory of normed vector spaces. it shows that any w"}
{"subject": "math:Tonelli's_theorem_(functional_analysis)", "predicate": "proves", "object": "in mathematics, tonelli's theorem in functional analysis is a fundamental result on the weak lower s"}
{"subject": "math:Pseudo-monotone_operator", "predicate": "proves", "object": "in mathematics, a pseudo-monotone operator from a reflexive banach space into its continuous dual sp"}
{"subject": "math:Browder\u2013Minty_theorem", "predicate": "proves", "object": "in mathematics, the browder\u2013minty theorem (sometimes called the minty\u2013browder theorem) states that a"}
{"subject": "math:Timeline_of_algebra", "predicate": "proves", "object": "the following is a timeline of key developments of algebra:\n\nsee also\n \n history of algebra \u2013 histor"}
{"subject": "math:Royal_Canadian_Mint_numismatic_coins_(2000s)", "predicate": "proves", "object": "one of the most highly profitable aspects of the royal canadian mint's enterprise is in its numismat"}
{"subject": "math:Jess_Goldstein", "predicate": "proves", "object": "jess goldstein is an american costume designer. he has designed over 30 broadway shows, including je"}
{"subject": "math:Motorsport_in_the_United_Kingdom", "predicate": "proves", "object": "motorsport is a popular sport in the united kingdom. the united kingdom is a key player in the world"}
{"subject": "math:Rod_calculus", "predicate": "proves", "object": "rod calculus or rod calculation was the mechanical method of algorithmic computation with counting r"}
{"subject": "math:Professor_Sat\u00f3's_Three_Formulae,_Volume_1:_Mortime", "predicate": "proves", "object": "professor sat\u00f3's 3 formulae, volume 1: mortimer in tokyo is the eleventh book in the blake and morti"}
{"subject": "math:Professor_Sat\u00f3's_Three_Formulae,_Volume_2:_Mortime", "predicate": "proves", "object": "professor sat\u00f3's 3 formulae, volume 2: mortimer vs. mortimer was the twelfth book in the blake and m"}
{"subject": "math:Hideous_(liqueur)", "predicate": "proves", "object": "hideous is a berry- and citrus-flavored liqueur, produced by hideous, l.c., a company based in the u"}
{"subject": "math:Anarta", "predicate": "proves", "object": "{\n  \"type\": \"featurecollection\",\n  \"features\": [\n    {\n      \"type\": \"feature\",\n      \"properties\": "}
{"subject": "math:Primitive_part_and_content", "predicate": "proves", "object": "in algebra, the content of a nonzero polynomial with integer coefficients (or, more generally,  with"}
{"subject": "math:Natural_topology", "predicate": "proves", "object": "in any domain of mathematics, a space has a natural topology if there is a topology on the space whi"}
{"subject": "math:Cartan\u2013Hadamard_theorem", "predicate": "proves", "object": "in mathematics, the cartan\u2013hadamard theorem is a statement in riemannian geometry concerning the str"}
{"subject": "math:The_New_York_Journal_of_Mathematics", "predicate": "proves", "object": "the new york journal of mathematics is a peer-reviewed journal focusing on algebra, analysis, geomet"}
{"subject": "math:Hydrogen_isocyanide", "predicate": "proves", "object": "hydrogen isocyanide is a chemical with the molecular formula hnc. it is a minor tautomer of hydrogen"}
{"subject": "math:2\u03c0_theorem", "predicate": "proves", "object": "in mathematics, the  theorem of gromov and thurston states a sufficient condition for dehn filling o"}
{"subject": "math:1,3-Dioxetane", "predicate": "proves", "object": "1,3-dioxetane (1,3-dioxacyclobutane) is a heterocyclic organic compound with formula c2o2h4, whose b"}
{"subject": "math:C2H", "predicate": "proves", "object": "c2h or c2h may refer to:\n\nscience \n ethynyl radical, an organic compound with the chemical formula c"}
{"subject": "math:Blaschke_selection_theorem", "predicate": "proves", "object": "the blaschke selection theorem is a result in topology and convex geometry about sequences of convex"}
{"subject": "math:Derek_Gardner_(designer)", "predicate": "proves", "object": "derek gardner (19 september 1931 \u2013 7 january 2011) was a car designer known for designing advanced t"}
{"subject": "math:Eric_Slick", "predicate": "proves", "object": "eric slick (born may 15, 1987) is an american singer, songwriter and drummer. he is the drummer of d"}
{"subject": "math:Kolmogorov's_theorem", "predicate": "proves", "object": "kolmogorov's theorem is any of several different results by andrey kolmogorov:\n\nin statistics\n kolmo"}
{"subject": "math:Caristi_fixed-point_theorem", "predicate": "proves", "object": "in mathematics, the caristi fixed-point theorem (also known as the caristi\u2013kirk fixed-point theorem)"}
{"subject": "math:Gigantic_Formula", "predicate": "proves", "object": ", also known as apo mekhanes theos gigantic formula, is a japanese anime television series that aire"}
{"subject": "math:William_Arthur_Kirk", "predicate": "proves", "object": "william arthur (\"art\") kirk was an american mathematician. his research interests include nonlinear "}
{"subject": "math:Roscoelite", "predicate": "proves", "object": "roscoelite is a green mineral from the mica group that contains vanadium.\nthe chemical formula is k("}
{"subject": "math:Hamada's_equation", "predicate": "proves", "object": "in corporate finance, hamada\u2019s equation is an equation used as a way to separate the financial risk "}
{"subject": "math:Ayesha_Faridi", "predicate": "proves", "object": "ayesha faridi (born 8 february 1979) is an anchor for the indian business news channel et now.\n\ncare"}
{"subject": "math:Control_plane", "predicate": "proves", "object": "in network routing, the control plane is the part of the router architecture that is concerned with "}
{"subject": "math:Finitely_generated_algebra", "predicate": "proves", "object": "in mathematics, a finitely generated algebra (also called an algebra of finite type) is a commutativ"}
{"subject": "math:Affine_algebra", "predicate": "proves", "object": "affine algebra may refer to:\n affine lie algebra, a type of kac\u2013moody algebras\n the lie algebra of t"}
{"subject": "math:Arrows_A23", "predicate": "proves", "object": "the arrows a23 is a formula one racing car, used by the arrows team during the 2002 formula one seas"}
{"subject": "math:Hyalophane", "predicate": "proves", "object": "hyalophane or jaloallofane is a crystalline mineral, part of the feldspar group of tectosilicates. i"}
{"subject": "math:Stephen_Jelley", "predicate": "proves", "object": "stephen david jelley (born 12 may 1982) is a british racing driver currently competing in the britis"}
{"subject": "math:Vanadium(III)_sulfate", "predicate": "proves", "object": "vanadium(iii) sulfate is the inorganic compound with the formula v2(so4)3.  it is a pale yellow soli"}
{"subject": "math:Molybdenum_dioxide", "predicate": "proves", "object": "molybdenum dioxide is the chemical compound with the formula moo. it is a violet-colored solid and i"}
{"subject": "math:Estonian_passport", "predicate": "proves", "object": "an estonian passport () is an international travel document issued to citizens of estonia, and may a"}
{"subject": "math:Star-shaped_polygon", "predicate": "proves", "object": "in geometry, a star-shaped polygon is a polygonal region in the plane that is a star domain, that is"}
{"subject": "math:Loewner's_torus_inequality", "predicate": "proves", "object": "in differential geometry, loewner's torus inequality is an inequality due to charles loewner.  it re"}
{"subject": "math:Visibility_polygon", "predicate": "proves", "object": "in computational geometry, the visibility polygon or visibility region for a point  in the plane amo"}
{"subject": "math:Monotone_polygon", "predicate": "proves", "object": "in geometry, a polygon p in the plane is called monotone with respect to a straight line l, if every"}
{"subject": "math:Glow_plug_(diesel_engine)", "predicate": "proves", "object": "in a diesel engine, a glow plug (also spelled glowplug) is a heating device used to aid starting of "}
{"subject": "math:Jocelyn_Moorhouse", "predicate": "proves", "object": "jocelyn denise moorhouse (born 4 september 1960) is an australian screenwriter and film director. sh"}
{"subject": "math:Pu's_inequality", "predicate": "proves", "object": "in differential geometry, pu's inequality, proved by pao ming pu, relates the area of an arbitrary r"}
{"subject": "math:Tego", "predicate": "proves", "object": "tego may refer to:\n\ntego (toego), bhutanese clothing\ntego film, an adhesive sheet used in the manufa"}
{"subject": "math:Ethylenediamine_pyrocatechol", "predicate": "proves", "object": "ethylenediamine pyrocatechol (edp), also known as ethylenediamine-pyrocatechol-water (epw), is an an"}
{"subject": "math:Haxonite", "predicate": "proves", "object": "haxonite is an iron nickel carbide mineral found in iron meteorites and carbonaceous chondrites. it "}
{"subject": "math:Grip_Like_a_Vice", "predicate": "proves", "object": "\"grip like a vice\" is a single from the album proof of youth by  the go! team. it was released on ju"}
{"subject": "math:Planar_straight-line_graph", "predicate": "proves", "object": "in computational geometry and geometric graph theory, a planar straight-line graph (or straight-line"}
{"subject": "math:1964_Australian_Formula_2_Championship", "predicate": "proves", "object": "the 1964 australian formula 2 championship was a cams sanctioned australian motor racing title for r"}
{"subject": "math:Shit_kicker", "predicate": "proves", "object": "shit kicker or shitkicker may refer to:\n\n a pejorative and slang insult; see \n combat boots, militar"}
{"subject": "math:Le_Coucher_de_la_Mari\u00e9e", "predicate": "proves", "object": ", bedtime for the bride, or the bridegroom's dilemma is a french erotic short film considered to be "}
{"subject": "math:Porsche_LMP2000", "predicate": "proves", "object": "the porsche lmp2000 (also known as the porsche 9r3) is a le mans prototype racing car that was devel"}
{"subject": "math:Kiiti_Morita", "predicate": "proves", "object": "was a japanese mathematician working in algebra and topology.\n\nmorita was born in 1915 in hamamatsu,"}
{"subject": "math:Morita_conjectures", "predicate": "proves", "object": "the morita conjectures in general topology are certain problems about normal spaces, now solved in t"}
{"subject": "math:Enhanced_heat_transfer", "predicate": "proves", "object": "heat exchangers were initially developed to use plain (or smooth) heat transfer surfaces. an enhance"}
{"subject": "math:Gromov's_inequality_for_complex_projective_space", "predicate": "proves", "object": "in riemannian geometry, gromov's optimal stable 2-systolic inequality is the inequality\n\n ,\n\nvalid f"}
{"subject": "math:Dowker_space", "predicate": "proves", "object": "in the mathematical field of general topology, a dowker space is a topological space that is t4 but "}
{"subject": "math:K\u00f6hntark\u00f6sz", "predicate": "proves", "object": "k\u00f6hntark\u00f6sz is the fifth studio album by french band magma, released on 10 september 1974.\n\nthe titl"}
{"subject": "math:Terephthalic_acid_(data_page)", "predicate": "proves", "object": "this page provides supplementary chemical data on terephthalic acid,  the organic compound and one o"}
{"subject": "math:Lotus_39", "predicate": "proves", "object": "the lotus 39 was a single-seat racing car produced by team lotus. it was originally intended for use"}
{"subject": "math:Shapley\u2013Shubik_power_index", "predicate": "proves", "object": "the shapley\u2013shubik power index was formulated by lloyd shapley and martin shubik in 1954 to measure "}
{"subject": "math:Institute_of_Mathematics_(National_Academy_of_Scie", "predicate": "proves", "object": "the institute of mathematics of the national academy of sciences of belarus was founded in 1959. it "}
{"subject": "math:Polygonal_chain", "predicate": "proves", "object": "in geometry, a polygonal chain is a connected series of line segments. more formally, a polygonal ch"}
{"subject": "math:Octadecaborane", "predicate": "proves", "object": "octadecaborane is an inorganic compound, a borane with chemical formula b18h22. it is a colorless fl"}
{"subject": "math:History_of_gunpowder", "predicate": "proves", "object": "gunpowder is the first explosive to have been developed. popularly listed as one of the \"four great "}
{"subject": "math:COSE", "predicate": "proves", "object": "cose or cose may refer to:\ncommon open software environment, a 1993 unix initiative\ncouncil of small"}
{"subject": "math:N-Hydroxysuccinimide", "predicate": "proves", "object": "n-hydroxysuccinimide (nhs) is an organic compound with the formula (ch2co)2noh.  it is a white solid"}
{"subject": "math:Gromov's_systolic_inequality_for_essential_manifol", "predicate": "proves", "object": "in the mathematical field of riemannian geometry, m. gromov's systolic inequality bounds the length "}
{"subject": "math:Filminute", "predicate": "proves", "object": "filminute is the international one-minute film festival dedicated to presenting, promoting and award"}
{"subject": "math:Jason_Watt", "predicate": "proves", "object": "jason watt (born 24 february 1970) is a danish racing driver. watt enjoyed a fruitful karting career"}
{"subject": "math:Imaginary_curve", "predicate": "proves", "object": "in algebraic geometry an imaginary curve is an algebraic curve which does not contain any real point"}
{"subject": "math:Ernest_de_Jonqui\u00e8res", "predicate": "proves", "object": "ernest jean philippe fauque de jonqui\u00e8res (born carpentras, france 3 july 1820; died mousans-sartoux"}
{"subject": "math:Get_Fired_Up", "predicate": "proves", "object": "get fired up is the debut album of murk as funky green dogs. it was released on twisted america/mca "}
{"subject": "math:Bureau_of_Population,_Refugees,_and_Migration", "predicate": "proves", "object": "the bureau of population, refugees, and migration (prm) is a bureau within the united states departm"}
{"subject": "math:Prodrive_(disambiguation)", "predicate": "proves", "object": "prodrive may refer to:\n\n prodrive, a motorsport and automotive engineering group based in banbury, o"}
{"subject": "math:Silencer_(Nels_Cline_Trio_album)", "predicate": "proves", "object": "silencer is an album by the american jazz group the nels cline trio, released in 1992.\n\ncritical rec"}
{"subject": "math:Filling_area_conjecture", "predicate": "proves", "object": "in differential geometry, mikhail gromov's filling area conjecture asserts that the hemisphere has m"}
{"subject": "math:Fireproof_Building", "predicate": "proves", "object": "the fireproof building, also known as the county records building, is located at 100 meeting street,"}
{"subject": "math:Slepian's_lemma", "predicate": "proves", "object": "in probability theory, slepian's lemma (1962), named after david slepian, is a gaussian comparison i"}
{"subject": "math:Minimum_bounding_box", "predicate": "proves", "object": "in geometry, the minimum bounding box or smallest bounding box (also known as the minimum enclosing "}
{"subject": "math:Johnson_circles", "predicate": "proves", "object": "in geometry, a set of johnson circles comprises three circles of equal radius  sharing one common po"}
{"subject": "math:Minimum_bounding_box_algorithms", "predicate": "proves", "object": "in computational geometry, the smallest enclosing box problem is that of finding the oriented minimu"}
{"subject": "math:Tuna_Kiremit\u00e7i", "predicate": "proves", "object": "tuna kiremit\u00e7i (born 24 february 1973) is a contemporary turkish singer-songwriter and crime author."}
{"subject": "math:Bunny_boots", "predicate": "proves", "object": "bunny boots or mickey mouse boots (depending on the version) are the most common nicknames for the e"}
{"subject": "math:Wirtinger_inequality_(2-forms)", "predicate": "proves", "object": "for other inequalities named after wirtinger, see wirtinger's inequality.\n\nin mathematics, the wirti"}
{"subject": "math:C11H17NO3", "predicate": "proves", "object": "{{displaytitle:c11h17no3}}\nthe molecular formula c11h17no3 (molar mass: 211.25 g/mol, exact mass: 21"}
{"subject": "math:Joins_(concurrency_library)", "predicate": "proves", "object": "joins is an asynchronous concurrent computing api (join-pattern) from microsoft research for the .ne"}
{"subject": "math:Safir_Engineering", "predicate": "proves", "object": "safir engineering is a british racecar engineering firm.\n\nin 1975, they purchased the token rj02 for"}
{"subject": "math:Bulgarian_passport", "predicate": "proves", "object": "a bulgarian passport () is an international travel document issued to nationals of bulgaria, and may"}
{"subject": "math:Members_of_Parliament_Local_Area_Development_Schem", "predicate": "proves", "object": "members of parliament local area development scheme (mplads) is a scheme formulated by government of"}
{"subject": "math:Soundproof_(group)", "predicate": "proves", "object": "soundproof are english dubstep producers and djs born and raised in west london. jamie and yung-e (s"}
{"subject": "math:C2H4O", "predicate": "proves", "object": "the molecular formula  (molar mass: 44.05 g/mol, exact mass: 44.0262 u) may refer to:\n\n acetaldehyde"}
{"subject": "math:C2H2O", "predicate": "proves", "object": "{{displaytitle:c2h2o}}\nthe molecular formula c2h2o (molar mass: 42.04 g/mol, exact mass: 42.0106 u) "}
{"subject": "math:C2H2O2", "predicate": "proves", "object": "{{displaytitle:c2h2o2}}\nthe molecular formula c2h2o2 may refer to:\n\n acetylenediol, or ethynediol: \n"}
{"subject": "math:C2H3ClO", "predicate": "proves", "object": "{{displaytitle:c2h3clo}}\nthe molecular formula c2h3clo (molar mass: 78.50 g/mol, exact mass: 77.9872"}
{"subject": "math:C2H3N", "predicate": "proves", "object": "{{displaytitle:c2h3n}}\nthe molecular formula c2h3n (molar mass: 41.05 g/mol, exact mass: 41.0265 u) "}
{"subject": "math:C2H5NO", "predicate": "proves", "object": "{{displaytitle:c2h5no}}\nthe molecular formula c2h5no (molar mass: 59.07 g/mol, exact mass: 59.03711 "}
{"subject": "math:C2H5NO2", "predicate": "proves", "object": "{{displaytitle:c2h5no2}}\nthe molecular formula c2h5no2 (molar mass: 75.07 g/mol, exact mass: 75.0320"}
{"subject": "math:C2H6OS", "predicate": "proves", "object": "{{displaytitle:c2h6os}}\nthe molecular formula c2h6os (molar mass: 78.13 g/mol, exact mass: 78.0139 u"}
{"subject": "math:C2H6O2", "predicate": "proves", "object": "the molecular formula c2h6o2 (molar mass: 62.07 g/mol, exact mass: 62.03678 u) may refer to:\n\n ethyl"}
{"subject": "math:C2H6S", "predicate": "proves", "object": "{{displaytitle:c2h6s}}\nthe molecular formula c2h6s (molar mass: 62.13 g/mol, exact mass: 62.0190 u) "}
{"subject": "math:C2H7N", "predicate": "proves", "object": "{{displaytitle:c2h7n}}\nthe molecular formula c2h7n (molar mass: 45.07 g/mol, exact mass: 45.0579 u) "}
{"subject": "math:C2H7NO", "predicate": "proves", "object": "{{displaytitle:c2h7no}}\nc2h7no may refer to:\n 1-aminoethanol, an organic compound with the formula c"}
{"subject": "math:C2H8N2", "predicate": "proves", "object": "{{displaytitle:c2h8n2}}\nthe molecular formula c2h8n2 (molar mass: 60.10 g/mol, exact mass: 60.0688 u"}
{"subject": "math:KKM", "predicate": "proves", "object": "kkm may refer to:\n\n knaster\u2013kuratowski\u2013mazurkiewicz lemma, in mathematics\n kyo kara maoh!, a series "}
{"subject": "math:LOP", "predicate": "proves", "object": "lop may refer to:\n\n landscape of practice in social science\n language oriented programming\n legion o"}
{"subject": "math:Vector_Analysis", "predicate": "proves", "object": "vector analysis is a textbook by edwin bidwell wilson, first published in 1901 and based on the lect"}
{"subject": "math:C3H6O2", "predicate": "proves", "object": "{{displaytitle:c3h6o2}}\nthe molecular formula c3h6o2 may refer to:\n\nacids and esters\n\nacid\npropanoic"}
{"subject": "math:SAT_Subject_Test_in_Mathematics_Level_1", "predicate": "proves", "object": "the sat subject test in mathematics level 1 (formerly known as math i or mathic (the \"c\" representin"}
{"subject": "math:Uniform_tiling", "predicate": "proves", "object": "in geometry, a uniform tiling is a tessellation of the plane by regular polygon faces with the restr"}
{"subject": "math:Red_Bull_RB1", "predicate": "proves", "object": "the red bull rb1 is a formula one racing car designed by jaguar racing for use in the 2005 season. h"}
{"subject": "math:Dynkin's_formula", "predicate": "proves", "object": "in mathematics \u2014 specifically, in stochastic analysis \u2014 dynkin's formula is a theorem giving the exp"}
{"subject": "math:C3H2ClF5O", "predicate": "proves", "object": "{{displaytitle:c3h2clf5o}}\nthe molecular formula c3h2clf5o (molar mass: 184.49 g/mol, exact mass: 18"}
{"subject": "math:C3H3NO", "predicate": "proves", "object": "{{displaytitle:c3h3no}}\nthe molecular formula c3h3no (molar mass: 69.06 g/mol, exact mass: 69.02146 "}
{"subject": "math:C3H3NS", "predicate": "proves", "object": "{{displaytitle:c3h3ns}}\nthe molecular formula c3h3ns (molar mass: 85.13 g/mol, exact mass: 84.9986 u"}
{"subject": "math:Tanaka_equation", "predicate": "proves", "object": "in mathematics, tanaka's equation is an example of a stochastic differential equation which admits a"}
{"subject": "math:It\u00f4_diffusion", "predicate": "proves", "object": "in mathematics \u2013 specifically, in stochastic analysis \u2013 an it\u00f4 diffusion is a solution to a specific"}
{"subject": "math:Clark's_rule", "predicate": "proves", "object": "clark's rule is a medical term referring to a mathematical formula used to calculate the proper dosa"}
{"subject": "math:Protos_(constructor)", "predicate": "proves", "object": "the protos was a wingless formula 2 racing car that appeared in 1967. powered by the then-standard f"}
{"subject": "math:Increment_theorem", "predicate": "proves", "object": "in nonstandard analysis, a field of mathematics, the increment theorem states the following: suppose"}
{"subject": "math:Australian_Drivers'_Championship", "predicate": "proves", "object": "the australian drivers' championship was a motor racing championship contested annually from 1957 to"}
{"subject": "math:C3H5ClO", "predicate": "proves", "object": "{{displaytitle:c3h5clo}}\nthe molecular formula c3h5clo (molar mass: 92.52 g/mol, exact mass: 92.0029"}
{"subject": "math:C3H4O4", "predicate": "proves", "object": "{{displaytitle:c3h4o4}}\nthe molecular formula c3h4o4 (molar mass: 104.06 g/mol) may refer to:\n\n glyc"}
{"subject": "math:C3H4O3", "predicate": "proves", "object": "{{displaytitle:c3h4o3}}\nthe molecular formula c3h4o3 (molar mass: 88.06 g/mol) may refer to:\n\n aceti"}
{"subject": "math:C3H4O", "predicate": "proves", "object": "{{displaytitle:c3h4o}}\n\nc3h4o is a chemical formula that represents each of several actual and hypot"}
{"subject": "math:C3H9N", "predicate": "proves", "object": "{{displaytitle:c3h9n}}\nthe molecular formula c3h9n (molar mass: 59.11 g/mol) may refer to:\n\nethylmet"}
{"subject": "math:Marcel_Berger", "predicate": "proves", "object": "marcel berger (14 april 1927 \u2013 15 october 2016) was a french mathematician, doyen of french differen"}
{"subject": "math:Ivan_Zhegalkin", "predicate": "proves", "object": "ivan ivanovich zhegalkin (; 3 august 1869, mtsensk \u2013 28 march 1947, moscow) was a russian and soviet"}
{"subject": "math:Zhegalkin_polynomial", "predicate": "proves", "object": "zhegalkin (also \u017eegalkin, g\u00e9galkine or shegalkin) polynomials (), also known as algebraic normal for"}
{"subject": "math:Isovaleramide", "predicate": "proves", "object": "isovaleramide is an organic compound with the formula (ch3)2chch2c(o)nh2. the amide derived from iso"}
{"subject": "math:List_of_problems_in_loop_theory_and_quasigroup_the", "predicate": "proves", "object": "in mathematics, especially abstract algebra, loop theory and quasigroup theory are active research a"}
{"subject": "math:Green_measure", "predicate": "proves", "object": "in mathematics \u2014 specifically, in stochastic analysis \u2014 the green measure is a measure associated to"}
{"subject": "math:Edge_(geometry)", "predicate": "proves", "object": "in geometry, an edge is a particular type of line segment joining two vertices in a polygon, polyhed"}
{"subject": "math:Australian_Formula_Ford_Championship", "predicate": "proves", "object": "the australian formula ford championship is an australian motor racing competition for drivers of fo"}
{"subject": "math:2011_Formula_One_World_Championship", "predicate": "proves", "object": "the 2011 fia formula one world championship was the 65th season of fia formula one motor racing. the"}
{"subject": "math:EcosimPro", "predicate": "proves", "object": "ecosimpro is a simulation tool developed by empresarios agrupados a.i.e for modelling simple and com"}
{"subject": "math:Formulation_(disambiguation)", "predicate": "proves", "object": "formulation may refer to:\n\n clinical formulation\n formulations (general discussion about formulation"}
{"subject": "math:Tanaka_formula", "predicate": "proves", "object": "tanaka formula may refer to:\ntanaka equation, a kind of differential equation\ntanaka's formula, a ki"}
{"subject": "math:The_Artist's_Dilemma", "predicate": "proves", "object": "the artist's dilemma is a 1901 silent, fantasy film. it was filmed in new york city, new york, usa. "}
{"subject": "math:SymPy", "predicate": "proves", "object": "sympy is an open-source python library for symbolic computation. it provides computer algebra capabi"}
{"subject": "math:Our_House:_The_Original_Songs", "predicate": "proves", "object": "our house: the original songs is a greatest hits album by a british ska-pop group madness, released "}
{"subject": "math:Mitrofan_Cioban", "predicate": "proves", "object": "mitrofan cioban (5 january 1942 \u2013 2 february 2021) was a moldovan mathematician specializing in topo"}
{"subject": "math:Geometric_measure_theory", "predicate": "proves", "object": "in mathematics, geometric measure theory (gmt) is the study of geometric properties of sets (typical"}
{"subject": "math:Yuma_myotis", "predicate": "proves", "object": "the yuma myotis (myotis yumanensis) is a species of vesper bat native to western north america.\n\ndes"}
{"subject": "math:Methylmagnesium_chloride", "predicate": "proves", "object": "methylmagnesium chloride is an organometallic compound with the general formula ch3mgcl. this highly"}
{"subject": "math:Eikonal_approximation", "predicate": "proves", "object": "in theoretical physics, the eikonal approximation (greek \u03b5\u1f30\u03ba\u03ce\u03bd for likeness, icon or image) is an ap"}
{"subject": "math:Solid_harmonics", "predicate": "proves", "object": "in physics and mathematics, the solid harmonics are solutions of the laplace equation in spherical p"}
{"subject": "math:Herbert_Federer", "predicate": "proves", "object": "herbert federer (july 23, 1920 \u2013 april 21, 2010) was an american mathematician. he is one of the cre"}
{"subject": "math:Acetyl_iodide", "predicate": "proves", "object": "acetyl iodide is an organoiodine compound with the formula ch3coi.  it is a colourless liquid. it is"}
{"subject": "math:Newton's_theorem_of_revolving_orbits", "predicate": "proves", "object": "in classical mechanics, newton's theorem of revolving orbits identifies the type of central force ne"}
{"subject": "math:C3H5N", "predicate": "proves", "object": "{{displaytitle:c3h5n}}\nthe molecular formula c3h5n (molar mass: 55.08 g/mol, exact mass: 55.0422 u) "}
{"subject": "math:C3H5NO", "predicate": "proves", "object": "{{displaytitle:c3h5no}}\nthe molecular formula c3h5no (molar mass: 71.08 g/mol, exact mass: 71.0371 u"}
{"subject": "math:C3H6O3", "predicate": "proves", "object": "{{displaytitle:c3h6o3}}\nthe molecular formula c3h6o3 may refer to:\n dihydroxyacetone\n dimethyl carbo"}
{"subject": "math:C3H7N", "predicate": "proves", "object": "{{displaytitle:c3h7n}}\nthe molecular formula c3h7n may refer to:\n\n acetone imine\n allylamine (2-prop"}
{"subject": "math:C3H7NO", "predicate": "proves", "object": "{{displaytitle:c3h7no}}\nthe molecular formula c3h7no may refer to:\n\n acetone oxime (acetoxime)\n 1-am"}
{"subject": "math:C3H7NO2", "predicate": "proves", "object": "{{displaytitle:c3h7no2}}\nthe molecular formula c3h7no2 may refer to:\n\n alanine\n beta-alanine\n ethyl "}
{"subject": "math:C3H8O", "predicate": "proves", "object": "{{displaytitle:c3h8o}}\nthe molecular formula c3h8o may refer to:\n\n methoxyethane (ethyl methyl ether"}
{"subject": "math:Susan_Shipton", "predicate": "proves", "object": "susan shipton (born 1958 in toronto, ontario) is a canadian film editor.\n\nshipton has collaborated w"}
{"subject": "math:C3H8S2", "predicate": "proves", "object": "{{displaytitle:c3h8s2}}\nthe molecular formula c3h8s2 (molar mass: 108.23 g/mol) may refer to:\n\n 2,4-"}
{"subject": "math:Process_manufacturing", "predicate": "proves", "object": "process manufacturing is a branch of manufacturing that is associated with formulas and manufacturin"}
{"subject": "math:Haj\u00f3s's_theorem", "predicate": "proves", "object": "in group theory, haj\u00f3s's theorem states that if a finite abelian group is expressed as the cartesian"}
{"subject": "math:McShane's_identity", "predicate": "proves", "object": "in geometric topology, mcshane's identity for a once punctured torus  with a complete, finite-volume"}
{"subject": "math:Bracket_algebra", "predicate": "proves", "object": "in mathematics, a bracket algebra is an algebraic system that connects the notion of a supersymmetry"}
{"subject": "math:Gibbons\u2013Hawking_effect", "predicate": "proves", "object": "in the theory of general relativity, the gibbons\u2013hawking effect is the statement that a temperature "}
{"subject": "math:Lorenzo_Bandini_Trophy", "predicate": "proves", "object": "the lorenzo bandini trophy () is an annual award honouring an individual or team for their achieveme"}
{"subject": "math:2007_Formula_One_espionage_controversy", "predicate": "proves", "object": "the 2007 formula one espionage controversy, also known as spygate and stepneygate, was a set of accu"}
{"subject": "math:Either\u2013or_topology", "predicate": "proves", "object": "in mathematics, the either\u2013or topology is a topological structure defined on the closed interval [\u22121"}
{"subject": "math:Compact_complement_topology", "predicate": "proves", "object": "in mathematics, the compact complement topology is a topology defined on the set  of real numbers, d"}
{"subject": "math:Formula_grant", "predicate": "proves", "object": "a formula grant is a united states federal grant specifying a precise formula in the legislation cre"}
{"subject": "math:Uniform_k_21_polytope", "predicate": "proves", "object": "{{displaytitle:uniform k\u200921 polytope}}\nin geometry, a uniform k21 polytope is a polytope in k\u00a0+\u00a04 di"}
{"subject": "math:Abel's_binomial_theorem", "predicate": "proves", "object": "abel's binomial theorem, named after niels henrik abel, is a mathematical identity involving sums of"}
{"subject": "math:Cylindrical_algebraic_decomposition", "predicate": "proves", "object": "in mathematics, cylindrical algebraic decomposition (cad) is a notion, and an algorithm to compute i"}
{"subject": "math:Extension_by_definitions", "predicate": "proves", "object": "in mathematical logic, more specifically in the proof theory of first-order theories, extensions by "}
{"subject": "math:H\u00fcckel", "predicate": "proves", "object": "h\u00fcckel or huckel may refer to:\n\n erich h\u00fcckel (1896-1980), german physicist and chemist\n debye\u2013h\u00fccke"}
{"subject": "math:Magnus_Hestenes", "predicate": "proves", "object": "magnus rudolph hestenes (february 13, 1906 \u2013 may 31, 1991) was an american mathematician best known "}
{"subject": "math:Decamethyldizincocene", "predicate": "proves", "object": "decamethyldizincocene is an organozinc compound with the formula [zn2(\u03b75\u2013c5me5)2]. it is the first a"}
{"subject": "math:Gregor_Erhart", "predicate": "proves", "object": "gregor erhart (c. 1470? \u2013 1540) was a german sculptor who was born at ulm, the son of sculptor miche"}
{"subject": "math:Devil's_curve", "predicate": "proves", "object": "in geometry, a devil's curve, also known as the devil on two sticks, is a curve defined in the carte"}
{"subject": "math:C4H6", "predicate": "proves", "object": "{{displaytitle:c4h6}}\nthe molecular formula c4h6 (molar mass: 54.09 g/mol) may refer to:\n\n 1,3-butad"}
{"subject": "math:Isomorphism_extension_theorem", "predicate": "proves", "object": "in field theory, a branch of mathematics, the isomorphism extension theorem is an important theorem "}
{"subject": "math:Jenifer_Haselgrove", "predicate": "proves", "object": "jenifer leech (n\u00e9e wheildon brown; later haselgrove; 3 august 1930 \u2013 13 march 2015) was a british ph"}
{"subject": "math:Rowland_ring", "predicate": "proves", "object": "rowland's ring (aka rowland ring) is an experimental arrangement for the measurement of the hysteres"}
{"subject": "math:The_Ouse", "predicate": "proves", "object": "the ouse is a tidal estuary in northern shapinsay, orkney islands. this water body has been shown on"}
{"subject": "math:Vasa_Loch", "predicate": "proves", "object": "vasa loch is a brackish lagoon in southwestern shapinsay, orkney islands. (ordnance, 2002)  this wat"}
{"subject": "math:Anthropomorphic_polygon", "predicate": "proves", "object": "in geometry, an anthropomorphic polygon is a simple polygon with precisely two ears and one mouth. t"}
{"subject": "math:1962_Australian_Drivers'_Championship", "predicate": "proves", "object": "the 1962 australian drivers' championship was a cams sanctioned motor racing title for drivers of fo"}
{"subject": "math:Trichilemmal_cyst", "predicate": "proves", "object": "a trichilemmal cyst (or pilar cyst) is a common cyst that forms from a hair follicle, most often on "}
{"subject": "math:Piperylene", "predicate": "proves", "object": "piperylene or 1,3-pentadiene is an organic compound with the formula .  it is a volatile, flammable "}
{"subject": "math:Pentadiene", "predicate": "proves", "object": "in chemistry, pentadiene is any hydrocarbon with an open chain of five carbons, connected by two sin"}
{"subject": "math:C5H8", "predicate": "proves", "object": "{{displaytitle:c5h8}}\n\nthe molecular formula c5h8 may refer to any of the following hydrocarbons:\n p"}
{"subject": "math:C4F8", "predicate": "proves", "object": "the molecular formula c4f8 (molar mass: 200.03 g/mol, exact mass: 199.9872 u) may refer to:\n\n octafl"}
{"subject": "math:C4H3F7O", "predicate": "proves", "object": "{{displaytitle:c4h3f7o}}\nthe molecular formula c4h3f7o (molar mass: 200.055 g/mol, exact mass: 200.0"}
{"subject": "math:C4H4", "predicate": "proves", "object": "{{displaytitle:c4h4}}\nthe molecular formula c4h4 (molar mass: 52.07 g/mol) may refer to:\n\n butatrien"}
{"subject": "math:C4H4N2", "predicate": "proves", "object": "{{displaytitle:c4h4n2}}\nthe molecular formula c4h4n2 may refer to:\n\n diazines\n pyrazine\n pyridazine\n"}
{"subject": "math:C4H4N2O3", "predicate": "proves", "object": "{{displaytitle:c4h4n2o3}}\nthe molecular formula c4h4n2o3 (molar mass: 128.09 g/mol, exact mass: 128."}
{"subject": "math:C4H5N", "predicate": "proves", "object": "{{displaytitle:c4h5n}}\nthe molecular formula c4h5n (molar mass: 67.09 g/mol, exact mass: 67.04220 u)"}
{"subject": "math:Sokhotski\u2013Plemelj_theorem", "predicate": "proves", "object": "the sokhotski\u2013plemelj theorem (polish spelling is sochocki) is a theorem in complex analysis, which "}
{"subject": "math:Hypercubic_honeycomb", "predicate": "proves", "object": "in geometry, a hypercubic honeycomb is a family of regular honeycombs (tessellations) in -dimensiona"}
{"subject": "math:8-simplex", "predicate": "proves", "object": "in geometry, an 8-simplex is a self-dual regular 8-polytope. it has 9 vertices, 36 edges, 84 triangl"}
{"subject": "math:C4H6O", "predicate": "proves", "object": "{{displaytitle:c4h6o}}\nthe molecular formula c4h6o may refer to:\n\n crotonaldehyde\n cyclobutanone\n di"}
{"subject": "math:C4H6O2", "predicate": "proves", "object": "{{displaytitle:c4h6o2}}\nthe molecular formula c4h6o2 may refer to:\n\n 1,4-butynediol\n butyrolactones\n"}
{"subject": "math:C4H6O3", "predicate": "proves", "object": "{{displaytitle:c4h6o3}}\nthe molecular formula c4h6o3 may refer to:\n\n acetic anhydride\n acetoacetic a"}
{"subject": "math:C4H6O4", "predicate": "proves", "object": "{{displaytitle:c4h6o4}}\nthe molecular formula c4h6o4 (molar mass: 118.09 g/mol) may refer to:\n\n diac"}
{"subject": "math:9-orthoplex", "predicate": "proves", "object": "in geometry, a 9-orthoplex or 9-cross polytope, is a regular 9-polytope with 18 vertices, 144 edges,"}
{"subject": "math:9-simplex", "predicate": "proves", "object": "in geometry, a 9-simplex is a self-dual regular 9-polytope. it has 10 vertices, 45 edges, 120 triang"}
{"subject": "math:GT4_European_Series", "predicate": "proves", "object": "the gt4 european series is a sports car championship created and organised by sro motorsports group."}
{"subject": "math:Natacha_Gachnang", "predicate": "proves", "object": "natacha gachnang (born 27 october 1987 in vevey, switzerland) is a swiss race driver and the cousin "}
{"subject": "math:Volume_operator", "predicate": "proves", "object": "a quantum field theory of general relativity provides operators that measure the geometry of spaceti"}
{"subject": "math:Finnish_passport", "predicate": "proves", "object": "finnish passports (; ) are issued to nationals of finland for the purpose of international travel. a"}
{"subject": "math:Swedish_passport", "predicate": "proves", "object": "swedish passports () are issued to nationals of sweden for the purpose of international travel. besi"}
{"subject": "math:C4H7NO4", "predicate": "proves", "object": "{{displaytitle:c4h7no4}}\nthe molecular formula c4h7no4 (molar mass: 133.10 g/mol, exact mass: 133.03"}
{"subject": "math:C4H8O", "predicate": "proves", "object": "{{displaytitle:c4h8o}}\nthe molecular formula c4h8o may refer to:\n\n butanone\n butyraldehyde\n crotyl a"}
{"subject": "math:C4H9Li", "predicate": "proves", "object": "{{displaytitle:c4h9li}}\nthe molecular formula c4h9li (molar mass: 64.06 g/mol) may refer to:\n\n n-but"}
{"subject": "math:C4H9N", "predicate": "proves", "object": "{{displaytitle:c4h9n}}\nthe molecular formula c4h9n (molar mass: 71.12 g/mol) may refer to:\n\n pyrroli"}
{"subject": "math:C4H9NO", "predicate": "proves", "object": "{{displaytitle:c4h9no}}\nthe molecular formula c4h9no (molar mass: 87.1 g/mol) may refer to:\n\n butyra"}
{"subject": "math:C4H9NO3", "predicate": "proves", "object": "{{displaytitle:c4h9no3}}\nthe molecular formula c4h9no3 may refer to:\n\n \u03b3-amino-\u03b2-hydroxybutyric acid"}
{"subject": "math:C4H10O", "predicate": "proves", "object": "{{displaytitle:c4h10o}}\nthe molecular formula c4h10o may refer to:\n\n butanols\n 1-butanol (n-butanol)"}
{"subject": "math:C4H10N2", "predicate": "proves", "object": "{{displaytitle:c4h10n2}}\nthe molecular formula c4h10n2 may refer to:\n\n diazinane\n piperazine\n hexahy"}
{"subject": "math:McNamara_(constructor)", "predicate": "proves", "object": "mcnamara was a german constructor of racecar chassis from the late 1960s to the 1972.\n\nhistory\nmcnam"}
{"subject": "math:Pressure-correction_method", "predicate": "proves", "object": "pressure-correction method is a class of methods used in computational fluid dynamics for numericall"}
{"subject": "math:Doob's_martingale_convergence_theorems", "predicate": "proves", "object": "in mathematicsspecifically, in the theory of stochastic processesdoob's martingale convergence theor"}
{"subject": "math:C5H10O5", "predicate": "proves", "object": "{{displaytitle:c5h10o5}}\nthe molecular formula c5h10o5 may refer to:\n apiose\n aldopentoses\n arabinos"}
{"subject": "math:C5H4N4O", "predicate": "proves", "object": "{{displaytitle:c5h4n4o}}\nthe molecular formula c5h4n4o (molar mass: 136.11 g/mol, exact mass: 136.03"}
{"subject": "math:C5H6N2", "predicate": "proves", "object": "{{displaytitle:c5h6n2}}\nthe molecular formula c5h6n2 may refer to:\n\n aminopyridines\n 2-aminopyridine"}
{"subject": "math:C5H7N3O2", "predicate": "proves", "object": "{{displaytitle:c5h7n3o2}}\nthe molecular formula c5h7n3o2 (molar mass: 141.13 g/mol, exact mass: 141."}
{"subject": "math:C5H8O", "predicate": "proves", "object": "{{displaytitle:c5h8o}}\nthe molecular formula c5h8o (molar mass: 84.12 g/mol) may refer to:\n\n cyclope"}
{"subject": "math:C5H8O2", "predicate": "proves", "object": "{{displaytitle:c5h8o2}}\nthe molecular formula c5h8o2 may refer to:\n\n acetylacetone\n acetylpropionyl\n"}
{"subject": "math:C5H8O4", "predicate": "proves", "object": "{{displaytitle:c5h8o4}}\nthe molecular formula c5h8o4 may refer to:\n\n acetolactic acid\n 4,5-dihydroxy"}
{"subject": "math:C5H9NO2", "predicate": "proves", "object": "{{displaytitle:c5h9no2}}\nthe molecular formula c5h9no2 (molar mass : 115.13 g/mol) may refer to:\n\n a"}
{"subject": "math:C5H9NO", "predicate": "proves", "object": "{{displaytitle:c5h9no}}\nthe molecular formula c5h9no may refer to:\n\n 3-dimethylaminoacrolein\n 2-ethy"}
{"subject": "math:C5H9NO3", "predicate": "proves", "object": "{{displaytitle:c5h9no3}}\nthe molecular formula c5h9no3 (molar mass : 131.13 g/mol) may refer to:\n\n a"}
{"subject": "math:C5H9NO3S", "predicate": "proves", "object": "{{displaytitle:c5h9no3s}}\nthe molecular formula c5h9no3s (molar mass: 163.195 g/mol, exact mass: 163"}
{"subject": "math:C5H9N3", "predicate": "proves", "object": "{{displaytitle:c5h9n3}}\nthe molecular formula c5h9n3 (molar mass: 111.15 g/mol, exact mass: 111.0796"}
{"subject": "math:C5H10", "predicate": "proves", "object": "{{displaytitle:c5h10}}\n\nc5h10 is the molecular formula of 13 hydrocarbon isomers (represented by the"}
{"subject": "math:Polybutylene", "predicate": "proves", "object": "polybutylene (polybutene-1, poly(1-butene), pb-1) is a polyolefin or saturated polymer with the chem"}
{"subject": "math:C5H10O", "predicate": "proves", "object": "{{displaytitle:c5h10o}}\nthe molecular formula c5h10o may refer to:\n\n isoprenol\n isovaleraldehyde (3-"}
{"subject": "math:C5H10O2", "predicate": "proves", "object": "{{displaytitle:c5h10o2}}\nthe molecular formula c5h10o2 (molar mass: 102.13 g/mol) may refer to:\n\n te"}
{"subject": "math:C5H10O4", "predicate": "proves", "object": "{{displaytitle:c5h10o4}}\nthe molecular formula c5h10o4 (molar mass: 134.13 g/mol, exact mass: 134.05"}
{"subject": "math:C5H11N", "predicate": "proves", "object": "{{displaytitle:c5h11n}}\nthe molecular formula c5h11n (molar mass: 85.15 g/mol, exact mass: 85.0891 u"}
{"subject": "math:C5H11NO2", "predicate": "proves", "object": "{{displaytitle:c5h11no2}}\nthe molecular formula c5h11no2 may refer to:\n\n \u03b2-alanine ethyl ester\n amyl"}
{"subject": "math:C5H11NO2S", "predicate": "proves", "object": "{{displaytitle:c5h11no2s}}\nthe molecular formula c5h11no2s (molar mass: 149.21 g/mol, exact mass: 14"}
{"subject": "math:Point_distribution_model", "predicate": "proves", "object": "the point distribution model is a model for representing the mean geometry of a shape and some stati"}
{"subject": "math:Narayana_number", "predicate": "proves", "object": "in combinatorics, the narayana numbers  form a triangular array of natural numbers, called the naray"}
{"subject": "math:2gether_(2gether_album)", "predicate": "proves", "object": "2gether is the debut album by 2gether, released in 2000. it includes the singles, \"u + me = us (calc"}
{"subject": "math:Sterling_Heights_High_School", "predicate": "proves", "object": "sterling heights high school (shhs) is a public high school in sterling heights, michigan, united st"}
{"subject": "math:Thomson_cubic", "predicate": "proves", "object": "in geometry, the thomson cubic of a triangle is the locus of centers of circumconics whose normals a"}
{"subject": "math:Quinaldine", "predicate": "proves", "object": "quinaldine or 2-methylquinoline is an organic compound with the formula ch3c9h6n.  it is one of the "}
{"subject": "math:Swift\u2013Hohenberg_equation", "predicate": "proves", "object": "the swift\u2013hohenberg equation (named after jack b. swift and pierre hohenberg) is a partial different"}
{"subject": "math:Lumer\u2013Phillips_theorem", "predicate": "proves", "object": "in mathematics, the lumer\u2013phillips theorem, named after g\u00fcnter lumer and ralph phillips, is a result"}
{"subject": "math:C5H4N4O2", "predicate": "proves", "object": "the molecular formula c5h4n4o2 (molar mass: 152.11 g/mol, exact mass: 152.0334 u) may refer to:\n\n xa"}
{"subject": "math:C5H12O5", "predicate": "proves", "object": "{{displaytitle:c5h12o5}}\nthe molecular formula c5h12o5 (molar mass: 152.14 g/mol, exact mass: 152.06"}
{"subject": "math:Calder\u00f3n\u2013Zygmund_lemma", "predicate": "proves", "object": "in mathematics, the calder\u00f3n\u2013zygmund lemma is a fundamental result in fourier analysis, harmonic ana"}
{"subject": "math:Reese_Prosser", "predicate": "proves", "object": "reese trego prosser (may 18, 1927 in minneapolis \u2013 june 15, 1996) was an american mathematician.\n\nhe"}
{"subject": "math:F_number_(chemistry)", "predicate": "proves", "object": "f number is a correlation number used in the analysis of polycyclic aromatic hydrocarbons (pahs) as "}
{"subject": "math:Formula_togatorum", "predicate": "proves", "object": "the formula togatorum (\"list of toga-wearers\") was a schedule kept in rome that listed the various m"}
{"subject": "math:Office_landscape", "predicate": "proves", "object": "office landscape () was an early (1950s) movement in open plan office space planning that typically "}
{"subject": "math:Isotopy_of_loops", "predicate": "proves", "object": "in the mathematical field of abstract algebra, isotopy is an equivalence relation used to classify t"}
{"subject": "math:Quantum_stirring,_ratchets,_and_pumping", "predicate": "proves", "object": "a pump is an alternating current-driven device that generates a direct current (dc). in the simplest"}
{"subject": "math:Tolidine", "predicate": "proves", "object": "2-tolidine (orthotolidine, o-tolidine; not to be confused with o-toluidine) is an organic compound w"}
{"subject": "math:O-Toluidine", "predicate": "proves", "object": "o-toluidine (ortho-toluidine) is an organic compound with the chemical formula ch3c6h4nh2. it is the"}
{"subject": "math:2-Nitroaniline", "predicate": "proves", "object": "2-nitroaniline is an organic compound with the formula h2nc6h4no2. it is a derivative of aniline, ca"}
{"subject": "math:4-Nitroaniline", "predicate": "proves", "object": "4-nitroaniline, p-nitroaniline or 1-amino-4-nitrobenzene is an organic compound with the formula c6h"}
{"subject": "math:Nitroaniline", "predicate": "proves", "object": "the term nitroaniline in chemistry refers to a derivative of aniline (c6h5nh2) containing a nitro gr"}
{"subject": "math:Analytic_Fredholm_theorem", "predicate": "proves", "object": "in mathematics, the analytic fredholm theorem is a result concerning the existence of bounded invers"}
{"subject": "math:Hilbert\u2013Schmidt_theorem", "predicate": "proves", "object": "in mathematical analysis, the hilbert\u2013schmidt theorem, also known as the eigenfunction expansion the"}
{"subject": "math:Limits_of_integration", "predicate": "proves", "object": "in calculus and mathematical analysis the limits of integration (or bounds of integration) of the in"}
{"subject": "math:10-simplex", "predicate": "proves", "object": "in geometry, a 10-simplex is a self-dual regular 10-polytope. it has 11 vertices, 55 edges, 165 tria"}
{"subject": "math:Cinderella_(software)", "predicate": "proves", "object": "cinderella is a proprietary interactive geometry software, written in java.\n\nhistory \ncinderella was"}
{"subject": "math:Mallock_machine", "predicate": "proves", "object": "the mallock machine is an electrical analog computer built in 1933 to solve simultaneous linear diff"}
{"subject": "math:Hurricane_5.9", "predicate": "proves", "object": "the hurricane 5.9 is a one design racing catamaran.  it was designed by reg white in brightlingsea i"}
{"subject": "math:Lissajous_knot", "predicate": "proves", "object": "in knot theory, a lissajous knot is a knot defined by parametric equations of the form\n\nwhere , , an"}
{"subject": "math:McLaren_Grand_Prix_results", "predicate": "proves", "object": "the first table details world championship grand prix results for the mclaren formula one team. the "}
{"subject": "math:Energy_minimization", "predicate": "proves", "object": "in the field of computational chemistry, energy minimization (also called energy optimization, geome"}
{"subject": "math:Anderson_orthogonality_theorem", "predicate": "proves", "object": "the anderson orthogonality theorem is a theorem in physics by the physicist p. w. anderson.\n\nit rela"}
{"subject": "math:Hanan_grid", "predicate": "proves", "object": "in geometry, the hanan grid  of a finite set  of points in the plane is obtained by constructing ver"}
{"subject": "math:Altman_Z-score", "predicate": "proves", "object": "the z-score formula for predicting bankruptcy was published in 1968 by edward i. altman, who was, at"}
{"subject": "math:Boolean_algebra_(disambiguation)", "predicate": "proves", "object": "boolean algebra is the algebra of truth values and operations on them.\n\nboolean algebra may also ref"}
{"subject": "math:C3H4O2", "predicate": "proves", "object": "{{displaytitle:c3h4o2}}\nc3h4o2 may refer to:\n\ncompounds sharing the molecular formula:\n acrylic acid"}
{"subject": "math:Christine_Glass", "predicate": "proves", "object": "christine glass is an american singer-songwriter, married to marc byrd (of hammock and common childr"}
{"subject": "math:C4H8O3", "predicate": "proves", "object": "{{displaytitle:c4h8o3}}\nthe molecular formula c4h8o3 may refer to:\n\nhydroxybutyric acids:\n 2-hydroxy"}
{"subject": "math:Bromwell", "predicate": "proves", "object": "bromwell is a surname. notable people with the surname include:\n\n eric m. bromwell, maryland politic"}
{"subject": "math:C6H4", "predicate": "proves", "object": "{{displaytitle:c6h4}}\nthe molecular formula c6h4 (molar mass: 76.10 g/mol, exact mass: 76.0313 u) ma"}
{"subject": "math:C6H5NO2", "predicate": "proves", "object": "{{displaytitle:c6h5no2}}\nthe molecular formula c6h5no2 (molar mass: 123.11 g/mol, exact mass: 123.03"}
{"subject": "math:C6H6N2O", "predicate": "proves", "object": "the molecular formula c6h6n2o may refer to:\n\n acetylpyrazine, an organic compound; a pyrazine and a "}
{"subject": "math:C6H6N2O2", "predicate": "proves", "object": "{{displaytitle:c6h6n2o2}}\nthe molecular formula c6h6n2o2 (molar mass: 138.12 g/mol) may refer to:\n\n "}
{"subject": "math:C6H6O", "predicate": "proves", "object": "{{displaytitle:c6h6o}}\nthe molecular formula c6h6o (molar mass: 94.11 g/mol, exact mass: 94.0419 u) "}
{"subject": "math:C6H6O2", "predicate": "proves", "object": "{{displaytitle:c6h6o2}}\nthe molecular formula c6h6o2 (molar mass: 110.1 g/mol) may refer to:\n\n 2-ace"}
{"subject": "math:C6H6S", "predicate": "proves", "object": "{{displaytitle:c6h6s}}\nthe molecular formula c6h6s (molar mass: 110.18 g/mol, exact mass: 110.0190 u"}
{"subject": "math:C6H7N", "predicate": "proves", "object": "{{displaytitle:c6h7n}}\nthe molecular formula c6h7n (molar mass: 93.12 g/mol, exact mass: 93.0578 u) "}
{"subject": "math:Bounded_inverse_theorem", "predicate": "proves", "object": "in mathematics, the bounded inverse theorem ( also called inverse mapping theorem or banach isomorph"}
{"subject": "math:Inverse_mapping_theorem", "predicate": "proves", "object": "in mathematics, inverse mapping theorem may refer to:\n\n the inverse function theorem on the existenc"}
{"subject": "math:Distributed_active_transformer", "predicate": "proves", "object": "distributed active transformer is a circuit topology that allows low-voltage transistors to be used "}
{"subject": "math:Absoluteness_(logic)", "predicate": "proves", "object": "in mathematical logic, a formula is said to be absolute to some class of structures (also called mod"}
{"subject": "math:Surface_element", "predicate": "proves", "object": "surface element may refer to\nan infinitesimal portion of a 2d surface, as used in a surface integral"}
{"subject": "math:Nissan_R382", "predicate": "proves", "object": "the nissan r382 was a racing car built in 1969 by nissan motors for competition in the japanese gran"}
{"subject": "math:Nissan_R383", "predicate": "proves", "object": "the nissan r383 was a race car built in 1970 by nissan motors that was planned for use in the 1970 j"}
{"subject": "math:Hideki_Mutoh", "predicate": "proves", "object": "is a japanese race car driver from tokyo currently racing in super gt.\n\ncareer\n\nhistory \n\nhe began k"}
{"subject": "math:Fabrizio", "predicate": "proves", "object": "fabrizio is an italian first name, from the latin word \"faber\" meaning \"smith\" and may refer to:\n\n f"}
{"subject": "math:The_Enemies_of_Reason", "predicate": "proves", "object": "the enemies of reason is a two-part television documentary, written and presented by evolutionary bi"}
{"subject": "math:Dihydroxymalonic_acid", "predicate": "proves", "object": "dihydroxymalonic acid is an organic compound with formula c3h4o6 or ho-(c=o)-c(oh)2-(c=o)-oh, found "}
{"subject": "math:C6H8O", "predicate": "proves", "object": "{{displaytitle:c6h8o}}\nthe molecular formula c6h8o (molar mass: 96.13 g/mol, exact mass: 96.05751 u)"}
{"subject": "math:C2H2O3", "predicate": "proves", "object": "{{displaytitle:c2h2o3}}\nthe molecular formula c2h2o3 (molar mass: 74.04 g/mol, exact mass: 74.0004 u"}
{"subject": "math:C5H6", "predicate": "proves", "object": "{{displaytitle:c5h6}}\nthe molecular formula c5h6 (molar mass: 66.10 g/mol, exact mass: 66.04695 u) m"}
{"subject": "math:C6H8", "predicate": "proves", "object": "{{displaytitle:c6h8}}\nthe molecular formula c6h8 may refer to:\n\n cyclohexadiene (disambiguation)\n 1,"}
{"subject": "math:Von_Neumann's_theorem", "predicate": "proves", "object": "in mathematics, von neumann's theorem is a result in the operator theory of linear operators on hilb"}
{"subject": "math:Oreobates_choristolemma", "predicate": "proves", "object": "oreobates choristolemma is a species of frog in the family strabomantidae. it is endemic to bolivia "}
{"subject": "math:Polyvinyl_toluene", "predicate": "proves", "object": "polyvinyltoluene (pvt, polyvinyl toluene) is a synthetic polymer of  alkylbenzenes with a linear for"}
{"subject": "math:C4H11N", "predicate": "proves", "object": "{{displaytitle:c4h11n}}\nthe molecular formula c4h11n may refer to:\n\nn-butylamine\nsec-butylamine\ntert"}
{"subject": "math:Eilenberg\u2013Maclane_spectrum", "predicate": "proves", "object": "in mathematics, specifically algebraic topology, there is a distinguished class of spectra called ei"}
{"subject": "math:Triangle_center", "predicate": "proves", "object": "in geometry, a triangle center or triangle centre is a point in the triangle's plane that is in some"}
{"subject": "math:Surface_of_constant_width", "predicate": "proves", "object": "in geometry, a surface of constant width is a convex form whose width, measured by the distance betw"}
{"subject": "math:C7H14", "predicate": "proves", "object": "{{displaytitle:c7h14}}\nthe molecular formula c7h14 (molar mass: 98.19 g/mol, exact mass: 98.1096 u) "}
{"subject": "math:Drainage_model", "predicate": "proves", "object": "drainage model may refer to:\n\n a surface drainage model or rainfall-runoff model; see surface runoff"}
{"subject": "math:Quasi-compact_morphism", "predicate": "proves", "object": "in algebraic geometry, a morphism  between schemes is said to be quasi-compact if y can be covered b"}
{"subject": "math:Cerium_oxalate", "predicate": "proves", "object": "cerium(iii) oxalate (cerous oxalate) is the inorganic cerium salt of oxalic acid. it is a white crys"}
{"subject": "math:Action_algebra", "predicate": "proves", "object": "in algebraic logic, an action algebra is an algebraic structure which is both a residuated semilatti"}
{"subject": "math:Protein-bound_paclitaxel", "predicate": "proves", "object": "protein-bound paclitaxel, also known as nanoparticle albumin\u2013bound paclitaxel or  nab-paclitaxel, is"}
{"subject": "math:C2H4O3", "predicate": "proves", "object": "{{displaytitle:c2h4o3}}\nc2h4o3 may refer to:\n\ncompounds sharing the molecular formula:\nglycolic acid"}
{"subject": "math:C4H10O3", "predicate": "proves", "object": "{{displaytitle:c4h10o3}}\nthe molecular formula c4h10o3 (molar mass: 106.12 g/mol, exact mass: 106.06"}
{"subject": "math:C4H8O4", "predicate": "proves", "object": "{{displaytitle:c4h8o4}}\nthe molecular formula c4h8o4 (molar mass: 120.10 g/mol, exact mass: 120.0422"}
{"subject": "math:C3H8O2", "predicate": "proves", "object": "{{displaytitle:c3h8o2}}\nthe molecular formula c3h8o2 may refer to:\n\n dimethoxymethane\n 2-methoxyetha"}
{"subject": "math:C4H2", "predicate": "proves", "object": "{{displaytitle:c4h2}}\nthe molecular formula c4h2 (molar mass: 50.06 g/mol, exact mass: 50.01565 u) m"}
{"subject": "math:C4H4O3", "predicate": "proves", "object": "{{displaytitle:c4h4o3}}\nthe molecular formula c4h4o3 (molar mass: 100.07 g/mol) may refer to:\n\n 5-hy"}
{"subject": "math:C4H4O4", "predicate": "proves", "object": "the molecular formula c4h4o4 (molar mass: 116.07 g/mol) may refer to:\n\n fumaric acid\n lactic acid o-"}
{"subject": "math:Fran\u00e7ois_Proth", "predicate": "proves", "object": "fran\u00e7ois proth (22 march 1852 \u2013 21 january 1879) was a french self-taught mathematician farmer who l"}
{"subject": "math:CH2O3", "predicate": "proves", "object": "{{displaytitle:ch2o3}}\nthe molecular formula ch2o3 (molar mass: 62.02 g/mol, exact mass: 62.0004 u) "}
{"subject": "math:C4H6O5", "predicate": "proves", "object": "{{displaytitle:c4h6o5}}\nthe molecular formula c4h6o5 (molar mass: 134.09 g/mol, exact mass: 134.0215"}
{"subject": "math:C4H10O4", "predicate": "proves", "object": "{{displaytitle:c4h10o4}}\nthe molecular formula c4h10o4 (molar mass: 122.12 g/mol) may refer to:\n\n er"}
{"subject": "math:Semi-elliptic_operator", "predicate": "proves", "object": "in mathematics \u2014 specifically, in the theory of partial differential equations \u2014 a semi-elliptic ope"}
{"subject": "math:Strange_Abominable_Snowmen", "predicate": "proves", "object": "strange abominable snowmen () is a book written in 1970 by warren smith which claimed to offer scien"}
{"subject": "math:Residuated_Boolean_algebra", "predicate": "proves", "object": "in mathematics, a residuated boolean algebra is a residuated lattice whose lattice structure is that"}
{"subject": "math:Monobenzone", "predicate": "proves", "object": "monobenzone, also called 4-(benzyloxy)phenol and monobenzyl ether of hydroquinone (mbeh) is an organ"}
{"subject": "math:C5H4O2", "predicate": "proves", "object": "{{displaytitle:c5h4o2}}\nthe molecular formula c5h4o2 (molar mass: 96.085 g/mol) may refer to:\n\n furf"}
{"subject": "math:C5H6O2", "predicate": "proves", "object": "{{displaytitle:c5h6o2}}\nthe molecular formula c5h6o2 (molar mass: 98.10 g/mol) may refer to:\n\n ethyl"}
{"subject": "math:C5H6O4", "predicate": "proves", "object": "{{displaytitle:c5h6o4}}\nthe molecular formula c5h6o4 (molar mass: 130.10 g/mol) may refer to:\n\n citr"}
{"subject": "math:C5H6O5", "predicate": "proves", "object": "{{displaytitle:c5h6o5}}\nthe molecular formula c5h6o5 may refer to:\n\n dioxalin\n ketoglutaric acid (di"}
{"subject": "math:C5H8O3", "predicate": "proves", "object": "the molecular formula c5h8o3 may refer to:\n\n butylene carbonates\n 1,2-butylene carbonate\n cis-2,3-bu"}
{"subject": "math:C5H12O2", "predicate": "proves", "object": "{{displaytitle:c5h12o2}}\nthe molecular formula c5h12o2 (molar mass: 104.15 g/mol, exact mass: 104.08"}
{"subject": "math:C5H12O", "predicate": "proves", "object": "{{displaytitle:c5h12o}}\n\nthe molecular formula c5h12o (molar mass: 88.15 g/mol, exact mass: 88.08881"}
{"subject": "math:Great_Rhetra", "predicate": "proves", "object": "the great rhetra (, literally: great \"saying\" or \"proclamation\", charter) was used in two senses by "}
{"subject": "math:Christine_Hamill", "predicate": "proves", "object": "christine mary hamill (24 july 1923 \u2013 24 march 1956) was an english mathematician who specialised in"}
{"subject": "math:Johann_Andreas_Eisenbarth", "predicate": "proves", "object": "johann andreas eisenbarth (march 27, 1663 \u2013 november 11, 1727) was a german surgeon who was a native"}
{"subject": "math:Bergman_metric", "predicate": "proves", "object": "in differential geometry, the bergman metric is a hermitian metric that can be defined on certain ty"}
{"subject": "math:Egyptian_passport", "predicate": "proves", "object": "egyptian passports () are issued to nationals of egypt for the purpose of international travel. besi"}
{"subject": "math:Liouville's_theorem_(conformal_mappings)", "predicate": "proves", "object": "in mathematics, liouville's theorem, proved by joseph liouville in 1850, is a rigidity theorem about"}
{"subject": "math:Vivaldi_coordinates", "predicate": "proves", "object": "vivaldi coordinate system is a decentralized network coordinate system, that allows for distributed "}
{"subject": "math:CH2O2", "predicate": "proves", "object": "{{displaytitle:ch2o2}}\nthe molecular formula ch2o2 (molar mass: 46.03 g/mol) may refer to:\n\n dihydro"}
{"subject": "math:CH3O", "predicate": "proves", "object": "{{displaytitle:ch3o}}\nthe molecular formula ch3o may refer to:\n\n hydroxymethyl group (hoch2\u2013)\n metho"}
{"subject": "math:C3H3", "predicate": "proves", "object": "{{displaytitle:c3h3}}\nthe molecular formula c3h3 (molar mass: 39.06 g/mol, exact mass: 39.0235 u) ma"}
{"subject": "math:C3H5", "predicate": "proves", "object": "{{displaytitle:c3h5}}\nthe molecular formula c3h5 (molar mass: 41.07 g/mol, exact mass: 41.0391 u) ma"}
{"subject": "math:C4H2O4", "predicate": "proves", "object": "{{displaytitle:c4h2o4}}\nthe molecular formula c4h2o4 (molar mass: 114.06 g/mol, exact mass: 113.9953"}
{"subject": "math:C5H6O", "predicate": "proves", "object": "{{displaytitle:c5h6o}}\nthe molecular formula c5h6o (molar mass: 82.10 g/mol, exact mass: 82.0419 u) "}
{"subject": "math:Ordo\u00f1ezite", "predicate": "proves", "object": "ordo\u00f1ezite or ord\u00f3\u00f1ezite is a rare tetragonal zinc antimonate mineral with chemical formula: znsb2o6"}
{"subject": "math:C5H12O4", "predicate": "proves", "object": "{{displaytitle:c5h12o4}}\nthe molecular formula c5h12o4 (molar mass: 136.15 g/mol, exact mass: 136.07"}
{"subject": "math:C6H10O", "predicate": "proves", "object": "{{displaytitle:c6h10o}}\nthe molecular formula c6h10o may refer to:\n\n cyclohexanone\n cyclohexene oxid"}
{"subject": "math:C6H6O3", "predicate": "proves", "object": "{{displaytitle:c6h6o3}}\nthe molecular formula c6h6o3 may refer to:\n cyclohexanetriones\n hydroxymethy"}
{"subject": "math:C6H6O4", "predicate": "proves", "object": "{{displaytitle:c6h6o4}}\nthe molecular formula c6h6o4 (molar mass : 142.10 g/mol, exact mass : 142.02"}
{"subject": "math:C6H6O6", "predicate": "proves", "object": "{{displaytitle:c6h6o6}}\nthe molecular formula c6h6o6 (molar mass: 174.11 g/mol, exact mass: 174.0164"}
{"subject": "math:C6H8O2", "predicate": "proves", "object": "{{displaytitle:c6h8o2}}\nthe molecular formula c6h8o2 may refer to:\n\n cyclohexanediones\n 1,2-cyclohex"}
{"subject": "math:C6H8O4", "predicate": "proves", "object": "{{displaytitle:c6h8o4}}\nthe molecular formula c6h8o4 may refer to:\n\n dimethyl fumarate (dmf)\n dimeth"}
{"subject": "math:C6H10", "predicate": "proves", "object": "the molecular formula c6h10 (molar mass: 82.14 g/mol) may refer to:\n\n cyclohexene\n 2,3-dimethyl-1,3-"}
{"subject": "math:Schwertmannite", "predicate": "proves", "object": "schwertmannite is an iron-oxyhydroxysulfate mineral with an ideal chemical formula of  or . it is an"}
{"subject": "math:Hadamard_manifold", "predicate": "proves", "object": "in mathematics, a hadamard manifold, named after jacques hadamard \u2014 more often called a cartan\u2013hadam"}
{"subject": "math:1997_FIA_GT_Helsinki_3_Hours", "predicate": "proves", "object": "the 1997 fia gt helsinki 3 hours was the third race of the 1997 fia gt championship season.  it was "}
{"subject": "math:Stochastic_partial_differential_equation", "predicate": "proves", "object": "stochastic partial differential equations (spdes) generalize partial differential equations via rand"}
{"subject": "math:Prell", "predicate": "proves", "object": "prell is a viscous, pearl-green shampoo and conditioner product manufactured by scott's liquid gold-"}
{"subject": "math:1975_Australian_Drivers'_Championship", "predicate": "proves", "object": "the 1975 australian drivers' championship was a cams sanctioned australian motor racing title open t"}
{"subject": "math:Environmentalism_in_motorsport", "predicate": "proves", "object": "the issue of environmentalism in motorsport surrounds the whole of auto racing to reduce its carbon "}
{"subject": "math:Johann_Rahn", "predicate": "proves", "object": "johann rahn (latinised form rhonius) (10 march 1622 \u2013 25 may 1676) was a swiss mathematician who is "}
{"subject": "math:2008_German_Grand_Prix", "predicate": "proves", "object": "the 2008 german grand prix (formally the formula 1 grosser preis santander von deutschland 2008) was"}
{"subject": "math:Arthur_Flowerdew", "predicate": "proves", "object": "james arthur flowerdew (1 december 1906 \u2013 \t30 september 2002) was an english man from norfolk, engla"}
{"subject": "math:2008_Australian_Grand_Prix", "predicate": "proves", "object": "the 2008 australian grand prix (officially known as the 2008 formula 1 ing australian grand prix) wa"}
{"subject": "math:Point_reflection", "predicate": "proves", "object": "in geometry, a point reflection (also called a point inversion or central inversion) is a transforma"}
{"subject": "math:House_Shoes", "predicate": "proves", "object": "michael griffith buchanan, better known as house shoes, is an american detroit-born hip hop producer"}
{"subject": "math:Williams_FW06", "predicate": "proves", "object": "the williams fw06 was the first car produced by the combination of frank williams and patrick head f"}
{"subject": "math:Chief_series", "predicate": "proves", "object": "in abstract algebra, a chief series is a maximal normal series for a group.\n\nit is similar to a comp"}
{"subject": "math:Lotus_81", "predicate": "proves", "object": "the lotus 81 was a formula one racing car built by colin chapman's lotus team for the 1980 formula o"}
{"subject": "math:Cooper_T81", "predicate": "proves", "object": "the cooper t81 is a formula one car produced by the cooper car company for the 1966 formula one seas"}
{"subject": "math:P\u00f5llk\u00fcla", "predicate": "proves", "object": "p\u00f5llk\u00fcla is a village in l\u00e4\u00e4ne-harju parish in harju county in northern estonia. it had the populati"}
{"subject": "math:Bailar_twist", "predicate": "proves", "object": "the bailar twist is a mechanism proposed for the racemization of octahedral complexes containing thr"}
{"subject": "math:Bunyakovsky_conjecture", "predicate": "proves", "object": "the bunyakovsky conjecture (or bouniakowsky conjecture) gives a criterion for a polynomial  in one v"}
{"subject": "math:Kambja_Parish", "predicate": "proves", "object": "kambja parish is a rural municipality in tartu county, estonia.\n\nsettlements\nsmall boroughs\nkambja -"}
{"subject": "math:Epipole", "predicate": "proves", "object": "epipole may refer to:\n\n epipole of carystus, a woman participant in the trojan war.\n in greek mythol"}
{"subject": "math:Ray\u2013Dutt_twist", "predicate": "proves", "object": "the ray\u2013dutt twist is a mechanism proposed for the racemization of octahedral complexes containing t"}
{"subject": "math:Narrow-faced_kangaroo_rat", "predicate": "proves", "object": "the narrow-faced kangaroo rat (dipodomys venustus) is a species of rodent in the family heteromyidae"}
{"subject": "math:Blade_geometry", "predicate": "proves", "object": "the term blade geometry refers to the physical properties of a sword blade: cross-section (or grind)"}
{"subject": "math:Philosophy_and_religion_of_the_Tlingit", "predicate": "proves", "object": "the philosophy and religion of the tlingit, although never formally codified, was historically a fai"}
{"subject": "math:Brabham_BT24", "predicate": "proves", "object": "the repco brabham bt24 was a formula one racing car design. it was one of three cars used by the bra"}
{"subject": "math:Dolor", "predicate": "proves", "object": "dolor may refer to:\n\n pain\n suffering\n the unit of measurement in utilitarianism, see felicific calc"}
{"subject": "math:Scottish_Consolidated_Fund", "predicate": "proves", "object": "the scottish consolidated fund is the main fund operated by the scottish parliament.  it receives a "}
{"subject": "math:2007_Australian_Drivers'_Championship", "predicate": "proves", "object": "the 2007 australian drivers' championship was a motor racing title for drivers of formula 3 racing c"}
{"subject": "math:Alkali_metal_halide", "predicate": "proves", "object": "alkali metal halides, or alkali halides, are the family of inorganic compounds with the chemical for"}
{"subject": "math:KeY", "predicate": "proves", "object": "the key tool is used in formal verification of java programs. it accepts specifications written in t"}
{"subject": "math:C6H10O3", "predicate": "proves", "object": "{{displaytitle:c6h10o3}}\nthe molecular formula c6h10o3 may refer to:\n\n diglycidyl ether\n ethyl aceto"}
{"subject": "math:C6H10O4", "predicate": "proves", "object": "{{displaytitle:c6h10o4}}\nthe molecular formula c6h10o4 (molar mass: 146.14 g/mol, exact mass: 146.05"}
{"subject": "math:C6H10O7", "predicate": "proves", "object": "{{displaytitle:c6h10o7}}\nthe molecular formula c6h10o7 (molar mass: 194.14 g/mol, exact mass: 194.04"}
{"subject": "math:C6H12", "predicate": "proves", "object": "{{displaytitle:c6h12}}\nthe molecular formula c6h12 may refer to following structural isomers:\n\nacycl"}
{"subject": "math:C6H12O", "predicate": "proves", "object": "{{displaytitle:c6h12o}}\nthe molecular formula c6h12o may refer to:\n\n cyclohexanol\n cyclopentyl methy"}
{"subject": "math:C6H12O2", "predicate": "proves", "object": "{{displaytitle:c6h12o2}}\nthe molecular formula c6h12o2 (molar mass: 116.15 g/mol) may refer to:\n but"}
{"subject": "math:C6H12O3", "predicate": "proves", "object": "{{displaytitle:c6h12o3}}\nthe molecular formula c6h12o3 may refer to:\n\n butoxyacetic acid\n 2-ethoxyet"}
{"subject": "math:C6H12O4", "predicate": "proves", "object": "{{displaytitle:c6h12o4}}\nthe molecular formula c6h12o4 (molar mass: 148.15 g/mol, exact mass: 148.07"}
{"subject": "math:C6H12O5", "predicate": "proves", "object": "the molecular formula c6h12o5 (molar mass : 164.16 g/mol, exact mass : 164.068473) may refer to:\n\n 1"}
{"subject": "math:C6H10O8", "predicate": "proves", "object": "{{displaytitle:c6h10o8}}\nthe molecular formula c6h10o8 (molar mass: 210.14 g/mol) may refer to:\n\n sa"}
{"subject": "math:C6H10O2", "predicate": "proves", "object": "{{displaytitle:c6h10o2}}\nthe molecular formula c6h10o2 may refer to:\n\n allyl glycidyl ether\n caprola"}
{"subject": "math:Indane", "predicate": "proves", "object": "indane or indan is an organic compound with the formula c6h4(ch2)3.  it is a colorless liquid hydroc"}
{"subject": "math:Daniel_Campos-Hull", "predicate": "proves", "object": "daniel campos-hull (born 3 august 1989 in barcelona) is a spanish race car driver. his father is spa"}
{"subject": "math:Gowdy_solution", "predicate": "proves", "object": "gowdy universes or, alternatively, gowdy solutions of einstein's equations are simple model spacetim"}
{"subject": "math:Super_Optimal_Broth", "predicate": "proves", "object": "super optimal broth (sob medium) is a nutrient-rich bacterial growth medium used for microbiological"}
{"subject": "math:Merriam's_chipmunk", "predicate": "proves", "object": "merriam's chipmunk (neotamias merriami) is a species of rodent in the family sciuridae. it is found "}
{"subject": "math:Sums_of_powers", "predicate": "proves", "object": "in mathematics and statistics, sums of powers occur in a number of contexts:\n\nsums of squares arise "}
{"subject": "math:Cut_point", "predicate": "proves", "object": "in topology, a cut-point is a point of a connected space such that its removal causes the resulting "}
{"subject": "math:Gyrinal", "predicate": "proves", "object": "gyrinal\u00a0is an organic\u00a0chemical compound\u00a0 - an unsaturated ketoaldehyde - with the formula c14h18o3, "}
{"subject": "math:Armenian_nationalism", "predicate": "proves", "object": "armenian nationalism in the modern period has its roots in the romantic nationalism of mikayel chamc"}
{"subject": "math:Schaefer's_theorem", "predicate": "proves", "object": "schaefer's theorem may refer to two unrelated theorems:\n\n schaefer's dichotomy theorem, a theorem ab"}
{"subject": "math:\u0393-Valerolactone", "predicate": "proves", "object": "\u03b3-valerolactone (gvl) or gamma-valerolactone is an organic compound with the formula c5h8o2. this co"}
{"subject": "math:McLaren_M4B", "predicate": "proves", "object": "the mclaren m4b was a formula one racing car constructed by trojan for bruce mclaren motor racing an"}
{"subject": "math:Tenevil", "predicate": "proves", "object": "tenevil () (ca. 1890\u20131943?) was an chukchi farmer and orthographic pioneer, who is best known for cr"}
{"subject": "math:McLaren_M5A", "predicate": "proves", "object": "the mclaren m5a was a racing car constructed by bruce mclaren motor racing, and was mclaren's first "}
{"subject": "math:Generali_Tower", "predicate": "proves", "object": "generali tower (, \"the twisted one\") is a skyscraper completed in 2017 in milan, italy that reaches "}
{"subject": "math:2008_British_Grand_Prix", "predicate": "proves", "object": "the 2008 british grand prix (officially the 2008 formula 1 santander british grand prix) was a formu"}
{"subject": "math:Lemoine's_conjecture", "predicate": "proves", "object": "in number theory, lemoine's conjecture, named after \u00e9mile lemoine, also known as levy's conjecture, "}
{"subject": "math:C9H10", "predicate": "proves", "object": "{{displaytitle:c9h10}}\nthe molecular formula c9h10 may refer to:\n\n allylbenzene\n cyclononatetraene\n "}
{"subject": "math:C9H8", "predicate": "proves", "object": "{{displaytitle:c9h8}}\nthe molecular formula c9h8 (molar mass: 126.24 g/mol, exact mass: 126.1409 u) "}
{"subject": "math:Charlot_(disambiguation)", "predicate": "proves", "object": "charlot is the son of charlemagne in the matter of france.\n\ncharlot may also refer to:\n\ncharlot equa"}
{"subject": "math:Belgian_passport", "predicate": "proves", "object": "a belgian passport (; ; ) is a travel document issued by belgium to belgian citizens to facilitate i"}
{"subject": "math:Danish_passport", "predicate": "proves", "object": "a danish passport () is an identity document issued to citizens of the kingdom of denmark to facilit"}
{"subject": "math:Swiss_passport", "predicate": "proves", "object": "a swiss passport (; ; ; ) is the passport issued to citizens of switzerland to facilitate internatio"}
{"subject": "math:Relaxation_(iterative_method)", "predicate": "proves", "object": "in numerical mathematics, relaxation methods are iterative methods for solving systems of equations,"}
{"subject": "math:South_African_Formula_One_Championship", "predicate": "proves", "object": "the south african formula one championship, was a formula one motor racing championship held in sout"}
{"subject": "math:Run_average", "predicate": "proves", "object": "in baseball statistics, run average (ra) refers to measures of the rate at which runs are allowed or"}
{"subject": "math:Gans_theory", "predicate": "proves", "object": "gans theory or mie-gans theory is the extension of mie theory for the case of spheroidal particles. "}
{"subject": "math:Caseolus_calculus", "predicate": "proves", "object": "caseolus calculus (common name: madeiran land snail) is a species of small air-breathing land snails"}
{"subject": "math:GP_Challenge", "predicate": "proves", "object": "gp challenge is a 1998 formula one racing game by midas interactive entertainment. the game features"}
{"subject": "math:Bondareva\u2013Shapley_theorem", "predicate": "proves", "object": "the bondareva\u2013shapley theorem, in game theory, describes a necessary and sufficient condition for th"}
{"subject": "math:Four-wheel_drive_in_Formula_One", "predicate": "proves", "object": "four-wheel drive (4wd) has only been tried a handful of times in formula one. in the world champions"}
{"subject": "math:Kinetic_PreProcessor", "predicate": "proves", "object": "the kinetic preprocessor (kpp) is an open-source software tool used in atmospheric chemistry. taking"}
{"subject": "math:BRM_P67", "predicate": "proves", "object": "the brm p67 was an experimental formula one car, designed by tony rudd and built by the british raci"}
{"subject": "math:Extrapolated_Runs", "predicate": "proves", "object": "extrapolated runs (xr) is a baseball statistic invented by sabermetrician jim furtado to estimate th"}
{"subject": "math:Medical_food", "predicate": "proves", "object": "medical foods are foods that are specially formulated and intended for the dietary management of a d"}
{"subject": "math:Jet_Fuel_Formula", "predicate": "proves", "object": "\"jet fuel formula\" is the first and the longest  rocky and bullwinkle story arc and is the pilot of "}
{"subject": "math:Swiss_Formula_Three_Championship", "predicate": "proves", "object": "the swiss formula three championship is a level 2 european formula three car racing series made up o"}
{"subject": "math:Masatoshi_G\u00fcnd\u00fcz_Ikeda", "predicate": "proves", "object": "masato\u015fi g\u00fcnd\u00fcz i\u0307keda (25 february 1926 \u2013 9 february 2003), was a japanese-born turkish mathematici"}
{"subject": "math:Bolza_surface", "predicate": "proves", "object": "in mathematics, the bolza surface, alternatively, complex algebraic bolza curve (introduced by ), is"}
{"subject": "math:Peter_Kox", "predicate": "proves", "object": "petrus dionysius lambertus theodorus kox (born 23 february 1964 in eindhoven) is a racing driver fro"}
{"subject": "math:C6H14", "predicate": "proves", "object": "{{displaytitle:c6h14}}\nthe molecular formula c6h14 (molar mass: 86.17 g/mol) may refer to:\n\n dimethy"}
{"subject": "math:C6H14O", "predicate": "proves", "object": "the molecular formula c6h14o may refer to:\n\n tert-amyl methyl ether\n diisopropyl ether\n dimethylbuta"}
{"subject": "math:C6H14O2", "predicate": "proves", "object": "{{displaytitle:c6h14o2}}\nthe molecular formula c6h14o2 (molar mass: 118.17 g/mol, exact mass: 118.09"}
{"subject": "math:C6H14O3", "predicate": "proves", "object": "{{displaytitle:c6h14o3}}\nthe molecular formula c6h14o3 (molar mass: 134.17 g/mol, exact mass: 134.09"}
{"subject": "math:C6H14O6", "predicate": "proves", "object": "{{displaytitle:c6h14o6}}\nthe molecular formula c6h14o6 may refer to:\n\n galactitol, a sugar alcohol, "}
{"subject": "math:Matra_MS84", "predicate": "proves", "object": "the matra ms84 was the fifth formula one car produced by matra (following the ms9, ms10, ms11 and ms"}
{"subject": "math:Gambling_in_India", "predicate": "proves", "object": "gambling in india varies by state; states in india are entitled to formulate their own laws for gamb"}
{"subject": "math:2008_Formula_Renault_3.5_Series", "predicate": "proves", "object": "the 2008 formula renault 3.5 series was the fourth formula renault 3.5 series season. it began on 26"}
{"subject": "math:Look_See_Proof", "predicate": "proves", "object": "look see proof were a five-piece indie pop-rock band from hertfordshire.\n\nfounded in 2006, look see "}
{"subject": "math:Parallelotope", "predicate": "proves", "object": "in geometry, a parallelotope may refer to:\n a generalization of a parallelepiped and parallelogram\n "}
{"subject": "math:Lanthanum_strontium_cobalt_ferrite", "predicate": "proves", "object": "lanthanum strontium cobalt ferrite (lscf), also called lanthanum strontium cobaltite ferrite is a sp"}
{"subject": "math:Tychonoff_plank", "predicate": "proves", "object": "in topology, the tychonoff plank is a topological space defined using ordinal spaces that is a count"}
{"subject": "math:Palazzo_d'Accursio", "predicate": "proves", "object": "palazzo d'accursio (or palazzo comunale) is a palace once formulated to house major administrative o"}
{"subject": "math:Gold(III)_oxide", "predicate": "proves", "object": "gold(iii) oxide (au2o3) is an inorganic compound of gold and oxygen with the formula au2o3. it is a "}
{"subject": "math:Zafrullah_Chowdhury", "predicate": "proves", "object": "zafrullah chowdhury (27 december 1941 \u2013 11 april 2023) was a bangladeshi public health activist. he "}
{"subject": "math:Robert_Loren_Fleming", "predicate": "proves", "object": "robert loren fleming (born november 5, 1956) is an american comic book writer. he is best known as t"}
{"subject": "math:Italian_Formula_Renault_Championship", "predicate": "proves", "object": "formula renault 2.0 italia was a formula renault 2.0 racing series that is based in italy.  the seri"}
{"subject": "math:MST_Workshop", "predicate": "proves", "object": "the mst workshop (short for math science and technology workshop) is an interactive computer program"}
{"subject": "math:Erd\u0151s\u2013Anning_theorem", "predicate": "proves", "object": "the erd\u0151s\u2013anning theorem states that an infinite number of points in the plane can have mutual integ"}
{"subject": "math:Erd\u0151s\u2013Diophantine_graph", "predicate": "proves", "object": "an erd\u0151s\u2013diophantine graph is an object in the mathematical subject of diophantine equations consist"}
{"subject": "math:Phoenix_Finance", "predicate": "proves", "object": "phoenix finance (otherwise known as dart grand prix) was a british banking company which attempted t"}
{"subject": "math:Nakajima_Satoru_Kanshuu_F1_Hero_MD", "predicate": "proves", "object": "is a formula one video game endorsed by satoru nakajima that was released in 1992 for the mega drive"}
{"subject": "math:Fastest_1", "predicate": "proves", "object": "is a sega mega drive racing game video game released in 1991 exclusively in japan. during the releas"}
{"subject": "math:Martin_Tomczyk", "predicate": "proves", "object": "martin tomczyk (born 7 december 1981) is a german professional racing driver, and bmw motorsport wor"}
{"subject": "math:Peter_Griess", "predicate": "proves", "object": "johann peter griess (6 september 1829 \u2013 30 august 1888) was an industrial chemist and an early pione"}
{"subject": "math:Erotas_(season_1)", "predicate": "proves", "object": "this article contains a summary of the first season of the greek television soap opera erotas.\n\nback"}
{"subject": "math:Marcinkiewicz", "predicate": "proves", "object": "marcinkiewicz is a polish family name of patronymic origin, meaning \"son of marcin (martin)\". people"}
{"subject": "math:Compass_equivalence_theorem", "predicate": "proves", "object": "in geometry, the compass equivalence theorem is an important statement in compass and straightedge c"}
{"subject": "math:Beno\u00eet_de_Maillet", "predicate": "proves", "object": "beno\u00eet de maillet (saint-mihiel, 12 april 1656 \u2013 marseille, 30 january 1738) was a well-travelled fr"}
{"subject": "math:Moganite", "predicate": "proves", "object": "moganite is an oxide mineral with the chemical formula sio2 (silicon dioxide) that was discovered in"}
{"subject": "math:Tadashi_Yamashina", "predicate": "proves", "object": "tadashi yamashina (born 8 may 1951) is the former team principal of the toyota racing formula one te"}
{"subject": "math:Lithium_nitrite", "predicate": "proves", "object": "lithium nitrite is the lithium salt of nitrous acid, with formula lino2. this compound is hygroscopi"}
{"subject": "math:Structural_estimation", "predicate": "proves", "object": "structural estimation is a technique for estimating deep \"structural\" parameters of theoretical econ"}
{"subject": "math:Febarbamate", "predicate": "proves", "object": "febarbamate (inn; solium, tymium), also known as phenobamate, is an anxiolytic and tranquilizer of t"}
{"subject": "math:Serum-ascites_albumin_gradient", "predicate": "proves", "object": "the serum-ascites albumin gradient or gap (saag) is a calculation used in medicine to help determine"}
{"subject": "math:Chuu-Lian_Terng", "predicate": "proves", "object": "chuu-lian terng () is a taiwanese-american mathematician. her research areas are differential geomet"}
{"subject": "math:Buddhist_logico-epistemology", "predicate": "proves", "object": "buddhist logico-epistemology is a term used in western scholarship to describe buddhist systems of  "}
{"subject": "math:Toyota_TF101", "predicate": "proves", "object": "the toyota tf101 was a formula one car used solely for testing purposes during the 2001 season, in p"}
{"subject": "math:Skid_block", "predicate": "proves", "object": "a skid block is a common term for a mandatory attachment to the underside of a racing car. initially"}
{"subject": "math:Toyota_TF102", "predicate": "proves", "object": "the toyota tf102 was the car with which the toyota team competed in the 2002 formula one season, the"}
{"subject": "math:Toyota_TF103", "predicate": "proves", "object": "the toyota tf103 was the car with which the toyota f1 team competed in the 2003 formula one season. "}
{"subject": "math:Toyota_TF104", "predicate": "proves", "object": "the toyota tf104 was a formula one car used by the toyota f1 team during the 2004 formula one season"}
{"subject": "math:Sodium_nitride", "predicate": "proves", "object": "sodium nitride is the inorganic compound with the chemical formula na3n.  in contrast to lithium nit"}
{"subject": "math:Honda_RA099", "predicate": "proves", "object": "the honda ra099 was a prototype formula one racecar, commissioned by honda, designed by ex-ferrari a"}
{"subject": "math:Approximation_to_the_identity", "predicate": "proves", "object": "in mathematics, an approximation to the identity refers to a sequence or net that converges to the i"}
{"subject": "math:F-1_(arcade_game)", "predicate": "proves", "object": "f-1 is a 1976 electro-mechanical arcade racing game developed and published by nakamura manufacturin"}
{"subject": "math:1928_Grand_Prix_season", "predicate": "proves", "object": "the 1928 grand prix season saw the monegasque driver louis chiron, and his bugatti, take seven grand"}
{"subject": "math:Infinite_monkey_theorem_in_popular_culture", "predicate": "proves", "object": "the infinite monkey theorem and its associated imagery is considered a popular and proverbial illust"}
{"subject": "math:(2,3,7)_triangle_group", "predicate": "proves", "object": "in the theory of riemann surfaces and hyperbolic geometry, the triangle group (2,3,7) is particularl"}
{"subject": "math:Ministry_of_Health_(Israel)", "predicate": "proves", "object": "the ministry of health (, translit. misrad habri'ut) is a ministry in the israeli government, respon"}
{"subject": "math:Honda_RC100", "predicate": "proves", "object": "the honda rc100 (also known as honda rc-f1 1.0x, chassis number rc1-203/1) was a prototype formula o"}
{"subject": "math:Hausner_ratio", "predicate": "proves", "object": "the hausner ratio is a number that is correlated to the flowability of a powder or granular material"}
{"subject": "math:Carr_index", "predicate": "proves", "object": "the carr index (carr's index or carr's compressibility index) is an indicator of the compressibility"}
{"subject": "math:Sodium_zincate", "predicate": "proves", "object": "sodium zincate refers to anionic zinc oxides or hydroxides, depending on conditions. in the applicat"}
{"subject": "math:Laplace_limit", "predicate": "proves", "object": "in mathematics, the laplace limit is the maximum value of the eccentricity for which a solution to k"}
{"subject": "math:Sulfanilic_acid", "predicate": "proves", "object": "sulfanilic acid (4-aminobenzenesulfonic acid) is an organic compound with the formula h3nc6h4so3. it"}
{"subject": "math:Geodesic_convexity", "predicate": "proves", "object": "in mathematics \u2014 specifically, in riemannian geometry \u2014 geodesic convexity is a natural generalizati"}
{"subject": "math:Liouville's_equation", "predicate": "proves", "object": "for liouville's equation in dynamical systems, see liouville's theorem (hamiltonian).\n for liouville"}
{"subject": "math:British_Formula_Renault_Championship", "predicate": "proves", "object": "british formula renault championship referred to one of two formula renault championships that were "}
{"subject": "math:Marina_Ratner", "predicate": "proves", "object": "marina evseevna ratner (; october 30, 1938 \u2013 july 7, 2017) was a professor of mathematics at the uni"}
{"subject": "math:Subnet_(mathematics)", "predicate": "proves", "object": "in topology and related areas of mathematics, a subnet is a generalization of the concept of subsequ"}
{"subject": "math:Prolegomena_zur_Geschichte_Israels", "predicate": "proves", "object": "prolegomena zur geschichte israels (; prologue to the history of israel) is a book by german biblica"}
{"subject": "math:Bernard_D._H._Tellegen", "predicate": "proves", "object": "bernard d.h. tellegen (24 june 1900 \u2013 30 august 1990) was a dutch electrical engineer and inventor o"}
{"subject": "math:Tits_alternative", "predicate": "proves", "object": "in mathematics, the tits alternative, named after jacques tits, is an important theorem about the st"}
{"subject": "math:Hydrogen_deuteride", "predicate": "proves", "object": "hydrogen deuteride is an isotopologue of dihydrogen composed of two isotopes of hydrogen: the majori"}
{"subject": "math:Formula_One_tyres", "predicate": "proves", "object": "formula one tyres play a significant role in the performance of a formula one car. the tyres have un"}
{"subject": "math:S5_(modal_logic)", "predicate": "proves", "object": "in logic and philosophy, s5 is one of five systems of modal logic proposed by \nclarence irving lewis"}
{"subject": "math:Leyton_House_CG901", "predicate": "proves", "object": "the leyton house cg901 was a formula one racing car designed by adrian newey for the  formula one wo"}
{"subject": "math:Alfa_Romeo_Grand_Prix_results", "predicate": "proves", "object": "the table below details the european championship results of alfa romeo. the other tables show the r"}
{"subject": "math:2007_Generac_Grand_Prix", "predicate": "proves", "object": "the 2007 champ car generac grand prix at road america was the tenth round of the 2007 champ car worl"}
{"subject": "math:Normalisation_by_evaluation", "predicate": "proves", "object": "in programming language semantics, normalisation by evaluation (nbe) is a method of obtaining the no"}
{"subject": "math:CAMS_55", "predicate": "proves", "object": "\n\nthe cams 55 was a reconnaissance flying boat built in france in the late 1920s which equipped the "}
{"subject": "math:Brabham_Grand_Prix_results", "predicate": "proves", "object": "the table below details the complete world championship grand prix results of the formula one constr"}
{"subject": "math:Formula_Renault_Eurocup", "predicate": "proves", "object": "formula renault eurocup was a formula renault motor racing championship. eurocup raced only on europ"}
{"subject": "math:Bachmann\u2013Howard_ordinal", "predicate": "proves", "object": "in mathematics, the bachmann\u2013howard ordinal (also known as the howard ordinal, or howard-bachmann or"}
{"subject": "math:Larry_Nuber", "predicate": "proves", "object": "larry nuber (november 29, 1948 \u2013 june 8, 2000) was an american auto racing announcer, best known for"}
{"subject": "math:Jonathan_Cochet", "predicate": "proves", "object": "jonathan cochet (born 4 january 1977 in alen\u00e7on, france) is a french racing driver. he won the champ"}
{"subject": "math:F\u00e1bio_Carbone", "predicate": "proves", "object": "f\u00e1bio carbone (born september 4, 1980) is a brazilian race car driver.\n\nracing career\ncarbone began "}
{"subject": "math:Sodium_arsenate", "predicate": "proves", "object": "sodium arsenate is the inorganic compound with the formula na3aso4.  related salts are also called s"}
{"subject": "math:Stallings\u2013Zeeman_theorem", "predicate": "proves", "object": "in mathematics, the stallings\u2013zeeman theorem is a result in algebraic topology, used in the proof of"}
{"subject": "math:David_Saelens", "predicate": "proves", "object": "david saelens (born 2 july 1975 in ypres, west flanders) is a racing driver from belgium. he drove i"}
{"subject": "math:Bristol_450", "predicate": "proves", "object": "the bristol 450 was a successful sports car racing prototype model, designed in 1953 by bristol cars"}
{"subject": "math:Steffensen's_inequality", "predicate": "proves", "object": "steffensen's inequality is an equation in mathematics named after johan frederik steffensen.  \n\nit i"}
{"subject": "math:Strassmann's_theorem", "predicate": "proves", "object": "in mathematics, strassmann's theorem is a result in field theory. it states that, for suitable field"}
{"subject": "math:Spijker's_lemma", "predicate": "proves", "object": "in mathematics, spijker's lemma is a result in the theory of rational mappings of the riemann sphere"}
{"subject": "math:Etofibrate", "predicate": "proves", "object": "etofibrate is a fibrate. it is a combination of clofibrate and niacin, linked together by an ester b"}
{"subject": "math:Lagrange_bracket", "predicate": "proves", "object": "lagrange brackets are certain expressions closely related to poisson brackets that were introduced b"}
{"subject": "math:Quadrature_of_the_Parabola", "predicate": "proves", "object": "quadrature of the parabola () is a treatise on geometry, written by archimedes in the 3rd century bc"}
{"subject": "math:Doubly_linked_face_list", "predicate": "proves", "object": "in applied mathematics, a doubly linked face list (dlfl) is an efficient data structure for storing "}
{"subject": "math:Geometric_group_action", "predicate": "proves", "object": "in mathematics, specifically geometric group theory, a geometric group action is a certain type of a"}
{"subject": "math:Quasi-isometry", "predicate": "proves", "object": "in mathematics, a quasi-isometry is a function between two metric spaces that respects large-scale g"}
{"subject": "math:Quasivariety", "predicate": "proves", "object": "in mathematics, a quasivariety is a class of algebraic structures generalizing the notion of variety"}
{"subject": "math:Reduct", "predicate": "proves", "object": "in universal algebra and in model theory, a reduct of an algebraic structure is obtained by omitting"}
{"subject": "math:Quasi-identity", "predicate": "proves", "object": "in universal algebra, a quasi-identity is an implication of the form\n\ns1 = t1 \u2227 \u2026 \u2227 sn = tn \u2192 s = t\n"}
{"subject": "math:Maurice_Karnaugh", "predicate": "proves", "object": "maurice karnaugh (; october 4, 1924 \u2013 november 8, 2022) was an american physicist, mathematician, co"}
{"subject": "math:Baughton", "predicate": "proves", "object": "baughton is a hamlet in worcestershire, england.\n\nthe population of baughton is 193. the population "}
{"subject": "math:Hindu\u2013German_Conspiracy", "predicate": "proves", "object": "the hindu\u2013german conspiracy(note on the name) was a series of attempts between 1914 and 1917 by indi"}
{"subject": "math:Cetane_index", "predicate": "proves", "object": "cetane index is used as a substitute for the cetane number of diesel fuel.  the cetane index is calc"}
{"subject": "math:Overproof", "predicate": "proves", "object": "overproof is the first full-length album by the american hip hop duo substance abuse. the los angele"}
{"subject": "math:Gisiro_Maruyama", "predicate": "proves", "object": "was a japanese mathematician, noted for his contributions to the study of stochastic processes. the "}
{"subject": "math:Feit\u2013Thompson_conjecture", "predicate": "proves", "object": "in mathematics, the feit\u2013thompson conjecture is a  conjecture in number theory, suggested by  . the "}
{"subject": "math:Flat_manifold", "predicate": "proves", "object": "in mathematics, a riemannian manifold is said to be flat if its riemann curvature tensor is everywhe"}
{"subject": "math:Freiheitssatz", "predicate": "proves", "object": "in mathematics, the freiheitssatz (german: \"freedom/independence theorem\": freiheit + satz) is a res"}
{"subject": "math:Robinson's_joint_consistency_theorem", "predicate": "proves", "object": "robinson's joint consistency theorem is an important theorem of mathematical logic. it is related to"}
{"subject": "math:Malinta_Tunnel", "predicate": "proves", "object": "the malinta tunnel is a tunnel complex built by the united states army corps of engineers on the isl"}
{"subject": "math:Thiuram_disulfide", "predicate": "proves", "object": "thiuram disulfides are a class of organosulfur compounds with the formula (r2ncss)2. many examples a"}
{"subject": "math:Romain_Grosjean", "predicate": "proves", "object": "romain david jeremie grosjean (; born 17 april 1986) is a french and swiss professional racing drive"}
{"subject": "math:Apeirotope", "predicate": "proves", "object": "in geometry, an apeirotope or infinite polytope is a generalized polytope which has infinitely many "}
{"subject": "math:Banach\u2013Stone_theorem", "predicate": "proves", "object": "in mathematics, the banach\u2013stone theorem is a classical result in the theory of continuous functions"}
{"subject": "math:Multipliers_and_centralizers_(Banach_spaces)", "predicate": "proves", "object": "in mathematics, multipliers and centralizers are algebraic objects in the study of banach spaces. th"}
{"subject": "math:Axiom_of_categoricity", "predicate": "proves", "object": "the axiom of categoricity is a term coined by j. k. chambers in 1995 to refer to the once-widespread"}
{"subject": "math:Dicranidae", "predicate": "proves", "object": "the dicranidae are a widespread and diverse subclass of mosses in class bryopsida, with many species"}
{"subject": "math:Ath\u00e9n\u00e9e_de_Luxembourg", "predicate": "proves", "object": "{\n  \"type\": \"featurecollection\",\n  \"features\": [\n    {\n      \"type\": \"feature\",\n      \"properties\": "}
{"subject": "math:Monaco_Grand_Prix_(disambiguation)", "predicate": "proves", "object": "the monaco grand prix is a formula one motor race held on the streets of monaco.\n\nmonaco grand prix "}
{"subject": "math:Cesare_Fiorio", "predicate": "proves", "object": "cesare fiorio (born may 26, 1939) is a former formula one sporting director for ferrari, ligier and "}
{"subject": "math:Yamabe_invariant", "predicate": "proves", "object": "in mathematics, in the field of differential geometry, the yamabe invariant, also referred to as the"}
{"subject": "math:Sigma_constant", "predicate": "proves", "object": "sigma constant (\u03c3 constant) may refer to:\n yamabe invariant, in mathematics\n a parameter of the hamm"}
{"subject": "math:Demonstration_(acting)", "predicate": "proves", "object": "'demonstration' is a monstration that serves as proof in storytelling. \n\ndemonstration is a central "}
{"subject": "math:Separation_of_the_elements", "predicate": "proves", "object": "separation of the elements is an aesthetic principle formulated by the german modernist theatre prac"}
{"subject": "math:Divinyl_ether", "predicate": "proves", "object": "divinyl ether is the organic compound with the formula o(ch=ch2)2.  it is a colorless, volatile liqu"}
{"subject": "math:Singular_integral", "predicate": "proves", "object": "in mathematics, singular integrals are central to harmonic analysis and are intimately connected wit"}
{"subject": "math:Proof_that_\u03c0_is_irrational", "predicate": "proves", "object": "in the 1760s, johann heinrich lambert was the first to prove that the number  is irrational, meaning"}
{"subject": "math:Rose's_Dilemma", "predicate": "proves", "object": "rose's dilemma is the final play written by neil simon. it ran in los angeles and off-broadway in 20"}
{"subject": "math:Laplace_principle_(large_deviations_theory)", "predicate": "proves", "object": "in mathematics, laplace's principle is a basic theorem in large deviations theory which is similar t"}
{"subject": "math:BRM_Grand_Prix_results", "predicate": "proves", "object": "formula one world championship results for the brm formula one team and brm cars entered by other te"}
{"subject": "math:GYRO", "predicate": "proves", "object": "gyro is a computational plasma physics code developed and maintained at general atomics.  it solves "}
{"subject": "math:Hadwiger\u2013Finsler_inequality", "predicate": "proves", "object": "in mathematics, the hadwiger\u2013finsler inequality is a result on the geometry of triangles in the eucl"}
{"subject": "math:Where_You_Come_From", "predicate": "proves", "object": "where you come from may refer to:\n\n\"where you come from\", a 2018 song by disclosure\n\"where you come "}
{"subject": "math:Rationalism_(architecture)", "predicate": "proves", "object": "in architecture, rationalism () is an architectural current which mostly developed from italy in the"}
{"subject": "math:Hurwitz_surface", "predicate": "proves", "object": "in riemann surface theory and hyperbolic geometry, a hurwitz surface, named after adolf hurwitz, is "}
{"subject": "math:Chloramine-T", "predicate": "proves", "object": "chloramine-t is the organic compound with the formula ch3c6h4so2nclna.  both the anhydrous salt and "}
{"subject": "math:Mercuric_amidochloride", "predicate": "proves", "object": "mercuric amidochloride is an inorganic compound with the formula .\n\npreparation and properties\nit ar"}
{"subject": "math:Trimethylsilanol", "predicate": "proves", "object": "trimethylsilanol (tms) is an organosilicon compound with the formula (ch3)3sioh.  the si centre bear"}
{"subject": "math:Ono's_inequality", "predicate": "proves", "object": "in mathematics, ono's inequality is a theorem about triangles in the euclidean plane. in its origina"}
{"subject": "math:Chaabou", "predicate": "proves", "object": "according to the early christian bishop epiphanius of salamis (c. 315\u2013403), chaabou or kaabu (nabata"}
{"subject": "math:Thymaridas", "predicate": "proves", "object": "thymaridas of paros (; c. 400 \u2013 c. 350 bce) was an ancient greek mathematician and pythagorean noted"}
{"subject": "math:Hesketh_308E", "predicate": "proves", "object": "the hesketh 308e is a formula one racing car model built by the hesketh racing team in . the car was"}
{"subject": "math:Sauber_C21", "predicate": "proves", "object": "the sauber c21 was the car with which the sauber team competed in the  formula one season. the car w"}
{"subject": "math:Methylenedioxy", "predicate": "proves", "object": "methylenedioxy is the term used in the field of chemistry, particularly in organic chemistry, for a "}
{"subject": "math:Hydroxymethyl_group", "predicate": "proves", "object": "the hydroxymethyl group is the name for a substituent with the structural formula \u2212ch2\u2212oh. it consis"}
{"subject": "math:Free_parameter", "predicate": "proves", "object": "a free parameter is a variable in a mathematical model which cannot be predicted precisely or constr"}
{"subject": "math:Dibenzo-18-crown-6", "predicate": "proves", "object": "dibenzo-18-crown-6 is the organic compound with the formula [oc6h4och2ch2och2ch2]2.  it is a white s"}
{"subject": "math:Received_view_of_theories", "predicate": "proves", "object": "the received view of theories is a position in the philosophy of science that identifies a scientifi"}
{"subject": "math:Hexanitroethane", "predicate": "proves", "object": "hexanitroethane (hne) is an organic compound with chemical formula c2n6o12 or (o2n)3c-c(no2)3.  it i"}
{"subject": "math:Strontium_peroxide", "predicate": "proves", "object": "strontium peroxide is an inorganic compound with the formula sr o2 that exists in both anhydrous and"}
{"subject": "math:Macbeath_surface", "predicate": "proves", "object": "in riemann surface theory and hyperbolic geometry, the macbeath surface, also called macbeath's curv"}
{"subject": "math:Kluge's_law", "predicate": "proves", "object": "kluge's law is a controversial proto-germanic sound law formulated by friedrich kluge. it purports t"}
{"subject": "math:Lanthanum_strontium_manganite", "predicate": "proves", "object": "lanthanum strontium manganite (lsm or lsmo) is an oxide ceramic material with the general formula la"}
{"subject": "math:Mead_Johnson", "predicate": "proves", "object": "mead johnson & company, llc is an american company that is a leading manufacturer of infant formula,"}
{"subject": "math:Group_Hopf_algebra", "predicate": "proves", "object": "in mathematics, the group hopf algebra of a given group is a certain construct related to the symmet"}
{"subject": "math:Wiedersehen_pair", "predicate": "proves", "object": "in mathematics\u2014specifically, in riemannian geometry\u2014a wiedersehen pair is a pair of distinct points "}
{"subject": "math:Borel_fixed-point_theorem", "predicate": "proves", "object": "in mathematics, the borel fixed-point theorem is a fixed-point theorem in algebraic geometry general"}
{"subject": "math:Brabham_BT53", "predicate": "proves", "object": "the brabham bt53 was a formula one car designed by gordon murray for the brabham team for the 1984 f"}
{"subject": "math:Berger's_isoembolic_inequality", "predicate": "proves", "object": "in mathematics, berger's isoembolic inequality is a result in riemannian geometry that gives a lower"}
{"subject": "math:Antoinette_8V", "predicate": "proves", "object": "the antoinette 8v was an early french eight-cylinder, liquid-cooled, v engine, the first series prod"}
{"subject": "math:Amphiblemma_amoenum", "predicate": "proves", "object": "amphiblemma amoenum is a species of plant in the family melastomataceae. it is endemic to cameroon. "}
{"subject": "math:Amphiblemma", "predicate": "proves", "object": "amphiblemma is a genus of flowering plants in the family melastomataceae. there are at least 15 spec"}
{"subject": "math:Paradoxes_of_material_implication", "predicate": "proves", "object": "the paradoxes of material implication are a group of true formulae involving material conditionals w"}
{"subject": "math:Connexive_logic", "predicate": "proves", "object": "connexive logic names one class of alternative, or non-classical, logics designed to exclude the par"}
{"subject": "math:Minister_of_Justice_(New_Zealand)", "predicate": "proves", "object": "the minister of justice is a minister in the government of new zealand. the minister has responsibil"}
{"subject": "math:Hitoshi_Ogawa", "predicate": "proves", "object": "was a japanese racing car driver.\n\ncareer\n\nduring the 1980s, he competed in several fuji grand champ"}
{"subject": "math:Filling_radius", "predicate": "proves", "object": "in riemannian geometry, the filling radius of a riemannian manifold x is a metric invariant of x.  i"}
{"subject": "math:Jerry_Kazdan", "predicate": "proves", "object": "jerry lawrence kazdan (born 31 october 1937 in detroit, michigan) is an american mathematician noted"}
{"subject": "math:EAS3", "predicate": "proves", "object": "eas3 (eas = ein-ausgabe-system) is a software toolkit for reading and writing structured binary data"}
{"subject": "math:Appleton\u2013Hartree_equation", "predicate": "proves", "object": "the appleton\u2013hartree equation, sometimes also referred to as the appleton\u2013lassen equation is a mathe"}
{"subject": "math:Toric_manifold", "predicate": "proves", "object": "in mathematics, a toric manifold is a topological analogue of toric variety in algebraic geometry. i"}
{"subject": "math:Discontinuous_Galerkin_method", "predicate": "proves", "object": "in applied mathematics, discontinuous galerkin methods (dg methods) form a class of numerical method"}
{"subject": "math:Icelandic_passport", "predicate": "proves", "object": "icelandic passports () are issued to citizens of iceland for the purpose of international travel. be"}
{"subject": "math:Eugen_Netto", "predicate": "proves", "object": "eugen otto erwin netto (30 june 1848 \u2013 13 may 1919) was a german mathematician. he was born in halle"}
{"subject": "math:1983_Race_of_Champions", "predicate": "proves", "object": "the 1983 race of champions was a non-championship formula one race held at brands hatch on 10 april "}
{"subject": "math:World_Grand_Prix_(video_game)", "predicate": "proves", "object": "is a racing video game released by sega for the master system in 1986. the player drives a formula o"}
{"subject": "math:Race_of_a_Thousand_Years", "predicate": "proves", "object": "the 2000 race of a thousand years was an endurance race and the final round of the 2000 american le "}
{"subject": "math:BMW_Motorsport", "predicate": "proves", "object": "bmw m motorsport (formerly bmw motorsport) is the division of bmw responsible for motorsport-related"}
{"subject": "math:Peridynamics", "predicate": "proves", "object": "peridynamics is a non-local formulation of continuum mechanics that is oriented toward deformations "}
{"subject": "math:Australian_Grand_Prix_(disambiguation)", "predicate": "proves", "object": "australian grand prix can refer to:\n\naustralian grand prix, a formula one motor race\naustralian moto"}
{"subject": "math:British_Grand_Prix_(disambiguation)", "predicate": "proves", "object": "the british grand prix is a formula one motor race.\n\nbritish grand prix can also refer to:\n\nbritish "}
{"subject": "math:Austrian_Grand_Prix_(disambiguation)", "predicate": "proves", "object": "austrian grand prix can refer to:\n\naustrian grand prix, a formula one motor race\naustrian motorcycle"}
{"subject": "math:European_Grand_Prix_(disambiguation)", "predicate": "proves", "object": "european grand prix can refer to:\n\neuropean grand prix, a formula one motor race\neuropean motorcycle"}
{"subject": "math:German_Grand_Prix_(disambiguation)", "predicate": "proves", "object": "german grand prix can refer to:\n\ngerman grand prix, a formula one motor race\ngerman motorcycle grand"}
{"subject": "math:Italian_Grand_Prix_(disambiguation)", "predicate": "proves", "object": "italian grand prix can refer to:\n\nitalian grand prix, a formula one motor race\nitalian motorcycle gr"}
{"subject": "math:Swedish_Grand_Prix_(disambiguation)", "predicate": "proves", "object": "the swedish grand prix was a round of the formula one world championship from 1973 to 1978.\n\nswedish"}
{"subject": "math:Chinese_Grand_Prix_(disambiguation)", "predicate": "proves", "object": "chinese grand prix is a formula one motor race.\n\nchinese grand prix may also refer to:\n\nchinese moto"}
{"subject": "math:French_Grand_Prix_(disambiguation)", "predicate": "proves", "object": "the french grand prix is a formula one motor race.\n\nfrench grand prix may also refer to:\n\nfrench gra"}
{"subject": "math:Japanese_Grand_Prix_(disambiguation)", "predicate": "proves", "object": "japanese grand prix can refer to:\n\njapanese grand prix, a formula one motor race\njapanese motorcycle"}
{"subject": "math:Pacific_Grand_Prix_(disambiguation)", "predicate": "proves", "object": "pacific grand prix was a formula one motor race.\n\npacific grand prix may also refer to:\npacific raci"}
{"subject": "math:Spanish_Grand_Prix_(disambiguation)", "predicate": "proves", "object": "spanish grand prix or spain grand prix can refer to:\n\nspanish grand prix, a formula one motor race\ni"}
{"subject": "math:Turkish_Grand_Prix_(disambiguation)", "predicate": "proves", "object": "turkish grand prix can refer to:\n\nturkish grand prix, a formula one motor race\nturkish motorcycle gr"}
{"subject": "math:Board_on_Science,_Technology,_and_Economic_Policy", "predicate": "proves", "object": "the united states national academy of sciences' board on science, technology, and economic policy (s"}
{"subject": "math:Belgian_Grand_Prix_(disambiguation)", "predicate": "proves", "object": "the belgian grand prix is a formula one motor race.\n\nbelgian grand prix may also refer to:\n\nbelgian "}
{"subject": "math:Brazilian_Grand_Prix_(disambiguation)", "predicate": "proves", "object": "brazilian grand prix can refer to:\n\nbrazilian grand prix, a formula one motor race\nbrazilian motorcy"}
{"subject": "math:Canadian_Grand_Prix_(disambiguation)", "predicate": "proves", "object": "canadian grand prix can refer to:\n\ncanadian grand prix, a formula one motor race\ncanadian motorcycle"}
{"subject": "math:South_African_Grand_Prix_(disambiguation)", "predicate": "proves", "object": "south african grand prix can refer to:\n\nsouth african grand prix, a formula one motor race\nindividua"}
{"subject": "math:Guaro_(drink)", "predicate": "proves", "object": "guaro is a liquor made in many places in latin america. a clear liquid distilled from sugar cane jui"}
{"subject": "math:W\u0142odzimierz_Kuperberg", "predicate": "proves", "object": "w\u0142odzimierz kuperberg (born january 19, 1941) is a professor of mathematics at auburn university, wi"}
{"subject": "math:Magnesium_gluconate", "predicate": "proves", "object": "magnesium gluconate is a compound with formula mgc12h22o14. it is the magnesium salt of gluconic aci"}
{"subject": "math:Isabel_Maddison", "predicate": "proves", "object": "ada isabel maddison (12 april 1869 \u2013 22 october 1950) was a british mathematician best known for her"}
{"subject": "math:Pollard's_kangaroo_algorithm", "predicate": "proves", "object": "in computational number theory and computational algebra, pollard's kangaroo algorithm (also pollard"}
{"subject": "math:Dixmier_conjecture", "predicate": "proves", "object": "in algebra the dixmier conjecture,  asked by jacques dixmier in 1968, is the conjecture that any end"}
{"subject": "math:Functional-theoretic_algebra", "predicate": "proves", "object": "any vector space can be made into a unital associative algebra, called functional-theoretic algebra,"}
{"subject": "math:Romanian_profanity", "predicate": "proves", "object": "the following is a list of words and formulations commonly used as profanity throughout romania.\n\npu"}
{"subject": "math:Mononitrotoluene", "predicate": "proves", "object": "mononitrotoluene or nitrotoluene (mnt or nt), is any of three organic compounds with the formula c6h"}
{"subject": "math:Lune_(geometry)", "predicate": "proves", "object": "in plane geometry, a lune () is the concave-convex region bounded by two circular arcs. it has one b"}
{"subject": "math:Triphenyl_phosphite", "predicate": "proves", "object": "triphenyl phosphite is the organophosphorus compound with the formula p(oc6h5)3. it is a colourless "}
{"subject": "math:Triphenyl_phosphate", "predicate": "proves", "object": "triphenyl phosphate (tphp) is the chemical compound with the formula op(oc6h5)3. it is the simplest "}
{"subject": "math:Mequinol", "predicate": "proves", "object": "mequinol, mehq or 4-methoxyphenol, is an organic compound with the formula .  it is a phenol with a "}
{"subject": "math:Software_parametric_models", "predicate": "proves", "object": "a parametric model is a set of related mathematical equations that incorporates variable parameters."}
{"subject": "math:Good_regulator", "predicate": "proves", "object": "the good regulator is a theorem conceived by roger c. conant and w. ross ashby that is central to cy"}
{"subject": "math:Local_flatness", "predicate": "proves", "object": "in topology, a branch of mathematics, local flatness is a smoothness condition that can be imposed o"}
{"subject": "math:M\u00e9moires_(Berlioz)", "predicate": "proves", "object": "the m\u00e9moires de hector berlioz are an autobiography by french composer hector berlioz. first seriali"}
{"subject": "math:2007_Formula_Renault_V6_Asia_Championship", "predicate": "proves", "object": "the 2007 formula v6 asia season took place in five asian countries. the season started on may 5\u20136 in"}
{"subject": "math:Tris(8-hydroxyquinolinato)aluminium", "predicate": "proves", "object": "tris(8-hydroxyquinolinato)aluminium is the chemical compound with the formula al(c9h6no)3.  widely a"}
{"subject": "math:Computer-aided_scouting", "predicate": "proves", "object": "computer-aided sports scouting is the use of data analysis by computer to assist sports scouts to id"}
{"subject": "math:Algebraic_topology_(object)", "predicate": "proves", "object": "in mathematics, the algebraic topology on the set of group representations from g to a topological g"}
{"subject": "math:Victor_Andreevich_Toponogov", "predicate": "proves", "object": "victor andreevich toponogov (; march 6, 1930 \u2013 november 21, 2004) was an outstanding russian mathema"}
{"subject": "math:List_of_integrable_models", "predicate": "proves", "object": "this is a list of integrable models as well as classes of integrable models in physics.\n\nintegrable "}
{"subject": "math:Harald_T._Friis", "predicate": "proves", "object": "harald trap friis (22\u00a0february 1893 \u2013 15\u00a0june 1976), who published as h.\u00a0t. friis, was a danish-amer"}
{"subject": "math:Bicycloundecane", "predicate": "proves", "object": "bicycloundecane is an organic compound with molecular formula c11h20. it is essentially the spherica"}
{"subject": "math:Jani_Kervinen", "predicate": "proves", "object": "jani kervinen is a finnish electronic music producer, specialized mainly in the trance subgenre. he "}
{"subject": "math:Normal_plane", "predicate": "proves", "object": "a normal plane may refer to\nthe plane perpendicular to the tangent vector of a space curve; see fren"}
{"subject": "math:Conditional_disjunction", "predicate": "proves", "object": "in logic, the term conditional disjunction can refer to:\n\nconditioned disjunction, a ternary logical"}
{"subject": "math:Planar", "predicate": "proves", "object": "planar is an adjective meaning \"relating to a plane (geometry)\".\n\nplanar may also refer to:\n\nscience"}
{"subject": "math:Non-positive_curvature", "predicate": "proves", "object": "in mathematics, spaces of non-positive curvature occur in many contexts and form a generalization of"}
{"subject": "math:Loparite-(Ce)", "predicate": "proves", "object": "loparite-(ce) is a granular, brittle oxide mineral of the perovskite class. it is black to dark grey"}
{"subject": "math:Trimethyltin_chloride", "predicate": "proves", "object": "trimethyltin chloride is an organotin compound with the formula . it is a white solid that is highly"}
{"subject": "math:Triphenyltin_chloride", "predicate": "proves", "object": "triphenyltin chloride is an organotin compound with formula sn(c6h5)3cl.  it is a colourless solid t"}
{"subject": "math:Tetraethyltin", "predicate": "proves", "object": "tetraethyltin or tetraethyl tin is a chemical compound with the formula , that is, a tin atom attach"}
{"subject": "math:Evolutionary_invasion_analysis", "predicate": "proves", "object": "evolutionary invasion analysis, also known as adaptive dynamics, is a set of mathematical modeling t"}
{"subject": "math:Alkyl_sulfonate", "predicate": "proves", "object": "alkyl sulfonates are esters of alkane sulfonic acids with the general formula r-so2-o-r'. they act a"}
{"subject": "math:Flip_(mathematics)", "predicate": "proves", "object": "in algebraic geometry, flips  and  flops are  codimension-2 surgery operations arising in the minima"}
{"subject": "math:Lotus_101", "predicate": "proves", "object": "the lotus 101 was the car with which the lotus team competed in the 1989 formula one world champions"}
{"subject": "math:Tricyclohexylphosphine", "predicate": "proves", "object": "tricyclohexylphosphine is the tertiary phosphine with the formula p(c6h11)3. commonly used as a liga"}
{"subject": "math:Lotus_12", "predicate": "proves", "object": "the lotus 12 was a british  racing car used in formula two and formula one. it first debuted at the "}
{"subject": "math:Fluoronium", "predicate": "proves", "object": "the fluoronium ion is an inorganic cation with the chemical formula . it is one of the cations found"}
{"subject": "math:Flat_(geometry)", "predicate": "proves", "object": "in geometry, a flat or affine subspace is a subset of an affine space that is itself an affine space"}
{"subject": "math:Ministry_of_Culture_(Lithuania)", "predicate": "proves", "object": "the ministry of culture of the republic of lithuania () is a governmental body of the republic of li"}
{"subject": "math:Erd\u0151s\u2013Mordell_inequality", "predicate": "proves", "object": "in euclidean geometry, the erd\u0151s\u2013mordell inequality states that for any triangle abc and point p ins"}
{"subject": "math:Methanocalculus", "predicate": "proves", "object": "methanocalculus is a genus of the methanomicrobiales, and is known to include methanogens.\n\nthe geno"}
{"subject": "math:Hulme_End", "predicate": "proves", "object": "hulme end () is a small hamlet in staffordshire, england.  it is located in the peak district nation"}
{"subject": "math:Chloromethyl_methyl_ether", "predicate": "proves", "object": "chloromethyl methyl ether (cmme) is a compound with formula ch3och2cl.  a colorless liquid, it is a "}
{"subject": "math:Bis(chloromethyl)_ether", "predicate": "proves", "object": "bis(chloromethyl) ether is an organic compound with the chemical formula (ch2cl)2o. it is a colourle"}
{"subject": "math:Methoxymethyl_ether", "predicate": "proves", "object": "in organic chemistry, a methoxymethyl ether is a functional group with the formula , abbreviated mom"}
{"subject": "math:Maze_Prison_escape", "predicate": "proves", "object": "the maze prison escape (known to irish republicans as the great escape) took place on 25 september 1"}
{"subject": "math:Fabian_Coulthard", "predicate": "proves", "object": "fabian \"fabs\" coulthard (born 28 july 1982) is a british-born new zealand professional race car driv"}
{"subject": "math:Niobium_pentoxide", "predicate": "proves", "object": "niobium pentoxide is the inorganic compound with the formula nb2o5. a colorless, insoluble, and fair"}
{"subject": "math:Commission_internationale_permanente_pour_l'\u00e9preuv", "predicate": "proves", "object": "the  (\"permanent international commission for the proof of small arms\" \u2013 commonly abbreviated as c.i"}
{"subject": "math:Lotus_102", "predicate": "proves", "object": "the lotus 102 was a formula one racing car designed by lotus for use in the 1990 formula one season "}
{"subject": "math:Ostrowski\u2013Hadamard_gap_theorem", "predicate": "proves", "object": "in mathematics, the ostrowski\u2013hadamard gap theorem is a result about the analytic continuation of co"}
{"subject": "math:Iitaka_dimension", "predicate": "proves", "object": "in algebraic geometry, the iitaka dimension of a line bundle l on an algebraic variety x is the dime"}
{"subject": "math:Temagamite", "predicate": "proves", "object": "temagamite is a bright white palladium mercury telluride mineral with a hardness of  on the mohs sca"}
{"subject": "math:DUL", "predicate": "proves", "object": "dul may refer to:\n dialup users list\n dolce+dns-ultralite - a lighter owl axiomatization of dolce an"}
{"subject": "math:Leanne_Ferrier", "predicate": "proves", "object": "leanne ferrier (sometimes known as leanne tander, born 5 june 1980 in sydney, australia) is an austr"}
{"subject": "math:2,4,6-Trimethylaniline", "predicate": "proves", "object": "2,4,6-trimethylaniline is an organic compound with formula (ch3)3c6h2nh2. it is an aromatic amine th"}
{"subject": "math:3-(Trifluoromethyl)aniline", "predicate": "proves", "object": "3-(trifluoromethyl)aniline is an organic compound with the formula cf3c6h4nh2. it is one of three is"}
{"subject": "math:Cyanuric_fluoride", "predicate": "proves", "object": "cyanuric fluoride or 2,4,6-trifluoro-1,3,5-triazine is a chemical compound with the formula (cnf)3. "}
{"subject": "math:Trichlorophenylsilane", "predicate": "proves", "object": "trichlorophenylsilane is a compound with formula si(c6h5)cl3.\n\nsimilarly to other alkylchlorosilanes"}
{"subject": "math:Trichloro(dichlorophenyl)silane", "predicate": "proves", "object": "trichloro(dichlorophenyl)silane is a compound with formula si(c6h3cl2)cl3.\n\nsee also\n organosilicon#"}
{"subject": "math:Trichloro(chloromethyl)silane", "predicate": "proves", "object": "trichloro(chloromethyl)silane is a compound with formula si(ch2cl)cl3.\n\nsee also\n\n organosilicon#sil"}
{"subject": "math:Scattering-matrix_method", "predicate": "proves", "object": "in computational electromagnetics, the scattering-matrix method (smm) is a numerical method used to "}
{"subject": "math:Dimethyldichlorosilane", "predicate": "proves", "object": "dimethyldichlorosilane is a tetrahedral, organosilicon compound with the formula .  at room temperat"}
{"subject": "math:Methyltrichlorosilane", "predicate": "proves", "object": "methyltrichlorosilane, also known as trichloromethylsilane, is a monomer and organosilicon compound "}
{"subject": "math:Mental_prayer", "predicate": "proves", "object": "mental prayer is a form of meditational prayer, \"performed without aid of any particular formula.\" i"}
{"subject": "math:Vantieghems_theorem", "predicate": "proves", "object": "in number theory, vantieghems theorem is a primality criterion. it states that a natural number n\u22653 "}
{"subject": "math:G\u00e9rard_Ducarouge", "predicate": "proves", "object": "g\u00e9rard ducarouge (23 october 1941 \u2013 19 february 2015) was a french formula one car designer whose ca"}
{"subject": "math:Hydroxylammonium_chloride", "predicate": "proves", "object": "hydroxylammonium chloride is a chemical compound with the formula . it is the hydrochloric acid salt"}
{"subject": "math:John_Hilton_Grace", "predicate": "proves", "object": "john hilton grace frs (21 may 1873 \u2013 4 march 1958) was a british mathematician.  the grace\u2013walsh\u2013sze"}
{"subject": "math:Hexafluoroacetylacetone", "predicate": "proves", "object": "hexafluoroacetylacetone is the chemical compound with the nominal formula cf3c(o)ch2c(o)cf3 (often a"}
{"subject": "math:Saab_Direct_Ignition", "predicate": "proves", "object": "saab direct ignition is a capacitor discharge ignition developed by saab automobile, then known as s"}
{"subject": "math:Vietoris\u2013Rips_complex", "predicate": "proves", "object": "in topology, the vietoris\u2013rips complex, also called the vietoris complex or rips complex, is a way o"}
{"subject": "math:A_F\u00f3rmula_de_Deus", "predicate": "proves", "object": "a f\u00f3rmula de deus (god's formula), in english the einstein enigma, is the fourth novel written by th"}
{"subject": "math:Noise_reduction_(disambiguation)", "predicate": "proves", "object": "noise reduction may refer to:\naudio noise reduction\nimage noise reduction\nsoundproofing\nrecord resto"}
{"subject": "math:World_Tour_&_Other_Destinations", "predicate": "proves", "object": "world tour & other destinations  is the third full-length album by american alternative rock band ts"}
{"subject": "math:Paul_Crooks", "predicate": "proves", "object": "paul crooks is a former formula one engineer.\n\ncrooks began his career as an apprentice aeronautical"}
{"subject": "math:Lithium_iron_phosphate", "predicate": "proves", "object": "lithium iron phosphate or lithium ferro-phosphate (lfp) is an inorganic compound with the formula . "}
{"subject": "math:Descartes'_theorem_(disambiguation)", "predicate": "proves", "object": "descartes' theorem may refer to:\n\ndescartes' theorem concerning four mutually tangent circles\ndescar"}
{"subject": "math:Vaughn_Gittin", "predicate": "proves", "object": "vaughn gittin jr. (born september 20, 1980), commonly known as jr, is a self-taught, professional dr"}
{"subject": "math:Adam_Macrow", "predicate": "proves", "object": "adam macrow (born 23 november 1978, in victoria) is a professional race car driver.\n\nin 1985, he sta"}
{"subject": "math:Parallel_mesh_generation", "predicate": "proves", "object": "parallel mesh generation in numerical analysis is a new research area between the boundaries  of  tw"}
{"subject": "math:March_Grand_Prix_results", "predicate": "proves", "object": "the table below details the complete world championship grand prix results for the march formula one"}
{"subject": "math:Reversible_charge_injection_limit", "predicate": "proves", "object": "for an electrode in a solution with a particular size and geometry, the reversible charge injection "}
{"subject": "math:1984_Australian_Grand_Prix", "predicate": "proves", "object": "the 1984 australian grand prix was a race for formula mondial racing cars, held at calder park racew"}
{"subject": "math:John_H._Herz", "predicate": "proves", "object": "hans hermann herz (september 23, 1908 \u2013 december 26, 2005) was an american scholar of international "}
{"subject": "math:Percoll", "predicate": "proves", "object": "percoll is a tool for efficient density separation in cell biology that was first formulated by pert"}
{"subject": "math:Featherproof_Books", "predicate": "proves", "object": "featherproof books is a small, independent publisher based in chicago, illinois. it was founded in 2"}
{"subject": "math:2000_Australian_Formula_Ford_Championship", "predicate": "proves", "object": "the 2000 australian formula ford championship was open to drivers of racing cars complying with cams"}
{"subject": "math:Australian_Formula_3", "predicate": "proves", "object": "australian formula 3 has been the name applied to two distinctly different motor racing categories, "}
{"subject": "math:Lambda-mu_calculus", "predicate": "proves", "object": "in mathematical logic and computer science, the lambda-mu calculus is an extension of the lambda cal"}
{"subject": "math:Carlo_Gancia", "predicate": "proves", "object": "carlo gancia may refer to:\n\ncarlo gancia (wine), founder of the gancia wine-producing company\ncarlo "}
{"subject": "math:Mean_curvature_flow", "predicate": "proves", "object": "in the field of differential geometry in mathematics, mean curvature flow is an example of a geometr"}
{"subject": "math:Sprint_race", "predicate": "proves", "object": "the term sprint race may refer to:\nformula one sprint racing\nshort-distance speed skating races\nshor"}
{"subject": "math:Madeiran_land_snail", "predicate": "proves", "object": "madeiran land snail is a common name which has been given to several different species of terrestria"}
{"subject": "math:Plutonium(III)_chloride", "predicate": "proves", "object": "plutonium(iii) chloride is a chemical compound with the formula pucl3. this ionic plutonium salt can"}
{"subject": "math:Caloric_polynomial", "predicate": "proves", "object": "in differential equations, the mth-degree caloric polynomial (or heat polynomial) is a \"parabolicall"}
{"subject": "math:FIA_European_Formula_3_Cup", "predicate": "proves", "object": "the fia european formula 3 cup was a formula three race held annually in europe from 1985 to 1990 an"}
{"subject": "math:Hanes\u2013Woolf_plot", "predicate": "proves", "object": "in biochemistry, a hanes\u2013woolf plot, hanes plot, or plot of  against ,  is a graphical representatio"}
{"subject": "math:Michael_P._Drazin", "predicate": "proves", "object": "michael peter drazin (born 1929) is an american mathematician of british background, working in nonc"}
{"subject": "math:List_of_constituencies_of_Kenya", "predicate": "proves", "object": "constituencies of kenya are used to elect members of the national assembly, the lower chamber of the"}
{"subject": "math:Yuri_Nesterenko_(mathematician)", "predicate": "proves", "object": "yuri valentinovich nesterenko (; born 5 december 1946 in kharkov, ussr, now ukraine) is a soviet and"}
{"subject": "math:Cotton_States_League", "predicate": "proves", "object": "the cotton states league name was used five times in baseball history. the first cotton states leagu"}
{"subject": "math:Williams_FW15C", "predicate": "proves", "object": "the williams fw15c is a formula one car designed by adrian newey and built by williams grand prix en"}
{"subject": "math:Tychonoff_axiom", "predicate": "proves", "object": "in mathematics, a tychnoff axiom may be:\n the t3\u00bd axiom that defines tychonoff spaces; or\n any of th"}
{"subject": "math:Breather_surface", "predicate": "proves", "object": "in differential geometry, a breather surface is a one-parameter family of mathematical surfaces whic"}
{"subject": "math:Toru_Takahashi_(racing_driver)", "predicate": "proves", "object": "was a japanese race car driver.\n\ncareer \nin 1982, he was runner-up in japanese formula 3. the follow"}
{"subject": "math:Regular_map", "predicate": "proves", "object": "regular map may refer to:\n\n a regular map (algebraic geometry), in algebraic geometry, an everywhere"}
{"subject": "math:QE1", "predicate": "proves", "object": "qe1 may refer to:\n\n queen elizabeth i of england (1533\u20131603)\n rms queen elizabeth, cunard oceanliner"}
{"subject": "math:Anisohedral_tiling", "predicate": "proves", "object": "in geometry, a shape is said to be anisohedral if it admits a tiling, but no such tiling is isohedra"}
{"subject": "math:Ministry_of_Education_(Sri_Lanka)", "predicate": "proves", "object": "the ministry of education (; ) is a ministry of the government of sri lanka that directs the formula"}
{"subject": "math:Dorothy_Maharam", "predicate": "proves", "object": "dorothy maharam stone (july 1, 1917 \u2013 september 27, 2014)\nwas an american mathematician born in park"}
{"subject": "math:Arthur_Harold_Stone", "predicate": "proves", "object": "arthur harold stone (30 september 1916 \u2013 6 august 2000) was a british mathematician born in london, "}
{"subject": "math:O-Acetylserine", "predicate": "proves", "object": "o-acetylserine is an \u03b1-amino acid with the chemical formula ho2cch(nh2)ch2oc(o)ch3.  it is an interm"}
{"subject": "math:Cogo", "predicate": "proves", "object": "cogo may refer to:\n\ncogo, coordinate geometry software\ncogo, a bikeshare system in columbus, ohio\nco"}
{"subject": "math:Thomas_Anderson_(chemist)", "predicate": "proves", "object": "thomas anderson (2 july 1819 \u2013  2 november 1874) was a 19th-century scottish chemist. in 1853 his wo"}
{"subject": "math:Istv\u00e1n_F\u00e1ry", "predicate": "proves", "object": "istv\u00e1n f\u00e1ry (30 june 1922 \u2013 2 november 1984) was a hungarian-born mathematician known for his work i"}
{"subject": "math:List_of_price_index_formulas", "predicate": "proves", "object": "a number of different formulae, more than a hundred, have been proposed as means of calculating pric"}
{"subject": "math:David_Besnard", "predicate": "proves", "object": "david besnard, (born 21 january 1977 in sydney, australia) is a retired professional racing driver.\n"}
{"subject": "math:Steve_Owen_(racing_driver)", "predicate": "proves", "object": "steve owen (born 18 december 1974) is an australian racing driver, currently co-driving for team syd"}
{"subject": "math:Italian_school", "predicate": "proves", "object": "the italian school refers to several different italian schools of thought, including:\n\nitalian schoo"}
{"subject": "math:Vitali_convergence_theorem", "predicate": "proves", "object": "in real analysis and measure theory, the vitali convergence theorem, named after the italian mathema"}
{"subject": "math:Piceatannol", "predicate": "proves", "object": "piceatannol is the organic compound with the formula . classified as a stilbenoid and a phenol, it i"}
{"subject": "math:Derivator", "predicate": "proves", "object": "in mathematics, derivators are a proposed frameworkpg 190-195  for homological algebra giving a foun"}
{"subject": "math:Near-semiring", "predicate": "proves", "object": "in mathematics, a near-semiring, also called a seminearring, is an algebraic structure more general "}
{"subject": "math:Separable_algebra", "predicate": "proves", "object": "in mathematics, a separable algebra is a kind of semisimple algebra.  it is a generalization to asso"}
{"subject": "math:Kachurovskii's_theorem", "predicate": "proves", "object": "in mathematics, kachurovskii's theorem is a theorem relating the convexity of a function on a banach"}
{"subject": "math:K\u014dmura's_theorem", "predicate": "proves", "object": "in mathematics, k\u014dmura's theorem is a result on the differentiability of absolutely continuous banac"}
{"subject": "math:Moreau's_theorem", "predicate": "proves", "object": "in mathematics, moreau's theorem is a result in convex analysis named after french mathematician jea"}
{"subject": "math:The_Harvey_School", "predicate": "proves", "object": "the harvey school is a co-educational, college preparatory school near katonah, new york, for studen"}
{"subject": "math:Lotus_Grand_Prix_results", "predicate": "proves", "object": "the first table below details the complete world championship grand prix results of the formula one "}
{"subject": "math:Arnott_(automobile)", "predicate": "proves", "object": "the arnott was a car made by arnott\u2019s garages in harlesden, london, from 1951 to 1957. \n\nmiss daphne"}
{"subject": "math:Sodium_phenoxide", "predicate": "proves", "object": "sodium phenoxide (sodium phenolate) is an organic compound with the formula naoc6h5.  it is a white "}
{"subject": "math:FIA_Formula_3_European_Championship", "predicate": "proves", "object": "the fia formula 3 european championship was a european formula three (f3) auto racing competition, o"}
{"subject": "math:Berger_inequality", "predicate": "proves", "object": "in mathematics, berger inequality may refer to\n\n berger's inequality for einstein manifolds;\n the be"}
{"subject": "math:Bochner_identity", "predicate": "proves", "object": "in mathematics \u2014 specifically, differential geometry \u2014 the bochner identity is an identity concernin"}
{"subject": "math:Furstenberg's_proof_of_the_infinitude_of_primes", "predicate": "proves", "object": "in mathematics, particularly in number theory, hillel furstenberg's proof of the infinitude of prime"}
{"subject": "math:Garden_in_Transit", "predicate": "proves", "object": "garden in transit was a public art exhibit displayed on new york city taxicabs between september 200"}
{"subject": "math:Victor_Guillemin", "predicate": "proves", "object": "victor william guillemin (born 1937 in boston) is an american mathematician. he works at the massach"}
{"subject": "math:Cold-fX", "predicate": "proves", "object": "cold-fx is a product derived from the roots of north american ginseng (panax quinquefolius). it was "}
{"subject": "math:Cult_of_the_offensive", "predicate": "proves", "object": "the cult of the offensive refers to a strategic military dilemma in which leaders believe that offen"}
{"subject": "math:MUMPS_(software)", "predicate": "proves", "object": "mumps (multifrontal massively parallel sparse direct solver) is a software application for the solut"}
{"subject": "math:The_Marvelous_Effect", "predicate": "proves", "object": "the marvelous effect is a science fiction novel by troy cle first published in may 2007. it is the f"}
{"subject": "math:Sodium_perrhenate", "predicate": "proves", "object": "sodium perrhenate (also known as sodium rhenate(vii)) is the inorganic compound with the formula nar"}
{"subject": "math:Phillip_Scifleet", "predicate": "proves", "object": "phillip scifleet, born 4 may 1977, is an australian race driver. starting in karts in 1993 winning t"}
{"subject": "math:Bernard_Meadows", "predicate": "proves", "object": "bernard meadows (19 february 1915 - 12 january 2005) was a british modernist sculptor. meadows was h"}
{"subject": "math:Derek_Hill_(racing_driver)", "predicate": "proves", "object": "derek john hill (born march 28, 1975 in santa monica, california) is an american racing driver. he i"}
{"subject": "math:Lyndon\u2013Hochschild\u2013Serre_spectral_sequence", "predicate": "proves", "object": "in mathematics, especially in the fields of group cohomology, homological algebra and number theory,"}
{"subject": "math:There_Is_a_Mountain", "predicate": "proves", "object": "\"there is a mountain\" is a song written and performed by british singer-songwriter donovan in 1967.\n"}
{"subject": "math:Tutte\u2013Berge_formula", "predicate": "proves", "object": "in the mathematical discipline of graph theory the tutte\u2013berge formula is a characterization of the "}
{"subject": "math:Giacinto_Morera", "predicate": "proves", "object": "giacinto morera (18 july 1856 \u2013 8 february 1909), was an italian engineer and mathematician.  he is "}
{"subject": "math:Transparent_Things_(novel)", "predicate": "proves", "object": "transparent things is a novel by vladimir nabokov published in 1972. it was originally written in en"}
{"subject": "math:Plane_wave_expansion_method", "predicate": "proves", "object": "plane wave expansion method (pwe) refers to a computational technique in electromagnetics to solve t"}
{"subject": "math:Krivine\u2013Stengle_Positivstellensatz", "predicate": "proves", "object": "in real algebraic geometry, krivine\u2013stengle  (german for \"positive-locus-theorem\") characterizes pol"}
{"subject": "math:Proof_banknote", "predicate": "proves", "object": "a proof banknote is one that is printed to test the printing plates to see if it is suitable or not "}
{"subject": "math:McLaren_M30", "predicate": "proves", "object": "the mclaren m30 is a formula one racing car built and run by mclaren for part of the 1980 formula on"}
{"subject": "math:Cyanate_ester", "predicate": "proves", "object": "cyanate esters are chemical compounds in which the hydrogen atom of the cyanic acid is replaced by a"}
{"subject": "math:Porsche_3512", "predicate": "proves", "object": "the porsche 3512 was a motor racing engine designed by porsche for use in formula one in the early 1"}
{"subject": "math:Gary_Hubler", "predicate": "proves", "object": "gary hubler (june 14, 1955 \u2013 september 14, 2007) was a crop duster and commercial transport pilot wi"}
{"subject": "math:Hawthorn_Memorial_Trophy", "predicate": "proves", "object": "the hawthorn memorial trophy is an annual award honouring the achievements of a british or commonwea"}
{"subject": "math:Boxtop", "predicate": "proves", "object": "a boxtop, in the context of being a proof of purchase, is understood to be the upper portion of a pr"}
{"subject": "math:Dimethylzinc", "predicate": "proves", "object": "dimethylzinc, also known as zinc methyl, dmz, or dmzn, is an organozinc compound with the chemical f"}
{"subject": "math:Footwork_FA12", "predicate": "proves", "object": "the footwork fa12 was a formula one car designed and built by the footwork arrows team for the 1991 "}
{"subject": "math:Initial_value_formulation_(general_relativity)", "predicate": "proves", "object": "the initial value formulation of general relativity is a reformulation of albert einstein's theory o"}
{"subject": "math:Formula_Pacific", "predicate": "proves", "object": "formula pacific was a motor racing category which was used in the pacific basin area from 1977 to 19"}
{"subject": "math:Azatadine/pseudoephedrine", "predicate": "proves", "object": "azatadine/pseudoephedrine (trinalin) is an antihistamine and decongestant formulation.  it is a comb"}
{"subject": "math:Wu's_method_of_characteristic_set", "predicate": "proves", "object": "wenjun wu's method is an algorithm for solving multivariate polynomial equations introduced in the l"}
{"subject": "math:List_of_motorsport_championships", "predicate": "proves", "object": "this list of motorsport championships is a list of national and international motorsport championshi"}
{"subject": "math:Allen's_Coffee_Brandy", "predicate": "proves", "object": "allen's coffee brandy is a coffee-flavoured liqueur popular in new england, especially maine. allen'"}
{"subject": "math:Souders\u2013Brown_equation", "predicate": "proves", "object": "the souders\u2013brown equation (named after mott souders and george granger brown) has been a tool for o"}
{"subject": "math:Harald_Schlegelmilch", "predicate": "proves", "object": "haralds \u0161l\u0113gelmilhs, known internationally as harald schlegelmilch (born december 6, 1987) is a latv"}
{"subject": "math:Bicentric_polygon", "predicate": "proves", "object": "in geometry, a bicentric polygon is a tangential polygon (a polygon all of whose sides are tangent t"}
{"subject": "math:Feynman_checkerboard", "predicate": "proves", "object": "the feynman checkerboard, or relativistic chessboard  model, was richard feynman\u2019s sum-over-paths fo"}
{"subject": "math:Potassium_bisulfite", "predicate": "proves", "object": "potassium bisulfite (or potassium hydrogen sulfite) is a chemical mixture with the approximate chemi"}
{"subject": "math:Transversal_(geometry)", "predicate": "proves", "object": "in geometry, a transversal is a line  that passes through two lines in the same plane at two distinc"}
{"subject": "math:100_Proof_(Aged_in_Soul)", "predicate": "proves", "object": "100 proof (aged in soul) was an american funk/soul group, who formed in detroit, michigan, in 1969. "}
{"subject": "math:100_Proof_(film)", "predicate": "proves", "object": "100 proof is a 1997 independently produced american thriller film written and directed by jeremy hor"}
{"subject": "math:Whipple_formulae", "predicate": "proves", "object": "in the theory of special functions, whipple's transformation for legendre functions, named after fra"}
{"subject": "math:Patch_test_(finite_elements)", "predicate": "proves", "object": "the patch test in the finite element method is a simple indicator of the quality of a finite element"}
{"subject": "math:Methyl_cyanoformate", "predicate": "proves", "object": "methyl cyanoformate is the organic compound with the formula ch3oc(o)cn.  it is used as a reagent in"}
{"subject": "math:Potassium_chlorochromate", "predicate": "proves", "object": "potassium chlorochromate is an inorganic compound with the formula kcro3cl.  it is the potassium sal"}
{"subject": "math:Malaoxon", "predicate": "proves", "object": "malaoxon (liromat, malation oxon, malthon oxon) is a chemical compound with the formula c10h19o7ps. "}
{"subject": "math:Fundamentals_of_Physics", "predicate": "proves", "object": "fundamentals of physics is a calculus-based physics textbook by david halliday, robert resnick, and "}
{"subject": "math:Postmodern_social_construction_of_nature", "predicate": "proves", "object": "the postmodern social construction of nature is a theorem or speculation of postmodernist continenta"}
{"subject": "math:Movement_for_Democratic_Change_\u2013_Tsvangirai_Congre", "predicate": "proves", "object": "the second movement for democratic change \u2013 tsvangirai congress was held in harare on 18 march 2006."}
{"subject": "math:Pentagonal_bipyramidal_molecular_geometry", "predicate": "proves", "object": "in chemistry, a pentagonal bipyramid is a molecular geometry with one atom at the centre with seven "}
{"subject": "math:The_Formula_(song)", "predicate": "proves", "object": "\"the formula\" is a song by american rapper the d.o.c. from his 1989 debut album no one can do it bet"}
{"subject": "math:KK-theory", "predicate": "proves", "object": "in mathematics, kk-theory is a common generalization both of k-homology and k-theory as an additive "}
{"subject": "math:Operator_K-theory", "predicate": "proves", "object": "in mathematics, operator k-theory is a noncommutative analogue of topological k-theory for banach al"}
{"subject": "math:Jean_Baptiste_Meusnier", "predicate": "proves", "object": "jean baptiste marie charles meusnier de la place (tours, 19 june 1754 \u2014 le pont de cassel, near main"}
{"subject": "math:Billbergia_pyramidalis", "predicate": "proves", "object": "billbergia pyramidalis, commonly known as the flaming torch and foolproof plant, is a species of bro"}
{"subject": "math:Ozsv\u00e1th\u2013Sch\u00fccking_metric", "predicate": "proves", "object": "the ozsv\u00e1th\u2013sch\u00fccking metric, or the ozsv\u00e1th\u2013sch\u00fccking solution, is a vacuum solution of the einstei"}
{"subject": "math:WCPA_High_Seas_Task_Force", "predicate": "proves", "object": "the world commission on protected areas (wcpa)'s high seas task force spans decades. it was official"}
{"subject": "math:Relative_neighborhood_graph", "predicate": "proves", "object": "in computational geometry, the relative neighborhood graph (rng) is an undirected graph defined on a"}
{"subject": "math:Nonstandard_(disambiguation)", "predicate": "proves", "object": "nonstandard describes a state not conforming to standards.\n\nnonstandard or non-standard may also ref"}
{"subject": "math:Threitol", "predicate": "proves", "object": "threitol is the chiral four-carbon sugar alcohol with the molecular formula c4h10o4.  it is primaril"}
{"subject": "math:Chicago_school_(mathematical_analysis)", "predicate": "proves", "object": "the chicago school of mathematical analysis is a school of thought in mathematics that emphasizes th"}
{"subject": "math:Semialgebraic_set", "predicate": "proves", "object": "in mathematics, a basic semialgebraic set is a set defined by polynomial equalities and polynomial i"}
{"subject": "math:Topology_(musical_ensemble)", "predicate": "proves", "object": "topology is an indie classical quintet from australia, formed in 1997 and they eading australian new"}
{"subject": "math:Hydroxyl_aluminium_bis(2-ethylhexanoate)", "predicate": "proves", "object": "hydroxyl aluminium bis(2-ethylhexanoate) is a chemical substance derived from 2-ethylhexanoic acid a"}
{"subject": "math:1983_Australian_Grand_Prix", "predicate": "proves", "object": "the 1983 australian grand prix was a race for australian formula 1 cars held at calder park raceway "}
{"subject": "math:Unparticle_physics", "predicate": "proves", "object": "in theoretical physics, unparticle physics is a speculative theory that conjectures a form of matter"}
{"subject": "math:Augelite", "predicate": "proves", "object": "augelite is an aluminium phosphate mineral with formula: al2(po4)(oh)3. the shade varies from colorl"}
{"subject": "math:Robbins_lemma", "predicate": "proves", "object": "in statistics, the robbins lemma, named after herbert robbins, states that if x is a random variable"}
{"subject": "math:Schilder's_theorem", "predicate": "proves", "object": "in mathematics, schilder's theorem is a generalization of the laplace method from integrals on  to f"}
{"subject": "math:Freidlin\u2013Wentzell_theorem", "predicate": "proves", "object": "in mathematics, the freidlin\u2013wentzell theorem (due to mark freidlin and alexander d. wentzell) is a "}
{"subject": "math:Sodium_methylparaben", "predicate": "proves", "object": "sodium methylparaben (sodium methyl para-hydroxybenzoate) is a compound with formula na(ch3(c6h4coo)"}
{"subject": "math:2-Ethylhexanoic_acid", "predicate": "proves", "object": "2-ethylhexanoic acid is the organic compound with the formula ch3(ch2)3ch(c2h5)co2h.  it is a carbox"}
{"subject": "math:Werner_Kuhn_(chemist)", "predicate": "proves", "object": "werner kuhn (february 6, 1899 \u2013 august 27, 1963) was a swiss physical chemist who developed the firs"}
{"subject": "math:1-Aminopropan-2-ol", "predicate": "proves", "object": "1-aminopropan-2-ol is the organic compound with the formula .  it is an amino alcohol. the term isop"}
{"subject": "math:Dawson\u2013G\u00e4rtner_theorem", "predicate": "proves", "object": "in mathematics, the dawson\u2013g\u00e4rtner theorem is a result in large deviations theory.  heuristically sp"}
{"subject": "math:Varadhan's_lemma", "predicate": "proves", "object": "in mathematics, varadhan's lemma is a result from the large deviations theory named after s. r. srin"}
{"subject": "math:Badmeaningood_Vol.2", "predicate": "proves", "object": "badmeaningood vol.2 is a compilation of tracks chosen by alternative hip hop artist, roots manuva. t"}
{"subject": "math:French_Formula_Three_Championship", "predicate": "proves", "object": "the french formula three championship was a motor racing series for formula three cars held in franc"}
{"subject": "math:Tadeusz_Rybczynski", "predicate": "proves", "object": "tadeusz mieczys\u0142aw rybczy\u0144ski (also rybczynski; 1923\u20131998) was a polish-english economist who is kno"}
{"subject": "math:Sport_in_Chennai", "predicate": "proves", "object": "cricket is the most popular sport in chennai. the m. a. chidambaram stadium is one of the oldest cri"}
{"subject": "math:Eaton_Stannard_Barrett", "predicate": "proves", "object": "eaton stannard barrett (1786 \u2013 20 march 1820) was an irish poet and author of political satires. he "}
{"subject": "math:Smith\u2013Minkowski\u2013Siegel_mass_formula", "predicate": "proves", "object": "in mathematics, the smith\u2013minkowski\u2013siegel mass formula (or minkowski\u2013siegel mass formula) is a form"}
{"subject": "math:South_Korean_passport", "predicate": "proves", "object": "the republic of korea passport (), commonly referred to as the south korean passport, is issued to a"}
{"subject": "math:Karl_Albert_Hasselbalch", "predicate": "proves", "object": "karl albert hasselbalch (; 1 november 1874 \u2013 19 september 1962) was a danish physician and chemist k"}
{"subject": "math:ISIPCA", "predicate": "proves", "object": "isipca (institut sup\u00e9rieur international du parfum, de la cosm\u00e9tique et de l'aromatique alimentaire)"}
{"subject": "math:Jorge_Stolfi", "predicate": "proves", "object": "jorge stolfi (born 1950 in s\u00e3o paulo) is a full professor of computer science at the state universit"}
{"subject": "math:1948_Grand_Prix_season", "predicate": "proves", "object": "the 1948 grand prix season was the third post-war year for grand prix racing. it was the second seas"}
{"subject": "math:1949_Grand_Prix_season", "predicate": "proves", "object": "the 1949 grand prix season was the fourth post-war year for grand prix racing and the final year bef"}
{"subject": "math:Smooth_coarea_formula", "predicate": "proves", "object": "in riemannian geometry, the smooth coarea formulas relate integrals over the domain of certain mappi"}
{"subject": "math:Cooper_T51", "predicate": "proves", "object": "the cooper t51 was a formula one and formula two racing car designed by owen maddock and built by th"}
{"subject": "math:Cube-connected_cycles", "predicate": "proves", "object": "in graph theory, the cube-connected cycles is an undirected cubic graph, formed by replacing each ve"}
{"subject": "math:Fenoxazoline", "predicate": "proves", "object": "fenoxazoline (trade name aturgyl in brazil) is a nasal decongestant.\n\nfenmetozole has the precise sa"}
{"subject": "math:1982_Australian_Grand_Prix", "predicate": "proves", "object": "the 1982 australian grand prix was a motor race held at the melbourne international raceway,  former"}
{"subject": "math:1981_Australian_Grand_Prix", "predicate": "proves", "object": "the 1981 australian grand prix was a formula pacific motor race held at calder park raceway in victo"}
{"subject": "math:Bessel's_correction", "predicate": "proves", "object": "in statistics, bessel's correction is the use of n\u00a0\u2212\u00a01 instead of n in the formula for the sample va"}
{"subject": "math:1980_Australian_Grand_Prix", "predicate": "proves", "object": "the 1980 australian grand prix was a motor race held at calder park raceway in victoria, australia o"}
{"subject": "math:Ferrari_F1/86", "predicate": "proves", "object": "the ferrari f1/86 was the car with which scuderia ferrari competed in the 1986 formula one world cha"}
{"subject": "math:The_Burglar's_Dilemma", "predicate": "proves", "object": "the burglar's dilemma is a 1912 american drama film directed by  d. w. griffith. a print of the film"}
{"subject": "math:George_Ryton", "predicate": "proves", "object": "george harold ryton (born 15 august 1948 in singapore) is a british engineer best known for his invo"}
{"subject": "math:Gilbert_de_Angulo", "predicate": "proves", "object": "gilbert de angulo was an anglo-norman knight, .\nproof of his very high standing in the early years o"}
{"subject": "math:Tennenbaum's_theorem", "predicate": "proves", "object": "tennenbaum's theorem, named for stanley tennenbaum who presented the theorem in 1959, is a result in"}
{"subject": "math:Durango_(racing_team)", "predicate": "proves", "object": "durango automotive srl was an italian auto racing team founded in 1980 by ivone pinton and enrico ma"}
{"subject": "math:Albrecht_Beutelspacher", "predicate": "proves", "object": "albrecht beutelspacher (born 5 june 1950) is a german mathematician and founder of the mathematikum."}
{"subject": "math:M\u00f6bius\u2013Kantor_configuration", "predicate": "proves", "object": "in geometry, the m\u00f6bius\u2013kantor configuration is a configuration consisting of eight points and eight"}
{"subject": "math:Institutiones_calculi_integralis", "predicate": "proves", "object": "institutiones calculi integralis (foundations of integral calculus) is a three-volume textbook writt"}
{"subject": "math:Sullivan_conjecture", "predicate": "proves", "object": "in mathematics, sullivan conjecture or sullivan's conjecture on maps from classifying spaces can ref"}
{"subject": "math:Copper(I)_fluoride", "predicate": "proves", "object": "copper(i) fluoride or cuprous fluoride is an inorganic compound with the chemical formula cuf. its e"}
{"subject": "math:Ferrari_156/85", "predicate": "proves", "object": "the ferrari 156/85 was a formula one car designed by mauro forghieri and harvey postlethwaite for us"}
{"subject": "math:Andrzej_Ehrenfeucht", "predicate": "proves", "object": "andrzej ehrenfeucht (, born 8 august 1932) is a polish-american mathematician and computer scientist"}
{"subject": "math:Sodium_ferrocyanide", "predicate": "proves", "object": "sodium ferrocyanide is the sodium salt of the coordination compound of formula [fe(cn)6]4\u2212. in its h"}
{"subject": "math:Winzapper", "predicate": "proves", "object": "winzapper is a freeware utility / hacking tool used to delete events from the microsoft windows nt 4"}
{"subject": "math:Mathematics_and_fiber_arts", "predicate": "proves", "object": "ideas from mathematics have been used as inspiration for fiber arts including quilt making, knitting"}
{"subject": "math:Caesium_dodecaborate", "predicate": "proves", "object": "caesium dodecaborate is an inorganic compound with the formula cs2b12h12. it is a salt composed of c"}
{"subject": "math:Regular_matroid", "predicate": "proves", "object": "in mathematics, a regular matroid is a matroid that can be represented over all fields.\n\ndefinition\n"}
{"subject": "math:RAF_Honiley", "predicate": "proves", "object": "royal air force honiley or raf honiley is a former royal air force station located in wroxall, warwi"}
{"subject": "math:Extended_Window_Manager_Hints", "predicate": "proves", "object": "extended window manager hints, a.k.a. netwm, is an x window system standard for the communication be"}
{"subject": "math:Piers_Bohl", "predicate": "proves", "object": "piers bohl (23 october 1865 \u2013 25 december 1921) was a latvian mathematician, who worked in different"}
{"subject": "math:Hans-Georg_B\u00fcrger", "predicate": "proves", "object": "hans-georg b\u00fcrger (1 april 1952 \u2013 22 july 1980) was a racing driver from west germany. he was fatall"}
{"subject": "math:Disodium_octaborate", "predicate": "proves", "object": "disodium octaborate is a borate of sodium, a chemical compound of sodium, boron, and oxygen \u2014 a salt"}
{"subject": "math:Henry_Surtees", "predicate": "proves", "object": "henry john surtees (18 february 1991 \u2013 19 july 2009) was a british racing driver and the son of john"}
{"subject": "math:Aston_Martin_DBR4", "predicate": "proves", "object": "the aston martin dbr4/250, commonly referred to simply as the dbr4, is a formula one racing car, des"}
{"subject": "math:Italian_Formula_Three_Championship", "predicate": "proves", "object": "the italian formula three championship was the formula three racing competition in italy.\n\nhistory\nf"}
{"subject": "math:The_Sheriff's_Dilemma", "predicate": "proves", "object": "the sheriff's dilemma is a 1915 american short silent western film featuring harry carey.\n\ncast\n har"}
{"subject": "math:Ferrari_643", "predicate": "proves", "object": "the ferrari 643 was a formula one car designed by steve nichols and jean-claude migeot and was built"}
{"subject": "math:Hereditary_C*-subalgebra", "predicate": "proves", "object": "in mathematics, a hereditary c*-subalgebra of a c*-algebra is a particular type of c*-subalgebra who"}
{"subject": "math:Magic_formula_(Swiss_politics)", "predicate": "proves", "object": "in swiss politics, the magic formula (, , , ) is an arithmetic formula for dividing the seven execut"}
{"subject": "math:Bose_Corp._v._Consumers_Union_of_United_States,_In", "predicate": "proves", "object": "bose corp. v. consumers union of united states, inc., 466 u.s. 485 (1984), was a product disparageme"}
{"subject": "math:God's_Equation", "predicate": "proves", "object": "god's equation is the fourth album by the norwegian progressive metal band pagan's mind. it was rele"}
{"subject": "math:List_of_Runge\u2013Kutta_methods", "predicate": "proves", "object": "runge\u2013kutta methods are methods for the numerical solution of the ordinary differential equation\n\nex"}
{"subject": "math:Prover9", "predicate": "proves", "object": "prover9 is an automated theorem prover for first-order and equational logic developed by william mcc"}
{"subject": "math:Juan_Rizi", "predicate": "proves", "object": "friar juan andr\u00e9s ricci de guevara, known as friar juan rizi (1600, madrid - 29 november 1681, monte"}
{"subject": "math:Lotus_16", "predicate": "proves", "object": "the lotus 16 was the second single-seat racing car designed by colin chapman, and was built by his l"}
{"subject": "math:Poder_Popular_(Chile)", "predicate": "proves", "object": "poder popular (english popular or people power) is a form of workers or direct democracy. in chilean"}
{"subject": "math:Contraction_principle_(large_deviations_theory)", "predicate": "proves", "object": "in mathematics \u2014 specifically, in large deviations theory \u2014 the contraction principle is a theorem t"}
{"subject": "math:Contraction_principle", "predicate": "proves", "object": "in mathematics, contraction principle may refer to:\n\n contraction principle (large deviations theory"}
{"subject": "math:Richardson's_theorem", "predicate": "proves", "object": "in mathematics, richardson's theorem establishes the undecidability of the equality of real numbers "}
{"subject": "math:Map_of_lattices", "predicate": "proves", "object": "the concept of a lattice arises in order theory, a branch of mathematics. the hasse diagram below de"}
{"subject": "math:Cost_of_goods_available_for_sale", "predicate": "proves", "object": "cost of goods available for sale is the maximum amount of goods, or inventory, that a company can po"}
{"subject": "math:Owen_Kelly", "predicate": "proves", "object": "owen kelly (born 12 march 1977) is an australian professional racing driver. son of chas kelly, he h"}
{"subject": "math:Generalized_forces", "predicate": "proves", "object": "in analytical mechanics (particularly lagrangian mechanics), generalized forces are conjugate to gen"}
{"subject": "math:Formula_V6_Asia", "predicate": "proves", "object": "formula asia v6 renault, renamed formula v6 asia in 2007 by motorsport asia, was launched in 2006 an"}
{"subject": "math:Tilted_large_deviation_principle", "predicate": "proves", "object": "in mathematics \u2014 specifically, in large deviations theory \u2014 the tilted large deviation principle is "}
{"subject": "math:Ausper", "predicate": "proves", "object": "the ausper is a racing car that was made in the united kingdom from 1960 to 1962 by competition cars"}
{"subject": "math:Kashmakash_(album)", "predicate": "proves", "object": "kashmakash (, literal english translation: \"dilemma\") is the first compilation album and third overa"}
{"subject": "math:The_Mathematical_Experience", "predicate": "proves", "object": "the mathematical experience (1981) is a book by philip j. davis and reuben hersh that discusses the "}
{"subject": "math:Stein\u2013Str\u00f6mberg_theorem", "predicate": "proves", "object": "in mathematics, the stein\u2013str\u00f6mberg theorem or stein\u2013str\u00f6mberg inequality is a result in measure the"}
{"subject": "math:BMW_Sauber_F1.08", "predicate": "proves", "object": "the bmw sauber f1.08 was the formula one racing car with which the bmw sauber team competed in the 2"}
{"subject": "math:BRM_P261", "predicate": "proves", "object": "the brm p261, also known as the brm p61 mark ii, is a formula one motor racing car, designed and bui"}
{"subject": "math:Bhaskara's_lemma", "predicate": "proves", "object": "bhaskara's lemma is an identity used as a lemma during the chakravala method. it states that:\n \nfor "}
{"subject": "math:Horosphere", "predicate": "proves", "object": "in hyperbolic geometry, a horosphere (or parasphere) is a specific hypersurface in hyperbolic n-spac"}
{"subject": "math:Harry_MacDonald_(racing_driver)", "predicate": "proves", "object": "harry macdonald (born september 27, 1940) is a retired canadian racing driver. he raced in the uk fo"}
{"subject": "math:Manganese(III)_acetate", "predicate": "proves", "object": "manganese(iii) acetate describes a family of materials with the approximate formula mn(o2cch3)3.  th"}
{"subject": "math:Scruples_(game)", "predicate": "proves", "object": "a question of scruples is a card game based on ethical dilemmas. the game was invented by henry mako"}
{"subject": "math:Rifkat_Bogdanov", "predicate": "proves", "object": "rifkat ibragimovich bogdanov (; june 13, 1950 \u2013 november 3, 2013) was a soviet and russian mathemati"}
{"subject": "math:Category_algebra", "predicate": "proves", "object": "in category theory, a field of mathematics, a category algebra is an associative algebra, defined fo"}
{"subject": "math:Chris_Hall_(cryptographer)", "predicate": "proves", "object": "christopher hall is an american cryptographer and mathematician, specializing in arithmetic geometry"}
{"subject": "math:\u00c9tienne_Serres", "predicate": "proves", "object": "antoine \u00e9tienne renaud augustin serres (12 september 1786, clairac \u2013 22 january 1868, paris) was a f"}
{"subject": "math:Babu\u0161ka\u2013Lax\u2013Milgram_theorem", "predicate": "proves", "object": "in mathematics, the babu\u0161ka\u2013lax\u2013milgram theorem is a generalization of the famous lax\u2013milgram theore"}
{"subject": "math:Ivo_Babu\u0161ka", "predicate": "proves", "object": "ivo m. babu\u0161ka (22 march 1926 \u2013 12 april 2023) was a czech-american mathematician, noted for his stu"}
{"subject": "math:Hill_GH1", "predicate": "proves", "object": "the hill gh1 was a formula one car used by embassy hill during the 1975 formula one season. it was d"}
{"subject": "math:Analytic_semigroup", "predicate": "proves", "object": "in mathematics, an analytic semigroup is particular kind of strongly continuous semigroup.  analytic"}
{"subject": "math:Planarity", "predicate": "proves", "object": "planarity is a 2005 puzzle computer game by john tantalo, based on a concept by mary radcliffe at we"}
{"subject": "math:Cram\u00e9r's_decomposition_theorem", "predicate": "proves", "object": "cram\u00e9r\u2019s decomposition theorem for a normal distribution is a result of probability theory. it is we"}
{"subject": "math:1964_Australian_Drivers'_Championship", "predicate": "proves", "object": "the 1964 australian drivers' championship was open to drivers of racing cars complying with either t"}
{"subject": "math:Sodium_selenate", "predicate": "proves", "object": "sodium selenate is the inorganic compound with the formula , not to be confused with sodium selenite"}
{"subject": "math:Majorite", "predicate": "proves", "object": "majorite is a type of garnet mineral found in the mantle of the earth. its chemical formula is mg3(m"}
{"subject": "math:Baire_measure", "predicate": "proves", "object": "in mathematics, a baire measure is a measure on the \u03c3-algebra of baire sets of a topological space w"}
{"subject": "math:Shilov_boundary", "predicate": "proves", "object": "in functional analysis, a branch of mathematics, the shilov boundary is the smallest   closed subset"}
{"subject": "math:Bullet_Proof_(1920_film)", "predicate": "proves", "object": "bullet proof is a 1920 american silent western film directed by lynn reynolds and starring harry car"}
{"subject": "math:Amount_realized", "predicate": "proves", "object": "amount realized, in us federal income tax law, is defined by section 1001(b) of internal revenue cod"}
{"subject": "math:Fermat's_Last_Theorem_in_fiction", "predicate": "proves", "object": "the problem in number theory known as \"fermat's last theorem\" has repeatedly received attention in f"}
{"subject": "math:Benzyl_cyanide", "predicate": "proves", "object": "benzyl cyanide (abbreviated bncn) is an organic compound with the chemical formula c6h5ch2cn. this c"}
{"subject": "math:Elon_Lages_Lima", "predicate": "proves", "object": "elon lages lima (july 9, 1929 \u2013 may 7, 2017) was a brazilian mathematician whose research concerned "}
{"subject": "math:Ammonium_bisulfate", "predicate": "proves", "object": "ammonium bisulfate, also known as ammonium hydrogen sulfate, is a white, crystalline solid with the "}
{"subject": "math:Semantic_reasoner", "predicate": "proves", "object": "a semantic reasoner, reasoning engine, rules engine, or simply a reasoner, is a piece of software ab"}
{"subject": "math:Intersection_theory_(disambiguation)", "predicate": "proves", "object": "intersection theory may refer to:\n\n intersection theory, especially in algebraic geometry\n intersect"}
{"subject": "math:Multiplier_algebra", "predicate": "proves", "object": "in mathematics, the multiplier algebra, denoted by m(a), of a c*-algebra a is a unital c*-algebra th"}
{"subject": "math:Milepost_equation", "predicate": "proves", "object": "a milepost equation, milepoint equation, or postmile equation is a place where mileposts on a linear"}
{"subject": "math:Orthogonal_Procrustes_problem", "predicate": "proves", "object": "the orthogonal procrustes problem is a matrix approximation problem in linear algebra.  in its class"}
{"subject": "math:Max_Volmer", "predicate": "proves", "object": "max volmer (; 3 may 1885 \u2013 3 june 1965) was a german physical chemist, who made important contributi"}
{"subject": "math:Silver_hexafluorophosphate", "predicate": "proves", "object": "silver hexafluorophosphate, sometimes referred to \"silver pf-6,\" is an inorganic compound with the c"}
{"subject": "math:Silver_tetrafluoroborate", "predicate": "proves", "object": "silver tetrafluoroborate is an inorganic compound with the chemical formula agbf4. it is a white sol"}
{"subject": "math:Hereditary_property", "predicate": "proves", "object": "in mathematics, a hereditary property is a property of an object that is inherited by all of its sub"}
{"subject": "math:Perpendicular_distance", "predicate": "proves", "object": "in geometry, the perpendicular distance between two objects is the distance from one to the other, m"}
{"subject": "math:Ministry_of_National_Defense_(Chile)", "predicate": "proves", "object": "the ministry of national defense () is the cabinet-level administrative office in charge of \"maintai"}
{"subject": "math:Rogelio_Salmona", "predicate": "proves", "object": "rogelio salmona (april 28, 1927 \u2013 october 3, 2007) was a french colombian architect. he was noted fo"}
{"subject": "math:Mygale", "predicate": "proves", "object": "mygale racing car constructor (mygale sarl) is a french racing car manufacturer that specialises in "}
{"subject": "math:Methanediol", "predicate": "proves", "object": "methanediol, also known as formaldehyde monohydrate or methylene glycol, is an organic compound with"}
{"subject": "math:Hywel_Lloyd", "predicate": "proves", "object": "hywel lloyd (born 14 march 1985 in corwen, wales) is a racing driver, currently driving in the briti"}
{"subject": "math:Monoethanolamine_oleate", "predicate": "proves", "object": "monoethanolamine oleate (ethanolammonium oleate) is an organic compound with the formula [ch3(ch2)7c"}
{"subject": "math:Eigendecomposition_of_a_matrix", "predicate": "proves", "object": "in linear algebra, eigendecomposition is the factorization of a matrix into a canonical form, whereb"}
{"subject": "math:JLO_cocycle", "predicate": "proves", "object": "in noncommutative geometry, the jlo cocycle is a cocycle (and thus defines a cohomology class) in en"}
{"subject": "math:Cameron\u2013Erd\u0151s_conjecture", "predicate": "proves", "object": "in combinatorics, the cameron\u2013erd\u0151s conjecture (now a theorem) is the statement that the number of s"}
{"subject": "math:Dexibuprofen", "predicate": "proves", "object": "dexibuprofen is a nonsteroidal anti-inflammatory drug (nsaid). it is the active dextrorotatory enant"}
{"subject": "math:Benoxaprofen", "predicate": "proves", "object": "benoxaprofen, also known as benoxaphen, is a chemical compound with the formula c16h12clno3.  it is "}
{"subject": "math:Lornoxicam", "predicate": "proves", "object": "lornoxicam, also known as chlortenoxicam, is a nonsteroidal anti-inflammatory drug (nsaid) of the ox"}
{"subject": "math:Sodium_aurothiosulfate", "predicate": "proves", "object": "sodium aurothiosulfate, or sanocrysin, is the inorganic compound with the formula . this salt contai"}
{"subject": "math:Japanese_Formula_3_Championship", "predicate": "proves", "object": "was a national motor racing championship that takes place in japan. it is a junior-level feeder form"}
{"subject": "math:List_of_Formula_One_driver_records", "predicate": "proves", "object": "the world championship of drivers has been held since . driver records listed here include all round"}
{"subject": "math:Silver_Lake_(Oregon)", "predicate": "proves", "object": "silver lake is an intermittent high-desert lake in lake county, oregon, united states. it is  east o"}
{"subject": "math:2008_Malaysian_Grand_Prix", "predicate": "proves", "object": "the 2008 malaysian grand prix (formally the 2008 formula 1 petronas malaysian grand prix) was a form"}
{"subject": "math:Futureproof", "predicate": "proves", "object": "futureproof may refer to:\n\nfuture proof, the process of anticipating future developments and events "}
{"subject": "math:Waring's_prime_number_conjecture", "predicate": "proves", "object": "in number theory, waring's prime number conjecture is a conjecture related to vinogradov's theorem, "}
{"subject": "math:Cauchy\u2013Hadamard_theorem", "predicate": "proves", "object": "in mathematics, the cauchy\u2013hadamard theorem is a result in complex analysis named after the french m"}
{"subject": "math:Bryant_surface", "predicate": "proves", "object": "in riemannian geometry, a bryant surface is a 2-dimensional surface embedded in 3-dimensional hyperb"}
{"subject": "math:Churchill\u2013Bernstein_equation", "predicate": "proves", "object": "in convective heat transfer, the churchill\u2013bernstein equation is used to estimate the surface averag"}
{"subject": "math:Burst_mode_clock_and_data_recovery", "predicate": "proves", "object": "the passive optical network (pon) uses tree-like network topology. due to the topology of pon, the t"}
{"subject": "math:Schr\u00f6dinger_field", "predicate": "proves", "object": "in quantum mechanics and quantum field theory, a schr\u00f6dinger field, named after erwin schr\u00f6dinger, i"}
{"subject": "math:Lema\u00eetre_coordinates", "predicate": "proves", "object": "lema\u00eetre coordinates are a particular set of coordinates for the schwarzschild metric\u2014a spherically "}
{"subject": "math:Geodesic_map", "predicate": "proves", "object": "in mathematics\u2014specifically, in differential geometry\u2014a geodesic map (or geodesic mapping or geodesi"}
{"subject": "math:Beltrami's_theorem", "predicate": "proves", "object": "in the mathematical field of differential geometry, any (pseudo-)riemannian metric determines a cert"}
{"subject": "math:Armoured_bus", "predicate": "proves", "object": "an armoured bus or armored bus is a type of bus which provides increased protection for passengers, "}
{"subject": "math:Tetrachloro-m-xylene", "predicate": "proves", "object": "tetrachloro-m-xylene (tetrachlorometaxylene, or tcmx) is the organochlorine compound with the formul"}
{"subject": "math:Michel_Kervaire", "predicate": "proves", "object": "michel andr\u00e9 kervaire (26 april 1927 \u2013 19 november 2007) was a french mathematician who made signifi"}
{"subject": "math:Malliavin's_absolute_continuity_lemma", "predicate": "proves", "object": "in mathematics \u2014 specifically, in measure theory \u2014 malliavin's absolute continuity lemma is a result"}
{"subject": "math:Beija_Cacha\u00e7a", "predicate": "proves", "object": "beija cacha\u00e7a is a brazilian cacha\u00e7a, imported exclusively by beija corp, and produced in their faci"}
{"subject": "math:Kinetic_proofreading", "predicate": "proves", "object": "kinetic proofreading (or kinetic amplification) is a mechanism for error correction in biochemical r"}
{"subject": "math:Integration_by_parts_operator", "predicate": "proves", "object": "in mathematics, an integration by parts operator is a linear operator used to formulate integration "}
{"subject": "math:Nash_functions", "predicate": "proves", "object": "in real algebraic geometry, a nash function on an open semialgebraic subset u \u2282 rn is an analytic fu"}
{"subject": "math:Sonnet_117", "predicate": "proves", "object": "shakespeare's sonnet 117 was first published in 1609. it uses similar imagery to sonnet 116 and expa"}
{"subject": "math:L\u00f3pezite", "predicate": "proves", "object": "l\u00f3pezite is a rare red chromate mineral with chemical formula: k2cr2o7. it crystallizes in the tricl"}
{"subject": "math:H\u00f6rmander's_condition", "predicate": "proves", "object": "in mathematics, h\u00f6rmander's condition is a property of vector fields that, if satisfied, has many us"}
{"subject": "math:N-Nitrosodimethylamine", "predicate": "proves", "object": "n-nitrosodimethylamine (ndma), also known as dimethylnitrosamine (dmn), is an organic compound with "}
{"subject": "math:Potassium_pyrosulfate", "predicate": "proves", "object": "potassium pyrosulfate, or potassium disulfate, is an inorganic compound with the chemical formula k2"}
{"subject": "math:Brian_Bowditch", "predicate": "proves", "object": "brian hayward bowditch (born 1961) is a british mathematician known for his contributions to geometr"}
{"subject": "math:Node_(autonomous_system)", "predicate": "proves", "object": "the behaviour of a linear autonomous system around a critical point is a node if the following condi"}
{"subject": "math:1965_Tasman_Series", "predicate": "proves", "object": "the 1965 tasman series was a motor racing competition staged in new zealand and australia for cars c"}
{"subject": "math:David_Plaisted", "predicate": "proves", "object": "david alan plaisted is a computer science professor at the university of north carolina at chapel hi"}
{"subject": "math:Chlorine_nitrate", "predicate": "proves", "object": "chlorine nitrate, with chemical formula clno3 is an important atmospheric gas present in the stratos"}
{"subject": "math:Mark_Smith_(author)", "predicate": "proves", "object": "mark smith is the author of several fantasy gamebooks.\n\nbackground\nsmith is of czech-hungarian/engli"}
{"subject": "math:Thiazyl_trifluoride", "predicate": "proves", "object": "thiazyl trifluoride is a chemical compound of nitrogen, sulfur, and fluorine, having the formula . i"}
{"subject": "math:Tudulinna_Parish", "predicate": "proves", "object": "tudulinna parish () was an estonian municipality located in ida-viru county. it had a population of "}
{"subject": "math:Epaderm", "predicate": "proves", "object": "epaderm is brand of emollient made by m\u00f6lnlycke health care, which is used for the treatment of dry "}
{"subject": "math:Unsatisfiable_core", "predicate": "proves", "object": "in mathematical logic, given an unsatisfiable  boolean propositional formula in conjunctive normal f"}
{"subject": "math:Chromium(III)_acetylacetonate", "predicate": "proves", "object": "chromium(iii) acetylacetonate is the coordination compound with the formula cr(c5h7o2)3, sometimes d"}
{"subject": "math:1966_Tasman_Series", "predicate": "proves", "object": "the 1966 tasman championship for drivers was a motor racing competition for racing cars complying wi"}
{"subject": "math:Edingtonite", "predicate": "proves", "object": "edingtonite is a white, gray, brown, colorless, pink or yellow zeolite mineral. its chemical formula"}
{"subject": "math:Willmore_conjecture", "predicate": "proves", "object": "in differential geometry, the willmore conjecture is a lower bound on the willmore energy of a torus"}
{"subject": "math:Differential_inclusion", "predicate": "proves", "object": "in mathematics, differential inclusions are a generalization of the concept of ordinary differential"}
{"subject": "math:1967_Tasman_Series", "predicate": "proves", "object": "the 1967 tasman series was a motor racing competition open to racing cars complying with the tasman "}
{"subject": "math:1962_Danish_Grand_Prix", "predicate": "proves", "object": "the iii grote prijs van danske (or 3rd danish grand prix) was held on 25\u201326 august 1962,  at the ros"}
{"subject": "math:Darcy_friction_factor_formulae", "predicate": "proves", "object": "in fluid dynamics, the darcy friction factor formulae are equations that allow the calculation of th"}
{"subject": "math:Cobalt(II)_thiocyanate", "predicate": "proves", "object": "cobalt(ii) thiocyanate is an inorganic compound with the formula co(scn)2. it is a layered coordinat"}
{"subject": "math:Fast_flux", "predicate": "proves", "object": "fast flux is a domain name system (dns) based evasion technique used by cyber criminals to hide phis"}
{"subject": "math:Henry_Raynor", "predicate": "proves", "object": "henry broughton raynor (29 january 1917 \u2013 23 july 1989) was a musicologist and a british author.\n\nbi"}
{"subject": "math:Lehmer's_conjecture", "predicate": "proves", "object": "lehmer's conjecture, also known as the lehmer's mahler measure problem, is a problem in number theor"}
{"subject": "math:James_F._Allen_(computer_scientist)", "predicate": "proves", "object": "james frederick allen (born 1950) is a computational linguist recognized for his contributions to te"}
{"subject": "math:Robert_J._Marks_II", "predicate": "proves", "object": "robert jackson marks ii (born august 25, 1950) is an american electrical engineer, computer scientis"}
{"subject": "math:NeuroAiD", "predicate": "proves", "object": "neuroaid is a herbal supplement proposed to support functional recovery after strokes. there were tw"}
{"subject": "math:Carbon_monosulfide", "predicate": "proves", "object": "carbon monosulfide is a chemical compound with the formula cs. this diatomic molecule is the sulfur "}
{"subject": "math:Bundle_adjustment", "predicate": "proves", "object": "in photogrammetry and computer stereo vision, bundle adjustment is simultaneous refining of the 3d c"}
{"subject": "math:Arrianus_(jurist)", "predicate": "proves", "object": "arrianus was a roman jurisconsult of uncertain date.  he probably lived under trajan, and, according"}
{"subject": "math:Prehomogeneous_vector_space", "predicate": "proves", "object": "in mathematics, a prehomogeneous vector space (pvs) is a finite-dimensional vector space v together "}
{"subject": "math:Lommel_function", "predicate": "proves", "object": "the lommel differential equation, named after eugen von lommel, is an inhomogeneous form of  the bes"}
{"subject": "math:Bin_(computational_geometry)", "predicate": "proves", "object": "in computational geometry, the bin is a data structure that allows efficient region queries. each ti"}
{"subject": "math:C9H8O4", "predicate": "proves", "object": "{{displaytitle:c9h8o4}}\nthe molecular formula c9h8o4 (molar mass: 180.15 g/mol, exact mass: 180.0423"}
{"subject": "math:Henry_George_theorem", "predicate": "proves", "object": "the henry george theorem states that under certain conditions, aggregate spending by government on p"}
{"subject": "math:Ian_Dyk", "predicate": "proves", "object": "ian dyk (born 15 september 1985), is an australian race driver. starting in motocross in 1991, he mo"}
{"subject": "math:\u03a9-logic", "predicate": "proves", "object": "in set theory, \u03c9-logic is an infinitary logic and deductive system proposed by  as part of an attemp"}
{"subject": "math:Biotechnology_and_Applied_Biochemistry", "predicate": "proves", "object": "biotechnology and applied biochemistry is a bimonthly peer-reviewed scientific journal covering biot"}
{"subject": "math:Stokes's_law_of_sound_attenuation", "predicate": "proves", "object": "in acoustics, stokes's law of sound attenuation is a formula for the attenuation of sound in a newto"}
{"subject": "math:1908_French_Grand_Prix", "predicate": "proves", "object": "the 1908 french grand prix was a grand prix motor race held at dieppe on 7 july 1908.\n\nformula chang"}
{"subject": "math:Penman\u2013Monteith_equation", "predicate": "proves", "object": "the penman\u2013monteith equation approximates net evapotranspiration (et) from meteorological data, as a"}
{"subject": "math:Shift_theorem", "predicate": "proves", "object": "in mathematics, the (exponential) shift theorem is a theorem about polynomial differential operators"}
{"subject": "math:Freudenthal_magic_square", "predicate": "proves", "object": "in mathematics, the freudenthal magic square (or freudenthal\u2013tits magic square) is a construction re"}
{"subject": "math:N-Oxalylglycine", "predicate": "proves", "object": "n-oxalylglycine is the organic compound with the formula ho2cc(o)nhch2co2h. this colourless solid is"}
{"subject": "math:Vaught_conjecture", "predicate": "proves", "object": "the vaught conjecture is a conjecture in the mathematical field of model theory originally proposed "}
{"subject": "math:Lewis's_trilemma", "predicate": "proves", "object": "lewis's trilemma is an apologetic argument traditionally used to argue for the divinity of jesus by "}
{"subject": "math:John_Edmondson,_2nd_Baron_Sandford", "predicate": "proves", "object": "commander john cyril edmondson, 2nd baron sandford, dsc (22 december 1920 \u2013 13 january 2009) was a d"}
{"subject": "math:Grammaticality", "predicate": "proves", "object": "in linguistics, grammaticality is determined by the conformity to language usage as derived by the g"}
{"subject": "math:Self-executing_right", "predicate": "proves", "object": "self-executing rights in international human rights law are formulated in such a way that one can de"}
{"subject": "math:1995_Australian_Drivers'_Championship", "predicate": "proves", "object": "the 1995 australian drivers' championship was open to drivers of racing cars complying with cams for"}
{"subject": "math:Tarzan_Yamada", "predicate": "proves", "object": "is a japanese time attack driver. he is currently a judge at american formula d events. yamada has r"}
{"subject": "math:Jon_Lancaster", "predicate": "proves", "object": "jon francis lancaster (born 10 december 1988 in leeds) is a british auto racing driver.\n\ncareer\n\near"}
{"subject": "math:Kervaire_invariant", "predicate": "proves", "object": "in mathematics, the kervaire invariant is an invariant of a framed -dimensional manifold that measur"}
{"subject": "math:Manual_keigo", "predicate": "proves", "object": ", is a controversial form of honorifics (keigo) in the japanese language. employers such as fast-foo"}
{"subject": "math:Krener's_theorem", "predicate": "proves", "object": "in mathematics, krener's theorem is a result attributed to arthur j. krener in geometric control the"}
{"subject": "math:J._J._Jackson's_Dilemma", "predicate": "proves", "object": "j.j. jackson's dilemma is the fourth album by j. j. jackson and his second recorded in the uk.\n\nhist"}
{"subject": "math:Bazzite", "predicate": "proves", "object": "bazzite is a beryllium scandium cyclosilicate mineral with chemical formula  ( or ). it crystallizes"}
{"subject": "math:Lydia_Tomkiw", "predicate": "proves", "object": "lydia tomkiw (august 6, 1959september 4, 2007) was an american  poet, singer, and songwriter, best k"}
{"subject": "math:Methanesulfonyl_chloride", "predicate": "proves", "object": "methanesulfonyl chloride (mesyl chloride) is an organosulfur compound with the formula . using the o"}
{"subject": "math:Nonnegative_rank_(linear_algebra)", "predicate": "proves", "object": "in linear algebra, the nonnegative rank of a nonnegative matrix is a concept similar to the usual li"}
{"subject": "math:Verrenberg", "predicate": "proves", "object": "verrenberg is a village in hohenlohe, germany and has been a part of \u00f6hringen since february 1, 1972"}
{"subject": "math:2008_Singapore_Grand_Prix", "predicate": "proves", "object": "the 2008 singapore grand prix, formally known as the 2008 formula 1 singtel singapore grand prix, wa"}
{"subject": "math:Steven_Ellery", "predicate": "proves", "object": "steven ellery (born 22 august 1974 in melbourne) is a retired australian racing driver known from v8"}
{"subject": "math:Sponge_and_dough", "predicate": "proves", "object": "the sponge and dough method is a two-step bread making process: in the first step a sponge is made a"}
{"subject": "math:Demographic_gravitation", "predicate": "proves", "object": "demographic gravitation is a concept of \"social physics\", introduced by princeton university astroph"}
{"subject": "math:Glossary_of_chemistry_terms", "predicate": "proves", "object": "this glossary of chemistry terms is a list of terms and definitions relevant to chemistry, including"}
{"subject": "math:Youichi_Imamura", "predicate": "proves", "object": "is a japanese professional drifting driver, currently serving as a judge in formula drift japan afte"}
{"subject": "math:Pre-measure", "predicate": "proves", "object": "in mathematics, a pre-measure is a set function that is, in some sense, a precursor to a bona fide m"}
{"subject": "math:Inorganic_Syntheses", "predicate": "proves", "object": "inorganic syntheses is a book series which aims to publish \"detailed and foolproof\" procedures for t"}
{"subject": "math:Formula_One_video_games", "predicate": "proves", "object": "ever since pole position in 1982, formula one (f1) has always played a part of the racing genre in v"}
{"subject": "math:McLaren_MP4-23", "predicate": "proves", "object": "the mclaren mp4-23 was a formula one racing car that was constructed by the vodafone mclaren mercede"}
{"subject": "math:Pollaczek\u2013Khinchine_formula", "predicate": "proves", "object": "in queueing theory, a discipline within the mathematical theory of probability, the pollaczek\u2013khinch"}
{"subject": "math:Hoover_Orsi", "predicate": "proves", "object": "hoover orsi pereira martins (born may 16, 1978 in campo grande, mato grosso do sul) is a brazilian r"}
{"subject": "math:Rudskogen", "predicate": "proves", "object": "rudskogen motorsenter is norway\u2019s oldest asphalt race circuit, opened on may 20, 1990. it has hosted"}
{"subject": "math:Linear_space_(geometry)", "predicate": "proves", "object": "a linear space is a basic structure in incidence geometry.  a linear space consists of a set of elem"}
{"subject": "math:2004_Formula_Renault_V6_Eurocup", "predicate": "proves", "object": "the 2004 formula renault v6 eurocup season began on the weekend of 27 march at monza. 2004 was the l"}
{"subject": "math:Plumbagin", "predicate": "proves", "object": "plumbagin or 5-hydroxy-2-methyl-1,4-naphthoquinone is an organic compound with the chemical formula "}
{"subject": "math:Line_field", "predicate": "proves", "object": "in mathematics, a line field on a manifold is a formation of a line being tangent to a manifold at e"}
{"subject": "math:Iron(III)_sulfate", "predicate": "proves", "object": "iron(iii) sulfate (or ferric sulfate), is a family of inorganic compounds with the formula fe2(so4)3"}
{"subject": "math:List_of_Formula_One_Promotional_Trophy_winners", "predicate": "proves", "object": "formula one management has awarded three different promotional awards, the television trophy for the"}
{"subject": "math:Force_India", "predicate": "proves", "object": "force india formula one team limited, commonly known as force india and later sahara force india, wa"}
{"subject": "math:Formula_K\u00f6nig", "predicate": "proves", "object": "formula k\u00f6nig was an open wheel racing series based in germany and sponsored by german automobile co"}
{"subject": "math:Renault_R28", "predicate": "proves", "object": "the renault r28 is a formula one racing car, with which renault f1 contested the 2008 formula one se"}
{"subject": "math:Postcautionary_principle", "predicate": "proves", "object": "the postcautionary principle is a principle of de facto environmental management formulated by john "}
{"subject": "math:2003_Formula_Renault_V6_Eurocup", "predicate": "proves", "object": "the 2003 formula renault v6 eurocup season began on april, 5 at circuit de catalunya. 2003 was the f"}
{"subject": "math:Bloch_spectrum", "predicate": "proves", "object": "the bloch spectrum is a concept in quantum mechanics in the field of theoretical physics; this conce"}
{"subject": "math:KdV_hierarchy", "predicate": "proves", "object": "in mathematics, the kdv hierarchy is an infinite sequence of partial differential equations which co"}
{"subject": "math:Lee_Bentham", "predicate": "proves", "object": "lee bentham (born july 27, 1970) is a canadian former racing driver from richmond hill, ontario. in "}
{"subject": "math:Chromium(III)_sulfate", "predicate": "proves", "object": "chromium(iii) sulfate usually refers to the inorganic compounds with the formula cr2(so4)3.x(h2o), w"}
{"subject": "math:Dioxygenyl_hexafluoroplatinate", "predicate": "proves", "object": "dioxygenyl hexafluoroplatinate is a compound with formula o2ptf6. it is a hexafluoroplatinate of the"}
{"subject": "math:Idiot-proof", "predicate": "proves", "object": "in modern english usage, the informal term idiot-proof or  foolproof describes designs that cannot b"}
{"subject": "math:Wolfram's_2-state_3-symbol_Turing_machine", "predicate": "proves", "object": "in his book a new kind of science, stephen wolfram described a universal 2-state 5-symbol turing mac"}
{"subject": "math:L-Seven", "predicate": "proves", "object": "l-seven was an american post-punk band from detroit, michigan, united states. the band existed durin"}
{"subject": "math:Thiosulfuric_acid", "predicate": "proves", "object": "thiosulfuric acid  is the inorganic compound with the formula . it has attracted academic interest a"}
{"subject": "math:Higher_sulfur_oxides", "predicate": "proves", "object": "higher sulfur oxides are a group of chemical compounds with the formula so3+x where x lies between 0"}
{"subject": "math:Tax_ladder", "predicate": "proves", "object": "tax ladder is a term sometimes used to refer to the formula for calculating a taxpayer's tax liabili"}
{"subject": "math:Attributional_calculus", "predicate": "proves", "object": "attributional calculus is a logic and representation system defined by ryszard s. michalski. it comb"}
{"subject": "math:2006_Formula_V6_Asia_by_Renault_Series", "predicate": "proves", "object": "the 2006 formula v6 asia series was the first season of the series. the season started on may 13\u201314 "}
{"subject": "math:Symplectization", "predicate": "proves", "object": "in mathematics, the symplectization of a contact manifold is a symplectic manifold which naturally c"}
{"subject": "math:Bramble\u2013Hilbert_lemma", "predicate": "proves", "object": "in mathematics, particularly numerical analysis, the bramble\u2013hilbert lemma, named after james h. bra"}
{"subject": "math:Algebraist", "predicate": "proves", "object": "algebraist may refer to:\na specialist in algebra.\n the algebraist, a science fiction novel by iain m"}
{"subject": "math:1,4-Dioxin", "predicate": "proves", "object": "1,4-dioxin (also referred as dioxin or p-dioxin) is a heterocyclic, organic, non-aromatic compound w"}
{"subject": "math:External_(mathematics)", "predicate": "proves", "object": "the term external is useful for describing certain algebraic structures. the term comes from the con"}
{"subject": "math:Aminoacetone", "predicate": "proves", "object": "aminoacetone is the simplest monopeptide with the formula ch3c(o)ch2nh2.  although stable in the gas"}
{"subject": "math:1,2-Dioxin", "predicate": "proves", "object": "1,2-dioxin is a heterocyclic, organic, antiaromatic compound with the chemical formula cho. it is an"}
{"subject": "math:Japanese_theorem_for_cyclic_quadrilaterals", "predicate": "proves", "object": "in geometry, the japanese theorem states that the centers of the incircles of certain triangles insi"}
{"subject": "math:Japanese_theorem", "predicate": "proves", "object": "the term japanese theorem refers to either of the following two geometrical theorems:\n\njapanese theo"}
{"subject": "math:Lower_sulfur_oxides", "predicate": "proves", "object": "the lower sulfur oxides are a group of inorganic compounds with the formula smon, where 2m > n.  the"}
{"subject": "math:Isopropyl_palmitate", "predicate": "proves", "object": "isopropyl palmitate is the ester of isopropyl alcohol and palmitic acid. it is an emollient, moistur"}
{"subject": "math:Gareth_Rees_(motorsport_commentator)", "predicate": "proves", "object": "gareth rees (born 12 march 1969) is a welsh motorsport commentator. he has commentated on a wide var"}
{"subject": "math:Philippe_G._Ciarlet", "predicate": "proves", "object": "philippe g. ciarlet (born 14 october 1938) is a french mathematician, known particularly for his wor"}
{"subject": "math:Mini_Racing_Online", "predicate": "proves", "object": "miniracingonline is a freeware game designed by vicente mas morant, a.k.a. \"kotai\", in 2003, mainly "}
{"subject": "math:2,3-Butanediol", "predicate": "proves", "object": "2,3-butanediol is the organic compound with the formula (ch3choh)2.  it is classified as a vic-diol "}
{"subject": "math:Veremund", "predicate": "proves", "object": "veremund or veremundus (later vernacular vermudo or bermudo) was a suevic king of galicia around 500"}
{"subject": "math:2005_Formula_Renault_3.5_Series", "predicate": "proves", "object": "the 2005 formula renault 3.5 series was the first formula renault 3.5 series season. the season bega"}
{"subject": "math:Bicone", "predicate": "proves", "object": "in geometry, a bicone or dicone (from , and greek: di-, both meaning \"two\") is the three-dimensional"}
{"subject": "math:Hudson's_equation", "predicate": "proves", "object": "hudson's equation, also known as hudson formula, is an equation used by coastal engineers to calcula"}
{"subject": "math:Daimonion_(band)", "predicate": "proves", "object": "daimonion are a polish band from piotrk\u00f3w trybunalski established in 1994. they play an energetic, c"}
{"subject": "math:Isopropyl_chloride", "predicate": "proves", "object": "isopropyl chloride  is an organic compound with the chemical formula (ch3)2chcl.  it is a colourless"}
{"subject": "math:Zariski's_main_theorem", "predicate": "proves", "object": "in algebraic geometry, zariski's main theorem, proved by , is a statement about the structure of bir"}
{"subject": "math:Panam_GP_Series", "predicate": "proves", "object": "the panam gp series is the replacement of the mexican formula three championship. in 2002 began as m"}
{"subject": "math:Dirhenium_decacarbonyl", "predicate": "proves", "object": "dirhenium decacarbonyl is the inorganic compound with the chemical formula re2(co)10 . commercially "}
{"subject": "math:Separating_set", "predicate": "proves", "object": "in mathematics, a set  of functions with domain  is called a  and is said to   (or just ) if for any"}
{"subject": "math:4-Chloroaniline", "predicate": "proves", "object": "4-chloroaniline is an organochlorine compound with the formula clc6h4nh2. this pale yellow solid is "}
{"subject": "math:Connectedness_theorem", "predicate": "proves", "object": "in mathematics, the connectedness theorem may be one of\n deligne's connectedness theorem\n fulton\u2013han"}
{"subject": "math:Formula_TR_2000_Pro_Series", "predicate": "proves", "object": "the formula tr 2000 pro series was a formula renault 2.0 championship held in north america. this se"}
{"subject": "math:Rockaway_(carriage)", "predicate": "proves", "object": "rockaway is a term applied to two types of carriage: a light, low, united states four-wheel carriage"}
{"subject": "math:Johan_Frederik_Steffensen", "predicate": "proves", "object": "johan frederik steffensen (28 february 1873, in copenhagen\u00a0\u2013 20 december 1961) was a danish mathemat"}
{"subject": "math:Zariski's_connectedness_theorem", "predicate": "proves", "object": "in algebraic geometry, zariski's connectedness theorem (due to oscar zariski) says that under certai"}
{"subject": "math:Second-order_stimulus", "predicate": "proves", "object": "a second-order stimulus is a form of visual stimulus used in psychophysics in which objects are deli"}
{"subject": "math:Henry_Sampson_(newspaper_proprietor)", "predicate": "proves", "object": "henry sampson (1841, lincoln \u2013 16 may 1891) was an english editor, writer and newspaper proprietor.\n"}
{"subject": "math:Formula_Renault_2.0_Alps", "predicate": "proves", "object": "formula renault 2.0 alps was a category of formula renault open-wheel racing, created by the merging"}
{"subject": "math:Dick_Tracy's_Dilemma", "predicate": "proves", "object": "dick tracy's dilemma, released in the united kingdom as mark of the claw, is a 1947 american action "}
{"subject": "math:Grothendieck's_connectedness_theorem", "predicate": "proves", "object": "in mathematics, grothendieck's connectedness theorem ,  states that if a is a complete noetherian lo"}
{"subject": "math:Cobalt(III)_oxide", "predicate": "proves", "object": "cobalt(iii) oxide is the inorganic compound with the formula of co2o3. although only two oxides of c"}
{"subject": "math:Potassium_nonahydridorhenate", "predicate": "proves", "object": "potassium nonahydridorhenate(vii) is an inorganic compound having the formula . this colourless salt"}
{"subject": "math:Rational_homotopy_theory", "predicate": "proves", "object": "in mathematics and specifically in topology, rational homotopy theory is a simplified version of hom"}
{"subject": "math:Formula_Renault_Northern_European_Cup", "predicate": "proves", "object": "the formula renault northern european cup (formerly formula renault 2.0 nec) was a formula renault 2"}
{"subject": "math:Formula_Renault_2.0_West_European_Cup", "predicate": "proves", "object": "the formula renault 2.0 west european cup (wec) was a formula renault 2.0 championship that replaced"}
{"subject": "math:Joseph_L._Walsh", "predicate": "proves", "object": "\n\njoseph leonard walsh (september 21, 1895 \u2013 december 6, 1973) was an american mathematician who wor"}
{"subject": "math:Giordano_Vitale", "predicate": "proves", "object": "giordano vitale or vitale giordano (october 15, 1633 \u2013 november 3, 1711) was an italian mathematicia"}
{"subject": "math:Rudolf_Wille", "predicate": "proves", "object": "rudolf wille (2 november 1937 \u2013 22 january 2017) was a german mathematician and was professor of gen"}
{"subject": "math:F1_2000_(disambiguation)", "predicate": "proves", "object": "f1 2000 may refer to:\n the 2000 formula one season, the 51st fia formula one world championship seas"}
{"subject": "math:George_Chrystal", "predicate": "proves", "object": "george chrystal frse frs (8 march 1851 \u2013 3 november 1911) was a scottish mathematician. he is primar"}
{"subject": "math:Polygodial", "predicate": "proves", "object": "polygodial is chemical compound found in dorrigo pepper, mountain pepper, horopito, canelo, paracres"}
{"subject": "math:Calculus_Made_Easy", "predicate": "proves", "object": "calculus made easy is a book on infinitesimal calculus originally published in 1910 by silvanus p. t"}
{"subject": "math:Vantasselite", "predicate": "proves", "object": "vantasselite is a rare aluminium phosphate mineral with formula: al4(po4)3(oh)3 \u20229h2o. it crystalliz"}
{"subject": "math:Renault_RS10", "predicate": "proves", "object": "the renault rs10 was a formula 1 car developed to compete in the 1979 formula one season, which beca"}
{"subject": "math:Proof_of_Destruction", "predicate": "proves", "object": "proof of destruction (p.o.d.) is a fixed shooter for the commodore 64 and commodore 16 written by sh"}
{"subject": "math:Oastler", "predicate": "proves", "object": "oastler is a surname. notable people with the surname include:\n\nrichard oastler (1789\u20131861), english"}
{"subject": "math:Edwin_Spanier", "predicate": "proves", "object": "edwin henry spanier (august 8, 1921 \u2013 october 11, 1996) was an american mathematician at the univers"}
{"subject": "math:CGOL", "predicate": "proves", "object": "cgol (pronounced \"see goll\") is an alternative syntax featuring an extensible algebraic notation for"}
{"subject": "math:PIN_Group_(disambiguation)", "predicate": "proves", "object": "pin group was a german courier and postal services company. \"pin group\" may also refer to:\n\npin grou"}
{"subject": "math:C7H8O3", "predicate": "proves", "object": "{{displaytitle:c7h8o3}}\nthe molecular formula c7h8o3 (molar mass: 140.14 g/mol, exact mass: 140.0473"}
{"subject": "math:Fireproof_(film)", "predicate": "proves", "object": "fireproof is a 2008 american christian drama film released by samuel goldwyn films and affirm films "}
{"subject": "math:Darken_(disambiguation)", "predicate": "proves", "object": "darken may refer to:\n\n darken rahl, a fictional character from terry goodkind's the sword of truth s"}
{"subject": "math:Jackass_Number_Two:_Music_from_the_Motion_Picture", "predicate": "proves", "object": "jackass number two: music from the motion picture is the soundtrack from the movie jackass number tw"}
{"subject": "math:Heptene", "predicate": "proves", "object": "heptene is a higher olefin, or alkene with the formula c7h14.\nthe commercial product is a liquid tha"}
{"subject": "math:Decene", "predicate": "proves", "object": "decene  is an organic compound with the chemical formula . decene contains a chain of ten carbon ato"}
{"subject": "math:Ronald_G._Douglas", "predicate": "proves", "object": "ronald george douglas (december 10, 1938 \u2013 february 27, 2018) was an american mathematician, best kn"}
{"subject": "math:CEILIDH", "predicate": "proves", "object": "ceilidh is a public key cryptosystem based on the discrete logarithm problem in algebraic torus. thi"}
{"subject": "math:Tony_Yang", "predicate": "proves", "object": "tony yang (; born 30 august 1982) is a taiwanese actor who rose to prominence for his debut film rol"}
{"subject": "math:Hanfried_Lenz", "predicate": "proves", "object": "hanfried lenz (22 april 1916 in munich1 june 2013 in berlin) was a german mathematician, who is main"}
{"subject": "math:The_Gold_Ghost", "predicate": "proves", "object": "the gold ghost is a 1934 short american pre-code comedy film starring buster keaton.\n\nplot\ntwo wealt"}
{"subject": "math:Samuel_Earnshaw", "predicate": "proves", "object": "samuel earnshaw (1 february 1805, sheffield, yorkshire\u00a0\u2013 6 december 1888, sheffield, yorkshire) was "}
{"subject": "math:Surface_gradient", "predicate": "proves", "object": "in vector calculus, the surface gradient is a vector differential operator that is similar to the co"}
{"subject": "math:Jessica_Sklar", "predicate": "proves", "object": "jessica katherine sklar (born 1973) is a mathematician interested in abstract algebra, recreational "}
{"subject": "math:Rosberg", "predicate": "proves", "object": "rosberg is a swedish surname.\n\nit may refer to:\n\n rosberg racing family\n keke rosberg, father of nic"}
{"subject": "math:Classification_of_manifolds", "predicate": "proves", "object": "in mathematics, specifically geometry and topology, the classification of manifolds is a basic quest"}
{"subject": "math:European_KF1_Championship", "predicate": "proves", "object": "the european kf1 championship is a kart racing competition organised by the cik-fia.\n\nthis class use"}
{"subject": "math:Relative_dimension", "predicate": "proves", "object": "in mathematics, specifically linear algebra and geometry, relative dimension is the dual notion to c"}
{"subject": "math:Delaunay_refinement", "predicate": "proves", "object": "in mesh generation, delaunay refinements are algorithms for mesh generation based on the principle o"}
{"subject": "math:Day_Eleven:_Love", "predicate": "proves", "object": "\"day eleven: love\" (often referred to as just \"love\") is the fourth single by ayreon, released on 20"}
{"subject": "math:MENTOR_routing_algorithm", "predicate": "proves", "object": "the mentor routing algorithm is an algorithm for use in routing of mesh networks, specifically perta"}
{"subject": "math:Tributylphosphine", "predicate": "proves", "object": "tributylphosphine is the organophosphorus compound with the formula p(ch). abbreviated or pbu, it is"}
{"subject": "math:Centroidal_Voronoi_tessellation", "predicate": "proves", "object": "in geometry, a centroidal voronoi tessellation (cvt) is a special type of voronoi tessellation in wh"}
{"subject": "math:Formula_Renault_2.0_Sweden", "predicate": "proves", "object": "the formula renault 2.0 sweden is a formula renault 2.0 championship held in denmark, finland and sw"}
{"subject": "math:Loser_(Ayreon_song)", "predicate": "proves", "object": "\"loser\" is a song by arjen anthony lucassen's progressive rock/metal opera ayreon, originally releas"}
{"subject": "math:Come_Back_to_Me_(Ayreon_song)", "predicate": "proves", "object": "\u201ccome back to me\u201d is the fifth single by arjen anthony lucassen's progressive rock/metal opera ayreo"}
{"subject": "math:Cobalt(II)_chlorate", "predicate": "proves", "object": "cobalt(ii) chlorate is a chemical compound with the formula co(clo3)2.\nit is formed by a double disp"}
{"subject": "math:2002_Australian_Formula_Ford_Championship", "predicate": "proves", "object": "the 2002 australian formula ford championship was a cams sanctioned australian motor racing title op"}
{"subject": "math:Romanesca", "predicate": "proves", "object": "romanesca is a melodic-harmonic formula popular from the mid\u201316th to early\u201317th centuries that was u"}
{"subject": "math:Osarizawaite", "predicate": "proves", "object": "osarizawaite is a greenish yellow sulfate mineral with the chemical formula: pbcual2(so4)2(oh)6. it "}
{"subject": "math:Beurling\u2013Lax_theorem", "predicate": "proves", "object": "in mathematics, the  beurling\u2013lax theorem is a theorem due to  and  which characterizes the shift-in"}
{"subject": "math:Tetraethylammonium_bromide", "predicate": "proves", "object": "tetraethylammonium bromide (teab) is a quaternary ammonium compound with the chemical formula  c8h20"}
{"subject": "math:Team_Astromega", "predicate": "proves", "object": "team astromega was a racing team from belgium, headquartered in heist-op-den-berg and created in 199"}
{"subject": "math:Metro_Ring_Protocol", "predicate": "proves", "object": "the metro ring protocol (mrp) is a layer 2 resilience protocol developed by foundry networks and cur"}
{"subject": "math:Azim_Khamisa", "predicate": "proves", "object": "azim khamisa is a speaker and author of three books, the latest one being \"the secrets of the bullet"}
{"subject": "math:United_Nations_General_Assembly_Resolution_177", "predicate": "proves", "object": "un general assembly resolution 177, 21 november 1947 - formulation of the principles recognised in t"}
{"subject": "math:N-Nitrosodiethylamine", "predicate": "proves", "object": "n-nitrosodiethylamine (ndea) is an organic compound with the formula et2nno (et = c2h5).  a member o"}
{"subject": "math:Archimedes_Geo3D", "predicate": "proves", "object": "archimedes geo3d is a software package for dynamic geometry in three dimensions. it was released in "}
{"subject": "math:ABS_methods", "predicate": "proves", "object": "abs methods, where the acronym contains the initials of jozsef abaffy, charles g. broyden and emilio"}
{"subject": "math:1,5-Pentanediol", "predicate": "proves", "object": "1,5-pentanediol is the organic compound with the formula ho(ch)oh. like other diols, this viscous co"}
{"subject": "math:Noise-canceling_microphone", "predicate": "proves", "object": "a noise-canceling microphone is a microphone that is designed to filter ambient noise.\n\ntechnical de"}
{"subject": "math:Circuito_di_Cagliari", "predicate": "proves", "object": "the circuito cittadino di cagliari was a temporary street circuit that encircled the stadio sant'eli"}
{"subject": "math:Iberiotoxin", "predicate": "proves", "object": "iberiotoxin (ibtx) is an ion channel toxin purified from the eastern indian red scorpion hottentotta"}
{"subject": "math:Malgrange\u2013Ehrenpreis_theorem", "predicate": "proves", "object": "in mathematics, the malgrange\u2013ehrenpreis theorem states that every non-zero linear differential oper"}
{"subject": "math:Benzocyclobutadiene", "predicate": "proves", "object": "benzocyclobutadiene is the simplest polycyclic hydrocarbon, being composed of an aromatic benzene ri"}
{"subject": "math:Gallium_manganese_arsenide", "predicate": "proves", "object": "gallium manganese arsenide, chemical formula  is a magnetic semiconductor. it is based on the world'"}
{"subject": "math:Ehrenpreis", "predicate": "proves", "object": "ehrenpreis is a surname. notable people with the surname include:\n\nleon ehrenpreis (1930\u20132010), amer"}
{"subject": "math:Leon_Ehrenpreis", "predicate": "proves", "object": "eliezer 'leon' ehrenpreis (may 22, 1930 \u2013 august 16, 2010, brooklyn) was a mathematician at temple u"}
{"subject": "math:Formulary_controversy", "predicate": "proves", "object": "the formulary controversy was a 17th- and 18th-century jansenist refusal to confirm the formula of s"}
{"subject": "math:Andy_Booth_(racing_driver)", "predicate": "proves", "object": "andy booth (born 2 june 1974) is a new zealand racing driver.\n\na relatively late starter in motorspo"}
{"subject": "math:Pavel_Jacobi", "predicate": "proves", "object": "pavel ivanovich jacobi ( or \u044f\u043a\u043e\u0431\u0438\u0439; , kazan - ) was a russian empire revolutionary socialist, member"}
{"subject": "math:Manifold_(fluid_mechanics)", "predicate": "proves", "object": "a manifold is a wider and/or larger pipe or channel, into which smaller pipes or channels lead, or a"}
{"subject": "math:Tetrahydroisoquinoline", "predicate": "proves", "object": "tetrahydroisoquinoline (tiq or thiq) is an organic compound with the chemical formula c9h11n. classi"}
{"subject": "math:Debra_Bernhardt", "predicate": "proves", "object": "debra bernhardt (n\u00e9e searles)  (born 1965) is an australian theoretical chemist. she is best known f"}
{"subject": "math:N-Propyl-L-arginine", "predicate": "proves", "object": "{{displaytitle:n-propyl-l-arginine}}\n\n{{chembox\n| verifiedfields = changed\n| watchedfields = changed"}
{"subject": "math:Schuette\u2013Nesbitt_formula", "predicate": "proves", "object": "in mathematics, the schuette\u2013nesbitt formula is a generalization of the inclusion\u2013exclusion principl"}
{"subject": "math:Super_Aguri_SA08", "predicate": "proves", "object": "the super aguri sa08 is a formula one racing car with which super aguri f1 competed in the 2008 form"}
{"subject": "math:Peter_Storm_(clothing)", "predicate": "proves", "object": "peter storm is an outdoor clothing brand developed in the united kingdom. it was originally created "}
{"subject": "math:Toyota_VD_engine", "predicate": "proves", "object": "the toyota vd engine is a family of v8 diesel engines produced by toyota.\n\n1vd-ftv\nthe 1vd-ftv the o"}
{"subject": "math:Iranian_passport", "predicate": "proves", "object": "iranian passports are issued to nationals of iran for the purpose of international travel. the passp"}
{"subject": "math:China_Girls_Mathematical_Olympiad", "predicate": "proves", "object": "the china girls mathematical olympiad (cgmo) is a math competition with a proof-based format similar"}
{"subject": "math:Williams_FW30", "predicate": "proves", "object": "the williams fw30 is a formula one racing car, designed by williams and introduced at the start of t"}
{"subject": "math:1,3-Butanediol", "predicate": "proves", "object": "1,3-butanediol is an  organic compound with the formula ch3ch(oh)ch2ch2oh. with two alcohol function"}
{"subject": "math:Malgrange_preparation_theorem", "predicate": "proves", "object": "in mathematics, the malgrange preparation theorem is an analogue of the weierstrass preparation theo"}
{"subject": "math:Oil_additive", "predicate": "proves", "object": "oil additives are chemical compounds that improve the lubricant performance of base oil (or oil \"bas"}
{"subject": "math:Non-Hausdorff_manifold", "predicate": "proves", "object": "in geometry and topology, it is a usual axiom of a manifold to be a hausdorff space. in general topo"}
{"subject": "math:Lotus_F1", "predicate": "proves", "object": "lotus f1 team was a british formula one racing team. the team competed under the lotus name from  un"}
{"subject": "math:Scrambling_(linguistics)", "predicate": "proves", "object": "scrambling is a syntactic phenomenon wherein sentences can be formulated using a variety of differen"}
{"subject": "math:Geometry_and_topology", "predicate": "proves", "object": "in mathematics, geometry and topology is an umbrella term for the historically distinct disciplines "}
{"subject": "math:Classical_education", "predicate": "proves", "object": "classical education may refer to:\n\nmodern, educational practices and educational movements:\nan educa"}
{"subject": "math:Meneghinite", "predicate": "proves", "object": "meneghinite is a sulfosalt mineral with the chemical formula cupb13 sb7s24.\n\nin the orthorhombic cry"}
{"subject": "math:Mazur_manifold", "predicate": "proves", "object": "in differential topology, a branch of mathematics, a mazur manifold is a contractible, compact, smoo"}
{"subject": "math:(a,b,0)_class_of_distributions", "predicate": "proves", "object": "in probability theory, a member of the (a, b, 0) class of distributions is any distribution of a dis"}
{"subject": "math:Extended_finite_element_method", "predicate": "proves", "object": "the extended finite element method (xfem), is a numerical technique based on the generalized finite "}
{"subject": "math:Eosphorite", "predicate": "proves", "object": "eosphorite is a brown (occasionally pink) manganese hydrous phosphate mineral with chemical formula:"}
{"subject": "math:Dimedone", "predicate": "proves", "object": "dimedone is an organic compound with the formula . classified as a cyclic diketone, it is a derivati"}
{"subject": "math:Dihydropyran", "predicate": "proves", "object": "in organic chemistry, dihydropyran refers to two heterocyclic compounds with the formula c5h8o:\n\n3,4"}
{"subject": "math:Daigo_Saito", "predicate": "proves", "object": "is a japanese professional drifting driver, currently competing in the d1 grand prix series and form"}
{"subject": "math:Topological_index", "predicate": "proves", "object": "in the fields of chemical graph theory, molecular topology, and mathematical chemistry, a topologica"}
{"subject": "math:Affine_differential_geometry", "predicate": "proves", "object": "affine differential geometry is a type of differential geometry which studies invariants of volume-p"}
{"subject": "math:Chemical_graph_theory", "predicate": "proves", "object": "chemical graph theory is the topology branch of mathematical chemistry which applies graph theory to"}
{"subject": "math:Kozeny\u2013Carman_equation", "predicate": "proves", "object": "the kozeny\u2013carman equation (or carman\u2013kozeny equation or kozeny equation) is a relation used in the "}
{"subject": "math:PARSEC", "predicate": "proves", "object": "parsec is a package designed to perform electronic structure calculations of solids and molecules us"}
{"subject": "math:Toyota_TF108", "predicate": "proves", "object": "the toyota tf108 was a formula one car with which toyota competed in the 2008 formula one season. th"}
{"subject": "math:2008_Bahrain_Grand_Prix", "predicate": "proves", "object": "the 2008 bahrain grand prix (formally the 2008 formula 1 gulf air bahrain grand prix) was a formula "}
{"subject": "math:2008_Spanish_Grand_Prix", "predicate": "proves", "object": "the 2008 spanish grand prix (formally the formula 1 gran premio de espa\u00f1a telef\u00f3nica 2008) was a for"}
{"subject": "math:2008_Turkish_Grand_Prix", "predicate": "proves", "object": "the 2008 turkish grand prix (officially the 2008 formula 1 petrol ofisi turkish grand prix) was a fo"}
{"subject": "math:2008_Monaco_Grand_Prix", "predicate": "proves", "object": "the 2008 monaco grand prix (formally the formula 1 grand prix de monaco 2008) was a formula one moto"}
{"subject": "math:2008_Canadian_Grand_Prix", "predicate": "proves", "object": "the 2008 canadian grand prix (formally the formula 1 grand prix du canada 2008) was a formula one mo"}
{"subject": "math:2008_French_Grand_Prix", "predicate": "proves", "object": "the 2008 french grand prix (formally the formula 1 grand prix de france 2008) was a formula one moto"}
{"subject": "math:Nicholas_Mann_(occult_writer)", "predicate": "proves", "object": "nicholas r. mann (born 1952) is the author of books on geomancy, mythology, the celtic tradition, sa"}
{"subject": "math:Triethyl_phosphite", "predicate": "proves", "object": "triethyl phosphite is an organophosphorus compound, specifically a phosphite ester, with the formula"}
{"subject": "math:Trimethyl_phosphite", "predicate": "proves", "object": "trimethyl phosphite is an organophosphorus compound with the formula p(och3)3, often abbreviated p(o"}
{"subject": "math:Molecular_graph", "predicate": "proves", "object": "in chemical graph theory and in mathematical chemistry, a molecular graph or chemical graph is a rep"}
{"subject": "math:Spache_readability_formula", "predicate": "proves", "object": "the spache readability formula is a readability test for writing in english, designed by george spac"}
{"subject": "math:2008_Hungarian_Grand_Prix", "predicate": "proves", "object": "the 2008 hungarian grand prix (formally the formula 1 ing magyar nagyd\u00edj 2008) was a formula one mot"}
{"subject": "math:2008_European_Grand_Prix", "predicate": "proves", "object": "the 2008 european grand prix (formally the 2008 formula 1 telef\u00f3nica grand prix of europe) was a for"}
{"subject": "math:Team_JVA", "predicate": "proves", "object": "team john village automotive (team jva) is a british motor racing team founded by the former formula"}
{"subject": "math:Causal_structure", "predicate": "proves", "object": "in mathematical physics, the causal structure of a lorentzian manifold describes the causal relation"}
{"subject": "math:Muconic_acid", "predicate": "proves", "object": "muconic acid is a dicarboxylic acid.  there are three isomeric forms designated trans,trans-muconic "}
{"subject": "math:2008_GP2_Series", "predicate": "proves", "object": "the 2008 gp2 series season was the forty-second season of the second-tier of formula one feeder cham"}
{"subject": "math:Proof_and_Experimental_Establishment", "predicate": "proves", "object": "the proof and experimental establishment (pxe) is an indian defence laboratory of the defence resear"}
{"subject": "math:Ministry_of_Science_and_Technology_(China)", "predicate": "proves", "object": "the ministry of science and technology is the fifth-ranked executive department of the state council"}
{"subject": "math:Kleene\u2013Rosser_paradox", "predicate": "proves", "object": "in mathematics, the kleene\u2013rosser paradox is a paradox that shows that certain systems of formal log"}
{"subject": "math:Sutil", "predicate": "proves", "object": "sutil may refer to:\nadrian sutil, german formula one racing driver\nfrancisco sutil, spanish professi"}
{"subject": "math:Spacetime_topology", "predicate": "proves", "object": "spacetime topology is the topological structure of spacetime, a topic studied primarily in general r"}
{"subject": "math:C8H8O4", "predicate": "proves", "object": "the molecular formula c8h8o4 (molar mass : 168.15 g/mol, exact mass : 168.042259 u) may refer to:\n\n "}
{"subject": "math:Sodium_dehydroacetate", "predicate": "proves", "object": "sodium dehydroacetate is a compound with the formula na(ch3c5ho(o2)(ch3)co). it is the sodium salt o"}
{"subject": "math:Sodium_lactate", "predicate": "proves", "object": "sodium lactate is the sodium salt of lactic acid, and has a mild saline taste. it is produced by fer"}
{"subject": "math:Potassium_lactate", "predicate": "proves", "object": "potassium lactate is a compound with formula kc3h5o3, or h3c-choh-cook. it is the potassium salt of "}
{"subject": "math:Ammonium_lactate", "predicate": "proves", "object": "ammonium lactate is a compound with formula nh4(c2h4(oh)coo). it is the ammonium salt of lactic acid"}
{"subject": "math:Ammonium_malate", "predicate": "proves", "object": "ammonium malate refers to organic compounds containing malate and ammonium.  two stoichiometries are"}
{"subject": "math:Sodium_malate", "predicate": "proves", "object": "sodium malate is a compound with formula na2(c2h4o(coo)2). it is the sodium salt of malic acid.  as "}
{"subject": "math:Potassium_malate", "predicate": "proves", "object": "potassium malate is a compound with formula k2(c2h4o(coo)2). it is the potassium salt of malic acid."}
{"subject": "math:Calcium_malate", "predicate": "proves", "object": "calcium malate is a compound with formula ca(c2h4o(coo)2). it is the calcium salt of malic acid.  as"}
{"subject": "math:Ammonium_adipate", "predicate": "proves", "object": "ammonium adipate is a compound with formula (nh4)2(c4h8(coo)2). it is the ammonium salt of adipic ac"}
{"subject": "math:Ammonium_fumarate", "predicate": "proves", "object": "ammonium fumarate is a compound with formula (nh4)2(c2h2(coo)2). it is the ammonium salt of fumaric "}
{"subject": "math:Heptylparaben", "predicate": "proves", "object": "heptylparaben (heptyl p-hydroxybenzoate) is a compound with formula c7h15(c6h4ohcoo). it is a parabe"}
{"subject": "math:Sodium_gluconate", "predicate": "proves", "object": "sodium gluconate is a compound with formula nac6h11o7. it is the sodium salt of gluconic acid.  its "}
{"subject": "math:Eileen_Albrizio", "predicate": "proves", "object": "eileen albrizio is an american writer of poetry and prose, a professional proofreader and editor, an"}
{"subject": "math:Vogt\u2013Russell_theorem", "predicate": "proves", "object": "the vogt\u2013russell theorem states that the structure of a star, in hydrostatic and thermal equilibrium"}
{"subject": "math:2008_Belgian_Grand_Prix", "predicate": "proves", "object": "the 2008 belgian grand prix (officially the 2008 formula 1 ing belgian grand prix) was a formula one"}
{"subject": "math:2008_Italian_Grand_Prix", "predicate": "proves", "object": "the 2008 italian grand prix (formally the formula 1 gran premio santander d'italia 2008) was a formu"}
{"subject": "math:2008_Japanese_Grand_Prix", "predicate": "proves", "object": "the 2008 japanese grand prix (officially the 2008 formula 1 fuji television japanese grand prix) was"}
{"subject": "math:2008_Chinese_Grand_Prix", "predicate": "proves", "object": "the 2008 chinese grand prix (officially the 2008 formula 1 sinopec chinese grand prix) was a formula"}
{"subject": "math:2008_Brazilian_Grand_Prix", "predicate": "proves", "object": "the 2008 brazilian grand prix (formally the formula 1 grande pr\u00eamio do brasil 2008) was a formula on"}
{"subject": "math:Renfrey_Potts", "predicate": "proves", "object": "renfrey burnard (ren) potts ao (1925\u20132005) was an australian mathematician and is notable for the po"}
{"subject": "math:Exceptional_divisor", "predicate": "proves", "object": "in mathematics, specifically algebraic geometry, an exceptional divisor for a regular map\n\nof variet"}
{"subject": "math:Team_Ghinzani", "predicate": "proves", "object": "team ghinzani is a motor racing team based in italy, involved in many areas of motorsport. the team "}
{"subject": "math:Saint-Venant's_theorem", "predicate": "proves", "object": "in solid mechanics, it is common to analyze the properties of beams with constant cross section. sai"}
{"subject": "math:Cut_locus_(Riemannian_manifold)", "predicate": "proves", "object": "in riemannian geometry, the cut locus of a point  in a manifold is roughly the set of all other poin"}
{"subject": "math:FPT_Industries", "predicate": "proves", "object": "fpt industries was formed in july 1939 as fireproof tanks ltd (commonly known as fpt) as a subsidiar"}
{"subject": "math:2,2'-Bis(2-indenyl)_biphenyl", "predicate": "proves", "object": "2,2\u2032-bis(2-indenyl) biphenyl is an organic compound with the formula [c6h4c9h7]2.  the compound is t"}
{"subject": "math:C6H5NO", "predicate": "proves", "object": "{{displaytitle:c6h5no}}\nthe molecular formula c6h5no (molar mass: 107.11 g/mol, exact mass: 107.0371"}
{"subject": "math:Trans-2-Methyl-2-butenal", "predicate": "proves", "object": "trans-2-methyl-2-butenal is an organic compound with the formula ch3ch=c(ch3)cho. this colorless liq"}
{"subject": "math:United_States_Foreign_Operations_Administration", "predicate": "proves", "object": "the foreign operations administration was created in 1953 under the directorship of harold stassen. "}
{"subject": "math:Zykaite", "predicate": "proves", "object": "zykaite or z\u00fdkaite is a grey-white mineral consisting of arsenic, hydrogen, iron, sulfur and oxygen "}
{"subject": "math:Rubidium_silver_iodide", "predicate": "proves", "object": "rubidium silver iodide is a ternary inorganic compound with the formula rbag4i5. its conductivity in"}
{"subject": "math:Sodium_alum", "predicate": "proves", "object": "sodium aluminium sulfate is the inorganic compound with the chemical formula naal(so4)2\u00b712h2o  (some"}
{"subject": "math:Catecholborane", "predicate": "proves", "object": "catecholborane (abbreviated hbcat) is an organoboron compound that is useful in organic synthesis. t"}
{"subject": "math:Australian_One_and_a_Half_Litre_Championship", "predicate": "proves", "object": "the australian one and a half litre championship was a cams sanctioned national motor racing title c"}
{"subject": "math:Eddington_(spacecraft)", "predicate": "proves", "object": "the eddington mission was a european space agency (esa) project that planned to search for earth-lik"}
{"subject": "math:Gaby_Dela_Merced", "predicate": "proves", "object": "gabrielle baltao dela merced (born june 10, 1982) is a filipina racing driver, model, and television"}
{"subject": "math:C8H6", "predicate": "proves", "object": "the molecular formula c8h6 (molar mass: 102.13 g/mol, exact mass: 102.0470 u) may refer to:\n\n benzoc"}
{"subject": "math:External_lamina", "predicate": "proves", "object": "external lamina is a structure similar to basal lamina that surrounds the sarcolemma of muscle cells"}
{"subject": "math:Barstowite", "predicate": "proves", "object": "barstowite, formula pb4[cl6|co3]\u2022h2o, is a transparent to white mineral in the monoclinic system. it"}
{"subject": "math:Nicola_Marozzo", "predicate": "proves", "object": "nicola marozzo (born 1 march 1965) is a former italian racing driver from zumpano, near cosenza. gai"}
{"subject": "math:Vertex_arrangement", "predicate": "proves", "object": "in geometry, a vertex arrangement is a set of points in space described by their relative positions."}
{"subject": "math:Jean-Pierre_Frey", "predicate": "proves", "object": "jean-pierre frey (born january 6, 1955) is a former swiss racing driver from baselgia, medel (lucmag"}
{"subject": "math:Left_inverse", "predicate": "proves", "object": "a left inverse in mathematics may refer to:\n\n a left inverse element with respect to a binary operat"}
{"subject": "math:List_of_noctuid_genera:D", "predicate": "proves", "object": "the huge moth family noctuidae contains the following genera:\n\na b c d e f g h i j k l m n o p q r s"}
{"subject": "math:A-equivalence", "predicate": "proves", "object": "in mathematics, -equivalence, sometimes called right-left equivalence, is an equivalence relation be"}
{"subject": "math:2,6-Dichlorobenzonitrile", "predicate": "proves", "object": "2,6-dichlorobenzonitrile (dcbn or dichlobenil) is an organic compound with the chemical formula c6h3"}
{"subject": "math:List_of_noctuid_genera:E", "predicate": "proves", "object": "the huge moth family noctuidae contains the following genera:\n\na b c d e f g h i j k l m n o p q r s"}
{"subject": "math:Cobalt(II)_carbonate", "predicate": "proves", "object": "cobalt(ii) carbonate is the inorganic compound with the formula coco3.  this reddish paramagnetic so"}
{"subject": "math:Beryllium_carbonate", "predicate": "proves", "object": "beryllium carbonate is a chemical compound with the chemical formula .\n\nstructures\nthere are three f"}
{"subject": "math:Joe_Sposato", "predicate": "proves", "object": "joe sposato (born may 25, 1949) is a former american racing driver from ridgefield, connecticut. he "}
{"subject": "math:2007_Formula_Nippon_Championship", "predicate": "proves", "object": "the 2007 formula nippon championship was  contested over 9 rounds. 12 different teams, 22 different "}
{"subject": "math:Ultrahyperbolic_equation", "predicate": "proves", "object": "in the mathematical field of differential equations, the ultrahyperbolic  equation is a partial diff"}
{"subject": "math:Holmquistite", "predicate": "proves", "object": "holmquistite is a lithium magnesium aluminium inosilicate mineral with chemical formula . it crystal"}
{"subject": "math:Popeye:_Ijiwaru_Majo_Seahag_no_Maki", "predicate": "proves", "object": "is a video game for the super famicom game console based on the popular popeye franchise, specifical"}
{"subject": "math:Harley_Flanders", "predicate": "proves", "object": "harley m. flanders (september 13, 1925 \u2013 july 26, 2013) was an american mathematician, known for sev"}
{"subject": "math:Justin_Jesse_Price", "predicate": "proves", "object": "justin jesse price (1930 \u2013 12 march 2011) was an american mathematician, known for several textbooks"}
{"subject": "math:Calcium_iodate", "predicate": "proves", "object": "calcium iodate is any of two inorganic compounds with the formula ca(io3)2(h2o)x, where x = 0 or 1. "}
{"subject": "math:Causality_conditions", "predicate": "proves", "object": "in the study of lorentzian manifold spacetimes there exists a hierarchy of causality conditions whic"}
{"subject": "math:Formula_Renault_AsiaCup", "predicate": "proves", "object": "the formula renault asiacup (formerly known as the asian formula renault challenge and afr series) i"}
{"subject": "math:Power_center", "predicate": "proves", "object": "power center may refer to:\n\npower center (geometry), the intersection point of the three radical axe"}
{"subject": "math:2003_NCAA_Division_I-A_football_rankings", "predicate": "proves", "object": "two human polls and one formulaic ranking make up the 2003 ncaa division i-a football rankings. unli"}
{"subject": "math:Oral-formulaic_composition", "predicate": "proves", "object": "oral-formulaic composition is a theory that originated in the scholarly study of epic poetry and dev"}
{"subject": "math:List_of_things_named_after_Paul_Erd\u0151s", "predicate": "proves", "object": "the following are named after paul erd\u00f6s:\n\n paul erd\u0151s award of the world federation of national mat"}
{"subject": "math:Aut\u00f3dromo_Internacional_Nelson_Piquet_(Bras\u00edlia)", "predicate": "proves", "object": "aut\u00f3dromo bras\u00edlia brb is a racing circuit in bras\u00edlia, the capital of brazil. it is  in length that"}
{"subject": "math:Kimi", "predicate": "proves", "object": "kimi may refer to:\n\npeople \n kimi djabate (born 1975), bissau-guinean afro-beat/blues musician\n kimi"}
{"subject": "math:Ferrari_F2008", "predicate": "proves", "object": "the ferrari f2008 is a formula one motor racing car that was constructed by scuderia ferrari marlbor"}
{"subject": "math:Gerry_Birrell", "predicate": "proves", "object": "gerald hussey buchanan birrell (30 july 1944 \u2013 23 june 1973) was a british racing driver from scotla"}
{"subject": "math:Apply", "predicate": "proves", "object": "in mathematics and computer science, apply is a function that applies a function to arguments. it is"}
{"subject": "math:1986_Australian_Drivers'_Championship", "predicate": "proves", "object": "the 1986 australian drivers' championship was a cams sanctioned australian motor racing title for fo"}
{"subject": "math:Dirichlet_energy", "predicate": "proves", "object": "in mathematics, the dirichlet energy is a measure of how variable a function is.  more abstractly, i"}
{"subject": "math:Proof_(comics)", "predicate": "proves", "object": "proof is an american comic book series, published by image comics and created by writer alex grecian"}
{"subject": "math:Analytic_torsion", "predicate": "proves", "object": "in mathematics, reidemeister torsion (or r-torsion, or reidemeister\u2013franz torsion) is a topological "}
{"subject": "math:Generalized_Hebbian_algorithm", "predicate": "proves", "object": "the generalized hebbian algorithm (gha), also known in the literature as sanger's rule, is a linear "}
{"subject": "math:Seiberg\u2013Witten_invariants", "predicate": "proves", "object": "in mathematics, and especially gauge theory, seiberg\u2013witten invariants are invariants of compact smo"}
{"subject": "math:Oral-formulaic_theory_in_Anglo-Saxon_poetry", "predicate": "proves", "object": "oral-formulaic theory in anglo-saxon poetry refers to the application of the hypotheses of milman pa"}
{"subject": "math:Sodium_maleonitriledithiolate", "predicate": "proves", "object": "sodium maleonitriledithiolate is the chemical compound described by the formula na2s2c2(cn)2.  the n"}
{"subject": "math:Red_Bull_RB4", "predicate": "proves", "object": "the red bull rb4 is a formula one racing car with which the red bull racing team competed in the 200"}
{"subject": "math:Critical_state_soil_mechanics", "predicate": "proves", "object": "critical state soil mechanics is the area of soil mechanics that encompasses the conceptual models t"}
{"subject": "math:Madelung_equations", "predicate": "proves", "object": "in theoretical physics, the madelung equations, or the equations of quantum hydrodynamics, are erwin"}
{"subject": "math:Lester's_theorem", "predicate": "proves", "object": "in euclidean plane geometry, lester's theorem states that in any scalene triangle, the two fermat po"}
{"subject": "math:3-Mercapto-3-methylbutan-1-ol", "predicate": "proves", "object": "3-mercapto-3-methylbutan-1-ol, also known as mmb, is a common odorant found in food and cat urine. t"}
{"subject": "math:Darwin's_Dilemma", "predicate": "proves", "object": "darwin's dilemma is a personal computer game released in 1990 for the macintosh and sharp x68000 pla"}
{"subject": "math:Even_and_odd_ordinals", "predicate": "proves", "object": "in mathematics, even and odd ordinals extend the concept of parity from the natural numbers to the o"}
{"subject": "math:Uniform_5-polytope", "predicate": "proves", "object": "in geometry, a uniform 5-polytope is a five-dimensional uniform polytope. by definition, a uniform 5"}
{"subject": "math:EXC_code", "predicate": "proves", "object": "exc is a condensed matter physics many-body theory software package implementing the bethe\u2013salpeter "}
{"subject": "math:List_of_Dutch_&_Benelux_Formula_Ford_champions", "predicate": "proves", "object": "this article contains a list of champions in the dutch and benelux formula ford championship. (see t"}
{"subject": "math:John_Cripps_Pembrey_Jnr", "predicate": "proves", "object": "john cripps pembrey jnr (28 december 1831, jericho, oxford - 1 may 1918, oxford) was a distinguished"}
{"subject": "math:Cancell", "predicate": "proves", "object": "cancell, also called protocel, sheridan's formula, jim's juice, crocinic acid, js\u2013114, js\u2013101, 126\u2013f"}
{"subject": "math:Orbit_(control_theory)", "predicate": "proves", "object": "the notion of orbit of a control system used in mathematical control theory is a particular case of "}
{"subject": "math:Extravasation_of_urine", "predicate": "proves", "object": "extravasation of urine refers to the condition where an interruption of the urethra leads to a colle"}
{"subject": "math:Tutton's_salt", "predicate": "proves", "object": "tutton's salts are a family of salts with the formula m2m'(so4)2(h2o)6 (sulfates) or m2m'(seo4)2(h2o"}
{"subject": "math:MPP+", "predicate": "proves", "object": "{{displaytitle:mpp+}}\n\nmpp+ (1-methyl-4-phenylpyridinium) is a positively charged organic molecule w"}
{"subject": "math:David_Widder", "predicate": "proves", "object": "david vernon widder (25 march 1898 \u2013 8 july 1990) was an american mathematician. he earned his ph.d."}
{"subject": "math:Landau\u2013Zener_formula", "predicate": "proves", "object": "the landau\u2013zener formula is an analytic solution to the equations of motion governing the transition"}
{"subject": "math:Keynesian_cross", "predicate": "proves", "object": "the keynesian cross diagram is a formulation of the central ideas in keynes' general theory of emplo"}
{"subject": "math:Eastern_Heights,_Queensland", "predicate": "proves", "object": "{\n  \"type\": \"featurecollection\",\n  \"features\": [\n    {\n      \"type\": \"feature\",\n      \"id\": 910,\n   "}
{"subject": "math:Adiabatic_quantum_computation", "predicate": "proves", "object": "adiabatic quantum computation (aqc) is a form of quantum computing which relies on the adiabatic the"}
{"subject": "math:Steiner\u2013Lehmus_theorem", "predicate": "proves", "object": "the steiner\u2013lehmus theorem, a theorem in elementary geometry, was formulated by c. l. lehmus and sub"}
{"subject": "math:Positronium_hydride", "predicate": "proves", "object": "positronium hydride, or hydrogen positride is an exotic molecule consisting of a hydrogen atom bound"}
{"subject": "math:C._L._Lehmus", "predicate": "proves", "object": "daniel christian ludolph lehmus (july 3, 1780 in soest \u2013 january 18, 1863 in berlin) was a german ma"}
{"subject": "math:Pivaloyloxymethyl", "predicate": "proves", "object": "pivaloyloxymethyl (pom, pivoxil, pivoxyl) is a protecting group used in organic synthesis.  the pom "}
{"subject": "math:Hydrated_silica", "predicate": "proves", "object": "hydrated silica is a form of silicon dioxide, which has a variable amount of water in the formula.  "}
{"subject": "math:Eilenberg\u2013Mazur_swindle", "predicate": "proves", "object": "in mathematics, the eilenberg\u2013mazur swindle, named after samuel eilenberg and barry mazur, is a meth"}
{"subject": "math:Oleg_Viro", "predicate": "proves", "object": "oleg yanovich viro () (b. 13 may 1948, leningrad, ussr) is a russian mathematician in the fields of "}
{"subject": "math:Autonomous_convergence_theorem", "predicate": "proves", "object": "in mathematics, an autonomous convergence theorem is one of a family of related  theorems which spec"}
{"subject": "math:Stars_and_bars_(combinatorics)", "predicate": "proves", "object": "in the context of combinatorial mathematics, stars and bars (also called \"sticks and stones\", \"balls"}
{"subject": "math:2002_FIFA_World_Cup_seeding", "predicate": "proves", "object": "to calculate the seeding for the 2002 fifa world cup, fifa used the fifa world rankings in combinati"}
{"subject": "math:Radicial_morphism", "predicate": "proves", "object": "in algebraic geometry, a morphism of schemes\nf:\u00a0x \u2192 y\nis called radicial or universally injective, i"}
{"subject": "math:Proof_mining", "predicate": "proves", "object": "in proof theory, a branch of mathematical logic, proof mining (or proof unwinding) is a research pro"}
{"subject": "math:Taft_equation", "predicate": "proves", "object": "the taft equation is a linear free energy relationship (lfer) used in physical organic chemistry in "}
{"subject": "math:CJ_Gibson", "predicate": "proves", "object": "cj gibson (born november 30, 1983 in clearwater, florida) is an american model and actress of filipi"}
{"subject": "math:Toro_Rosso_STR3", "predicate": "proves", "object": "the toro rosso str3 is a formula one car which scuderia toro rosso used in the 2008 formula one seas"}
{"subject": "math:Trans-1,2-Diaminocyclohexane", "predicate": "proves", "object": "trans-1,2-diaminocyclohexane is an organic compound with the formula c6h10(nh2)2. this diamine is a "}
{"subject": "math:Fortissimo_(disambiguation)", "predicate": "proves", "object": "fortissimo is a term in music dynamics meaning \"to be played very loudly.\" \n\nfortissimo may also ref"}
{"subject": "math:Octanal", "predicate": "proves", "object": "octanal is the organic compound, an aldehyde, with the chemical formula ch3(ch2)6cho. a colorless fr"}
{"subject": "math:Conductance_(graph)", "predicate": "proves", "object": "in graph theory the conductance of a graph  measures how \"well-knit\" the graph is: it controls how f"}
{"subject": "math:Goldbach\u2013Euler_theorem", "predicate": "proves", "object": "in mathematics, the goldbach\u2013euler theorem (also known as goldbach's theorem), states that the sum o"}
{"subject": "math:Pragmatic_maxim", "predicate": "proves", "object": "the pragmatic maxim, also known as the maxim of pragmatism or the maxim of pragmaticism, is a maxim "}
{"subject": "math:Den_Bl\u00e5_Avis", "predicate": "proves", "object": "den bl\u00e5 avis was a danish auto racing team, who competed in the fia formula 3000 championship. the t"}
{"subject": "math:Kawasaki's_theorem", "predicate": "proves", "object": "kawasaki's theorem or kawasaki\u2013justin theorem is a theorem in the mathematics of paper folding that "}
{"subject": "math:Decanal", "predicate": "proves", "object": "decanal is an organic compound classified as an aldehyde with the chemical formula c10h20o.\n\noccurre"}
{"subject": "math:Pyrheliometer", "predicate": "proves", "object": "a pyrheliometer is an instrument that can measure direct beam solar irradiance. sunlight enters the "}
{"subject": "math:List_of_incomplete_proofs", "predicate": "proves", "object": "this page lists notable examples of incomplete published mathematical proofs. most of these  were ac"}
{"subject": "math:Tris(ethylenediamine)cobalt(III)_chloride", "predicate": "proves", "object": "tris(ethylenediamine)cobalt(iii) chloride is an inorganic compound with the formula [co(en)3]cl3 (wh"}
{"subject": "math:List_of_Canadian_Formula_Fords", "predicate": "proves", "object": "several formula ford racing cars have been designed or built in canada.\n\nreferences\n\nmotorsport in c"}
{"subject": "math:Jo\u00e3o_Urbano", "predicate": "proves", "object": "jo\u00e3o urbano (born 30 july 1985) is a portuguese racing driver.\n\ncareer \n\nin 2005, urbano participate"}
{"subject": "math:Erik_Jani\u0161", "predicate": "proves", "object": "erik jani\u0161 (born 23 september 1987) is czech racing driver, currently driving in international formu"}
{"subject": "math:Iltyd_Nicholl_Clayton", "predicate": "proves", "object": "brigadier sir iltyd nicholl clayton  (15 september 1886 \u2013 30 june 1955) was a british army officer n"}
{"subject": "math:Barium_bromide", "predicate": "proves", "object": "barium bromide is the chemical compound with the formula babr2. it is ionic and hygroscopic in natur"}
{"subject": "math:Untomia", "predicate": "proves", "object": "untomia is a genus of moths in the family gelechiidae.\n\nspecies\n untomia acicularis meyrick, 1918\n u"}
{"subject": "math:Cylindrical_harmonics", "predicate": "proves", "object": "in mathematics, the cylindrical harmonics are a set of linearly independent functions that are solut"}
{"subject": "math:1999_Australian_Drivers'_Championship", "predicate": "proves", "object": "the 1999 australian drivers' championship was a cams sanctioned motor racing title open to drivers o"}
{"subject": "math:Alexander_Khateeb", "predicate": "proves", "object": "alexander abdelmajeed (alex) khateeb (born 8 june 1984) is a british racing driver, currently drivin"}
{"subject": "math:Runs_produced", "predicate": "proves", "object": "runs produced is a baseball statistic that can help estimate the number of runs a hitter contributes"}
{"subject": "math:Artstein's_theorem", "predicate": "proves", "object": "artstein's theorem states that a nonlinear dynamical system in the control-affine form\n\nhas a differ"}
{"subject": "math:Ordinal_definable_set", "predicate": "proves", "object": "in mathematical set theory, a set s is said to be ordinal definable if, informally, it can be define"}
{"subject": "math:Countably_generated", "predicate": "proves", "object": "in mathematics, the term countably generated can have several meanings:\n an algebraic structure (gro"}
{"subject": "math:C7H14O", "predicate": "proves", "object": "{{displaytitle:c7h14o}}\nthe molecular formula c7h14o (molar mass: 114.18 g/mol) may refer to:\n\n cycl"}
{"subject": "math:Melem", "predicate": "proves", "object": "in chemistry, melem is a compound with formula ; specifically, 2,5,8-triamino-heptazine or 2,5,8-tri"}
{"subject": "math:Monge's_theorem", "predicate": "proves", "object": "in geometry, monge's theorem, named after gaspard monge, states that for any three circles in a plan"}
{"subject": "math:1994_French_Grand_Prix", "predicate": "proves", "object": "the 1994 french grand prix was a formula one motor race held on 3 july 1994 at the circuit de nevers"}
{"subject": "math:Algebraic-group_factorisation_algorithm", "predicate": "proves", "object": "algebraic-group factorisation algorithms are algorithms for factoring an integer n by working in an "}
{"subject": "math:Penguinone", "predicate": "proves", "object": "penguinone is an organic compound with the molecular formula . its name comes from the fact that its"}
{"subject": "math:Radiative_transfer_equation_and_diffusion_theory_f", "predicate": "proves", "object": "photon transport in biological tissue can be equivalently modeled numerically with monte carlo simul"}
{"subject": "math:Josep_Dom\u00e8nech_i_Estap\u00e0", "predicate": "proves", "object": "josep dom\u00e8nech i estap\u00e0 (; tarragona, 1858 \u2013 cabrera de mar, 1917) was a catalan architect.\n\nhe grad"}
{"subject": "math:Damien_Faulkner", "predicate": "proves", "object": "damien faulkner (born 15 february 1977) is an irish race car driver from moville  county donegal.  b"}
{"subject": "math:Homocitric_acid", "predicate": "proves", "object": "homocitric acid is an organic compound with the formula hoc(co2h)(ch2co2h)(c2h4co2h).  this tricarbo"}
{"subject": "math:Follow_the_Rabbit-Proof_Fence", "predicate": "proves", "object": "follow the rabbit-proof fence is an australian book by doris pilkington, published in 1996. based on"}
{"subject": "math:Donald's_Dilemma", "predicate": "proves", "object": "donald's dilemma is a 1947 walt disney studios animated cartoon directed by jack king and starring d"}
{"subject": "math:Robert_Wickens", "predicate": "proves", "object": "robert tyler wickens (born march 13, 1989) is a canadian racing driver from guelph, ontario, driving"}
{"subject": "math:Honda_RA108", "predicate": "proves", "object": "the honda ra108 was the formula one racing car with which honda racing f1 contested the 2008 formula"}
{"subject": "math:Jerrygibbsite", "predicate": "proves", "object": "jerrygibbsite is a rare silicate mineral with the chemical formula .  jerrygibbsite was originally d"}
{"subject": "math:Principal_root_of_unity", "predicate": "proves", "object": "in mathematics, a principal n-th root of unity (where n is a positive integer) of a ring is an eleme"}
{"subject": "math:De_Longchamps_point", "predicate": "proves", "object": "in geometry, the de longchamps point of a triangle is a triangle center named after french mathemati"}
{"subject": "math:2002_NCAA_Division_I-A_football_rankings", "predicate": "proves", "object": "two human polls and one formulaic ranking make up the 2002 ncaa division i-a football rankings. unli"}
{"subject": "math:Ordered_geometry", "predicate": "proves", "object": "ordered geometry is a form of geometry featuring the concept of intermediacy (or \"betweenness\") but,"}
{"subject": "math:Pythagorean_addition", "predicate": "proves", "object": "in mathematics, pythagorean addition is a binary operation on the real numbers that computes the len"}
{"subject": "math:Pabstite", "predicate": "proves", "object": "pabstite is a barium tin titanium silicate mineral that is found in contact metamorphosed limestone."}
{"subject": "math:Atheneite", "predicate": "proves", "object": "atheneite is a rare palladium, mercury arsenide mineral with the chemical formula  associated with p"}
{"subject": "math:Toeplitz_algebra", "predicate": "proves", "object": "in operator algebras, the toeplitz algebra is the c*-algebra generated by the unilateral shift on th"}
{"subject": "math:Casey's_theorem", "predicate": "proves", "object": "in mathematics, casey's theorem, also known as the generalized ptolemy's theorem, is a theorem in eu"}
{"subject": "math:Coherent_topology", "predicate": "proves", "object": "in topology, a coherent topology is a topology that is uniquely determined by a family of subspaces."}
{"subject": "math:Santabarbaraite", "predicate": "proves", "object": "santabarbaraite is an amorphous ferric hydroxy phosphate mineral hydrate that was discovered in tusc"}
{"subject": "math:Penroseite", "predicate": "proves", "object": "penroseite is a rare selenide mineral with formula (ni,co,cu)se2. it has a gray-steel color and blac"}
{"subject": "math:Darboux's_formula", "predicate": "proves", "object": "in mathematical analysis, darboux's formula is a formula introduced by   for summing infinite series"}
{"subject": "math:Charouz_Racing_System", "predicate": "proves", "object": "charouz racing system (chrs, also was known as lotus in world series formula v8 3.5) is a racing tea"}
{"subject": "math:Panethite", "predicate": "proves", "object": "panethite, chemical formula , is a rare phosphate mineral that was only found in one meteorite on ea"}
{"subject": "math:Alexandrov_space", "predicate": "proves", "object": "in geometry, alexandrov spaces with curvature \u2265 k form a generalization of riemannian manifolds with"}
{"subject": "math:Jorge_Koechlin", "predicate": "proves", "object": "jorge koechlin von stein (born february 12, 1950 huacho, peru) is a former racing driver and magazin"}
{"subject": "math:Beurling_algebra", "predicate": "proves", "object": "in mathematics, the term beurling algebra is used for different algebras introduced by  , usually it"}
{"subject": "math:Geometric_flow", "predicate": "proves", "object": "in the mathematical field of differential geometry, a geometric flow, also called a geometric evolut"}
{"subject": "math:Pugh's_closing_lemma", "predicate": "proves", "object": "in mathematics, pugh's closing lemma is a result that links  periodic orbit solutions of  differenti"}
{"subject": "math:Benetton_B186", "predicate": "proves", "object": "the benetton b186 is a formula one racing car, built and raced by the benetton team for the 1986 for"}
{"subject": "math:Weierstrass_ring", "predicate": "proves", "object": "in mathematics, a weierstrass ring, named by nagata after karl weierstrass, is a commutative local r"}
{"subject": "math:Calcium_iodide", "predicate": "proves", "object": "calcium iodide (chemical formula cai2) is the ionic compound of calcium and iodine. this colourless "}
{"subject": "math:Biphenylene", "predicate": "proves", "object": "biphenylene is an organic compound with the formula (c6h4)2. it is a pale, yellowish solid with a ha"}
{"subject": "math:Henselian_ring", "predicate": "proves", "object": "in mathematics, a henselian ring (or hensel ring) is a  local ring in which hensel's lemma holds. th"}
{"subject": "math:Distributed_Proofreaders_Canada", "predicate": "proves", "object": "distributed proofreaders canada (dp canada) is a volunteer organization that transfers books into el"}
{"subject": "math:Polynomial_Diophantine_equation", "predicate": "proves", "object": "in mathematics, a polynomial diophantine equation is an indeterminate polynomial equation for which "}
{"subject": "math:Nisnevich_topology", "predicate": "proves", "object": "in algebraic geometry, the nisnevich topology, sometimes called the completely decomposed topology, "}
{"subject": "math:G\u00fcnter_M._Ziegler", "predicate": "proves", "object": "g\u00fcnter matthias ziegler (born 19 may 1963) is a german mathematician who has been serving as preside"}
{"subject": "math:Yamabe_flow", "predicate": "proves", "object": "in differential geometry, the yamabe flow is an intrinsic geometric flow\u2014a process which deforms the"}
{"subject": "math:Iberogast", "predicate": "proves", "object": "iberogast, also known as stw5, is a liquid formulation of nine herbs used for functional dyspepsia a"}
{"subject": "math:Magnesium_iodide", "predicate": "proves", "object": "magnesium iodide is an inorganic compound with the chemical formula . it forms various hydrates . ma"}
{"subject": "math:Cassutt_Special", "predicate": "proves", "object": "the cassutt special is a single-seat sport and racing aircraft designed in the united states in 1951"}
{"subject": "math:AMA_Formula_Xtreme", "predicate": "proves", "object": "formula xtreme was a professional racing class sanctioned by the american motorcyclist association. "}
{"subject": "math:Ministry_of_Finance_(Chile)", "predicate": "proves", "object": "the ministry of finance of chile () is the cabinet-level administrative office in charge of managing"}
{"subject": "math:Phil_Caliva", "predicate": "proves", "object": "phil caliva (born january 1, 1945 in palermo, sicily) is an italian-born american racing driver who "}
{"subject": "math:J._Peter_May", "predicate": "proves", "object": "jon peter may (born september 16, 1939 in new york) is an american mathematician working in the fiel"}
{"subject": "math:Spurrite", "predicate": "proves", "object": "spurrite is a white, yellow or light blue mineral with monoclinic crystals. its chemical formula is "}
{"subject": "math:Upwind_scheme", "predicate": "proves", "object": "in computational physics, the term upwind scheme (sometimes advection scheme) typically refers to a "}
{"subject": "math:Zussmanite", "predicate": "proves", "object": "zussmanite is a hydrated iron-rich silicate mineral with the chemical formula . it occurs as pale gr"}
{"subject": "math:Zygmunt_Zawirski", "predicate": "proves", "object": "zygmunt zawirski (29 july 1882 \u2013 2 april 1948) was a polish philosopher and logician.\n\nhis main fiel"}
{"subject": "math:Monadic_second-order_logic", "predicate": "proves", "object": "in mathematical logic, monadic second-order logic (mso) is the fragment of second-order logic where "}
{"subject": "math:Beryllium_bromide", "predicate": "proves", "object": "beryllium bromide is the chemical compound with the formula bebr2. it is very hygroscopic and dissol"}
{"subject": "math:Beryllium_iodide", "predicate": "proves", "object": "beryllium iodide is the inorganic compound with the formula bei2. it is a hygroscopic white solid.\n\n"}
{"subject": "math:Theta_solvent", "predicate": "proves", "object": "in a polymer solution, a theta solvent (or \u03b8 solvent) is a solvent in which polymer coils act like i"}
{"subject": "math:Cassandra_(metaphor)", "predicate": "proves", "object": "the cassandra metaphor (variously labeled the cassandra \"syndrome\", \"complex\", \"phenomenon\", \"predic"}
{"subject": "math:Top_Gear_test_track", "predicate": "proves", "object": "the top gear test track is used by the bbc automotive television programme top gear. it is located a"}
{"subject": "math:Double-negation_translation", "predicate": "proves", "object": "in proof theory, a discipline within mathematical logic, double-negation translation, sometimes call"}
{"subject": "math:Tarry_point", "predicate": "proves", "object": "in geometry, the tarry point  for a triangle  is a point of concurrency of the lines through the ver"}
{"subject": "math:Brocard_circle", "predicate": "proves", "object": "in geometry, the brocard circle (or seven-point circle) is a circle derived from a given triangle. i"}
{"subject": "math:Dragon_Steel", "predicate": "proves", "object": "dragon steel is a fantasy novel by american author laurence yep. it was first published in 1985 and "}
{"subject": "math:Alternating-direction_implicit_method", "predicate": "proves", "object": "in numerical linear algebra, the alternating-direction implicit (adi) method is an iterative method "}
{"subject": "math:Mark\u2013Houwink_equation", "predicate": "proves", "object": "the mark\u2013houwink equation, also known as the mark\u2013houwink\u2013sakurada equation or the kuhn\u2013mark\u2013houwink"}
{"subject": "math:Topological_indistinguishability", "predicate": "proves", "object": "in topology, two points of a topological space x are topologically indistinguishable if they have ex"}
{"subject": "math:1,4-Cyclohexanedione", "predicate": "proves", "object": "1,4-cyclohexanedione is an organic compound with the formula . this white solid is one of the three "}
{"subject": "math:Trace_diagram", "predicate": "proves", "object": "in mathematics, trace diagrams are a graphical means of performing computations in linear and multil"}
{"subject": "math:Birkhoff\u2013Grothendieck_theorem", "predicate": "proves", "object": "in mathematics, the birkhoff\u2013grothendieck theorem classifies holomorphic vector bundles over the com"}
{"subject": "math:Dean_Vetrock", "predicate": "proves", "object": "dean vetrock (born november 5, 1954) is a former american racing driver from racine, wisconsin.  he "}
{"subject": "math:Sodium_tetrafluoroborate", "predicate": "proves", "object": "sodium tetrafluoroborate is an inorganic compound with formula nabf4. it is a salt that forms colorl"}
{"subject": "math:Zeroth-order_logic", "predicate": "proves", "object": "zeroth-order logic is a branch of logic without variables or quantifiers. some authors use the phras"}
{"subject": "math:Nitronium_tetrafluoroborate", "predicate": "proves", "object": "nitronium tetrafluoroborate is an inorganic compound with formula no2bf4. it is a salt of nitronium "}
{"subject": "math:Mass_point", "predicate": "proves", "object": "mass point may refer to:\n mass point geometry\n point mass in physics\n the values of a probability ma"}
{"subject": "math:Minimal_effects_hypothesis", "predicate": "proves", "object": "in political science, the minimal effects hypothesis states that political campaigns only marginally"}
{"subject": "math:Pyotr_Tkachev", "predicate": "proves", "object": "pyotr nikitich tkachev (russian: \u043f\u0451\u0442\u0440 \u043d\u0438\u043a\u0438\u0301\u0442\u0438\u0447 \u0442\u043a\u0430\u0447\u0451\u0432; 29 june 1844 \u2013 4 january 1886) was a russian "}
{"subject": "math:Perfectly_normal", "predicate": "proves", "object": "perfectly normal may refer to:\n\nperfectly normal, a 1990 canadian comedy film directed by yves simon"}
{"subject": "math:MacDowell\u2013Mansouri_action", "predicate": "proves", "object": "the macdowell\u2013mansouri action (named after s. w. macdowell and freydoon mansouri) is an action that "}
{"subject": "math:Ministry_of_Manpower_(Singapore)", "predicate": "proves", "object": "the ministry of manpower (mom; ; ; ) is a ministry of the government of singapore responsible for th"}
{"subject": "math:Character_variety", "predicate": "proves", "object": "in the mathematics of moduli theory, given an algebraic, reductive, lie group  and a finitely genera"}
{"subject": "math:Sailing_at_the_2007_SEA_Games", "predicate": "proves", "object": "sailing at the 2007 sea games took place at the ocean marina yacht club and jomtien beach in thailan"}
{"subject": "math:Element_One", "predicate": "proves", "object": "element one is lawrence technological university's race team from detroit, michigan that competed in"}
{"subject": "math:Formula_Zero", "predicate": "proves", "object": "formula zero was an organization based out of amsterdam in the netherlands and was founded in 2003. "}
{"subject": "math:Ptolemy_Tompkins", "predicate": "proves", "object": "ptolemy tompkins (born 1962) is an american writer specializing in books describing the role of the "}
{"subject": "math:Aubin\u2013Lions_lemma", "predicate": "proves", "object": "in mathematics, the aubin\u2013lions lemma (or theorem) is the result in the theory of sobolev spaces of "}
{"subject": "math:Type_inhabitation", "predicate": "proves", "object": "in type theory, a branch of mathematical logic, in a given typed calculus, the type inhabitation pro"}
{"subject": "math:Proof/No_Vain", "predicate": "proves", "object": "\"proof/no vain\" is mell's second single under geneon entertainment. \"proof\" was used as the first en"}
{"subject": "math:Diketene", "predicate": "proves", "object": "diketene is an organic compound with the molecular formula , and which is sometimes written as .  it"}
{"subject": "math:Formula_Xtreme", "predicate": "proves", "object": "formula xtreme may refer to:\n ama formula xtreme, a defunct american professional motorcycle class\n "}
{"subject": "math:C._P._Ramanujam", "predicate": "proves", "object": "chakravarthi padmanabhan ramanujam (9 january 1938 \u2013 27 october 1974) was an indian mathematician wh"}
{"subject": "math:10-cube", "predicate": "proves", "object": "in geometry, a 10-cube is a ten-dimensional hypercube. it has 1024 vertices, 5120 edges, 11520 squar"}
{"subject": "math:Thomas_Archer_Hirst", "predicate": "proves", "object": "thomas archer hirst frs (22 april 1830 \u2013 16 february 1892) was a 19th-century english mathematician,"}
{"subject": "math:Boron_triiodide", "predicate": "proves", "object": "boron triiodide is a chemical compound of boron and iodine with chemical formula bi3. it has a trigo"}
{"subject": "math:Germanium_iodides", "predicate": "proves", "object": "germanium iodides are inorganic compound with the formula geix. two such compounds exist: germanium("}
{"subject": "math:Field_arithmetic", "predicate": "proves", "object": "in mathematics, field arithmetic is a subject that studies the interrelations between arithmetic pro"}
{"subject": "math:SPTAN1", "predicate": "proves", "object": "alpha ii-spectrin, also known as spectrin alpha chain, brain is a protein that in humans is encoded "}
{"subject": "math:Cronobacter", "predicate": "proves", "object": "cronobacter is a genus of gram-negative, facultatively anaerobic, oxidase-negative, catalase-positiv"}
{"subject": "math:Mark_Pollicott", "predicate": "proves", "object": "mark pollicott (born 24 september 1959) is a british mathematician known for his contributions to er"}
{"subject": "math:Ligier_JS27", "predicate": "proves", "object": "the ligier js27 was the formula one car used by french team ligier to compete in the  season.\n\ndescr"}
{"subject": "math:CLP(R)", "predicate": "proves", "object": "clp(r) is a declarative programming language. it stands for constraint logic programming (real) wher"}
{"subject": "math:Extraneous_and_missing_solutions", "predicate": "proves", "object": "in mathematics, an extraneous solution (or spurious solution) is a solution, such as that to an equa"}
{"subject": "math:Hardy\u2013Ramanujan_theorem", "predicate": "proves", "object": "in mathematics, the hardy\u2013ramanujan theorem, proved by ramanujan and checked by hardy states  that t"}
{"subject": "math:Crochet_thread", "predicate": "proves", "object": "crochet thread is specially formulated thread usually made from mercerized cotton for crafting decor"}
{"subject": "math:Talnakhite", "predicate": "proves", "object": "talnakhite is a mineral of chalcopyrite group with formula: cu9(fe, ni)8s16. it was named after the "}
{"subject": "math:FLNC_(gene)", "predicate": "proves", "object": "filamin-c (fln-c) also known as actin-binding-like protein (abpl) or filamin-2 (fln2) is a protein t"}
{"subject": "math:Jean-Fran\u00e7ois_Le_Gall", "predicate": "proves", "object": "jean-fran\u00e7ois le gall (born 15 november 1959) is a french mathematician working in areas of probabil"}
{"subject": "math:SGCB", "predicate": "proves", "object": "beta-sarcoglycan is a protein that in humans is encoded by the sgcb gene.\n\nthe dystrophin-glycoprote"}
{"subject": "math:Classical_modal_logic", "predicate": "proves", "object": "in modal logic, a classical modal logic l is any modal logic containing (as axiom or theorem) the du"}
{"subject": "math:Regular_modal_logic", "predicate": "proves", "object": "in modal logic, a regular modal logic is a modal logic containing (as axiom or theorem) the duality "}
{"subject": "math:Model_K_(calculator)", "predicate": "proves", "object": "the model k was an early 2-bit binary adder built in 1937 by bell labs scientist george stibitz as a"}
{"subject": "math:TREX1", "predicate": "proves", "object": "three prime repair exonuclease 1 is an enzyme that in humans is encoded by the trex1 gene.\n\nfunction"}
{"subject": "math:Russellite_(mineral)", "predicate": "proves", "object": "russellite is a bismuth tungstate mineral with the chemical formula bi2wo6. it crystallizes in the o"}
{"subject": "math:Ethenone", "predicate": "proves", "object": "in organic chemistry, ethenone is the formal name for ketene, an organic compound with formula  or  "}
{"subject": "math:Coherent_ring", "predicate": "proves", "object": "in mathematics, a (left) coherent ring is a ring in which every finitely generated left ideal is fin"}
{"subject": "math:Glass_batch_calculation", "predicate": "proves", "object": "glass batch calculation or glass batching is used to determine the correct mix of raw materials (bat"}
{"subject": "math:The_Craving_(1918_film)", "predicate": "proves", "object": "the craving is a 1918 american silent drama film written and directed by john and francis ford. a 35"}
{"subject": "math:1-Pentyne", "predicate": "proves", "object": "1-pentyne, an organic compound with the formula . it is a terminal alkyne, in fact the smallest that"}
{"subject": "math:British_Formula_Ford_Championship", "predicate": "proves", "object": "the british formula ford championship was an entry level single seater motor racing category, design"}
{"subject": "math:Tate's_algorithm", "predicate": "proves", "object": "in the theory of elliptic curves, tate's algorithm takes as input an integral model of an elliptic c"}
{"subject": "math:Compound_of_five_cuboctahedra", "predicate": "proves", "object": "in geometry, this uniform polyhedron compound is a composition of 5 cuboctahedra. it has icosahedral"}
{"subject": "math:Compound_of_five_octahemioctahedra", "predicate": "proves", "object": "in geometry, this uniform polyhedron compound is a composition of 5 octahemioctahedra, in the same v"}
{"subject": "math:Compound_of_three_cubes", "predicate": "proves", "object": "in geometry, the compound of three cubes is a uniform polyhedron compound formed from three cubes ar"}
{"subject": "math:Valerio_Scassellati", "predicate": "proves", "object": "valerio scassellati (born 24 july 1979 in gualdo tadino) is an italian racing driver.\n\ncareer\n\neuro "}
{"subject": "math:Mitchell's_group", "predicate": "proves", "object": "in mathematics, mitchell's group is a complex reflection group in 6 complex dimensions of order 108\u00a0"}
{"subject": "math:Minlos's_theorem", "predicate": "proves", "object": "in the mathematics of topological vector spaces, minlos's theorem states that a cylindrical measure "}
{"subject": "math:Artin\u2013Zorn_theorem", "predicate": "proves", "object": "in mathematics, the artin\u2013zorn theorem, named after emil artin and max zorn, states that any finite "}
{"subject": "math:Ministry_of_Technology_(Sri_Lanka)", "predicate": "proves", "object": "the ministry of technology (; ) is the cabinet ministry of the government of sri lanka that directs "}
{"subject": "math:Coherence_condition", "predicate": "proves", "object": "in mathematics, and particularly category theory, a coherence condition is a collection of condition"}
{"subject": "math:Trace_identity", "predicate": "proves", "object": "in mathematics, a trace identity is any equation involving the trace of a matrix.\n\nproperties\n\ntrace"}
{"subject": "math:Tsunami-proof_building", "predicate": "proves", "object": "a tsunami-proof building is a purposefully designed building which will, through its design integrit"}
{"subject": "math:Alessandro_Piccolo_(racing_driver)", "predicate": "proves", "object": "alessandro piccolo (born october 17, 1980) is an italian racing driver.\n\ncareer\n\nformula renault\npic"}
{"subject": "math:Red_Sea_Dam", "predicate": "proves", "object": "the red sea dam is a speculative macro-engineering proposal put forward in 2007 by a group of scient"}
{"subject": "math:McShane", "predicate": "proves", "object": "mcshane may refer to:\n\n mcshane (name) \n mcshane bell foundry, church bell manufacturer, located in "}
{"subject": "math:Dominance_order", "predicate": "proves", "object": "in discrete mathematics, dominance order (synonyms: dominance ordering, majorization order, natural "}
{"subject": "math:Algebraic_combinatorics", "predicate": "proves", "object": "algebraic combinatorics is an area of mathematics that employs methods of abstract algebra, notably "}
{"subject": "math:Journal_of_Algebraic_Combinatorics", "predicate": "proves", "object": "journal of algebraic combinatorics is a peer-reviewed scientific journal covering algebraic combinat"}
{"subject": "math:Journal_of_Algebra", "predicate": "proves", "object": "journal of algebra (issn 0021-8693) is an international mathematical research journal in algebra. an"}
{"subject": "math:Lusin_space", "predicate": "proves", "object": "in mathematics, a lusin space or luzin space, named for n. n. luzin, may mean:\n in general topology,"}
{"subject": "math:Finite_model_property", "predicate": "proves", "object": "in mathematical logic, a logic l has the finite model property (fmp for short) if any non-theorem of"}
{"subject": "math:Formula_One_Indoor_Trophy", "predicate": "proves", "object": "the formula one indoor trophy or trofeo indoor formula one was a non-championship formula one sprint"}
{"subject": "math:1996_Formula_One_Indoor_Trophy", "predicate": "proves", "object": "the 1996 formula one indoor trophy took place on december 7\u20138 at the bologna motor show. the winner "}
{"subject": "math:1995_Formula_One_Indoor_Trophy", "predicate": "proves", "object": "the 1995 formula one indoor trophy took place on december 7\u20138 at the bologna motor show. the winner "}
{"subject": "math:1993_Formula_One_Indoor_Trophy", "predicate": "proves", "object": "the 1993 formula one indoor trophy took place on december 4\u20135 at the bologna motor show. the winner "}
{"subject": "math:1992_Formula_One_Indoor_Trophy", "predicate": "proves", "object": "the 1992 formula one indoor trophy took place on december 7\u20138 at the bologna motor show. the winner "}
{"subject": "math:Juan_Mar\u00eda_Traverso", "predicate": "proves", "object": "juan mar\u00eda \"flaco\" traverso (born 28 december 1950 in ramallo, buenos aires province), is a retired "}
{"subject": "math:1991_Formula_One_Indoor_Trophy", "predicate": "proves", "object": "the 1991 formula one indoor trophy took place on december 7\u20138 at the bologna motor show. the winner "}
{"subject": "math:1990_Formula_One_Indoor_Trophy", "predicate": "proves", "object": "the 1990 formula one indoor trophy took place on december 8\u20139 at the bologna motor show. the winner "}
{"subject": "math:Pontcharra", "predicate": "proves", "object": "pontcharra (; ) is a commune in the is\u00e8re department in southeastern france.\n\npopulation\n\npersonalit"}
{"subject": "math:Dune_(software)", "predicate": "proves", "object": "dune (distributed and unified numerics environment) is a modular c++ library for the solution of par"}
{"subject": "math:The_Formula_(album)", "predicate": "proves", "object": "the formula is the second collaborative studio album by american rapper buckshot and record producer"}
{"subject": "math:Prismatic_compound_of_antiprisms", "predicate": "proves", "object": "in geometry, a prismatic compound of antiprism is a category of uniform polyhedron compound. each me"}
{"subject": "math:Johnson\u2013Lindenstrauss_lemma", "predicate": "proves", "object": "in mathematics, the johnson\u2013lindenstrauss lemma is a result named after william b. johnson and joram"}
{"subject": "math:Matt_Kaufmann", "predicate": "proves", "object": "matt kaufmann is a senior research scientist in the department of computer sciences at the universit"}
{"subject": "math:Moufang_plane", "predicate": "proves", "object": "in geometry, a moufang plane, named for ruth moufang, is a type of projective plane, more specifical"}
{"subject": "math:TRISPHAT", "predicate": "proves", "object": "trisphat (full name tris(tetrachlorocatecholato)phosphate(1\u2212)) is an inorganic anion with the formul"}
{"subject": "math:Transport_theory", "predicate": "proves", "object": "transport theory may refer to:\n\nlinear transport theory, the study of equations describing the migra"}
{"subject": "math:FXYD1", "predicate": "proves", "object": "phospholemman (plm) is a protein that in humans is encoded by the fxyd1 gene.\n\nthis gene encodes a m"}
{"subject": "math:Brocard_triangle", "predicate": "proves", "object": "in geometry, the brocard triangle of a triangle is a triangle formed by the intersection of lines fr"}
{"subject": "math:Aix-les-Bains_Circuit_du_Lac", "predicate": "proves", "object": "aix-les-bains, savoie, france had a race track, called circuit du lac, which hosted formula 2, formu"}
{"subject": "math:Isopropyl_iodide", "predicate": "proves", "object": "isopropyl iodide is the organoiodine compound with the formula (ch3)2chi.  it is colorless, flammabl"}
{"subject": "math:Weyl_connection", "predicate": "proves", "object": "in differential geometry, a weyl connection (also called a weyl structure) is a generalization of th"}
{"subject": "math:John_Richards_(racing_driver)", "predicate": "proves", "object": "john richards (born october 27, 1948) is a former american racing driver from waco, texas.  a former"}
{"subject": "math:Ren\u00e9_de_Saussure", "predicate": "proves", "object": "ren\u00e9 de saussure (17 march 1868 \u2013 2 december 1943) was a swiss esperantist and professional mathemat"}
{"subject": "math:N-Propyl_chloride", "predicate": "proves", "object": "n-propyl chloride (also 1-propyl chloride or 1-chloropropane) is a colorless, flammable chemical com"}
{"subject": "math:Fontenoy_(novel)", "predicate": "proves", "object": "published in 2005, fontenoy is the third novel by the irish novelist liam mac c\u00f3il, and a winner of "}
{"subject": "math:Maximum_allowable_operating_pressure", "predicate": "proves", "object": "maximum allowable operating pressure or maop is a pressure limit set, usually by a government body, "}
{"subject": "math:N-Propyl_iodide", "predicate": "proves", "object": "n-propyl iodide (also 1-propyl iodide or 1-iodopropane) is a colorless, flammable chemical compound."}
{"subject": "math:Ethyl_iodide", "predicate": "proves", "object": "ethyl iodide (also iodoethane) is a colorless flammable chemical compound. it has the chemical formu"}
{"subject": "math:Condor_Shoestring", "predicate": "proves", "object": "\n\nthe condor k-10 shoestring (originally known as the ast special and the mercury air shoestring) wa"}
{"subject": "math:1-Bromopropane", "predicate": "proves", "object": "1-bromopropane (n-propylbromide or npb) is an organobromine compound with the chemical formula ch3ch"}
{"subject": "math:Fuhrmann_circle", "predicate": "proves", "object": "__notoc__\n\nin geometry, the fuhrmann circle of a triangle, named after the german wilhelm fuhrmann ("}
{"subject": "math:Jackie_Stewart_(disambiguation)", "predicate": "proves", "object": "jackie stewart (born 1939) is a former formula one world champion racing driver\n\njackie stewart may "}
{"subject": "math:1,1-Dibromoethane", "predicate": "proves", "object": "1,1-dibromoethane is a clear, slightly brown, flammable chemical compound. it is classified as the o"}
{"subject": "math:Chip_Mead", "predicate": "proves", "object": "harry talbott \"chip\" mead, jr. (march 17, 1950 \u2013 march 31, 1993) was an american racing driver from "}
{"subject": "math:Lead(II)_bromide", "predicate": "proves", "object": "lead(ii) bromide is the inorganic compound with the formula pbbr2. it is a white powder.  it is prod"}
{"subject": "math:Sociology_of_emotions", "predicate": "proves", "object": "the sociology of emotions applies sociological theorems and techniques to the study of human emotion"}
{"subject": "math:Simon_Sunatori", "predicate": "proves", "object": "simon sunatori (born january 10, 1959) is a canadian engineer, inventor and entrepreneur, known for "}
{"subject": "math:Disodium_malonate", "predicate": "proves", "object": "disodium malonate is a sodium salt of malonic acid with the chemical formula ch2(coona)2. it is a wh"}
{"subject": "math:Markov's_principle", "predicate": "proves", "object": "markov's principle, named after andrey markov jr, is a conditional existence statement for which the"}
{"subject": "math:1989_Formula_One_Indoor_Trophy", "predicate": "proves", "object": "the 1989 formula one indoor trophy took place on december 2\u20133 at the bologna motor show. the winner "}
{"subject": "math:1988_Formula_One_Indoor_Trophy", "predicate": "proves", "object": "the 1988 formula one indoor trophy took place on december 7\u20138 at the bologna motor show. the winner "}
{"subject": "math:Decagrammic_prism", "predicate": "proves", "object": "in geometry, the decagrammic prism is one of an infinite set of nonconvex prisms formed by squares s"}
{"subject": "math:Cleaver_(geometry)", "predicate": "proves", "object": "in geometry, a cleaver of a triangle is a line segment that bisects the perimeter of the triangle an"}
{"subject": "math:Samaritan's_dilemma", "predicate": "proves", "object": "the samaritan's dilemma is a dilemma in the act of charity. it hinges on the idea that when presente"}
{"subject": "math:Topology_of_the_World_Wide_Web", "predicate": "proves", "object": "world wide web topology is the network topology of the world wide web, as seen as a network of web p"}
{"subject": "math:Mittenpunkt", "predicate": "proves", "object": "in geometry, the  (from german: middle point) of a triangle is a triangle center: a point defined fr"}
{"subject": "math:Fitting_length", "predicate": "proves", "object": "in mathematics, specifically in the area of algebra known as group theory, the fitting length (or ni"}
{"subject": "math:Siderophyllite", "predicate": "proves", "object": "siderophyllite is a rare member of the mica group of silicate minerals with formula kfe2+2al(al2si2)"}
{"subject": "math:Hanner's_inequalities", "predicate": "proves", "object": "in mathematics, hanner's inequalities are results in the theory of lp spaces. their proof was publis"}
{"subject": "math:Stranahan's_Colorado_Whiskey", "predicate": "proves", "object": "stranahan's colorado whiskey is a 94 proof, small batch whiskey distilled in denver, colorado. stran"}
{"subject": "math:TableCurve_2D", "predicate": "proves", "object": "tablecurve 2d is a linear and non-linear curve fitting software package for engineers and scientists"}
{"subject": "math:Trisected_perimeter_point", "predicate": "proves", "object": "in geometry, given a triangle abc, there exist unique points a\u00b4, b\u00b4, and c\u00b4 on the sides bc, ca, ab "}
{"subject": "math:TableCurve_3D", "predicate": "proves", "object": "tablecurve 3d is a linear and non-linear surface fitting software package for engineers and scientis"}
{"subject": "math:Splitter_(geometry)", "predicate": "proves", "object": "in euclidean geometry, a splitter is a line segment through one of the vertices of a triangle (that "}
{"subject": "math:Iwasawa_manifold", "predicate": "proves", "object": "in mathematics, in the field of  differential geometry, an iwasawa manifold is a compact quotient of"}
{"subject": "math:Mandart_inellipse", "predicate": "proves", "object": "in geometry, the mandart inellipse of a triangle is an ellipse that is inscribed within the triangle"}
{"subject": "math:Rabinowitsch_trick", "predicate": "proves", "object": "in mathematics, the rabinowitsch trick, introduced by ,\nis a short way of proving the general case o"}
{"subject": "math:Lamp_rerating", "predicate": "proves", "object": "lamp rerating is modelling the predicted properties of a filament lamp when running the lamp at a vo"}
{"subject": "math:Secondary_flow", "predicate": "proves", "object": "in fluid dynamics, flow can be decomposed into primary flow plus secondary flow, a relatively weaker"}
{"subject": "math:Herman_Baer", "predicate": "proves", "object": "herman baer (born of jewish parents in herxheim, germany, jan. 29, 1830; died charleston, south caro"}
{"subject": "math:British_Formula_3000", "predicate": "proves", "object": "the british formula 3000 championship, alternatively known as the british formula two championship, "}
{"subject": "math:Knaster\u2013Kuratowski_fan", "predicate": "proves", "object": "in topology, a branch of mathematics, the knaster\u2013kuratowski fan (named after polish mathematicians "}
{"subject": "math:Diethyl_sulfide", "predicate": "proves", "object": "diethyl sulfide (british english: diethyl sulphide) is an organosulfur compound with the chemical fo"}
{"subject": "math:Sl2-triple", "predicate": "proves", "object": "in the theory of lie algebras, an  sl2-triple is a triple of elements of a lie algebra that satisfy "}
{"subject": "math:Steinberg_group_(K-theory)", "predicate": "proves", "object": "in algebraic k-theory, a field of mathematics, the steinberg group  of a ring  is the universal cent"}
{"subject": "math:Victor_Ginzburg", "predicate": "proves", "object": "victor ginzburg (born 1957) is a russian american mathematician who works in representation theory a"}
{"subject": "math:\u71d2\u9152", "predicate": "proves", "object": "\u71d2\u9152 or \u71d2\u914e (literally: burned [distilled] liquor) is the name for several types of distilled beverages"}
{"subject": "math:Encyclopedia_of_Triangle_Centers", "predicate": "proves", "object": "the encyclopedia of triangle centers (etc) is an online list of thousands of points or \"centers\" ass"}
{"subject": "math:2-Pyrone", "predicate": "proves", "object": "2-pyrone (\u03b1-pyrone or pyran-2-one) is an unsaturated cyclic chemical compound with the molecular for"}
{"subject": "math:C4H4O2", "predicate": "proves", "object": "the molecular formula c4h4o2 may refer to:\n\ncycloprop-2-ene carboxylic acid\ndiketene\ndioxins\n1,2-dio"}
{"subject": "math:Judgment_(mathematical_logic)", "predicate": "proves", "object": "in mathematical logic, a judgment (or judgement) or assertion is a statement or enunciation in a met"}
{"subject": "math:1982_Australian_Formula_2_Championship", "predicate": "proves", "object": "the 1982 australian formula 2 championship was a cams sanctioned australian motor racing title open "}
{"subject": "math:Formula_Regional_Oceania_Championship", "predicate": "proves", "object": "the formula regional oceania championship is new zealand's premier formula racing category. the seri"}
{"subject": "math:Suslin's_theorem", "predicate": "proves", "object": "in mathematics, suslin's theorem may refer to:\nthe quillen\u2013suslin theorem (formerly the serre conjec"}
{"subject": "math:Digallane", "predicate": "proves", "object": "digallane (systematically named digallane(6)) is an inorganic compound with the chemical formula  (a"}
{"subject": "math:George_Chamberlin", "predicate": "proves", "object": "sir george moore chamberlin (1846\u20131928) was a prominent norfolk businessman. the firm of chamberlin "}
{"subject": "math:4-Pyrone", "predicate": "proves", "object": "4-pyrone (\u03b3-pyrone or pyran-4-one) is an unsaturated cyclic chemical compound with the molecular for"}
{"subject": "math:Universal_Soil_Loss_Equation", "predicate": "proves", "object": "the universal soil loss equation (usle) is a widely used mathematical model that describes soil eros"}
{"subject": "math:Thomas_A._Greene_Memorial_Museum", "predicate": "proves", "object": "the thomas a. greene memorial museum, also known as greene geological museum or greene museum, is a "}
{"subject": "math:Gustav_Becker_House", "predicate": "proves", "object": "the gustav becker house is located at 2408 van buren avenue, in ogden, utah, united states.  it was "}
{"subject": "math:Inverse_curve", "predicate": "proves", "object": "in inversive geometry, an inverse curve of a given curve  is the result of applying an inverse opera"}
{"subject": "math:Semi-s-cobordism", "predicate": "proves", "object": "in mathematics, a cobordism (w, m, m\u2212) of an (n\u00a0+\u00a01)-dimensional manifold (with boundary) w between "}
{"subject": "math:Degasperis\u2013Procesi_equation", "predicate": "proves", "object": "in mathematical physics, the degasperis\u2013procesi equation\n\n \n\nis one of only two exactly solvable equ"}
{"subject": "math:Nicolas_Todt", "predicate": "proves", "object": "nicolas todt (born 17 november 1977 in le chesnay, yvelines) is a french motorsport team owner. he i"}
{"subject": "math:Jordanite", "predicate": "proves", "object": "jordanite is a sulfosalt mineral with chemical formula  in the monoclinic crystal system, named afte"}
{"subject": "math:Piemontite", "predicate": "proves", "object": "piemontite is a sorosilicate mineral in the monoclinic crystal system with the chemical formula . it"}
{"subject": "math:West_Coast_Magazine", "predicate": "proves", "object": "west coast magazine (1987\u20131998) was a three times a year scottish literary publication consisting of"}
{"subject": "math:Sampling_design", "predicate": "proves", "object": "in the theory of finite population sampling, a sampling design specifies for every possible sample i"}
{"subject": "math:Direct_limit_of_groups", "predicate": "proves", "object": "in mathematics, a direct limit of groups is the direct limit of a  of groups. these are central obje"}
{"subject": "math:Leapfrog_integration", "predicate": "proves", "object": "in numerical analysis, leapfrog integration is a method for numerically integrating differential equ"}
{"subject": "math:Sergio_Dorantes", "predicate": "proves", "object": "sergio dorantes zurita (born 1946) is a mexican photojournalist.\n\nlife and work\nborn in the outskirt"}
{"subject": "math:Coase_conjecture", "predicate": "proves", "object": "the coase conjecture, developed first by ronald coase, is an argument in  monopoly theory. the conje"}
{"subject": "math:Rice\u2013Shapiro_theorem", "predicate": "proves", "object": "in computability theory, the rice\u2013shapiro theorem is a generalization of rice's theorem, and is name"}
{"subject": "math:Shire_of_Wycheproof", "predicate": "proves", "object": "the shire of wycheproof was a local government area about  northwest of bendigo in northwestern vict"}
{"subject": "math:Range_space", "predicate": "proves", "object": "the term range space has multiple meanings in mathematics:\n\n in linear algebra, it refers to the col"}
{"subject": "math:Cone_of_curves", "predicate": "proves", "object": "in mathematics, the cone of curves (sometimes the kleiman-mori cone) of an algebraic variety  is a c"}
{"subject": "math:Dioxirane", "predicate": "proves", "object": "in chemistry, dioxirane (systematically named dioxacyclopropane, also known as methylene peroxide or"}
{"subject": "math:Botallackite", "predicate": "proves", "object": "botallackite, chemical formula cu2(oh)3cl is a secondary copper mineral, named for its type locality"}
{"subject": "math:Six_exponentials_theorem", "predicate": "proves", "object": "in mathematics, specifically transcendental number theory, the six exponentials theorem is a result "}
{"subject": "math:Four_exponentials_conjecture", "predicate": "proves", "object": "in mathematics, specifically the field of transcendental number theory, the four exponentials conjec"}
{"subject": "math:Blackhead_(New_York)", "predicate": "proves", "object": "{\n  \"type\": \"featurecollection\",\n  \"features\": [\n    {\n      \"type\": \"feature\",\n      \"properties\": "}
{"subject": "math:Diphosphane", "predicate": "proves", "object": "diphosphane, or diphosphine, is an inorganic compound with the chemical formula p2h4.  this colourle"}
{"subject": "math:Parachor", "predicate": "proves", "object": "parachor is a quantity related to surface tension that was proposed by s. sugden in 1924. it is defi"}
{"subject": "math:Malewicki_equations", "predicate": "proves", "object": "the malewicki equations (or fehskens\u2013malewicki equations) for sub-sonic endo-atmospheric rocket flig"}
{"subject": "math:Jaffeite", "predicate": "proves", "object": "jaffeite is a hydrated calcium silicate with the following chemical formula:\n\noccurrence\nthe mineral"}
{"subject": "math:Michel_Frutschi", "predicate": "proves", "object": "michel frutschi (6 january 1953 \u2013 3 april 1983) was a swiss professional grand prix motorcycle road "}
{"subject": "math:Ministry_of_Trade_and_Industry_(Singapore)", "predicate": "proves", "object": "the ministry of trade and industry (mti; ; ; ) is a ministry of the government of singapore responsi"}
{"subject": "math:Pentolinium", "predicate": "proves", "object": "pentolinium is a ganglionic blocking agent which acts as a nicotinic acetylcholine receptor antagoni"}
{"subject": "math:Noflan", "predicate": "proves", "object": "noflan is a flame retardant chemical. it was developed in the 1980s by the moscow state textile univ"}
{"subject": "math:Minimal_model_program", "predicate": "proves", "object": "in algebraic geometry, the minimal model program is part of the birational classification of algebra"}
{"subject": "math:Ryan_VZ-3_Vertiplane", "predicate": "proves", "object": "the ryan vz-3 vertiplane, also known by the company designation ryan model 92 was an american experi"}
{"subject": "math:Ministry_of_National_Development_(Singapore)", "predicate": "proves", "object": "the ministry of national development (mnd; ; ; ) is a ministry of the government of singapore respon"}
{"subject": "math:National_Council_on_Disability_Affairs_(Philippine", "predicate": "proves", "object": "the philippines' national council on disability affairs (ncda) (formerly national council for the we"}
{"subject": "math:Neil_Trudinger", "predicate": "proves", "object": "neil sidney trudinger (born 20 june 1942) is an australian mathematician, known particularly for his"}
{"subject": "math:BRM_Type_15", "predicate": "proves", "object": "the brm type 15 was a formula one racing car of the early 1950s, and the first car produced by briti"}
{"subject": "math:Circuit_des_Remparts", "predicate": "proves", "object": "circuit des remparts is a historic race circuit in angoul\u00eame, france, using the town's ancient road "}
{"subject": "math:Involution", "predicate": "proves", "object": "involution may refer to:\n\n involute, a construction in the differential geometry of curves\n agricult"}
{"subject": "math:Circuit_des_Nations", "predicate": "proves", "object": "the circuit des nations (\"circuit of the nations\") is a long street circuit of  between lake geneva "}
{"subject": "math:Korn's_inequality", "predicate": "proves", "object": "in mathematical analysis, korn's inequality is an inequality concerning the gradient of a vector fie"}
{"subject": "math:Michael_Patrizi", "predicate": "proves", "object": "michael patrizi (born 4 may 1984) is an australian racing driver.\n\nbiography\nstarting off in karts i"}
{"subject": "math:Micha_Sharir", "predicate": "proves", "object": "micha sharir (; born 8 june 1950 in tel aviv, israel) is an israeli mathematician and computer scien"}
{"subject": "math:Michael_Roe_(racing_driver)", "predicate": "proves", "object": "michael roe (born 8 august 1955) is a former racing driver from naas, ireland.\n\nroe began racing in "}
{"subject": "math:Curiosity_quotient", "predicate": "proves", "object": "curiosity quotient is a term put forth by author and journalist thomas l. friedman as part of an ill"}
{"subject": "math:Mathieu_group_M11", "predicate": "proves", "object": "{{displaytitle:mathieu group m11}}\n\nin the area of modern algebra known as group theory, the mathieu"}
{"subject": "math:Mathieu_group_M12", "predicate": "proves", "object": "{{displaytitle:mathieu group m12}}\n\nin the area of modern algebra known as group theory, the mathieu"}
{"subject": "math:Mathieu_group_M22", "predicate": "proves", "object": "{{displaytitle:mathieu group m22}}\n\nin the area of modern algebra known as group theory, the mathieu"}
{"subject": "math:Mathieu_group_M23", "predicate": "proves", "object": "{{displaytitle:mathieu group m23}}\n\nin the area of modern algebra known as group theory, the mathieu"}
{"subject": "math:Mathieu_group_M24", "predicate": "proves", "object": "{{displaytitle:mathieu group m24}}\n\nin the area of modern algebra known as group theory, the mathieu"}
{"subject": "math:Poromyidae", "predicate": "proves", "object": "poromyidae is a family of saltwater clams, marine bivalve molluscs in the order anomalodesmata. the "}
{"subject": "math:Luxembourg_passport", "predicate": "proves", "object": "a luxembourg passport (; ; ) is an international travel document issued to nationals of the grand du"}
{"subject": "math:Albanian_passport", "predicate": "proves", "object": "the albanian passport (albanian: pasaporta e shqip\u00ebris\u00eb) is a travel document issued by the ministry"}
{"subject": "math:Central_series", "predicate": "proves", "object": "in mathematics, especially in the fields of group theory and lie theory, a central series is a kind "}
{"subject": "math:Lithium_cobalt_oxide", "predicate": "proves", "object": "lithium cobalt oxide, sometimes called lithium cobaltate or lithium cobaltite, is a chemical compoun"}
{"subject": "math:Integral_Transforms_and_Special_Functions", "predicate": "proves", "object": "integral transforms and special functions is a monthly peer-reviewed scientific journal, specialised"}
{"subject": "math:Analyse_des_Infiniment_Petits_pour_l'Intelligence_", "predicate": "proves", "object": "analyse des infiniment petits pour l'intelligence des lignes courbes (literal translation: analysis "}
{"subject": "math:Chris_Stockton", "predicate": "proves", "object": "christopher john stockton (born 5 april 1969) is a british racing driver, who is known for his effor"}
{"subject": "math:Tert-Butyl_formate", "predicate": "proves", "object": "tert-butyl formate, also known as formic acid tert-butylester and tbf, is a chemical compound with m"}
{"subject": "math:Borland_Racing_Developments", "predicate": "proves", "object": "borland racing developments is an australian championship winning manufacturer of open-wheel racing "}
{"subject": "math:CAMS_Rising_Stars", "predicate": "proves", "object": "cams rising stars is a motor racing team identity in which the confederation of australian motor spo"}
{"subject": "math:SYT13", "predicate": "proves", "object": "synaptotagmin-13 is a protein that in humans is encoded by the syt13 gene.\n\nfunction \n\nsyt13 belongs"}
{"subject": "math:Square_pyramidal_molecular_geometry", "predicate": "proves", "object": "square pyramidal geometry describes the shape of certain chemical compounds with the formula  where "}
{"subject": "math:Talak", "predicate": "proves", "object": "talak may refer to:\n\n talak, karnataka, a village in yadgir district, karnataka, india\n talak, nepal"}
{"subject": "math:Arithmetic_hyperbolic_3-manifold", "predicate": "proves", "object": "in mathematics, more precisely in group theory and hyperbolic geometry, arithmetic kleinian groups a"}
{"subject": "math:Bharat_Immunologicals_and_Biologicals_Corporation", "predicate": "proves", "object": "bharat immunologicals and biologicals corporation limited (bibcol) is a public sector undertaking (p"}
{"subject": "math:Cross_product_(disambiguation)", "predicate": "proves", "object": "the cross product is a product in vector algebra.\n\ncross product may also refer to:\n seven-dimension"}
{"subject": "math:2-Heptanone", "predicate": "proves", "object": "2-heptanone, also known as methyl n-amyl ketone, or heptan-2-one, is a ketone with the molecular for"}
{"subject": "math:Heptanone", "predicate": "proves", "object": "heptanone may refer to the following ketones with seven carbon atoms the formula c7h14o:\n\n 2-heptano"}
{"subject": "math:Chazakah", "predicate": "proves", "object": "in jewish law, a chazakah (hebrew \u05d7\u05d6\u05e7\u05d4, \"presumption\") is a legal presumption; it establishes burden"}
{"subject": "math:Jean-Louis_Colliot-Th\u00e9l\u00e8ne", "predicate": "proves", "object": "jean-louis colliot-th\u00e9l\u00e8ne (born 2 december 1947) is a french mathematician. he is a directeur de re"}
{"subject": "math:Trans-Cyclooctene", "predicate": "proves", "object": "trans-cyclooctene is a cyclic hydrocarbon with the formula [\u2013(ch2)6ch=ch\u2013], where the two c\u2013c single"}
{"subject": "math:Cis-Cyclooctene", "predicate": "proves", "object": "cis-cyclooctene is a cycloalkene with the formula (ch2)6(ch)2. it is a colorless liquid that is used"}
{"subject": "math:Coarse_space", "predicate": "proves", "object": "in mathematics, coarse space may refer to\n \ncoarse structure, a family of sets in geometry and topol"}
{"subject": "math:Yangian", "predicate": "proves", "object": "in representation theory, a yangian is an infinite-dimensional hopf algebra, a type of a quantum gro"}
{"subject": "math:Orcinol", "predicate": "proves", "object": "orcinol is an organic compound with the formula ch3c6h3(oh)2. it occurs in many species of lichens i"}
{"subject": "math:Predicate_functor_logic", "predicate": "proves", "object": "in mathematical logic, predicate functor logic (pfl) is one of several ways to express first-order l"}
{"subject": "math:Flat_bar_road_bike", "predicate": "proves", "object": "a flat bar road bike, also called a fitness bike, is a hybrid bike optimized for road usage or a roa"}
{"subject": "math:Judith_Roitman", "predicate": "proves", "object": "judith \"judy\" roitman (born november 12, 1945) is a mathematician, a retired professor at the univer"}
{"subject": "math:2008_NCAA_Division_I_FBS_football_rankings", "predicate": "proves", "object": "three human polls and one formulaic ranking make up the 2008 ncaa division i fbs (football bowl subd"}
{"subject": "math:Schur\u2013Weyl_duality", "predicate": "proves", "object": "schur\u2013weyl duality is a mathematical theorem in representation theory that relates irreducible finit"}
{"subject": "math:Seesaw_molecular_geometry", "predicate": "proves", "object": "disphenoidal or seesaw (also known as sawhorse) is a type of molecular geometry where there are four"}
{"subject": "math:Linear_molecular_geometry", "predicate": "proves", "object": "the linear molecular geometry describes the geometry around a central atom bonded to two other atoms"}
{"subject": "math:Bent_molecular_geometry", "predicate": "proves", "object": "in chemistry, molecules with a non-collinear arrangement of two adjacent bonds have bent molecular g"}
{"subject": "math:T-shaped_molecular_geometry", "predicate": "proves", "object": "in chemistry, t-shaped molecular geometry describes the structures of some molecules where a central"}
{"subject": "math:Nortel_Discovery_Protocol", "predicate": "proves", "object": "the nortel discovery protocol (ndp) is a data link layer (osi layer 2) network protocol for discover"}
{"subject": "math:William_Esson", "predicate": "proves", "object": "william esson, frs (17 may 1838 \u2013 28 august 1916) was a british mathematician.\n\nearly life\nhe was bo"}
{"subject": "math:Parallelogon", "predicate": "proves", "object": "in geometry, a parallelogon is a polygon with parallel opposite sides (hence the name) that can tile"}
{"subject": "math:Algerian_passport", "predicate": "proves", "object": "the algerian passport is an international travel document issued to citizens of algeria, and may als"}
{"subject": "math:Wang_Yuan_(mathematician)", "predicate": "proves", "object": "wang yuan (; 29 april 1930 \u2013 14 may 2021) was a chinese mathematician and writer known for his contr"}
{"subject": "math:Haitian_passport", "predicate": "proves", "object": "the haitian passport is issued to citizens of haiti for international travel.\n\nto obtain a haitian p"}
{"subject": "math:Jeanette_Marie_Sayers", "predicate": "proves", "object": "jeanette marie sayers is an american poet and editor.\n\nbiography \nsayers earned an m.a. in editorial"}
{"subject": "math:Nitro_Stunt_Racing", "predicate": "proves", "object": "nitro stunt racing is a racing game developed and edited by french studio gameseed in 2007 on pc.\n\ng"}
{"subject": "math:Algebraic_reconstruction_technique", "predicate": "proves", "object": "the algebraic reconstruction technique (art) is an iterative reconstruction technique used in comput"}
{"subject": "math:\u00c9curie_Rosier", "predicate": "proves", "object": "\u00e9curie rosier and \u00e9quipe rosier were names used by french racing driver louis rosier to enter his ow"}
{"subject": "math:Chuan-Chih_Hsiung", "predicate": "proves", "object": "chuan-chih hsiung (chinese: \u718a\u5168\u6cbb, pinyin: xi\u00f3ng qu\u00e1nzh\u00ec) (1916\u20132009), also known as chuan-chih hsiung"}
{"subject": "math:C-minimal_theory", "predicate": "proves", "object": "in model theory, a branch of mathematical logic, a c-minimal theory is a theory that is  \"minimal\" w"}
{"subject": "math:Weakly_compact", "predicate": "proves", "object": "weakly compact can refer to:\n\nweakly compact cardinal, an infinite cardinal number on which every bi"}
{"subject": "math:Supermodule", "predicate": "proves", "object": "in mathematics, a supermodule is a z2-graded module over a superring or superalgebra. supermodules a"}
{"subject": "math:APMonitor", "predicate": "proves", "object": "advanced process monitor (apmonitor) is a modeling language for differential algebraic (dae) equatio"}
{"subject": "math:Acoustic_Control_Induction_System", "predicate": "proves", "object": "acoustic control induction system, or acis, is an implementation of a variable-length intake manifol"}
{"subject": "math:Bromfenac", "predicate": "proves", "object": "bromfenac is a nonsteroidal anti-inflammatory drug (nsaid) marketed in the us as an ophthalmic solut"}
{"subject": "math:ETA's_2006_ceasefire_declaration", "predicate": "proves", "object": "eta's 2006 \"permanent ceasefire\" was the period spanning between 24 march and 30 december 2006 durin"}
{"subject": "math:Axiomatic_product_development_lifecycle", "predicate": "proves", "object": "axiomatic product development lifecycle (apdl) (also known as \ntransdisciplinary system development "}
{"subject": "math:Addington_v._Texas", "predicate": "proves", "object": "addington v. texas, 441 u.s. 418 (1979), was a landmark decision of the us supreme court that set th"}
{"subject": "math:Monnett_Sonerai", "predicate": "proves", "object": "the sonerai is a small, vw-powered homebuilt aircraft, designed by john monnett.  the sonerai began "}
{"subject": "math:Methyl_phenylacetate", "predicate": "proves", "object": "methyl phenylacetate is an organic compound that is the methyl ester of phenylacetic acid, with the "}
{"subject": "math:Rules_of_passage_(logic)", "predicate": "proves", "object": "in mathematical logic, the rules of passage govern how quantifiers distribute over the basic logical"}
{"subject": "math:Bartell_mechanism", "predicate": "proves", "object": "the bartell mechanism is a pseudorotational mechanism similar to the berry mechanism. it occurs only"}
{"subject": "math:Enveloping_von_Neumann_algebra", "predicate": "proves", "object": "in operator algebras, the enveloping von neumann algebra of a c*-algebra is a von neumann algebra th"}
{"subject": "math:Therapeutic_misconception", "predicate": "proves", "object": "therapeutic misconception is a common ethical problem encountered in human subjects research. it was"}
{"subject": "math:Tripotassium_phosphate", "predicate": "proves", "object": "tripotassium phosphate, also called tribasic potassium phosphate is a water-soluble salt with the ch"}
{"subject": "math:Wired_logic_connection", "predicate": "proves", "object": "a wired logic connection is a logic gate that implements boolean algebra (logic) using only passive "}
{"subject": "math:Isochron", "predicate": "proves", "object": "in the mathematical theory of dynamical systems, an isochron is a set of initial conditions for the "}
{"subject": "math:Vague_topology", "predicate": "proves", "object": "in mathematics, particularly in the area of functional analysis and topological vector spaces, the v"}
{"subject": "math:Australian_Formula_1", "predicate": "proves", "object": "australian formula 1 (af1) was a motor sport category for open-wheeler racing cars which was current"}
{"subject": "math:Australian_National_Formula", "predicate": "proves", "object": "the australian national formula (often abbreviated to anf) was an australian motor racing category w"}
{"subject": "math:Hyperdeterminant", "predicate": "proves", "object": "in algebra, the hyperdeterminant is a generalization of the determinant. whereas a determinant is a "}
{"subject": "math:Hypernetted-chain_equation", "predicate": "proves", "object": "in statistical mechanics the hypernetted-chain equation is a closure relation to solve the ornstein\u2013"}
{"subject": "math:Methylammonium_nitrate", "predicate": "proves", "object": "methylammonium nitrate is an explosive chemical with the molecular formula ch6n2o3, alternately ch3n"}
{"subject": "math:1965_BRDC_International_Trophy", "predicate": "proves", "object": "the 17th brdc international trophy was a motor race, run to formula one rules, held on 15 may 1965 a"}
{"subject": "math:1983_Australian_Drivers'_Championship", "predicate": "proves", "object": "the 1983 australian drivers' championship was a cams sanctioned motor racing title open to drivers o"}
{"subject": "math:SAT_solver", "predicate": "proves", "object": "in computer science and formal methods, a sat solver is a computer program which aims to solve the b"}
{"subject": "math:Overflow_(software)", "predicate": "proves", "object": "overflow - the overset grid flow solver - is a software package for simulating fluid flow around sol"}
{"subject": "math:1979_Australian_Grand_Prix", "predicate": "proves", "object": "the 1979 australian grand prix was an open-wheel racing car race held at wanneroo raceway north of p"}
{"subject": "math:Deflektor", "predicate": "proves", "object": "deflektor is a puzzle game developed by vortex software and published by gremlin graphics in decembe"}
{"subject": "math:Hypsicrates", "predicate": "proves", "object": "hypsicrates () the historian was a greek writer in rome who flourished in the 1st century bc.  his w"}
{"subject": "math:Pentagonal_pyramidal_molecular_geometry", "predicate": "proves", "object": "in chemistry, pentagonal pyramidal molecular geometry describes the shape of compounds where in six "}
{"subject": "math:Gustave_Satter", "predicate": "proves", "object": "gustave satter (12 february 1832 \u2013 after 1882) was an austrian composer and pianist.\n\nbiography \ngus"}
{"subject": "math:SLMAP", "predicate": "proves", "object": "sarcolemmal membrane-associated protein is a protein that in humans is encoded by the slmap gene.\n\ni"}
{"subject": "math:PLVAP", "predicate": "proves", "object": "plasmalemma vesicle-associated protein is a protein that in humans is encoded by the plvap gene.\n\nre"}
{"subject": "math:CCNF", "predicate": "proves", "object": "ccnf may also mean canonical conjunctive normal form in boolean algebra.\n\ng2/mitotic-specific cyclin"}
{"subject": "math:1964_BRDC_International_Trophy", "predicate": "proves", "object": "the 16th brdc international trophy was a motor race run to formula one rules, held on 2 may 1964 at "}
{"subject": "math:1963_BRDC_International_Trophy", "predicate": "proves", "object": "the 15th brdc international trophy was a motor race, run to formula one rules, held on 11 may 1963 a"}
{"subject": "math:1997\u201398_St._Louis_Blues_season", "predicate": "proves", "object": "the highlight of the 1997\u201398 st. louis blues season would mark an end of an era as former captain br"}
{"subject": "math:Phenylglyoxylic_acid", "predicate": "proves", "object": "phenylglyoxylic acid is the organic compound with the formula c6h5c(o)co2h. the conjugate base, know"}
{"subject": "math:List_of_scientific_equations_named_after_people", "predicate": "proves", "object": "this is a list of scientific equations named after people (eponymous equations).\n\nsee also\n eponym\n "}
{"subject": "math:Cristian_Dumitru_Popescu", "predicate": "proves", "object": "cristian dumitru popescu (born 1964) is a romanian-american mathematician at the university of calif"}
{"subject": "math:Classical_Hamiltonian_quaternions", "predicate": "proves", "object": "william rowan hamilton invented quaternions, a mathematical entity in 1843. this article describes h"}
{"subject": "math:Uniformly_most_powerful_test", "predicate": "proves", "object": "in statistical hypothesis testing, a uniformly most powerful (ump) test is a hypothesis test which h"}
{"subject": "math:Distributed_lag", "predicate": "proves", "object": "in statistics and econometrics, a distributed lag model is a model for time series data in which a r"}
{"subject": "math:1962_BRDC_International_Trophy", "predicate": "proves", "object": "the 14th brdc international trophy was a motor race, run for cars complying with the formula one rul"}
{"subject": "math:1998_PBA_draft", "predicate": "proves", "object": "the 1998  philippine basketball association (pba) rookie draft was an event at which teams drafted p"}
{"subject": "math:Andrew_Thompson_(racing_driver)", "predicate": "proves", "object": "andrew thompson (born 3 november 1987 in byron bay, new south wales), is an australian racing driver"}
{"subject": "math:Cuneane", "predicate": "proves", "object": "cuneane () is a saturated hydrocarbon with the formula  and a 3d structure resembling a wedge, hence"}
{"subject": "math:1972_Brazilian_Grand_Prix", "predicate": "proves", "object": "the 1972 brazilian grand prix was a formula one non-championship race held at interlagos on 30 march"}
{"subject": "math:1976_BRDC_International_Trophy", "predicate": "proves", "object": "the 28th brdc international trophy was a non-championship formula one race held at silverstone on 11"}
{"subject": "math:Chloroauric_acid", "predicate": "proves", "object": "chloroauric acid is an inorganic compound with the chemical formula . it forms hydrates . both the t"}
{"subject": "math:Henry_Gordon_Rice", "predicate": "proves", "object": "henry gordon rice (july 18, 1920 \u2013 april 14, 2003) was an american logician and mathematician best k"}
{"subject": "math:1975_BRDC_International_Trophy", "predicate": "proves", "object": "the 1975 brdc international trophy, formally known as the 27th daily express international trophy, w"}
{"subject": "math:1972_BRDC_International_Trophy", "predicate": "proves", "object": "the 24th brdc international trophy was a non-championship formula one race held at silverstone on 23"}
{"subject": "math:Mogensen\u2013Scott_encoding", "predicate": "proves", "object": "in computer science, scott encoding is a way to represent (recursive) data types in the lambda calcu"}
{"subject": "math:John_B._Harman", "predicate": "proves", "object": "john bishop harman, frcs, frcp (10 august 1907 \u2013 13 november 1994) was a british physician, presiden"}
{"subject": "math:1973_BRDC_International_Trophy", "predicate": "proves", "object": "the 25th brdc international trophy was a non-championship formula one race held at silverstone on 8 "}
{"subject": "math:1974_BRDC_International_Trophy", "predicate": "proves", "object": "the 26th brdc international trophy was a non-championship formula one race held at silverstone on 7 "}
{"subject": "math:Salsalate", "predicate": "proves", "object": "salsalate is a medication that belongs to the salicylate and nonsteroidal anti-inflammatory drug (ns"}
{"subject": "math:Gabriel_Furl\u00e1n", "predicate": "proves", "object": "n\u00e9stor gabriel furl\u00e1n (born october 13, 1964) is an argentine racing driver. he has run in different"}
{"subject": "math:1971_Argentine_Grand_Prix", "predicate": "proves", "object": "the 1971 argentine grand prix was a motor race consisting of a formula one class and a formula 5000 "}
{"subject": "math:1970_BRDC_International_Trophy", "predicate": "proves", "object": "the 22nd brdc international trophy was a motor race held at silverstone on 26 april 1970 for formula"}
{"subject": "math:Formula_Off_Road", "predicate": "proves", "object": "formula off road is a form of off-road racing 4x4 motorsport. it started in iceland, gained populari"}
{"subject": "math:1969_BRDC_International_Trophy", "predicate": "proves", "object": "the 21st brdc international trophy was a non-championship formula one race held at silverstone on 30"}
{"subject": "math:1968_BRDC_International_Trophy", "predicate": "proves", "object": "the 20th brdc international trophy was a non-championship formula one race held at silverstone on 25"}
{"subject": "math:Tony_D'Alberto", "predicate": "proves", "object": "antonio alvano \"tony\" d'alberto (born 9 december 1985) is an australian professional racing driver. "}
{"subject": "math:Receivables_turnover_ratio", "predicate": "proves", "object": "receivable turnover ratio or debtor's turnover ratio is an accounting measure used to measure how ef"}
{"subject": "math:Borel_determinacy_theorem", "predicate": "proves", "object": "in descriptive set theory, the borel determinacy theorem states that any gale\u2013stewart game whose pay"}
{"subject": "math:Goldstine_theorem", "predicate": "proves", "object": "in functional analysis, a branch of mathematics, the goldstine theorem, named after herman goldstine"}
{"subject": "math:Flying_Man_(disambiguation)", "predicate": "proves", "object": "flying man may refer to:\n\nflying man an assist character in the japanese nes game mother (video game"}
{"subject": "math:1965_Mediterranean_Grand_Prix", "predicate": "proves", "object": "the 4th mediterranean grand prix was a motor race, run to formula one rules, held on 15 august 1965 "}
{"subject": "math:Renault_(disambiguation)", "predicate": "proves", "object": "renault is a french multinational automobile manufacturer established in 1899.\n\nrenault may also ref"}
{"subject": "math:John_Elliot_(physician)", "predicate": "proves", "object": "john elliot md (1747 \u2013 22 july 1787) was a physician and scientist in eighteenth-century london who "}
{"subject": "math:Fractal_in_soil_mechanics", "predicate": "proves", "object": "a fractal is an irregular geometric object with an infinite nesting of structure at all scales. it i"}
{"subject": "math:1967_BRDC_International_Trophy", "predicate": "proves", "object": "the 19th brdc international trophy was a non-championship formula one race held at silverstone on 29"}
{"subject": "math:1967_Spanish_Grand_Prix", "predicate": "proves", "object": "the 1967 spanish grand prix was a formula one non-championship race held at jarama on 12 november 19"}
{"subject": "math:Manor_Motorsport", "predicate": "proves", "object": "manor motorsport ltd, currently trading as manor endurance racing ltd is a british motor racing comp"}
{"subject": "math:1964_Mediterranean_Grand_Prix", "predicate": "proves", "object": "the 3rd mediterranean grand prix was a motor race, run to formula one rules, held on 16 august 1964 "}
{"subject": "math:Vector_field_reconstruction", "predicate": "proves", "object": "vector field reconstruction is a method of creating a vector field from experimental or computer gen"}
{"subject": "math:Chaplygin_problem", "predicate": "proves", "object": "in mathematics, particularly in the fields of nonlinear dynamics and the calculus of variations, the"}
{"subject": "math:Differential_geometry_of_surfaces", "predicate": "proves", "object": "in mathematics, the differential geometry of surfaces deals with the differential geometry of smooth"}
{"subject": "math:Taylor\u2013Green_vortex", "predicate": "proves", "object": "in fluid dynamics, the taylor\u2013green vortex is an unsteady flow of a decaying vortex, which has an ex"}
{"subject": "math:Bituminous_waterproofing", "predicate": "proves", "object": "bituminous waterproofing systems are designed to protect residential and commercial buildings. bitum"}
{"subject": "math:Thiophosphate", "predicate": "proves", "object": "thiophosphates (or phosphorothioates, ps) are chemical compounds and anions with the general chemica"}
{"subject": "math:Riemannian_Penrose_inequality", "predicate": "proves", "object": "in mathematical general relativity, the penrose inequality, first conjectured by sir roger penrose, "}
{"subject": "math:EFDA_Nations_Cup", "predicate": "proves", "object": "the efda nations cup was a formula opel competition which was held between 1990 and 1998. the compet"}
{"subject": "math:1990_EFDA_Nations_Cup", "predicate": "proves", "object": "the efda nations cup, was a country vs country competition for formula opel cars between 1990 and 19"}
{"subject": "math:1998_EFDA_Nations_Cup", "predicate": "proves", "object": "the efda nations cup, was a country vs country competition for formula opel cars between 1990 and 19"}
{"subject": "math:1991_EFDA_Nations_Cup", "predicate": "proves", "object": "the efda nations cup, was a country vs country competition for formula opel cars between 1990 and 19"}
{"subject": "math:1525_in_art", "predicate": "proves", "object": "events from the year 1525 in art.\n\nevents\n albrecht d\u00fcrer publishes his work on geometry, the four b"}
{"subject": "math:1992_EFDA_Nations_Cup", "predicate": "proves", "object": "the efda nations cup, was a country vs country competition for formula opel cars between 1990 and 19"}
{"subject": "math:2008_Australian_Drivers'_Championship", "predicate": "proves", "object": "the 2008 australian drivers' championship was a cams sanctioned national motor racing title which wa"}
{"subject": "math:1979_Race_of_Champions", "predicate": "proves", "object": "the 1979 race of champions was a formula one non-championship motor race held at brands hatch, unite"}
{"subject": "math:Clone_(algebra)", "predicate": "proves", "object": "in universal algebra, a clone is a set c of finitary operations on a set a such that\nc contains all "}
{"subject": "math:Post's_lattice", "predicate": "proves", "object": "in logic and universal algebra, post's lattice denotes the lattice of all clones on a two-element se"}
{"subject": "math:Variational_vector_field", "predicate": "proves", "object": "in the mathematical fields of the calculus of variations and differential geometry, the variational "}
{"subject": "math:CaRMetal", "predicate": "proves", "object": "carmetal is an interactive geometry program which inherited the c.a.r. engine. the software has been"}
{"subject": "math:A._P._Balachandran", "predicate": "proves", "object": "aiyalam parameswaran balachandran (born 25 january 1938) is an indian theoretical physicist known fo"}
{"subject": "math:1963_Mediterranean_Grand_Prix", "predicate": "proves", "object": "the 1963 mediterranean grand prix was a motor race, run to formula one rules, held on 18 august 1963"}
{"subject": "math:Library_of_Efficient_Data_types_and_Algorithms", "predicate": "proves", "object": "the library of efficient data types and algorithms (leda) is a proprietarily-licensed software libra"}
{"subject": "math:Mauro_Martini", "predicate": "proves", "object": "mauro martini (born 17 may 1964) is a former italian race car driver.\n\nhighlights of his career incl"}
{"subject": "math:Betty_Boop's_Double_Shift", "predicate": "proves", "object": "betty boop's double shift is a puzzle game, developed and published by dsi games. the game is based "}
{"subject": "math:1993_EFDA_Nations_Cup", "predicate": "proves", "object": "the efda nations cup, was a country vs country competition for formula opel cars between 1990 and 19"}
{"subject": "math:1994_EFDA_Nations_Cup", "predicate": "proves", "object": "the efda nations cup, was a country vs country competition for formula opel cars between 1990 and 19"}
{"subject": "math:Ellis\u2013Numakura_lemma", "predicate": "proves", "object": "in mathematics, the ellis\u2013numakura lemma states that if s is a non-empty semigroup with a topology s"}
{"subject": "math:12-Crown-4", "predicate": "proves", "object": "12-crown-4, also called 1,4,7,10-tetraoxacyclododecane and lithium ionophore v, is a crown ether wit"}
{"subject": "math:15-Crown-5", "predicate": "proves", "object": "15-crown-5 is a crown ether with the formula (c2h4o)5.  it is a cyclic pentamer of ethylene oxide th"}
{"subject": "math:Love_and_Other_Dilemmas", "predicate": "proves", "object": "love and other dilemmas is a 2006 comedy film directed by larry di stefano. it premiered at the 2006"}
{"subject": "math:Edoardo_Piscopo", "predicate": "proves", "object": "edoardo piscopo (born 4 february 1988) is an italian racing driver.\n\ncareer\n\nformula bmw \nafter prev"}
{"subject": "math:John_Martin_(Australian_racing_driver)", "predicate": "proves", "object": "john martin is an australian professional racing driver. martin has had wide experience racing in eu"}
{"subject": "math:Wait/walk_dilemma", "predicate": "proves", "object": "the wait/walk dilemma occurs when waiting for a bus at a bus stop, when the duration of the wait may"}
{"subject": "math:1995_EFDA_Nations_Cup", "predicate": "proves", "object": "the efda nations cup, was a country vs country competition for formula opel cars between 1990 and 19"}
{"subject": "math:Numerical_range", "predicate": "proves", "object": "in the mathematical field of linear algebra and convex analysis, the numerical range or field of val"}
{"subject": "math:Federal_Bridge_Gross_Weight_Formula", "predicate": "proves", "object": "the federal bridge gross weight formula, also known as bridge formula b or the federal bridge formul"}
{"subject": "math:Schanuel's_lemma", "predicate": "proves", "object": "in mathematics, especially in the area of algebra known as module theory, schanuel's lemma, named af"}
{"subject": "math:Pregeometry", "predicate": "proves", "object": "in mathematics and physics, pregeometry has several meanings:\n pregeometry (model theory), another n"}
{"subject": "math:Pregeometry_(physics)", "predicate": "proves", "object": "in physics, a pregeometry is a hypothetical structure from which the geometry of the universe develo"}
{"subject": "math:Gauss's_lemma_(Riemannian_geometry)", "predicate": "proves", "object": "in riemannian geometry, gauss's lemma asserts that any sufficiently small sphere centered at a point"}
{"subject": "math:Serovera", "predicate": "proves", "object": "serovera is a nutritional supplement marketed by teamtrade, inc., serovera products were formulated "}
{"subject": "math:1996_EFDA_Nations_Cup", "predicate": "proves", "object": "the efda nations cup, was a country vs country competition for formula opel cars between 1990 and 19"}
{"subject": "math:Catenin_alpha-1", "predicate": "proves", "object": "\u03b1e-catenin, also known as catenin alpha-1 is a protein that in humans is encoded by the ctnna1 gene."}
{"subject": "math:Deformation_(meteorology)", "predicate": "proves", "object": "deformation is the rate of change of shape of fluid bodies. meteorologically, this quantity is very "}
{"subject": "math:1997_EFDA_Nations_Cup", "predicate": "proves", "object": "the efda nations cup, was a country vs country competition for formula opel cars between 1990 and 19"}
{"subject": "math:QUAD_(cipher)", "predicate": "proves", "object": "in cryptography, the quad cipher is a stream cipher which was designed with provable security argume"}
{"subject": "math:Exceptional_inverse_image_functor", "predicate": "proves", "object": "in  mathematics, more specifically sheaf theory, a branch of topology and algebraic geometry, the ex"}
{"subject": "math:Kline_sphere_characterization", "predicate": "proves", "object": "in mathematics, a kline sphere characterization, named after john robert kline, is a topological cha"}
{"subject": "math:Omega_equation", "predicate": "proves", "object": "the omega equation is a culminating result in synoptic-scale meteorology. it is an elliptic partial "}
{"subject": "math:Singular_spectrum_analysis", "predicate": "proves", "object": "in time series analysis, singular spectrum analysis (ssa) is a nonparametric spectral estimation met"}
{"subject": "math:Kakutani", "predicate": "proves", "object": "kakutani is a japanese surname. notable people with the surname include:\n\n michiko kakutani (born 19"}
{"subject": "math:2008_Formula_V6_Asia_Championship", "predicate": "proves", "object": "the 2008 formula v6 asia season took place in four asian countries. the season started on may 16\u201318 "}
{"subject": "math:Four_factor_formula", "predicate": "proves", "object": "the four-factor formula, also known as fermi's four factor formula is used in nuclear engineering to"}
{"subject": "math:1962_Mediterranean_Grand_Prix", "predicate": "proves", "object": "the 1st mediterranean grand prix was a motor race, run for formula one cars, held on 19 august 1962 "}
{"subject": "math:Vishnevite", "predicate": "proves", "object": "vishnevite, or sulfatic cancrinite, is a mineral of the cancrinite group with the chemical formula ("}
{"subject": "math:R31", "predicate": "proves", "object": "r31 or r-31 may refer to:\n\nautomobiles \n nissan pintara (r31), a compact car sold in australia\n niss"}
{"subject": "math:1961_South_African_Grand_Prix", "predicate": "proves", "object": "the 1961 south african grand prix, formally titled the 8th international rac south african grand pri"}
{"subject": "math:Ramified_forcing", "predicate": "proves", "object": "in the mathematical discipline of set theory, ramified forcing is the original form of forcing intro"}
{"subject": "math:Mike_Potekhen", "predicate": "proves", "object": "michael potekhen (born august 15, 1979) is an american racing driver from silverthorne, colorado who"}
{"subject": "math:Chief_strategy_officer", "predicate": "proves", "object": "a chief strategy officer (cso) is an executive that usually reports to the ceo and has primary respo"}
{"subject": "math:1961_Danish_Grand_Prix", "predicate": "proves", "object": "the ii grote prijs van danske (or 2nd danish grand prix) was held on 26\u201327 august 1961,  at the rosk"}
{"subject": "math:Weighted-average_life", "predicate": "proves", "object": "in finance, the weighted-average life (wal) of an amortizing loan or amortizing bond, also called av"}
{"subject": "math:Fluoromethylidyne", "predicate": "proves", "object": "fluoromethylidyne is not a stable chemical species but a metastable radical containing one highly re"}
{"subject": "math:Deworming", "predicate": "proves", "object": "deworming (sometimes known as worming, drenching or dehelmintization) is the giving of an anthelmint"}
{"subject": "math:Polyhedral_symbol", "predicate": "proves", "object": "the polyhedral symbol is sometimes used in coordination chemistry to indicate the approximate geomet"}
{"subject": "math:Chlorodimethylsilane", "predicate": "proves", "object": "chlorodimethylsilane, also called dimethylchlorosilane and abbreviated dmcs, is a chemical compound "}
{"subject": "math:Laplace_operators_in_differential_geometry", "predicate": "proves", "object": "in differential geometry there are a number of second-order, linear, elliptic differential operators"}
{"subject": "math:2008_Formula_3_Euro_Series", "predicate": "proves", "object": "the 2008 formula 3 euro series season was the sixth championship year of europe's premier formula th"}
{"subject": "math:Nonlinear_eigenproblem", "predicate": "proves", "object": "in mathematics, a nonlinear eigenproblem, sometimes nonlinear eigenvalue problem, is a generalizatio"}
{"subject": "math:Matrix_polynomial", "predicate": "proves", "object": "in mathematics, a matrix polynomial is a polynomial with square matrices as variables. given an ordi"}
{"subject": "math:Momentum_(electromagnetic_simulator)", "predicate": "proves", "object": "momentum is 3-d planar em simulation software for electronics and antenna analysis, a partial differ"}
{"subject": "math:Ammonium_polyphosphate", "predicate": "proves", "object": "ammonium polyphosphate is an inorganic salt of polyphosphoric acid and ammonia containing both chain"}
{"subject": "math:Minkowski_content", "predicate": "proves", "object": "the minkowski content (named after hermann minkowski), or the boundary measure, of a set is a basic "}
{"subject": "math:Avraham_Trahtman", "predicate": "proves", "object": "avraham naumovich trahtman (trakhtman) (; b. 1944, ussr) is a mathematician at bar-ilan university ("}
{"subject": "math:Omega_Point_(disambiguation)", "predicate": "proves", "object": "omega point is an idea in philosophy (eschatology) advanced by pierre teilhard de chardin.\n\nomega po"}
{"subject": "math:Abecedar", "predicate": "proves", "object": "note: \"abecedar\" is also the name of the primer (1st grade school book) in romanian.\n\nthe abecedar w"}
{"subject": "math:Michael_Caruso_(racing_driver)", "predicate": "proves", "object": "michael caruso (born 25 may 1983) is an australian professional motor racing driver. caruso competes"}
{"subject": "math:1962_Pau_Grand_Prix", "predicate": "proves", "object": "the 22nd pau grand prix was a non-championship motor race, run for formula one cars, held on 23 apri"}
{"subject": "math:Lis_(linear_algebra_library)", "predicate": "proves", "object": "lis (library of iterative solvers for linear systems, pronounced [lis]) is a scalable parallel softw"}
{"subject": "math:Homological_dimension", "predicate": "proves", "object": "homological dimension may refer to the global dimension of a ring. it may also refer to any other co"}
{"subject": "math:MacCormack_method", "predicate": "proves", "object": "in computational fluid dynamics, the maccormack method (/m\u0259\u02c8k\u0254\u02d0rm\u00e6k \u02c8m\u025b\u03b8\u0259d/) is a widely used discre"}
{"subject": "math:Homothetic_center", "predicate": "proves", "object": "in geometry, a homothetic center (also called a center of similarity or a center of similitude) is a"}
{"subject": "math:1961_Pau_Grand_Prix", "predicate": "proves", "object": "the 21st pau grand prix was a non-championship motor race, run to formula one rules, held on 3 april"}
{"subject": "math:8th_Day_(R&B_group)", "predicate": "proves", "object": "8th day was an american r&b group from detroit, michigan.\n\nhistory\nthe holland\u2013dozier\u2013holland (hdh) "}
{"subject": "math:Historia_de_Amour", "predicate": "proves", "object": "historia de amour is yolandita monge's twelfth (12th) studio album and second with cbs records (now "}
{"subject": "math:1993_Australian_Drivers'_Championship", "predicate": "proves", "object": "the 1993 australian drivers' championship was a motor racing competition open to drivers of racing c"}
{"subject": "math:Evolutionary_acquisition_of_neural_topologies", "predicate": "proves", "object": "evolutionary acquisition of neural topologies (eant/eant2) is an evolutionary reinforcement learning"}
{"subject": "math:Mostowski", "predicate": "proves", "object": "mostowski (feminine: mostowska, plural: mostowscy) is a surname. it may refer to:\n\n mostowski palace"}
{"subject": "math:Postnikov_system", "predicate": "proves", "object": "in homotopy theory, a branch of algebraic topology, a postnikov system (or postnikov tower) is a way"}
{"subject": "math:Eight-Eight_Fleet", "predicate": "proves", "object": "the  was a japanese naval strategy formulated for the development of the imperial japanese navy in t"}
{"subject": "math:Inverse_mean_curvature_flow", "predicate": "proves", "object": "in the mathematical fields of differential geometry and geometric analysis, inverse mean curvature f"}
{"subject": "math:Cornelian_dilemma", "predicate": "proves", "object": "a cornelian dilemma (dilemme corn\u00e9lien) (also spelt in translation with two \"l\"'s i.e. \"corneillian\""}
{"subject": "math:Hafnon", "predicate": "proves", "object": "hafnon is a hafnium nesosilicate mineral, chemical formula  or . in natural zircon  part of the zirc"}
{"subject": "math:Stibiopalladinite", "predicate": "proves", "object": "stibiopalladinite is a mineral containing the chemical elements palladium and antimony. its chemical"}
{"subject": "math:Rhodplumsite", "predicate": "proves", "object": "rhodplumsite is a rare rhodium-lead sulfide mineral, chemical formula rh3pb2s2. it was originally di"}
{"subject": "math:Cadmoselite", "predicate": "proves", "object": "cadmoselite is a rare cadmium selenide mineral with chemical formula cdse. cadmoselite crystallizes "}
{"subject": "math:Indite", "predicate": "proves", "object": "indite is an extremely rare indium-iron sulfide mineral, found in siberia. its chemical formula is f"}
{"subject": "math:Stress_functions", "predicate": "proves", "object": "in linear elasticity, the equations describing the deformation of an elastic body subject only to su"}
{"subject": "math:Norman_Haskell", "predicate": "proves", "object": "norman abraham haskell (1905-1970), was an american geophysicist\n\nstarting his graduate work on meas"}
{"subject": "math:Single_buoy_mooring", "predicate": "proves", "object": "a single buoy mooring (srm) (also known as single-point mooring or spm) is a loading buoy anchored o"}
{"subject": "math:Barium_ferrate", "predicate": "proves", "object": "barium ferrate is the chemical compound of formula bafeo4. this is a rare compound containing iron i"}
{"subject": "math:Tapan_Kumar_Pradhan", "predicate": "proves", "object": "tapan kumar pradhan (born 1972) is an indian poet, writer and translator from odisha. he is best kno"}
{"subject": "math:E=MC2_(disambiguation)", "predicate": "proves", "object": "e = mc2 is the equation of mass\u2013energy equivalence.\n\ne=mc2 or e=mc2 may also refer to:\n\nmusic\n e=mc\u00b2"}
{"subject": "math:Lancia_D50", "predicate": "proves", "object": "the lancia d50 was a formula one racing car designed by vittorio jano for lancia in 1954. the car's "}
{"subject": "math:1963_Pau_Grand_Prix", "predicate": "proves", "object": "the 23rd pau grand prix was a non-championship motor race, run to formula one rules, held on 15 apri"}
{"subject": "math:Bisbiguanide", "predicate": "proves", "object": "bisbiguanides are a class of chemically related compounds known for their bactericidal properties. g"}
{"subject": "math:Negacyclic_convolution", "predicate": "proves", "object": "in mathematics, negacyclic convolution is a convolution between two vectors a and b.\n\nit is also cal"}
{"subject": "math:\u00c1lvaro_Barba", "predicate": "proves", "object": "\u00e1lvaro barba l\u00f3pez (born 17 february 1984 in seville) is a spanish racing driver and brother to fell"}
{"subject": "math:1965_Race_of_Champions", "predicate": "proves", "object": "the 1st race of champions was a non-championship motor race, run to formula one rules, held on 13 ma"}
{"subject": "math:C18H21NO3", "predicate": "proves", "object": "{{displaytitle:c18h21no3}}\nthe molecular formula c18h21no3 (molar mass : 299.36 g/mol) may refer to:"}
{"subject": "math:JK_Tyre_National_Racing_Championship", "predicate": "proves", "object": "the jk tyre national racing championship also known as jk-nrc is an auto racing championship series "}
{"subject": "math:Sarmentose_(chemistry)", "predicate": "proves", "object": "sarmentose is a hexose monosaccharide with the molecular formula c7h14o4, obtained from sarmentocyma"}
{"subject": "math:1961_Glover_Trophy", "predicate": "proves", "object": "the 9th glover trophy was a motor race, run to formula one rules, held on 3 april 1961 at goodwood c"}
{"subject": "math:1962_Glover_Trophy", "predicate": "proves", "object": "the 10th glover trophy was a motor race, run for formula one cars, held on 23 april 1962 at goodwood"}
{"subject": "math:Church's_thesis_(constructive_mathematics)", "predicate": "proves", "object": "in constructive mathematics, church's thesis  is an axiom stating that all total functions are compu"}
{"subject": "math:Z-group", "predicate": "proves", "object": "in mathematics, especially in the area of algebra known as group theory, the term z-group refers to "}
{"subject": "math:1963_Glover_Trophy", "predicate": "proves", "object": "the 11th glover trophy was a motor race, run to formula one rules, held on 15 april 1963 at goodwood"}
{"subject": "math:1964_News_of_the_World_Trophy", "predicate": "proves", "object": "the 1st news of the world trophy was a motor race, run to formula one rules, held on 30 march 1964 a"}
{"subject": "math:RFG", "predicate": "proves", "object": "rfg may refer to:\n reformulated gasoline,  a fuel\n regional amateur football groups (bulgaria), in a"}
{"subject": "math:Louis_(comics)", "predicate": "proves", "object": "louis is a graphic novel series created by metaphrog, the franco-scottish duo sandra marrs and john "}
{"subject": "math:Evidence_management", "predicate": "proves", "object": "evidence management is the administration and control of evidence related to an event so that it can"}
{"subject": "math:Paddy_Lowe", "predicate": "proves", "object": "patrick allen lowe freng (born 8 april 1962), known as paddy lowe, is the founder and ceo of the fos"}
{"subject": "math:Image_functors_for_sheaves", "predicate": "proves", "object": "in mathematics, especially in sheaf theory\u2014a domain applied in areas such as topology, logic and alg"}
{"subject": "math:M._K._Fort_Jr.", "predicate": "proves", "object": "marion kirkland \"kirk\" fort jr. (1921\u20131964) was an american mathematician, specializing in general t"}
{"subject": "math:1965_Sunday_Mirror_Trophy", "predicate": "proves", "object": "the 1st sunday mirror trophy was a motor race, run to formula one rules, held on 19 april 1965 at go"}
{"subject": "math:Birnbaum\u2013Saunders_distribution", "predicate": "proves", "object": "the birnbaum\u2013saunders distribution, also known as the fatigue life distribution, is a probability di"}
{"subject": "math:Superrigidity", "predicate": "proves", "object": "in mathematics, in the theory of discrete groups, superrigidity is a concept designed to show how a "}
{"subject": "math:Tangential_angle", "predicate": "proves", "object": "in geometry, the tangential angle of a curve in the cartesian plane, at a specific point, is the ang"}
{"subject": "math:Sir_James_Lithgow,_1st_Baronet", "predicate": "proves", "object": "sir james lithgow, 1st baronet,  (27 january 1883 \u2013 23 february 1952) was a scottish industrialist w"}
{"subject": "math:PeakFit", "predicate": "proves", "object": "peakfit is an automated nonlinear peak separation and analysis software package for scientists perfo"}
{"subject": "math:Analysis_situs", "predicate": "proves", "object": "analysis situs may refer to:\ntopology, originally called analysis situs, but the term is now obsolet"}
{"subject": "math:Sodium_aluminium_hydride", "predicate": "proves", "object": "sodium aluminium hydride or sodium alanate is an inorganic compound with the chemical formula naalh4"}
{"subject": "math:Informative_site", "predicate": "proves", "object": "in phylogenetics, informative site is a term used when maximum parsimony is the optimality criterion"}
{"subject": "math:Cara_Dillon_discography", "predicate": "proves", "object": "in 1990, at the age of fourteen, folk artist cara dillon formed a traditional irish music band with "}
{"subject": "math:Mechanical_properties_of_carbon_nanotubes", "predicate": "proves", "object": "the mechanical properties of carbon nanotubes reveal them as one of the strongest materials in natur"}
{"subject": "math:Toyota_in_motorsport", "predicate": "proves", "object": "since its introduction to motorsport in the early 1970s, toyota has been involved in a number of mot"}
{"subject": "math:Indy_Regency_Racing", "predicate": "proves", "object": "indy regency racing was a racing team owned by sal incandela who had worked with several formula one"}
{"subject": "math:Alberto_Valerio", "predicate": "proves", "object": "alberto \"betinho\" val\u00e9rio (ipatinga, 6 september 1985) is a brazilian racing driver.\n\ncareer\n\nformul"}
{"subject": "math:National_University_System_Institute_for_Policy_Re", "predicate": "proves", "object": "the national university system institute for policy research, established in 2006 as the san diego i"}
{"subject": "math:Formula_of_Love", "predicate": "proves", "object": "formula of love () is a 1984 soviet romantic fantasy comedy film directed by mark zakharov, from a s"}
{"subject": "math:Stable_theory", "predicate": "proves", "object": "in the mathematical field of model theory, a theory  is called stable  if it satisfies certain combi"}
{"subject": "math:2-Naphthol", "predicate": "proves", "object": "2-naphthol, or \u03b2-naphthol, is a fluorescent colorless (or occasionally yellow) crystalline solid wit"}
{"subject": "math:C._Brian_Haselgrove", "predicate": "proves", "object": "colin brian haselgrove (26 september 1926 \u2013 27 may 1964) was an english mathematician who is best kn"}
{"subject": "math:Tellegen's_theorem", "predicate": "proves", "object": "tellegen's theorem is one of the most powerful theorems in network theory. most of the energy distri"}
{"subject": "math:Magnetic_Drum_Digital_Differential_Analyzer", "predicate": "proves", "object": "the maddida (magnetic drum digital differential analyzer) was a special-purpose digital computer use"}
{"subject": "math:Ring_Racer", "predicate": "proves", "object": "ring racer, stylized as ring\u00b0racer, is a formula one-themed roller coaster which was due to open on "}
{"subject": "math:Hoelite", "predicate": "proves", "object": "hoelite is a mineral, discovered in 1922 at mt. pyramide, spitsbergen, norway and named after norweg"}
{"subject": "math:A\u221e-operad", "predicate": "proves", "object": "{{displaytitle:a\u221e-operad}}\nin the theory of operads in algebra and algebraic topology, an a\u221e-operad "}
{"subject": "math:E\u221e-operad", "predicate": "proves", "object": "{{displaytitle:e\u221e-operad}}\nin the theory of operads in algebra and algebraic topology, an e\u221e-operad "}
{"subject": "math:Adams_filtration", "predicate": "proves", "object": "in mathematics, especially in the area of algebraic topology known as stable homotopy theory, the ad"}
{"subject": "math:Nelson_Panciatici", "predicate": "proves", "object": "nelson panciatici (born 26 september 1988) is a french professional racing driver.\n\ncareer\n\nkarting\n"}
{"subject": "math:Oxazolone", "predicate": "proves", "object": "oxazolone is a chemical compound and functional group, with the molecular formula c3h3no2. it was na"}
{"subject": "math:Monge_equation", "predicate": "proves", "object": "in the mathematical theory of partial differential equations, a monge equation, named after gaspard "}
{"subject": "math:Monge_cone", "predicate": "proves", "object": "in the mathematical theory of partial differential equations (pde), the monge cone is a geometrical "}
{"subject": "math:Butler\u2013Volmer_equation", "predicate": "proves", "object": "in electrochemistry, the butler\u2013volmer equation (named after john alfred valentine butler and max vo"}
{"subject": "math:Assiminea_vulgaris", "predicate": "proves", "object": "assiminea vulgaris is a species of  minute salt marsh snail with an operculum, an aquatic gastropod "}
{"subject": "math:Conjectural_portrait", "predicate": "proves", "object": "a conjectural portrait is a portrait made of a historical figure for whom no authentic contemporary "}
{"subject": "math:Cooper_v._Oklahoma", "predicate": "proves", "object": "cooper v. oklahoma, 517 u.s. 348 (1996), was a united states supreme court case in which the court r"}
{"subject": "math:Proof_by_intimidation", "predicate": "proves", "object": "proof by intimidation (or argumentum verbosum) is a jocular phrase used mainly in mathematics to ref"}
{"subject": "math:Twistor_correspondence", "predicate": "proves", "object": "in mathematical physics, the twistor correspondence (also known as penrose\u2013ward correspondence) is a"}
{"subject": "math:Underdetermined_system", "predicate": "proves", "object": "in mathematics, a system of linear equations or a system of polynomial equations is considered under"}
{"subject": "math:Bateman_transform", "predicate": "proves", "object": "in the mathematical study of partial differential equations, the bateman transform is a method for s"}
{"subject": "math:Chudnovsky_algorithm", "predicate": "proves", "object": "the chudnovsky algorithm is a fast method for calculating the digits of , based on ramanujan's  form"}
{"subject": "math:Benedicto_Caldarella", "predicate": "proves", "object": "benedicto caldarella (born september 1, 1939) is an argentine former grand prix motorcycle road race"}
{"subject": "math:Bing's_recognition_theorem", "predicate": "proves", "object": "in topology, a branch of mathematics, bing's recognition theorem, named for r. h. bing, asserts that"}
{"subject": "math:Equisatisfiability", "predicate": "proves", "object": "in mathematical logic (a subtopic within the field of formal logic), two formulae are equisatisfiabl"}
{"subject": "math:Prescribed_Ricci_curvature_problem", "predicate": "proves", "object": "in riemannian geometry, a branch of mathematics, the prescribed ricci curvature problem is as follow"}
{"subject": "math:Saint-Parize-le-Ch\u00e2tel", "predicate": "proves", "object": "saint-parize-le-ch\u00e2tel () is a commune in the ni\u00e8vre d\u00e9partement in central france.\n\nthe circuit de "}
{"subject": "math:Prescribed_scalar_curvature_problem", "predicate": "proves", "object": "in riemannian geometry, a branch of mathematics, the prescribed scalar curvature problem is as follo"}
{"subject": "math:Ratner's_theorems", "predicate": "proves", "object": "in mathematics, ratner's theorems are a group of major theorems in ergodic theory concerning unipote"}
{"subject": "math:M186", "predicate": "proves", "object": "m186 may refer to:\n\nm-186 (michigan highway), a state highway\nmercedes-benz m186 engine, an automobi"}
{"subject": "math:M194", "predicate": "proves", "object": "m194 may refer to:\n\nm-194 (michigan highway), a state highway in michigan\nmercedes-benz m194 engine,"}
{"subject": "math:Elongation", "predicate": "proves", "object": "elongation may refer to:\n\n elongation (astronomy)\n elongation (geometry)\n elongation (plasma physics"}
{"subject": "math:Conway_triangle_notation", "predicate": "proves", "object": "in geometry, the conway triangle notation, named after john horton conway, allows trigonometric func"}
{"subject": "math:The_Crimson_Stain_Mystery", "predicate": "proves", "object": "the crimson stain mystery is a 1916 american horror film serial directed by t. hayes hunter.  11 ree"}
{"subject": "math:Warehouse_receipt", "predicate": "proves", "object": "a warehouse receipt is a document that provides proof of ownership of commodities (e.g., bars of cop"}
{"subject": "math:Hopf_maximum_principle", "predicate": "proves", "object": "the hopf maximum principle is a maximum principle in the theory of second order elliptic partial dif"}
{"subject": "math:Carbon_diselenide", "predicate": "proves", "object": "carbon diselenide is an inorganic compound with the chemical formula . it is a yellow-orange oily li"}
{"subject": "math:Diphenylphosphine", "predicate": "proves", "object": "diphenylphosphine, also known as diphenylphosphane, is an organophosphorus compound with the formula"}
{"subject": "math:Avraham_Gorali", "predicate": "proves", "object": "avraham gorali (; october 15, 1911 \u2013 october 11, 1954) was the first chief military prosecutor of is"}
{"subject": "math:The_Hub_(Battlestar_Galactica)", "predicate": "proves", "object": "\"the hub\" is the ninth episode in the fourth season of the re-imagined battlestar galactica tv serie"}
{"subject": "math:Hurricane_Hutch", "predicate": "proves", "object": "hurricane hutch is a 1921 american adventure film serial directed by george b. seitz. the film is co"}
{"subject": "math:Model_complete_theory", "predicate": "proves", "object": "in model theory, a first-order theory is called model complete if every embedding of its models is a"}
{"subject": "math:Forking_extension", "predicate": "proves", "object": "in model theory, a forking extension of a type is an extension of that type that is not  whereas a n"}
{"subject": "math:George_Munro,_5th_Baron_of_Foulis", "predicate": "proves", "object": "george munro, 5th baron of foulis was the seventh traditional chief of the scottish, clan munro.\n\nth"}
{"subject": "math:Bitonic_tour", "predicate": "proves", "object": "in computational geometry, a bitonic tour of a set of point sites in the euclidean plane is a closed"}
{"subject": "math:Chlorodiphenylphosphine", "predicate": "proves", "object": "chlorodiphenylphosphine is an organophosphorus compound with the formula (c6h5)2pcl, abbreviated ph2"}
{"subject": "math:Roussin's_black_salt", "predicate": "proves", "object": "roussin's black salt is a chemical compound with the formula kfe4s3(no)7.  it consists of the potass"}
{"subject": "math:Optical_comparator", "predicate": "proves", "object": "an optical comparator (often called just a comparator in context) or profile projector is a device t"}
{"subject": "math:David_P._Dobkin", "predicate": "proves", "object": "david paul dobkin is an american computer scientist and the phillip y. goldman '86 professor of comp"}
{"subject": "math:2-Aminophenol", "predicate": "proves", "object": "2-aminophenol is an organic compound with the formula c6h7no. along with its isomer 4-aminophenol, i"}
{"subject": "math:EuFOD", "predicate": "proves", "object": "eufod is the chemical compound with the formula eu(occ(ch3)3chcoc3f7)3, also called eu(fod)3. this c"}
{"subject": "math:Phenylphosphine", "predicate": "proves", "object": "phenylphosphine is an organophosphorus compound with the chemical formula c6h5ph2. it is the phospho"}
{"subject": "math:Sparse_approximation", "predicate": "proves", "object": "sparse approximation (also known as sparse representation) theory deals with sparse solutions for sy"}
{"subject": "math:Phenylsilane", "predicate": "proves", "object": "phenylsilane, also known as silylbenzene, a colorless liquid, is one of the simplest organosilanes w"}
{"subject": "math:Infinitary_combinatorics", "predicate": "proves", "object": "in mathematics, infinitary combinatorics, or combinatorial set theory, is an extension of ideas in c"}
{"subject": "math:Mapping_theorem", "predicate": "proves", "object": "mapping theorem may refer to\n continuous mapping theorem, a statement regarding the stability of con"}
{"subject": "math:4,4'-Dihydroxybenzophenone", "predicate": "proves", "object": "4,4\u2032-dihydroxybenzophenone is an organic compound with the formula (hoc6h4)2co. this off-white solid"}
{"subject": "math:SimCity_Creator", "predicate": "proves", "object": "is a video game in the sim game series by electronic arts. it was released for the wii in 2008.\n\nove"}
{"subject": "math:Pipecolic_acid", "predicate": "proves", "object": "pipecolic acid (piperidine-2-carboxylic acid) is an organic compound with the formula hnc5h9co2h. it"}
{"subject": "math:Liouville_surface", "predicate": "proves", "object": "in the mathematical field of differential geometry a liouville surface is a type of surface which in"}
{"subject": "math:Hadamard's_lemma", "predicate": "proves", "object": "in mathematics, hadamard's lemma, named after jacques hadamard, is essentially a first-order form of"}
{"subject": "math:Affine_geometry_of_curves", "predicate": "proves", "object": "in the mathematical field of differential geometry, the affine geometry of curves is the study of cu"}
{"subject": "math:Glucin", "predicate": "proves", "object": "glucin is the name of an artificial sweetening agent similar to saccharin that was used in the early"}
{"subject": "math:Ontology_double_articulation", "predicate": "proves", "object": "ontology double articulation refers to the methodological principle in ontology engineering, that an"}
{"subject": "math:Roussin's_red_salt", "predicate": "proves", "object": "roussin's red salt is the inorganic compound with the formula k2[fe2s2(no)4]. this metal nitrosyl wa"}
{"subject": "math:Kenneth_Tam", "predicate": "proves", "object": "kenneth tam (born 1984 in st. john's, newfoundland and labrador) is a canadian science-fiction autho"}
{"subject": "math:Bis(diphenylphosphino)methane", "predicate": "proves", "object": "1,1-bis(diphenylphosphino)methane (dppm), is an organophosphorus compound with the formula ch2(pph2)"}
{"subject": "math:Ferrari_Grand_Prix_results", "predicate": "proves", "object": "the table below details the grand prix results for scuderia ferrari's factory team-entered and priva"}
{"subject": "math:4,4'-Dichlorodiphenyl_sulfone", "predicate": "proves", "object": "4,4\u2032-dichlorodiphenyl sulfone (dcdps) is an organic compound with the formula (clc6h4)2so2.  classif"}
{"subject": "math:Martin's_maximum", "predicate": "proves", "object": "in set theory, a branch of mathematical logic, martin's maximum, introduced by  and named after dona"}
{"subject": "math:Avanti_(project)", "predicate": "proves", "object": "avanti was established by the uk department of trade and industry in 2002 to formulate an approach t"}
{"subject": "math:Fourt\u2013Woodlock_equation", "predicate": "proves", "object": "the fourt\u2013woodlock equation (sometimes misspelled fort-woodlock equation) is a market research tool "}
{"subject": "math:4,4'-Difluorobenzophenone", "predicate": "proves", "object": "4,4\u2019-difluorobenzophenone is an organic compound with the formula of (fc6h4)2co.  this colorless sol"}
{"subject": "math:Methylrhenium_trioxide", "predicate": "proves", "object": "methylrhenium trioxide, also known as methyltrioxorhenium(vii), is an organometallic compound with t"}
{"subject": "math:Recession_index", "predicate": "proves", "object": "the recession index (the r-word index) is an informal index created by the economist which counts ho"}
{"subject": "math:Gregory_number", "predicate": "proves", "object": "in mathematics, a gregory number, named after james gregory, is a real number of the form:\n\n \n\nwhere"}
{"subject": "math:4,4'-Oxydianiline", "predicate": "proves", "object": "4,4\u2032-oxydianiline (oda) is an organic compound with the formula o(c6h4nh2)2. it is an ether derivati"}
{"subject": "math:Bisphenol_S", "predicate": "proves", "object": "bisphenol s (bps) is an organic compound with the formula .  it has two phenol functional groups on "}
{"subject": "math:Polyacrylic_acid", "predicate": "proves", "object": "poly(acrylic acid) (paa; trade name carbomer) is a polymer with the formula (ch2-chco2h)n. it is a d"}
{"subject": "math:2007_Formula_Renault_seasons", "predicate": "proves", "object": "this page describe all the 2007 seasons of formula renault series.\n\ncalendar\nthis table indicate the"}
{"subject": "math:John_Punch_(theologian)", "predicate": "proves", "object": "john punch (or john ponce or, in the latinate form, johannes poncius) (1603\u20131661) was an irish franc"}
{"subject": "math:Clinical_Associate_(Psychology)", "predicate": "proves", "object": "in scotland, a clinical associate is a shortened designation for a clinical associate in applied psy"}
{"subject": "math:Food_vs._fuel", "predicate": "proves", "object": "food versus fuel is the dilemma regarding the risk of diverting farmland or crops for biofuels produ"}
{"subject": "math:Carbohydrazide", "predicate": "proves", "object": "carbohydrazide is the chemical compound with the formula oc(n2h3)2.  it is a white, water-soluble so"}
{"subject": "math:2-Methylpyridine", "predicate": "proves", "object": "2-methylpyridine, or 2-picoline, is the compound described with formula c6h7n. 2-picoline is a color"}
{"subject": "math:Taub\u2013NUT_space", "predicate": "proves", "object": "the taub\u2013nut metric (, ) is an exact solution to einstein's equations. it may be considered a first "}
{"subject": "math:Nikwax_Analogy", "predicate": "proves", "object": "nikwax analogy is a two-component fabric system for weatherproof clothing based on \"biomimicry\" of f"}
{"subject": "math:Jan_\u0141opusza\u0144ski_(physicist)", "predicate": "proves", "object": "jan \u0142opusza\u0144ski (21 october 1923 \u2013 30 april 2008) was a polish theoretical physicist and author of s"}
{"subject": "math:1961_Solitude_Grand_Prix", "predicate": "proves", "object": "the 11th solitude grand prix was a non-championship motor race, run for cars complying with formula "}
{"subject": "math:Becher_process", "predicate": "proves", "object": "the becher process is an industrial process used to produce rutile, a form of titanium dioxide, from"}
{"subject": "math:Jensen_MotorSport", "predicate": "proves", "object": "jensen motorsport is an auto racing team that competes in the firestone indy lights series. it forme"}
{"subject": "math:Max_Chilton", "predicate": "proves", "object": "maximilian alexander chilton (born 21 april 1991) is a british racing driver who last competed for c"}
{"subject": "math:1950_Buenos_Aires_Grand_Prix", "predicate": "proves", "object": "results from the 1950 buenos aires grand prix (also called iv gran premio extraordinario maria eva d"}
{"subject": "math:2004_Australian_Drivers'_Championship", "predicate": "proves", "object": "the 2004 australian drivers' championship was an australian motor racing competition open to formula"}
{"subject": "math:1951_Buenos_Aires_Grand_Prix_(I)", "predicate": "proves", "object": "the first of three 1951 buenos aires grand prix (official name: v gran premio del general juan per\u00f3n"}
{"subject": "math:CN2", "predicate": "proves", "object": "cn2 may refer to:\n\n cn2 algorithm for rule induction\n cyanogen, molecular formula (cn)2\n cn|2, a wea"}
{"subject": "math:1958_Buenos_Aires_Grand_Prix", "predicate": "proves", "object": "the 1958 buenos aires grand prix was a formula libre race held at buenos aires on 2 february 1958, a"}
{"subject": "math:BCK_algebra", "predicate": "proves", "object": "in mathematics, bci and bck algebras are algebraic structures in universal algebra, which were intro"}
{"subject": "math:Hilbert_C*-module", "predicate": "proves", "object": "hilbert c*-modules are mathematical objects that generalise the notion of hilbert spaces (which are "}
{"subject": "math:Integration_by_reduction_formulae", "predicate": "proves", "object": "in integral calculus, integration by reduction formulae is a method relying on recurrence relations."}
{"subject": "math:Tarski's_problem", "predicate": "proves", "object": "alfred tarski asked the following mathematical questions:\nfor tarski's problem about the elementary "}
{"subject": "math:Vehicle_registration_certificate", "predicate": "proves", "object": "a vehicle registration certificate is an official \ndocument providing proof of registration of a veh"}
{"subject": "math:Struve_function", "predicate": "proves", "object": "in mathematics, the struve functions , are solutions  of the non-homogeneous bessel's differential e"}
{"subject": "math:Sborgite", "predicate": "proves", "object": "sborgite is a sodium borate mineral with formula na[b5o6(oh)4]\u00b73h2o. the formula can be written as t"}
{"subject": "math:Husimi_Q_representation", "predicate": "proves", "object": "the husimi q representation, introduced by k\u00f4di husimi in 1940, is a quasiprobability distribution c"}
{"subject": "math:Support_of_a_module", "predicate": "proves", "object": "in commutative algebra, the support of a module m over a commutative ring a is the set of all prime "}
{"subject": "math:Lagrange_number", "predicate": "proves", "object": "in mathematics, the lagrange numbers are a sequence of numbers that appear in bounds relating to the"}
{"subject": "math:Stet", "predicate": "proves", "object": "is a latin word (meaning \"let it stand\") used in proofreading to indicate that a  previously marked "}
{"subject": "math:M\u00e1ximo_Cort\u00e9s", "predicate": "proves", "object": "m\u00e1ximo cort\u00e9s (born 13 april 1988 in m\u00f3stoles, madrid) is a spanish racing driver who competes in si"}
{"subject": "math:1962_Solitude_Grand_Prix", "predicate": "proves", "object": "the 12th solitude grand prix was a non-championship motor race formula one race, held on 15 july 196"}
{"subject": "math:Ordinal_analysis", "predicate": "proves", "object": "in proof theory, ordinal analysis assigns ordinals (often large countable ordinals) to mathematical "}
{"subject": "math:Feferman\u2013Sch\u00fctte_ordinal", "predicate": "proves", "object": "in mathematics, the feferman\u2013sch\u00fctte ordinal \u03b30 is a large countable ordinal.\nit is the proof-theore"}
{"subject": "math:Formula_missae", "predicate": "proves", "object": "formula missae et communionis pro ecclesia vuittembergensi (1523) was a 16th-century latin liturgy c"}
{"subject": "math:Cut-off_factor", "predicate": "proves", "object": "cut-off factor (aka \"cut-off length\") is a factor  used to calculate the length of a hose cut to ach"}
{"subject": "math:Gauss's_law_for_magnetism", "predicate": "proves", "object": "in physics, gauss's law for magnetism is one of the four maxwell's equations that underlie classical"}
{"subject": "math:Projective_harmonic_conjugate", "predicate": "proves", "object": "in projective geometry, the harmonic conjugate point of a point on the real projective line with res"}
{"subject": "math:Ant\u00f3nio_F\u00e9lix_da_Costa", "predicate": "proves", "object": "ant\u00f3nio maria de mello breyner f\u00e9lix da costa  (born 31 august 1991) is a portuguese professional ra"}
{"subject": "math:1964_Solitude_Grand_Prix", "predicate": "proves", "object": "the 14th solitude grand prix was a non-championship motor race, run to formula one rules, held on 19"}
{"subject": "math:Triethylsilane", "predicate": "proves", "object": "triethylsilane is the organosilicon compound with the formula (c2h5)3sih. it is a trialkylsilane. th"}
{"subject": "math:Doublesix", "predicate": "proves", "object": "doublesix was a subsidiary of kuju entertainment based in guildford that develops video games for th"}
{"subject": "math:Sucrose_octaacetate", "predicate": "proves", "object": "sucrose octaacetate is a chemical compound with formula or , an eight-fold ester of sucrose and acet"}
{"subject": "math:Sodium_monothiophosphate", "predicate": "proves", "object": "sodium monothiophosphate, or sodium phosphorothioate, is an inorganic compound with the chemical for"}
{"subject": "math:Knizhnik\u2013Zamolodchikov_equations", "predicate": "proves", "object": "in mathematical physics the knizhnik\u2013zamolodchikov equations, or kz equations, are linear differenti"}
{"subject": "math:Mikhail_Yemtsev", "predicate": "proves", "object": "mikhail yemtsev (russian: \u043c\u0438\u0445\u0430\u0438\u043b \u0442\u0438\u0445\u043e\u043d\u043e\u0432\u0438\u0447 \u0435\u043c\u0446\u0435\u0432, june 3, 1930 \u2013 august 25, 2003) - soviet and russi"}
{"subject": "math:New_digraph_reconstruction_conjecture", "predicate": "proves", "object": "the reconstruction conjecture of stanis\u0142aw ulam is one of the best-known open problems in graph theo"}
{"subject": "math:Discursive_dilemma", "predicate": "proves", "object": "discursive dilemma or doctrinal paradox is a paradox in social choice theory. the paradox is that ag"}
{"subject": "math:Trimagnesium_phosphate", "predicate": "proves", "object": "trimagnesium phosphate describes inorganic compounds with formula mg3(po4)2.xh2o. they are magnesium"}
{"subject": "math:Lotus_24", "predicate": "proves", "object": "the lotus 24 was a formula one racing car designed by team lotus for the 1962 formula one season. de"}
{"subject": "math:2008_Formula_Renault_seasons", "predicate": "proves", "object": "formula renault is a class of formula racing that was founded in 1971. it is currently the biggest s"}
{"subject": "math:Super_Aguri_(disambiguation)", "predicate": "proves", "object": "super aguri may refer to a number of motor racing teams associated with former racing driver aguri s"}
{"subject": "math:Charles_Pic", "predicate": "proves", "object": "charles pic (; born 15 february 1990) is a french retired professional racing driver who drove in fo"}
{"subject": "math:Monomagnesium_phosphate", "predicate": "proves", "object": "monomagnesium phosphate is one of the forms of magnesium phosphate.  it is a magnesium acid salt of "}
{"subject": "math:Dimagnesium_phosphate", "predicate": "proves", "object": "dimagnesium phosphate is a compound with formula mghpo4. it is a mg2+ salt of monohydrogen phosphate"}
{"subject": "math:Minimal_prime_ideal", "predicate": "proves", "object": "in mathematics, especially in commutative algebra, certain prime ideals called minimal prime ideals "}
{"subject": "math:KWTW", "predicate": "proves", "object": "kwtw (88.5 fm) is a radio station broadcasting a christian contemporary & talk format, licensed to b"}
{"subject": "math:KWTM", "predicate": "proves", "object": "kwtm (90.9 fm) was a radio station broadcasting a religious format, licensed to june lake, californi"}
{"subject": "math:Iseut_de_Capio", "predicate": "proves", "object": "iseut de capio (born c. 1140) was a noblewoman and trobairitz from g\u00e9vaudan. she was a neighbour and"}
{"subject": "math:Linear_system_of_conics", "predicate": "proves", "object": "in algebraic geometry, the conic sections in the projective plane form a linear system of dimension "}
{"subject": "math:Hesketh_308D", "predicate": "proves", "object": "the hesketh 308d is a formula one racing car built by the hesketh racing team in 1976. the car was b"}
{"subject": "math:Coxeter's_loxodromic_sequence_of_tangent_circles", "predicate": "proves", "object": "in geometry, coxeter's loxodromic sequence of tangent circles is an infinite sequence of circles arr"}
{"subject": "math:Svanbergite", "predicate": "proves", "object": "svanbergite is a colorless, yellow or reddish mineral with the chemical formula sral3(po4)(so4)(oh)6"}
{"subject": "math:Isoparametric_manifold", "predicate": "proves", "object": "in riemannian geometry, an isoparametric manifold is a type of (immersed) submanifold of euclidean s"}
{"subject": "math:Electronic_effect", "predicate": "proves", "object": "an electronic effect influences the structure, reactivity, or properties of molecule but is neither "}
{"subject": "math:Jules_Tannery", "predicate": "proves", "object": "jules tannery (24 march 1848 \u2013 11 december 1910) was a french mathematician,  who notably studied un"}
{"subject": "math:Pieri", "predicate": "proves", "object": "pieri may refer to:\n\na member of the pieres, an ancient thracian tribe\npieri (surname)\n\nsee also\npie"}
{"subject": "math:Kurt_Sch\u00fctte", "predicate": "proves", "object": "kurt sch\u00fctte (14 october 1909, salzwedel \u2013 18 august 1998, munich) was a german mathematician who wo"}
{"subject": "math:Iceane", "predicate": "proves", "object": "iceane is a saturated polycyclic hydrocarbon with formula . it has a cage-like molecular structure, "}
{"subject": "math:Derivation_of_the_Routh_array", "predicate": "proves", "object": "the routh array is a tabular method permitting one to establish the stability of a system using only"}
{"subject": "math:Greg_Kuperberg", "predicate": "proves", "object": "greg kuperberg (born july 4, 1967) is a polish-born american mathematician known for his contributio"}
{"subject": "math:Minardi_PS02", "predicate": "proves", "object": "the minardi ps02 was the car with which the minardi team competed in the 2002 formula one world cham"}
{"subject": "math:Patheon", "predicate": "proves", "object": "patheon is a service brand within thermo fisher scientific\u2019s brand portfolio. contract development a"}
{"subject": "math:Jaguar_R3", "predicate": "proves", "object": "the jaguar r3 is a formula one racing car with which jaguar racing competed in the 2002 formula one "}
{"subject": "math:Yuksporite", "predicate": "proves", "object": "yuksporite is a rare inosilicate mineral with double width, unbranched chains, and the complicated c"}
{"subject": "math:Liouville's_formula", "predicate": "proves", "object": "in mathematics, liouville's formula, also known as the abel-jacobi-liouville identity, is an equatio"}
{"subject": "math:FRE", "predicate": "proves", "object": "fre or fre may refer to:\n\n pedro fr\u00e9 (1924\u20132014), brazilian roman catholic bishop\n fr\u00e9 cohen (1903\u20131"}
{"subject": "math:Backward_differentiation_formula", "predicate": "proves", "object": "the backward differentiation formula (bdf) is a family of implicit methods for the numerical integra"}
{"subject": "math:Take_5_(band)", "predicate": "proves", "object": "take 5 was an american boy band from orlando, florida consisting of brothers ryan and jeff \"clay\" go"}
{"subject": "math:Jaguar_R5", "predicate": "proves", "object": "the jaguar r5 was a formula one racing car used by jaguar racing to contest the 2004 formula one sea"}
{"subject": "math:Rauch_comparison_theorem", "predicate": "proves", "object": "in riemannian geometry, the rauch comparison theorem, named after harry rauch, who proved it in 1951"}
{"subject": "math:Tetraphenylcyclopentadienone", "predicate": "proves", "object": "tetraphenylcyclopentadienone is an organic compound with the formula (c6h5)4c4co. it is a dark purpl"}
{"subject": "math:Henry_Wallman", "predicate": "proves", "object": "henry \"hank\" wallman (1915\u20131992) was an american mathematician, known for his work in lattice theory"}
{"subject": "math:Richard_Davis_Anderson", "predicate": "proves", "object": "richard davis anderson, sr. (february 17, 1922 \u2013 march 4, 2008) was an american mathematician known "}
{"subject": "math:BDDC", "predicate": "proves", "object": "in numerical analysis, bddc (balancing domain decomposition by constraints) is a domain decompositio"}
{"subject": "math:Laue_equations", "predicate": "proves", "object": "in crystallography and solid state physics, the laue equations relate incoming waves to outgoing wav"}
{"subject": "math:Domain_decomposition_methods", "predicate": "proves", "object": "in mathematics, numerical analysis, and numerical partial differential equations, domain decompositi"}
{"subject": "math:Timeline_of_abelian_varieties", "predicate": "proves", "object": "this is a timeline of the theory of abelian varieties in algebraic geometry, including elliptic curv"}
{"subject": "math:NCCN", "predicate": "proves", "object": "nccn may refer to:\n\n national competitiveness council of nigeria\n national comprehensive cancer netw"}
{"subject": "math:Von_Neumann's_inequality", "predicate": "proves", "object": "in operator theory, von neumann's inequality, due to john von neumann, states that, for a fixed cont"}
{"subject": "math:Balancing_domain_decomposition_method", "predicate": "proves", "object": "in numerical analysis, the balancing domain decomposition method (bdd) is an iterative method to fin"}
{"subject": "math:Mortar_methods", "predicate": "proves", "object": "in numerical analysis, mortar methods are discretization methods for partial differential equations,"}
{"subject": "math:Zirconyl_chloride", "predicate": "proves", "object": "zirconyl chloride is the inorganic compound with the formula of [zr4(oh)8(h2o)16]cl8(h2o)12, more co"}
{"subject": "math:Calcium_sulfite", "predicate": "proves", "object": "calcium sulfite, or calcium sulphite, is a chemical compound, the calcium salt of sulfite with the f"}
{"subject": "math:Potassium_sulfite", "predicate": "proves", "object": "potassium sulfite is the inorganic compound with the formula k2so3.  it is the salt of potassium cat"}
{"subject": "math:Formalism_(philosophy_of_mathematics)", "predicate": "proves", "object": "in the philosophy of mathematics, formalism is the view that holds that statements of mathematics an"}
{"subject": "math:Kentucky_Gentleman", "predicate": "proves", "object": "kentucky gentleman is a brand of  whiskey produced by the sazerac company at its barton 1792 distill"}
{"subject": "math:Armored_car_(VIP)", "predicate": "proves", "object": "a vip armored car is a civilian vehicle with a reinforced structure that is designed to protect its "}
{"subject": "math:Abstract_additive_Schwarz_method", "predicate": "proves", "object": "in mathematics, the abstract additive schwarz method, named after hermann schwarz, is an abstract ve"}
{"subject": "math:Cox\u2013Zucker_machine", "predicate": "proves", "object": "in arithmetic geometry, the cox\u2013zucker machine is an algorithm created by david a. cox and steven zu"}
{"subject": "math:Pseudoscientific_metrology", "predicate": "proves", "object": "some approaches in the branch of historic metrology are highly speculative and can be qualified as p"}
{"subject": "math:Bjorn_Poonen", "predicate": "proves", "object": "bjorn mikhail poonen (born july 27, 1968, in boston, massachusetts) is a mathematician, four-time pu"}
{"subject": "math:Hjelmslev's_theorem", "predicate": "proves", "object": "in geometry, hjelmslev's theorem, named after johannes hjelmslev, is the statement that if points p,"}
{"subject": "math:Carpus_of_Antioch", "predicate": "proves", "object": "carpus of antioch () was an ancient greek mathematician. it is not certain when he lived; he may hav"}
{"subject": "math:James_Chester_Manifold", "predicate": "proves", "object": "james chester manifold (10 february 1867 \u2013 30 october 1918) was an australian politician and philant"}
{"subject": "math:1973_Australian_Drivers'_Championship", "predicate": "proves", "object": "the 1973 australian drivers' championship was a cams sanctioned national motor racing title open to "}
{"subject": "math:107%_rule", "predicate": "proves", "object": "the 107% rule is a sporting regulation affecting formula one racing qualifying sessions. during the "}
{"subject": "math:Iodine_pentoxide", "predicate": "proves", "object": "iodine pentoxide is the chemical compound with the formula i2o5.  this iodine oxide is the anhydride"}
{"subject": "math:Nakajima_Satoru_Kanshuu_F1_Grand_Prix", "predicate": "proves", "object": "is a 1991 sega mega drive formula one video game based on the career of satoru nakajima. nakajima wa"}
{"subject": "math:Ferrari_642", "predicate": "proves", "object": "the ferrari 642 (also known as the ferrari f1-91) was a formula one racing car designed by steve nic"}
{"subject": "math:Schierker_Feuerstein", "predicate": "proves", "object": "schierker feuerstein is a german herbal liqueur, a half-bitters at a strength of 35% alcohol by volu"}
{"subject": "math:Bentley\u2013Ottmann_algorithm", "predicate": "proves", "object": "in computational geometry, the bentley\u2013ottmann algorithm is a sweep line algorithm for listing all c"}
{"subject": "math:Nelson_Piquet_(disambiguation)", "predicate": "proves", "object": "nelson piquet is a former formula one driver and triple world champion.\n\nnelson piquet may also refe"}
{"subject": "math:Local_convergence", "predicate": "proves", "object": "in numerical analysis, an iterative method is called locally convergent if the successive approximat"}
{"subject": "math:Yada", "predicate": "proves", "object": "yada (written: \u77e2\u7530 or \u8c37\u7530) is a japanese surname. there\u2019s also proof it\u2019s an irish surname. notable pe"}
{"subject": "math:F1_Circus_(video_game)", "predicate": "proves", "object": "is a formula one-based racing game developed by nihon bussan and published by nichibutsu for the pc-"}
{"subject": "math:Ysabella_(trobairitz)", "predicate": "proves", "object": "ysabel or ysabella (poss. b. c. 1180) was a 13th-century trobairitz. almost nothing is known about h"}
{"subject": "math:Mass_fraction_(chemistry)", "predicate": "proves", "object": "in chemistry, the mass fraction of a substance within a mixture is the ratio   (alternatively denote"}
{"subject": "math:Haboush", "predicate": "proves", "object": "haboush is a surname. notable people with the surname include:\n\njahyun kim haboush (1940\u20132011), kore"}
{"subject": "math:Iwasawa", "predicate": "proves", "object": "iwasawa may refer to:\n, japanese mathematician\niwasawa decomposition, a mathematical group decomposi"}
{"subject": "math:Long_Walk_Home_(disambiguation)", "predicate": "proves", "object": "\"long walk home\" is a bruce springsteen song.\n\nlong walk home may also refer to:\n\n \"long walk home\","}
{"subject": "math:Arakelov_theory", "predicate": "proves", "object": "in mathematics, arakelov theory (or arakelov geometry) is an approach to diophantine geometry, named"}
{"subject": "math:Chemical_bonding_model", "predicate": "proves", "object": "a chemical bonding model is a theoretical model used to explain atomic bonding structure, molecular "}
{"subject": "math:Tin_hat", "predicate": "proves", "object": "tin hat can refer to:\n a waterproof hat made of oil-finished cloth, traditionally associated with th"}
{"subject": "math:Ferropericlase", "predicate": "proves", "object": "ferropericlase or magnesiow\u00fcstite is a magnesium/iron oxide with the chemical formula  that is inter"}
{"subject": "math:Thiophene-3-acetic_acid", "predicate": "proves", "object": "thiophene-3-acetic acid is an organosulfur compound with the formula ho2cch2c4h3s. it is a white sol"}
{"subject": "math:William_Haboush", "predicate": "proves", "object": "william joseph haboush (born 1942) is an american mathematician at the university of illinois urbana"}
{"subject": "math:First-order_inductive_learner", "predicate": "proves", "object": "in machine learning, first-order inductive learner (foil) is a rule-based learning algorithm.\n\nbackg"}
{"subject": "math:Topological_dynamics", "predicate": "proves", "object": "in mathematics, topological dynamics is a branch of the theory of dynamical systems in which qualita"}
{"subject": "math:Nonequilibrium_partition_identity", "predicate": "proves", "object": "the nonequilibrium partition identity (npi) is a remarkably simple and elegant consequence of the fl"}
{"subject": "math:Monomial_group", "predicate": "proves", "object": "in mathematics, in the area of algebra studying the character theory of finite groups, an m-group or"}
{"subject": "math:Erich_Leo_Lehmann", "predicate": "proves", "object": "erich leo lehmann (20 november 1917 \u2013 12 september 2009) was a german-born american statistician, wh"}
{"subject": "math:Idles_(disambiguation)", "predicate": "proves", "object": "idles are a british rock band.\n\nidles may also refer to:\n idl\u00e8s, a town and commune in  algeria\n the"}
{"subject": "math:Goodman_relation", "predicate": "proves", "object": "within the branch of materials science known as material failure theory, the goodman relation (also "}
{"subject": "math:Prouhet\u2013Tarry\u2013Escott_problem", "predicate": "proves", "object": "in mathematics, the prouhet\u2013tarry\u2013escott problem asks for two disjoint multisets a and b of n intege"}
{"subject": "math:FTG", "predicate": "proves", "object": "ftg may refer to:\n ftg (band), a malaysian thrash metal band\n ferdinand t\u00f6nnies society (german: ), "}
{"subject": "math:Frucht", "predicate": "proves", "object": "frucht is surname of:\n\n  (1913, torgau - 1993), german doctor and physiologist\nmichael frucht (1969-"}
{"subject": "math:Frobenius_solution_to_the_hypergeometric_equation", "predicate": "proves", "object": "in the following we solve the second-order differential equation called the hypergeometric different"}
{"subject": "math:Cauchy_momentum_equation", "predicate": "proves", "object": "the cauchy momentum equation is a vector partial differential equation put forth by cauchy that desc"}
{"subject": "math:Von_Neumann", "predicate": "proves", "object": "von neumann may refer to:\n\n von neumann, a variant of neumann (surname), a german surname, including"}
{"subject": "math:European_Formula_Three", "predicate": "proves", "object": "european formula three can refer to:\n\nthe fia european formula three championship (1975\u20131984, 2012\u20132"}
{"subject": "math:Chevalley\u2013Shephard\u2013Todd_theorem", "predicate": "proves", "object": "in mathematics, the chevalley\u2013shephard\u2013todd theorem in invariant theory of finite groups states that"}
{"subject": "math:Dentyl_pH", "predicate": "proves", "object": "dentyl dual action, previously known as dentyl active, and originally as dentyl ph, is a brand of mo"}
{"subject": "math:Special_cases_of_Apollonius'_problem", "predicate": "proves", "object": "in euclidean geometry, apollonius' problem is to construct all the circles that are tangent to three"}
{"subject": "math:IsaPlanner", "predicate": "proves", "object": "isaplanner is a proof planner for the interactive proof assistant, isabelle.  originally developed b"}
{"subject": "math:L\u00fcroth's_theorem", "predicate": "proves", "object": "in mathematics, l\u00fcroth's theorem asserts that every field that lies between a field k and the ration"}
{"subject": "math:Heaviside_cover-up_method", "predicate": "proves", "object": "the heaviside cover-up method, named after oliver heaviside, is a technique for quickly determining "}
{"subject": "math:Rationalisation_(mathematics)", "predicate": "proves", "object": "in elementary algebra, root rationalisation is a process by which radicals in the denominator of an "}
{"subject": "math:Mass_spectral_interpretation", "predicate": "proves", "object": "mass spectral interpretation is the method employed to identify the chemical formula, characteristic"}
{"subject": "math:1963_Solitude_Grand_Prix", "predicate": "proves", "object": "the 13th solitude grand prix was a non-championship motor race, run to formula one rules, held on 28"}
{"subject": "math:Dimethyl_maleate", "predicate": "proves", "object": "dimethyl maleate is an organic compound with the formula c6h8o4. it is the dimethyl ester of maleic "}
{"subject": "math:Kulwin_railway_line", "predicate": "proves", "object": "the kulwin railway line is located in north-western victoria, australia. it junctions from the robin"}
{"subject": "math:Wycheproof_railway_station", "predicate": "proves", "object": "wycheproof is a closed railway station on the kulwin line in wycheproof, victoria, australia. the li"}
{"subject": "math:NESSUS_Probabilistic_Analysis_Software", "predicate": "proves", "object": "nessus is a general-purpose, probabilistic analysis program that simulates variations and uncertaint"}
{"subject": "math:Michael_Guy", "predicate": "proves", "object": "michael j. t. guy (born 1 april 1943) is a british computer scientist and mathematician. he is known"}
{"subject": "math:Dinah,_Dinah_Show_us_your_Leg", "predicate": "proves", "object": "\"dinah, dinah show us your leg\" is an american bawdy song.\n\nthe formula is a descending scale: \"rich"}
{"subject": "math:Lefschetz_duality", "predicate": "proves", "object": "in mathematics, lefschetz duality is a version of poincar\u00e9 duality in geometric topology, applying t"}
{"subject": "math:Aurelio_Baldor", "predicate": "proves", "object": "aurelio \u00e1ngel baldor de la vega (october 22, 1906, havana, cuba \u2013 april 2, 1978, miami) was a cuban "}
{"subject": "math:Jules_Bianchi", "predicate": "proves", "object": "jules lucien andr\u00e9 bianchi (; 3 august 1989 \u2013 17 july 2015) was a french motor racing driver who dro"}
{"subject": "math:Cost-plus-incentive_fee", "predicate": "proves", "object": "a cost-plus-incentive fee (cpif) contract is a cost-reimbursement contract that provides for an init"}
{"subject": "math:1963_Austrian_Grand_Prix", "predicate": "proves", "object": "the 1st austrian grand prix was a motor race, run to formula one rules, held on 1 september 1963 at "}
{"subject": "math:Abacus_school", "predicate": "proves", "object": "abacus school is a term applied to any italian school or tutorial after the 13th century, whose comm"}
{"subject": "math:2008_British_Formula_3_International_Series", "predicate": "proves", "object": "the 2008 formula 3 international series was the 58th british formula 3 international series season. "}
{"subject": "math:Thomas_Biagi", "predicate": "proves", "object": "thomas biagi (born 7 may 1976, in bologna), is an italian professional racing driver.\n\nbiagi started"}
{"subject": "math:Christian_Pescatori", "predicate": "proves", "object": "christian pescatori is a professional racecar driver from italy. he was born in brescia, on 1 decemb"}
{"subject": "math:Jean-Philippe_Belloc", "predicate": "proves", "object": "jean-philippe belloc is a racecar driver from france. he was born in montauban, on 24 april 1970.\n\nb"}
{"subject": "math:History_of_group_theory", "predicate": "proves", "object": "the history of group theory, a mathematical domain studying groups in their various forms, has evolv"}
{"subject": "math:Perkins_Paste", "predicate": "proves", "object": "perkins paste was an australian brand of adhesive. although not designed specifically for children, "}
{"subject": "math:Cheeger_constant", "predicate": "proves", "object": "in riemannian geometry, the cheeger isoperimetric constant of a compact riemannian manifold m is a p"}
{"subject": "math:Sean_Raspet", "predicate": "proves", "object": "sean raspet (born 1981) is an american artist based in san francisco. raspet is known for his artwor"}
{"subject": "math:Beryllium_hydride", "predicate": "proves", "object": "beryllium hydride (systematically named poly[beryllane(2)] and beryllium dihydride) is an inorganic "}
{"subject": "math:1961_International_Gold_Cup", "predicate": "proves", "object": "the 8th gold cup was a motor race, run to formula one rules, held on 23 september 1961 at oulton par"}
{"subject": "math:Romeite", "predicate": "proves", "object": "rom\u00e9ite is a calcium antimonate mineral with the chemical formula . it is a honey-yellow mineral cry"}
{"subject": "math:AGS_JH22", "predicate": "proves", "object": "the ags jh22 was a formula one racing car designed by christian vanderpleyn and used by the french a"}
{"subject": "math:1962_International_Gold_Cup", "predicate": "proves", "object": "the 9th gold cup was a motor race, run for formula one cars, held on 1 september 1962 at oulton park"}
{"subject": "math:Orloff_vodka", "predicate": "proves", "object": "orloff vodka is made by white rock distilleries of lewiston, maine. it is made in 80 or 100 proof an"}
{"subject": "math:KnowledgeBench", "predicate": "proves", "object": "knowledgebench is a proprietary software suite which is used in the development of new products such"}
{"subject": "math:Landau\u2013Lifshitz\u2013Gilbert_equation", "predicate": "proves", "object": "in physics, the landau\u2013lifshitz\u2013gilbert equation, named for lev landau, evgeny lifshitz, and t. l. g"}
{"subject": "math:List_of_red-flagged_Formula_One_races", "predicate": "proves", "object": "formula one, abbreviated to f1, is the highest class of open-wheeled auto racing defined by the f\u00e9d\u00e9"}
{"subject": "math:Uniformly_hyperfinite_algebra", "predicate": "proves", "object": "in mathematics, particularly in the theory of c*-algebras, a uniformly hyperfinite, or uhf, algebra "}
{"subject": "math:Continental_divide_(disambiguation)", "predicate": "proves", "object": "a continental divide is a drainage divide on a continent such that the drainage basin on one side of"}
{"subject": "math:Rhenium_heptafluoride", "predicate": "proves", "object": "rhenium heptafluoride is the compound with the formula ref7. it is a yellow low melting solid and is"}
{"subject": "math:2006_Formula_Renault_seasons", "predicate": "proves", "object": "this page describe all the 2006 seasons of formula renault series.\n\nformula renault 3.5l\n\nformula re"}
{"subject": "math:Natural_pseudodistance", "predicate": "proves", "object": "in size theory, the natural pseudodistance between two size pairs ,  is the value , where  varies in"}
{"subject": "math:1963_International_Gold_Cup", "predicate": "proves", "object": "the 10th gold cup was a motor race, run to formula one rules, held on 21 september 1963 at oulton pa"}
{"subject": "math:50_Cent:_Blood_on_the_Sand", "predicate": "proves", "object": "50 cent: blood on the sand is a third-person shooter video game developed by swordfish studios and p"}
{"subject": "math:1961_Kanonloppet", "predicate": "proves", "object": "the 7th kanonloppet was a motor race, run to formula one rules, held on 20 august 1961 at the karlsk"}
{"subject": "math:Molybdenum_tetrachloride", "predicate": "proves", "object": "molybdenum tetrachloride is the inorganic compound with the empirical formula mocl4.  the material e"}
{"subject": "math:Ministry_of_Information_and_Broadcasting_(India)", "predicate": "proves", "object": "ministry of information and broadcasting (ministry of i&b) is a ministerial level agency of the gove"}
{"subject": "math:Interwetten_Racing", "predicate": "proves", "object": "interwetten.com racing is a racing team from austria. it was founded in 2001 by walter raus.\n\ncareer"}
{"subject": "math:Ishimori_equation", "predicate": "proves", "object": "the ishimori equation is a partial differential equation proposed by the japanese mathematician . it"}
{"subject": "math:Parachlorobenzotrifluoride", "predicate": "proves", "object": "parachlorobenzotrifluoride is a synthetic halogenated organic chemical compound with the molecular f"}
{"subject": "math:This_Is_My_Blood", "predicate": "proves", "object": "this is my blood is the second studio album by the death metal band soul embraced.\n\ncritical recepti"}
{"subject": "math:1962_Kanonloppet", "predicate": "proves", "object": "the 8th kanonloppet was a motor race, run for formula one cars, held on 12 august 1962 at the karlsk"}
{"subject": "math:Guido_Forti", "predicate": "proves", "object": "guido forti (10 july 1940 \u2013 11 january 2013) was the founder and team manager of the now-defunct for"}
{"subject": "math:Volume_table", "predicate": "proves", "object": "a volume table is a chart to aid in the estimation of standing timber volume. these tables are based"}
{"subject": "math:1963_Kanonloppet", "predicate": "proves", "object": "the 9th kanonloppet was a motor race, run to formula one rules, held on 11 august 1963 at the karlsk"}
{"subject": "math:Dual_impedance", "predicate": "proves", "object": "dual impedance and dual network are terms used in electronic network analysis. the dual of an impeda"}
{"subject": "math:EqWorld", "predicate": "proves", "object": "eqworld is  a free online mathematics reference site that lists information about mathematical equat"}
{"subject": "math:S-finite_measure", "predicate": "proves", "object": "in measure theory, a branch of mathematics that studies generalized notions of volumes, an s-finite "}
{"subject": "math:Leonid_Vaserstein", "predicate": "proves", "object": "leonid nisonovich vaserstein () is a russian-american mathematician, currently professor of mathemat"}
{"subject": "math:Size_function", "predicate": "proves", "object": "size functions are shape descriptors, in a geometrical/topological sense. they are functions from th"}
{"subject": "math:Lattice_phase_equaliser", "predicate": "proves", "object": "a lattice phase equaliser or lattice filter is an example of an all-pass filter. that is, the attenu"}
{"subject": "math:Bridged_T_delay_equaliser", "predicate": "proves", "object": "the bridged-t delay equaliser is an electrical all-pass filter circuit utilising bridged-t topology "}
{"subject": "math:Selenium_hexafluoride", "predicate": "proves", "object": "selenium hexafluoride is the inorganic compound with the formula sef6. it is a very toxic colourless"}
{"subject": "math:Lie_sphere_geometry", "predicate": "proves", "object": "lie sphere geometry is a geometrical theory of planar or spatial geometry in which the fundamental c"}
{"subject": "math:Circle_packing_theorem", "predicate": "proves", "object": "the circle packing theorem (also known as the koebe\u2013andreev\u2013thurston theorem) describes the possible"}
{"subject": "math:Pushforward_(homology)", "predicate": "proves", "object": "in algebraic topology, the pushforward of a continuous function  :  between two topological spaces i"}
{"subject": "math:Landau\u2013Lifshitz_equation", "predicate": "proves", "object": "in physics, the landau\u2013lifshitz equation (lle), named for lev landau and evgeny lifshitz, is a name "}
{"subject": "math:Landau\u2013Lifshitz_model", "predicate": "proves", "object": "in solid-state physics, the landau\u2013lifshitz equation (lle), named for lev landau and evgeny lifshitz"}
{"subject": "math:Spider-Man_(1982_video_game)", "predicate": "proves", "object": "spider-man is a vertical scrolling action game written by laura nikolich for the atari 2600, and rel"}
{"subject": "math:Sabre_Motorsport", "predicate": "proves", "object": "sabre motorsport is a new zealand company owned by dennis martin that designs and constructs formula"}
{"subject": "math:Three-language_formula", "predicate": "proves", "object": "the three-language formula is a language learning policy first formulated in 1968 by the ministry of"}
{"subject": "math:Deborah_F._Stanley", "predicate": "proves", "object": "deborah flemma stanley is an american lawyer and academic administrator who served as president of t"}
{"subject": "math:1963_Australian_Drivers'_Championship", "predicate": "proves", "object": "the 1963 australian drivers' championship was a cams sanctioned national motor racing title for driv"}
{"subject": "math:Barycentric-sum_problem", "predicate": "proves", "object": "combinatorial number theory deals with number theoretic problems which involve combinatorial ideas i"}
{"subject": "math:2008_Formula_Nippon_Championship", "predicate": "proves", "object": "the 2008 formula nippon championship was the thirty-sixth season of the premier japanese open-wheel "}
{"subject": "math:Representation_ring", "predicate": "proves", "object": "in mathematics, especially in the area of algebra known as representation theory, the representation"}
{"subject": "math:Georg_David_Anthon", "predicate": "proves", "object": "georg (george) david anthon (1 october 1714 \u2013 30 august  1781) was a german born, danish architect.\n"}
{"subject": "math:Davey\u2013Stewartson_equation", "predicate": "proves", "object": "in fluid dynamics, the davey\u2013stewartson equation (dse) was introduced in a paper by a. davey and kei"}
{"subject": "math:Potassium_octachlorodimolybdate", "predicate": "proves", "object": "potassium octachlorodimolybdate (systematically named potassium bis(tetrachloromolybdate)(mo\u2013mo)(4\u2212)"}
{"subject": "math:Mass-analyzed_ion-kinetic-energy_spectrometry", "predicate": "proves", "object": "mass-analyzed ion kinetic-energy spectrometry (mikes) is a mass spectrometry technique by which mass"}
{"subject": "math:Nonlinear_partial_differential_equation", "predicate": "proves", "object": "in mathematics and physics, a nonlinear partial differential equation is a partial differential equa"}
{"subject": "math:Strong_orientation", "predicate": "proves", "object": "in graph theory, a strong orientation of an undirected graph is an assignment of a direction to each"}
{"subject": "math:Size_homotopy_group", "predicate": "proves", "object": "the concept of size homotopy group is analogous in size theory of the classical concept of homotopy "}
{"subject": "math:Algebraic_Riccati_equation", "predicate": "proves", "object": "an algebraic riccati equation is a type of nonlinear equation that arises in the context of infinite"}
{"subject": "math:Estimating_equations", "predicate": "proves", "object": "in statistics, the method of estimating equations is a way of specifying how the parameters of a sta"}
{"subject": "math:Carath\u00e9odory's_criterion", "predicate": "proves", "object": "carath\u00e9odory's criterion is a result in measure theory that was formulated by greek mathematician co"}
{"subject": "math:Small-gain_theorem", "predicate": "proves", "object": "in nonlinear systems, the formalism of input-output stability is an important tool in studying the s"}
{"subject": "math:Binomial_differential_equation", "predicate": "proves", "object": "in mathematics, the binomial differential equation is an ordinary differential equation containing o"}
{"subject": "math:Benjamin\u2013Ono_equation", "predicate": "proves", "object": "in mathematics, the benjamin\u2013ono equation is a nonlinear partial integro-differential equation that "}
{"subject": "math:Euler\u2013Poisson\u2013Darboux_equation", "predicate": "proves", "object": "in mathematics, the euler\u2013poisson\u2013darboux equation is the partial differential equation\n\n \n\nthis equ"}
{"subject": "math:Benjamin\u2013Bona\u2013Mahony_equation", "predicate": "proves", "object": "the benjamin\u2013bona\u2013mahony equation (bbm equation, also regularized long-wave equation; rlwe) is the p"}
{"subject": "math:Lin\u2013Tsien_equation", "predicate": "proves", "object": "the lin\u2013tsien equation (named after c. c. lin and h. s. tsien) is an integrable partial differential"}
{"subject": "math:Gauss's_law_for_gravity", "predicate": "proves", "object": "in physics, gauss's law for gravity, also known as gauss's flux theorem for gravity, is a law of phy"}
{"subject": "math:Juichi_Wakisaka", "predicate": "proves", "object": "is a former japanese racing driver who was a 2002, 2006 and 2009 champion in japan's super gt series"}
{"subject": "math:Water_Resources_Development_Act_of_1986", "predicate": "proves", "object": "the water resources development act of 1986 (wrda 1986) is part of , a series of acts enacted by con"}
{"subject": "math:Zakharov_system", "predicate": "proves", "object": "in mathematics, the zakharov system is a system of non-linear partial differential equations, introd"}
{"subject": "math:Zakharov\u2013Schulman_system", "predicate": "proves", "object": "in mathematics, the zakharov\u2013schulman system is a system of nonlinear partial differential equations"}
{"subject": "math:Basis_(universal_algebra)", "predicate": "proves", "object": "in universal algebra, a basis is a structure inside of some (universal) algebras, which are called f"}
{"subject": "math:Alexandre_Marsoin", "predicate": "proves", "object": "alexandre marsoin (born march 25, 1989) is a professional racing driver from france.\n\ncareer\n\nformul"}
{"subject": "math:Brooke_Benjamin", "predicate": "proves", "object": "thomas brooke benjamin, frs (15 april 1929 \u2013 16 august 1995) was an english mathematical physicist a"}
{"subject": "math:1983_Australian_Formula_2_Championship", "predicate": "proves", "object": "the 1983 australian formula 2 championship was a cams sanctioned national motor racing title for dri"}
{"subject": "math:Nakajima_Racing", "predicate": "proves", "object": "nakajima planning co.,ltd, racing as nakajima racing, is a super formula and super gt team organized"}
{"subject": "math:Combined_injectable_birth_control", "predicate": "proves", "object": "combined injectable contraceptives (cics) are a form of hormonal birth control for women. they consi"}
{"subject": "math:Capsize_screening_formula", "predicate": "proves", "object": "the capsize screening formula (csf) is a controversial method of establishing the ability of boats t"}
{"subject": "math:Racing_Steps_Foundation", "predicate": "proves", "object": "the racing steps foundation, abbreviated as rsf, was an organisation founded by graham sharp running"}
{"subject": "math:Audrey_Stubbart", "predicate": "proves", "object": "audrey stubbart (june 9, 1895 - november 13, 2000) was an american proofreader and newspaper columni"}
{"subject": "math:Axiom_Telecom", "predicate": "proves", "object": "axiom telecom was founded by an emirati entrepreneur, faisal al bannai, with four employees at the s"}
{"subject": "math:Newmark's_influence_chart", "predicate": "proves", "object": "newmark's influence chart is an illustration used to determine the vertical pressure at any point be"}
{"subject": "math:Cecil_Balmond", "predicate": "proves", "object": "cecil balmond obe is a sri lankan\u2013british designer, artist, and writer. in 1968 balmond joined ove a"}
{"subject": "math:Koebe_quarter_theorem", "predicate": "proves", "object": "in complex analysis, a branch of mathematics, the koebe 1/4 theorem states the following:\n\nkoebe qua"}
{"subject": "math:Hartree_equation", "predicate": "proves", "object": "in 1927,  a year after the publication of the schr\u00f6dinger equation,  hartree formulated what are now"}
{"subject": "math:Generalized_Korteweg\u2013De_Vries_equation", "predicate": "proves", "object": "in mathematics, a generalized korteweg\u2013de vries equation  is the nonlinear partial differential equa"}
{"subject": "math:Algebra_&_Number_Theory", "predicate": "proves", "object": "algebra & number theory is a peer-reviewed mathematics journal published by the nonprofit organizati"}
{"subject": "math:Mathematical_Sciences_Publishers", "predicate": "proves", "object": "mathematical sciences publishers is a nonprofit publishing company run by and for mathematicians.\nit"}
{"subject": "math:Hill_differential_equation", "predicate": "proves", "object": "in mathematics, the hill equation or hill differential equation is the second-order linear ordinary "}
{"subject": "math:Rubidium_iodide", "predicate": "proves", "object": "rubidium iodide is a salt of rubidium and iodine, with the chemical formula rbi. it is a white solid"}
{"subject": "math:1954_I_Cornwall_MRC_Formula_1_Race", "predicate": "proves", "object": "the 1st cornwall mrc formula 1 race was the first cornwall mrc motor race, run to formula one rules,"}
{"subject": "math:1993_Indonesian_Grand_Prix", "predicate": "proves", "object": "the 1993 indonesian grand prix was a formula brabham race held on august 21\u201322, 1993 at the sentul i"}
{"subject": "math:Pre-boot_authentication", "predicate": "proves", "object": "pre-boot authentication (pba) or power-on authentication (poa) serves as an extension of the bios, u"}
{"subject": "math:Tiga_Race_Cars", "predicate": "proves", "object": "tiga race cars ltd. was a british auto racing constructor and team. the company was founded in 1974 "}
{"subject": "math:Generalized_estimating_equation", "predicate": "proves", "object": "in statistics, a generalized estimating equation (gee) is used to estimate the parameters of a gener"}
{"subject": "math:Graphics_Turing_test", "predicate": "proves", "object": "in computer graphics the graphics turing test is a variant of the turing test, the twist being that "}
{"subject": "math:Juho_Annala", "predicate": "proves", "object": "juho annala (born february 24, 1984), is a finnish racing driver.\n\nannala was born in lapua. after s"}
{"subject": "math:Area_theorem_(conformal_mapping)", "predicate": "proves", "object": "in the mathematical theory of conformal mappings, the area theorem\ngives an inequality satisfied by\n"}
{"subject": "math:Spheroidal_wave_function", "predicate": "proves", "object": "spheroidal wave functions are solutions of the helmholtz equation that are found by writing the equa"}
{"subject": "math:Nonstandard_finite_difference_scheme", "predicate": "proves", "object": "nonstandard finite difference schemes is a general set of methods in numerical analysis that gives n"}
{"subject": "math:Three_Cheers_for_the_Paraclete", "predicate": "proves", "object": "three cheers for the paraclete (1968) is a novel by the australian author thomas keneally. it won th"}
{"subject": "math:Andrew_Green", "predicate": "proves", "object": "andrew green or andy green may refer to:\nandrew green, baron green of deddington (born 1941), former"}
{"subject": "math:Cognate_linkage", "predicate": "proves", "object": "in kinematics, cognate linkages are linkages that ensure the same coupler curve geometry or input-ou"}
{"subject": "math:Bohr_equation", "predicate": "proves", "object": "the bohr equation, named after danish physician christian bohr (1855\u20131911), describes the amount of "}
{"subject": "math:Shunt_equation", "predicate": "proves", "object": "the shunt equation (also known as the berggren equation) quantifies the extent to which venous blood"}
{"subject": "math:Boolean_analysis", "predicate": "proves", "object": "boolean analysis was introduced by flament (1976). the goal of a boolean analysis is to detect deter"}
{"subject": "math:Euparal", "predicate": "proves", "object": "euparal is a synthetic microscopy mountant originally formulated in 1904 by professor g. gilson, the"}
{"subject": "math:Gaston_Floquet", "predicate": "proves", "object": "achille marie gaston floquet (15 december 1847, \u00e9pinal \u2013 7 october 1920, nancy) was a french mathema"}
{"subject": "math:Calogero\u2013Degasperis\u2013Fokas_equation", "predicate": "proves", "object": "in mathematics, the calogero\u2013degasperis\u2013fokas equation is the nonlinear partial differential equatio"}
{"subject": "math:1954_II_Cornwall_MRC_Formula_1_Race", "predicate": "proves", "object": "the 2nd cornwall mrc formula 1 race was a motor race, run to formula one rules, held on 2 august 195"}
{"subject": "math:Constrained_generalized_inverse", "predicate": "proves", "object": "in linear algebra, a constrained generalized inverse is obtained by solving a system of linear equat"}
{"subject": "math:The_Burden_of_Proof_(Turow_novel)", "predicate": "proves", "object": "the burden of proof, published in 1990, is scott turow's second novel, somewhat of a sequel to presu"}
{"subject": "math:Director_string", "predicate": "proves", "object": "in mathematics, in the area of lambda calculus and computation, directors or director strings are a "}
{"subject": "math:Tim_Mayer", "predicate": "proves", "object": "timothy a. mayer ii (born february 19, 1966) is an active motorsports organizer and official, having"}
{"subject": "math:The_Burden_of_Proof_(miniseries)", "predicate": "proves", "object": "the burden of proof (also scott turow's the burden of proof) is a 1992 television miniseries based o"}
{"subject": "math:The_Laws_of_Our_Fathers", "predicate": "proves", "object": "the laws of our fathers, published in 1996, is scott turow's fourth and longest novel, at 832 pages."}
{"subject": "math:1955_Cornwall_MRC_Formula_1_Race", "predicate": "proves", "object": "the 3rd cornwall mrc formula 1 race was a motor race, run to formula one rules, held on 30 may 1955 "}
{"subject": "math:Classic_Songs,_My_Way", "predicate": "proves", "object": "classic songs, my way is a 2007 album by paul anka. it follows the same formula of his previous albu"}
{"subject": "math:Reversible_Errors_(film)", "predicate": "proves", "object": "reversible errors is a 2004 american made-for-television crime thriller film based on the 2002 novel"}
{"subject": "math:Valence_isomer", "predicate": "proves", "object": "in organic chemistry, two molecules are valence isomers when they are constitutional isomers that ca"}
{"subject": "math:Davide_Valsecchi", "predicate": "proves", "object": "davide valsecchi (born 24 january 1987) is an italian former racing driver and the 2012 gp2 series c"}
{"subject": "math:First_variation_of_area_formula", "predicate": "proves", "object": "in the mathematical field of riemannian geometry, every submanifold of a riemannian manifold has a s"}
{"subject": "math:Beauville\u2013Laszlo_theorem", "predicate": "proves", "object": "in mathematics, the beauville\u2013laszlo theorem is a result in commutative algebra and algebraic geomet"}
{"subject": "math:Roland_Bruynseraede", "predicate": "proves", "object": "roland bruynseraede (born 15 october 1939) is a belgian motorsport official. he has previously worke"}
{"subject": "math:J\u00e9r\u00f4me_d'Ambrosio", "predicate": "proves", "object": "j\u00e9r\u00f4me d\u2019ambrosio (; born 27 december 1985) is a belgian former professional racing driver, motorspo"}
{"subject": "math:Cornwall_MRC_Formula_1_Race", "predicate": "proves", "object": "the cornwall mrc formula 1 race was a series of non-championship motor races run according to formul"}
{"subject": "math:1961_Syracuse_Grand_Prix", "predicate": "proves", "object": "the 11th syracuse grand prix was a motor race, run to formula one rules, held on 25 april 1961 at sy"}
{"subject": "math:Osumilite", "predicate": "proves", "object": "osumilite is a very rare potassium-sodium-iron-magnesium-aluminium silicate mineral. osumilite is pa"}
{"subject": "math:1991_Australian_Drivers'_Championship", "predicate": "proves", "object": "the 1991 australian drivers' championship was a cams sanctioned national motor racing title for driv"}
{"subject": "math:Amy_Harmon", "predicate": "proves", "object": "amy harmon (born september 17, 1968) is an american journalist. she won a pulitzer prize as a corres"}
{"subject": "math:Collapsing_manifold", "predicate": "proves", "object": "in riemannian geometry, a collapsing or collapsed manifold is an n-dimensional manifold m that admit"}
{"subject": "math:Hearken_Unto_Me_Ye_Holy_Children", "predicate": "proves", "object": "\"hearken unto me, ye holy children\" is an anthem composed by maurice greene in 1728. the first perfo"}
{"subject": "math:Brady_Kennett", "predicate": "proves", "object": "brady kennett  (born 12 february 1974) is a racing car driver from new zealand. he has raced formula"}
{"subject": "math:Cobalt(II)_sulfate", "predicate": "proves", "object": "cobalt(ii) sulfate is any of the inorganic compounds with the formula coso4(h2o)x.  usually cobalt s"}
{"subject": "math:Size_functor", "predicate": "proves", "object": "given a size pair   where  is a manifold of dimension\n and  is an arbitrary real continuous function"}
{"subject": "math:TMC1", "predicate": "proves", "object": "transmembrane channel-like protein 1 is a protein that in humans is encoded by the tmc1 gene. tmc1 c"}
{"subject": "math:Honda_RA271", "predicate": "proves", "object": "the honda ra271 was honda's first formula one racing car to enter a race. the chief engineer on the "}
{"subject": "math:1963_Syracuse_Grand_Prix", "predicate": "proves", "object": "the 12th syracuse grand prix was a motor race, run to formula one rules, held on 25 april 1963 at sy"}
{"subject": "math:1964_Syracuse_Grand_Prix", "predicate": "proves", "object": "the 13th syracuse grand prix was a motor race, run to formula one rules, held on 12 april 1964 at sy"}
{"subject": "math:Yelmer_Buurman", "predicate": "proves", "object": "yelmer evert frans buurman (born 19 february 1987) is a dutch professional racing driver. he was 3rd"}
{"subject": "math:Calcium_chromate", "predicate": "proves", "object": "calcium chromate is an inorganic compound with the formula cacro4, i.e. the chromate salt of calcium"}
{"subject": "math:Classical_electromagnetism_and_special_relativity", "predicate": "proves", "object": "the theory of special relativity plays an important role in the modern theory of classical electroma"}
{"subject": "math:Pappus_chain", "predicate": "proves", "object": "in geometry, the pappus chain is a ring of circles between two tangent circles investigated by pappu"}
{"subject": "math:Bankoff_circle", "predicate": "proves", "object": "in geometry, the bankoff circle or bankoff triplet circle is a certain archimedean circle that can b"}
{"subject": "math:Twin_circles", "predicate": "proves", "object": "in geometry, the twin circles are two special circles associated with an arbelos.\nan arbelos is dete"}
{"subject": "math:Unfolding_(functions)", "predicate": "proves", "object": "in mathematics, an unfolding of a smooth real-valued function \u0192 on a smooth manifold, is a certain f"}
{"subject": "math:Anna_Johnson_Pell_Wheeler", "predicate": "proves", "object": "anna johnson pell wheeler (n\u00e9e johnson; may 5, 1883 \u2013 march 26, 1966) was an american mathematician."}
{"subject": "math:Peakon", "predicate": "proves", "object": "in the theory of integrable systems, a peakon (\"peaked soliton\") is a soliton with discontinuous fir"}
{"subject": "math:Rondel_Racing", "predicate": "proves", "object": "rondel racing was a british racing team that competed in the formula two series between 1971 and 197"}
{"subject": "math:1965_Syracuse_Grand_Prix", "predicate": "proves", "object": "the 14th syracuse grand prix was a motor race, run to formula one rules, held on 4 april 1965 at syr"}
{"subject": "math:Jacobi\u2013Madden_equation", "predicate": "proves", "object": "the jacobi\u2013madden equation is the diophantine equation\n\n \n\nproposed by the physicist lee w. jacobi a"}
{"subject": "math:Camassa\u2013Holm_equation", "predicate": "proves", "object": "in fluid dynamics, the camassa\u2013holm equation is the integrable, dimensionless and non-linear partial"}
{"subject": "math:F1_Pole_Position_(video_game)", "predicate": "proves", "object": "f1 pole position is a 1992 racing video game for the snes, developed by human entertainment and publ"}
{"subject": "math:Explicit_substitution", "predicate": "proves", "object": "in computer science, lambda calculi are said to have explicit substitutions if they pay special atte"}
{"subject": "math:Schoch_line", "predicate": "proves", "object": "in geometry, the schoch line is a line defined from an arbelos and named by peter woo after thomas s"}
{"subject": "math:Circle_packing", "predicate": "proves", "object": "in geometry, circle packing is the study of the arrangement of circles (of equal or varying sizes) o"}
{"subject": "math:James_Walker_(racing_driver)", "predicate": "proves", "object": "james walker (born 25 august 1983, in jersey) is a professional racing driver from great britain.\n\nc"}
{"subject": "math:1965_Rand_Grand_Prix", "predicate": "proves", "object": "the 8th rand grand prix was a motor race, run to formula one-style rules, held on 4 december 1965 at"}
{"subject": "math:TI-34", "predicate": "proves", "object": "the ti-34 name is a branding used by texas instruments for its mid-range scientific calculators aime"}
{"subject": "math:Flype", "predicate": "proves", "object": "in the mathematical theory of knots, a flype is a kind of manipulation of knot and link diagrams \nus"}
{"subject": "math:Rational_fideism", "predicate": "proves", "object": "rational fideism is the philosophical view that considers faith to be precursor for any reliable kno"}
{"subject": "math:Photon_diffusion_equation", "predicate": "proves", "object": "photon diffusion equation is a second order partial differential equation describing the time behavi"}
{"subject": "math:Chebyshev_center", "predicate": "proves", "object": "in geometry, the chebyshev center of a bounded set  having non-empty interior is the center of the m"}
{"subject": "math:1964_Rand_Grand_Prix", "predicate": "proves", "object": "the 7th rand grand prix was a motor race, run to formula one rules, held on 12 december 1964 at kyal"}
{"subject": "math:Sard_(disambiguation)", "predicate": "proves", "object": "sard is a dark reddish-brown variety of the mineral chalcedony, similar to carnelian.\n\nsard may also"}
{"subject": "math:Affine_Grassmannian", "predicate": "proves", "object": "in mathematics, the affine grassmannian of an algebraic group g over a field k is an ind-scheme\u2014a co"}
{"subject": "math:1963_Rand_Grand_Prix", "predicate": "proves", "object": "the 6th rand grand prix was a motor race, run to formula one rules, held on 14 december 1963 at kyal"}
{"subject": "math:Dispersionless_equation", "predicate": "proves", "object": "dispersionless (or quasi-classical) limits of integrable partial differential equations (pde)  arise"}
{"subject": "math:Archimedes'_quadruplets", "predicate": "proves", "object": "in geometry, archimedes' quadruplets are four congruent circles associated with an arbelos. introduc"}
{"subject": "math:Mika_M\u00e4ki", "predicate": "proves", "object": "mika m\u00e4ki (born february 27, 1988) is a finnish former racing driver.\n\ncareer \n\nmika started in kart"}
{"subject": "math:Lehman's_laws_of_software_evolution", "predicate": "proves", "object": "in software engineering, the laws of software evolution refer to a series of laws that lehman and be"}
{"subject": "math:1962_Rand_Grand_Prix", "predicate": "proves", "object": "the 5th rand grand prix was a motor race, run to formula one rules, held on 15 december 1962 at kyal"}
{"subject": "math:Homicidal_ideation", "predicate": "proves", "object": "homicidal ideation is a common medical term for thoughts about homicide. there is a range of homicid"}
{"subject": "math:Salinon", "predicate": "proves", "object": "the salinon (meaning 'salt-cellar' in greek) is a geometrical figure that consists of four semicircl"}
{"subject": "math:Introduction_to_M-theory", "predicate": "proves", "object": "in non-technical terms, m-theory presents an idea about the basic substance of the universe. as of 2"}
{"subject": "math:Rand_Grand_Prix", "predicate": "proves", "object": "the rand grand prix was a motor race held at various circuits in south africa. the first event took "}
{"subject": "math:Julien_Jousse", "predicate": "proves", "object": "julien jousse (born 21 january 1986 in les issambres) is a professional racing driver from france.\n\n"}
{"subject": "math:G2-structure", "predicate": "proves", "object": "{{displaytitle:g2-structure}}\n\nin differential geometry, a -structure is an important type of g-stru"}
{"subject": "math:Jeff_Roe", "predicate": "proves", "object": "jeff roe (born september 25, 1970) is an american political consultant and strategist for the republ"}
{"subject": "math:Mollweide", "predicate": "proves", "object": "mollweide may refer to:\n\nkarl mollweide, mathematician (1774-1825).\nmollweide projection, a pseudocy"}
{"subject": "math:Multiphase_topology_optimisation", "predicate": "proves", "object": "the multi phase topology optimisation is a simulation technique based on the principle of the finite"}
{"subject": "math:Boris_Aronov", "predicate": "proves", "object": "boris aronov (born march 13, 1963) is a computer scientist, currently a professor at the tandon scho"}
{"subject": "math:Katsuya_Eda", "predicate": "proves", "object": "is a mathematician, currently a professor at waseda university. his research centers on set theory a"}
{"subject": "math:Essential_dimension", "predicate": "proves", "object": "in mathematics, essential dimension is an invariant defined for certain algebraic structures such as"}
{"subject": "math:Dynamic_Microprocessor_Associates", "predicate": "proves", "object": "dynamic microprocessor associates, inc. (dma), was a software company in the united states. though b"}
{"subject": "math:Rotating_calipers", "predicate": "proves", "object": "in computational geometry, the method of rotating calipers is an algorithm design technique that can"}
{"subject": "math:Potassium_hexacyanochromate(III)", "predicate": "proves", "object": "potassium hexacyanochromate(iii) is an inorganic compound with the formula k3[cr(cn)6]. it consists "}
{"subject": "math:Dichlorobis(ethylenediamine)nickel(II)", "predicate": "proves", "object": "dichlorobis(ethylenediamine)nickel(ii) is the inorganic compound with the formula nicl2(en)2, where "}
{"subject": "math:Charles_Thorn", "predicate": "proves", "object": "charles thorn (born 14 august 1946) is a professor of physics at university of florida in gainesvill"}
{"subject": "math:Matra_(disambiguation)", "predicate": "proves", "object": "matra is a french company covering a wide range of activities mainly related to automobile, aeronaut"}
{"subject": "math:Applicative_computing_systems", "predicate": "proves", "object": "applicative computing systems, or acs are the systems of object calculi founded on combinatory logic"}
{"subject": "math:Reuptake_inhibitor", "predicate": "proves", "object": "a reuptake inhibitor (ri) is a type of drug known as a reuptake modulator that inhibits the plasmale"}
{"subject": "math:Clifford_Hugh_Dowker", "predicate": "proves", "object": "clifford hugh dowker (; march 2, 1912 \u2013 october 14, 1982) was a topologist known for his work in poi"}
{"subject": "math:Larson\u2013Miller_parameter", "predicate": "proves", "object": "the larson\u2013miller parameter is a means of predicting the lifetime of material vs. time and temperatu"}
{"subject": "math:Nadorite", "predicate": "proves", "object": "nadorite is a mineral with the chemical formula pbsbo2cl. it crystallizes in the orthorhombic crysta"}
{"subject": "math:Amado_Mio", "predicate": "proves", "object": "\"amado mio\" is a song from the classic 1946 film noir gilda, written by doris fisher and allan rober"}
{"subject": "math:Love_on_Top_of_Love", "predicate": "proves", "object": "\"love on top of love\" is a song by grace jones released in 1989 as the first single from jones' nint"}
{"subject": "math:Dialectica_interpretation", "predicate": "proves", "object": "in proof theory, the dialectica interpretation is a proof interpretation of intuitionistic logic (he"}
{"subject": "math:Marco_Barba", "predicate": "proves", "object": "marco antonio barba l\u00f3pez (born 10 november 1985 in seville) is a spanish racing driver and brother "}
{"subject": "math:Dol\u00e9ans-Dade_exponential", "predicate": "proves", "object": "in stochastic calculus, the dol\u00e9ans-dade exponential or stochastic exponential of a semimartingale x"}
{"subject": "math:Isomonodromic_deformation", "predicate": "proves", "object": "in mathematics, the equations governing the isomonodromic deformation of meromorphic linear systems "}
{"subject": "math:Klaus_Wagner", "predicate": "proves", "object": "klaus wagner (march 31, 1910 \u2013 february 6, 2000) was a german mathematician known for his contributi"}
{"subject": "math:Spectral_theory_of_ordinary_differential_equations", "predicate": "proves", "object": "in mathematics, the spectral theory of ordinary differential equations is the part of spectral theor"}
{"subject": "math:Vandal-resistant_switch", "predicate": "proves", "object": "vandal-resistant switches (also referred to as vandal-proof switches) are electrical switches design"}
{"subject": "math:Voter_ID_(India)", "predicate": "proves", "object": "the indian voter id card (officially the elector's photo identity card (epic)) is an identity docume"}
{"subject": "math:Hilbert\u2013Poincar\u00e9_series", "predicate": "proves", "object": "in mathematics, and in particular in the field of algebra, a hilbert\u2013poincar\u00e9 series (also known und"}
{"subject": "math:Varignon's_theorem", "predicate": "proves", "object": "in euclidean geometry, varignon's theorem holds that the midpoints of the sides of an arbitrary quad"}
{"subject": "math:Tris(2-aminoethyl)amine", "predicate": "proves", "object": "tris(2-aminoethyl)amine is the organic compound with the formula n(ch2ch2nh2)3. this colourless liqu"}
{"subject": "math:Eric_Charnov", "predicate": "proves", "object": "eric lee charnov (born october 29, 1947) is an american evolutionary ecologist.  he is best known fo"}
{"subject": "math:D_notation", "predicate": "proves", "object": "d notation or d-notation may refer to:\n\n d notation (computing), scientific notation for double prec"}
{"subject": "math:Nakajima_Satoru_Kansh\u016b_F1_Super_License", "predicate": "proves", "object": "is a 1992 racing video game for the sega mega drive that allows for either single season or exhibiti"}
{"subject": "math:Hagen\u2013Poiseuille_equation", "predicate": "proves", "object": "in nonideal fluid dynamics, the hagen\u2013poiseuille equation, also known as the hagen\u2013poiseuille law, p"}
{"subject": "math:Induced_homomorphism", "predicate": "proves", "object": "in mathematics, especially in algebraic topology, an induced homomorphism is a homomorphism derived "}
{"subject": "math:2006_Buenos_Aires_Grand_Prix_Race_2", "predicate": "proves", "object": "results from the 2006 buenos aires grand prix held at buenos aires on october 29, 2006, in the aut\u00f3d"}
{"subject": "math:Carletonite", "predicate": "proves", "object": "carletonite is a rare silicate mineral with formula kna4ca4(co3)4si8o18(f,oh)\u00b7(h2o).\n\nit is a phyllo"}
{"subject": "math:Non-rocket_spacelaunch", "predicate": "proves", "object": "non-rocket spacelaunch refers to theoretical concepts for launch into space where much of the speed "}
{"subject": "math:Centerpoint_(geometry)", "predicate": "proves", "object": "in statistics and computational geometry, the notion of  centerpoint is a generalization of the medi"}
{"subject": "math:1961_Rand_Grand_Prix", "predicate": "proves", "object": "the 4th rand grand prix was a motor race, run to south african formula one-style rules, held on 9 de"}
{"subject": "math:Hulme_F1", "predicate": "proves", "object": "the hulme f1 was a proposed sports car to be manufactured by new zealand boutique company hulme supe"}
{"subject": "math:1-Methylnaphthalene", "predicate": "proves", "object": "1-methylnaphthalene is an organic compound with the formula ch3c10h7. it is a colorless liquid. it i"}
{"subject": "math:Reasonable_doubt_(disambiguation)", "predicate": "proves", "object": "reasonable doubt refers to the legal standard of proof required in most criminal cases.\n\nreasonable "}
{"subject": "math:English_bagpipes", "predicate": "proves", "object": "when bagpipes arrived in england is unknown, there is some evidence to suggest anglo-saxon times, ho"}
{"subject": "math:Paracetamol/metoclopramide", "predicate": "proves", "object": "paracetamol/metoclopramide hydrochloride is an oral fixed dose combination prescription medication c"}
{"subject": "math:Soundproof_(film)", "predicate": "proves", "object": "soundproof is a single british television drama film, written by sukey fisher (under the pseudonym o"}
{"subject": "math:1961_Lewis-Evans_Trophy", "predicate": "proves", "object": "the 5th lewis-evans trophy was a motor race, run to formula one rules, held on 1 october 1961 at bra"}
{"subject": "math:Adam_Christodoulou", "predicate": "proves", "object": "adam robert christodoulou (born 11 june 1989, in lichfield) is a greek-british racing driver, who wo"}
{"subject": "math:Syracuse_Grand_Prix", "predicate": "proves", "object": "the syracuse grand prix was a motor race held at syracuse circuit in sicily, italy. for most of its "}
{"subject": "math:1961_Silver_City_Trophy", "predicate": "proves", "object": "the sixth silver city trophy was a motor race, run to formula one rules, held on 3 june 1961 at bran"}
{"subject": "math:Business_war_games", "predicate": "proves", "object": "business war gaming (corporate war gaming) or business wargaming is an adaptation of the art of simu"}
{"subject": "math:Isolated_power", "predicate": "proves", "object": "in baseball, isolated power or iso is a sabermetric computation used to measure a batter's raw power"}
{"subject": "math:Conway_notation_(knot_theory)", "predicate": "proves", "object": "in knot theory, conway notation, invented by john horton conway, is a way of describing knots that m"}
{"subject": "math:Simona_de_Silvestro", "predicate": "proves", "object": "simona de silvestro (born 1 september 1988) is a swiss-italian racing driver, who is currently emplo"}
{"subject": "math:DPCA", "predicate": "proves", "object": "dpca may refer to:\n\n democratic party committee abroad, the official organization of the democratic "}
{"subject": "math:Polar_Ice_(vodka)", "predicate": "proves", "object": "polar ice is a canadian vodka produced by corby distilleries ltd. produced from canadian corn, it is"}
{"subject": "math:Affine_Grassmannian_(manifold)", "predicate": "proves", "object": "in mathematics, there are two distinct meanings of the term affine grassmannian. in one it is the ma"}
{"subject": "math:2007_Spanish_Formula_Three_Championship", "predicate": "proves", "object": "the 2007 spanish formula three championship was the seventh spanish formula three championship seaso"}
{"subject": "math:1961_London_Trophy", "predicate": "proves", "object": "the 9th london trophy was a motor race, run to formula one rules, held on 22 may 1961 at crystal pal"}
{"subject": "math:Poincar\u00e9_space", "predicate": "proves", "object": "in algebraic topology, a poincar\u00e9 space is an n-dimensional topological space with a distinguished e"}
{"subject": "math:1-Phenylethylamine", "predicate": "proves", "object": "1-phenylethylamine is the organic compound with the formula c6h5ch(nh2)ch3. this primary amine is a "}
{"subject": "math:Numerov's_method", "predicate": "proves", "object": "numerov's method (also called  cowell's method) is a numerical method to solve ordinary differential"}
{"subject": "math:Polar_sine", "predicate": "proves", "object": "in geometry, the polar sine generalizes the sine function of angle to the vertex angle of a polytope"}
{"subject": "math:3-Methylpyridine", "predicate": "proves", "object": "3-methylpyridine or 3-picoline, is an organic compound with formula 3-ch3c5h4n. it is one of three p"}
{"subject": "math:1980_British_Formula_One_Championship", "predicate": "proves", "object": "the 1980 british formula one championship (formally the 1980 aurora afx f1 championship) was the thi"}
{"subject": "math:1961_Coppa_Italia", "predicate": "proves", "object": "the 1st coppa italia was a motor race, run to formula one rules, held on 12 october 1961 at vallelun"}
{"subject": "math:Supersymmetry_nonrenormalization_theorems", "predicate": "proves", "object": "in theoretical physics a nonrenormalization theorem is a limitation on how a certain quantity in the"}
{"subject": "math:Shiroko_Station", "predicate": "proves", "object": "is a passenger railway station in located in the city of suzuka,  mie prefecture, japan, operated by"}
{"subject": "math:1961_Vienna_Grand_Prix", "predicate": "proves", "object": "the 2nd vienna grand prix was a motor race, run to formula one rules, held on 16 april 1961 at asper"}
{"subject": "math:Generalized_Verma_module", "predicate": "proves", "object": "in mathematics, generalized verma modules are a generalization of a (true) verma module, and are obj"}
{"subject": "math:Tetramethyltin", "predicate": "proves", "object": "tetramethyltin is an organometallic compound with the formula (ch3)4sn. this liquid, one of the simp"}
{"subject": "math:1960_Glover_Trophy", "predicate": "proves", "object": "the 8th glover trophy was a motor race, run to formula one rules, held on 18 april 1960 at goodwood "}
{"subject": "math:Geometry_Festival", "predicate": "proves", "object": "the geometry festival is an annual mathematics conference held in the united states.\n\nthe festival h"}
{"subject": "math:Marco_Bonanomi", "predicate": "proves", "object": "marco bonanomi (born 12 march 1985 in lecco) is an italian professional racing driver.\n\ncareer\n\nform"}
{"subject": "math:Trifluorotoluene", "predicate": "proves", "object": "trifluorotoluene is an organic compound with the formula of c6h5cf3.  this colorless fluorocarbon is"}
{"subject": "math:1966_Syracuse_Grand_Prix", "predicate": "proves", "object": "the 15th syracuse grand prix was a motor race, run to formula one rules, held on 1 may 1966 at syrac"}
{"subject": "math:Niels_Erik_N\u00f8rlund", "predicate": "proves", "object": "niels erik n\u00f8rlund  (26 october 1885, in slagelse \u2013 4 july 1981, in copenhagen) was a danish mathema"}
{"subject": "math:Silicon_tetrabromide", "predicate": "proves", "object": "silicon tetrabromide, also known as tetrabromosilane, is the inorganic compound with the formula sib"}
{"subject": "math:1967_Syracuse_Grand_Prix", "predicate": "proves", "object": "the 16th syracuse grand prix was a motor race, run to formula one rules, held on 21 may 1967 at syra"}
{"subject": "math:Formula_calculator", "predicate": "proves", "object": "a formula calculator is a software calculator that can perform a calculation in two steps:\n\n enter t"}
{"subject": "math:Carbon_subsulfide", "predicate": "proves", "object": "carbon subsulfide is an organic, sulfur-containing chemical compound with the formula  and structure"}
{"subject": "math:Diphenyl_ether", "predicate": "proves", "object": "diphenyl ether is the organic compound with the formula (c6h5)2o. it is a colorless, low-melting sol"}
{"subject": "math:Ministry_of_Health_(Chile)", "predicate": "proves", "object": "the ministry of health of chile (), also known as minsal, is the cabinet-level administrative office"}
{"subject": "math:Laplace_invariant", "predicate": "proves", "object": "in differential equations, the laplace invariant of any of certain differential operators is a certa"}
{"subject": "math:Jan_Marcussen", "predicate": "proves", "object": "a. jan marcussen is a preacher, and marriage counselor. he is most known for views and promotion, th"}
{"subject": "math:Gabriel_Ponce_de_Le\u00f3n", "predicate": "proves", "object": "gabriel ponce de le\u00f3n (born 14 march 1979 in jun\u00edn, buenos aires) is an argentine racing driver. he "}
{"subject": "math:Emiliano_Spataro", "predicate": "proves", "object": "emiliano spataro (born may 25, 1976, in lan\u00fas, buenos aires) is an argentine racing driver. he has r"}
{"subject": "math:BODIPY", "predicate": "proves", "object": "bodipy is the technical common name of a chemical compound with formula , whose molecule consists of"}
{"subject": "math:Roll's_critique", "predicate": "proves", "object": "roll's critique is a famous  analysis of the validity of empirical tests of the capital asset pricin"}
{"subject": "math:PMDTA", "predicate": "proves", "object": "pmdta (n,n,,n,n-pentamethyldiethylenetriamine) is an organic compound with the formula [(ch3)2nch2ch"}
{"subject": "math:Dihydroxybenzoic_acid", "predicate": "proves", "object": "dihydroxybenzoic acids (dhba) are a type of phenolic acids.\n\nthere are six main compounds, having al"}
{"subject": "math:Vineam_Domini", "predicate": "proves", "object": "is an apostolic constitution in the form of a papal bull promulgated by pope clement xi in 1705 whic"}
{"subject": "math:ZSM-5", "predicate": "proves", "object": "zsm-5, zeolite socony mobil\u20135 (framework type  mfi from  zsm-5 (five)), is an aluminosilicate zeolit"}
{"subject": "math:MCRL2", "predicate": "proves", "object": "mcrl2 is a specification language for describing concurrent discrete event systems. it is accompanie"}
{"subject": "math:Consuta", "predicate": "proves", "object": "consuta was a form of construction of watertight hulls for boats and marine aircraft, comprising fou"}
{"subject": "math:Funkcronomicon", "predicate": "proves", "object": "funkcronomicon is a 1995 various artists collection of tracks produced by bill laswell under the nam"}
{"subject": "math:Oxotrichlorobis(triphenylphosphine)rhenium(V)", "predicate": "proves", "object": "oxotrichlorobis(triphenylphosphine)rhenium(v) is the chemical compound with the formula reocl3(pph3)"}
{"subject": "math:Lineament", "predicate": "proves", "object": "see also line (geometry)\n\na lineament is a linear feature in a landscape which is an expression of a"}
{"subject": "math:ABC@Home", "predicate": "proves", "object": "abc@home was an educational and non-profit network computing project finding abc-triples related to "}
{"subject": "math:Manganese(II,III)_oxide", "predicate": "proves", "object": "manganese(ii,iii) oxide is the chemical compound with formula mn3o4. manganese is present in two oxi"}
{"subject": "math:Omer_Younas", "predicate": "proves", "object": "omer younas (born april 14, 1988 in faisalabad, pakistan) is a pakistani racing driver who drove in "}
{"subject": "math:Beltrami_identity", "predicate": "proves", "object": "the beltrami identity, named after eugenio beltrami, is a special case of the euler\u2013lagrange equatio"}
{"subject": "math:Birrus", "predicate": "proves", "object": "a birrus or birrus brittanicus was a rainproof, hooded woollen cloak (or simply a hood alone), chara"}
{"subject": "math:Hunter\u2013Saxton_equation", "predicate": "proves", "object": "in mathematical physics, the hunter\u2013saxton equation\n\nis an integrable pde that arises in the theoret"}
{"subject": "math:Marden's_theorem", "predicate": "proves", "object": "[[file:marden theorem.svg|thumb|a triangle and its steiner inellipse. the zeroes of  are the black d"}
{"subject": "math:Steiner_inellipse", "predicate": "proves", "object": "in geometry, the steiner inellipse, midpoint inellipse, or midpoint ellipse of a triangle is the uni"}
{"subject": "math:Diphosphorus_tetraiodide", "predicate": "proves", "object": "diphosphorus tetraiodide is an orange crystalline solid with the formula p2i4. it has been used as a"}
{"subject": "math:Tetrakis(hydroxymethyl)phosphonium_chloride", "predicate": "proves", "object": "tetrakis(hydroxymethyl)phosphonium chloride (thpc) is an organophosphorus compound with the chemical"}
{"subject": "math:Pappus", "predicate": "proves", "object": "pappus may refer to:\n\n pappus (botany), a structure within certain flowers\n pappus (bug), a genus of"}
{"subject": "math:Hyperbolic_point", "predicate": "proves", "object": "in mathematics, a hyperbolic point is a certain kind of point, one of:\na point in a hyperbolic geome"}
{"subject": "math:Manganese(II)_oxide", "predicate": "proves", "object": "manganese(ii) oxide  is an inorganic compound with chemical formula mno. it forms green crystals.  t"}
{"subject": "math:Ministry_of_Communications_(Pakistan)", "predicate": "proves", "object": "the ministry of communications (; reporting name: mocom), is a cabinet-level ministry of the pakista"}
{"subject": "math:Dawn_Landes", "predicate": "proves", "object": "dawn landes (born december 5, 1980) is an american singer-songwriter and musician. she is originally"}
{"subject": "math:Fixed_verse", "predicate": "proves", "object": "fixed verse forms are a kind of template or formula that poetry can be composed in. the opposite of "}
{"subject": "math:Geometry_Wars:_Retro_Evolved_2", "predicate": "proves", "object": "geometry wars: retro evolved 2 is a multidirectional shooter video game created by activision subsid"}
{"subject": "math:Vertex_angle", "predicate": "proves", "object": "in geometry, a vertex  is an angle (shape) associated with a vertex of an n-dimensional polytope. in"}
{"subject": "math:Spiral_of_Theodorus", "predicate": "proves", "object": "in geometry, the spiral of theodorus (also called square root spiral, spiral of einstein, pythagorea"}
{"subject": "math:1,1,2-Trichloro-1,2,2-trifluoroethane", "predicate": "proves", "object": "1,1,2-trichloro-1,2,2-trifluoroethane, also called trichlorotrifluoroethane or cfc-113, is a chlorof"}
{"subject": "math:Tert-Butyl_isocyanide", "predicate": "proves", "object": "tert-butyl isocyanide is an organic compound with the formula me3cnc (me = methyl, ch3).  it is an i"}
{"subject": "math:Mangler_Transformation", "predicate": "proves", "object": "mangler transformation, also known as mangler-stepanov transformation (stepanov 1947, mangler 1948, "}
{"subject": "math:Simply_connected_at_infinity", "predicate": "proves", "object": "in topology, a branch of mathematics, a topological space x is said to be simply connected at infini"}
{"subject": "math:Unified_theory_of_acceptance_and_use_of_technology", "predicate": "proves", "object": "the unified theory of acceptance and use of technology (utaut) is a technology acceptance model form"}
{"subject": "math:Lam\u00e9_function", "predicate": "proves", "object": "in mathematics, a lam\u00e9 function, or ellipsoidal harmonic function, is a solution of lam\u00e9's equation,"}
{"subject": "math:List_of_Formula_Renault_2.0_champions", "predicate": "proves", "object": "this is a list of formula renault 2.0 champions, a list of racing drivers who have been named champi"}
{"subject": "math:Limiting_density_of_discrete_points", "predicate": "proves", "object": "in information theory, the limiting density of discrete points is an adjustment to the formula of cl"}
{"subject": "math:Sulston_score", "predicate": "proves", "object": "the sulston score is an equation used in dna mapping to numerically assess the likelihood that a giv"}
{"subject": "math:Antimony_tetroxide", "predicate": "proves", "object": "antimony tetroxide is an inorganic compound with the formula sb2o4.  this material, which exists as "}
{"subject": "math:Multiple_sexual_ornaments", "predicate": "proves", "object": "many species have multiple sexual ornaments, whereby  females select mating partners using several c"}
{"subject": "math:Carath\u00e9odory_conjecture", "predicate": "proves", "object": "in differential geometry, the carath\u00e9odory conjecture is a mathematical conjecture attributed to con"}
{"subject": "math:Engel_group", "predicate": "proves", "object": "in mathematics, an element x of a lie group or a lie algebra is called an n-engel element, named aft"}
{"subject": "math:Manganese(III)_oxide", "predicate": "proves", "object": "manganese(iii) oxide is a chemical compound with the formula mn2o3.  it occurs in nature as the mine"}
{"subject": "math:Cervantite", "predicate": "proves", "object": "cervantite is an antimony oxide mineral with formula sb3+sb5+o4 (antimony tetroxide).\n\nit was first "}
{"subject": "math:Husky_(computer)", "predicate": "proves", "object": "the dvw husky is a handheld british rugged computer issued in 1981 by dvw electronics.\n\nthe husky wa"}
{"subject": "math:Joint_embedding_property", "predicate": "proves", "object": "in universal algebra and model theory, a class of structures k is said to have the joint embedding p"}
{"subject": "math:Akhtenskite", "predicate": "proves", "object": "akhtenskite is a manganese oxide mineral with the chemical formula of mno2 (or: \u03b5-mn4+o2) that was n"}
{"subject": "math:1-Methylimidazole", "predicate": "proves", "object": "1-methylimidazole or n-methylimidazole is an aromatic heterocyclic organic compound with the formula"}
{"subject": "math:Principlism", "predicate": "proves", "object": "principlism is an applied ethics approach to the examination of moral dilemmas that is based upon th"}
{"subject": "math:2008_Formula_BMW_Europe_season", "predicate": "proves", "object": "the 2008 formula bmw europe season was the first season of a new open wheel racing series that resul"}
{"subject": "math:LISREL", "predicate": "proves", "object": "lisrel (linear structural relations) is a proprietary statistical software package used in structura"}
{"subject": "math:Operation_Killer", "predicate": "proves", "object": "operation killer was the start of the second major counter offensive launched by united nations comm"}
{"subject": "math:Anandite", "predicate": "proves", "object": "anandite is a rare phyllosilicate with formula . it crystallizes in the monoclinic crystal system. i"}
{"subject": "math:Ernst_equation", "predicate": "proves", "object": "in mathematics, the ernst equation is an integrable non-linear partial differential equation, named "}
{"subject": "math:Elkstones", "predicate": "proves", "object": "elkstones is a small hamlet in the parish of warslow and elkstones, consisting of upper elkstone and"}
{"subject": "math:Ekeby-Almby", "predicate": "proves", "object": "ekeby-almby is a locality situated in \u00f6rebro municipality, \u00f6rebro county, sweden with 1,271 inhabita"}
{"subject": "math:Modal_algebra", "predicate": "proves", "object": "in algebra and logic, a modal algebra is a structure  such that\n is a boolean algebra,\n is a unary o"}
{"subject": "math:Sodium_tetraphenylborate", "predicate": "proves", "object": "sodium tetraphenylborate is the organic compound with the formula nab(c6h5)4.  it is a salt, wherein"}
{"subject": "math:Stibiconite", "predicate": "proves", "object": "stibiconite is an antimony oxide mineral with formula: sb3o6(oh). its name originates from greek  ()"}
{"subject": "math:Akimotoite", "predicate": "proves", "object": "akimotoite is a rare silicate mineral in the ilmenite group of minerals, with the chemical formula ."}
{"subject": "math:Juncheng_Wei", "predicate": "proves", "object": "juncheng wei  (; born 1968) is a chinese mathematician working in the area of nonlinear partial diff"}
{"subject": "math:Locally_finite_space", "predicate": "proves", "object": "in the mathematical field of topology, a locally finite space is a topological space in which every "}
{"subject": "math:Participatory_modeling", "predicate": "proves", "object": "participatory modeling is a purposeful learning process for action that engages the implicit and exp"}
{"subject": "math:Cruentaren", "predicate": "proves", "object": "cruentarens are a group of macrolides secreted by the myxobacteria byssovorax cruenta.  there are tw"}
{"subject": "math:Gemma_Garrett", "predicate": "proves", "object": "gemma dawn garrett (born 25 september 1981, belfast, northern ireland) is a former holder of the tit"}
{"subject": "math:Plastic_compounding", "predicate": "proves", "object": "compounding consists of preparing plastic formulations by mixing and/or blending polymers and additi"}
{"subject": "math:Aluminium_monochloride", "predicate": "proves", "object": "aluminium monochloride, or chloridoaluminium is the metal halide with the formula alcl.  aluminium m"}
{"subject": "math:Dichlorotetrakis(dimethylsulfoxide)ruthenium(II)", "predicate": "proves", "object": "dichlorotetrakis(dimethyl sulfoxide) ruthenium(ii) describes coordination compounds with the formula"}
{"subject": "math:Pyrimidone", "predicate": "proves", "object": "pyrimidone is the name given to either of two heterocyclic compounds with the formula c4h4n2o: 2-pyr"}
{"subject": "math:Phengite", "predicate": "proves", "object": "phengite is a series name for dioctahedral micas of composition k(al,mg)2(oh)2(si,al)4o10. it is com"}
{"subject": "math:Associated_prime", "predicate": "proves", "object": "in abstract algebra, an associated prime of a module m over a ring r is a type of prime ideal of r t"}
{"subject": "math:WIEN2k", "predicate": "proves", "object": "the wien2k package is a computer program written in fortran which performs quantum mechanical calcul"}
{"subject": "math:Diego_Nunes_(racing_driver)", "predicate": "proves", "object": "diego nunes (born july 12, 1986) is a brazilian racing driver currently competing in tcr south ameri"}
{"subject": "math:Henry_Yule_Oldham", "predicate": "proves", "object": "henry yule oldham, (14 december 1862 \u2013 14 march 1951) was a teacher and geographer who, in 1901, con"}
{"subject": "math:2,4-Dichlorophenol", "predicate": "proves", "object": "2,4-dichlorophenol (2,4-dcp) is a chlorinated derivative of phenol with the molecular formula cl2c6h"}
{"subject": "math:Hans_Samelson", "predicate": "proves", "object": "hans samelson (3 march 1916 \u2013 22 september 2005) was a german-american mathematician who worked in d"}
{"subject": "math:Supercompact", "predicate": "proves", "object": "in mathematics, the term supercompact may refer to:\n in set theory, a supercompact cardinal\n in topo"}
{"subject": "math:Arsenic_trifluoride", "predicate": "proves", "object": "arsenic trifluoride is a chemical compound of arsenic and fluorine with the chemical formula asf3. i"}
{"subject": "math:O-Anisidine", "predicate": "proves", "object": "o-anisidine (2-anisidine) is an organic compound with the formula ch3oc6h4nh2. a colorless liquid, c"}
{"subject": "math:M-Anisidine", "predicate": "proves", "object": "m-anisidine is an organic compound with the formula ch3oc6h4nh2. a clear light yellow or amber color"}
{"subject": "math:P-Anisidine", "predicate": "proves", "object": "p-anisidine (or para-anisidine) is an organic compound with the formula ch3oc6h4nh2. a white solid, "}
{"subject": "math:Oil_Industry_Safety_Directorate", "predicate": "proves", "object": "the oil industry safety directorate (oisd) is a technical advisory body in india. it was established"}
{"subject": "math:Optimal_projection_equations", "predicate": "proves", "object": "in control theory,  optimal projection equations constitute necessary and sufficient conditions for "}
{"subject": "math:John_Casey_(mathematician)", "predicate": "proves", "object": "john casey (12 may 1820, kilbehenny, county limerick, ireland \u2013 3 january 1891, dublin) was a respec"}
{"subject": "math:TPPTS", "predicate": "proves", "object": "3,3\u2032,3\u2032\u2032-phosphanetriyltris(benzenesulfonic acid) trisodium salt (abbreviated tppts), is an organic "}
{"subject": "math:Gustave_Choquet", "predicate": "proves", "object": "gustave choquet (; 1 march 1915 \u2013 14 november 2006) was a french mathematician.\n\nchoquet was born in"}
{"subject": "math:Net_tonnage", "predicate": "proves", "object": "net tonnage (nt, n.t. or nt) is a dimensionless index calculated from the total moulded volume of th"}
{"subject": "math:Bismuth_trifluoride", "predicate": "proves", "object": "bismuth(iii) fluoride or bismuth trifluoride is a chemical compound of bismuth and fluorine. the che"}
{"subject": "math:Nickel(II)_bromide", "predicate": "proves", "object": "nickel(ii) bromide is the name for the inorganic compounds with the chemical formula nibr2(h2o)x. th"}
{"subject": "math:Mercury(I)_iodide", "predicate": "proves", "object": "mercury(i) iodide is a chemical compound of mercury and iodine. the chemical formula is hg2i2. it is"}
{"subject": "math:Chromium_nitride", "predicate": "proves", "object": "chromium nitride is a chemical compound of chromium and nitrogen with the formula crn. it is very ha"}
{"subject": "math:Tin(II)_sulfide", "predicate": "proves", "object": "tin(ii) sulfide is a chemical compound of tin and sulfur. the chemical formula is sns. its natural o"}
{"subject": "math:United_Nations_Interregional_Crime_and_Justice_Res", "predicate": "proves", "object": "the united nations interregional crime and justice research institute (unicri) is one of the five un"}
{"subject": "math:Algebraic_statistics", "predicate": "proves", "object": "algebraic statistics is the use of algebra to advance statistics. algebra has been useful for experi"}
{"subject": "math:Direct_multiple_shooting_method", "predicate": "proves", "object": "in the area of mathematics known as numerical ordinary differential equations, the direct multiple s"}
{"subject": "math:Logical_spreadsheet", "predicate": "proves", "object": "a logical spreadsheet is a spreadsheet in which formulas take the form of logical constraints rather"}
{"subject": "math:Peroxybenzoic_acid", "predicate": "proves", "object": "peroxybenzoic acid is an organic compound with the formula c6h5co3h. it is the simplest aryl peroxy "}
{"subject": "math:Michler's_ketone", "predicate": "proves", "object": "michler's ketone is an organic compound with the formula of [(ch3)2nc6h4]2co. this electron-rich der"}
{"subject": "math:Paolo_Maria_Nocera", "predicate": "proves", "object": "paolo maria nocera (born july 25, 1985 in rome) is an italian former racing driver.\n\ncareer\n\nformula"}
{"subject": "math:Kouichi_Yamashita", "predicate": "proves", "object": "is a drifting driver who in 2008 made the switch from d1 grand prix into the us formula d series bef"}
{"subject": "math:Giacomo_Ricci", "predicate": "proves", "object": "giacomo ricci (born 30 march 1985 in baveno) is an italian racing driver.\n\ncareer\n\nformula bmw\nricci"}
{"subject": "math:Cotangent_complex", "predicate": "proves", "object": "in mathematics, the cotangent complex is a common generalisation of the cotangent sheaf, normal bund"}
{"subject": "math:A\u00b9_homotopy_theory", "predicate": "proves", "object": "in algebraic geometry and algebraic topology, branches of mathematics,  homotopy theory or motivic h"}
{"subject": "math:Betafite", "predicate": "proves", "object": "betafite is a mineral group in the pyrochlore supergroup, with the chemical formula . betafite typic"}
{"subject": "math:Tom_Phillips_(racing_driver)", "predicate": "proves", "object": "tom phillips (born february 5, 1958) is an american former racing driver from portland, oregon. he f"}
{"subject": "math:Jordan_192", "predicate": "proves", "object": "the jordan 192 was a formula one car designed by gary anderson and used by the jordan team in the 19"}
{"subject": "math:Chengdu_Goldenport_Circuit", "predicate": "proves", "object": "chengdu goldenport circuit () also known as chengdu international circuit in english, was a permanen"}
{"subject": "math:Invertible_knot", "predicate": "proves", "object": "in mathematics, especially in the area of topology known as knot theory, an invertible knot is a kno"}
{"subject": "math:Ravindra_Khattree", "predicate": "proves", "object": "ravindra khattree (born 1959) is an indian-american statistician and a distinguished professor of st"}
{"subject": "math:Caesium_nitrate", "predicate": "proves", "object": "caesium nitrate or cesium nitrate is a salt with the chemical formula cs n o3. an alkali metal nitra"}
{"subject": "math:Topological_semigroup", "predicate": "proves", "object": "in mathematics, a topological semigroup is a semigroup that is simultaneously a topological space, a"}
{"subject": "math:Paratopological_group", "predicate": "proves", "object": "in mathematics,  a paratopological group is a topological semigroup that is algebraically a group. i"}
{"subject": "math:Market-preserving_federalism", "predicate": "proves", "object": "market-preserving federalism is a special type of federalism that limits the degree to which a count"}
{"subject": "math:2008_1000_km_of_Spa", "predicate": "proves", "object": "the 2008 1000\u00a0km of spa was the third round of the 2008 le mans series season.  it took place at the"}
{"subject": "math:Freshman's_dream", "predicate": "proves", "object": "the freshman's dream is a name sometimes given to the erroneous equation , where  is a real number ("}
{"subject": "math:Double_(manifold)", "predicate": "proves", "object": "in the subject of manifold theory in mathematics, if  is a manifold with boundary, its double is obt"}
{"subject": "math:Manganoan_calcite", "predicate": "proves", "object": "manganoan calcite or manganocalcite is a variety of calcite rich in manganese, which gives the miner"}
{"subject": "math:Junkers_CL.I", "predicate": "proves", "object": "the junkers cl.i was a ground-attack aircraft developed in germany during world war i. its construct"}
{"subject": "math:Meyerhofferite", "predicate": "proves", "object": "meyerhofferite is a hydrated borate mineral of calcium, with the chemical formula  ca2b6o6(oh)10\u00b72h2"}
{"subject": "math:Nobleite", "predicate": "proves", "object": "nobleite is a rare borate mineral with the chemical formula  cab6o9(oh)2\u00b73h2o. it was discovered in "}
{"subject": "math:Northupite", "predicate": "proves", "object": "northupite is an uncommon evaporite mineral, with the chemical formula na3mg(co3)2cl. it occurs as c"}
{"subject": "math:Mariology_of_the_popes", "predicate": "proves", "object": "the mariology of the popes is the theological study of the influence that the popes have had on the "}
{"subject": "math:Veatchite", "predicate": "proves", "object": "veatchite is an unusual strontium borate, with the chemical formula sr2b11o16(oh)5\u00b7h2o. there are tw"}
{"subject": "math:Saleeite", "predicate": "proves", "object": "saleeite is a secondary uranium mineral occurring in the oxidized zones of uranium deposits, or as d"}
{"subject": "math:Glutaconyl-CoA", "predicate": "proves", "object": "glutaconyl-coa is an intermediate in the metabolism of lysine. it is an organic compound containing "}
{"subject": "math:Searlesite", "predicate": "proves", "object": "searlesite is a sodium borosilicate mineral, with the chemical formula nabsi2o5(oh)2. it was discove"}
{"subject": "math:Shortite", "predicate": "proves", "object": "shortite is a sodium-calcium carbonate mineral, with the chemical formula na2ca2(co3)3. it was disco"}
{"subject": "math:Hinduja_Foundries", "predicate": "proves", "object": "hinduja foundries ltd (hfl) is a part of the $12 billion hinduja group. hinduja foundries is india\u2019s"}
{"subject": "math:Russian_Grand_Prix", "predicate": "proves", "object": "the russian grand prix () was an annual motor racing event held at sochi autodrom \u2013 a permanent circ"}
{"subject": "math:Comb_space", "predicate": "proves", "object": "in mathematics, particularly topology, a comb space is a particular subspace of  that resembles a co"}
{"subject": "math:Ferroselite", "predicate": "proves", "object": "orthorhombic ferroselite and its isometric polymorph dzharkenite are iron selenides of general formu"}
{"subject": "math:Ministry_of_Micro,_Small_and_Medium_Enterprises", "predicate": "proves", "object": "the ministry of micro, small and medium enterprises is the ministry in the government of india. it i"}
{"subject": "math:Ministry_of_Mines_(India)", "predicate": "proves", "object": "the ministry of mines is the ministry in the government of india. the ministry functions as the prim"}
{"subject": "math:Ministry_of_Science_and_Technology_(India)", "predicate": "proves", "object": "the ministry of science and technology is the indian government ministry charged with formulation an"}
{"subject": "math:Ministry_of_Ports,_Shipping_and_Waterways", "predicate": "proves", "object": "the ministry of ports, shipping and waterways is the indian ministry responsible for formulation and"}
{"subject": "math:Ministry_of_Tourism_(India)", "predicate": "proves", "object": "the ministry of tourism, a branch of the government of india, is the apex body for the formulation a"}
{"subject": "math:Ministry_of_Housing_and_Urban_Affairs", "predicate": "proves", "object": "the ministry of housing and urban affairs (mohua) is a ministry of the government of india with exec"}
{"subject": "math:Ministry_of_Water_Resources,_River_Development_and", "predicate": "proves", "object": "the ministry of water resources, river development and ganga rejuvenation was the apex body for form"}
{"subject": "math:Ministry_of_Women_and_Child_Development", "predicate": "proves", "object": "the ministry of women and child development, a branch of the government of india, is an apex body fo"}
{"subject": "math:R_v_W_(D)", "predicate": "proves", "object": "r v w (d), [1991] 1 s.c.r. 742 is a leading decision of the supreme court of canada on assessing gui"}
{"subject": "math:Subdirect_product", "predicate": "proves", "object": "in mathematics, especially in the areas of abstract algebra known as universal algebra, group theory"}
{"subject": "math:Open_mapping_theorem_(complex_analysis)", "predicate": "proves", "object": "in complex analysis, the open mapping theorem states that if u is a domain of the complex plane c an"}
{"subject": "math:Open_mapping_theorem_(functional_analysis)", "predicate": "proves", "object": "in functional analysis, the open mapping theorem, also known as the banach\u2013schauder theorem or the b"}
{"subject": "math:Dymola", "predicate": "proves", "object": "dymola is a commercial modeling and simulation environment based on the open modelica modeling langu"}
{"subject": "math:Simpson_Performance_Products", "predicate": "proves", "object": "simpson performance products is an american motorsports parts supplier that manufactures safety prod"}
{"subject": "math:Subdirectly_irreducible_algebra", "predicate": "proves", "object": "in the branch of mathematics known as universal algebra (and in its applications), a subdirectly irr"}
{"subject": "math:Living_Proof_(2008_film)", "predicate": "proves", "object": "living proof is a 2008 lifetime television film, directed by dan ireland. the film stars harry conni"}
{"subject": "math:Alejandro_N\u00fa\u00f1ez", "predicate": "proves", "object": "alejandro n\u00fa\u00f1ez (born 25 february 1984 in madrid, spain) is a spanish racing driver who is currently"}
{"subject": "math:Jaap_van_Lagen", "predicate": "proves", "object": "jaap van lagen (born 22 december 1976 in ede) is a dutch racing driver, who is a former competitor i"}
{"subject": "math:Methyldiethanolamine", "predicate": "proves", "object": "methyldiethanolamine, also known as n-methyl diethanolamine and more commonly as mdea, is the organi"}
{"subject": "math:Titchmarsh_theorem", "predicate": "proves", "object": "in mathematics, particularly in the area of fourier analysis, the titchmarsh theorem may refer to:\n\n"}
{"subject": "math:2008_Spanish_Formula_Three_Championship", "predicate": "proves", "object": "the 2008 spanish formula three championship was the eighth spanish formula three championship season"}
{"subject": "math:Oom_Yung_Doe", "predicate": "proves", "object": "oom yung doe (\uc74c\uc591\ub3c4; \u9670\u967d\u9053) is a line of korean martial arts schools founded by john c. kim (grandmaster"}
{"subject": "math:Ch\u00e9zy_formula", "predicate": "proves", "object": "the ch\u00e9zy formula is an semi-empirical resistance equation which estimates mean flow velocity in ope"}
{"subject": "math:Agrostis_curtisii", "predicate": "proves", "object": "agrostis curtisii, the bristle bent, is a species of grass in the family poaceae native to eurasia.\n"}
{"subject": "math:OPCON_CCIS", "predicate": "proves", "object": "opcon, or more fully the operational control command control and information system (opcon ccis) was"}
{"subject": "math:Luiz_Razia", "predicate": "proves", "object": "luiz tadeu razia filho (born 4 april 1989) is a brazilian businessman and former racing driver.\n\ncar"}
{"subject": "math:Sharp_map", "predicate": "proves", "object": "in differential geometry, the sharp map is the mapping that converts 1-forms into corresponding vect"}
{"subject": "math:Kazeem_Manzur", "predicate": "proves", "object": "kazeem manzur (born 8 july 1991, in milton keynes, england) is a professional british racecar driver"}
{"subject": "math:Council_of_Auxerre", "predicate": "proves", "object": "the councils of auxerre were local church councils held in the ancient diocese of auxerre.\n\nfirst co"}
{"subject": "math:Stokes_equation", "predicate": "proves", "object": "stokes equation may refer to:\n\n the airy equation\n the equations of stokes flow, a linearised form o"}
{"subject": "math:Eberlein\u2013\u0160mulian_theorem", "predicate": "proves", "object": "in the mathematical field of functional analysis, the eberlein\u2013\u0161mulian theorem (named after william "}
{"subject": "math:Godement_resolution", "predicate": "proves", "object": "the godement resolution of a sheaf is a construction in homological algebra that allows one to view "}
{"subject": "math:Lords_of_the_Land", "predicate": "proves", "object": "lords of the land: the war for israel's settlements in the occupied territories, 1967-2007\nby idith "}
{"subject": "math:Cysteine_sulfinic_acid", "predicate": "proves", "object": "cysteine sulfinic acid is the organic compound with the nominal formula ho2sch2ch(nh2)co2h .  it is "}
{"subject": "math:Cysteic_acid", "predicate": "proves", "object": "cysteic acid also known as 3-sulfo--alanine is the organic compound with the formula ho3sch2ch(nh2)c"}
{"subject": "math:Coors_Cutter", "predicate": "proves", "object": "coors cutter was a non-alcoholic beverage from coors brewing company. it was introduced in 1991 with"}
{"subject": "math:Tarot_card_reading", "predicate": "proves", "object": "tarot card reading is a form of cartomancy whereby practitioners use tarot cards to purportedly gain"}
{"subject": "math:Valuation_(logic)", "predicate": "proves", "object": "in logic and model theory, a valuation can be:\nin propositional logic, an assignment of truth values"}
{"subject": "math:Re_Ellenborough_Park", "predicate": "proves", "object": "was an english land law case which reformulated the tests for an easement (the scope of the law of e"}
{"subject": "math:Beno\u00eet_Tr\u00e9luyer", "predicate": "proves", "object": "beno\u00eet tr\u00e9luyer (; born 7 december 1976) is a french professional racing driver.\n\nearly career\nbegin"}
{"subject": "math:Input_hypothesis", "predicate": "proves", "object": "the input hypothesis, also known as the monitor model, is a group of five hypotheses of second-langu"}
{"subject": "math:Ferrari_158", "predicate": "proves", "object": "the ferrari 158 was a formula one racing car made by ferrari in 1964 as a successor to the v6-powere"}
{"subject": "math:3-Aminobenzoic_acid", "predicate": "proves", "object": "3-aminobenzoic acid (also known as meta-aminobenzoic acid or maba) is an organic compound with the m"}
{"subject": "math:William_Edge", "predicate": "proves", "object": "william edge may refer to:\n\n william edge (mathematician) (1904\u20131997), british mathematician most kn"}
{"subject": "math:Five_Towns_Stadium", "predicate": "proves", "object": "the five towns stadium also known as axiom is a future rugby league stadium in glasshoughton, castle"}
{"subject": "math:Chromium(III)_sulfide", "predicate": "proves", "object": "chromium(iii) sulfide is the inorganic compound with the formula cr2s3. it is a brown-black solid. c"}
{"subject": "math:Resource_Description_and_Access", "predicate": "proves", "object": "resource description and access (rda) is a standard for descriptive cataloging initially released in"}
{"subject": "math:J\u00fcrgen_Neukirch", "predicate": "proves", "object": "j\u00fcrgen neukirch (24 july 1937 \u2013 5 february 1997) was a german mathematician known for his work on al"}
{"subject": "math:Half-proof", "predicate": "proves", "object": "half-proof (semiplena probatio) was a concept of medieval roman law, describing a level of evidence "}
{"subject": "math:Neuberg_formula", "predicate": "proves", "object": "in duplicate bridge pairs tournaments, the neuberg formula is a method of adjusting match point scor"}
{"subject": "math:Maldivian_passport", "predicate": "proves", "object": "maldivian passport is a proof of citizenship, issued by maldives immigration, to all the nationals o"}
{"subject": "math:Differential_game", "predicate": "proves", "object": "in game theory, differential games are a group of problems related to the modeling and analysis of c"}
{"subject": "math:Red_Devil_Energy_Drink", "predicate": "proves", "object": "red devil energy drink is a premium energy drink brand that was formulated in netherlands in 1995.\n\n"}
{"subject": "math:Benzenediazonium_tetrafluoroborate", "predicate": "proves", "object": "benzenediazonium tetrafluoroborate is an organic compound with the formula [c6h5n2]bf4. it is a salt"}
{"subject": "math:SYZ_conjecture", "predicate": "proves", "object": "the syz conjecture is an attempt to understand the mirror symmetry conjecture, an issue in theoretic"}
{"subject": "math:Mathematical_principles_of_reinforcement", "predicate": "proves", "object": "the mathematical principles of reinforcement (mpr) constitute of a set of mathematical equations set"}
{"subject": "math:F1_2009_(video_game)", "predicate": "proves", "object": "f1 2009 is a video game based on the 2009 season of the formula one motor racing series. it was rele"}
{"subject": "math:Looman\u2013Menchoff_theorem", "predicate": "proves", "object": "in the mathematical field of complex analysis, the looman\u2013menchoff theorem states that a continuous "}
{"subject": "math:Diboron_tetrafluoride", "predicate": "proves", "object": "diboron tetrafluoride is the inorganic compound with the formula (bf2)2.  a colorless gas, the compo"}
{"subject": "math:Scott_Starr", "predicate": "proves", "object": "scott starr (born october 28, 1981, in milwaukee, wisconsin) is the lead singer and founding member "}
{"subject": "math:Sion's_minimax_theorem", "predicate": "proves", "object": "in mathematics, and in particular game theory, sion's minimax theorem is a generalization of john vo"}
{"subject": "math:IPAT", "predicate": "proves", "object": "ipat may refer to:\n i = pat equation in environmental science\n interdisciplinary project group for a"}
{"subject": "math:Charles_Hall_(racing_driver)", "predicate": "proves", "object": "charles hall (born 13 november 1979) is a british racing driver from sheffield, england.\n\nafter begi"}
{"subject": "math:Edoardo_Mortara", "predicate": "proves", "object": "edoardo \"edo\" mortara (born 12 january 1987) is a swiss-italian-french professional racing driver cu"}
{"subject": "math:Equal_incircles_theorem", "predicate": "proves", "object": "in geometry, the equal incircles theorem derives from a japanese sangaku, and pertains to the follow"}
{"subject": "math:Orthoferrite", "predicate": "proves", "object": "an orthoferrite is any of a class of chemical compounds with the formula rfeo, where r is one or mor"}
{"subject": "math:Pseudo-order", "predicate": "proves", "object": "in constructive mathematics, pseudo-order is a name given to certain binary relations appropriate fo"}
{"subject": "math:Coates_graph", "predicate": "proves", "object": "in mathematics, the coates graph or coates flow graph, named after c.l. coates, is a graph associate"}
{"subject": "math:Chloroformic_acid", "predicate": "proves", "object": "chloroformic acid is a chemical compound with the formula . it is the single acyl-halide derivative "}
{"subject": "math:Lloyd_Rowland", "predicate": "proves", "object": "lloyd rowland retired as the deputy director of the national geospatial-intelligence agency (nga). a"}
{"subject": "math:Chloroformate", "predicate": "proves", "object": "chloroformates are a class of organic compounds with the formula roc(o)cl.  they are formally esters"}
{"subject": "math:Propadiene", "predicate": "proves", "object": "propadiene () or allene () is the organic compound with the formula .  it is the simplest allene, i."}
{"subject": "math:2,3-Dimethylbutane", "predicate": "proves", "object": "2,3-dimethylbutane is an isomer of hexane.  it has the chemical formula (ch3)2chch(ch3)2. it is a co"}
{"subject": "math:Parthasarathy's_theorem", "predicate": "proves", "object": "in mathematics \u2013 and in particular the study of games on the unit square \u2013 parthasarathy's theorem i"}
{"subject": "math:Bromous_acid", "predicate": "proves", "object": "bromous acid is the inorganic compound with the formula of hbro2.  it is an unstable compound, altho"}
{"subject": "math:Modal_matrix", "predicate": "proves", "object": "in linear algebra, the modal matrix is used in the diagonalization process involving eigenvalues and"}
{"subject": "math:2005_Australian_Formula_Ford_Championship", "predicate": "proves", "object": "the 2005 australian formula ford championship was a cams sanctioned national motor racing title for "}
{"subject": "math:Lassi_P\u00e4iv\u00e4rinta", "predicate": "proves", "object": "lassi p\u00e4iv\u00e4rinta is a finnish mathematician, one-time professor of applied mathematics at the depart"}
{"subject": "math:Pesticide_formulation", "predicate": "proves", "object": "the biological activity of a pesticide, be it chemical or biological in nature, is determined by its"}
{"subject": "math:Marcello_Puglisi", "predicate": "proves", "object": "marcello puglisi (born may 17, 1986 in trescore balneario) is an italian racing driver.\n\ncareer\n\nfor"}
{"subject": "math:Arithmetic_dynamics", "predicate": "proves", "object": "arithmetic dynamics is a field that amalgamates two areas of mathematics, dynamical systems and numb"}
{"subject": "math:\u0391-Ketoisovaleric_acid", "predicate": "proves", "object": "\u03b1-ketoisovaleric acid is an organic compound with the formula (ch3)2chc(o)co2h.  it is a ketoacid.  "}
{"subject": "math:Optional_stopping_theorem", "predicate": "proves", "object": "in probability theory, the optional stopping theorem (or sometimes doob's optional sampling theorem,"}
{"subject": "math:Point-free", "predicate": "proves", "object": "point-free may refer to:\n pointless topology, an approach to topology that avoids mentioning points\n"}
{"subject": "math:Clique-sum", "predicate": "proves", "object": "in graph theory, a branch of mathematics, a clique sum (or clique-sum) is a way of combining two gra"}
{"subject": "math:1958_Australian_Drivers'_Championship", "predicate": "proves", "object": "the 1958 australian drivers' championship was a cams sanctioned australian motor racing competition "}
{"subject": "math:Polydioctylfluorene", "predicate": "proves", "object": "polydioctylfluorene (pfo) is an organic compound, a polymer of 9,9-dioctylfluorene, with formula (c1"}
{"subject": "math:SSZ-13", "predicate": "proves", "object": "ssz-13 (framework type code cha) is a high-silica aluminosilicate zeolite possessing 0.38 \u00d7 0.38\u00a0nm "}
{"subject": "math:Keps_nut", "predicate": "proves", "object": "a keps nut, (also called a k-lock nut or washer nut), is a nut with an attached, free-spinning washe"}
{"subject": "math:Moyse_Charas", "predicate": "proves", "object": "moyse charas, or moses charas (2 april 1619 \u2013 17 january 1698), was an apothecary in france during t"}
{"subject": "math:Tim_Blanchard", "predicate": "proves", "object": "tim blanchard (born 30 june 1987) is an australian racing driver.\n\nblanchard has raced in several ot"}
{"subject": "math:Dry_sack", "predicate": "proves", "object": "dry sack can refer to:\n\n a dry bag- a waterproof bag used in outdoor activities like kayaking and ra"}
{"subject": "math:Safe_in_Sound_(Jim_Boggia_album)", "predicate": "proves", "object": "safe in sound is a 2005 studio album by pop singer-songwriter jim boggia. \na track from the album, l"}
{"subject": "math:Onus", "predicate": "proves", "object": "onus, from latin, indicates accountability/responsibility \n\nonus may also refer to: \n\n blame\n burden"}
{"subject": "math:LogitBoost", "predicate": "proves", "object": "in machine learning and computational learning theory, logitboost is a boosting algorithm formulated"}
{"subject": "math:Topological_combinatorics", "predicate": "proves", "object": "the mathematical discipline of topological combinatorics is the application of topological and algeb"}
{"subject": "math:Tucker's_lemma", "predicate": "proves", "object": "in mathematics, tucker's lemma is a combinatorial analog of the borsuk\u2013ulam theorem, named after alb"}
{"subject": "math:2005_Faroe_Islands_Premier_League", "predicate": "proves", "object": "the faroe islands premier league 2005 season was the 63rd season of league football in the faroe isl"}
{"subject": "math:Monohydrogen_phosphate", "predicate": "proves", "object": "hydrogen phosphate or monohydrogen phosphate (systematic name) is the inorganic ion with the formula"}
{"subject": "math:Coulomb_wave_function", "predicate": "proves", "object": "in mathematics, a coulomb wave function is a solution of the coulomb wave equation, named after char"}
{"subject": "math:Scherrer_equation", "predicate": "proves", "object": "the scherrer equation, in x-ray diffraction and crystallography, is a formula that relates the size "}
{"subject": "math:SPASS", "predicate": "proves", "object": "spass is an automated theorem prover for first-order logic with equality developed at the max planck"}
{"subject": "math:RTPA", "predicate": "proves", "object": "rtpa or rtpa may refer to:\nradiotelevisi\u00f3n del principado de asturias, a public broadcasting company"}
{"subject": "math:4,4'-Bipyridine", "predicate": "proves", "object": "4,4\u2032-bipyridine (abbreviated to 4,4\u2032-bipy or 4,4\u2032-bpy) is an organic compound with the formula .  it"}
{"subject": "math:Silicon_monoxide", "predicate": "proves", "object": "silicon monoxide is the chemical compound with the formula sio where silicon is present in the oxida"}
{"subject": "math:Black\u2013Scholes_equation", "predicate": "proves", "object": "in mathematical finance, the black\u2013scholes equation is a partial differential equation (pde) governi"}
{"subject": "math:Victory_Engineering", "predicate": "proves", "object": "victory engineering was a racing team based on rome, italy, involved in many areas of motorsport. th"}
{"subject": "math:Jacme_Rovira", "predicate": "proves", "object": "jacme rovira (, ; modern catalan spelling: jaume rovira) was a catalan poet who wrote in occitan and"}
{"subject": "math:Introduction_to_systolic_geometry", "predicate": "proves", "object": "systolic geometry is a branch of differential geometry, a field within mathematics, studying problem"}
{"subject": "math:Belhar", "predicate": "proves", "object": "belhar is a small town in the western cape, south africa and forms part of the tygerberg area in the"}
{"subject": "math:Sun_Pharma", "predicate": "proves", "object": "sun pharmaceutical industries limited (d/b/a sun pharma) is an indian multinational pharmaceutical c"}
{"subject": "math:HBT_(explosive)", "predicate": "proves", "object": "{{chembox\n| verifiedfields = changed\n| watchedfields = changed\n| verifiedrevid = 412683567\n| imagefi"}
{"subject": "math:Sten_Pentus", "predicate": "proves", "object": "sten pentus (born 3 november 1981 in tallinn) is an estonian racing driver.\n\nhe is a former estonian"}
{"subject": "math:Marcel_Albers", "predicate": "proves", "object": "marcel adrianus gerardus albers (april 29, 1967 \u2013 april 20, 1992) was a dutch motor racing driver.\n\n"}
{"subject": "math:1989_Australian_Drivers'_Championship", "predicate": "proves", "object": "the 1989 australian drivers' championship was an australian motor racing competition open to racing "}
{"subject": "math:Pat_Fry", "predicate": "proves", "object": "patrick fry (born 17 march 1964) is a british motorsports engineer. primarily working in formula one"}
{"subject": "math:Mercury(II)_bromide", "predicate": "proves", "object": "mercury(ii) bromide or mercuric bromide is an inorganic compound with the formula hgbr2. this white "}
{"subject": "math:Mercury(I)_bromide", "predicate": "proves", "object": "mercury(i) bromide or mercurous bromide is the chemical compound composed of mercury and bromine wit"}
{"subject": "math:PROPT", "predicate": "proves", "object": "the propt matlab optimal control software is a new generation platform for solving applied optimal c"}
{"subject": "math:Rising_sun_lemma", "predicate": "proves", "object": "in mathematical analysis, the rising sun lemma is a lemma due to frigyes riesz, used in the proof of"}
{"subject": "math:Monolaurin", "predicate": "proves", "object": "monolaurin (abbreviated gml; also called glycerol monolaurate, glyceryl laurate, and 1-lauroyl-glyce"}
{"subject": "math:Discrete_differential_geometry", "predicate": "proves", "object": "discrete differential geometry is the study of discrete counterparts of notions in differential geom"}
{"subject": "math:Pacman_conjecture", "predicate": "proves", "object": "the pacman conjecture holds that durable-goods monopolists have complete market power and so can exe"}
{"subject": "math:Potassium_dicyanoargentate", "predicate": "proves", "object": "potassium dicyanoargentate is an inorganic compound with the formula kag(cn)2. a white solid, it is "}
{"subject": "math:North_American_Touring_Car_Championship", "predicate": "proves", "object": "the north american touring car championship was a touring car racing series using the supertouring f"}
{"subject": "math:Gibbs_surround", "predicate": "proves", "object": "a gibbs surround or gibbs surround is a type of architectural frame surrounding a door, window or ni"}
{"subject": "math:Academic_grading_in_Pakistan", "predicate": "proves", "object": "academic grading in pakistan is based on a percentage system.\n\nlower secondary education \nlower seco"}
{"subject": "math:AF+BG_theorem", "predicate": "proves", "object": "in algebraic geometry the af+bg theorem (also known as max noether's fundamental theorem) is a resul"}
{"subject": "math:Triisopropylphosphine", "predicate": "proves", "object": "triisopropylphosphine is the tertiary phosphine with the formula p(ch(ch3)2)3.  commonly used as a l"}
{"subject": "math:1974_Australian_Drivers'_Championship", "predicate": "proves", "object": "the 1974 australian drivers' championship was a cams sanctioned australian motor racing title for dr"}
{"subject": "math:Myeonje_baegab", "predicate": "proves", "object": "myeonje baegap (\uba74\uc81c\ubc30\uac11, \u7dbf\u88fd\u80cc\u7532) was a soft bulletproof vest invented during the joseon in 1867.\n\nit was "}
{"subject": "math:Approximately_finite-dimensional", "predicate": "proves", "object": "in operator algebras, an algebra is said to be approximately finite-dimensional if it contains an in"}
{"subject": "math:Formula_TT", "predicate": "proves", "object": "the formula tt was a racing class for motorcycles from 1977 to 1990 as the official world cup under "}
{"subject": "math:Universal_algebraic_geometry", "predicate": "proves", "object": "in algebraic geometry, universal algebraic geometry generalizes the geometry of rings to geometries "}
{"subject": "math:Douady_rabbit", "predicate": "proves", "object": "the douady rabbit is any of various particular filled julia sets whose parameter is near the center "}
{"subject": "math:Topological_data_analysis", "predicate": "proves", "object": "in applied mathematics, topological data analysis (tda) is an approach to the analysis of datasets u"}
{"subject": "math:Besicovitch_covering_theorem", "predicate": "proves", "object": "in mathematical analysis, a besicovitch cover, named after abram samoilovitch besicovitch, is an ope"}
{"subject": "math:Thallium_barium_calcium_copper_oxide", "predicate": "proves", "object": "thallium barium calcium copper oxide, or tbcco (pronounced \"tibco\"), is a family of high-temperature"}
{"subject": "math:Braas_Monier_Building_Group", "predicate": "proves", "object": "on 3 april 2017, standard industries acquired braas monier building group. as of june 2017 and in co"}
{"subject": "math:Perceptrons_(book)", "predicate": "proves", "object": "perceptrons: an introduction to computational geometry is a book written by marvin minsky and seymou"}
{"subject": "math:Ferrari_F1/87", "predicate": "proves", "object": "the ferrari f1/87 is a formula one racing car used by the ferrari team during the 1987 formula one s"}
{"subject": "math:Nana_Mizuki_Live_Formula_at_Saitama_Super_Arena", "predicate": "proves", "object": "nana mizuki live formula at saitama super arena is the sixth live dvd release from j-pop star and vo"}
{"subject": "math:Benz_plane", "predicate": "proves", "object": "in mathematics, a benz plane is a type of 2-dimensional geometrical structure, named after the germa"}
{"subject": "math:Pasquale_Di_Sabatino", "predicate": "proves", "object": "pasquale di sabatino (born 20 january 1988, in atri) is a professional racing driver from italy. he "}
{"subject": "math:Whitney_covering_lemma", "predicate": "proves", "object": "in mathematical analysis, the whitney covering lemma, or whitney decomposition, asserts the existenc"}
{"subject": "math:Secant_variety", "predicate": "proves", "object": "in algebraic geometry, the secant variety , or the variety of chords, of a projective variety  is th"}
{"subject": "math:Kirsch_(disambiguation)", "predicate": "proves", "object": "kirsch is a fruit brandy.\n\nkirsch may also refer to:\n kirsch equations\n kirsch (surname), a surname "}
{"subject": "math:Faustmann's_formula", "predicate": "proves", "object": "faustmann's formula, or the faustmann model, gives the present value of the income stream for forest"}
{"subject": "math:Gavin_Pyper", "predicate": "proves", "object": "gavin pyper (born 12 august 1979) is a british motor racing driver.\n\nracing career\n\nhe first made a "}
{"subject": "math:Axiom_schema_of_predicative_separation", "predicate": "proves", "object": "in axiomatic set theory, the axiom schema of predicative separation, or of restricted, or \u03b40 separat"}
{"subject": "math:Gallery_of_curves", "predicate": "proves", "object": "this is a gallery of curves used in mathematics, by wikipedia page. see also list of curves.\n\nalgebr"}
{"subject": "math:Empirical_statistical_laws", "predicate": "proves", "object": "an empirical statistical law or (in popular terminology) a law of statistics represents a type of be"}
{"subject": "math:Anisiho_Vlemma", "predicate": "proves", "object": "anisiho vlemma is an album by the greek singer mando, released in greece in 1994 by minos emi. it co"}
{"subject": "math:Cobalt(II)_iodide", "predicate": "proves", "object": "cobalt(ii) iodide or cobaltous iodide are the inorganic compounds with the formula coi2 and the hexa"}
{"subject": "math:Woo_circles", "predicate": "proves", "object": "in geometry, the woo circles, introduced by peter y. woo,  are a set of infinitely many archimedean "}
{"subject": "math:Rhenium(IV)_oxide", "predicate": "proves", "object": "rhenium(iv) oxide or rhenium dioxide is the inorganic compound with the formula reo2. this gray to b"}
{"subject": "math:Chloroacetone", "predicate": "proves", "object": "chloroacetone is a chemical compound with the formula . at stp it is a colourless liquid with a pung"}
{"subject": "math:Schema_(genetic_algorithms)", "predicate": "proves", "object": "a schema (: schemata) is a template in computer science used in the field of genetic algorithms that"}
{"subject": "math:Order_of_integration_(calculus)", "predicate": "proves", "object": "in calculus, interchange of the order of integration is a methodology that transforms iterated integ"}
{"subject": "math:Proofpoint,_Inc.", "predicate": "proves", "object": "proofpoint, inc. is an american enterprise cybersecurity company based in sunnyvale, california that"}
{"subject": "math:Arthur_Byron_Coble", "predicate": "proves", "object": "arthur byron coble (november 3, 1878 \u2013 december 8, 1966) was an american mathematician. he did resea"}
{"subject": "math:Masada:_Dalet", "predicate": "proves", "object": "masada: dalet, also known as \u05d3 or masada 4, is a 1995 ep by american composer and saxophonist john z"}
{"subject": "math:Bis(cyclooctadiene)nickel(0)", "predicate": "proves", "object": "bis(cyclooctadiene)nickel(0) is the organonickel compound with the formula ni(c8h12)2, also written "}
{"subject": "math:Jonathan_Oppenheim", "predicate": "proves", "object": "jonathan oppenheim is a professor of physics at university college london. he is an expert in quantu"}
{"subject": "math:Betagel", "predicate": "proves", "object": "betagel (\u03b2\u30b2\u30eb in japanese) is a material invented in japan that utilizes gel and silicone to absorb v"}
{"subject": "math:Living_Proof", "predicate": "proves", "object": "living proof may refer to:\n\nfilm and television\n living proof: the hank williams jr. story, a 1983 a"}
{"subject": "math:Esperanto_profanity", "predicate": "proves", "object": "like natural languages, the constructed language esperanto contains profane words and indecent vocab"}
{"subject": "math:Thaua", "predicate": "proves", "object": "the thaua people, also spelt thawa and dhawa, and also referred to as yuin (djuin), are an aborigina"}
{"subject": "math:Archimedean_circle", "predicate": "proves", "object": "in geometry, an archimedean circle is any circle constructed from an arbelos that has the same radiu"}
{"subject": "math:1998_NCAA_Division_I-A_football_rankings", "predicate": "proves", "object": "two human polls and one formulaic ranking make up the 1998 ncaa division i-a football rankings. unli"}
{"subject": "math:Niobium_monoxide", "predicate": "proves", "object": "niobium monoxide is the inorganic compound with the formula nbo. it is a grey solid with metallic co"}
{"subject": "math:Supercoop", "predicate": "proves", "object": "supercoop is the name of a supermarket chain in the netherlands. the first branches were opened in 2"}
{"subject": "math:Niobium_oxide", "predicate": "proves", "object": "niobium oxide, sometimes called columbium oxide, may refer to:\n\n niobium monoxide (niobium(ii) oxide"}
{"subject": "math:Shoelace_formula", "predicate": "proves", "object": "the shoelace formula, also known as gauss's area formula and the surveyor's formula, is a mathematic"}
{"subject": "math:Perrhenate", "predicate": "proves", "object": "the perrhenate ion is the anion with the formula , or a compound containing this ion. the perrhenate"}
{"subject": "math:James's_theorem", "predicate": "proves", "object": "in mathematics, particularly functional analysis, james' theorem, named for robert c. james, states "}
{"subject": "math:Pure_type_system", "predicate": "proves", "object": "\n\nin the branches of mathematical logic known as proof theory and type theory, a pure type system (p"}
{"subject": "math:Run_and_Hide", "predicate": "proves", "object": "run and hide may refer to:\n\n\"run & hide\" (the automatic song), a 2010 song by the automatic\n\"run & h"}
{"subject": "math:Xanthoxenite", "predicate": "proves", "object": "xanthoxenite is a rare calcium iron(iii) phosphate mineral with formula: ca4fe3+2(po4)4(oh)2\u00b73h2o. i"}
{"subject": "math:Ergodic_Ramsey_theory", "predicate": "proves", "object": "ergodic ramsey theory is a branch of mathematics where problems motivated by additive combinatorics "}
{"subject": "math:Xocomecatlite", "predicate": "proves", "object": "xocomecatlite is a rare tellurate mineral with formula: cu3(teo4)(oh)4. it is an orthorhombic minera"}
{"subject": "math:Ehlers_group", "predicate": "proves", "object": "in mathematical physics, the ehlers group, named after j\u00fcrgen ehlers, is a finite-dimensional transf"}
{"subject": "math:Predictor\u2013corrector_method", "predicate": "proves", "object": "in numerical analysis, predictor\u2013corrector methods belong to a class of algorithms designed to integ"}
{"subject": "math:Angiras_(disambiguation)", "predicate": "proves", "object": "angiras is a vedic sage who formulated the fourth veda.\n\nangiras may also refer to:\n angiras ghora, "}
{"subject": "math:Politburo_of_ZANU\u2013PF", "predicate": "proves", "object": "the politburo, a 49-member body, formulates and decides policy for the zimbabwe african national uni"}
{"subject": "math:Bandini_Formula_Three", "predicate": "proves", "object": "the bandini formula three is a racing car model produced from 1954 until 1958 by bandini automobili "}
{"subject": "math:3-Hydroxypentanoic_acid", "predicate": "proves", "object": "3-hydroxypentanoic acid is the organic compound with the formula .  it is one of the hydroxypentanoi"}
{"subject": "math:Hillar_Rootare", "predicate": "proves", "object": "hillar muidar rootare (26 april 1928 \u2013 2 october 2008) was a physical chemist and materials scientis"}
{"subject": "math:Rootare\u2013Prenzlow_equation", "predicate": "proves", "object": "the rootare-prenzlow equation is named for estonian-american scientist hillar rootare and american s"}
{"subject": "math:Thiosemicarbazide", "predicate": "proves", "object": "thiosemicarbazide is the chemical compound with the formula h2nc(s)nhnh2.  a white, odorless solid, "}
{"subject": "math:Brecanavir", "predicate": "proves", "object": "brecanavir (inn; codenamed gw640385) is a protease inhibitor which has been studied for the treatmen"}
{"subject": "math:Grothendieck_space", "predicate": "proves", "object": "in mathematics, a grothendieck space, named after alexander grothendieck, is a banach space  in whic"}
{"subject": "math:1999_NCAA_Division_I-A_football_rankings", "predicate": "proves", "object": "two human polls and one formulaic ranking make up the 1999 ncaa division i-a football rankings. unli"}
{"subject": "math:Ussingite", "predicate": "proves", "object": "ussingite is a silicate mineral with formula na2alsi3o8(oh).\n\nit was named for niels viggo ussing (1"}
{"subject": "math:2000_NCAA_Division_I-A_football_rankings", "predicate": "proves", "object": "two human polls and one formulaic ranking make up the 2000 ncaa division i-a football rankings. unli"}
{"subject": "math:Linear_flow_on_the_torus", "predicate": "proves", "object": "in mathematics, especially in the area of mathematical analysis known as dynamical systems theory, a"}
{"subject": "math:Claeys_Formula", "predicate": "proves", "object": "the claeys formula is used in belgium by the practitioners of social law to evaluate the notice peri"}
{"subject": "math:Calcium_guanylate", "predicate": "proves", "object": "calcium guanylate is a compound with formula ca(c10h12o4n5po4). it is the calcium salt of guanylic a"}
{"subject": "math:Dipotassium_guanylate", "predicate": "proves", "object": "dipotassium guanylate is a compound with formula k2(c10h12o4n5po4). it is a potassium salt of guanyl"}
{"subject": "math:2001_NCAA_Division_I-A_football_rankings", "predicate": "proves", "object": "two human polls and one formulaic ranking make up the 2001 ncaa division i-a football rankings. unli"}
{"subject": "math:Sho-saiko-to", "predicate": "proves", "object": ", also known as minor bupuleurum formula and xi\u01ceoch\u00e1ih\u00fat\u0101ng (xcht) (), is a herbal supplement, belie"}
{"subject": "math:Compacton", "predicate": "proves", "object": "in the theory of integrable systems, a compacton, introduced in , is a soliton with compact support."}
{"subject": "math:BMW_GINA", "predicate": "proves", "object": "the gina light visionary model is a fabric-skinned shape-shifting sports car concept built by bmw. g"}
{"subject": "math:Coarea_formula", "predicate": "proves", "object": "in the mathematical field of geometric measure theory, the coarea formula expresses the integral of "}
{"subject": "math:Tetrahedron_packing", "predicate": "proves", "object": "in geometry, tetrahedron packing is the problem of arranging identical regular tetrahedra throughout"}
{"subject": "math:Slave_boson", "predicate": "proves", "object": "the slave boson method is a technique for dealing with models of strongly correlated systems, provid"}
{"subject": "math:Perfect_map", "predicate": "proves", "object": "in mathematics, especially topology, a perfect map is a particular kind of continuous function betwe"}
{"subject": "math:Control_display_unit", "predicate": "proves", "object": "a control display unit (cdu) is used in remote operated gasfields placed on the seabed.\nit distribut"}
{"subject": "math:Uniform_10-polytope", "predicate": "proves", "object": "in ten-dimensional geometry, a 10-polytope is a 10-dimensional polytope whose boundary consists of 9"}
{"subject": "math:Dyadics", "predicate": "proves", "object": "in mathematics, specifically multilinear algebra, a dyadic or dyadic tensor is a second order tensor"}
{"subject": "math:Approximately_finite-dimensional_C*-algebra", "predicate": "proves", "object": "in mathematics, an approximately finite-dimensional (af) c*-algebra is a c*-algebra that is the indu"}
{"subject": "math:Brownleeite", "predicate": "proves", "object": "brownleeite is a silicide mineral with chemical formula mnsi. it was discovered by researchers of th"}
{"subject": "math:Trinant_RFC", "predicate": "proves", "object": "trinant rugby football club is a rugby union team from the village of trinant in newport, wales. the"}
{"subject": "math:Book_of_Lemmas", "predicate": "proves", "object": "the book of lemmas or book of assumptions (arabic ma\u02bekh\u016bdh\u0101t mans\u016bba il\u0101 arshim\u012bdis) is a book attri"}
{"subject": "math:Rohit_Jivanlal_Parikh", "predicate": "proves", "object": "rohit jivanlal parikh (born november 20, 1936) is an indian-american mathematician, logician, and ph"}
{"subject": "math:Locally_discrete_collection", "predicate": "proves", "object": "in mathematics, particularly topology, collections of subsets are said to be locally discrete if the"}
{"subject": "math:Steven_Goldstein_(racing_driver)", "predicate": "proves", "object": "steven goldstein is a colombian racing driver.\n\nracing career\nin 2004 he won the sportsman division "}
{"subject": "math:Triphenyltin_hydroxide", "predicate": "proves", "object": "triphenyltin hydroxide is an organotin compound with formula sn(c6h5)3oh. triphenyltin hydroxide is "}
{"subject": "math:Bromoxynil", "predicate": "proves", "object": "bromoxynil is an organic compound with the formula hobr2c6h2cn.  it is classified as a nitrile herbi"}
{"subject": "math:Algebraic_signal_processing", "predicate": "proves", "object": "algebraic signal processing (asp) is an emerging area of theoretical signal processing (sp). in the "}
{"subject": "math:Fernique's_theorem", "predicate": "proves", "object": "fernique's theorem is a result about gaussian measures on banach spaces. it extends the finite-dimen"}
{"subject": "math:William_Dunham_(mathematician)", "predicate": "proves", "object": "william wade dunham (born 1947) is an american writer who was originally trained in topology but bec"}
{"subject": "math:Michael_selection_theorem", "predicate": "proves", "object": "in functional analysis, a branch of mathematics, michael selection theorem is a selection theorem na"}
{"subject": "math:Barwise_compactness_theorem", "predicate": "proves", "object": "in mathematical logic, the barwise compactness theorem, named after jon barwise, is a generalization"}
{"subject": "math:Akbulut_cork", "predicate": "proves", "object": "in topology, an akbulut cork is a structure that is frequently used to show that in 4-dimensions, th"}
{"subject": "math:Wendell_H._Furry", "predicate": "proves", "object": "wendell hinkle furry (february 18, 1907 \u2013 december 17, 1984) was a professor of physics at harvard u"}
{"subject": "math:10-orthoplex", "predicate": "proves", "object": "in geometry, a 10-orthoplex or 10-cross polytope, is a regular 10-polytope with 20 vertices, 180 edg"}
{"subject": "math:United_Union_of_Roofers,_Waterproofers_and_Allied_", "predicate": "proves", "object": "the united union of roofers, waterproofers and allied workers (uurwaw or rwaw) is a union of roofers"}
{"subject": "math:Sound_Proof_(album)", "predicate": "proves", "object": "sound proof is the eighth studio album by guitarist greg howe, released on june 24, 2008 through ton"}
{"subject": "math:Claude_Ponsard", "predicate": "proves", "object": "claude ponsard (1927\u20131990) was a french economist who worked in spatial economics and in the applica"}
{"subject": "math:Mercury(I)_fluoride", "predicate": "proves", "object": "mercury(i) fluoride or mercurous fluoride is the chemical compound composed of mercury and fluorine "}
{"subject": "math:J._T._S._Brown", "predicate": "proves", "object": "j. t. s. brown is a kentucky bourbon whiskey produced by the heaven hill distillery company. the dis"}
{"subject": "math:Thallium(I)_fluoride", "predicate": "proves", "object": "thallium(i) fluoride is the inorganic compound with the formula tlf. it is a white solid, forming or"}
{"subject": "math:Sodium_chromate", "predicate": "proves", "object": "sodium chromate is the inorganic compound with the formula na2cro4. it exists as a  yellow hygroscop"}
{"subject": "math:Iron(III)_chromate", "predicate": "proves", "object": "iron(iii) chromate is the iron(iii) salt of chromic acid with the chemical formula fe2(cro4)3.\n\ndisc"}
{"subject": "math:Tin(IV)_bromide", "predicate": "proves", "object": "tin(iv) bromide is the chemical compound snbr4. it is a colourless low melting solid.\n\nstructure\nsnb"}
{"subject": "math:G\u03b4_space", "predicate": "proves", "object": "{{displaytitle:g\u03b4 space}}\nin mathematics, particularly topology, a g\u03b4 space is a topological space i"}
{"subject": "math:Aperiodic_finite_state_automaton", "predicate": "proves", "object": "an aperiodic finite-state automaton (also called a counter-free automaton) is a finite-state automat"}
{"subject": "math:OP_Andromedae", "predicate": "proves", "object": "op andromedae is a variable star in the constellation andromeda. varying between magnitudes 6.27 and"}
{"subject": "math:2005_FIVB_Volleyball_Men's_World_Grand_Champions_C", "predicate": "proves", "object": "the 2005 fivb volleyball men's world grand champions cup was held in nagano and tokyo, japan from 22"}
{"subject": "math:Manganese(II)_fluoride", "predicate": "proves", "object": "manganese(ii) fluoride is the chemical compound composed of manganese and fluoride with the formula "}
{"subject": "math:Niobium_dioxide", "predicate": "proves", "object": "niobium dioxide, is the chemical compound with the formula nbo2. it is a bluish-black non-stoichiome"}
{"subject": "math:Manganese(II)_bromide", "predicate": "proves", "object": "manganese(ii) bromide is the chemical compound composed of manganese and bromine with the formula mn"}
{"subject": "math:Atiyah\u2013Segal_completion_theorem", "predicate": "proves", "object": "the atiyah\u2013segal completion theorem is a theorem in mathematics about equivariant k-theory in homoto"}
{"subject": "math:Noether's_second_theorem", "predicate": "proves", "object": "in mathematics and theoretical physics, noether's second theorem relates symmetries of an action fun"}
{"subject": "math:Platinum(IV)_bromide", "predicate": "proves", "object": "platinum(iv) bromide is the inorganic compound with the formula ptbr4. it is a brown solid.  it is a"}
{"subject": "math:Indium(III)_fluoride", "predicate": "proves", "object": "indium(iii) fluoride or indium trifluoride is the inorganic compound with the formula inf3. it is a "}
{"subject": "math:Bismuth(III)_iodide", "predicate": "proves", "object": "bismuth(iii) iodide is the inorganic compound with the formula bii3. this gray-black salt is the pro"}
{"subject": "math:Detlef_Gromoll", "predicate": "proves", "object": "detlef gromoll (13 may 1938 \u2013 31 may 2008) was a mathematician who worked in differential geometry.\n"}
{"subject": "math:John_Judd", "predicate": "proves", "object": "john judd (born 9 april 1942) is a formula one engineer from england. he is the boss of engine devel"}
{"subject": "math:Kalpienung,_Victoria", "predicate": "proves", "object": "kalpienung is a locality in victoria, australia, located approximately 35\u00a0km from wycheproof, victor"}
{"subject": "math:Dumosa,_Victoria", "predicate": "proves", "object": "dumosa is a locality in victoria, australia, located approximately 21\u00a0km from wycheproof, victoria.\n"}
{"subject": "math:Bunguluke,_Victoria", "predicate": "proves", "object": "bunguluke is a locality in victoria, australia, located approximately 17\u00a0km from wycheproof, victori"}
{"subject": "math:Victor_Allis", "predicate": "proves", "object": "louis victor allis (born 19 may 1965) is a dutch computer scientist working in the  artificial intel"}
{"subject": "math:Towaninny,_Victoria", "predicate": "proves", "object": "towaninny is a locality in the victoria, australia, located approximately 35\u00a0km from wycheproof, vic"}
{"subject": "math:Plutonium(III)_fluoride", "predicate": "proves", "object": "plutonium(iii) fluoride or plutonium trifluoride is the chemical compound composed of plutonium and "}
{"subject": "math:Proof_without_words", "predicate": "proves", "object": "in mathematics, a proof without words (or visual proof) is an illustration of an identity or mathema"}
{"subject": "math:Birch's_law", "predicate": "proves", "object": "birch's law, discovered by the geophysicist francis birch, establishes a linear relation between com"}
{"subject": "math:Degree_of_saturation", "predicate": "proves", "object": "degree of saturation may refer to:\ndegree of saturation (earth sciences), a ratio of liquid to the t"}
{"subject": "math:Saturation_(traffic)", "predicate": "proves", "object": "in traffic engineering, saturation describes the maximum traffic flow which can be handled by a junc"}
{"subject": "math:Vasanti_N._Bhat-Nayak", "predicate": "proves", "object": "vasanti n. bhat-nayak was a mathematician whose research concerned balanced incomplete block designs"}
{"subject": "math:Feni_Rose", "predicate": "proves", "object": "feni rosewidyadhari (born 1 november 1973) is an indonesian tv presenter and entrepreneur. she is no"}
{"subject": "math:Group_isomorphism_problem", "predicate": "proves", "object": "in abstract algebra, the group isomorphism problem is the decision problem of determining whether tw"}
{"subject": "math:Vandercook", "predicate": "proves", "object": "vandercook & sons was a manufacturer of proof presses, founded in 1909 by robert vandercook. they do"}
{"subject": "math:Tetramethylammonium_pentafluoroxenate", "predicate": "proves", "object": "tetramethylammonium pentafluoroxenate is the chemical compound with the formula n(ch3)4xef5. the  io"}
{"subject": "math:Monogenic_field", "predicate": "proves", "object": "in mathematics, a monogenic field is an algebraic number field k for which there exists an element a"}
{"subject": "math:Eagle_Talon_(anime)", "predicate": "proves", "object": "is a japanese flash animation created by former shimane prefecture resident ryo ono (frogman) and pr"}
{"subject": "math:Choice_sequence", "predicate": "proves", "object": "in intuitionistic mathematics, a choice sequence is a constructive formulation of a sequence. since "}
{"subject": "math:Aviptadil", "predicate": "proves", "object": "aviptadil is an injectable synthetic formulation of human vasoactive intestinal peptide (vip). \nvip "}
{"subject": "math:MGED", "predicate": "proves", "object": "mged may refer to:\n\n the fged society, formerly known as the mged society, a genomics research data "}
{"subject": "math:Centered_trochoid", "predicate": "proves", "object": "in geometry, a centered trochoid is the roulette formed by a circle rolling along another circle. th"}
{"subject": "math:Rio_Hair_Naturalizer_System", "predicate": "proves", "object": "the rio hair naturalizer system was a hair relaxer distributed by the world rio corporation inc. it "}
{"subject": "math:Chitranjali_Studio", "predicate": "proves", "object": "chitranjali () is a film production studio located in thiruvananthapuram, kerala, india. it was esta"}
{"subject": "math:Cadmium(I)_tetrachloroaluminate", "predicate": "proves", "object": "cadmium(i) tetrachloroaluminate is the inorganic compound with the formula , a tetrachloroaluminate "}
{"subject": "math:List_of_finite_element_software_packages", "predicate": "proves", "object": "this is a list of notable software packages that implement the finite element method for solving par"}
{"subject": "math:FEniCS_Project", "predicate": "proves", "object": "the fenics project is a collection of free and open-source software components with the common goal "}
{"subject": "math:Daniel_Mu\u00f1iz", "predicate": "proves", "object": "daniel mu\u00f1iz (born march 2, 1947) is a mexican former racing driver from mexico city. a sports car r"}
{"subject": "math:Multiplicative_number_theory", "predicate": "proves", "object": "multiplicative number theory is a subfield of analytic number theory that deals with prime numbers a"}
{"subject": "math:Frostman_lemma", "predicate": "proves", "object": "in mathematics, and more specifically, in the theory of fractal dimensions, frostman's lemma provide"}
{"subject": "math:Arlie_W._Schorger", "predicate": "proves", "object": "arlie william schorger (september 6, 1884 \u2013 may 26, 1972) was a chemical researcher and businessman "}
{"subject": "math:Arrowhead_matrix", "predicate": "proves", "object": "in the mathematical field of linear algebra, an arrowhead matrix is a square matrix containing zeros"}
{"subject": "math:James_Jakes", "predicate": "proves", "object": "james jakes (born 4 august 1987 in leeds, west yorkshire) is a british racing driver.\n\ncareer\n\nt-car"}
{"subject": "math:Gulf_of_Morrosquillo", "predicate": "proves", "object": "{\n  \"type\": \"featurecollection\",\n  \"features\": [\n    {\n      \"type\": \"feature\",\n      \"properties\": "}
{"subject": "math:Dihydrogen_cation", "predicate": "proves", "object": "the dihydrogen cation or hydrogen molecular ion is a cation (positive ion) with formula . it consist"}
{"subject": "math:Hilbert_spectral_analysis", "predicate": "proves", "object": "hilbert spectral analysis is a signal analysis method applying the hilbert transform to compute the "}
{"subject": "math:Duncan_Tappy", "predicate": "proves", "object": "duncan tappy (born 26 june 1984 in west ewell, surrey) is a professional racing driver from the unit"}
{"subject": "math:Apeirogonal_prism", "predicate": "proves", "object": "in geometry, an apeirogonal prism or infinite prism is the arithmetic limit of the family of prisms;"}
{"subject": "math:Trimix_(drug)", "predicate": "proves", "object": "trimix is a prescription combination drug containing alprostadil, papaverine, and phentolamine. it i"}
{"subject": "math:Apeirogonal_antiprism", "predicate": "proves", "object": "in geometry, an apeirogonal antiprism  or infinite antiprism is the arithmetic limit of the family o"}
{"subject": "math:William_Lawrence_Kocay", "predicate": "proves", "object": "william lawrence kocay is a canadian professor at the department of computer science at st. paul's c"}
{"subject": "math:Creosol", "predicate": "proves", "object": "creosol is a chemical compound with the molecular formula c8h10o2.  it is one of the components of c"}
{"subject": "math:Michell_solution", "predicate": "proves", "object": "the michell solution is a general solution to the elasticity equations in polar coordinates () devel"}
{"subject": "math:Toda's_theorem", "predicate": "proves", "object": "toda's theorem is a result in computational complexity theory that was proven by seinosuke toda in h"}
{"subject": "math:Swift_Cooper", "predicate": "proves", "object": "swift cooper is a british race car constructor.  the company was formed in 1986, when frank bradley "}
{"subject": "math:Holmium(III)_chloride", "predicate": "proves", "object": "holmium(iii) chloride is the inorganic compound with the formula hocl3. it is a common salt but is m"}
{"subject": "math:Signomial", "predicate": "proves", "object": "a signomial is an algebraic function of one or more independent variables.  it is perhaps most easil"}
{"subject": "math:Americium(III)_chloride", "predicate": "proves", "object": "americium(iii) chloride or americium trichloride is the chemical compound composed of americium and "}
{"subject": "math:Lichnerowicz_formula", "predicate": "proves", "object": "the lichnerowicz formula (also known as the lichnerowicz\u2013weitzenb\u00f6ck formula) is a fundamental equat"}
{"subject": "math:Hans_Lineweaver", "predicate": "proves", "object": "hans lineweaver (december 25, 1907 \u2013 june 10, 2009) was an american physical chemist, who is credite"}
{"subject": "math:List_of_countries_by_aluminium_oxide_production", "predicate": "proves", "object": "aluminium oxide is an amphoteric oxide of aluminium with the chemical formula . it is also commonly "}
{"subject": "math:Ipse_dixit", "predicate": "proves", "object": "ipse dixit (latin for \"he said it himself\") is an assertion without proof, or a dogmatic expression "}
{"subject": "math:Kristj\u00e1n_Einar", "predicate": "proves", "object": "kristj\u00e1n einar kristj\u00e1nsson (born 8 january 1989) is an icelandic racing driver. he started racing i"}
{"subject": "math:Velology", "predicate": "proves", "object": "velology is the study and collection of vehicle tax discs, particularly of those issued in the unite"}
{"subject": "math:Lutetium(III)_chloride", "predicate": "proves", "object": "lutetium(iii) chloride or lutetium trichloride is the chemical compound composed of lutetium and chl"}
{"subject": "math:Thulium(III)_chloride", "predicate": "proves", "object": "thulium(iii) chloride or thulium trichloride is as an inorganic salt composed of thulium and chlorin"}
{"subject": "math:Osmium(IV)_chloride", "predicate": "proves", "object": "osmium(iv) chloride or osmium tetrachloride is the inorganic compound composed of osmium and chlorin"}
{"subject": "math:Grand_Prix_Manager_2", "predicate": "proves", "object": "grand prix manager 2 (often shortened as gpm2) is a 1996 formula 1 management simulation for windows"}
{"subject": "math:Grand_Prix_World", "predicate": "proves", "object": "grand prix world is the official racing management simulation game of the 1998 formula one world cha"}
{"subject": "math:Sum_rule_in_quantum_mechanics", "predicate": "proves", "object": "in quantum mechanics, a sum rule is a formula for transitions between energy levels, in which the su"}
{"subject": "math:Leonard_Arthur", "predicate": "proves", "object": "leonard john henry arthur (20 april 1926 \u2013 25 december 1983) was a british doctor tried in the 1981 "}
{"subject": "math:Fluorine_perchlorate", "predicate": "proves", "object": "fluorine perchlorate, also called perchloryl hypofluorite is the rarely encountered chemical compoun"}
{"subject": "math:Genus_field", "predicate": "proves", "object": "in algebraic number theory, the genus field \u03b3(k) of an algebraic number field k is the maximal abeli"}
{"subject": "math:Codes_(band)", "predicate": "proves", "object": "codes are an irish indie electronic quartet from dublin, consisting of daragh anderson, eoin stephen"}
{"subject": "math:John_Wood_(racing_driver)", "predicate": "proves", "object": "john j. wood (born january 23, 1952 in morristown, new jersey) is an american former racing driver. "}
{"subject": "math:K-Poincar\u00e9_algebra", "predicate": "proves", "object": "in physics and mathematics, the \u03ba-poincar\u00e9 algebra, named after henri poincar\u00e9, is a deformation of "}
{"subject": "math:Peter_Kuhn", "predicate": "proves", "object": "peter kuhn (april 14, 1955, in summit, new jersey \u2013 june 25, 2009, in stafford township, new jersey "}
{"subject": "math:Doki_Doki_Penguin_Land", "predicate": "proves", "object": "doki doki penguin land is a series of puzzle platform games developed and published by sega, and whi"}
{"subject": "math:Topological_degree_theory", "predicate": "proves", "object": "in mathematics, topological degree theory is a generalization of the winding number of a curve in th"}
{"subject": "math:Ulrich_Kohlenbach", "predicate": "proves", "object": "ulrich wilhelm kohlenbach (born 27 july 1962 in frankfurt am main) is a german mathematician and pro"}
{"subject": "math:Aizerman's_conjecture", "predicate": "proves", "object": "in nonlinear control, aizerman's conjecture or aizerman problem states that a linear system in feedb"}
{"subject": "math:Campbell's_theorem_(geometry)", "predicate": "proves", "object": "campbell's theorem, named after john edward campbell, also known as campbell\u2019s embedding theorem and"}
{"subject": "math:MIKE_21", "predicate": "proves", "object": "mike 21 is a computer program that simulates flows, waves, sediments and ecology in rivers, lakes, e"}
{"subject": "math:Order-independent_transparency", "predicate": "proves", "object": "order-independent transparency (oit) is a class of techniques in rasterisational computer graphics f"}
{"subject": "math:Finite_element_method", "predicate": "proves", "object": "the finite element method (fem) is a popular method for numerically solving differential equations a"}
{"subject": "math:Triamese", "predicate": "proves", "object": "the triamese was a 1965 design for an orbital launch system from general dynamics. this vehicle was "}
{"subject": "math:George_L._Engel", "predicate": "proves", "object": "george libman engel (december 10, 1913 \u2013 november 26, 1999) was an american internist and psychiatri"}
{"subject": "math:Additive_combinatorics", "predicate": "proves", "object": "additive combinatorics is an area of combinatorics in mathematics. one major area of study in additi"}
{"subject": "math:Entropy_estimation", "predicate": "proves", "object": "in various science/engineering applications, such as independent component analysis, image analysis,"}
{"subject": "math:Brun\u2013Titchmarsh_theorem", "predicate": "proves", "object": "in analytic number theory, the brun\u2013titchmarsh theorem, named after viggo brun and edward charles ti"}
{"subject": "math:Paolo_Guerci", "predicate": "proves", "object": "paolo guerci is an italian engineer who has spent his career in auto racing.\n\ncareer\nguerci joined f"}
{"subject": "math:1913_Grand_Prix_season", "predicate": "proves", "object": "the 1913 grand prix season consisted of grand prix races in europe and the united states. once again"}
{"subject": "math:BMW_M1_Procar_Championship", "predicate": "proves", "object": "the bmw m1 procar championship, sometimes known simply as procar, was a one-make auto racing series "}
{"subject": "math:B99", "predicate": "proves", "object": "b99 may refer to:\n\ntransportation\n beechcraft model 99, a civilian aircraft produced by beechcraft\n "}
{"subject": "math:Locally_normal_space", "predicate": "proves", "object": "in mathematics, particularly topology, a topological space x is locally normal if intuitively it loo"}
{"subject": "math:Lochs's_theorem", "predicate": "proves", "object": "in number theory, lochs's theorem concerns the rate of convergence of the continued fraction expansi"}
{"subject": "math:1921_Grand_Prix_season", "predicate": "proves", "object": "the 1921 grand prix season saw motor racing in europe blossom again. the french grand prix was held "}
{"subject": "math:1922_Grand_Prix_season", "predicate": "proves", "object": "the 1922 grand prix season had several notable events during the year. the aiacr governing body brou"}
{"subject": "math:Newton\u2013Cartan_theory", "predicate": "proves", "object": "newton\u2013cartan theory (or geometrized newtonian gravitation) is a geometrical re-formulation, as well"}
{"subject": "math:LLG", "predicate": "proves", "object": "llg or variation, may refer to:\n\n the landau\u2013lifshitz\u2013gilbert equation, used in micromagnetics\n loca"}
{"subject": "math:1929_Grand_Prix_season", "predicate": "proves", "object": "the 1929 grand prix season was another interim year, where most races were run to formula libre (ope"}
{"subject": "math:1930_Grand_Prix_season", "predicate": "proves", "object": "the 1930 grand prix season continued the malaise that had taken over the sport. although there was l"}
{"subject": "math:Diaconescu's_theorem", "predicate": "proves", "object": "in mathematical logic, diaconescu's theorem, or the goodman\u2013myhill theorem, states that the full axi"}
{"subject": "math:Plancherel_theorem_for_spherical_functions", "predicate": "proves", "object": "in mathematics, the plancherel theorem for spherical functions is an important result in the represe"}
{"subject": "math:Abafungin", "predicate": "proves", "object": "abafungin (inn) is a broad-spectrum antifungal agent with a novel mechanism of action for the treatm"}
{"subject": "math:Nitpicking_(disambiguation)", "predicate": "proves", "object": "nitpicking may refer to:\n\nnitpicking is the action of giving too much attention to unimportant detai"}
{"subject": "math:Triphenylphosphine_sulfide", "predicate": "proves", "object": "triphenylphosphine sulfide (iupac name: triphenyl-\u03bb5-phosphanethione) is the organophosphorus compou"}
{"subject": "math:Zorns_Lemma", "predicate": "proves", "object": "zorns lemma is a 1970 american structural experimental film by hollis frampton. originally starting "}
{"subject": "math:Paul_Cohn", "predicate": "proves", "object": "paul moritz cohn frs (8 january 1924 \u2013 20 april 2006) was astor professor of mathematics at universi"}
{"subject": "math:Ha\u00efm_Brezis", "predicate": "proves", "object": "ha\u00efm brezis  (born 1 june 1944) is a french mathematician, who mainly works in functional analysis a"}
{"subject": "math:Richard_Statman", "predicate": "proves", "object": "richard statman (born september 6, 1946) is an american computer scientist whose principal research "}
{"subject": "math:Selenium_tetrachloride", "predicate": "proves", "object": "selenium tetrachloride is the inorganic compound composed with the formula secl4. this compound exis"}
{"subject": "math:Rectified_5-simplexes", "predicate": "proves", "object": "in five-dimensional geometry, a rectified 5-simplex is a convex uniform 5-polytope, being a rectific"}
{"subject": "math:Daniel_Ricciardo", "predicate": "proves", "object": "daniel joseph ricciardo  ( \"ricardo\", ; born 1 july 1989) is an australian and italian racing driver"}
{"subject": "math:10-demicube", "predicate": "proves", "object": "in geometry, a 10-demicube or demidekeract is a uniform 10-polytope, constructed from the 10-cube wi"}
{"subject": "math:Alternated_hypercubic_honeycomb", "predicate": "proves", "object": "in geometry, the alternated hypercube honeycomb (or demicubic honeycomb) is a dimensional infinite s"}
{"subject": "math:1965_Australian_One_and_a_Half_Litre_Championship", "predicate": "proves", "object": "the 1965 australian one and a half litre championship was a cams sanctioned national motor racing ti"}
{"subject": "math:QE3", "predicate": "proves", "object": "qe3 may refer to:\n ms queen elizabeth, third cunard passenger ship of the name\n round 3 of quantitat"}
{"subject": "math:Treaty_of_Dubysa", "predicate": "proves", "object": "the treaty of dubysa or treaty of dubissa () consisted of three legal acts formulated on 31 october "}
{"subject": "math:SG_Formula", "predicate": "proves", "object": "sg formula is a french auto racing team which participated in the junior categories of open wheel ra"}
{"subject": "math:Truncated_tetrahedral_prism", "predicate": "proves", "object": "in geometry, a truncated tetrahedral prism is a convex uniform polychoron (four-dimensional polytope"}
{"subject": "math:Ornstein\u2013Uhlenbeck_operator", "predicate": "proves", "object": "in mathematics, the ornstein\u2013uhlenbeck operator is a generalization of the laplace operator to an in"}
{"subject": "math:Icosahedral_prism", "predicate": "proves", "object": "in geometry, an icosahedral prism is a convex uniform 4-polytope (four-dimensional polytope). this 4"}
{"subject": "math:Davenport\u2013Schmidt_theorem", "predicate": "proves", "object": "in mathematics, specifically the area of diophantine approximation, the davenport\u2013schmidt theorem te"}
{"subject": "math:K-topology", "predicate": "proves", "object": "in mathematics, particularly topology, the k-topology is a topology that one can impose on the set o"}
{"subject": "math:McLaughlin_sporadic_group", "predicate": "proves", "object": "in the area of modern algebra known as group theory, the mclaughlin group mcl is a sporadic simple g"}
{"subject": "math:1-Aminopentane", "predicate": "proves", "object": "1-aminopentane is an organic compound with the formula ch3(ch2)4nh2. it is used as a solvent, as a r"}
{"subject": "math:\u00c4mari", "predicate": "proves", "object": "\u00e4mari is a small borough () in l\u00e4\u00e4ne-harju parish, harju county, northern estonia. as of 2011 census"}
{"subject": "math:Standard_model_(disambiguation)", "predicate": "proves", "object": "standard model may refer to:\n standard model of particle physics\n the mathematical formulation of th"}
{"subject": "math:Castability", "predicate": "proves", "object": "castability is the ease of forming a quality casting. a very castable part design is easily develope"}
{"subject": "math:Equation_of_State_Calculations_by_Fast_Computing_M", "predicate": "proves", "object": "\"equation of state calculations by fast computing machines\" is a scholarly article published by nich"}
{"subject": "math:2008_Formula_Renault_2.0_UK_Championship", "predicate": "proves", "object": "the 2008 formula renault 2.0 uk championship was the 20th british formula renault championship seaso"}
{"subject": "math:Bira_Circuit", "predicate": "proves", "object": "bira circuit is a motor racing track in thailand, located in 111 moo 5 banglamung, chonburi,  northe"}
{"subject": "math:Arc_of_the_Testimony", "predicate": "proves", "object": "arc of the testimony is the second and final album by the american jazz fusion band arcana. it was r"}
{"subject": "math:Richard_Swan", "predicate": "proves", "object": "richard gordon swan (; born 1933) is an american mathematician who is known for the serre\u2013swan theor"}
{"subject": "math:Vera_Kublanovskaya", "predicate": "proves", "object": "vera nikolaevna kublanovskaya (n\u00e9e totubalina; november 21, 1920 \u2013 february 21, 2012 ) was a russian"}
{"subject": "math:Nine-point_hyperbola", "predicate": "proves", "object": "in euclidean geometry with triangle , the nine-point hyperbola is an instance of the nine-point coni"}
{"subject": "math:Bernard_Cahier", "predicate": "proves", "object": "bernard cahier (20 june 1927 \u2013 10 july 2008) was a french formula one photo-journalist.\n\ncahier bega"}
{"subject": "math:Ehlers\u2013Geren\u2013Sachs_theorem", "predicate": "proves", "object": "the ehlers\u2013geren\u2013sachs theorem, published in 1968 by j\u00fcrgen ehlers, p. geren and rainer k. sachs, sh"}
{"subject": "math:Nielsen_transformation", "predicate": "proves", "object": "in mathematics, especially in the area of abstract algebra known as combinatorial group theory, niel"}
{"subject": "math:Geroch_group", "predicate": "proves", "object": "the geroch group is an infinite-dimensional symmetry group of axisymmetric, stationary vacuum spacet"}
{"subject": "math:Completeness", "predicate": "proves", "object": "complete may refer to:\n\nlogic\n completeness (logic)\n completeness of a theory, the property of a the"}
{"subject": "math:Nielsen\u2013Schreier_theorem", "predicate": "proves", "object": "in group theory, a branch of mathematics, the nielsen\u2013schreier theorem states that every subgroup of"}
{"subject": "math:Commutation_theorem_for_traces", "predicate": "proves", "object": "in mathematics, a  commutation theorem for traces explicitly identifies the commutant of a specific "}
{"subject": "math:Boole_(disambiguation)", "predicate": "proves", "object": "george boole (1815\u20131864) was a british mathematician and philosopher, and originator of boolean alge"}
{"subject": "math:Sulfene", "predicate": "proves", "object": "sulfene is an extremely reactive chemical compound with the formula h2c=so2. it is the simplest memb"}
{"subject": "math:Legendre\u2013Clebsch_condition", "predicate": "proves", "object": "\nin the calculus of variations the legendre\u2013clebsch condition is a second-order condition which a so"}
{"subject": "math:Pfaffian_constraint", "predicate": "proves", "object": "in dynamics, a pfaffian constraint is a way to describe a dynamical system in the form:\n\n \nwhere  is"}
{"subject": "math:Reasoner_(disambiguation)", "predicate": "proves", "object": "a reasoner is a piece of software able to infer logical consequences from a set of asserted facts or"}
{"subject": "math:Wright_omega_function", "predicate": "proves", "object": "in mathematics, the wright omega function or wright function, denoted \u03c9, is defined in terms of the "}
{"subject": "math:Threshold_theorem", "predicate": "proves", "object": "in quantum computing, the threshold theorem (or quantum fault-tolerance theorem) states that a quant"}
{"subject": "math:Gentner", "predicate": "proves", "object": "gentner is a surname of german origin. the first records of the gentner name can be traced back to w"}
{"subject": "math:Riess", "predicate": "proves", "object": "riess or rie\u00df is a german surname. notable people with the surname include:\n\n adam riess (contempora"}
{"subject": "math:Lovelock", "predicate": "proves", "object": "lovelock may refer to:\n\nplaces\n lovelock, california, united states\n lovelock, nevada, united states"}
{"subject": "math:Xavier_Fernique", "predicate": "proves", "object": "xavier fernique (3 may 1934  \u2013 15 march 2020) was a mathematician, noted mostly for his contribution"}
{"subject": "math:1971_World_Championship_Victory_Race", "predicate": "proves", "object": "the rothmans world championship victory race was a motor race, run to formula one rules, held on 24 "}
{"subject": "math:1947_Polish_Football_Championship", "predicate": "proves", "object": "the 1947 polish football championship was the 21st edition of the polish football championship and 1"}
{"subject": "math:Median_algebra", "predicate": "proves", "object": "in mathematics, a median algebra is a set with a ternary operation  satisfying a set of axioms which"}
{"subject": "math:Christine_Abrahams_Gallery", "predicate": "proves", "object": "christine abrahams gallery, first named axiom, was a melbourne gallery showing contemporary australi"}
{"subject": "math:Matchbox_sign", "predicate": "proves", "object": "the matchbox sign, also referred to as the ziploc bag sign or the specimen sign, is a psychiatric me"}
{"subject": "math:Radius_of_curvature", "predicate": "proves", "object": "in differential geometry, the radius of curvature, , is the reciprocal of the curvature. for a curve"}
{"subject": "math:2008_Eurocup_Formula_Renault_2.0", "predicate": "proves", "object": "the 2008 eurocup formula renault 2.0 season was the eighteenth eurocup formula renault 2.0 season. t"}
{"subject": "math:Madrigal_(poetry)", "predicate": "proves", "object": "madrigal () is the name of a form of poetry, the exact nature of which has never been decided in eng"}
{"subject": "math:Stian_Heimlund_Skj\u00e6veland", "predicate": "proves", "object": "stian heimlund skj\u00e6veland (born november 19, 1973 in stavanger) is a norwegian representational pain"}
{"subject": "math:Sauber_C23", "predicate": "proves", "object": "the sauber c23 was a formula one racing car designed by sauber for the 2004 formula one season.\n\nthe"}
{"subject": "math:Richard_Shore", "predicate": "proves", "object": "richard arnold shore (born august 18, 1946) is a professor of mathematics at cornell university who "}
{"subject": "math:Massera's_lemma", "predicate": "proves", "object": "in stability theory and nonlinear control, massera's lemma, named after jos\u00e9 luis massera, deals wit"}
{"subject": "math:Small_triambic_icosahedron", "predicate": "proves", "object": "in geometry, the small triambic icosahedron is a star polyhedron composed of 20 intersecting non-reg"}
{"subject": "math:Symmetric_inverse_semigroup", "predicate": "proves", "object": "\nin abstract algebra, the set of all partial bijections on a set x ( one-to-one partial transformati"}
{"subject": "math:Claudio_Cantelli", "predicate": "proves", "object": "claudio cantelli, jr. (born may 20, 1989 in guarapuava) is a professional racing driver from brazil."}
{"subject": "math:Nawal_Kishore_Dhawal", "predicate": "proves", "object": "nawal kishore dhawal (11 november 1911, in sasorh village, sarmera, nalanda district, bengal preside"}
{"subject": "math:C21H25ClN2O3", "predicate": "proves", "object": "{{displaytitle:c21h25cln2o3}}\nthe molecular formula c21h25cln2o3 (molar mass: 388.89 g/mol) may refe"}
{"subject": "math:Change_of_variables_(PDE)", "predicate": "proves", "object": "often a partial differential equation can be reduced to a simpler form with a known solution by a su"}
{"subject": "math:Cobalt(II,III)_oxide", "predicate": "proves", "object": "cobalt(ii,iii) oxide is an inorganic compound with the formula co3o4. it is one of two well characte"}
{"subject": "math:Fieller's_theorem", "predicate": "proves", "object": "in statistics, fieller's theorem allows the calculation of a confidence interval for the ratio of tw"}
{"subject": "math:Stilpnomelane", "predicate": "proves", "object": "stilpnomelane is a phyllosilicate mineral. it has the chemical formula .\n\nstilpnomelane occurs assoc"}
{"subject": "math:Adomian", "predicate": "proves", "object": "adomian is a surname. notable people with the surname include:\n\n george adomian (1922\u20131996), america"}
{"subject": "math:Jos\u00e9_Luis_Massera", "predicate": "proves", "object": "jos\u00e9 luis massera (genoa, italy, june 8, 1915 \u2013 montevideo, september 9, 2002) was a uruguayan dissi"}
{"subject": "math:Muphry's_law", "predicate": "proves", "object": "muphry's law is an adage that states: \"if you write anything criticizing editing or proofreading, th"}
{"subject": "math:Moore_matrix", "predicate": "proves", "object": "in linear algebra, a moore matrix, introduced by , is a matrix defined over a finite field. when it "}
{"subject": "math:R28", "predicate": "proves", "object": "r28 may refer to:\n\nroads \n r28 road (ghana)\n r-28 regional road (montenegro)\n r28 (south africa)\n\not"}
{"subject": "math:Chebychev\u2013Gr\u00fcbler\u2013Kutzbach_criterion", "predicate": "proves", "object": "the chebychev\u2013gr\u00fcbler\u2013kutzbach criterion determines the number of degrees of freedom of a kinematic "}
{"subject": "math:Charles_R._Doering", "predicate": "proves", "object": "charles rogers doering was a professor of mathematics at the university of michigan, ann arbor. he i"}
{"subject": "math:Arrah_Lok_Sabha_constituency", "predicate": "proves", "object": "arrah lok sabha constituency is one of the 40 lok sabha (parliamentary) constituencies in the bihar "}
{"subject": "math:Nitramide", "predicate": "proves", "object": "nitramide is a chemical compound with the molecular formula . organyl derivatives of nitramide,  are"}
{"subject": "math:Chengallur", "predicate": "proves", "object": "chengallur is a place near poojappura, trivandrum, kerala, india, where the famous chengallur shiva "}
{"subject": "math:Protactinium(V)_chloride", "predicate": "proves", "object": "protactinium(v) chloride is the chemical compound composed of protactinium and chlorine with the for"}
{"subject": "math:Parametrix", "predicate": "proves", "object": "in mathematics, and specifically the field of partial differential equations (pdes), a parametrix is"}
{"subject": "math:Cone_algorithm", "predicate": "proves", "object": "in computational geometry, the cone algorithm is an algorithm for identifying the particles that are"}
{"subject": "math:Sandy_Brody", "predicate": "proves", "object": "sandy brody (born august 4, 1967) is an american former racing driver. he competed in the british fo"}
{"subject": "math:Church_(surname)", "predicate": "proves", "object": "church is an english surname.  notable people with the surname include:\n albert t. church (born 1947"}
{"subject": "math:Silsesquioxane", "predicate": "proves", "object": "a silsesquioxane is an organosilicon compound with the chemical formula [rsio3/2]n  (r = h, alkyl, a"}
{"subject": "math:Callum_MacLeod", "predicate": "proves", "object": "callum macleod (born 20 january 1988) is a professional british race car driver who drives in the br"}
{"subject": "math:Shirley_van_der_Lof", "predicate": "proves", "object": "shirley van der lof (born november 7, 1986 in haaksbergen, overijssel) is a racing driver from the n"}
{"subject": "math:Strickler", "predicate": "proves", "object": "strickler is a surname. notable people with the surname include:\n\n (1887\u20131963), co-author of the gau"}
{"subject": "math:Gauss\u2013Kronrod_quadrature_formula", "predicate": "proves", "object": "the gauss\u2013kronrod quadrature formula is an adaptive method for numerical integration. it is a varian"}
{"subject": "math:Fan_Wu", "predicate": "proves", "object": "fan wu (\u5434\u5e06) is a bilingual chinese-american novelist and short story writer. she often translates he"}
{"subject": "math:Modulus_(algebraic_number_theory)", "predicate": "proves", "object": "in mathematics, in the field of algebraic number theory, a modulus (plural moduli) (or cycle, or ext"}
{"subject": "math:Judicial_council_(United_States)", "predicate": "proves", "object": "circuit judicial councils are panels of the united states federal courts that are charged with makin"}
{"subject": "math:Triphenylmethyl_chloride", "predicate": "proves", "object": "triphenylmethyl chloride or trityl chloride (trcl) is a white solid with the chemical formula c19h15"}
{"subject": "math:Lauricella's_theorem", "predicate": "proves", "object": "in the theory of orthogonal functions, lauricella's theorem provides a condition for checking the cl"}
{"subject": "math:Ulrike_Tillmann", "predicate": "proves", "object": "ulrike luise tillmann frs is a mathematician specializing in algebraic topology, who has made import"}
{"subject": "math:David_Carr_(journalist)", "predicate": "proves", "object": "david michael carr (september 8, 1956  february 12, 2015) was an american columnist, author, and new"}
{"subject": "math:Foldy\u2013Wouthuysen_transformation", "predicate": "proves", "object": "the foldy\u2013wouthuysen transformation was historically significant and was formulated by leslie lawran"}
{"subject": "math:Badmeaningood_Vol.3", "predicate": "proves", "object": "badmeaningood vol.3 is a compilation of tracks chosen by alternative hip hop artist peanut butter wo"}
{"subject": "math:Badmeaningood_Vol.4", "predicate": "proves", "object": "badmeaningood vol.4 is a compilation of tracks chosen and mixed by british turntablists scratch perv"}
{"subject": "math:Technetium(IV)_chloride", "predicate": "proves", "object": "technetium(iv) chloride is the inorganic compound with the formula tccl4. it was discovered in 1957 "}
{"subject": "math:Cedent", "predicate": "proves", "object": "cedent may refer to:\n\n in law, the party transferring a personal claim in the act called cession.\n a"}
{"subject": "math:Hadamard_(disambiguation)", "predicate": "proves", "object": "hadamard may refer to:\n\n z\u00e9lie hadamard (1849\u20131901), french actress\n jacques hadamard (1865\u20131963), a"}
{"subject": "math:Nass_(Islam)", "predicate": "proves", "object": "nass () is an arabic word variously translated as \"a known, clear legal injunction,\" a \"divine decre"}
{"subject": "math:P_Kesava_Menon", "predicate": "proves", "object": "puliyakot keshava menon (1917 \u2013  22 october 1979) was an indian mathematician best known as director"}
{"subject": "math:J\u00f8rgen_Pedersen", "predicate": "proves", "object": "j\u00f8rgen pedersen (1914\u20131978) was an epidemiologist. he is known for his hypothesis concerning the cor"}
{"subject": "math:Minimum_weight", "predicate": "proves", "object": "the minimum weight is a concept used in various branches of mathematics and computer science related"}
{"subject": "math:Mario_Romancini", "predicate": "proves", "object": "mario klabin xavier romancini (born december 15, 1987 in tel\u00eamaco borba) is a professional racing dr"}
{"subject": "math:Copper_sulfide", "predicate": "proves", "object": "copper sulfides  describe a family of chemical compounds and minerals with the formula cuxsy.  both "}
{"subject": "math:Universal_approximation_theorem", "predicate": "proves", "object": "in the mathematical theory of artificial neural networks, universal approximation theorems are resul"}
{"subject": "math:Erd\u0151s\u2013Fuchs_theorem", "predicate": "proves", "object": "in mathematics, in the area of additive number theory, the erd\u0151s\u2013fuchs theorem is a statement about "}
{"subject": "math:Pfeffer_integral", "predicate": "proves", "object": "in mathematics, the pfeffer integral is an integration technique created by washek pfeffer as an att"}
{"subject": "math:Esprit_Jouffret", "predicate": "proves", "object": "esprit jouffret (15 march 1837 \u2013 6 november 1904) was a french artillery officer, insurance actuary "}
{"subject": "math:Gin_Wigmore", "predicate": "proves", "object": "virginia claire wigmore (born 6 june 1986) is a new zealand singer and songwriter. featured on the  "}
{"subject": "math:Victor_Shestakov", "predicate": "proves", "object": "victor ivanovich shestakov (russian: ) (1907\u20131987) was a russian/soviet logician and theoretician of"}
{"subject": "math:Mellitic_anhydride", "predicate": "proves", "object": "mellitic anhydride, the anhydride of mellitic acid, is an organic compound with the formula c12o9.\n\n"}
{"subject": "math:Compact_stencil", "predicate": "proves", "object": "in mathematics, especially in the areas of numerical analysis called numerical partial differential "}
{"subject": "math:Ceramic_chemistry", "predicate": "proves", "object": "ceramic chemistry  studies the relationship between the physical properties of fired ceramics and ce"}
{"subject": "math:Srivastava_code", "predicate": "proves", "object": "in coding theory, srivastava codes, formulated by  professor j. n. srivastava, form a class of param"}
{"subject": "math:Books_of_secrets", "predicate": "proves", "object": "books of secrets were compilations of technical and medicinal recipes and magic formulae that began "}
{"subject": "math:Stencil_(numerical_analysis)", "predicate": "proves", "object": "in mathematics, especially the areas of numerical analysis concentrating on the numerical solution o"}
{"subject": "math:Sauber_C22", "predicate": "proves", "object": "the sauber c22 was the car with which the sauber petronas team competed in the 2003 formula one worl"}
{"subject": "math:Relic_of_Empire", "predicate": "proves", "object": "relic of empire is a science fiction novel by american writer w. michael gear.\n\nplot introduction\nse"}
{"subject": "math:Ernest_Michael", "predicate": "proves", "object": "ernest a. michael (august 26, 1925 \u2013 april 29, 2013) was a prominent american mathematician known fo"}
{"subject": "math:Working_Formulation", "predicate": "proves", "object": "the working formulation is an obsolete classification of non-hodgkin lymphomas, first proposed in 19"}
{"subject": "math:Petrie_polygon", "predicate": "proves", "object": "in geometry, a petrie polygon for a regular polytope of  dimensions is a skew polygon in which every"}
{"subject": "math:Dilation_theorem", "predicate": "proves", "object": "dilation theorem may refer to:\n\n dilation theorem for contraction semigroups\n sz.-nagy's dilation th"}
{"subject": "math:Potassium_aluminium_fluoride", "predicate": "proves", "object": "potassium aluminium fluoride (paf, chemical formula kalf4) is an inorganic compound.\n\nthis compound "}
{"subject": "math:Benzene", "predicate": "proves", "object": "benzene is an organic chemical compound with the molecular formula c6h6. the benzene molecule is com"}
{"subject": "math:Methane", "predicate": "proves", "object": "methane ( ,  ) is a chemical compound with the chemical formula  (one carbon atom bonded to four hyd"}
{"subject": "math:Cabalzarite", "predicate": "proves", "object": "cabalzarite is a rare arsenate mineral with the chemical formula . it is a member of the tsumcorite "}
{"subject": "math:Selberg_integral", "predicate": "proves", "object": "in mathematics, the selberg integral is a generalization of euler beta function to n dimensions intr"}
{"subject": "math:Cacoxenite", "predicate": "proves", "object": "cacoxenite is an iron aluminium phosphate mineral with formula: fe3+24al(po4)17o6(oh)12\u00b717(h2o). cac"}
{"subject": "math:Plane", "predicate": "proves", "object": "plane(s) most often refers to:\n aero- or airplane, a powered, fixed-wing aircraft \n plane (geometry)"}
{"subject": "math:Cadwaladerite", "predicate": "proves", "object": "cadwaladerite is a rare aluminium halide mineral with formula: alcl(oh)2\u00b74(h2o). it was reported for"}
{"subject": "math:Cafarsite", "predicate": "proves", "object": "cafarsite (\u00b7)\nis a rare calcium iron arsenite mineral. manganese and titanium occur with iron in the"}
{"subject": "math:N-Formylpiperidine", "predicate": "proves", "object": "n-formylpiperidine is an organic compound with the formula c6h11no. it is the amide of formic acid a"}
{"subject": "math:Reinhard_Oehme", "predicate": "proves", "object": "reinhard oehme (; born 26 january 1928, wiesbaden; died sometime between 29 september and 4 october "}
{"subject": "math:Argo_Racing_Cars", "predicate": "proves", "object": "argo racing cars ltd. is a british racing constructor founded by swiss designer jo marquart and brit"}
{"subject": "math:Methanesulfonic_acid", "predicate": "proves", "object": "methanesulfonic acid (msoh) or methanesulphonic acid (in british english) is an organosulfuric, colo"}
{"subject": "math:Bricard_octahedron", "predicate": "proves", "object": "in geometry, a bricard octahedron is a member of a family of flexible polyhedra constructed by raoul"}
{"subject": "math:2001_FIVB_Volleyball_Men's_World_Grand_Champions_C", "predicate": "proves", "object": "the 2001 fivb volleyball men's world grand champions cup was held in nagoya and tokyo, japan from 20"}
{"subject": "math:Fuchs'_theorem", "predicate": "proves", "object": "in mathematics, fuchs' theorem, named after lazarus fuchs, states that a second-order differential e"}
{"subject": "math:Kristian_Kolby", "predicate": "proves", "object": "kristian kolby (born 9 october 1978) is a danish racing driver from ringk\u00f8bing in denmark.\n\ncareer \n"}
{"subject": "math:Essential_manifold", "predicate": "proves", "object": "in geometry, an essential manifold is a special type of closed manifold. the notion was first introd"}
{"subject": "math:Uniform_2_k1_polytope", "predicate": "proves", "object": "{{displaytitle:uniform 2\u2009k1 polytope}}\n\nin geometry, 2k1 polytope is a uniform polytope in n dimensi"}
{"subject": "math:Uniform_1_k2_polytope", "predicate": "proves", "object": "{{displaytitle:uniform 1\u2009k2 polytope}}\nin geometry, 1k2 polytope is a uniform polytope in n-dimensio"}
{"subject": "math:Uniform_coloring", "predicate": "proves", "object": "in geometry, a uniform coloring is a property of a uniform figure (uniform tiling or uniform polyhed"}
{"subject": "math:Aleksey_Korneev", "predicate": "proves", "object": "aleksey korneev (born 27 june 1998 in moscow) is a russian racing driver.\n\ncareer\n\nkarting\nkorneev b"}
{"subject": "math:Sinusoidal_spiral", "predicate": "proves", "object": "in algebraic geometry, the sinusoidal spirals are a family of curves defined by the equation in pola"}
{"subject": "math:Lima\u00e7on_trisectrix", "predicate": "proves", "object": "in geometry, a lima\u00e7on trisectrix is the name for the  quartic plane curve that is a trisectrix that"}
{"subject": "math:Sectrix_of_Maclaurin", "predicate": "proves", "object": "in geometry, a sectrix of maclaurin is defined as the curve swept out by the point of intersection o"}
{"subject": "math:Stock_car_racing_in_the_United_Kingdom", "predicate": "proves", "object": "stock car racing in the united kingdom covers a number of different oval racing formulas. contact is"}
{"subject": "math:S-unit", "predicate": "proves", "object": "in mathematics, in the field of algebraic number theory, an s-unit generalises the idea of unit of t"}
{"subject": "math:Structural_model", "predicate": "proves", "object": "structural model may refer to:\n\nstructural model of the psyche, a freudian model of psychology\nstruc"}
{"subject": "math:Uniform_tilings_in_hyperbolic_plane", "predicate": "proves", "object": "in hyperbolic geometry, a uniform hyperbolic tiling (or regular, quasiregular or semiregular hyperbo"}
{"subject": "math:Height_(disambiguation)", "predicate": "proves", "object": "height is the measurement of vertical distance.\n\nheight may also refer to:\n\nmathematics and computer"}
{"subject": "math:Lippo_Village_International_Formula_Circuit", "predicate": "proves", "object": "the lippo village international formula circuit is a defunct street circuit in lippo village tangera"}
{"subject": "math:Greater_East_Asia_Railroad", "predicate": "proves", "object": "was an idea for a railroad linking japan with the asian mainland and europe, formulated in 1938 duri"}
{"subject": "math:Lattice-based_cryptography", "predicate": "proves", "object": "lattice-based cryptography is the generic term for constructions of cryptographic primitives that in"}
{"subject": "math:Formula_One_Teams_Association", "predicate": "proves", "object": "the formula one teams association (fota) was a group of formula one teams that formed at a meeting i"}
{"subject": "math:Marketing_research_process", "predicate": "proves", "object": "the marketing research process is a six-step process involving the definition of the problem being s"}
{"subject": "math:Ministry_of_Economic_Affairs_(Taiwan)", "predicate": "proves", "object": "the ministry of economic affairs (moea; ) is the ministry of the republic of china (taiwan) responsi"}
{"subject": "math:Lattice_problem", "predicate": "proves", "object": "in computer science, lattice problems are a class of optimization problems related to mathematical o"}
{"subject": "math:Shapiro's_lemma", "predicate": "proves", "object": "in mathematics, especially in the areas of abstract algebra dealing with group cohomology or relativ"}
{"subject": "math:Fake_4-ball", "predicate": "proves", "object": "in mathematics, a fake 4-ball is a compact contractible topological 4-manifold.  michael freedman pr"}
{"subject": "math:Improvised_Meditations_and_Excursions", "predicate": "proves", "object": "improvised meditations & excursions is a jazz recording by john lewis released in 1959.\n\ntrack listi"}
{"subject": "math:Decagonal_bipyramid", "predicate": "proves", "object": "in geometry, a decagonal bipyramid is one of the infinite set of bipyramids, dual to the infinite pr"}
{"subject": "math:Bass\u2013Serre_theory", "predicate": "proves", "object": "bass\u2013serre theory is a part of the mathematical subject of group theory that deals with analyzing th"}
{"subject": "math:Vasilije_Calasan", "predicate": "proves", "object": "vasilije calasan (born december 23, 1981 in zagreb, croatia) is a former french racing driver.\n\nvasi"}
{"subject": "math:4-Methylbenzaldehyde", "predicate": "proves", "object": "4-methylbenzaldehyde is the aromatic aldehyde with the formula ch3c6h4cho. it is a colorless liquid."}
{"subject": "math:Great_dodecicosacron", "predicate": "proves", "object": "in geometry, the great dodecicosacron (or great dipteral trisicosahedron) is the dual of the great d"}
{"subject": "math:Ashley_Taws", "predicate": "proves", "object": "\n\nashley taws (born november 1, 1983) is a canadian racing driver.\n\ntaws started racing at the age o"}
{"subject": "math:Wieferich's_theorem", "predicate": "proves", "object": "wieferich's theorem may refer to one of the following results named after arthur wieferich:\n\n wiefer"}
{"subject": "math:Roger_Godberd", "predicate": "proves", "object": "roger godberd was a medieval outlaw who has been suggested as a possible historical basis for the le"}
{"subject": "math:FOTA", "predicate": "proves", "object": "fota or fota may refer to:\n\nfota\nfota (technology), as \"firmware over-the-air\"\nfree over-the-air tel"}
{"subject": "math:Decidable_sublanguages_of_set_theory", "predicate": "proves", "object": "in mathematical logic, various sublanguages of set theory are decidable.  these include:\n sets with "}
{"subject": "math:Kurosh_subgroup_theorem", "predicate": "proves", "object": "in the mathematical field of group theory, the kurosh subgroup theorem describes the algebraic struc"}
{"subject": "math:Diphenylethylenediamine", "predicate": "proves", "object": "1,2-diphenyl-1,2-ethylenediamine, dpen, is an organic compound with the formula h2nchphchphnh2, wher"}
{"subject": "math:Stellation_diagram", "predicate": "proves", "object": "in geometry, a stellation diagram or stellation pattern is a two-dimensional diagram in the plane of"}
{"subject": "math:Rostislav_Grigorchuk", "predicate": "proves", "object": "rostislav ivanovich grigorchuk (; b. february 23, 1953) is a mathematician working in different area"}
{"subject": "math:Faujasite", "predicate": "proves", "object": "faujasite (fau-type zeolite) is a mineral group in the zeolite family of silicate minerals. the grou"}
{"subject": "math:Ammonium_hexafluorophosphate", "predicate": "proves", "object": "ammonium hexafluorophosphate is the inorganic compound with the formula nh4pf6. it is a white water-"}
{"subject": "math:Sodium_hexafluorophosphate", "predicate": "proves", "object": "sodium hexafluorophosphate is an inorganic compound with the chemical formula na[pf6].\n\nin 2015 it h"}
{"subject": "math:Arsenic_triiodide", "predicate": "proves", "object": "arsenic triiodide is the inorganic compound with the formula asi3. it is an orange to dark red solid"}
{"subject": "math:Disulfur_dinitride", "predicate": "proves", "object": "disulfur dinitride is the chemical compound with the formula .\n\npreparation and reactions\npassing ga"}
{"subject": "math:1-Chlorobutane", "predicate": "proves", "object": "1-chlorobutane is an alkyl halide with the chemical formula ch3(ch2)3cl. it is a colorless, flammabl"}
{"subject": "math:Joseph_O'Rourke_(professor)", "predicate": "proves", "object": "joseph o'rourke is the spencer t. and ann w. olin professor of computer science at smith college and"}
{"subject": "math:Baby_Bottom_Butter", "predicate": "proves", "object": "baby bottom butter is a balm sold by english supermarket chain waitrose, used upon babies' bottoms t"}
{"subject": "math:Apache_Mahout", "predicate": "proves", "object": "apache mahout is a project of the apache software foundation to produce free implementations of dist"}
{"subject": "math:R25", "predicate": "proves", "object": "r25 may refer to:\n\nautomobiles \n bmw r25, a german motorcycle\n renault 25, a french executive car\n r"}
{"subject": "math:Grushko_theorem", "predicate": "proves", "object": "in the mathematical subject of group theory, the grushko theorem or the grushko\u2013neumann theorem is a"}
{"subject": "math:Algebra", "predicate": "proves", "object": "algebra ()  () is the study of variables and the rules for manipulating these variables in formulas;"}
{"subject": "math:Trigonometry", "predicate": "proves", "object": "trigonometry () is a branch of mathematics concerned with relationships between  angles and ratios o"}
{"subject": "math:1,8-Diaminonaphthalene", "predicate": "proves", "object": "1,8-diaminonaphthalene is an organic compound with the formula ch(nh).  it is one of several isomeri"}
{"subject": "math:Italian_Open_Masters", "predicate": "proves", "object": "the karting italian championship is a kart racing series based in italy. until 2010 it was called it"}
{"subject": "math:The_Black_Onyx", "predicate": "proves", "object": "is a 1984 role-playing video game released in japan, developed by bullet-proof software, with develo"}
{"subject": "math:Pippa_Mann", "predicate": "proves", "object": "pippa mann (born 11 august 1983) is a british racing car driver, who competes in the indycar series."}
{"subject": "math:John_R._Stallings", "predicate": "proves", "object": "john robert stallings jr. (july 22, 1935 \u2013 november 24, 2008) was a mathematician known for his semi"}
{"subject": "math:K._R._Parthasarathy_(probabilist)", "predicate": "proves", "object": "kalyanapuram rangachari parthasarathy (25 june 1936 \u2013 14 june 2023) was an indian statistician who w"}
{"subject": "math:Horrocks_bundle", "predicate": "proves", "object": "in algebraic geometry, horrocks bundles are certain indecomposable rank 3 vector bundles (locally fr"}
{"subject": "math:Dynamic_relaxation", "predicate": "proves", "object": "dynamic relaxation is a numerical method, which, among other things, can be used to do \"form-finding"}
{"subject": "math:X-ray_transform", "predicate": "proves", "object": "in mathematics, the x-ray transform (also called ray transform or john transform) is an integral tra"}
{"subject": "math:Nassif_Ghoussoub", "predicate": "proves", "object": "nassif  a. ghoussoub  is a canadian mathematician working in the fields of non-linear analysis and p"}
{"subject": "math:Medical_findings", "predicate": "proves", "object": "medical findings are the collective physical and psychological occurrences of patients surveyed by a"}
{"subject": "math:Agente_X_1-7_operazione_Oceano", "predicate": "proves", "object": "agente x 1-7 operazione oceano () is a 1965  italian-spanish  spy film adventure directed by tanio b"}
{"subject": "math:Free_loop", "predicate": "proves", "object": "in the mathematical field of topology, a free loop is a variant of the mathematical notion of a loop"}
{"subject": "math:Analysis_on_fractals", "predicate": "proves", "object": "analysis on fractals or calculus on fractals is a generalization of calculus on smooth manifolds to "}
{"subject": "math:Friis_formula", "predicate": "proves", "object": "there are two formulas or equations named after danish-american radio engineer harald t. friis\n frii"}
{"subject": "math:Complex_analytic_variety", "predicate": "proves", "object": "in mathematics, and in particular differential geometry and complex geometry, a complex analytic var"}
{"subject": "math:Semialgebraic_space", "predicate": "proves", "object": "in mathematics, especially in real algebraic geometry, a semialgebraic space is a space which is loc"}
{"subject": "math:T-model", "predicate": "proves", "object": "in finance, the t-model is a formula that states the returns earned by holders of a company's stock "}
{"subject": "math:Euler's_theorem_(differential_geometry)", "predicate": "proves", "object": "in the mathematical field of differential geometry, euler's theorem is a result on the curvature of "}
{"subject": "math:Schild's_ladder", "predicate": "proves", "object": "in the theory of general relativity, and differential geometry more generally, schild's ladder is a "}
{"subject": "math:Cyril_Kieft", "predicate": "proves", "object": "cyril kieft (1911\u20132004) was a welsh industrialist and racing driver. he founded kieft cars, which pr"}
{"subject": "math:F170", "predicate": "proves", "object": "f170 may refer to :\n farman f.170 jabiru, a 1925 single-engine airliner\n hms antelope (f170), a 1971"}
{"subject": "math:History_of_attachment_theory", "predicate": "proves", "object": "attachment theory, originating in the work of john bowlby, is a psychological, evolutionary and etho"}
{"subject": "math:List_of_M&M's_video_games", "predicate": "proves", "object": "\n\noverview\n\nm&m's the lost formulas\n\nm&m's the lost formulas is a 3d platform game and the first m&m"}
{"subject": "math:Charlot_equation", "predicate": "proves", "object": "the charlot equation, named after gaston charlot, is used in analytical chemistry to relate the hydr"}
{"subject": "math:Maharam's_theorem", "predicate": "proves", "object": "in mathematics, maharam's theorem is a deep result about the decomposability of measure spaces, whic"}
{"subject": "math:His_Lordship's_Dilemma", "predicate": "proves", "object": "his lordship's dilemma is a 1915 silent short comedy film produced by the gaumont film company and d"}
{"subject": "math:Rob_White_(Formula_One)", "predicate": "proves", "object": "robert white (born 15 july 1965) is a formula one engineer from england. as of 2021, he is the opera"}
{"subject": "math:Bertrand\u2013Diguet\u2013Puiseux_theorem", "predicate": "proves", "object": "in the mathematical study of the differential geometry of surfaces, the bertrand\u2013diguet\u2013puiseux theo"}
{"subject": "math:Shape_theory_(mathematics)", "predicate": "proves", "object": "shape theory is a branch of topology that provides a more global view of the topological spaces than"}
{"subject": "math:Levi-Civita_parallelogramoid", "predicate": "proves", "object": "in the mathematical field of differential geometry, the levi-civita parallelogramoid is a quadrilate"}
{"subject": "math:Onward_ticket", "predicate": "proves", "object": "an onward ticket is a proof of a booked train, bus or airline ticket originating from the country ab"}
{"subject": "math:Rules:_Pyaar_Ka_Superhit_Formula", "predicate": "proves", "object": "rules: pyaar ka superhit formula is a 2003 indian hindi romance comedy film directed by parvati bala"}
{"subject": "math:2003_Formula_3_Euro_Series", "predicate": "proves", "object": "the 2003 formula 3 euro series season was the first championship year of europe's premier formula th"}
{"subject": "math:Magnesium_hydride", "predicate": "proves", "object": "magnesium hydride is the chemical compound with the molecular formula mgh2. it contains 7.66% by wei"}
{"subject": "math:List_of_Trans-AMA_motocross_champions", "predicate": "proves", "object": "the following is a list of trans-ama champions, from 1970 to 1978. the championship was an internati"}
{"subject": "math:Brian_Reid_(motorcyclist)", "predicate": "proves", "object": "brian reid is a former motorcycle road racer and world formula two champion from northern ireland.\n\n"}
{"subject": "math:Aranidipine", "predicate": "proves", "object": "aranidipine (inn, trade name sapresta) is a calcium channel blocker. it is a dihydropyridine derivat"}
{"subject": "math:The_Love_Lottery", "predicate": "proves", "object": "the love lottery is a 1954 british comedy film directed by charles crichton and starring david niven"}
{"subject": "math:Prandtl\u2013Glauert_transformation", "predicate": "proves", "object": "the prandtl\u2013glauert transformation is a mathematical technique which allows solving certain compress"}
{"subject": "math:Ping-pong_lemma", "predicate": "proves", "object": "in mathematics, the ping-pong lemma, or table-tennis lemma, is any of several mathematical statement"}
{"subject": "math:Cross_River_languages", "predicate": "proves", "object": "the cross river or delta\u2013cross languages are a branch of the benue\u2013congo language family spoken in s"}
{"subject": "math:Ramaiyengar_Sridharan", "predicate": "proves", "object": "ramaiyengar sridharan is a mathematician at chennai mathematical institute, formerly at the tata ins"}
{"subject": "math:Disulfur", "predicate": "proves", "object": "disulfur is the diatomic molecule with the formula s2.  it is analogous to the dioxygen molecule but"}
{"subject": "math:Delay_certificate", "predicate": "proves", "object": "a delay certificate (japanese: , \"certificate of lateness\"; german: bescheinigung \u00fcber zugversp\u00e4tung"}
{"subject": "math:Low_valent_magnesium_compounds", "predicate": "proves", "object": "a number of stable low valent magnesium compounds containing a metal-metal, mg-mg, bond, where magne"}
{"subject": "math:Jacobi's_four-square_theorem", "predicate": "proves", "object": "in number theory, jacobi's four-square theorem gives a formula for the number of ways that a given p"}
{"subject": "math:Herma_(Xenakis)", "predicate": "proves", "object": "herma (from greek \u1f15\u03c1\u03bc\u03b1 \"a stringing together, a foundation\") is a piece for solo piano composed by i"}
{"subject": "math:Szpiro's_conjecture", "predicate": "proves", "object": "in number theory, szpiro's conjecture relates to the conductor and the discriminant of an elliptic c"}
{"subject": "math:Regular_chain", "predicate": "proves", "object": "in mathematics, and more specifically in computer algebra and elimination theory, a regular chain is"}
{"subject": "math:List_of_mathematical_series", "predicate": "proves", "object": "this list of mathematical series contains formulae for finite and infinite sums. it can be used in c"}
{"subject": "math:Shafarevich_conjecture", "predicate": "proves", "object": "in mathematics, the shafarevich conjecture, named for igor shafarevich, may refer to:\nthe tate\u2013shafa"}
{"subject": "math:International_Workshop_on_First-Order_Theorem_Prov", "predicate": "proves", "object": "the international workshop on first-order theorem proving (ftp) is a scientific meeting of researche"}
{"subject": "math:Research_Institute_for_Symbolic_Computation", "predicate": "proves", "object": "the research institute for symbolic computation (risc linz) is a research institute in the area of s"}
{"subject": "math:Geometric_and_Functional_Analysis", "predicate": "proves", "object": "geometric and functional analysis (gafa) is a mathematical journal published by birkh\u00e4user, an indep"}
{"subject": "math:Phenacyl_group", "predicate": "proves", "object": "in organic chemistry, a phenacyl group is an aromatic substituent that consists of a phenyl group at"}
{"subject": "math:Shah_Alam_Circuit", "predicate": "proves", "object": "shah alam circuit (\u062d\u0644\u0628\u0629 \u0634\u0627\u0647 \u0639\u0627\u0644\u0645) or batu tiga speedway circuit was a racing circuit in shah alam, s"}
{"subject": "math:Fundamental_lemma_of_sieve_theory", "predicate": "proves", "object": "in number theory, the fundamental lemma of sieve theory is any of several results that systematize t"}
{"subject": "math:Aluminium_acetoacetate", "predicate": "proves", "object": "aluminium acetoacetate is an antacid with the chemical formula c18h27alo9.\n\nantacids\naluminium compl"}
{"subject": "math:Circle_of_antisimilitude", "predicate": "proves", "object": "in inversive geometry, the circle of antisimilitude (also known as mid-circle) of two circles, \u03b1 and"}
{"subject": "math:Formal_scheme", "predicate": "proves", "object": "in mathematics, specifically in algebraic geometry, a formal scheme is a type of space which include"}
{"subject": "math:Valuative_criterion", "predicate": "proves", "object": "in mathematics, specifically algebraic geometry, the valuative criteria are a collection of results "}
{"subject": "math:Pookie_(vehicle)", "predicate": "proves", "object": "the pookie mrap vehicle was created to deal with the constant mining of  roadways during the rhodesi"}
{"subject": "math:Dino_Toso", "predicate": "proves", "object": "dino vittorio marcellinus toso (11 february 1969 \u2013 13 august 2008)  was an italian-dutch engineer wh"}
{"subject": "math:Conductor_of_an_abelian_variety", "predicate": "proves", "object": "in mathematics, in diophantine geometry, the conductor of an abelian variety defined over a local or"}
{"subject": "math:Limiting_point", "predicate": "proves", "object": "limiting point has the following meanings in mathematics:\n\nlimit (mathematics)\nlimit point in mathem"}
{"subject": "math:Inversive_distance", "predicate": "proves", "object": "in inversive geometry, the inversive distance is a way of measuring the \"distance\" between two circl"}
{"subject": "math:2008_Buenos_Aires_Grand_Prix_Race_2", "predicate": "proves", "object": "results from the 2008 buenos aires grand prix held at buenos aires on august 10, 2008, in the aut\u00f3dr"}
{"subject": "math:Truncated_octahedral_prism", "predicate": "proves", "object": "in 4-dimensional geometry, a truncated octahedral prism or omnitruncated tetrahedral prism is a conv"}
{"subject": "math:Adriano_Garsia", "predicate": "proves", "object": "adriano mario garsia (born 20 august 1928) is a tunisian-born italian american mathematician who wor"}
{"subject": "math:Coordinate-free", "predicate": "proves", "object": "a coordinate-free, or component-free, treatment of a scientific theory or mathematical topic develop"}
{"subject": "math:Xacti", "predicate": "proves", "object": "xacti is a brand of sanyo hybrid digital camera and camcorder.  they use a distinct pistol-shaped fo"}
{"subject": "math:2008_Superleague_Formula_season", "predicate": "proves", "object": "the 2008 superleague formula season was the inaugural superleague formula championship. the season s"}
{"subject": "math:Vincenty's_formulae", "predicate": "proves", "object": "vincenty's formulae are two related iterative methods used in geodesy to calculate the distance betw"}
{"subject": "math:Supersymmetry_algebra", "predicate": "proves", "object": "in theoretical physics, a supersymmetry algebra (or susy algebra) is a mathematical formalism for de"}
{"subject": "math:Steiner_chain", "predicate": "proves", "object": "in geometry, a steiner chain is a set of  circles, all of which are tangent to two given non-interse"}
{"subject": "math:Terbium_silicide", "predicate": "proves", "object": "terbium silicide is a chemical compound of the rare earth metal terbium with silicon having chemical"}
{"subject": "math:Ludwig_Stickelberger", "predicate": "proves", "object": "ludwig stickelberger (18 may 1850 \u2013 11 april 1936) was a swiss mathematician who made important cont"}
{"subject": "math:2.2.2-Cryptand", "predicate": "proves", "object": "[2.2.2]cryptand is the organic compound with the formula n(ch2ch2och2ch2och2ch2)3n. this bicyclic mo"}
{"subject": "math:Z\u0259y\u0259m,_Qakh", "predicate": "proves", "object": "z\u0259y\u0259m (also, zagam, zagyam, and zeyam; ) is a village and municipality in the qakh rayon of azerbaij"}
{"subject": "math:Riemannian_connection_on_a_surface", "predicate": "proves", "object": "in mathematics, the riemannian connection on a surface or riemannian 2-manifold refers to several in"}
{"subject": "math:Murray_H._Protter", "predicate": "proves", "object": "murray harold protter (february 13, 1918 \u2013 may 1, 2008) was an american mathematician and educator, "}
{"subject": "math:Continuant_(mathematics)", "predicate": "proves", "object": "in algebra, the continuant is a multivariate polynomial representing the determinant of a tridiagona"}
{"subject": "math:1990_Australian_Drivers'_Championship", "predicate": "proves", "object": "the 1990 australian drivers' championship was an australian motor racing title sanctioned by the con"}
{"subject": "math:Jean-Michel_Bismut", "predicate": "proves", "object": "jean-michel bismut (born 26 february 1948) is a french mathematician who has been a professor at the"}
{"subject": "math:Equivariant_algebraic_K-theory", "predicate": "proves", "object": "in mathematics, the equivariant algebraic k-theory is an algebraic k-theory associated to the catego"}
{"subject": "math:Hans_Weinberger", "predicate": "proves", "object": "hans f. weinberger (september 27, 1928 in vienna - september 15, 2017 in durham, north carolina) was"}
{"subject": "math:Slam-dunk", "predicate": "proves", "object": "in the mathematical field of low-dimensional topology, the slam-dunk is a particular modification of"}
{"subject": "math:Ridge_(differential_geometry)", "predicate": "proves", "object": "in differential geometry, a smooth surface in three dimensions has a ridge point when a line of curv"}
{"subject": "math:Petrovsky_lacuna", "predicate": "proves", "object": "in mathematics, a petrovsky lacuna, named for the russian mathematician i. g. petrovsky, is a region"}
{"subject": "math:Codd's_theorem", "predicate": "proves", "object": "codd's theorem states that relational algebra and the domain-independent relational calculus queries"}
{"subject": "math:Curtis\u2013Hedlund\u2013Lyndon_theorem", "predicate": "proves", "object": "the curtis\u2013hedlund\u2013lyndon theorem is a mathematical characterization of cellular automata in terms o"}
{"subject": "math:Mirror_symmetry_(disambiguation)", "predicate": "proves", "object": "mirror symmetry may refer to:\n\nmirror symmetry (string theory), a relation between two calabi\u2013yau ma"}
{"subject": "math:Affine_focal_set", "predicate": "proves", "object": "in mathematics, and especially affine differential geometry, the affine focal set of a smooth subman"}
{"subject": "math:Stable_vector_bundle", "predicate": "proves", "object": "in mathematics, a stable vector bundle is a (holomorphic or algebraic) vector bundle that is stable "}
{"subject": "math:Swimhiking", "predicate": "proves", "object": "swimhiking is a recreation activity which combines hiking and outdoor swimming. it has been conceive"}
{"subject": "math:Hamad_Al_Fardan", "predicate": "proves", "object": "hamad al fardan (; born june 29, 1987, in manama), is a bahraini racing driver and musician. he is t"}
{"subject": "math:Duistermaat\u2013Heckman_formula", "predicate": "proves", "object": "in mathematics, the duistermaat\u2013heckman formula, due to , states that the \npushforward of the canoni"}
{"subject": "math:James_Arthur_Harris", "predicate": "proves", "object": "james arthur harris (1880\u20131930) was a botanist and biometrician, known for the harris\u2013benedict equat"}
{"subject": "math:1987_Australian_Drivers'_Championship", "predicate": "proves", "object": "the 1987 australian drivers' championship was a cams sanctioned national motor racing title conteste"}
{"subject": "math:Principal_geodesic_analysis", "predicate": "proves", "object": "in geometric data analysis and statistical shape analysis, principal geodesic analysis is a generali"}
{"subject": "math:Lacunarity", "predicate": "proves", "object": "lacunarity, from the latin lacuna, meaning \"gap\" or \"lake\", is a specialized term in geometry referr"}
{"subject": "math:Ambient_calculus", "predicate": "proves", "object": "in computer science, the ambient calculus is a process calculus devised by luca cardelli and andrew "}
{"subject": "math:Euro_proof_sets", "predicate": "proves", "object": "euro proof sets are proof sets of the coins of the euro. proof coins were originally coins minted to"}
{"subject": "math:Daniel_Morad", "predicate": "proves", "object": "daniel morad (born april 24, 1990) is a canadian-assyrian racecar driver. he is notable for winning "}
{"subject": "math:Stable_curve", "predicate": "proves", "object": "in algebraic geometry, a stable curve is an algebraic curve that is asymptotically stable in the sen"}
{"subject": "math:Kingman's_formula", "predicate": "proves", "object": "in queueing theory, a discipline within the mathematical theory of probability, kingman's formula al"}
{"subject": "math:Augustus_De_Morgan", "predicate": "proves", "object": "augustus de morgan (27 june 1806 \u2013 18 march 1871) was a british mathematician and logician. he formu"}
{"subject": "math:Sang_piao_xiao", "predicate": "proves", "object": "sang piao xiao or sangpiaoxiao (chinese: \u6851\u87b5\u86f8, sometimes called mantis cradle or ootheca mantidis in "}
{"subject": "math:Formulary_(pharmacy)", "predicate": "proves", "object": "a formulary is a list of pharmaceutical drugs, often decided upon by a group of people, for various "}
{"subject": "math:Kaditcha", "predicate": "proves", "object": "kaditcha was an automobile manufacturer in australia. the company, formed by queensland engineer bar"}
{"subject": "math:Shrike_(racing_car)", "predicate": "proves", "object": "shrike is a racing car developed in australia by the students of the croydon park institute of tafe "}
{"subject": "math:Salgira", "predicate": "proves", "object": "salgira () is an urdu-language pakistani black-and-white film released in 1969. it is a melodious lo"}
{"subject": "math:Manin_obstruction", "predicate": "proves", "object": "in mathematics, in the field of arithmetic algebraic geometry, the manin obstruction (named after yu"}
{"subject": "math:Tensor_rank_decomposition", "predicate": "proves", "object": "in multilinear algebra, the tensor rank decomposition  or the  decomposition of a tensor is the deco"}
{"subject": "math:Tensor_reshaping", "predicate": "proves", "object": "in multilinear algebra, a reshaping of tensors is any bijection between the set of indices of an ord"}
{"subject": "math:Macarthur_(novel)", "predicate": "proves", "object": "macarthur or the red book is a 2007 novel by filipino author bob ong. it is the sixth published work"}
{"subject": "math:Hafnium(IV)_silicate", "predicate": "proves", "object": "hafnium silicate is the hafnium(iv) salt of silicic acid with the chemical formula of hfsio4.\n\nthin "}
{"subject": "math:Kharaharapriya", "predicate": "proves", "object": "kharaharapriya is a r\u0101ga in carnatic music. it is the 22nd melakarta r\u0101ga (parent scale) in the 72 m"}
{"subject": "math:Mathematical_economics", "predicate": "proves", "object": "mathematical economics is the application of mathematical methods to represent theories and analyze "}
{"subject": "math:Kolmogorov's_criterion", "predicate": "proves", "object": "in probability theory, kolmogorov's criterion, named after andrey kolmogorov, is a theorem giving a "}
{"subject": "math:Geometry", "predicate": "proves", "object": "geometry (; ) is a branch of mathematics concerned with properties of space such as the distance, sh"}
{"subject": "math:N!_conjecture", "predicate": "proves", "object": "in mathematics, the n! conjecture is the conjecture that the dimension of a certain bi-graded module"}
{"subject": "math:Jordan_191", "predicate": "proves", "object": "the jordan 191 was a formula one car designed by gary anderson for use by jordan grand prix in its d"}
{"subject": "math:Planar_separator_theorem", "predicate": "proves", "object": "in graph theory, the planar separator theorem is a form of isoperimetric inequality for planar graph"}
{"subject": "math:Tensor_decomposition", "predicate": "proves", "object": "in multilinear algebra, a tensor decomposition  is any scheme for expressing a \"data tensor\" (m-way "}
{"subject": "math:BAR_006", "predicate": "proves", "object": "the bar 006 was a formula one car that competed in the 2004 formula one season. the car was driven b"}
{"subject": "math:Burke's_theorem", "predicate": "proves", "object": "in queueing theory, a discipline within the mathematical theory of probability, burke's theorem (som"}
{"subject": "math:XHTML", "predicate": "proves", "object": "extensible hypertext markup language (xhtml) is part of the family of xml markup languages. it mirro"}
{"subject": "math:Ortho-Vanillin", "predicate": "proves", "object": "ortho-vanillin (2-hydroxy-3-methoxybenzaldehyde) is an organic solid present in the extracts and ess"}
{"subject": "math:Veritas_School_(Newberg,_Oregon)", "predicate": "proves", "object": "veritas school is a private, classical christian school in newberg, oregon, united states. founded i"}
{"subject": "math:William_Floyd_(mathematician)", "predicate": "proves", "object": "william j. floyd is an american mathematician specializing in topology. he is currently a professor "}
{"subject": "math:Dynamic_equation", "predicate": "proves", "object": "in mathematics, dynamic equation can refer to:\n\ndifference equation in discrete time\ndifferential eq"}
{"subject": "math:Bogomolov_conjecture", "predicate": "proves", "object": "in mathematics, the bogomolov conjecture is a conjecture, named after fedor bogomolov, in arithmetic"}
{"subject": "math:Walter_Benz", "predicate": "proves", "object": "walter benz (may 2, 1931 lahnstein \u2013 january 13, 2017 ratzeburg) was a german mathematician, an expe"}
{"subject": "math:New_Zealand_Formula_Ford_Championship", "predicate": "proves", "object": "the mta new zealand formula ford championship has been held annually in new zealand racing circuits."}
{"subject": "math:Max_Kelly", "predicate": "proves", "object": "gregory maxwell \"max\" kelly (5 june 1930 \u2013 26 january 2007) was an australian mathematician who work"}
{"subject": "math:Schr\u00f6der\u2013Bernstein_theorem_for_measurable_spaces", "predicate": "proves", "object": "the cantor\u2013bernstein\u2013schroeder theorem of set theory has a counterpart for measurable spaces, someti"}
{"subject": "math:List_of_International_Formula_3000_drivers", "predicate": "proves", "object": "this is a list of international formula 3000 drivers, that is, a list of drivers who have made at le"}
{"subject": "math:Herbert_Edelsbrunner", "predicate": "proves", "object": "herbert edelsbrunner (born march 14, 1958) is a computer scientist working in the field of computati"}
{"subject": "math:McIntosh", "predicate": "proves", "object": "mcintosh or mackintosh (gaelic: ) may refer to:\n\nproducts and brands \n mackintosh, a form of waterpr"}
{"subject": "math:Tetroxoprim", "predicate": "proves", "object": "tetroxoprim (inn) is a derivative of trimethoprim. it was first described in 1979.\n\nits chemical for"}
{"subject": "math:Claudio_Lombardi", "predicate": "proves", "object": "claudio lombardi (born 1942, in alessandria) is a former formula one engineer, best known for his wo"}
{"subject": "math:Ferrari_F92A", "predicate": "proves", "object": "the ferrari f92a was a formula one car designed by jean-claude migeot for ferrari for use in the 199"}
{"subject": "math:Fermat's_Last_Theorem", "predicate": "proves", "object": "in number theory, fermat's last theorem (sometimes called fermat's conjecture, especially in older t"}
{"subject": "math:India's_three-stage_nuclear_power_programme", "predicate": "proves", "object": "india's three-stage nuclear power programme was formulated by homi bhabha, the well-known physicist,"}
{"subject": "math:Seaboot", "predicate": "proves", "object": "seaboots, also known as sailing boots, are a type of waterproof boot designed for use on deck on boa"}
{"subject": "math:Eublemma_anachoresis", "predicate": "proves", "object": "eublemma anachoresis, the banner, is a moth of the family erebidae. the species was first described "}
{"subject": "math:Rob_Slotemaker", "predicate": "proves", "object": "adriaan robert \"sloot\" slotemaker (13 june 1929 in batavia \u2013 16 september 1979 in zandvoort) was a d"}
{"subject": "math:Valency_interaction_formula", "predicate": "proves", "object": "the valency interaction formula, or vif provides a way of drawing or interpreting  the molecular str"}
{"subject": "math:Ethylvanillin", "predicate": "proves", "object": "ethylvanillin is the organic compound with the formula (c2h5o)(ho)c6h3cho. this colorless solid cons"}
{"subject": "math:Superstrong", "predicate": "proves", "object": "in mathematics, superstrong may refer to:\nsuperstrong cardinal in set theory\nsuperstrong approximati"}
{"subject": "math:Tetraethylgermanium", "predicate": "proves", "object": "tetraethylgermanium (iupac name: tetraethylgermane), abbreviated teg, is an organogermanium compound"}
{"subject": "math:Dicobalt_edetate", "predicate": "proves", "object": "dicobalt edetate is the coordination compound with the approximate formula co2(edta)(h2o)6. it is a "}
{"subject": "math:1991_British_Formula_Three_Championship", "predicate": "proves", "object": "the 1991 british formula three season was the 41st british formula three championship, won by brazil"}
{"subject": "math:Markov_spectrum", "predicate": "proves", "object": "in mathematics, the markov spectrum devised by andrey markov is a complicated set of real numbers ar"}
{"subject": "math:F300", "predicate": "proves", "object": "f300 or f.300 may refer to:\n\n farman f.300, a 1930 french  airliner\n ferrari f300, a 1998 italian fo"}
{"subject": "math:Vance_Faber", "predicate": "proves", "object": "vance faber (born december 1, 1944 in buffalo, new york) is a mathematician, known for his work in c"}
{"subject": "math:Grassmannian_(disambiguation)", "predicate": "proves", "object": "in mathematics, a grassmannian may refer to:\n\naffine grassmannian\naffine grassmannian (manifold)\ngra"}
{"subject": "math:Prime_manifold", "predicate": "proves", "object": "in topology, a branch of mathematics, a prime manifold is an n-manifold that cannot be expressed as "}
{"subject": "math:Concentric_objects", "predicate": "proves", "object": "in geometry, two or more objects are said to be concentric when they share the same center. any pair"}
{"subject": "math:Leopoldo_Nachbin", "predicate": "proves", "object": "leopoldo nachbin (7 january 1922 \u2013 3 april 1993) was a jewish-brazilian mathematician who dealt with"}
{"subject": "math:Signature_operator", "predicate": "proves", "object": "in mathematics, the signature operator is an elliptic differential operator defined on a certain sub"}
{"subject": "math:Carolyne_zu_Sayn-Wittgenstein", "predicate": "proves", "object": "princess carolyne zu sayn-wittgenstein (8 february 18199 march 1887) was a polish noblewoman (szlach"}
{"subject": "math:Dragon_Bleu", "predicate": "proves", "object": "dragon bleu is a french brand of vodka.  it is distilled and bottled in the grande champagne area of"}
{"subject": "math:Germanium_disulfide", "predicate": "proves", "object": "germanium disulfide or germanium(iv) sulfide is the inorganic compound with the formula ges2. it is "}
{"subject": "math:Intersection_form_of_a_4-manifold", "predicate": "proves", "object": "in mathematics, the intersection form of an oriented compact 4-manifold is a special symmetric bilin"}
{"subject": "math:Heather_Gordon", "predicate": "proves", "object": "heather gordon (born 1967) is an american contemporary visual artist.\n\ncareer \ngordon creates large-"}
{"subject": "math:1993_Australian_FAI_IndyCar_Grand_Prix", "predicate": "proves", "object": "the 1993 australian fai indycar grand prix was the opening round of the 1993 cart world series seaso"}
{"subject": "math:David_John_Candlin", "predicate": "proves", "object": "david john candlin (1928 in croydon, surrey \u2013 4 december 2019) was an english physicist. he was know"}
{"subject": "math:Topological_pair", "predicate": "proves", "object": "in mathematics, more specifically algebraic topology, a pair  is shorthand for an inclusion of topol"}
{"subject": "math:Breakaway_(1955_film)", "predicate": "proves", "object": "breakaway is a 1955 british thriller film directed by henry cass from a script by norman hudis. it s"}
{"subject": "math:2_31_polytope", "predicate": "proves", "object": "{{displaytitle:2\u200931 polytope}}\n\nin 7-dimensional geometry, 231 is a uniform polytope, constructed fr"}
{"subject": "math:1_22_polytope", "predicate": "proves", "object": "{{displaytitle:1\u200922 polytope}}\n\nin 6-dimensional geometry, the 122 polytope is a uniform polytope, c"}
{"subject": "math:1_32_polytope", "predicate": "proves", "object": "{{displaytitle:1\u200932 polytope}}\n\nin 7-dimensional geometry, 132 is a uniform polytope, constructed fr"}
{"subject": "math:KSEG", "predicate": "proves", "object": "kseg may refer to:\n kseg (fm), a radio station (96.9 fm) licensed to sacramento, california, united "}
{"subject": "math:Pao_Ming_Pu", "predicate": "proves", "object": "pao ming pu (the form of his name he used in western languages, although the wade-giles transliterat"}
{"subject": "math:Order_(mathematics)", "predicate": "proves", "object": "order in mathematics may refer to:\n\nset theory\n total order and partial order, a binary relation gen"}
{"subject": "math:PGF/TikZ", "predicate": "proves", "object": "pgf/tikz is a pair of languages for producing vector graphics (e.g., technical illustrations and dra"}
{"subject": "math:Integration_using_parametric_derivatives", "predicate": "proves", "object": "in calculus, integration by parametric derivatives, also called parametric integration, is a method "}
{"subject": "math:Integration_using_Euler's_formula", "predicate": "proves", "object": "in integral calculus, euler's formula for complex numbers may be used to evaluate integrals involvin"}
{"subject": "math:Forking_lemma", "predicate": "proves", "object": "the forking lemma is any of a number of related lemmas in cryptography research.  the lemma states t"}
{"subject": "math:Leonard\u2013Merritt_mass_estimator", "predicate": "proves", "object": "the leonard\u2013merritt mass estimator is a formula for estimating the mass of a spherical stellar syste"}
{"subject": "math:Girth", "predicate": "proves", "object": "girth may refer to:\n\nmathematics\n girth (functional analysis), the length of the shortest centrally "}
{"subject": "math:Gibbs_lemma", "predicate": "proves", "object": "in game theory and in particular the study of blotto games and operational research, the gibbs lemma"}
{"subject": "math:Andrew_Prendeville", "predicate": "proves", "object": "andrew prendeville (born october 5, 1981) is an american professional automobile racer.\n\nin 2004, pr"}
{"subject": "math:1_42_polytope", "predicate": "proves", "object": "{{displaytitle:142 polytope}}\n\nin 8-dimensional geometry, the 142 is a uniform 8-polytope, construct"}
{"subject": "math:2_41_polytope", "predicate": "proves", "object": "{{displaytitle:2\u200941 polytope}}\n\nin 8-dimensional geometry, the 241 is a uniform 8-polytope, construc"}
{"subject": "math:No-deleting_theorem", "predicate": "proves", "object": "in physics, the no-deleting theorem of quantum information theory is a no-go theorem which states th"}
{"subject": "math:2002_Australian_Formula_3_Championship", "predicate": "proves", "object": "the 2002 australian formula 3 championship was a cams sanctioned national motor racing title for dri"}
{"subject": "math:Cerium(III)_bromide", "predicate": "proves", "object": "cerium(iii) bromide is an inorganic compound with the formula cebr3. this white hygroscopic solid is"}
{"subject": "math:Carmichael's_totient_function_conjecture", "predicate": "proves", "object": "in mathematics, carmichael's totient function conjecture concerns the multiplicity of values of eule"}
{"subject": "math:Circuit_topology_(electrical)", "predicate": "proves", "object": "the circuit topology of an electronic circuit is the form taken by the network of interconnections o"}
{"subject": "math:Steiner_ellipse", "predicate": "proves", "object": "in geometry, the steiner ellipse of a triangle, also called the steiner circumellipse to distinguish"}
{"subject": "math:1995_Buenos_Aires_Grand_Prix", "predicate": "proves", "object": "results from the 1995 buenos aires grand prix held at buenos aires on april 9, 1995, in the aut\u00f3drom"}
{"subject": "math:Julius_Weingarten", "predicate": "proves", "object": "julius weingarten (2 march 1836 \u2013 16 june 1910) was a german mathematician. he received his doctorat"}
{"subject": "math:Schoch_circles", "predicate": "proves", "object": "in geometry, the schoch circles are twelve archimedean circles constructed by thomas schoch.\n\nhistor"}
{"subject": "math:Beltzak", "predicate": "proves", "object": "the beltzak (blacks in basque language) are the police officers that compose the riot unit of the er"}
{"subject": "math:Gedrite", "predicate": "proves", "object": "gedrite is a crystal belonging to the orthorhombic ferromagnesian subgroup of the amphibole supergro"}
{"subject": "math:Davide_Rigon", "predicate": "proves", "object": "davide rigon (born 26 august 1986) is an italian professional racing driver who is currently competi"}
{"subject": "math:WFF_'N_PROOF", "predicate": "proves", "object": "wff 'n proof is a game of modern logic, developed to teach principles of symbolic logic. it was deve"}
{"subject": "math:1977_Australian_Formula_2_Championship", "predicate": "proves", "object": "the 1977 australian formula 2 championship was a cams sanctioned national motor racing title for dri"}
{"subject": "math:List_of_books_about_nuclear_issues", "predicate": "proves", "object": "this is a list of books about nuclear issues. they are non-fiction books which relate to uranium min"}
{"subject": "math:Silylium_ion", "predicate": "proves", "object": "a silylium ion is a reactive silyl-containing cation with the formula . with three rather than the u"}
{"subject": "math:Fred_Phillips_(make-up_artist)", "predicate": "proves", "object": "frederick beauregard phillips (april 26, 1908 \u2013 march 21, 1993), also known as fred philipps, was a "}
{"subject": "math:Phenacyl_bromide", "predicate": "proves", "object": "phenacyl bromide is the organic compound with the formula c6h5c(o)ch2br.  this colourless solid is a"}
{"subject": "math:Mahendranagar,_Dhanusha", "predicate": "proves", "object": "{\n  \"type\": \"featurecollection\",\n  \"features\": [\n    {\n      \"type\": \"feature\",\n      \"properties\": "}
{"subject": "math:Huber_(disambiguation)", "predicate": "proves", "object": "huber is a surname of german origin.\n\nhuber may also refer to:\n\nplaces in the united states\nhuber, g"}
{"subject": "math:Burau_representation", "predicate": "proves", "object": "in mathematics the burau representation is a representation of the braid groups, named after and ori"}
{"subject": "math:Tee_(symbol)", "predicate": "proves", "object": "the tee (\u22a4, \\top in latex), also called down tack (as opposed to the up tack) or verum, is a symbol "}
{"subject": "math:Weingarten_equations", "predicate": "proves", "object": "the weingarten equations give the expansion of the derivative of the unit normal vector to a surface"}
{"subject": "math:The_Prisoner's_Dilemma_(audio_drama)", "predicate": "proves", "object": "the prisoner's dilemma is a big finish productions audiobook based on the long-running british scien"}
{"subject": "math:MVT", "predicate": "proves", "object": "mvt may refer to:\n\nscience and technology\n mechanical vapor transfer, a desalination technology by d"}
{"subject": "math:Maximum-minimums_identity", "predicate": "proves", "object": "in mathematics, the maximum-minimums identity is a relation between the maximum element of a set s o"}
{"subject": "math:Total_curvature", "predicate": "proves", "object": "in mathematical study of the differential geometry of curves, the total curvature of an immersed pla"}
{"subject": "math:Criticism_of_nonstandard_analysis", "predicate": "proves", "object": "nonstandard analysis and its offshoot, nonstandard calculus, have been criticized by several authors"}
{"subject": "math:Ernest_Vinberg", "predicate": "proves", "object": "ernest borisovich vinberg (; 26 july 1937 \u2013 12 may 2020) was a soviet and russian mathematician, who"}
{"subject": "math:Joseph_Jean_Baptiste_Neuberg", "predicate": "proves", "object": "joseph jean baptiste neuberg (30 october 1840 \u2013 22 march 1926) was a luxembourger mathematician who "}
{"subject": "math:Axiom_of_equity", "predicate": "proves", "object": "the axiom of equity was proposed by samuel clarke, an english philosopher, in the spirit of the ethi"}
{"subject": "math:Ollie_Hancock", "predicate": "proves", "object": "oliver hancock (born 25 august 1987) is a british racing driver. hancock is the son of historic raci"}
{"subject": "math:Roger_Wolcott_Richardson", "predicate": "proves", "object": "roger wolcott richardson (30 may 1930 \u2013 15 june 1993) was a mathematician noted for his work in repr"}
{"subject": "math:Strontium_sulfide", "predicate": "proves", "object": "strontium sulfide is the inorganic compound with the formula srs. it is a white solid.  the compound"}
{"subject": "math:List_of_2008_motorsport_champions", "predicate": "proves", "object": "this list of 2008 motorsport champions is a list of national or international auto racing series wit"}
{"subject": "math:Regular_skew_polyhedron", "predicate": "proves", "object": "in geometry, the regular skew polyhedra are generalizations to the set of regular polyhedra which in"}
{"subject": "math:Stallings_theorem_about_ends_of_groups", "predicate": "proves", "object": "in the mathematical subject of group theory, the stallings theorem about ends of groups states that "}
{"subject": "math:Pyridine-N-oxide", "predicate": "proves", "object": "pyridine-n-oxide is the heterocyclic compound with the formula c5h5no.  this colourless, hygroscopic"}
{"subject": "math:Essential_subgroup", "predicate": "proves", "object": "in mathematics, especially in the area of algebra studying the theory of abelian groups, an essentia"}
{"subject": "math:Never_Be_the_Same_Again_(Ghostface_Killah_song)", "predicate": "proves", "object": "\"never be the same again\" is the lead single from the album bulletproof wallets by ghostface killah."}
{"subject": "math:Peter_Dempsey", "predicate": "proves", "object": "peter samuel dempsey (born 31 march 1986) is an irish racing driver from ashbourne, county meath.\n\nd"}
{"subject": "math:2008_Donington_Park_Superleague_Formula_round", "predicate": "proves", "object": "the 2008 donington park superleague formula round was the inaugural round of the superleague formula"}
{"subject": "math:Asymptotology", "predicate": "proves", "object": "asymptotology has been defined as \u201cthe art of dealing with applied mathematical systems in limiting "}
{"subject": "math:Sodium_metaborate", "predicate": "proves", "object": "sodium metaborate is a chemical compound of sodium, boron, and oxygen with formula . however, the me"}
{"subject": "math:E8_polytope", "predicate": "proves", "object": "{{displaytitle:e8 polytope}}\n\nin 8-dimensional geometry, there are 255 uniform polytopes with e8 sym"}
{"subject": "math:Ghost_Showers", "predicate": "proves", "object": "\"ghost showers\" is the second single from the album bulletproof wallets by ghostface killah.\n\nthe so"}
{"subject": "math:Suspicion_(emotion)", "predicate": "proves", "object": "suspicion is a cognition of mistrust in which a person doubts the honesty of another person or belie"}
{"subject": "math:E7_polytope", "predicate": "proves", "object": "{{displaytitle:e7 polytope}}\n\nin 7-dimensional geometry, there are 127 uniform polytopes with e7 sym"}
{"subject": "math:2_21_polytope", "predicate": "proves", "object": "{{displaytitle:2\u200921 polytope}}\n\nin 6-dimensional geometry, the 221 polytope is a uniform 6-polytope,"}
{"subject": "math:3_21_polytope", "predicate": "proves", "object": "{{displaytitle:3\u200921 polytope}}\n\nin 7-dimensional geometry, the 321 polytope is a uniform 7-polytope,"}
{"subject": "math:4_21_polytope", "predicate": "proves", "object": "{{displaytitle:4\u200921 polytope}}\n\nin 8-dimensional geometry, the 421 is a semiregular uniform 8-polyto"}
{"subject": "math:8_Metre", "predicate": "proves", "object": "the international eight metre class are class of racing yachts.  eight metre boats (often called \"ei"}
{"subject": "math:E6_polytope", "predicate": "proves", "object": "{{displaytitle:e6 polytope}}\n\nin 6-dimensional geometry, there are 39 uniform polytopes with e6 symm"}
{"subject": "math:Sun's_curious_identity", "predicate": "proves", "object": "in combinatorics, sun's curious identity is the following identity involving binomial coefficients, "}
{"subject": "math:Brouwer\u2013Hilbert_controversy", "predicate": "proves", "object": "in a controversy over the foundations of mathematics, in twentieth-century mathematics, l. e. j. bro"}
{"subject": "math:Sanford\u2013Wang_parameterisation", "predicate": "proves", "object": "the sanford\u2013wang parameterisation is an empirical formula used to model the production of pions in n"}
{"subject": "math:Hadamard\u2013Rybczynski_equation", "predicate": "proves", "object": "in fluid dynamics, the hadamard\u2013rybczynski equation gives the terminal velocity of slowly moving sph"}
{"subject": "math:Double_tangent_bundle", "predicate": "proves", "object": "in mathematics, particularly differential topology, the double tangent bundle or the second tangent "}
{"subject": "math:Royalties_for_Regions", "predicate": "proves", "object": "royalties for regions is a political policy formulated by the national party in 2008 which involves "}
{"subject": "math:Hexafluoride", "predicate": "proves", "object": "a hexafluoride is a chemical compound with the general formula qxnf6, qxnf6m\u2212, or qxnf6m+.  many mol"}
{"subject": "math:Lloyd's_sign", "predicate": "proves", "object": "lloyd's sign is a sign of renal calculus or pyelonephritis when pain is elicited by deep percussion "}
{"subject": "math:Spark_(mathematics)", "predicate": "proves", "object": "in mathematics, more specifically in linear algebra, the spark of a  matrix  is the smallest integer"}
{"subject": "math:Road_coloring_theorem", "predicate": "proves", "object": "in graph theory the road coloring theorem, known previously as the road coloring conjecture, deals w"}
{"subject": "math:Gripping_sailor's_hitch", "predicate": "proves", "object": "the gripping sailor's hitch is a secure, jam-proof friction hitch used to tie one rope to another, o"}
{"subject": "math:Poloidal\u2013toroidal_decomposition", "predicate": "proves", "object": "in vector calculus, a topic in pure and applied mathematics, a poloidal\u2013toroidal decomposition is a "}
{"subject": "math:Williams_FW09", "predicate": "proves", "object": "the williams fw09 was a formula one car designed by frank dernie and neil oatley. it was the first w"}
{"subject": "math:Metropolitan_Fireproof_Warehouse", "predicate": "proves", "object": "metropolitan fireproof warehouse was an 11-story structure built on the upper west side of manhattan"}
{"subject": "math:Hyperbolic_plane_(disambiguation)", "predicate": "proves", "object": "in mathematics, the term hyperbolic plane may refer to:\n\n a two-dimensional plane in hyperbolic geom"}
{"subject": "math:Variational_integrator", "predicate": "proves", "object": "variational integrators are numerical integrators for hamiltonian systems derived from the euler\u2013lag"}
{"subject": "math:Potassium_hexachloroplatinate", "predicate": "proves", "object": "potassium hexachloroplatinate is the inorganic compound with the formula k2ptcl6. it is a yellow sol"}
{"subject": "math:Triple_system", "predicate": "proves", "object": "in algebra, a triple system (or ternar) is a vector space v over a field f together with a f-triline"}
{"subject": "math:Perovskite", "predicate": "proves", "object": "perovskite (pronunciation: ) is a calcium titanium oxide mineral composed of calcium titanate (chemi"}
{"subject": "math:Askey\u2013Gasper_inequality", "predicate": "proves", "object": "in mathematics, the askey\u2013gasper inequality is an inequality for jacobi polynomials proved by  and u"}
{"subject": "math:Ammann\u2013Beenker_tiling", "predicate": "proves", "object": "in geometry, an ammann\u2013beenker tiling is a nonperiodic tiling which can be generated either by an ap"}
{"subject": "math:Indophenol", "predicate": "proves", "object": "indophenol is an organic compound with the formula oc6h4nc6h4oh.  it is deep blue dye that is the pr"}
{"subject": "math:TX-2_Tape_System", "predicate": "proves", "object": "the tx-2 tape system was a magnetic tape data storage technology from the late 1950s.  it is the dir"}
{"subject": "math:Reproof", "predicate": "proves", "object": "reproof may refer to:\n\n reproof (firearms), a test of a gun after its original proof\n reproof, a for"}
{"subject": "math:Hanna_Neumann_conjecture", "predicate": "proves", "object": "in the mathematical subject of group theory, the hanna neumann conjecture is a statement about the r"}
{"subject": "math:(Cymene)ruthenium_dichloride_dimer", "predicate": "proves", "object": "(cymene)ruthenium dichloride dimer is the organometallic compound with the formula [(cymene)rucl]. t"}
{"subject": "math:Lebedev\u2013Milin_inequality", "predicate": "proves", "object": "in mathematics, the lebedev\u2013milin inequality is any of several inequalities for the coefficients of "}
{"subject": "math:Exterior_angle_theorem", "predicate": "proves", "object": "the exterior angle theorem is proposition 1.16 in euclid's elements, which states that the measure o"}
{"subject": "math:William_Welwod", "predicate": "proves", "object": "william welwod (1578\u20131622) was a scottish jurist who was the first to formulate the laws of the sea "}
{"subject": "math:Idiographic_image", "predicate": "proves", "object": "in the field of clinical human sciences, an idiographic image is the representation of a result whic"}
{"subject": "math:Nikolai_Andreevich_Lebedev", "predicate": "proves", "object": "nikolai andreevich lebedev (; august 8, 1919 \u2013 january 8, 1982) was a soviet mathematician who worke"}
{"subject": "math:Bloch_equations", "predicate": "proves", "object": "in physics and chemistry, specifically in nuclear magnetic resonance (nmr), magnetic resonance imagi"}
{"subject": "math:Gallium_nitrate", "predicate": "proves", "object": "gallium nitrate (brand name ganite) is the gallium salt of nitric acid with the chemical formula ga("}
{"subject": "math:Zlil_Sela", "predicate": "proves", "object": "zlil sela is an israeli mathematician working in the area of geometric group theory.\nhe is a profess"}
{"subject": "math:List_of_Superleague_Formula_drivers_and_teams", "predicate": "proves", "object": "this is a list of superleague formula drivers and teams, that is, a list of all those who have made "}
{"subject": "math:Transformation_semigroup", "predicate": "proves", "object": "in algebra, a transformation semigroup (or composition semigroup) is a collection of transformations"}
{"subject": "math:Architectural_geometry", "predicate": "proves", "object": "architectural geometry is an area of research which combines applied geometry and architecture, whic"}
{"subject": "math:Architecture_of_San_Francisco", "predicate": "proves", "object": "the architecture of san francisco is not so much known for defining a particular architectural style"}
{"subject": "math:Drysdallite", "predicate": "proves", "object": "drysdallite is a rare molybdenum selenium sulfide mineral with formula mo(se,s)2. it crystallizes in"}
{"subject": "math:Abstract_and_Applied_Analysis", "predicate": "proves", "object": "abstract and applied analysis is a peer-reviewed mathematics journal covering the fields of abstract"}
{"subject": "math:Inyoite", "predicate": "proves", "object": "inyoite, named after inyo county, california, where it was discovered in 1914, is a colourless monoc"}
{"subject": "math:Lachmann's_law", "predicate": "proves", "object": "lachmann's law is a somewhat disputed phonological sound law for latin named after german indo-europ"}
{"subject": "math:Sanlu_Group", "predicate": "proves", "object": "sanlu group co., ltd. (sjzsgcz) was a chinese dairy products company based in xinhua district, shiji"}
{"subject": "math:Diethyl_tartrate", "predicate": "proves", "object": "diethyl tartrate is an organic compound with the formula (hochco2et)2 (et = ethyl).  three stereoiso"}
{"subject": "math:William_McCune", "predicate": "proves", "object": "william walker mccune (december 17, 1953 \u2013 may 2, 2011) was an american computer scientist and logic"}
{"subject": "math:Germanium_monoxide", "predicate": "proves", "object": "germanium monoxide (chemical formula geo) is a chemical compound of germanium and oxygen. it can be "}
{"subject": "math:Tammes_problem", "predicate": "proves", "object": "in geometry, the tammes problem is a problem in packing a given number of points on the surface of a"}
{"subject": "math:Five_circles_theorem", "predicate": "proves", "object": "in geometry, the five circles theorem states that, given five circles centered on a common sixth cir"}
{"subject": "math:Six_circles_theorem", "predicate": "proves", "object": "in geometry, the six circles theorem relates to a chain of six circles together with a triangle, suc"}
{"subject": "math:Seven_circles_theorem", "predicate": "proves", "object": "in geometry, the seven circles theorem is a theorem about a certain arrangement of seven circles in "}
{"subject": "math:Miquel's_theorem", "predicate": "proves", "object": "miquel's theorem is a result in geometry, named after auguste miquel, concerning the intersection of"}
{"subject": "math:Clifford's_circle_theorems", "predicate": "proves", "object": "in geometry, clifford's theorems, named after the english geometer william kingdon clifford, are a s"}
{"subject": "math:Zoll_surface", "predicate": "proves", "object": "in mathematics, particularly in differential geometry, a zoll surface, named after otto zoll, is a s"}
{"subject": "math:Zinc_ammonium_chloride", "predicate": "proves", "object": "zinc ammonium chloride is the inorganic compound with the formula (nh4)2zncl4.  it is the ammonium s"}
{"subject": "math:Riemann_hypothesis", "predicate": "proves", "object": "in mathematics, the riemann hypothesis is the conjecture that the riemann zeta function has its zero"}
{"subject": "math:Fannin_County_High_School", "predicate": "proves", "object": "fannin county comprehensive high school is a public high school located in blue ridge, georgia, unit"}
{"subject": "math:Volume_entropy", "predicate": "proves", "object": "the volume entropy is an asymptotic invariant of a compact riemannian manifold that measures the exp"}
{"subject": "math:2009_Formula_Renault_3.5_Series", "predicate": "proves", "object": "the 2009 formula renault 3.5 series was the fifth formula renault 3.5 series season. it began on 18 "}
{"subject": "math:Living_Proof_(Ricky_Van_Shelton_song)", "predicate": "proves", "object": "\"living proof\" is a song written by johnny macrae and steve clark, and recorded by american country "}
{"subject": "math:Tangent_circles", "predicate": "proves", "object": "in geometry, tangent circles (also known as kissing circles) are circles in a common plane that inte"}
{"subject": "math:Isolation_tank", "predicate": "proves", "object": "an isolation tank, sensory deprivation tank, float tank, float pod, float cabin, flotation tank, or "}
{"subject": "math:Formula_3000", "predicate": "proves", "object": "formula 3000 (f3000) was a type of open wheel, single seater formula racing, occupying the tier imme"}
{"subject": "math:Timeline_of_category_theory_and_related_mathematic", "predicate": "proves", "object": "this is a timeline of category theory and related mathematics. its scope (\"related mathematics\") is "}
{"subject": "math:1979_Australian_Drivers'_Championship", "predicate": "proves", "object": "a 1979 australian drivers' championship was a cams sanctioned national motor racing title for driver"}
{"subject": "math:Krull_ring", "predicate": "proves", "object": "in commutative algebra, a krull ring, or krull domain, is a commutative ring with a well behaved the"}
{"subject": "math:2008_Chinese_milk_scandal", "predicate": "proves", "object": "the 2008 chinese milk scandal was a significant food safety incident in china. the scandal involved "}
{"subject": "math:Born\u2013Land\u00e9_equation", "predicate": "proves", "object": "the born\u2013land\u00e9 equation is a means of calculating the lattice energy of a crystalline ionic compound"}
{"subject": "math:Locally_finite_poset", "predicate": "proves", "object": "in mathematics, a locally finite poset is a partially ordered set p such that for all x,\u00a0y\u00a0\u2208\u00a0p, the "}
{"subject": "math:Lions\u2013Lax\u2013Milgram_theorem", "predicate": "proves", "object": "in mathematics, the lions\u2013lax\u2013milgram theorem (or simply lions's theorem) is a result in functional "}
{"subject": "math:Contact_type", "predicate": "proves", "object": "in mathematics, more precisely in symplectic geometry, a hypersurface  of a symplectic manifold  is "}
{"subject": "math:Common_chord", "predicate": "proves", "object": "common chord may refer to:\n\n common chord (geometry), the secant line that joins the intersection po"}
{"subject": "math:Intersecting_chords_theorem", "predicate": "proves", "object": "in euclidean geometry, the intersecting chords theorem, or just the chord theorem, is a statement th"}
{"subject": "math:Intersecting_secants_theorem", "predicate": "proves", "object": "in euclidean geometry, the intersecting secants theorem or just secant theorem describes the relatio"}
{"subject": "math:Geometric_calculus", "predicate": "proves", "object": "in mathematics, geometric calculus extends the geometric algebra to include differentiation and inte"}
{"subject": "math:Calibrated_geometry", "predicate": "proves", "object": "in the mathematical field of differential geometry, a calibrated manifold is a riemannian manifold ("}
{"subject": "math:5_Dilemma_Street", "predicate": "proves", "object": "5 dilemma street (dylematu 5) is a 2007 polish tv series directed by grzegorz warcho\u0142, a spin-off of"}
{"subject": "math:Storm_(software)", "predicate": "proves", "object": "storm is a python programming library for object-relational mapping between one or more sql database"}
{"subject": "math:Riemannian_circle", "predicate": "proves", "object": "in metric space theory and riemannian geometry, the riemannian circle is a great circle with a chara"}
{"subject": "math:Timeline_of_geometry", "predicate": "proves", "object": "the following is a timeline of key developments of geometry:\n\nbefore 1000 bc\n ca. 2000 bc \u2013 scotland"}
{"subject": "math:Timeline_of_calculus_and_mathematical_analysis", "predicate": "proves", "object": "a timeline of calculus and mathematical analysis.\n\n500bc to 1600\n\n 5th century bc - the zeno's parad"}
{"subject": "math:Timeline_of_mathematical_logic", "predicate": "proves", "object": "a timeline of mathematical logic; see also history of logic.\n\n19th century\n\n 1847 \u2013 george boole pro"}
{"subject": "math:Allegations_of_cheating_during_the_1994_Formula_On", "predicate": "proves", "object": "allegations of cheating were made throughout the 1994 formula one world championship. several formul"}
{"subject": "math:Kevin_Lacroix_(racing_driver)", "predicate": "proves", "object": "kevin lacroix (born march 14, 1989) is a canadian racing driver from saint-eustache, quebec. he curr"}
{"subject": "math:Representation_theory", "predicate": "proves", "object": "representation theory is a branch of mathematics that studies abstract algebraic structures by repre"}
{"subject": "math:Zig-zag_lemma", "predicate": "proves", "object": "in mathematics, particularly homological algebra, the zig-zag lemma asserts the existence of a parti"}
{"subject": "math:Pierre_Pansu", "predicate": "proves", "object": "pierre pansu (born 13 july 1959) is a french mathematician and a member of the arthur besse group an"}
{"subject": "math:Propagermanium", "predicate": "proves", "object": "propagermanium (inn), also known by a variety of other names including bis(2-carboxyethylgermanium) "}
{"subject": "math:Universal_variable_formulation", "predicate": "proves", "object": "in orbital mechanics, the universal variable formulation is a method used to solve the two-body kepl"}
{"subject": "math:Millosevichite", "predicate": "proves", "object": "millosevichite is a rare sulfate mineral with the chemical formula al2(so4)3. aluminium is often sub"}
{"subject": "math:Godovikovite", "predicate": "proves", "object": "godovikovite is a rare sulfate mineral with the chemical formula: (nh4)al(so4)2. aluminium can parti"}
{"subject": "math:WAMIT", "predicate": "proves", "object": "wamit is a computer program for computing wave loads and motions of offshore structures in waves. it"}
{"subject": "math:Tarski\u2013Seidenberg_theorem", "predicate": "proves", "object": "in mathematics, the tarski\u2013seidenberg theorem states that a set in (n\u00a0+\u20091)-dimensional space defined"}
{"subject": "math:Relativistic_quantum_mechanics", "predicate": "proves", "object": "in physics, relativistic quantum mechanics (rqm) is any poincar\u00e9 covariant formulation of quantum me"}
{"subject": "math:Germanium_dichloride", "predicate": "proves", "object": "germanium dichloride is a chemical compound of germanium and chlorine with the formula . it is a yel"}
{"subject": "math:Hans_Maass", "predicate": "proves", "object": "hans maass (; june 17, 1911, in hamburg \u2013 april 15, 1992) was a german mathematician who introduced "}
{"subject": "math:1987_Buenos_Aires_Grand_Prix_\u2013_1\u00b0_Festival_Automol", "predicate": "proves", "object": "results from the 1987 buenos aires grand prix held at buenos aires on december 6, 1987, in the aut\u00f3d"}
{"subject": "math:Ronald_M._Foster", "predicate": "proves", "object": "ronald martin foster (3 october 1896 \u2013 2 february 1998), was an american mathematician at bell labs "}
{"subject": "math:James_W._Cannon", "predicate": "proves", "object": "james w. cannon (born january 30, 1943) is an american mathematician working in the areas of low-dim"}
{"subject": "math:1957_Buenos_Aires_Grand_Prix", "predicate": "proves", "object": "the 1957 buenos aires grand prix was a formula libre race held at buenos aires on 27 january 1957, a"}
{"subject": "math:FMCS", "predicate": "proves", "object": "fmcs may refer to:\n framwellgate school durham, formerly known as the framwellgate moor comprehensiv"}
{"subject": "math:Symplectic_representation", "predicate": "proves", "object": "in mathematical field of representation theory, a symplectic representation is a representation of a"}
{"subject": "math:Davidstow_Circuit", "predicate": "proves", "object": "davidstow circuit is a disused motor racing circuit and airfield built in cornwall, in the united ki"}
{"subject": "math:1953_Buenos_Aires_Grand_Prix", "predicate": "proves", "object": "results from the 1953 formula libre buenos aires grand prix, held on february 1, 1953, at the aut\u00f3dr"}
{"subject": "math:Jocko_Cunningham", "predicate": "proves", "object": "joseph oliver \"jocko\" cunningham (born october 30, 1950) is a former racing driver who competed in t"}
{"subject": "math:Steve_Shelton", "predicate": "proves", "object": "steve shelton (born may 16, 1949) is an american former racing driver from fort lauderdale, florida."}
{"subject": "math:Pharmaceutical_engineering", "predicate": "proves", "object": "pharmaceutical engineering is a branch of engineering focused on discovering, formulating, and manuf"}
{"subject": "math:P34", "predicate": "proves", "object": "p34 or p-34 may refer to:\n\nvessels \n , a frigate of the argentine navy\n , a submarine of the royal n"}
{"subject": "math:P48", "predicate": "proves", "object": "p48 or p.48 may refer to:\n\naircraft \n douglas xp-48, a cancelled american fighter aircraft\n partenav"}
{"subject": "math:P67", "predicate": "proves", "object": "p67 may refer to:\n\n brm p67, an experimental formula one car\n intel p67, a computer chipset\n , also "}
{"subject": "math:P83", "predicate": "proves", "object": "p83 may refer to:\n bell xp-83, an american prototype fighter aircraft\n fb p-83 wanad, a pistol\n brm "}
{"subject": "math:P126", "predicate": "proves", "object": "p126 may refer to:\n\n brm p126, a formula one racing car\n papyrus 126, a biblical manuscript\n , a pat"}
{"subject": "math:Hadjicostas's_formula", "predicate": "proves", "object": "in mathematics, hadjicostas's formula is a formula relating a certain double integral to values of t"}
{"subject": "math:Gromov's_inequality", "predicate": "proves", "object": "the following pages deal with inequalities due to mikhail gromov:\n\n bishop\u2013gromov inequality\n gromov"}
{"subject": "math:Yashili", "predicate": "proves", "object": "guangdong yashili group co., ltd. () is a leading privately owned infant formula and soymilk product"}
{"subject": "math:Pinch_point", "predicate": "proves", "object": "pinch point may refer to:\n pinch point (economics), the level of inventories of a commodity or produ"}
{"subject": "math:Pinch_point_(mathematics)", "predicate": "proves", "object": "in geometry, a pinch point or cuspidal point is a type of singular point on an algebraic surface.\n\nt"}
{"subject": "math:KANT_(software)", "predicate": "proves", "object": "kant is a computer algebra system for mathematicians interested in algebraic number theory, performi"}
{"subject": "math:Hurwitz_quaternion_order", "predicate": "proves", "object": "the hurwitz quaternion order is a specific order in a quaternion algebra over a suitable number fiel"}
{"subject": "math:C3H3N3O3", "predicate": "proves", "object": "{{displaytitle:c3h3n3o3}}\nthe molecular formula c3h3n3o3 (molar mass: 129.08 g/mol, exact mass: 129."}
{"subject": "math:Strominger's_equations", "predicate": "proves", "object": "in heterotic string theory, the strominger's equations are the set of equations that are necessary a"}
{"subject": "math:Statistical_proof", "predicate": "proves", "object": "statistical proof is the rational demonstration of degree of certainty for a proposition, hypothesis"}
{"subject": "math:S-Nitrosothiol", "predicate": "proves", "object": "in organic chemistry, s-nitrosothiols, also known as thionitrites, are organic compounds or function"}
{"subject": "math:Reciprocation", "predicate": "proves", "object": "reciprocation may refer to:\n\n reciprocating motion, a type of oscillatory motion, as in the action o"}
{"subject": "math:Lie_sphere", "predicate": "proves", "object": "lie sphere may refer to:\n\n lie-sphere, the fourth type of classical bounded symmetric domain\n lie sp"}
{"subject": "math:Pole_and_polar", "predicate": "proves", "object": "in geometry, a  pole and polar are respectively a point and a line that have a unique reciprocal rel"}
{"subject": "math:De_Moivre\u2013Laplace_theorem", "predicate": "proves", "object": "in probability theory, the de moivre\u2013laplace theorem, which is a special case of the central limit t"}
{"subject": "math:Mathematical_object", "predicate": "proves", "object": "a mathematical object is an abstract concept arising in mathematics.\nin the usual language of mathem"}
{"subject": "math:Hermitian_connection", "predicate": "proves", "object": "in mathematics, a hermitian connection  is a connection on a hermitian vector bundle  over a smooth "}
{"subject": "math:Bismut_connection", "predicate": "proves", "object": "in mathematics, the bismut connection  is the unique connection on a complex hermitian manifold that"}
{"subject": "math:Jackie_Craven", "predicate": "proves", "object": "jackie craven is an american poet and author with a broad background in arts and the humanities.\n\nca"}
{"subject": "math:Rosser's_trick", "predicate": "proves", "object": "in mathematical logic, rosser's trick is a method for proving a variant of g\u00f6del's incompleteness th"}
{"subject": "math:Joseph_the_Carpenter", "predicate": "proves", "object": "joseph the carpenter is an oil painting by georges de la tour created circa 1642. the painting depic"}
{"subject": "math:Pargasite", "predicate": "proves", "object": "pargasite is a complex inosilicate mineral of the amphibole group with formula naca2(mg4al)(si6al2)o"}
{"subject": "math:Poisson_limit_theorem", "predicate": "proves", "object": "in probability theory, the law of rare events or poisson limit theorem states that the poisson distr"}
{"subject": "math:Fundamental_theorem_of_calculus", "predicate": "proves", "object": "the fundamental theorem of calculus is a theorem that links the concept of differentiating a functio"}
{"subject": "math:1992_Buenos_Aires_Grand_Prix_\u2013_World_Cup_Formula_3", "predicate": "proves", "object": "the 1992 buenos aires grand prix was a motor race held at buenos aires on december 13, 1992, in the "}
{"subject": "math:Peter_Giblin", "predicate": "proves", "object": "peter john giblin (10 july 1943) is an english mathematician whose primary research involves singula"}
{"subject": "math:Ob(Servant)", "predicate": "proves", "object": "ob(servant) is the fourth studio album by australian technical death metal band psycroptic. it was r"}
{"subject": "math:Law_of_cosines", "predicate": "proves", "object": "in trigonometry, the law of cosines (also known as the cosine formula or cosine rule) relates the le"}
{"subject": "math:2009_GP2_Series", "predicate": "proves", "object": "the 2009 gp2 series season was the forty-third season of the second-tier of formula one feeder champ"}
{"subject": "math:2009_Abu_Dhabi_Grand_Prix", "predicate": "proves", "object": "the 2009 abu dhabi grand prix (officially the 2009 formula 1 etihad airways abu dhabi grand prix) wa"}
{"subject": "math:Tangent_lines_to_circles", "predicate": "proves", "object": "in euclidean plane geometry, a tangent line to a circle is a line that touches the circle at exactly"}
{"subject": "math:Tert-Butyl_hydroperoxide", "predicate": "proves", "object": "tert-butyl hydroperoxide (tbuooh) is the organic compound with the formula (ch3)3cooh. it is one of "}
{"subject": "math:Frank_Horwill", "predicate": "proves", "object": "frank j. horwill  (19 june 1927 \u2013 1 january 2012) was a uk athletics senior level 4 coach most famou"}
{"subject": "math:1961_Aintree_200", "predicate": "proves", "object": "the 6th aintree 200 was a formula one motor race held on 22 april 1961 at aintree circuit, merseysid"}
{"subject": "math:Jeu-parti", "predicate": "proves", "object": "the jeu-parti (plural jeux-partis, also known as parture) is a genre of french lyric poetry composed"}
{"subject": "math:Higher-dimensional_algebra", "predicate": "proves", "object": "in mathematics, especially (higher) category theory, higher-dimensional algebra is the study of cate"}
{"subject": "math:Bailey_pair", "predicate": "proves", "object": "in mathematics, a bailey pair is a pair of sequences satisfying certain relations, and a bailey chai"}
{"subject": "math:Constitution_of_Missouri", "predicate": "proves", "object": "the missouri constitution is the state constitution of the u.s. state of missouri. it is the supreme"}
{"subject": "math:BL_8-inch_Mk_I_\u2013_VII_naval_gun", "predicate": "proves", "object": "the bl 8\u00a0inch guns mark i to  mark vii were the first generations of british rifled breechloaders of"}
{"subject": "math:Kummer's_conjecture", "predicate": "proves", "object": "in mathematics, kummer's conjecture is either of two the conjectures made by ernst eduard kummer:\n \n"}
{"subject": "math:Algebra_tile", "predicate": "proves", "object": "algebra tiles are mathematical manipulatives that allow students to better understand ways of algebr"}
{"subject": "math:Klaus_Samelson", "predicate": "proves", "object": "klaus samelson (21 december 1918 \u2013 25 may 1980) was a german mathematician, physicist, and computer "}
{"subject": "math:Timeline_of_mathematics", "predicate": "proves", "object": "this is a timeline of pure and applied mathematics history. it is divided here into three stages, co"}
{"subject": "math:Lonely_runner_conjecture", "predicate": "proves", "object": "in number theory, specifically the study of diophantine approximation, the lonely runner conjecture "}
{"subject": "math:Bogacki\u2013Shampine_method", "predicate": "proves", "object": "the bogacki\u2013shampine method is a method for the numerical solution of ordinary differential equation"}
{"subject": "math:Metam_sodium", "predicate": "proves", "object": "metam sodium is an organosulfur compound with the formula .  the compound is a sodium salt of a dith"}
{"subject": "math:Bartlett's_bisection_theorem", "predicate": "proves", "object": "bartlett's bisection theorem is an electrical theorem in network analysis attributed to albert charl"}
{"subject": "math:Wilfrid_Norman_Bailey", "predicate": "proves", "object": "wilfrid norman bailey (born 5 september 1893 consett, durham; died 23 october 1961, eastbourne) was "}
{"subject": "math:Acyclic_model", "predicate": "proves", "object": "in algebraic topology, a discipline within mathematics, the acyclic models theorem can be used to sh"}
{"subject": "math:Decagram_(geometry)", "predicate": "proves", "object": "in geometry, a decagram is a 10-point star polygon. there is one regular decagram, containing the ve"}
{"subject": "math:1_52_honeycomb", "predicate": "proves", "object": "{{displaytitle:1\u200952 honeycomb}}\n\nin geometry, the 152 honeycomb is a uniform tessellation of 8-dimen"}
{"subject": "math:2_51_honeycomb", "predicate": "proves", "object": "{{displaytitle:2\u200951 honeycomb}}\n\nin 8-dimensional geometry, the 251 honeycomb is a space-filling uni"}
{"subject": "math:1,3-Propane_sultone", "predicate": "proves", "object": "1,3-propane sultone is the organosulfur compound with the formula (ch2)3so3.  it is a cyclic sulfona"}
{"subject": "math:Oseen_equations", "predicate": "proves", "object": "in fluid dynamics, the oseen equations (or oseen flow) describe the flow of a viscous and incompress"}
{"subject": "math:Iridium_tetrafluoride", "predicate": "proves", "object": "iridium(iv) fluoride is a chemical compound of iridium and fluorine, with the chemical formula irf4 "}
{"subject": "math:Vertex_enumeration_problem", "predicate": "proves", "object": "in mathematics, the vertex enumeration problem for a polytope, a polyhedral cell complex, a hyperpla"}
{"subject": "math:One-seventh_area_triangle", "predicate": "proves", "object": "in plane geometry, a triangle abc contains a triangle having one-seventh of the area of abc, which i"}
{"subject": "math:Weakly_symmetric_space", "predicate": "proves", "object": "in mathematics, a weakly symmetric space is a notion introduced by the norwegian mathematician atle "}
{"subject": "math:Special_linear_Lie_algebra", "predicate": "proves", "object": "in mathematics, the special linear lie algebra of order n (denoted  or ) is the lie algebra of  matr"}
{"subject": "math:Clausen's_formula", "predicate": "proves", "object": "in mathematics, clausen's formula, found by , expresses the square of a gaussian hypergeometric seri"}
{"subject": "math:1962_Aintree_200", "predicate": "proves", "object": "the 7th aintree 200 was a formula one motor race held on 28 april 1962 at aintree circuit, merseysid"}
{"subject": "math:2_22_honeycomb", "predicate": "proves", "object": "{{displaytitle:2\u200922 honeycomb}}\n\nin geometry, the 222 honeycomb is a uniform tessellation of the six"}
{"subject": "math:Donald_Geman", "predicate": "proves", "object": "donald jay geman (born september 20, 1943) is an american applied mathematician and a leading resear"}
{"subject": "math:Sayre's_law", "predicate": "proves", "object": "sayre's law states, in a formulation quoted by charles philip issawi: \"in any dispute the intensity "}
{"subject": "math:3_31_honeycomb", "predicate": "proves", "object": "{{displaytitle:3 31 honeycomb}}\n\nin 7-dimensional geometry, the 331 honeycomb is a uniform honeycomb"}
{"subject": "math:1_33_honeycomb", "predicate": "proves", "object": "{{displaytitle:1\u200933 honeycomb}}\n\nin 7-dimensional geometry, 133 is a uniform honeycomb, also given b"}
{"subject": "math:Hobby\u2013Rice_theorem", "predicate": "proves", "object": "in mathematics, and in particular the necklace splitting problem, the hobby\u2013rice theorem is a result"}
{"subject": "math:Motherhood_(2009_film)", "predicate": "proves", "object": "motherhood is a 2009 american comedy-drama film written and directed by katherine dieckmann and star"}
{"subject": "math:List_of_Formula_One_seasons", "predicate": "proves", "object": "a total of 74 world championship seasons of formula one (f1) have been run. f1 is the highest form o"}
{"subject": "math:2008_N\u00fcrburgring_Superleague_Formula_round", "predicate": "proves", "object": "the 2008 n\u00fcrburgring superleague formula round was the second round of the inaugural superleague for"}
{"subject": "math:Fernet-Branca", "predicate": "proves", "object": "fernet-branca () is an italian brand of fernet, a style of amaro or bitters. it was formulated in mi"}
{"subject": "math:Beno_Eckmann", "predicate": "proves", "object": "beno eckmann (31 march 1917 \u2013 25 november 2008) was a swiss mathematician who made contributions to "}
{"subject": "math:M\u00f6bius_configuration", "predicate": "proves", "object": "in geometry, the m\u00f6bius configuration or m\u00f6bius tetrads is a certain configuration in euclidean spac"}
{"subject": "math:Abstract_algebra", "predicate": "proves", "object": "in mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebr"}
{"subject": "math:K-Poincar\u00e9_group", "predicate": "proves", "object": "in physics and mathematics, the \u03ba-poincar\u00e9 group, named after henri poincar\u00e9, is a quantum group, ob"}
{"subject": "math:Siso_Cunill", "predicate": "proves", "object": "josep lluis cunill gomez (born october 20, 1990, in mountain view, california) is an anglo-spanish p"}
{"subject": "math:Copper_salicylate", "predicate": "proves", "object": "copper salicylate is a compound with formula cu(c7h5o3). it is the copper salt of salicylic acid.\n\na"}
{"subject": "math:Sodium_pyrosulfate", "predicate": "proves", "object": "sodium pyrosulfate is an inorganic compound with the chemical formula of na2s2o7. it is a colorless "}
{"subject": "math:Mikhail_Postnikov", "predicate": "proves", "object": "mikhail mikhailovich postnikov (; 27 october 1927 \u2013 27 may 2004) was a soviet mathematician, known f"}
{"subject": "math:F\u00e1bio_Beretta", "predicate": "proves", "object": "f\u00e1bio beretta rossi, jr. (born april 18, 1986 in s\u00e3o paulo) is a racing driver from brazil.\n\nberetta"}
{"subject": "math:David_Coulthard", "predicate": "proves", "object": "david marshall coulthard  (born 27 march 1971) is a british former racing driver from scotland, late"}
{"subject": "math:Winter_Haven_Area_Transit", "predicate": "proves", "object": "winter haven area transit is a bus system based in winter haven, florida.  the system operates 9 of "}
{"subject": "math:Palierne_equation", "predicate": "proves", "object": "palierne equation connects the dynamic modulus of emulsions with the dynamic modulus of the two phas"}
{"subject": "math:List_of_World_Championships_medalists_in_sailing_(", "predicate": "proves", "object": "this is a list of world championships medalists in sailing in multihull classes.\n\na-catamaran\n\ndart "}
{"subject": "math:Tetrabromoethane", "predicate": "proves", "object": "tetrabromoethane (tbe) is a halogenated hydrocarbon, chemical formula c2h2br4. although three bromin"}
{"subject": "math:Westhoughton_High_School", "predicate": "proves", "object": "westhoughton high school (whs) is an 11\u201316 mixed, community secondary school in westhoughton, greate"}
{"subject": "math:1978_Australian_Grand_Prix", "predicate": "proves", "object": "the 1978 australian grand prix was a motor race open to cars complying with australian formula 1, (c"}
{"subject": "math:1972_Australian_Grand_Prix", "predicate": "proves", "object": "the 1972 australian grand prix was a motor race for cars complying with the tasman formula, which ad"}
{"subject": "math:Dibutyltin_oxide", "predicate": "proves", "object": "dibutyltin oxide, or dibutyloxotin, is an organotin compound with the chemical formula (c4h9)2sno.  "}
{"subject": "math:Hexagonal_pyramid", "predicate": "proves", "object": "in geometry, a hexagonal pyramid or hexacone is a  pyramid with a hexagonal base upon which are erec"}
{"subject": "math:Loving_Proof_(album)", "predicate": "proves", "object": "loving proof is the second studio album by american country music artist ricky van shelton. the sing"}
{"subject": "math:Lee\u2013Yang_theorem", "predicate": "proves", "object": "in statistical mechanics, the lee\u2013yang theorem states that if partition functions of certain  models"}
{"subject": "math:Convection\u2013diffusion_equation", "predicate": "proves", "object": "the convection\u2013diffusion equation is a combination of the diffusion and convection (advection) equat"}
{"subject": "math:Henry_O._Pollak", "predicate": "proves", "object": "henry otto pollak (born december 13, 1927) is an austrian-american mathematician. he is known for hi"}
{"subject": "math:Robert_Osserman", "predicate": "proves", "object": "robert \"bob\" osserman (december 19, 1926 \u2013 november 30, 2011) was an american mathematician who work"}
{"subject": "math:Systole_(disambiguation)", "predicate": "proves", "object": "systole  may refer to:\n\nsystole (medicine), a term describing the contraction of the heart\nsystolic "}
{"subject": "math:Titan_yellow", "predicate": "proves", "object": "titan yellow is a compound with formula c28h19n5na2o6s4. it is a triazene dye used as a stain and fl"}
{"subject": "math:Set_operation", "predicate": "proves", "object": "set operation may have one of the following meanings.\n\n any operation with sets\n set operation (bool"}
{"subject": "math:2008\u201309_Superliga_Feminina_Brasileira_de_Voleibol_", "predicate": "proves", "object": "the 2008\u201309 superliga feminina brasileira de voleibol season was the 15th edition of the championshi"}
{"subject": "math:Lie_product_formula", "predicate": "proves", "object": "in mathematics, the lie product formula, named for sophus lie (1875), but also widely called the tro"}
{"subject": "math:Meyer's_law", "predicate": "proves", "object": "meyer's law is an empirical relation between the size of a hardness test indentation and the load re"}
{"subject": "math:Solvent_casting_and_particulate_leaching", "predicate": "proves", "object": "in solvent casting and particulate leaching (scpl), a polymer is dissolved in an organic solvent. pa"}
{"subject": "math:1967_Australian_Grand_Prix", "predicate": "proves", "object": "the 1967 australian grand prix was a motor race held over 45 laps of the 3.621\u00a0km (2.25\u00a0mi) warwick "}
{"subject": "math:1965_Australian_Grand_Prix", "predicate": "proves", "object": "the 1965 australian grand prix was a motor race held at the longford circuit in tasmania, australia "}
{"subject": "math:Goldschl\u00e4ger", "predicate": "proves", "object": "goldschl\u00e4ger is a swiss cinnamon schnapps (43.5% alcohol by volume or 87 proof; originally it was 53"}
{"subject": "math:1966_Australian_Grand_Prix", "predicate": "proves", "object": "the 1966 australian grand prix was a motor race staged on 20 february 1966 at the lakeside circuit i"}
{"subject": "math:Israel_Gohberg", "predicate": "proves", "object": "israel gohberg (; ; 23 august 1928 \u2013 12 october 2009) was a bessarabian-born soviet and israeli math"}
{"subject": "math:1968_Australian_Grand_Prix", "predicate": "proves", "object": "the 1968 australian grand prix was a motor race held at sandown park in victoria, australia on 25 fe"}
{"subject": "math:1969_Australian_Grand_Prix", "predicate": "proves", "object": "the 1969 australian grand prix was a motor race held at lakeside in queensland, australia on 2 febru"}
{"subject": "math:1974_Oran_Park_100", "predicate": "proves", "object": "the 1974 oran park 100, one of three races marketed as the peter stuyvesant $100,000 was the fifth r"}
{"subject": "math:1973_Sandown_Park_Cup", "predicate": "proves", "object": "the 1973 sandown park cup was the seventh round of the 1973 tasman series. it was a formula 5000 rac"}
{"subject": "math:Polyhedral_combinatorics", "predicate": "proves", "object": "polyhedral combinatorics is a branch of mathematics, within combinatorics and discrete geometry, tha"}
{"subject": "math:Axis-aligned_object", "predicate": "proves", "object": "in geometry, an axis-aligned object (axis-parallel, axis-oriented) is an object in n-dimensional spa"}
{"subject": "math:Tree_network", "predicate": "proves", "object": "a tree topology, or star-bus topology, is a hybrid network topology in which star networks are inter"}
{"subject": "math:Hypertree_network", "predicate": "proves", "object": "a hypertree network is a network topology that shares some traits with the binary tree network. it i"}
{"subject": "math:Potassium_bifluoride", "predicate": "proves", "object": "potassium bifluoride is the inorganic compound with the formula . this colourless salt consists of t"}
{"subject": "math:2008_Zolder_Superleague_Formula_round", "predicate": "proves", "object": "the 2008 zolder superleague formula round was the third round of the inaugural superleague formula c"}
{"subject": "math:Dragoslav_Mitrinovi\u0107", "predicate": "proves", "object": "dragoslav s. mitrinovi\u0107 (serbian cyrillic: \u0434\u0440\u0430\u0433\u043e\u0441\u043b\u0430\u0432 \u043c\u0438\u0442\u0440\u0438\u043d\u043e\u0432\u0438\u045b; 23 june 1908 \u2013 2 april 1995) was a "}
{"subject": "math:Hypertree_(disambiguation)", "predicate": "proves", "object": "hypertree may refer to one of the following:\n\nhypertree, a special kind of hypergraph, e.g., a hyper"}
{"subject": "math:Hp-FEM", "predicate": "proves", "object": "hp-fem is a generalization of the finite element method (fem) for solving partial differential equat"}
{"subject": "math:McLaren_MP4-16", "predicate": "proves", "object": "the mclaren mp4-16 was the car with which the mclaren team competed in the 2001 formula one world ch"}
{"subject": "math:External", "predicate": "proves", "object": "external may refer to:\n\n external (mathematics), a concept in abstract algebra\n externality, in econ"}
{"subject": "math:Pumplinx", "predicate": "proves", "object": "pumplinx is a 3-d computational fluid dynamics (cfd) software developed for the analysis of fluid pu"}
{"subject": "math:TPTP", "predicate": "proves", "object": "tptp is an abbreviation and may refer to\n\n thousands of problems for theorem provers\n test & perform"}
{"subject": "math:XYZ_file_format", "predicate": "proves", "object": "the xyz file format is a chemical file format. there is no formal standard and several variations ex"}
{"subject": "math:Faster_(George_Harrison_song)", "predicate": "proves", "object": "\"faster\" is a song by english rock musician george harrison from his self-titled 1979 studio album. "}
{"subject": "math:Alcian_yellow", "predicate": "proves", "object": "alcian yellow is an azo dye with the formula (ch3[(ch3n)2cs]2c6h2sncc6h4)2n2. its structure consists"}
{"subject": "math:Joseph_Edward_Mayer", "predicate": "proves", "object": "joseph edward mayer (february 5, 1904, new york city \u2013 october 15, 1983) was a chemist who formulate"}
{"subject": "math:Semidiameter", "predicate": "proves", "object": "in geometry, the semidiameter or semi-diameter of a set of points may be one half of its  diameter; "}
{"subject": "math:Resolution_(algebra)", "predicate": "proves", "object": "in mathematics, and more specifically in homological algebra, a resolution (or left resolution; dual"}
{"subject": "math:Interval_boundary_element_method", "predicate": "proves", "object": "interval boundary element method is classical boundary element method with the interval parameters.\n"}
{"subject": "math:Vertical_damp_proof_barrier", "predicate": "proves", "object": "the purpose of a vertical damp proof barrier is to prevent the ingress of damp and water into subter"}
{"subject": "math:Honda_Racing", "predicate": "proves", "object": "honda racing can refer to one of the following:\n\nhonda racing corporation, honda's motorcycle racing"}
{"subject": "math:Diane_Souvaine", "predicate": "proves", "object": "diane l. souvaine is a professor of computer science and an adjunct professor of mathematics at tuft"}
{"subject": "math:Jaime_Alguersuari", "predicate": "proves", "object": "jaime v\u00edctor alguersuari escudero (; born 23 march 1990), also known as jaume alguersuari (), and sq"}
{"subject": "math:Trans-spanning_ligand", "predicate": "proves", "object": "trans-spanning ligands are bidentate ligands that can span opposite sites of a complex with square-p"}
{"subject": "math:1973_Australian_Grand_Prix", "predicate": "proves", "object": "the 1973 australian grand prix was a race for australian formula 1 and australian formula 2 racing c"}
{"subject": "math:1974_Australian_Grand_Prix", "predicate": "proves", "object": "the 1974 australian grand prix was a motor race held at oran park raceway in new south wales, austra"}
{"subject": "math:Banach\u2013Tarski_paradox", "predicate": "proves", "object": "the banach\u2013tarski paradox is a theorem in set-theoretic geometry, which states the following: given "}
{"subject": "math:Acid_orange_5", "predicate": "proves", "object": "acid orange 5 is a compound with formula na(c6h5nhc6h4n=nc6h4so3). it is an azo dye.\nit is also used"}
{"subject": "math:2005_Formula_Renault_seasons", "predicate": "proves", "object": "this page describes all the 2005 seasons of formula renault series.\n\nformula renault 3.5l\n\nformula r"}
{"subject": "math:FCJ", "predicate": "proves", "object": "fcj may refer to:\n\n fcj, a musical artist\n faithful companions of jesus\n fc jyv\u00e4skyl\u00e4 blackbird, a f"}
{"subject": "math:Steinitz's_theorem", "predicate": "proves", "object": "in polyhedral combinatorics, a branch of mathematics, steinitz's theorem is a characterization of th"}
{"subject": "math:Victoria_blue_R", "predicate": "proves", "object": "victoria blue r is a dye with formula  c29h32n3cl. it has a blue colour that changes to yellow at lo"}
{"subject": "math:Jordan_Ellenberg", "predicate": "proves", "object": "jordan stuart ellenberg (born october 30, 1971) is an american mathematician who is a professor of m"}
{"subject": "math:Splitting_lemma_(functions)", "predicate": "proves", "object": "in mathematics, especially in singularity theory, the splitting lemma is a useful result due to ren\u00e9"}
{"subject": "math:Performic_acid", "predicate": "proves", "object": "performic acid (pfa) is an organic compound with the formula ch2o3. it is an unstable colorless liqu"}
{"subject": "math:3-Chloropropanoic_acid", "predicate": "proves", "object": "3-chloropropanoic acid (also 3-chloropropionic acid) is the organic compound with the formula clch2c"}
{"subject": "math:Institutiones_calculi_differentialis", "predicate": "proves", "object": "institutiones calculi differentialis (foundations of differential calculus) is a mathematical work w"}
{"subject": "math:Osipkov\u2013Merritt_model", "predicate": "proves", "object": "osipkov\u2013merritt models (named for leonid osipkov and david merritt) are mathematical representations"}
{"subject": "math:Appell_series", "predicate": "proves", "object": "in mathematics, appell series are a set of four hypergeometric series f1, f2, f3, f4 of two variable"}
{"subject": "math:1989_Australian_Production_Car_Championship", "predicate": "proves", "object": "the 1989 australian production car championship was a cams sanctioned national motor racing title fo"}
{"subject": "math:List_of_Dalits", "predicate": "proves", "object": "following is a list of notable dalit people organised by profession, field, or focus.\n\nacademics \nb."}
{"subject": "math:Yuhi_Sekiguchi", "predicate": "proves", "object": "is a japanese racing driver. he currently competes in the gt500 class of the super gt series for tgr"}
{"subject": "math:Lionel_Cooper_(mathematician)", "predicate": "proves", "object": "jacob lionel bakst cooper (27 december 1915 \u2013 8 august 1979) was a south african mathematician who w"}
{"subject": "math:I_Worked_on_the_Ships", "predicate": "proves", "object": "i worked on the ships is the fourth studio album by scottish group ballboy, released in the uk on 25"}
{"subject": "math:Dubon", "predicate": "proves", "object": "dubon or dub\u00f3n may refer to:\n\ndubon coat, israel defense forces windproof military winter coat\nestad"}
{"subject": "math:Toral_subalgebra", "predicate": "proves", "object": "in mathematics, a toral subalgebra is a lie subalgebra of a general linear lie algebra all of whose "}
{"subject": "math:N,N'-Methylenebisacrylamide", "predicate": "proves", "object": "{{displaytitle:n,n'-methylenebisacrylamide}}\n\nn,n\u2032-methylenebisacrylamide (mbam or mbaa, colloquiall"}
{"subject": "math:Integral_expression", "predicate": "proves", "object": "integral expression may refer to:\n\n integral equation\n more generally, a mathematical expression inv"}
{"subject": "math:Sergio_P\u00e9rez", "predicate": "proves", "object": "sergio michel \"checo\" p\u00e9rez mendoza (; born 26 january 1990) is a mexican racing driver who races in"}
{"subject": "math:3-MCPD", "predicate": "proves", "object": "3-mcpd (3-monochloropropane-1,2-diol or 3-chloropropane-1,2-diol) is an organic chemical compound wi"}
{"subject": "math:Sodium_diacetate", "predicate": "proves", "object": "sodium diacetate is a compound with formula . it is a salt of acetic acid.  it is a colorless solid "}
{"subject": "math:Australian_1\u00bd_Litre_Formula", "predicate": "proves", "object": "the australian 1\u00bd litre formula was a motor racing category which was current in australia from 1964"}
{"subject": "math:Convergence_(routing)", "predicate": "proves", "object": "convergence is the state of a set of routers that have the same topological information about the in"}
{"subject": "math:Polar_action", "predicate": "proves", "object": "in mathematics, a polar action is a proper and isometric action of a lie group g on a complete riema"}
{"subject": "math:Red_Bull_Drifting_World_Championship", "predicate": "proves", "object": "the red bull drifting world championship is a non-championship all-star drifting contest sponsored b"}
{"subject": "math:Dougall's_formula", "predicate": "proves", "object": "dougall's formula may refer to one of two formulas for hypergeometric series, both named after john "}
{"subject": "math:Paul_Meijer", "predicate": "proves", "object": "paul ronald johan meijer (born 27 march 1985 in utrecht) is a dutch racing driver. he is a former be"}
{"subject": "math:Trimethylsilyl_trifluoromethanesulfonate", "predicate": "proves", "object": "trimethylsilyl trifluoromethanesulfonate (tmsotf) is an organosilicon compound with the formula . it"}
{"subject": "math:Francesco_Tricomi", "predicate": "proves", "object": "francesco giacomo tricomi (5 may 1897 \u2013 21 november 1978) was an italian mathematician famous for hi"}
{"subject": "math:1,1,3,3-Tetramethylguanidine", "predicate": "proves", "object": "tetramethylguanidine is an organic compound with the formula hnc(n(ch)).  this colourless liquid is "}
{"subject": "math:N-Chlorosuccinimide", "predicate": "proves", "object": "n-chlorosuccinimide (\"ncs\")is the organic compound with the formula c2h4(co)2ncl.  a white solid, it"}
{"subject": "math:Antoine_equation", "predicate": "proves", "object": "the antoine equation is a class of semi-empirical correlations describing the relation between vapor"}
{"subject": "math:Masuyite", "predicate": "proves", "object": "masuyite is a uranium/lead oxide mineral with formula pb[(uo2)3o3(oh)2]\u00b73h2o.\n\nmasuyite was first de"}
{"subject": "math:Gabbay's_separation_theorem", "predicate": "proves", "object": "in mathematical logic and computer science, gabbay's separation theorem, named after dov gabbay, sta"}
{"subject": "math:Giampiero_Simoni", "predicate": "proves", "object": "giampiero simoni (born 12 september 1969 in porto san giorgio) is an italian former racing driver wh"}
{"subject": "math:Poop_(picture_book)", "predicate": "proves", "object": "poop: a natural history of the unmentionable is a children's book about (animal) feces, written by n"}
{"subject": "math:V_Sport_Motor", "predicate": "proves", "object": "v sport motor is a swedish motorsport channel that launched on 17 october 2008.\n\nevents broadcast on"}
{"subject": "math:Scuderia_Milano", "predicate": "proves", "object": "scuderia milano was an italian formula one motor racing team founded in milan by arialdo and emilio "}
{"subject": "math:Valtteri_Bottas", "predicate": "proves", "object": "valtteri viktor bottas (; born 28 august 1989) is a finnish racing driver currently competing in for"}
{"subject": "math:Toponogov's_theorem", "predicate": "proves", "object": "in the mathematical field of riemannian geometry, toponogov's theorem (named after victor andreevich"}
{"subject": "math:Bobby_Verdon-Roe", "predicate": "proves", "object": "robert geoffrey verdon-roe (born 21 november 1965 in winchester, hampshire) is a british racing driv"}
{"subject": "math:Bis(trimethylsilyl)acetamide", "predicate": "proves", "object": "bis(trimethylsilyl)acetamide (bsa) is an organosilicon compound with the formula  (me = ch3).  it is"}
{"subject": "math:N-Methylmorpholine", "predicate": "proves", "object": "n-methylmorpholine is the organic compound with the formula o(ch2ch2)2nch3.  it is a colorless liqui"}
{"subject": "math:Shape_waves", "predicate": "proves", "object": "shape waves are excitations propagating along josephson vortices or fluxons. in the case of two-dime"}
{"subject": "math:Computational_thinking", "predicate": "proves", "object": "computational thinking (ct) refers to the thought processes involved in formulating problems so thei"}
{"subject": "math:Redlich\u2013Kwong_equation_of_state", "predicate": "proves", "object": "in physics and thermodynamics, the redlich\u2013kwong equation of state is an empirical, algebraic equati"}
{"subject": "math:Pop_music_automation", "predicate": "proves", "object": "pop music automation is a field of study among musicians and computer scientists with a goal of prod"}
{"subject": "math:Manipulability_ellipsoid", "predicate": "proves", "object": "in robotics, the manipulability ellipsoid is the geometric interpretation of the scaled eigenvectors"}
{"subject": "math:Kerala_State_Planning_Board", "predicate": "proves", "object": "the kerala state planning board is an advisory board under the government of the state of kerala, in"}
{"subject": "math:Cosmic_space", "predicate": "proves", "object": "in mathematics, particularly topology, a cosmic space is any topological space that is a continuous "}
{"subject": "math:Red_Bull_Racing_(disambiguation)", "predicate": "proves", "object": "red bull racing (rbr) is a formula one team owned by austrian beverage company red bull, based in en"}
{"subject": "math:1973_Singapore_Grand_Prix", "predicate": "proves", "object": "the 1973 singapore grand prix was a motor race held at the thomson road grand prix circuit on 22 apr"}
{"subject": "math:Dixon's_identity", "predicate": "proves", "object": "in mathematics, dixon's identity (or dixon's theorem or dixon's formula) is any of several different"}
{"subject": "math:Dual_polygon", "predicate": "proves", "object": "in geometry, polygons are associated into pairs called duals, where the vertices of one correspond t"}
{"subject": "math:The_Layover_EP", "predicate": "proves", "object": "the layover ep is the first solo extended play by american rapper and record producer evidence. it w"}
{"subject": "math:Scuderia_Ambrosiana", "predicate": "proves", "object": "scuderia ambrosiana was an italian motor racing team that competed in grand prix motor racing and th"}
{"subject": "math:Scuderia_Filipinetti", "predicate": "proves", "object": "scuderia filipinetti (also french name ecurie filipinetti) was a swiss motor racing team that compet"}
{"subject": "math:Ecurie_Bonnier", "predicate": "proves", "object": "ecurie bonnier, ecurie suisse, joakim bonnier racing team and anglo-suisse racing team were names us"}
{"subject": "math:Population_balance_equation", "predicate": "proves", "object": "population balance equations (pbes) have been introduced in several branches of modern science, main"}
{"subject": "math:Gnesio-Lutherans", "predicate": "proves", "object": "gnesio-lutherans (from greek \u03b3\u03bd\u03ae\u03c3\u03b9\u03bf\u03c2 [gnesios]: genuine, authentic) is a modern name for a theologic"}
{"subject": "math:Small_cancellation_theory", "predicate": "proves", "object": "in the mathematical subject of group theory, small cancellation theory studies groups given by group"}
{"subject": "math:Final_value_theorem", "predicate": "proves", "object": "in mathematical analysis, the final value theorem (fvt) is one of several similar theorems used to r"}
{"subject": "math:Ross_Jamison", "predicate": "proves", "object": "ross jamison (born 19 march 1990 in wales) is a former hong kong racing driver of british descent. h"}
{"subject": "math:Flores-Figueroa_v._United_States", "predicate": "proves", "object": "flores-figueroa v. united states, 556 u.s. 646 (2009), was a decision by the supreme court of the un"}
{"subject": "math:Tin(IV)_fluoride", "predicate": "proves", "object": "tin(iv) fluoride is a chemical compound of tin and fluorine with the chemical formula snf4 and is a "}
{"subject": "math:Dyson_conjecture", "predicate": "proves", "object": "in mathematics, the dyson conjecture  is a conjecture about the constant term of certain laurent pol"}
{"subject": "math:Parseval\u2013Gutzmer_formula", "predicate": "proves", "object": "in mathematics, the parseval\u2013gutzmer formula states that, if  is an analytic function on a closed di"}
{"subject": "math:The_Fairy's_Dilemma", "predicate": "proves", "object": "harlequin and the fairy's dilemma, retitled the fairy's dilemma shortly after the play opened, is a "}
{"subject": "math:J\u00e1nos_Pach", "predicate": "proves", "object": "j\u00e1nos pach (born may 3, 1954) is a mathematician and computer scientist working in the fields of com"}
{"subject": "math:Closed_geodesic", "predicate": "proves", "object": "in differential geometry and dynamical systems, a closed geodesic on a riemannian manifold is a geod"}
{"subject": "math:ATS_(programming_language)", "predicate": "proves", "object": "ats (applied type system) is a programming language designed to unify programming with formal specif"}
{"subject": "math:CADE_ATP_System_Competition", "predicate": "proves", "object": "the cade atp system competition (casc) is a yearly competition of fully automated theorem provers fo"}
{"subject": "math:Method_of_dominant_balance", "predicate": "proves", "object": "in mathematics, the method of dominant balance is used to determine the asymptotic behavior of solut"}
{"subject": "math:Acetic_acid", "predicate": "proves", "object": "acetic acid , systematically named ethanoic acid , is an acidic, colourless liquid and organic compo"}
{"subject": "math:Hydrochloric_acid", "predicate": "proves", "object": "hydrochloric acid, also known as muriatic acid or spirits of salt, is an aqueous solution of hydroge"}
{"subject": "math:British_Motorcycle_Racing_Club", "predicate": "proves", "object": "the british motorcycle racing club (bmcrc), informally bemsee, is the largest motorcycle racing club"}
{"subject": "math:Hydroxyethyl_cellulose", "predicate": "proves", "object": "hydroxyethyl cellulose is a gelling and thickening agent derived from cellulose. it is widely used i"}
{"subject": "math:Fleet_Landing_Exercises", "predicate": "proves", "object": "the fleet landing exercises, or flex were amphibious landing exercises conducted by the united state"}
{"subject": "math:Equilateral_pentagon", "predicate": "proves", "object": "in geometry, an equilateral pentagon is a polygon in the euclidean plane with five sides of equal le"}
{"subject": "math:Acepentalene", "predicate": "proves", "object": "acepentalene is a tricyclic anti-aromatic compound. its molecular formula is . it consists of three "}
{"subject": "math:McLaren_M29", "predicate": "proves", "object": "the mclaren m29 is a formula one racing car built and run by mclaren during the 1979 formula one wor"}
{"subject": "math:McLaren_M28", "predicate": "proves", "object": "the mclaren m28 is a formula one racing car built and run by mclaren in the 1979 formula one world c"}
{"subject": "math:Theorema", "predicate": "proves", "object": "theorema is a genus of butterflies in the family lycaenidae.\nthe members (species) of this genus are"}
{"subject": "math:Cemesto", "predicate": "proves", "object": "cemesto is a sturdy, lightweight, waterproof and fire-resistant composite building material made fro"}
{"subject": "math:The_Whetstone_of_Witte", "predicate": "proves", "object": "the whetstone of witte is the shortened title of robert recorde's mathematics book published in 1557"}
{"subject": "math:Mechanica", "predicate": "proves", "object": "mechanica (; 1736) is a two-volume work published by mathematician leonhard euler which describes an"}
{"subject": "math:Borda\u2013Carnot_equation", "predicate": "proves", "object": "in fluid dynamics the borda\u2013carnot equation is an empirical description of the mechanical energy los"}
{"subject": "math:Shimshon_Amitsur", "predicate": "proves", "object": "shimshon avraham amitsur (born kaplan; ; august 26, 1921 \u2013 september 5, 1994) was an israeli mathema"}
{"subject": "math:Mahler's_inequality", "predicate": "proves", "object": "in mathematics, mahler's inequality, named after kurt mahler, states that the geometric mean of the "}
{"subject": "math:Insook_Choi", "predicate": "proves", "object": "insook choi (born 1962, in south korea) is a korean-american composer. she is the developer of the s"}
{"subject": "math:Systolic_freedom", "predicate": "proves", "object": "in differential geometry, systolic freedom refers to the fact that closed riemannian manifolds may h"}
{"subject": "math:FIA_Contract_Recognition_Board", "predicate": "proves", "object": "the fia contract recognition board (crb) is a body set up by motorsports governing body, the fia, to"}
{"subject": "math:Samprada_Singh", "predicate": "proves", "object": "samprada singh (1925 \u2013 27 july 2019) was an indian businessman, who was the founder and chairman of "}
{"subject": "math:List_of_C++_template_libraries", "predicate": "proves", "object": "the following list of c++ template libraries details the various libraries of templates available fo"}
{"subject": "math:Marriage_theorem", "predicate": "proves", "object": "in mathematics, the marriage theorem may refer to:\nhall's marriage theorem giving necessary and suff"}
{"subject": "math:University_of_Kentucky_Solar_Car_Team", "predicate": "proves", "object": "the university of kentucky solar car team is an independent, student-led project that operates as pa"}
{"subject": "math:1969_Tasman_Series", "predicate": "proves", "object": "the 1969 tasman series was a motor racing competition staged in new zealand and australia for cars c"}
{"subject": "math:H._Blaine_Lawson", "predicate": "proves", "object": "herbert blaine lawson, jr. is a mathematician best known for his work in minimal surfaces, calibrate"}
{"subject": "math:Bangtan_Helmet", "predicate": "proves", "object": "the bangtan helmet (korean: \ubc29\ud0c4 \ud5ec\uba67; bangtan is korean for \"anti-ballistic\" or \"bulletproof\") is a com"}
{"subject": "math:Bohr\u2013Van_Leeuwen_theorem", "predicate": "proves", "object": "the bohr\u2013van leeuwen theorem states that when statistical mechanics and classical mechanics are appl"}
{"subject": "math:2008_Estoril_Superleague_Formula_round", "predicate": "proves", "object": "the 2008 estoril superleague formula round was the fourth round of the inaugural superleague formula"}
{"subject": "math:Phil_Irving", "predicate": "proves", "object": "philip edward irving mbe, ceng., fimeche., msae. (1903\u20131992) was an australian engineer and author, "}
{"subject": "math:Chris_Dyer_(engineer)", "predicate": "proves", "object": "chris dyer (born 12 february 1968) is the former head of vehicle performance group at renault sport "}
{"subject": "math:BCK", "predicate": "proves", "object": "bck is the abbreviation of:\n\n bahria college karachi college in karachi, pakistan\n bc kosher, a kosh"}
{"subject": "math:Jan_Hamrin", "predicate": "proves", "object": "jan hamrin has spent 30 years promoting renewable energy through research, policy formulation, and t"}
{"subject": "math:Clemente_de_Faria_Jr.", "predicate": "proves", "object": "clemente de faria jr. (born august 17, 1987 in belo horizonte) is a brazilian racing driver. he won "}
{"subject": "math:Hemicube", "predicate": "proves", "object": "hemicube can mean:\nhemicube (computer graphics), a concept in 3d computer graphics rendering\nhemicub"}
{"subject": "math:McLaren_M19A", "predicate": "proves", "object": "the mclaren m19a is a formula one racing car built and run by mclaren in three world championship se"}
{"subject": "math:McLaren_M14A", "predicate": "proves", "object": "the mclaren m14a is a formula one racing car built and raced by mclaren in the 1970 world championsh"}
{"subject": "math:2003_Australian_Formula_Ford_Championship", "predicate": "proves", "object": "the 2003 ford racing australian formula ford championship was an australian motor racing competition"}
{"subject": "math:MapleSim", "predicate": "proves", "object": "maplesim is a modelica-based, multi-domain modeling and simulation tool developed by maplesoft. mapl"}
{"subject": "math:Christian_Montanari", "predicate": "proves", "object": "christian montanari (born 21 june 1981) is a former racing car driver from san marino.\n\nresults summ"}
{"subject": "math:Discrete_&_Computational_Geometry", "predicate": "proves", "object": "discrete & computational geometry is a peer-reviewed mathematics journal published quarterly by spri"}
{"subject": "math:Super_single", "predicate": "proves", "object": "super single may refer to:\n super single wheels on large trucks, where a single larger wheel and tir"}
{"subject": "math:Jerzy_Browkin", "predicate": "proves", "object": "jerzy browkin (5 november 1934 \u2013 23 november 2015) was a polish mathematician, studying mainly algeb"}
{"subject": "math:Honda_RA302", "predicate": "proves", "object": "the honda ra302 was a formula one racing car produced by honda racing, and introduced by honda racin"}
{"subject": "math:Walter_Dubislav", "predicate": "proves", "object": "walter dubislav (20 september 1895 \u2013 17 september 1937) was a german logician and philosopher of sci"}
{"subject": "math:ACM_Transactions_on_Mathematical_Software", "predicate": "proves", "object": "acm transactions on mathematical software (toms) is a quarterly scientific journal that aims to diss"}
{"subject": "math:Charles_Sims_(mathematician)", "predicate": "proves", "object": "charles coffin sims (april 14, 1937 \u2013 october 23, 2017) was an american mathematician best known for"}
{"subject": "math:Caffeyl_alcohol", "predicate": "proves", "object": "caffeyl alcohol is the organic compound with the formula (ho)2c6h3-4-chchch2oh.  this colourless sol"}
{"subject": "math:Split-pi_topology", "predicate": "proves", "object": "in electronics, a split-pi topology is a pattern of component interconnections used in a kind of pow"}
{"subject": "math:Berlinite", "predicate": "proves", "object": "berlinite (aluminium phosphate, chemical formula alpo4 or al(po4)) is a rare high-temperature hydrot"}
{"subject": "math:1970_Australian_Grand_Prix", "predicate": "proves", "object": "the 1970 australian grand prix was a motor race held at warwick farm raceway in new south wales, aus"}
{"subject": "math:Berezin_integral", "predicate": "proves", "object": "in mathematical physics, the berezin integral, named after felix berezin, (also known as grassmann i"}
{"subject": "math:1971_Australian_Grand_Prix", "predicate": "proves", "object": "the 1971 australian grand prix was a motor race held at warwick farm raceway in new south wales, aus"}
{"subject": "math:Dinosaur_man", "predicate": "proves", "object": "dinosaur man may refer to either:\n\n a hypothetical sapient dinosaur such as the dinosauroid, conject"}
{"subject": "math:1975_Australian_Grand_Prix", "predicate": "proves", "object": "the 1975 australian grand prix was a motor race for australian formula 1 and australian formula 2 ra"}
{"subject": "math:2009_Australian_Grand_Prix", "predicate": "proves", "object": "the 2009 australian grand prix (formally the 2009 formula 1 ing australian grand prix) was a formula"}
{"subject": "math:1976_Australian_Grand_Prix", "predicate": "proves", "object": "the 1976 australian grand prix was a motor race held at the sandown international motor racing circu"}
{"subject": "math:1977_Australian_Grand_Prix", "predicate": "proves", "object": "the 1977 australian grand prix was a motor race held at oran park international raceway in sydney, n"}
{"subject": "math:Arrows_A7", "predicate": "proves", "object": "the arrows a7 was a formula one car which the arrows team used to compete in the 1984 formula one se"}
{"subject": "math:Arrows_A6", "predicate": "proves", "object": "the arrows a6 was a formula one car which the arrows team used to compete in the  and  formula one s"}
{"subject": "math:Arrows_A8", "predicate": "proves", "object": "the arrows a8 was a formula one car, designed by dave wass, which the arrows team used to compete in"}
{"subject": "math:Arrows_A2", "predicate": "proves", "object": "the arrows a2 was a formula one racing car, designed by tony southgate and dave wass, was used by th"}
{"subject": "math:Arrows_A1", "predicate": "proves", "object": "the arrows a1 was the car with which arrows grand prix international competed in the  and  formula o"}
{"subject": "math:Arrows_A4", "predicate": "proves", "object": "the arrows a4 was the car which the arrows formula one team used to compete in the 1982 formula one "}
{"subject": "math:Arrows_A5", "predicate": "proves", "object": "the arrows a5 was the car which the arrows formula one team used to compete in the 1982 formula one "}
{"subject": "math:Arrows_FA1", "predicate": "proves", "object": "the arrows fa1 was a formula one car used by the arrows grand prix international team during the fir"}
{"subject": "math:FA1", "predicate": "proves", "object": "fa1 or fa-1 may refer to :\n arrows fa1, a racing car\n fa-1 (cable system), a fiber cable crossing th"}
{"subject": "math:Arrows_A9", "predicate": "proves", "object": "the arrows a9 was a formula one car which the arrows team used to compete in the 1986 formula one se"}
{"subject": "math:Arrows_A10", "predicate": "proves", "object": "the arrows a10 was a formula one car used by the arrows team  to compete in the  and  formula one se"}
{"subject": "math:Arrows_A11", "predicate": "proves", "object": "the arrows a11 was a formula one car with which the arrows team competed in the  and  formula one se"}
{"subject": "math:Footwork_FA13", "predicate": "proves", "object": "the footwork fa13 was a formula one car used by the footwork arrows team in the 1992 formula one wor"}
{"subject": "math:Footwork_FA14", "predicate": "proves", "object": "the footwork fa14 was a formula one car with which the footwork team competed in part of the 1993 fo"}
{"subject": "math:M\u00e1ria_Bal\u00e1\u017eov\u00e1", "predicate": "proves", "object": "m\u00e1ria bal\u00e1\u017eov\u00e1 (born 31 august 1956) is a contemporary slovak artist. her practise as an artist is u"}
{"subject": "math:Sickle-gloss", "predicate": "proves", "object": "sickle-gloss, or sickle sheen, is a silica residue found on blades such as sickles and scythes sugge"}
{"subject": "math:BMW_Sauber_F1.09", "predicate": "proves", "object": "the bmw sauber f1.09 was the formula one car with which the bmw sauber team competed in the 2009 for"}
{"subject": "math:Armadillo_(C++_library)", "predicate": "proves", "object": "armadillo is a linear algebra software library for the c++ programming language.  it aims to provide"}
{"subject": "math:Oxatriquinane", "predicate": "proves", "object": "oxatriquinane (oxoniaperhydrotriquinacene) is an alkyl oxonium ion with formula (ch2ch2ch)3o+.  it h"}
{"subject": "math:Oxatriquinacene", "predicate": "proves", "object": "oxatriquinacene is an organic cation with formula .  it is an oxonium ion, with a tricoordinated oxy"}
{"subject": "math:1941_Buenos_Aires_Grand_Prix", "predicate": "proves", "object": "the buenos aires grand prix, (also known as the premio ciudad de buenos aires) was a formula libre h"}
{"subject": "math:Formulations_of_special_relativity", "predicate": "proves", "object": "there have been various formulations of special relativity over the years which differ from einstein"}
{"subject": "math:Sodium_tetrachloroaluminate", "predicate": "proves", "object": "sodium tetrachloroaluminate, also known as natrium chloroaluminate, is a chemical compound with the "}
{"subject": "math:Matrix_differential_equation", "predicate": "proves", "object": "a differential equation is a mathematical equation for an unknown function of one or several variabl"}
{"subject": "math:TP_Formula", "predicate": "proves", "object": "tp formula is an auto racing team based in italy.\n\nreferences\n\nexternal links\nofficial website \n\naut"}
{"subject": "math:Stephen_Paul_(physicist)", "predicate": "proves", "object": "stephen f. paul (november 13, 1953 \u2013 september 15, 2012) was a physicist at the princeton plasma phy"}
{"subject": "math:1963_Australian_Grand_Prix", "predicate": "proves", "object": "the 1963 australian grand prix was a motor race held at warwick farm raceway in new south wales, aus"}
{"subject": "math:Z88_FEM_software", "predicate": "proves", "object": "z88 is a software package for the finite element method (fem) and topology optimization. a team led "}
{"subject": "math:Gunnar_Nilsson_Memorial_Trophy", "predicate": "proves", "object": "the gunnar nilsson memorial trophy was a time trial for formula one cars held at the donington park "}
{"subject": "math:1950_Pau_Grand_Prix", "predicate": "proves", "object": "the 1950 pau grand prix was a non-championship formula one motor race held on 10 april 1950 at the p"}
{"subject": "math:Bures_metric", "predicate": "proves", "object": "in mathematics, in the area of quantum information geometry, the bures metric (named after donald bu"}
{"subject": "math:1950_Richmond_Trophy", "predicate": "proves", "object": "the 2nd richmond trophy was a non-championship formula one race held at goodwood circuit, west susse"}
{"subject": "math:Ethernet_Ring_Protection_Switching", "predicate": "proves", "object": "ethernet ring protection switching, or erps, is an effort at itu-t under g.8032 recommendation to pr"}
{"subject": "math:Disilyne", "predicate": "proves", "object": "disilyne is a silicon hydride with the formula .  several isomers are possible, but none are suffici"}
{"subject": "math:Mild-slope_equation", "predicate": "proves", "object": "in fluid dynamics, the mild-slope equation describes the combined effects of diffraction and refract"}
{"subject": "math:2009_Superleague_Formula_season", "predicate": "proves", "object": "the 2009 superleague formula season was the second superleague formula championship. the series was "}
{"subject": "math:Five_Have_a_Mystery_to_Solve", "predicate": "proves", "object": "five have a mystery to solve is the 20th novel in the famous five series by enid blyton. it was firs"}
{"subject": "math:Foster's_theorem", "predicate": "proves", "object": "in probability theory, foster's theorem, named after gordon foster, is used to draw conclusions abou"}
{"subject": "math:Stefan's_equation", "predicate": "proves", "object": "in glaciology and civil engineering, stefan's equation (or stefan's formula) describes the dependenc"}
{"subject": "math:C15H11I4NO4", "predicate": "proves", "object": "{{displaytitle:c15h11i4no4}}\nthe molecular formula c15h11i4no4 may refer to:\n\n dextrothyroxine\n levo"}
{"subject": "math:Piquet_Racing", "predicate": "proves", "object": "piquet racing was a short-lived british formula 3000 racing team set up in 1992 by brazilian formula"}
{"subject": "math:Georges_Reeb", "predicate": "proves", "object": "georges henri reeb (12 november 1920 \u2013 6 november 1993) was a french mathematician. he worked in dif"}
{"subject": "math:V8_Hotstox", "predicate": "proves", "object": "v8 hotstox is a british stock car racing formula that races on british short oval racing circuits. d"}
{"subject": "math:Andy_Neate", "predicate": "proves", "object": "andrew simon neate (born 19 august 1974 in aylesbury) is a british former racing driver.\n\nracing car"}
{"subject": "math:Margaric_acid", "predicate": "proves", "object": "margaric acid, or heptadecanoic acid, is a saturated fatty acid. its molecular formula is . classifi"}
{"subject": "math:Avner_Friedman", "predicate": "proves", "object": "avner friedman (; born november 19, 1932) is distinguished professor of mathematics and physical sci"}
{"subject": "math:Quartic_reciprocity", "predicate": "proves", "object": "quartic or  biquadratic reciprocity is a collection of theorems in elementary and algebraic  number "}
{"subject": "math:Fireproof_(Dawn_Landes_album)", "predicate": "proves", "object": "fireproof is an album by the american singer-songwriter dawn landes. the album was released in janua"}
{"subject": "math:Quartic_surface", "predicate": "proves", "object": "in mathematics, especially in algebraic geometry, a quartic surface is a surface defined by an equat"}
{"subject": "math:Collocation_extraction", "predicate": "proves", "object": "collocation extraction is the task of using a computer to extract collocations automatically from a "}
{"subject": "math:Surplus_procedure", "predicate": "proves", "object": "the surplus procedure (sp) is a fair division protocol for dividing goods in a way that achieves pro"}
{"subject": "math:Kurt_Luby", "predicate": "proves", "object": "kurt gerrard luby (born 6 march 1963 in bolton, lancashire) is a british former racing driver who no"}
{"subject": "math:Roussillon_Grand_Prix", "predicate": "proves", "object": "the roussillon grand prix (grand prix du roussillon) was a grand prix motor racing event that was he"}
{"subject": "math:Michael_Bentwood", "predicate": "proves", "object": "michael bentwood (born 10 january 1978 and based in altrincham) is a british auto racing driver. aft"}
{"subject": "math:Administrative_Department_of_Public_Service_(Colom", "predicate": "proves", "object": "the administrative department of public service (, dafp) is the colombian executive administrative d"}
{"subject": "math:Higher-order_singular_value_decomposition", "predicate": "proves", "object": "in multilinear algebra, the higher-order singular value decomposition (hosvd) of a tensor is a speci"}
{"subject": "math:Ministry_of_Foreign_Affairs_(Portugal)", "predicate": "proves", "object": "the ministry of foreign affairs (, mne), is the portuguese governmental department responsible for t"}
{"subject": "math:K1c2_formula", "predicate": "proves", "object": "the k1c2 formula (sometimes stylized as kc), was a campaign platform and strategy used by republican"}
{"subject": "math:Lee\u2013Kesler_method", "predicate": "proves", "object": "the lee\u2013kesler method \n\nallows the estimation of the saturated vapor pressure at a given temperature"}
{"subject": "math:Bode's_sensitivity_integral", "predicate": "proves", "object": "bode's sensitivity integral, discovered by hendrik wade bode, is a formula that quantifies some of t"}
{"subject": "math:Personality_Assessment_System", "predicate": "proves", "object": "the personality assessment system (pas) is a descriptive model of personality formulated by john w. "}
{"subject": "math:2009_Japanese_Grand_Prix", "predicate": "proves", "object": "the 2009 japanese grand prix (formally the 2009 formula 1 fuji television japanese grand prix) was t"}
{"subject": "math:C2H5N", "predicate": "proves", "object": "{{displaytitle:c2h5n}}\nthe molecular formula c2h5n (molar mass: 43.07 g/mol, exact mass: 43.0422 u) "}
{"subject": "math:Michael_Ian_Shamos", "predicate": "proves", "object": "michael ian shamos (born april 21, 1947) is an american mathematician, attorney, book author, journa"}
{"subject": "math:Friedhelm_Waldhausen", "predicate": "proves", "object": "friedhelm waldhausen (born 1938 in millich, h\u00fcckelhoven, rhine province) is a german mathematician k"}
{"subject": "math:Ridge_Landing_Airpark", "predicate": "proves", "object": "ridge landing airpark , also known as ridge landing airport, is a private use airpark located four n"}
{"subject": "math:It\u00f4's_theorem", "predicate": "proves", "object": "it\u00f4's theorem is a result in the mathematical discipline of representation theory due to noboru it\u00f4."}
{"subject": "math:Faithfully_flat", "predicate": "proves", "object": "faithfully flat may refer to:\n faithfully flat morphism, in the theory of schemes in algebraic geome"}
{"subject": "math:Fourier_sine_and_cosine_series", "predicate": "proves", "object": "in mathematics, particularly the field of calculus and fourier analysis, the fourier sine and cosine"}
{"subject": "math:Wrapped_normal_distribution", "predicate": "proves", "object": "in probability theory and directional statistics, a wrapped normal distribution is a wrapped probabi"}
{"subject": "math:Ethyldichloroarsine", "predicate": "proves", "object": "ethyldichloroarsine, sometimes abbreviated \"ed\" and also known as ethyl dick, is an organoarsenic co"}
{"subject": "math:Frank_Lauren_Hitchcock", "predicate": "proves", "object": "frank lauren hitchcock (march 6, 1875 \u2013 may 31, 1957) was an american mathematician and physicist kn"}
{"subject": "math:SPARQL_Syntax_Expressions", "predicate": "proves", "object": "sparql syntax expressions (alternatively, sparql s-expressions) is a parse tree (a.k.a. concrete syn"}
{"subject": "math:Siracourt_V-1_bunker", "predicate": "proves", "object": "the siracourt v-1 bunker is a second world war bunker built in 1943\u201344 by the forces of nazi germany"}
{"subject": "math:Frank_Morgan_(mathematician)", "predicate": "proves", "object": "frank morgan is an american mathematician and the webster atwell '21 professor of mathematics, emeri"}
{"subject": "math:Enrico_Benzing", "predicate": "proves", "object": "enrico benzing (born 17 june 1932) is an italian engineer and journalist, son of the writer mario be"}
{"subject": "math:Trimecaine", "predicate": "proves", "object": "trimecaine (systematic name (2,4,6-trimethylphenylcarbamoylmethyl)diethylammonium chloride, chemical"}
{"subject": "math:Colorable", "predicate": "proves", "object": "colorable or colourable may refer to:\n\n graph coloring in mathematics\n in law, that a legal burden o"}
{"subject": "math:Methyldichloroarsine", "predicate": "proves", "object": "methyldichloroarsine, sometimes abbreviated \"md\" and also known as methyl dick, is an organoarsenic "}
{"subject": "math:SIMPLE_algorithm", "predicate": "proves", "object": "in computational fluid dynamics (cfd), the simple algorithm is a widely used numerical procedure to "}
{"subject": "math:Morass_(set_theory)", "predicate": "proves", "object": "in axiomatic set theory, a mathematical discipline, a morass is an infinite combinatorial structure,"}
{"subject": "math:Leipzig_Homicide", "predicate": "proves", "object": "leipzig homicide (soko leipzig) is a german crime drama television series first broadcast on 31 janu"}
{"subject": "math:Jonathan_Lewis_(motorsport)", "predicate": "proves", "object": "jonathan lewis is known for his long career in motorsport management where during the 1980s he was t"}
{"subject": "math:Thomas\u2013Fermi_model", "predicate": "proves", "object": "the thomas\u2013fermi (tf) model, named after llewellyn thomas and enrico fermi, is a quantum mechanical "}
{"subject": "math:Jay_Wheals", "predicate": "proves", "object": "jay wheals (born 18 march 1978) is a british racing driver who raced in the british touring car cham"}
{"subject": "math:Darren_Hossack", "predicate": "proves", "object": "darren hossack (born 1 april 1970) is a multiple-championship winning australian race car driver.\n\ne"}
{"subject": "math:Shijiazhuang_Pharma_Group", "predicate": "proves", "object": "cspc pharmaceutical group () (china pharma, , hang seng index component) researches, develops, manuf"}
{"subject": "math:Landsberg\u2013Schaar_relation", "predicate": "proves", "object": "in number theory and harmonic analysis, the landsberg\u2013schaar relation (or identity) is the following"}
{"subject": "math:Lean_body_mass", "predicate": "proves", "object": "lean body mass (lbm), sometimes conflated with , is a component of body composition.  fat-free mass "}
{"subject": "math:Schaffer_method", "predicate": "proves", "object": "the jane schaffer method is a formula for essay writing that is taught in some u.s. middle schools a"}
{"subject": "math:Dallas_Grand_Prix", "predicate": "proves", "object": "the dallas grand prix was a round of the formula one world championship held in dallas in 1984. the "}
{"subject": "math:Bulirsch\u2013Stoer_algorithm", "predicate": "proves", "object": "in numerical analysis, the bulirsch\u2013stoer algorithm is a method for the numerical solution of ordina"}
{"subject": "math:Las_Vegas_Grand_Prix", "predicate": "proves", "object": "the las vegas grand prix is a planned formula one grand prix due to form part of the 2023 formula on"}
{"subject": "math:Garside_element", "predicate": "proves", "object": "in mathematics, a garside element is an element of an algebraic structure such as a monoid that has "}
{"subject": "math:Timeline_of_the_2008_Chinese_milk_scandal", "predicate": "proves", "object": "this timeline of the 2008 chinese milk scandal documents how events related to the chinese dairy pro"}
{"subject": "math:MotorLand_Arag\u00f3n", "predicate": "proves", "object": "motorland arag\u00f3n (alternative spanish name: circuito de alca\u00f1iz) is a  race track used for motorspor"}
{"subject": "math:2009_Formula_Renault_seasons", "predicate": "proves", "object": "this article describes all the 2009 seasons of formula renault series across the world.\n\ncalendar\nth"}
{"subject": "math:Andr\u00e9_Haefliger", "predicate": "proves", "object": "andr\u00e9 haefliger (; 22 may 19297 march 2023) was a swiss mathematician who worked primarily on topolo"}
{"subject": "math:Christophe_Breuil", "predicate": "proves", "object": "christophe breuil (; born 1968) is a french mathematician, who works in arithmetic geometry and alge"}
{"subject": "math:Mineral_trioxide_aggregate", "predicate": "proves", "object": "mineral trioxide aggregate (mta) was developed for use as a dental root repair material by mahmoud t"}
{"subject": "math:Structure_constants", "predicate": "proves", "object": "in mathematics, the structure constants or structure coefficients of an algebra over a field are the"}
{"subject": "math:Cubanite", "predicate": "proves", "object": "cubanite is a copper iron sulfide mineral that commonly occurs as a minor alteration mineral in magm"}
{"subject": "math:Rey_Marquez", "predicate": "proves", "object": "reynaldo marquez was the fourth commissioner of the philippine basketball association. he also serve"}
{"subject": "math:1948_Roussillon_Grand_Prix", "predicate": "proves", "object": "results from the iii grand prix du roussillon held at circuit des platanes de perpignan on april 25,"}
{"subject": "math:Lambert's_problem", "predicate": "proves", "object": "in celestial mechanics, lambert's problem is concerned with the determination of an orbit from two p"}
{"subject": "math:Ahlswede\u2013Daykin_inequality", "predicate": "proves", "object": "the ahlswede\u2013daykin inequality  , also known as the four functions theorem (or inequality), \nis a co"}
{"subject": "math:Gyrovector_space", "predicate": "proves", "object": "a gyrovector space is a mathematical concept proposed by abraham a. ungar for studying hyperbolic ge"}
{"subject": "math:XYZ_inequality", "predicate": "proves", "object": "in combinatorial mathematics, the xyz inequality, also called the fishburn\u2013shepp inequality, is an i"}
{"subject": "math:Proof_of_Life_(The_Bill)", "predicate": "proves", "object": "\"proof of life\" () is a two-part storyline from the long-running thames television series the bill t"}
{"subject": "math:Sharp_Nemesis", "predicate": "proves", "object": "the sharp dr 90 nemesis is a formula one racing aircraft designed by jon sharp and built at the moja"}
{"subject": "math:Harris\u2013Benedict_equation", "predicate": "proves", "object": "the harris\u2013benedict equation (also called the harris-benedict principle) is a method used to estimat"}
{"subject": "math:Nominal_sentence", "predicate": "proves", "object": "nominal sentence (also known as equational sentence) is a linguistic term that refers to a nonverbal"}
{"subject": "math:Mount_Wycheproof", "predicate": "proves", "object": "mount wycheproof is a mountain in the small town of wycheproof, victoria, australia, which stands at"}
{"subject": "math:Simca-Gordini_T15", "predicate": "proves", "object": "the simca-gordini type 15, also known simply as the gordini type 15, is an open-wheel race car, desi"}
{"subject": "math:Bogoliubov_causality_condition", "predicate": "proves", "object": "bogoliubov causality condition is a causality condition for scattering matrix (s-matrix) in axiomati"}
{"subject": "math:Formula_(album)", "predicate": "proves", "object": "formula (released 1995) is an album by industrial/metal band old (old lady drivers).  it is their la"}
{"subject": "math:Brillouin's_theorem", "predicate": "proves", "object": "in quantum chemistry, brillouin's theorem, proposed by the french physicist l\u00e9on brillouin in 1934, "}
{"subject": "math:Hyponitrite", "predicate": "proves", "object": "in chemistry, hyponitrite may refer to the anion  ([on=no]2\u2212), or to any ionic compound that contain"}
{"subject": "math:Gurney_equations", "predicate": "proves", "object": "the gurney equations are a set of mathematical formulas used in explosives engineering to relate how"}
{"subject": "math:Tokyo_Performance_Doll", "predicate": "proves", "object": "tokyo performance doll also known as tpd (\u6771\u4eac\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u30c9\u30fc\u30eb) is a j-pop idol girl group that existed from"}
{"subject": "math:Confession_album", "predicate": "proves", "object": "the confession album, or confession book, was a kind of autograph book popular in late-nineteenth-ce"}
{"subject": "math:Erin_Bethea", "predicate": "proves", "object": "erin bethea (born august 12, 1982) is an american actress. she is known for appearing in sherwood pi"}
{"subject": "math:T61", "predicate": "proves", "object": "t61, t.61 or t-61 may refer to:\n allison t61, a turboprop engine\n , a tank landing ship of the ecuad"}
{"subject": "math:T58", "predicate": "proves", "object": "t58 may refer to:\n\naviation \n general electric t58, an american turboshaft engine\n ironhead airport,"}
{"subject": "math:Pentax_(lens)", "predicate": "proves", "object": "pentax lenses were first badged as takumar.  the takumar branded lenses were well respected for thei"}
{"subject": "math:Imitation_(disambiguation)", "predicate": "proves", "object": "imitation may refer to:\nimitation in human and animal behavior\nimitation (art), the fundamental arti"}
{"subject": "math:Ami_Harten", "predicate": "proves", "object": "amiram harten (1946 \u2013 1994) was an american/israeli applied mathematician. harten made fundamental c"}
{"subject": "math:Cooper_T43", "predicate": "proves", "object": "the cooper t43 was a formula one and formula two racing car designed and built by cooper car company"}
{"subject": "math:Sch\u00f6nhardt_polyhedron", "predicate": "proves", "object": "in geometry, the sch\u00f6nhardt polyhedron is the simplest non-convex polyhedron that cannot be triangul"}
{"subject": "math:Joe_Potts", "predicate": "proves", "object": "joe potts was a british racing driver, turned racing car manufacturer, of the 1950s. he designed and"}
{"subject": "math:Rosenbrock_methods", "predicate": "proves", "object": "rosenbrock methods refers to either of two distinct ideas in numerical computation, both named for h"}
{"subject": "math:Marine_electronics", "predicate": "proves", "object": "marine electronics refers to electronics devices designed and classed for use in the marine environm"}
{"subject": "math:Orthonitrate", "predicate": "proves", "object": "orthonitrate is a tetrahedral oxyanion of nitrogen with the formula .  it was first identified in 19"}
{"subject": "math:Iotalamic_acid", "predicate": "proves", "object": "iotalamic acid, sold under the brand name conray, is an iodine-containing radiocontrast agent. it is"}
{"subject": "math:1979_Dino_Ferrari_Grand_Prix", "predicate": "proves", "object": "the 1979 dino ferrari grand prix was a non-championship formula one motor race held at the autodromo"}
{"subject": "math:Ministry_of_Finance,_Planning_and_Economic_Develop", "predicate": "proves", "object": "the ministry of finance, planning and economic development (mofped) is a cabinet-level government mi"}
{"subject": "math:Cooper_T56", "predicate": "proves", "object": "the cooper t56 was the second series of formula junior racing cars offered by the cooper car company"}
{"subject": "math:Hermann_K\u00fcnneth", "predicate": "proves", "object": "hermann lorenz k\u00fcnneth (july 6, 1892 neustadt an der haardt \u2013 may 7, 1975 erlangen) was a german mat"}
{"subject": "math:Formula_Ford_Festival", "predicate": "proves", "object": "the formula ford festival is an annual meeting of ford-powered single-seat racing cars which is held"}
{"subject": "math:Thor-Christian_Ebbesvik", "predicate": "proves", "object": "thor\u2013christian ebbesvik (born 17 december 1983 in bergen) is a professional racing driver from norwa"}
{"subject": "math:Christophe_Claro", "predicate": "proves", "object": "christophe claro, better known as claro (born 14 may 1962, in paris), is a french writer and transla"}
{"subject": "math:4-Toluenesulfonyl_chloride", "predicate": "proves", "object": "4-toluenesulfonyl chloride (p-toluenesulfonyl chloride, toluene-p-sulfonyl chloride) is an organic c"}
{"subject": "math:Unitary_element", "predicate": "proves", "object": "in mathematics, an element x of a *-algebra is unitary if  it satisfies   \n\nin functional analysis, "}
{"subject": "math:Russo\u2013Dye_theorem", "predicate": "proves", "object": "in mathematics, the russo\u2013dye theorem is a result in the field of functional analysis. it states tha"}
{"subject": "math:Delta_set", "predicate": "proves", "object": "in mathematics, a \u03b4-set s, often called a \u03b4-complex or a semi-simplicial set, is a combinatorial obj"}
{"subject": "math:Arthur\u2013Selberg_trace_formula", "predicate": "proves", "object": "in mathematics, the arthur\u2013selberg trace formula is a generalization of the selberg trace formula fr"}
{"subject": "math:Trace_formula", "predicate": "proves", "object": "trace formula may refer to:\narthur\u2013selberg trace formula, also known as invariant trace formula, jac"}
{"subject": "math:Elementary_Calculus:_An_Infinitesimal_Approach", "predicate": "proves", "object": "elementary calculus: an infinitesimal approach is a textbook by h. jerome keisler. the subtitle allu"}
{"subject": "math:Clairaut's_relation_(differential_geometry)", "predicate": "proves", "object": "in classical differential geometry, clairaut's relation, named after alexis claude de clairaut, is a"}
{"subject": "math:Peter_Sundberg", "predicate": "proves", "object": "peter hans sundberg (born 10 may 1976) is a swedish car racing driver with titles in several categor"}
{"subject": "math:Latin_Flavors", "predicate": "proves", "object": "latin flavors is a hispanic manufacturer of frozen foods sold throughout the united states, latin am"}
{"subject": "math:Disodium_methyl_arsonate", "predicate": "proves", "object": "disodium methyl arsonate (dsma) is the organoarsenic compound with the formula ch3aso3na2.  it is a "}
{"subject": "math:Bruno_Dupire", "predicate": "proves", "object": "bruno dupire (born 1958) is a researcher and lecturer in quantitative finance. he is currently head "}
{"subject": "math:Rothmans_International_Series", "predicate": "proves", "object": "the rothmans international series was an australian motor racing series which was staged annually fr"}
{"subject": "math:Reeve_tetrahedra", "predicate": "proves", "object": "in geometry, the reeve tetrahedra are a family of polyhedra in three-dimensional space with vertices"}
{"subject": "math:Supertoroid", "predicate": "proves", "object": "in geometry and computer graphics, a supertoroid or supertorus is usually understood to be a family "}
{"subject": "math:2004_Formula_Renault_seasons", "predicate": "proves", "object": "this page describe all the 2004 seasons of formula renault series.\n\nformula renault 3.5l\n\nformula re"}
{"subject": "math:Pure_(programming_language)", "predicate": "proves", "object": "pure, successor to the equational language q, is a dynamically typed, functional programming languag"}
{"subject": "math:2002_Australian_Drivers'_Championship", "predicate": "proves", "object": "the 2002 australian drivers' championship was a cams sanctioned australian motor racing title for dr"}
{"subject": "math:Parallax_occlusion_mapping", "predicate": "proves", "object": "parallax occlusion mapping (pom) is an enhancement of the parallax mapping technique.  parallax occl"}
{"subject": "math:2008_British_Formula_Ford_Championship", "predicate": "proves", "object": "the 2008 british formula ford championship was the 33rd edition of the british formula ford champion"}
{"subject": "math:Magnesium_malate", "predicate": "proves", "object": "magnesium malate, the magnesium salt of malic acid,  is a mineral supplement often used for nutritio"}
{"subject": "math:William_Edward_Hodgson_Berwick", "predicate": "proves", "object": "william edward hodgson berwick (11 march 1888 in dudley hill, bradford \u2013 13 may 1944 in bangor, gwyn"}
{"subject": "math:Vladimir_Boltyansky", "predicate": "proves", "object": "vladimir grigorevich boltyansky (; 26 april 1925 \u2013 16 april 2019), also transliterated as boltyanski"}
{"subject": "math:Lax\u2013Friedrichs_method", "predicate": "proves", "object": "the lax\u2013friedrichs method, named after peter lax and kurt o. friedrichs, is a numerical method for t"}
{"subject": "math:Klein_surface", "predicate": "proves", "object": "in mathematics, a klein surface is a dianalytic manifold of complex dimension 1.  klein surfaces may"}
{"subject": "math:Minardi_PS04B", "predicate": "proves", "object": "the minardi ps04b was a formula one race car used by minardi cosworth in the 2004 formula one season"}
{"subject": "math:Bayesian_econometrics", "predicate": "proves", "object": "bayesian econometrics is a branch of econometrics which applies bayesian principles to economic mode"}
{"subject": "math:Kuznetsov_trace_formula", "predicate": "proves", "object": "in analytic number theory, the kuznetsov trace formula is an extension of the petersson trace formul"}
{"subject": "math:Petersson_trace_formula", "predicate": "proves", "object": "in analytic number theory, the petersson trace formula is a kind of orthogonality relation between c"}
{"subject": "math:Relation_between_Schr\u00f6dinger's_equation_and_the_pa", "predicate": "proves", "object": "this article relates the schr\u00f6dinger equation with the path integral formulation of quantum mechanic"}
{"subject": "math:Birkhoff's_representation_theorem", "predicate": "proves", "object": "this is about lattice theory. for other similarly named results, see birkhoff's theorem (disambiguat"}
{"subject": "math:Agmon's_inequality", "predicate": "proves", "object": "in mathematical analysis, agmon's inequalities, named after shmuel agmon,  consist of two closely re"}
{"subject": "math:Miami_Grand_Prix", "predicate": "proves", "object": "the miami grand prix is a formula one grand prix which was held for the first time during the  seaso"}
{"subject": "math:Jean-Pierre_Sydler", "predicate": "proves", "object": "jean-pierre sydler (1921-1988) was a swiss mathematician and a librarian, well known for his work in"}
{"subject": "math:Jakugo", "predicate": "proves", "object": ", or  of a k\u014dan is a proof of solution of the case riddle, but not the solution itself. in zen buddh"}
{"subject": "math:2008_Formula_Palmer_Audi_season", "predicate": "proves", "object": "the 2008 henderson formula palmer audi motor-racing competition was the eleventh of its kind. it was"}
{"subject": "math:Felipe_Guimar\u00e3es", "predicate": "proves", "object": "felipe \"lopes\" guimar\u00e3es (born march 22, 1991, in an\u00e1polis, goi\u00e1s) is a brazilian racing driver.\n\naf"}
{"subject": "math:Press_check_(printing)", "predicate": "proves", "object": "the printing press check is a step in the printing process. it takes place after a printing press is"}
{"subject": "math:FIA_Formula_Two_Championship_(2009\u20132012)", "predicate": "proves", "object": "the fia formula two championship was a one-make class of auto racing for formula two open wheeled si"}
{"subject": "math:Local_trace_formula", "predicate": "proves", "object": "in mathematics, the local trace formula  is a local analogue of the arthur\u2013selberg trace formula tha"}
{"subject": "math:Vincent_Radermecker", "predicate": "proves", "object": "vincent radermecker (born 5 july 1967) is a belgian racing driver.\n\nracing career\n\nearly years\nafter"}
{"subject": "math:1978_FIA_European_Formula_3_Championship", "predicate": "proves", "object": "the 1978 european formula three championship was the fourth fia european formula 3 championship seas"}
{"subject": "math:Steinitz_exchange_lemma", "predicate": "proves", "object": "the steinitz exchange lemma is a basic theorem in linear algebra used, for example, to show that any"}
{"subject": "math:Condensation_lemma", "predicate": "proves", "object": "in set theory, a branch of mathematics, the condensation lemma is a result about sets in the\nconstru"}
{"subject": "math:FriCAS", "predicate": "proves", "object": "fricas is a general purpose computer algebra system with a strong focus on mathematical research and"}
{"subject": "math:Brumer\u2013Stark_conjecture", "predicate": "proves", "object": "the brumer\u2013stark conjecture is a conjecture in algebraic number theory giving a rough generalization"}
{"subject": "math:Satake_diagram", "predicate": "proves", "object": "in the mathematical study of lie algebras and lie groups, a satake diagram is a generalization of a "}
{"subject": "math:Aumann's_agreement_theorem", "predicate": "proves", "object": "aumann's agreement theorem was stated and proved  by robert aumann in a paper titled \"agreeing to di"}
{"subject": "math:Nullity_theorem", "predicate": "proves", "object": "the nullity theorem is a mathematical theorem about the inverse of a partitioned matrix, which state"}
{"subject": "math:Badger_Institute", "predicate": "proves", "object": "the badger institute, formerly the wisconsin policy research institute, is a nonprofit policy resear"}
{"subject": "math:Code_Gray:_Ethical_Dilemmas_in_Nursing", "predicate": "proves", "object": "code gray: ethical dilemmas in nursing is a 1984 american short documentary film directed by joan sa"}
{"subject": "math:Dimension_theory_(algebra)", "predicate": "proves", "object": "in mathematics, dimension theory is the study in terms of commutative algebra of the notion dimensio"}
{"subject": "math:Damiano_Brigo", "predicate": "proves", "object": "damiano brigo (born venice, italy 1966) is a mathematician known for research in mathematical financ"}
{"subject": "math:Cage_discography", "predicate": "proves", "object": "the discography of cage, an american hip hop recording artist from new york city, consists of five s"}
{"subject": "math:Hazenite", "predicate": "proves", "object": "hazenite is a hydrous phosphate mineral with chemical formula of , therefore a hydrous alkali magnes"}
{"subject": "math:Alfred_Charles_Emden", "predicate": "proves", "object": "alfred charles richard emden was a barrister and county court judge, best remembered as the author o"}
{"subject": "math:Hudson_Formula", "predicate": "proves", "object": "the hudson formula derives from hudsons building and engineering contracts and is used for the asses"}
{"subject": "math:Jack_Clarke_(racing_driver)", "predicate": "proves", "object": "jack clarke (born 1 march 1988 in effingham, surrey) is a british racing driver. clarke is the steps"}
{"subject": "math:Fabrizio_Crestani", "predicate": "proves", "object": "fabrizio crestani (born 17 december 1987) is an italian racing driver.\n\ncareer \nhaving competed in k"}
{"subject": "math:Projection_method_(fluid_dynamics)", "predicate": "proves", "object": "in fluid dynamics, the projection method is an effective means of numerically solving time-dependent"}
{"subject": "math:Michael_Dalle_Stelle", "predicate": "proves", "object": "michael dalle stelle (born 5 july 1990) is an italian racing driver.\n\ncareer\n\nformula azzurra \nfollo"}
{"subject": "math:Endoscopic_group", "predicate": "proves", "object": "in mathematics, endoscopic groups of reductive algebraic groups were introduced by  in his work on t"}
{"subject": "math:NmVac4-A/C/Y/W-135", "predicate": "proves", "object": "nmvac4-a/c/y/w-135 is the commercial name of the polysaccharide vaccine against the bacterium (speci"}
{"subject": "math:Copper(I)_hydroxide", "predicate": "proves", "object": "copper(i) hydroxide is the hydroxide of the metal copper with the chemical formula of cuoh. it is a "}
{"subject": "math:FTCS_scheme", "predicate": "proves", "object": "in numerical analysis, the ftcs (forward time-centered space) method is a finite difference method u"}
{"subject": "math:Dichlorophenylphosphine", "predicate": "proves", "object": "dichlorophenylphosphine is an organophosphorus compound with the formula c6h5pcl2.  this colourless "}
{"subject": "math:2-Chlorobenzoic_acid", "predicate": "proves", "object": "2-chlorobenzoic acid is an organic compound with the formula clc6h4co2h.  it is one of three isomeri"}
{"subject": "math:Equivariant_L-function", "predicate": "proves", "object": "in algebraic number theory, an equivariant artin l-function is a function associated to a finite gal"}
{"subject": "math:Mark_Albon", "predicate": "proves", "object": "mark albon (born 9 november 1969 in billericay, essex) is a retired british race car driver. he cont"}
{"subject": "math:2008_Vallelunga_Superleague_Formula_round", "predicate": "proves", "object": "the 2008 vallelunga superleague formula round was the fifth round of the inaugural superleague formu"}
{"subject": "math:List_of_programming_language_researchers", "predicate": "proves", "object": "the following is list of researchers of programming language theory, design, implementation, and rel"}
{"subject": "math:Lucas_Benamo", "predicate": "proves", "object": "lucas benamo (born february 19, 1985) is an argentine racing driver. he is a former winner of the ar"}
{"subject": "math:Geographical_distance", "predicate": "proves", "object": "geographical distance or geodetic distance is the distance measured along the surface of the earth. "}
{"subject": "math:David_A._Freedman", "predicate": "proves", "object": "david amiel freedman (5 march 1938 \u2013 17 october 2008) was professor of statistics at the university "}
{"subject": "math:Housane", "predicate": "proves", "object": "housane or bicyclo[2.1.0]pentane is a saturated cycloalkane with the formula c5h8. it is a colorless"}
{"subject": "math:Luis_Rub\u00e9n_di_Palma", "predicate": "proves", "object": "rub\u00e9n luis di palma (october 27, 1944 in arrecifes \u2013 september 30, 2000 in carlos tejedor) was an ar"}
{"subject": "math:Leon_Simon", "predicate": "proves", "object": "leon melvyn simon , born in 1945, is a leroy p. steele prize and b\u00f4cher prize-winning mathematician,"}
{"subject": "math:Heawood", "predicate": "proves", "object": "heawood is a surname. notable people with the surname include:\n\njonathan heawood, british journalist"}
{"subject": "math:Stumpff_function", "predicate": "proves", "object": "in celestial mechanics, the stumpff functions ck(x), developed by karl stumpff, are used for analyzi"}
{"subject": "math:Fast_and_Realistic_OpenGL_Displayer", "predicate": "proves", "object": "the fast & realistic opengl displayer (frog) is a generic framework dedicated to visualize events in"}
{"subject": "math:Hilbert_space", "predicate": "proves", "object": "in mathematics, hilbert spaces (named after david hilbert) allow the methods of linear algebra and c"}
{"subject": "math:Gerald_Folland", "predicate": "proves", "object": "gerald budge folland is an american mathematician and a professor of mathematics at the university o"}
{"subject": "math:Iodine_trifluoride", "predicate": "proves", "object": "iodine trifluoride is an interhalogen compound with the chemical formula if3. it is a yellow solid w"}
{"subject": "math:Jacquet\u2013Langlands_correspondence", "predicate": "proves", "object": "in mathematics, the jacquet\u2013langlands correspondence is a correspondence  between automorphic forms "}
{"subject": "math:David_E._Goldman", "predicate": "proves", "object": "david e. goldman (david eliot goldman, 1910\u20131998) was a scientist famous for the goldman equation wh"}
{"subject": "math:N2O_(disambiguation)", "predicate": "proves", "object": "n2o is the chemical formula for nitrous oxide.\n\nn2o or n2o may also refer to:\n\n n2o records, a music"}
{"subject": "math:Hydrogen_silsesquioxane", "predicate": "proves", "object": "hydrogen silsesquioxane(s) (hsq, h-siox, thn, h-resin) are inorganic compounds with the empirical fo"}
{"subject": "math:Boltzmann\u2013Matano_analysis", "predicate": "proves", "object": "the boltzmann\u2013matano method is used to convert the partial differential equation resulting from fick"}
{"subject": "math:Twistane", "predicate": "proves", "object": "twistane (iupac name: tricyclo[4.4.0.03,8]decane) is an organic compound with the formula c10h16. it"}
{"subject": "math:Jeremejevite", "predicate": "proves", "object": "jeremejevite is an aluminium borate mineral with variable fluoride and hydroxide ions. its chemical "}
{"subject": "math:Von_Neumann_stability_analysis", "predicate": "proves", "object": "in numerical analysis, von neumann stability analysis (also known as fourier stability analysis) is "}
{"subject": "math:Kind_(type_theory)", "predicate": "proves", "object": "in the area of mathematical logic and computer science known as type theory, a kind is the type of a"}
{"subject": "math:Spectral_geometry", "predicate": "proves", "object": "spectral geometry is a field in mathematics which concerns relationships between geometric structure"}
{"subject": "math:Mutual_coherence", "predicate": "proves", "object": "mutual coherence can refer to:\n\n mutual coherence (physics), sinusoidal waves which exhibit a consta"}
{"subject": "math:Mutual_coherence_(linear_algebra)", "predicate": "proves", "object": "in linear algebra, the coherence or mutual coherence of a matrix a is defined as the maximum absolut"}
{"subject": "math:Farrell\u2013Jones_conjecture", "predicate": "proves", "object": "in mathematics, the farrell\u2013jones conjecture, named after f. thomas farrell and lowell e. jones, sta"}
{"subject": "math:Isomer", "predicate": "proves", "object": "in chemistry, isomers are molecules or polyatomic ions with identical molecular formula \u2013 that is, s"}
{"subject": "math:Wetton,_Staffordshire", "predicate": "proves", "object": "wetton is a village in the peak district national park, north staffordshire, at the top of the east "}
{"subject": "math:Tomasz_Mrowka", "predicate": "proves", "object": "tomasz mrowka (born september 8, 1961) is an american mathematician specializing in differential geo"}
{"subject": "math:2008_Jerez_Superleague_Formula_round", "predicate": "proves", "object": "the 2008 jerez superleague formula round was the sixth and final round of the inaugural superleague "}
{"subject": "math:Michael_J._Hopkins", "predicate": "proves", "object": "michael jerome hopkins (born april 18, 1958) is an american mathematician known for work in algebrai"}
{"subject": "math:Dioxin", "predicate": "proves", "object": "dioxin may refer to:\n\n1,2-dioxin or 1,4-dioxin, two unsaturated heterocyclic 6-membered rings in whi"}
{"subject": "math:Hesse_normal_form", "predicate": "proves", "object": "the hesse normal form named after otto hesse, is an equation used in analytic geometry, and describe"}
{"subject": "math:Kirillov_model", "predicate": "proves", "object": "in mathematics, the kirillov model, studied by , is a realization of a representation of gl2 over a "}
{"subject": "math:2008_Race_of_Champions", "predicate": "proves", "object": "the 2008 race of champions was the 21st running of the event, and took place on december 14, 2008 at"}
{"subject": "math:Artinian_ideal", "predicate": "proves", "object": "in abstract algebra, an artinian ideal, named after emil artin, is encountered in ring theory, in pa"}
{"subject": "math:Moufang_polygon", "predicate": "proves", "object": "in mathematics, moufang polygons  are a generalization by jacques tits of the moufang planes studied"}
{"subject": "math:Defying_Ocean's_End", "predicate": "proves", "object": "defying ocean's end (doe) is a global agenda for action in marine conservation compiled in a 2004 is"}
{"subject": "math:Whittaker_model", "predicate": "proves", "object": "in representation theory, a branch of mathematics, the whittaker model is a realization of a represe"}
{"subject": "math:John_Alcorn_(racing_driver)", "predicate": "proves", "object": "john alcorn (born 27 july 1964 in romford, essex) is a retired british race car driver. he attempted"}
{"subject": "math:Infinite_broom", "predicate": "proves", "object": "in topology, a branch of mathematics, the infinite broom is a subset of the euclidean plane that is "}
{"subject": "math:Huttonite", "predicate": "proves", "object": "huttonite is a thorium nesosilicate mineral with the chemical formula  and which crystallizes in the"}
{"subject": "math:Peierls_transition", "predicate": "proves", "object": "a peierls transition or peierls distortion is a distortion of the periodic lattice of a one-dimensio"}
{"subject": "math:Billy_James_Pettis", "predicate": "proves", "object": "billy james pettis (1913 \u2013 14 april 1979), was an american mathematician, known for his contribution"}
{"subject": "math:Der-Tsai_Lee", "predicate": "proves", "object": "der-tsai lee (aka. d. t. lee) is a taiwanese computer scientist, known for his work in computational"}
{"subject": "math:Napkin_folding_problem", "predicate": "proves", "object": "the napkin folding problem is a problem in geometry and the mathematics of paper folding that explor"}
{"subject": "math:3-Methylpentane", "predicate": "proves", "object": "3-methylpentane is a branched alkane with the molecular formula c6h14. it is a structural isomer of "}
{"subject": "math:Fittipaldi_F5", "predicate": "proves", "object": "the fittipaldi f5 was a formula one car for the 1977 formula one season. it was driven by brazilian "}
{"subject": "math:Shoshichi_Kobayashi", "predicate": "proves", "object": "was a japanese mathematician. he was the eldest brother of electrical engineer and computer scientis"}
{"subject": "math:Nitrate_radical", "predicate": "proves", "object": "trioxidonitrogen(\u2022) or nitrate radical is an oxide of nitrogen with formula , consisting of three ox"}
{"subject": "math:Dunford\u2013Schwartz_theorem", "predicate": "proves", "object": "in mathematics, particularly functional analysis, the dunford\u2013schwartz theorem, named after nelson d"}
{"subject": "math:Hill_tetrahedron", "predicate": "proves", "object": "in geometry, the hill tetrahedra are a family of space-filling tetrahedra.  they were discovered in "}
{"subject": "math:Behaghel's_laws", "predicate": "proves", "object": "behaghel's laws describe the basic principles of the position of words and phrases in a sentence.   "}
{"subject": "math:Togliatti_surface", "predicate": "proves", "object": "in algebraic geometry, a togliatti surface is a nodal surface of degree five with 31 nodes. the firs"}
{"subject": "math:J._C._P._Miller", "predicate": "proves", "object": "jeffrey charles percy miller (31 august 1906 \u2013 24 april 1981) was an english mathematician and compu"}
{"subject": "math:Juli\u00e1n_Leal", "predicate": "proves", "object": "\u00f3mar juli\u00e1n leal covelli, commonly known as juli\u00e1n leal, (born may 11, 1990 in bucaramanga) is a pro"}
{"subject": "math:Inoue\u2013Hirzebruch_surface", "predicate": "proves", "object": "in mathematics, a inoue\u2013hirzebruch surface is a complex surface with no meromorphic functions introd"}
{"subject": "math:Cyano_radical", "predicate": "proves", "object": "the cyano radical (or cyanido radical) is a radical with molecular formula cn, sometimes written \u2022cn"}
{"subject": "math:Humbert_surface", "predicate": "proves", "object": "in algebraic geometry, a humbert surface, studied by , is a surface in the moduli space of principal"}
{"subject": "math:Holeproof_Hosiery", "predicate": "proves", "object": "holeproof hosiery was a milwaukee, wisconsin textile firm that was founded in 1901. the business was"}
{"subject": "math:Vandermonde_polynomial", "predicate": "proves", "object": "in algebra, the vandermonde polynomial of an ordered set of n variables , named after alexandre-th\u00e9o"}
{"subject": "math:Alternating_polynomial", "predicate": "proves", "object": "in algebra, an alternating polynomial is a polynomial  such that if one switches any two of the vari"}
{"subject": "math:Helsinki_Process_on_Globalisation_and_Democracy", "predicate": "proves", "object": "the helsinki process on globalization and democracy is a joint initiative of finland and tanzania th"}
{"subject": "math:Polytetrahydrofuran", "predicate": "proves", "object": "polytetrahydrofuran, also called poly(tetramethylene ether) glycol or poly(tetramethylene oxide), is"}
{"subject": "math:Cobalt_sulfide", "predicate": "proves", "object": "cobalt sulfide is the name for chemical compounds with a formula coxsy.  well-characterized species "}
{"subject": "math:Fenjal", "predicate": "proves", "object": "fenjal is a brand of cosmetic hygiene products marketed around the world by the pharmaceutical and c"}
{"subject": "math:Sodium_fluorosilicate", "predicate": "proves", "object": "sodium fluorosilicate is a compound with the chemical formula na2[sif6]. unlike other sodium salts, "}
{"subject": "math:Schl\u00e4fli_orthoscheme", "predicate": "proves", "object": "in geometry, a schl\u00e4fli orthoscheme is a type of simplex. the orthoscheme is the generalization of t"}
{"subject": "math:Monostatic_polytope", "predicate": "proves", "object": "in geometry, a monostatic polytope (or unistable polyhedron) is a d-polytope which \"can stand on onl"}
{"subject": "math:Pentagon", "predicate": "proves", "object": "in geometry, a pentagon (from the greek \u03c0\u03ad\u03bd\u03c4\u03b5 pente meaning five and \u03b3\u03c9\u03bd\u03af\u03b1 gonia meaning angle) is a"}
{"subject": "math:Barth_surface", "predicate": "proves", "object": "\nin algebraic geometry, a barth surface is one of the complex nodal surfaces in 3 dimensions with la"}
{"subject": "math:Real_RAM", "predicate": "proves", "object": "in computing, especially computational geometry, a real ram (random-access machine) is a mathematica"}
{"subject": "math:Project_Kuwait", "predicate": "proves", "object": "project kuwait is a $7 billion, 25-year plan, first formulated in 1997 by the spc, to increase the c"}
{"subject": "math:Computing_the_permanent", "predicate": "proves", "object": "in linear algebra, the computation of the permanent of a matrix is a problem that is thought to be m"}
{"subject": "math:Aluminium_magnesium_boride", "predicate": "proves", "object": "aluminium magnesium boride or al3mg3b56, colloquially known as bam, is a chemical compound of alumin"}
{"subject": "math:Ammonium_iron(III)_sulfate", "predicate": "proves", "object": "ammonium iron(iii) sulfate, nh4fe(so4)2\u00b712 h2o, or nh4[fe(h2o)6](so4)2\u00b76 h2o, also known as ferric a"}
{"subject": "math:Geometriae_Dedicata", "predicate": "proves", "object": "geometriae dedicata is a mathematical journal, founded in 1972, concentrating on geometry and its re"}
{"subject": "math:Clique_complex", "predicate": "proves", "object": "clique complexes, independence complexes, flag complexes, whitney complexes and conformal hypergraph"}
{"subject": "math:B\u00f8rge_Jessen", "predicate": "proves", "object": "b\u00f8rge christian jessen (19 june 1907 \u2013 20 march 1993) was a danish mathematician best known for his "}
{"subject": "math:Zineb", "predicate": "proves", "object": "zineb is the chemical compound with the formula {zn[s2cn(h)ch2ch2n(h)cs2]}n. structurally, it is cla"}
{"subject": "math:List_of_Toyota_model_codes", "predicate": "proves", "object": "the following model codes have been used by toyota. the letters of the model code is found by combin"}
{"subject": "math:Hyperbolic_law_of_cosines", "predicate": "proves", "object": "in hyperbolic geometry, the \"law of cosines\" is a pair of theorems relating the sides and angles of "}
{"subject": "math:Molybdenum_hexafluoride", "predicate": "proves", "object": "molybdenum hexafluoride, also molybdenum(vi) fluoride, is the inorganic compound with the formula mo"}
{"subject": "math:The_Equation_of_Love_and_Death", "predicate": "proves", "object": "the equation of love and death () is a 2008 chinese dramatic film written and directed by cao baopin"}
{"subject": "math:True_quantified_Boolean_formula", "predicate": "proves", "object": "in computational complexity theory, the language tqbf is a formal language consisting of the true qu"}
{"subject": "math:\u266fP-completeness_of_01-permanent", "predicate": "proves", "object": "the #p-completeness of 01-permanent, sometimes known as valiant's theorem, is a mathematical proof a"}
{"subject": "math:Propyl_propanoate", "predicate": "proves", "object": "propyl propanoate (propyl propionate) is the organic compound with the molecular formula c6h12o2.  i"}
{"subject": "math:C17H36", "predicate": "proves", "object": "the molecular formula c17h36 (molar mass: 240.27 g/mol, exact mass: 240.2817 u) may refer to:\n\n 3,3-"}
{"subject": "math:Kakutani's_theorem_(geometry)", "predicate": "proves", "object": "kakutani's theorem is a result in geometry named after shizuo kakutani.  it states that every convex"}
{"subject": "math:Elementary_calculus", "predicate": "proves", "object": "elementary calculus may refer to:\n\n the elementary aspects of differential and integral calculus;\n e"}
{"subject": "math:Peter_G._Harrison", "predicate": "proves", "object": "peter george harrison (born 1951) is an emeritus professor of computing science at imperial college "}
{"subject": "math:History_of_Formula_One_regulations", "predicate": "proves", "object": "the regulations governing formula one racing have changed many times throughout the history of the s"}
{"subject": "math:Lola_T93/30", "predicate": "proves", "object": "the lola t93/30 was the formula one car built by lola cars and raced by the bms scuderia italia team"}
{"subject": "math:Biological_functions_of_nitric_oxide", "predicate": "proves", "object": "biological functions of nitric oxide are roles that nitric oxide plays within biology.\n\nnitric oxide"}
{"subject": "math:Lola_T95/30", "predicate": "proves", "object": "the lola t95/30 is a formula one motor racing car which was tested by allan mcnish during 1994 and e"}
{"subject": "math:2009_FIA_Formula_Two_Championship", "predicate": "proves", "object": "the 2009 fia formula two championship season was the first year of the relaunched fia formula two ch"}
{"subject": "math:The_Words_Don't_Fit_the_Picture", "predicate": "proves", "object": "the words don't fit the picture is the 14th studio album by country singer willie nelson.\n\nbackgroun"}
{"subject": "math:STTW", "predicate": "proves", "object": "the initialism sttw may stand for:\n\nsabrina the teenage witch, a comic book series\n\"shiyong tongbu t"}
{"subject": "math:Continuous_mapping_theorem", "predicate": "proves", "object": "in probability theory, the continuous mapping theorem states that continuous functions preserve limi"}
{"subject": "math:Difenacoum", "predicate": "proves", "object": "difenacoum is an anticoagulant of the 4-hydroxycoumarin vitamin k antagonist type. it has anticoagul"}
{"subject": "math:Collapse_(topology)", "predicate": "proves", "object": "in topology, a branch of mathematics, a collapse reduces a simplicial complex (or more generally, a "}
{"subject": "math:Laying_My_Burdens_Down", "predicate": "proves", "object": "laying my burdens down is the 11th studio album by country singer willie nelson, released in late 19"}
{"subject": "math:2009_British_Grand_Prix", "predicate": "proves", "object": "the 2009 british grand prix (formally the 2009 formula 1 santander british grand prix) was a formula"}
{"subject": "math:Medial_rhombic_triacontahedron", "predicate": "proves", "object": "in geometry, the medial rhombic triacontahedron (or midly rhombic triacontahedron) is a nonconvex is"}
{"subject": "math:Great_rhombic_triacontahedron", "predicate": "proves", "object": "in geometry, the great rhombic triacontahedron is a nonconvex isohedral, isotoxal polyhedron. it is "}
{"subject": "math:H._J._Ryser", "predicate": "proves", "object": "herbert john ryser (july 28, 1923 \u2013 july 12, 1985) was a professor of mathematics, widely regarded a"}
{"subject": "math:Golden_rhombus", "predicate": "proves", "object": "in geometry, a golden rhombus is a rhombus whose diagonals are in the golden ratio:\n\nequivalently, i"}
{"subject": "math:Great_hexacronic_icositetrahedron", "predicate": "proves", "object": "in geometry, the great hexacronic icositetrahedron is the dual of the great cubicuboctahedron. its f"}
{"subject": "math:Cabinet_Office_(Sri_Lanka)", "predicate": "proves", "object": "the cabinet office is a department of the government of sri lanka responsible for supporting the cab"}
{"subject": "math:C2H4N2O2", "predicate": "proves", "object": "{{displaytitle:c2h4n2o2}}\nthe molecular formula c2h4n2o2 may refer to:\n\n 1,2-diformylhydrazine, chem"}
{"subject": "math:C2H5N3O2", "predicate": "proves", "object": "{{displaytitle:c2h5n3o2}}\nthe molecular formula c2h5n3o2 (molar mass: 103.08 g/mol, exact mass: 103."}
{"subject": "math:C3H2", "predicate": "proves", "object": "{{displaytitle:c3h2}}\nthe molecular formula c3h2 (molar mass: 38.05 g/mol, exact mass: 38.0157 u) ma"}
{"subject": "math:1,3-Bis(diphenylphosphino)propane", "predicate": "proves", "object": "1,3-bis(diphenylphosphino)propane (dppp) is an organophosphorus compound with the formula php(ch)pph"}
{"subject": "math:C3H8N2", "predicate": "proves", "object": "{{displaytitle:c3h8n2}}\nthe molecular formula c3h8n2 (molar mass: 72.11 g/mol, exact mass: 72.0688 u"}
{"subject": "math:C4H5NS", "predicate": "proves", "object": "{{displaytitle:c4h5ns}}\nthe molecular formula c4h5ns (molar mass: 99.15 g/mol, exact mass: 99.0143 u"}
{"subject": "math:C4H6N2O2", "predicate": "proves", "object": "{{displaytitle:c4h6n2o2}}\nthe molecular formula c4h6n2o2 may refer to:\n\n cyanoalanine, an uncommon a"}
{"subject": "math:C4H7N", "predicate": "proves", "object": "{{displaytitle:c4h7n}}\nthe molecular formula c4h7n (molar mass: 69.10 g/mol, exact mass: 69.05785 u)"}
{"subject": "math:C4H10S", "predicate": "proves", "object": "{{displaytitle:c4h10s}}\nthe molecular formula c4h10s may refer to:\n\n butanethiol (n-butyl mercaptan)"}
{"subject": "math:C5H4N4S", "predicate": "proves", "object": "{{displaytitle:c5h4n4s}}\nthe molecular formula c5h4n4s (molar mass : 152.18 g/mol) may refer to :\n m"}
{"subject": "math:C5H10N2O2S", "predicate": "proves", "object": "{{displaytitle:c5h10n2o2s}}\nthe molecular formula c5h10n2o2s (molar mass: 162.21 g/mol, exact mass: "}
{"subject": "math:C6H7NO", "predicate": "proves", "object": "{{displaytitle:c6h7no}}\nthe molecular formula c6h7no (molar mass: 109.13 g/mol) may refer to:\n\n amin"}
{"subject": "math:C6H8N2", "predicate": "proves", "object": "{{displaytitle:c6h8n2}}\nthe molecular formula c6h8n2 may refer to:\n\n adiponitrile\n dimethylpyrazine,"}
{"subject": "math:C6H9NO6", "predicate": "proves", "object": "{{displaytitle:c6h9no6}}\nthe molecular formula c6h9no6 (molar mass: 191.14 g/mol) may refer to:\n\n ca"}
{"subject": "math:C6H9N3O3", "predicate": "proves", "object": "the molecular formula c6h9n3o3 (molar mass: 171.15 g/mol, exact mass: 171.0644 u) may refer to:\n \n 6"}
{"subject": "math:C6H10N2O2", "predicate": "proves", "object": "the molecular formula c6h10n2o2 (molar mass: 142.16 g/mol, exact mass: 142.0742 u) may refer to:\n\n p"}
{"subject": "math:C6H11NO", "predicate": "proves", "object": "{{displaytitle:c6h11no}}\nthe molecular formula c6h11no may refer to:\n\n caprolactam (cpl)\n cyclohexan"}
{"subject": "math:C6H11NO2", "predicate": "proves", "object": "{{displaytitle:c6h11no2}}\nthe molecular formula c6h11no2 may refer to:\n\n cyclohexyl nitrite, an orga"}
{"subject": "math:C6H11NO3S", "predicate": "proves", "object": "{{displaytitle:c6h11no3s}}\nthe molecular formula c6h11no3s (molar mass: 177.22 g/mol, exact mass: 17"}
{"subject": "math:C6H12N2", "predicate": "proves", "object": "{{displaytitle:c6h12n2}}\nthe molecular formula c6h12n2 (molar mass: 112.17 g/mol, exact mass: 112.10"}
{"subject": "math:C6H13NO2", "predicate": "proves", "object": "{{displaytitle:c6h13no2}}\nthe molecular formula c6h13no2 (molar mass: 131.17 g/mol, exact mass: 131."}
{"subject": "math:C6H14N2O2", "predicate": "proves", "object": "{{displaytitle:c6h14n2o2}}\nthe molecular formula c6h14n2o2 (molar mass: 146.19 g/mol) may refer to:\n"}
{"subject": "math:C6H15N", "predicate": "proves", "object": "{{displaytitle:c6h15n}}\nthe molecular formula c6h15n (molar mass: 101.19 g/mol, exact mass: 101.1204"}
{"subject": "math:C6H15O4P", "predicate": "proves", "object": "{{displaytitle:c6h15o4p}}\nthe molecular formula c6h15o4p (molar mass: 182.15 g/mol, exact mass: 182."}
{"subject": "math:C6H18N4", "predicate": "proves", "object": "{{displaytitle:c6h18n4}}\nthe molecular formula c6h18n4 may refer to:\n\n triethylenetetramine, an orga"}
{"subject": "math:Great_deltoidal_icositetrahedron", "predicate": "proves", "object": "in geometry, the great deltoidal icositetrahedron (or great sagittal disdodecahedron) is the dual of"}
{"subject": "math:1,3-Indandione", "predicate": "proves", "object": "1,3-indandione (sometimes simply indanedione) is an organic compound with the molecular formula c6h4"}
{"subject": "math:4-Methylpyridine", "predicate": "proves", "object": "4-methylpyridine is the organic compound with the formula ch3c5h4n. it is one of the three isomers o"}
{"subject": "math:Raoul_Bricard", "predicate": "proves", "object": "raoul bricard (23 march 1870 \u2013 26 november 1943) was a french engineer and a mathematician.  he is b"}
{"subject": "math:Spiropentadiene", "predicate": "proves", "object": "spiropentadiene, or bowtiediene, is a hydrocarbon with formula . the simplest spiro-connected diene,"}
{"subject": "math:RSM_Marko", "predicate": "proves", "object": "rsm marko (known as red bull junior team in 1999-2003) was a austria auto racing team, who competed "}
{"subject": "math:Cerium(III)_oxide", "predicate": "proves", "object": "cerium(iii) oxide, also known as cerium oxide, cerium trioxide, cerium sesquioxide, cerous oxide or "}
{"subject": "math:\u0391-Naphthylthiourea", "predicate": "proves", "object": "\u03b1-naphthylthiourea (antu) is an organosulfur compound with the formula c10h7nhc(s)nh2. this a white,"}
{"subject": "math:Nonradiation_condition", "predicate": "proves", "object": "classical nonradiation conditions define the conditions according to classical electromagnetism unde"}
{"subject": "math:Gauge_gravitation_theory", "predicate": "proves", "object": "in quantum field theory, gauge gravitation theory is the effort to extend yang\u2013mills theory, which p"}
{"subject": "math:Sigma_50mm_f/1.4_EX_DG_HSM_lens", "predicate": "proves", "object": "the sigma 50mm 1.4 ex dg hsm is a normal prime lens made by the sigma corporation.\n\nthe lens is prod"}
{"subject": "math:Algebraic_analysis", "predicate": "proves", "object": "algebraic analysis is an area of mathematics that deals with systems of linear partial differential "}
{"subject": "math:Stone_functor", "predicate": "proves", "object": "in mathematics, the stone functor is a functor s: topop \u2192 bool, where top is the category of topolog"}
{"subject": "math:Universal_Darwinism", "predicate": "proves", "object": "universal darwinism, also known as generalized darwinism, universal selection theory, or darwinian m"}
{"subject": "math:Delta-functor", "predicate": "proves", "object": "in homological algebra, a \u03b4-functor between two abelian categories a and b is a collection of functo"}
{"subject": "math:Erd\u0151s\u2013Nagy_theorem", "predicate": "proves", "object": "the erd\u0151s\u2013nagy theorem is a result in discrete geometry stating that a non-convex simple polygon can"}
{"subject": "math:1,2-Dichloro-4-nitrobenzene", "predicate": "proves", "object": "1,2-dichloro-4-nitrobenzene is an organic compound with the formula 1,2-clch-4-no.  this pale yellow"}
{"subject": "math:Arthur's_conjectures", "predicate": "proves", "object": "in mathematics, the arthur conjectures are some conjectures about automorphic representations of red"}
{"subject": "math:Telomerization", "predicate": "proves", "object": "telomerization is a reaction that produces a particular kind of oligomer with two distinct end group"}
{"subject": "math:Southern_Sudan_Legislative_Assembly", "predicate": "proves", "object": "the southern sudan legislative assembly was established in 2005 by the interim constitution of the s"}
{"subject": "math:Sigma_150mm_f/2.8_APO_Macro_EX_DG_HSM_lens", "predicate": "proves", "object": "the sigma 150mm 2.8 apo macro ex dg hsm is a telephoto macro prime lenses made by sigma corporation."}
{"subject": "math:Iminodiacetic_acid", "predicate": "proves", "object": "iminodiacetic acid is the organic compound with the formula hn(ch2co2h)2, often abbreviated to ida. "}
{"subject": "math:Ministry_of_Communication,_Science_and_Technology", "predicate": "proves", "object": "the ministry of communication, and ict was a tanzanian government ministry that was established in f"}
{"subject": "math:New_Foundation", "predicate": "proves", "object": "new foundation may refer to:\n the new foundation (professional wrestling), a tag team consisting of "}
{"subject": "math:Levich_equation", "predicate": "proves", "object": "the levich equation models the diffusion and solution flow conditions around a rotating disk electro"}
{"subject": "math:Isopropyl_alcohol", "predicate": "proves", "object": "isopropyl alcohol (iupac name propan-2-ol and also called isopropanol or 2-propanol) is a colorless,"}
{"subject": "math:Dara_Rolins", "predicate": "proves", "object": "dara rolins (born 7 december 1972) is a slovak recording artist and entrepreneur. her music career b"}
{"subject": "math:COSMOSPACE", "predicate": "proves", "object": "cosmospace (cosmo surface-pair activity coefficient equation) is an activity coefficient model in wh"}
{"subject": "math:Radon\u2013Riesz_property", "predicate": "proves", "object": "the radon\u2013riesz property is a mathematical property for normed spaces that helps ensure convergence "}
{"subject": "math:Simple-homotopy_equivalence", "predicate": "proves", "object": "in mathematics, particularly the area of topology, a simple-homotopy equivalence is a refinement of "}
{"subject": "math:Geometric_combinatorics", "predicate": "proves", "object": "geometric combinatorics is a branch of mathematics in general and combinatorics in particular.  it i"}
{"subject": "math:Grunwald\u2013Wang_theorem", "predicate": "proves", "object": "in algebraic number theory, the grunwald\u2013wang theorem is a local-global principle stating that\u2014excep"}
{"subject": "math:Combinatorics_and_dynamical_systems", "predicate": "proves", "object": "the mathematical disciplines of combinatorics and dynamical systems interact in a number of ways. th"}
{"subject": "math:Blackmail_(1973_film)", "predicate": "proves", "object": "blackmail is a 1973 bollywood thriller film directed by vijay anand. the film stars dharmendra, raak"}
{"subject": "math:Roger_Temam", "predicate": "proves", "object": "roger meyer temam  (born 19 may 1940) is a french applied mathematician working in numerical analysi"}
{"subject": "math:David_Elfick", "predicate": "proves", "object": "david elfick (born 20 december 1944) is an australian film and television writer, director, producer"}
{"subject": "math:Proof_of_funds", "predicate": "proves", "object": "a proof of funds (pof) is a document proving that a person or a company has the financial ability to"}
{"subject": "math:Relativistic_heat_conduction", "predicate": "proves", "object": "relativistic heat conduction refers to the modelling of heat conduction (and similar diffusion proce"}
{"subject": "math:Dixmier_trace", "predicate": "proves", "object": "in mathematics, the dixmier trace, introduced by , is a non-normal trace on a space of linear operat"}
{"subject": "math:List_of_things_named_after_Alfred_Tarski", "predicate": "proves", "object": "in the history of mathematics, alfred tarski (1901\u20131983) is one of the most important logicians. his"}
{"subject": "math:Gere_Bank_Building", "predicate": "proves", "object": "the gere bank building is a five-story building located on water street in syracuse, new york.  it w"}
{"subject": "math:Barium_borate", "predicate": "proves", "object": "barium borate is an inorganic compound, a borate of barium with a chemical formula bab2o4 or ba(bo2)"}
{"subject": "math:Ji\u0159\u00ed_Matou\u0161ek_(mathematician)", "predicate": "proves", "object": "ji\u0159\u00ed (jirka) matou\u0161ek (10 march 1963 \u2013 9 march 2015) was a czech mathematician working in computatio"}
{"subject": "math:Kaplansky's_theorem_on_quadratic_forms", "predicate": "proves", "object": "in mathematics, kaplansky's theorem on quadratic forms is a result on simultaneous representation of"}
{"subject": "math:Religious_views_on_same-sex_marriage", "predicate": "proves", "object": "many views are held or have been expressed by religious organisation in relation to same-sex marriag"}
{"subject": "math:Vector_space_model", "predicate": "proves", "object": "vector space model or term vector model is an algebraic model for representing text documents (and a"}
{"subject": "math:Thiocarbonate", "predicate": "proves", "object": "thiocarbonate describes a family of anions with the general chemical formula  (x = 0, 1, or 2):\nfor "}
{"subject": "math:Idiriya", "predicate": "proves", "object": "idiriya is a not-for-profit humanitarian organisation focusing on disability rights based in sri lan"}
{"subject": "math:Roland_Glowinski", "predicate": "proves", "object": "roland glowinski (9 march 1937 \u2013 26 january 2022) was a french-american mathematician. he obtained h"}
{"subject": "math:Trimethylolethane", "predicate": "proves", "object": "trimethylolethane (tme) is the organic compound with the formula ch3c(ch2oh)3. this colorless solid "}
{"subject": "math:\u010cech-to-derived_functor_spectral_sequence", "predicate": "proves", "object": "in algebraic topology, a branch of mathematics, the \u010dech-to-derived functor spectral sequence is a s"}
{"subject": "math:1963_Aintree_200", "predicate": "proves", "object": "the 8th aintree 200 was a motor race, run to formula one rules, held on 27 april 1963 at aintree cir"}
{"subject": "math:Polyvinyl_acetate_phthalate", "predicate": "proves", "object": "polyvinyl acetate phthalate (pvap) is a commonly used polymer phthalate in the formulation of pharma"}
{"subject": "math:Lady_Wigram_Trophy", "predicate": "proves", "object": "the lady wigram trophy is a new zealand motorsport race trophy formerly awarded to the winner of the"}
{"subject": "math:Rob_Smedley", "predicate": "proves", "object": "robert smedley (born 28 november 1973) is a british automotive engineer who works for the formula on"}
{"subject": "math:Fire_Dynamics_Simulator", "predicate": "proves", "object": "fire dynamics simulator (fds) is a computational fluid dynamics (cfd) model of fire-driven fluid flo"}
{"subject": "math:Ethylene_bis(stearamide)", "predicate": "proves", "object": "ethylene bis stearamide (ebs) is an organic compound with the formula (ch2nhc(o)c17h35)2.  it is a w"}
{"subject": "math:McGehee_transformation", "predicate": "proves", "object": "the mcgehee transformation was introduced by richard mcgehee to study the triple collision singulari"}
{"subject": "math:Fisher\u2013Tippett\u2013Gnedenko_theorem", "predicate": "proves", "object": "in statistics, the fisher\u2013tippett\u2013gnedenko theorem (also the fisher\u2013tippett theorem or the extreme v"}
{"subject": "math:1,2-Dihydro-1,2-azaborine", "predicate": "proves", "object": "1,2-dihydro-1,2-azaborine is an aromatic chemical compound with properties intermediate between benz"}
{"subject": "math:1964_Aintree_200", "predicate": "proves", "object": "the 9th aintree 200 was a formula one motor race held on 18 april 1964 at aintree circuit, merseysid"}
{"subject": "math:Octadecanal", "predicate": "proves", "object": "octodecanal is a long-chain aldehyde, with the chemical formula c18h36o (also known as stearyl aldeh"}
{"subject": "math:Collage_theorem", "predicate": "proves", "object": "in mathematics, the collage theorem characterises an iterated function system whose attractor is clo"}
{"subject": "math:ATS_theorem", "predicate": "proves", "object": "in mathematics, the ats theorem is the theorem on the approximation of a\ntrigonometric sum by a shor"}
{"subject": "math:TransMagic", "predicate": "proves", "object": "transmagic is a commercial computer program that converts computer-aided design (cad) files from one"}
{"subject": "math:Canadian_Society_for_Epidemiology_and_Biostatistic", "predicate": "proves", "object": "the canadian society for epidemiology and biostatistics (cseb), or soci\u00e9t\u00e9 canadienne d'\u00e9pid\u00e9miologi"}
{"subject": "math:Trimethylolpropane", "predicate": "proves", "object": "trimethylolpropane (tmp) is the organic compound with the formula ch3ch2c(ch2oh)3. this colourless t"}
{"subject": "math:Bulging_factor", "predicate": "proves", "object": "bulging factor is an engineering term describing the geometry of out-of plane deformations of the su"}
{"subject": "math:2009_Formula_3_Euro_Series", "predicate": "proves", "object": "the 2009 formula 3 euro series season was the seventh championship year of the formula 3 euro series"}
{"subject": "math:2007_BAFL_season", "predicate": "proves", "object": "the 2007 bafl season is the british american football league. britbowl xxi, the league's championshi"}
{"subject": "math:Fredholm_module", "predicate": "proves", "object": "in noncommutative geometry, a fredholm module is a mathematical structure used to quantize the diffe"}
{"subject": "math:Jordan's_inequality", "predicate": "proves", "object": "in mathematics, jordan's inequality, named after camille jordan, states that\n\n \n\nit can be proven th"}
{"subject": "math:CIDAC", "predicate": "proves", "object": "centro de investigacion para el desarrollo a.c. is a non-profit independent think tank devoted to th"}
{"subject": "math:Norman_Zabusky", "predicate": "proves", "object": "norman j. zabusky was an american physicist, who is noted for the discovery of the soliton in the  k"}
{"subject": "math:\u0391-Methylstyrene", "predicate": "proves", "object": "\u03b1-methylstyrene (ams) is an organic compound with the formula c6h5c(ch3)=ch2. it is a colorless oil."}
{"subject": "math:La_Roux", "predicate": "proves", "object": "la roux ( ) is an english synth-pop act formed in 2008 by singer elly jackson and record producer be"}
{"subject": "math:Jorge_Amor_Ameal", "predicate": "proves", "object": "jorge amor ameal (born berazategui, buenos aires, 1948), is an argentine gastronomic entrepreneur, a"}
{"subject": "math:Daniel_Gaunt", "predicate": "proves", "object": "daniel gaunt, born 27 february 1985, in auckland, is a new zealand racing driver. owner of game over"}
{"subject": "math:2008_Australian_Formula_Ford_Championship", "predicate": "proves", "object": "the 2008 australian formula ford championship was a cams sanctioned motor racing title for drivers o"}
{"subject": "math:GP3_Series", "predicate": "proves", "object": "the gp3 series, or gp3 for short, was a single-seater motor racing series launched in 2010 as a feed"}
{"subject": "math:Algebra_Universalis", "predicate": "proves", "object": "algebra universalis is an international scientific journal focused on universal algebra and lattice "}
{"subject": "math:Vanadium(III)_iodide", "predicate": "proves", "object": "vanadium(iii) iodide is the inorganic compound with the formula vi3.  this paramagnetic solid is gen"}
{"subject": "math:Nelson_Dunford", "predicate": "proves", "object": "nelson james dunford (december 12, 1906 \u2013 september 7, 1986) was an american mathematician, known fo"}
{"subject": "math:Waterproof_audio_player", "predicate": "proves", "object": "waterproof audio players are devices capable of storing and playing audio media while being in conta"}
{"subject": "math:1966_South_African_Grand_Prix", "predicate": "proves", "object": "the 1966 south african grand prix, formally titled the 12th international rac grand prix of south af"}
{"subject": "math:Arthur_Milgram", "predicate": "proves", "object": "arthur norton milgram (3 june 1912 \u2013 30 january 1961) was an american mathematician. he made contrib"}
{"subject": "math:Disorder_problem", "predicate": "proves", "object": "in the study of stochastic processes in mathematics, a disorder problem or quickest detection proble"}
{"subject": "math:1950_San_Remo_Grand_Prix", "predicate": "proves", "object": "the 1950 san remo grand prix was a non-championship formula one motor race held on 16 april 1950 at "}
{"subject": "math:Mapping_torus", "predicate": "proves", "object": "in mathematics, the mapping torus in topology of a homeomorphism f of some topological space x to it"}
{"subject": "math:Daniel_Cingolani", "predicate": "proves", "object": "daniel cingolani (born may 28, 1961, in buenos aires province), is an argentine racing driver. he wo"}
{"subject": "math:Gaspare_Mainardi", "predicate": "proves", "object": "gaspare mainardi (june 1800 in abbiategrasso, milan \u2013 9 march 1879 in lecco) was an italian mathemat"}
{"subject": "math:Ralph_Sall", "predicate": "proves", "object": "ralph sall is an american record producer, music supervisor, composer, songwriter and screenwriter. "}
{"subject": "math:Detroit_Grand_Prix", "predicate": "proves", "object": "the title of detroit grand prix (united states grand prix \u2013 east) was applied to the formula one rac"}
{"subject": "math:BulletProof_Messenger", "predicate": "proves", "object": "bulletproof messenger is a rock band from long island, ny.\n\nhistory\n\nformation and early years (2001"}
{"subject": "math:Lithium_tetrachloroaluminate", "predicate": "proves", "object": "lithium tetrachloroaluminate is an inorganic compound with the formula . it consists of lithium cati"}
{"subject": "math:The_Crucial_Line", "predicate": "proves", "object": "the crucial line is the debut album of long island rock band bulletproof messenger and was self rele"}
{"subject": "math:Arm_Yourself", "predicate": "proves", "object": "arm yourself is the second album of long island rock band bulletproof messenger. this album crowdfun"}
{"subject": "math:Brooks'_theorem", "predicate": "proves", "object": "in graph theory, brooks' theorem states a relationship between the maximum degree of a graph and its"}
{"subject": "math:Haefliger_structure", "predicate": "proves", "object": "in mathematics, a haefliger structure on a topological space is a generalization of a foliation of a"}
{"subject": "math:Principal_indecomposable_module", "predicate": "proves", "object": "in mathematics, especially in the area of abstract algebra known as module theory, a principal indec"}
{"subject": "math:1963_Rome_Grand_Prix", "predicate": "proves", "object": "the 15th rome grand prix was a motor race, run to formula one rules, held on 19 may 1963 at the aci "}
{"subject": "math:Emmet_O'Brien", "predicate": "proves", "object": "emmet o'brien (born 7 march 1981, in dublin) is an irish auto racing driver.\n\ncareer\no'brien started"}
{"subject": "math:1963_Imola_Grand_Prix", "predicate": "proves", "object": "the 4th imola grand prix was a motor race, run to formula one rules, held on 21 april 1963 at the au"}
{"subject": "math:Formula_AE", "predicate": "proves", "object": "the formula ae is a solar and wind powered car. the initial startup is by solar power. as the car tr"}
{"subject": "math:Manifold_(magazine)", "predicate": "proves", "object": "manifold was a mathematical magazine published at the university of warwick. it was established in 1"}
{"subject": "math:Secret_sharing_using_the_Chinese_remainder_theorem", "predicate": "proves", "object": "secret sharing consists of recovering a secret s from a set of shares, each containing partial infor"}
{"subject": "math:Iberulite", "predicate": "proves", "object": "iberulites are a particular type of microspherulites (fig. 1) that develop in the atmosphere (tropos"}
{"subject": "math:1962_Lavant_Cup", "predicate": "proves", "object": "the 14th lavant cup was a motor race, run for formula one cars, held on 23 april 1962 at goodwood ci"}
{"subject": "math:Cartan\u2013Eilenberg_resolution", "predicate": "proves", "object": "in homological algebra, the cartan\u2013eilenberg resolution is in a sense, a resolution of a chain compl"}
{"subject": "math:Windell_Middlebrooks", "predicate": "proves", "object": "windell dwain middlebrooks, jr. (january 8, 1979 \u2013 march 9, 2015) was an american actor and singer. "}
{"subject": "math:Volume_of_an_n-ball", "predicate": "proves", "object": "in geometry, a ball is a region in a space comprising all points within a fixed distance, called the"}
{"subject": "math:Fair_Trade_Commission_(Taiwan)", "predicate": "proves", "object": "the fair trade commission (ftc; ) is an independent government agency subordinate to the executive y"}
{"subject": "math:Carath\u00e9odory's_existence_theorem", "predicate": "proves", "object": "in mathematics, carath\u00e9odory's existence theorem says that an ordinary differential equation has a s"}
{"subject": "math:Pandya_theorem", "predicate": "proves", "object": "the pandya theorem is a good illustration of the richness of information forthcoming from a judiciou"}
{"subject": "math:C8H6O", "predicate": "proves", "object": "{{displaytitle:c8h6o}}\nthe molecular formula c8h6o (molar mass: 118.13 g/mol, exact mass: 118.0419 u"}
{"subject": "math:Ultimate_Motorsport", "predicate": "proves", "object": "ultimate motorsport was a british racing team who completed in the british formula 3 championship an"}
{"subject": "math:Franz_Engstler", "predicate": "proves", "object": "franz engstler (born 25 july 1961) is a german auto racing driver.\n\nracing career\n\nborn in kempten i"}
{"subject": "math:Sebasti\u00e1n_Saavedra", "predicate": "proves", "object": "sebasti\u00e1n saavedra (born 2 june 1990) is a colombian racing driver from bogot\u00e1. in 2014, he drove fo"}
{"subject": "math:Magnesium_sulfite", "predicate": "proves", "object": "magnesium sulfite is the magnesium salt of sulfurous acid with the formula . its most common hydrate"}
{"subject": "math:Rota\u2013Baxter_algebra", "predicate": "proves", "object": "in mathematics, a rota\u2013baxter algebra is an associative algebra, together with a particular linear m"}
{"subject": "math:Non-Desarguesian_plane", "predicate": "proves", "object": "in mathematics, a non-desarguesian plane is a projective plane that does not satisfy desargues' theo"}
{"subject": "math:Fibrin_glue", "predicate": "proves", "object": "fibrin glue (also called fibrin sealant) is a surgical formulation used to create a fibrin clot for "}
{"subject": "math:Glen_E._Baxter", "predicate": "proves", "object": "glen earl baxter (march 19, 1930 \u2013 march 30, 1983) was an american mathematician.\n\nbaxter's fields o"}
{"subject": "math:Top_(algebra)", "predicate": "proves", "object": "in the context of a module m over a ring r, the top of m is the largest semisimple quotient module o"}
{"subject": "math:Krull\u2013Schmidt_category", "predicate": "proves", "object": "in category theory, a branch of mathematics, a krull\u2013schmidt category is a generalization of categor"}
{"subject": "math:Krull\u2013Schmidt_theorem", "predicate": "proves", "object": "in mathematics, the krull\u2013schmidt theorem states that a group subjected to certain finiteness condit"}
{"subject": "math:2009_Monaco_Grand_Prix", "predicate": "proves", "object": "the 2009 monaco grand prix (officially the formula 1 grand prix de monaco 2009) was a formula one mo"}
{"subject": "math:Charles_Munnerlyn", "predicate": "proves", "object": "charles munnerlyn (born 1940 in shreveport, la) is an american optical engineer. he constructed the "}
{"subject": "math:Jolyon_Palmer", "predicate": "proves", "object": "jolyon carlyle palmer (born 20 january 1991) is a british motorsport commentator and columnist, cove"}
{"subject": "math:Kenneth_L._Clarkson", "predicate": "proves", "object": "kenneth lee clarkson is an american computer scientist known for his research in computational geome"}
{"subject": "math:McLaren_MP4-24", "predicate": "proves", "object": "the mclaren mp4-24 is a formula one racing car used by mclaren-mercedes during the 2009 formula one "}
{"subject": "math:FRJ", "predicate": "proves", "object": "frj may refer to:\n\n federal republic of yugoslavia (serbian: ), 1992\u20132003\n formula regional japanese"}
{"subject": "math:Renault_R29", "predicate": "proves", "object": "the renault r29 is a formula one racing car designed by the renault f1 team, with which they contest"}
{"subject": "math:C2H5ClO", "predicate": "proves", "object": "{{displaytitle:c2h5clo}}\nthe molecular formula c2h5clo (molar mass: 80.51 g/mol, exact mass: 80.0029"}
{"subject": "math:Toyota_TF109", "predicate": "proves", "object": "the toyota tf109 was a formula one racing car engineered by toyota for the 2009 formula one season. "}
{"subject": "math:Preconditioning_(disambiguation)", "predicate": "proves", "object": "preconditioning is a concept in numerical linear algebra.\n\npreconditioning may also refer to:\n\n prec"}
{"subject": "math:1962_Crystal_Palace_Trophy", "predicate": "proves", "object": "the 13th crystal palace trophy was a motor race, run for formula one cars, held on 11 june 1962 at t"}
{"subject": "math:Event_segment", "predicate": "proves", "object": "a segment of a system variable in computing shows a homogenous status of system dynamics over a time"}
{"subject": "math:Laurent_Cazenave", "predicate": "proves", "object": "laurent cazenave (born 25 april 1978, in pau) is a french auto racing driver. in 1997 he finished th"}
{"subject": "math:Formulas_for_generating_Pythagorean_triples", "predicate": "proves", "object": "besides euclid's formula, many other formulas for generating pythagorean triples have been developed"}
{"subject": "math:1962_International_2000_Guineas", "predicate": "proves", "object": "the 1st international 2000 guineas was a motor race, for formula one cars, held on monday 11 june 19"}
{"subject": "math:Luca_Rangoni", "predicate": "proves", "object": "luca rangoni (born 23 september 1968 in bologna) is an italian auto racing driver. he is a married m"}
{"subject": "math:Conductor-discriminant_formula", "predicate": "proves", "object": "in mathematics, the conductor-discriminant formula or f\u00fchrerdiskriminantenproduktformel, introduced "}
{"subject": "math:Hemendra_Nath_Chatterjee", "predicate": "proves", "object": "hemendra nath chatterjee was an indian scientist from west bengal known for the earliest publication"}
{"subject": "math:Carl_Rosenblad_(racing_driver)", "predicate": "proves", "object": "carl gustav julius \"calle\" rosenblad (born 28 april 1969, in v\u00e4stervik) is a swedish auto racing dri"}
{"subject": "math:Evidence-based_medical_ethics", "predicate": "proves", "object": "evidence-based medical ethics is a form of medical ethics that uses knowledge from ethical principle"}
{"subject": "math:Platinocyanide", "predicate": "proves", "object": "platinocyanide, also known as tetracyanoplatinate (iupac), cyanoplatinate, or platinocyanate, is a p"}
{"subject": "math:Anton_Nebylitskiy", "predicate": "proves", "object": "anton nikitovich nebylitskiy (; born 11 october 1989, in moscow) is a professional racing driver fro"}
{"subject": "math:Williams_FW31", "predicate": "proves", "object": "the williams fw31 was a formula one motor racing car, designed and built by williams f1. the at&t wi"}
{"subject": "math:Bephenium_hydroxynaphthoate", "predicate": "proves", "object": "bephenium hydroxynaphthoate (inn, trade names alcopara, alcopar, befenium, debefenium, francin, neme"}
{"subject": "math:Fentin_acetate", "predicate": "proves", "object": "fentin acetate is an organotin compound with the formula (c6h5)3sno2cch3. it is a colourless solid t"}
{"subject": "math:Patr\u00f3nite", "predicate": "proves", "object": "patronite is the vanadium sulfide mineral with formula vs4.  the material is usually described as v4"}
{"subject": "math:Nordic_Paper", "predicate": "proves", "object": "nordic paper as is a norwegian industrial company, operating in norway and sweden. it was founded in"}
{"subject": "math:Basketane", "predicate": "proves", "object": "basketane is a polycyclic alkane with the chemical formula c10h12. the name is taken from its struct"}
{"subject": "math:Quintus_Servilius_Caepio_(adoptive_father_of_Brutu", "predicate": "proves", "object": "quintus servilius caepio ( 68\u201358 bc) was a roman aristocrat, and the adoptive father of brutus, the "}
{"subject": "math:Zinc_hydride", "predicate": "proves", "object": "zinc hydride is an inorganic compound with the chemical formula . it is a white, odourless solid whi"}
{"subject": "math:Lead(II)_thiocyanate", "predicate": "proves", "object": "lead(ii) thiocyanate is a compound, more precisely a salt, with the formula pb(scn)2. it is a white "}
{"subject": "math:Homogeneous_system", "predicate": "proves", "object": "homogeneous system:\n homogeneous system of linear algebraic equations\n system of homogeneous differe"}
{"subject": "math:Imaginary_hyperelliptic_curve", "predicate": "proves", "object": "a hyperelliptic curve is a particular kind of algebraic curve. \nthere exist hyperelliptic curves of "}
{"subject": "math:List_of_things_named_after_Bernhard_Riemann", "predicate": "proves", "object": "the german mathematician bernhard riemann (1826\u20131866) is the eponym of many things.\n\n\"riemann\" (by f"}
{"subject": "math:Buekenhout_geometry", "predicate": "proves", "object": "in mathematics, a buekenhout geometry or diagram geometry is a generalization of projective spaces, "}
{"subject": "math:Buekenhout", "predicate": "proves", "object": "buekenhout may refer to:\n\n francis buekenhout, a belgian mathematician;\n buekenhout geometry, or bue"}
{"subject": "math:MATHLAB", "predicate": "proves", "object": "mathlab is a computer algebra system created in 1964 by carl engelman at mitre and written in  lisp."}
{"subject": "math:Dilemma_(bivalve)", "predicate": "proves", "object": "dilemma is a genus of marine bivalves of the family poromyidae. the genus is remarkable for encompas"}
{"subject": "math:Ethylmagnesium_bromide", "predicate": "proves", "object": "ethylmagnesium bromide is a grignard reagent with formula c2h5mgbr. it is widely used in the laborat"}
{"subject": "math:Eublemma_rivula", "predicate": "proves", "object": "eublemma rivula is a species of moth of the family erebidae first described by frederic moore in 188"}
{"subject": "math:Five-minute_rule", "predicate": "proves", "object": "in computer science, the five-minute rule is a rule of thumb for deciding whether a data item should"}
{"subject": "math:State_Council_Research_Office", "predicate": "proves", "object": "state council research office () is the administrative office within the state council of the people"}
{"subject": "math:Cylindrical_\u03c3-algebra", "predicate": "proves", "object": "in mathematics \u2014 specifically, in measure theory and functional analysis \u2014 the cylindrical \u03c3-algebra"}
{"subject": "math:1950_Paris_Grand_Prix", "predicate": "proves", "object": "the 1950 paris grand prix was a non-championship formula one motor race held on 30 april 1950 at the"}
{"subject": "math:1950_British_Empire_Trophy", "predicate": "proves", "object": "the 1950 british empire trophy was a non-championship formula one motor race held on 15 june 1950 at"}
{"subject": "math:Blade_(geometry)", "predicate": "proves", "object": "in the study of geometric algebras, a -blade or a simple -vector is a generalization of the concept "}
{"subject": "math:D_electron_count", "predicate": "proves", "object": "the d electron count or number of d electrons is a chemistry formalism used to describe the electron"}
{"subject": "math:1950_Bari_Grand_Prix", "predicate": "proves", "object": "the 1950 bari grand prix was a non-championship formula one motor race held on 9 july 1950 at the lu"}
{"subject": "math:Line_coordinates", "predicate": "proves", "object": "in geometry, line coordinates are used to specify the position of a line just as point coordinates ("}
{"subject": "math:Pyrosulfate", "predicate": "proves", "object": "in chemistry, disulfate or pyrosulfate is the anion with the molecular formula . disulfate is the iu"}
{"subject": "math:Kodaira_surface", "predicate": "proves", "object": "in mathematics, a kodaira surface is a compact complex surface of kodaira dimension 0 and odd first "}
{"subject": "math:Gordon\u2013Newell_theorem", "predicate": "proves", "object": "in queueing theory, a discipline within the mathematical theory of probability, the gordon\u2013newell th"}
{"subject": "math:Arrival_theorem", "predicate": "proves", "object": "in queueing theory, a discipline within the mathematical theory of probability, the arrival theorem "}
{"subject": "math:1976_Australian_Formula_2_Championship", "predicate": "proves", "object": "the 1976 australian formula 2 championship was a cams sanctioned motor racing title for drivers of a"}
{"subject": "math:Covering_problem_of_Rado", "predicate": "proves", "object": "the covering problem of rado is an unsolved problem in geometry concerning covering planar sets by s"}
{"subject": "math:Cassowary_(disambiguation)", "predicate": "proves", "object": "cassowary is a large flightless bird native to australia and new guinea.\n\ncassowary may also refer t"}
{"subject": "math:Capstan_equation", "predicate": "proves", "object": "the capstan equation or belt friction equation, also known as euler-eytelwein formula (after leonhar"}
{"subject": "math:Frankie_Provenzano", "predicate": "proves", "object": "francesco \"frankie\" provenzano (born february 12, 1986 in rome) is an italian racing driver.\n\ncareer"}
{"subject": "math:Taranakite", "predicate": "proves", "object": "taranakite is a hydrated alkali iron-aluminium phosphate mineral with chemical formula . it forms fr"}
{"subject": "math:C10H16", "predicate": "proves", "object": "{{displaytitle:c10h16}}\nthe molecular formula c10h16 (molar mass: 136.24 g/mol) may refer to:\n\n adam"}
{"subject": "math:End_extension", "predicate": "proves", "object": "in model theory and set theory, which are disciplines within mathematics, a model  of some axiom sys"}
{"subject": "math:Hugo_Tetrode", "predicate": "proves", "object": "hugo martin tetrode (7 march 1895, in amsterdam \u2013 18 january 1931, in amstelveen) was a dutch theore"}
{"subject": "math:Hospital_General_de_la_Plaza_de_la_Salud", "predicate": "proves", "object": "hospital general de la plaza de la salud (hgps) is a non-profit entity with self-management in the s"}
{"subject": "math:Aut\u00f3dromo_Internacional_Orlando_Moura", "predicate": "proves", "object": "aut\u00f3dromo internacional de campo grande  is a motorsports circuit located in campo grande, brazil.\nt"}
{"subject": "math:Aut\u00f3dromo_Internacional_de_Tarum\u00e3", "predicate": "proves", "object": "aut\u00f3dromo internacional de tarum\u00e3 is a motorsports circuit located in viam\u00e3o, rio grande do sul, bra"}
{"subject": "math:Autodromo_Internacional_de_Yahuarcocha", "predicate": "proves", "object": "the aut\u00f3dromo internacional jos\u00e9 tobar, formerly known as the autodromo internacional de yahuarcocha"}
{"subject": "math:Lugeon", "predicate": "proves", "object": "a lugeon is a unit devised to quantify the water permeability of bedrock and the hydraulic conductiv"}
{"subject": "math:Krylov\u2013Bogoliubov_averaging_method", "predicate": "proves", "object": "the krylov\u2013bogolyubov averaging method (krylov\u2013bogolyubov method of averaging) is a mathematical met"}
{"subject": "math:2,3,3,3-Tetrafluoropropene", "predicate": "proves", "object": "2,3,3,3-tetrafluoropropene, hfo-1234yf, is a hydrofluoroolefin (hfo) with the formula ch2=cfcf3.\nit "}
{"subject": "math:Ethyl_chloroformate", "predicate": "proves", "object": "ethyl chloroformate is an organic compound with the chemical formula . it is the ethyl ester of chlo"}
{"subject": "math:Surgery_structure_set", "predicate": "proves", "object": "in mathematics, the surgery structure set  is the basic object in the study of manifolds which are h"}
{"subject": "math:Surgery_exact_sequence", "predicate": "proves", "object": "in the mathematical  surgery theory the surgery exact sequence is the main technical tool to calcula"}
{"subject": "math:Normal_invariant", "predicate": "proves", "object": "in mathematics, a normal map is a concept in geometric topology due to william browder which is of f"}
{"subject": "math:George_Palmer_(colour_theorist)", "predicate": "proves", "object": "george palmer ( 1746 \u2013 3 march 1826), also known as george giros de gentilly, named palmer) was an e"}
{"subject": "math:P1_Motorsport", "predicate": "proves", "object": "p1 motorsport is a british racing team based in norfolk, england. they currently compete in the worl"}
{"subject": "math:Chase_H.Q._2", "predicate": "proves", "object": "chase h.q. 2 (\u30c1\u30a7\u30a4\u30b9h.q.2) is a racing video game released in 2007 by taito and developed by gamewax i"}
{"subject": "math:Local_parameter", "predicate": "proves", "object": "in the geometry of complex algebraic curves, a local parameter for a curve c at a smooth point p is "}
{"subject": "math:CRuPAC", "predicate": "proves", "object": "crupac ( ) is an acronym that generally stands for: conclusion, rule, proof, application and conclus"}
{"subject": "math:Assembly_map", "predicate": "proves", "object": "in mathematics, assembly maps are an important concept in geometric topology. from the homotopy-theo"}
{"subject": "math:Foundations_of_geometry", "predicate": "proves", "object": "foundations of geometry is the  study of geometries as axiomatic systems. there are several sets of "}
{"subject": "math:Graph_structure_theorem", "predicate": "proves", "object": "in mathematics, the graph structure theorem is a major result in the area of graph theory.  the resu"}
{"subject": "math:Quintom_scenario", "predicate": "proves", "object": "the quintom scenario (derived from the words quintessence and phantom, as in phantom energy) is a hy"}
{"subject": "math:2009_Formula_Palmer_Audi_season", "predicate": "proves", "object": "the 2009 formula palmer audi season was the twelfth formula palmer audi season. it began on may 2 at"}
{"subject": "math:TV3_Puls", "predicate": "proves", "object": "tv3 puls is television channel broadcasting to denmark. it started broadcasting march 23, 2008.\n\namo"}
{"subject": "math:K-factor_(fire_protection)", "predicate": "proves", "object": "in fire protection engineering, the k-factor formula is used to calculate the volumetric flow rate r"}
{"subject": "math:Dichlorine_hexoxide", "predicate": "proves", "object": "dichlorine hexoxide is the chemical compound with the molecular formula , which is correct for its g"}
{"subject": "math:Restricted_Lie_algebra", "predicate": "proves", "object": "in mathematics, a restricted lie algebra is a lie algebra together with an additional \"p operation.\""}
{"subject": "math:Chlorine_perchlorate", "predicate": "proves", "object": "chlorine perchlorate is a chemical compound with the formula cl2o4.  this chlorine oxide is an asymm"}
{"subject": "math:Toric", "predicate": "proves", "object": "toric may refer to:\n\nmathematics \nrelating to a torus\n toric code\n toric hyperkahler manifold\n toric"}
{"subject": "math:Graphane", "predicate": "proves", "object": "graphane is a two-dimensional polymer of carbon and hydrogen with the formula unit (ch)n where n is "}
{"subject": "math:1962_Reims_Grand_Prix", "predicate": "proves", "object": "the 3rd reims grand prix was a formula one motor race, held on july 1, 1962, at the reims-gueux circ"}
{"subject": "math:List_of_Group_C_sports_cars", "predicate": "proves", "object": "the following are a list of cars which raced under the group c formula.  some chassis may have raced"}
{"subject": "math:Bogoliubov\u2013Parasyuk_theorem", "predicate": "proves", "object": "the bogoliubov\u2013parasyuk theorem in quantum field theory states that renormalized green's functions a"}
{"subject": "math:1950_Jersey_Road_Race", "predicate": "proves", "object": "the 1950 jersey road race was a non-championship formula one motor race held on 9 july 1950 at the s"}
{"subject": "math:Fire_in_the_Night_(1955_film)", "predicate": "proves", "object": "fire in the night () is a 1955 norwegian drama film directed by arne skouen. it was entered into the"}
{"subject": "math:Ekeland's_variational_principle", "predicate": "proves", "object": "in mathematical analysis, ekeland's variational principle, discovered by ivar ekeland, is a theorem "}
{"subject": "math:1961_Lombank_Trophy", "predicate": "proves", "object": "the 2nd lombank trophy was a motor race, run to formula one rules, held on 26 march 1961 at snettert"}
{"subject": "math:1962_Lombank_Trophy", "predicate": "proves", "object": "the 3rd lombank trophy was a motor race, run for cars complying with formula one rules, held on 14 a"}
{"subject": "math:Birth_control_pill_formulations", "predicate": "proves", "object": "birth control pills come in a variety of formulations. the main division is between combined oral co"}
{"subject": "math:Lindeberg's_condition", "predicate": "proves", "object": "in probability theory, lindeberg's condition is a sufficient condition (and under certain conditions"}
{"subject": "math:1963_Lombank_Trophy", "predicate": "proves", "object": "the 4th lombank trophy was a motor race, run to formula one rules, held on 30 march 1963 at snettert"}
{"subject": "math:Alessandro_Balzan", "predicate": "proves", "object": "alessandro balzan (born 17 october 1980 in rovigo) is an italian auto racing driver.\n\nracing career\n"}
{"subject": "math:Pop_Unknown", "predicate": "proves", "object": "pop unknown is an american rock band from austin, texas formed in 1997 \nby ex members of  mineral (g"}
{"subject": "math:Lombank_Trophy", "predicate": "proves", "object": "the lombank trophy was a non-championship formula one race held during the early 1960s at snetterton"}
{"subject": "math:N-group_(category_theory)", "predicate": "proves", "object": "in mathematics, an n-group, or n-dimensional higher group, is a special kind of n-category that gene"}
{"subject": "math:Maserati_Grand_Prix_results", "predicate": "proves", "object": "maserati competed in grand prix racing from 1931 to 1957.\n\ncomplete european championship results\n(k"}
{"subject": "math:Glyceric_acid", "predicate": "proves", "object": "glyceric acid refers to organic compounds with the formula .  it occurs naturally and is classified "}
{"subject": "math:2009_British_Formula_3_International_Series", "predicate": "proves", "object": "the 2009 british formula 3 international series (for sponsorship reasons, the cooper tires british f"}
{"subject": "math:Vincenty", "predicate": "proves", "object": "vincenty may refer to:\n\n thaddeus vincenty (1920-2002), polish-american geodesist\n vincenty's formul"}
{"subject": "math:Manhattan_mobility_model", "predicate": "proves", "object": "the manhattan mobility model is a guide which leads the driver of a vehicle on the correct path. it "}
{"subject": "math:Robinson_v_Harman", "predicate": "proves", "object": "robinson v harman (1848) 1 ex rep 850 is an english contract law case, which is best known for a cla"}
{"subject": "math:Maurizio_Ceresoli", "predicate": "proves", "object": "maurizio ceresoli (born 25 may 1983, in modena) is an italian auto racing driver.\n\nhis first serious"}
{"subject": "math:Panacea_Biotec", "predicate": "proves", "object": "panacea biotec is an indian multinational global generic and specialty pharmaceutical and vaccine ma"}
{"subject": "math:SimFiT", "predicate": "proves", "object": "simfit is a free open-source windows package for simulation, curve fitting, statistics, and plotting"}
{"subject": "math:Initial_value_theorem", "predicate": "proves", "object": "in mathematical analysis, the initial value theorem is a theorem used to relate frequency domain exp"}
{"subject": "math:Racetrack_principle", "predicate": "proves", "object": "in calculus, \nthe racetrack principle describes the movement and growth of two functions in terms of"}
{"subject": "math:Tarski's_high_school_algebra_problem", "predicate": "proves", "object": "in mathematical logic, tarski's high school algebra problem was a question posed by alfred tarski.  "}
{"subject": "math:Diego_Romanini", "predicate": "proves", "object": "diego romanini (born 30 december 1978 in pietrasanta) is an italian auto racing driver. he has compe"}
{"subject": "math:Jennite", "predicate": "proves", "object": "jennite is a calcium silicate hydrate mineral of general chemical formula: ca9si6o18(oh)6\u00b78h2o. \n\nje"}
{"subject": "math:Ackermann", "predicate": "proves", "object": "ackermann may also refer to the following:\nackermann (surname), for many people with this name\nsever"}
{"subject": "math:1964_Daily_Mirror_Trophy", "predicate": "proves", "object": "the 2nd daily mirror trophy was a motor race, run to formula one rules, held on 14 march 1964 at sne"}
{"subject": "math:Sodium_cyclopentadienide", "predicate": "proves", "object": "sodium cyclopentadienide is an organosodium compound with the formula c5h5na. the compound is often "}
{"subject": "math:Secondary_antisemitism", "predicate": "proves", "object": "secondary antisemitism is a distinct form of antisemitism which is said to have appeared after the e"}
{"subject": "math:Double_wedge", "predicate": "proves", "object": "in geometry, a double wedge is the  (closure of) the symmetric difference of two half-spaces whose b"}
{"subject": "math:1966_International_Gold_Cup", "predicate": "proves", "object": "the 13th gold cup was a motor race, run to formula one rules, held on 17 september 1966 at oulton pa"}
{"subject": "math:US_F1_Team", "predicate": "proves", "object": "us f1 team was a proposed formula one team that was granted entry to the 2010 season. however, the t"}
{"subject": "math:Integrally_closed_domain", "predicate": "proves", "object": "in commutative algebra, an integrally closed domain a is an integral domain whose integral closure i"}
{"subject": "math:Proofreading_(biology)", "predicate": "proves", "object": "the term proofreading is used in genetics to refer to the error-correcting processes, first proposed"}
{"subject": "math:1967_Race_of_Champions", "predicate": "proves", "object": "the 2nd race of champions was a non-championship motor race, run to formula one rules, held on 12 ma"}
{"subject": "math:Fujifilm_FinePix", "predicate": "proves", "object": "the fujifilm finepix products are a line of digital cameras produced by fujifilm.  they include comp"}
{"subject": "math:F1_2000_(video_game)", "predicate": "proves", "object": "f1 2000 is a racing video game developed by visual science for the playstation version and image spa"}
{"subject": "math:Hopantenic_acid", "predicate": "proves", "object": "hopantenic acid (homopantothenic acid), also known as n-pantoyl-gaba, is a central nervous system de"}
{"subject": "math:Material_discography", "predicate": "proves", "object": "this is a list of releases by material.\n\nstudio albums\n\nlive albums\n\neps\n\nsingles\n\nremix albums\n\ncom"}
{"subject": "math:1988_Buenos_Aires_Grand_Prix", "predicate": "proves", "object": "1988 buenos aires grand prix may refer to:\n\n1988 buenos aires grand prix (tennis)\n1988 buenos aires "}
{"subject": "math:Alistair_Jackson", "predicate": "proves", "object": "alastair \"ali\" jackson (born 17 november 1988) is a northern irish racing driver.\n\njackson raced in "}
{"subject": "math:Barlow's_formula", "predicate": "proves", "object": "barlow's formula (called \"kesselformel\" in german) relates the internal pressure that a pipe can wit"}
{"subject": "math:Junior_Strous", "predicate": "proves", "object": "junior strous (born 28 april 1986 in vlaardingen) is a dutch racing driver, racing team owner, and e"}
{"subject": "math:1962_Cape_Grand_Prix", "predicate": "proves", "object": "the 5th cape grand prix was a motor race, run to south african formula one-style rules, held on 2 ja"}
{"subject": "math:Graham_Allan", "predicate": "proves", "object": "graham robert allan (1936\u20132007) was an english mathematician, specializing in banach algebras. he wa"}
{"subject": "math:I_Got_the_Feeling_(Today_song)", "predicate": "proves", "object": "i got the feeling is a new jack swing song by motown artists today, written by dr. freeze. the first"}
{"subject": "math:1961_Natal_Grand_Prix", "predicate": "proves", "object": "the 1st natal grand prix was a motor race, run to south african formula one-style rules, held on 17 "}
{"subject": "math:Dani_Clos", "predicate": "proves", "object": "daniel clos \u00e1lvarez (born 23 october 1988) is a spanish former professional racecar driver. in 2012,"}
{"subject": "math:1962_Natal_Grand_Prix", "predicate": "proves", "object": "the 2nd natal grand prix was a motor race, run to south african formula one-style rules, held on 22 "}
{"subject": "math:One_Calvert_Plaza", "predicate": "proves", "object": "one calvert plaza, formerly the continental trust company building,  is a historic 16-story,  skyscr"}
{"subject": "math:Forcing_function_(differential_equations)", "predicate": "proves", "object": "in a system of differential equations used to describe a time-dependent process, a forcing function "}
{"subject": "math:Jonathan_Bomarito", "predicate": "proves", "object": "jonathan bomarito (born january 23, 1982) is an american professional racing driver from monterey, c"}
{"subject": "math:Normal_element", "predicate": "proves", "object": "in mathematics, an element x of a *-algebra is normal if  it satisfies   \n\nthis definition stems fro"}
{"subject": "math:Daniel_Herrington", "predicate": "proves", "object": "daniel herrington (born july 12, 1986) is an american racing driver from baltimore, maryland.\n\nherri"}
{"subject": "math:Murray's_law", "predicate": "proves", "object": "in biophysical fluid dynamics, murray's law is a potential relationship between radii at junctions i"}
{"subject": "math:Red_Bull_RB5", "predicate": "proves", "object": "the red bull rb5 is a formula one racing car designed by the red bull racing team for the 2009 formu"}
{"subject": "math:Axiom_Collection", "predicate": "proves", "object": "axiom collection series of albums are compilations from the axiom record label released between 1991"}
{"subject": "math:William_Ward_Armstrong", "predicate": "proves", "object": "william ward armstrong is a canadian mathematician and computer scientist. he earned his ph.d. from "}
{"subject": "math:Tolyl_group", "predicate": "proves", "object": "in organic chemistry, tolyl groups are functional groups related to toluene.  they have the general "}
{"subject": "math:Conjecture_(textual_criticism)", "predicate": "proves", "object": "conjecture\u2013as in conjectural emendation\u2013is a critical reconstruction of the original reading of a cl"}
{"subject": "math:Riemann\u2013Siegel_formula", "predicate": "proves", "object": "in mathematics, the riemann\u2013siegel formula is an asymptotic formula for the error of the approximate"}
{"subject": "math:Uranyl_carbonate", "predicate": "proves", "object": "uranyl carbonate refers to the inorganic compound with the formula uo2co3. also known by its mineral"}
{"subject": "math:F_(manga)", "predicate": "proves", "object": "f is a japanese manga series written and illustrated by noboru rokuda. it was serialized in shogakuk"}
{"subject": "math:Mark_Easton", "predicate": "proves", "object": "mark richard erskine easton (born 12 march 1959) is the home editor for bbc news broadcasting on nat"}
{"subject": "math:1996_Monaco_Grand_Prix_Formula_Three", "predicate": "proves", "object": "results from the 1996 monaco grand prix formula three held at monte carlo on may 18, 1996, in the ci"}
{"subject": "math:1995_Monaco_Grand_Prix_Formula_Three", "predicate": "proves", "object": "results from the 1995 monaco grand prix formula three held at monte carlo on may 27, 1995, in the ci"}
{"subject": "math:1994_Monaco_Grand_Prix_Formula_Three", "predicate": "proves", "object": "results from the 1994 monaco grand prix formula three held at monte carlo on may 14, 1994, in the ci"}
{"subject": "math:1990_Monaco_Grand_Prix_Formula_Three", "predicate": "proves", "object": "results from the 1990 monaco grand prix formula three held at monte carlo on may 26, 1990, in the ci"}
{"subject": "math:1991_Monaco_Grand_Prix_Formula_Three", "predicate": "proves", "object": "results from the 1991 monaco grand prix formula three held at monte carlo on may 11, 1991, in the ci"}
{"subject": "math:Stephen_Watson_(racing_driver)", "predicate": "proves", "object": "stephen watson (born 18 february 1973 in durban, south africa) is a south african racing driver who "}
{"subject": "math:David_Hunt_(racing_driver)", "predicate": "proves", "object": "david hunt (20 may 1960 \u2013 11 october 2015) was an english racing driver and younger brother of 1976 "}
{"subject": "math:1961_Modena_Grand_Prix", "predicate": "proves", "object": "the 7th modena grand prix was a non-championship motor race, run for cars complying with formula one"}
{"subject": "math:1,2-Cyclohexane_dicarboxylic_acid_diisononyl_ester", "predicate": "proves", "object": "1,2-cyclohexane dicarboxylic acid diisononyl ester (dinch) is a mixture of organic compounds with th"}
{"subject": "math:Dino_Morelli", "predicate": "proves", "object": "dino morelli (born june 6, 1973, ballymoney, county antrim, northern ireland), is a former racing dr"}
{"subject": "math:1982_Monaco_Grand_Prix_Formula_Three", "predicate": "proves", "object": "results from the 1982 monaco grand prix formula three held at monte carlo on may 22, 1982, in the ci"}
{"subject": "math:Kramers'_law", "predicate": "proves", "object": "kramers' law is a formula for the spectral distribution of x-rays produced by an electron hitting a "}
{"subject": "math:Hallucination_Engine", "predicate": "proves", "object": "hallucination engine is a 1994 album by the new york based music group material. the album mixes jaz"}
{"subject": "math:Black_Belly_of_the_Tarantula", "predicate": "proves", "object": "black belly of the tarantula is a 1971 italian giallo film directed by paolo cavara and starring gia"}
{"subject": "math:1981_Monaco_Grand_Prix_Formula_Three", "predicate": "proves", "object": "results from the 1981 monaco grand prix formula three held at monte carlo on may 30, 1981, in the ci"}
{"subject": "math:Luca_Trevisan", "predicate": "proves", "object": "luca trevisan (born 21 july 1971) is an italian professor of computer science at bocconi university "}
{"subject": "math:1980_Monaco_Grand_Prix_Formula_Three", "predicate": "proves", "object": "results from the 1980 monaco grand prix formula three held at monte carlo on may 17, 1980, in the ci"}
{"subject": "math:1989_Monaco_Grand_Prix_Formula_Three", "predicate": "proves", "object": "results from the 1989 monaco grand prix formula three held at monte carlo on may 6, 1989, in the cir"}
{"subject": "math:1987_Monaco_Grand_Prix_Formula_Three", "predicate": "proves", "object": "results from the 1987 monaco grand prix formula three held at monte carlo on may 30, 1987, in the ci"}
{"subject": "math:Jerry_L._Bona", "predicate": "proves", "object": "jerry lloyd bona (born february 5, 1945) is an american mathematician, known for his work in fluid m"}
{"subject": "math:2005_Monaco_Grand_Prix_Formula_Three", "predicate": "proves", "object": "the 2005 monaco grand prix formula three was a support race for the 2005 monaco grand prix held on t"}
{"subject": "math:1961_Flugplatzrennen", "predicate": "proves", "object": "the flugplatzrennen (known alternately as either 3rd flugplatzrennen or 5th flugplatzrennen) was a m"}
{"subject": "math:Pasting_lemma", "predicate": "proves", "object": "in topology, the pasting or gluing lemma, and sometimes the gluing rule, is an important result whic"}
{"subject": "math:Regular_map_(graph_theory)", "predicate": "proves", "object": "in mathematics, a regular map is a symmetric tessellation of a closed surface. more precisely, a reg"}
{"subject": "math:Cellular_approximation_theorem", "predicate": "proves", "object": "in algebraic topology, the cellular approximation theorem states that a map between cw-complexes can"}
{"subject": "math:Philoxenus_(physician)", "predicate": "proves", "object": "philoxenus or claudius philoxenus (), a greco-egyptian surgeon, who, according to celsus, wrote seve"}
{"subject": "math:1997_Monaco_Grand_Prix_Formula_Three", "predicate": "proves", "object": "results from the 1997 monaco grand prix formula three held at monte carlo on may 10, 1997, in the ci"}
{"subject": "math:Morison_equation", "predicate": "proves", "object": "in fluid dynamics the morison equation is a semi-empirical equation for the inline force on a body i"}
{"subject": "math:2,6-Dichlorophenol", "predicate": "proves", "object": "2,6-dichlorophenol is a compound with formula c6h3cl2oh.  it is one of the six isomers of dichloroph"}
{"subject": "math:F1_Championship_Season_2000", "predicate": "proves", "object": "f1 championship season 2000 is a racing video game based on the 2000 formula one season, and was rel"}
{"subject": "math:Perfluoroalkyl_carboxylic_acids", "predicate": "proves", "object": "perfluoroalkyl carboxylic acids (pfcas), or perfluorocarboxylic acids are compounds of the formula c"}
{"subject": "math:Transversal_plane", "predicate": "proves", "object": "in geometry, a transversal plane is a plane that intersects (not contains) two or more lines or plan"}
{"subject": "math:Reduction_formula", "predicate": "proves", "object": "a reduction formula is used to represent some expression in a simpler form. \n\nit may refer to:\n\nmath"}
{"subject": "math:Barrier_cream", "predicate": "proves", "object": "a barrier cream is a topical formulation used in industrial applications and as a cosmetic to place "}
{"subject": "math:Sonneborn_Building", "predicate": "proves", "object": "sonneborn building, also known as paca-pratt building, is a historic loft building in baltimore, mar"}
{"subject": "math:Formula_One_Grand_Prix", "predicate": "proves", "object": "formula one grand prix, f1 grand prix or f1gp may refer to:\n\n formula one grand prix \u2013 for example:\n"}
{"subject": "math:K-factor_(marketing)", "predicate": "proves", "object": "in viral marketing, the k-factor can be used to describe the growth rate of websites, apps, or a cus"}
{"subject": "math:Equidimensionality", "predicate": "proves", "object": "in mathematics, especially in topology, equidimensionality is a property of a space that the local d"}
{"subject": "math:Pixel_connectivity", "predicate": "proves", "object": "in image processing, pixel connectivity is the way in which pixels in 2-dimensional (or hypervoxels "}
{"subject": "math:C._Herschel_Schooley", "predicate": "proves", "object": "c. herschel schooley (september 17, 1900 \u2013 september 1985) was a newspaper editor and public informa"}
{"subject": "math:Jonathan_Legard", "predicate": "proves", "object": "jonathan legard (born 7 july 1961 in cardiff, wales), is a sports journalist, best known as the lead"}
{"subject": "math:Rothmans_50,000", "predicate": "proves", "object": "the rothmans 50,000 was a non-championship motor race held at the brands hatch circuit on 28 august "}
{"subject": "math:Akaike", "predicate": "proves", "object": "is a japanese surname and location name.\n\nakaike may also refer to:\n\nakaike information criterion st"}
{"subject": "math:Chrome_alum", "predicate": "proves", "object": "chrome alum or chromium(iii) potassium sulfate is the potassium double sulfate of chromium. its chem"}
{"subject": "math:Gilbert_Strait", "predicate": "proves", "object": "gilbert strait () is a strait between trinity island and tower island in the palmer archipelago. the"}
{"subject": "math:Dudley's_theorem", "predicate": "proves", "object": "in probability theory, dudley's theorem is a result relating the expected upper bound and regularity"}
{"subject": "math:Javal's_rule", "predicate": "proves", "object": "javal's rule is a mathematical formula used to estimate astigmatism based on keratometry readings. t"}
{"subject": "math:Adidas_Kampung", "predicate": "proves", "object": "adidas kampung is a generic name for cheap black rubber shoes that are usually made in malaysia. the"}
{"subject": "math:Quantity_calculus", "predicate": "proves", "object": "quantity calculus is the formal method for describing the mathematical relations between abstract ph"}
{"subject": "math:Douglas'_lemma", "predicate": "proves", "object": "in operator theory, an area of mathematics, douglas' lemma relates factorization, range inclusion, a"}
{"subject": "math:1949_Italian_Grand_Prix", "predicate": "proves", "object": "the 1949 italian grand prix was a motor race for formula one cars held at monza on 11 september 1949"}
{"subject": "math:Montgomery's_pair_correlation_conjecture", "predicate": "proves", "object": "in mathematics, montgomery's pair correlation conjecture is a conjecture made by  that the pair corr"}
{"subject": "math:Emivirine", "predicate": "proves", "object": "emivirine (mkc-442) is a failed experimental agent for the treatment of hiv.  it is a non-nucleoside"}
{"subject": "math:Biology_Battle", "predicate": "proves", "object": "biology battle is a multidirectional shooter for the xbox 360 and microsoft windows. it is a dual-st"}
{"subject": "math:Marin_\u010colak", "predicate": "proves", "object": "marin \u010dolak (born 4 march 1984 in zagreb) is a croatian auto racing driver.\n\ncareer\n\nearly years\nhe "}
{"subject": "math:Taka_Aono", "predicate": "proves", "object": "taka aono is a japanese drift driver currently (as of february 2009) competing in the american formu"}
{"subject": "math:Indistinguishability_quotient", "predicate": "proves", "object": "in combinatorial game theory, and particularly in the theory of impartial games in mis\u00e8re play, an i"}
{"subject": "math:Doug_Whiteford", "predicate": "proves", "object": "doug whiteford was an australian racing driver.\n\nwhiteford raced from the mid-1930s through to 1975 "}
{"subject": "math:Multiplicatively_closed_set", "predicate": "proves", "object": "in abstract algebra, a multiplicatively closed set (or multiplicative set) is a subset s of a ring r"}
{"subject": "math:British_Indian_passport", "predicate": "proves", "object": "the british indian passport was a passport, proof of national status and travel document issued to b"}
{"subject": "math:Constituent_Assembly_of_Jammu_and_Kashmir", "predicate": "proves", "object": "constituent assembly of jammu and kashmir was a body of representatives elected in 1951 to formulate"}
{"subject": "math:Ancylite", "predicate": "proves", "object": "ancylite is a group of hydrous strontium carbonate minerals containing cerium, lanthanum and minor a"}
{"subject": "math:Hartogs's_extension_theorem", "predicate": "proves", "object": "in the theory of functions of several complex variables, hartogs's extension theorem is a statement "}
{"subject": "math:Behnke\u2013Stein_theorem", "predicate": "proves", "object": "in mathematics, especially several complex variables, the behnke\u2013stein theorem states that a union o"}
{"subject": "math:Verbal_subgroup", "predicate": "proves", "object": "in mathematics, in the area of abstract algebra known as group theory, a verbal subgroup is a subgro"}
{"subject": "math:2009_Magny-Cours_Superleague_Formula_round", "predicate": "proves", "object": "the 2009 magny-cours superleague formula round was the opening round of the 2009 superleague formula"}
{"subject": "math:Aanderaa\u2013Karp\u2013Rosenberg_conjecture", "predicate": "proves", "object": "in theoretical computer science, the aanderaa\u2013karp\u2013rosenberg conjecture (also known as the aanderaa\u2013"}
{"subject": "math:Wanted_Down_Under", "predicate": "proves", "object": "wanted down under is a bbc one morning television series, which has been running since 2007.  the pr"}
{"subject": "math:Victory_Team", "predicate": "proves", "object": "victory team is a government-owned offshore powerboat racing team and builder from the united arab e"}
{"subject": "math:Napkin_ring_problem", "predicate": "proves", "object": "in geometry, the napkin-ring problem involves finding the volume of a \"band\" of specified height aro"}
{"subject": "math:Cavalieri's_principle", "predicate": "proves", "object": "in geometry, cavalieri's principle, a modern implementation of the method of indivisibles, named aft"}
{"subject": "math:Crepant_resolution", "predicate": "proves", "object": "in algebraic geometry, a crepant resolution  of a singularity is a resolution that does not affect t"}
{"subject": "math:Depressor_weight", "predicate": "proves", "object": "a depressor weight is a device used on tow lines in nautical applications. a depressor weight can be"}
{"subject": "math:Dennis_Leech", "predicate": "proves", "object": "dennis leech (born 6 april 1943 in sidmouth) is a british former racing driver. most of his racing c"}
{"subject": "math:Graph_algebra", "predicate": "proves", "object": "in mathematics, especially in the fields of universal algebra and graph theory, a graph algebra is a"}
{"subject": "math:Laves_phase", "predicate": "proves", "object": "laves phases are intermetallic phases that have composition ab2 and are named for fritz laves who fi"}
{"subject": "math:Ken_Anderson_(motorsport)", "predicate": "proves", "object": "ken anderson is an american motorsport engineer, operating over the course of his career in motocros"}
{"subject": "math:Time-dependent_neutronics_and_temperatures", "predicate": "proves", "object": "time-dependent neutronics and temperatures (tinte) is a two-group diffusion code for the study of nu"}
{"subject": "math:Allyl_methyl_sulfide", "predicate": "proves", "object": "allyl methyl sulfide is an organosulfur compound with the chemical formula ch2=chch2sch3. the molecu"}
{"subject": "math:Bizarre_Bunch", "predicate": "proves", "object": "bizarre bunch () is a south korean television series. the series is also known in english as peculia"}
{"subject": "math:March_2009_in_sports", "predicate": "proves", "object": "\n\ndeaths in march\n\ncurrent sporting seasons\n\naustralian rules football 2009\n\naustralian football lea"}
{"subject": "math:Ganea", "predicate": "proves", "object": "ganea may refer to:\n\npeople\ncristian ganea (born 1992), romanian football striker\nionel ganea (born "}
{"subject": "math:Theorem_of_Bertini", "predicate": "proves", "object": "in mathematics, the theorem of bertini is an existence and genericity theorem for smooth connected h"}
{"subject": "math:Vadim_G._Vizing", "predicate": "proves", "object": "vadim georgievich vizing (, ; 25 march 1937 \u2013 23 august 2017) was a soviet and ukrainian mathematici"}
{"subject": "math:Force_India_VJM02", "predicate": "proves", "object": "the force india vjm02 was force india's formula one car for the 2009 formula one season. it was reve"}
{"subject": "math:006_(disambiguation)", "predicate": "proves", "object": "006 is the code name of alec trevelyan, a villain in the james bond film goldeneye.\n\n006 may also re"}
{"subject": "math:Formula_Racing_Development", "predicate": "proves", "object": "formula racing development limited or frd motorsports (frd) is a motorsport promoter headquartered i"}
{"subject": "math:1941_Rio_de_Janeiro_Grand_Prix", "predicate": "proves", "object": "the 1941 rio de janeiro grand prix was a formula libre motor race held at g\u00e1vea on 28 september 1941"}
{"subject": "math:Carter_constant", "predicate": "proves", "object": "the carter constant is a conserved quantity for motion around black holes in the general relativisti"}
{"subject": "math:Tim_Sugden", "predicate": "proves", "object": "timothy philip sugden (born 26 april 1964, in bradford) is a british racing driver. he is both drive"}
{"subject": "math:Michael_Catt", "predicate": "proves", "object": "michael cameron catt (december 25, 1952 \u2013 june 12, 2023) was an american film producer, author, and "}
{"subject": "math:Alvin_Plantinga's_free-will_defense", "predicate": "proves", "object": "alvin plantinga's free-will defense is a logical argument developed by the american analytic philoso"}
{"subject": "math:Sigma_18\u201350mm_f/2.8_EX_DC_Macro_lens", "predicate": "proves", "object": "the sigma 18-50mm 2.8 ex dc macro is a wide to normal angle, zoom lens made by the sigma corporation"}
{"subject": "math:Tim_Slade", "predicate": "proves", "object": "tim slade (born 3 august 1985) is an australian racing driver who competes in the repco supercars ch"}
{"subject": "math:Friedman_translation", "predicate": "proves", "object": "in mathematical logic, the friedman translation is a certain transformation of intuitionistic formul"}
{"subject": "math:Ayta\u00e7_Biter", "predicate": "proves", "object": "ayta\u00e7 biter (born 5 november 1965 in ankara, turkey) is a turkish auto racing driver.\n\nhe competed i"}
{"subject": "math:Generalized_Timing_Formula", "predicate": "proves", "object": "generalized timing formula is a standard by vesa which defines exact parameters of the component vid"}
{"subject": "math:Cetomacrogol_1000", "predicate": "proves", "object": "cetomacrogol 1000 is the tradename for polyethylene glycol hexadecyl ether, which is nonionic surfac"}
{"subject": "math:Interpolation_theorem", "predicate": "proves", "object": "interpolation theorem may refer to:\n\ncraig interpolation in logic\nmarcinkiewicz interpolation theore"}
{"subject": "math:8-Azaguanine", "predicate": "proves", "object": "8-azaguanine is a purine analog with the chemical formula c4h4n6o. it has been widely studied for it"}
{"subject": "math:Sebastian_Hohenthal", "predicate": "proves", "object": "sebastian hohenthal (born 5 november 1984 in mora) is a former racing driver from sweden.\n\ncareer\n\nk"}
{"subject": "math:Geoffrey_K._Martin", "predicate": "proves", "object": "geoffrey k. martin is a mathematician currently advising in the field of mathematical physics.  mart"}
{"subject": "math:Checkpointing_scheme", "predicate": "proves", "object": "checkpointing schemes are scientific computing algorithms used in solving time dependent adjoint equ"}
{"subject": "math:Federico_Leo", "predicate": "proves", "object": "federico leo (born august 27, 1988, in varese) is an italian racing driver.\n\ncareer\n\nformula junior\n"}
{"subject": "math:Adjoint_equation", "predicate": "proves", "object": "an adjoint equation is a linear differential equation, usually derived from its primal equation usin"}
{"subject": "math:Tychonoff's_theorem_(disambiguation)", "predicate": "proves", "object": "tikhonov's theorem or tychonoff's theorem can refer to any of several mathematical theorems named af"}
{"subject": "math:Vienna_Series_in_Theoretical_Biology", "predicate": "proves", "object": "the vienna series in theoretical biology is a book series published by mit press and devoted to adva"}
{"subject": "math:Lourens_Baas_Becking", "predicate": "proves", "object": "lourens gerhard marinus baas becking (4 january 1895 in deventer \u2013 6 january 1963 in canberra, austr"}
{"subject": "math:Mean_percentage_error", "predicate": "proves", "object": "in statistics, the mean percentage error (mpe) is the computed average of percentage errors by which"}
{"subject": "math:Valery_Goppa", "predicate": "proves", "object": "valery denisovich goppa (; born 1939) is a soviet and russian mathematician.\n\nhe discovered a relati"}
{"subject": "math:Alex_Brundle", "predicate": "proves", "object": "alexander brundle (born 7 august 1990) is a british racing driver and broadcaster. he was the 2016 e"}
{"subject": "math:Pantelides_algorithm", "predicate": "proves", "object": "pantelides algorithm in mathematics is a systematic method for reducing high-index systems of differ"}
{"subject": "math:Tobias_Hegewald", "predicate": "proves", "object": "tobias hegewald (born 3 august 1989 in neuwied) is a german racing driver.\n\ncareer\n\nkarting\nhegewald"}
{"subject": "math:Sergey_Mokshantsev", "predicate": "proves", "object": "sergey mokshantsev (born 22 january 1978) is a russian racing driver from moscow. after karting, he "}
{"subject": "math:Ken_Bevel", "predicate": "proves", "object": "ken bevel is a former american marine corps officer, pastor and actor who co-starred in the 2008 fil"}
{"subject": "math:Leopoldt's_conjecture", "predicate": "proves", "object": "in algebraic number theory, leopoldt's conjecture, introduced by  , states that the p-adic regulator"}
{"subject": "math:Quadratic_integer", "predicate": "proves", "object": "in number theory, quadratic integers are a generalization of the usual integers to quadratic fields."}
{"subject": "math:Brawn_GP", "predicate": "proves", "object": "brawn gp was a formula one constructor which competed in the 2009 formula one world championship, wi"}
{"subject": "math:Runge\u2013Gross_theorem", "predicate": "proves", "object": "in quantum mechanics, specifically time-dependent density functional theory, the runge\u2013gross theorem"}
{"subject": "math:1980_Australian_Formula_2_Championship", "predicate": "proves", "object": "the 1980 australian formula 2 championship was a cams sanctioned motor sport title for drivers of ca"}
{"subject": "math:N-Acetylanthranilic_acid", "predicate": "proves", "object": "n-acetylanthranilic acid is an organic compound with the molecular formula c9h9no3. it is an interme"}
{"subject": "math:Ambrogio_Frangiolli", "predicate": "proves", "object": "ambrogio frangiolli (milan, 1798\u20131870) was an italian decorator, architect and painter.\n\nhe studied "}
{"subject": "math:The_Best_of_the_Private_Years", "predicate": "proves", "object": "the best of the private years is an album by american blues artist taj mahal, which was released in "}
{"subject": "math:Brawn_BGP_001", "predicate": "proves", "object": "the brawn bgp 001 (originally known as the honda ra109) is a formula one world championship winning "}
{"subject": "math:List_of_past_ESPN_personalities", "predicate": "proves", "object": "\n\nanalysts\nbill adam: (auto racing coverage)\ntrev alberts: college game day\njames allen: (formula on"}
{"subject": "math:I-mate_810-F", "predicate": "proves", "object": "the i-mate 810-f is quad-band internet-enabled windows mobile smartphone. its name comes from the us"}
{"subject": "math:The_Prisoner_(2009_miniseries)", "predicate": "proves", "object": "the prisoner is a 2009 six-part television miniseries based on the 1960s tv series the prisoner. the"}
{"subject": "math:Pietro_Gandolfi", "predicate": "proves", "object": "pietro gandolfi (born april 21, 1987 in parma) is an italian racing driver.\n\ncareer\n\nformula renault"}
{"subject": "math:2009_Malaysian_Grand_Prix", "predicate": "proves", "object": "the 2009 malaysian grand prix (formally the 2009 formula 1 petronas malaysian grand prix) was a form"}
{"subject": "math:Shannon_Racing", "predicate": "proves", "object": "shannon racing, or the shannon racing team, was a short-lived motorsport team that was briefly invol"}
{"subject": "math:Hadwiger_conjecture_(combinatorial_geometry)", "predicate": "proves", "object": "in combinatorial geometry, the hadwiger conjecture states that any convex body in n-dimensional eucl"}
{"subject": "math:Lune_of_Hippocrates", "predicate": "proves", "object": "in geometry, the lune of hippocrates, named after hippocrates of chios, is a lune bounded by arcs of"}
{"subject": "math:Clinical_formulation", "predicate": "proves", "object": "a clinical formulation, also known as case formulation and problem formulation, is a theoretically-b"}
{"subject": "math:Higher-dimensional_supergravity", "predicate": "proves", "object": "higher-dimensional supergravity is the supersymmetric generalization of general relativity in higher"}
{"subject": "math:Nicola_de_Marco", "predicate": "proves", "object": "nicola de marco (born august 28, 1990 in pordenone) is an italian racing driver.\n\ncareer\n\nformula az"}
{"subject": "math:2004_Australian_Formula_Ford_Championship", "predicate": "proves", "object": "the 2004 australian formula ford championship was an australian motor racing competition open to for"}
{"subject": "math:Potassium_tetraperoxochromate(V)", "predicate": "proves", "object": "potassium peroxochromate, potassium tetraperoxochromate(v), or simply potassium perchromate, is an i"}
{"subject": "math:Mahler_volume", "predicate": "proves", "object": "in convex geometry, the mahler volume of a centrally symmetric convex body is a dimensionless quanti"}
{"subject": "math:Ax\u2013Grothendieck_theorem", "predicate": "proves", "object": "in mathematics, the ax\u2013grothendieck theorem is a result about injectivity and surjectivity of polyno"}
{"subject": "math:2009_NCAA_Division_I_FBS_football_rankings", "predicate": "proves", "object": "three human polls and one formula ranking make up the 2009 ncaa division i fbs (football bowl subdiv"}
{"subject": "math:Tert-Butyldiphenylsilyl", "predicate": "proves", "object": "tert-butyldiphenylsilyl, also known as tbdps, is a protecting group for alcohols.  its formula is c1"}
{"subject": "math:Self-microemulsifying_drug_delivery_system", "predicate": "proves", "object": "a self-microemulsifying drug delivery system (smedds) is a drug delivery system that uses a microemu"}
{"subject": "math:Inoue_surface", "predicate": "proves", "object": "in complex geometry, an inoue surface is any of several complex surfaces of kodaira class vii. they "}
{"subject": "math:Dyson's_transform", "predicate": "proves", "object": "dyson's transform is a fundamental technique in additive number theory. it was developed by freeman "}
{"subject": "math:Stiffness_matrix", "predicate": "proves", "object": "in the finite element method for the numerical solution of elliptic partial differential equations, "}
{"subject": "math:Toro_Rosso_STR4", "predicate": "proves", "object": "the toro rosso str4 was a formula one car which scuderia toro rosso used in the 2009 formula one sea"}
{"subject": "math:Multilinear_polynomial", "predicate": "proves", "object": "in algebra, a multilinear polynomial is a multivariate polynomial that is linear (meaning affine) in"}
{"subject": "math:1,3,5-Trinitrobenzene", "predicate": "proves", "object": "1,3,5-trinitrobenzene is an organic compound with the formula c6h3(no2)3. it is one of three trinitr"}
{"subject": "math:Hexanitrodiphenylamine", "predicate": "proves", "object": "hexanitrodiphenylamine (abbreviated hnd), is an explosive chemical compound with the formula c12h5n7"}
{"subject": "math:Logarithmic_differentiation", "predicate": "proves", "object": "in calculus, logarithmic differentiation  or differentiation by taking logarithms is a method used t"}
{"subject": "math:Peter_Randall-Page", "predicate": "proves", "object": "peter randall-page ra (born 1954) is a british artist and sculptor, known for his stone sculpture wo"}
{"subject": "math:Calcium_permanganate", "predicate": "proves", "object": "calcium permanganate is an oxidizing agent and chemical compound with the chemical formula ca(mno4)2"}
{"subject": "math:Mian_Muhibullah_Kakakhel", "predicate": "proves", "object": "mian muhibullah kakakhel is a pakistani lawyer and senior advocate of the supreme court of pakistan "}
{"subject": "math:Danny_Calegari", "predicate": "proves", "object": "danny matthew cornelius calegari  is a mathematician and, , a professor of mathematics at the univer"}
{"subject": "math:Cartan\u2013Brauer\u2013Hua_theorem", "predicate": "proves", "object": "in abstract algebra, the cartan\u2013brauer\u2013hua theorem (named after richard brauer, \u00e9lie cartan, and hua"}
{"subject": "math:Potassium_hexanitritocobaltate(III)", "predicate": "proves", "object": "potassium hexanitritocobaltate(iii) is a salt with the formula k3[co(no2)6].  it is a yellow solid t"}
{"subject": "math:Wilkinson_matrix", "predicate": "proves", "object": "in linear algebra, wilkinson matrices are symmetric, tridiagonal, order-n matrices with pairs of nea"}
{"subject": "math:European_Formula_Two_Championship", "predicate": "proves", "object": "the european formula two championship was a formula two motor racing series that was held between 19"}
{"subject": "math:Teichm\u00fcller\u2013Tukey_lemma", "predicate": "proves", "object": "in mathematics, the teichm\u00fcller\u2013tukey lemma (sometimes named just tukey's lemma), named after john t"}
{"subject": "math:3-Hexyne", "predicate": "proves", "object": "3-hexyne is the organic compound with the formula c2h5ccc2h5. this colorless liquid is one of three "}
{"subject": "math:Local_Fields", "predicate": "proves", "object": "corps locaux by jean-pierre serre, originally published in 1962 and translated into english as local"}
{"subject": "math:LG_GD910", "predicate": "proves", "object": "the lg-gd910 is a 3g watch phone that has a touchscreen and video calling capabilities; manufacturer"}
{"subject": "math:Wiles's_proof_of_Fermat's_Last_Theorem", "predicate": "proves", "object": "wiles's proof of fermat's last theorem is a proof by british mathematician andrew wiles of a special"}
{"subject": "math:2009_Chinese_Grand_Prix", "predicate": "proves", "object": "the 2009 chinese grand prix (formally the 2009 formula 1 chinese grand prix) was a formula one motor"}
{"subject": "math:2009_Bahrain_Grand_Prix", "predicate": "proves", "object": "the 2009 bahrain grand prix (formally the 2009 formula 1 gulf air bahrain grand prix) was a formula "}
{"subject": "math:2009_Brazilian_Grand_Prix", "predicate": "proves", "object": "the 2009 brazilian grand prix (formally the formula 1 grande pr\u00eamio petrobras do brasil 2009) was a "}
{"subject": "math:Hammersley\u2013Clifford_theorem", "predicate": "proves", "object": "the hammersley\u2013clifford theorem is a result in probability theory, mathematical statistics and stati"}
{"subject": "math:Faradaic_current", "predicate": "proves", "object": "in electrochemistry, the faradaic current is the electric current generated by the reduction or oxid"}
{"subject": "math:(g,K)-module", "predicate": "proves", "object": "in mathematics, more specifically in the representation theory of reductive lie groups, a -module is"}
{"subject": "math:Hexyne", "predicate": "proves", "object": "the hexynes are a subgroup from the group of alkynes. it consists of several isomeric compounds havi"}
{"subject": "math:Law_of_the_unconscious_statistician", "predicate": "proves", "object": "in probability theory and statistics, the law of the unconscious statistician, or lotus, is a theore"}
{"subject": "math:Hilbram_Dunar", "predicate": "proves", "object": "hilbram dunar (born 30 october 1975) is television presenter, radio broadcaster, book author, public"}
{"subject": "math:Steve_Nichols", "predicate": "proves", "object": "stephen anderson nichols (born 20 february 1947 in salt lake city, utah) is an american engineer who"}
{"subject": "math:Jurkat\u2013Richert_theorem", "predicate": "proves", "object": "the jurkat\u2013richert theorem is a mathematical theorem in sieve theory. it is a key ingredient in proo"}
{"subject": "math:Fredy_Lienhard", "predicate": "proves", "object": "fredy lienhard, sr. (born 14 september 1947 in herisau) is a swiss racing driver. \n\nin 1968 lienhard"}
{"subject": "math:Balance_equation", "predicate": "proves", "object": "in probability theory, a balance equation is an equation that describes the probability flux associa"}
{"subject": "math:Relatively_hyperbolic_group", "predicate": "proves", "object": "in mathematics, the concept of a relatively hyperbolic group is an important generalization of  the "}
{"subject": "math:Ernie_de_Vos", "predicate": "proves", "object": "ernest nathan de vos (1 july 1941 in the hague, netherlands\u00a0\u2013 5 march 2005 in st. petersburg, florid"}
{"subject": "math:John_William_Warde", "predicate": "proves", "object": "john william warde was a 26-year-old american bank clerk from southampton, new york, who committed s"}
{"subject": "math:Gingival_disease", "predicate": "proves", "object": "a gingival disease is the term given to any disorder primarily affecting the gingiva. an example is "}
{"subject": "math:Rappers_Delight_Club", "predicate": "proves", "object": "the rappers delight club was a rotating group of american elementary and middle school rappers from "}
{"subject": "math:Math_55", "predicate": "proves", "object": "math 55 is a two-semester long freshman undergraduate mathematics course at harvard university found"}
{"subject": "math:Dominique_Dupuy", "predicate": "proves", "object": "dominique dupuy (born 26 august 1957) is a french racing driver.\n\ndupuy began racing professionally "}
{"subject": "math:Dilemma_inexpectatum", "predicate": "proves", "object": "dilemma inexpectatum is a minute species of deepwater cockle, a marine bivalve mollusc in the family"}
{"subject": "math:Ray_Mallock", "predicate": "proves", "object": "anthony raymond mallock (born 12 april 1951 in barton on sea) is a british former racing driver.\n\nhe"}
{"subject": "math:Palazzo_Grimani_di_Santa_Maria_Formosa", "predicate": "proves", "object": "{\n  \"type\": \"featurecollection\",\n  \"features\": [\n    {\n      \"type\": \"feature\",\n      \"properties\": "}
{"subject": "math:Symmetry_(disambiguation)", "predicate": "proves", "object": "symmetry may refer to:\n\ngenerally:\nsymmetry, the broad concept\n\nin mathematics, science and technolo"}
{"subject": "math:Graph_equation", "predicate": "proves", "object": "in graph theory, graph equations are equations in which the unknowns are graphs. one of the central "}
{"subject": "math:Romanorum", "predicate": "proves", "object": "romanorum may refer to :\n\nthe corpus agrimensorum romanorum, a roman treatise on land surveying. \nli"}
{"subject": "math:John_J._Britt", "predicate": "proves", "object": "john j. britt was a member (and president between 1953\u201354) of the collectors club of new york. he wa"}
{"subject": "math:Potato_peeling", "predicate": "proves", "object": "in computational geometry, the potato peeling or convex skull problem is a problem of finding the co"}
{"subject": "math:Proof_of_Age_Card", "predicate": "proves", "object": "proof of age card may refer to:\n\naustralian state and territory issued identity photo cards\nqueensla"}
{"subject": "math:Boolean_model_(probability_theory)", "predicate": "proves", "object": "for statistics in probability theory, the boolean-poisson model  or simply boolean model for a rando"}
{"subject": "math:Between_Scylla_and_Charybdis", "predicate": "proves", "object": "being between scylla and charybdis is an idiom deriving from greek mythology, which has been associa"}
{"subject": "math:Bromine_dioxide", "predicate": "proves", "object": "bromine dioxide is the chemical compound composed of bromine and oxygen with the formula bro2. it fo"}
{"subject": "math:Tevian_Dray", "predicate": "proves", "object": "tevian dray (born march 17, 1956) is an american mathematician\nwho has worked in general relativity,"}
{"subject": "math:Neodymium(III)_oxide", "predicate": "proves", "object": "neodymium(iii) oxide or neodymium sesquioxide is the chemical compound composed of neodymium and oxy"}
{"subject": "math:Paradox_of_analysis", "predicate": "proves", "object": "the paradox of analysis (or langford\u2013moore paradox) is a paradox that concerns how an analysis can b"}
{"subject": "math:2009_Spanish_Grand_Prix", "predicate": "proves", "object": "the 2009 spanish grand prix (officially the formula 1 gran premio de espa\u00f1a telef\u00f3nica 2009) was a f"}
{"subject": "math:Stochastic_geometry", "predicate": "proves", "object": "in mathematics, stochastic geometry is the study of random spatial patterns. at the heart of the sub"}
{"subject": "math:Tur\u00e1n's_brick_factory_problem", "predicate": "proves", "object": "in the mathematics of graph drawing, tur\u00e1n's brick factory problem asks for the minimum number of cr"}
{"subject": "math:Neptunium(IV)_oxide", "predicate": "proves", "object": "neptunium(iv) oxide, or neptunium dioxide, is a radioactive, olive green cubic crystalline solid wit"}
{"subject": "math:Praseodymium(III)_oxide", "predicate": "proves", "object": "praseodymium(iii) oxide, praseodymium oxide or praseodymia is the chemical compound composed of pras"}
{"subject": "math:122_iron_arsenide", "predicate": "proves", "object": "the 122 iron arsenide unconventional superconductors are part of a new class of iron-based supercond"}
{"subject": "math:Wright_Karts", "predicate": "proves", "object": "swrd ltd / wright karts is an english company founded by simon wright in 1978, manufacturing and rac"}
{"subject": "math:Pierce\u2013Birkhoff_conjecture", "predicate": "proves", "object": "in abstract algebra, the pierce\u2013birkhoff conjecture asserts that any piecewise-polynomial function c"}
{"subject": "math:Smoothed_octagon", "predicate": "proves", "object": "the smoothed octagon is a region in the plane found by karl reinhardt in 1934 and conjectured by him"}
{"subject": "math:Magnus_expansion", "predicate": "proves", "object": "in mathematics and physics, the magnus expansion, named after wilhelm magnus (1907\u20131990), provides a"}
{"subject": "math:Wockhardt", "predicate": "proves", "object": "wockhardt is a global pharmaceutical and biotechnology company headquartered in mumbai, india. it pr"}
{"subject": "math:Capelli's_identity", "predicate": "proves", "object": "in mathematics, capelli's identity, named after , is an analogue of the formula det(ab)\u00a0=\u00a0det(a)\u00a0det"}
{"subject": "math:Cyclohexanehexone", "predicate": "proves", "object": "cyclohexanehexone, also known as hexaketocyclohexane and triquinoyl, is an organic compound with for"}
{"subject": "math:Cyclopentanepentone", "predicate": "proves", "object": "cyclopentanepentone, also known as leuconic acid, is a hypothetical organic compound with formula c5"}
{"subject": "math:Tricomi", "predicate": "proves", "object": "tricomi may refer to:\n\n31189 tricomi (1997 yz7) tricomi (asteroid 31189), main-belt asteroid\nbartolo"}
{"subject": "math:Karl_Stumpff", "predicate": "proves", "object": "karl johann nikolaus stumpff (may 17, 1895 \u2013 november 10, 1970) was a german astronomer. the stumpff"}
{"subject": "math:Cubic_field", "predicate": "proves", "object": "in mathematics, specifically the area of algebraic number theory, a cubic field is an algebraic numb"}
{"subject": "math:Scott's_trick", "predicate": "proves", "object": "in set theory, scott's trick is a method for giving a definition of equivalence classes for equivale"}
{"subject": "math:Mirko_Bortolotti", "predicate": "proves", "object": "mirko bortolotti (born 10 january 1990) is an italian racing driver from trento. he has won the ital"}
{"subject": "math:Erich_Kamke", "predicate": "proves", "object": "erich kamke (18 august 1890 \u2013 28 september 1961) was a german mathematician, who specialized in the "}
{"subject": "math:Yvonne_Choquet-Bruhat", "predicate": "proves", "object": "yvonne choquet-bruhat (; born 29 december 1923) is a french mathematician and physicist. she has mad"}
{"subject": "math:Maier's_theorem", "predicate": "proves", "object": "in number theory, maier's theorem  is a theorem about the numbers of primes in short intervals for w"}
{"subject": "math:Dodecahydroxycyclohexane", "predicate": "proves", "object": "dodecahydroxycyclohexane is an organic compound with molecular formula  or  or . it is a sixfold gem"}
{"subject": "math:Polyakov_formula", "predicate": "proves", "object": "in differential geometry and mathematical physics (especially string theory), the polyakov formula e"}
{"subject": "math:Decahydroxycyclopentane", "predicate": "proves", "object": "decahydroxycyclopentane is an organic compound with formula  or . it is a fivefold geminal diol on a"}
{"subject": "math:Main_conjecture_of_Iwasawa_theory", "predicate": "proves", "object": "in mathematics, the main conjecture of iwasawa theory is a deep relationship between p-adic l-functi"}
{"subject": "math:Weierstrass\u2013Erdmann_condition", "predicate": "proves", "object": "the weierstrass\u2013erdmann condition is a mathematical result from the calculus of variations, which sp"}
{"subject": "math:2-Bromobutane", "predicate": "proves", "object": "2-bromobutane is an isomer of 1-bromobutane.  both compounds share the molecular formula c4h9br.  2-"}
{"subject": "math:Motivic_zeta_function", "predicate": "proves", "object": "in algebraic geometry, the motivic zeta function of a smooth algebraic variety  is the formal power "}
{"subject": "math:2-Methyl-2-butene", "predicate": "proves", "object": "2-methyl-2-butene, 2m2b, 2-methylbut-2-ene, also beta-isoamylene is an alkene hydrocarbon with the m"}
{"subject": "math:Ethylene_dione", "predicate": "proves", "object": "ethylene dione or ethylenedione, also called dicarbon dioxide, carbon peroxide, ethenedione, or ethe"}
{"subject": "math:Oxalic_anhydride", "predicate": "proves", "object": "oxalic anhydride or ethanedioic anhydride, also called oxiranedione, is a hypothetical organic compo"}
{"subject": "math:Fractional_Calculus_and_Applied_Analysis", "predicate": "proves", "object": "fractional calculus and applied analysis is a peer-reviewed mathematics journal published by walter "}
{"subject": "math:Theodore_James_Courant", "predicate": "proves", "object": "theodore james \"ted\" courant is an american mathematician who has conducted research in the fields o"}
{"subject": "math:Topology_control", "predicate": "proves", "object": "topology control is a technique used in distributed computing to alter the underlying network (model"}
{"subject": "math:Zhongshan_Min", "predicate": "proves", "object": "{\n  \"type\": \"featurecollection\",\n  \"features\": [\n    {\n      \"type\": \"feature\",\n      \"geometry\": { "}
{"subject": "math:Einstein\u2013Infeld\u2013Hoffmann_equations", "predicate": "proves", "object": "the einstein\u2013infeld\u2013hoffmann equations of motion, jointly derived by albert einstein, leopold infeld"}
{"subject": "math:Glutaconaldehyde", "predicate": "proves", "object": "glutaconaldehyde is an organic compound with the formula c5h6o2. it is an unsaturated dialdehyde as "}
{"subject": "math:Ralph_Baum", "predicate": "proves", "object": "ralph baum (4 october 1908 \u2013 1987) was a french film producer and production manager particularly as"}
{"subject": "math:Lothar_G\u00f6ttsche", "predicate": "proves", "object": "lothar g\u00f6ttsche (born january 21, 1961, in sonderburg, denmark) is a german mathematician, known for"}
{"subject": "math:Verbal_injury", "predicate": "proves", "object": "verbal injury is a delict in scotland.\n\nproof of special damage\n\nin any action for verbal injury it "}
{"subject": "math:Early_Algebra", "predicate": "proves", "object": "early algebra is an approach to early mathematics teaching and learning. it is about teaching tradit"}
{"subject": "math:Pentacarbon_dioxide", "predicate": "proves", "object": "pentacarbon dioxide, officially penta-1,2,3,4-tetraene-1,5-dione, is an oxide of carbon (an oxocarbo"}
{"subject": "math:Malonic_anhydride", "predicate": "proves", "object": "malonic anhydride or oxetane-2,4-dione is an organic compound with chemical formula c3h2o3 or ch2(co"}
{"subject": "math:Abablemma", "predicate": "proves", "object": "abablemma is a genus of moths in the family erebidae. the genus was described by nye in 1910.\n\ntaxon"}
{"subject": "math:Antiblemma", "predicate": "proves", "object": "antiblemma is a genus of moths of the family noctuidae.\n\nspecies\n\nantiblemma abas (schaus 1914)\nanti"}
{"subject": "math:Hilbert_metric", "predicate": "proves", "object": "in mathematics, the hilbert metric, also known as the hilbert projective metric, is an explicitly de"}
{"subject": "math:True_arithmetic", "predicate": "proves", "object": "in mathematical logic, true arithmetic is the set of all true first-order statements about the arith"}
{"subject": "math:Hydrogen_disulfide", "predicate": "proves", "object": "hydrogen disulfide is the inorganic compound with the formula . this hydrogen chalcogenide is a pale"}
{"subject": "math:Synergetics_(Fuller)", "predicate": "proves", "object": "synergetics is the empirical study of systems in transformation, with an emphasis on whole system be"}
{"subject": "math:Catoblemma", "predicate": "proves", "object": "catoblemma is a genus of moths of the family noctuidae.\n\nreferences\nnatural history museum lepidopte"}
{"subject": "math:Charoblemma", "predicate": "proves", "object": "charoblemma is a genus of moths of the family noctuidae. the genus was erected by harrison gray dyar"}
{"subject": "math:Cymoblemma", "predicate": "proves", "object": "cymoblemma is a monotypic moth genus of the family erebidae. its only species, cymoblemma crenelata,"}
{"subject": "math:Cobalt(II)_hydroxide", "predicate": "proves", "object": "cobalt(ii) hydroxide or cobaltous hydroxide is the inorganic compound with the formula , consisting "}
{"subject": "math:Vescisa", "predicate": "proves", "object": "vescisa is a genus of moths in the family noctuidae. the genus was erected by francis walker in 1864"}
{"subject": "math:Volume_conjecture", "predicate": "proves", "object": "in the branch of mathematics called knot theory, the volume conjecture is the following open problem"}
{"subject": "math:Community_matrix", "predicate": "proves", "object": "in mathematical biology, the community matrix is the linearization of a generalized lotka\u2013volterra e"}
{"subject": "math:Gaetano_Fichera", "predicate": "proves", "object": "gaetano fichera (8 february 1922 \u2013 1 june 1996) was an italian mathematician, working in mathematica"}
{"subject": "math:Dasyblemma", "predicate": "proves", "object": "dasyblemma is a monotypic moth genus of the family erebidae. its only species, dasyblemma straminea,"}
{"subject": "math:2009_Turkish_Grand_Prix", "predicate": "proves", "object": "the 2009 turkish grand prix (officially the 2009 formula 1 ing turkish grand prix) was the seventh m"}
{"subject": "math:Drepanoblemma", "predicate": "proves", "object": "drepanoblemma is a genus of moths of the family erebidae. the genus was erected by george hampson in"}
{"subject": "math:Ectoblemma", "predicate": "proves", "object": "ectoblemma is a monotypic moth genus of the family noctuidae. its only species, ectoblemma rosella, "}
{"subject": "math:Eublemma", "predicate": "proves", "object": "eublemma is a genus of moths of the family erebidae described by jacob h\u00fcbner in 1829.\n\ntaxonomy\nthe"}
{"subject": "math:Eugraptoblemma", "predicate": "proves", "object": "eugraptoblemma is a genus of moths of the family noctuidae. the genus was erected by warren in 1913."}
{"subject": "math:Eumestleta", "predicate": "proves", "object": "eumestleta is a genus of moths of the family erebidae. the genus was erected by arthur gardiner butl"}
{"subject": "math:Birman\u2013Wenzl_algebra", "predicate": "proves", "object": "in mathematics, the birman\u2013murakami\u2013wenzl (bmw) algebra, introduced by  and , is a two-parameter fam"}
{"subject": "math:Ferdinand_Minding", "predicate": "proves", "object": "ernst ferdinand adolf minding (;  \u2013 ) was a german-russian mathematician known for his contributions"}
{"subject": "math:Hemeroblemma", "predicate": "proves", "object": "hemeroblemma is a genus of moths in the family erebidae. the genus was erected by jacob h\u00fcbner in 18"}
{"subject": "math:Manoblemma", "predicate": "proves", "object": "manoblemma is a monotypic moth genus of the family noctuidae. its only species, manoblemma cryptica,"}
{"subject": "math:Microphisa", "predicate": "proves", "object": "microphisa boisduval, 1840 is a synonym of either of two genera of moths in the family erebidae and "}
{"subject": "math:Oediblemma", "predicate": "proves", "object": "oediblemma is a genus of moths of the family erebidae. the genus was erected by george hampson in 19"}
{"subject": "math:2009_German_Grand_Prix", "predicate": "proves", "object": "the 2009 german grand prix (officially the formula 1 grosser preis santander von deutschland 2009)  "}
{"subject": "math:2009_Hungarian_Grand_Prix", "predicate": "proves", "object": "the 2009 hungarian grand prix (officially known as the formula 1 ing magyar nagyd\u00edj 2009) was a form"}
{"subject": "math:Phaeoblemma", "predicate": "proves", "object": "phaeoblemma is a genus of moths of the family erebidae. the genus was erected by george hampson in 1"}
{"subject": "math:Proroblemma", "predicate": "proves", "object": "proroblemma is a genus of moths of the family erebidae. the genus was erected by george hampson in 1"}
{"subject": "math:2009_Singapore_Grand_Prix", "predicate": "proves", "object": "the 2009 singapore grand prix (formally the 2009 formula 1 singtel singapore grand prix) was a formu"}
{"subject": "math:Jesse_Mason", "predicate": "proves", "object": "jesse mason (born april 25, 1984 is a canadian racecar driver from niagara falls, ontario.\n\nafter ka"}
{"subject": "math:Trichoblemma", "predicate": "proves", "object": "trichoblemma is a genus of moths of the family erebidae. the genus was erected by george hampson in "}
{"subject": "math:Trogoblemma", "predicate": "proves", "object": "trogoblemma is a genus of moths of the family noctuidae. the genus was erected by george hampson in "}
{"subject": "math:2009_European_Grand_Prix", "predicate": "proves", "object": "the 2009 european grand prix (formally the 2009 formula 1 telef\u00f3nica grand prix of europe) was a for"}
{"subject": "math:Rodrigo_Barbosa", "predicate": "proves", "object": "rodrigo barbosa (born september 30, 1988) is a brazilian racing driver from s\u00e3o paulo.\n\nafter kartin"}
{"subject": "math:Antonio_Signorini_(physicist)", "predicate": "proves", "object": "antonio signorini (2 april 1888 \u2013 23 february 1963) was an influential italian mathematical physicis"}
{"subject": "math:I_Taut_I_Taw_a_Puddy-Tat", "predicate": "proves", "object": "\"i taut i taw a puddy-tat\" is a novelty song composed and written by alan livingston, billy may and "}
{"subject": "math:Cadmium_acetate", "predicate": "proves", "object": "cadmium acetate is the chemical compound with the formula .  the compound is marketed both as the an"}
{"subject": "math:2009_Belgian_Grand_Prix", "predicate": "proves", "object": "the 2009 belgian grand prix (officially the 2009 formula 1 ing belgian grand prix) was a formula one"}
{"subject": "math:Capital_allocation_line", "predicate": "proves", "object": "capital allocation line (cal) is a graph created by investors to measure the risk of risky and risk-"}
{"subject": "math:Coupled_map_lattice", "predicate": "proves", "object": "a coupled map lattice (cml) is a dynamical system that models the behavior of non-linear systems (es"}
{"subject": "math:Indefinite_sum", "predicate": "proves", "object": "in discrete calculus the indefinite sum operator (also known as the antidifference operator), denote"}
{"subject": "math:Schur's_lemma_(Riemannian_geometry)", "predicate": "proves", "object": "in riemannian geometry, schur's lemma is a result that says, heuristically, whenever certain curvatu"}
{"subject": "math:Iterative_refinement", "predicate": "proves", "object": "iterative refinement is an iterative method proposed by james h. wilkinson to improve the accuracy o"}
{"subject": "math:Indefinite_product", "predicate": "proves", "object": "in mathematics, the indefinite product operator is the inverse operator of . it is a discrete versio"}
{"subject": "math:2009_New_Zealand_Grand_Prix", "predicate": "proves", "object": "the 2009 new zealand grand prix was an open wheel racing car race held at manfeild autocourse, near "}
{"subject": "math:2008_New_Zealand_Grand_Prix", "predicate": "proves", "object": "the 2008 new zealand grand prix was an open wheel racing car race held at manfeild autocourse, near "}
{"subject": "math:1-Naphthol", "predicate": "proves", "object": "1-naphthol, or \u03b1-naphthol, is a fluorescent organic compound with the formula .  it is a white solid"}
{"subject": "math:2007_New_Zealand_Grand_Prix", "predicate": "proves", "object": "the 2007 new zealand grand prix was an open wheel racing car race held at teretonga park, near inver"}
{"subject": "math:Ernst_Specker", "predicate": "proves", "object": "ernst paul specker (11 february 1920, z\u00fcrich \u2013 10 december 2011, z\u00fcrich) was a swiss mathematician. "}
{"subject": "math:2009_Italian_Grand_Prix", "predicate": "proves", "object": "the 2009 italian grand prix (formally the formula 1 gran premio santander d'italia 2009) was a formu"}
{"subject": "math:Nikolaus_Hofreiter", "predicate": "proves", "object": "nikolaus hofreiter (8 may 1904 \u2013 23 january 1990) was an austrian mathematician who worked mainly in"}
{"subject": "math:Partially_ordered_ring", "predicate": "proves", "object": "in abstract algebra, a partially ordered ring is a ring (a, +, \u00b7), together with a compatible partia"}
{"subject": "math:Erd\u0151s\u2013P\u00f3sa_theorem", "predicate": "proves", "object": "in the mathematical discipline of graph theory, the erd\u0151s\u2013p\u00f3sa theorem, named after paul erd\u0151s and l"}
{"subject": "math:2006_New_Zealand_Grand_Prix", "predicate": "proves", "object": "the 2006 new zealand grand prix was an open wheel racing car race held at teretonga park, near inver"}
{"subject": "math:Mollweide's_formula", "predicate": "proves", "object": "in trigonometry, mollweide's formula is a pair of relationships between sides and angles in a triang"}
{"subject": "math:2005_New_Zealand_Grand_Prix", "predicate": "proves", "object": "the 2005 new zealand grand prix was an open wheel racing car race held at teretonga park, near inver"}
{"subject": "math:Euler's_laws_of_motion", "predicate": "proves", "object": "in classical mechanics, euler's laws of motion are equations of motion which extend newton's laws of"}
{"subject": "math:Kefeng_Liu", "predicate": "proves", "object": "kefeng liu (; born 12 december 1965), is a chinese-american mathematician who is known for his contr"}
{"subject": "math:Lexington_High_School_(Tennessee)", "predicate": "proves", "object": "lexington high school is a grade 9-12 high school in lexington, tennessee. the school's enrollment i"}
{"subject": "math:April_2009_in_sports", "predicate": "proves", "object": "\n\ndeaths in april\n\n 9 : nick adenhart\n 13 : mark fidrych\n 13 : harry kalas\n 27 : karl mullen\n 27 : g"}
{"subject": "math:Minimum-weight_triangulation", "predicate": "proves", "object": "in computational geometry and computer science, the minimum-weight triangulation problem is the prob"}
{"subject": "math:Quasi-homogeneous_polynomial", "predicate": "proves", "object": "in algebra, a multivariate polynomial\n  \nis quasi-homogeneous or weighted homogeneous, if there exis"}
{"subject": "math:Mercedes-Benz_Grand_Prix_results", "predicate": "proves", "object": "these are the complete european championship and formula one results for mercedes-benz.\n\ncomplete eu"}
{"subject": "math:Azetidine-2-carboxylic_acid", "predicate": "proves", "object": "azetidine-2-carboxylic acid (abbreviated aze or azc) is a plant non-protein amino acid homologue of "}
{"subject": "math:Ascending_chain_condition_on_principal_ideals", "predicate": "proves", "object": "in abstract algebra, the ascending chain condition can be applied to the posets of principal left, p"}
{"subject": "math:Kodama_state", "predicate": "proves", "object": "the kodama state in physics for loop quantum gravity, is a zero energy solution to the schr\u00f6dinger e"}
{"subject": "math:Die_proof_(philately)", "predicate": "proves", "object": "in philately a die proof is a printed image pulled directly from the master die for an engraved stam"}
{"subject": "math:Verena_Huber-Dyson", "predicate": "proves", "object": "verena esther huber-dyson (may 6, 1923\u00a0\u2013 march 12, 2016) was a swiss-american mathematician, known f"}
{"subject": "math:K-frame", "predicate": "proves", "object": "in linear algebra, a branch of mathematics, a k-frame is an ordered set of k linearly independent ve"}
{"subject": "math:Collomb", "predicate": "proves", "object": "collomb is a surname. notable people with the surname include:\n\n bernard collomb (1930\u20132011), french"}
{"subject": "math:Ragsdale", "predicate": "proves", "object": "ragsdale may refer to :\n\nragsdale (surname)\nragsdale high school, a public high school in jamestown,"}
{"subject": "math:List_of_Compact_Disc_and_DVD_copy_protection_schem", "predicate": "proves", "object": "this is a list of notable copy protection schemes for cd and dvd.\n\nfor other medias, see list of cop"}
{"subject": "math:Chartered_Secretaries_(Hong_Kong)", "predicate": "proves", "object": "chartered secretaries or hong kong institute of chartered secretaries (hkics) () is an independent p"}
{"subject": "math:Duane_H._Cooper", "predicate": "proves", "object": "duane h. cooper (august 21, 1923 in gibson city, illinois \u2013 april 4, 1995) was a physicist, who made"}
{"subject": "math:Plactic_monoid", "predicate": "proves", "object": "in mathematics, the plactic monoid  is the monoid of all words in the  alphabet of positive integers"}
{"subject": "math:Pieri's_formula", "predicate": "proves", "object": "in mathematics, pieri's formula, named after mario pieri, describes the product of a schubert cycle "}
{"subject": "math:Giambelli's_formula", "predicate": "proves", "object": "in mathematics, giambelli's formula, named after giovanni giambelli, expresses schubert classes as d"}
{"subject": "math:Niobium(V)_bromide", "predicate": "proves", "object": "niobium(v) bromide is the inorganic compound with the formula nb2br10. its name comes from the compo"}
{"subject": "math:Ricardo_Teixeira_(racing_driver)", "predicate": "proves", "object": "ricardo teixeira (born 2 august 1984 in lisbon, portugal) is an angolan-portuguese racing driver. he"}
{"subject": "math:HCCH_(disambiguation)", "predicate": "proves", "object": "hcch is the chemical formula for acetylene.\n\nhcch may also refer to:\n\nhcc insurance holdings, an ins"}
{"subject": "math:John_Button_(racing_driver)", "predicate": "proves", "object": "john button (27 july 1943 \u2013 12 january 2014) was an english rallycross driver and the father of 2009"}
{"subject": "math:Discontinuities_of_monotone_functions", "predicate": "proves", "object": "in the mathematical field of analysis, a well-known theorem describes the set of discontinuities of "}
{"subject": "math:Phosphaalkene", "predicate": "proves", "object": "phosphaalkenes (iupac name: alkylidenephosphanes) are organophosphorus compounds with double bonds b"}
{"subject": "math:Diffiety", "predicate": "proves", "object": "in mathematics, a diffiety () is a geometrical object which plays the same role in the modern theory"}
{"subject": "math:Hitchin\u2013Thorpe_inequality", "predicate": "proves", "object": "in differential geometry the hitchin\u2013thorpe inequality is a relation which restricts the topology of"}
{"subject": "math:Silver_selenite", "predicate": "proves", "object": "silver selenite is an inorganic compound of formula ag2seo3.\n\nproduction\nsilver selenite is formed d"}
{"subject": "math:Schreier_domain", "predicate": "proves", "object": "in abstract algebra, a schreier domain, named after otto schreier, is an integrally closed domain wh"}
{"subject": "math:Arithmetical_ring", "predicate": "proves", "object": "in algebra, a commutative ring r is said to be arithmetical (or arithmetic) if any of the following "}
{"subject": "math:Hilbert's_lemma", "predicate": "proves", "object": "hilbert's lemma was proposed at the end of the 19th century by mathematician david hilbert. the lemm"}
{"subject": "math:Peter_Warr", "predicate": "proves", "object": "peter eric warr (18 june 1938, kermanshah, iran \u2013 4 october 2010, sainte-foy-la-grande, france) was "}
{"subject": "math:C2H3NO", "predicate": "proves", "object": "{{displaytitle:c2h3no}}\nthe molecular formula c2h3no (molar mass: 57.05 g/mol, exact mass: 57.0215 u"}
{"subject": "math:Symbolic-numeric_computation", "predicate": "proves", "object": "in mathematics and computer science, symbolic-numeric computation is the use of software that combin"}
{"subject": "math:2009_Formula_Renault_2.0_UK_Championship", "predicate": "proves", "object": "the 2009 formula renault 2.0 uk championship was the 21st british formula renault championship. the "}
{"subject": "math:Alexandru_Froda", "predicate": "proves", "object": "alexandru froda (july 16, 1894 \u2013 october 7, 1973) was a  romanian mathematician with contributions i"}
{"subject": "math:Zwack", "predicate": "proves", "object": "zwack is a budapest, hungary based company that makes liqueurs and spirits. the company produces an "}
{"subject": "math:Steven_Roman", "predicate": "proves", "object": "steven roman is a mathematician, currently emeritus professor of mathematics at california state uni"}
{"subject": "math:Chinese_monoid", "predicate": "proves", "object": "in mathematics, the chinese monoid is a monoid generated by a totally ordered alphabet with the rela"}
{"subject": "math:1,3-Diaminopropane", "predicate": "proves", "object": "1,3-diaminopropane, also known as , is a simple diamine with the formula h2n(ch2)3nh2. a colourless "}
{"subject": "math:Mostow", "predicate": "proves", "object": "mostow may refer to:\n\npeople\n\n george mostow (1923\u20132017), american mathematician\n mostow rigidity th"}
{"subject": "math:Fracture_blister", "predicate": "proves", "object": "fracture blisters occur on skin overlying a fractured bone, and fractures complicated by the develop"}
{"subject": "math:Realpha", "predicate": "proves", "object": "the realpha, also known as re, was a rhodesian formula one racing car. the car was built by ray reed"}
{"subject": "math:Wilkie's_theorem", "predicate": "proves", "object": "in mathematics, wilkie's theorem is a result by alex wilkie about the theory of ordered fields with "}
{"subject": "math:David_Clapham", "predicate": "proves", "object": "david philip clapham (17 may 1931 in rawmarsh, yorkshire, uk \u2013 22 october 2005) was a racing driver "}
{"subject": "math:Alex_Blignaut", "predicate": "proves", "object": "alex blignaut (30 november 1932 in johannesburg \u2013 15 january 2001 in honeydew, johannesburg) was a r"}
{"subject": "math:Castelnuovo,_Avezzano", "predicate": "proves", "object": "the  frazione castelnuovo is a small town established in the middle ages in the avezzano comune, 8 k"}
{"subject": "math:Lawvere_theory", "predicate": "proves", "object": "in category theory, a lawvere theory (named after american mathematician william lawvere) is a categ"}
{"subject": "math:Craige_Schensted", "predicate": "proves", "object": "craige schensted (), who formally changed his name to ea ea, was an american physicist and mathemati"}
{"subject": "math:Dave_Ryan_(motorsport)", "predicate": "proves", "object": "dave ryan (born 12 may 1954 in new zealand) is the former sporting director of the mclaren formula o"}
{"subject": "math:Aguri", "predicate": "proves", "object": "aguri may refer to:\n\nplaces\naguri (caste), bengali hindu agricultural caste in india\n\npeople\n, japan"}
{"subject": "math:C19H28O3", "predicate": "proves", "object": "{{displaytitle:c19h28o3}}\nthe molecular formula c19h28o3 may refer to:\n hydroxy-dhea\n 16-hydroxydehy"}
{"subject": "math:J\u00e1nos_Koll\u00e1r", "predicate": "proves", "object": "j\u00e1nos koll\u00e1r (born 7 june 1956) is a hungarian mathematician, specializing in algebraic geometry.\n\np"}
{"subject": "math:Tony_Jardine", "predicate": "proves", "object": "anthony jardine (born 5 march 1952 in liverpool) is an english motorsport pundit, former driver and "}
{"subject": "math:Edward_Haven_Mason", "predicate": "proves", "object": "edward haven mason (june 8, 1849 \u2013 march 21, 1917), of boston, massachusetts, was the first philatel"}
{"subject": "math:Amino_acid-based_formula", "predicate": "proves", "object": "amino acid-based formula is a type of infant milk formula made from individual amino acids. it is hy"}
{"subject": "math:Zirconium_lactate", "predicate": "proves", "object": "zirconium lactate is the zirconium salt of lactic acid. it is used in some deodorants. zirconium car"}
{"subject": "math:Daniel_Ocone", "predicate": "proves", "object": "daniel leonard ocone (born 1953) is a professor in the mathematics department at rutgers university,"}
{"subject": "math:Travis_Gregg", "predicate": "proves", "object": "travis gregg (born march 28, 1978) is an american racing driver from camden, ohio.\n\nafter karting, g"}
{"subject": "math:La_Roux_(album)", "predicate": "proves", "object": "la roux is the debut studio album by english synth-pop duo la roux, released on 26 june 2009 by poly"}
{"subject": "math:Group_3E_Series_Production_Cars", "predicate": "proves", "object": "group 3e series production cars is an australian motor racing formula for production based cars comp"}
{"subject": "math:Polyominoid", "predicate": "proves", "object": "in geometry, a polyominoid (or minoid for short) is a set of equal squares in 3d space, joined edge "}
{"subject": "math:Regulatory_focus_theory", "predicate": "proves", "object": "regulatory focus theory (rft) is a theory of goal pursuit formulated by columbia university psycholo"}
{"subject": "math:Invertible_module", "predicate": "proves", "object": "in mathematics, particularly commutative algebra, an invertible module is intuitively a module that "}
{"subject": "math:2009_Formula_V6_Asia_Championship", "predicate": "proves", "object": "the 2009 formula v6 asia season was the fourth and final season formula v6 asia championship. the se"}
{"subject": "math:Picture_(mathematics)", "predicate": "proves", "object": "in combinatorial mathematics, a picture is a bijection between skew diagrams satisfying certain prop"}
{"subject": "math:C2H3N3", "predicate": "proves", "object": "the molecular formula c2h3n3 may refer to:\n\n triazole\n 1,2,3-triazole\n 1,2,4-triazole\n\nexternal link"}
{"subject": "math:C2H4N4", "predicate": "proves", "object": "{{displaytitle:c2h4n4}}\nthe molecular formula c2h4n4 (molar mass: 84.08 g/mol, exact mass: 84.0436 u"}
{"subject": "math:Simplicial_sphere", "predicate": "proves", "object": "in geometry and combinatorics, a simplicial (or combinatorial) d-sphere is a simplicial complex home"}
{"subject": "math:Giovanni_Giambelli", "predicate": "proves", "object": "giovanni zeno giambelli (june 29, 1879 \u2013 december 31, 1953) was an italian mathematician who is best"}
{"subject": "math:C4F6", "predicate": "proves", "object": "{{displaytitle:c4f6}}\nthe molecular formula c4f6 (molar mass: 162.0 g/mol, exact mass: 161.9904 u) m"}
{"subject": "math:C3F6O", "predicate": "proves", "object": "{{displaytitle:c3f6o}}\nthe molecular formula c3f6o (molar mass: 166.02 g/mol, exact mass: 165.9853 u"}
{"subject": "math:Peach_black", "predicate": "proves", "object": "peach black is a grey-black pigment originally obtained from burnt peach stones. other early formula"}
{"subject": "math:K._S._Amur", "predicate": "proves", "object": "krishna shyamacharya  amur (born 1931) was a professor emeritus of mathematics in  differential geom"}
{"subject": "math:3-Hydroxybutanal", "predicate": "proves", "object": "in organic chemistry, 3-hydroxybutanal (acetaldol, aldol) is an organic compound with the formula  a"}
{"subject": "math:Louis_Auslander", "predicate": "proves", "object": "louis auslander (july 12, 1928 \u2013 february 25, 1997) was a jewish american mathematician. he had wide"}
{"subject": "math:2009_Formula_Nippon_Championship", "predicate": "proves", "object": "the 2009 formula nippon championship was the thirty-seventh season of the premier japanese open-whee"}
{"subject": "math:Congruence_of_triangles", "predicate": "proves", "object": "congruence of triangles may refer to:\n\n congruence (geometry)#congruence of triangles\n solution of t"}
{"subject": "math:Clifford_parallel", "predicate": "proves", "object": "in elliptic geometry, two lines are clifford parallel or paratactic lines if the perpendicular dista"}
{"subject": "math:Real_form_(Lie_theory)", "predicate": "proves", "object": "in mathematics, the notion of a real form relates objects defined over the field of real and complex"}
{"subject": "math:Hausdorff\u2013Young_inequality", "predicate": "proves", "object": "the hausdorff\u2212young inequality is a foundational result in the mathematical field of fourier analysi"}
{"subject": "math:Coarse_space_(numerical_analysis)", "predicate": "proves", "object": "this article deals with a component of numerical methods. for coarse space in topology, see coarse s"}
{"subject": "math:Post-test_odds", "predicate": "proves", "object": "post-test odds may refer to:\n bayes' theorem in terms of odds and likelihood ratio\n post test odds a"}
{"subject": "math:Justin_Keen", "predicate": "proves", "object": "justin keen (born 4 august 1972 in epping) is a british auto racing driver.\n\ncareer\n\nkeen first star"}
{"subject": "math:2-Fluoroethanol", "predicate": "proves", "object": "2-fluoroethanol is the organic compound with the formula ch2fch2oh. this colorless liquid is one of "}
{"subject": "math:Aut\u00f3dromo_Oscar_Cabal\u00e9n", "predicate": "proves", "object": "aut\u00f3dromo oscar cabal\u00e9n is a  motorsports circuit located in alta gracia, c\u00f3rdoba, argentina. it has"}
{"subject": "math:Aut\u00f3dromo_Parque_Ciudad_de_General_Roca", "predicate": "proves", "object": "aut\u00f3dromo parque ciudad de general roca is a  motorsports circuit located in rio negro, argentina. i"}
{"subject": "math:Aut\u00f3dromo_Ciudad_de_Paran\u00e1", "predicate": "proves", "object": "aut\u00f3dromo ciudad de paran\u00e1 is a  motorsports circuit located in entre r\u00edos, argentina. it has hosted"}
{"subject": "math:Parity_function", "predicate": "proves", "object": "in boolean algebra,  a parity function is a boolean function whose value is one if and only if the i"}
{"subject": "math:Aut\u00f3dromo_Rosendo_Hern\u00e1ndez", "predicate": "proves", "object": "the aut\u00f3dromo rosendo hern\u00e1ndez is a  motorsports circuit located in san luis, argentina. it has hos"}
{"subject": "math:Ezequiel_Bosio", "predicate": "proves", "object": "ezequiel bosio (born april 12, 1985 in santa fe) is an argentine racing driver. he has run in differ"}
{"subject": "math:Commutant-associative_algebra", "predicate": "proves", "object": "in abstract algebra, a commutant-associative algebra is a nonassociative algebra over a field whose "}
{"subject": "math:Valya_algebra", "predicate": "proves", "object": "in abstract algebra, a valya algebra (or valentina algebra) is a nonassociative algebra m over a fie"}
{"subject": "math:Kemnitz's_conjecture", "predicate": "proves", "object": "in additive number theory, kemnitz's conjecture states that every set of lattice points in the plane"}
{"subject": "math:Samuel_Assefa", "predicate": "proves", "object": "samuel assefa is an ethiopian academic and diplomat who served as the ambassador of ethiopia to the "}
{"subject": "math:Covariance_intersection", "predicate": "proves", "object": "covariance intersection (ci) is an algorithm for combining two or more estimates of state variables "}
{"subject": "math:Adolescent_crystallization", "predicate": "proves", "object": "adolescent crystallization, as defined by laurence steinberg, is a stage during adolescence in which"}
{"subject": "math:Thiosulfoxide", "predicate": "proves", "object": "a thiosulfoxide or thiothionyl compound is a chemical compound containing a sulfur to sulfur double "}
{"subject": "math:C18H36O2", "predicate": "proves", "object": "{{displaytitle:c18h36o2}}\nthe molecular formula c18h36o2 (molar mass: 284.48 g/mol, exact mass: 284."}
{"subject": "math:C10H20O", "predicate": "proves", "object": "{{displaytitle:c10h20o}}\nthe molecular formula c10h20o (molar mass: 156.27 g/mol, exact mass: 156.15"}
{"subject": "math:Waterproof_paper", "predicate": "proves", "object": "waterproof paper uses special coatings (plastic-coated paper) and fibers to enhance durability, dime"}
{"subject": "math:Abstract_differential_geometry", "predicate": "proves", "object": "the adjective abstract has often been applied to differential geometry before, but the abstract diff"}
{"subject": "math:Ed_Wood_(engineer)", "predicate": "proves", "object": "peter edwin \"ed\" wood (born march 1, 1968) is the former chief designer for the williams formula one"}
{"subject": "math:Jon_Tomlinson", "predicate": "proves", "object": "jon tomlinson (born 9 january 1973) is a british formula one aerodynamicist, currently working in th"}
{"subject": "math:Semi-Lagrangian_scheme", "predicate": "proves", "object": "the semi-lagrangian scheme (sls) is a numerical method that is widely used in numerical weather pred"}
{"subject": "math:Open_Cloud_Computing_Interface", "predicate": "proves", "object": "the open cloud computing interface (occi) is a set of specifications delivered through the open grid"}
{"subject": "math:Trimethylsulfonium", "predicate": "proves", "object": "trimethylsulfonium (systematically named trimethylsulfanium) is an organic cation with the chemical "}
{"subject": "math:Clifford_analysis", "predicate": "proves", "object": "clifford analysis, using clifford algebras named after william kingdon clifford, is the study of dir"}
{"subject": "math:Tur\u00e1n\u2013Kubilius_inequality", "predicate": "proves", "object": "the tur\u00e1n\u2013kubilius inequality is a mathematical theorem in probabilistic number theory. it is useful"}
{"subject": "math:Private_Network-to-Network_Interface", "predicate": "proves", "object": "the private network-to-network interface (pnni) is a link-state routing protocol used in asynchronou"}
{"subject": "math:Douglas_N._Arnold", "predicate": "proves", "object": "douglas norman \"doug\" arnold is a mathematician whose research focuses on the numerical analysis of "}
{"subject": "math:Invex_function", "predicate": "proves", "object": "in vector calculus, an invex function is a differentiable function  from  to  for which there exists"}
{"subject": "math:1984_Australian_Drivers'_Championship", "predicate": "proves", "object": "the 1984 australian drivers' championship was a cams sanctioned national motor racing title open to "}
{"subject": "math:Monk's_formula", "predicate": "proves", "object": "in mathematics, monk's formula, found by , is an analogue of pieri's formula that describes the prod"}
{"subject": "math:DOTA_(chelator)", "predicate": "proves", "object": "dota (also known as tetraxetan) is an organic compound with the formula (ch2ch2nch2co2h)4. the molec"}
{"subject": "math:The_Burn", "predicate": "proves", "object": "the burn may refer to:\n\nthe burn (waterproof, louisiana), listed on the national register of histori"}
{"subject": "math:Honda_RA301", "predicate": "proves", "object": "the honda ra301 was a formula one racing car produced by honda racing for the 1968 formula one seaso"}
{"subject": "math:Nitrogen_tribromide", "predicate": "proves", "object": "nitrogen tribromide is a chemical compound with the formula nbr3. it is extremely explosive in its p"}
{"subject": "math:Dinitrogen_difluoride", "predicate": "proves", "object": "dinitrogen difluoride is a chemical compound with the formula . it is a gas at room temperature, and"}
{"subject": "math:Foolish_Pride", "predicate": "proves", "object": "\"foolish pride\" is a song written and recorded by american country music singer travis tritt. it was"}
{"subject": "math:Isophote", "predicate": "proves", "object": "in geometry, an isophote is a curve on an illuminated surface that connects points of equal brightne"}
{"subject": "math:Cnoidal_wave", "predicate": "proves", "object": "in fluid dynamics, a cnoidal wave is a nonlinear and exact periodic wave solution of the korteweg\u2013de"}
{"subject": "math:Nilradical_of_a_Lie_algebra", "predicate": "proves", "object": "in algebra, the nilradical of a lie algebra is a nilpotent ideal, which is as large as possible. \n\nt"}
{"subject": "math:Additive_map", "predicate": "proves", "object": "in algebra, an additive map, -linear map or additive function is a function  that preserves the addi"}
{"subject": "math:Algorithmic_Lov\u00e1sz_local_lemma", "predicate": "proves", "object": "in theoretical computer science, the algorithmic lov\u00e1sz local lemma gives an algorithmic way of cons"}
{"subject": "math:Davies_equation", "predicate": "proves", "object": "the davies equation is an empirical extension of debye\u2013h\u00fcckel theory which can be used to calculate "}
{"subject": "math:Mihai_Marinescu", "predicate": "proves", "object": "mihai marinescu (born 25 january 1989 in bra\u0219ov, romania) is a professional romanian racing driver f"}
{"subject": "math:Batangas_Racing_Circuit", "predicate": "proves", "object": "batangas racing circuit is a permanent circuit in barrio maligaya, rosario, batangas, philippines bu"}
{"subject": "math:Firewater", "predicate": "proves", "object": "firewater may refer to:\n\nliquid\n high-proof beverages, particularly illegal moonshine\n firewater (fi"}
{"subject": "math:\u0141ojasiewicz_inequality", "predicate": "proves", "object": "in real algebraic geometry, the  \u0142ojasiewicz inequality, named after stanis\u0142aw \u0142ojasiewicz, gives an"}
{"subject": "math:Gordon_F._Newell", "predicate": "proves", "object": "gordon frank newell (january 25, 1925 \u2013 february 16, 2001) was an american scientist, known for his "}
{"subject": "math:Bulletproof_(1996_soundtrack)", "predicate": "proves", "object": "bulletproof is the soundtrack to the 1996 action-comedy film, bulletproof. it was released on septem"}
{"subject": "math:Kushner_equation", "predicate": "proves", "object": "in filtering theory the kushner equation (after harold kushner) is an equation for the conditional p"}
{"subject": "math:Fixed-radius_near_neighbors", "predicate": "proves", "object": "in computational geometry, the fixed-radius near neighbor problem is a variant of the nearest neighb"}
{"subject": "math:Pull_(philately)", "predicate": "proves", "object": "in philately, a pull is created when an impression of a handstamp or die is made.\n\nthe wording or de"}
{"subject": "math:Fluanisone", "predicate": "proves", "object": "fluanisone is a typical antipsychotic and sedative of the butyrophenone chemical class. it is used i"}
{"subject": "math:Iron_phosphide", "predicate": "proves", "object": "iron phosphide is a chemical compound of iron and phosphorus, with a formula of fep. its physical ap"}
{"subject": "math:Pseudo-determinant", "predicate": "proves", "object": "in linear algebra and statistics, the pseudo-determinant is the product of all non-zero eigenvalues "}
{"subject": "math:Chi-Wang_Shu", "predicate": "proves", "object": "chi-wang shu (chinese: \u8212\u5176\u671b, born 1 january 1957) is the theodore b. stowell university professor of "}
{"subject": "math:Anomalemma", "predicate": "proves", "object": "anomalemma is a genus of fungi in the family melanommataceae; according to the 2007 outline of ascom"}
{"subject": "math:Neodecanoic_acid", "predicate": "proves", "object": "neodecanoic acid is a mixture of carboxylic acids with the common structural formula c10h20o2, a mol"}
{"subject": "math:Biodyl", "predicate": "proves", "object": "biodyl is a trademark of merial for a dietary supplement used in animals.  it is manufactured in two"}
{"subject": "math:Benzopyrene", "predicate": "proves", "object": "a benzopyrene is an organic compound with the formula c20h12. structurally speaking, the colorless i"}
{"subject": "math:Schur's_lemma_(disambiguation)", "predicate": "proves", "object": "at least three well-known results in mathematics bear the name schur's lemma:\n schur's lemma from re"}
{"subject": "math:Rolon", "predicate": "proves", "object": "rolon or rol\u00f3n may refer to:\n\nformula rolon, open wheel single seater formula racing car made and ra"}
{"subject": "math:F1_2010_(video_game)", "predicate": "proves", "object": "f1 2010 is a video game based on the 2010 season of the formula one world championship. the game was"}
{"subject": "math:Naari", "predicate": "proves", "object": "naari pharma pvt. ltd. is a pharmaceutical company based in bengaluru, india. naari was founded on d"}
{"subject": "math:Johannes_Seidlitz", "predicate": "proves", "object": "johannes seidlitz (born 13 june 1990) is a german racing driver from wassertr\u00fcdingen. he currently c"}
{"subject": "math:I-bundle", "predicate": "proves", "object": "in mathematics, an i-bundle is a fiber bundle whose fiber is an interval and whose base is a manifol"}
{"subject": "math:SmartGeometry_Group", "predicate": "proves", "object": "smartgeometry (sg) is a non-profit organization focusing on the use of the computer as an intelligen"}
{"subject": "math:Solar_Roadways", "predicate": "proves", "object": "solar roadways incorporated is an american company based in sandpoint, idaho, aiming to develop sola"}
{"subject": "math:Purnell_equation", "predicate": "proves", "object": "the purnell equation is an equation used in analytical chemistry to calculate the resolution rs betw"}
{"subject": "math:Patrick_Brosnan", "predicate": "proves", "object": "patrick brosnan is an american mathematician, known for his work on motives, hodge theory, and algeb"}
{"subject": "math:Osella_(disambiguation)", "predicate": "proves", "object": "osella is an italian racing car manufacturer and former formula one team.\n\nosella may also refer to:"}
{"subject": "math:Boss_of_the_Plains", "predicate": "proves", "object": "the boss of the plains  was a lightweight all-weather hat designed in 1865 by john b. stetson for th"}
{"subject": "math:Brian_Smith_(racing_driver)", "predicate": "proves", "object": "brian smith (born 22 april 1975 in castelar, buenos aires province) is a racing driver from argentin"}
{"subject": "math:CUSAT_(disambiguation)", "predicate": "proves", "object": "cusat is the cochin university of science and technology, a university in india.\n\ncusat may also ref"}
{"subject": "math:Arrow_pushing", "predicate": "proves", "object": "arrow pushing or electron pushing is a technique used to describe the progression of organic chemist"}
{"subject": "math:Vibration-proof_hitch", "predicate": "proves", "object": "the vibration-proof hitch is a knot used for fastening a line or rope to a solid object.  this parti"}
{"subject": "math:Flatness_(mathematics)", "predicate": "proves", "object": "in mathematics, the flatness (symbol: \u23e5) of a surface is the degree to which it approximates a mathe"}
{"subject": "math:Flatness_(cosmology)", "predicate": "proves", "object": "in cosmology, flatness is a property of a space without curvature. such a space is called a \"flat sp"}
{"subject": "math:Berge's_theorem", "predicate": "proves", "object": "in graph theory, berge's theorem states that a matching m in a graph g is maximum (contains the larg"}
{"subject": "math:Bender\u2013Knuth_involution", "predicate": "proves", "object": "in algebraic combinatorics, a bender\u2013knuth involution is an involution on the set of semistandard ta"}
{"subject": "math:Hasse\u2013Arf_theorem", "predicate": "proves", "object": "in mathematics, specifically in local class field theory, the hasse\u2013arf theorem is a result concerni"}
{"subject": "math:Cadmium_cyanide", "predicate": "proves", "object": "cadmium cyanide is an inorganic compound with the formula cd(cn)2.  it is a white crystalline compou"}
{"subject": "math:\u00c1kos_Cs\u00e1sz\u00e1r", "predicate": "proves", "object": "\u00e1kos cs\u00e1sz\u00e1r (, ) (26 february 1924, budapest \u2013 14 december 2017, budapest) was a hungarian mathemat"}
{"subject": "math:Tell_Me_I_Was_Dreaming", "predicate": "proves", "object": "\"tell me i was dreaming\" is a song co-written and recorded by american country music artist travis t"}
{"subject": "math:Jacob_R._Beamer", "predicate": "proves", "object": "jacob r. beamer (beemer, bemer) (born c. 1810) (fl. 1837\u201347) was a carpenter, innkeeper, and canadia"}
{"subject": "math:Cadmium_hydroxide", "predicate": "proves", "object": "cadmium hydroxide is an inorganic compound with the formula cd(oh)2.  it is a white crystalline ioni"}
{"subject": "math:Paradox_of_the_pesticides", "predicate": "proves", "object": "the paradox of the pesticides is a paradox that states that applying pesticide to a pest may end up "}
{"subject": "math:Analytical_regularization", "predicate": "proves", "object": "in physics and applied mathematics, analytical regularization is a technique used to convert boundar"}
{"subject": "math:Cyclopentadienylcobalt_dicarbonyl", "predicate": "proves", "object": "cyclopentadienylcobalt dicarbonyl is an organocobalt compound with formula (c5h5)co(co)2, abbreviate"}
{"subject": "math:Chloro(cyclopentadienyl)bis(triphenylphosphine)rut", "predicate": "proves", "object": "chloro(cyclopentadienyl)bis(triphenylphosphine)ruthenium is the organoruthenium half-sandwich compou"}
{"subject": "math:Tetramethylammonium_chloride", "predicate": "proves", "object": "tetramethylammonium chloride is one of the simplest quaternary ammonium salts, with four methyl grou"}
{"subject": "math:Barium_sulfite", "predicate": "proves", "object": "barium sulfite is the inorganic compound with the chemical formula baso3. it is a white powder that "}
{"subject": "math:Arsabenzene", "predicate": "proves", "object": "arsabenzene (iupac name: arsinine) is an organoarsenic heterocyclic compound with the chemical formu"}
{"subject": "math:Triphenylborane", "predicate": "proves", "object": "triphenylborane, often abbreviated to bph3 where ph is the phenyl group c6h5-, is a chemical compoun"}
{"subject": "math:Rhodium(IV)_oxide", "predicate": "proves", "object": "rhodium(iv) oxide (or rhodium dioxide) is the chemical compound with the formula rho2.\n\nchemical pro"}
{"subject": "math:Poincar\u00e9_series", "predicate": "proves", "object": "poincar\u00e9 series may refer to\n\n poincar\u00e9 series (modular form), associated to a discrete group, in th"}
{"subject": "math:Michael_Makkai", "predicate": "proves", "object": "michael makkai (; 24 june 1939 in budapest, hungary) is canadian mathematician of hungarian origin, "}
{"subject": "math:Dedekind\u2013Hasse_norm", "predicate": "proves", "object": "in mathematics, in particular the study of abstract algebra, a dedekind\u2013hasse norm is a function on "}
{"subject": "math:Ruze's_equation", "predicate": "proves", "object": "ruze's equation is an equation relating the gain of an antenna to the root mean square (rms) of the "}
{"subject": "math:Kostka_polynomial", "predicate": "proves", "object": "in mathematics, kostka polynomials, named after the mathematician carl kostka, are families of polyn"}
{"subject": "math:Euler\u2013Lotka_equation", "predicate": "proves", "object": "in the study of age-structured population growth, probably one of the most important equations is th"}
{"subject": "math:Cobalt(II)_cyanide", "predicate": "proves", "object": "cobalt(ii) cyanide is  the inorganic compound with the formula co(cn)2.  it is coordination polymer "}
{"subject": "math:Line_segment", "predicate": "proves", "object": "in geometry, a line segment is a part of a straight line that is bounded by two distinct end points,"}
{"subject": "math:Diphenyl_carbonate", "predicate": "proves", "object": "diphenyl carbonate is the organic compound with the formula (c6h5o)2co.  it is classified as an acyc"}
{"subject": "math:Manganese(II)_acetate", "predicate": "proves", "object": "manganese(ii) acetate are chemical compounds with the formula  where n = 0, 2, 4. these materials ar"}
{"subject": "math:Trimethylstibine", "predicate": "proves", "object": "trimethylstibine is an organoantimony compound with the formula sb(ch3)3. it is a colorless pyrophor"}
{"subject": "math:Niobium(IV)_chloride", "predicate": "proves", "object": "niobium(iv) chloride, also known as niobium tetrachloride, is the chemical compound of formula nbcl4"}
{"subject": "math:MacroModel", "predicate": "proves", "object": "macromodel is a computer program for molecular modelling of organic compounds and biopolymers.  it f"}
{"subject": "math:Benzanilide", "predicate": "proves", "object": "benzanilide is the organic compound with the formula c6h5c(o)nhc6h5. it is a white solid.  commercia"}
{"subject": "math:Pentamethylcyclopentadienyl_iridium_dichloride_dim", "predicate": "proves", "object": "pentamethylcyclopentadienyl iridium dichloride dimer is an organometallic compound with the formula "}
{"subject": "math:Hydroxypyruvic_acid", "predicate": "proves", "object": "hydroxypyruvic acid is the organic compound with the formula hoch2c(o)co2h.  it is a white solid.  i"}
{"subject": "math:Bose\u2013Mesner_algebra", "predicate": "proves", "object": "in mathematics, a bose\u2013mesner algebra is a special set of matrices which arise from a combinatorial "}
{"subject": "math:Harrop_formula", "predicate": "proves", "object": "in intuitionistic logic, the harrop formulae, named after ronald harrop, are the class of formulae i"}
{"subject": "math:Stonefish_(mine)", "predicate": "proves", "object": "stonefish is a naval influence mine manufactured by british defence company bae systems. it has been"}
{"subject": "math:Directed_algebraic_topology", "predicate": "proves", "object": "in mathematics, directed algebraic topology is a refinement of algebraic topology for directed space"}
{"subject": "math:Smashproof", "predicate": "proves", "object": "smashproof is a new zealand hip hop group, consisting of sid diamond, tyree, and deach. the name \"sm"}
{"subject": "math:Ronny_Meixner", "predicate": "proves", "object": "ronny meixner (born february 27, 1964) is a german racing driver and the founder of vici racing.\n\nra"}
{"subject": "math:Vittorio_Zoboli", "predicate": "proves", "object": "vittorio zoboli (born 24 june 1968 in bologna, italy) is an italian racing driver. his career has sp"}
{"subject": "math:Perfect_ring", "predicate": "proves", "object": "in the area of abstract algebra known as ring theory, a left perfect ring is a type of ring over whi"}
{"subject": "math:Clifford_semigroup", "predicate": "proves", "object": "a clifford semigroup (sometimes also called \"inverse clifford semigroup\") is a completely regular in"}
{"subject": "math:Ringel\u2013Hall_algebra", "predicate": "proves", "object": "in mathematics, a ringel\u2013hall algebra is a generalization of the hall algebra, studied by . it has a"}
{"subject": "math:Transversality_theorem", "predicate": "proves", "object": "in differential topology, the transversality theorem, also known as the thom transversality theorem "}
{"subject": "math:Calabi\u2013Eckmann_manifold", "predicate": "proves", "object": "in complex geometry, a part of mathematics, a calabi\u2013eckmann manifold (or, often, calabi\u2013eckmann spa"}
{"subject": "math:Paul_Chester_Kainen", "predicate": "proves", "object": "paul chester kainen is an american mathematician, an adjunct associate professor of mathematics and "}
{"subject": "math:Programmation_Automatique_des_Formules", "predicate": "proves", "object": "programmation automatique des formules is a programming language designed in 1957-1959 by dimitri st"}
{"subject": "math:Semigroup_with_involution", "predicate": "proves", "object": "in mathematics, particularly in abstract algebra, a semigroup with involution or a *-semigroup is a "}
{"subject": "math:TracenPoche", "predicate": "proves", "object": "tracenpoche (tep) is a free interactive geometry software, written in adobe flash language. it is ve"}
{"subject": "math:Clifford's_theorem", "predicate": "proves", "object": "clifford's theorem may refer to:\nclifford's theorem on special divisors\nclifford theory in represent"}
{"subject": "math:Matrix_string_theory", "predicate": "proves", "object": "in physics, matrix string theory is a set of equations that describe superstring theory in a non-per"}
{"subject": "math:Bailey\u2013Borwein\u2013Plouffe_formula", "predicate": "proves", "object": "the bailey\u2013borwein\u2013plouffe formula (bbp formula) is a formula for . it was discovered in 1995 by sim"}
{"subject": "math:Dinitrogen_trioxide", "predicate": "proves", "object": "dinitrogen trioxide (also known as nitrous anhydride) is the chemical compound with the formula . it"}
{"subject": "math:1,2-Difluorobenzene", "predicate": "proves", "object": "1,2-difluorobenzene, also known as dfb, is an aromatic compound with formula chf. this colorless fla"}
{"subject": "math:N-Methylformamide", "predicate": "proves", "object": "n-methylformamide (nmf) is a colorless, nearly odorless, organic compound and secondary amide with m"}
{"subject": "math:Kirchhoff_integral_theorem", "predicate": "proves", "object": "kirchhoff's integral theorem (sometimes referred to as the fresnel\u2013kirchhoff integral theorem) is a "}
{"subject": "math:Cis-Dichlorobis(ethylenediamine)cobalt(III)_chlori", "predicate": "proves", "object": "cis-dichlorobis(ethylenediamine)cobalt(iii) chloride is a salt with the formula [cocl2(en)2]cl (en ="}
{"subject": "math:Phthalonitrile", "predicate": "proves", "object": "phthalonitrile is an organic compound with the formula c6h4(cn)2, which is an off-white crystal soli"}
{"subject": "math:(Benzene)chromium_tricarbonyl", "predicate": "proves", "object": "(benzene)chromium tricarbonyl is an organometallic compound with the formula .   this yellow crystal"}
{"subject": "math:F2000_Championship_Series", "predicate": "proves", "object": "the f2000 championship series is a north american\u2013based open wheel road racing series based on formu"}
{"subject": "math:Point-to-point_laser_technology", "predicate": "proves", "object": "point-to-point laser technology (pplt) refers to a technology that enables a user or surveyor to sur"}
{"subject": "math:Bogomolov\u2013Miyaoka\u2013Yau_inequality", "predicate": "proves", "object": "in mathematics, the bogomolov\u2013miyaoka\u2013yau inequality is the inequality\n\nbetween chern numbers  of co"}
{"subject": "math:Hexadecacarbonylhexarhodium", "predicate": "proves", "object": "hexadecacarbonylhexarhodium is a metal carbonyl cluster with the formula rh6(co)16. it exists as pur"}
{"subject": "math:HawkSat-1", "predicate": "proves", "object": "hawksat-1 was a single-unit cubesat which was built and is being operated by the hawk institute for "}
{"subject": "math:Difluorocarbene", "predicate": "proves", "object": "difluorocarbene is the chemical compound with formula cf2. it has a short half-life, 0.5 and 20\u00a0ms, "}
{"subject": "math:Cantor's_first_set_theory_article", "predicate": "proves", "object": "cantor's first set theory article contains georg cantor's first theorems of transfinite set theory, "}
{"subject": "math:Hadamard's_method_of_descent", "predicate": "proves", "object": "in mathematics, the method of descent is the term coined by the french mathematician jacques hadamar"}
{"subject": "math:Cyclopentadienyl_allyl_palladium", "predicate": "proves", "object": "cyclopentadienyl allyl palladium is an organopalladium compound with formula (c5h5)pd(c3h5). this re"}
{"subject": "math:Cyclopentadienylthallium", "predicate": "proves", "object": "cyclopentadienylthallium, also known as thallium cyclopentadienide, is an organothallium compound wi"}
{"subject": "math:Dimethylphenylphosphine", "predicate": "proves", "object": "dimethylphenylphosphine  is an organophosphorus compound with a formula p(c6h5)(ch3)2. the phosphoru"}
{"subject": "math:Brother_(Smashproof_song)", "predicate": "proves", "object": "\"brother\" is a single by new zealand hip hop group smashproof, released in early 2009. the song feat"}
{"subject": "math:Maps_of_manifolds", "predicate": "proves", "object": "in mathematics, more specifically in differential geometry and topology, various types of functions "}
{"subject": "math:Tetrakis(acetonitrile)copper(I)_hexafluorophosphat", "predicate": "proves", "object": "tetrakis(acetonitrile)copper(i) hexafluorophosphate is a salt with the formula [cu(ch3cn)4]pf6. it i"}
{"subject": "math:Hamza_Dirani", "predicate": "proves", "object": "hamza dirani \u062d\u0645\u0632\u0629 \u062f\u064a\u0631\u0627\u0646\u064a (born in amman, august 16, 1982) is a jordanian race car and kart racing dr"}
{"subject": "math:Noether_inequality", "predicate": "proves", "object": "in mathematics, the noether inequality, named after max noether, is a property of compact minimal co"}
{"subject": "math:Raynaud_surface", "predicate": "proves", "object": "in mathematics, a raynaud surface is a particular kind of algebraic surface that was introduced in  "}
{"subject": "math:C8H9NO2", "predicate": "proves", "object": "{{displaytitle:c8h9no2}}\nthe molecular formula c8h9no2 may refer to:\n\n aminomethylbenzoic acid\n benz"}
{"subject": "math:ATMP", "predicate": "proves", "object": "atmp or aminotris(methylenephosphonic acid) is a phosphonic acid with chemical formula n(ch2po3h2)3."}
{"subject": "math:Yoichi_Miyaoka", "predicate": "proves", "object": "is a mathematician who works in algebraic geometry and who proved (independently of shing-tung yau's"}
{"subject": "math:J\u00e1nos_Acz\u00e9l_(mathematician)", "predicate": "proves", "object": "j\u00e1nos dezs\u0151 acz\u00e9l  (; 26 december 1924 \u2013 1 january 2020), also known as john aczel, was a hungarian-"}
{"subject": "math:Bakerite", "predicate": "proves", "object": "bakerite is the common name given to hydrated calcium boro-silicate hydroxide, a borosilicate minera"}
{"subject": "math:BAR_005", "predicate": "proves", "object": "the bar 005 was a formula one car which the british american racing team used to compete in the 2003"}
{"subject": "math:Fake_projective_plane", "predicate": "proves", "object": "in mathematics, a fake projective plane (or mumford surface) is one of the 50 complex algebraic surf"}
{"subject": "math:List_of_works_by_Nikolay_Bogolyubov", "predicate": "proves", "object": "list of some published works of nikolay bogolyubov in chronological order:\n\n1924\nn. n. bogolyubov (1"}
{"subject": "math:Norman_Shapiro", "predicate": "proves", "object": "norman zalmon shapiro was an american mathematician, who was the co-author of the rice\u2013shapiro theor"}
{"subject": "math:De_Bruijn\u2013Erd\u0151s_theorem_(graph_theory)", "predicate": "proves", "object": "in graph theory, the de bruijn\u2013erd\u0151s theorem relates graph coloring of an infinite graph to the same"}
{"subject": "math:Dolgachev_surface", "predicate": "proves", "object": "in mathematics,  dolgachev surfaces are certain simply connected elliptic surfaces, introduced by . "}
{"subject": "math:Zolt\u00e1n_F\u00fcredi", "predicate": "proves", "object": "zolt\u00e1n f\u00fcredi (budapest, hungary, 21 may 1954) is a hungarian mathematician, working in combinatoric"}
{"subject": "math:Tom\u00e1\u0161_Kostka", "predicate": "proves", "object": "tom\u00e1\u0161 kostka (born 27 august 1984) is a czech racing driver, who lives in beausoleil, alpes-maritime"}
{"subject": "math:Internal_model_(motor_control)", "predicate": "proves", "object": "in the subject area of control theory, an internal model is a process that simulates the response of"}
{"subject": "math:Larvex_Corporation", "predicate": "proves", "object": "larvex corporation was a company which manufactured spraying larvex, a pest control product used in "}
{"subject": "math:Rome_Grand_Prix", "predicate": "proves", "object": "the rome grand prix (), also known as the premio reale di roma (1925\u20131932) and gran premio di roma ("}
{"subject": "math:Fermat\u2013Catalan_conjecture", "predicate": "proves", "object": "in number theory, the fermat\u2013catalan conjecture is a generalization of fermat's last theorem and of "}
{"subject": "math:2009_Eurocup_Formula_Renault_2.0", "predicate": "proves", "object": "the 2009 eurocup formula renault 2.0 season was the nineteenth eurocup formula renault 2.0 season. t"}
{"subject": "math:Polyadic_algebra", "predicate": "proves", "object": "polyadic algebras (more recently called halmos algebras) are algebraic structures introduced by paul"}
{"subject": "math:Rational_data_type", "predicate": "proves", "object": "some programming languages provide a built-in (primitive) rational data type to represent rational n"}
{"subject": "math:ESPN_SpeedWorld", "predicate": "proves", "object": "espn speedworld (formerly auto racing '79\u2013'86) is a former television series broadcast on espn from "}
{"subject": "math:Ron_Aharoni", "predicate": "proves", "object": "ron aharoni ( ) (born 1952) is an israeli mathematician, working in finite and infinite combinatoric"}
{"subject": "math:Hisham_Zaman", "predicate": "proves", "object": "hisham zaman (born 1 february 1975) is a norwegian film director and screenwriter of kurdish origin."}
{"subject": "math:Winters'_formula", "predicate": "proves", "object": "winters' formula, named after dr. r.w. winters, is a formula used to evaluate respiratory compensati"}
{"subject": "math:1962_Australian_Grand_Prix", "predicate": "proves", "object": "the 1962 australian grand prix was a motor race for formula libre cars, held at the caversham circui"}
{"subject": "math:1961_Australian_Grand_Prix", "predicate": "proves", "object": "the 1961 australian grand prix was a formula libre motor race held at the newly completed mallala ra"}
{"subject": "math:Fake_projective_space", "predicate": "proves", "object": "in mathematics, a fake projective space is a complex algebraic variety that has the same betti numbe"}
{"subject": "math:Krohnvikens_Bataljon", "predicate": "proves", "object": "krohnvikens bataljon was a buekorps in bergen which existed from probably before 1854 (1852?) to 191"}
{"subject": "math:Fletcherite", "predicate": "proves", "object": "fletcherite is a rare thiospinel sulfide mineral with formula . it is an opaque metallic steel gray "}
{"subject": "math:Conley_index_theory", "predicate": "proves", "object": "in dynamical systems theory, conley index theory, named after charles conley, analyzes topological s"}
{"subject": "math:Linear_alkylbenzene", "predicate": "proves", "object": "linear alkylbenzenes (sometimes also known as labs) are a family of organic compounds with the formu"}
{"subject": "math:1984_Australian_Formula_2_Championship", "predicate": "proves", "object": "the 1984 australian formula 2 championship was a cams sanctioned australian motor racing title open "}
{"subject": "math:MAXEkSAT", "predicate": "proves", "object": "maxeksat is a problem in computational complexity theory that is a maximization version of the boole"}
{"subject": "math:Dual_of_BCH_is_an_independent_source", "predicate": "proves", "object": "a certain family of bch codes have a particularly useful property, which is that\ntreated as linear o"}
{"subject": "math:G\u00e9za_Fodor_(mathematician)", "predicate": "proves", "object": "g\u00e9za fodor (6 may 1927 in szeged \u2013 28 september 1977 in szeged) was a hungarian mathematician, worki"}
{"subject": "math:Korea_Super_Prix", "predicate": "proves", "object": "the international formula 3 korea super prix was a formula three race held annually on the streets o"}
{"subject": "math:IIHF_World_Ranking", "predicate": "proves", "object": "the iihf world ranking is a ranking of the performance of the national ice hockey teams of member co"}
{"subject": "math:Mie\u2013Gr\u00fcneisen_equation_of_state", "predicate": "proves", "object": "the mie\u2013gr\u00fcneisen equation of state is an equation of state that relates the pressure and volume of "}
{"subject": "math:Igor_Dolgachev", "predicate": "proves", "object": "igor v. dolgachev (born 7 april 1944) is a russian\u2013american mathematician specializing in algebraic "}
{"subject": "math:4-Cyano-4'-pentylbiphenyl", "predicate": "proves", "object": "4-cyano-4'-pentylbiphenyl is a commonly used nematic liquid crystal with the chemical formula c18h19"}
{"subject": "math:J\u00e1nos_Bolyai_Mathematical_Society", "predicate": "proves", "object": "the j\u00e1nos bolyai mathematical society (bolyai j\u00e1nos matematikai t\u00e1rsulat, bjmt) is the hungarian mat"}
{"subject": "math:1,2-Bis(dimethylphosphino)ethane", "predicate": "proves", "object": "1,2-bis(dimethylphosphino)ethane (dmpe) is a diphosphine ligand in coordination chemistry. it is a c"}
{"subject": "math:Cock's_peculiar_tumour", "predicate": "proves", "object": "cock's peculiar tumour is a sebaceous cyst linked growth that can resemble a squamous cell carcinoma"}
{"subject": "math:Mehdi_Behzad", "predicate": "proves", "object": "mehdi behzad (persian:\u0645\u0647\u062f\u06cc \u0628\u0647\u0632\u0627\u062f; born april 22, 1936) is an iranian mathematician specializing in g"}
{"subject": "math:1,2-Dioxetanedione", "predicate": "proves", "object": "the chemical compound 1,2-dioxetanedione, or 1,2-dioxacyclobutane-3,4-dione, often called peroxyacid"}
{"subject": "math:Dioxetane", "predicate": "proves", "object": "a dioxetane or dioxacyclobutane is an organic compound with formula c2o2h4, whose backbone is a four"}
{"subject": "math:Cumene_hydroperoxide", "predicate": "proves", "object": "cumene hydroperoxide is the organic compound with the formula c6h5c(ch3)2ooh. an oily liquid, it is "}
{"subject": "math:Representability", "predicate": "proves", "object": "representability in mathematics can refer to\n the existence of a representable functor in category t"}
{"subject": "math:Michel_Deza", "predicate": "proves", "object": "michel marie deza (27 april 1939 \u2013 23 november 2016) was a soviet and french mathematician, speciali"}
{"subject": "math:Sophie_Germain's_theorem", "predicate": "proves", "object": "in number theory, sophie germain's theorem is a statement about the divisibility of solutions to the"}
{"subject": "math:Mole_map_(chemistry)", "predicate": "proves", "object": "in chemistry, the mole map is a graphical representation of an algorithm that compares molar mass, n"}
{"subject": "math:Musikdrama", "predicate": "proves", "object": "is a german word that means a unity of prose and music. initially coined by theodor mundt in 1833, i"}
{"subject": "math:MTV_Force_India_The_Fast_and_The_Gorgeous", "predicate": "proves", "object": "mtv force india the fast and the gorgeous is a reality show by mtv india produced in association wit"}
{"subject": "math:Heiko_Harborth", "predicate": "proves", "object": "heiko harborth (born 11 february 1938, in celle, germany) is professor of mathematics at braunschwei"}
{"subject": "math:1960_Australian_Grand_Prix", "predicate": "proves", "object": "the 1960 australian grand prix was a motor race held at lowood in queensland, australia on 12 june 1"}
{"subject": "math:The_Mysterious_Benedict_Society_and_the_Prisoner's", "predicate": "proves", "object": "the mysterious benedict society and the prisoner's dilemma is a 2009 children's novel written by tre"}
{"subject": "math:Hole_in_My_Pocket", "predicate": "proves", "object": "\"hole in my pocket\" is a song co-written by boudleaux and felice bryant, and recorded by american co"}
{"subject": "math:National_e-Governance_Plan", "predicate": "proves", "object": "the national e-governance plan (negp) is an initiative of the government of india to make all govern"}
{"subject": "math:Passport_of_Kosovo", "predicate": "proves", "object": "the passport of kosovo (;  / ) is a travel document that is issued to the citizens of kosovo.the doc"}
{"subject": "math:Indolizine", "predicate": "proves", "object": "indolizine is an heterocyclic compound with the formula c8h7n). it is an uncommon isomer of indole w"}
{"subject": "math:Grinberg's_theorem", "predicate": "proves", "object": "in graph theory, grinberg's theorem is a necessary condition for a planar graph to contain a hamilto"}
{"subject": "math:Williams_FW12", "predicate": "proves", "object": "the williams fw12 was a formula one racing car used by the williams team for the  season. an updated"}
{"subject": "math:Surface_of_class_VII", "predicate": "proves", "object": "in mathematics,  surfaces of class vii  are non-algebraic complex surfaces studied by  that have kod"}
{"subject": "math:Williams_FW13", "predicate": "proves", "object": "the williams fw13 was a formula one racing car used by the williams team for the last four races of "}
{"subject": "math:The_Baby_Formula", "predicate": "proves", "object": "the baby formula is a 2008 canadian mockumentary film, directed by alison reid. the film stars angel"}
{"subject": "math:Bulletproof_(La_Roux_song)", "predicate": "proves", "object": "\"bulletproof\" is a song by english synth-pop duo la roux from their eponymous debut studio album (20"}
{"subject": "math:Crossbar_theorem", "predicate": "proves", "object": "in geometry, the crossbar theorem states that if ray ad is between ray ac and ray ab, then ray ad in"}
{"subject": "math:Spherical_code", "predicate": "proves", "object": "in geometry and coding theory, a spherical code with parameters (n,n,t) is a set of n points on the "}
{"subject": "math:Ephemeral_(EP)", "predicate": "proves", "object": "ephemeral is the fourth ep by american post-metal band pelican. it was their first recording to be r"}
{"subject": "math:2009_International_Formula_Master", "predicate": "proves", "object": "the 2009 international formula master was the third and last international formula master season. th"}
{"subject": "math:Tibor_Szele", "predicate": "proves", "object": "tibor szele (debrecen, 21 june 1918 \u2013 szeged, 5 april 1955) hungarian mathematician, working in comb"}
{"subject": "math:Tetrabutylammonium_tribromide", "predicate": "proves", "object": "tetrabutylammonium tribromide, abbreviated to tbatb, is a pale orange solid with the formula [n(c4h9"}
{"subject": "math:Dmitry_Morduhai-Boltovskoi", "predicate": "proves", "object": "dmitry dmitrievich morduhai-boltovskoi (; pavlovsk, august 8, 1876 \u2013 rostov-on-don, february 7, 1952"}
{"subject": "math:OPS_0855", "predicate": "proves", "object": "ops 0855, also designated ov4-3, was an american boilerplate manned orbiting laboratory spacecraft l"}
{"subject": "math:Primitive_recursive_functional", "predicate": "proves", "object": "in mathematical logic, the primitive recursive functionals are a generalization of primitive recursi"}
{"subject": "math:1967_International_Gold_Cup", "predicate": "proves", "object": "the 14th gold cup was a formula one non-championship race held at oulton park on 16 september 1967. "}
{"subject": "math:Geometric_design", "predicate": "proves", "object": "geometrical design (gd) is a branch of computational geometry. it deals with the construction and re"}
{"subject": "math:1968_International_Gold_Cup", "predicate": "proves", "object": "the 15th gold cup was a motor race, run to formula one rules, held on 17 august 1968 at oulton park,"}
{"subject": "math:Independence_of_premise", "predicate": "proves", "object": "in proof theory and constructive mathematics, the principle of independence of premise states that i"}
{"subject": "math:Molecular_models_of_DNA", "predicate": "proves", "object": "molecular models of dna structures are representations of the molecular geometry and topology of deo"}
{"subject": "math:Fermat_quotient", "predicate": "proves", "object": "in number theory, the fermat quotient of an integer a with respect to an odd prime p is defined as\n\n"}
{"subject": "math:Dioxane_tetraketone", "predicate": "proves", "object": "dioxane tetraketone (or 1,4-dioxane-2,3,5,6-tetrone) is an organic compound with the formula c4o6.  "}
{"subject": "math:Burniat_surface", "predicate": "proves", "object": "in mathematics, a burniat surface is one of the  surfaces of general type introduced by .\n\ninvariant"}
{"subject": "math:Campedelli_surface", "predicate": "proves", "object": "in mathematics, a campedelli surface is one of the  surfaces of general type introduced by campedell"}
{"subject": "math:Sch\u00fctzenberger_group", "predicate": "proves", "object": "in abstract algebra, in semigroup theory, a sch\u00fctzenberger group is a certain group associated with "}
{"subject": "math:Erd\u0151s\u2013Rado_theorem", "predicate": "proves", "object": "in partition calculus, part of combinatorial set theory, a branch of mathematics, the erd\u0151s\u2013rado the"}
{"subject": "math:Homotopy_analysis_method", "predicate": "proves", "object": "the homotopy analysis method (ham) is a semi-analytical technique to solve nonlinear ordinary/partia"}
{"subject": "math:Hardy\u2013Littlewood_Tauberian_theorem", "predicate": "proves", "object": "in mathematical analysis, the hardy\u2013littlewood tauberian theorem is a tauberian theorem relating the"}
{"subject": "math:The_Moon_is_made_of_green_cheese", "predicate": "proves", "object": "\"the moon is made of green cheese\" is a statement referring to a fanciful belief that the moon is co"}
{"subject": "math:1959_Australian_Grand_Prix", "predicate": "proves", "object": "the 1959 australian grand prix was a formula libre motor race held at the longford circuit in tasman"}
{"subject": "math:Josef_Kozeny", "predicate": "proves", "object": "josef alexander kozeny (february 25, 1889 \u2013 april 19, 1967) was an austrian hydraulic engineer and p"}
{"subject": "math:Terra_Modena", "predicate": "proves", "object": "terra modena mechatronic srl is an italian company based in modena, founded in 2015. the owner and f"}
{"subject": "math:Irregularity_of_a_surface", "predicate": "proves", "object": "in mathematics, the irregularity of a complex surface x is the hodge number , usually denoted by q. "}
{"subject": "math:Udwadia\u2013Kalaba_formulation", "predicate": "proves", "object": "in classical mechanics, the udwadia\u2013kalaba formulation is a method for deriving the equations of mot"}
{"subject": "math:Charles_Hermite", "predicate": "proves", "object": "charles hermite () frs frse mias (24 december 1822 \u2013 14 january 1901) was a french mathematician who"}
{"subject": "math:Burke_Corporation", "predicate": "proves", "object": "burke corporation is a manufacturer of pizza toppings and other fully cooked meat products for use i"}
{"subject": "math:\u00c9ric_Cayrolle", "predicate": "proves", "object": "\u00e9ric cayrolle (born 27 august 1962 in pau) is a french auto racing driver.\n\nracing career \nhe is a t"}
{"subject": "math:Scattering_rate", "predicate": "proves", "object": "a formula may be derived mathematically for the rate of scattering when a beam of electrons passes t"}
{"subject": "math:Electron-longitudinal_acoustic_phonon_interaction", "predicate": "proves", "object": "the electron-longitudinal acoustic phonon interaction is an interaction that can take place between "}
{"subject": "math:Imre_B\u00e1r\u00e1ny", "predicate": "proves", "object": "imre b\u00e1r\u00e1ny (m\u00e1ty\u00e1sf\u00f6ld, budapest, 7 december 1947) is a hungarian mathematician, working in combina"}
{"subject": "math:Sodium_butyrate", "predicate": "proves", "object": "sodium butyrate is a compound with formula na(c3h7coo). it is the sodium salt of butyric acid. it ha"}
{"subject": "math:Jordan_frame", "predicate": "proves", "object": "jordan frame may refer to:\n\n jordan and einstein frames, arising in the theory of relativity\n jordan"}
{"subject": "math:1958_Australian_Grand_Prix", "predicate": "proves", "object": "the 1958 australian grand prix was a motor race for formula libre racing cars, held at the mount pan"}
{"subject": "math:Danny_Thompson_(racing_driver)", "predicate": "proves", "object": "danny p. thompson (born october 28, 1948) is an american race car driver and the son of the late mot"}
{"subject": "math:Exchange_current_density", "predicate": "proves", "object": "in electrochemistry, exchange current density is a parameter used in the tafel equation, butler\u2013volm"}
{"subject": "math:AVF", "predicate": "proves", "object": "avf may refer to:\n\nafrikaner volksfront, a south african separatist organization\nauckland volcanic f"}
{"subject": "math:F9_Financial_Reporting", "predicate": "proves", "object": "f9 is a financial reporting software application that dynamically links general ledger data to micro"}
{"subject": "math:Halazone", "predicate": "proves", "object": "halazone (4-(dichlorosulfamoyl)benzoic acid) is a chemical compound whose formula can be written as "}
{"subject": "math:2009_Australian_Formula_Ford_Championship", "predicate": "proves", "object": "the 2009 genuine ford parts australian formula ford championship was a cams sanctioned national moto"}
{"subject": "math:Benzene-1,2-dithiol", "predicate": "proves", "object": "benzene-1,2-dithiol is the organosulfur compound with the formula ch(sh). this colourless viscous li"}
{"subject": "math:Ruled_variety", "predicate": "proves", "object": "in algebraic geometry, a variety over a field k is ruled if it is birational to the product of the p"}
{"subject": "math:3-fold", "predicate": "proves", "object": "in algebraic geometry, a 3-fold or threefold is a 3-dimensional algebraic variety.\n\nthe mori program"}
{"subject": "math:Andr\u00e1s_S\u00e1rk\u00f6zy", "predicate": "proves", "object": "andr\u00e1s s\u00e1rk\u00f6zy (born  in budapest) is a hungarian mathematician, working in analytic and combinatori"}
{"subject": "math:Trifluoromethyltrimethylsilane", "predicate": "proves", "object": "trifluoromethyltrimethylsilane (known as ruppert-prakash reagent, tmscf3) is an organosilicon compou"}
{"subject": "math:Determinantal_variety", "predicate": "proves", "object": "in algebraic geometry, determinantal varieties are spaces of matrices with a given upper bound on th"}
{"subject": "math:Du_Val_singularity", "predicate": "proves", "object": "in algebraic geometry, a du val singularity, also called simple surface singularity, kleinian singul"}
{"subject": "math:Mobile_personnel_shield", "predicate": "proves", "object": "a mobile personnel shield is a type of bulletproof shield equipped with wheels. such devices were em"}
{"subject": "math:Hexachlorocyclopentadiene", "predicate": "proves", "object": "hexachlorocyclopentadiene (hccpd), also known as c-56, graphlox, and hrs 1655, is an organochlorine "}
{"subject": "math:Alan_J._Hoffman", "predicate": "proves", "object": "alan jerome hoffman (may 30, 1924 \u2013 january 18, 2021) was an american mathematician and ibm fellow e"}
{"subject": "math:Triptane", "predicate": "proves", "object": "triptane, or 2,2,3-trimethylbutane, is an organic chemical compound with the molecular formula c7h16"}
{"subject": "math:Stericated_5-simplexes", "predicate": "proves", "object": "in five-dimensional geometry, a stericated 5-simplex is a convex uniform 5-polytope with fourth-orde"}
{"subject": "math:Tetrafluoroammonium", "predicate": "proves", "object": "the tetrafluoroammonium cation (also known as perfluoroammonium) is a positively charged polyatomic "}
{"subject": "math:2-Bromohexane", "predicate": "proves", "object": "2-bromohexane is the organobromine compound with the formula ch3ch(br)(ch2)3ch3.  it is a colorless "}
{"subject": "math:Uniform_honeycombs_in_hyperbolic_space", "predicate": "proves", "object": "in hyperbolic geometry, a uniform honeycomb in hyperbolic space is a uniform tessellation of uniform"}
{"subject": "math:Fujifilm_FinePix_Z-series", "predicate": "proves", "object": "the fujifilm finepix z-series of digital cameras consists of the company's ultra-slim and lightweigh"}
{"subject": "math:Mori_dream_space", "predicate": "proves", "object": "in algebraic geometry, a mori dream space is a projective variety whose cone of effective divisors h"}
{"subject": "math:General_elephant", "predicate": "proves", "object": "in algebraic geometry, general elephant is an idiosyncratic name for a general element of the antica"}
{"subject": "math:Ministry_of_Surface_Transport", "predicate": "proves", "object": "the ministry of surface transport was a branch of the government of india. it was the apex body for "}
{"subject": "math:Fano_fibration", "predicate": "proves", "object": "in algebraic geometry, a fano fibration or fano fiber space, named after gino fano, is a morphism of"}
{"subject": "math:Supersingular_prime_(algebraic_number_theory)", "predicate": "proves", "object": "in algebraic number theory, a supersingular prime for a given elliptic curve is a prime number with "}
{"subject": "math:C10H14", "predicate": "proves", "object": "{{displaytitle:c10h14}}\nthe molecular formula c10h14 may refer to:\n\n c4-benzenes\n butylbenzenes\n n-b"}
{"subject": "math:Nitrosonium_octafluoroxenate(VI)", "predicate": "proves", "object": "nitrosonium octafluoroxenate(vi) is a chemical compound of xenon with nitrogen, oxygen, and fluorine"}
{"subject": "math:Albanian_identity_card", "predicate": "proves", "object": "the albanian identity card (let\u00ebrnjoftim) is a national identity card issued by albanian authorities"}
{"subject": "math:Hexaoxotricyclobutabenzene", "predicate": "proves", "object": "hexaoxotricyclobutabenzene is an organic compound with formula c12o6. it can be viewed as the sixfol"}
{"subject": "math:L\u00e1szl\u00f3_Lempert", "predicate": "proves", "object": "l\u00e1szl\u00f3 lempert (4 june 1952, in budapest) is a hungarian-american mathematician, working in several "}
{"subject": "math:Glicksberg's_theorem", "predicate": "proves", "object": "in the study of zero sum games, glicksberg's theorem (also glicksberg's existence theorem) is a resu"}
{"subject": "math:Kato_theorem", "predicate": "proves", "object": "the kato theorem, or kato's cusp condition (after japanese mathematician tosio kato), is used in com"}
{"subject": "math:Brabham_(surname)", "predicate": "proves", "object": "brabham is a surname. notable people with the surname include:\n\nbrabham racing family\n jack brabham,"}
{"subject": "math:Logarithmic_pair", "predicate": "proves", "object": "in algebraic geometry, a logarithmic pair consists of a variety, together with a divisor along which"}
{"subject": "math:Arrephorion", "predicate": "proves", "object": "the arrephorion or house of the arrephoroi is a building conjectured to have been on the acropolis o"}
{"subject": "math:Jens_H\u00f6ing", "predicate": "proves", "object": "jens h\u00f6ing (born february 21, 1987 in m\u00fcnster) is a german racing driver.\n\ncareer\n\nformula bmw\nafter"}
{"subject": "math:Elliptic_singularity", "predicate": "proves", "object": "in algebraic geometry, an elliptic singularity of a surface, introduced by , is a surface singularit"}
{"subject": "math:Tom_Gladdis", "predicate": "proves", "object": "tom gladdis (born 24 february 1991 on the isle of wight) is a racing driver, currently competing in "}
{"subject": "math:International_Journal_of_Foundations_of_Computer_S", "predicate": "proves", "object": "the international journal of foundations of computer science is a computer science journal published"}
{"subject": "math:Quasistatic_approximation", "predicate": "proves", "object": "quasistatic approximation(s)  refers to different domains and different meanings. in the most common"}
{"subject": "math:C12H16N2", "predicate": "proves", "object": "{{displaytitle:c12h16n2}}\nthe molecular formula c12h16n2 (molar mass: 188.26 g/mol, exact mass: 188."}
{"subject": "math:Germ\u00e1n_S\u00e1nchez_(racing_driver)", "predicate": "proves", "object": "germ\u00e1n s\u00e1nchez flor (born 4 july 1989 in alicante) is a spanish racing driver.\n\ncareer\n\nformula thre"}
{"subject": "math:Hydrazine_sulfate", "predicate": "proves", "object": "hydrazine sulfate, more properly hydrazinium hydrogensulfate, is a salt of the cation hydrazinium an"}
{"subject": "math:Driver's_Eyes", "predicate": "proves", "object": "is a 1991 3d driving simulation arcade game developed and published in japan by namco. the game has "}
{"subject": "math:Winning_Run", "predicate": "proves", "object": "is a first-person arcade racing simulation game developed and published by namco in late december 19"}
{"subject": "math:C20H20", "predicate": "proves", "object": "{{displaytitle:c20h20}}\nthe molecular formula c20h20 (molar mass: 260.37 g/mol, exact mass: 260.1565"}
{"subject": "math:Vanishing_theorem", "predicate": "proves", "object": "in algebraic geometry, a vanishing theorem gives conditions for coherent cohomology groups to vanish"}
{"subject": "math:Ramanujam_vanishing_theorem", "predicate": "proves", "object": "in algebraic geometry, the ramanujam vanishing theorem is an extension of the kodaira vanishing theo"}
{"subject": "math:Kawamata\u2013Viehweg_vanishing_theorem", "predicate": "proves", "object": "in algebraic geometry, the kawamata\u2013viehweg vanishing theorem is an extension of the kodaira vanishi"}
{"subject": "math:Mumford_vanishing_theorem", "predicate": "proves", "object": "in algebraic geometry, the mumford vanishing theorem proved by mumford in 1967 states that if l is a"}
{"subject": "math:Ministry_of_Road_Transport_and_Highways", "predicate": "proves", "object": "the ministry of road transport and highways (morth) is a ministry of the government of india, that i"}
{"subject": "math:Charge_transfer_coefficient", "predicate": "proves", "object": "charge transfer coefficient, and symmetry factor (symbols \u03b1 and \u03b2, respectively) are two related par"}
{"subject": "math:Taurodeoxycholic_acid", "predicate": "proves", "object": "taurodeoxycholic acid is a bile acid.  this compound is a closely related isomer of taurochenodeoxyc"}
{"subject": "math:Grauert\u2013Riemenschneider_vanishing_theorem", "predicate": "proves", "object": "in mathematics, the grauert\u2013riemenschneider vanishing theorem is an extension of the kodaira vanishi"}
{"subject": "math:Du_Bois_singularity", "predicate": "proves", "object": "in algebraic geometry,  du bois singularities are singularities of complex varieties studied by . \n\n"}
{"subject": "math:Krasner's_lemma", "predicate": "proves", "object": "in number theory, more specifically in p-adic analysis, krasner's lemma is a basic result relating t"}
{"subject": "math:Gieseking_manifold", "predicate": "proves", "object": "in mathematics, the gieseking manifold is a cusped hyperbolic 3-manifold of finite volume.  it is no"}
{"subject": "math:H\u00f6lder", "predicate": "proves", "object": "h\u00f6lder:\n h\u00f6lder, hoelder as surname\n h\u00f6lder condition\n h\u00f6lder's inequality\n h\u00f6lder mean\n jordan\u2013h\u00f6ld"}
{"subject": "math:June_2009_in_sports", "predicate": "proves", "object": "\n\ndeaths in june\n\n 1: vincent o'brien\n 2: tony maggs\n 16: peter arundell\n\ncurrent sporting seasons\n\n"}
{"subject": "math:Aluminium(II)_oxide", "predicate": "proves", "object": "aluminium(ii) oxide  or aluminium monoxide is a compound of aluminium and oxygen with the chemical f"}
{"subject": "math:Aluminium_oxides", "predicate": "proves", "object": "aluminium oxides or aluminum oxides are a group of inorganic compounds with formulas including alumi"}
{"subject": "math:Aluminium(I)_oxide", "predicate": "proves", "object": "aluminium(i) oxide is a compound of aluminium and oxygen with the chemical formula al2o. it can be p"}
{"subject": "math:Spherical_segment", "predicate": "proves", "object": "in geometry, a spherical segment is the solid defined by cutting a sphere or a ball with a pair of p"}
{"subject": "math:Morse\u2013Smale_system", "predicate": "proves", "object": "in dynamical systems theory, an area of pure mathematics, a morse\u2013smale system is a smooth dynamical"}
{"subject": "math:Spherical_lune", "predicate": "proves", "object": "in spherical geometry, a spherical lune (or biangle) is an area on a sphere bounded by two half grea"}
{"subject": "math:Michael_M\u00e4llinen", "predicate": "proves", "object": "michael m\u00e4llinen (born march 4, 1958) is a racecar driver from the united states.\n\nhe won several ch"}
{"subject": "math:Homological_integration", "predicate": "proves", "object": "in the mathematical fields of differential geometry and geometric measure theory, homological integr"}
{"subject": "math:Arithmetic_variety", "predicate": "proves", "object": "in mathematics, an arithmetic variety is the quotient space of a hermitian symmetric space  by an ar"}
{"subject": "math:Eigengap", "predicate": "proves", "object": "in linear algebra, the eigengap of a linear operator is the difference between two successive eigenv"}
{"subject": "math:SrCO3", "predicate": "proves", "object": "{{displaytitle:srco3}}\nthe molecular formula srco3 (molar mass: 147.63 g/mol, exact mass: 147.8904 u"}
{"subject": "math:Marc_Hennerici", "predicate": "proves", "object": "marc hennerici (born 10 may 1982 in mayen) is a german auto racing driver. he is best known for bein"}
{"subject": "math:Power\u2013speed_number", "predicate": "proves", "object": "power\u2013speed number or power/speed number (psn) is a sabermetrics baseball statistic developed by bas"}
{"subject": "math:Proof_of_Fermat's_Last_Theorem_for_specific_expone", "predicate": "proves", "object": "fermat's last theorem is a theorem in number theory, originally stated by pierre de fermat in 1637 a"}
{"subject": "math:Proof-number_search", "predicate": "proves", "object": "proof-number search (short: pn search) is a game tree search algorithm invented by victor allis, wit"}
{"subject": "math:List_of_transitive_finite_linear_groups", "predicate": "proves", "object": "in mathematics, especially in areas of abstract algebra and finite geometry, the list of transitive "}
{"subject": "math:Quartet_distance", "predicate": "proves", "object": "the quartet distance is a way of measuring the distance between two phylogenetic trees.  it is defin"}
{"subject": "math:Barry_Mazur", "predicate": "proves", "object": "barry charles mazur (; born december 19, 1937) is an american mathematician and the gerhard gade uni"}
{"subject": "math:Mordell\u2013Weil_theorem", "predicate": "proves", "object": "in mathematics, the mordell\u2013weil theorem states that for an abelian variety  over a number field , t"}
{"subject": "math:1969_Madrid_Grand_Prix", "predicate": "proves", "object": "the 1969 madrid grand prix was a formula one non-championship race held at jarama, madrid on 13 apri"}
{"subject": "math:Bismuth_pentafluoride", "predicate": "proves", "object": "bismuth pentafluoride is an inorganic compound with the formula bif5.  it is a white solid that is h"}
{"subject": "math:Signatech", "predicate": "proves", "object": "signatech, formerly known as signature, is a french auto racing team  and racing car constructor tha"}
{"subject": "math:Jacobi_coordinates", "predicate": "proves", "object": "in the theory of many-particle systems, jacobi coordinates often are used to simplify the mathematic"}
{"subject": "math:Nocturne_in_Black_and_Gold_\u2013_The_Falling_Rocket", "predicate": "proves", "object": "nocturne in black and gold \u2013 the falling rocket is a c. 1875 painting by james mcneill whistler held"}
{"subject": "math:Rollo_Davidson", "predicate": "proves", "object": "rollo davidson (b. bristol, 8 october 1944, d. piz bernina, 29 july 1970) was a probabilist, alpinis"}
{"subject": "math:Southern_Foundries_(1926)_Ltd_v_Shirlaw", "predicate": "proves", "object": "southern foundries (1926) ltd v shirlaw [1940] ac 701 is an important english contract law and compa"}
{"subject": "math:Cynthia_Dwork", "predicate": "proves", "object": "cynthia dwork (born june 27, 1958) is an american computer scientist best known for her contribution"}
{"subject": "math:Benzenesulfonic_acid", "predicate": "proves", "object": "benzenesulfonic acid (conjugate base benzenesulfonate) is an organosulfur compound with the formula "}
{"subject": "math:Spherical_wedge", "predicate": "proves", "object": "in geometry, a spherical wedge or ungula is a portion of a ball  bounded by two plane semidisks and "}
{"subject": "math:Ungula", "predicate": "proves", "object": "in solid geometry, an ungula is a region of a solid of revolution, cut off by a plane oblique to its"}
{"subject": "math:Tietze", "predicate": "proves", "object": "tietze is a german surname, sometimes also spelled tieze.\n\n tietze (surname)\n\nalso:\n\n named for germ"}
{"subject": "math:Vinyl_cation", "predicate": "proves", "object": "the vinyl cation is a carbocation with the positive charge on an alkene carbon. its empirical formul"}
{"subject": "math:1971_Jochen_Rindt_Ged\u00e4chtnisrennen", "predicate": "proves", "object": "the jochen rindt ged\u00e4chtnisrennen or the vi rhein-pokalrennen was a motor race, run to formula one r"}
{"subject": "math:Ammonium_azide", "predicate": "proves", "object": "ammonium azide is the chemical compound with the formula , being the salt of ammonia and hydrazoic a"}
{"subject": "math:Hydrotalcite", "predicate": "proves", "object": "hydrotalcite or formerly also v\u00f6lknerite is a layered double hydroxide (ldh) of general formula \u00b74, "}
{"subject": "math:Adriano_Buzaid", "predicate": "proves", "object": "adriano buzaid (born july 5, 1988) is a brazilian racing driver.\n\ncareer\n\nformula ford\nhaving been a"}
{"subject": "math:Word_and_Object", "predicate": "proves", "object": "word and object is a 1960 work by the philosopher willard van orman quine, in which the author expan"}
{"subject": "math:Museo_Juan_Manuel_Fangio", "predicate": "proves", "object": "the museo juan manuel fangio (juan manuel fangio museum), is a museum of motor racing cars, dedicate"}
{"subject": "math:CSMP_III", "predicate": "proves", "object": "csmp iii, or continuous system modelling program ili is an early scientific computer software design"}
{"subject": "math:Calcium_titanate", "predicate": "proves", "object": "calcium titanate is an inorganic compound with the chemical formula ca ti o3. as a mineral, it is ca"}
{"subject": "math:Rutgers_Formula_Racing", "predicate": "proves", "object": "refer here for more info - updated 2022 website https://www.rutgersformularacing.com/\n\nrutgers formu"}
{"subject": "math:Osmium_dioxide", "predicate": "proves", "object": "osmium dioxide is an inorganic compound with the formula oso2. it exists as brown to black crystalli"}
{"subject": "math:Adrian_Carrio", "predicate": "proves", "object": "adrian \"ace\" carrio (born january 12, 1989) is an american race car driver from monument, colorado.\n"}
{"subject": "math:Mobius_Dick", "predicate": "proves", "object": "mobius dick (2004) is a novel by andrew crumey. \nit features an alternate world in which nazi german"}
{"subject": "math:Ministry_of_the_Interior_(Peru)", "predicate": "proves", "object": "the ministry of the interior of peru is charged with administrating the interior government of peru "}
{"subject": "math:Ministry_of_Production_(Peru)", "predicate": "proves", "object": "the ministry of production of peru is the sector of the executive charged with formulating, approvin"}
{"subject": "math:Germanium_monoselenide", "predicate": "proves", "object": "germanium monoselenide is a chemical compound with the formula gese. it exists as black crystalline "}
{"subject": "math:Al-Hajj_Salim_Suwari", "predicate": "proves", "object": "sheikh al-hajj salim suwari was a 13th-century west african soninke karamogo (islamic scholar) who f"}
{"subject": "math:Regular_surface", "predicate": "proves", "object": "in mathematics,  regular surface may refer to:\n\nregular surface (differential geometry)\nnon-singular"}
{"subject": "math:Menato_Boffa", "predicate": "proves", "object": "menato boffa (4 january 1930 in benevento, italy \u2013 28 september 1996) was an italian racing driver.\n"}
{"subject": "math:RNF", "predicate": "proves", "object": "rnf may refer to:\n\naircraft accident investigation board (iceland) (ranns\u00f3knarnefnd flugslysa)\nring-"}
{"subject": "math:Connected_ring", "predicate": "proves", "object": "in mathematics, especially in the field of commutative algebra, a connected ring is a commutative ri"}
{"subject": "math:Stochastic_quantum_mechanics", "predicate": "proves", "object": "stochastic quantum mechanics (or the stochastic interpretation) is an interpretation of quantum mech"}
{"subject": "math:Denis_Brogniart", "predicate": "proves", "object": "denis brogniart (; born 12 june 1967 in dijon) is a french sport journalist and television host. he "}
{"subject": "math:Meat_and_bone_meal", "predicate": "proves", "object": "meat and bone meal (mbm) is a product of the rendering industry. it is typically about 48\u201352% protei"}
{"subject": "math:The_Butler's_Dilemma", "predicate": "proves", "object": "the butler's dilemma is a 1943 black-and-white british comedy film, directed by leslie s. hiscott an"}
{"subject": "math:John_McCormack_(racing_driver)", "predicate": "proves", "object": "john mccormack is a former australian racing driver. originally from tasmania, mccormack became one "}
{"subject": "math:HaDavar_HaGadol_HaBa", "predicate": "proves", "object": "hadavar hagadol haba () was an israeli television show, based on the formula of got talent series. t"}
{"subject": "math:Vieta_jumping", "predicate": "proves", "object": "in number theory, vieta jumping, also known as root flipping, is a proof technique. it is most often"}
{"subject": "math:Hurwitz's_theorem_(complex_analysis)", "predicate": "proves", "object": "in mathematics and in particular the field of complex analysis,  hurwitz's theorem is a theorem asso"}
{"subject": "math:Hurwitz's_theorem_(number_theory)", "predicate": "proves", "object": "in number theory, hurwitz's theorem, named after adolf hurwitz, gives a bound on a diophantine appro"}
{"subject": "math:Eckmann\u2013Hilton_duality", "predicate": "proves", "object": "in the mathematical disciplines of algebraic topology and homotopy theory, eckmann\u2013hilton duality in"}
{"subject": "math:Federal_Ministry_of_Budget_and_Economic_Planning_(", "predicate": "proves", "object": "the federal ministry of budget and economic planning is one of the federal ministries of nigeria.\n\nh"}
{"subject": "math:Engram_(album)", "predicate": "proves", "object": "engram  is the fourth studio album by beherit. it features a return to a straight black metal style."}
{"subject": "math:1957_Australian_Grand_Prix", "predicate": "proves", "object": "the 1957 australian grand prix was a formula libre motor race held at caversham circuit, western aus"}
{"subject": "math:Magnesium_acetate", "predicate": "proves", "object": "anhydrous magnesium acetate has the chemical formula mg(c2h3o2)2  and in its hydrated form, magnesiu"}
{"subject": "math:San_Juan_Quiahije", "predicate": "proves", "object": "san juan quiahije is a town and municipality in oaxaca in south-western mexico. it is part of the ju"}
{"subject": "math:Chaplygin_gas", "predicate": "proves", "object": "chaplygin gas, which occurs in certain theories of cosmology, is a hypothetical substance that satis"}
{"subject": "math:Generalization_(disambiguation)", "predicate": "proves", "object": "generalization is the formulation of a general concept from specific instances.\n\ngeneralization may "}
{"subject": "math:Mare_Liberum", "predicate": "proves", "object": "mare liberum (or the freedom of the seas) is a book in latin on international law written by the dut"}
{"subject": "math:Conic_bundle", "predicate": "proves", "object": "in algebraic geometry, a conic bundle is an algebraic variety that appears as a solution of a cartes"}
{"subject": "math:Karoubi", "predicate": "proves", "object": "karoubi may refer to:\n\nmax karoubi mathematician who introduced:\nkaroubi conjecture\nkaroubi envelope"}
{"subject": "math:Log_sum_inequality", "predicate": "proves", "object": "the log sum inequality is used for proving theorems in information theory.\n\nstatement\nlet  and  be n"}
{"subject": "math:Vector_(mathematics_and_physics)", "predicate": "proves", "object": "in mathematics and physics, vector is a term that refers colloquially to some quantities that cannot"}
{"subject": "math:Ammonium_cyanide", "predicate": "proves", "object": "ammonium cyanide is an unstable inorganic compound with the formula nh4cn.\n\nuses\nammonium cyanide is"}
{"subject": "math:Kapu\u0101iwa_Building", "predicate": "proves", "object": "the kapu\u0101iwa building at 426 queen street in the capital historic district of honolulu, hawaii, was "}
{"subject": "math:Ammonium_thiocyanate", "predicate": "proves", "object": "ammonium thiocyanate is an inorganic compound with the formula nh4scn. it is the salt of the ammoniu"}
{"subject": "math:2008_Formula_BMW_Americas_season", "predicate": "proves", "object": "the 2008 formula bmw americas season was the fifth season of formula bmw americas, formerly formula "}
{"subject": "math:Sigur\u00f0ur_Helgason_(mathematician)", "predicate": "proves", "object": "sigurdur helgason (born 30 september 1927; icelandic: sigur\u00f0ur) is an icelandic mathematician whose "}
{"subject": "math:1964_British_Saloon_Car_Championship", "predicate": "proves", "object": "the 1964 brscc british saloon car championship, was the seventh season of the championship. it start"}
{"subject": "math:2-Methylpentane", "predicate": "proves", "object": "2-methylpentane, trivially known as isohexane, is a branched-chain alkane with the molecular formula"}
{"subject": "math:Adapalene/benzoyl_peroxide", "predicate": "proves", "object": "adapalene/benzoyl peroxide, sold under the brand name epiduo among others, is a fixed-dose combinati"}
{"subject": "math:Augusto_Scalbi", "predicate": "proves", "object": "augusto mateo scalbi (born july 17, 1990 in buenos aires province) is a professional racing driver f"}
{"subject": "math:Constructible_set_(topology)", "predicate": "proves", "object": "in topology, constructible sets are a class of subsets of a topological space that have a relatively"}
{"subject": "math:Double_layer_potential", "predicate": "proves", "object": "in potential theory, an area of mathematics, a double layer potential is a solution of laplace's equ"}
{"subject": "math:Tasmanian_Super_Prix", "predicate": "proves", "object": "the tasmanian super prix is a motor race for open-wheel racing cars eligible to international formul"}
{"subject": "math:Finitely_presented", "predicate": "proves", "object": "in mathematics, finitely presented may refer to:\n finitely presented group\n finitely presented monoi"}
{"subject": "math:Castrol_performance_index", "predicate": "proves", "object": "the castrol performance index is a ranking system created by castrol for men's club association foot"}
{"subject": "math:PECE", "predicate": "proves", "object": "pece is a technique of handling an implicit ordinary differential equation approximation formula by "}
{"subject": "math:Cattleya_tigrina", "predicate": "proves", "object": "cattleya tigrina is a bifoliate species of cattleya orchid. the diploid chromosome number of c.\u00a0tigr"}
{"subject": "math:John_Booth_(motor_racing)", "predicate": "proves", "object": "john alfred booth (born 18 december 1954 in rotherham, england) is the former director of racing at "}
{"subject": "math:Sonic_Motor_Racing_Services", "predicate": "proves", "object": "sonic motor racing services is an australian racing team that is competes in the porsche carrera cup"}
{"subject": "math:Completeness_of_atomic_initial_sequents", "predicate": "proves", "object": "in sequent calculus, the completeness of atomic initial sequents states that initial sequents  (wher"}
{"subject": "math:Jesse_Krohn", "predicate": "proves", "object": "jesse kurki-suonio (born 3 september 1990), more commonly known as jesse krohn, is a finnish profess"}
{"subject": "math:Funk_transform", "predicate": "proves", "object": "in the mathematical field of integral geometry, the funk transform (also known as minkowski\u2013funk tra"}
{"subject": "math:Arf_ring", "predicate": "proves", "object": "in mathematics, an arf ring was defined by  to be a 1-dimensional commutative semi-local macaulay ri"}
{"subject": "math:List_of_PPAD-complete_problems", "predicate": "proves", "object": "this is a list of ppad-complete problems.\n\nfixed-point theorems \n\n sperner's lemma\n brouwer fixed-po"}
{"subject": "math:CBI_Laboratories", "predicate": "proves", "object": "cbi laboratories, inc. is a company founded in 1982 which develops and manufactures products targeti"}
{"subject": "math:Azaspirodecanedione", "predicate": "proves", "object": "azaspirodecanedione is a chemical compound with the formula c9h13no2. it is a component of the chemi"}
{"subject": "math:Arsenic_pentasulfide", "predicate": "proves", "object": "arsenic pentasulfide is an inorganic compound containing arsenic and sulfur.\n\nuses\nsolids of the app"}
{"subject": "math:Chebyshev_iteration", "predicate": "proves", "object": "in numerical linear algebra, the chebyshev iteration is an\niterative method for determining the solu"}
{"subject": "math:Largest_empty_rectangle", "predicate": "proves", "object": "in computational geometry, the largest empty rectangle problem, maximal empty rectangle problem or m"}
{"subject": "math:Largest_empty_sphere", "predicate": "proves", "object": "in computational geometry, the largest empty sphere problem is the problem of finding a hypersphere "}
{"subject": "math:E._T._Parker", "predicate": "proves", "object": "ernest tilden parker (1926\u20131991) was a professor emeritus of the university of illinois urbana-champ"}
{"subject": "math:Anders_Jonas_\u00c5ngstr\u00f6m", "predicate": "proves", "object": "anders jonas \u00e5ngstr\u00f6m (; 13 august 181421 june 1874) was a swedish physicist and one of the founders"}
{"subject": "math:Value_addition_based_pricing", "predicate": "proves", "object": "presently most companies (especially in manufacturing) have total cost (tc) based pricing method. it"}
{"subject": "math:Trichilemmal_carcinoma", "predicate": "proves", "object": "trichilemmal carcinoma  is a cutaneous condition reported to arise on sun-exposed areas, most common"}
{"subject": "math:Lamination_(topology)", "predicate": "proves", "object": "in topology, a branch of mathematics, a lamination is a :\n \"topological space partitioned into subse"}
{"subject": "math:Proliferating_trichilemmal_cyst", "predicate": "proves", "object": "proliferating trichilemmal cysts (also known as a \"pilar tumor\", \"proliferating follicular cystic ne"}
{"subject": "math:Ladder_operator", "predicate": "proves", "object": "in linear algebra (and its application to quantum mechanics), a raising or lowering operator (collec"}
{"subject": "math:Genus\u2013degree_formula", "predicate": "proves", "object": "in classical algebraic geometry, the genus\u2013degree formula relates the degree d of an irreducible pla"}
{"subject": "math:Solid_lipid_nanoparticle", "predicate": "proves", "object": "lipid nanoparticles (lnps) are nanoparticles composed of lipids.  they are a novel pharmaceutical dr"}
{"subject": "math:Bravig_Imbs", "predicate": "proves", "object": "bravig imbs was an american novelist and poet as well as a broadcaster and newspaperman.\n\nbiography\n"}
{"subject": "math:2008_International_Formula_Master", "predicate": "proves", "object": "the 2008 international formula master season was the second international formula master series seas"}
{"subject": "math:Rangers_F.C._(Superleague_Formula_team)", "predicate": "proves", "object": "rangers fc superleague formula team was the open wheel single seater motor racing team of rangers. t"}
{"subject": "math:Galatasaray_S.K._(Superleague_Formula_team)", "predicate": "proves", "object": "galatasaray s.k. superleague formula team is the superleague formula racing team of galatasaray sk, "}
{"subject": "math:Psilolemma", "predicate": "proves", "object": "psilolemma is a genus of plants in the grass family. the only known species is psilolemma jaegeri, n"}
{"subject": "math:1968_Deutschland_Troph\u00e4e", "predicate": "proves", "object": "the 1968 deutschland troph\u00e4e, also known as the martini gold cup, was a motor race, run to formula t"}
{"subject": "math:Sporting_CP_(Superleague_Formula_team)", "predicate": "proves", "object": "sporting clube de portugal superleague formula team is the racing team of sporting clube de portugal"}
{"subject": "math:Dixanthogen_disulfide", "predicate": "proves", "object": "dixanthogen disulfides are a class of organosulfur compounds with the formula .  usually yellow soli"}
{"subject": "math:Andrew_Majda", "predicate": "proves", "object": "andrew joseph majda (30 january 1949 \u2013 12 march 2021) was an american mathematician and the morse pr"}
{"subject": "math:AC_Milan_(Superleague_Formula_team)", "predicate": "proves", "object": "ac milan superleague formula team was a racing team representing italian football club ac milan in s"}
{"subject": "math:Cyrus_Colton_MacDuffee", "predicate": "proves", "object": "cyrus colton macduffee (june 29, 1895 \u2013 august 21, 1961) from oneida, new york was a professor of ma"}
{"subject": "math:Mapnik", "predicate": "proves", "object": "mapnik is an open-source mapping toolkit for desktop and server based map rendering, written in c++."}
{"subject": "math:AS_Roma_(Superleague_Formula_team)", "predicate": "proves", "object": "a.s. roma superleague formula team was the racing team of a.s. roma, a football team that competes i"}
{"subject": "math:FC_Midtjylland_(Superleague_Formula_team)", "predicate": "proves", "object": "fc midtjylland superleague formula team is the racing team of fc midtjylland, a football team that c"}
{"subject": "math:Robert_Lamplough", "predicate": "proves", "object": "robert \"robs\" lamplough (born 4 june 1940 in gloucester) is a british aviator and former racing driv"}
{"subject": "math:Chemoton", "predicate": "proves", "object": "the term chemoton (short for 'chemical automaton') refers to an abstract model for the fundamental u"}
{"subject": "math:2007_Euroseries_3000", "predicate": "proves", "object": "the 2007 euroseries 3000 season was the ninth euro formula 3000 season. both series were won by ital"}
{"subject": "math:2008_Euroseries_3000", "predicate": "proves", "object": "the 2008 euroseries 3000 season was the tenth euro formula 3000 season. the main series was won by f"}
{"subject": "math:2006_Euroseries_3000", "predicate": "proves", "object": "the 2006 euroseries 3000 was the eighth euro formula 3000 season. the series was won by italian giac"}
{"subject": "math:Van_Dyke_and_Harper_Music", "predicate": "proves", "object": "van dyke and harper music is the second studio album by american horrorcore rapper king gordy. the r"}
{"subject": "math:2006_F3000_International_Masters", "predicate": "proves", "object": "the 2006 f3000 international masters season was the second international formula master series seaso"}
{"subject": "math:Clube_de_Regatas_do_Flamengo_(Superleague_Formula_", "predicate": "proves", "object": "clube de regatas do flamengo superleague formula team is the racing team of clube de regatas do flam"}
{"subject": "math:Sport_Club_Corinthians_Paulista_(Superleague_Formu", "predicate": "proves", "object": "sport club corinthians paulista superleague formula team is the racing team of sport club corinthian"}
{"subject": "math:Allan_Simonsen_(racing_driver)", "predicate": "proves", "object": "allan weel simonsen (5 july 1978\u00a0\u2013 22 june 2013) was a danish racing driver, born in odense. he died"}
{"subject": "math:Perfluorobutanoic_acid", "predicate": "proves", "object": "perfluorobutanoic acid (pfba) is a perfluoroalkyl carboxylic acid with the formula c3f7co2h.  as the"}
{"subject": "math:2010_British_Grand_Prix", "predicate": "proves", "object": "the 2010 british grand prix (formally the 2010 formula 1 santander british grand prix) was the tenth"}
{"subject": "math:Ponte_Tron,_Venice", "predicate": "proves", "object": "{\n  \"type\": \"featurecollection\",\n  \"features\": [\n    {\n      \"type\": \"feature\",\n      \"properties\": "}
{"subject": "math:Lutetium_tantalate", "predicate": "proves", "object": "lutetium tantalate is a chemical compound of lutetium, tantalum and oxygen with the formula lutao4. "}
{"subject": "math:2005_3000_Pro_Series", "predicate": "proves", "object": "the 2005 3000 pro series was the inaugural season of what later would become the international formu"}
{"subject": "math:WePapers", "predicate": "proves", "object": "wepapers is an academic writing and research aid platform that offers content production services, i"}
{"subject": "math:Tottenham_Hotspur_(Superleague_Formula_team)", "predicate": "proves", "object": "tottenham hotspur superleague formula team was the racing team of tottenham hotspur f.c., a football"}
{"subject": "math:Beckstrom's_law", "predicate": "proves", "object": "in economics, beckstrom's law is a model or theorem formulated by rod beckstrom. it purports to answ"}
{"subject": "math:R.S.C._Anderlecht_(Superleague_Formula_team)", "predicate": "proves", "object": "r.s.c. anderlecht superleague formula team is the racing team of r.s.c. anderlecht, a football team "}
{"subject": "math:Bordiga_surface", "predicate": "proves", "object": "in algebraic geometry, a bordiga surface is a certain sort of rational surface of degree\u00a06 in p4, in"}
{"subject": "math:White_surface", "predicate": "proves", "object": "in algebraic geometry, a white surface is one of the rational surfaces in pn studied by , generalizi"}
{"subject": "math:Bicentric_quadrilateral", "predicate": "proves", "object": "in euclidean geometry, a bicentric quadrilateral is a convex quadrilateral that has both an incircle"}
{"subject": "math:Clasper_(mathematics)", "predicate": "proves", "object": "in the mathematical field of low-dimensional topology, a clasper is a surface (with extra structure)"}
{"subject": "math:Butcher_group", "predicate": "proves", "object": "in mathematics,  the butcher group, named after the new zealand mathematician john c. butcher by , i"}
{"subject": "math:Alexander_Sims_(racing_driver)", "predicate": "proves", "object": "alexander george oliver sims (born 15 march 1988, in london) is a british professional racing driver"}
{"subject": "math:Fausto_Ippoliti", "predicate": "proves", "object": "fausto ippoliti (born 25 may 1979) is an italian racing driver from rome.\n\nfausto ippoliti's career\n"}
{"subject": "math:Maxime_Hodencq", "predicate": "proves", "object": "maxime hodencq (born 17 march 1987) is a belgian racing driver from anderlecht.\n\nhodencq moved direc"}
{"subject": "math:Sven_Heidfeld", "predicate": "proves", "object": "sven heidfeld (born 25 october 1978 in m\u00f6nchengladbach, west germany) is a former auto racing driver"}
{"subject": "math:N-ary_group", "predicate": "proves", "object": "in mathematics, and in particular universal algebra, the concept of an n-ary group (also called n-gr"}
{"subject": "math:Edoardo_Bisconcin", "predicate": "proves", "object": "edoardo bisconcin (born 8 october 1972) is a professional motocross,  rally, ferrari challenge europ"}
{"subject": "math:Segre_surface", "predicate": "proves", "object": "in algebraic geometry, a segre surface, studied by  and  , is an intersection of two quadrics in 4-d"}
{"subject": "math:Sarti_surface", "predicate": "proves", "object": "in algebraic geometry, a sarti surface is a degree-12 nodal surface with 600 nodes, found by . the m"}
{"subject": "math:Ch\u00e2telet_surface", "predicate": "proves", "object": "in algebraic geometry, a ch\u00e2telet surface is a rational surface studied by  given by an equation\n\nwh"}
{"subject": "math:2009_European_F3_Open_Championship", "predicate": "proves", "object": "the 2009 european f3 open championship was the first season with the new championship denomination a"}
{"subject": "math:PSV_Eindhoven_(Superleague_Formula_team)", "predicate": "proves", "object": "psv eindhoven superleague formula team was the racing team of psv eindhoven, a football team that co"}
{"subject": "math:Olympique_Lyonnais_(Superleague_Formula_team)", "predicate": "proves", "object": "olympique lyonnais superleague formula team is the racing team of olympique lyonnais, a football tea"}
{"subject": "math:Doob_decomposition_theorem", "predicate": "proves", "object": "in the theory of stochastic processes in discrete time, a part of the mathematical theory of probabi"}
{"subject": "math:2010_Superleague_Formula_season", "predicate": "proves", "object": "the 2010 superleague formula season was the third superleague formula championship. the series was r"}
{"subject": "math:The_House_of_Trent", "predicate": "proves", "object": "the house of trent is a 1933 british drama film directed by norman walker and starring anne grey, we"}
{"subject": "math:Hemeroblemma_opigena", "predicate": "proves", "object": "hemeroblemma opigena is a species of moth in the family erebidae first described by dru drury in 177"}
{"subject": "math:The_Doctor's_Dilemma_(film)", "predicate": "proves", "object": "the doctor's dilemma is a 1958 british comedy-drama film directed by anthony asquith and starring le"}
{"subject": "math:The_Doctor's_Dilemma", "predicate": "proves", "object": "the doctor's dilemma may refer to:\n\n the doctor's dilemma (play), a 1906 work by george bernard shaw"}
{"subject": "math:Lagrangian_mechanics", "predicate": "proves", "object": "in physics, lagrangian mechanics is a formulation of classical mechanics founded on the stationary-a"}
{"subject": "math:Appell\u2013Humbert_theorem", "predicate": "proves", "object": "in mathematics, the appell\u2013humbert theorem describes the line bundles on a complex torus or complex "}
{"subject": "math:Morisita's_overlap_index", "predicate": "proves", "object": "morisita's overlap index, named after masaaki morisita, is a statistical measure of dispersion of in"}
{"subject": "math:Cayley's_ruled_cubic_surface", "predicate": "proves", "object": "in differential geometry, cayley's ruled cubic surface is the ruled cubic surface \n \nit contains a n"}
{"subject": "math:Completely-S_matrix", "predicate": "proves", "object": "in linear algebra, a completely-s matrix is a square matrix such that for every principal submatrix "}
{"subject": "math:1970_Race_of_Champions", "predicate": "proves", "object": "the 5th race of champions was a non-championship motor race, run to formula one rules, held on 22 ma"}
{"subject": "math:1998_Australian_Formula_Ford_Championship", "predicate": "proves", "object": "the 1998 australian formula ford championship was a cams sanctioned australian motor racing title fo"}
{"subject": "math:Beijing_Guoan_(Superleague_Formula_team)", "predicate": "proves", "object": "beijing guoan superleague formula team is the racing team of beijing guoan, a football team that com"}
{"subject": "math:Al_Ain_(Superleague_Formula_team)", "predicate": "proves", "object": "al ain superleague formula team was a motor racing team representing the uae's al ain club in the su"}
{"subject": "math:Olympiacos_CFP_(Superleague_Formula_team)", "predicate": "proves", "object": "olympiacos cfp superleague formula team is the racing team of olympiacos cfp, a major greek multi-sp"}
{"subject": "math:Liverpool_F.C._(Superleague_Formula_team)", "predicate": "proves", "object": "liverpool f.c. superleague formula team was the racing team of liverpool f.c., a football team that "}
{"subject": "math:Borussia_Dortmund_(Superleague_Formula_team)", "predicate": "proves", "object": "borussia dortmund superleague formula team was the racing team of borussia dortmund, a football club"}
{"subject": "math:Atl\u00e9tico_de_Madrid_(Superleague_Formula_team)", "predicate": "proves", "object": "atl\u00e9tico de madrid superleague formula team was a motor racing team representing spain's atl\u00e9tico ma"}
{"subject": "math:FC_Basel_1893_(Superleague_Formula_team)", "predicate": "proves", "object": "fc basel 1893 superleague formula team was a motor racing team representing switzerland's fc basel i"}
{"subject": "math:FC_Porto_(Superleague_Formula_team)", "predicate": "proves", "object": "f.c. porto superleague formula team was the racing team of f.c. porto, a football team that competes"}
{"subject": "math:Sevilla_FC_(Superleague_Formula_team)", "predicate": "proves", "object": "sevilla fc superleague formula team was the racing team of sevilla fc, a football team that competes"}
{"subject": "math:Satisfiability", "predicate": "proves", "object": "in mathematical logic, a formula is satisfiable if it is true under some assignment of values to its"}
{"subject": "math:2009_Formula_BMW_Europe_season", "predicate": "proves", "object": "the 2009 formula bmw europe season was the second season of formula bmw europe championship. the cha"}
{"subject": "math:Furkan", "predicate": "proves", "object": "furkan is a turkish masculine given name, which means \"criterion, proof, evidence, affirmation, test"}
{"subject": "math:Q0", "predicate": "proves", "object": "q0 may refer to:\n a graphics file format with extension .q0\n q0, a formulation of higher-order typed"}
{"subject": "math:W0", "predicate": "proves", "object": "w0 may refer to:\n nominal day, ignoring the variation followed via the equation of time, a variable "}
{"subject": "math:Clapeyron's_theorem_(elasticity)", "predicate": "proves", "object": "in the linear theory of elasticity clapeyron's theorem states that the potential energy of deformati"}
{"subject": "math:Litany_of_the_Eye_of_Horus", "predicate": "proves", "object": "the litany of the eye of horus is an ancient egyptian text in the style of a funerary text, (offerin"}
{"subject": "math:Semi-major_and_semi-minor_axes", "predicate": "proves", "object": "in geometry, the major axis of an ellipse is its longest diameter: a line segment that runs through "}
{"subject": "math:Theorem_of_three_moments", "predicate": "proves", "object": "in civil engineering and structural analysis clapeyron's theorem of three moments is a relationship "}
{"subject": "math:Christian_Menzel", "predicate": "proves", "object": "christian menzel (born 22 june 1971 in langenfeld (rheinland)) is a german racing driver.\n\nhis caree"}
{"subject": "math:Saccheri\u2013Legendre_theorem", "predicate": "proves", "object": "in absolute geometry, the saccheri\u2013legendre theorem states that the sum of the angles in a triangle "}
{"subject": "math:Daniel_P._Sanders", "predicate": "proves", "object": "daniel p. sanders is an american mathematician. he is known for his 1996 efficient proof (algorithm)"}
{"subject": "math:Burkhardt_quartic", "predicate": "proves", "object": "in mathematics, the burkhardt quartic is a quartic threefold in 4-dimensional projective space studi"}
{"subject": "math:/s/", "predicate": "proves", "object": "/s/ may refer to:\n\nsignature, a mark that a person writes on documents as a proof of identity and in"}
{"subject": "math:Igusa_quartic", "predicate": "proves", "object": "in algebraic geometry, the igusa quartic (also called the castelnuovo\u2013richmond quartic  cr4 or the c"}
{"subject": "math:Segre_cubic", "predicate": "proves", "object": "in algebraic geometry, the segre cubic is a cubic threefold embedded in 4 (or sometimes 5) dimension"}
{"subject": "math:Benzotriyne", "predicate": "proves", "object": "benzotriyne or cyclo[6]carbon is a hypothetical compound, an allotrope of carbon with molecular form"}
{"subject": "math:Barth\u2013Nieto_quintic", "predicate": "proves", "object": "in algebraic geometry, the  barth\u2013nieto quintic is a quintic 3-fold in 4 (or sometimes 5) dimensiona"}
{"subject": "math:Poly(dichlorophosphazene)", "predicate": "proves", "object": "poly(dichlorophosphazene), also called dichlorophosphazine polymer or phosphonitrilechloride polymer"}
{"subject": "math:Watson_v._Fort_Worth_Bank_&_Trust", "predicate": "proves", "object": "watson v. fort worth bank & trust, 487 u.s. 977 (1988), is a united states supreme court case on uni"}
{"subject": "math:Coble_surface", "predicate": "proves", "object": "in algebraic geometry, a coble surface was defined by  to be a  smooth rational projective surface w"}
{"subject": "math:Coble_curve", "predicate": "proves", "object": "in algebraic geometry, a coble curve is an irreducible degree-6 planar curve with 10 double points ("}
{"subject": "math:Coble_hypersurface", "predicate": "proves", "object": "in algebraic geometry, a coble hypersurface is one of the hypersurfaces associated to the jacobian v"}
{"subject": "math:St._Mary's_Honor_Center_v._Hicks", "predicate": "proves", "object": "st. mary's honor center v. hicks, 509 u.s. 502 (1993), was a us labor law case before the united sta"}
{"subject": "math:C20H30O2", "predicate": "proves", "object": "{{displaytitle:c20h30o2}}\nthe molecular formula c20h30o2 (molar mass : 302.45 g/mol, exact mass : 30"}
{"subject": "math:C12H10", "predicate": "proves", "object": "{{displaytitle:c12h10}}\nthe molecular formula c12h10 may refer to:\n\nacenaphthene\nbenzocyclooctatetra"}
{"subject": "math:C12H8", "predicate": "proves", "object": "{{displaytitle:c12h8}}\nthe molecular formula c12h8 (molar mass: 152.19 g/mol, exact mass: 152.0626 u"}
{"subject": "math:C19H22N2OS", "predicate": "proves", "object": "{{displaytitle:c19h22n2os}}\nthe molecular formula c19h22n2os (molar mass: 326.45 g/mol, exact mass: "}
{"subject": "math:C13H9N", "predicate": "proves", "object": "{{displaytitle:c13h9n}}\nthe molecular formula c13h9n (molar mass: 179.22 g/mol, exact mass: 179.0735"}
{"subject": "math:C17H19N3", "predicate": "proves", "object": "{{displaytitle:c17h19n3}}\nthe molecular formula c17h19n3 (molar mass : 265.35 g/mol) may refer to:\n\n"}
{"subject": "math:C3H3N", "predicate": "proves", "object": "{{displaytitle:c3h3n}}\nthe molecular formula c3h3n (molar mass: 53.06 g/mol, exact mass: 53.0266 u) "}
{"subject": "math:Corner-point_grid", "predicate": "proves", "object": "in geometry, a corner-point grid is a tessellation of a euclidean 3d volume, where the base cell has"}
{"subject": "math:Dana_Tomlin", "predicate": "proves", "object": "charles dana tomlin is an author, professor, and originator of map algebra, a vocabulary and concept"}
{"subject": "math:C10H13N5O4", "predicate": "proves", "object": "{{displaytitle:c10h13n5o4}}\nthe molecular formula c10h13n5o4 (molar mass: 267.24 g/mol) may refer to"}
{"subject": "math:C9H9NO3", "predicate": "proves", "object": "{{displaytitle:c9h9no3}}\nthe molecular formula c9h9no3 (molar mass: 179.175 g/mol) may refer to:\n\n a"}
{"subject": "math:C21H28O5", "predicate": "proves", "object": "{{displaytitle:c21h28o5}}\nthe molecular formula c21h28o5 (molar mass: 360.44 g/mol, exact mass: 360."}
{"subject": "math:C25H54ClN", "predicate": "proves", "object": "{{displaytitle:c25h54cln}}\nthe molecular formula c25h54cln (molar mass: 404.16 g/mol) may refer to:\n"}
{"subject": "math:C14H8O4", "predicate": "proves", "object": "{{displaytitle:c14h8o4}}\nthe molecular formula c14h8o4 (molar mass : 240.21 g/mol) may refer to:\n\n a"}
{"subject": "math:C3H5Cl", "predicate": "proves", "object": "{{displaytitle:c3h5cl}}\nthe molecular formula c3h5cl may refer to:\n\n allyl chloride\n chlorocycloprop"}
{"subject": "math:C7H7NO2", "predicate": "proves", "object": "{{displaytitle:c7h7no2}}\nthe molecular formula c7h7no2 (molar mass: 137.14 g/mol) may refer to:\n\n am"}
{"subject": "math:C6H15N3", "predicate": "proves", "object": "{{displaytitle:c6h15n3}}\nthe molecular formula c6h15n3 (molar mass: 129.2 g/mol) may refer to:\n\n ace"}
{"subject": "math:C7H7NO3", "predicate": "proves", "object": "{{displaytitle:c7h7no3}}\nthe molecular formula c7h7no3 may refer to:\n\n aminosalicylic acids\n 4-amino"}
{"subject": "math:C11H18N2O3", "predicate": "proves", "object": "{{displaytitle:c11h18n2o3}}\n\nthe molecular formula c11h18n2o3 (molar mass: 226.27 g/mol) may be refe"}
{"subject": "math:C9H13N", "predicate": "proves", "object": "{{displaytitle:c9h13n}}\nthe molecular formula c9h13n may refer to:\n dimethylbenzylamine\n methylphene"}
{"subject": "math:C16H19N3O5S", "predicate": "proves", "object": "{{displaytitle:c16h19n3o5s}}\nthe molecular formula c16h19n3o5s (molar mass: 365.4 g/mol) may refer t"}
{"subject": "math:C5H11NO3", "predicate": "proves", "object": "{{displaytitle:c5h11no3}}\nthe molecular formula c5h11no3 (molar mass: 133.15 g/mol) may refer to:\n\n "}
{"subject": "math:C10H12O", "predicate": "proves", "object": "{{displaytitle:c10h12o}}\nthe molecular formula c10h12o (molar mass: 148.2 g/mol, exact mass: 148.088"}
{"subject": "math:C8H7ClO2", "predicate": "proves", "object": "{{displaytitle:c8h7clo2}}\nthe molecular formula c8h7clo2 (molar mass: 170.59 g/mol, exact mass: 170."}
{"subject": "math:C22H12", "predicate": "proves", "object": "{{displaytitle:c22h12}}\nthe molecular formula c22h12 (molar mass: 276.33 g/mol, exact mass: 276.0939"}
{"subject": "math:C14H8O2", "predicate": "proves", "object": "{{displaytitle:c14h8o2}}\nthe molecular formula c14h8o2 (molar mass: 208.216 g/mol)\nmay refer to:\n\n a"}
{"subject": "math:C14H10O", "predicate": "proves", "object": "{{displaytitle:c14h10o}}\nthe molecular formula c14h10o (molar mass: 194.23 g/mol) may refer to:\n\n an"}
{"subject": "math:C11H12N2O", "predicate": "proves", "object": "{{displaytitle:c11h12n2o}}\nthe molecular formula c11h12n2o (molar mass: 188.23 g/mol) may refer to:\n"}
{"subject": "math:C6H14N4O2", "predicate": "proves", "object": "{{displaytitle:c6h14n4o2}}\nthe molecular formula c6h14n4o2 (molar mass: 174.20 g/mol, exact mass: 17"}
{"subject": "math:C4H8N2O3", "predicate": "proves", "object": "{{displaytitle:c4h8n2o3}}\nthe molecular formula c4h8n2o3 may refer to:\n\n asparagine\n glycylglycine\n "}
{"subject": "math:C14H18N2O5", "predicate": "proves", "object": "{{displaytitle:c14h18n2o5}}\nthe molecular formula c14h18n2o5 (molar mass: 294.303 g/mol, exact mass:"}
{"subject": "math:C20H22O3", "predicate": "proves", "object": "{{displaytitle:c20h22o3}}\nthe molecular formula c20h22o3 (molar mass: 310.39 g/mol, exact mass: 310."}
{"subject": "math:C12H10N2", "predicate": "proves", "object": "{{displaytitle:c12h10n2}}\nthe molecular formula c12h10n2 (molar mass: 182.22 g/mol) may refer to:\n\n "}
{"subject": "math:C14H18N4O3", "predicate": "proves", "object": "{{displaytitle:c14h18n4o3}}\nthe molecular formula c14h18n4o3 (molar mass: 290.318 g/mol, exact mass:"}
{"subject": "math:C7H6O", "predicate": "proves", "object": "{{displaytitle:c7h6o}}\nthe molecular formula c7h6o (molar mass: 106.12 g/mol, exact mass: 106.0419 u"}
{"subject": "math:C7H7NO", "predicate": "proves", "object": "{{displaytitle:c7h7no}}\nthe molecular formula c7h7no (molar mass: 121.14 g/mol, exact mass: 121.0528"}
{"subject": "math:C12H12N2", "predicate": "proves", "object": "{{displaytitle:c12h12n2}}\nthe molecular formula c12h12n2 (molar mass: 184.24 g/mol) may refer to:\n\n "}
{"subject": "math:C14H10O2", "predicate": "proves", "object": "{{displaytitle:c14h10o2}}\nthe molecular formula c14h10o2 (molar mass: 210.23 g/mol, exact mass: 210."}
{"subject": "math:C14H12O3", "predicate": "proves", "object": "{{displaytitle:c14h12o3}}\nthe molecular formula c14h12o3 (molar mass: 228.25 g/mol, exact mass: 228."}
{"subject": "math:C7H6N2", "predicate": "proves", "object": "{{displaytitle:c7h6n2}}\nthe molecular formula c7h6n2 may refer to:\n benzimidazole, a heterocyclic ar"}
{"subject": "math:C7H5NO", "predicate": "proves", "object": "{{displaytitle:c7h5no}}\nthe molecular formula c7h5no (molar mass: 119.12 g/mol, exact mass: 119.0371"}
{"subject": "math:C12H8N2", "predicate": "proves", "object": "{{displaytitle:c12h8n2}}\nthe molecular formula c12h8n2 (molar mass: 180.21 g/mol, exact mass: 180.06"}
{"subject": "math:C20H12", "predicate": "proves", "object": "{{displaytitle:c20h12}}\nthe molecular formula c20h12 may refer to:\n\n benzofluoranthene\n benzo[a]fluo"}
{"subject": "math:C9H11NO2", "predicate": "proves", "object": "{{displaytitle:c9h11no2}}\nthe molecular formula c9h11no2 (molar mass: 165.18 g/mol, exact mass: 165."}
{"subject": "math:C7H6O2", "predicate": "proves", "object": "the molecular formula c7h6o2 (molar mass: 122.12 g/mol, exact mass: 122.036779 u) may refer to:\n\n be"}
{"subject": "math:C14H12O2", "predicate": "proves", "object": "{{displaytitle:c14h12o2}}\nthe molecular formula c14h12o2 (molar mass : 212.24 g/mol, exact mass: 212"}
{"subject": "math:C7H5NS", "predicate": "proves", "object": "{{displaytitle:c7h5ns}}\nthe molecular formula c7h5ns (molar mass: 135.19 g/mol, exact mass: 135.0143"}
{"subject": "math:C8H6S", "predicate": "proves", "object": "{{displaytitle:c8h6s}}\nthe molecular formula c8h6s (molar mass: 134.20 g/mol, exact mass: 134.0190 u"}
{"subject": "math:C7H5ClO", "predicate": "proves", "object": "{{displaytitle:c7h5clo}}\nthe molecular formula c7h5clo may refer to:\n\n benzoyl chloride\n chlorobenza"}
{"subject": "math:C7H8O", "predicate": "proves", "object": "{{displaytitle:c7h8o}}\nthe molecular formula c7h8o (molar mass: 108.13 g/mol, exact mass: 108.057515"}
{"subject": "math:C7H9N", "predicate": "proves", "object": "{{displaytitle:c7h9n}}\nthe molecular formula c7h9n may refer to:\n\n benzylamine\n lutidines (dimethylp"}
{"subject": "math:C10H10O", "predicate": "proves", "object": "{{displaytitle:c10h10o}}\nthe molecular formula c10h10o (molar mass: 146.19 g/mol, exact mass: 146.07"}
{"subject": "math:C30H50O2", "predicate": "proves", "object": "{{displaytitle:c30h50o2}}\nthe molecular formula c30h50o2 (molar mass: 442.71 g/mol, exact mass: 442."}
{"subject": "math:C10H16N2O3S", "predicate": "proves", "object": "{{displaytitle:c10h16n2o3s}}\nthe molecular formula c10h16n2o3s (molar mass : 244.31 g/mol) may refer"}
{"subject": "math:C10H8N2", "predicate": "proves", "object": "{{displaytitle:c10h8n2}}\nthe molecular formula c10h8n2 (molar mass: 156.18 g/mol, exact mass: 156.06"}
{"subject": "math:C14H18N2", "predicate": "proves", "object": "{{displaytitle:c14h18n2}}\nthe molecular formula c14h18n2 (molar mass: 214.31 g/mol) may refer to:\n\n "}
{"subject": "math:C2H4Cl2O", "predicate": "proves", "object": "{{displaytitle:c2h4cl2o}}\nthe molecular formula c2h4cl2o (molar mass: 114.96 g/mol, exact mass: 113."}
{"subject": "math:C15H16O2", "predicate": "proves", "object": "{{displaytitle:c15h16o2}}\nthe molecular formula c15h16o2 (molar mass: 228.29 g/mol, exact mass: 228."}
{"subject": "math:C10H18O", "predicate": "proves", "object": "{{displaytitle:c10h18o}}\nthe molecular formula c10h18o (molar mass : 154.25 g/mol) may refer to:\n\n b"}
{"subject": "math:Isserlis'_theorem", "predicate": "proves", "object": "in probability theory, isserlis' theorem or wick's probability theorem is a formula that allows one "}
{"subject": "math:July_2009_in_sports", "predicate": "proves", "object": "\n\ndeaths in july\n\n 31: bobby robson\n 25: vernon forrest\n 19: henry surtees\n 18: ricardo londo\u00f1o\n 11:"}
{"subject": "math:Mixed_motive", "predicate": "proves", "object": "mixed motive may refer to:\n\nmixed motives (math), voevodsky's construction of the derived category o"}
{"subject": "math:Weddle_surface", "predicate": "proves", "object": "in algebraic geometry, a weddle surface, introduced by , is a quartic surface in 3-dimensional proje"}
{"subject": "math:Pl\u00fccker_surface", "predicate": "proves", "object": "in algebraic geometry, a pl\u00fccker surface, studied by , is a quartic surface in 3-dimensional project"}
{"subject": "math:C5H14N2", "predicate": "proves", "object": "{{displaytitle:c5h14n2}}\nthe molecular formula c5h14n2 (molar mass: 102.17 g/mol, exact mass: 102.11"}
{"subject": "math:C15H24", "predicate": "proves", "object": "{{displaytitle:c15h24}}\nthe molecular formula c15h24 (molar mass : 204.35 g/mol) may refer to:\n\nsesq"}
{"subject": "math:C20H28O3", "predicate": "proves", "object": "{{displaytitle:c20h28o3}}\nthe molecular formula c20h28o3 may refer to:\n\n cafestol\n enestebol\n geston"}
{"subject": "math:C21H26O2", "predicate": "proves", "object": "{{displaytitle:c21h26o2}}\nthe molecular formula c21h26o2 (molar mass : 310.42 g/mol, exact mass : 31"}
{"subject": "math:C12H15NO3", "predicate": "proves", "object": "{{displaytitle:c12h15no3}}\nthe molecular formula c12h15no3 (molar mass : 221.25 g/mol) may refer to "}
{"subject": "math:Specht's_theorem", "predicate": "proves", "object": "in mathematics, specht's theorem gives a necessary and sufficient condition for two complex matrices"}
{"subject": "math:Line_complex", "predicate": "proves", "object": "in algebraic geometry, a line complex is a 3-fold given by the intersection of the grassmannian g(2,"}
{"subject": "math:Stefan_M\u00fccke", "predicate": "proves", "object": "stefan m\u00fccke (born 22 november 1981) is a german racing driver.\n\nracing career\nborn in berlin, m\u00fccke"}
{"subject": "math:Spherical_image", "predicate": "proves", "object": "in differential geometry, the spherical image of a unit-speed curve is given by taking the curve's t"}
{"subject": "math:Restricted_isometry_property", "predicate": "proves", "object": "in linear algebra, the restricted isometry property (rip) characterizes matrices which are nearly or"}
{"subject": "math:C7H15NO3", "predicate": "proves", "object": "{{displaytitle:c7h15no3}}\nthe molecular formula c7h15no3 may refer to:\n\n carnitine, a quaternary amm"}
{"subject": "math:C10H14O", "predicate": "proves", "object": "{{displaytitle:c10h14o}}\nthe molecular formula c10h14o (molar mass: 150.22 g/mol, exact mass: 150.10"}
{"subject": "math:William_Dakins", "predicate": "proves", "object": "william dakins (died 1607) was an english academic and clergyman, gresham professor of divinity and "}
{"subject": "math:C2HCl3O", "predicate": "proves", "object": "{{displaytitle:c2hcl3o}}\nthe molecular formula c2hcl3o (molar mass: 147.39 g/mol, exact mass: 145.90"}
{"subject": "math:Ralph_Button", "predicate": "proves", "object": "ralph button (died 1680) was an english academic and clergyman, gresham professor of geometry, canon"}
{"subject": "math:Raimund_Seidel", "predicate": "proves", "object": "raimund g. seidel is a german and austrian theoretical computer scientist and an expert in computati"}
{"subject": "math:C2H3ClO2", "predicate": "proves", "object": "{{displaytitle:c2h3clo2}} \nthe molecular formula c2h3clo2 may refer to:\n\n chloroacetic acid, organoc"}
{"subject": "math:C7H5ClO2", "predicate": "proves", "object": "{{displaytitle:c7h5clo2}}\nthe molecular formula c7h5clo2 (molar mass: 156.57 g/mol, exact mass: 155."}
{"subject": "math:Desmic_system", "predicate": "proves", "object": "in projective geometry, a desmic system () is a set of three tetrahedra in 3-dimensional projective "}
{"subject": "math:1993_FIVB_Volleyball_Women's_World_Grand_Champions", "predicate": "proves", "object": "the first world grand champions cup women's volleyball was held in japan from 16 to 21 november 1993"}
{"subject": "math:1997_FIVB_Volleyball_Women's_World_Grand_Champions", "predicate": "proves", "object": "the second volleyball world grand champions cup women's volleyball was held in japan at 14 to 23 nov"}
{"subject": "math:Richard_Dedekind", "predicate": "proves", "object": "julius wilhelm richard dedekind  (6 october 1831 \u2013 12 february 1916) was a german mathematician who "}
{"subject": "math:Henri_Darmon", "predicate": "proves", "object": "henri rene darmon (born 22 october 1965) is a french-canadian mathematician. he is a number theorist"}
{"subject": "math:Chloroacetaldehyde", "predicate": "proves", "object": "chloroacetaldehyde is an organic compound with the formula  clch2cho. like some related compounds, i"}
{"subject": "math:Polar_hypersurface", "predicate": "proves", "object": "in algebraic geometry, given a projective algebraic hypersurface  described by the homogeneous equat"}
{"subject": "math:List_of_1974_motorsport_champions", "predicate": "proves", "object": "this list of 1974 motorsport champions is a list of national or international auto racing series wit"}
{"subject": "math:List_of_1972_motorsport_champions", "predicate": "proves", "object": "this list of 1972 motorsport champions is a list of national or international auto racing series wit"}
{"subject": "math:List_of_1971_motorsport_champions", "predicate": "proves", "object": "this list of 1971 motorsport champions is a list of national or international auto racing series wit"}
{"subject": "math:Closed_range_theorem", "predicate": "proves", "object": "in the mathematical theory of banach spaces, the closed range theorem gives necessary and sufficient"}
{"subject": "math:List_of_1970_motorsport_champions", "predicate": "proves", "object": "this list of 1970 motorsport champions is a list of national or international auto racing series wit"}
{"subject": "math:List_of_1969_motorsport_champions", "predicate": "proves", "object": "this list of 1969 motorsport champions is a list of national or international auto racing series wit"}
{"subject": "math:List_of_1968_motorsport_champions", "predicate": "proves", "object": "this list of 1968 motorsport champions is a list of national or international auto racing series wit"}
{"subject": "math:List_of_1967_motorsport_champions", "predicate": "proves", "object": "this list of 1967 motorsport champions is a list of national or international auto racing series wit"}
{"subject": "math:List_of_1966_motorsport_champions", "predicate": "proves", "object": "this list of 1966 motorsport champions is a list of national or international auto racing series wit"}
{"subject": "math:List_of_1965_motorsport_champions", "predicate": "proves", "object": "this is a list of the winners of national and international auto racing championships and series whi"}
{"subject": "math:List_of_1964_motorsport_champions", "predicate": "proves", "object": "this list of 1964 motorsport champions is a list of national or international auto racing series wit"}
{"subject": "math:List_of_1963_motorsport_champions", "predicate": "proves", "object": "this list of 1963 motorsport champions is a list of national or international auto racing series wit"}
{"subject": "math:List_of_1962_motorsport_champions", "predicate": "proves", "object": "this list of 1962 motorsport champions is a list of national or international auto racing series wit"}
{"subject": "math:List_of_1961_motorsport_champions", "predicate": "proves", "object": "this list of 1961 motorsport champions is a list of national or international auto racing series wit"}
{"subject": "math:List_of_1960_motorsport_champions", "predicate": "proves", "object": "this list of 1960 motorsport champions is a list of national or international auto racing series wit"}
{"subject": "math:List_of_1959_motorsport_champions", "predicate": "proves", "object": "this list of 1959 motorsport champions is a list of national or international auto racing series wit"}
{"subject": "math:List_of_1958_motorsport_champions", "predicate": "proves", "object": "this list of 1958 motorsport champions is a list of national or international auto racing series wit"}
{"subject": "math:List_of_1957_motorsport_champions", "predicate": "proves", "object": "this list of 1957 motorsport champions is a list of national or international auto racing series wit"}
{"subject": "math:List_of_1956_motorsport_champions", "predicate": "proves", "object": "this list of 1956 motorsport champions is a list of national or international auto racing series wit"}
{"subject": "math:List_of_1955_motorsport_champions", "predicate": "proves", "object": "this list of 1955 motorsport champions is a list of national or international auto racing series wit"}
{"subject": "math:List_of_1954_motorsport_champions", "predicate": "proves", "object": "this list of 1954 motorsport champions is a list of national or international auto racing series wit"}
{"subject": "math:List_of_1953_motorsport_champions", "predicate": "proves", "object": "this list of 1953 motorsport champions is a list of national or international auto racing series wit"}
{"subject": "math:List_of_1952_motorsport_champions", "predicate": "proves", "object": "this list of 1952 motorsport champions is a list of national or international auto racing series wit"}
{"subject": "math:List_of_1951_motorsport_champions", "predicate": "proves", "object": "this list of 1951 motorsport champions is a list of national or international auto racing series wit"}
{"subject": "math:List_of_1950_motorsport_champions", "predicate": "proves", "object": "this list of 1950 motorsport champions is a list of national or international auto racing series wit"}
{"subject": "math:Tongbaite", "predicate": "proves", "object": "tongbaite is a rare mineral that has the chemical formula cr3c2, or chromium carbide.\n\nit was first "}
{"subject": "math:Whole_Azerbaijan", "predicate": "proves", "object": "whole azerbaijan () is an irredentist concept of uniting presumed historically azerbaijani-inhabited"}
{"subject": "math:Proofs_involving_ordinary_least_squares", "predicate": "proves", "object": "the purpose of this page is to provide supplementary materials for the ordinary least squares articl"}
{"subject": "math:1993_FIVB_Volleyball_Men's_World_Grand_Champions_C", "predicate": "proves", "object": "the 1993 fivb volleyball men's world grand champions cup was held in japan from 23 to 28 november 19"}
{"subject": "math:1997_FIVB_Volleyball_Men's_World_Grand_Champions_C", "predicate": "proves", "object": "the 1997 fivb volleyball men's world grand champions cup was held in japan from 15 to 24 november 19"}
{"subject": "math:Quasiregular_element", "predicate": "proves", "object": "this article addresses the notion of quasiregularity in the context of ring theory, a branch of mode"}
{"subject": "math:Quasiregular", "predicate": "proves", "object": "in mathematics, quasiregular may refer to:\n\n quasiregular element, in the context of ring theory\n qu"}
{"subject": "math:Albert\u2013Brauer\u2013Hasse\u2013Noether_theorem", "predicate": "proves", "object": "in algebraic number theory, the albert\u2013brauer\u2013hasse\u2013noether theorem states that a central simple alg"}
{"subject": "math:Benzenehexol", "predicate": "proves", "object": "benzenehexol, also called hexahydroxybenzene, is an organic compound with formula  or . it is a six-"}
{"subject": "math:Le_Mans_Prototype_Challenge", "predicate": "proves", "object": "the le mans prototype challenge (shortened to lmp challenge or lmpc) was a spec sports prototype for"}
{"subject": "math:Tetrahydroxy-1,4-benzoquinone", "predicate": "proves", "object": "tetrahydroxy-1,4-benzoquinone, also called tetrahydroxy-p-benzoquinone, tetrahydroxybenzoquinone, or"}
{"subject": "math:Uniform_honeycomb", "predicate": "proves", "object": "in geometry, a uniform honeycomb or uniform tessellation or infinite uniform polytope, is a vertex-t"}
{"subject": "math:Cor_Euser", "predicate": "proves", "object": "cornelius \"cor\" euser (born april 25, 1957) is a dutch racing driver from oss. his son michael is al"}
{"subject": "math:CarProof", "predicate": "proves", "object": "carproof is a canadian provider of vehicle history and valuation reports used by consumers and busin"}
{"subject": "math:2009_Formula_Le_Mans_Cup", "predicate": "proves", "object": "the 2009 formula le mans cup season was the only season of the formula le mans cup, a support series"}
{"subject": "math:Debridement_(dental)", "predicate": "proves", "object": "in dentistry, debridement refers to the removal by dental cleaning of accumulations of plaque and ca"}
{"subject": "math:Christoph_Rudolff", "predicate": "proves", "object": "christoph rudolff (born 1499 in jawor, silesia, died 1545 in vienna) was the author of the first ger"}
{"subject": "math:Polonium_dichloride", "predicate": "proves", "object": "polonium dichloride is a chemical compound of the radioactive metalloid, polonium and chlorine. its "}
{"subject": "math:Thread-locking_fluid", "predicate": "proves", "object": "thread-locking fluid or threadlocker is a single-component adhesive, applied to the threads of faste"}
{"subject": "math:1956_Australian_Grand_Prix", "predicate": "proves", "object": "the 1956 australian grand prix was a motor race for formula libre cars held at albert park street ci"}
{"subject": "math:Nigel_Greenwood_(art_dealer)", "predicate": "proves", "object": "nigel palin greenwood (28 may 1941 \u2013 14 april 2004) was a british art dealer.\n\nearly career\nnigel gr"}
{"subject": "math:C27H46O", "predicate": "proves", "object": "{{displaytitle:c27h46o}}\nthe molecular formula c27h46o (molar mass: 386.65 g/mol, exact mass: 386.35"}
{"subject": "math:C19H22N2O", "predicate": "proves", "object": "{{displaytitle:c19h22n2o}}\nthe molecular formula c19h22n2o may refer to:\n\n amedalin\n cinchonidine\n c"}
{"subject": "math:C9H8O", "predicate": "proves", "object": "{{displaytitle:c9h8o}}\nthe molecular formula c9h8o may refer to:\n\n acrylophenone, an organic compoun"}
{"subject": "math:C9H10O", "predicate": "proves", "object": "{{displaytitle:c9h10o}}\nthe molecular formula c9h10o (molar mass: 134.17 g/mol) may refer to:\n\n ally"}
{"subject": "math:C8H6N2", "predicate": "proves", "object": "{{displaytitle:c8h6n2}}\nthe molecular formula c8h6n2 (molar mass: 130.15 g/mol) may refer to:\n\n cinn"}
{"subject": "math:Geometry_(Jega_album)", "predicate": "proves", "object": "geometry is the second album by the electronic musician jega, released in 2000 on the planet mu and "}
{"subject": "math:Dense_set", "predicate": "proves", "object": "in topology and related areas of mathematics, a subset a of a topological space x is said to be dens"}
{"subject": "math:Synge's_theorem", "predicate": "proves", "object": "in mathematics, specifically riemannian geometry, synge's theorem is a classical result relating the"}
{"subject": "math:Lemonal", "predicate": "proves", "object": "lemonal may refer to:\n lemonal, belize, a village in belize district, belize\n citral, a chemical wit"}
{"subject": "math:C9H6O2", "predicate": "proves", "object": "{{displaytitle:c9h6o2}}\nthe molecular formula c9h6o2 (molar mass: 146.14 g/mol, exact mass: 146.0367"}
{"subject": "math:C4H9N3O2", "predicate": "proves", "object": "{{displaytitle:c4h9n3o2}}\nthe molecular formula c4h9n3o2 (molar mass: 131.13 g/mol) may refer to:\n\n "}
{"subject": "math:C9H12", "predicate": "proves", "object": "{{displaytitle:c9h12}}\nthe molecular formula c9h12 may refer to:\n\n c3-benzenes\npropylbenzenes\ncumene"}
{"subject": "math:C6H9N3O2", "predicate": "proves", "object": "{{displaytitle:c6h9n3o2}}\nthe molecular formula c6h9n3o2 (molar mass: 155.15 g/mol, exact mass: 155."}
{"subject": "math:C13H24N2O", "predicate": "proves", "object": "the molecular formula c13h24n2o (molar mass: 224.34 g/mol, exact mass: 224.1889 u) may refer to:\n\n c"}
{"subject": "math:Blasphemy_law_in_Saudi_Arabia", "predicate": "proves", "object": "saudi arabia's laws are an amalgam of rules from sharia (mainly the rules formulated by the hanbali "}
{"subject": "math:C4H5N3O", "predicate": "proves", "object": "{{displaytitle:c4h5n3o}}\nthe molecular formula c4h5n3o (molar mass: 111.10 g/mol, exact mass: 111.04"}
{"subject": "math:Chamazulene", "predicate": "proves", "object": "chamazulene is an aromatic chemical compound with the molecular formula c14h16 found in a variety of"}
{"subject": "math:Coherent_sheaf_cohomology", "predicate": "proves", "object": "in mathematics, especially in algebraic geometry and the theory of complex manifolds, coherent sheaf"}
{"subject": "math:Craig_Dolby", "predicate": "proves", "object": "craig dolby (born 31 march 1988 in melton mowbray, leicestershire, england) is a british racing driv"}
{"subject": "math:Mihalis_Dafermos", "predicate": "proves", "object": "mihalis dafermos (greek: \u03bc\u03b9\u03c7\u03ac\u03bb\u03b7\u03c2 \u03b4\u03b1\u03c6\u03ad\u03c1\u03bc\u03bf\u03c2; born october 1976) is a greek mathematician. he is profes"}
{"subject": "math:Stampacchia_Medal", "predicate": "proves", "object": "the stampacchia gold medal is an international prize awarded every three years by the italian mathem"}
{"subject": "math:C10H18", "predicate": "proves", "object": "the molecular formula c10h18 may refer to:\n\n bornane\n cyclodecene\n decalin\n decynes\n 1-decyne\n 2-dec"}
{"subject": "math:Max_Wissel", "predicate": "proves", "object": "maximilian \"max\" wissel (born 24 november 1989) is a german racing driver.\n\nsince 2008 he has raced "}
{"subject": "math:Pedro_Petiz", "predicate": "proves", "object": "pedro petiz (born 29 october 1986 in porto, portugal) is a portuguese racing driver.\n\nhe was the 200"}
{"subject": "math:Tetracarbon_dioxide", "predicate": "proves", "object": "tetracarbon dioxide is an oxide of carbon, a chemical compound of carbon and oxygen, with chemical f"}
{"subject": "math:1,3-Dioxetanedione", "predicate": "proves", "object": "the chemical compound 1,3-dioxetanedione, or 1,3-dioxacyclobutane-2,4-dione, also known as dicarboni"}
{"subject": "math:Indonesian_Grand_Prix", "predicate": "proves", "object": "the indonesian grand prix was an open-wheel racing car motor race, held intermittently as motorsport"}
{"subject": "math:1,3,5-Trioxanetrione", "predicate": "proves", "object": "the chemical compound 1,3,5-trioxanetrione, or 1,3,5-trioxacyclohexane-2,4,6-trione is an unstable o"}
{"subject": "math:Cyclobutanetetrone", "predicate": "proves", "object": "cyclobutanetetrone, also called tetraoxocyclobutane, is an organic compound with formula c4o4 or (co"}
{"subject": "math:Blaise_Pascal_College", "predicate": "proves", "object": "blaise pascal college is a high school in zaandam, netherlands. it offers vwo at atheneum and gymnas"}
{"subject": "math:Christophe_Tinseau", "predicate": "proves", "object": "christophe tinseau (born 18 december 1969) is a french racing driver from orl\u00e9ans.\n\ntinseau began ra"}
{"subject": "math:Copper(II)_phosphate", "predicate": "proves", "object": "copper(ii) phosphate are inorganic compounds with the formula cu3(po4)2.  they can be regarded as th"}
{"subject": "math:QMA", "predicate": "proves", "object": "in computational complexity theory, qma, which stands for quantum merlin arthur, is the set of langu"}
{"subject": "math:Jonathan_Kennard", "predicate": "proves", "object": "jonathan kennard (born 26 june 1985 in tunbridge wells, england) is a british professional racing dr"}
{"subject": "math:Structural_rigidity", "predicate": "proves", "object": "in discrete geometry and mechanics, structural rigidity is a combinatorial theory for predicting the"}
{"subject": "math:Schauder_estimates", "predicate": "proves", "object": "in mathematics, and more precisely, in functional analysis and pdes, the schauder estimates are a co"}
{"subject": "math:Dominick_Muermans", "predicate": "proves", "object": "dominick muermans (born 17 july 1984 in geleen, netherlands) is a dutch racing driver.\n\ndominick rac"}
{"subject": "math:Method_of_continuity", "predicate": "proves", "object": "in the mathematics of banach spaces, the method of continuity provides sufficient conditions for ded"}
{"subject": "math:Tetrahedral_hypothesis", "predicate": "proves", "object": "the tetrahedral hypothesis is an obsolete scientific theory attempting to explain the arrangement of"}
{"subject": "math:Danish_Grand_Prix", "predicate": "proves", "object": "the danish grand prix was an auto race for open-wheel cars. last held for formula one cars in 1962, "}
{"subject": "math:Veranus_of_Vence", "predicate": "proves", "object": "veranus was the fourth bishop of vence, gaul, after a period as a monk.\n\nveranus was the son of euch"}
{"subject": "math:Dominik_Jackson", "predicate": "proves", "object": "dominik jackson (born 21 april 1984 in scampton, lincolnshire) is a british racing driver. he starte"}
{"subject": "math:Daniel_la_Rosa", "predicate": "proves", "object": "daniel la rosa (born 10 october 1985 in hanau, west germany) is a german racing driver.\n\nhe has race"}
{"subject": "math:Nokia_3720_classic", "predicate": "proves", "object": "the nokia 3720 classic is a mobile phone by nokia announced in july 2009 and manufactured in hungary"}
{"subject": "math:Ammonium_dihydrogen_phosphate", "predicate": "proves", "object": "ammonium dihydrogen phosphate (adp), also known as monoammonium phosphate (map) is a chemical compou"}
{"subject": "math:Reider's_theorem", "predicate": "proves", "object": "in algebraic geometry, reider's theorem gives conditions for a line bundle on a projective surface t"}
{"subject": "math:Present_age", "predicate": "proves", "object": "the term \"present age\" is a concept in the philosophy of s\u00f8ren kierkegaard. a formulation of the mod"}
{"subject": "math:Duhem\u2013Margules_equation", "predicate": "proves", "object": "the duhem\u2013margules equation, named for pierre duhem and max margules, is a thermodynamic statement o"}
{"subject": "math:Stamatis_Katsimis", "predicate": "proves", "object": "stamatis katsimis (born may 30, 1982 in greece) is a greek racing driver. he has raced in junior mot"}
{"subject": "math:Bruce_Jouanny", "predicate": "proves", "object": "bruce jouanny (born 11 june 1978 in paris, france) is a french racing driver.\n\nhe started his career"}
{"subject": "math:Jemris", "predicate": "proves", "object": "jemris is an open source mri sequence design and simulation framework written in c++.\n\nit was design"}
{"subject": "math:Cubic_threefold", "predicate": "proves", "object": "in algebraic geometry, a cubic threefold is a hypersurface of degree 3 in 4-dimensional projective s"}
{"subject": "math:Klein_cubic_threefold", "predicate": "proves", "object": "in algebraic geometry, the klein cubic threefold is the non-singular cubic threefold in 4-dimensiona"}
{"subject": "math:Quintic_threefold", "predicate": "proves", "object": "in mathematics, a quintic threefold is a  3-dimensional hypersurface of degree 5 in 4-dimensional pr"}
{"subject": "math:Alperin", "predicate": "proves", "object": "alperin is a jewish surname. notable people with the surname include:\n\n j. l. alperin (born 1937), a"}
{"subject": "math:Quadratic_algebra", "predicate": "proves", "object": "in mathematics, a quadratic algebra is a filtered algebra generated by degree one elements, with def"}
{"subject": "math:3-Oxetanone", "predicate": "proves", "object": "3-oxetanone, also called oxetan-3-one or 1,3-epoxy-2-propanone, is a chemical compound with formula "}
{"subject": "math:C11H17N2O2S_Na", "predicate": "proves", "object": "c11h17n2o2s na may refer to:\n c11h17n2o2sna, the molecular formula of sodium thiopental\n \"c11h17n2o2"}
{"subject": "math:Fermat_quintic_threefold", "predicate": "proves", "object": "in mathematics, a fermat quintic threefold is a special quintic threefold, in other words a degree 5"}
{"subject": "math:Variational_bicomplex", "predicate": "proves", "object": "in mathematics, the lagrangian theory on fiber bundles is globally formulated in algebraic terms of "}
{"subject": "math:C24H34O5", "predicate": "proves", "object": "{{displaytitle:c24h34o5}}\nthe molecular formula c24h34o5 (molar mass: 402.52 g/mol) may refer to:\n\n "}
{"subject": "math:C22H29FO5", "predicate": "proves", "object": "{{displaytitle:c22h29fo5}}\nthe molecular formula c22h29fo5 (molar mass: 392.46 g/mol, exact mass: 39"}
{"subject": "math:C8H18O2", "predicate": "proves", "object": "{{displaytitle:c8h18o2}}\nthe molecular formula c8h18o2 (molar mass: 146.22 g/mol) may refer to:\n\n di"}
{"subject": "math:C2H4Br2", "predicate": "proves", "object": "{{displaytitle:c2h4br2}}\nthe molecular formula c2h4br2 (molar mass: 187.86 g/mol, exact mass: 185.86"}
{"subject": "math:C20H29N3O2", "predicate": "proves", "object": "{{displaytitle:c20h29n3o2}}\nthe molecular formula c20h29n3o2 (molar mass: 343.46 g/mol, exact mass: "}
{"subject": "math:C2H2Cl2O2", "predicate": "proves", "object": "{{displaytitle:c2h2cl2o2}}\nthe molecular formula c2h2cl2o2 (molar mass: 128.94 g/mol, exact mass: 12"}
{"subject": "math:C6H4Cl2", "predicate": "proves", "object": "{{displaytitle:c6h4cl2}}\nthe molecular formula c6h4cl2 (molar mass: 147.00 g/mol) may refer to:\n\n 1,"}
{"subject": "math:C8H6Cl2O3", "predicate": "proves", "object": "{{displaytitle:c8h6cl2o3}}\nthe molecular formula c8h6cl2o3 (molar mass: 221.03 g/mol) may refer to:\n"}
{"subject": "math:C2HCl2F3", "predicate": "proves", "object": "{{displaytitle:c2hcl2f3}}\nthe molecular formula c2hcl2f3 (molar mass: 152.93 g/mol, exact mass: 151."}
{"subject": "math:C14H11Cl2NO2", "predicate": "proves", "object": "{{displaytitle:c14h11cl2no2}}\nthe molecular formula c14h11cl2no2 (molar mass: 296.15 g/mol, exact ma"}
{"subject": "math:C10H12", "predicate": "proves", "object": "{{displaytitle:c10h12}}\nthe molecular formula c10h12 (molar mass: 132.20 g/mol, exact mass: 132.0939"}
{"subject": "math:C12H8Cl6O", "predicate": "proves", "object": "{{displaytitle:c12h8cl6o}}\nthe molecular formula c12h8cl6o (molar mass: 380.91 g/mol, exact mass: 37"}
{"subject": "math:C8H11N", "predicate": "proves", "object": "{{displaytitle:c8h11n}}\nthe molecular formula c8h11n (molar mass: 121.18 g/mol) may refer to:\n\n bicy"}
{"subject": "math:C8H10", "predicate": "proves", "object": "{{displaytitle:c8h10}}\nthe molecular formula c8h10 may refer to 6 structural isomers:\n\n cycloocta-1,"}
{"subject": "math:C4H8N2O2", "predicate": "proves", "object": "{{displaytitle:c4h8n2o2}}\nthe molecular formula c4h8n2o2 (molar mass: 116.12 g/mol) may refer to:\n\n "}
{"subject": "math:C10H12N2O5", "predicate": "proves", "object": "{{displaytitle:c10h12n2o5}}\nthe molecular formula c10h12n2o5 (molar mass: 240.21 g/mol, exact mass: "}
{"subject": "math:C24H38O4", "predicate": "proves", "object": "{{displaytitle:c24h38o4}}\nthe molecular formula c24h38o4 (molar mass: 390.55 g/mol) may refer to:\n\n "}
{"subject": "math:C14H10", "predicate": "proves", "object": "{{displaytitle:c14h10}}\nthe molecular formula c14h10 (molar mass: 178.23 g/mol) may refer to:\n\n anth"}
{"subject": "math:C14H10O3", "predicate": "proves", "object": "{{displaytitle:c14h10o3}} \nthe molecular formula c14h10o3 (molar mass: 226.23 g/mol, exact mass: 226"}
{"subject": "math:C10H10", "predicate": "proves", "object": "{{displaytitle:c10h10}}\nc10h10 may refer to:\n\ncompounds sharing the molecular formula:\n basketene\n b"}
{"subject": "math:C18H30", "predicate": "proves", "object": "{{displaytitle:c18h30}}\nthe molecular formula c18h30 (molar mass: 246.44 g/mol, exact mass: 246.2348"}
{"subject": "math:C8H11NO2", "predicate": "proves", "object": "{{displaytitle:c8h11no2}}\nthe molecular formula c8h11no2 may refer to:\n\n butyl cyanoacrylate\n 4-deox"}
{"subject": "math:C17H22N2O", "predicate": "proves", "object": "{{displaytitle:c17h22n2o}}\nthe molecular formula c17h22n2o may refer to:\n\n 4,4'-bis(dimethylamino)be"}
{"subject": "math:C10H16N2O8", "predicate": "proves", "object": "{{displaytitle:c10h16n2o8}}\nthe molecular formula c10h16n2o8 (molar mass: 292.24 g/mol, exact mass: "}
{"subject": "math:C10H15NO", "predicate": "proves", "object": "{{displaytitle:c10h15no}}\nthe molecular formula c10h15no (molar mass : 165.23 g/mol, exact mass : 16"}
{"subject": "math:C18H24O2", "predicate": "proves", "object": "{{displaytitle:c18h24o2}}\nthe molecular formula c18h24o2 may refer to:\n\n alfatradiol\n bolandione\n di"}
{"subject": "math:Index_of_combinatorics_articles", "predicate": "proves", "object": "\n\na\n abstract simplicial complex\n addition chain\n scholz conjecture\n algebraic combinatorics\n altern"}
{"subject": "math:National_Policy_on_Education", "predicate": "proves", "object": "the national policy on education (npe) is a policy formulated by the government of india to promote "}
{"subject": "math:Koras\u2013Russell_cubic_threefold", "predicate": "proves", "object": "in algebraic geometry, the koras\u2013russell cubic threefolds are smooth affine complex threefolds diffe"}
{"subject": "math:Quartic_threefold", "predicate": "proves", "object": "in algebraic geometry, a quartic threefold is a degree 4 hypersurface of dimension 3 in 4-dimensiona"}
{"subject": "math:C2H6S2", "predicate": "proves", "object": "{{displaytitle:c2h6s2}}\nthe molecular formula c2h6s2 (molar mass: 94.20 g/mol, exact mass: 93.99109 "}
{"subject": "math:C8H18O", "predicate": "proves", "object": "{{displaytitle:c8h18o}}\nthe molecular formula c8h18o may refer to:\n\n di-tert-butyl ether\n dibutyl et"}
{"subject": "math:C10H12O2", "predicate": "proves", "object": "{{displaytitle:c10h12o2}}\nthe molecular formula c10h12o2 (molar mass : 164.2 g/mol, exact mass: 164."}
{"subject": "math:C15H26O", "predicate": "proves", "object": "{{displaytitle:c15h26o}}\nthe molecular formula c15h26o may refer to:\n\n bisabolol (levomenol)\n \u03b1-cadi"}
{"subject": "math:C16H10", "predicate": "proves", "object": "{{displaytitle:c16h10}}\nthe molecular formula c16h10 (molar mass: 202.25 g/mol, exact mass: 202.0783"}
{"subject": "math:C13H10", "predicate": "proves", "object": "{{displaytitle:c13h10}}\nthe molecular formula c13h10 (molar mass: 166.22 g/mol, exact mass: 166.0783"}
{"subject": "math:C19H24N2O4", "predicate": "proves", "object": "{{displaytitle:c19h24n2o4}}\nthe molecular formula c19h24n2o4 (molar mass: 344.40 g/mol, exact mass: "}
{"subject": "math:Inger-Mari_Aikio", "predicate": "proves", "object": "inger-mari aikio (prev. inger-mari aikio-arianaick; born 1961 in utsjoki, finland) is a s\u00e1mi poet wh"}
{"subject": "math:Deltic_acid", "predicate": "proves", "object": "deltic acid (also known as dihydroxycyclopropenone or trianglic acid) is a chemical substance with t"}
{"subject": "math:C17H21NO3", "predicate": "proves", "object": "{{displaytitle:c17h21no3}}\nthe molecular formula c17h21no3 (molar mass: 287.35 g/mol) may refer to:\n"}
{"subject": "math:C4H9NO2", "predicate": "proves", "object": "{{displaytitle:c4h9no2}}\nthe molecular formula c4h9no2 (molar mass: 103.12 g/mol) may refer to:\n\n \u03b1-"}
{"subject": "math:C19H22O6", "predicate": "proves", "object": "{{displaytitle:c19h22o6}}\nthe molecular formula c19h22o6 (molar mass: 346.37 g/mol, exact mass: 346."}
{"subject": "math:C5H9NO4", "predicate": "proves", "object": "{{displaytitle:c5h9no4}}\nthe molecular formula c5h9no4 (molar mass 147.13 g/mol, exact mass: 147.053"}
{"subject": "math:C5H10N2O3", "predicate": "proves", "object": "{{displaytitle:c5h10n2o3}}\nthe molecular formula c5h10n2o3 (molar mass: 146.14 g/mol) may refer to:\n"}
{"subject": "math:C7H8O2", "predicate": "proves", "object": "{{displaytitle:c7h8o2}}\nthe molecular formula c7h8o2 (molar mass: 124.14 g/mol, exact mass: 124.0524"}
{"subject": "math:C10H13N5O5", "predicate": "proves", "object": "{{displaytitle:c10h13n5o5}}\nthe molecular formula c10h13n5o5 (molar mass: 283.24 g/mol, exact mass: "}
{"subject": "math:List_of_races_at_the_N\u00fcrburgring", "predicate": "proves", "object": "races at the n\u00fcrburgring were held with grand prix cars, grand prix motorcycles, various formula car"}
{"subject": "math:C16H14O6", "predicate": "proves", "object": "{{displaytitle:c16h14o6}}\nthe molecular formula c16h14o6 may refer to:\n\n blumeatin, a flavanone\n dih"}
{"subject": "math:C8H18N2O4S", "predicate": "proves", "object": "{{displaytitle:c8h18n2o4s}}\nthe molecular formula c8h18n2o4s (molar mass: 238.30 g/mol, exact mass: "}
{"subject": "math:C16H34", "predicate": "proves", "object": "the molecular formula c16h34 (molar mass: 226.44 g/mol, exact mass: 226.2661 u) may refer to:\n\n hexa"}
{"subject": "math:C3H2F6O", "predicate": "proves", "object": "{{displaytitle:c3h2f6o}}\nthe molecular formula c3h2f6o (molar mass: 168.038 g/mol, exact mass: 168.0"}
{"subject": "math:C4H9NO2S", "predicate": "proves", "object": "{{displaytitle:c4h9no2s}}\nthe molecular formula c4h9no2s may refer to:\n\n homocysteine, a non-protein"}
{"subject": "math:C3H9NO3S", "predicate": "proves", "object": "{{displaytitle:c3h9no3s}}\nthe molecular formula c3h9no3s (molar mass: 139.173 g/mol, exact mass: 139"}
{"subject": "math:C10H12N2O", "predicate": "proves", "object": "{{displaytitle:c10h12n2o}}\nthe molecular formula c10h12n2o (molar mass 176.22 g/mol, exact mass : 17"}
{"subject": "math:C8H15NO", "predicate": "proves", "object": "{{displaytitle:c8h15no}}\nthe molecular formula c8h15no (molar mass: 141.21 g/mol, exact mass: 141.11"}
{"subject": "math:C13H18O2", "predicate": "proves", "object": "{{displaytitle:c13h18o2}}\nthe molecular formula c13h18o2 (molar mass: 206.28 g/mol, exact mass: 206."}
{"subject": "math:C3H4N2", "predicate": "proves", "object": "{{displaytitle:c3h4n2}}\nthe molecular formula c3h4n2 may refer to:\n\n diazoles, a heterocycle with tw"}
{"subject": "math:C14H16N4", "predicate": "proves", "object": "the molecular formula c14h16n4 (molar mass: 240.30 g/mol, exact mass: 240.1375 u) may refer to:\n\n im"}
{"subject": "math:C16H10N2O2", "predicate": "proves", "object": "{{displaytitle:c16h10n2o2}}\nthe molecular formula c16h10n2o2 (molar mass: 262.27 g/mol, exact mass: "}
{"subject": "math:C8H7N", "predicate": "proves", "object": "{{displaytitle:c8h7n}}\nthe molecular formula c8h7n (molar mass: 117.15 g/mol, exact mass: 117.0578 u"}
{"subject": "math:C8H9N", "predicate": "proves", "object": "{{displaytitle:c8h9n}}\nthe molecular formula c8h9n (molar mass: 119.167 g/mol) may refer to:\n\n 4,7-d"}
{"subject": "math:C10H9NO2", "predicate": "proves", "object": "the molecular formula  (molar mass: 175.18 g/mol, exact mass: 175.0633 u) may refer to:\n\n gentianine"}
{"subject": "math:C13H20O", "predicate": "proves", "object": "{{displaytitle:c13h20o}}\nthe molecular formula c13h20o (molar mass: 192.30 g/mol, exact mass: 192.15"}
{"subject": "math:C8H5NO2", "predicate": "proves", "object": "{{displaytitle:c8h5no2}}\nthe molecular formula c8h5no2 (molar mass: 147.13 g/mol, exact mass: 147.03"}
{"subject": "math:C9H7N", "predicate": "proves", "object": "{{displaytitle:c9h7n}}\nthe molecular formula c9h7n (molar mass: 129.16 g/mol, exact mass: 129.0578 u"}
{"subject": "math:C11H16O", "predicate": "proves", "object": "{{displaytitle:c11h16o}}\nthe molecular formula c11h16o may refer to:\n\n jasmone\n various aromatic alc"}
{"subject": "math:C12H24O2", "predicate": "proves", "object": "{{displaytitle:c12h24o2}}\nthe molecular formula c12h24o2 (molar mass: 200.31 g/mol, exact mass: 200."}
{"subject": "math:Acetylenediol", "predicate": "proves", "object": "acetylenediol, or ethynediol, is a chemical substance with formula ho\u2212c\u2261c\u2212oh (an ynol).  it is the d"}
{"subject": "math:Netuar", "predicate": "proves", "object": "netuar was a south african racing car constructor, which competed in 22 non-world championship formu"}
{"subject": "math:1949\u201350_Serie_C", "predicate": "proves", "object": "the 1949\u201350 serie c was the twelfth edition of serie c, the third highest league in the italian foot"}
{"subject": "math:C18H32O2", "predicate": "proves", "object": "{{displaytitle:c18h32o2}}\nthe molecular formula c18h32o2 (molar mass: 280.44 g/mol) may refer to:\n\n "}
{"subject": "math:C18H30O2", "predicate": "proves", "object": "{{displaytitle:c18h30o2}}\nthe molecular formula c18h30o2 may refer to:\n\n octadecatrienoic acid\n cale"}
{"subject": "math:C8H15NOS2", "predicate": "proves", "object": "{{displaytitle:c8h15nos2}}\nthe molecular formula c8h15nos2 (molar mass: 205.341 g/mol, exact mass: 2"}
{"subject": "math:C10H19O6PS2", "predicate": "proves", "object": "{{displaytitle:c10h19o6ps2}}\nthe molecular formula c10h19o6ps2 (molar mass: 330.36 g/mol, exact mass"}
{"subject": "math:Identity_card_of_Kosovo", "predicate": "proves", "object": "the identity card of kosovo is an id card issued to the citizens of kosovo for the purpose of establ"}
{"subject": "math:BMW_N57", "predicate": "proves", "object": "the bmw n57 is a family of aluminium, turbocharged straight-6 common rail diesel engines. the engine"}
{"subject": "math:Group_A_Sports_Cars", "predicate": "proves", "object": "group a sports cars is an australian motor racing category that cams formulated for sports car racin"}
{"subject": "math:Extra-Long_Staple_Cotton_Act_of_1983", "predicate": "proves", "object": "the extra-long staple cotton act of 1983 (p.l. 98\u201388) eliminated marketing quotas and allotments for"}
{"subject": "math:Lawson_topology", "predicate": "proves", "object": "in mathematics and theoretical computer science the lawson topology, named after jimmie d. lawson, i"}
{"subject": "math:Official_Roll_of_the_Baronetage", "predicate": "proves", "object": "the official roll of the baronetage is an official list of baronets kept by the lord chancellor; an "}
{"subject": "math:1,1-Dichloro-1-fluoroethane", "predicate": "proves", "object": "1,1-dichloro-1-fluoroethane is a haloalkane with the formula . it is one of the three  isomers of di"}
{"subject": "math:Chloranil", "predicate": "proves", "object": "chloranil is a quinone with the molecular formula c6cl4o2. also known as tetrachloro-1,4-benzoquinon"}
{"subject": "math:Wind_erosion_equation", "predicate": "proves", "object": "a wind erosion equation is an equation used to design wind erosion control systems, which considers "}
{"subject": "math:Western_Grain_Transportation_Act", "predicate": "proves", "object": "the western grain transportation act was a 1983 canadian federal statute under which the formula for"}
{"subject": "math:2,3,3-Trimethylpentane", "predicate": "proves", "object": "2,3,3-trimethylpentane is a chemical compound in the family of hydrocarbons which has a formula of c"}
{"subject": "math:Spirangle", "predicate": "proves", "object": "in geometry, a spirangle is a spiral polygonal chain.  spirangles are similar to spirals in that the"}
{"subject": "math:1959_Australian_Drivers'_Championship", "predicate": "proves", "object": "the 1959 australian drivers championship was a cams sanctioned motor racing title for drivers of for"}
{"subject": "math:Smooth_functor", "predicate": "proves", "object": "in differential topology, a branch of mathematics, a smooth functor is a type of functor defined on "}
{"subject": "math:Unregistered_land_in_English_law", "predicate": "proves", "object": "unregistered land in english law is land that has not been registered with hm land registry. under t"}
{"subject": "math:Simson", "predicate": "proves", "object": "simson may refer to:\n\n simson (name) \n simson (artist) music producer based out of milwaukee, wiscon"}
{"subject": "math:Public_Rangelands_Improvement_Act_of_1978", "predicate": "proves", "object": "the public rangelands improvement act of 1978 (pria) () defines the current grazing fee formula and "}
{"subject": "math:C8H16", "predicate": "proves", "object": "{{displaytitle:c8h16}}\nthe molecular formula c8h16 (molar mass: 112.21 g/mol, exact mass: 112.1252 u"}
{"subject": "math:C8H18", "predicate": "proves", "object": "{{displaytitle:c8h18}}\nthe molecular formula c8h18 (molar mass: 114.23 g/mol) may refer to:\n\n octane"}
{"subject": "math:Northern_Europe_cotton_price", "predicate": "proves", "object": "the northern europe cotton price is an average of the five lowest prices of several internationally "}
{"subject": "math:Ham_sandwich_(disambiguation)", "predicate": "proves", "object": "a ham sandwich is a common type of sandwich.\n\nham sandwich may also refer to:\n\n ham sandwich (band),"}
{"subject": "math:Mark_Noske", "predicate": "proves", "object": "mark noske (born 25 july 1975) is a former australian racing car driver. he has scored round wins in"}
{"subject": "math:Zendium", "predicate": "proves", "object": "zendium is a brand of toothpaste marketed by unilever in austria, belgium, croatia, czech republic, "}
{"subject": "math:Scott_Maxwell", "predicate": "proves", "object": "\n\nscott maxwell (born january 20, 1964), is a canadian auto racing driver.\n\nscott has competed and w"}
{"subject": "math:Normal_crossing_singularity", "predicate": "proves", "object": "in algebraic geometry a normal crossing singularity is a singularity similar to a union of coordinat"}
{"subject": "math:FIA\u2013FOTA_dispute", "predicate": "proves", "object": "the fia\u2013fota dispute was a series of political clashes between the f\u00e9d\u00e9ration internationale de l'au"}
{"subject": "math:Cheng's_eigenvalue_comparison_theorem", "predicate": "proves", "object": "in riemannian geometry, cheng's eigenvalue comparison theorem states in general terms that when a do"}
{"subject": "math:Critique_of_political_economy", "predicate": "proves", "object": "critique of political economy or simply the first critique of economy is a form of social critique t"}
{"subject": "math:Charles_B._Morrey_Jr.", "predicate": "proves", "object": "charles bradfield morrey jr. (july 23, 1907 \u2013 april 29, 1984) was an american mathematician who made"}
{"subject": "math:David_B._A._Epstein", "predicate": "proves", "object": "david bernard alper epstein frs (born 1937) is a mathematician known for his work in hyperbolic geom"}
{"subject": "math:Modalities_(trade_negotiations)", "predicate": "proves", "object": "modalities are the formulas, targets, or specific measures used to accomplish objectives in trade ne"}
{"subject": "math:Minnesota-Wisconsin_price", "predicate": "proves", "object": "the minnesota-wisconsin price (m-w price), prior to may 1995, was a component of the basic formula p"}
{"subject": "math:Larkham_Motorsport", "predicate": "proves", "object": "larkham motor sport was a motorsport team contesting the v8 supercar championship between 1995 and 2"}
{"subject": "math:2009_Zolder_Superleague_Formula_round", "predicate": "proves", "object": "the 2009 zolder superleague formula round was the second round of the 2009 superleague formula seaso"}
{"subject": "math:C8H7NO", "predicate": "proves", "object": "{{displaytitle:c8h7no}}\nthe molecular formula c8h7no (molar mass: 133.14728 g/mol, exact mass: 133.0"}
{"subject": "math:C11H15NO2", "predicate": "proves", "object": "{{displaytitle:c11h15no2}}\nthe molecular formula c11h15no2 (molar mass :  193.24 g/mol, exact mass :"}
{"subject": "math:C10H11ClO3", "predicate": "proves", "object": "{{displaytitle:c10h11clo3}}\nthe molecular formula c10h11clo3 (molar mass: 214.64 g/mol, exact mass: "}
{"subject": "math:C8H16O4", "predicate": "proves", "object": "{{displaytitle:c8h16o4}}\nthe molecular formula c8h16o4 (molar mass: 176.21 g/mol, exact mass: 176.10"}
{"subject": "math:C8H8O2", "predicate": "proves", "object": "{{displaytitle:c8h8o2}}\nthe molecular formula c8h8o2 may refer to:\n\n anisaldehyde (p-anisaldehyde)\n "}
{"subject": "math:Hitchin_system", "predicate": "proves", "object": "in mathematics, the hitchin integrable system is an integrable system depending on the choice of a c"}
{"subject": "math:C5H5NO2", "predicate": "proves", "object": "{{displaytitle:c5h5no2}}\nthe molecular formula c5h5no2 (molar mass: 111.10 g/mol) may refer to:\n\n 2,"}
{"subject": "math:C15H25NO3", "predicate": "proves", "object": "{{displaytitle:c15h25no3}}\nthe molecular formula c15h25no3 (molar mass: 267.36 g/mol, exact mass: 26"}
{"subject": "math:C17H20N2O", "predicate": "proves", "object": "{{displaytitle:c17h20n2o}}\nthe molecular formula c17h20n2o (molar mass: 268.35 g/mol, exact mass: 26"}
{"subject": "math:Maintenance_fee_(EPA)", "predicate": "proves", "object": "in united states environmental policy, maintenance fees are the annual fees paid by pesticide manufa"}
{"subject": "math:C7H14NO5P", "predicate": "proves", "object": "{{displaytitle:c7h14no5p}}\nthe molecular formula c7h14no5p (molar mass: 223.16 g/mol) may refer to:\n"}
{"subject": "math:Superintegrable_Hamiltonian_system", "predicate": "proves", "object": "in mathematics, a superintegrable hamiltonian system is a hamiltonian system on a -dimensional  symp"}
{"subject": "math:Rolando_Quintanilla", "predicate": "proves", "object": "rolando quintanilla (born september 17, 1977) is a mexican former racing driver from nuevo laredo.\n\n"}
{"subject": "math:CIA_Kennedy_assassination_conspiracy_theory", "predicate": "proves", "object": "the cia kennedy assassination is a prominent john f. kennedy assassination conspiracy theory. accord"}
{"subject": "math:Fr\u00e9d\u00e9ric_Vervisch", "predicate": "proves", "object": "fr\u00e9d\u00e9ric vervisch ( ; born 10 august 1986 in kortrijk) is a belgian racing driver who currently race"}
{"subject": "math:Indole", "predicate": "proves", "object": "indole is an aromatic, heterocyclic, organic compound with the formula . it has a bicyclic structure"}
{"subject": "math:Computer_algebra", "predicate": "proves", "object": "in mathematics and computer science, computer algebra, also called symbolic computation or algebraic"}
{"subject": "math:Clemmatista", "predicate": "proves", "object": "clemmatista is a monotypic moth genus in the family cosmopterigidae. its single species, clemmatista"}
{"subject": "math:C10H6O2", "predicate": "proves", "object": "{{displaytitle:c10h6o2}}\nthe molecular formula c10h6o2 (molar mass: 158.15 g/mol, exact mass: 158.03"}
{"subject": "math:C10H9N", "predicate": "proves", "object": "{{displaytitle:c10h9n}}\nthe molecular formula c10h9n (molar mass: 143.19 g/mol, exact mass: 143.0735"}
{"subject": "math:C23H46N6O13", "predicate": "proves", "object": "{{displaytitle:c23h46n6o13}}\nthe molecular formula c23h46n6o13 (molar mass: 614.64 g/mol, exact mass"}
{"subject": "math:C10H14N2", "predicate": "proves", "object": "the molecular formula  (molar mass: 162.23 g/mol, exact mass: 162.1157 u) may refer to:\n\n anabasine\n"}
{"subject": "math:C8H11NO3", "predicate": "proves", "object": "{{displaytitle:c8h11no3}}\nthe molecular formula c8h11no3 (molar mass:  169.17 g/mol, exact mass: 169"}
{"subject": "math:C7H12", "predicate": "proves", "object": "{{displaytitle:c7h12}}\nthe molecular formula c7h12 (molar mass: 96.17 g/mol, exact mass: 96.0939 u) "}
{"subject": "math:C8H16O2", "predicate": "proves", "object": "{{displaytitle:c8h16o2}}\nthe molecular formula c8h16o2 may refer to:\n\n butyl butyrate\n caprylic acid"}
{"subject": "math:C18H34O2", "predicate": "proves", "object": "{{displaytitle:c18h34o2}}\nthe molecular formula c18h34o2 (molar mass: 282.46 g/mol, exact mass: 282."}
{"subject": "math:C21H32O3", "predicate": "proves", "object": "{{displaytitle:c21h32o3}}\nthe molecular formula c21h32o3 (molar mass: 332.48 g/mol) may refer to:\n\n "}
{"subject": "math:Potassium_hydrosulfide", "predicate": "proves", "object": "potassium hydrosulfide is the inorganic compound with the formula ksh. this colourless salt consists"}
{"subject": "math:Maurer_rose", "predicate": "proves", "object": "in geometry, the concept of a maurer rose was introduced by peter m. maurer in his article titled a "}
{"subject": "math:Ferrocenium_tetrafluoroborate", "predicate": "proves", "object": "ferrocenium tetrafluoroborate is an organometallic compound with the formula [fe(c5h5)2]bf4.  this s"}
{"subject": "math:Max_Lef\u00e8vre", "predicate": "proves", "object": "max lef\u00e8vre (born 9 december 1985), is a french racing driver from paris.\n\nafter karting, he moved u"}
{"subject": "math:Mercury(I)_nitrate", "predicate": "proves", "object": "mercury(i) nitrate is an inorganic compound, a salt of mercury and nitric acid with the formula hg2("}
{"subject": "math:Father's_Dilemma", "predicate": "proves", "object": "father's dilemma () is a 1950 italian comedy film directed by alessandro blasetti. it won an award a"}
{"subject": "math:Visa_policy_of_Canada", "predicate": "proves", "object": "the visa policy of canada requires that any foreign national wishing to enter canada must obtain a t"}
{"subject": "math:Aurifeuillean_factorization", "predicate": "proves", "object": "in number theory, an aurifeuillean factorization, named after l\u00e9on-fran\u00e7ois-antoine aurifeuille, is "}
{"subject": "math:John_Corcoran_(logician)", "predicate": "proves", "object": "john corcoran ( ; 20 march 1937 \u2013 8 january 2021) was an american logician, philosopher, mathematici"}
{"subject": "math:C20H24N2O2", "predicate": "proves", "object": "{{displaytitle:c20h24n2o2}}\nthe molecular formula c20h24n2o2 (molar mass: 324.42 g/mol, exact mass: "}
{"subject": "math:C18H32O16", "predicate": "proves", "object": "{{displaytitle:c18h32o16}}\nthe molecular formula c18h32o16 (molar mass: 504.42 g/mol, exact mass: 50"}
{"subject": "math:C20H30O", "predicate": "proves", "object": "{{displaytitle:c20h30o}}\nthe molecular formula c20h30o (molar mass: 286.45 g/mol, exact mass: 286.22"}
{"subject": "math:C23H22O6", "predicate": "proves", "object": "{{displaytitle:c23h22o6}}\nthe molecular formula c23h22o6 (molar mass: 394.42 g/mol, exact mass: 394."}
{"subject": "math:C10H14NO5PS", "predicate": "proves", "object": "{{displaytitle:c10h14no5ps}}\nthe molecular formula c10h14no5ps may refer to:\n\n parathion, an organop"}
{"subject": "math:Cost_of_raising_a_child", "predicate": "proves", "object": "the cost of raising a child varies from country to country.\n\nthe cost of raising a child is usually "}
{"subject": "math:C10H13NO2", "predicate": "proves", "object": "{{displaytitle:c10h13no2}}\nthe molecular formula c10h13no2 (molar mass : 179.21 g/mol, exact mass : "}
{"subject": "math:The_Equation", "predicate": "proves", "object": "\"the equation\" is the eighth episode of the first season of the american science fiction drama telev"}
{"subject": "math:Pino_Romualdi", "predicate": "proves", "object": "giuseppe \"pino\" romualdi' (24 july 1913 \u2013 21 may 1988) was an italian right-wing politician who serv"}
{"subject": "math:C17H25N", "predicate": "proves", "object": "{{displaytitle:c17h25n}}\nthe molecular formula c17h25n (molar mass: 243.39 g/mol, exact mass: 243.19"}
{"subject": "math:C12H12N2O3", "predicate": "proves", "object": "{{displaytitle:c12h12n2o3}}\nthe molecular formula c12h12n2o3 (molar mass: 232.23 g/mol, exact mass: "}
{"subject": "math:C17H25NO", "predicate": "proves", "object": "the molecular formula c17h25no may refer to:\n\n eperisone\n etazocine\n 3-ho-pcp\n 4'-methyl-\u03b1-pyrrolidi"}
{"subject": "math:C8H6O2", "predicate": "proves", "object": "{{displaytitle:c8h6o2}}\nthe molecular formula c8h6o2 (molar mass: 134.13 g/mol, exact mass: 134.0368"}
{"subject": "math:C7H12O4", "predicate": "proves", "object": "{{displaytitle:c7h12o4}}\nthe molecular formula c7h12o4 (molar mass: 160.17 g/mol, exact mass: 160.07"}
{"subject": "math:C8H6O3", "predicate": "proves", "object": "{{displaytitle:c8h6o3}}\nthe molecular formula c8h6o3 (molar mass: 150.13 g/mol) may refer to:\n\n 2-ca"}
{"subject": "math:C12H24", "predicate": "proves", "object": "{{displaytitle:c12h24}}\nthe molecular formula c12h24 (molar mass: 168.32 g/mol, exact mass: 168.1878"}
{"subject": "math:C12H18", "predicate": "proves", "object": "the molecular formula c12h18 (molar mass: 162.27 g/mol) may refer to:\n\n cyclododecatriene\n diisoprop"}
{"subject": "math:C21H36", "predicate": "proves", "object": "{{displaytitle:c21h36}}\nthe molecular formula c21h36 (molar mass: 288.52 g/mol, exact mass: 288.2817"}
{"subject": "math:C27H48", "predicate": "proves", "object": "{{displaytitle:c27h48}}\nthe molecular formula c27h48 (molar mass: 372.67 g/mol, exact mass: 372.3756"}
{"subject": "math:C30H54", "predicate": "proves", "object": "{{displaytitle:c30h54}}\nthe molecular formula c30h54 may refer to:\n\n baccharane\n cucurbitane\n dammar"}
{"subject": "math:C8H12O4", "predicate": "proves", "object": "{{displaytitle:c8h12o4}}\nthe molecular formula c8h12o4 (molar mass: 172.178 g/mol) may refer to:\n\n d"}
{"subject": "math:Barazi-Epsilon", "predicate": "proves", "object": "barazi-epsilon is a racing team owned by engineer michel lecomte and entrepreneur turned amateur rac"}
{"subject": "math:Caffi", "predicate": "proves", "object": "caffi is an italian surname. notable people with the surname include:\n\nalex caffi, italian former fo"}
{"subject": "math:Calculus_of_functors", "predicate": "proves", "object": "in algebraic topology, a branch of mathematics, the calculus of functors or goodwillie calculus is a"}
{"subject": "math:Paneitz_operator", "predicate": "proves", "object": "in the mathematical field of differential geometry, the paneitz operator is a fourth-order different"}
{"subject": "math:GU-Racing", "predicate": "proves", "object": "gu-racing is a german racing team owned by g\u00fcnther unterreitmeier. the team was founded in 2003.\n\nhi"}
{"subject": "math:GTA_Motor_Competici\u00f3n", "predicate": "proves", "object": "gta motor competici\u00f3n is a spanish racing team based in torrent, valencia, spain.\n\nhistory\nthey have"}
{"subject": "math:Decisional_composite_residuosity_assumption", "predicate": "proves", "object": "the decisional composite residuosity assumption (dcra) is a mathematical assumption used in cryptogr"}
{"subject": "math:1998_Euro_Open_by_Nissan", "predicate": "proves", "object": "the 1998 euro open by nissan was contested over 7 rounds/14 races. this was the first open fortuna b"}
{"subject": "math:2009_Donington_Park_Superleague_Formula_round", "predicate": "proves", "object": "the 2009 donington park superleague formula round was the third round of the 2009 superleague formul"}
{"subject": "math:2009_Estoril_Superleague_Formula_round", "predicate": "proves", "object": "the 2009 estoril superleague formula round was the fourth round of the 2009 superleague formula seas"}
{"subject": "math:Invariant_set_postulate", "predicate": "proves", "object": "the invariant set postulate concerns the possible relationship between fractal geometry and quantum "}
{"subject": "math:Finite_ring", "predicate": "proves", "object": "in mathematics, more specifically abstract algebra, a finite ring is a ring that has a finite number"}
{"subject": "math:Formal_manifold", "predicate": "proves", "object": "in geometry and topology, a formal manifold can mean one of a number of related concepts:\n in the se"}
{"subject": "math:Special_functions", "predicate": "proves", "object": "special functions are particular mathematical functions that have more or less established names and"}
{"subject": "math:Balaban_10-cage", "predicate": "proves", "object": "in the mathematical field of graph theory, the balaban 10-cage or balaban -cage is a 3-regular graph"}
{"subject": "math:C6H9NO", "predicate": "proves", "object": "{{displaytitle:c6h9no}}\nthe molecular formula c6h9no may refer to:\n\n 2-acetyl-1-pyrroline\n carbapena"}
{"subject": "math:C12H18N2O2", "predicate": "proves", "object": "{{displaytitle:c12h18n2o2}}\nthe molecular formula c12h18n2o2 may refer to:\n\n doxpicomine\n isophorone"}
{"subject": "math:C15H21N3O", "predicate": "proves", "object": "{{displaytitle:c15h21n3o}}\nthe molecular formula c15h21n3o (molar mass: 259.35 g/mol, exact mass: 25"}
{"subject": "math:C13H20N2O2", "predicate": "proves", "object": "{{displaytitle:c13h20n2o2}}\nthe molecular formula c13h20n2o2 (molar mass: 236.31 g/mol, exact mass: "}
{"subject": "math:Mark_McNally_(racing_driver)", "predicate": "proves", "object": "mark mcnally (born 23 november 1981) is an australian racing driver.  he made his v8 supercar debut "}
{"subject": "math:Danish_Grand_Prix_(disambiguation)", "predicate": "proves", "object": "danish grand prix is a formula one motor race.\n\ndanish grand prix may also refer to:\n\nspeedway grand"}
{"subject": "math:Hudde's_rules", "predicate": "proves", "object": "in mathematics, hudde's rules are two properties of polynomial roots described by johann hudde.\n\n1. "}
{"subject": "math:Franklin_graph", "predicate": "proves", "object": "in the mathematical field of graph theory, the franklin graph is a 3-regular graph with 12 vertices "}
{"subject": "math:C5H4N4", "predicate": "proves", "object": "{{displaytitle:c5h4n4}}\nthe molecular formula c5h4n4 may refer to:\n\n purine\n purine analogues\n 5-aza"}
{"subject": "math:C4H12N2", "predicate": "proves", "object": "{{displaytitle:c4h12n2}}\nthe molecular formula c4h12n2 (molar mass: 88.15 g/mol) may refer to:\n\n dim"}
{"subject": "math:C5H5NO", "predicate": "proves", "object": "{{displaytitle:c5h5no}}\nthe molecular formula c5h5no (molar mass: 95.10 g/mol, exact mass: 95.03711 "}
{"subject": "math:C8H9NO3", "predicate": "proves", "object": "{{displaytitle:c8h9no3}}\nthe molecular formula c8h9no3 (molar mass: 167.16 g/mol) may refer to:\n\n gl"}
{"subject": "math:C17H23N3O", "predicate": "proves", "object": "{{displaytitle:c17h23n3o}}\nthe molecular formula c17h23n3o may refer to:\n\n mepyramine, a first gener"}
{"subject": "math:C10H10O2", "predicate": "proves", "object": "{{displaytitle:c10h10o2}}\nthe molecular formula c10h10o2 (molar mass : 162.18 g/mol) may refer to:\n\n"}
{"subject": "math:C13H18O7", "predicate": "proves", "object": "{{displaytitle:c13h18o7}}\nthe molecular formula c13h18o7 (molar mass : 286.28 g/mol, react mass : 28"}
{"subject": "math:C7H6O3", "predicate": "proves", "object": "{{displaytitle:c7h6o3}}\nthe molecular formula c7h6o3 may refer to:\n\n dihydroxybenzaldehydes\n 2,4-dih"}
{"subject": "math:Czech_Republic_Grand_Prix", "predicate": "proves", "object": "czech republic grand prix can refer to:\n\nczechoslovakian grand prix, a formula one motor race\nczech "}
{"subject": "math:C7H10O5", "predicate": "proves", "object": "{{displaytitle:c7h10o5}}\nthe molecular formula c7h10o5 may refer to:\n\n diethyl oxomalonate, the diet"}
{"subject": "math:C6H8O3", "predicate": "proves", "object": "{{displaytitle:c6h8o3}}\nthe molecular formula c6h8o3 (molar mass: 128.13 g/mol, exact mass: 128.0473"}
{"subject": "math:C7H19N3", "predicate": "proves", "object": "{{displaytitle:c7h19n3}}\nthe molecular formula c7h19n3 may refer to:\n\n spermidine, a polyamine compo"}
{"subject": "math:C30H50", "predicate": "proves", "object": "{{displaytitle:c30h50}}\nthe molecular formula c30h50 (molar mass: 410.72 g/mol, exact mass: 410.3913"}
{"subject": "math:C21H22N2O2", "predicate": "proves", "object": "{{displaytitle:c21h22n2o2}}\nthe molecular formula c21h22n2o2 may refer to:\n\n strychnine, a toxic, co"}
{"subject": "math:C6H7NO3S", "predicate": "proves", "object": "{{displaytitle:c6h7no3s}}\nthe molecular formula c6h7no3s (molar mass: 173.190 g/mol, exact mass: 173"}
{"subject": "math:Scott_Mansell", "predicate": "proves", "object": "scott kevin mansell (born 1 october 1985) is a british former racing driver and youtube personality."}
{"subject": "math:Diphenylmercury", "predicate": "proves", "object": "diphenylmercury is the organomercury compound with the formula hg(c6h5)2. it is a white solid. the c"}
{"subject": "math:2009_Formula_BMW_Pacific_season", "predicate": "proves", "object": "the 2009 formula bmw pacific season was the eighth formula bmw pacific season. it began on may 2 in "}
{"subject": "math:Norwegian_Grand_Prix_(disambiguation)", "predicate": "proves", "object": "norwegian grand prix can refer to:\n\nnorwegian grand prix, a formula one motor race\nspeedway grand pr"}
{"subject": "math:C8H6O4", "predicate": "proves", "object": "the molecular formula c8h6o4 (molar mass: 166.14 g/mol, exact mass: 166.0266 u) may refer to:\n\n isop"}
{"subject": "math:C19H25NO4", "predicate": "proves", "object": "{{displaytitle:c19h25no4}}\nthe molecular formula c19h25no4 (molar mass: 331.41 g/mol, exact mass: 33"}
{"subject": "math:C10H14N2O5", "predicate": "proves", "object": "{{displaytitle:c10h14n2o5}}\nthe molecular formula c10h14n2o5 (molar mass: 242.23 g/mol, exact mass: "}
{"subject": "math:C29H50O2", "predicate": "proves", "object": "the molecular formula c29h50o2 (molar mass: 430.70 g/mol, exact mass: 430.3811 u) may refer to:\n\n to"}
{"subject": "math:C6H13NO5", "predicate": "proves", "object": "{{displaytitle:c6h13no5}}\nthe molecular formula c6h13no5 (molar mass: 179.17 g/mol, exact mass: 179."}
{"subject": "math:C12H19NO3", "predicate": "proves", "object": "{{displaytitle:c12h19no3}}\nthe molecular formula c12h19no3 (molar mass : 225.28 g/mol, exact mass : "}
{"subject": "math:C3H9O3P", "predicate": "proves", "object": "{{displaytitle:c3h9o3p}}\nthe molecular formula c3h9o3p (molar mass: 124.076 g/mol, exact mass: 124.0"}
{"subject": "math:C18H15N", "predicate": "proves", "object": "{{displaytitle:c18h15n}}\nthe molecular formula c18h15 (molar mass: 245.32 g/mol, exact mass: 245.120"}
{"subject": "math:C18H12", "predicate": "proves", "object": "{{displaytitle:c18h12}}\nthe molecular formula c18h12 may refer to:\n\n benz[a]anthracene, or benzo[a]a"}
{"subject": "math:C8H15N", "predicate": "proves", "object": "{{displaytitle:c8h15n}}\nthe molecular formula c8h15n (molar mass: 125.21 g/mol, exact mass: 125.1204"}
{"subject": "math:C11H12N2O2", "predicate": "proves", "object": "{{displaytitle:c11h12n2o2}}\nthe molecular formula c11h12n2o2 (molar mass : 204.22 g/mol, exact mass "}
{"subject": "math:C9H11NO3", "predicate": "proves", "object": "{{displaytitle:c9h11no3}}\nthe molecular formula c9h11no3 (molar mass: 181.18 g/mol, exact mass: 181."}
{"subject": "math:C9H6O3", "predicate": "proves", "object": "{{displaytitle:c9h6o3}}\nthe molecular formula c9h6o3 (molar mass: 162.14 g/mol, exact mass: 162.0316"}
{"subject": "math:C9H12N2O6", "predicate": "proves", "object": "{{displaytitle:c9h12n2o6}}\nthe molecular formula c9h12n2o6 (molar mass: 244.20 g/mol, exact mass: 24"}
{"subject": "math:C18H16O7", "predicate": "proves", "object": "{{displaytitle:c18h16o7}}\nthe molecular formula c18h16o7 (molar mass: 344.31 g/mol, exact mass: 344."}
{"subject": "math:WFAL", "predicate": "proves", "object": "wfal may refer to:\n\n wfal (fm), a radio station (105.9 fm) licensed to serve milner, georgia, united"}
{"subject": "math:Acetolactone", "predicate": "proves", "object": "acetolactone or \u03b1-acetolactone is an organic compound with formula c2h2o2. it is the smallest member"}
{"subject": "math:Geoffrey_Arend", "predicate": "proves", "object": "geoffrey rashid arend (born february 28, 1978) is an american actor. he is best known for his role a"}
{"subject": "math:Guido_Zappa", "predicate": "proves", "object": "guido zappa (7 december 1915 \u2013 17 march 2015) was an italian mathematician and a noted group theoris"}
{"subject": "math:Ino_Kolbe", "predicate": "proves", "object": "ino kolbe (february 28, 1914 \u2013 february 16, 2010), born ino voigt, was a german esperantist and auth"}
{"subject": "math:C8H8O3", "predicate": "proves", "object": "{{displaytitle:c8h8o3}}\nthe molecular formula c8h8o3 (molar mass: 152.15 g/mol) may refer to:\n\n anis"}
{"subject": "math:C17H27NO2", "predicate": "proves", "object": "{{displaytitle:c17h27no2}}\nthe molecular formula c17h27no2 (molar mass: 277.40 g/mol, exact mass: 27"}
{"subject": "math:C63H88CoN14O14P", "predicate": "proves", "object": "{{displaytitle: c63h88con14o14p}}\nthe molecular formula c63h88con14o14p (molar mass: 1355.36 g/mol) "}
{"subject": "math:C19H16O4", "predicate": "proves", "object": "{{displaytitle:c19h16o4}}\nthe molecular formula c19h16o4 (molar mass: 308.33 g/mol, exact mass: 308."}
{"subject": "math:C13H8O2", "predicate": "proves", "object": "{{displaytitle:c13h8o2}} \nthe molecular formula c13h8o2 (molar mass: 196.20 g/mol, exact mass: 196.0"}
{"subject": "math:C21H26N2O3", "predicate": "proves", "object": "{{displaytitle:c21h26n2o3}}\nthe molecular formula c21h26n2o3 may refer to:\n\n corynanthine\n dregamine"}
{"subject": "math:Georges_Giraud", "predicate": "proves", "object": "georges julien giraud (22 july 1889 \u2013 16 march 1943) was a french mathematician, working in potentia"}
{"subject": "math:Lucio_Lombardo-Radice", "predicate": "proves", "object": "lucio lombardo-radice (catania, 10 july 1916; brussels, 21 november 1982) was an italian mathematici"}
{"subject": "math:Mass_matrix", "predicate": "proves", "object": "in analytical mechanics, the mass matrix is a symmetric matrix  that expresses the connection betwee"}
{"subject": "math:2,3-Dihydrothiophene", "predicate": "proves", "object": "2,3-dihydrothiophene is a heterocyclic compound and an organosulfur compound with the formula sc4h6."}
{"subject": "math:Thiane", "predicate": "proves", "object": "thiane is a heterocyclic compound and an organosulfur compound with the formula (ch2)5s.  it is a sa"}
{"subject": "math:Thiopyran", "predicate": "proves", "object": "thiopyran is a heterocyclic compound with the chemical formula c5h6s. it has two isomers, 2h-thiopyr"}
{"subject": "math:Thiirene", "predicate": "proves", "object": "thiirene is an organosulfur compound with the formula c2h2s.  it can be viewed as a derivative of cy"}
{"subject": "math:Thiepane", "predicate": "proves", "object": "thiepane is the organosulfur compound with the formula (ch2)6s. thiepanes are seven-membered ring he"}
{"subject": "math:Oxepane", "predicate": "proves", "object": "oxepane is a heterocyclic chemical compound with the formula c6h12o: a cycloheptane in which one met"}
{"subject": "math:Azepane", "predicate": "proves", "object": "azepane is the organic compound with the formula (ch2)6nh.  it is a colorless liquid.  a cyclic seco"}
{"subject": "math:Right_conoid", "predicate": "proves", "object": "in geometry, a right conoid is a ruled surface generated by a family of straight lines that all inte"}
{"subject": "math:Creatura_nuda", "predicate": "proves", "object": "creatura nuda (nude creature) is the first album from italian singer valentina giovagnini. it was re"}
{"subject": "math:Wallis's_conical_edge", "predicate": "proves", "object": "in geometry, wallis's conical edge is a ruled surface given by the parametric equations\n \nwhere ,  a"}
{"subject": "math:1955_Australian_Grand_Prix", "predicate": "proves", "object": "the 1955 australian grand prix was a motor race held at the port wakefield circuit in south australi"}
{"subject": "math:Billy_Frazer", "predicate": "proves", "object": "billy frazer (born 30 december 2002) is a new zealand racing driver. he currently competes in the u."}
{"subject": "math:Complex_lamellar_vector_field", "predicate": "proves", "object": "in vector calculus, a complex lamellar vector field is a vector field which is orthogonal to a famil"}
{"subject": "math:Beltrami_vector_field", "predicate": "proves", "object": "in vector calculus, a beltrami vector field, named after eugenio beltrami, is a vector field in thre"}
{"subject": "math:Helical_extrusion", "predicate": "proves", "object": "helical extrusion technology is applied in the plastic pipe industry. basically the production proce"}
{"subject": "math:J._Halcombe_Laning", "predicate": "proves", "object": "j. halcombe \"hal\" laning jr. (february 14, 1920, in kansas city, missouri \u2013 may 29, 2012) was a mass"}
{"subject": "math:C3H6S", "predicate": "proves", "object": "{{displaytitle:c3h6s}}\nthe molecular formula c3h6s (molar mass: 74.14 g/mol, exact mass: 74.0190 u) "}
{"subject": "math:C2H4S2", "predicate": "proves", "object": "{{displaytitle:c2h4s2}}\nthe molecular formula c2h4s2 (molar mass: 92.18 g/mol, exact mass: 91.97544 "}
{"subject": "math:C6H12S", "predicate": "proves", "object": "{{displaytitle:c6h12s}}\nthe molecular formula c6h12s (molar mass: 116.22 g/mol, exact mass: 116.0660"}
{"subject": "math:C5H10S", "predicate": "proves", "object": "{{displaytitle:c5h10s}}\nthe molecular formula c5h10s (molar mass: 102.20 g/mol, exact mass: 102.0503"}
{"subject": "math:C2O4", "predicate": "proves", "object": "{{displaytitle:c2o4}}\nthe molecular formula c2o4 (molar mass: 88.02 g/mol) may refer to:\n\n oxalate ("}
{"subject": "math:C6O6", "predicate": "proves", "object": "{{displaytitle:c6o6}} \nthe molecular formula c6o6 (molar mass: 168.06 g/mol, exact mass: 167.9695 u)"}
{"subject": "math:Noro\u2013Frenkel_law_of_corresponding_states", "predicate": "proves", "object": "the noro\u2013frenkel law of corresponding states is an equation in thermodynamics that describes the cri"}
{"subject": "math:The_Soap_Myth", "predicate": "proves", "object": "the soap myth is a play by american playwright jeff cohen. it dramatizes the conflict between holoca"}
{"subject": "math:Basic_Element", "predicate": "proves", "object": "basic element is a term in algebra.\n\nbasic element may refer to:\nbasic element (company)\nbasic eleme"}
{"subject": "math:Adrien_Tambay", "predicate": "proves", "object": "adrien tambay (born 25 february 1991) is a french professional racing driver. he currently is an off"}
{"subject": "math:Roberto_Merhi", "predicate": "proves", "object": "roberto merhi muntan (born 22 march 1991), is a spanish racing driver who previously competed in for"}
{"subject": "math:Undecylic_acid", "predicate": "proves", "object": "undecylic acid (systematically named undecanoic acid) is a carboxylic acid with chemical formula . i"}
{"subject": "math:Pl\u00fccker's_conoid", "predicate": "proves", "object": "in geometry, pl\u00fccker's conoid is a ruled surface named after the german mathematician julius pl\u00fccker"}
{"subject": "math:Holographic_theory", "predicate": "proves", "object": "holographic theory may refer to:\n\n the holographic principle - a concept in physics whereby a space "}
{"subject": "math:2,3,7,8-Tetrachlorodibenzodioxin", "predicate": "proves", "object": "2,3,7,8-tetrachlorodibenzo-p-dioxin (tcdd) is a polychlorinated dibenzo-p-dioxin (sometimes shortene"}
{"subject": "math:Croconic_acid", "predicate": "proves", "object": "croconic acid (also known as 4,5-dihydroxycyclopentenetrione, crocic acid or pentagonic acid) is a c"}
{"subject": "math:Alessandro_Vita_Kouzkin", "predicate": "proves", "object": "alessandro vita kouzkin (; born 3 september 1992 in rome, italy) is a russian-italian race car drive"}
{"subject": "math:Rhodizonic_acid", "predicate": "proves", "object": "rhodizonic acid is a chemical compound with formula  or . it can be seen as a twofold enol and fourf"}
{"subject": "math:Nekhoroshev_estimates", "predicate": "proves", "object": "the nekhoroshev estimates are an important result in the theory of hamiltonian systems concerning th"}
{"subject": "math:Catalan_surface", "predicate": "proves", "object": "in geometry, a catalan surface, named after the belgian mathematician eug\u00e8ne charles catalan, is a r"}
{"subject": "math:Matthias_Flach_(mathematician)", "predicate": "proves", "object": "matthias flach is a german mathematician, professor and former executive officer for mathematics (de"}
{"subject": "math:Dry_gas_seal", "predicate": "proves", "object": "dry gas seals are non-contacting, dry-running mechanical face seals that consist of a mating (rotati"}
{"subject": "math:Gross_processing_margin", "predicate": "proves", "object": "in commodities industries, the gross processing margin (gpm) refers to the difference between the co"}
{"subject": "math:Normally_hyperbolic_invariant_manifold", "predicate": "proves", "object": "a normally hyperbolic invariant manifold (nhim) is a natural generalization of a hyperbolic fixed po"}
{"subject": "math:Formula_pricing", "predicate": "proves", "object": "in commodities transactions, formula pricing is an arrangement where a buyer and seller agree in adv"}
{"subject": "math:Jack_Christie", "predicate": "proves", "object": "jack christie is a former formula car racer and manager and adviser to drivers including paul tracy,"}
{"subject": "math:August_2009_in_sports", "predicate": "proves", "object": "\n\ndeaths in august\n\n 8: daniel jarque\n 24: toni sailer\n 29: frank gardner\n\ncurrent sporting seasons\n"}
{"subject": "math:Formula_funds", "predicate": "proves", "object": "formula funds refer to the federal dollars distributed to the land grant colleges of agriculture thr"}
{"subject": "math:Mk_1_grenade", "predicate": "proves", "object": "the mk 1 grenade (sometimes spelled mk i) is a fragmentation hand grenade used by american forces du"}
{"subject": "math:Findley_payments", "predicate": "proves", "object": "findley payments \u2014 under the so-called findley provision authorized by the food security act of 1985"}
{"subject": "math:Andrei_Bolibrukh", "predicate": "proves", "object": "andrei andreevich bolibrukh () (30 january 1950 \u2013 11 november 2003) was a soviet and russian mathema"}
{"subject": "math:Olivier_Couvreur", "predicate": "proves", "object": "olivier couvreur (born 23 may 1970) is a french champion driver in the championnat de france formula"}
{"subject": "math:Hans_Gissinger", "predicate": "proves", "object": "hans gissinger is a swiss commercial, editorial, and fine-art photographer whose work has received w"}
{"subject": "math:Non-squeezing_theorem", "predicate": "proves", "object": "the non-squeezing theorem, also called gromov's non-squeezing theorem, is one of the most important "}
{"subject": "math:Homogeneous_coordinate_ring", "predicate": "proves", "object": "in algebraic geometry, the homogeneous coordinate ring r of an algebraic variety v given as a subvar"}
{"subject": "math:Johnnie_Walker_(racing_driver)", "predicate": "proves", "object": "johnnie walker (aka john walker) is a former australian racing driver, born in adelaide, south austr"}
{"subject": "math:Arithmetic_topology", "predicate": "proves", "object": "arithmetic topology is an area of mathematics that is a combination of algebraic number theory and t"}
{"subject": "math:Gordan's_lemma", "predicate": "proves", "object": "gordan's lemma is a lemma in convex geometry and algebraic geometry. it can be stated in several way"}
{"subject": "math:Niko_Palhares", "predicate": "proves", "object": "niko palhares (born february 24, 1966) is a brazilian former racing driver.\n\npalhares began in formu"}
{"subject": "math:Dave_Coyne", "predicate": "proves", "object": "david coyne (born 31 march 1958) is a british racing driver.\n\ncoyne was a rising star in formula for"}
{"subject": "math:Erd\u0151s\u2013Dushnik\u2013Miller_theorem", "predicate": "proves", "object": "in the mathematical theory of infinite graphs, the erd\u0151s\u2013dushnik\u2013miller theorem is a form of ramsey'"}
{"subject": "math:Otto_Sackur", "predicate": "proves", "object": "otto sackur (28 september 1880 in breslau, germany \u2013 17 december 1914 in berlin, germany) was a germ"}
{"subject": "math:Fiat\u2013Shamir_heuristic", "predicate": "proves", "object": "in cryptography, the fiat\u2013shamir heuristic is a technique for taking an interactive proof of knowled"}
{"subject": "math:Asymptotic_homogenization", "predicate": "proves", "object": "in mathematics and physics, homogenization is a method of studying partial differential equations wi"}
{"subject": "math:Chlorocalcite", "predicate": "proves", "object": "chlorocalcite is a rare potassium calcium chloride evaporite mineral with formula: kcacl3. it is fou"}
{"subject": "math:Antarcticite", "predicate": "proves", "object": "antarcticite is an uncommon calcium chloride hexahydrate mineral with formula cacl2\u00b76h2o. it forms c"}
{"subject": "math:Proofs_of_elementary_ring_properties", "predicate": "proves", "object": "the following proofs of elementary ring properties use only the axioms that define a mathematical ri"}
{"subject": "math:Spectral_triple", "predicate": "proves", "object": "in noncommutative geometry and related branches of mathematics and mathematical physics, a spectral "}
{"subject": "math:Maybe_(Ingrid_Michaelson_song)", "predicate": "proves", "object": "\"maybe\" is the first single off ingrid michaelson's fourth studio album, everybody. the song was fea"}
{"subject": "math:Huoxiang_Zhengqi_Shui", "predicate": "proves", "object": "huoxiang zhengqi shui () is a liquid herbal formula used in traditional chinese medicine to \"induce "}
{"subject": "math:FPK", "predicate": "proves", "object": "fpk may refer to:\n federal party of kenya\n finsbury park station, in london\n first people of the kal"}
{"subject": "math:Trimethylsilylacetylene", "predicate": "proves", "object": "trimethylsilylacetylene is the organosilicon compound with the formula .  a colorless liquid, \"tms a"}
{"subject": "math:Learning_with_errors", "predicate": "proves", "object": "in cryptography, learning with errors (lwe) is a mathematical problem that is widely used in cryptog"}
{"subject": "math:Polyspheric", "predicate": "proves", "object": "the polyspheric or poly engines were v8 engines produced by chrysler from 1955 to 1958 as lower-cost"}
{"subject": "math:Szpilrajn_extension_theorem", "predicate": "proves", "object": "in order theory, the szpilrajn extension theorem (also called the order-extension principle), proved"}
{"subject": "math:Acetaminosalol", "predicate": "proves", "object": "acetaminosalol is an organic compound with the chemical formula c15h13no4.\n\nit is an esterification "}
{"subject": "math:C15H13NO4", "predicate": "proves", "object": "{{displaytitle:c15h13no4}}\nthe molecular formula c15h13no4 (molar mass: 271.24 g/mol, exact mass: 27"}
{"subject": "math:Acetamiprid", "predicate": "proves", "object": "{{chembox\n| verifiedfields = changed\n| watchedfields = changed\n| verifiedrevid = 477238617\n| imagefi"}
{"subject": "math:Acetoguanamine", "predicate": "proves", "object": "acetoguanamine is an organic compound with the chemical formula (cnh2)2cch3n3.  it is related to mel"}
{"subject": "math:Allantoic_acid", "predicate": "proves", "object": "allantoic acid is an organic compound with the chemical formula c4h8n4o4. it is a crystalline acid o"}
{"subject": "math:Allyl_propyl_disulfide", "predicate": "proves", "object": "allyl propyl disulfide is an organosulfur compound with the chemical formula c3h5s2c3h7. it is a vol"}
{"subject": "math:C6H12S2", "predicate": "proves", "object": "{{displaytitle:c6h12s2}}\nthe molecular formula c6h12s2 (molar mass: 148.28 g/mol, exact mass: 148.03"}
{"subject": "math:Anilazine", "predicate": "proves", "object": "anilazine (\u01ce-n\u01d0l-a-z\u0113n) is an organic compound with the chemical formula c9h5cl3n4. it is a pesticid"}
{"subject": "math:Anthramine", "predicate": "proves", "object": "anthramine (1-aminoanthracene) (an organic compound with the chemical formula c14h11n.) is a fluores"}
{"subject": "math:C14H11N", "predicate": "proves", "object": "{{displaytitle:c14h11n}}\nthe molecular formula c14h11n may refer to:\n\n anthramine\n dibenzazepine (im"}
{"subject": "math:Formulation", "predicate": "proves", "object": "formulation is a term used in various senses in various applications, both the material and the abst"}
{"subject": "math:Azo_violet", "predicate": "proves", "object": "azo violet (magneson i; p-nitrobenzeneazoresorcinol)  is an azo compound with the chemical formula c"}
{"subject": "math:Azure_A", "predicate": "proves", "object": "azure a is an organic compound with the chemical formula c14h14cln3s. it is a light blue to dark blu"}
{"subject": "math:1953_Australian_Grand_Prix", "predicate": "proves", "object": "the 1953 australian grand prix was a formula libre motor race held at albert park street circuit, vi"}
{"subject": "math:C20H24O4", "predicate": "proves", "object": "{{displaytitle:c20h24o4}}\nthe molecular formula c20h24o4 may refer to:\n\n bipinnatin_j\n crocetin, a n"}
{"subject": "math:C17H19NO3", "predicate": "proves", "object": "{{displaytitle:c17h19no3}}\nthe molecular formula c17h19no3 may refer to:\n\n aposcopolamine\n chavicine"}
{"subject": "math:C11H22O2", "predicate": "proves", "object": "{{displaytitle:c11h22o2}}\nthe molecular formula c11h22o2 (molar mass: 186.29 g/mol, exact mass: 186."}
{"subject": "math:Benz(a)anthracene", "predicate": "proves", "object": "benz[a]anthracene or benzo[a]anthracene is a polycyclic aromatic hydrocarbon with the chemical formu"}
{"subject": "math:Benzo(c)phenanthrene", "predicate": "proves", "object": "benzo[c]phenanthrene is a polycyclic aromatic hydrocarbon with the chemical formula c18h12. it is a "}
{"subject": "math:Benzo(e)pyrene", "predicate": "proves", "object": "benzo[e]pyrene is a polycyclic aromatic hydrocarbon with the chemical formula c20h12. it is listed a"}
{"subject": "math:Benzo(ghi)perylene", "predicate": "proves", "object": "benzo[ghi]perylene is a polycyclic aromatic hydrocarbon with the chemical formula c22h12.\n\noccurrenc"}
{"subject": "math:Benzo(j)fluoranthene", "predicate": "proves", "object": "benzo[j]fluoranthene (bjf) is an organic compound with the chemical formula c20h12. classified as a "}
{"subject": "math:Benzo(k)fluoranthene", "predicate": "proves", "object": "benzo[k]fluoranthene is an organic compound with the chemical formula c20h12. classified as a polycy"}
{"subject": "math:Benzo(c)thiophene", "predicate": "proves", "object": "benzo[c]thiophene is an organic compound with the chemical formula c8h6s.\n\nthe similarly named benzo"}
{"subject": "math:Bromacil", "predicate": "proves", "object": "bromacil is an organic compound with the chemical formula c9h13brn2o2, commercially available as a h"}
{"subject": "math:Bromocyclohexane", "predicate": "proves", "object": "bromocyclohexane (also called cyclohexyl bromide, abbreviated cxb) is an organic compound with the c"}
{"subject": "math:Butyryl_chloride", "predicate": "proves", "object": "butyryl chloride is an organic compound with the chemical formula ch3ch2ch2c(o)cl.  it is a colorles"}
{"subject": "math:C4H7ClO", "predicate": "proves", "object": "{{displaytitle:c4h7clo}}\nthe molecular formula c4h7clo may refer to:\n\n butyryl chloride, an organic "}
{"subject": "math:Algebraic_Petri_net", "predicate": "proves", "object": "an algebraic petri net (apn) is an evolution of the well known petri net in which elements of user d"}
{"subject": "math:List_of_Superleague_Formula_football_clubs", "predicate": "proves", "object": "this is a list of superleague formula football clubs. twenty-three cars sporting liveries of famous "}
{"subject": "math:C17H34O2", "predicate": "proves", "object": "{{displaytitle:c17h34o2}}\nthe molecular formula c17h34o2 (molar mass: 270.45 g/mol, exact mass: 270."}
{"subject": "math:C7H17N", "predicate": "proves", "object": "{{displaytitle:c7h17n}}\nthe molecular formula c7h17n (molar mass: 115.22 g/mol, exact mass: 115.1361"}
{"subject": "math:Cacotheline", "predicate": "proves", "object": "cacotheline is an organic compound with the chemical formula c21h21n3o7.  it is a nitro derivative o"}
{"subject": "math:C12H24O11", "predicate": "proves", "object": "{{displaytitle:c12h24o11}}\nthe molecular formula c12h24o11 (molar mass : 344.31 g/mol) may refer to:"}
{"subject": "math:C12H22O10", "predicate": "proves", "object": "{{displaytitle:c12h22o10}}\nthe molecular formula c12h22o10 (molar mass: 326.29 g/mol, exact mass: 32"}
{"subject": "math:Chloranilic_acid", "predicate": "proves", "object": "chloranilic acid is an organic compound with the chemical formula .  it is a red-orange solid.  the "}
{"subject": "math:C7H7ClO", "predicate": "proves", "object": "{{displaytitle:c7h7clo}}\nthe molecular formula c7h7clo (molar mass: 142.58 g/mol, exact mass: 142.01"}
{"subject": "math:2-Chlorostyrene", "predicate": "proves", "object": "2-chlorostyrene is a chlorinated derivative of styrene with the chemical formula c8h7cl.\n\nreferences"}
{"subject": "math:Chloroxuron", "predicate": "proves", "object": "chloroxuron is an organic compound with the chemical formula c15h15cln2o2 used as an herbicide. it i"}
{"subject": "math:Chlorthiamide", "predicate": "proves", "object": "chlorthiamide is an organic compound with the chemical formula c7h5cl2ns used as an herbicide.\n\nchlo"}
{"subject": "math:Cresyl_violet", "predicate": "proves", "object": "cresyl violet is an organic compound with the chemical formula c19h18cln3o. it is a basic dye and is"}
{"subject": "math:C19H18ClN3O", "predicate": "proves", "object": "{{displaytitle:c19h18cln3o}}\nthe molecular formula c19h18cln3o (molar mass: 339.82 g/mol, exact mass"}
{"subject": "math:Cyclodecane", "predicate": "proves", "object": "cyclodecane is a cycloalkane with the chemical formula c10h20.\n\nreferences\n\nexternal links\n \n\ncycloa"}
{"subject": "math:C10H20", "predicate": "proves", "object": "{{displaytitle:c10h20}}\nthe molecular formula c10h20 (molar mass: 140.26 g/mol, exact mass: 140.1565"}
{"subject": "math:Cyclododecane", "predicate": "proves", "object": "cyclododecane is an organic compound with the chemical formula (ch2)12. it is a waxy white solid at "}
{"subject": "math:Mar\u00eda_de_Villota", "predicate": "proves", "object": "mar\u00eda de villota comba (13 january 1979\u00a0\u2013 11 october 2013) was a spanish racing driver who competed "}
{"subject": "math:Graham_Coaker", "predicate": "proves", "object": "graham vincent coaker (1932 \u2013 12 april 1971) was a british engineer and businessman, who was one of "}
{"subject": "math:Ehrenfest_equations", "predicate": "proves", "object": "ehrenfest equations (named after paul ehrenfest) are equations which describe changes in specific he"}
{"subject": "math:Collinearity_equation", "predicate": "proves", "object": "the collinearity equations are a set of two equations, used in photogrammetry and computer stereo vi"}
{"subject": "math:Demeton", "predicate": "proves", "object": "demeton, sold as an amber oily liquid with a sulphur like odour under the name systox, is an organop"}
{"subject": "math:Diethylaluminium_chloride", "predicate": "proves", "object": "diethylaluminium chloride, abbreviated deac, is an organoaluminium compound. although usually given "}
{"subject": "math:C21H30O5", "predicate": "proves", "object": "{{displaytitle:c21h30o5}}\nthe molecular formula c21h30o5 (molar mass: 362.46 g/mol, exact mass: 362."}
{"subject": "math:Diisoheptyl_phthalate", "predicate": "proves", "object": "diisoheptyl phthalate is a phthalate used as a plasticizer.  diisoheptyl phthalate is typically a mi"}
{"subject": "math:2,6-Di-tert-butylpyridine", "predicate": "proves", "object": "2,6-di-tert-butylpyridine is an organic compound with the formula (me3c)2c5h3n.  this colourless, oi"}
{"subject": "math:Soap_dish", "predicate": "proves", "object": "a soap dish is a shallow, open container or platform where a bar of soap may be placed to dry after "}
{"subject": "math:2009_Guanajuato_and_Hidalgo_shootings", "predicate": "proves", "object": "the 2009 guanajuato and hidalgo shootings were several shootouts that occurred on august 6, 2009 in "}
{"subject": "math:Stupika", "predicate": "proves", "object": "a stupika is a small votive stupa. it is often accompanied by small votive tablets with buddhist for"}
{"subject": "math:C6H4N2O5", "predicate": "proves", "object": "{{displaytitle:c6h4n2o5}}\nthe molecular formula c6h4n2o5 may refer to:\n\n dinitrophenols\n 2,3-dinitro"}
{"subject": "math:C3H9NO", "predicate": "proves", "object": "{{displaytitle:c3h9no}}\nthe molecular formula c3h9no (molar mass: 75.11 g/mol, exact mass: 75.0684 u"}
{"subject": "math:C3H6N2", "predicate": "proves", "object": "{{displaytitle:c3h6n2}}\nthe molecular formula c3h6n2 (molar mass: 70.09 g/mol, exact mass: 70.0531 u"}
{"subject": "math:C11H8N2", "predicate": "proves", "object": "{{displaytitle:c11h8n2}}\nthe molecular formula c11h8n2 (molar mass: 168.19 g/mol, exact mass: 168.06"}
{"subject": "math:C6H13N", "predicate": "proves", "object": "{{displaytitle:c6h13n}}\nthe molecular formula c6h13n (molar mass: 99.17 g/mol, exact mass: 99.1048 u"}
{"subject": "math:C3H10N2", "predicate": "proves", "object": "{{displaytitle: c3h10n2}}\nthe molecular formula c3h10n2 (molar mass: 74.12 g/mol, exact mass: 74.084"}
{"subject": "math:C4H11NO", "predicate": "proves", "object": "{{displaytitle:c4h11no}}\nthe molecular formula c4h11no (molar mass: 89.14 g/mol, exact mass: 89.0840"}
{"subject": "math:C8H19N", "predicate": "proves", "object": "{{displaytitle:c8h19n}}\nthe molecular formula c8h19n (molar mass: 129.24 g/mol) may refer to:\n\n dibu"}
{"subject": "math:C7H10N2", "predicate": "proves", "object": "{{displaytitle:c7h10n2}}\nthe molecular formula c7h10n2 may refer to:\n\n diaminotoluenes\n 2,4-diaminot"}
{"subject": "math:C2H7NO2S", "predicate": "proves", "object": "{{displaytitle:c2h7no2s}}\nthe molecular formula c2h7no2s (molar mass: 109.15 g/mol) may refer to:\n\n "}
{"subject": "math:C10H15N", "predicate": "proves", "object": "{{displaytitle:c10h15n}}\nthe molecular formula c10h15n (molar mass: 149.23 g/mol, exact mass: 149.12"}
{"subject": "math:C12H21N", "predicate": "proves", "object": "{{displaytitle:c12h21n}}\nthe molecular formula c12h21n (molar mass: 179.30 g/mol, exact mass: 179.16"}
{"subject": "math:CH5NO", "predicate": "proves", "object": "{{displaytitle:ch5no}}\nthe molecular formula ch5no (molar mass: 47.057 g/mol) may refer to:\n\n aminom"}
{"subject": "math:C5H13N", "predicate": "proves", "object": "{{displaytitle:c5h13n}}\nthe molecular formula c5h13n (molar mass: 87.166 g/mol, exact mass: 87.10480"}
{"subject": "math:C7H16O", "predicate": "proves", "object": "{{displaytitle:c7h16o}}\nthe molecular formula c7h16o may refer to:\n tert-amyl ethyl ether\n 3-ethylpe"}
{"subject": "math:C8H10O2", "predicate": "proves", "object": "{{displaytitle:c8h10o2}}\nthe molecular formula c8h10o2 (molar mass: 138.164 g/mol) may refer to:\n\n a"}
{"subject": "math:C8H10O3", "predicate": "proves", "object": "{{displaytitle:c8h10o3}}\nthe molecular formula c8h10o3 (molar mass: 154.16 g/mol, exact mass: 154.06"}
{"subject": "math:C11H16O2", "predicate": "proves", "object": "{{displaytitle:c11h16o2}} \nthe molecular formula c11h16o2 (molar mass: 180.24354 g/mol, exact mass: "}
{"subject": "math:Ministry_of_Tourism_and_Lands", "predicate": "proves", "object": "the ministry of tourism and lands (; ) is the central government ministry of sri lanka responsible f"}
{"subject": "math:C7H5NO3", "predicate": "proves", "object": "{{displaytitle:c7h5no3}}\nthe molecular formula c7h5no3 (molar mass: 151.12 g/mol, exact mass: 151.02"}
{"subject": "math:Cornelian_(disambiguation)", "predicate": "proves", "object": "cornelian (usually spelled \"carnelian\") is a reddish-brown variety of the mineral chalcedony.\n\ncorne"}
{"subject": "math:List_of_Superleague_Formula_circuits", "predicate": "proves", "object": "this is a list of superleague formula circuits, that is a list of circuits which have hosted at leas"}
{"subject": "math:Proof_(2004_TV_series)", "predicate": "proves", "object": "proof is an irish television series, co-produced by subotica for broadcast on rt\u00e9; it was first broa"}
{"subject": "math:Khatyrkite", "predicate": "proves", "object": "khatyrkite ( ) is a rare mineral which is mostly composed of copper and aluminium, but may contain u"}
{"subject": "math:Dundrod_Circuit", "predicate": "proves", "object": "dundrod circuit  is a motorsport street circuit used for the ulster trophy for formula one and formu"}
{"subject": "math:Cupalite", "predicate": "proves", "object": "cupalite is a rare mineral which is mostly composed of copper and aluminium, but might contain up to"}
{"subject": "math:George_Fouch\u00e9", "predicate": "proves", "object": "george robert fouch\u00e9 (nicknamed fast fouch\u00e9; 15 may 1965 \u2013 5 may 2023) was a south african and inter"}
{"subject": "math:Perspectivity", "predicate": "proves", "object": "in geometry and in its applications to drawing, a perspectivity is the formation of an image in a pi"}
{"subject": "math:Algebraic_definition", "predicate": "proves", "object": "in mathematical logic, an algebraic definition is one that can be given using only equations between"}
{"subject": "math:Contraction_band_necrosis", "predicate": "proves", "object": "contraction band necrosis is a type of uncontrolled cell death (necrosis) unique to cardiac myocytes"}
{"subject": "math:Norethisterone_enanthate", "predicate": "proves", "object": "norethisterone enanthate (nete), also known as norethindrone enanthate, is a form of hormonal birth "}
{"subject": "math:C2H2N2O", "predicate": "proves", "object": "{{displaytitle:c2h2n2o}}\nthe molecular formula c2h2n2o (molar mass: 70.05 g/mol, exact mass: 70.0167"}
{"subject": "math:C6H8N2O2", "predicate": "proves", "object": "{{displaytitle:c6h8n2o2}}\nthe molecular formula c6h8n2o2 (molar mass: 140.14 g/mol, exact mass: 140."}
{"subject": "math:C5H7NOS", "predicate": "proves", "object": "{{displaytitle:c5h7nos}}\nthe molecular formula c5h7nos (molar mass: 129.18 g/mol, exact mass: 129.02"}
{"subject": "math:C3H5NO2", "predicate": "proves", "object": "{{displaytitle:c3h5no2}}\nthe molecular formula c3h5no2 (molar mass: 87.08 g/mol, exact mass: 87.0320"}
{"subject": "math:C10H10O3", "predicate": "proves", "object": "{{displaytitle:c10h10o3}}\nthe molecular formula c10h10o3 (molar mass : 178.185 g/mol, exact mass : 1"}
{"subject": "math:C8H13NO2", "predicate": "proves", "object": "{{displaytitle:c8h13no2}}\nthe molecular formula c8h13no2 (molar mass: 155.19 g/mol, exact mass: 155."}
{"subject": "math:C10H13N", "predicate": "proves", "object": "the molecular formula c10h13n (molar mass 147.219 g/mol, exact mass: 147.1048 u) may refer to:\n\n act"}
{"subject": "math:C13H9NO", "predicate": "proves", "object": "{{displaytitle:c13h9no}}\nthe molecular formula c13h9no (molar mass: 195.22 g/mol, exact mass: 195.06"}
{"subject": "math:C7H8N2", "predicate": "proves", "object": "{{displaytitle:c7h8n2}}\nthe molecular formula c7h8n2 (molar mass: 120.15 g/mol, exact mass: 120.0687"}
{"subject": "math:C8H7NS", "predicate": "proves", "object": "{{displaytitle:c8h7ns}}\nthe molecular formula c8h7ns (molar mass: 149.21 g/mol, exact mass: 149.0299"}
{"subject": "math:C14H19NO", "predicate": "proves", "object": "{{displaytitle:c14h19no}}\nthe molecular formula c14h19no may refer to:\n\n alpha-pyrrolidinobutiopheno"}
{"subject": "math:C8H6N2O2", "predicate": "proves", "object": "{{displaytitle:c8h6n2o2}}\nthe molecular formula c8h6n2o2 may refer to:\n\n fenadiazole, a hypnotic dru"}
{"subject": "math:C9H15NO2", "predicate": "proves", "object": "{{displaytitle:c9h15no2}}\nthe molecular formula c9h15no2 (molar mass: 169.22 g/mol) may refer to:\n\n "}
{"subject": "math:C5H7NO2", "predicate": "proves", "object": "{{displaytitle:c5h7no2}}\nthe molecular formula c5h7no2 may refer to:\n\n ethyl cyanoacetate\n piperidin"}
{"subject": "math:C6H4N4", "predicate": "proves", "object": "{{displaytitle:c6h4n4}}\nthe molecular formula c6h4n4 (molar mass: 132.12 g/mol, exact mass: 132.0436"}
{"subject": "math:C5H5NS", "predicate": "proves", "object": "{{displaytitle:c5h5ns}}\nthe molecular formula c5h5ns (molar mass: 111.16 g/mol, exact mass: 111.0143"}
{"subject": "math:C9H9NO2", "predicate": "proves", "object": "{{displaytitle:c9h9no2}}\nthe molecular formula c9h9no2 (molar mass: 163.17 g/mol, exact mass: 163.06"}
{"subject": "math:Sam_Proof", "predicate": "proves", "object": "samuel proof (born may 24, 1973) is an american actor and writer known for his role as raz on the te"}
{"subject": "math:Ricardo_Maur\u00edcio", "predicate": "proves", "object": "ricardo maur\u00edcio (born january 7, 1979) is a brazilian racing driver. he currently drives in the sto"}
{"subject": "math:Oxazoline", "predicate": "proves", "object": "oxazoline is a five-membered heterocyclic organic compound with the formula . it is the parent of a "}
{"subject": "math:Cover_(algebra)", "predicate": "proves", "object": "in abstract algebra, a cover is one instance of some mathematical structure mapping onto another ins"}
{"subject": "math:Ministry_of_Transport_(Brazil)", "predicate": "proves", "object": "the ministry of transport or transportation () is a cabinet-level federal ministry in brazil. it is "}
{"subject": "math:Differential_algebraic_geometry", "predicate": "proves", "object": "differential algebraic geometry is an area of differential algebra that adapts concepts and methods "}
{"subject": "math:Algebraic_differential_geometry", "predicate": "proves", "object": "algebraic differential geometry may refer to:\n\ndifferential algebraic geometry\ndifferential geometry"}
{"subject": "math:Prosolvable_group", "predicate": "proves", "object": "in mathematics, more precisely in algebra, a prosolvable group (less common: prosoluble group) is a "}
{"subject": "math:Superleague_Formula_round_UK", "predicate": "proves", "object": "the superleague formula round uk is a round of the superleague formula. donington park hosted events"}
{"subject": "math:Law_of_total_covariance", "predicate": "proves", "object": "in probability theory, the law of total covariance, covariance decomposition formula, or conditional"}
{"subject": "math:Sodium_tetrachloropalladate", "predicate": "proves", "object": "sodium tetrachloropalladate is an inorganic compound with the chemical formula na2pdcl4. this salt, "}
{"subject": "math:Superleague_Formula_round_Germany", "predicate": "proves", "object": "the superleague formula round germany is a round of the superleague formula. in the 2008 edition at "}
{"subject": "math:C9H10O2", "predicate": "proves", "object": "{{displaytitle:c9h10o2}}\nthe molecular formula c9h10o2 (molar mass: 150.18 g/mol, exact mass: 150.06"}
{"subject": "math:C9H10O3", "predicate": "proves", "object": "{{displaytitle:c9h10o3}}\nthe molecular formula c9h10o3 may refer to:\n\n apocynin, a natural phenol\n c"}
{"subject": "math:C9H10O4", "predicate": "proves", "object": "{{displaytitle:c9h10o4}}\nthe molecular formula c9h10o4 (molar mass : 182.17 g/mol, exact mass : 182."}
{"subject": "math:List_of_Superleague_Formula_records", "predicate": "proves", "object": "this is a list of superleague formula records since the inaugural 2008 superleague formula season. t"}
{"subject": "math:Stokes_operator", "predicate": "proves", "object": "the stokes operator, named after george gabriel stokes, is an unbounded linear operator used in the "}
{"subject": "math:Magnetic_energy", "predicate": "proves", "object": "magnetic energy and electrostatic potential energy are related by maxwell's equations. the potential"}
{"subject": "math:Outline_of_water", "predicate": "proves", "object": "the following outline is provided as an overview of and topical guide to water:\n\nwater \u2013 chemical su"}
{"subject": "math:Distance_from_a_point_to_a_line", "predicate": "proves", "object": "in euclidean geometry, the distance from a point to a line is the shortest distance from a given poi"}
{"subject": "math:Andr\u00e9\u2013Quillen_cohomology", "predicate": "proves", "object": "in commutative algebra, andr\u00e9\u2013quillen cohomology is a theory of cohomology for commutative rings whi"}
{"subject": "math:C7H7Cl", "predicate": "proves", "object": "{{displaytitle:c7h7cl}}\nthe molecular formula c7h7cl (molar mass: 126.58 g/mol, exact mass: 126.0236"}
{"subject": "math:C7H10N2O2S", "predicate": "proves", "object": "{{displaytitle:c7h10n2o2s}}\nthe molecular formula c7h10n2o2s may refer to:\n\ncarbimazole, drug used t"}
{"subject": "math:C9H13NO2", "predicate": "proves", "object": "{{displaytitle:c9h13no2}}\nthe molecular formula c9h13no2 (molar mass:  167.20 g/mol, exact mass: 167"}
{"subject": "math:C10H14O2", "predicate": "proves", "object": "{{displaytitle:c10h14o2}}\nthe molecular formula c10h14o2 may refer to:\n\n 6-amyl-\u03b1-pyrone\n 4-tert-but"}
{"subject": "math:C10H20O2", "predicate": "proves", "object": "{{displaytitle:c10h20o2}}\nthe molecular formula c10h20o2 may refer to:\n\n decanoic acid\n ethyl octano"}
{"subject": "math:C10H21N", "predicate": "proves", "object": "{{displaytitle:c10h21n}}\nthe molecular formula c10h21n (molar mass: 155.28 g/mol, exact mass: 155.16"}
{"subject": "math:C11H16N2O3", "predicate": "proves", "object": "{{displaytitle:c11h16n2o3}}\nc11h16n2o3 may refer to:\n\n butalbital\n enallylpropymal\n nifenalol\n talbu"}
{"subject": "math:C11H17N", "predicate": "proves", "object": "the molecular formula c11h17n (molar mass : 163.25 g/mol, exact mass : 163.1361) may refer to:\n\n dim"}
{"subject": "math:C11H17NO", "predicate": "proves", "object": "{{displaytitle:c11h17no}}\nthe molecular formula c11h17no (molar mass :  179.25 g/mol, exact mass : 1"}
{"subject": "math:Whole_sky_camera", "predicate": "proves", "object": "a whole sky camera is a specialized camera used in meteorology and astronomy for capturing a photogr"}
{"subject": "math:C12H13N3O2", "predicate": "proves", "object": "{{displaytitle:c12h13n3o2}}\nthe molecular formula c12h13n3o2 (molar mass : 231.25 g/mol) may refer t"}
{"subject": "math:C12H14N2O2", "predicate": "proves", "object": "{{displaytitle:c12h14n2o2}}\nthe molecular formula c12h14n2o2 (molar mass : 218.25 g/mol, exact mass "}
{"subject": "math:C12H14N4O2S", "predicate": "proves", "object": "{{displaytitle:c12h14n4o2s}}\nthe molecular formula c12h14n4o2s (molar mass: 278.33 g/mol, exact mass"}
{"subject": "math:C12H14O4", "predicate": "proves", "object": "{{displaytitle:c12h14o4}}\nthe molecular formula c12h14o4 (molar mass: 222.23 g/mol, exact mass: 222."}
{"subject": "math:C12H16N2O3", "predicate": "proves", "object": "{{displaytitle:c12h16n2o3}}\nthe molecular formula c12h16n2o3 (molar mass: 236.27 g/mol) may refer to"}
{"subject": "math:C12H18N2O3", "predicate": "proves", "object": "{{displaytitle:c12h18n2o3}}\nthe molecular formula c12h18n2o3 (molar mass: 238.28 g/mol) may refer to"}
{"subject": "math:C12H19NO", "predicate": "proves", "object": "{{displaytitle:c12h19no}}\nthe molecular formula c12h19no (molar mass: 193.28 g/mol, exact mass: 193."}
{"subject": "math:Superleague_Formula_2009:_The_Game", "predicate": "proves", "object": "superleague formula 2009: the game is a video game based on the 2009 season of the superleague formu"}
{"subject": "math:Dodecanedioic_acid", "predicate": "proves", "object": "dodecanedioic acid (ddda) is a dicarboxylic acid with the formula .  a white solid, the compound fin"}
{"subject": "math:C13H10O", "predicate": "proves", "object": "{{displaytitle:c13h10o}}\nthe molecular formula c13h10o (molar mass: 182.22 g/mol, exact mass: 182.07"}
{"subject": "math:C14H10O4", "predicate": "proves", "object": "{{displaytitle:c14h10o4}}\nthe molecular formula c14h10o4 (molar mass: 242.23 g/mol) may refer to:\n\n "}
{"subject": "math:C14H14O3", "predicate": "proves", "object": "{{displaytitle:c14h14o3}}\nthe molecular formula c14h14o3 (molar mass: 230.25 g/mol, exact mass: 230."}
{"subject": "math:C14H18N2O3", "predicate": "proves", "object": "{{displaytitle:c14h18n2o3}}\nthe molecular formula c14h18n2o3 (molar mass: 262.30 g/mol, exact mass: "}
{"subject": "math:C14H19N3S", "predicate": "proves", "object": "{{displaytitle:c14h19n3s}}\nthe molecular formula c14h19n3s (molar mass: 261.39 g/mol, exact mass: 26"}
{"subject": "math:C14H20ClNO2", "predicate": "proves", "object": "{{displaytitle:c14h20clno2}}\nthe molecular formula c14h20clno2 (molar mass: 269.76 g/mol, exact mass"}
{"subject": "math:C14H21NO2", "predicate": "proves", "object": "{{displaytitle:c14h21no2}}\nthe molecular formula c14h21no2 (molar mass: 235.32 g/mol) may refer to:\n"}
{"subject": "math:C15H10O2", "predicate": "proves", "object": "{{displaytitle:c15h10o2}}\nthe molecular formula c15h10o2 (molar mass : 222.23 g/mol, exact mass : 22"}
{"subject": "math:C15H11ClN2O", "predicate": "proves", "object": "{{displaytitle:c15h11cln2o}}\nthe molecular formula c15h11cln2o (molar mass: 270.71 g/mol, exact mass"}
{"subject": "math:C15H12N2O", "predicate": "proves", "object": "{{displaytitle:c15h12n2o}}\nthe molecular formula c15h12n2o (molar mass: 236.27 g/mol) may refer to:\n"}
{"subject": "math:C15H21NO2", "predicate": "proves", "object": "{{displaytitle:c15h21no2}}\nthe molecular formula c15h21no2 may refer to:\n\n ciclafrine\n ciclonicate\n "}
{"subject": "math:C16H13ClN2O2", "predicate": "proves", "object": "{{displaytitle:c16h13cln2o2}}\nthe molecular formula c16h13cln2o2 (molar mass: 300.74 g/mol, exact ma"}
{"subject": "math:C16H19N3S", "predicate": "proves", "object": "{{displaytitle:c16h19n3s}}\nthe molecular formula c16h19n3s (molar mass: 285.41 g/mol, exact mass: 28"}
{"subject": "math:C16H23NO2", "predicate": "proves", "object": "{{displaytitle:c16h23no2}}\nthe molecular formula c16h23no2 (molar mass : 261.36 g/mol) may refer to:"}
{"subject": "math:C17H20N2S", "predicate": "proves", "object": "{{displaytitle:c17h20n2s}}\nthe molecular formula c17h20n2s (molar mass: 284.42 g/mol, exact mass: 28"}
{"subject": "math:C17H21NO", "predicate": "proves", "object": "{{displaytitle:c17h21no}}\nthe molecular formula c17h21no (molar mass: 255.35 g/mol, exact mass: 255."}
{"subject": "math:C17H23NO", "predicate": "proves", "object": "{{displaytitle:c17h23no}}\nthe molecular formula c17h23no (molar mass: 257.38 g/mol) may refer to:\n\n "}
{"subject": "math:C17H23NO3", "predicate": "proves", "object": "{{displaytitle:c17h23no3}}\nthe molecular formula c17h23no3 may refer to:\n\n acetoxyketobemidone\n atro"}
{"subject": "math:C17H25NO2", "predicate": "proves", "object": "{{displaytitle:c17h25no2}}\nthe molecular formula c17h25no2 (molar mass : 275.39 g/mol) may refer to:"}
{"subject": "math:C17H27NO4", "predicate": "proves", "object": "{{displaytitle:c17h27no4}}\nthe molecular formula c17h27no4 (molar mass: 309.40 g/mol, exact mass: 30"}
{"subject": "math:C18H22ClNO", "predicate": "proves", "object": "{{displaytitle:c18h22clno}}\nthe molecular formula c18h22clno (molar mass: 303.83 g/mol, exact mass: "}
{"subject": "math:C18H22N2", "predicate": "proves", "object": "{{displaytitle:c18h22n2}}\nthe molecular formula c18h22n2 (molar mass: 266.38 g/mol, exact mass: 266."}
{"subject": "math:C18H23NO3", "predicate": "proves", "object": "{{displaytitle:c18h23no3}}\nthe molecular formula c18h23no3 (molar mass : 301.38 g/mol, exact mass : "}
{"subject": "math:C18H25NO", "predicate": "proves", "object": "{{displaytitle:c18h25no}}\nthe molecular formula c18h25no may refer to:\n\n aminoestradiol\n cyclazocine"}
{"subject": "math:C18H34O3", "predicate": "proves", "object": "{{displaytitle:c18h34o3}}\nthe molecular formula c18h34o3 (molar mass: 298.46 g/mol, exact mass: 298."}
{"subject": "math:C19H21N", "predicate": "proves", "object": "{{displaytitle:c19h21n}}\nthe molecular formula c19h21n (molar mass: 263.38 g/mol, exact mass: 263.16"}
{"subject": "math:C19H21NO3", "predicate": "proves", "object": "{{displaytitle:c19h21no3}}\nthe molecular formula c19h21no3 (molar mass: 311.37 g/mol, exact mass: 31"}
{"subject": "math:C19H21NS", "predicate": "proves", "object": "{{displaytitle:c19h21ns}}\nthe molecular formula c19h21ns (molar mass: 295.44 g/mol, exact mass: 295."}
{"subject": "math:C19H24N2", "predicate": "proves", "object": "{{displaytitle:c19h24n2}}\nthe molecular formula c19h24n2 (molar mass: 280.40 g/mol) may refer to:\n\n "}
{"subject": "math:C19H24N2OS", "predicate": "proves", "object": "{{displaytitle:c19h24n2os}}\nthe molecular formula c19h24n2os (molar mass: 328.47 g/mol, exact mass: "}
{"subject": "math:C19H38O2", "predicate": "proves", "object": "{{displaytitle:c19h38o2}}\nthe molecular formula c19h38o2 may refer to:\n\n nonadecylic acid, or nonade"}
{"subject": "math:C19H40", "predicate": "proves", "object": "{{displaytitle:c19h40}}\nthe molecular formula c19h40 (molar mass: 268.51 g/mol, exact mass: 268.3130"}
{"subject": "math:C20H23N", "predicate": "proves", "object": "{{displaytitle:c20h23n}}\nthe molecular formula c20h23n (molar mass: 277.40 g/mol, exact mass: 277.18"}
{"subject": "math:C20H26N2", "predicate": "proves", "object": "{{displaytitle:c20h26n2}}\nthe molecular formula c20h26n2 (molar mass: 294.43 g/mol, exact mass: 294."}
{"subject": "math:C20H27N", "predicate": "proves", "object": "{{displaytitle:c20h27n}}\nthe molecular formula c20h27n (molar mass: 281.44 g/mol) may refer to:\n\n al"}
{"subject": "math:C20H32", "predicate": "proves", "object": "{{displaytitle:c20h32}}\nthe molecular formula c20h32 (molar mass: 272.47 g/mol) may refer to:\n\n \u03b2-ar"}
{"subject": "math:C20H32O2", "predicate": "proves", "object": "{{displaytitle:c20h32o2}}\nthe molecular formula c20h32o2 (molar mass : 304.46 g/mol, exact mass : 30"}
{"subject": "math:C21H27NO2", "predicate": "proves", "object": "{{displaytitle:c21h27no2}}\nthe molecular formula c21h27no2 (molar mass: 325.44 g/mol) may refer to:\n"}
{"subject": "math:C21H28O2", "predicate": "proves", "object": "{{displaytitle:c21h28o2}}\nthe molecular formula c21h28o2 (molar mass: 312.44 g/mol) may refer to:\n\n "}
{"subject": "math:C21H29NO", "predicate": "proves", "object": "{{displaytitle:c21h29no}}\nthe molecular formula c21h29no (molar mass: 311.46 g/mol) may refer to:\n\n "}
{"subject": "math:C21H32O2", "predicate": "proves", "object": "{{displaytitle:c21h32o2}}\nthe molecular formula c21h32o2 (molar mass: 316.47 g/mol, exact mass: 316."}
{"subject": "math:C22H14", "predicate": "proves", "object": "{{displaytitle:c22h14}}\nthe molecular formula c22h14 (molar mass: 278.36 g/mol) may refer to:\n\n dibe"}
{"subject": "math:C22H29NO2", "predicate": "proves", "object": "{{displaytitle:c22h29no2}}\nthe molecular formula c22h29no2 (molar mass: 339.471 g/mol) may refer to:"}
{"subject": "math:C23H29NO3", "predicate": "proves", "object": "{{displaytitle:c23h29no3}}\nthe molecular formula c23h29no3 (molar mass: 367.48 g/mol, exact mass: 36"}
{"subject": "math:C25H32N2O2", "predicate": "proves", "object": "{{displaytitle:c25h32n2o2}}\nthe molecular formula c25h32n2o2 (molar mass: 392.53 g/mol, exact mass: "}
{"subject": "math:C27H44O", "predicate": "proves", "object": "{{displaytitle:c27h44o}}\nthe molecular formula c27h44o (molar mass: 384.63 g/mol, exact mass: 384.33"}
{"subject": "math:C28H44O", "predicate": "proves", "object": "{{displaytitle:c28h44o}}\nthe molecular formula c28h44o (molar mass: 396.65 g/mol, exact mass: 396.33"}
{"subject": "math:C30H48O3", "predicate": "proves", "object": "{{displaytitle:c30h48o3}}\nthe molecular formula c30h48o3 (molar mass: 456.70 g/mol) can represent th"}
{"subject": "math:C31H46O2", "predicate": "proves", "object": "{{displaytitle:c31h46o2}}\nthe molecular formula c31h46o2 (molar mass: 450.69 g/mol, exact mass: 450."}
{"subject": "math:C33H40N2O9", "predicate": "proves", "object": "{{displaytitle:c33h40n2o9}}\nthe molecular formula c33h40n2o9 (molar mass: 608.67 g/mol, exact mass: "}
{"subject": "math:C47H73NO17", "predicate": "proves", "object": "{{displaytitle:c47h73no17}}\nthe molecular formula c47h73no17 (molar mass: 924.08 g/mol, exact mass: "}
{"subject": "math:C14H18O3", "predicate": "proves", "object": "{{displaytitle:c14h18o3}}\n\nthe molecular formula c14h18o3 (molar mass : 234.29 g/mol) may refer to:\n"}
{"subject": "math:C17H26O4", "predicate": "proves", "object": "{{displaytitle:c17h26o4}}\nthe molecular formula c17h26o4 (molar mass 294.38 g/mol, exact mass: 294.1"}
{"subject": "math:C11H8O3", "predicate": "proves", "object": "{{displaytitle:c11h8o3}}\nthe molecular formula c11h8o3 (molar mass: 188.18 g/mol, exact mass: 188.04"}
{"subject": "math:C9H14O", "predicate": "proves", "object": "{{displaytitle:c9h14o}}\nthe molecular formula c9h14o may refer to:\n\n isophorone (\u03b1-isophorone)\n \u03b2-is"}
{"subject": "math:C15H14O", "predicate": "proves", "object": "{{displaytitle:c15h14o}}\nthe molecular formula c15h14o may refer to:\n\n 1,1-diphenylacetone\n dibenzyl"}
{"subject": "math:C13H18O", "predicate": "proves", "object": "{{displaytitle:c13h18o}}\nthe molecular formula c13h18o (molar mass: 190.28 g/mol, exact mass: 190.13"}
{"subject": "math:C4H10O2S2", "predicate": "proves", "object": "{{displaytitle:c4h10o2s2}}\nthe molecular formula c4h10o2s2 (molar mass: 154.25 g/mol, exact mass: 15"}
{"subject": "math:C5H12O3", "predicate": "proves", "object": "{{displaytitle:c5h12o3}}\nthe molecular formula c5h12o3 (molar mass: 120.15 g/mol, exact mass: 120.07"}
{"subject": "math:Choke_manifold", "predicate": "proves", "object": "in oil and gas production a choke manifold is used to lower the pressure from the well head. it cons"}
{"subject": "math:Cotter_pin", "predicate": "proves", "object": "cotter pin may refer to:\n\nin u.s. usage:\nsplit pin, a metal fastener with two tines that are bent du"}
{"subject": "math:Phil_Henny", "predicate": "proves", "object": "phil louis henny (born 31 january 1943, montagny-pr\u00e8s-yverdon, switzerland) is a racing mechanic, dr"}
{"subject": "math:List_of_Superleague_Formula_broadcasters", "predicate": "proves", "object": "this is a list of superleague formula broadcasters, that is, a list of broadcasting networks and med"}
{"subject": "math:Kegelite", "predicate": "proves", "object": "kegelite is a complex silicate mineral with formula pb8al4si8o20(so4)2(co3)4(oh)8.\n\nit was first des"}
{"subject": "math:C15H18", "predicate": "proves", "object": "{{displaytitle:c15h18}}\nthe molecular formula c15h18 (molar mass: 198.30 g/mol) may refer to:\n\n cada"}
{"subject": "math:C7H10", "predicate": "proves", "object": "{{displaytitle:c7h10}}\nthe molecular formula c7h10 may refer to:\n\n cycloheptadienes\n 1,3-cycloheptad"}
{"subject": "math:List_of_derivatives_and_integrals_in_alternative_c", "predicate": "proves", "object": "there are many alternatives to the classical calculus of newton and leibniz; for example, each of th"}
{"subject": "math:Difference_algebra", "predicate": "proves", "object": "difference algebra is a branch of mathematics concerned with the study of difference (or functional)"}
{"subject": "math:C15H10O5", "predicate": "proves", "object": "{{displaytitle:c15h10o5}}\nthe chemical formula c15h10o5 (molar mass : 270.23 g/mol, exact mass : 270"}
{"subject": "math:C10H16O2", "predicate": "proves", "object": "{{displaytitle:c10h16o2}} \nthe molecular formula c10h16o2 may refer to:\n\n ascaridole\n chrysanthemic "}
{"subject": "math:C7H7Br", "predicate": "proves", "object": "{{displaytitle:c7h7br}} \nthe molecular formula c7h7br (molar mass: 171.03 g/mol) may refer to: \n\n be"}
{"subject": "math:C21H22O4", "predicate": "proves", "object": "{{displaytitle:c21h22o4}}\nthe molecular formula c21h22o4 (molar mass: 338.39 g/mol, exact mass: 338."}
{"subject": "math:C6H13NO4", "predicate": "proves", "object": "{{displaytitle:c6h13no4}}\nthe molecular formula c6h13no4 (molar mass: 163.17 g/mol, exact mass: 163."}
{"subject": "math:C11H12O3", "predicate": "proves", "object": "{{displaytitle:c11h12o3}}\nthe molecular formula c11h12o3 (molar mass: 192.21 g/mol) may refer to:\n\n "}
{"subject": "math:C14H18O4", "predicate": "proves", "object": "{{displaytitle:c14h18o4}}\nthe molecular formula c14h18o4 (molar mass: 250.29 g/mol) may refer to :\n\n"}
{"subject": "math:C9H8O3", "predicate": "proves", "object": "{{displaytitle:c9h8o3}}\nthe molecular formula c9h8o3 (molar mass : 164.16 g/mol, exact mass : 164.04"}
{"subject": "math:C21H20O6", "predicate": "proves", "object": "{{displaytitle:c21h20o6}}\nthe molecular formula c21h20o6 may refer to:\n\n cannflavin b, a prenylflavo"}
{"subject": "math:C8H14", "predicate": "proves", "object": "{{displaytitle:c8h14}}\nthe molecular formula c8h14 (molar mass: 110.20 g/mol) may refer to:\n\n allylc"}
{"subject": "math:C10H22O", "predicate": "proves", "object": "{{displaytitle:c10h22o}}\nthe molecular formula c10h22o (molar mass: 158.28 g/mol, exact mass: 158.16"}
{"subject": "math:C6H4Cl2O", "predicate": "proves", "object": "{{displaytitle:c6h4cl2o}}\nthe molecular formula c6h4cl2o could refer to:\n\n 2,3-dichlorophenol\n 2,4-d"}
{"subject": "math:C2Cl2F4", "predicate": "proves", "object": "{{displaytitle:c2cl2f4}}\nthe molecular formula  (molar mass: 170.92 g/mol) may refer to:\n\n 1,1-dichl"}
{"subject": "math:C19H30O5", "predicate": "proves", "object": "{{displaytitle:c19h30o5}}\nthe molecular formula c19h30o5 (molar mass: 338.43 g/mol) may refer to:\n\n "}
{"subject": "math:C7H9NO2", "predicate": "proves", "object": "{{displaytitle:c7h9no2}}\nthe molecular formula c7h9no2 (molar mass: 139.15 g/mol, exact mass: 139.06"}
{"subject": "math:Kostant_partition_function", "predicate": "proves", "object": "in representation theory, a branch of mathematics, the kostant partition function, introduced by , o"}
{"subject": "math:Nitrosonium_tetrafluoroborate", "predicate": "proves", "object": "nitrosonium tetrafluoroborate, also called nitrosyl tetrafluoroborate, is a chemical compound with t"}
{"subject": "math:Differential_of_a_function", "predicate": "proves", "object": "in calculus, the differential represents the principal part of the change in a function  with respec"}
{"subject": "math:Logic_of_Computable_Functions", "predicate": "proves", "object": "logic of computable functions (lcf) is a deductive system for computable functions proposed by dana "}
{"subject": "math:George_C._Papanicolaou", "predicate": "proves", "object": "george c. papanicolaou (; born january 23, 1943) is a greek-american mathematician who specializes i"}
{"subject": "math:C7H11NO2", "predicate": "proves", "object": "{{displaytitle:c7h11no2}}\nthe molecular formula c7h11no2 (molar mass: 141.17 g/mol, exact mass: 141."}
{"subject": "math:C7H13N", "predicate": "proves", "object": "{{displaytitle:c7h13n}}\nthe molecular formula c7h13n (molar mass: 111.18 g/mol, exact mass: 111.1048"}
{"subject": "math:C7H14N2O2S", "predicate": "proves", "object": "{{displaytitle:c7h14n2o2s}}\nthe molecular formula c7h14n2o2s may refer to:\n\n aldicarb, a carbamate i"}
{"subject": "math:C7H14O2", "predicate": "proves", "object": "{{displaytitle:c7h14o2}}\nthe molecular formula c7h14o2 may refer to:\n\n amyl acetate\n sec-amyl acetat"}
{"subject": "math:C7H15NO2", "predicate": "proves", "object": "{{displaytitle:c7h15no2}}\nthe molecular formula c7h15no2 (molar mass: 145.20 g/mol, exact mass: 145."}
{"subject": "math:C7H16FO2P", "predicate": "proves", "object": "{{displaytitle:c7h16fo2p}}\nthe molecular formula c7h16fo2p (molar mass: 182.17 g/mol, exact mass: 18"}
{"subject": "math:C7H16O3", "predicate": "proves", "object": "{{displaytitle:c7h16o3}}\nthe molecular formula c7h16o3 (molar mass: 148.20 g/mol, exact mass: 148.10"}
{"subject": "math:List_of_Superleague_Formula_seasons", "predicate": "proves", "object": "this is a list of superleague formula seasons, that is a list of the superleague formula championshi"}
{"subject": "math:C8H4N2", "predicate": "proves", "object": "{{displaytitle:c8h4n2}}\nthe molecular formula c8h4n2 (molar mass: 128.13 g/mol, exact mass: 128.0374"}
{"subject": "math:C8H8O", "predicate": "proves", "object": "{{displaytitle:c8h8o}}\nthe molecular formula c8h8o (molar mass: 120.15 g/mol, exact mass: 120.057515"}
{"subject": "math:C8H10N2S", "predicate": "proves", "object": "{{displaytitle:c8h10n2s}}\nthe molecular formula c8h10n2s (molar mass: 166.24 g/mol, exact mass: 166."}
{"subject": "math:C8H10O", "predicate": "proves", "object": "{{displaytitle:c8h10o}}\nthe molecular formula c8h10o may refer to:\n\n ethylphenols\n 2-ethylphenol\n 3-"}
{"subject": "math:C8H12N2", "predicate": "proves", "object": "{{displaytitle:c8h12n2}}\nthe molecular formula c8h12n2 (molar mass: 136.19 g/mol, exact mass: 136.10"}
{"subject": "math:C8H12N2O2", "predicate": "proves", "object": "{{displaytitle:c8h12n2o2}}\nthe molecular formula c8h12n2o2 (molar mass: 168.193 g/mol) may refer to:"}
{"subject": "math:C8H12O2", "predicate": "proves", "object": "{{displaytitle:c8h12o2}}\nthe molecular formula c8h12o2 (molar mass: 140.18 g/mol) may refer to:\n\n di"}
{"subject": "math:C8H14O4", "predicate": "proves", "object": "{{displaytitle:c8h14o4}}\nthe molecular formula c8h14o4 may refer to:\n\n diethyl succinate\n dimethyl_a"}
{"subject": "math:C8H14O6", "predicate": "proves", "object": "{{displaytitle:c8h14o6}}\nthe molecular formula c8h14o6 may refer to:\n\n diethyl tartrate, organic com"}
{"subject": "math:C8H15NO2", "predicate": "proves", "object": "{{displaytitle:c8h15no2}}\nthe molecular formula c8h15no2 (molar mass: 157.21 g/mol, exact mass: 157."}
{"subject": "math:C8H16O", "predicate": "proves", "object": "{{displaytitle:c8h16o}}\nthe molecular formula c8h16o may refer to:\n\n 4-methylcyclohexanemethanol\n oc"}
{"subject": "math:C8H17NO", "predicate": "proves", "object": "the molecular formula c8h17no (molar mass: 143.23 g/mol, exact mass: 143.1310 u) may refer to:\n\n con"}
{"subject": "math:C8H19NO", "predicate": "proves", "object": "{{displaytitle:c8h19no}}\nthe molecular formula c8h19no (molar mass: 145.24 g/mol) may refer to:\n\n n,"}
{"subject": "math:C3H5ClO2", "predicate": "proves", "object": "{{displaytitle:c3h5clo2}}\nthe molecular formula c3h5clo2 (molar mass: 108.52 g/mol, exact mass: 107."}
{"subject": "math:C9H10O5", "predicate": "proves", "object": "{{displaytitle:c9h10o5}}\nthe molecular formula c9h10o5 (molar mass: 198.17 g/mol, exact mass 198.052"}
{"subject": "math:C9H18O2", "predicate": "proves", "object": "{{displaytitle:c9h18o2}}\nthe molecular formula c9h18o2 (molar mass: 158.24 g/mol) may refer to:\n\n et"}
{"subject": "math:C40H56O3", "predicate": "proves", "object": "{{displaytitle:c40h56o3}}\nthe molecular formula c40h56o3 (molar mass: 584.57 g/mol, exact mass: 584."}
{"subject": "math:C12H20O2", "predicate": "proves", "object": "{{displaytitle:c12h20o2}} \nthe molecular formula c12h20o2 (molar mass: 196.29 g/mol) may refer to:\n\n"}
{"subject": "math:C16H12O5", "predicate": "proves", "object": "{{displaytitle:c16h12o5}}\nthe molecular formula c16h12o5 (molar mass : 284.27 g/mol; exact mass : 28"}
{"subject": "math:2009_BAFL_season", "predicate": "proves", "object": "the 2009 bafl season is the british american football league. britbowl xxiii, the league's champions"}
{"subject": "math:C15H18N2O", "predicate": "proves", "object": "{{displaytitle:c15h18n2o}}\nthe molecular formula c15h18n2o (molar mass: 242.32 g/mol) may refer to:\n"}
{"subject": "math:C5H12O7P2", "predicate": "proves", "object": "{{displaytitle:c5h12o7p2}} \nthe molecular formula c5h12o7p2 (molar mass: 246.09 g/mol, exact mass: 2"}
{"subject": "math:C10H6O3", "predicate": "proves", "object": "{{displaytitle:c10h6o3}}\nthe molecular formula c10h6o3 (molar mass: 174.15 g/mol, exact mass: 174.03"}
{"subject": "math:C15H10O6", "predicate": "proves", "object": "{{displaytitle:c15h10o6}}\nthe molecular formula c15h10o6 (molar mass : 286.23 g/mol, exact mass : 28"}
{"subject": "math:C29H42O6", "predicate": "proves", "object": "{{displaytitle:c29h42o6}}\nthe molecular formula c29h42o6 may refer to:\n\n hydrocortisone cypionate, a"}
{"subject": "math:C30H50O", "predicate": "proves", "object": "{{displaytitle:c30h50o}}\nthe molecular formula c30h50o may refer to:\n\n amyrins, a class of triterpen"}
{"subject": "math:C24H40O3", "predicate": "proves", "object": "{{displaytitle:c24h40o3}}\nthe molecular formula c24h40o3 (molar mass: 376.57 g/mol, exact mass: 376."}
{"subject": "math:C12H22O2", "predicate": "proves", "object": "{{displaytitle:c12h22o2}}\nthe molecular formula c12h22o2 (molar mass: 198.30 g/mol) may refer to:\n\n "}
{"subject": "math:C16H30O", "predicate": "proves", "object": "{{displaytitle:c16h30o}}\nthe molecular formula c16h30o (molar mass: 238.41 g/mol, exact mass: 238.22"}
{"subject": "math:MV2", "predicate": "proves", "object": "mv2 may refer to:\n\n pindad mv2, a light military vehicle\n vis viva, an early description of kinetic "}
{"subject": "math:Efremovite", "predicate": "proves", "object": "efremovite is a rare ammonium sulfate mineral with the chemical formula: (nh4)2mg2(so4)3. it is a wh"}
{"subject": "math:Boussingaultite", "predicate": "proves", "object": "boussingaultite is a rare ammonium magnesium hydrated sulfate mineral of the chemical formula: (nh4)"}
{"subject": "math:C12H10O2", "predicate": "proves", "object": "{{displaytitle:c12h10o2}}\nthe molecular formula c12h10o2 (molar mass: 186.20 g/mol, exact mass: 186."}
{"subject": "math:Tienshanite", "predicate": "proves", "object": "tienshanite, named for the tian shan range in mongolia, is a rare borosilicate mineral, though rock-"}
{"subject": "math:C5H13NO", "predicate": "proves", "object": "{{displaytitle:c5h13no}}\nthe molecular formula c5h13no (molar mass: 103.16 g/mol, exact mass: 103.09"}
{"subject": "math:C9H18O", "predicate": "proves", "object": "{{displaytitle:c9h18o}}\nthe molecular formula c9h18o (molar mass: 142.24 g/mol) may refer to:\n\n nona"}
{"subject": "math:C24H27NO2", "predicate": "proves", "object": "{{displaytitle:c24h27no2}}\nthe molecular formula c24h27no2 (molar mass: 361.48 g/mol) may refer to:\n"}
{"subject": "math:C15H22O5", "predicate": "proves", "object": "{{displaytitle:c15h22o5}}\nthe molecular formula c15h22o5 (molar mass: 282.33 g/mol) may refer to: \n\n"}
{"subject": "math:C15H22O3", "predicate": "proves", "object": "{{displaytitle:c15h22o3}}\nthe molecular formula c15h22o3 (molar mass: 255.33 g/mol) may refer to: \n\n"}
{"subject": "math:C32H48O9", "predicate": "proves", "object": "{{displaytitle:c32h48o9}}\nthe molecular formula c32h48o9 (molar mass: 576.72 g/mol, exact mass: 576."}
{"subject": "math:Kampfite", "predicate": "proves", "object": "kampfite is a rare barium silicate\u2013carbonate\u2013halide mineral with the chemical formula . discovered i"}
{"subject": "math:C12H10O", "predicate": "proves", "object": "{{displaytitle:c12h10o}}\nthe molecular formula c12h10o (molar mass: 170.21 g/mol, exact mass: 170.07"}
{"subject": "math:C20H40O", "predicate": "proves", "object": "{{displaytitle:c20h40o}}\nthe molecular formula c20h40o (molar mass: 296.53 g/mol, exact mass: 296.30"}
{"subject": "math:C4H7NO", "predicate": "proves", "object": "{{displaytitle:c4h7no}}\nthe molecular formula c4h7no (molar mass: 85.10 g/mol) may refer to:\n\n aceto"}
{"subject": "math:C21H20O11", "predicate": "proves", "object": "{{displaytitle:c21h20o11}}\nthe molecular formula c21h20o11 (molar mass: 448.38 g/mol, exact mass: 44"}
{"subject": "math:C20H28O2", "predicate": "proves", "object": "{{displaytitle:c20h28o2}}\nthe molecular formula c20h28o2 may refer to:\n\n alitretinoin\n 5\u03b1-dihydronor"}
{"subject": "math:C40H56O", "predicate": "proves", "object": "{{displaytitle:c40h56o}}\nthe molecular formula c40h56o (molar mass: 552.85 g/mol, exact mass: 552.43"}
{"subject": "math:C18H28O2", "predicate": "proves", "object": "{{displaytitle:c18h28o2}}\nthe chemical formula c18h28o2 (molar mass : 276.41 g/mol exact mass : 276."}
{"subject": "math:C4H8S", "predicate": "proves", "object": "{{displaytitle:c4h8s}}\nthe molecular formula c4h8s (molar mass: 88.17 g/mol, exact mass: 88.0347 u) "}
{"subject": "math:C17H19ClN2S", "predicate": "proves", "object": "{{displaytitle:c17h19cln2s}}\nthe molecular formula c17h19cln2s (molar mass: 318.86 g/mol) may refer "}
{"subject": "math:C13H16F3N3O4", "predicate": "proves", "object": "{{displaytitle:c13h16f3n3o4}}\nthe molecular formula c13h16f3n3o4 (molar mass: 335.28 g/mol, exact ma"}
{"subject": "math:C21H34O4", "predicate": "proves", "object": "{{displaytitle:c21h34o4}}\nthe molecular formula c21h34o4 (molar mass: 350.49 g/mol, exact mass: 350."}
{"subject": "math:C40H56O4", "predicate": "proves", "object": "{{displaytitle:c40h56o4}}\nthe molecular formula c40h56o4 (molar mass: 600.85 g/mol, exact mass: 600."}
{"subject": "math:C27H43NO8", "predicate": "proves", "object": "{{displaytitle:c27h43no8}}\nthe molecular formula c27h43no8 (molar mass: 509.63 g/mol, exact mass: 50"}
{"subject": "math:C11H14O3", "predicate": "proves", "object": "{{displaytitle:c11h14o3}}\nthe molecular formula c11h14o3 (molar mass: 194.22 g/mol) may refer to:\n\n "}
{"subject": "math:C18H29NO3", "predicate": "proves", "object": "{{displaytitle:c18h29no3}}\nthe molecular formula c18h29no3 (molar mass: 307.43 g/mol, exact mass: 30"}
{"subject": "math:C19H29NO3", "predicate": "proves", "object": "{{displaytitle:c19h29no3}}\nthe molecular formula c19h29no3 (molar mass: 319.44 g/mol, exact mass: 31"}
{"subject": "math:Frank_Jelinski", "predicate": "proves", "object": "frank jelinski (born 23 may 1958 in bad m\u00fcnder am deister) is a german former racing driver.\n\ncareer"}
{"subject": "math:Baranyai's_theorem", "predicate": "proves", "object": "in combinatorial mathematics, baranyai's theorem (proved by and named after zsolt baranyai) deals wi"}
{"subject": "math:Panoz_DP09", "predicate": "proves", "object": "the panoz dp09 (commonly known as the superleague dp09) was the sole spec open-wheel race car used i"}
{"subject": "math:Levitzky's_theorem", "predicate": "proves", "object": "in mathematics, more specifically ring theory and the theory of nil ideals, levitzky's theorem, name"}
{"subject": "math:C4H6N4", "predicate": "proves", "object": "{{displaytitle:c4h6n4}}\nthe molecular formula c4h6n4 (molar mass: 110.12 g/mol, exact mass: 110.0592"}
{"subject": "math:Thetford_Grammar_School", "predicate": "proves", "object": "thetford grammar school is an independent co-educational school in thetford, norfolk, england. the s"}
{"subject": "math:C11H16N2", "predicate": "proves", "object": "{{displaytitle:c11h16n2}}\nthe molecular formula c11h16n2 (molar mass: 176.263 g/mol) may refer to:\n\n"}
{"subject": "math:C20H24O6", "predicate": "proves", "object": "the molecular formula c20h24o6 (molar mass : 360.40 g/mol, exact mass : 360.157289 u) may refer to: "}
{"subject": "math:Generalized_Lotka\u2013Volterra_equation", "predicate": "proves", "object": "the generalized lotka\u2013volterra equations are a set of equations which are more general than either t"}
{"subject": "math:C7H14N2", "predicate": "proves", "object": "{{displaytitle:c7h14n2}}\nthe molecular formula c7h14n2 (molar mass: 126.20 g/mol) may refer to:\n\n bi"}
{"subject": "math:C8H12", "predicate": "proves", "object": "{{displaytitle:c8h12}}\nthe molecular formula c8h12 may refer to:\n\n cyclooctadienes\n 1,3-cyclooctadie"}
{"subject": "math:C11H20O2", "predicate": "proves", "object": "{{displaytitle:c11h20o2}}\nthe molecular formula c11h20o2 may refer to:\n\n buciclic_acid\n ditetrahydro"}
{"subject": "math:2008_Formula_D_season", "predicate": "proves", "object": "the 2008 formula d season (officially titled castrol syntec power cup) was the fifth season for the "}
{"subject": "math:C21H20O10", "predicate": "proves", "object": "{{displaytitle:c21h20o10}}\nthe molecular formula c21h20o10 (molar mass: 432.38 g/mol, exact mass: 43"}
{"subject": "math:2009_Formula_D_season", "predicate": "proves", "object": "the 2009 formula d season (officially titled formula drift professional championship) was the sixth "}
{"subject": "math:C15H10O7", "predicate": "proves", "object": "{{displaytitle:c15h10o7}}\nthe molecular formula c15h10o7 (molar mass: 302.23 g/mol, exact mass :302."}
{"subject": "math:C16H13O7", "predicate": "proves", "object": "{{displaytitle:c16h13o7}}\n\nthe molecular formula c16h13o7 (or c16h13o7+, molar mass : 317.27 g/mol, "}
{"subject": "math:C17H14O7", "predicate": "proves", "object": "{{displaytitle:c17h14o7}}\nthe molecular formula c17h14o7 (molar mass : 330.29 g/mol, exact mass : 33"}
{"subject": "math:C15H10O4", "predicate": "proves", "object": "{{displaytitle:c15h10o4}}\nthe chemical formula c15h10o4 (molar mass: 254.24 g/mol, exact mass: 254.0"}
{"subject": "math:C20H20O7", "predicate": "proves", "object": "{{displaytitle:c20h20o7}}\nthe molecular formula c20h20o7 (molar mass: 372.36 g/mol, exact mass: 372."}
{"subject": "math:Akrochordite", "predicate": "proves", "object": "akrochordite is a rare hydrated arsenate mineral with the chemical formula  and represents a small g"}
{"subject": "math:Reinerite", "predicate": "proves", "object": "reinerite is a rare arsenite (arsenate(iii)) mineral with chemical formula zn3(aso3)2. it crystalliz"}
{"subject": "math:Biehlite", "predicate": "proves", "object": "biehlite is an exceptionally rare mineral, an antimony arsenic bearing molybdate with formula . it c"}
{"subject": "math:Duftite", "predicate": "proves", "object": "duftite is a relatively common arsenate mineral with the formula cupb(aso4)(oh), related to conichal"}
{"subject": "math:S._Ramanan", "predicate": "proves", "object": "sundararaman ramanan (born 20 july 1937) is an indian mathematician who works in the area of algebra"}
{"subject": "math:Equipollence_(geometry)", "predicate": "proves", "object": "in euclidean geometry, equipollence is a binary relation between directed line segments. a line segm"}
{"subject": "math:C11H12N2O3", "predicate": "proves", "object": "{{displaytitle:c11h12n2o3}}\nthe molecular formula c11h12n2o3 (molar mass: 220.23 g/mol, exact mass: "}
{"subject": "math:C23H30N2O5", "predicate": "proves", "object": "{{displaytitle:c23h30n2o5}}\nthe molecular formula c23h30n2o5 (molar mass: 414.50 g/mol) may refer to"}
{"subject": "math:C23H30N2O4", "predicate": "proves", "object": "{{displaytitle:c23h30n2o4}}\nthe molecular formula c23h30n2o4 (molar mass : 398.49 g/mol) may refer t"}
{"subject": "math:C21H24N2O4", "predicate": "proves", "object": "{{displaytitle:c21h24n2o4}}\nthe molecular formula c21h24n2o4 may refer to:\n\n carmoterol\n cyclarbamat"}
{"subject": "math:C13H21NO2S", "predicate": "proves", "object": "{{displaytitle:c13h21no2s}}\nthe molecular formula c13h21no2s (molar mass: 255.38 g/mol) may refer to"}
{"subject": "math:Ministry_of_Education_(Afghanistan)", "predicate": "proves", "object": "the afghan ministry of education ()() is responsible for policy formulation, the organization and su"}
{"subject": "math:Averaging_argument", "predicate": "proves", "object": "in computational complexity theory and cryptography, averaging argument is a standard argument for p"}
{"subject": "math:C7H9NO", "predicate": "proves", "object": "{{displaytitle:c7h9no}}\nthe molecular formula c7h9no may refer to:\n\n 4-amino-m-cresol \nanisidines\no-"}
{"subject": "math:C11H17NO2", "predicate": "proves", "object": "{{displaytitle:c11h17no2}}\nthe molecular formula c11h17no2 (molar mass : 195.258 g/mol) may refer to"}
{"subject": "math:C16H18O9", "predicate": "proves", "object": "{{displaytitle:c16h18o9}}\nthe molecular formula c16h18o9 may refer to:\n\n chlorogenic acid (3-o-caffe"}
{"subject": "math:C10H10O4", "predicate": "proves", "object": "{{displaytitle:c10h10o4}}\nthe molecular formula c10h10o4 (molar mass: 194.18 g/mol, exact mass : 194"}
{"subject": "math:C11H12O5", "predicate": "proves", "object": "{{displaytitle:c11h12o5}}\nthe molecular formula c11h12o5 (molar mass: 224.21 g/mol, exact mass: 224."}
{"subject": "math:Planephones", "predicate": "proves", "object": "planephones, or planofoni, represent an innovative sound art creation.\nthey are vibrating systems ba"}
{"subject": "math:C15H11O6", "predicate": "proves", "object": "{{displaytitle:c15h11o6}}\nthe molecular formula c15h11o6 (c15h11o6+, molar mass: 287.24 g/mol, exact"}
{"subject": "math:C18H21NO", "predicate": "proves", "object": "{{displaytitle:c18h21no}}\nthe molecular formula c18h21no (molar mass: 267.36 g/mol, exact mass: 267."}
{"subject": "math:C21H27NO", "predicate": "proves", "object": "{{displaytitle:c21h27no}}\nthe molecular formula c21h27no (molar mass: 309.44 g/mol) may refer to:\n\n "}
{"subject": "math:C15H11O5", "predicate": "proves", "object": "{{displaytitle:c15h11o5}}\nthe molecular formula c15h11o5 (or c15h11o5+, molar mass: 271.24 g/mol, ex"}
{"subject": "math:C17H15O7", "predicate": "proves", "object": "{{displaytitle:c17h15o7}}\n\nthe chemical formula c17h15o7 (or c17h15o7+, molar mass : 331.2968  g/mol"}
{"subject": "math:C16H21N", "predicate": "proves", "object": "{{displaytitle:c16h21n}}\nthe molecular formula c16h21n (molar mass: 227.34 g/mol, exact mass: 227.16"}
{"subject": "math:C18H25N", "predicate": "proves", "object": "{{displaytitle:c18h25n}}\nthe molecular formula c18h25n (molar mass: 255.40 g/mol, exact mass: 255.19"}
{"subject": "math:C19H25NO", "predicate": "proves", "object": "{{displaytitle:c19h25no}}\nthe molecular formula c19h25no (molar mass: 283.41 g/mol) may refer to:\n\n "}
{"subject": "math:C22H27NO2", "predicate": "proves", "object": "{{displaytitle:c22h27no2}}\nthe molecular formula c22h27no2 (molar mass:  373.91 g/mol, exact mass: 3"}
{"subject": "math:C20H27NO2", "predicate": "proves", "object": "{{displaytitle:c20h27no2}}\nthe molecular formula c20h27no2 (molar mass: 313.43 g/mol, exact mass: 31"}
{"subject": "math:C24H29NO", "predicate": "proves", "object": "{{displaytitle:c24h29no}}\nthe molecular formula c24h29no may refer to:\n\n \u03b44-abiraterone, a steroidog"}
{"subject": "math:C21H29NO2", "predicate": "proves", "object": "{{displaytitle:c21h29no2}}\nthe molecular formula c21h29no2 (molar mass: 327.46 g/mol, exact mass: 32"}
{"subject": "math:C22H29NO3", "predicate": "proves", "object": "{{displaytitle:c22h29no3}}\nthe molecular formula c22h29no3 may refer to:\n\n cyprodime, an opioid anta"}
{"subject": "math:C19H27NO4", "predicate": "proves", "object": "{{displaytitle:c19h27no4}}\nthe molecular formula c19h27no4 (molar mass: 333.42 g/mol, exact mass: 33"}
{"subject": "math:C21H27NO4", "predicate": "proves", "object": "{{displaytitle:c21h27no4}}\nthe molecular formula c21h27no4 (molar mass: 357.44 g/mol) may refer to:\n"}
{"subject": "math:C19H23NO4", "predicate": "proves", "object": "{{displaytitle:c19h23no4}}\nthe molecular formula c19h23no4 (molar mass : 329.39 g/mol, exact mass : "}
{"subject": "math:C21H27NO5", "predicate": "proves", "object": "{{displaytitle:c21h27no5}}\nthe molecular formula c21h27no5 (molar mass: 373.44 g/mol, exact mass: 37"}
{"subject": "math:Venus_Automobile", "predicate": "proves", "object": "the venus automobile is a one-piece fibreglass-bodied custom car produced in the early to mid-1950s "}
{"subject": "math:C12H18O", "predicate": "proves", "object": "{{displaytitle:c12h18o}}\nthe molecular formula c12h18o (molar mass: 178.27 g/mol, exact mass: 178.13"}
{"subject": "math:C13H18ClNO", "predicate": "proves", "object": "{{displaytitle:c13h18clno}}\nthe molecular formula c13h18clno (molar mass: 239.74 g/mol, exact mass: "}
{"subject": "math:Aktashite", "predicate": "proves", "object": "aktashite is a rare arsenic sulfosalt mineral with formula cu6hg3as4s12. it is a copper mercury-bear"}
{"subject": "math:Galkhaite", "predicate": "proves", "object": "galkhaite is a rare and chemically complex sulfosalt mineral from a group of natural thioarsenites. "}
{"subject": "math:Albrechtschraufite", "predicate": "proves", "object": "albrechtschraufite (ima symbol: asf) is a very rare complex hydrated calcium and magnesium-bearing u"}
{"subject": "math:Aldermanite", "predicate": "proves", "object": "aldermanite is a rare hydrated phosphate mineral with formula mg5al12(po4)8(oh)22\u00b732h2o. it is named"}
{"subject": "math:Aleksite", "predicate": "proves", "object": "aleksite (ima symbol: alk) is a rare lead bismuth tellurium sulfosalt mineral with formula pbbi2te2s"}
{"subject": "math:Allabogdanite", "predicate": "proves", "object": "allabogdanite is a very rare phosphide mineral with the chemical formula , found in 1994 in a meteor"}
{"subject": "math:C5H4", "predicate": "proves", "object": "{{displaytitle:c5h4}}\nthe molecular formula  (molar mass: 64.09 g/mol, exact mass: 64.0313 u) may re"}
{"subject": "math:C11H15NO", "predicate": "proves", "object": "{{displaytitle:c11h15no}}\nthe molecular formula c11h15no (molar mass :  177.24 g/mol, exact mass : 1"}
{"subject": "math:Juan_Pablo_Garc\u00eda_(racing_driver)", "predicate": "proves", "object": "juan pablo garc\u00eda (born october 4, 1987) is a mexican racing driver.\n\nracing career\n\nearly career\nga"}
{"subject": "math:Sulfarsenide_mineral", "predicate": "proves", "object": "the sulfarsenide minerals are a subgroup of the sulfide minerals which include arsenic replacing sul"}
{"subject": "math:1970_Tasman_Series", "predicate": "proves", "object": "the 1970 tasman series was a motor racing competition staged in new zealand and australia for cars c"}
{"subject": "math:C9H12FN", "predicate": "proves", "object": "{{displaytitle:c9h12fn}}\nthe molecular formula c9h12fn (molar mass: 153.197 g/mol) may refer to:\n\n 2"}
{"subject": "math:C21H23NO3", "predicate": "proves", "object": "{{displaytitle:c21h23no3}}\nthe molecular formula c21h23no3 may refer to:\n\n n-(p-amylcinnamoyl)anthra"}
{"subject": "math:C20H40O2", "predicate": "proves", "object": "{{displaytitle:c20h40o2}}\nthe molecular formula c20h40o2 (molar mass: 312.53 g/mol, exact mass: 312."}
{"subject": "math:C15H11O7", "predicate": "proves", "object": "{{displaytitle:c15h11o7}}\nthe molecular formula c15h11o7 (molar mass: 303.24 g/mol, exact mass: 303."}
{"subject": "math:C16H24N4O2", "predicate": "proves", "object": "{{displaytitle:c16h24n4o2}}\nthe molecular formula c16h24n4o2 (molar mass: 304.387 g/mol) may refer t"}
{"subject": "math:C9H6N2O3", "predicate": "proves", "object": "{{displaytitle:c9h6n2o3}}\nthe molecular formula c9h6n2o3 (molar mass: 190.16 g/mol, exact mass: 190."}
{"subject": "math:C27H45IO", "predicate": "proves", "object": "{{displaytitle:c27h45io}}\nthe molecular formula c27h45io (molar mass: 512.55 g/mol, exact mass: 512."}
{"subject": "math:C14H16N2", "predicate": "proves", "object": "{{displaytitle:c14h16n2}}\nthe molecular formula c14h16n2 (molar mass: 212.29 g/mol) may refer to:\n\n "}
{"subject": "math:C20H26N4O", "predicate": "proves", "object": "{{displaytitle:c20h26n4o}}\nthe molecular formula c20h26n4o (molar mass: 338.45 g/mol, exact mass: 33"}
{"subject": "math:C19H23N3O2", "predicate": "proves", "object": "{{displaytitle:c19h23n3o2}}\nthe molecular formula c19h23n3o2 (molar mass : 325.41 g/mol) may refer t"}
{"subject": "math:C20H25N3O2", "predicate": "proves", "object": "the molecular formula c20h25n3o2 (molar mass: 339.43 g/mol, exact mass: 339.1947 u) may refer to:\n\n "}
{"subject": "math:C32H43N5O5", "predicate": "proves", "object": "the molecular formula c32h43n5o5 (molar mass: 577.71 g/mol) may refer to:\n\n dihydroergocryptine\n epi"}
{"subject": "math:C32H41N5O5", "predicate": "proves", "object": "{{displaytitle:c32h41n5o5}}\nthe molecular formula c32h41n5o5 (molar mass: 575.710 g/mol) may refer t"}
{"subject": "math:C18H24O3", "predicate": "proves", "object": "{{displaytitle:c18h24o3}}\nthe molecular formula c18h24o3 may refer to:\n\n 10\u03b2,17\u03b2-dihydroxyestra-1,4-"}
{"subject": "math:C9H13NO", "predicate": "proves", "object": "{{displaytitle:c9h13no}}\nthe molecular formula c9h13no (molar mass : 151.20 g/mol, exact mass : 151."}
{"subject": "math:C19H26O2", "predicate": "proves", "object": "{{displaytitle:c19h26o2}}\nthe molecular formula c19h26o2 (molar mass: 286.40 g/mol, exact mass: 286."}
{"subject": "math:Noncommutative_ring", "predicate": "proves", "object": "in mathematics, a noncommutative ring is a ring whose multiplication is not commutative; that is, th"}
{"subject": "math:C21H18O12", "predicate": "proves", "object": "{{displaytitle:c21h18o12}}\nthe molecular formula c21h18o12 (molar mass: 462.36 g/mol, exact mass: 46"}
{"subject": "math:C11H6O3", "predicate": "proves", "object": "{{displaytitle:c11h6o3}}\nthe molecular formula c11h6o3 (molar mass: 186.16 g/mol, exact mass: 186.03"}
{"subject": "math:C15H20O4", "predicate": "proves", "object": "{{displaytitle:c15h20o4}} \nthe molecular formula c15h20o4 may refer to:\n\n abscisic acid, a plant hor"}
{"subject": "math:C4H4N2OS", "predicate": "proves", "object": "{{displaytitle:c4h4n2os}}\nthe molecular formula c4h4n2os (molar mass: 128.15 g/mol, exact mass: 128."}
{"subject": "math:Stadium_Mustard", "predicate": "proves", "object": "stadium mustard is the trademarked name of a brown mustard, manufactured in illinois, popular in nor"}
{"subject": "math:C22H24N2O10", "predicate": "proves", "object": "{{displaytitle:c22h24n2o10}}\nthe molecular formula c22h24n2o10 (molar mass: 476.438 g/mol) may refer"}
{"subject": "math:Syntin", "predicate": "proves", "object": "syntin is a hydrocarbon with the molecular formula c10h16 used as a rocket fuel.  it is a mixture of"}
{"subject": "math:C15H10O3", "predicate": "proves", "object": "{{displaytitle:c15h10o3}}\nthe molecular formula c15h10o3 (molar mass: 238.24 g/mol, exact mass: 238."}
{"subject": "math:Dictionary_of_natural_phenols_and_polyphenols_mole", "predicate": "proves", "object": "natural polyphenols molecular formulas represent a class of natural aromatic organic compounds in wh"}
{"subject": "math:Hendecagonal_prism", "predicate": "proves", "object": "in geometry, the hendecagonal prism is one in an infinite set of convex prisms formed by square side"}
{"subject": "math:Great_triambic_icosahedron", "predicate": "proves", "object": "in geometry, the great triambic icosahedron and medial triambic icosahedron (or midly triambic icosa"}
{"subject": "math:Small_rhombihexacron", "predicate": "proves", "object": "in geometry, the small rhombihexacron (or small dipteral disdodecahedron) is the dual of the small r"}
{"subject": "math:Small_hexacronic_icositetrahedron", "predicate": "proves", "object": "in geometry, the small hexacronic icositetrahedron is the dual of the small cubicuboctahedron. it is"}
{"subject": "math:Small_dodecahemidodecacron", "predicate": "proves", "object": "in geometry, the small dodecahemidodecacron is the dual of the small dodecahemidodecahedron, and is "}
{"subject": "math:Small_icosihemidodecacron", "predicate": "proves", "object": "in geometry, the small icosihemidodecacron is the dual of the small icosihemidodecahedron, and is on"}
{"subject": "math:Small_dodecicosacron", "predicate": "proves", "object": "in geometry, the small dodecicosacron (or small dipteral trisicosahedron) is the dual of the small d"}
{"subject": "math:Icositetragon", "predicate": "proves", "object": "in geometry, an icositetragon (or icosikaitetragon) or 24-gon is a twenty-four-sided polygon. the su"}
{"subject": "math:Mass\u2013luminosity_relation", "predicate": "proves", "object": "in astrophysics, the mass\u2013luminosity relation is an equation giving the relationship between a star'"}
{"subject": "math:Small_rhombidodecacron", "predicate": "proves", "object": "in geometry, the small rhombidodecacron is a nonconvex isohedral polyhedron. it is the dual of the s"}
{"subject": "math:Rhombicosacron", "predicate": "proves", "object": "in geometry, the rhombicosacron (or midly dipteral ditriacontahedron) is a nonconvex isohedral polyh"}
{"subject": "math:Great_icosacronic_hexecontahedron", "predicate": "proves", "object": "in geometry, the great icosacronic hexecontahedron (or great sagittal trisicosahedron) is the dual o"}
{"subject": "math:Polyprenol", "predicate": "proves", "object": "polyprenols are natural long-chain isoprenoid alcohols of the general formula h-(c5h8)n-oh where n i"}
{"subject": "math:Great_triakis_octahedron", "predicate": "proves", "object": "in geometry, the great triakis octahedron is the dual of the stellated truncated hexahedron (u19). i"}
{"subject": "math:Great_rhombihexacron", "predicate": "proves", "object": "in geometry, the great rhombihexacron (or great dipteral disdodecahedron) is a nonconvex isohedral p"}
{"subject": "math:Ptolemaic_Baris", "predicate": "proves", "object": "the ptolemaic baris (also ptolemaic acra) was a citadel maintained by ptolemaic egypt during its rul"}
{"subject": "math:Hemipolyhedron", "predicate": "proves", "object": "in geometry, a hemipolyhedron is a uniform star polyhedron some of whose faces pass through its cent"}
{"subject": "math:C15H10O8", "predicate": "proves", "object": "{{displaytitle:c15h10o8}}\nthe molecular formula c15h10o8 (molar mass : 318.23 g/mol, exact mass 318."}
{"subject": "math:Supply_chain_surplus", "predicate": "proves", "object": "supply chain surplus is the value addition by supply chain function of an organisation. it is calcul"}
{"subject": "math:Small_dodecahemicosacron", "predicate": "proves", "object": "in geometry, the small dodecahemicosacron is the dual of the small dodecahemicosahedron, and is one "}
{"subject": "math:Great_dodecahemidodecacron", "predicate": "proves", "object": "in geometry, the great dodecahemidodecacron is the dual of the great dodecahemidodecahedron, and is "}
{"subject": "math:Great_icosihemidodecacron", "predicate": "proves", "object": "in geometry, the great icosihemidodecacron is the dual of the great icosihemidodecahedron, and is on"}
{"subject": "math:C14H12O4", "predicate": "proves", "object": "{{displaytitle:c14h12o4}}\nthe molecular formula c14h12o4 (molar mass: 244.25 g/mol, exact mass: 244."}
{"subject": "math:C15H12O4", "predicate": "proves", "object": "{{displaytitle:c15h12o4}}\n\nthe chemical formula c15h12o4 (molar mass : 256.25 g/mol, exact mass 256."}
{"subject": "math:Heinrich_Guggenheimer", "predicate": "proves", "object": "heinrich walter guggenheimer (july 21, 1924 \u2013 march 4, 2021) was a german-born swiss-american mathem"}
{"subject": "math:Compound_of_three_tetrahedra", "predicate": "proves", "object": "in geometry, a compound of three tetrahedra can be constructed by three tetrahedra rotated by 60 deg"}
{"subject": "math:Compound_of_four_tetrahedra", "predicate": "proves", "object": "in geometry, a compound of four tetrahedra can be constructed by four tetrahedra in a number of diff"}
{"subject": "math:1971_Tasman_Series", "predicate": "proves", "object": "the 1971 tasman series was a motor racing competition staged in new zealand and australia for cars c"}
{"subject": "math:C16H12O6", "predicate": "proves", "object": "{{displaytitle:c16h12o6}}\nthe molecular formula c16h12o6 (molar mass : 300.26 g/mol, exact mass : 30"}
{"subject": "math:C16H12O7", "predicate": "proves", "object": "{{displaytitle:c16h12o7}}\nthe molecular formula c16h12o7 (molar mass: 316.26 g/mol, exact mass: 316."}
{"subject": "math:C21H22O9", "predicate": "proves", "object": "{{displaytitle:c21h22o9}}\nthe molecular formula c21h22o9 (molar mass: 418.39 g/mol, exact mass: 418."}
{"subject": "math:C21H20O12", "predicate": "proves", "object": "{{displaytitle:c21h20o12}}\nthe molecular formula c21h20o12 (molar mass: 464.37 g/mol, exact mass: 46"}
{"subject": "math:C27H30O14", "predicate": "proves", "object": "{{displaytitle:c27h30o14}}\nthe molecular formula c27h30o14 (molar mass: 578.52 g/mol, exact mass: 57"}
{"subject": "math:Bloch_function", "predicate": "proves", "object": "in mathematics, bloch function may refer to:\n\nnamed after swiss physicist felix bloch\n a periodic fu"}
{"subject": "math:C12H17NO", "predicate": "proves", "object": "{{displaytitle:c12h17no}}\nthe molecular formula c12h17no may refer to:\n\n deet\n 3,4-dimethylmethcathi"}
{"subject": "math:C16H12O4", "predicate": "proves", "object": "{{displaytitle:c16h12o4}}\nthe molecular formula c16h12o4 (molar mass: 268.26 g/mol, exact mass: 268."}
{"subject": "math:Lattice_density_functional_theory", "predicate": "proves", "object": "lattice density functional theory (ldft) is a statistical theory used in physics and thermodynamics "}
{"subject": "math:1972_Tasman_Series", "predicate": "proves", "object": "the 1972 tasman series was a motor racing competition staged in new zealand and australia for racing"}
{"subject": "math:Plamen_Kralev", "predicate": "proves", "object": "plamen simeonov kralev (, born 22 february 1973 in sofia) is a bulgarian racing driver and businessm"}
{"subject": "math:Goursat_tetrahedron", "predicate": "proves", "object": "in geometry, a goursat tetrahedron is a tetrahedral fundamental domain of a wythoff construction. ea"}
{"subject": "math:C21H20O9", "predicate": "proves", "object": "{{displaytitle:c21h20o9}}\nthe molecular formula c21h20o9 (molar mass: 416.38 g/mol, exact mass: 416."}
{"subject": "math:1973_Tasman_Series", "predicate": "proves", "object": "the 1973 tasman series was a motor racing competition staged in new zealand and australia  for cars "}
{"subject": "math:Carleson's_theorem", "predicate": "proves", "object": "carleson's theorem is a fundamental result in mathematical analysis establishing the pointwise (lebe"}
{"subject": "math:Endurance_running_hypothesis", "predicate": "proves", "object": "the endurance running hypothesis is a series of conjectures which presume humans evolved anatomical "}
{"subject": "math:C27H32O14", "predicate": "proves", "object": "{{displaytitle:c27h32o14}}\nthe molecular formula c27h32o14 (molar mass: 580.54 g/mol, exact mass: 58"}
{"subject": "math:C15H12O6", "predicate": "proves", "object": "{{displaytitle:c15h12o6}}\nthe chemical formula c15h12o6 (molar mass : 288.25 g/mol, exact mass : 288"}
{"subject": "math:C15H12O5", "predicate": "proves", "object": "{{displaytitle:c15h12o5}}\nthe chemical formula c15h12o5 (molar mass : 272.25 g/mol, exact mass 272.0"}
{"subject": "math:C28H34O15", "predicate": "proves", "object": "{{displaytitle:c28h34o15}}\nthe molecular formula c28h34o15 (molar mass: 610.56 g/mol, exact mass: 61"}
{"subject": "math:Computational_complexity_of_matrix_multiplication", "predicate": "proves", "object": "in theoretical computer science, the computational complexity of matrix multiplication dictates how "}
{"subject": "math:C18H17O7", "predicate": "proves", "object": "{{displaytitle:c18h17o7}}\n\nthe molecular formula c18h17o7 (or c18h17o7+, molar mass : 345.32 g/mol, "}
{"subject": "math:Popoviciu's_inequality", "predicate": "proves", "object": "in convex analysis, popoviciu's inequality is an inequality about convex functions. it is similar to"}
{"subject": "math:Caesium_sulfate", "predicate": "proves", "object": "caesium sulfate or cesium sulfate is the inorganic compound and salt with the formula cs2so4. it is "}
{"subject": "math:C27H30O6", "predicate": "proves", "object": "{{displaytitle:c27h30o6}}\nthe molecular formula c27h30o6 (molar mass: 450.52 g/mol, exact mass: 450."}
{"subject": "math:C15H14O7", "predicate": "proves", "object": "{{displaytitle:c15h14o7}}\nthe molecular formula c15h14o7 may refer to:\n\n epigallocatechin\n fusarubin"}
{"subject": "math:C15H14O3", "predicate": "proves", "object": "{{displaytitle:c15h14o3}}\nthe molecular formula c15h14o3 (molar mass : 242.26 g/mol, exact mass: 242"}
{"subject": "math:C20H21NO3", "predicate": "proves", "object": "{{displaytitle:c20h21no3}}\nthe molecular formula c20h21no3 (molar mass: 323.38 g/mol, exact mass: 32"}
{"subject": "math:C19H12O2", "predicate": "proves", "object": "the molecular formula c19h12o2 (molar mass: 272.30 g/mol) may refer to:\n\n \u03b1-naphthoflavone (7,8-benz"}
{"subject": "math:Horton_graph", "predicate": "proves", "object": "in the mathematical field of graph theory, the horton graph or horton 96-graph is a 3-regular graph "}
{"subject": "math:2009_Monza_Superleague_Formula_round", "predicate": "proves", "object": "the 2009 monza superleague formula round was the fifth round of the 2009 superleague formula season,"}
{"subject": "math:2009_Jarama_Superleague_Formula_round", "predicate": "proves", "object": "the 2009 jarama superleague formula round was the sixth round and last of the 2009 superleague formu"}
{"subject": "math:C33H38N4O6", "predicate": "proves", "object": "{{displaytitle:c33h38n4o6}}\nthe molecular formula c33h38n4o6 (molar mass: 586.67 g/mol) may refer to"}
{"subject": "math:C33H42N4O6", "predicate": "proves", "object": "{{displaytitle:c33h42n4o6}}\nthe molecular formula c33h42n4o6 (molar mass: 590.71 g/mol, exact mass: "}
{"subject": "math:C33H36N4O6", "predicate": "proves", "object": "{{displaytitle:c33h36n4o6}}\nthe molecular formula c33h36n4o6 (molar mass: 584.662 g/mol, exact mass:"}
{"subject": "math:C33H34N4O6", "predicate": "proves", "object": "{{displaytitle:c33h34n4o6}}\nthe molecular formula c33h34n4o6 (molar mass : 582.64 g/mol) may refer t"}
{"subject": "math:C40H44N4O16", "predicate": "proves", "object": "{{displaytitle:c40h44n4o16}}\nthe molecular formula c40h44n4o16 (molar mass: 836.79 g/mol, exact mass"}
{"subject": "math:C36H44N4O8", "predicate": "proves", "object": "{{displaytitle:c36h44n4o8}}\nthe molecular formula c36h44n4o8 (molar mass: 660.75 g/mol, exact mass: "}
{"subject": "math:Culpable_(song)", "predicate": "proves", "object": "\"culpable\" (english: \"guilty\") is a song by american singer romeo santos and dominican rapper l\u00e1piz "}
{"subject": "math:1975_Tasman_Series", "predicate": "proves", "object": "the 1975 tasman series, (officially the tasman championship for drivers), was a motor racing competi"}
{"subject": "math:Gmsh", "predicate": "proves", "object": "gmsh is a finite-element mesh generator developed by christophe geuzaine and jean-fran\u00e7ois remacle. "}
{"subject": "math:Daisuke_Nakajima", "predicate": "proves", "object": "is a retired japanese racing driver; the son of satoru nakajima and the younger brother of kazuki na"}
{"subject": "math:Reeb_graph", "predicate": "proves", "object": "a reeb graph (named after georges reeb by ren\u00e9 thom) is a mathematical object reflecting the evoluti"}
{"subject": "math:C7H14O7", "predicate": "proves", "object": "{{displaytitle:c7h14o7}}\nthe molecular formula c7h14o7 (molar mass: 210.18 g/mol, exact mass: 210.07"}
{"subject": "math:C6H13NO3", "predicate": "proves", "object": "{{displaytitle:c6h13no3}}\nthe molecular formula c6h13no3 (molar mass: 147.17 g/mol, exact mass: 147."}
{"subject": "math:C8H15NO6", "predicate": "proves", "object": "{{displaytitle:c8h15no6}}\nthe molecular formula c8h15no6 (molar mass: 221.21 g/mol, exact mass: 221."}
{"subject": "math:C6H14N2O3", "predicate": "proves", "object": "{{displaytitle:c6h14n2o3}}\nthe molecular formula c6h14n2o3 (molar mass: 162.19 g/mol) may refer to:\n"}
{"subject": "math:C8H17NO3", "predicate": "proves", "object": "{{displaytitle:c8h17no3}}\nthe molecular formula c8h17no3 may refer to:\n\n desosamine\n statine\n\nmolecu"}
{"subject": "math:Sodium_selenide", "predicate": "proves", "object": "sodium selenide is an inorganic compound of sodium and selenium with the chemical formula na2se.\n\npr"}
{"subject": "math:C15H14O6", "predicate": "proves", "object": "{{displaytitle:c15h14o6}}\nthe molecular formula c15h14o6 (molar mass: 290.26 g/mol, exact mass: 290."}
{"subject": "math:C22H18O11", "predicate": "proves", "object": "{{displaytitle:c22h18o11}}\nthe molecular formula c22h18o11 (molar mass: 458.37 g/mol, exact mass: 45"}
{"subject": "math:C22H26O5", "predicate": "proves", "object": "{{displaytitle:c22h26o5}}\nthe molecular formula c22h26o5 may refer to:\n\n calanolide a, an experiment"}
{"subject": "math:C15H12O7", "predicate": "proves", "object": "{{displaytitle:c15h12o7}}\nthe molecular formula c15h12o7 (molar mass: 304.25 g/mol, exact mass: 304."}
{"subject": "math:C25H22O10", "predicate": "proves", "object": "{{displaytitle:c25h22o10}}\nthe molecular formula c25h22o10 may refer to:\n\n silibinin, major active c"}
{"subject": "math:List_of_Fafner_in_the_Azure_episodes", "predicate": "proves", "object": "the anime series fafner in the azure has 26 episodes. the opening theme is \"shangri-la\", the insert "}
{"subject": "math:C27H42O3", "predicate": "proves", "object": "{{displaytitle:c27h42o3}}\nthe molecular formula c27h42o3 (molar mass: 414.62 g/mol, exact mass: 414."}
{"subject": "math:Aizik_Volpert", "predicate": "proves", "object": "aizik isaakovich vol'pert () (5 june 1923 \u2013 january 2006) (the family name is also transliterated as"}
{"subject": "math:Trinitromethane", "predicate": "proves", "object": "trinitromethane, also referred to  as nitroform, is a nitroalkane and oxidizer with chemical formula"}
{"subject": "math:Dual_identity", "predicate": "proves", "object": "dual identity can refer to:\n\n a secret identity, such as clark kent and superman\n in mathematics, th"}
{"subject": "math:Eutactic_star", "predicate": "proves", "object": "in euclidean geometry, a eutactic star is a geometrical figure in a euclidean space. a star is a fig"}
{"subject": "math:C21H30O4", "predicate": "proves", "object": "{{displaytitle:c21h30o4}}\nthe molecular formula c21h30o4 (molar mass: 346.46 g/mol, exact mass: 346."}
{"subject": "math:C23H33NO2", "predicate": "proves", "object": "{{displaytitle:c23h33no2}}\nthe molecular formula c23h33no2 may refer to:\n\n azastene, a steroidogenes"}
{"subject": "math:C29H36O4", "predicate": "proves", "object": "{{displaytitle:c29h36o4}}\nthe molecular formula c29h36o4 (molar mass: 448.59 g/mol, exact mass: 448."}
{"subject": "math:C21H31NO2", "predicate": "proves", "object": "{{displaytitle:c21h31no2}}\nthe molecular formula c21h31no2 may refer to:\n\n androisoxazole\n bornaprin"}
{"subject": "math:C19H32O2", "predicate": "proves", "object": "{{displaytitle:c19h32o2}}\nthe molecular formula c19h32o2 may refer to:\n\n androstanediols\n 3\u03b1-androst"}
{"subject": "math:C19H22O2", "predicate": "proves", "object": "{{displaytitle:c19h22o2}}\nthe molecular formula c19h22o2 (molar mass: 282.38 g/mol) may refer to:\n\n "}
{"subject": "math:C19H30O2", "predicate": "proves", "object": "{{displaytitle:c19h30o2}}\nthe molecular formula c19h30o2 (molar mass: 290.44 g/mol, exact mass 290.2"}
{"subject": "math:C19H30O", "predicate": "proves", "object": "{{displaytitle:c19h30o}}\nthe molecular formula c19h30o (molar mass: 274.44 g/mol, exact mass: 274.22"}
{"subject": "math:C19H28O", "predicate": "proves", "object": "{{displaytitle:c19h28o}}\nthe molecular formula c19h28o may refer to:\n\n androstenone, or 5\u03b1-androst-1"}
{"subject": "math:C24H32O6", "predicate": "proves", "object": "{{displaytitle:c24h32o6}}\nthe molecular formula c24h32o6 (molar mass: 416.50 g/mol, exact mass: 416."}
{"subject": "math:C20H26O2", "predicate": "proves", "object": "{{displaytitle:c20h26o2}}\nthe molecular formula c20h26o2 (molar mass: 298.41 g/mol, exact mass: 298."}
{"subject": "math:Alluaivite", "predicate": "proves", "object": "alluaivite is a rare mineral of the eudialyte group, with complex formula written as . it is unique "}
{"subject": "math:C19H24O2", "predicate": "proves", "object": "{{displaytitle:c19h24o2}}\nthe molecular formula c19h24o2 may refer to:\n\n almestrone, a synthetic, st"}
{"subject": "math:C20H32O", "predicate": "proves", "object": "{{displaytitle:c20h32o}}\nthe molecular formula c20h32o (molar mass: 288.46 g/mol, exact mass: 288.24"}
{"subject": "math:C22H28O3", "predicate": "proves", "object": "{{displaytitle:c22h28o3}}\nthe molecular formula c22h28o3 (molar mass: 340.45 g/mol, exact mass: 340."}
{"subject": "math:C23H36O2", "predicate": "proves", "object": "{{displaytitle:c23h36o2}}\nthe molecular formula c23h36o2 (molar mass: 344.53 g/mol, exact mass: 344."}
{"subject": "math:C19H28O5S", "predicate": "proves", "object": "{{displaytitle:c19h28o5s}}\nthe molecular formula c19h28o5s (molar mass: 368.488 g/mol) may refer to:"}
{"subject": "math:C23H32O2", "predicate": "proves", "object": "{{displaytitle:c23h32o2}}\nthe molecular formula c23h32o2 (molar mass: 340.49 g/mol, exact mass: 340."}
{"subject": "math:C18H18O2", "predicate": "proves", "object": "{{displaytitle:c18h18o2}}\nthe molecular formula c18h18o2 (molar mass 266.33 g/mol, exact mass 266.13"}
{"subject": "math:C18H24O4", "predicate": "proves", "object": "{{displaytitle:c18h24o4}}\nthe molecular formula c18h24o4 (molar mass: 304.38 g/mol, exact mass: 304."}
{"subject": "math:C18H22O5S", "predicate": "proves", "object": "{{displaytitle: c18h22o5s}}\nthe molecular formula c18h22o5s (molar mass: 350.43 g/mol, exact mass: 3"}
{"subject": "math:C29H52O", "predicate": "proves", "object": "{{displaytitle:c29h52o}}\nthe molecular formula c29h52o (molar mass: 416.72 g/mol, exact mass: 416.40"}
{"subject": "math:C21H27FO5", "predicate": "proves", "object": "{{displaytitle:c21h27fo5}}\nthe molecular formula c21h27fo5 (molar mass: 378.43 g/mol) may refer to:\n"}
{"subject": "math:C21H28O4", "predicate": "proves", "object": "{{displaytitle:c21h28o4}}\nthe molecular formula c21h28o4 may refer to:\n\n 11-dehydrocorticosterone\n 1"}
{"subject": "math:C22H36O2", "predicate": "proves", "object": "{{displaytitle:c22h36o2}} \nthe molecular formula c22h36o2 (molar mass: 332.52 g/mol, exact mass: 332"}
{"subject": "math:C25H36O6", "predicate": "proves", "object": "{{displaytitle:c25h36o6}}\nthe molecular formula c25h36o6 (molar mass: 432.54 g/mol, exact mass: 432."}
{"subject": "math:C27H46O2", "predicate": "proves", "object": "{{displaytitle:c27h46o2}}\nthe molecular formula c27h46o2 may refer to:\n\n hydroxycholesterols\n 7\u03b1-hyd"}
{"subject": "math:C21H30O3", "predicate": "proves", "object": "{{displaytitle:c21h30o3}}\nthe molecular formula c21h30o3 (molar mass: 330.46 g/mol, exact mass: 330."}
{"subject": "math:C21H30N2O", "predicate": "proves", "object": "{{displaytitle:c21h30n2o}}\nthe molecular formula c21h30n2o (molar mass: 326.484 g/mol, exact mass: 3"}
{"subject": "math:C24H32O5", "predicate": "proves", "object": "{{displaytitle:c24h32o5}}\nthe molecular formula c24h32o5 (molar mass: 400.51 g/mol, exact mass: 400."}
{"subject": "math:C24H34O4", "predicate": "proves", "object": "{{displaytitle:c24h34o4}}\nthe molecular formula c24h34o4 may refer to:\n\n algestone acetonide\n bufali"}
{"subject": "math:C23H30O3", "predicate": "proves", "object": "{{displaytitle:c23h30o3}}\nthe molecular formula c23h30o3 (molar mass: 354.48 g/mol, exact mass: 354."}
{"subject": "math:C25H32O4", "predicate": "proves", "object": "{{displaytitle:c25h32o4}}\nthe molecular formula c25h32o4 (molar mass: 396.52 g/mol, exact mass: 396."}
{"subject": "math:C26H40O3", "predicate": "proves", "object": "{{displaytitle:c26h40o3}}\nthe molecular formula c26h40o3 may refer to:\n\n mesabolone, or 1-testostero"}
{"subject": "math:C19H26O3", "predicate": "proves", "object": "{{displaytitle:c19h26o3}}\nthe molecular formula c19h26o3 may refer to:\n\n bioallethrin\n epimestrol\n f"}
{"subject": "math:Eudialyte_group", "predicate": "proves", "object": "eudialyte group is a group of complex trigonal zircono- and, more rarely, titanosilicate minerals wi"}
{"subject": "math:C20H30O3", "predicate": "proves", "object": "{{displaytitle:c20h30o3}} \nthe molecular formula c20h30o3 may refer to:\n\n dihydrotestosterone format"}
{"subject": "math:C21H36O2", "predicate": "proves", "object": "{{displaytitle:c21h36o2}}\nthe molecular formula c21h36o2 may refer to:\n\n allopregnanediol, or 5\u03b1-pre"}
{"subject": "math:C22H31NO2", "predicate": "proves", "object": "{{displaytitle:c22h31no2}}\nthe molecular formula c22h31no2 (molar mass: 341.495 g/mol, exact mass: 3"}
{"subject": "math:C22H30O2", "predicate": "proves", "object": "{{displaytitle:c22h30o2}}\nthe molecular formula c22h30o2 (molar mass: 326.48 g/mol, exact mass: 326."}
{"subject": "math:C23H36O3", "predicate": "proves", "object": "{{displaytitle:c23h36o3}}\nthe molecular formula c23h36o3 may refer to:\n\n dihydrotestosterone butyrat"}
{"subject": "math:C21H31NO3", "predicate": "proves", "object": "{{displaytitle:c21h31no3}}\nthe molecular formula c21h31no3 (molar mass: 345.47 g/mol, exact mass: 34"}
{"subject": "math:C29H48O", "predicate": "proves", "object": "{{displaytitle:c29h48o}}\nthe molecular formula c29h48o (molar mass: 412.69 g/mol) may refer to:\n\n av"}
{"subject": "math:C19H24O3", "predicate": "proves", "object": "{{displaytitle:c19h24o3}}\nthe molecular formula c19h24o3 may refer to:\n\n adrenosterone\n 4-androstene"}
{"subject": "math:C21H34O5", "predicate": "proves", "object": "{{displaytitle:c21h34o5}}\nthe molecular formula c21h34o5 may refer to:\n\n betaenone a, a secondary me"}
{"subject": "math:C21H32O5", "predicate": "proves", "object": "{{displaytitle:c21h32o5}}\nthe molecular formula c21h32o5 may refer to:\n\n 5\u03b1-dihydrocortisol, a metab"}
{"subject": "math:C24H31FO6", "predicate": "proves", "object": "the molecular formula c24h31fo6 (molar mass: 434.50 g/mol) may refer to:\n\n betamethasone acetate\n de"}
{"subject": "math:C20H27NO3", "predicate": "proves", "object": "{{displaytitle:c20h27no3}}\nthe molecular formula c20h27no3 (molar mass: 329.433 g/mol) may refer to:"}
{"subject": "math:C24H40O4", "predicate": "proves", "object": "{{displaytitle:c24h40o4}}\n\nthe molecular formula c24h40o4 (molar mass: 392.57 g/mol, exact mass: 392"}
{"subject": "math:C26H43NO5", "predicate": "proves", "object": "{{displaytitle:c26h43no5}}\nthe molecular formula c26h43no5 (molar mass: 449.62 g/mol, exact mass: 44"}
{"subject": "math:C26H45NO6S", "predicate": "proves", "object": "{{displaytitle:c26h45no6s}}\nthe molecular formula c26h45no6s (molar mass: 499.70 g/mol, exact mass: "}
{"subject": "math:C30H42O8", "predicate": "proves", "object": "{{displaytitle:c30h42o8}}\nthe molecular formula c30h42o8 may refer to:\n\n angustifodilactone a, natur"}
{"subject": "math:C23H34O5", "predicate": "proves", "object": "the molecular formula c23h34o5 (molar mass: 390.51 g/mol, exact mass: 390.2406 u) may refer to:\n\n di"}
{"subject": "math:C42H66O14", "predicate": "proves", "object": "{{displaytitle:c42h66o14}}\nthe molecular formula c42h66o14 (molar mass: 794.96 g/mol, exact mass: 79"}
{"subject": "math:C23H32O6", "predicate": "proves", "object": "{{displaytitle:c23h32o6}}\nthe molecular formula c23h32o6 (molar mass: 404.50 g/mol, exact mass: 404."}
{"subject": "math:C21H32O4", "predicate": "proves", "object": "{{displaytitle:c21h32o4}}\nthe molecular formula c21h32o4 (molar mass: 348.48 g/mol) may refer to:\n\n "}
{"subject": "math:C21H34O2", "predicate": "proves", "object": "{{displaytitle:c21h34o2}}\nthe molecular formula c21h34o2 (molar mass : 318.49 g/mol, exact mass : 31"}
{"subject": "math:C21H34O3", "predicate": "proves", "object": "{{displaytitle:c21h34o3}}\nthe molecular formula c21h34o3 may refer to:\n\n tetrahydrodeoxycorticostero"}
{"subject": "math:C27H44O3", "predicate": "proves", "object": "{{displaytitle:c27h44o3}}\nthe molecular formula c27h44o3 (molar mass: 416.63 g/mol, exact mass: 416."}
{"subject": "math:C27H44O2", "predicate": "proves", "object": "{{displaytitle:c27h44o2}}\nthe molecular formula c27h44o2 may refer to:\n\n alfacalcidol\n calcifediol, "}
{"subject": "math:C23H34O4", "predicate": "proves", "object": "the molecular formula c23h34o4 may refer to:\n\n androstenediol diacetate\n calcitroic acid\n digitoxige"}
{"subject": "math:C28H46O", "predicate": "proves", "object": "{{displaytitle:c28h46o}}\nthe molecular formula c28h46o (molar mass: 398.66 g/mol) may refer to:\n\n br"}
{"subject": "math:C27H40O4", "predicate": "proves", "object": "the molecular formula c27h40o4 (molar mass: 428.60 g/mol, exact mass: 428.2927 u) may refer to:\n\n am"}
{"subject": "math:C21H25ClO5", "predicate": "proves", "object": "{{displaytitle:c21h25clo5}}\nthe molecular formula c21h25clo5 (molar mass: 392.87 g/mol, exact mass: "}
{"subject": "math:C22H29FO4", "predicate": "proves", "object": "{{displaytitle:c22h29fo4}}\nthe molecular formula c22h29fo4 (molar mass: 376.46 g/mol) may refer to:\n"}
{"subject": "math:C26H32F2O7", "predicate": "proves", "object": "{{displaytitle:c26h32f2o7}}\nthe molecular formula c26h32f2o7 (molar mass: 494.52 g/mol, exact mass: "}
{"subject": "math:C22H28F2O5", "predicate": "proves", "object": "{{displaytitle:c22h28f2o5}}\nthe molecular formula c22h28f2o5 may refer to:\n\n diflorasone, a syntheti"}
{"subject": "math:C22H27FO5", "predicate": "proves", "object": "{{displaytitle:c22h27fo5}}\nthe molecular formula c22h27fo5 (molar mass: 390.45 g/mol) may refer to:\n"}
{"subject": "math:C24H29FO6", "predicate": "proves", "object": "{{displaytitle:c24h29fo6}}\nthe molecular formula c24h29fo6 may refer to:\n\n acrocinonide, a synthetic"}
{"subject": "math:C28H40O7", "predicate": "proves", "object": "{{displaytitle:c28h40o7}}\nthe molecular formula c28h40o7 (molar mass: 488.61 g/mol, exact mass: 488."}
{"subject": "math:C28H37ClO7", "predicate": "proves", "object": "{{displaytitle:c28h37clo7}}\nthe molecular formula c28h37clo7 (molar mass: 521.04 g/mol, exact mass: "}
{"subject": "math:C25H34O6", "predicate": "proves", "object": "{{displaytitle:c25h34o6}}\nthe molecular formula c25h34o6 (molar mass: 430.53 g/mol, exact mass: 430."}
{"subject": "math:C22H28O5", "predicate": "proves", "object": "{{displaytitle:c22h28o5}}\nthe molecular formula c22h28o5 may refer to:\n\n estradiol hemisuccinate (es"}
{"subject": "math:C22H28Cl2O4", "predicate": "proves", "object": "{{displaytitle:c22h28cl2o4}}\nthe molecular formula c22h28cl2o4 (molar mass: 427.36 g/mol) may refer "}
{"subject": "math:Absu", "predicate": "proves", "object": "absu or absu may refer to:\nabsu (band), a metal band\nabsu (album), 2009 album by the band absu\nabzu,"}
{"subject": "math:C29H35NO2", "predicate": "proves", "object": "{{displaytitle:c29h35no2}}\nthe molecular formula c29h35no2 may refer to:\n\n mifepristone, a medicatio"}
{"subject": "math:C21H24O2", "predicate": "proves", "object": "{{displaytitle:c21h24o2}}\nthe molecular formula c21h24o2 (molar mass: 308.414 g/mol) may refer to:\n\n"}
{"subject": "math:C18H26O2", "predicate": "proves", "object": "{{displaytitle:c18h26o2}}\nthe molecular formula c18h26o2 (molar mass: 274.40 g/mol, exact mass: 274."}
{"subject": "math:C26H38O4", "predicate": "proves", "object": "{{displaytitle:c26h38o4}}\nthe molecular formula c26h38o4 may refer to:\n\n desoxycorticosterone pivala"}
{"subject": "math:C19H30O3", "predicate": "proves", "object": "{{displaytitle:c19h30o3}}\nthe molecular formula c19h30o3 (molar mass: 306.446 g/mol) may refer to:\n\n"}
{"subject": "math:C21H32N2O", "predicate": "proves", "object": "{{displaytitle:c21h32n2o}}\nthe molecular formula c21h32n2o (molar mass: 328.49 g/mol) may refer to:\n"}
{"subject": "math:C18H22O2", "predicate": "proves", "object": "{{displaytitle:c18h22o2}}\nthe molecular formula c18h22o2 may refer to:\n\n 17\u03b1-dihydroequilin\n 17\u03b2-dih"}
{"subject": "math:Octavio_Hern\u00e1ndez", "predicate": "proves", "object": "octavio hern\u00e1ndez was the vice chairman of the board, president, and chief executive officer of u.s."}
{"subject": "math:C18H20O2", "predicate": "proves", "object": "{{displaytitle:c18h20o2}}\nthe molecular formula c18h20o2 (molar mass : 268.35 g/mol) may refer to:\n\n"}
{"subject": "math:C20H24O2", "predicate": "proves", "object": "{{displaytitle:c20h24o2}}\nthe molecular formula c20h24o2 (molar mass: 296.40 g/mol, exact mass: 296."}
{"subject": "math:C22H30O", "predicate": "proves", "object": "{{displaytitle:c22h30o}}\nthe molecular formula c22h30o (molar mass: 310.47 g/mol, exact mass: 310.22"}
{"subject": "math:C24H32O4", "predicate": "proves", "object": "{{displaytitle:c24h32o4}}\nthe molecular formula c24h32o4 may refer to:\n\n estradiol butyrylacetate\n e"}
{"subject": "math:C22H28O2", "predicate": "proves", "object": "{{displaytitle:c22h28o2}}\nthe molecular formula c22h28o2 may refer to:\n\n etonogestrel, a progestin m"}
{"subject": "math:C20H28O", "predicate": "proves", "object": "{{displaytitle:c20h28o}}\nthe molecular formula c20h28o (molar mass: 284.436 g/mol) may refer to:\n\n c"}
{"subject": "math:C22H32O3", "predicate": "proves", "object": "the molecular formula c22h32o3 may refer to:\n\n medrysone\n medroxyprogesterone\n metenolone acetate\n o"}
{"subject": "math:C22H30O3", "predicate": "proves", "object": "{{displaytitle:c22h30o3}}\nthe molecular formula c22h30o3 (molar mass : 342.47 g/mol) may refer to:\n\n"}
{"subject": "math:C23H31NO3", "predicate": "proves", "object": "{{displaytitle:c23h31no3}}\nthe molecular formula c23h31no3 (molar mass: 369.50 g/mol, exact mass: 36"}
{"subject": "math:C30H35NO3", "predicate": "proves", "object": "{{displaytitle:c30h35no3}}\nthe molecular formula c30h35no3 (molar mass: 457.604 g/mol, exact mass: 4"}
{"subject": "math:C18H23NO4", "predicate": "proves", "object": "{{displaytitle:c18h23no4}}\nthe molecular formula c18h23no4 (molar mass: 317.37 g/mol, exact mass: 31"}
{"subject": "math:C9H11NO4", "predicate": "proves", "object": "{{displaytitle:c9h11no4}} \nthe molecular formula c9h11no4 (molar mass: 197.19 g/mol) may refer to:\n\n"}
{"subject": "math:C22H32N2O2", "predicate": "proves", "object": "{{displaytitle:c22h32n2o2}}\nthe molecular formula c22h32n2o2 (molar mass: 356.50 g/mol, exact mass: "}
{"subject": "math:C10H13NO4", "predicate": "proves", "object": "{{displaytitle:c10h13no4}}\nthe molecular formula c10h13no4 may refer to:\n\n farinomalein\n methyldopa\n"}
{"subject": "math:C13H19NO", "predicate": "proves", "object": "{{displaytitle:c13h19no}}\nthe molecular formula c13h19no (molar mass: 205.30 g/mol) may refer to:\n\n "}
{"subject": "math:C10H13NO", "predicate": "proves", "object": "{{displaytitle:c10h13no}}\nthe molecular formula c10h13no (molar mass: 163.21 g/mol, exact mass: 163."}
{"subject": "math:C14H19NO2", "predicate": "proves", "object": "{{displaytitle:c14h19no2}}\nthe molecular formula c14h19no2 (molar mass : 233.30 g/mol, exact mass : "}
{"subject": "math:C14H17NO3", "predicate": "proves", "object": "{{displaytitle:c14h17no3}}\nthe molecular formula c14h17no3 (molar mass : 247.28 g/mol) may refer to "}
{"subject": "math:C11H13NO3", "predicate": "proves", "object": "{{displaytitle:c11h13no3}}\nthe molecular formula c11h13no4 may refer to:\n\n hydrastinine\n methylone\n "}
{"subject": "math:C13H17NO", "predicate": "proves", "object": "{{displaytitle:c13h17no}}\nthe molecular formula c13h17no (molar mass : 203.28 g/mol, exact mass : 20"}
{"subject": "math:C13H21NO2", "predicate": "proves", "object": "{{displaytitle:c13h21no2}}\nthe molecular formula c13h21no2 (molar mass : 223.31 g/mol, exact mass : "}
{"subject": "math:C17H21N", "predicate": "proves", "object": "{{displaytitle:c17h21n}}\nthe molecular formula c17h21n (molar mass: 239.36 g/mol, exact mass: 239.16"}
{"subject": "math:C10H14ClN", "predicate": "proves", "object": "{{displaytitle:c10h14cln}}\nthe molecular formula c10h14cln may refer to:\n\n para-chloromethamphetamin"}
{"subject": "math:C15H25NO2", "predicate": "proves", "object": "the molecular formula c15h25no2 may refer to:\n\n dihydroalprenolol\n 2,5-dimethoxy-4-butylamphetamine\n"}
{"subject": "math:C12H16F3N", "predicate": "proves", "object": "{{displaytitle:c12h16f3n}}\nthe molecular formula c12h16f3n (molar mass: 231.25 g/mol, exact mass: 23"}
{"subject": "math:C11H16BrNO2", "predicate": "proves", "object": "{{displaytitle:c11h16brno2}}\nthe molecular formula c11h16brno2 (molar mass: 274.15 g/mol) may refer "}
{"subject": "math:C12H19NO2", "predicate": "proves", "object": "{{displaytitle:c12h19no2}}\nthe molecular formula c12h19no2 (molar mass: 209.28 g/mol, exact mass: 20"}
{"subject": "math:C10H14FN", "predicate": "proves", "object": "{{displaytitle:c10h14fn}}\nthe molecular formula c10hx14fn may refer to:\n\n 2-fluoromethamphetamine (2"}
{"subject": "math:C12H19N", "predicate": "proves", "object": "{{displaytitle:c12h19n}}\nthe molecular formula c12h19n (molar mass: 177.29 g/mol) may refer to:\n\n n,"}
{"subject": "math:C15H25N3O", "predicate": "proves", "object": "{{displaytitle:c15h25n3o}}\nthe molecular formula c15h25n3o (molar mass: 263.38 g/mol, exact mass: 26"}
{"subject": "math:C12H17NO2", "predicate": "proves", "object": "{{displaytitle:c12h17no2}}\nthe molecular formula c12h17no2 (molar mass : 207.26 g/mol, exact mass : "}
{"subject": "math:C12H19NO4", "predicate": "proves", "object": "{{displaytitle:c12h19no4}}\nthe molecular formula c12h19no4 (molar mass : 239.27 g/mol) may refer to "}
{"subject": "math:C13H21NO3", "predicate": "proves", "object": "{{displaytitle:c13h21no3}}\nthe molecular formula c13h21no3 (molar mass : 239.31 g/mol, exact mass : "}
{"subject": "math:C18H22INO3", "predicate": "proves", "object": "{{displaytitle:c18h22ino3}}\nthe molecular formula c18h22ino3 (molar mass: 427.277 g/mol, exact mass:"}
{"subject": "math:C10H15NO2", "predicate": "proves", "object": "the molecular formula c10h15no2 (molar mass : 181.23 g/mol, exact mass : 181.110279) may refer to :\n"}
{"subject": "math:C10H14N2O4", "predicate": "proves", "object": "{{displaytitle:c10h14n2o4}}\nthe molecular formula c10h14n2o4 (molar mass: 226.23 g/mol, exact mass: "}
{"subject": "math:C11H17NO2S", "predicate": "proves", "object": "{{displaytitle:c11h17no2s}}\nthe molecular formula c11h17no2s (molar mass : 227.32 g/mol) may refer t"}
{"subject": "math:C13H21NO3S", "predicate": "proves", "object": "{{displaytitle:c13h21no3s}}\nthe molecular formula c13h21no3s (molar mass: 271.38 g/mol) may refer to"}
{"subject": "math:C13H19NO2S", "predicate": "proves", "object": "{{displaytitle:c13h19no2s}}\nthe molecular formula c13h19no2s (molar mass: 253.360 g/mol) may refer t"}
{"subject": "math:C14H21NO2S", "predicate": "proves", "object": "{{displaytitle:c14h21no2s}}\nthe molecular formula c14h21no2s (molar mass: 267.39 g/mol) may refer to"}
{"subject": "math:C14H23NO2S", "predicate": "proves", "object": "{{displaytitle:c14h23no2s}}\nthe molecular formula c14h23no2s (molar mass: 269.40 g/mol) may refer to"}
{"subject": "math:C12H15NO2", "predicate": "proves", "object": "{{displaytitle:c12h15no2}}\nthe molecular formula c12h15no2 (molar mass: 205.2535 g/mol, exact mass: "}
{"subject": "math:C12H19NO2S", "predicate": "proves", "object": "{{displaytitle:c12h19no2s}}\nthe molecular formula c12h19no2s (molar mass: 241.35 g/mol) may refer to"}
{"subject": "math:C14H23NO3", "predicate": "proves", "object": "{{displaytitle:c14h23no3}}\nthe molecular formula c14h23no3 (molar mass: 253.34 g/mol) may refer to:\n"}
{"subject": "math:C13H19NO3", "predicate": "proves", "object": "{{displaytitle:c13h19no3}}\nthe molecular formula c13h19no3 (molar mass: 237.29 g/mol) may refer to:\n"}
{"subject": "math:C11H16BrNO3", "predicate": "proves", "object": "{{displaytitle:c11h16brno3}}\nthe molecular formula c11h16brno3 (molar mass: 290.153 g/mol) may refer"}
{"subject": "math:C10H13NO3", "predicate": "proves", "object": "{{displaytitle:c10h13no3}}\nthe molecular formula c10h13no3 (molar mass : 195.22 g/mol) may refer to:"}
{"subject": "math:C11H17BrNO2", "predicate": "proves", "object": "{{displaytitle:c11h17brno2}}\nthe molecular formula c11h17brno2 (molar mass: 258.11 g/mol) may refer "}
{"subject": "math:C14H21NO3", "predicate": "proves", "object": "{{displaytitle:c14h21no3}}\nthe molecular formula c14h21no3 (molar mass : 251.32 g/mol) may refer to "}
{"subject": "math:C10H15NO3", "predicate": "proves", "object": "{{displaytitle:c10h15no3}}\nthe molecular formula c10h15no3 (molar mass: 197.23 g/mol) may refer to:\n"}
{"subject": "math:C13H19NO2", "predicate": "proves", "object": "{{displaytitle:c13h19no2}}\nthe molecular formula c13h19no2 (molar mass : 221.30 g/mol) may refer to:"}
{"subject": "math:C12H17NO3", "predicate": "proves", "object": "{{displaytitle:c12h17no3}}\nthe molecular formula c12h17no3 may refer to:\n\n anhalidine\n anhalinine\n a"}
{"subject": "math:C12H18BrNO2", "predicate": "proves", "object": "the molecular formula c12h18brno2 (molar mass: 288.18 g/mol, exact mass: 287.0521 u) may refer to:\n\n"}
{"subject": "math:C13H17NO2", "predicate": "proves", "object": "{{displaytitle:c13h17no2}}\nthe molecular formula c13h17no2 (molar mass : 219.28 g/mol) may refer to:"}
{"subject": "math:C13H15NO2", "predicate": "proves", "object": "the molecular formula c13h15no2 (molar mass: 217.26 g/mol, exact mass: 217.1103 u) may refer to:\n\ngl"}
{"subject": "math:C13H17NO3", "predicate": "proves", "object": "{{displaytitle:c13h17no3}}\nthe molecular formula c13h17no (molar mass: 235.279 g/mol) may refer to:\n"}
{"subject": "math:C13H19NO4", "predicate": "proves", "object": "{{displaytitle:c13h19no4}}\nthe molecular formula c13h19no4 (molar mass: 253.29 g/mol, exact mass: 25"}
{"subject": "math:C11H15N", "predicate": "proves", "object": "{{displaytitle:c11h15n}}\nthe molecular formula c11h15n (molar mass: 161.24 g/mol) may refer to:\n\n al"}
{"subject": "math:C19H25NO2", "predicate": "proves", "object": "{{displaytitle:c19h25no2}}\nthe molecular formula c19h25no2 (molar mass: 299.41 g/mol, exact mass: 29"}
{"subject": "math:C12H17N3O", "predicate": "proves", "object": "{{displaytitle:c12h17n3o}}\nthe molecular formula c12h17n3o (molar mass: 219.28 g/mol, exact mass: 21"}
{"subject": "math:C8H11NO", "predicate": "proves", "object": "{{displaytitle:c8h11no}}\nthe molecular formula c8h11no (molar mass: 137.17 g/mol, exact mass: 137.08"}
{"subject": "math:C16H19N", "predicate": "proves", "object": "{{displaytitle:c16h19n}}\nthe molecular formula c16h19n (molar mass: 225.33 g/mol, exact mass: 225.15"}
{"subject": "math:Jucys\u2013Murphy_element", "predicate": "proves", "object": "in mathematics, the  jucys\u2013murphy elements in the group algebra  of the symmetric group, named after"}
{"subject": "math:C19H23NO3", "predicate": "proves", "object": "{{displaytitle:c19h23no3}}\nthe molecular formula c19h23no3 (molar mass: 313.39 g/mol) may refer to:\n"}
{"subject": "math:C15H23N", "predicate": "proves", "object": "{{displaytitle:c15h23n}}\nthe molecular formula c15h23n (molar mass: 217.35 g/mol, exact mass: 217.18"}
{"subject": "math:C25H37NO4", "predicate": "proves", "object": "{{displaytitle:c25h37no4}}\nthe molecular formula c25h37no4 (molar mass: 415.56 g/mol, exact mass: 41"}
{"subject": "math:C13H17N", "predicate": "proves", "object": "{{displaytitle:c13h17n}}\nthe molecular formula c13h17n (molar mass: 187.28 g/mol, exact mass: 187.13"}
{"subject": "math:C9H11N", "predicate": "proves", "object": "{{displaytitle:c9h11n}}\nthe molecular formula c9h11n may refer to:\n\n 2-aminoindane, an amphetamine a"}
{"subject": "math:C19H23NO5", "predicate": "proves", "object": "{{displaytitle:c19h23no5}}\nthe molecular formula c19h23no5 (molar mass: 345.39 g/mol) may refer to:\n"}
{"subject": "math:C12H18ClNO", "predicate": "proves", "object": "{{displaytitle:c12h18clno}}\nthe molecular formula c12h18clno (molar mass: 227.73 g/mol, exact mass: "}
{"subject": "math:C12H16N2O", "predicate": "proves", "object": "{{displaytitle:c12h16n2o}}\nthe molecular formula c12h16n2o (molar mass: 204.26 g/mol, exact mass: 20"}
{"subject": "math:C13H18N2O", "predicate": "proves", "object": "{{displaytitle:c13h18n2o}}\nthe molecular formula c13h18n2o (molar mass : 218.29 g/mol, exact mass : "}
{"subject": "math:C11H14N2", "predicate": "proves", "object": "{{displaytitle:c11h14n2}}\nthe molecular formula c11h14n2 (molar mass : 174.24 g/mol, exact mass : 17"}
{"subject": "math:C13H18N2", "predicate": "proves", "object": "{{displaytitle:c13h18n2}}\nthe molecular formula c13h18n2 may refer to:\n\n methylethyltryptamines\n n-m"}
{"subject": "math:C15H22N2", "predicate": "proves", "object": "{{displaytitle:c15h22n2}}\nthe molecular formula c15h22n2 may refer to:\n\n ethylisopropyltryptamine\n e"}
{"subject": "math:C14H16N2O2", "predicate": "proves", "object": "{{displaytitle:c14h16n2o2}}\nthe molecular formula c14h16n2o2 may refer to: \n\n o-dianisidine, a chemi"}
{"subject": "math:C17H24N2O2", "predicate": "proves", "object": "{{displaytitle:c17h24n2o2}}\nthe molecular formula c17h24n2o2 (molar mass : 288.39 g/mol) may refer t"}
{"subject": "math:C16H22N2O2", "predicate": "proves", "object": "{{displaytitle:c16h22n2o2}}\nthe molecular formula c16h22n2o2 (molar mass: 274.36 g/mol) may refer to"}
{"subject": "math:C18H28N2O", "predicate": "proves", "object": "{{displaytitle:c18h28n2o}}\nthe molecular formula c18h28n2o (molar mass: 288.44 g/mol, exact mass: 28"}
{"subject": "math:C14H20N2O", "predicate": "proves", "object": "{{displaytitle:c14h20n2o}}\nthe molecular formula c14h20n2o may refer to:\n\n 5-ethoxy-dmt\n 4-ho-det, a"}
{"subject": "math:C16H24N2O", "predicate": "proves", "object": "{{displaytitle:c16h24n2o}}\nthe molecular formula c16h24n2o (molar mass : 260.38 g/mol) may refer to:"}
{"subject": "math:C14H18N2O", "predicate": "proves", "object": "{{displaytitle:c14h18n2o}}\nthe molecular formula c14h18n2o may refer to:\n\n al-37350a, a tryptamine d"}
{"subject": "math:C15H22N2O", "predicate": "proves", "object": "{{displaytitle:c15h22n2o}}\nthe molecular formula c15h22n2o (molar mass : 246.35 g/mol) may refer to:"}
{"subject": "math:C15H20N2O2", "predicate": "proves", "object": "the molecular formula c15h20n2o2 may refer to:\n\n 4-aco-met, or metacetin\n 5,6-mdo-mipt\n fenspiride\n "}
{"subject": "math:C16H24N2O2", "predicate": "proves", "object": "{{displaytitle:c16h24n2o2}}\n\nthe molecular formula c16h24n2o2 (molar mass : 276.37 g/mol) may refer "}
{"subject": "math:C17H26N2O", "predicate": "proves", "object": "{{displaytitle:c17h26n2o}}\nthe molecular formula c17h26n2o (molar mass: 274.40 g/mol) may refer to:\n"}
{"subject": "math:C15H20N2O", "predicate": "proves", "object": "{{displaytitle:c15h20n2o}}\nthe molecular formula c15h20n2o may refer to:\n\n anagyrine\n 1-(2-dimethyla"}
{"subject": "math:C13H16N2O", "predicate": "proves", "object": "{{displaytitle:c13h16n2o}}\nthe molecular formula c13h16n2o (molar mass : 216.27 g/mol) may refer to "}
{"subject": "math:C14H18N2O2", "predicate": "proves", "object": "the molecular formula c14h18n2o2 may refer to:\n\n o-acetylpsilocin\n gr-196,429\n nefiracetam\n sunifira"}
{"subject": "math:C14H20N2", "predicate": "proves", "object": "{{displaytitle:c14h20n2}}\nthe molecular formula c14h20n2 may refer to:\n\n cipralisant\n diethyltryptam"}
{"subject": "math:C16H24N2", "predicate": "proves", "object": "{{displaytitle:c16h24n2}}\nthe molecular formula c16h24n2 (molar mass: 244.37 g/mol, exact mass: 244."}
{"subject": "math:C13H18N2O2", "predicate": "proves", "object": "{{displaytitle:c13h18n2o2}}\nthe molecular formula c13h18n2o2 may refer to:\n\n 4-hydroxy-5-methoxydime"}
{"subject": "math:C17H25N3O2S", "predicate": "proves", "object": "{{displaytitle:c17h25n3o2s}}\nthe molecular formula c17h25n3o2s (molar mass: 335.46 g/mol, exact mass"}
{"subject": "math:C14H17N3O", "predicate": "proves", "object": "{{displaytitle:c14h17n3o}}\nthe molecular formula c14h17n3o (molar mass: 243.30 g/mol, exact mass: 24"}
{"subject": "math:C16H21N3O2", "predicate": "proves", "object": "the molecular formula c16h21n3o2 may refer to:\n zolmitriptan, a triptan used in the acute treatment "}
{"subject": "math:C10H12N2", "predicate": "proves", "object": "{{displaytitle:c10h12n2}}\nthe molecular formula c10h12n2 (molar mass: 160.22 g/mol) may refer to:\n\n "}
{"subject": "math:C11H13N3O", "predicate": "proves", "object": "{{displaytitle:c11h13n3o}}\nthe molecular formula c11h13n3o (molar mass: 203.24 g/mol) may refer to:\n"}
{"subject": "math:C11H14N2O", "predicate": "proves", "object": "{{displaytitle:c11h14n2o}}\nthe molecular formula c11h14n2o (molar mass : 190.24 g/mol, exact mass : "}
{"subject": "math:1,2-Butanediol", "predicate": "proves", "object": "1,2-butanediol is the organic compound with the formula hoch(ho)chchch.  it is classified as a vic-d"}
{"subject": "math:C11H13FN2", "predicate": "proves", "object": "{{displaytitle:c11h13fn2}}\nthe molecular formula c11h13fn2 (molar mass: 192.233 g/mol, exact mass: 1"}
{"subject": "math:C19H22N2O3S", "predicate": "proves", "object": "{{displaytitle:c19h22n2o3s}}\nthe molecular formula c19h22n2o3s (molar mass: 358.46 g/mol, exact mass"}
{"subject": "math:C11H12N2", "predicate": "proves", "object": "{{displaytitle:c11h12n2}}\nthe molecular formula c11h12n2 (molar mass: 172.23 g/mol, exact mass: 172."}
{"subject": "math:C20H26N2O", "predicate": "proves", "object": "{{displaytitle:c20h26n2o}}\nthe molecular formula c20h26n2o (molar mass: 310.43 g/mol, exact mass: 31"}
{"subject": "math:C22H25N3O", "predicate": "proves", "object": "{{displaytitle:c22h25n3o}}\nthe molecular formula c22h25n3o (molar mass: 347.45 g/mol, exact mass: 34"}
{"subject": "math:C21H21N3O3", "predicate": "proves", "object": "{{displaytitle:c21h21n3o3}}\nthe chemical formula c21h21n3o3 represents a compound composed of carbon"}
{"subject": "math:C9H9N", "predicate": "proves", "object": "{{displaytitle:c9h9n}}\nthe molecular formula c9h9n (molar mass: 131.17 g/mol) may refer to:\n 1-methy"}
{"subject": "math:Trifluorooxonium", "predicate": "proves", "object": "the trifluorooxonium cation is a hypothetical positively charged polyatomic ion with chemical formul"}
{"subject": "math:C39H53N9O14S", "predicate": "proves", "object": "{{displaytitle:c39h53n9o14s}}\nthe molecular formula c39h53n9o14s (molar mass: 903.96 g/mol, exact ma"}
{"subject": "math:C39H54N10O13S", "predicate": "proves", "object": "{{displaytitle:c39h54n10o13s}}\nthe molecular formula c39h54n10o13s (molar mass: 902.97 g/mol, exact "}
{"subject": "math:C17H14N2", "predicate": "proves", "object": "{{displaytitle:c17h14n2}}\nthe molecular formula c17h14n2 (molar mass: 246.31 g/mol, exact mass: 246."}
{"subject": "math:C19H20N2O3", "predicate": "proves", "object": "{{displaytitle:c19h20n2o3}}\nthe molecular formula c19h20n2o3 (molar mass: 324.37 g/mol, exact mass: "}
{"subject": "math:C15H20N2", "predicate": "proves", "object": "the molecular formula c15h20n2 (molar mass: 228.33 g/mol, exact mass: 228.1626 u) may refer to:\n\n in"}
{"subject": "math:C14H17NO6", "predicate": "proves", "object": "{{displaytitle:c14h17no6}}\nthe molecular formula c14h17no6 (molar mass: 295.29 g/mol) may refer to:\n"}
{"subject": "math:C12H13NO2", "predicate": "proves", "object": "{{displaytitle:c12h13no2}}\nthe molecular formula c12h13no2 (molar mass: 203.24 g/mol, exact mass: 20"}
{"subject": "math:C14H16ClN3O", "predicate": "proves", "object": "{{displaytitle:c14h16cln3o}}\nthe molecular formula c14h16cln3o may refer to:\n\n elb-139, an anxiolyti"}
{"subject": "math:C26H26N2O3", "predicate": "proves", "object": "{{displaytitle:c26h26n2o3}}\nthe molecular formula c26h26n2o3 may refer to:\n\n jwh-198, a drug which a"}
{"subject": "math:C19H17ClN2O4", "predicate": "proves", "object": "{{displaytitle:c19h17cln2o4}}\nthe molecular formula c19h17cln2o4 may refer to:\n\n glafenine, a nonste"}
{"subject": "math:C27H33NO4", "predicate": "proves", "object": "{{displaytitle:c27h33no4}}\nthe molecular formula c27h33no4 (molar mass: 435.56 g/mol, exact mass: 43"}
{"subject": "math:C14H20N2O2", "predicate": "proves", "object": "{{displaytitle:c14h20n2o2}}\nthe molecular formula c14h20n2o2 (molar mass: 248.32 g/mol, exact mass: "}
{"subject": "math:C17H20N2O2", "predicate": "proves", "object": "the molecular formula c17h20n2o2 may refer to:\n tropisetron, a serotonin 5-ht3 receptor antagonist\n "}
{"subject": "math:Tadao_Tannaka", "predicate": "proves", "object": "was a japanese mathematician who worked in algebraic number theory.\n\nbiography\ntannaka was born in m"}
{"subject": "math:Boole's_rule", "predicate": "proves", "object": "in mathematics, boole's rule, named after george boole, is a method of numerical integration.\n\nformu"}
{"subject": "math:Goldman_domain", "predicate": "proves", "object": "in mathematics, a goldman domain or g-domain is an integral domain a whose field of fractions is a f"}
{"subject": "math:Regular_ideal", "predicate": "proves", "object": "in mathematics, especially ring theory, a regular ideal can refer to multiple concepts.\n\nin operator"}
{"subject": "math:Focke-Wulf_Fw_62", "predicate": "proves", "object": "the focke-wulf fw 62 was a reconnaissance floatplane, designed and built by focke-wulf for use by na"}
{"subject": "math:SMath_Studio", "predicate": "proves", "object": "smath studio is a freeware (free of charge, but not libre), closed-source, mathematical notebook pro"}
{"subject": "math:Small_stellapentakis_dodecahedron", "predicate": "proves", "object": "in geometry, the small stellapentakis dodecahedron is a nonconvex isohedral polyhedron. it is the du"}
{"subject": "math:Medial_deltoidal_hexecontahedron", "predicate": "proves", "object": "in geometry, the medial deltoidal hexecontahedron is a nonconvex isohedral polyhedron. it is the dua"}
{"subject": "math:Medial_pentagonal_hexecontahedron", "predicate": "proves", "object": "in geometry, the medial pentagonal hexecontahedron is a nonconvex isohedral polyhedron. it is the du"}
{"subject": "math:Great_stellapentakis_dodecahedron", "predicate": "proves", "object": "in geometry, the great stellapentakis dodecahedron (or great astropentakis dodecahedron) is a noncon"}
{"subject": "math:Great_deltoidal_hexecontahedron", "predicate": "proves", "object": "in geometry, the great deltoidal hexecontahedron (or great sagittal ditriacontahedron) is a nonconve"}
{"subject": "math:C21H22O11", "predicate": "proves", "object": "{{displaytitle:c21h22o11}}\n\nthe molecular formula c21h22o11 (molar mass: 450.39 g/mol, exact mass: 4"}
{"subject": "math:Noncommutative_measure_and_integration", "predicate": "proves", "object": "noncommutative measure and integration refers to the theory of weights, states, and traces on von ne"}
{"subject": "math:Allargentum", "predicate": "proves", "object": "allargentum is a mineral from the class of antimonides, superclass of sulfides and sulfosalts (somet"}
{"subject": "math:Alleghanyite", "predicate": "proves", "object": "alleghanyite is a moderately rare humite mineral with formula mn5(sio4)2(oh)2, belonging to the neso"}
{"subject": "math:Alluaudite", "predicate": "proves", "object": "alluaudite is a relatively common alkaline manganese iron phosphate mineral with the chemical formul"}
{"subject": "math:Almarudite", "predicate": "proves", "object": "almarudite (ima symbol: alr) is an extremely rare alkaline manganese beryllium silicate mineral of t"}
{"subject": "math:Alsakharovite-Zn", "predicate": "proves", "object": "alsakharovite-zn (ima symbol: ask-zn) is an extremely rare alkaline strontium zinc titanium silicate"}
{"subject": "math:C21H22O12", "predicate": "proves", "object": "{{displaytitle:c21h22o12}}\nthe molecular formula c21h22o12 (molar mass: 466.39 g/mol, exact mass: 46"}
{"subject": "math:C15H12O8", "predicate": "proves", "object": "{{displaytitle:c15h12o8}}\nthe molecular formula c15h12o8 (molar mass : 320.25 g/mol, exact mass : 32"}
{"subject": "math:Sub-group_hiding", "predicate": "proves", "object": "the sub-group hiding assumption is a computational hardness assumption used in elliptic curve crypto"}
{"subject": "math:C22H32O2", "predicate": "proves", "object": "{{displaytitle:c22h32o2}}\nthe molecular formula c22h32o2 may refer to the following organic compound"}
{"subject": "math:C18H21NO4", "predicate": "proves", "object": "the molecular formula c18h21no4 (molar mass: 315.36 g/mol) may refer to:\n\n codeine-n-oxide\n homolyco"}
{"subject": "math:2010_Bahrain_Grand_Prix", "predicate": "proves", "object": "the 2010 bahrain grand prix (formally the 2010 formula 1 gulf air bahrain grand prix) was a formula "}
{"subject": "math:2010_Australian_Grand_Prix", "predicate": "proves", "object": "the 2010 australian grand prix (formally the 2010 formula 1 qantas australian grand prix) was a form"}
{"subject": "math:2010_Turkish_Grand_Prix", "predicate": "proves", "object": "the 2010 turkish grand prix (formally the 2010 formula 1 turkish grand prix) was a formula one motor"}
{"subject": "math:2010_Malaysian_Grand_Prix", "predicate": "proves", "object": "the 2010 malaysian grand prix (formally the 2010 formula 1 petronas malaysian grand prix) was the th"}
{"subject": "math:2010_Spanish_Grand_Prix", "predicate": "proves", "object": "the 2010 spanish grand prix (officially the formula 1 gran premio de espa\u00f1a telef\u00f3nica 2010) was the"}
{"subject": "math:2010_Monaco_Grand_Prix", "predicate": "proves", "object": "the 2010 monaco grand prix (officially the formula 1 grand prix de monaco 2010) was the sixth round "}
{"subject": "math:2010_Canadian_Grand_Prix", "predicate": "proves", "object": "the 2010 canadian grand prix (formally the formula 1 grand prix du canada 2010) was the eighth round"}
{"subject": "math:2010_European_Grand_Prix", "predicate": "proves", "object": "the 2010 european grand prix (formally the 2010 formula 1 telef\u00f3nica grand prix of europe) was a for"}
{"subject": "math:Shock_polar", "predicate": "proves", "object": "the term shock polar is generally used with the graphical representation of the rankine\u2013hugoniot equ"}
{"subject": "math:C9H6O4", "predicate": "proves", "object": "{{displaytitle:c9h6o4}}\nthe molecular formula c9h6o4 (molar mass: 178.14 g/mol, exact mass 178.02660"}
{"subject": "math:September_2009_in_sports", "predicate": "proves", "object": "\n\ndeaths in september\n\n 22: bruce mcphee\n 16: myles brand\n 14: darren sutherland\n 12: jack kramer\n\nc"}
{"subject": "math:C26H30O11", "predicate": "proves", "object": "{{displaytitle:c26h30o11}}\nthe molecular formula c26h30o11 (molar mass: 518.50 g/mol, exact mass: 51"}
{"subject": "math:Lempholemma", "predicate": "proves", "object": "lempholemma is a genus of lichen-forming fungi in the family lichinaceae.\n\nspecies\n, species fungoru"}
{"subject": "math:FoolProof", "predicate": "proves", "object": "the foolproof initiative is a project by the foolproof foundation that teaches consumer life skills "}
{"subject": "math:C15H22O2", "predicate": "proves", "object": "{{displaytitle:c15h22o2}}\nthe molecular formula c15h22o2 (molar mass : 234.33 g/mol) may refer to: \n"}
{"subject": "math:C17H13ClN4", "predicate": "proves", "object": "{{displaytitle:c17h13cln4}}\nthe molecular formula c17h13cln4 (molar mass: 308.76 g/mol, exact mass: "}
{"subject": "math:2,4-Dinitrochlorobenzene", "predicate": "proves", "object": "2,4-dinitrochlorobenzene (dncb) is an organic compound with the chemical formula (o2n)2c6h3cl. it is"}
{"subject": "math:Lukacs's_proportion-sum_independence_theorem", "predicate": "proves", "object": "in statistics, lukacs's proportion-sum independence theorem is a result that is used when studying p"}
{"subject": "math:Mud_agitator", "predicate": "proves", "object": "a mud agitator is used in surface mud systems to suspend solids and maintain homogeneous mixture thr"}
{"subject": "math:C20H14", "predicate": "proves", "object": "{{displaytitle:c20h14}}\nthe molecular formula c20h14 (molar mass: 254.32 g/mol, exact mass: 254.1096"}
{"subject": "math:C3H7NO3", "predicate": "proves", "object": "{{displaytitle:c3h7no3}}\nthe molecular formula c3h7no3 (molar mass: 105.09 g/mol, exact mass: 105.04"}
{"subject": "math:C7H6O5", "predicate": "proves", "object": "{{displaytitle:c7h6o5}}\nthe molecular formula c7h6o5 (molar mass: 170.12 g/mol, exact mass: 170.0215"}
{"subject": "math:SVFlux", "predicate": "proves", "object": "svflux is a finite element seepage analysis program developed by soilvision systems ltd.. the softwa"}
{"subject": "math:Polyhedral_group", "predicate": "proves", "object": "in geometry, the polyhedral group is any of the symmetry groups of the platonic solids.\n\ngroups\nther"}
{"subject": "math:Thurane_Aung_Khin", "predicate": "proves", "object": "thurane aung khin (born december 16) is a co-founding member of phoenix-based christian rock band ne"}
{"subject": "math:C15H24O2", "predicate": "proves", "object": "{{displaytitle:c15h24o2}} \nthe molecular formula c15h24o2 (molar mass: 236.35 g/mol, exact mass: 236"}
{"subject": "math:L-Glucose", "predicate": "proves", "object": "{{displaytitle:l-glucose}}\n\n-glucose is an organic compound with formula c6h12o6 or o=ch[ch(oh)]5h, "}
{"subject": "math:CRS_Racing", "predicate": "proves", "object": "crs racing is a british auto racing team founded by british driver andrew kirkaldy and canadian-gree"}
{"subject": "math:C14H22O", "predicate": "proves", "object": "the molecular formula c14h22o (molar mass: 206.324 g/mol) may refer to:\n\n \u03b1-isomethyl ionone (alpha-"}
{"subject": "math:C13H12N4O2", "predicate": "proves", "object": "{{displaytitle:c13h12n4o2}}\nthe molecular formula c13h12n4o2 (molar mass: 256.26 g/mol, exact mass: "}
{"subject": "math:Briggs_Motorsport", "predicate": "proves", "object": "briggs motor sport was an australian motor racing team which represented queensland-based businessma"}
{"subject": "math:H\u00e1jek\u2013Le_Cam_convolution_theorem", "predicate": "proves", "object": "in statistics, the h\u00e1jek\u2013le cam convolution theorem states that any regular estimator in a parametri"}
{"subject": "math:Trygve_Nagell", "predicate": "proves", "object": "trygve nagell or trygve nagel (july 13, 1895 in oslo \u2013 january 24, 1988 in uppsala) was a norwegian "}
{"subject": "math:Charles_Day_(boot_blacking_manufacturer)", "predicate": "proves", "object": "charles day (1782/3\u201325 october 1836) was a british industrialist who was co-founder and then sole pr"}
{"subject": "math:C15H20O", "predicate": "proves", "object": "{{displaytitle:c15h20o}}\nthe molecular formula c15h20o (molar mass: 216.319 g/mol, exact mass: 216.1"}
{"subject": "math:C14H8O5", "predicate": "proves", "object": "{{displaytitle:c14h8o5}}\nthe molecular formula c14h8o5 (molar mass: 256.21 g/mol, exact mass: 256.03"}
{"subject": "math:C20H15NO4", "predicate": "proves", "object": "{{displaytitle:c20h15no4}}\nthe molecular formula c20h15no4 (molar mass: 333.34 g/mol, exact mass: 33"}
{"subject": "math:C12H6Cl4O2S", "predicate": "proves", "object": "{{displaytitle:c12h6cl4o2s}}\nthe molecular formula c12h6cl4o2s (molar mass: 356.05 g/mol, exact mass"}
{"subject": "math:C6H5ClO", "predicate": "proves", "object": "{{displaytitle:c6h5clo}}\nthe molecular formula c6h5clo (molar mass: 128.56 g/mol, exact mass: 128.00"}
{"subject": "math:C17H23Cl2NO", "predicate": "proves", "object": "{{displaytitle:c17h23cl2no}}\nthe molecular formula c17h23cl2no (molar mass: 328.27662 g/mol, exact m"}
{"subject": "math:C24H30O8", "predicate": "proves", "object": "{{displaytitle:c24h30o8}}\nthe molecular formula c24h30o8 (molar mass: 446.49 g/mol) may refer to:\n\n "}
{"subject": "math:C13H10O3", "predicate": "proves", "object": "{{displaytitle:c13h10o3}}\nthe molecular formula c13h10o3 (molar mass: 214.216 g/mol) may refer to:\n\n"}
{"subject": "math:C9H12O2", "predicate": "proves", "object": "{{displaytitle:c9h12o2}}\nthe molecular formula c9h12o2 (molar mass: 152.18 g/mol, exact mass: 152.08"}
{"subject": "math:C9H12O3", "predicate": "proves", "object": "{{displaytitle:c9h12o3}}\nthe molecular formula c9h12o3 (molar mass: 168.19 g/mol, exact mass: 168.07"}
{"subject": "math:C10H12N2O4", "predicate": "proves", "object": "{{displaytitle:c10h12n2o4}}\nthe molecular formula c10h12n2o4 (molar mass: 224.21 g/mol, exact mass: "}
{"subject": "math:C18H23NO2", "predicate": "proves", "object": "{{displaytitle:c18h23no2}}\nthe molecular formula c18h23no2 (molar mass: 285.39 g/mol, exact mass: 28"}
{"subject": "math:C13H12O2", "predicate": "proves", "object": "{{displaytitle:c13h12o2}}\nthe molecular formula c13h12o2 (molar mass: 200.23 g/mol) may refer to:\n\n "}
{"subject": "math:C6H5NO3", "predicate": "proves", "object": "{{displaytitle:c6h5no3}}\nthe molecular formula c6h5no3 (molar mass: 139.11 g/mol, exact mass: 139.02"}
{"subject": "math:Villiers_II", "predicate": "proves", "object": "the villiers ii was a french two-seat fighter aircraft of the 1920s intended for operation from the "}
{"subject": "math:C21H26O3", "predicate": "proves", "object": "{{displaytitle:c21h26o3}}\nthe molecular formula c21h26o3 (molar mass: 326.42 g/mol, exact mass: 326."}
{"subject": "math:C17H26O3", "predicate": "proves", "object": "{{displaytitle:c17h26o3}}\n\nthe molecular formula c17h26o3 (molar mass :278.39 g/mol) may refer to :\n"}
{"subject": "math:C10H12O5", "predicate": "proves", "object": "{{displaytitle:c10h12o5}}\nthe molecular formula c10h12o5 (molar mass : 212.19 g/mol, exact mass : 21"}
{"subject": "math:C10H12O3", "predicate": "proves", "object": "{{displaytitle:c10h12o3}}\nthe molecular formula c10h12o3 (molar mass : 180.2 g/mol, exact mass : 180"}
{"subject": "math:C17H24O3", "predicate": "proves", "object": "{{displaytitle:c17h24o3}}\nthe molecular formula c17h24o3 may refer to:\n\n cyclandelate, a vasodilator"}
{"subject": "math:C6H3N3O8", "predicate": "proves", "object": "{{displaytitle:c6h3n3o8}}\nthe molecular formula c6h3n3o8 may refer to:\n\n styphnic acid\n 2,4,6-trinit"}
{"subject": "math:C7H5Br3O", "predicate": "proves", "object": "{{displaytitle:c7h5br3o}} \nthe molecular formula c7h5br3o (molar mass: 344.83 g/mol, exact mass: 341"}
{"subject": "math:C18H26O", "predicate": "proves", "object": "{{displaytitle:c18h26o}}\nthe molecular formula c18h26o (molar mass: 258.40 g/mol, exact mass: 258.19"}
{"subject": "math:C19H26N2O4S", "predicate": "proves", "object": "{{displaytitle:c19h26n2o4s}}\nthe molecular formula c19h26n2o4s (molar mass: 378.49 g/mol, exact mass"}
{"subject": "math:C7H6O4", "predicate": "proves", "object": "{{displaytitle:c7h6o4}}\nthe molecular formula c7h6o4 may refer to:\n\n dihydroxybenzoic acids, a type "}
{"subject": "math:C8H8O5", "predicate": "proves", "object": "{{displaytitle:c8h8o5}}\nthe molecular formula c8h8o5 (molar mass: 184.14 g/mol, exact mass: 184.0372"}
{"subject": "math:C12H18O2", "predicate": "proves", "object": "{{displaytitle:c12h18o2}}\nthe molecular formula c12h18o2 (molar mass: 194.27 g/mol, exact mass: 194."}
{"subject": "math:C16H17NO3", "predicate": "proves", "object": "{{displaytitle:c16h17no3}}\nthe molecular formula c16h17no3 (molar mass: 271.31 g/mol, exact mass: 27"}
{"subject": "math:C6H4(OH)2", "predicate": "proves", "object": "{{displaytitle:c6h4(oh)2}}\nthe molecular formula c6h4(oh)2 (molar mass: 110.11 g/mol, exact mass: 11"}
{"subject": "math:C18H22O4", "predicate": "proves", "object": "{{displaytitle:c18h22o4}}\nthe molecular formula c18h22o4 (molar mass : 302.36 g/mol) may refer to:\n\n"}
{"subject": "math:C11H14O4", "predicate": "proves", "object": "{{displaytitle:c11h14o4}}\nthe molecular formula c11h14o4 (molar mass: 210.22 g/mol, exact mass: 210."}
{"subject": "math:Robert_Bryant_(mathematician)", "predicate": "proves", "object": "robert leamon bryant (born august 30, 1953, kipling) is an american mathematician. he works at duke "}
{"subject": "math:Albertson_conjecture", "predicate": "proves", "object": "in combinatorial mathematics, the albertson conjecture is an unproven relationship between the cross"}
{"subject": "math:Matt_Hamilton_(racing_driver)", "predicate": "proves", "object": "matthew hamilton (born 2 february 1990 in hemel hempstead) is a british racing driver. he is best kn"}
{"subject": "math:Errera_graph", "predicate": "proves", "object": "in the mathematical field of graph theory, the errera graph is a graph with 17 vertices and 45 edges"}
{"subject": "math:C16H12FN3O3", "predicate": "proves", "object": "{{displaytitle:c16h12fn3o3}}\nthe molecular formula c16h12fn3o3 (molar mass: 313.283 g/mol, exact mas"}
{"subject": "math:C40H64", "predicate": "proves", "object": "{{displaytitle:c40h64}}\nthe molecular formula c40h64 (molar mass: 544.94 g/mol, exact mass: 544.5008"}
{"subject": "math:Zirconium(IV)_sulfate", "predicate": "proves", "object": "zirconium(iv) sulfate is the name for a family of inorganic salts with the formula zr(so4)2(h2o)n wh"}
{"subject": "math:Circular_algebraic_curve", "predicate": "proves", "object": "in geometry, a circular algebraic curve is a type of plane algebraic curve determined by an equation"}
{"subject": "math:C20H23N7O7", "predicate": "proves", "object": "the molecular formula c20h23n7o7 (molar mass: 473.44 g/mol, exact mass: 473.1659 u) may refer to:\n\n "}
{"subject": "math:Diffpack", "predicate": "proves", "object": "diffpack is a programming environment for developing simulation software for scientific and engineer"}
{"subject": "math:Cylinder_manifold", "predicate": "proves", "object": "a cylinder manifold is system of pipes and valves for using a group of gas cylinders, or boil-off fr"}
{"subject": "math:Super_Tonks\u2013Girardeau_gas", "predicate": "proves", "object": "in physics, the super-tonks\u2013girardeau gas represents an excited quantum gas phase with strong attrac"}
{"subject": "math:Maslowian_portfolio_theory", "predicate": "proves", "object": "maslowian portfolio theory (mapt) creates a normative portfolio theory based on human needs as descr"}
{"subject": "math:Bis(pinacolato)diboron", "predicate": "proves", "object": "bis(pinacolato)diboron is a covalent compound containing two boron atoms and two pinacolato ligands."}
{"subject": "math:Octagrammic_prism", "predicate": "proves", "object": "in geometry, the octagrammic prism is one of an infinite set of nonconvex prisms formed by square si"}
{"subject": "math:C19H22O3", "predicate": "proves", "object": "{{displaytitle:c19h22o3}}\nthe molecular formula c19h22o3 (molar mass: 298.38 g/mol) may refer to:\n\n "}
{"subject": "math:C21H28O6", "predicate": "proves", "object": "{{displaytitle:c21h28o6}}\nthe molecular formula c21h28o6 (molar mass: 376.44 g/mol, exact mass: 376."}
{"subject": "math:C10H12O4", "predicate": "proves", "object": "{{displaytitle:c10h12o4}}\nthe molecular formula c10h12o4 may refer to:\n\n acetosyringone, a chemical "}
{"subject": "math:C18H27NO2", "predicate": "proves", "object": "{{displaytitle:c18h27no2}}\nthe molecular formula c18h27no2 may refer to:\n\n alifedrine, a partial bet"}
{"subject": "math:C4H4F6O", "predicate": "proves", "object": "{{displaytitle:c4h4f6o}}\nthe molecular formula c4h4f6o may refer to:\n\n flurothyl, a volatile liquid "}
{"subject": "math:C12H12N2O", "predicate": "proves", "object": "{{displaytitle:c12h12n2o}}\nthe molecular formula c12h12n2o2 (molar mass: 200.24 g/mol, exact mass: 2"}
{"subject": "math:C20H19NO3", "predicate": "proves", "object": "{{displaytitle:c20h19no3}}\nthe molecular formula c20h19no3 (molar mass: 321.37 g/mol, exact mass: 32"}
{"subject": "math:C10H13ClN2", "predicate": "proves", "object": "the molecular formula c10h13cln2 may refer to:\n\n chlordimeform\n meta-chlorophenylpiperazine\n para-ch"}
{"subject": "math:M\u00fccke_Motorsport", "predicate": "proves", "object": "m\u00fccke motorsport (also known as adac berlin-brandenburg) is an auto racing team based in germany.\n\nh"}
{"subject": "math:C11H13ClN2", "predicate": "proves", "object": "{{displaytitle:c11h13cln2}}\nthe molecular formula c11h13cln2 (molar mass: 208.69 g/mol, exact mass: "}
{"subject": "math:2009_Algarve_GP2_Series_round", "predicate": "proves", "object": "the 2009 portuguese gp2 round was the  final round of the 2009 gp2 series season. it was held on sep"}
{"subject": "math:Reed\u2013Frost_model", "predicate": "proves", "object": "the reed\u2013frost model is a mathematical model of epidemics put forth in the 1920s by lowell reed and "}
{"subject": "math:Global_Mapper", "predicate": "proves", "object": "global mapper is a geographic information system (gis) software package currently developed by blue "}
{"subject": "math:Andrew_M._Stuart", "predicate": "proves", "object": "andrew m. stuart  is a british and american mathematician, working in applied and computational math"}
{"subject": "math:Rossmo's_formula", "predicate": "proves", "object": "rossmo's formula is a geographic profiling formula to predict where a serial criminal lives. it reli"}
{"subject": "math:C10H12FNO", "predicate": "proves", "object": "{{displaytitle:c10h12fno}}\nthe molecular formula for c10h12fno (molar mass: 181.21 g/mol, exact mass"}
{"subject": "math:C23H25O12", "predicate": "proves", "object": "{{displaytitle:c23h25o12}}\nthe molecular formula c23h25o12 (or c23h25o12+ or c23h25clo12, molar mass"}
{"subject": "math:1966_Australian_Drivers'_Championship", "predicate": "proves", "object": "the 1966 australian drivers' championship was a cams sanctioned australian motor racing title for dr"}
{"subject": "math:The_Outrage_(Marcus_Welby,_M.D.)", "predicate": "proves", "object": "\"the outrage\" is a 1974 episode of marcus welby, m.d., a long-running american medical drama on abc."}
{"subject": "math:Wall-crossing", "predicate": "proves", "object": "in algebraic geometry and string theory, the phenomenon of wall-crossing describes the discontinuous"}
{"subject": "math:C27H31O15", "predicate": "proves", "object": "{{displaytitle:c27h31o15}}\nthe molecular formula c27h31o15+ (molar mass: 595.53 g/mol, exact mass: 5"}
{"subject": "math:Local_tangent_space_alignment", "predicate": "proves", "object": "local tangent space alignment (ltsa) is a method for manifold learning, which can efficiently learn "}
{"subject": "math:\u00c9tale_algebra", "predicate": "proves", "object": "in commutative algebra, an \u00e9tale algebra over a field is a special type of algebra, one that is isom"}
{"subject": "math:Buzz_(dinghy)", "predicate": "proves", "object": "the buzz is a sailing dinghy designed in 1994 by ian howlett and john caig and manufactured by reg w"}
{"subject": "math:\u00c9tale_group_scheme", "predicate": "proves", "object": "in mathematics, more precisely in algebra, an \u00e9tale group scheme is a certain kind of group scheme.\n"}
{"subject": "math:C11H9I3N2O4", "predicate": "proves", "object": "{{displaytitle:c11h9i3n2o4}}\nthe molecular formula c11h9i3n2o4 (molar mass: 613.914 g/mol, exact mas"}
{"subject": "math:C14H12", "predicate": "proves", "object": "{{displaytitle:c14h12}}\nthe molecular formula c14h12 (molar mass : 180.25 g/mol) may refer to:\n\n 9,1"}
{"subject": "math:VP/MS", "predicate": "proves", "object": "vp/ms  (visual product modeling system) is a family of software components developed by csc that sup"}
{"subject": "math:Bible_translations_into_Uzbek", "predicate": "proves", "object": "the bible has been fully translated into uzbek. the full text was made publicly available for the fi"}
{"subject": "math:C5H10O3", "predicate": "proves", "object": "{{displaytitle:c5h10o3}}\nthe molecular formula c5h10o3 may refer to:\n\n diethyl carbonate\n ethyl lact"}
{"subject": "math:C22H31NO3", "predicate": "proves", "object": "{{displaytitle:c22h31no3}}\nthe molecular formula c22h31no3 (molar mass: 357.49 g/mol, exact mass: 35"}
{"subject": "math:C30H18", "predicate": "proves", "object": "{{displaytitle:c30h18}}\nthe molecular formula c30h18 (molar mass: 378.46 g/mol, exact mass: 378.1409"}
{"subject": "math:C30H17Cl", "predicate": "proves", "object": "{{displaytitle:c30h17cl}}\n\nthe molecular formula c30h17cl (molar mass: 412.91 g/mol) may refer to:\n "}
{"subject": "math:Heptagonal_prism", "predicate": "proves", "object": "in geometry, the heptagonal prism is a prism with heptagonal base. this polyhedron has 9 faces (2 ba"}
{"subject": "math:Enneagonal_prism", "predicate": "proves", "object": "in geometry, the enneagonal prism (or nonagonal prism) is the seventh in an infinite set of prisms, "}
{"subject": "math:1970_Australian_Formula_2_Championship", "predicate": "proves", "object": "the 1970 australian formula 2 championship was an australian motor racing title for drivers of racin"}
{"subject": "math:C21H21O11+", "predicate": "proves", "object": "the molecular formula c21h21o11+ (molar mass: 449.38 g/mol, exact mass: 449.108386 u) may refer to:\n"}
{"subject": "math:C21H21ClO11", "predicate": "proves", "object": "{{displaytitle: c21h21clo11}}\nthe molecular formula c21h21clo11 (molar mass: 484.84 g/mol, exact mas"}
{"subject": "math:Wettable_powder", "predicate": "proves", "object": "a wettable powder (wp) is an insecticide or other pesticide formulation consisting of the active ing"}
{"subject": "math:Timeline_of_manifolds", "predicate": "proves", "object": "this is a timeline of manifolds, one of the major geometric concepts of mathematics. for further bac"}
{"subject": "math:C2H6O4S", "predicate": "proves", "object": "{{displaytitle:c2h6o4s}}\nthe molecular formula c2h6o4s (molar mass: 126.13 g/mol, exact mass: 125.99"}
{"subject": "math:Yuji_Kunimoto", "predicate": "proves", "object": "is a japanese racing driver for toyota gazoo racing who is currently competing in super gt for racin"}
{"subject": "math:C11H20O10", "predicate": "proves", "object": "{{displaytitle:c11h20o10}}\nthe molecular formula c11h20o10 (molar mass: 312.27 g/mol, molar mass: 31"}
{"subject": "math:C27H31O16", "predicate": "proves", "object": "{{displaytitle:c27h31o16}}\nthe molecular formula c27h31o16+ (molar mass: 611.52 g/mol, exact mass: 6"}
{"subject": "math:C12H15N5O3", "predicate": "proves", "object": "{{displaytitle:c12h15n5o3}}\nthe molecular formula c12h15n5o3 (molar mass: 277.28 g/mol, exact mass: "}
{"subject": "math:Grand_Prix_Simulator", "predicate": "proves", "object": "grand prix simulator is a racing game developed by the oliver twins and published by codemasters for"}
{"subject": "math:C16H14O5", "predicate": "proves", "object": "{{displaytitle:c16h14o5}}\nthe molecular formula c16h14o5 (molar mass : 286.27 g/mol, exact mass : 28"}
{"subject": "math:Pentakis_icosidodecahedron", "predicate": "proves", "object": "in geometry, the pentakis icosidodecahedron or subdivided icosahedron is a convex polyhedron with 80"}
{"subject": "math:C40H56O2", "predicate": "proves", "object": "{{displaytitle:c40h56o2}}\nthe molecular formula c40h56o2 (molar mass: 568.87 g/mol) may refer to:\n\n "}
{"subject": "math:C24H28O2", "predicate": "proves", "object": "{{displaytitle:c24h28o2}}\nthe molecular formula c24h28o2 (molar mass: 348.48 g/mol, exact mass: 348."}
{"subject": "math:C26H33NO2", "predicate": "proves", "object": "{{displaytitle:c26h33no2}}\nthe molecular formula c26h33no2 (molar mass: 391.54 g/mol) may refer to:\n"}
{"subject": "math:Tetrakis_cuboctahedron", "predicate": "proves", "object": "in geometry, the tetrakis cuboctahedron is a convex polyhedron with 32 triangular faces, 48 edges, a"}
{"subject": "math:Mass_point_geometry", "predicate": "proves", "object": "mass point geometry, colloquially known as mass points, is a problem-solving technique in geometry w"}
{"subject": "math:F1-X_Dubai", "predicate": "proves", "object": "f1-x dubai was a proposed theme park dedicated to formula one. it would have been the first official"}
{"subject": "math:TRA_(baseball_statistic)", "predicate": "proves", "object": "tra is a baseball statistic used to measure the performance of a pitcher. similar to fip, tra uses a"}
{"subject": "math:The_Invisible_Kid", "predicate": "proves", "object": "the invisible kid is a 1988 american teen science fiction comedy film written and directed by avery "}
{"subject": "math:Invisible_Man:_Rape!", "predicate": "proves", "object": "aka lusty transparent man is a 1978 japanese film in nikkatsu's roman porno series, directed by isao"}
{"subject": "math:C6H11NO4", "predicate": "proves", "object": "{{displaytitle:c6h11no4}}\nthe molecular formula c6h11no4 may refer to:\n\n \u03b1-aminoadipic acid\n n-methy"}
{"subject": "math:Mn\u00ebv's_universality_theorem", "predicate": "proves", "object": "in algebraic geometry, mn\u00ebv's universality theorem is a result which can be used to represent algebr"}
{"subject": "math:C21H24O10", "predicate": "proves", "object": "{{displaytitle:c21h24o10}}\nthe molecular formula c21h24o10 (molar mass: 436.41 g/mol, exact mass: 43"}
{"subject": "math:C23H27NO9", "predicate": "proves", "object": "{{displaytitle:c23h27no9}}\nthe molecular formula c23h27no9 (molar mass: 461.46 g/mol) may refer to:\n"}
{"subject": "math:C11H16N4O4", "predicate": "proves", "object": "{{displaytitle:c11h16n4o4}}\nthe molecular formula c11h16n4o4 (molar mass: 268.27 g/mol, exact mass: "}
{"subject": "math:C9H11FN2O5", "predicate": "proves", "object": "{{displaytitle:c9h11fn2o5}}\nthe molecular formula c9h11fn2o5 may refer to:\n\n doxifluridine, a second"}
{"subject": "math:C9H13N3O5", "predicate": "proves", "object": "the molecular formula c9h13n3o5 (molar mass: 243.22 g/mol, exact mass: 243.0855 u) may refer to:\n\n c"}
{"subject": "math:C8H12N4O5", "predicate": "proves", "object": "{{displaytitle:c8h12n4o5}}\nthe molecular formula c8h12n4o5 (molar mass: 244.205 g/mol) may refer to:"}
{"subject": "math:C27H29NO11", "predicate": "proves", "object": "{{displaytitle:c27h29no11}}\nthe molecular formula c27h29no11 (molar mass: 543.52 g/mol, exact mass: "}
{"subject": "math:C7H15Cl2N2O2P", "predicate": "proves", "object": "the molecular formula c7h15cl2n2o2p (molar mass: 261.09 g/mol, exact mass: 260.0248 u) may refer to:"}
{"subject": "math:C12H19N3O", "predicate": "proves", "object": "{{displaytitle:c12h19n3o}}\nthe molecular formula c12h19n3o (molar mass: 221.29 g/mol, exact mass: 22"}
{"subject": "math:C6H11NO3", "predicate": "proves", "object": "{{displaytitle: c6h11no3}}\nthe molecular formula c6h11no3 (molar mass: 145.16 g/mol, exact mass: 145"}
{"subject": "math:C20H23NO4", "predicate": "proves", "object": "{{displaytitle:c20h23no4}}\nthe molecular formula c20h23no4 may refer to:\n\n efaproxiral, an allosteri"}
{"subject": "math:C21H25NO5", "predicate": "proves", "object": "{{displaytitle:c21h25no5}}\nthe molecular formula c21h25no5 may refer to:\n\n demecolcine, a drug used "}
{"subject": "math:C12H22O6", "predicate": "proves", "object": "{{displaytitle:c12h22o6}}\nthe molecular formula c12h22o6 (molar mass: 262.3 g/mol) refers to a numbe"}
{"subject": "math:C15H10Cl2N2O2", "predicate": "proves", "object": "{{displaytitle:c15h10cl2n2o2}}\nthe molecular formula c15h10cl2n2o2 (molar mass: 321.158 g/mol) may r"}
{"subject": "math:C20H24N2OS", "predicate": "proves", "object": "{{displaytitle: c20h24n2os}}\nthe molecular formula c20h24n2os (molar mass: 340.48 g/mol, exact mass:"}
{"subject": "math:C14H10Cl4", "predicate": "proves", "object": "{{displaytitle:c14h10cl4}}\nthe molecular formula c14h10cl4 (molar mass: 320.04 g/mol) may refer to:\n"}
{"subject": "math:C14H20N2O3", "predicate": "proves", "object": "{{displaytitle:c14h20n2o3}}\nthe molecular formula c14h20n2o3 (molar mass: 264.32 g/mol, exact mass: "}
{"subject": "math:Althausite", "predicate": "proves", "object": "althausite is a relatively simple magnesium phosphate mineral with formula mg2(po4)(oh,f). it is ver"}
{"subject": "math:Althupite", "predicate": "proves", "object": "althupite (ima symbol: ahp) is a rare aluminium thorium uranyl phosphate mineral with complex formul"}
{"subject": "math:Altisite", "predicate": "proves", "object": "altisite (ima symbol: ati) is an exceedingly rare alkaline titanium aluminosilicate chloride mineral"}
{"subject": "math:C22H26N2O2", "predicate": "proves", "object": "{{displaytitle:c22h26n2o2}}\nthe molecular formula c22h26n2o2 (molar mass: 350.45 g/mol) may refer to"}
{"subject": "math:C12H12N2O2S", "predicate": "proves", "object": "{{displaytitle:c12h12n2o2s}}\nthe molecular formula c12h12n2o2s (molar mass: 248.30 g/mol, exact mass"}
{"subject": "math:C20H25NO4", "predicate": "proves", "object": "{{displaytitle:c20h25no4}}\nthe molecular formulas c20h25no4 (molar mass: 343.41 g/mol) may refer to:"}
{"subject": "math:C24H31NO4", "predicate": "proves", "object": "{{displaytitle:c24h31no4}}\n\nthe molecular formula c24h31no4 (molar mass: 397.50 g/mol) may refer to:"}
{"subject": "math:C21H25NO4", "predicate": "proves", "object": "{{displaytitle:c21h25no4}}\nthe molecular formula c21h25no4 (molar mass: 355.42 g/mol, exact mass: 35"}
{"subject": "math:C25H31NO3", "predicate": "proves", "object": "{{displaytitle:c25h31no3}}\nthe molecular formula c25h31no3 (molar mass: 393.52 g/mol, exact mass: 39"}
{"subject": "math:C16H21NO3", "predicate": "proves", "object": "{{displaytitle:c16h21no3}}\nthe molecular formula c16h21no3 (molar mass: 275.35 g/mol, exact mass: 27"}
{"subject": "math:C23H32N6O4S", "predicate": "proves", "object": "{{displaytitle:c23h32n6o4s}}\nthe molecular formula c23h32n6o4s (molar mass: 488.60 g/mol, exact mass"}
{"subject": "math:C9H12N2O4S", "predicate": "proves", "object": "{{displaytitle:c9h12n2o4s}}\nthe molecular formula c9h12n2o4s (molar mass: 244.268 g/mol, exact mass:"}
{"subject": "math:C20H21NO4", "predicate": "proves", "object": "{{displaytitle:c20h21no4}}\nthe molecular formula c20h21no4 (molar mass: 339.38 g/mol) may refer to:\n"}
{"subject": "math:C22H26N2O4", "predicate": "proves", "object": "{{displaytitle:c22h26n2o4}}\n\nthe molecular formula c22h26n2o4 (molar mass: 382.5 g/mol) may refer to"}
{"subject": "math:C10H14N4O2", "predicate": "proves", "object": "{{displaytitle:c10h14n4o2}}\nthe molecular formulas c10h14n4o2 (molar mass : 222.3 g/mol) may refer t"}
{"subject": "math:C11H14N4O4", "predicate": "proves", "object": "{{displaytitle:c11h14n4o4}}\nthe molecular formula c11h14n4o4 (molar mass: 266.253 g/mol, exact mass:"}
{"subject": "math:C18H16O3", "predicate": "proves", "object": "{{displaytitle:c18h16o3}}\nthe molecular formula c18h16o3 (molar mass: 280.31 g/mol, exact mass: 280."}
{"subject": "math:C14H22N2O", "predicate": "proves", "object": "the molecular formula c14h22n2o (molar mass: 234.34 g/mol, exact mass: 234.1732 u) may refer to:\n\n l"}
{"subject": "math:C15H24N2O2", "predicate": "proves", "object": "{{displaytitle:c15h24n2o2}}\nthe molecular formula c15h24n2o2 (molar mass: 264.363 g/mol) may refer t"}
{"subject": "math:C28H41N3O3", "predicate": "proves", "object": "{{displaytitle:c28h41n3o3}}\nthe molecular formula c28h41n3o3 (molar mass: 467.643 g/mol, exact mass:"}
{"subject": "math:C22H22O11", "predicate": "proves", "object": "{{displaytitle:c22h22o11}}\nthe molecular formula c22h22o11 (molar mass: 462.40 g/mol, exact mass: 46"}
{"subject": "math:Felipe_Nasr", "predicate": "proves", "object": "luiz felipe de oliveira nasr (born 21 august 1992) is a brazilian racing driver. he is a 2 time imsa"}
{"subject": "math:2009_FIVB_Volleyball_Women's_World_Grand_Champions", "predicate": "proves", "object": "the 2009 fivb women's world grand champions cup was held in tokyo and fukuoka, japan from november 1"}
{"subject": "math:2005_FIVB_Volleyball_Women's_World_Grand_Champions", "predicate": "proves", "object": "the 2005 fivb women's world grand champions cup was held in tokyo and nagoya, japan from november 15"}
{"subject": "math:2009_FIVB_Volleyball_Men's_World_Grand_Champions_C", "predicate": "proves", "object": "the 2009 fivb volleyball men's world grand champions cup was held in osaka and nagoya, japan from 18"}
{"subject": "math:Proofs_of_convergence_of_random_variables", "predicate": "proves", "object": "this article is supplemental for \u201cconvergence of random variables\u201d and provides proofs for selected "}
{"subject": "math:Iranite", "predicate": "proves", "object": "iranite (persian: \u0627\u06cc\u0631\u0627\u0646\u06cc\u062a) is a triclinic lead copper chromate silicate mineral with formula pb10cu("}
{"subject": "math:C12H8N4O6S", "predicate": "proves", "object": "{{displaytitle:c12h8n4o6s}}\nthe molecular formula c12h8n4o6s (molar mass: 336.28 g/mol, exact mass: "}
{"subject": "math:Fuscin", "predicate": "proves", "object": "fuscin is an antibiotic with the molecular formula c15h16o5 which is produced by the fungus oidioden"}
{"subject": "math:C18H14Cl4N2O", "predicate": "proves", "object": "{{displaytitle:c18h14cl4n2o}}\nthe molecular formula c18h14cl4n2o (molar mass: 416.13 g/mol, exact ma"}
{"subject": "math:C21H23NO4S", "predicate": "proves", "object": "{{displaytitle:c21h23no4s}}\nthe molecular formula c21h23no4s (molar mass: 385.48 g/mol, exact mass: "}
{"subject": "math:C18H19NO3", "predicate": "proves", "object": "{{displaytitle:c18h19no3}}\nthe molecular formula c18h19no3 (molar mass: 297.35 g/mol, exact mass: 29"}
{"subject": "math:C18H21NO2", "predicate": "proves", "object": "{{displaytitle:c18h21no2}}\nthe molecular formulas c18h21no2 (molar mass: 283.36 g/mol) may refer to "}
{"subject": "math:C17H20N4O2", "predicate": "proves", "object": "{{displaytitle:c17h20n4o2}}\nthe molecular formula c17h20n4o2 (molar mass: 312.366 g/mol, exact mass:"}
{"subject": "math:C17H21NO2", "predicate": "proves", "object": "{{displaytitle:c17h21no2}}\nthe molecular formula c17h21no2 (molar mass: 271.35 g/mol, exact mass: 27"}
{"subject": "math:C24H25NO3", "predicate": "proves", "object": "{{displaytitle:c24h25no3}}\nthe molecular formula c24h25no3 may refer to:\n\n benzylmorphine, an opioid"}
{"subject": "math:C27H31NO4", "predicate": "proves", "object": "{{displaytitle:c27h31no4}}\nthe molecular formula c27h31no4 (molar mass: 433.54 g/mol) may refer to:\n"}
{"subject": "math:C25H25NO4", "predicate": "proves", "object": "{{displaytitle:c25h25no4}}\nthe molecular formula c25h25no4 (molar mass: 403.47 g/mol, exact mass: 40"}
{"subject": "math:C19H21NO4", "predicate": "proves", "object": "{{displaytitle:c19h21no4}}\nthe molecular formula c19h21no4 (molar mass : 327.37 g/mol) may refer to "}
{"subject": "math:C17H17NO3", "predicate": "proves", "object": "{{displaytitle:c17h17no3}}\nthe molecular formula c17h17no3 (molar mass: 283.322 g/mol, exact mass: 2"}
{"subject": "math:C17H19NO4", "predicate": "proves", "object": "{{displaytitle:c17h19no4}}\nthe molecular formula c17h19no4 may refer to:\n\n fenoxycarb\n haemanthamine"}
{"subject": "math:C22H28N2O3", "predicate": "proves", "object": "{{displaytitle:c22h28n2o3}}\nthe molecular formula c22h28n2o3 may refer to:\n\n hirsutine\n isovoacangin"}
{"subject": "math:C20H24N2O5", "predicate": "proves", "object": "{{displaytitle:c20h24n2o5}}\nthe molecular formula c20h24n2o5 (molar mass: 372.41 g/mol, exact mass: "}
{"subject": "math:C24H24N2O4", "predicate": "proves", "object": "{{displaytitle:c24h24n2o4}}\nthe molecular formula c24h24n2o4 (molar mass: 404.45 g/mol, exact mass: "}
{"subject": "math:C24H26N2O4", "predicate": "proves", "object": "{{displaytitle:c24h26n2o4}}\nthe molecular formula c24h26n2o4 (molar mass: 406.474 g/mol) may refer t"}
{"subject": "math:C17H24N2O3", "predicate": "proves", "object": "the molecular formula c17h24n2o3 (molar mass: 304.39 g/mol) may refer to:\n\n 3,4-mdo-u-47700\n n-methy"}
{"subject": "math:C15H21NO", "predicate": "proves", "object": "{{displaytitle:c15h21no}}\nthe molecular formula c15h21no (molar mass : 231.33 g/mol) may refer to:\n\n"}
{"subject": "math:C16H23NO", "predicate": "proves", "object": "{{displaytitle:c16h23no}}\nthe molecular formula c16h23no may refer to:\n\n anazocine, an opioid analge"}
{"subject": "math:C19H27NO", "predicate": "proves", "object": "{{displaytitle:c19h27no}}\nthe molecular formula c19h27no (molar mass: 285.42 g/mol, exact mass: 285."}
{"subject": "math:C22H27NO", "predicate": "proves", "object": "{{displaytitle:c22h27no}}\nthe molecular formula c22h27no (molar mass: 321.45 g/mol, exact mass: 321."}
{"subject": "math:C17H23NO2", "predicate": "proves", "object": "{{displaytitle:c17h23no2}}\nthe molecular formula c17h23no2 (molar mass: 273.37 g/mol) may refer to:\n"}
{"subject": "math:C22H28N2O2", "predicate": "proves", "object": "{{displaytitle:c22h28n2o2}}\nthe molecular formula c22h28n2o2 (molar mass : 352.47 g/mol) may refer t"}
{"subject": "math:C15H21NO3", "predicate": "proves", "object": "{{displaytitle:c15h21no3}}\nthe molecular formula c15h21no3 (molar mass: 263.332 g/mol, exact mass: 2"}
{"subject": "math:C22H27NO3", "predicate": "proves", "object": "{{displaytitle:c22h27no3}}\nthe molecular formula c22h27no3 (molar mass: 353.45 g/mol, exact mass: 35"}
{"subject": "math:C13H16N2", "predicate": "proves", "object": "{{displaytitle:c13h16n2}}\nthe molecular formula c13h16n2 (molar mass : 200.279 g/mol) may refer to:\n"}
{"subject": "math:C23H30N2O2", "predicate": "proves", "object": "{{displaytitle:c23h30n2o2}}\nthe molecular formula c23h30n2o2 (molar mass: 366.49 g/mol) may refer to"}
{"subject": "math:C18H25NO2", "predicate": "proves", "object": "{{displaytitle:c18h25no2}}\nthe molecular formula c18h25no2 (molar mass: 287.40 g/mol, exact mass: 28"}
{"subject": "math:C21H25NO2", "predicate": "proves", "object": "{{displaytitle:c21h25no2}}\nthe molecular formula c21h25no2 (molar mass: 323.43 g/mol) may refer to:\n"}
{"subject": "math:C16H25NO", "predicate": "proves", "object": "{{displaytitle:c16h25no}}\nthe molecular formula c16h25no (molar mass: 247.38 g/mol) may refer to:\n\n "}
{"subject": "math:C24H31NO", "predicate": "proves", "object": "{{displaytitle:c24h31no}}\nthe molecular formula c24h31no (molar mass: 349.51 g/mol, exact mass: 349."}
{"subject": "math:C20H25NO", "predicate": "proves", "object": "{{displaytitle:c20h25no}}\nthe molecular formula c20h25no may refer to:\n\n difemetorex, or diphemethox"}
{"subject": "math:C23H31NO2", "predicate": "proves", "object": "the molecular formula c23h31no2 may refer to: \n\n acetylmethadol, also known as methadyl acetate\n alp"}
{"subject": "math:C20H25NO3", "predicate": "proves", "object": "{{displaytitle:c20h25no3}}\nthe molecular formula c20h25no3 (molar mass: 327.42 g/mol) may refer to:\n"}
{"subject": "math:C25H32N2O", "predicate": "proves", "object": "{{displaytitle:c25h32n2o}}\nthe molecular formula c25h32n2o (molar mass: 376.53 g/mol, exact mass: 37"}
{"subject": "math:C23H30N2O", "predicate": "proves", "object": "{{displaytitle:c23h30n2o}}\nthe molecular formula c23h30n2o may refer to:\n\n ad-1211\n butyrfentanyl\n i"}
{"subject": "math:C21H28N2OS", "predicate": "proves", "object": "{{displaytitle:c21h28n2os}}\nthe molecular formula c21h28n2os (molar mass: 356.52 g/mol, exact mass: "}
{"subject": "math:C22H28N2O", "predicate": "proves", "object": "{{displaytitle:c22h28n2o}}\nthe molecular formula c22h28n2o may refer to:\n\n fentanyl\n isofentanyl, or"}
{"subject": "math:C22H27FN2O", "predicate": "proves", "object": "{{displaytitle:c22h27fn2o}}\nthe molecular formula c22h27fn2o (molar mass: 354.46 g/mol) may refer to"}
{"subject": "math:C24H32N2O", "predicate": "proves", "object": "{{displaytitle:c24h32n2o}}\nthe molecular formula c24h32n2o may refer to:\n\n apica (synthetic cannabin"}
{"subject": "math:C20H28N2O5", "predicate": "proves", "object": "{{displaytitle:c20h28n2o5}}\nthe molecular formula c20h28n2o5 (molar mass: 376.447 g/mol, exact mass:"}
{"subject": "math:C22H30N2O2S", "predicate": "proves", "object": "{{displaytitle:c22h30n2o2s}}\nthe molecular formula c22h30n2o2s (molar mass: 386.551 g/mol, exact mas"}
{"subject": "math:C25H35NO4", "predicate": "proves", "object": "{{displaytitle:c25h35no4}}\nthe molecular formula c25h35no4 (molar mass: 413.54 g/mol, exact mass: 41"}
{"subject": "math:C26H35NO4", "predicate": "proves", "object": "{{displaytitle:c26h35no4}}\nthe molecular formula c26h35no4 may refer to:\n\n diprenorphine\n diprotever"}
{"subject": "math:C15H23NO", "predicate": "proves", "object": "{{displaytitle:c15h23no}}\nthe molecular formula c15h23no (molar mass: 233.34 g/mol, exact mass: 233."}
{"subject": "math:C19H24N2O", "predicate": "proves", "object": "{{displaytitle:c19h24n2o}}\nthe molecular formula c19h24n2o (molar mass: 296.41 g/mol) may refer to:\n"}
{"subject": "math:C19H22N2", "predicate": "proves", "object": "{{displaytitle:c19h22n2}}\nthe molecular formula c19h22n2 (molar mass: 278.39 g/mol) may refer to:\n\n "}
{"subject": "math:C15H23NO2", "predicate": "proves", "object": "{{displaytitle:c15h23no2}}\nthe molecular formula c15h23no2 (molar mass: 249.34 g/mol, exact mass: 24"}
{"subject": "math:C33H38N2O", "predicate": "proves", "object": "{{displaytitle:c33h38n2o}}\nthe molecular formula c33h38n2o (molar mass: 478.67 g/mol, exact mass: 47"}
{"subject": "math:C16H25NO2", "predicate": "proves", "object": "{{displaytitle:c16h25no2}}\nthe molecular formula c16h25no2 may refer to:\n\n dendrobine\n desvenlafaxin"}
{"subject": "math:C27H29N5O3", "predicate": "proves", "object": "{{displaytitle:c27h29n5o3}}\nthe molecular formula c27h29n5o3 (molar mass: 471.55 g/mol) may refer to"}
{"subject": "math:C21H25NO3", "predicate": "proves", "object": "{{displaytitle:c21h25no3}}\nthe molecular formula c21h25no3 may refer to:\n\n n-ethyl-3-piperidyl benzi"}
{"subject": "math:C19H23N3O3", "predicate": "proves", "object": "{{displaytitle:c19h23n3o3}}\nthe molecular formula c19h23n3o3 (molar mass: 341.40 g/mol, exact mass: "}
{"subject": "math:2009_Catalan_independence_referendum_in_Arenys_de_", "predicate": "proves", "object": "the arenys de munt query on catalonia independence was a municipal non-binding query promoted by the"}
{"subject": "math:Prema_Racing", "predicate": "proves", "object": "prema racing (also competing as prema powerteam until 2022 and as prema orlen team in the fia world "}
{"subject": "math:Team_Lotus_(2010\u20132011)", "predicate": "proves", "object": "team lotus, originally lotus racing, was a malaysian-licensed formula one racing team and constructo"}
{"subject": "math:Qadbak_Investments", "predicate": "proves", "object": "qadbak investments ltd was a british virgin islands registered company which served as the vehicle f"}
{"subject": "math:C18H16O8", "predicate": "proves", "object": "{{displaytitle:c18h16o8}}\nthe molecular formula c18h16o8 (molar mass : 360.31 g/mol, exact mass : 36"}
{"subject": "math:C20H32O5", "predicate": "proves", "object": "{{displaytitle:c20h32o5}}\nthe molecular formula c20h32o5 (molar mass: 352.465 g/mol) may refer to:\n "}
{"subject": "math:Principles_of_Geometry", "predicate": "proves", "object": "principles of geometry is an electronic music band  from lille, france, which consists of guillaume "}
{"subject": "math:Notional_profit", "predicate": "proves", "object": "notional profit is an estimate of earnings primarily used in the building and construction industry."}
{"subject": "math:L'impermeable", "predicate": "proves", "object": "l'impermeable is the name of the first waterproof watch invented at the end of the 19th century and "}
{"subject": "math:C7H10O3", "predicate": "proves", "object": "{{displaytitle:c7h10o3}}\nthe molecular formula c7h10o3 (molar mass: 142.15 g/mol) may refer to:\n\ngly"}
{"subject": "math:Cover's_theorem", "predicate": "proves", "object": "cover's theorem is a statement in computational learning theory and is one of the primary theoretica"}
{"subject": "math:C20H18O5", "predicate": "proves", "object": "{{displaytitle:c20h18o5}}\nthe molecular formula c20h18o5 (molar mass : 338.35 g/mol, exact mass : 33"}
{"subject": "math:Great_dirhombicosidodecacron", "predicate": "proves", "object": "in geometry, the great dirhombicosidodecacron is a nonconvex isohedral polyhedron. it is the dual of"}
{"subject": "math:Great_pentagrammic_hexecontahedron", "predicate": "proves", "object": "in geometry, the great pentagrammic hexecontahedron (or great dentoid ditriacontahedron) is a noncon"}
{"subject": "math:Great_rhombidodecacron", "predicate": "proves", "object": "in geometry, the great rhombidodecacron (or great dipteral ditriacontahedron) is a nonconvex isohedr"}
{"subject": "math:Small_hexagrammic_hexecontahedron", "predicate": "proves", "object": "in geometry, the small hexagrammic hexecontahedron is a nonconvex isohedral polyhedron. it is the du"}
{"subject": "math:Great_hexagonal_hexecontahedron", "predicate": "proves", "object": "in geometry, the great hexagonal hexecontahedron (or great astroid ditriacontahedron) is a nonconvex"}
{"subject": "math:Great_triakis_icosahedron", "predicate": "proves", "object": "in geometry, the great triakis icosahedron is a nonconvex isohedral polyhedron. it is the dual of th"}
{"subject": "math:Great_disdyakis_dodecahedron", "predicate": "proves", "object": "in geometry, the great disdyakis dodecahedron is a nonconvex isohedral polyhedron. it is the dual of"}
{"subject": "math:Small_icosacronic_hexecontahedron", "predicate": "proves", "object": "in geometry, the small icosacronic hexecontahedron (or small lanceal trisicosahedron) is a nonconvex"}
{"subject": "math:Small_hexagonal_hexecontahedron", "predicate": "proves", "object": "in geometry, the small hexagonal hexecontahedron is a nonconvex isohedral polyhedron. it is the dual"}
{"subject": "math:Great_ditrigonal_dodecacronic_hexecontahedron", "predicate": "proves", "object": "in geometry, the great ditrigonal dodecacronic hexecontahedron (or great lanceal trisicosahedron) is"}
{"subject": "math:Small_ditrigonal_dodecacronic_hexecontahedron", "predicate": "proves", "object": "in geometry, the small ditrigonal dodecacronic hexecontahedron (or fat star) is a nonconvex isohedra"}
{"subject": "math:Medial_icosacronic_hexecontahedron", "predicate": "proves", "object": "in geometry, the medial icosacronic hexecontahedron (or midly sagittal ditriacontahedron) is a nonco"}
{"subject": "math:Medial_hexagonal_hexecontahedron", "predicate": "proves", "object": "in geometry, the medial hexagonal hexecontahedron (or midly dentoid ditriacontahedron) is a nonconve"}
{"subject": "math:Great_pentakis_dodecahedron", "predicate": "proves", "object": "in geometry, the great pentakis dodecahedron is a nonconvex isohedral polyhedron.\n\nit is the dual of"}
{"subject": "math:Medial_disdyakis_triacontahedron", "predicate": "proves", "object": "in geometry, the medial disdyakis triacontahedron is a nonconvex isohedral polyhedron. it is the dua"}
{"subject": "math:Great_dodecacronic_hexecontahedron", "predicate": "proves", "object": "in geometry, the great dodecacronic hexecontahedron (or great lanceal ditriacontahedron) is a noncon"}
{"subject": "math:Minwax", "predicate": "proves", "object": "minwax company is a manufacturer of architectural coatings.\n\nhistory \nminwax was founded in 1904 by "}
{"subject": "math:Renault_Formula_One_crash_controversy", "predicate": "proves", "object": "the renault formula one crash controversy, dubbed crashgate by some in the media, was a sporting sca"}
{"subject": "math:2009_FIVB_Volleyball_Men's_Club_World_Championship", "predicate": "proves", "object": "the 2009 fivb volleyball men's club world championship was the 5th edition of the event. it was held"}
{"subject": "math:C12H16O3", "predicate": "proves", "object": "{{displaytitle:c12h16o3}}\nthe molecular formula c12h16o3 (molar mass : 208.25 g/mol) may refer to: \n"}
{"subject": "math:C12H11N3", "predicate": "proves", "object": "{{displaytitle:c12h11n3}}\nthe molecular formula c12h11n3 (molar mass: 197.24 g/mol, exact mass: 197."}
{"subject": "math:C21H21N", "predicate": "proves", "object": "{{displaytitle:c21h21n}}\nthe molecular formula c21h21n (molar mass : 287.39 g/mol) may refer to :\n c"}
{"subject": "math:C15H12O", "predicate": "proves", "object": "{{displaytitle:c15h12o}}\nthe molecular formula c15h12o (molar mass: 208.26 g/mol, exact mass: 208.08"}
{"subject": "math:C10H7Cl", "predicate": "proves", "object": "{{displaytitle:c10h7cl}}\nthe molecular formula c10h7cl (molar mass: 162.62 g/mol, exact mass: 162.02"}
{"subject": "math:C3H2O3", "predicate": "proves", "object": "{{displaytitle:c3h2o3}}\nthe molecular formula c3h2o3 may refer to:\n\n deltic acid, chemical substance"}
{"subject": "math:C10H10N2", "predicate": "proves", "object": "{{displaytitle:c10h10n2}}\nthe molecular formula c10h10n2 (molar mass: 158.20 g/mol, exact mass: 158."}
{"subject": "math:C12H8O", "predicate": "proves", "object": "{{displaytitle:c12h8o}}\nthe molecular formula c12h8o (molar mass: 178.27 g/mol, exact mass: 178.1358"}
{"subject": "math:C6H3Cl2NO2", "predicate": "proves", "object": "{{displaytitle:c6h3cl2no2}}\nthe molecular formula c6h3cl2no2 (molar mass: 192.01 g/mol) may refer to"}
{"subject": "math:1970_New_Zealand_Grand_Prix", "predicate": "proves", "object": "the 1970 new zealand grand prix was a race held at the pukekohe park raceway on 10 january 1970.  th"}
{"subject": "math:C6H6N4O4", "predicate": "proves", "object": "{{displaytitle:c6h6n4o4}}\nthe molecular formula c6h6n4o4 (molar mass: 198.14 g/mol, exact mass: 198."}
{"subject": "math:C11H12O2", "predicate": "proves", "object": "{{displaytitle:c11h12o2}}\nthe molecular formula c11h12o2 (molar mass: 176.21 g/mol) may refer to:\n\n "}
{"subject": "math:C13H14N2O", "predicate": "proves", "object": "{{displaytitle:c13h14n2o}}\nthe molecular formula c13h14n2o (molar mass: 214.26 g/mol, exact mass: 21"}
{"subject": "math:C9H12N2O3", "predicate": "proves", "object": "{{displaytitle:c9h12n2o3}}\nthe molecular formula c9h12n2o3 (molar mass: 196.20 g/mol) may refer to: "}
{"subject": "math:C18H26O3", "predicate": "proves", "object": "{{displaytitle:c18h26o3}}\nthe molecular formula c18h26o3 (molar mass: 290.40 g/mol) may refer to:\n\n "}
{"subject": "math:C10H15N5", "predicate": "proves", "object": "{{displaytitle:c10h15n5}}\nthe molecular formula c10h15n5 (molar mass: 205.26 g/mol, exact mass: 205."}
{"subject": "math:C9H10N2O", "predicate": "proves", "object": "the molecular formula c9h10n2o (molar mass: 162.19 g/mol, exact mass: 162.0793 u) may refer to:\n\n ph"}
{"subject": "math:C16H16O3", "predicate": "proves", "object": "{{displaytitle:c16h16o3}}\nthe molecular formula c16h16o3 (molar mass: 256.296 g/mol, exact mass: 256"}
{"subject": "math:C6H4O6", "predicate": "proves", "object": "{{displaytitle:c6h4o6}}\nthe molecular formula c6h4o6 (molar mass: 172.09 g/mol, exact mass: 172.0008"}
{"subject": "math:C16H13Cl2NO4", "predicate": "proves", "object": "{{displaytitle:c16h13cl2no4}}\nthe molecular formula c16h13cl2no4 (molar mass: 354.185 g/mol, exact m"}
{"subject": "math:C7H6N2O5", "predicate": "proves", "object": "{{displaytitle:c7h6n2o5}}\nthe molecular formula c7h6n2o5 (molar mass: 198.13 g/mol) may refer to:\n\n "}
{"subject": "math:C13H10N2", "predicate": "proves", "object": "{{displaytitle:c13h10n2}}\nthe molecular formula c13h10n2 may refer to:\n\n aminoacridines\n 2-aminoacri"}
{"subject": "math:C12H11N", "predicate": "proves", "object": "{{displaytitle:c12h11n}}\nthe molecular formula c12h11n (molar mass: 169.22 g/mol) may refer to:\n\n am"}
{"subject": "math:C13H11NO2", "predicate": "proves", "object": "{{displaytitle:c13h11no2}}\nthe molecular formula c13h11no2 (molar mass: 213.232 g/mol, exact mass: 2"}
{"subject": "math:C12H10N2O2", "predicate": "proves", "object": "{{displaytitle:c12h10n2o2}}\nthe molecular formula c12h10n2o2 (molar mass: 214.22 g/mol) may refer to"}
{"subject": "math:C11H13N", "predicate": "proves", "object": "{{displaytitle:c11h13n}}\nthe molecular formula c11h13n (molar mass: 159.228 g/mol) may refer to:\n\n p"}
{"subject": "math:C16H20N2", "predicate": "proves", "object": "{{displaytitle:c16h20n2}}\nthe molecular formula c16h20n2 may refer to:\n\n benzathine\n costaclavin\n da"}
{"subject": "math:C22H25N3O4", "predicate": "proves", "object": "{{displaytitle:c22h25n3o4}}\nthe molecular formula c22h25n3o4 (molar mass: 395.452 g/mol, exact mass:"}
{"subject": "math:\u00c9ric_Salignon", "predicate": "proves", "object": "\u00e9ric salignon (born 22 july 1982 in carpentras) is a french racing driver.\n\ncareer\n\nformula renault "}
{"subject": "math:Chain_rule_(disambiguation)", "predicate": "proves", "object": "chain rule may refer to:\n\n chain rule in calculus:\n\n cyclic chain rule, or triple product rule:\n\n ch"}
{"subject": "math:PARI/GP", "predicate": "proves", "object": "pari/gp is a computer algebra system with the main aim of facilitating number theory computations. v"}
{"subject": "math:George_B._Purdy", "predicate": "proves", "object": "george barry purdy (20 february 1944 \u2013 30 december 2017) was a mathematician and computer scientist "}
{"subject": "math:C20H26N2O2", "predicate": "proves", "object": "{{displaytitle:c20h26n2o2}}\nthe molecular formula c20h26n2o2 (molar mass: 326.4 g/mol) may refer to:"}
{"subject": "math:C9H7NO", "predicate": "proves", "object": "{{displaytitle:c9h7no}}\nthe molecular formula c9h7no (molar mass: 145.16 g/mol, exact mass: 145.0528"}
{"subject": "math:C10H7NO3", "predicate": "proves", "object": "{{displaytitle:c10h7no3}}\nthe molecular formula c10h7no3 (molar mass: 189.168 g/mol) may refer to:\n\n"}
{"subject": "math:C21H28N2O2", "predicate": "proves", "object": "{{displaytitle:c21h28n2o2}}\nthe molecular formula c21h28n2o2 may refer to:\n\n ibogaline, an alkaloid "}
{"subject": "math:C10H7NO4", "predicate": "proves", "object": "{{displaytitle:c10h7no4}}\nthe molecular formula c10h7no4 (molar mass: 205.17 g/mol, exact mass: 205."}
{"subject": "math:C17H17ClN6O3", "predicate": "proves", "object": "{{displaytitle:c17h17cln6o3}}\nthe molecular formula c17h17cln6o3 (molar mass: 388.81 g/mol, exact ma"}
{"subject": "math:C15H15N", "predicate": "proves", "object": "{{displaytitle:c15h15n}}\nthe molecular formula c15h15n (molar mass: 209.28 g/mol, exact mass: 209.12"}
{"subject": "math:List_of_Formula_One_polesitters", "predicate": "proves", "object": "formula one, abbreviated to f1, is the highest class of open-wheeled auto racing defined by the f\u00e9d\u00e9"}
{"subject": "math:C12H12", "predicate": "proves", "object": "{{displaytitle:c12h12}}\n\nthe molecular formula c12h12 may refer to one of many molecules, including:"}
{"subject": "math:C12H17N", "predicate": "proves", "object": "{{displaytitle:c12h17n}}\nthe molecular formula c12h17n (molar mass: 175.27 g/mol) may refer to:\n\n 2-"}
{"subject": "math:C16H15Cl2N", "predicate": "proves", "object": "{{displaytitle:c16h15cl2n}}\nthe molecular formula c16h15cl2n (molar mass: 256.75 g/mol) may refer to"}
{"subject": "math:C14H18FNO2", "predicate": "proves", "object": "{{displaytitle:c14h18fno2}}\nthe molecular formula c14h18fno2 (molar mass: 251.297 g/mol, exact mass:"}
{"subject": "math:C10H11NO2", "predicate": "proves", "object": "{{displaytitle:c10h11no2}}\nthe molecular formula c10h11no2 (molar mass: 177.20 g/mol, exact mass: 17"}
{"subject": "math:C11H13NO2", "predicate": "proves", "object": "{{displaytitle:c11h13no2}}\nthe molecular formula c11h13no2 may refer to:\n\n fenmetramide\n idrocilamid"}
{"subject": "math:C16H21NO2", "predicate": "proves", "object": "the molecular formula c16h21no2 (molar mass: 259.34 g/mol, exact mass: 259.1572 u) may refer to:\n\n n"}
{"subject": "math:C12H13N", "predicate": "proves", "object": "{{displaytitle:c12h13n}}\nthe molecular formula c12h13n (molar mass: 171.24 g/mol, exact mass: 171.10"}
{"subject": "math:C21H24N2O2", "predicate": "proves", "object": "{{displaytitle:c21h24n2o2}}\nthe molecular formula c21h24n2o2 (molar mass: 336.427 g/mol) may refer t"}
{"subject": "math:C20H16", "predicate": "proves", "object": "{{displaytitle:c20h16}}\nthe molecular formula c20h16 (molar mass: 256.34 g/mol) may refer to:\n\n 7,12"}
{"subject": "math:C11H10", "predicate": "proves", "object": "{{displaytitle:c11h10}}\nthe molecular formula c11h10 may refer to:\n\nmethano[10]annulenes\n1,5-methano"}
{"subject": "math:C18H18", "predicate": "proves", "object": "{{displaytitle:c18h18}}\nthe molecular formula c18h18 (molar mass: 234.33 g/mol, exact mass: 234.1409"}
{"subject": "math:C12H14N2O", "predicate": "proves", "object": "{{displaytitle:c12h14n2o}}\nthe molecular formula c12h14n2o (molar mass: 202.25 g/mol, exact mass: 20"}
{"subject": "math:C13H12N2O", "predicate": "proves", "object": "{{displaytitle:c13h12n2o}}\nthe molecular formula c13h12n2o (molar mass: 212.25 g/mol, exact mass: 21"}
{"subject": "math:C18H20N2O3", "predicate": "proves", "object": "{{displaytitle:c18h20n2o3}}\nthe molecular formula c18h20n2o3 (molar mass: 312.36 g/mol) may refer to"}
{"subject": "math:C8H10FN3O3S", "predicate": "proves", "object": "{{displaytitle:c8h10fn3o3s}}\nthe molecular formula c8h10fn3o3s (molar mass: 247.24 g/mol, exact mass"}
{"subject": "math:C8H11N3O3S", "predicate": "proves", "object": "{{displaytitle:c8h11n3o3s}}\nthe molecular formula c8h11n3o3s (molar mass: 229.26 g/mol, exact mass: "}
{"subject": "math:C10H12N4O3", "predicate": "proves", "object": "{{displaytitle:c10h12n4o3}}\nthe molecular formula c10h12n4o3 (molar mass: 236.23 g/mol, exact mass: "}
{"subject": "math:1952_Australian_Grand_Prix", "predicate": "proves", "object": "the 1952 australian grand prix was a formula libre motor race held at the mount panorama circuit nea"}
{"subject": "math:Chapman\u2013Enskog_theory", "predicate": "proves", "object": "chapman\u2013enskog theory provides a framework in which equations of hydrodynamics for a gas can be deri"}
{"subject": "math:Yang_Yilun", "predicate": "proves", "object": "yang yilun (; born may 10, 1951), also spelled yang yi-lun, is a 7 dan professional go player, teach"}
{"subject": "math:C9H10FN3O3", "predicate": "proves", "object": "{{displaytitle:c9h10fn3o3}}\nthe molecular formula c9h10fn3o3 (molar mass: 227.19 g/mol, exact mass: "}
{"subject": "math:C15H14N4O", "predicate": "proves", "object": "{{displaytitle:c15h14n4o}}\nthe molecular formula c15h14n4o (molar mass: 266.30 g/mol, exact mass: 26"}
{"subject": "math:C17H22N2O3", "predicate": "proves", "object": "{{displaytitle:c17h22n2o3}}\nthe molecular formula c17h22n2o3 (molar mass: 302.368 g/mol) may refer t"}
{"subject": "math:Codes_for_electromagnetic_scattering_by_cylinders", "predicate": "proves", "object": "codes for electromagnetic scattering by cylinders \u2013 this article list codes for electromagnetic scat"}
{"subject": "math:Stanley\u2013Reisner_ring", "predicate": "proves", "object": "in mathematics, a stanley\u2013reisner ring, or face ring, is a quotient of a polynomial algebra over a f"}
{"subject": "math:Bromley_equation", "predicate": "proves", "object": "the bromley equation was developed in 1973 by leroy a. bromley with the objective of calculating act"}
{"subject": "math:C10H10O6", "predicate": "proves", "object": "{{displaytitle:c10h10o6}}\nthe molecular formula c10h10o6 (molar mass: 226.18 g/mol, exact mass: 226."}
{"subject": "math:C16H17NO2", "predicate": "proves", "object": "{{displaytitle:c16h17no2}}\nthe molecular formula c16h17no2 (molar mass: 255.312 g/mol, exact mass: 2"}
{"subject": "math:C18H20ClNO2", "predicate": "proves", "object": "{{displaytitle:c18h20clno2}}\nthe molecular formula c18h20clno2 may refer to:\n\n \u03b1-chlorocodide, an op"}
{"subject": "math:C17H17NO2", "predicate": "proves", "object": "{{displaytitle:c17h17no2}}\nthe molecular formula c17h17no2 may refer to:\n\n apomorphine\n asimilobine\n"}
{"subject": "math:C15H13NO3", "predicate": "proves", "object": "{{displaytitle:c15h13no3}} \nthe molecular formula c15h13no3 (molar mass: 255.27 g/mol) may refer to:"}
{"subject": "math:C19H21NO2", "predicate": "proves", "object": "{{displaytitle:c19h21no2}}\nthe molecular formula c19h21no2 (molar mass: 295.37 g/mol) may refer to:\n"}
{"subject": "math:C17H19N5", "predicate": "proves", "object": "{{displaytitle:c17h19n5}}\nthe molecular formula c17h19n5 (molar mass: 293.37 g/mol, exact mass: 293."}
{"subject": "math:C16H18N4O2", "predicate": "proves", "object": "{{displaytitle: c16h18n4o2}}\nthe molecular formula c16h18n4o2 (molar mass: 298.34 g/mol, exact mass:"}
{"subject": "math:C19H23N3O", "predicate": "proves", "object": "{{displaytitle:c19h23n3o}}\nthe molecular formula c19h23n3o (molar mass: 309.40 g/mol, exact mass: 30"}
{"subject": "math:C10H17N3S", "predicate": "proves", "object": "{{displaytitle:c10h17n3s}}\nthe molecular formula c10h17n3s (molar mass: 211.33 g/mol, exact mass: 21"}
{"subject": "math:C18H17NO3", "predicate": "proves", "object": "{{displaytitle:c18h17no3}}\nthe molecular formula c18h17no3 (molar mass: 295.33 g/mol, exact mass: 29"}
{"subject": "math:C18H13ClFN3", "predicate": "proves", "object": "{{displaytitle:c18h13clfn3}}\nthe molecular formula c18h13clfn3 (molar mass: 325.767 g/mol, exact mas"}
{"subject": "math:C12H16N2S", "predicate": "proves", "object": "{{displaytitle:c12h16n2s}}\nthe molecular formula c12h16n2s (molar mass: 220.33 g/mol, exact mass: 22"}
{"subject": "math:C13H16ClNO", "predicate": "proves", "object": "{{displaytitle:c13h16clno}}\nthe molecular formula c13h16clno (molar mass: 237.72 g/mol, exact mass: "}
{"subject": "math:C22H24FN3O2", "predicate": "proves", "object": "{{displaytitle:c22h24fn3o2}}\nthe molecular formula c22h24fn3o2 (molar mass: 381.45 g/mol, exact mass"}
{"subject": "math:C16H22FNO", "predicate": "proves", "object": "{{displaytitle:c16h22fno}}\nthe molecular formula c16h22fno (molar mass: 263.36 g/mol) may refer to:\n"}
{"subject": "math:C10H15N3", "predicate": "proves", "object": "{{displaytitle:c10h15n3}}\nthe molecular formula c10h15n3 (molar mass: 177.25 g/mol, exact mass: 177."}
{"subject": "math:C10H13N3O2", "predicate": "proves", "object": "{{displaytitle:c10h13n3o2}}\nthe molecular formula c10h13n3o2 (molar mass: 207.23 g/mol, exact mass: "}
{"subject": "math:C20H29N5O3", "predicate": "proves", "object": "{{displaytitle:c20h29n5o3}}\nthe molecular formula c20h29n5o3 (molar mass: 387.47 g/mol, exact mass: "}
{"subject": "math:C17H19N3O", "predicate": "proves", "object": "{{displaytitle:c17h19n3o}}\nthe molecular formula c17h19n3o (molar mass: 281.35 g/mol) may refer to:\n"}
{"subject": "math:C22H25ClN2OS", "predicate": "proves", "object": "{{displaytitle:c22h25cln2os}}\n\nthe molecular formula c22h25cln2os (molar mass: 400.96 g/mol) may ref"}
{"subject": "math:C17H16ClN3O", "predicate": "proves", "object": "{{displaytitle:c17h16cln3o}}\nthe molecular formula c17h16cln3o (molar mass: 313.78 g/mol, exact mass"}
{"subject": "math:C18H20N2", "predicate": "proves", "object": "{{displaytitle:c18h20n2}}\nthe molecular formula c18h20n2 (molar mass: 264.36 g/mol, exact mass: 264."}
{"subject": "math:C20H25ClN2O5", "predicate": "proves", "object": "{{displaytitle:c20h25cln2o5}}\nthe molecular formula c20h25cln2o5 (molar mass: 408.87 g/mol) may refe"}
{"subject": "math:C19H21N3O5", "predicate": "proves", "object": "{{displaytitle:c19h21n3o5}}\nthe molecular formula c19h21n3o5 (molar mass: 371.38 g/mol) may refer to"}
{"subject": "math:C18H20N2O6", "predicate": "proves", "object": "{{displaytitle:c18h20n2o6}}\nthe molecular formula c18h20n2o6 (molar mass: 360.36 g/mol, exact mass: "}
{"subject": "math:C6H8S", "predicate": "proves", "object": "{{displaytitle:c6h8s}}\nthe molecular formula c6h8s (molar mass: 112.19 g/mol, exact mass: 112.0347 u"}
{"subject": "math:C18H19ClN4", "predicate": "proves", "object": "{{displaytitle:c18h19cln4}}\nthe molecular formula c18h19cln4 (molar mass: 326.82 g/mol, exact mass: "}
{"subject": "math:C15H23N3O4S", "predicate": "proves", "object": "the molecular formula c15h23n3o4s (molar mass: 341.42 g/mol, exact mass: 341.1409 u) may refer to:\n\n"}
{"subject": "math:C20H26N2O4", "predicate": "proves", "object": "{{displaytitle:c20h26n2o4}}\nthe molecular formula c20h26n2o4 (molar mass: 358.43 g/mol) may refer to"}
{"subject": "math:C15H19NO3", "predicate": "proves", "object": "{{displaytitle:c15h19no3}}\nthe molecular formula c15h19no3 may refer to:\n\n hydroxytropacocaine\n 3',4"}
{"subject": "math:C4H6S", "predicate": "proves", "object": "{{displaytitle:c4h6s}}\nthe molecular formula c4h6s (molar mass: 86.16 g/mol, exact mass: 86.01902 u)"}
{"subject": "math:C23H26FN3O2", "predicate": "proves", "object": "{{displaytitle:c23h26fn3o2}}\nthe molecular formula c23h26fn3o2 (molar mass: 395.470 g/mol, exact mas"}
{"subject": "math:C22H25N3O3", "predicate": "proves", "object": "{{displaytitle:c22h25n3o3}}\nthe molecular formula c22h25n3o3 may refer to:\n niravoline, a chemical c"}
{"subject": "math:C19H19NO4", "predicate": "proves", "object": "{{displaytitle:c19h19no4}}\nthe molecular formula c19h19no4 (molar mass: 325.35 g/mol, exact mass: 32"}
{"subject": "math:C26H38N2O4", "predicate": "proves", "object": "{{displaytitle:c26h38n2o4}}\nthe molecular formula c26h38n2o4 may refer to:\n\n alnespirone, a selectiv"}
{"subject": "math:C23H28ClN5O3", "predicate": "proves", "object": "{{displaytitle:c23h28cln5o3}}\nthe molecular formula c23h28cln5o3 (molar mass: 457.953 g/mol) may ref"}
{"subject": "math:C20H20N2O2", "predicate": "proves", "object": "{{displaytitle:c20h20n2o2}}\nthe molecular formula c20h20n2o2 (molar mass: 320.385 g/mol, exact mass:"}
{"subject": "math:C18H21ClN2", "predicate": "proves", "object": "{{displaytitle:c18h21cln2}}\nthe molecular formula c18h21cln2 may refer to:\n\n chlorcyclizine\n 1-(3-ch"}
{"subject": "math:Aspects_of_the_Theory_of_Syntax", "predicate": "proves", "object": "aspects of the theory of syntax (known in linguistic circles simply as aspects) is a book on linguis"}
{"subject": "math:Chris_Godsil", "predicate": "proves", "object": "christopher david godsil is a professor and the former chair at the department of combinatorics and "}
{"subject": "math:Shoshana_Kamin", "predicate": "proves", "object": "shoshana kamin (, ) (born december 24, 1930), born susanna l'vovna kamenomostskaya (), is a soviet-b"}
{"subject": "math:Robin_Frijns", "predicate": "proves", "object": "robin christiaan maria frijns (born 7 august 1991) is a dutch motor racing driver. he is the 2012 fo"}
{"subject": "math:C12H16N2O2", "predicate": "proves", "object": "{{displaytitle:c12h16n2o2}}\nthe molecular formula c12h16n2o2 (molar mass: 220.27 g/mol) may refer to"}
{"subject": "math:C11H13F3N2", "predicate": "proves", "object": "{{displaytitle:c11h13f3n2}}\nthe molecular formula c11h13f3n2 (molar mass: 230.23 g/mol, exact mass: "}
{"subject": "math:C26H32N2O5", "predicate": "proves", "object": "the molecular formula c26h32n2o5 (molar mass: 452.54 g/mol, exact mass: 452.2311 u) may refer to:\n\n "}
{"subject": "math:C19H28ClN5O", "predicate": "proves", "object": "{{displaytitle:c19h28cln5o}}\nthe molecular formula c19h28cln5o (molar mass: 377.91 g/mol, exact mass"}
{"subject": "math:C19H29N5O2", "predicate": "proves", "object": "the molecular formula c19h29n5o2 (molar mass: 359.46 g/mol, exact mass: 359.2321 u) may refer to:\n\n "}
{"subject": "math:C8H17NO3S", "predicate": "proves", "object": "{{displaytitle:c8h17no3s}}\nthe molecular formula c8h17no3s (molar mass: 207.28 g/mol) may refer to:\n"}
{"subject": "math:C26H28Cl2N4O4", "predicate": "proves", "object": "{{displaytitle:c26h28cl2n4o4}}\nthe molecular formula c26h28cl2n4o4 (molar mass: 531.43 g/mol, exact "}
{"subject": "math:C12H18N2", "predicate": "proves", "object": "{{displaytitle:c12h18n2}}\nthe molecular formula c12h18n2 (molar mass: 190.29 g/mol, exact mass: 190."}
{"subject": "math:Cape_Three_Points", "predicate": "proves", "object": "{\n  \"type\": \"featurecollection\",\n  \"features\": [\n    {\n      \"type\": \"feature\",\n      \"properties\": "}
{"subject": "math:2-Aminopyridine", "predicate": "proves", "object": "2-aminopyridine is an organic compound with the formula h2nc5h4n. it is one of three isomeric aminop"}
{"subject": "math:Flexible_tank", "predicate": "proves", "object": "flexible tanks (also flexi-bags, flexibags and  flexi-tanks) are a kind of storage equipment for liq"}
{"subject": "math:Diffraction_tomography", "predicate": "proves", "object": "diffraction tomography is an inverse scattering technique used to find the shape of a scattering obj"}
{"subject": "math:C15H16O9", "predicate": "proves", "object": "{{displaytitle:c15h16o9}}\nthe molecular formula c15h16o9 (molar mass: 340.28 g/mol, exact mass: 340."}
{"subject": "math:C21H24O6", "predicate": "proves", "object": "{{displaytitle:c21h24o6}}\nthe molecular formula c21h24o6 (molar mass: 372.41 g/mol, exact mass: 372."}
{"subject": "math:C27H34O11", "predicate": "proves", "object": "{{displaytitle:c27h34o11}}\nthe molecular formula c27h34o11 (molar mass: 534.55 g/mol, exact mass: 53"}
{"subject": "math:C19H24O4", "predicate": "proves", "object": "{{displaytitle:c19h24o4}}\nthe molecular formula c19h24o4 (molar mass: 316.39 g/mol, exact mass: 316."}
{"subject": "math:C16H14O4", "predicate": "proves", "object": "{{displaytitle:c16h14o4}}\nthe molecular formula c16h14o4 (molar mss : 270.28 g/mol, exact mass : 270"}
{"subject": "math:C20H22O8", "predicate": "proves", "object": "{{displaytitle:c20h22o8}}\n\nthe molecular formula c20h22o8 (molar mass: 390.38 g/mol, exact mass: 390"}
{"subject": "math:C20H22O6", "predicate": "proves", "object": "{{displaytitle:c20h22o6}}\nthe molecular formula c20h22o6 (molar mass: 358.38 g/mol, exact mass: 358."}
{"subject": "math:C20H28O10", "predicate": "proves", "object": "{{displaytitle:c20h28o10}}\nthe molecular formula c20h28o10 (molar mass: 428.43 g/mol, exact mass: 42"}
{"subject": "math:C23H22O7", "predicate": "proves", "object": "{{displaytitle:c23h22o7}}\nthe molecular formula c23h22o7 (molar mass: 410.41 g/mol, exact mass: 410."}
{"subject": "math:C15H16O5", "predicate": "proves", "object": "{{displaytitle:c15h16o5}}\nthe molecular formula c15h16o5 (molar mass: 276.28 g/mol, exact mass: 276."}
{"subject": "math:C20H21N", "predicate": "proves", "object": "{{displaytitle:c20h21n}}\nthe molecular formula c20h21n (molar mass: 275.38 g/mol, exact mass: 275.16"}
{"subject": "math:C20H31NO", "predicate": "proves", "object": "{{displaytitle: c20h31no}}\nthe molecular formula c20h31no (molar mass: 301.46 g/mol, exact mass: 301"}
{"subject": "math:C18H23NO", "predicate": "proves", "object": "{{displaytitle:c18h23no}}\nthe molecular formula c18h23no (molar mass: 269.38 g/mol, exact mass: 269."}
{"subject": "math:C12H8O4", "predicate": "proves", "object": "{{displaytitle:c12h8o4}}\nthe molecular formula c12h8o4 (molar mass : 216.19 g/mol) may refer to:\n\n b"}
{"subject": "math:C27H40O3", "predicate": "proves", "object": "{{displaytitle:c27h40o3}}\nthe molecular formula c27h40o3 (molar mass: 412.60 g/mol) may refer to:\n\n "}
{"subject": "math:Chilean_Formula_Three_Championship", "predicate": "proves", "object": "the chilean formula three championship is an open-wheel racing series competition in chile. \n\nthe ca"}
{"subject": "math:California_Cooler", "predicate": "proves", "object": "california cooler is a brand of alcoholic beverage. the product is a sangria packaged in a 12 fl. oz"}
{"subject": "math:C12H10N2O", "predicate": "proves", "object": "{{displaytitle:c12h10n2o}}\nthe molecular formula c12h10n2o (molar mass: 198.22 g/mol) may refer to:\n"}
{"subject": "math:C24H31FO5", "predicate": "proves", "object": "{{displaytitle:c24h31fo5}}\nthe molecular formula c24h31fo5 may refer to:\n\n descinolone acetonide, a "}
{"subject": "math:C24H33NO3", "predicate": "proves", "object": "{{displaytitle:c24h33no3}}\nthe molecular formula c24h33no3 (molar mass: 383.52 g/mol, exact mass: 38"}
{"subject": "math:C24H44O6", "predicate": "proves", "object": "{{displaytitle:c24h44o6}}\nthe molecular formula c24h44o6 (molar mass: 428.60 g/mol, exact mass: 428."}
{"subject": "math:C24H48O2", "predicate": "proves", "object": "{{displaytitle:c24h48o2}}\nthe molecular formula c24h48o2 (molar mass: 368.63 g/mol) may refer to:\n\n "}
{"subject": "math:C23H26N2O2", "predicate": "proves", "object": "{{displaytitle:c23h26n2o2}}\nthe molecular formula c23h26n2o2 (molar mass: 362.465 g/mol, exact mass:"}
{"subject": "math:C23H29ClO4", "predicate": "proves", "object": "{{displaytitle:c23h29clo4}}\nthe molecular formula c23h29clo4 (molar mass: 404.93 g/mol, exact mass: "}
{"subject": "math:C23H32N2O3", "predicate": "proves", "object": "{{displaytitle:c23h32n2o3}}\nthe molecular formula c23h32n2o3 (molar mass: 384.512 g/mol, exact mass:"}
{"subject": "math:C25H22ClNO3", "predicate": "proves", "object": "{{displaytitle:c25h22clno3}}\nthe molecular formula c25h22clno3 (molar mass: 419.90 g/mol, exact mass"}
{"subject": "math:C25H28O3", "predicate": "proves", "object": "{{displaytitle:c25h28o3}}\nthe molecular formula c25h28o3 (molar mass: 376.49 g/mol) may refer to:\n\ne"}
{"subject": "math:C26H28ClNO", "predicate": "proves", "object": "{{displaytitle:c26h28clno}}\nthe molecular formula c26h28clno (molar mass: 405.96 g/mol, exact mass: "}
{"subject": "math:2009_Buenos_Aires_Grand_Prix_Race_1", "predicate": "proves", "object": "results from the 2009 buenos aires grand prix held at buenos aires on september 12, 2009, in the aut"}
{"subject": "math:2009_Buenos_Aires_Grand_Prix_Race_2", "predicate": "proves", "object": "results from the 2009 buenos aires grand prix held at buenos aires on september 13, 2009, in the aut"}
{"subject": "math:Jean-\u00c9ric_Vergne", "predicate": "proves", "object": "jean-\u00e9ric serge raymond vergne (; born 25 april 1990), also known as jev, is a french racing driver "}
{"subject": "math:Thiopyrylium", "predicate": "proves", "object": "thiopyrylium is a cation with the chemical formula c5h5s+. it is analogous to the pyrylium cation wi"}
{"subject": "math:Urquhart_graph", "predicate": "proves", "object": "in computational geometry, the urquhart graph of a set of points in the plane, named after roderick "}
{"subject": "math:2-Phenylethyl_bromide", "predicate": "proves", "object": "2-phenylethyl bromide is an organobromide with the formula c6h5ch2ch2br.  it is a colorless liquid, "}
{"subject": "math:Ministry_of_Power_and_Energy", "predicate": "proves", "object": "the ministry of power and energy (; ) is a cabinet ministry of the government of sri lanka responsib"}
{"subject": "math:Walt_Stannard", "predicate": "proves", "object": "walt stannard was the first pitlane commentator for live espn telecasts of formula 1 races in 1987. "}
{"subject": "math:1999_Australian_Formula_Ford_Championship", "predicate": "proves", "object": "the 1999 australian formula ford championship was an australian motor racing competition for formula"}
{"subject": "math:Morphism_of_algebraic_varieties", "predicate": "proves", "object": "in algebraic geometry, a morphism between algebraic varieties is a function between the varieties th"}
{"subject": "math:Js41", "predicate": "proves", "object": "js41 may refer to:\n\nbae jetstream 41, a regional airliner designed by british aerospace\nligier js41,"}
{"subject": "math:C28H31ClN2O3", "predicate": "proves", "object": "{{displaytitle:c28h31cln2o3}}\nthe molecular formula c28h31cln2o3 (molar mass: 479.010 g/mol, exact m"}
{"subject": "math:C28H46O4", "predicate": "proves", "object": "{{displaytitle:c28h46o4}}\nthe molecular formula c28h46o4 (molar mass: 446.66 g/mol, exact mass: 446."}
{"subject": "math:C28H48O", "predicate": "proves", "object": "{{displaytitle:c28h48o}}\nthe molecular formula c28h48o (molar mass: 400.68 g/mol, exact mass: 400.37"}
{"subject": "math:C30H62", "predicate": "proves", "object": "{{displaytitle:c30h62}}\nthe molecular formula c30h62 (molar mass: 422.81 g/mol, exact mass: 422.4852"}
{"subject": "math:C38H30", "predicate": "proves", "object": "{{displaytitle:c38h30}}\nthe molecular formula c38h30 (molar mass: 486.64 g/mol, exact mass: 486.2348"}
{"subject": "math:C40H82", "predicate": "proves", "object": "{{displaytitle:c40h82}}\nthe molecular formula c40h82 may refer to:\n\n lycopane, an alkane isoprenoid\n"}
{"subject": "math:Points_system", "predicate": "proves", "object": "points system may refer to:\n\n point system (driving), where penalty or demerit points are accrued fo"}
{"subject": "math:Truncated_5-simplexes", "predicate": "proves", "object": "in five-dimensional geometry, a truncated 5-simplex is a convex uniform 5-polytope, being a truncati"}
{"subject": "math:Anapaite", "predicate": "proves", "object": "anapaite is a calcium\u2013iron phosphate mineral with formula: ca2fe2+(po4)2\u00b74h2o. it is a mineral that "}
{"subject": "math:Michael_Somos", "predicate": "proves", "object": "michael somos is an american mathematician, who was a visiting scholar in the georgetown university "}
{"subject": "math:C8H18N4O2", "predicate": "proves", "object": "{{displaytitle:c8h18n4o2}}\nthe molecular formula c8h18n4o2 (molar mass: 202.25 g/mol) may refer to:\n"}
{"subject": "math:C17H16O5", "predicate": "proves", "object": "the molecular formula c17h16o5 (molar mass: 300.30 g/mol, exact mass: 300.099773 u) may refer to:\n c"}
{"subject": "math:C17H16O4", "predicate": "proves", "object": "{{displaytitle:c17h16o4}}\n\nthe molecular formula c17h16o4 (exact mass : 284.104859, molar mass : 284"}
{"subject": "math:C18H18O5", "predicate": "proves", "object": "the molecular formula c18h18o5 (molar mass: 314.33 g/mol, exact mass: 314.115424 u) may refer to:\n f"}
{"subject": "math:Benjamin_Fillon", "predicate": "proves", "object": "benjamin fillon (15 march 1819 \u2013 23 may 1881) was a french numismatist and archaeologist. much of hi"}
{"subject": "math:C9H19N", "predicate": "proves", "object": "{{displaytitle:c9h19n}}\nthe molecular formula c9h19n (molar mass: 141.25 g/mol, exact mass: 141.1517"}
{"subject": "math:C30H26O12", "predicate": "proves", "object": "{{displaytitle:c30h26o12}}\nthe molecular formula c30h26o12 may refer to:\n\nseveral b type proanthocya"}
{"subject": "math:Soliton_(disambiguation)", "predicate": "proves", "object": "a soliton is a type of self-reinforcing solitary wave.\n\nsoliton may also refer to:\n\n soliton (optics"}
{"subject": "math:Circular_surface", "predicate": "proves", "object": "in mathematics and, in particular, differential geometry a circular surface is the image of a map \u0192\u00a0"}
{"subject": "math:Cantellated_5-simplexes", "predicate": "proves", "object": "in five-dimensional geometry, a cantellated 5-simplex is a convex uniform 5-polytope, being a cantel"}
{"subject": "math:C10H14N5O7P", "predicate": "proves", "object": "the molecular formula c10h14n5o7p (molar mass: 347.22 g/mol) may refer to:\n\n adenosine monophosphate"}
{"subject": "math:C30H24O12", "predicate": "proves", "object": "{{displaytitle:c30h24o12}}\nthe molecular formula c30h24o12 (molar mass : 576.5 g/mol, exact mass : 5"}
{"subject": "math:Algebra_(singer)", "predicate": "proves", "object": "algebra felicia blessett (born april 9, 1976), usually known as algebra blessett or just algebra, is"}
{"subject": "math:C62H111N11O12", "predicate": "proves", "object": "{{displaytitle:c62h111n11o12}}\nthe molecular formula c62h111n11o12 (molar mass: 1202.611 g/mol, exac"}
{"subject": "math:Staurolemma", "predicate": "proves", "object": "staurolemma is a genus of lichenized fungi in the family pannariaceae. the genus was circumscribed b"}
{"subject": "math:2007_Eurocup_Formula_Renault_2.0", "predicate": "proves", "object": "the 2007 eurocup formula renault 2.0 season was the seventeenth eurocup formula renault 2.0 season. "}
{"subject": "math:Toth", "predicate": "proves", "object": "toth may refer to:\n\nt\u00f3th or toth, a hungarian and german surname\nlazlo toth, a pen name of don novel"}
{"subject": "math:Muco-Inositol", "predicate": "proves", "object": "muco-inositol is a critically important chemical in the gustatory (taste) modality of the mammalian "}
{"subject": "math:Beardmore_Relics", "predicate": "proves", "object": "the beardmore relics are a cache of viking age artifacts, said to have been unearthed near beardmore"}
{"subject": "math:Pulchellidin", "predicate": "proves", "object": "pulchellidin (pl) is an o-methylated anthocyanidin. it is a blue-red plant pigment. it can be found "}
{"subject": "math:C22H23O11", "predicate": "proves", "object": "{{displaytitle:c22h23o11}}\nthe molecular formula c22h23o11, molar mass = 463.41 g/mol (aglycone), ex"}
{"subject": "math:C22H23O12", "predicate": "proves", "object": "{{displaytitle:c22h23o12}}\nthe molecular formula c22h23o12, molar mass: 479.41 g/mol (aglycone), 514"}
{"subject": "math:C7H5NO4", "predicate": "proves", "object": "{{displaytitle:c7h5no4}}\nthe molecular formula c7h5no4 (molar mass: 167.12 g/mol) may refer to:\n\n di"}
{"subject": "math:2007_Copa_Am\u00e9rica_de_Ciclismo", "predicate": "proves", "object": "the seventh edition of the copa am\u00e9rica de ciclismo was held on 7 january 2007 in s\u00e3o paulo, brazil."}
{"subject": "math:2009_Italian_Formula_Three_Championship", "predicate": "proves", "object": "the 2009 italian formula three championship was the 45th italian formula three championship season. "}
{"subject": "math:2004_Copa_Am\u00e9rica_de_Ciclismo", "predicate": "proves", "object": "the fourth edition of the copa am\u00e9rica de ciclismo was held on january 11, 2004 in s\u00e3o paulo, brazil"}
{"subject": "math:Albert_Costa_(racing_driver)", "predicate": "proves", "object": "albert costa balboa (born 2 may 1990 in barcelona) is a spanish racing driver who currently competes"}
{"subject": "math:2002_Copa_Am\u00e9rica_de_Ciclismo", "predicate": "proves", "object": "the second edition of the copa am\u00e9rica de ciclismo was held on sunday, 6 january 2002 in s\u00e3o paulo, "}
{"subject": "math:2001_Copa_Am\u00e9rica_de_Ciclismo", "predicate": "proves", "object": "the first edition of the copa am\u00e9rica de ciclismo was held on sunday 7 january 2001 in s\u00e3o paulo, br"}
{"subject": "math:C12H20O4", "predicate": "proves", "object": "{{displaytitle:c12h20o4}}\nthe molecular formula c12h20o4 (molar mass: 228.28 g/mol, exact mass: 228."}
{"subject": "math:C12H11NO", "predicate": "proves", "object": "{{displaytitle:c12h11no}}\nthe molecular formula c12h11no (molar mass 185.22 g/mol, exact mass: 185.0"}
{"subject": "math:Ring_Knutstorp", "predicate": "proves", "object": "ring knutstorp is a motor racing circuit in k\u00e5ger\u00f6d, sweden. the circuit was built in 1963, extended"}
{"subject": "math:2009_Copa_Am\u00e9rica_de_Ciclismo", "predicate": "proves", "object": "the ninth edition of the copa am\u00e9rica de ciclismo was held on 2009-01-04 in s\u00e3o paulo, brazil. the c"}
{"subject": "math:Algebraic_sentence", "predicate": "proves", "object": "in mathematical logic, an algebraic sentence is one that can be stated using only equations between "}
{"subject": "math:Algebraic_theory", "predicate": "proves", "object": "informally in mathematical logic, an algebraic theory is a theory that uses axioms stated entirely i"}
{"subject": "math:Elementary_sentence", "predicate": "proves", "object": "in mathematical logic, an elementary sentence is one that is stated using only finitary first-order "}
{"subject": "math:Elementary_theory", "predicate": "proves", "object": "in mathematical logic, an elementary theory is a theory that involves axioms using only finitary fir"}
{"subject": "math:Direct_method_in_the_calculus_of_variations", "predicate": "proves", "object": "in mathematics, the direct method in the calculus of variations is a general method for constructing"}
{"subject": "math:1994_Australian_Formula_Ford_Championship", "predicate": "proves", "object": "the 1994 australian formula ford championship was a cams sanctioned motor racing title for drivers o"}
{"subject": "math:Daniel_Zampieri", "predicate": "proves", "object": "daniel zampieri (born 22 may 1990, in rome) is an italian racing driver.\n\ncareer\n\nformula renault\naf"}
{"subject": "math:C15H14O2", "predicate": "proves", "object": "{{displaytitle:c15h14o2}}\nthe molecular formula c15h14o2 (molar mass : 226.27 g/mol, exact mass: 226"}
{"subject": "math:C15H14O5", "predicate": "proves", "object": "{{displaytitle:c15h14o5}}\nthe molecular formula c15h14o5 (molar mass : 274.26 g/mol, exact mass : 27"}
{"subject": "math:Succinaldehyde", "predicate": "proves", "object": "succinaldehyde or succindialdehyde is an organic compound with the formula (ch2cho)2.  typical of ot"}
{"subject": "math:C19H17NO7", "predicate": "proves", "object": "{{displaytitle:c19h17no7}}\nthe molecular formula c19h17no7 (molar mass: 371.341 g/mol, exact mass: 3"}
{"subject": "math:Pert_Plus", "predicate": "proves", "object": "pert plus is an american brand of shampoo and conditioner (or 2-in-1) products. it was introduced in"}
{"subject": "math:Haran's_diamond_theorem", "predicate": "proves", "object": "in mathematics, the haran diamond theorem gives a general sufficient condition for a separable exten"}
{"subject": "math:Tamper-evident_band", "predicate": "proves", "object": "a tamper-evident band or security ring serves as a tamper resistant  or tamper evident function to a"}
{"subject": "math:2010_Chinese_Grand_Prix", "predicate": "proves", "object": "the 2010 chinese grand prix (officially the 2010 formula 1 chinese grand prix) was a formula one mot"}
{"subject": "math:2010_German_Grand_Prix", "predicate": "proves", "object": "the 2010 german grand prix (formally the formula 1 grosser preis santander von deutschland 2010) was"}
{"subject": "math:Proofs_related_to_chi-squared_distribution", "predicate": "proves", "object": "the following are proofs of several characteristics related to the chi-squared distribution.\n\nderiva"}
{"subject": "math:2010_Hungarian_Grand_Prix", "predicate": "proves", "object": "the 2010 hungarian grand prix (formally the formula 1 eni magyar nagyd\u00edj 2010) was the twelfth round"}
{"subject": "math:2010_Belgian_Grand_Prix", "predicate": "proves", "object": "the 2010 belgian grand prix (officially the 2010 formula 1 belgian grand prix) was a formula one mot"}
{"subject": "math:2010_Italian_Grand_Prix", "predicate": "proves", "object": "the 2010 italian grand prix (formally the formula 1 gran premio santander d'italia 2010) was the fou"}
{"subject": "math:2010_Singapore_Grand_Prix", "predicate": "proves", "object": "the 2010 singapore grand prix (formally the 2010 formula 1 singtel singapore grand prix) was a formu"}
{"subject": "math:2010_Japanese_Grand_Prix", "predicate": "proves", "object": "the 2010 japanese grand prix (officially the 2010 formula 1 japanese grand prix) was a formula one m"}
{"subject": "math:2010_Abu_Dhabi_Grand_Prix", "predicate": "proves", "object": "the 2010 abu dhabi grand prix (formally the 2010 formula 1 etihad airways abu dhabi grand prix) was "}
{"subject": "math:2010_Korean_Grand_Prix", "predicate": "proves", "object": "the 2010 korean grand prix (formally the 2010 formula 1 korean grand prix) was a formula one motor r"}
{"subject": "math:2006_Eurocup_Formula_Renault_2.0", "predicate": "proves", "object": "the 2006 eurocup formula renault 2.0 season was the sixteenth eurocup formula renault 2.0 season. th"}
{"subject": "math:C6H7N5O", "predicate": "proves", "object": "{{displaytitle:c6h7n5o}}\nthe molecular formula c6h7n5o (molar mass: 165.15 g/mol, exact mass: 165.06"}
{"subject": "math:Andrew_Tooke", "predicate": "proves", "object": "andrew tooke (1673\u20131732) was an english scholar, headmaster of charterhouse school, gresham professo"}
{"subject": "math:Takashi_Kogure", "predicate": "proves", "object": "is a japanese racing driver. he currently competes in super gt driving the no. 88 lamborghini hurac\u00e1"}
{"subject": "math:S\u00e9bastien_Philippe", "predicate": "proves", "object": "s\u00e9bastien philippe (born 8 february 1975) is a french racing driver. he has competed in such series "}
{"subject": "math:Tsugio_Matsuda", "predicate": "proves", "object": "is a japanese professional racing driver for nissan and nismo in the super gt series, and a team pri"}
{"subject": "math:Graded_manifold", "predicate": "proves", "object": "in algebraic geometry, graded manifolds are extensions of the concept of manifolds based on ideas co"}
{"subject": "math:C3H5NS", "predicate": "proves", "object": "{{displaytitle:c3h5ns}}\nthe molecular formula c3h5ns (molar mass: 87.14 g/mol, exact mass: 87.0143 u"}
{"subject": "math:C9H14N4O3", "predicate": "proves", "object": "{{displaytitle:c9h14n4o3}}\nthe molecular formula c9h14n4o3 (molar mass: 226.24 g/mol, exact mass: 22"}
{"subject": "math:C9H20", "predicate": "proves", "object": "{{displaytitle:c9h20}}\nthe molecular formula c9h20 (molar mass: 128.25 g/mol, exact mass: 128.1565 u"}
{"subject": "math:C9H20O", "predicate": "proves", "object": "{{displaytitle:c9h20o}}\nthe molecular formula c9h20o (molar mass: 144.25 g/mol, exact mass: 144.1514"}
{"subject": "math:October_2009_in_sports", "predicate": "proves", "object": "\n\ndeaths in october\n\n24: bill chadwick\n20: yuri ryazanov\n\ncurrent sporting seasons\n\namerican footbal"}
{"subject": "math:Eben_Alexander_(author)", "predicate": "proves", "object": "eben alexander iii (born december 11, 1953) is an american neurosurgeon and author. his book proof o"}
{"subject": "math:Dihydrochalcone", "predicate": "proves", "object": "dihydrochalcone (dhc) is the organic compound with the formula c6h5c(o)(ch2)2c6h5.  it is the reduce"}
{"subject": "math:C16H14O2", "predicate": "proves", "object": "{{displaytitle:c16h14o2}}\nthe molecular formula c16h14o2 (molar mass: 238.28 g/mol, exact mass: 238."}
{"subject": "math:Localization_theorem", "predicate": "proves", "object": "in mathematics, particularly in integral calculus, the localization theorem allows, under certain co"}
{"subject": "math:2010_GP2_Series", "predicate": "proves", "object": "the 2010 gp2 series season was the forty-fourth season of the second-tier of formula one feeder cham"}
{"subject": "math:Katsuyuki_Hiranaka", "predicate": "proves", "object": "is a japanese race car driver.\n\ncareer\n\nkatsuyuki began karting in 1995 when he was 14, and in 2002 "}
{"subject": "math:Conjugate_diameters", "predicate": "proves", "object": "in geometry, two diameters of a conic section are said to be conjugate if each chord parallel to one"}
{"subject": "math:2010_Brazilian_Grand_Prix", "predicate": "proves", "object": "the 2010 brazilian grand prix (officially the formula 1 grande pr\u00eamio petrobras do brasil 2010) was "}
{"subject": "math:Supergeometry", "predicate": "proves", "object": "supergeometry is differential geometry of modules over graded commutative algebras, supermanifolds a"}
{"subject": "math:Gell-Mann\u2013Okubo_mass_formula", "predicate": "proves", "object": "in physics, the gell-mann\u2013okubo mass formula provides a sum rule for the masses of hadrons within a "}
{"subject": "math:Schoonschip", "predicate": "proves", "object": "schoonschip was one of the first computer algebra systems, developed in 1963 by martinus j. g. veltm"}
{"subject": "math:Cuboid_(disambiguation)", "predicate": "proves", "object": "cuboid may refer to:\n\n cuboid, in geometry a convex polyhedron bounded by six quadrilateral faces, w"}
{"subject": "math:C\u00e9sar_Campani\u00e7o", "predicate": "proves", "object": "c\u00e9sar campani\u00e7o (born 31 march 1980) is a portuguese racing driver.\n\nhe was born in lisbon, and is b"}
{"subject": "math:Vorticity_confinement", "predicate": "proves", "object": "vorticity confinement (vc), a physics-based computational fluid dynamics model analogous to shock ca"}
{"subject": "math:C22H29NO5", "predicate": "proves", "object": "{{displaytitle:c22h29no5}}\nthe molecular formula c22h29no5 (molar mass: 387.47 g/mol) may refer to:\n"}
{"subject": "math:C22H28NO3", "predicate": "proves", "object": "{{displaytitle:c22h28no3}}\n\nthe molecular formula c22h28no3 (c22h28no3+, molar mass: 354.46 g/mol) m"}
{"subject": "math:C21H26NO3", "predicate": "proves", "object": "{{displaytitle:c21h26no3}}\nthe molecular formula c21h26no3 (molar mass: 340.44 g/mol, exact mass: 34"}
{"subject": "math:C20H21N3O", "predicate": "proves", "object": "{{displaytitle:c20h21n3o}}\nthe molecular formula c20h21n3o (molar mass: 319.40 g/mol, exact mass: 31"}
{"subject": "math:C21H29N", "predicate": "proves", "object": "{{displaytitle:c21h29n}}\nthe molecular formula c21h29n (molar mass: 295.46 g/mol, exact mass: 295.23"}
{"subject": "math:C18H23N", "predicate": "proves", "object": "{{displaytitle:c18h23n}}\nthe molecular formula c18h23n (molar mass: 253.38 g/mol, exact mass: 253.18"}
{"subject": "math:Gannex", "predicate": "proves", "object": "gannex is a waterproof fabric composed of an outer layer of nylon and an inner layer of wool with ai"}
{"subject": "math:C21H24O11", "predicate": "proves", "object": "{{displaytitle:c21h24o11}}\nthe molecular formula c21h24o11 (molar mass: 452.41 g/mol, exact mass: 45"}
{"subject": "math:Castelnuovo\u2013Mumford_regularity", "predicate": "proves", "object": "in algebraic geometry, the castelnuovo\u2013mumford regularity of a coherent sheaf f over projective spac"}
{"subject": "math:C6H3N3O6", "predicate": "proves", "object": "{{displaytitle:c6h3n3o6}}\nthe molecular formula c6h3n3o6 (molar mass: 213.10 g/mol, exact mass: 213."}
{"subject": "math:C11H8O2", "predicate": "proves", "object": "{{displaytitle:c11h8o2}}\nthe molecular formula c11h8o2 (molar mass: 172.18 g/mol, exact mass: 172.05"}
{"subject": "math:Gervase_Helwys", "predicate": "proves", "object": "sir gervase helwys (1 september 1561 \u2013 20 november 1615), also known as jervis yelwys, was a lieuten"}
{"subject": "math:1951_Australian_Grand_Prix", "predicate": "proves", "object": "the 1951 australian grand prix was a formula libre motor race held at a street circuit in narrogin, "}
{"subject": "math:Matter_collineation", "predicate": "proves", "object": "a matter collineation (sometimes matter symmetry and abbreviated to mc) is a vector field that satis"}
{"subject": "math:Reid_Motorsport", "predicate": "proves", "object": "reid motorsport is a former british racing team operated by anthony reid, the former team truckie of"}
{"subject": "math:2010_Masters", "predicate": "proves", "object": "2010 masters may refer to:\n 2010 masters tournament, golf\n2010 masters (snooker)\n2010 monte-carlo ro"}
{"subject": "math:2009_Valencia_Formula_Two_round", "predicate": "proves", "object": "the 2009 valencia formula two round was the first round of the 2009 fia formula two championship sea"}
{"subject": "math:Idealizer", "predicate": "proves", "object": "in abstract algebra, the idealizer of a subsemigroup t of a semigroup s is the largest subsemigroup "}
{"subject": "math:Comparison_of_TeX_editors", "predicate": "proves", "object": "the following is a comparison of tex editors.\n\ntable of editors\n\nsee also \n formula editor\n comparis"}
{"subject": "math:C17H24O", "predicate": "proves", "object": "{{displaytitle:c17h24o}}\nthe molecular formula c17h24o (molar mass: 244.37 g/mol, exact mass: 244.18"}
{"subject": "math:Dean_Smith_(racing_driver)", "predicate": "proves", "object": "dean smith (born 22 march 1988 in wolverhampton, west midlands) is a british racing driver, who was "}
{"subject": "math:Pablo_S\u00e1nchez_(racing_driver)", "predicate": "proves", "object": "pablo s\u00e1nchez l\u00f3pez (born february 9, 1990 in mexico city) is a mexican racing driver. he competed i"}
{"subject": "math:Helsinki_Thunder", "predicate": "proves", "object": "helsinki thunder  was a temporary street circuit located in helsinki, finland. the circuit was conce"}
{"subject": "math:Richard_Plant_(racing_driver)", "predicate": "proves", "object": "richard plant (born 16 november 1989 in sheffield, south yorkshire) is a british racing driver. plan"}
{"subject": "math:Bruno_M\u00e9ndez_(racing_driver)", "predicate": "proves", "object": "bruno m\u00e9ndez l\u00f3pez (born 16 april 1990 in la roda, asturias) is a spanish racing driver.\n\ncareer\n\nma"}
{"subject": "math:Nil_Montserrat", "predicate": "proves", "object": "nil montserrat (born 8 december 1988 in barcelona) is a spanish racing driver. he has competed in su"}
{"subject": "math:2009_Japanese_Formula_3_Championship", "predicate": "proves", "object": "the 2009 japanese formula 3 championship was the 31st edition of the japanese formula 3 championship"}
{"subject": "math:Franck_Mailleux", "predicate": "proves", "object": "franck mailleux (born 27 may 1985 in saint-malo, ille-et-vilaine) is a french racing driver. he has "}
{"subject": "math:Jamie_Smyth", "predicate": "proves", "object": "jamie smyth (born 30 june 1976) is a british racing driver, best known for winning the 2007 british "}
{"subject": "math:C15H14O4", "predicate": "proves", "object": "{{displaytitle:c15h14o4}}\nthe molecular formula c15h14o4 may refer to:\n\n o-desmethylangolensin, a ph"}
{"subject": "math:Carlos_Huertas", "predicate": "proves", "object": "carlos huertas (born 22 june 1991) is a colombian racing driver.\n\nracing career\nborn in bogot\u00e1, huer"}
{"subject": "math:Zahir_Ali", "predicate": "proves", "object": "zahir ali (born august 25, 1987 in jakarta) is an indonesian racing driver. he has competed in such "}
{"subject": "math:Tom_Dillmann", "predicate": "proves", "object": "tom aston dillmann (born 6 april 1989 in mulhouse) is a french racing driver who most recently compe"}
{"subject": "math:Stef_Dusseldorp", "predicate": "proves", "object": "stef dusseldorp (born 27 september 1989 in winterswijk, gelderland) is a dutch racing driver.\n\nhe st"}
{"subject": "math:Takuto_Iguchi", "predicate": "proves", "object": "is a japanese racing driver. he has competed in such series as super gt and the all-japan formula th"}
{"subject": "math:Peter_Elkmann", "predicate": "proves", "object": "peter elkmann (born 16 september 1981 in north rhine-westphalia, steinfurt) is a german racing drive"}
{"subject": "math:Recession-proof_job", "predicate": "proves", "object": "a recession-proof job is a job that one is likely to be able to find even during hard economic times"}
{"subject": "math:C4H9Br", "predicate": "proves", "object": "the molecular formula c4h9br, (molar mass: 137.02 g/mol, exact mass: 135.9888 u) may refer to:\n\n 1-b"}
{"subject": "math:Quantum_spacetime", "predicate": "proves", "object": "in mathematical physics, the concept of quantum spacetime is a generalization of the usual concept o"}
{"subject": "math:Quantum_differential_calculus", "predicate": "proves", "object": "in quantum geometry or noncommutative geometry a quantum differential calculus or noncommutative dif"}
{"subject": "math:John_Steinhoff", "predicate": "proves", "object": "john steinhoff (15 september 1942 ) is a classical physicist, best known for his important contribut"}
{"subject": "math:Maximilian_G\u00f6tz", "predicate": "proves", "object": "maximilian g\u00f6tz (born 4 february 1986) is a german racing driver. he has competed in such series as "}
{"subject": "math:Kazuya_Oshima", "predicate": "proves", "object": "is a japanese racing driver, currently racing in the super gt series and the super formula champions"}
{"subject": "math:Andrea_Caldarelli", "predicate": "proves", "object": "andrea caldarelli (born 14 february 1990 in pescara) is an italian racing driver. he has competed in"}
{"subject": "math:Henkie_Waldschmidt", "predicate": "proves", "object": "henkie waldschmidt (also spelled henki, born 28 june 1988 in the hague) is a dutch racing driver. he"}
{"subject": "math:Vladimir_Arabadzhiev", "predicate": "proves", "object": "vladimir \"vlado\" arabadzhiev (, born 16 march 1984 in plovdiv) is a bulgarian racing driver.\n\ncareer"}
{"subject": "math:Adri\u00e1n_Campos_Jr.", "predicate": "proves", "object": "adri\u00e1n campos jr. (born 5 october 1988 in valencia) is a spanish racing driver. he has competed in s"}
{"subject": "math:Jonathan_Legris", "predicate": "proves", "object": "jonathan legris (born 5 november 1987 in bournemouth, dorset) is a british racing driver. he has com"}
{"subject": "math:Universal_differential_equation", "predicate": "proves", "object": "a universal differential equation (ude) is a non-trivial differential algebraic equation with the pr"}
{"subject": "math:C10H8O3", "predicate": "proves", "object": "{{displaytitle:c10h8o3}}\nthe molecular formula c10h8o3 (molar mass: 176.16 g/mol, exact mass: 176.04"}
{"subject": "math:C40H80NO8P", "predicate": "proves", "object": "{{displaytitle:c40h80no8p}}\nthe molecular formula c40h80no8p (molar mass: 734.03 g/mol) may refer to"}
{"subject": "math:C8H10O4", "predicate": "proves", "object": "{{displaytitle:c8h10o4}}\nthe molecular formula c8h10o4 (molar mass: 170.16 g/mol, exact mass: 107.05"}
{"subject": "math:Democracy_Ranking", "predicate": "proves", "object": "the democracy ranking is an index compiled by the association for development and advancement of the"}
{"subject": "math:Schizachyrium", "predicate": "proves", "object": "schizachyrium is a widespread genus of plants in the grass family. the name is derived from the anci"}
{"subject": "math:LISICON", "predicate": "proves", "object": "lisicon is an acronym for lithium super ionic conductor, which refers to a family of solids with the"}
{"subject": "math:Triplasis", "predicate": "proves", "object": "triplasis is a genus of north american plants in the grass family. sandgrass is a common name for pl"}
{"subject": "math:List_of_isotoxal_polyhedra_and_tilings", "predicate": "proves", "object": "in geometry, isotoxal polyhedra and tilings are defined by the property that they have symmetries ta"}
{"subject": "math:Polonium_hydride", "predicate": "proves", "object": "polonium hydride (also known as polonium dihydride, hydrogen polonide, or polane) is a chemical comp"}
{"subject": "math:C18H22O", "predicate": "proves", "object": "{{displaytitle:c18h22o}}\nthe molecular formula c18h22o (molar mass: 254.37 g/mol, exact mass: 254.16"}
{"subject": "math:Benzyl_mercaptan", "predicate": "proves", "object": "benzyl mercaptan is an organosulfur compound with the formula c6h5ch2sh. it is a common laboratory a"}
{"subject": "math:C7H8S", "predicate": "proves", "object": "{{displaytitle:c7h8s}}\nthe molecular formula c7h8s (molar mass: 124.20 g/mol, exact mass: 124.0347 u"}
{"subject": "math:Hooghoudt", "predicate": "proves", "object": "hooghoudt may refer to:\n hooghoudt distillery, in the netherlands\n 6072 hooghoudt, an asteroid\n drai"}
{"subject": "math:C6H10N2O4", "predicate": "proves", "object": "{{displaytitle:c6h10n2o4}}\nthe molecular formula c6h10n2o4 may refer to:\n\n diethyl azodicarboxylate\n"}
{"subject": "math:Drainage_equation", "predicate": "proves", "object": "a drainage equation is an equation describing the relation between depth and spacing of parallel sub"}
{"subject": "math:C16H30O2", "predicate": "proves", "object": "{{displaytitle:c16h30o2}} \nthe molecular formula c16h30o2 (molar mass: 254.40 g/mol, exact mass: 254"}
{"subject": "math:C14H28O2", "predicate": "proves", "object": "{{displaytitle:c14h28o2}}\nthe molecular formula c14h28o2 (molar mass: 228.37 g/mol) may refer to:\n\n "}
{"subject": "math:C20H34O2", "predicate": "proves", "object": "{{displaytitle:c20h34o2}} \nthe molecular formula c20h34o2 may (molar mass : 306.48 g/mol) refer to: "}
{"subject": "math:Hinterberger", "predicate": "proves", "object": "hinterberger is a surname. notable people with the surname include:\n\nernst hinterberger (1931\u20132012),"}
{"subject": "math:Connection_(algebraic_framework)", "predicate": "proves", "object": "geometry of quantum systems (e.g.,\nnoncommutative geometry and supergeometry) is mainly\nphrased in a"}
{"subject": "math:Jean_Sage", "predicate": "proves", "object": "jean sage (c. 1941 \u2013 8 october 2009) was the sporting director at the french formula one team renaul"}
{"subject": "math:Eberhard_Becker", "predicate": "proves", "object": "eberhard becker (born july 23, 1943 in stavenhagen) is a german mathematician whose career was spent"}
{"subject": "math:Buchholz's_ordinal", "predicate": "proves", "object": "in mathematics, \u03c80(\u03c9\u03c9), widely known as buchholz's ordinal, is a large countable ordinal that is use"}
{"subject": "math:Celso_M\u00edguez", "predicate": "proves", "object": "celso m\u00edguez pereira (born 1 may 1982 in pontevedra, galicia) is a spanish racing driver. he has com"}
{"subject": "math:Sun-Yung_Alice_Chang", "predicate": "proves", "object": "sun-yung alice chang (, , ; born 1948) is a taiwanese american mathematician specializing in aspects"}
{"subject": "math:Carbon_tetroxide", "predicate": "proves", "object": "carbon tetroxide or oxygen carbonate (in its c2v isomer) is a highly unstable oxide of carbon with f"}
{"subject": "math:Diplopogon", "predicate": "proves", "object": "diplopogon is a genus of australian plants in the grass family. it was first described in 1810 by ro"}
{"subject": "math:Orcuttia", "predicate": "proves", "object": "orcuttia is a genus of grass in the family poaceae. plants grow up to  tall, usually with many stems"}
{"subject": "math:2,3-Dichloro-5,6-dicyano-1,4-benzoquinone", "predicate": "proves", "object": "2,3-dichloro-5,6-dicyano-1,4-benzoquinone (or ddq) is the chemical reagent with formula c6cl2(cn)2o2"}
{"subject": "math:Holcolemma", "predicate": "proves", "object": "holcolemma is a genus of african, asian, and australian plants in the grass family.\n\n species\n holco"}
{"subject": "math:Doobon_coat", "predicate": "proves", "object": "the doobon coat (hebrew: \u05de\u05e2\u05d9\u05dc \u05d3\u05d5\u05d1\u05d5\u05df | me'eel doobon), also designated the dubon military cold weathe"}
{"subject": "math:Zeunerite", "predicate": "proves", "object": "zeunerite is a green copper uranium arsenate mineral with formula cu(uo2)2(aso4)2\u2022(10-16)h2o. it is "}
{"subject": "math:2008_Italian_Formula_Three_Championship", "predicate": "proves", "object": "the 2008 italian formula three championship was the 44th italian formula three championship season. "}
{"subject": "math:C28H22O6", "predicate": "proves", "object": "{{displaytitle:c28h22o6}}\nthe molecular formula c28h22o6 (molar mass: 454.47 g/mol, exact mass: 454."}
{"subject": "math:Salvatore_Gatto", "predicate": "proves", "object": "salvatore gatto (born 17 may 1984 in termini imerese) is an italian racing driver. he has competed i"}
{"subject": "math:Niall_Breen_(racing_driver)", "predicate": "proves", "object": "niall breen (born 8 may 1986 in dundalk) is an irish racing driver. he has competed in such series a"}
{"subject": "math:Rio_Haryanto", "predicate": "proves", "object": "rio haryanto (born 22 january 1993) is an indonesian businessman and racing driver who last competed"}
{"subject": "math:Will_Stevens", "predicate": "proves", "object": "william jonathan richard stevens (born 28 june 1991) is a british racing driver, who formerly compet"}
{"subject": "math:Euler's_differential_equation", "predicate": "proves", "object": "in mathematics, euler's differential equation is a first-order non-linear ordinary differential equa"}
{"subject": "math:C42H32O9", "predicate": "proves", "object": "{{displaytitle:c42h32o9}}\nthe molecular formula c42h32o9 (molar mass: 680.69 g/mol, exact mass: 680."}
{"subject": "math:Submerged_specific_gravity", "predicate": "proves", "object": "submerged specific gravity is a dimensionless measure of an object's buoyancy when immersed in a flu"}
{"subject": "math:Star_of_David_theorem", "predicate": "proves", "object": "the star of david theorem is a mathematical result on arithmetic properties of binomial coefficients"}
{"subject": "math:Karin_Erdmann", "predicate": "proves", "object": "karin erdmann (born 1948) is a german mathematician specializing in the areas of algebra known as re"}
{"subject": "math:C17H14O5", "predicate": "proves", "object": "{{displaytitle:c17h14o5}}\nthe molecular formula c17h14o5 (molar mass: 298.29 g/mol, exact mass: 298."}
{"subject": "math:C28H40O8", "predicate": "proves", "object": "{{displaytitle:c28h40o8}}\nthe molecular formula c28h40o8 (molar mass: 504.61 g/mol, exact mass: 504."}
{"subject": "math:Logicomix", "predicate": "proves", "object": "logicomix: an epic search for truth is a graphic novel about the foundational quest in mathematics, "}
{"subject": "math:Juan_Carlos_Sistos", "predicate": "proves", "object": "juan carlos sistos is a mexican racing driver. he has competed in such series as euroseries 3000 and"}
{"subject": "math:Francesco_Dracone", "predicate": "proves", "object": "francesco dracone (born 21 september 1983) is an italian racing driver who currently competes in the"}
{"subject": "math:C12H14ClNO2", "predicate": "proves", "object": "{{displaytitle:c12h14clno2}}\nthe molecular formula c12h14clno2 (molar mass: 239.69 g/mol, exact mass"}
{"subject": "math:C2H3NS", "predicate": "proves", "object": "{{displaytitle:c2h3ns}}\nthe molecular formula c2h3ns (molar mass: 73.12 g/mol, exact mass: 72.9986 u"}
{"subject": "math:The_Weekend_(album)", "predicate": "proves", "object": "the weekend is the debut studio album by new zealand group smashproof. it was released on march 23, "}
{"subject": "math:Challan", "predicate": "proves", "object": "challan or chalan is a common hindi word (\u091a\u093e\u0932\u093e\u0928, c\u0101l\u0101n) that has become an indian english technical "}
{"subject": "math:Special_conformal_transformation", "predicate": "proves", "object": "in projective geometry, a special conformal transformation is a linear fractional transformation tha"}
{"subject": "math:Carlos_Mastretta_Aguilera", "predicate": "proves", "object": "carlos mastretta aguilera (born 26 january 1984) is a mexican auto racing driver. his early racing c"}
{"subject": "math:T\u00eate_\u00e0_Toto", "predicate": "proves", "object": "the t\u00eate \u00e0 toto is a french typographical design and children's game, well known to french schoolchi"}
{"subject": "math:C9H10Cl2N4", "predicate": "proves", "object": "{{displaytitle:c9h10cl2n4}}\nthe molecular formula c9h10cl2n4 (molar mass: 245.10 g/mol, exact mass: "}
{"subject": "math:2010_Formula_Renault_3.5_Series", "predicate": "proves", "object": "the 2010 formula renault 3.5 series was the sixth season of the single\u2013seater category. it began at "}
{"subject": "math:C11H16N2O2", "predicate": "proves", "object": "{{displaytitle:c11h16n2o2}}\nthe molecular formula c11h16n2o2 (molar mass: 208.25 g/mol) may refer to"}
{"subject": "math:Royal_Canadian_Mint_numismatic_coins_(2010s)", "predicate": "proves", "object": "\n\ngeneral information\n\nobverse effigy\nunless an obverse design artist is noted, the obverse of all c"}
{"subject": "math:Lanthanum_barium_copper_oxide", "predicate": "proves", "object": "lanthanum barium copper oxide, or lbco, is an inorganic compound with the formula cuba0.15la1.85o4. "}
{"subject": "math:T(1)_theorem", "predicate": "proves", "object": "in mathematics, the t(1) theorem, first proved by , describes when an operator t given by a  kernel "}
{"subject": "math:Tesla_valve", "predicate": "proves", "object": "a tesla valve, called a valvular conduit by its inventor, is a fixed-geometry passive check valve. i"}
{"subject": "math:Mel_Kendrick", "predicate": "proves", "object": "mel kendrick (born july 28, 1949) is an american visual artist and sculptor known primarily for his "}
{"subject": "math:Q-go", "predicate": "proves", "object": "q-go was a privately owned international company that specializes in semantic search saas, based on "}
{"subject": "math:Group-based_cryptography", "predicate": "proves", "object": "group-based cryptography is a use of groups to construct cryptographic primitives.  a group is a ver"}
{"subject": "math:2005_Eurocup_Formula_Renault_2.0", "predicate": "proves", "object": "the 2005 eurocup formula renault 2.0 season was the fifteenth eurocup formula renault 2.0 season. th"}
{"subject": "math:Sketch_recognition", "predicate": "proves", "object": "sketch recognition is the automated recognition of hand-drawn diagrams by a computer.   research in "}
{"subject": "math:Nokomis_3", "predicate": "proves", "object": "\n\nnokomis 3 is a blend of chemicals created by scientists in 1971, specifically formulated to increa"}
{"subject": "math:Robert_Rumely", "predicate": "proves", "object": "robert scott rumely (born 1952) is a professor of mathematics at the university of georgia who speci"}
{"subject": "math:Cyclitol", "predicate": "proves", "object": "in organic chemistry, a cyclitol is a cycloalkane containing at least three hydroxyl, each attached "}
{"subject": "math:C22H24N2O8", "predicate": "proves", "object": "the molecular formula c22h24n2o8 (molar mass: 444.43 g/mol, exact mass: 444.1533 u) may refer to:\n\n "}
{"subject": "math:C41H67NO15", "predicate": "proves", "object": "{{displaytitle:c41h67no15}}\nthe molecular formula c41h67no15 (molar mass: 813.968 g/mol, exact mass:"}
{"subject": "math:C17H25N3O5S", "predicate": "proves", "object": "{{displaytitle:c17h25n3o5s}}\nthe molecular formula c17h25n3o5s (molar mass: 383.46 g/mol, exact mass"}
{"subject": "math:C10H11NO3", "predicate": "proves", "object": "{{displaytitle:c10h11no3}}\nthe molecular formula c10h11no3 (molar mass: 193.20 g/mol, exact mass: 19"}
{"subject": "math:Relay_network", "predicate": "proves", "object": "a relay network is a broad class of network topology commonly used in wireless networks, where the s"}
{"subject": "math:C16H19N3O4S", "predicate": "proves", "object": "{{displaytitle:c16h19n3o4s}}\nthe molecular formula c16h19n3o4s (molar mass : 349.40 g/mol) may refer"}
{"subject": "math:Gather/scatter_(vector_addressing)", "predicate": "proves", "object": "gather/scatter is a type of memory addressing that at once collects (gathers) from, or stores (scatt"}
{"subject": "math:C16H18N2O7S2", "predicate": "proves", "object": "{{displaytitle:c16h18n2o7s2}}\nthe molecular formula c16h18n2o7s2 (molar mass: 414.453 g/mol) may ref"}
{"subject": "math:C17H20N2O5S", "predicate": "proves", "object": "{{displaytitle:c17h20n2o5s}}\nthe molecular formula c17h20n2o5s (molar mass: 364.41 g/mol, exact mass"}
{"subject": "math:C19H18ClN3O5S", "predicate": "proves", "object": "{{displaytitle:c19h18cln3o5s}}\nthe molecular formula c19h18cln3o5s (molar mass: 435.881 g/mol, exact"}
{"subject": "math:2009_Masters_of_Formula_3", "predicate": "proves", "object": "the 2009 tango masters of formula 3 was the nineteenth masters of formula 3 race held at circuit par"}
{"subject": "math:Daniel_Friedrich_Hecht", "predicate": "proves", "object": "daniel friedrich hecht (8 july 1777 \u2013 13 march 1833) was a german mathematician born in sosa. he was"}
{"subject": "math:C6H13O9P", "predicate": "proves", "object": "{{displaytitle:c6h13o9p}}\nthe molecular formula c6h13o9p may refer to:\n\n fructose 1-phosphate\n fruct"}
{"subject": "math:C14H21N3O3S", "predicate": "proves", "object": "{{displaytitle:c14h21n3o3s}}\nthe molecular formula c14h21n3o3s (molar mass: 311.400 g/mol, exact mas"}
{"subject": "math:C19H20N2O3S", "predicate": "proves", "object": "{{displaytitle:c19h20n2o3s}}\nthe molecular formula c19h20n2o3s (molar mass: 356.41 g/mol, exact mass"}
{"subject": "math:Rufus_Bowen", "predicate": "proves", "object": "robert edward \"rufus\" bowen (23 february 1947 \u2013 30 july 1978) was an internationally known professor"}
{"subject": "math:Reuptake_enhancer", "predicate": "proves", "object": "a reuptake enhancer (re), also sometimes referred to as a reuptake activator, is a type of reuptake "}
{"subject": "math:C7H13NO4", "predicate": "proves", "object": "the molecular formula c7h13no4 (molar mass: 175.18 g/mol, exact mass: 175.0845 u) may refer to:\n\n va"}
{"subject": "math:Bulletproof_(Reckless_Kelly_album)", "predicate": "proves", "object": "bulletproof is the fifth studio album by the band reckless kelly. it was released on june 24, 2008. "}
{"subject": "math:\u00c9quipe_Ligier", "predicate": "proves", "object": "\u00e9quipe ligier () is a motorsport team, best known for its formula one team that operated from  to . "}
{"subject": "math:Germylene", "predicate": "proves", "object": "germylenes are a class of germanium(ii) compounds with the general formula :ger2. they are heavier c"}
{"subject": "math:C8H3ClO3", "predicate": "proves", "object": "the molecular formula c8h3clo3 (molar mass: 182.56 g/mol, exact mass: 181.9771 u) may refer to:\n\n 3-"}
{"subject": "math:Balinski's_theorem", "predicate": "proves", "object": "in polyhedral combinatorics, a branch of mathematics, balinski's theorem is a statement about the gr"}
{"subject": "math:C56H44O13", "predicate": "proves", "object": "{{displaytitle:c56h44o13}}\nthe molecular formula c56h44o13 (molar mass: 924.94 g/mol, exact mass: 92"}
{"subject": "math:Tetramer", "predicate": "proves", "object": "a tetramer () (tetra-, \"four\" + -mer, \"parts\") is an oligomer formed from four monomers or subunits."}
{"subject": "math:List_of_Formula_3_Euro_Series_drivers", "predicate": "proves", "object": "this is a list of formula 3 euro series drivers, that is, a list of drivers who have made at least o"}
{"subject": "math:Lyapunov\u2013Malkin_theorem", "predicate": "proves", "object": "the lyapunov\u2013malkin theorem (named for aleksandr lyapunov and ) is a mathematical theorem detailing "}
{"subject": "math:De_Bruijn's_theorem", "predicate": "proves", "object": "in a 1969 paper, dutch mathematician nicolaas govert de bruijn proved several results about packing "}
{"subject": "math:Sinkhorn's_theorem", "predicate": "proves", "object": "sinkhorn's theorem states that every square matrix with positive entries can be written in a certain"}
{"subject": "math:John_Lott_(mathematician)", "predicate": "proves", "object": "john william lott (born january 12, 1959) is a professor of mathematics at the university of califor"}
{"subject": "math:TAPAs_model_checker", "predicate": "proves", "object": "tapas is a tool for specifying and analyzing concurrent systems.  its aim is to support teaching of "}
{"subject": "math:Polymake", "predicate": "proves", "object": "polymake is software for the algorithmic treatment of convex polyhedra.\n\nalbeit primarily a tool to "}
{"subject": "math:C15H21N", "predicate": "proves", "object": "{{displaytitle:c15h21n}}\nthe molecular formula c15h21n (molar mass: 120.15 g/mol) may refer to:\n\n 8a"}
{"subject": "math:Cyclononane", "predicate": "proves", "object": "cyclononane is an alicyclic  hydrocarbon consisting of a ring of nine carbon atoms. its molecular fo"}
{"subject": "math:C9H18", "predicate": "proves", "object": "{{displaytitle:c9h18}}\nthe molecular formula c9h18 (molar mass: 126.24 g/mol, exact mass: 126.1409 u"}
{"subject": "math:Squalane", "predicate": "proves", "object": "squalane is the organic compound with the formula .  a colorless hydrocarbon, it is the hydrogenated"}
{"subject": "math:Xanthydrol", "predicate": "proves", "object": "xanthydrol is an organic chemical compound. its formula is c13h10o2. its total molecular weight is 1"}
{"subject": "math:Continuum_(topology)", "predicate": "proves", "object": "in the mathematical field of point-set topology, a continuum (plural: \"continua\") is a nonempty comp"}
{"subject": "math:C6H4O2", "predicate": "proves", "object": "{{displaytitle:c6h4o2}}\nthe molecular formula c6h4o2 (molar mass: 108.09 g/mol, exact mass: 108.0211"}
{"subject": "math:Protactinium(IV)_oxide", "predicate": "proves", "object": "protactinium(iv) oxide is a chemical compound with the formula pao2. the black oxide is formed by re"}
{"subject": "math:Jenzer_Motorsport", "predicate": "proves", "object": "jenzer motorsport is an auto racing team based in switzerland. founded in 1993 by andreas jenzer the"}
{"subject": "math:C22H26O4", "predicate": "proves", "object": "{{displaytitle:c22h26o4}}\nthe molecular formula c22h26o4 may refer to:\n\n am-1714\n cannabinolic acid "}
{"subject": "math:Aaron_Lim", "predicate": "proves", "object": "aaron lim say joon (born 22 june 1985) is a malaysian racing driver. he was born in selangor, and ha"}
{"subject": "math:Yann_Clairay", "predicate": "proves", "object": "yann clairay (born 2 december 1983 in laval, mayenne) is a french racing driver. he has competed in "}
{"subject": "math:Jean-Christophe_Ravier", "predicate": "proves", "object": "jean-christophe ravier (born 10 april 1979 in avignon) is a french racing driver. he has competed in"}
{"subject": "math:Luigi_Ferrara", "predicate": "proves", "object": "luigi ferrara (born 12 may 1982) is an italian racing driver from bari.\n\ncareer\n\nhe began his career"}
{"subject": "math:Tangent_indicatrix", "predicate": "proves", "object": "in differential geometry, the tangent indicatrix of a closed space curve is a curve on the unit sphe"}
{"subject": "math:Lukashevich", "predicate": "proves", "object": "lukashevich or lukashevych is an east slavic surname (russian: \u043b\u0443\u043a\u0430\u0448\u0435\u0432\u0438\u0447, belarusian: \u043b\u0443\u043a\u0430\u0448\u044d\u0432\u0456\u0447, ukr"}
{"subject": "math:USF2000_Championship", "predicate": "proves", "object": "the usf2000 championship presented by cooper tires is an american racing series using the american v"}
{"subject": "math:2010_FIA_Formula_Two_Championship", "predicate": "proves", "object": "the 2010 fia formula two championship season was the second year of the fia formula two championship"}
{"subject": "math:2010_Formula_BMW_Europe_season", "predicate": "proves", "object": "the 2010 formula bmw europe season was the third and final season of the formula bmw europe champion"}
{"subject": "math:Davies_v_Mann", "predicate": "proves", "object": "davies v. mann, 152 eng. rep. 588 (1882), was an english case that contained the first formulation o"}
{"subject": "math:Titer_Khel", "predicate": "proves", "object": "titer khel is a marwat village on the indus highway in khyber pakhtunkhwa, pakistan.\n\ntopology\ntiter"}
{"subject": "math:C11H13NO", "predicate": "proves", "object": "{{displaytitle:c11h13no}}\nthe molecular formula c11h13no (molar mass: 175.22 g/mol, exact mass: 175."}
{"subject": "math:Extractor", "predicate": "proves", "object": "extractor may refer to:\n\nextractor (firearms)\nextractor (mathematics)\nextractor (screws), a tool use"}
{"subject": "math:ADAC_Formel_Masters", "predicate": "proves", "object": "adac formel masters was an adac sanctioned open wheel racing series based in germany, held annually "}
{"subject": "math:American_Blood", "predicate": "proves", "object": "\"american blood\" is a song by texan red dirt band reckless kelly, for their fifth 2008 studio album,"}
{"subject": "math:Gravitoelectromagnetism", "predicate": "proves", "object": "gravitoelectromagnetism, abbreviated gem, refers to a set of formal analogies between the equations "}
{"subject": "math:RC_Motorsport", "predicate": "proves", "object": "rc motorsport was an auto racing team based in italy.\n\nhistory\n\nsingle-seaters\n\nformer series result"}
{"subject": "math:Tristan_Vautier", "predicate": "proves", "object": "tristan vautier (born 22 august 1989) is a french professional racing driver who is currently compet"}
{"subject": "math:Marco_S\u00f8rensen", "predicate": "proves", "object": "marco lorentz s\u00f8rensen (born 6 september 1990) is a danish racing driver currently racing for aston "}
{"subject": "math:Generatrix", "predicate": "proves", "object": "in geometry, a generatrix () or describent is a point, curve or surface that, when moved along a giv"}
{"subject": "math:Truncation_error_(numerical_integration)", "predicate": "proves", "object": "truncation errors in numerical integration are of two kinds:\n\n local truncation errors \u2013 the error c"}
{"subject": "math:Olry", "predicate": "proves", "object": "olry may refer to:\n\njean-claude olry (born 1949), french slalom canoeist who competed in the late 19"}
{"subject": "math:Toroidal_polyhedron", "predicate": "proves", "object": "in geometry, a toroidal polyhedron is a polyhedron which is also a toroid (a -holed torus), having a"}
{"subject": "math:Bulletproof_(Raheem_DeVaughn_song)", "predicate": "proves", "object": "\"bulletproof\" is a song by american singer raheem devaughn, it is the first single from his third st"}
{"subject": "math:C10H14N5O8P", "predicate": "proves", "object": "{{displaytitle:c10h14n5o8p}}\nthe molecular formula c10h14n5o8p (molar mass: 363.22 g/mol) may refer "}
{"subject": "math:2009_Macau_Grand_Prix", "predicate": "proves", "object": "the 2009 macau grand prix formula three was the 56th macau grand prix race held on the streets of ma"}
{"subject": "math:C815H1317N233O241S5", "predicate": "proves", "object": "{{displaytitle:c815h1317n233o241s5}}\nthe molecular formula c815h1317n233o241s5 (molar mass: 18396.1 "}
{"subject": "math:Hans_Werner_Ballmann", "predicate": "proves", "object": "hans werner ballmann (known as werner ballmann; born 11 april 1951) is a german mathematician. his a"}
{"subject": "math:Formula_Rossa", "predicate": "proves", "object": "formula rossa (arabic: \u0641\u0648\u0631\u0645\u0648\u0644\u0627 \u0631\u0648\u0633\u0627) is a launched roller coaster located at ferrari world in abu dh"}
{"subject": "math:2009_Porsche_Supercup", "predicate": "proves", "object": "the 2009 porsche mobil 1 supercup season was the 17th porsche supercup season. the races were all su"}
{"subject": "math:Barbier", "predicate": "proves", "object": "barbier may refer to:\n\nbarbier (surname)\nbarbier (crater), a feature on the moon\nbarbier reaction, a"}
{"subject": "math:1980_Australian_Drivers'_Championship", "predicate": "proves", "object": "the 1980 australian drivers' championship was a cams sanctioned australian motor racing title for dr"}
{"subject": "math:C20H19NO5", "predicate": "proves", "object": "the molecular formula c20h19no5 (molar mass: 353.37 g/mol, exact mass: 353.1263 u) may refer to:\n\n c"}
{"subject": "math:C20H17NO6", "predicate": "proves", "object": "{{displaytitle:c20h17no6}}\nthe molecular formula c20h17no6 (molar mass: 367.35 g/mol, exact mass: 36"}
{"subject": "math:C21H18NO4", "predicate": "proves", "object": "{{displaytitle:c21h18no4}}\nthe molecular formula c21h18no4 (molar mass: 348.37 g/mol, exact mass: 34"}
{"subject": "math:Formula_Challenge_Japan", "predicate": "proves", "object": "formula challenge japan was an open wheel racing series based in japan. the first season was in 2006"}
{"subject": "math:C15H18O8", "predicate": "proves", "object": "{{displaytitle:c15h18o8}}\nthe molecular formula c15h18o8 (molar mass: 326.29 g/mol, exact mass: 326."}
{"subject": "math:C5H6N2O4", "predicate": "proves", "object": "{{displaytitle:c5h6n2o4}}\nthe molecular formula c5h6n2o4 (molar mass: 158.11 g/mol, exact mass: 158."}
{"subject": "math:Ren\u00e9_Rast", "predicate": "proves", "object": "ren\u00e9 rast (; born 26 october 1986 in minden) is a german professional racing driver and the 2017, 20"}
{"subject": "math:C17H22O2", "predicate": "proves", "object": "{{displaytitle:c17h22o2}}\nthe molecular formula c17h22o2 (molar mass: 258.35 g/mol, exact mass: 258."}
{"subject": "math:C18H19N3O4", "predicate": "proves", "object": "{{displaytitle:c18h19n3o4}}\nthe molecular formula c18h19n3o4 (molar mass: 341.36 g/mol, exact mass: "}
{"subject": "math:Polymorphic_recursion", "predicate": "proves", "object": "in computer science, polymorphic recursion (also referred to as milner\u2013mycroft typability or the mil"}
{"subject": "math:Superstox", "predicate": "proves", "object": "superstox is a type of single seat formula racing, similar to sprint car racing developed in the 196"}
{"subject": "math:Formula_Volkswagen_South_Africa_Championship", "predicate": "proves", "object": "the formula volkswagen south africa championship was an open wheel racing series run by volkswagen a"}
{"subject": "math:1961_Naples_Grand_Prix", "predicate": "proves", "object": "the 19th naples grand prix was a motor race, run to formula one rules, held on 14 may 1961 at posill"}
{"subject": "math:C18H37NO2", "predicate": "proves", "object": "{{displaytitle:c18h37no2}}\nthe molecular formula c18h37no2 (molar mass: 299.49 g/mol) may refer to:\n"}
{"subject": "math:Sinapaldehyde", "predicate": "proves", "object": "sinapaldehyde is an organic compound with the formula ho(ch3o)2c6h2ch=chcho.  it is a derivative of "}
{"subject": "math:C11H12O4", "predicate": "proves", "object": "{{displaytitle:c11h12o4}}\nthe molecular formula c11h12o4 (molar mass: 208.21 g/mol, exact mass: 208."}
{"subject": "math:Mauro_Massironi", "predicate": "proves", "object": "mauro massironi (born 11 november 1979, in vimercate) is an italian racing driver. he has competed i"}
{"subject": "math:Andrea_Belicchi", "predicate": "proves", "object": "andrea belicchi (born 18 december 1976) is an italian professional racing driver. he has competed in"}
{"subject": "math:Oliver_Martini", "predicate": "proves", "object": "oliver martini (born 12 december 1971, in bologna) is an italian racing driver. he has competed in s"}
{"subject": "math:Stefano_Gattuso", "predicate": "proves", "object": "stefano gattuso (; born 3 may 1984 in province of bergamo, sarnico) is an italian racing driver. he "}
{"subject": "math:Laurent_Groppi", "predicate": "proves", "object": "laurent groppi (born 19 january 1983 in haute-savoie, thonon-les-bains) is a french racing driver.\n\n"}
{"subject": "math:Timo_Lienemann", "predicate": "proves", "object": "timo lienemann (born 15 may 1985 in baden-w\u00fcrttemberg, schorndorf) is a german racing driver. he has"}
{"subject": "math:Tim_Sandtler", "predicate": "proves", "object": "tim sandtler (born february 20, 1987 in bochum) is a german racing driver. he has competed in such s"}
{"subject": "math:Rahel_Frey", "predicate": "proves", "object": "rahel frey (born 23 february 1986 in niederbipp, canton of bern) is a swiss audi factory racing driv"}
{"subject": "math:Marco_Wittmann", "predicate": "proves", "object": "marco wittmann (born 24 november 1989) is a german professional racing driver, and bmw motorsport wo"}
{"subject": "math:Christopher_Zanella", "predicate": "proves", "object": "christopher zanella (born 21 october 1989) is a swiss former racing driver.\n\ncareer\n\nformula renault"}
{"subject": "math:Certificate_of_Formula_Compliance", "predicate": "proves", "object": "a certificate of formula compliance (often abbreviated to cofc) is a document used primarily for hea"}
{"subject": "math:Emilio_de_Villota_Jr.", "predicate": "proves", "object": "emilio de villota jr. (born 9 december 1981) is a spanish racing driver, son of former aurora champi"}
{"subject": "math:Juan_Ram\u00f3n_Zapata", "predicate": "proves", "object": "juan ram\u00f3n zapata (born 18 june 1974 in moncada) is a spanish racing driver. he has competed in such"}
{"subject": "math:1962_Naples_Grand_Prix", "predicate": "proves", "object": "the 20th naples grand prix was a motor race, run for cars complying with the formula one rules, held"}
{"subject": "math:1960_British_Saloon_Car_Championship", "predicate": "proves", "object": "the 1960 supatura british saloon car championship was the third season of the championship. this yea"}
{"subject": "math:Kaersutite", "predicate": "proves", "object": "kaersutite is a dark brown to black double chain calcic titanium bearing amphibole mineral with form"}
{"subject": "math:1968_Australian_One_and_a_Half_Litre_Championship", "predicate": "proves", "object": "the 1968 australian one and a half litre championship was a cams sanctioned motor racing title for d"}
{"subject": "math:Anthony_Beltoise", "predicate": "proves", "object": "anthony beltoise (born 21 july 1971, in neuilly-sur-seine) is a french auto racing driver. he is the"}
{"subject": "math:Patrick_Bernhardt", "predicate": "proves", "object": "patrick bernhardt (born october 26, 1971, in wetzlar) is a german auto racing driver.\n\ncareer\nbernha"}
{"subject": "math:Marc_Carol", "predicate": "proves", "object": "marc carol ybarra (born 14 february 1985) is a spanish auto racing driver.\n\ncareer\ncarol competed in"}
{"subject": "math:Frank_Diefenbacher", "predicate": "proves", "object": "frank diefenbacher (born 19 march 1982 in pforzheim) is a german auto racing driver.\n\ncareer\ndiefenb"}
{"subject": "math:Cram_Motorsport", "predicate": "proves", "object": "cram motorsport (formerly known as cram competition) is an auto racing team based in italy.\n\ncram st"}
{"subject": "math:JD_Motorsport", "predicate": "proves", "object": "jd motorsport is an auto racing team based in vespolate, italy that competes in formula single-seate"}
{"subject": "math:Fedosov_manifold", "predicate": "proves", "object": "in mathematics, a fedosov manifold is a symplectic manifold with a compatible torsion-free connectio"}
{"subject": "math:2010_Le_Mans_Series", "predicate": "proves", "object": "the 2010 le mans series was the seventh season of automobile club de l'ouest's le mans series.  it f"}
{"subject": "math:Bruno_Besson", "predicate": "proves", "object": "bruno besson (born 26 september 1979 in st. germain-en-laye) is a french racing driver. he has compe"}
{"subject": "math:Thomas_J\u00e4ger", "predicate": "proves", "object": "thomas j\u00e4ger (born 27 october 1976) is a german professional racing driver.\n\ncareer\nborn in chemnitz"}
{"subject": "math:Formula_Chrysler_Euroseries", "predicate": "proves", "object": "the formula chrysler euroseries was a single-make open-wheel racing series based in europe. it ran o"}
{"subject": "math:2001_Formula_Chrysler_Euroseries", "predicate": "proves", "object": "the 2001 formula chrysler euroseries season was the inaugural and only formula chrysler euroseries s"}
{"subject": "math:Gianluca_de_Lorenzi", "predicate": "proves", "object": "gianluca de lorenzi (born february 21, 1972 in ravenna) is an italian auto racing driver and team ow"}
{"subject": "math:Story_of_Science", "predicate": "proves", "object": "story of science may refer to:\n\nthe story of science: power, proof and passion, 2010 bbc documentary"}
{"subject": "math:Iris_Racing", "predicate": "proves", "object": "iris racing is an auto racing team based in switzerland. it is known under the name iris project in "}
{"subject": "math:N-curve", "predicate": "proves", "object": "we take the functional theoretic algebra c[0,\u00a01] of curves. for each loop \u03b3 at 1, and each positive "}
{"subject": "math:Jos\u00e9_Manuel_P\u00e9rez-Aicart", "predicate": "proves", "object": "jos\u00e9 manuel p\u00e9rez-aicart (born 3 july 1982 in castell\u00f3n) is a spanish racing driver.\n\ncareer\n\nsingle"}
{"subject": "math:Cyrille_Sauvage", "predicate": "proves", "object": "cyrille sauvage (born 16 january 1973 in cannes) is a french racing driver. he has competed in such "}
{"subject": "math:Frank_Kechele", "predicate": "proves", "object": "frank kechele (born 3 september 1986 in n\u00f6rdlingen, bavaria) is a german racing driver. he has compe"}
{"subject": "math:Euclid's_Optics", "predicate": "proves", "object": "optics (), is a work on the geometry of vision written by the greek mathematician euclid around 300 "}
{"subject": "math:Witness_(mathematics)", "predicate": "proves", "object": "in mathematical logic, a witness is a specific value t to be substituted for variable x of an existe"}
{"subject": "math:2001_FIVB_Volleyball_Women's_World_Grand_Champions", "predicate": "proves", "object": "the 2001 fivb women's world grand champions cup was held in saitama and fukuoka, japan from november"}
{"subject": "math:Erling_St\u00f8rmer", "predicate": "proves", "object": "erling st\u00f8rmer (born 2 november 1937) is a norwegian mathematician, who has mostly worked with opera"}
{"subject": "math:Ragni_Piene", "predicate": "proves", "object": "ragni piene (born 18 january 1947, oslo) is a norwegian mathematician, specializing in algebraic geo"}
{"subject": "math:Helge_Holden", "predicate": "proves", "object": "helge holden (born 28 september 1956) is a norwegian mathematician working in the field of different"}
{"subject": "math:Bisphenol_A_diglycidyl_ether", "predicate": "proves", "object": "bisphenol a diglycidyl ether (commonly abbreviated badge or dgeba) is an organic compound and is a l"}
{"subject": "math:Term_(logic)", "predicate": "proves", "object": "in mathematical logic, a term denotes a mathematical object while a formula denotes a mathematical f"}
{"subject": "math:Relative_canonical_model", "predicate": "proves", "object": "in the mathematical field of algebraic geometry, the relative canonical model of a singular variety "}
{"subject": "math:Polo_Villaamil", "predicate": "proves", "object": "polo villaamil (born november 18, 1979 in madrid) is a spanish auto racing driver.\n\ncareer\nafter pre"}
{"subject": "math:Eublemma_minutata", "predicate": "proves", "object": "eublemma minutata, the scarce marbled, is a species of moth of the family erebidae. it can be found "}
{"subject": "math:Office_Open_XML_file_formats", "predicate": "proves", "object": "the office open xml file formats are a set of file formats that can be used to represent electronic "}
{"subject": "math:Intelligent_Home_Control", "predicate": "proves", "object": "intelligent house concept is a building automation system using a star configured topology with wire"}
{"subject": "math:2009_Brno_Formula_Two_round", "predicate": "proves", "object": "the 2009 brno formula two round was the second round of the 2009 fia formula two championship season"}
{"subject": "math:Telluroxide", "predicate": "proves", "object": "a telluroxide is a type of organotellurium compound with the formula r2teo.  these compounds are ana"}
{"subject": "math:2009_Spa_Formula_Two_round", "predicate": "proves", "object": "the 2009 spa formula two round was the third round of the 2009 fia formula two championship season. "}
{"subject": "math:DAMS_GD-01", "predicate": "proves", "object": "the dams gd-01 was an unraced formula one car used by the french motorsport team, driot-arnoux motor"}
{"subject": "math:Van_Amersfoort_Racing", "predicate": "proves", "object": "van amersfoort racing is an auto racing team based in the netherlands. the team currently competes i"}
{"subject": "math:St._Ann's_Federation_Building", "predicate": "proves", "object": "st. ann's federation building is a historic commercial and office building located at hornell in ste"}
{"subject": "math:Williams\u2013Landel\u2013Ferry_equation", "predicate": "proves", "object": "the williams\u2013landel\u2013ferry equation (or wlf equation) is an empirical equation associated with time\u2013t"}
{"subject": "math:Semilinear", "predicate": "proves", "object": "semilinear or semi-linear (literally, \"half linear\") may refer to:\n\nmathematics \n antilinear map, al"}
{"subject": "math:Gr\u00f6tzsch's_theorem", "predicate": "proves", "object": "in the mathematical field of graph theory, gr\u00f6tzsch's theorem is the statement that every triangle-f"}
{"subject": "math:Semilinear_map", "predicate": "proves", "object": "in linear algebra, particularly projective geometry, a semilinear map between vector spaces v and w "}
{"subject": "math:2002_Molson_Indy_Montreal", "predicate": "proves", "object": "the 2002 molson indy montreal was the thirteenth round of the 2002 cart fedex champ car world series"}
{"subject": "math:2009_Brands_Hatch_Formula_Two_round", "predicate": "proves", "object": "the 2009 brands hatch formula two round was the fourth round of the 2009 fia formula two championshi"}
{"subject": "math:CC4", "predicate": "proves", "object": "cc4 may refer to:\n cushioncraft cc4, the first car-sized hovercraft\njuan orlando hern\u00e1ndez , current"}
{"subject": "math:Lush_Life_(Nancy_Wilson_album)", "predicate": "proves", "object": "lush life is a 1967 album by nancy wilson, arranged by billy may, sid feller, and oliver nelson.\n\nin"}
{"subject": "math:C18H22O6", "predicate": "proves", "object": "{{displaytitle:c18h22o6}}\nthe molecular formula c18h22o6 (molar mass: 334.36 g/mol, exact mass: 334."}
{"subject": "math:Minister_of_Finance_and_the_Public_Service", "predicate": "proves", "object": "the minister of finance and the public service is jamaica's chief financial official in charge of fo"}
{"subject": "math:arxiv_2", "predicate": "proves", "object": "in 84 , 258 ( 2000 ) , mateos conjectured that current reversal in a classical deterministic ratchet"}
{"subject": "math:arxiv_26", "predicate": "proves", "object": "we apply the statefinder diagnostic to the torsion cosmology , in which an accounting for the accele"}
{"subject": "math:arxiv_63", "predicate": "proves", "object": "we study a family of double confluent heun equations that are linearizations of nonlinear equations "}
{"subject": "math:arxiv_77", "predicate": "proves", "object": "proposition algebra is based on hoare s conditional connective , which is a ternary connective compa"}
{"subject": "math:arxiv_95", "predicate": "proves", "object": "the complexity of the equation solvability problem is known for nilpotent groups , for not solvable "}
{"subject": "math:arxiv_112", "predicate": "proves", "object": "there is general agreement that the misataquwa equations should describe the motion of a  small body"}
{"subject": "math:arxiv_113", "predicate": "proves", "object": "we derive the schwinger - dyson equations for the @xmath0 yang - mills theory in the maximal abelian"}
{"subject": "math:arxiv_130", "predicate": "proves", "object": "the aim of this paper is to define a chain level refinement of the batalin - vilkovisky ( bv ) algeb"}
{"subject": "math:arxiv_148", "predicate": "proves", "object": "we formulate a general scheme to improve the truncated perturbative expansion in @xmath0 by means of"}
{"subject": "math:arxiv_156", "predicate": "proves", "object": "we describe the fundamental constructions and properties of determinantal probability measures and p"}
{"subject": "math:arxiv_160", "predicate": "proves", "object": "we have developed a new , very efficient numerical scheme to solve the cr diffusion convection equat"}
{"subject": "math:arxiv_165", "predicate": "proves", "object": "given an n - dimensional natural hamiltonian l on a riemannian or pseudo - riemannian manifold , we "}
{"subject": "math:arxiv_169", "predicate": "proves", "object": "the ladder theory , in which the bethe - goldstone equation for the effective potential between two "}
{"subject": "math:arxiv_177", "predicate": "proves", "object": "we present an elementary proof concerning reciprocal transmittances and reflectances . \n the proof i"}
{"subject": "math:arxiv_185", "predicate": "proves", "object": "in this paper we discuss bayesian nonconvex penalization for sparse learning problems . \n we explore"}
{"subject": "math:arxiv_192", "predicate": "proves", "object": "the motion of free nearby test particles relative to a stable equatorial circular geodesic orbit abo"}
{"subject": "math:arxiv_194", "predicate": "proves", "object": "we study a noisy kuramoto - sivashinsky ( ks ) equation which describes unstable surface growth and "}
{"subject": "math:arxiv_207", "predicate": "proves", "object": "based on a recent formulation of the @xmath0parameter of a photonic crystal fiber we provide numeric"}
{"subject": "math:arxiv_211", "predicate": "proves", "object": "we present a method for rejecting competing models from noisy time - course data that does not rely "}
{"subject": "math:arxiv_218", "predicate": "proves", "object": "we show how the standard ( strmer - verlet ) splitting method for differential equations of hamilton"}
{"subject": "math:arxiv_231", "predicate": "proves", "object": "using molecular dynamics based on langevin equations with a coordinate- and velocity - dependent dam"}
{"subject": "math:arxiv_232", "predicate": "proves", "object": "we consider in this paper blow - up solutions of the semilinear wave equation in one space dimension"}
{"subject": "math:arxiv_253", "predicate": "proves", "object": "we study non - adiabatic charge pumping through single - level quantum dots taking into account coul"}
{"subject": "math:arxiv_263", "predicate": "proves", "object": "linear field perturbations of a black hole are described by the green function of the wave equation "}
{"subject": "math:arxiv_275", "predicate": "proves", "object": "the problem of sheath formation in front of a conductive planar plate inserted into the plasma is fo"}
{"subject": "math:arxiv_279", "predicate": "proves", "object": "we construct explicit bps and non - bps solutions of the yang - mills equations on the noncommutativ"}
{"subject": "math:arxiv_285", "predicate": "proves", "object": "the parallel chip - firing game is a periodic automaton on graphs in which vertices `` fire '' chips"}
{"subject": "math:arxiv_296", "predicate": "proves", "object": "an exp - algebraic curve consists of a compact riemann surface @xmath0 together with @xmath1 equival"}
{"subject": "math:arxiv_300", "predicate": "proves", "object": "the paper is an attempt to relate two vast areas of the applicability of the renormalization group ("}
{"subject": "math:arxiv_324", "predicate": "proves", "object": "using the effective potential approach for composite operators , we have formulated a general method"}
{"subject": "math:arxiv_330", "predicate": "proves", "object": "a new framework for formulating reachability problems with competing inputs , nonlinear dynamics and"}
{"subject": "math:arxiv_333", "predicate": "proves", "object": "the manin conjecture is established for a split singular cubic surface in @xmath0 , with singularity"}
{"subject": "math:arxiv_346", "predicate": "proves", "object": "we propose a new notation for the states in some models of quantum gravity , namely 4-valent spin ne"}
{"subject": "math:arxiv_354", "predicate": "proves", "object": "this survey article deals with a delta potential - also known as a point scatterer - on flat 2d and "}
{"subject": "math:arxiv_364", "predicate": "proves", "object": "the three - body energy - dependent effective interaction given by the bloch - horowitz ( bh ) equat"}
{"subject": "math:arxiv_365", "predicate": "proves", "object": "the purpose of this paper is to study the harmonicity of maps to or from para - sasakian manifolds ."}
{"subject": "math:arxiv_385", "predicate": "proves", "object": "@xmath0lie algebras are natural generalisations of lie algebras ( @xmath1 ) and lie superalgebras ( "}
{"subject": "math:arxiv_401", "predicate": "proves", "object": "we give an explicit formula for the cohomology of a right angled artin group with group ring coeffic"}
{"subject": "math:arxiv_408", "predicate": "proves", "object": "this paper studies _ the nash stability _ in hedonic coalition formation games . \n we address the fo"}
{"subject": "math:arxiv_426", "predicate": "proves", "object": "a new , improved split - step backward euler ( ssbe ) method is introduced and analyzed for stochast"}
{"subject": "math:arxiv_438", "predicate": "proves", "object": "salkuyeh proposed the picard - hss iteration method to solve the absolute value equation ( ave ) , w"}
{"subject": "math:arxiv_443", "predicate": "proves", "object": "content delivery success in wireless caching helper networks depends mainly on cache - based channel"}
{"subject": "math:arxiv_455", "predicate": "proves", "object": "mesoscopic hydrodynamic equations are solved to investigate the dynamics of nanodroplets positioned "}
{"subject": "math:arxiv_474", "predicate": "proves", "object": "we explore the spectral properties of the time - dependent maxwell s equations for a plane interface"}
{"subject": "math:arxiv_490", "predicate": "proves", "object": "the main purpose of this article is to extend some of the ideas from schubert calculus to the more g"}
{"subject": "math:arxiv_502", "predicate": "proves", "object": "we discuss the effect of disorder on the coherent propagation of the bound state of two attracting p"}
{"subject": "math:arxiv_504", "predicate": "proves", "object": "based on a lie symmetry analysis , we construct a closed form solution to the kinematic part of the "}
{"subject": "math:arxiv_505", "predicate": "proves", "object": "we study the free path length and the geometric free path length in the model of the periodic two - "}
{"subject": "math:arxiv_523", "predicate": "proves", "object": "recently it was shown that kink baryons and kink - antikink scattering in the massless gross - neveu"}
{"subject": "math:arxiv_524", "predicate": "proves", "object": "-0.0 cm    we present a systematic study of the properties of pure hadronic and hybrid compact stars"}
{"subject": "math:arxiv_537", "predicate": "proves", "object": "motivated by questions about square - free monomial ideals in polynomial rings , in 2010 francisco e"}
{"subject": "math:arxiv_588", "predicate": "proves", "object": "we show that new families of accelerating and almost nondiffracting beams ( solutions ) for maxwell "}
{"subject": "math:arxiv_602", "predicate": "proves", "object": "the effect of rotation on the cooling of neutron stars is investigated . \n the thermal evolution equ"}
{"subject": "math:arxiv_616", "predicate": "proves", "object": "we show how to orient moduli spaces of holomorphic disks with boundary on an exact lagrangian immers"}
{"subject": "math:arxiv_671", "predicate": "proves", "object": "in this thesis we study the geometry of the fixed point set @xmath0 of a smooth mapping @xmath1 on a"}
{"subject": "math:arxiv_681", "predicate": "proves", "object": "we present a new approach of topology biased random walks for undirected networks . \n we focus on a "}
{"subject": "math:arxiv_693", "predicate": "proves", "object": "a unified scheme for quantum measurement processes is formulated on the basis of micro - macro duali"}
{"subject": "math:arxiv_698", "predicate": "proves", "object": "by solving a master equation in the sierpiski lattice and in a planar random - resistor network , we"}
{"subject": "math:arxiv_702", "predicate": "proves", "object": "the spectral function of @xmath0he is extracted from a plane - wave approximation to the @xmath1 rea"}
{"subject": "math:arxiv_715", "predicate": "proves", "object": "the parametrisation of the photon structure function in the low @xmath0 region is formulated . \n it "}
{"subject": "math:arxiv_725", "predicate": "proves", "object": "in 1982 , marshall p. tulin published a report proposing a framework for reducing the equations for "}
{"subject": "math:arxiv_727", "predicate": "proves", "object": "we present a master formula , with applicability conditions , which allows us to automate the resumm"}
{"subject": "math:arxiv_756", "predicate": "proves", "object": "in this paper , we study the dynamics of epidemic processes taking place in adaptive networks of arb"}
{"subject": "math:arxiv_777", "predicate": "proves", "object": "the length spectra of flat three - dimensional dielectric resonators of circular shape were determin"}
{"subject": "math:arxiv_779", "predicate": "proves", "object": "in this paper the four - dimensional ( 4-d ) space - velocity cosmological general relativity of car"}
{"subject": "math:arxiv_780", "predicate": "proves", "object": "we derive an analytical gauge - invariant formula between the polyakov loop @xmath0 and the dirac ei"}
{"subject": "math:arxiv_789", "predicate": "proves", "object": "we consider the derived categories of modules over a certain family @xmath0 ( @xmath1 ) of graded ri"}
{"subject": "math:arxiv_792", "predicate": "proves", "object": "using the mathisson - papapetrou - dixon ( mpd ) equations , we investigate the trajectories of a sp"}
{"subject": "math:arxiv_796", "predicate": "proves", "object": "static properties of a bose - fermi mixture of trapped potassium atoms are studied in terms of coupl"}
{"subject": "math:arxiv_799", "predicate": "proves", "object": "we derive a formula describing the adiabatically pumped charge through an interacting quantum dot wi"}
{"subject": "math:arxiv_818", "predicate": "proves", "object": "bluein this note , we present a natural proof of a recent and surprising result of gregory berkolaik"}
{"subject": "math:arxiv_828", "predicate": "proves", "object": "let @xmath0 be a plane graph and @xmath1 an even subset of its vertices . \n it has been conjectured "}
{"subject": "math:arxiv_854", "predicate": "proves", "object": "we present results from a study of light meson spectra and structure obtained within the framework o"}
{"subject": "math:arxiv_858", "predicate": "proves", "object": "the @xmath0superconformal algebra is a @xmath1 algebra with two free parameters . \n it consists of 3"}
{"subject": "math:arxiv_863", "predicate": "proves", "object": "in this paper , we prove some bmo end - point estimates for some vector - valued multilinear operato"}
{"subject": "math:arxiv_866", "predicate": "proves", "object": "the topological basis associated with birman - wenzl - murakami algebra ( bwma ) is constructed and "}
{"subject": "math:arxiv_876", "predicate": "proves", "object": "in the conventional quantum mechanics ( i.e. , hermitian qm ) the adiabatic theorem for systems subj"}
{"subject": "math:arxiv_877", "predicate": "proves", "object": "we formulate the nonlinear isovector model in a curved background , and calculate the spherically sy"}
{"subject": "math:arxiv_887", "predicate": "proves", "object": "we present results about the effect of the use of a stiffer equation of state , namely the ideal - f"}
{"subject": "math:arxiv_888", "predicate": "proves", "object": "we study the self - gravitational effect on the equation of state ( eos ) of bose and fermi gases in"}
{"subject": "math:arxiv_891", "predicate": "proves", "object": "is it possible to trap a quantum particle in an open geometry ? in this work we deal with the bounda"}
{"subject": "math:arxiv_908", "predicate": "proves", "object": "tropical algebraic geometry is a degeneration of classical geometry which loose the property of uniq"}
{"subject": "math:arxiv_910", "predicate": "proves", "object": "we discuss israel layers collapsing inward from rest at infinity along schwarzschild - lemaitre geod"}
{"subject": "math:arxiv_924", "predicate": "proves", "object": "the construction of the semiclassical trace formula for the resonances with the transverse electric "}
{"subject": "math:arxiv_953", "predicate": "proves", "object": "the dynamical instability of new - born neutron stars is studied by evolving the linearized hydrodyn"}
{"subject": "math:arxiv_964", "predicate": "proves", "object": "the problem of the nonequivalence of the sets of equilibrium points and energy - casimir extremal po"}
{"subject": "math:arxiv_986", "predicate": "proves", "object": "we present a continuum model for the propagation of cracks and fractures in brittle materials . \n th"}
{"subject": "math:arxiv_999", "predicate": "proves", "object": "we generalize thouless bandwidth formula to its @xmath0-th moment . we obtain a closed expression in"}
{"subject": "math:arxiv_1018", "predicate": "proves", "object": "the chemical fokker - planck equation and the corresponding chemical langevin equation are commonly "}
{"subject": "math:arxiv_1032", "predicate": "proves", "object": "by using a tracking quintessence model we obtain that the position of the first doppler peak in the "}
{"subject": "math:arxiv_1033", "predicate": "proves", "object": "a new cosmological model based on the de sitter gauge theory ( dsgt ) is studied in this paper . by "}
{"subject": "math:arxiv_1046", "predicate": "proves", "object": "we reconstruct the equation of state @xmath0 of dark energy ( de ) using a recently released data se"}
{"subject": "math:arxiv_1053", "predicate": "proves", "object": "today , prime numbers attained exceptional situation in the area of numbers theory and cryptography "}
{"subject": "math:arxiv_1074", "predicate": "proves", "object": "assume that we are given a closed chord - generic legendrian submanifold @xmath0 of the contactisati"}
{"subject": "math:arxiv_1110", "predicate": "proves", "object": "we present and discuss a variance - reduced stochastic particle method for simulating the relaxation"}
{"subject": "math:arxiv_1111", "predicate": "proves", "object": "in this work we study thermal leptogenesis using non - equilibrium quantum field theory . starting f"}
{"subject": "math:arxiv_1117", "predicate": "proves", "object": "we develop the canonical formalism for a system of @xmath0 bodies in lineal gravity and obtain exact"}
{"subject": "math:arxiv_1118", "predicate": "proves", "object": "numerical simulations of the incompressible euler equations are performed using the taylor - green v"}
{"subject": "math:arxiv_1119", "predicate": "proves", "object": "the first order equation relating object and image location for a mirror of arbitrary conic - sectio"}
{"subject": "math:arxiv_1126", "predicate": "proves", "object": "within the framework of the operator product expansion ( ope ) and the renormalization group equatio"}
{"subject": "math:arxiv_1137", "predicate": "proves", "object": "we prove that the differential equation @xmath0 has continuous weak periodic solutions and compute t"}
{"subject": "math:arxiv_1143", "predicate": "proves", "object": "can boutet de monvel s algebra on a compact manifold with boundary be obtained as the algebra @xmath"}
{"subject": "math:arxiv_1148", "predicate": "proves", "object": "we study the local flow properties of various materials in a vane - in - cup geometry . \n we use mri"}
{"subject": "math:arxiv_1152", "predicate": "proves", "object": "we explicitly construct a particular real form of the lie algebra @xmath0 in terms of symplectic mat"}
{"subject": "math:arxiv_1154", "predicate": "proves", "object": "a method is presented to obtain the canonical - form solutions of the hfb equation for atomic nuclei"}
{"subject": "math:arxiv_1170", "predicate": "proves", "object": "we prove algebraic analogues of the facts that a curve on a surface with self - intersection number "}
{"subject": "math:arxiv_1171", "predicate": "proves", "object": "for sequences of random backward nested subspaces as occur , say , in dimension reduction for manifo"}
{"subject": "math:arxiv_1199", "predicate": "proves", "object": "we study normed groupoids with dilations and their induced deformations . \n addtoresetfiguresection "}
{"subject": "math:arxiv_1203", "predicate": "proves", "object": "we present a prototypical linear algebra compiler that automatically exploits domain - specific know"}
{"subject": "math:arxiv_1209", "predicate": "proves", "object": "this paper is motivated by brolin s theorem . \n the phenomenon we wish to demonstrate is as follows "}
{"subject": "math:arxiv_1211", "predicate": "proves", "object": "an approximate equation of motion is proposed for screw and edge dislocations , which accounts for r"}
{"subject": "math:arxiv_1216", "predicate": "proves", "object": "this note describes a local scheme to characterize and normalize an axial killing field on a general"}
{"subject": "math:arxiv_1227", "predicate": "proves", "object": "we analyze recent results of su(3 ) lattice qcd calculations with a phenomenological parametrization"}
{"subject": "math:arxiv_1228", "predicate": "proves", "object": "the `` problem of time '' in present physics substantially consists in the fact that a straightforwa"}
{"subject": "math:arxiv_1238", "predicate": "proves", "object": "a subset of a metric space is a _ @xmath0-distance set _ if there are exactly @xmath0 non - zero dis"}
{"subject": "math:arxiv_1261", "predicate": "proves", "object": "we propose a graphic method to derive the classical algebra ( dirac brackets ) of non - local conser"}
{"subject": "math:arxiv_1271", "predicate": "proves", "object": "in a recent paper @xcite miro - roig , mezzetti and ottaviani highlight the link between rational va"}
{"subject": "math:arxiv_1276", "predicate": "proves", "object": "in this chapter i discuss some applications of string topology to the study of lagrangian embeddings"}
{"subject": "math:arxiv_1281", "predicate": "proves", "object": "let @xmath0 be a set of @xmath1 points in @xmath2 . \n we present a linear - size data structure for "}
{"subject": "math:arxiv_1289", "predicate": "proves", "object": "the solution of qcd equations for generating functions of multiplicity distributions reveals new pec"}
{"subject": "math:arxiv_1294", "predicate": "proves", "object": "we study the equation of state of kaon - condensed matter including the effects of temperature and t"}
{"subject": "math:arxiv_1312", "predicate": "proves", "object": "in this work we define and study the relations between lorentzian manifolds given by the diffeomorph"}
{"subject": "math:arxiv_1321", "predicate": "proves", "object": "the problem of soliton - soliton force is revisited . from the exact two solitons solution of a nona"}
{"subject": "math:arxiv_1326", "predicate": "proves", "object": "we present the cxocy j220132.8 - 320144 system , which is composed of an edge - on spiral galaxy at "}
{"subject": "math:arxiv_1346", "predicate": "proves", "object": "we discuss how to formulate dirac fermion operator on a finite lattice such that it can provide a no"}
{"subject": "math:arxiv_1350", "predicate": "proves", "object": "the dynamics of the second order rational difference equation @xmath0 with complex parameters and ar"}
{"subject": "math:arxiv_1395", "predicate": "proves", "object": "we discuss how embeddings in connection with the campbell - magaard ( cm ) theorem can have a physic"}
{"subject": "math:arxiv_1421", "predicate": "proves", "object": "we construct one soliton solutions for the nonlinear schrdinger equation with variable quadratic ham"}
{"subject": "math:arxiv_1447", "predicate": "proves", "object": "in this note , we solve the loewner equation in the upper half - plane with forcing function  @xmath"}
{"subject": "math:arxiv_1450", "predicate": "proves", "object": "we present a model of a qubit built of a three coherently coupled quantum dots with three spins in a"}
{"subject": "math:arxiv_1475", "predicate": "proves", "object": "in classical information theory , entropy rate and algorithmic complexity per symbol are related by "}
{"subject": "math:arxiv_1483", "predicate": "proves", "object": "in this paper , we show a `` proof of concept '' of the heating mechanism of the solar chromosphere "}
{"subject": "math:arxiv_1519", "predicate": "proves", "object": "we propose a new formulation of optimal and local control algorithms which enforces the constraint o"}
{"subject": "math:arxiv_1581", "predicate": "proves", "object": "thermodynamic stability of black holes , described by the rnyi formula as equilibrium compatible ent"}
{"subject": "math:arxiv_1586", "predicate": "proves", "object": "we derive the time - evolution equation that describes the brownian motion of labeled individual tra"}
{"subject": "math:arxiv_1587", "predicate": "proves", "object": "the liquid droplet formula is applied to an analysis of the properties of geometrical ( anti)cluster"}
{"subject": "math:arxiv_1637", "predicate": "proves", "object": "we present a systematic study of asymptotic behavior of ( generalised ) @xmath0functions and heat ke"}
{"subject": "math:arxiv_1638", "predicate": "proves", "object": "we examine the lattice boundary formulation of chiral fermions with either an explicit majorana mass"}
{"subject": "math:arxiv_1642", "predicate": "proves", "object": "we derive critical field @xmath0 equations for antiferromagnetic _ s_-wave , @xmath1-wave , and @xma"}
{"subject": "math:arxiv_1648", "predicate": "proves", "object": "we study statistics of first passage inside a cone in arbitrary spatial dimension . \n the probabilit"}
{"subject": "math:arxiv_1649", "predicate": "proves", "object": "in this paper we describe the behavior of solutions of the klein - gordon equation , @xmath0 , on lo"}
{"subject": "math:arxiv_1657", "predicate": "proves", "object": "spin - superflow turbulence ( sst ) in spin-1 ferromagnetic spinor bose - einstein condensates is th"}
{"subject": "math:arxiv_1664", "predicate": "proves", "object": "the modest extinction and reasonably face - on viewing geometry make the luminous infrared galaxy ng"}
{"subject": "math:arxiv_1712", "predicate": "proves", "object": "we show that universality arguments , namely the svetitsky  yaffe conjecture , allow one to obtain e"}
{"subject": "math:arxiv_1733", "predicate": "proves", "object": "we generalize the classic bonnor - ebert stability analysis of pressure - truncated , self - gravita"}
{"subject": "math:arxiv_1756", "predicate": "proves", "object": "we establish the equivalence between the family of uniformly regular riemannian manifolds without bo"}
{"subject": "math:arxiv_1772", "predicate": "proves", "object": "we propose a novel technique for analyzing the long - time asymptotics of integrable wave equations "}
{"subject": "math:arxiv_1777", "predicate": "proves", "object": "using recent observational constraints on cosmological density parameters , together with recent mat"}
{"subject": "math:arxiv_1781", "predicate": "proves", "object": "recent researches on the solution of schwinger - dyson equations , as well as lattice simulations of"}
{"subject": "math:arxiv_1790", "predicate": "proves", "object": "the thermodynamic bethe ansatz ( tba ) and the excited state tba equations for an integrable spin ch"}
{"subject": "math:arxiv_1794", "predicate": "proves", "object": "using the well - known `` displace , cut and reflect '' method used to generate disks from given sol"}
{"subject": "math:arxiv_1797", "predicate": "proves", "object": "homology theories for associative algebraic structures are well established and have been studied fo"}
{"subject": "math:arxiv_1809", "predicate": "proves", "object": "we discuss two different models for the impact parameter dependent dipole cross section : one based "}
{"subject": "math:arxiv_1830", "predicate": "proves", "object": "trigonometric formulas are derived for certain families of associated legendre functions of fraction"}
{"subject": "math:arxiv_1839", "predicate": "proves", "object": "in these lectures i discuss the linearization theorem for lie groupoids , and its relation to the va"}
{"subject": "math:arxiv_1841", "predicate": "proves", "object": "the paper is devoted to the spectral analysis of effective preconditioners for linear systems obtain"}
{"subject": "math:arxiv_1843", "predicate": "proves", "object": "we study the evolution of the cosmological parameters , namely , the deceleration parameter @xmath0 "}
{"subject": "math:arxiv_1847", "predicate": "proves", "object": "we review a recent asymptotic weak noise approach to the kardar - parisi - zhang equation for the ki"}
{"subject": "math:arxiv_1850", "predicate": "proves", "object": "we consider least energy solutions to the nonlinear equation @xmath0 posed on a class of riemannian "}
{"subject": "math:arxiv_1863", "predicate": "proves", "object": "fix an integer @xmath0 and let @xmath1 be the pseudo - process driven by the high - order heat - typ"}
{"subject": "math:arxiv_1874", "predicate": "proves", "object": "we provide a squeeze - like transformation that allows one to remove a position dependent mass from "}
{"subject": "math:arxiv_1884", "predicate": "proves", "object": "a higher dimensional frame formalism is developed in order to study implications of the bianchi iden"}
{"subject": "math:arxiv_1888", "predicate": "proves", "object": "in this paper we use floer homology to prove existence of solutions of a generalized abelian higgs e"}
{"subject": "math:arxiv_1905", "predicate": "proves", "object": "we study the quantum deformation of the barrett - crane lorentzian spin foam model which is conjectu"}
{"subject": "math:arxiv_1908", "predicate": "proves", "object": "we show that two dehn surgeries on a knot @xmath0 never yield manifolds that are homeomorphic as ori"}
{"subject": "math:arxiv_1914", "predicate": "proves", "object": "we investigate the so - called persistence problem of sloane , exploiting connections with the dynam"}
{"subject": "math:arxiv_1935", "predicate": "proves", "object": "this paper deals with the numerical computations of two space dimensional time dependent _ parabolic"}
{"subject": "math:arxiv_1947", "predicate": "proves", "object": "we consider d - branes on an orbifold @xmath0 and investigate the moduli space of the d - brane worl"}
{"subject": "math:arxiv_1962", "predicate": "proves", "object": "we describe the hopf algebraic structure of feynman graphs for non - abelian gauge theories , and pr"}
{"subject": "math:arxiv_1970", "predicate": "proves", "object": "we theoretically study the phenomenon of self - propulsion through casimir forces in thermal non - e"}
{"subject": "math:arxiv_1972", "predicate": "proves", "object": "in a previous paper , sarkar and the third author gave a combinatorial description of the hat versio"}
{"subject": "math:arxiv_1987", "predicate": "proves", "object": "we address the problem of constructing the non - associative version of the dynkin form of the baker"}
{"subject": "math:arxiv_1990", "predicate": "proves", "object": "the present study deals with the exact solutions of the einstein s field equations with variable gra"}
{"subject": "math:arxiv_1995", "predicate": "proves", "object": "in a class of multidimensional models , topology of the thick brane provides three chiral fermionic "}
{"subject": "math:arxiv_2001", "predicate": "proves", "object": "lipshitz , ozsvth and thurston defined a bordered heegaard floer invariant @xmath0 for 3-manifolds w"}
{"subject": "math:arxiv_2008", "predicate": "proves", "object": "we present a new derivation of the proof for the tcp / cpt theorem using the dynamical principle and"}
{"subject": "math:arxiv_2013", "predicate": "proves", "object": "following the idea of galois - type extensions and entwining structures , we define the notion of a "}
{"subject": "math:arxiv_2027", "predicate": "proves", "object": "we compute q - holonomic formulas for the homfly polynomials of 2-bridge links colored with one - co"}
{"subject": "math:arxiv_2035", "predicate": "proves", "object": "we discuss some 3d numerical simulations of accretion discs using the sph method and a polytropic eq"}
{"subject": "math:arxiv_2041", "predicate": "proves", "object": "the metallic surface states of a topological insulator support helical dirac fermions protected by t"}
{"subject": "math:arxiv_2042", "predicate": "proves", "object": "a novel class of einstein vacua is presented , which possess non - vanishing cosmological constant a"}
{"subject": "math:arxiv_2043", "predicate": "proves", "object": "the topology of configuration space may be responsible in part for the existence of sphalerons . her"}
{"subject": "math:arxiv_2055", "predicate": "proves", "object": "we extend the theory of the universal @xmath0-invariant to the case of bordism groups of manifolds w"}
{"subject": "math:arxiv_2063", "predicate": "proves", "object": "existence of self - similar , superposed pulse - train solutions of the nonlinear , coupled maxwell "}
{"subject": "math:arxiv_2068", "predicate": "proves", "object": "starting from the central density slope \n anisotropy theorem of an & evans @xcite , recent investiga"}
{"subject": "math:arxiv_2078", "predicate": "proves", "object": "we obtain general formulae for the plus- and cross- polarized waveforms of gravitational radiation e"}
{"subject": "math:arxiv_2095", "predicate": "proves", "object": "on the basis of the deformed series in quantum calculus , we generalize the partition function and t"}
{"subject": "math:arxiv_2103", "predicate": "proves", "object": "we perform a von neumann stability analysis on a common discretization of the einstein equations . \n"}
{"subject": "math:arxiv_2110", "predicate": "proves", "object": "we analyze some exact and approximate solutions to nonlinear equations for heat transfer models . \n "}
{"subject": "math:arxiv_2117", "predicate": "proves", "object": "the effect of a change of noise amplitudes in overdamped diffusive systems is linked to their unpert"}
{"subject": "math:arxiv_2122", "predicate": "proves", "object": "an overview of the basic results on macdonald - koornwinder polynomials and double affine hecke alge"}
{"subject": "math:arxiv_2144", "predicate": "proves", "object": "let @xmath0 be a nilpotent endomorphism of a finite dimensional @xmath1-vector space . \n the set @xm"}
{"subject": "math:arxiv_2155", "predicate": "proves", "object": "we generalize the asymptotic shape theorem in first passage percolation on @xmath0 to cover the case"}
{"subject": "math:arxiv_2156", "predicate": "proves", "object": "we study the stability of static black holes in lovelock theory which is a natural higher dimensiona"}
{"subject": "math:arxiv_2160", "predicate": "proves", "object": "this note introduces the construction of relational symplectic groupoids as a way to integrate every"}
{"subject": "math:arxiv_2165", "predicate": "proves", "object": "this article is devoted to the analysis of a monte - carlo method to approximate effective coefficie"}
{"subject": "math:arxiv_2182", "predicate": "proves", "object": "we show that the riccati form of the one - dimensional schrdinger equation can be reformulated in te"}
{"subject": "math:arxiv_2191", "predicate": "proves", "object": "laboratory experiments sensitive to the density dependence of the symmetry energy may place stringen"}
{"subject": "math:arxiv_2206", "predicate": "proves", "object": "according to a theorem of s. schumacher and t. brox , for a diffusion @xmath0 in a brownian environm"}
{"subject": "math:arxiv_2215", "predicate": "proves", "object": "in this work , we modify the superparamagnetic clustering algorithm ( spc ) by adding an extra weigh"}
{"subject": "math:arxiv_2218", "predicate": "proves", "object": "there have been great efforts on the development of higher - order numerical schemes for compressibl"}
{"subject": "math:arxiv_2233", "predicate": "proves", "object": "theoretical models and rate equations relevant to the soai reaction are reviewed . \n it is found tha"}
{"subject": "math:arxiv_2237", "predicate": "proves", "object": "we solve the recombination equation by taking into account the induced recombinations and a physical"}
{"subject": "math:arxiv_2241", "predicate": "proves", "object": "we suggest a modification of a comb model to describe anomalous transport in spiny dendrites . \n geo"}
{"subject": "math:arxiv_2250", "predicate": "proves", "object": "we use topological quantum field theory to derive an invariant of a three - manifold with boundary ."}
{"subject": "math:arxiv_2253", "predicate": "proves", "object": "electron transport through a single - level quantum dot weakly coupled to luttinger liquid leads is "}
{"subject": "math:arxiv_2259", "predicate": "proves", "object": "the dyson - schwinger equation for the quark self energy is solved in rainbow approximation using an"}
{"subject": "math:arxiv_2261", "predicate": "proves", "object": "= 0.50 cm based on the tensor method , a @xmath0-analogue of the spin - orbit coupling is introduced"}
{"subject": "math:arxiv_2268", "predicate": "proves", "object": "we have developed a novel monte carlo method for simulating the dynamical evolution of stellar syste"}
{"subject": "math:arxiv_2274", "predicate": "proves", "object": "a hypothesis testing scheme for entanglement has been formulated based on the poisson distribution f"}
{"subject": "math:arxiv_2285", "predicate": "proves", "object": "this paper investigates gradient recovery schemes for data defined on discretized manifolds . the pr"}
{"subject": "math:arxiv_2287", "predicate": "proves", "object": "we develop statistical mechanics for stochastic growth processes as applied to laplacian growth by u"}
{"subject": "math:arxiv_2291", "predicate": "proves", "object": "we prove that the khovanov - lauda - rouquier algebras @xmath0 of finite type are ( graded ) affine "}
{"subject": "math:arxiv_2298", "predicate": "proves", "object": "we prove the ggs conjecture @xcite ( 1993 ) , which gives a particularly simple explicit quantizatio"}
{"subject": "math:arxiv_2302", "predicate": "proves", "object": "we present a proof of a conjecture about the relationship between baxter permutations and pairs of a"}
{"subject": "math:arxiv_2314", "predicate": "proves", "object": "the ginzburg - landau equations are solved for ideally periodic vortex lattices in superconducting f"}
{"subject": "math:arxiv_2321", "predicate": "proves", "object": "we compare the way one of us got spinors out of fields , which are a priori antisymmetric tensor fie"}
{"subject": "math:arxiv_2329", "predicate": "proves", "object": "we consider @xmath0 anosov diffeomorphisms on a compact riemannian manifold . we define the weak pse"}
{"subject": "math:arxiv_2330", "predicate": "proves", "object": "based on the truncated dyson - schwinger equations for fermion and massive boson propagators in qed@"}
{"subject": "math:arxiv_2345", "predicate": "proves", "object": "the model under consideration is based on approximate analytical solution of two dimensional station"}
{"subject": "math:arxiv_2370", "predicate": "proves", "object": "we consider the dynamics towards the initial singularity of bianchi type  ix vacuum and orthogonal p"}
{"subject": "math:arxiv_2387", "predicate": "proves", "object": "we wonder whether mrzke - wheeler effects influence on measured data in nature . through a formula d"}
{"subject": "math:arxiv_2396", "predicate": "proves", "object": "we prove an infinite - dimensional generalization of zenger s lemma that was used in the proof of th"}
{"subject": "math:arxiv_2413", "predicate": "proves", "object": "the matrix equations of the relativistic random - phase approximation ( rrpa ) are derived for an ef"}
{"subject": "math:arxiv_2414", "predicate": "proves", "object": "we show that the resolution of social dilemmas on random graphs and scale - free networks is facilit"}
{"subject": "math:arxiv_2455", "predicate": "proves", "object": "this paper deals with a one  dimensional model for granular materials , which boils down to an inela"}
{"subject": "math:arxiv_2459", "predicate": "proves", "object": "the _ quantum inequalities _ , and the closely related _ quantum interest conjecture _ , impose rest"}
{"subject": "math:arxiv_2464", "predicate": "proves", "object": "we prove a quantum version of kalkman s wall - crossing formula @xcite , @xcite comparing intersecti"}
{"subject": "math:arxiv_2481", "predicate": "proves", "object": "thomson s theorem states that static charge distributions in conductors only exist at the conducting"}
{"subject": "math:arxiv_2488", "predicate": "proves", "object": "in this paper , we formulate the statistical mechanics in snyder space that supports the existence o"}
{"subject": "math:arxiv_2490", "predicate": "proves", "object": "the effect of gain and loss of esteem is introduced into the equations of time evolution of social r"}
{"subject": "math:arxiv_2491", "predicate": "proves", "object": "solutions of numerous equations of mathematical physics such as elliptic , weakly singular , singula"}
{"subject": "math:arxiv_2503", "predicate": "proves", "object": "we use hopf algebras to prove a version of the littlewood - richardson rule for skew schur functions"}
{"subject": "math:arxiv_2512", "predicate": "proves", "object": "the quantum susy n=1 hierarchy based on @xmath0 twisted affine superalgebra is considered . the cons"}
{"subject": "math:arxiv_2534", "predicate": "proves", "object": "we first survey the known results on functional equations for the double zeta - function of euler ty"}
{"subject": "math:arxiv_2535", "predicate": "proves", "object": "for extremal black holes the fuzzball conjecture says that the throat of the geometry ends in a quan"}
{"subject": "math:arxiv_2538", "predicate": "proves", "object": "a symmetric quandle is a quandle with a good involution . for a knot in @xmath0 , a knotted surface "}
{"subject": "math:arxiv_2549", "predicate": "proves", "object": "the analytic hierarchy process ( ahp ) is widely used for decision making involving multiple criteri"}
{"subject": "math:arxiv_2557", "predicate": "proves", "object": "using the recent formulation of noether s theorem for the problems of the calculus of variations wit"}
{"subject": "math:arxiv_2566", "predicate": "proves", "object": "we give a closed formula for the multivariable conway potential function of any graph link in a homo"}
{"subject": "math:arxiv_2569", "predicate": "proves", "object": "the strong factorization conjecture states that a proper birational map between smooth algebraic var"}
{"subject": "math:arxiv_2575", "predicate": "proves", "object": "we study degenerations of bethe subalgebras @xmath0 in the yangian @xmath1 , where @xmath2 is a regu"}
{"subject": "math:arxiv_2592", "predicate": "proves", "object": "i describe a possible scenario for the origin of proton mass in terms of cheshire cat , half - skyrm"}
{"subject": "math:arxiv_2596", "predicate": "proves", "object": "optical microscopy is one of the oldest scientific instruments that is still used in forefront resea"}
{"subject": "math:arxiv_2619", "predicate": "proves", "object": "the paper is devoted to the complete classification of all real lie algebras of contact vector field"}
{"subject": "math:arxiv_2627", "predicate": "proves", "object": "we have studied the superfluid density and the specific heat of the @xmath0 model on lattices @xmath"}
{"subject": "math:arxiv_2637", "predicate": "proves", "object": "we study the relaxation process in normal and anomalous diffusion regimes for systems described by a"}
{"subject": "math:arxiv_2671", "predicate": "proves", "object": "we discuss a recently proposed analytic solution to the thomas  fermi ( tf ) equation and show that "}
{"subject": "math:arxiv_2696", "predicate": "proves", "object": "we show , in the context of quantum combinatorial optimization , or quantum annealing , how the nonl"}
{"subject": "math:arxiv_2709", "predicate": "proves", "object": "we compute the reidemeister torsion of the complement of a twist knot in @xmath0 and that of the 3-m"}
{"subject": "math:arxiv_2713", "predicate": "proves", "object": "this paper analyses the numerical solution of a class of non - linear schrdinger equations by galerk"}
{"subject": "math:arxiv_2746", "predicate": "proves", "object": "kicked double - well system is investigated both analytically and numerically . \n phenomenological f"}
{"subject": "math:arxiv_2757", "predicate": "proves", "object": "starting from a small number of well - motivated axioms , we derive a unique definition of sums with"}
{"subject": "math:arxiv_2761", "predicate": "proves", "object": "we derive a closed - form solution for the price of an average price as well as an average strike ge"}
{"subject": "math:arxiv_2773", "predicate": "proves", "object": "let @xmath0 be an algebraically closed field of characteristic @xmath1 . \n let @xmath2 be a semi - d"}
{"subject": "math:arxiv_2805", "predicate": "proves", "object": "the formulation of general relativity in which the @xmath0-dimensional space - time is embedded in a"}
{"subject": "math:arxiv_2811", "predicate": "proves", "object": "we define a generalization of the fixed point set , called the bounded fixed set , for a group actin"}
{"subject": "math:arxiv_2817", "predicate": "proves", "object": "dirac equation describes the dynamics of a relativistic spin-1/2 particle regarding its spatial moti"}
{"subject": "math:arxiv_2823", "predicate": "proves", "object": "the classic howard s algorithm , a technique of resolution for discrete hamilton - jacobi equations "}
{"subject": "math:arxiv_2832", "predicate": "proves", "object": "we analyse a supersymmetric mechanical model derived from @xmath0-dimensional field theory with yuka"}
{"subject": "math:arxiv_2833", "predicate": "proves", "object": "the problem of identifying the dynamical lie algebras of finite - level quantum systems subject to e"}
{"subject": "math:arxiv_2839", "predicate": "proves", "object": "manifold matching works to identify embeddings of multiple disparate data spaces into the same low -"}
{"subject": "math:arxiv_2850", "predicate": "proves", "object": "it is shown that the dynamics of a two - dimensional crystal with a finite concentration of dislocat"}
{"subject": "math:arxiv_2852", "predicate": "proves", "object": "a quasi - particle model is presented which describes qcd lattice results for the 0 , 2 and 4 quark "}
{"subject": "math:arxiv_2865", "predicate": "proves", "object": "the coupled discrete linear and kerr nonlinear schrdinger equations with gain and loss describing tr"}
{"subject": "math:arxiv_2873", "predicate": "proves", "object": "the holstein - primakoff representation for spin systems is used to derive expressions with solution"}
{"subject": "math:arxiv_2886", "predicate": "proves", "object": "extending the results of s. y. cheng and s .- t . \n yau it is shown that a strictly pseudoconvex dom"}
{"subject": "math:arxiv_2892", "predicate": "proves", "object": "we study unstable epitaxy on singular surfaces using continuum equations with a prescribed slope - d"}
{"subject": "math:arxiv_2921", "predicate": "proves", "object": "we give an explicit and simple construction of the incidence graph for the integral cohomology of _ "}
{"subject": "math:arxiv_2930", "predicate": "proves", "object": "we investigate the dynamics of peeling of an adhesive tape subjected to a constant pull speed . \n we"}
{"subject": "math:arxiv_2933", "predicate": "proves", "object": "in this paper we introduce an algebraic form of the dispersion relation for a non ideal inhomogeneou"}
{"subject": "math:arxiv_2936", "predicate": "proves", "object": "we study quasinormal modes of black holes in lovelock gravity . \n we formulate the wkb method adapte"}
{"subject": "math:arxiv_2937", "predicate": "proves", "object": "an algorithm for computing eigenvalues and eigenfunctions of the angular spheroidal wave equation , "}
{"subject": "math:arxiv_2950", "predicate": "proves", "object": "we study a class of generalized riesz products connected to the spectral type of some class of rank "}
{"subject": "math:arxiv_2953", "predicate": "proves", "object": "in this paper we prove a nekhoroshev type theorem for perturbations of hamiltonians describing a par"}
{"subject": "math:arxiv_2968", "predicate": "proves", "object": "we propose boundary conditions for the diffusion equation that maintain the initial mean and the tot"}
{"subject": "math:arxiv_2982", "predicate": "proves", "object": "the prisoner s dilemma , a 2-person game in which the players can either cooperate or defect , is a "}
{"subject": "math:arxiv_2996", "predicate": "proves", "object": "the index of a seaweed lie algebra can be computed from its associated meander graph . \n we examine "}
{"subject": "math:arxiv_3004", "predicate": "proves", "object": "following the general strategy proposed by g.rybnikov , we present a proof of his well - known resul"}
{"subject": "math:arxiv_3009", "predicate": "proves", "object": "the mathematical properties of a nonlinear parabolic equation arising in the modelling of non - newt"}
{"subject": "math:arxiv_3049", "predicate": "proves", "object": "the paper investigates relationship between algebraic expressions and graphs . \n we consider a digra"}
{"subject": "math:arxiv_3051", "predicate": "proves", "object": "we present trends in the multilayer relaxations of several vicinals of cu(100 ) and cu(111 ) of vary"}
{"subject": "math:arxiv_3111", "predicate": "proves", "object": "we show how to use information about the equations defining secant varieties to smooth projective va"}
{"subject": "math:arxiv_3112", "predicate": "proves", "object": "for a z - pinch geometry , we report on the nonlinear redistribution of free energy across scales pe"}
{"subject": "math:arxiv_3120", "predicate": "proves", "object": "we address the microscopic derivation of a quantum master equation in lindblad form for the dynamics"}
{"subject": "math:arxiv_3128", "predicate": "proves", "object": "we present improvements to the index - calculus algorithm for the computation of the ideal class gro"}
{"subject": "math:arxiv_3147", "predicate": "proves", "object": "in this paper we relate a problem in representation theory  the study of yetter - drinfeld modules o"}
{"subject": "math:arxiv_3160", "predicate": "proves", "object": "in this paper , we prove the existence of doubly connected v - states for the generalized sqg equati"}
{"subject": "math:arxiv_3165", "predicate": "proves", "object": "we investigate the effects of the light vector u - boson that couples weakly to nucleons in relativi"}
{"subject": "math:arxiv_3179", "predicate": "proves", "object": "the conjecture that the gzk puzzle might be related with nontrivial structure of the inelastic defec"}
{"subject": "math:arxiv_3191", "predicate": "proves", "object": "the dynamical equations of clarinet - like systems are known to be reducible to a non - linear itera"}
{"subject": "math:arxiv_3231", "predicate": "proves", "object": "an interferometric scheme to study abelian geometric phase shift over the manifold su(n)/su(n-1 ) is"}
{"subject": "math:arxiv_3239", "predicate": "proves", "object": "this is an exposition of some basic ideas in the realm of global inverse function theorems . \n we ad"}
{"subject": "math:arxiv_3240", "predicate": "proves", "object": "the einstein time dilation formula was tested in several experiments . \n many trials have been made "}
{"subject": "math:arxiv_3243", "predicate": "proves", "object": "the electromagnetic two - body problem has _ \n neutral differential delay _ equations of motion that"}
{"subject": "math:arxiv_3257", "predicate": "proves", "object": "we study the geometry of the critical clusters in fully coordinated percolation on the square lattic"}
{"subject": "math:arxiv_3277", "predicate": "proves", "object": "we formulate a two - patch mathematical model for ebola virus disease dynamics in order to evaluate "}
{"subject": "math:arxiv_3292", "predicate": "proves", "object": "graphite is an example of a layered material that can be bent to form fullerenes which promise impor"}
{"subject": "math:arxiv_3303", "predicate": "proves", "object": "a hybrid method is developed based on the spectral and finite - difference methods for solving the i"}
{"subject": "math:arxiv_3325", "predicate": "proves", "object": "it is widely believed that anisotropy in the expansion of the universe will decay exponentially fast"}
{"subject": "math:arxiv_3338", "predicate": "proves", "object": "we construct in this article a new realization of quantum geometry , which is obtained by quantizing"}
{"subject": "math:arxiv_3342", "predicate": "proves", "object": "in bosonic formulation of the negative energy sea , so called dirac sea presented in the preceding p"}
{"subject": "math:arxiv_3347", "predicate": "proves", "object": "an inhomogeneous anisotropic medium with specific structure geometry can apply the tunable spin - de"}
{"subject": "math:arxiv_3371", "predicate": "proves", "object": "in this paper , we prove a necessary and sufficient condition for the edge universality of covarianc"}
{"subject": "math:arxiv_3387", "predicate": "proves", "object": "we study the evolution of time - like congruences in the vacuum solutions of weyl conformal theory o"}
{"subject": "math:arxiv_3414", "predicate": "proves", "object": "we investigate the nontrivial interplay between geometry and temperature in the casimir effect for t"}
{"subject": "math:arxiv_3415", "predicate": "proves", "object": "we use the mean - field dynamo equations to show that an incoherent alpha effect in mirror - symmetr"}
{"subject": "math:arxiv_3419", "predicate": "proves", "object": "we consider an alternative approach to double special - relativistic theories . \n the point of depar"}
{"subject": "math:arxiv_3429", "predicate": "proves", "object": "the small dispersion limit of solutions to the camassa - holm ( ch ) equation is characterized by th"}
{"subject": "math:arxiv_3435", "predicate": "proves", "object": "the numerical algorithm of the inverse quantum scattering is developed . \n this algorithm is based o"}
{"subject": "math:arxiv_3441", "predicate": "proves", "object": "a compact general integral formula is derived from which the fermionic contribution to the one - loo"}
{"subject": "math:arxiv_3462", "predicate": "proves", "object": "in this paper we solve the hydrodynamical equations of optically thin , steady state accretion disks"}
{"subject": "math:arxiv_3476", "predicate": "proves", "object": "we show that prony s method provides the full solution to the nonlinear equations of the connected  "}
{"subject": "math:arxiv_3498", "predicate": "proves", "object": "we consider the slow nonlinear diffusion equation subject to a constant absorption rate and construc"}
{"subject": "math:arxiv_3503", "predicate": "proves", "object": "we investigate a @xmath0 dimensional generalization of the schroedinger - newton equations , which p"}
{"subject": "math:arxiv_3513", "predicate": "proves", "object": "the fundamental problem of the calculus of variations on time scales concerns the minimization of a "}
{"subject": "math:arxiv_3518", "predicate": "proves", "object": "we investigate the equilibrium properties of self - gravitating magnetized clouds with polytropic eq"}
{"subject": "math:arxiv_3521", "predicate": "proves", "object": "in the present paper , we mainly study the integrable semi - discretization of a multi - component s"}
{"subject": "math:arxiv_3541", "predicate": "proves", "object": "we use a generalized gross - pitaevskii equation for the condensate and a semi - classical kinetic e"}
{"subject": "math:arxiv_3544", "predicate": "proves", "object": "we examine the relationship between the _ algebraic @xmath0-calculus _ , a fragment of the different"}
{"subject": "math:arxiv_3558", "predicate": "proves", "object": "in this paper we develop an asymptotic analysis for formal and actual solutions of @xmath0-differenc"}
{"subject": "math:arxiv_3564", "predicate": "proves", "object": "we explore some foundational issues regarding the splitting of @xmath0-dimensional einstein field eq"}
{"subject": "math:arxiv_3572", "predicate": "proves", "object": "we derive a closed expression for the number of nonnegative solutions of a certain system of linear "}
{"subject": "math:arxiv_3601", "predicate": "proves", "object": "we present gpu implementations of two fast force calculation methods , based on series expansions of"}
{"subject": "math:arxiv_3603", "predicate": "proves", "object": "let @xmath0 be a finite set of circles in the plane . \n we point out that the usual convex closure r"}
{"subject": "math:arxiv_3606", "predicate": "proves", "object": "we prove the affine pieri rule for the cohomology of the affine flag variety conjectured by lam , la"}
{"subject": "math:arxiv_3617", "predicate": "proves", "object": "using yang and yang s particle - hole description , we present a thorough derivation of the thermody"}
{"subject": "math:arxiv_3626", "predicate": "proves", "object": "a vector field on a riemannian manifold is called geodesic if its integral curves are reparametrized"}
{"subject": "math:arxiv_3654", "predicate": "proves", "object": "the complete classification of hexapods  also known as stewart gough platforms  of mobility one is s"}
{"subject": "math:arxiv_3672", "predicate": "proves", "object": "the algebraic translational surface is a typical modeling surface in computer aided design and archi"}
{"subject": "math:arxiv_3678", "predicate": "proves", "object": "we present a new direct proof of a topological representation theorem for oriented matroids in the g"}
{"subject": "math:arxiv_3684", "predicate": "proves", "object": "an algebraic soft - decision decoder for hermitian codes is presented . \n we apply koetter and vardy"}
{"subject": "math:arxiv_3688", "predicate": "proves", "object": "in this letter we study the problem of scalar particle production in external electric field in de s"}
{"subject": "math:arxiv_3691", "predicate": "proves", "object": "we study the birational representation of @xmath0 proposed by kajiwara - noumi - yamada ( kny ) in t"}
{"subject": "math:arxiv_3702", "predicate": "proves", "object": "the empirical pairing gaps derived from four different odd - even mass staggering formulas are compa"}
{"subject": "math:arxiv_3746", "predicate": "proves", "object": "we use a lattice boltzmann method to study pattern formation in chemically reactive binary fluids in"}
{"subject": "math:arxiv_3765", "predicate": "proves", "object": "a tetrad - based procedure is presented for solving einstein s field equations for spherically - sym"}
{"subject": "math:arxiv_3772", "predicate": "proves", "object": "besides the well - known existence of andreev bound states , the zero - energy local density of stat"}
{"subject": "math:arxiv_3773", "predicate": "proves", "object": "thermodynamical properties of nuclear matter at sub - saturation densities were investigated using a"}
{"subject": "math:arxiv_3791", "predicate": "proves", "object": "a mechanical model of swimming and flying in an incompressible viscous fluid in the absence of gravi"}
{"subject": "math:arxiv_3797", "predicate": "proves", "object": "the influence of the geometry of a thin superconducting sample on the penetration of the magnetic fi"}
{"subject": "math:arxiv_3799", "predicate": "proves", "object": "polarized inclusive deep - inelastic scattering is formulated in the light cone expansion . \n the qc"}
{"subject": "math:arxiv_3803", "predicate": "proves", "object": "in a gauge invariant formulation of the molecular electric dipole - photon interaction , the rigorou"}
{"subject": "math:arxiv_3815", "predicate": "proves", "object": "a 4-parameter polynomial family of equations generalizing the camassa - holm and novikov equations t"}
{"subject": "math:arxiv_3827", "predicate": "proves", "object": "centrifugal acceleration of charged test particles at the base of a rotating jet magnetosphere is co"}
{"subject": "math:arxiv_3831", "predicate": "proves", "object": "we count the @xmath0-rational points of git quotients of quiver representations with relations . \n w"}
{"subject": "math:arxiv_3851", "predicate": "proves", "object": "a numerical method of determining the wire sag in a multiwire proportional chamber used in rich @xci"}
{"subject": "math:arxiv_3853", "predicate": "proves", "object": "systems of solitary - waves in the 1d gross - pitaevskii equation , which models a trapped atomic bo"}
{"subject": "math:arxiv_3866", "predicate": "proves", "object": "in recent work  @xcite , boltzmann and fokker - planck equations were derived for the `` yard - sale"}
{"subject": "math:arxiv_3873", "predicate": "proves", "object": "projective geometry provides the preferred framework for most implementations of euclidean space in "}
{"subject": "math:arxiv_3885", "predicate": "proves", "object": "the schechter - valle theorem states that a positive observation of neutrinoless double - beta ( @xm"}
{"subject": "math:arxiv_3886", "predicate": "proves", "object": "the strongly - coupled phase of the quark - gluon plasma ( qgp ) is studied here by resorting to a @"}
{"subject": "math:arxiv_3887", "predicate": "proves", "object": "we propose a phantom crossing dvali  gabadadze  porrati ( dgp ) model . in our model , \n the effecti"}
{"subject": "math:arxiv_3900", "predicate": "proves", "object": "we prove the uniqueness and non - degeneracy of positive solutions to a cubic nonlinear schrdinger ("}
{"subject": "math:arxiv_3905", "predicate": "proves", "object": "recently andrei teleman considered instanton moduli spaces over negative definite four - manifolds @"}
{"subject": "math:arxiv_3915", "predicate": "proves", "object": "by careful analysis of the comparison map from a simplicial set to its image under kan s ex - infini"}
{"subject": "math:arxiv_3936", "predicate": "proves", "object": "the famous van benthem theorem states that modal logic corresponds exactly to the fragment of first "}
{"subject": "math:arxiv_3942", "predicate": "proves", "object": "we present an explicit formula for the discrete power function introduced by bobenko , which is expr"}
{"subject": "math:arxiv_3948", "predicate": "proves", "object": "this work introduces a single - stage , single - step method for the compressible euler equations th"}
{"subject": "math:arxiv_3975", "predicate": "proves", "object": "we formulate the double exchange ( de ) model for systems with @xmath0 orbital degeneracy , relevant"}
{"subject": "math:arxiv_3983", "predicate": "proves", "object": "free electron laser ( fel ) and collective atomic recoil laser ( carl ) are described by the same mo"}
{"subject": "math:arxiv_3994", "predicate": "proves", "object": "we consider a population of agents that are heterogeneous with respect to ( i ) their strategy when "}
{"subject": "math:arxiv_4003", "predicate": "proves", "object": "in this paper , we develop a bernstein dual - petrov - galerkin method for the numerical simulation "}
{"subject": "math:arxiv_4010", "predicate": "proves", "object": "in this article we consider a bayesian inverse problem associated to elliptic partial differential e"}
{"subject": "math:arxiv_4021", "predicate": "proves", "object": "an algebraic procedure to find extremal density matrices for any hamiltonian of a qudit system is es"}
{"subject": "math:arxiv_4030", "predicate": "proves", "object": "the f - theory vacuum constructed from an elliptic calabi  yau threefold with section yields an effe"}
{"subject": "math:arxiv_4045", "predicate": "proves", "object": "using the local potential approximation of the exact renormalization group ( rg ) equation , we show"}
{"subject": "math:arxiv_4047", "predicate": "proves", "object": "we discuss recent work showing that in certain cases the membrane paradigm equations governing the d"}
{"subject": "math:arxiv_4050", "predicate": "proves", "object": "using functional derivatives with respect to the free correlation function we derive a closed set of"}
{"subject": "math:arxiv_4078", "predicate": "proves", "object": "we prove the conley conjecture for a closed symplectically aspherical symplectic manifold : a hamilt"}
{"subject": "math:arxiv_4079", "predicate": "proves", "object": "we present a series of quantum states that are characterized by dark solitons of the nonlinear schrd"}
{"subject": "math:arxiv_4084", "predicate": "proves", "object": "* abstract *  we show that the basic categorical concept of an @xmath0-algebra as derived from the t"}
{"subject": "math:arxiv_4091", "predicate": "proves", "object": "a generalized stochastic method for projecting out the ground state of the quantum many - body schrd"}
{"subject": "math:arxiv_4093", "predicate": "proves", "object": "in this paper , we consider an interior transmission eigenvalue ( ite ) problem on some compact @xma"}
{"subject": "math:arxiv_4105", "predicate": "proves", "object": "we prove an existence theorem for the cauchy problem on a characteristic cone for the vacuum einstei"}
{"subject": "math:arxiv_4121", "predicate": "proves", "object": "the potentials of spin - weighted wave equations in various kerr - newman black holes are analyzed ."}
{"subject": "math:arxiv_4133", "predicate": "proves", "object": "in 2005 , junhao shen introduced a new invariant , @xmath0 , of a diffuse von neumann algebra @xmath"}
{"subject": "math:arxiv_4152", "predicate": "proves", "object": "the scattering of kinks and low - frequency breathers of the nonlinear sine - gordon ( sg ) equation"}
{"subject": "math:arxiv_4161", "predicate": "proves", "object": "we study the accelerated expansion of the universe through its consequences on a congruence of geode"}
{"subject": "math:arxiv_4171", "predicate": "proves", "object": "simulations of magnetization dynamics in a multiscale environment enable rapid evaluation of the lan"}
{"subject": "math:arxiv_4172", "predicate": "proves", "object": "we study the current - phase relation of a bose - einstein condensate flowing through a repulsive sq"}
{"subject": "math:arxiv_4196", "predicate": "proves", "object": "the hydrodynamic escape problem ( hep ) , which is characterized by a free boundary value problem of"}
{"subject": "math:arxiv_4199", "predicate": "proves", "object": "multivariate functions are typically governed by anisotropic features such as edges in images or sho"}
{"subject": "math:arxiv_4207", "predicate": "proves", "object": "in this thesis , we obtain the formula for the kac determinant of the algebra arising from the level"}
{"subject": "math:arxiv_4222", "predicate": "proves", "object": "we establish rigorous upper and lower bounds for the speed of pulled fronts with a cutoff . \n we sho"}
{"subject": "math:arxiv_4240", "predicate": "proves", "object": "the monster tower , also known as the semple tower , is a sequence of manifolds with distributions o"}
{"subject": "math:arxiv_4274", "predicate": "proves", "object": "we consider first order gravity in four dimensions . in particular , we consider formulations where "}
{"subject": "math:arxiv_4323", "predicate": "proves", "object": "an approximate analytical and non - linear solution of the einstein field equations is derived for a"}
{"subject": "math:arxiv_4328", "predicate": "proves", "object": "we investigate a @xmath0-symmetric scalar field theory in two dimensions using the polchinski exact "}
{"subject": "math:arxiv_4331", "predicate": "proves", "object": "this article investigates some solutions of the time - dependent free dirac equation . \n visualizati"}
{"subject": "math:arxiv_4334", "predicate": "proves", "object": "a unified summary is given of the existence theory of stein manifolds in all dimensions , based on p"}
{"subject": "math:arxiv_4337", "predicate": "proves", "object": "we formulate a microcanonical distribution for an arbitrary one - electron triatomic molecule . \n th"}
{"subject": "math:arxiv_4340", "predicate": "proves", "object": "the first 3d calculation of shock wave propagation in a homogeneous qgp has been performed within th"}
{"subject": "math:arxiv_4345", "predicate": "proves", "object": "we give a simple combinatorial proof of a formula that extends a result by grigorchuk  @xcite ( redi"}
{"subject": "math:arxiv_4353", "predicate": "proves", "object": "in this paper , the method of discrete exterior calculus for numerically solving maxwell s equations"}
{"subject": "math:arxiv_4379", "predicate": "proves", "object": "harer , kas and kirby have conjectured that every handle decomposition of the elliptic surface @xmat"}
{"subject": "math:arxiv_4384", "predicate": "proves", "object": "we prove the existence of chaos in temperature in the sherringhton - kirkpatrick model . \n the effec"}
{"subject": "math:arxiv_4419", "predicate": "proves", "object": "we have studied the two - body production and decay of a heavy , right - handed neutrino to two ligh"}
{"subject": "math:arxiv_4444", "predicate": "proves", "object": "we present numerical simulations of the axisymmetric accretion of a massive magnetized plasma torus "}
{"subject": "math:arxiv_4445", "predicate": "proves", "object": "we treat continuum electrodynamics as an axiomatic formal theory based on the macroscopic maxwell \n "}
{"subject": "math:arxiv_4469", "predicate": "proves", "object": "kaluza \n klein compactifications with four - dimensional inflationary geometry combine the attractiv"}
{"subject": "math:arxiv_4476", "predicate": "proves", "object": "binary linear @xmath0 $ ] codes that are proper for error detection are known for many combinations "}
{"subject": "math:arxiv_4477", "predicate": "proves", "object": "non - abelian lattice spin models with symmetry group @xmath0 or @xmath1 can be formulated in terms "}
{"subject": "math:arxiv_4482", "predicate": "proves", "object": "we describe a new approach to the schubert calculus on complete flag varieties using the volume poly"}
{"subject": "math:arxiv_4493", "predicate": "proves", "object": "we study the family of closed riemannian @xmath0-manifolds with holonomy group isomorphic to @xmath1"}
{"subject": "math:arxiv_4498", "predicate": "proves", "object": "the notion of the _ genus _ of a quadratic form is generalized to vertex operator algebras . \n we de"}
{"subject": "math:arxiv_4500", "predicate": "proves", "object": "short - distance qcd is employed to calculate the @xmath0 survival probability in an equilibrating p"}
{"subject": "math:arxiv_4501", "predicate": "proves", "object": "we develop a new general formulation to explore light - driven electron transport through a single -"}
{"subject": "math:arxiv_4502", "predicate": "proves", "object": "we study the mass of the ground state of @xmath0 systems using different regularization schemes of t"}
{"subject": "math:arxiv_4516", "predicate": "proves", "object": "we analyze the finite volume spatial convergence combined with exponential time differencing of orde"}
{"subject": "math:arxiv_4527", "predicate": "proves", "object": "in this paper , we prove that relation - extensions of quasi - tilted algebras are 2-calabi - yau ti"}
{"subject": "math:arxiv_4529", "predicate": "proves", "object": "we study the deformation of a cavity around a large projectile moving with subsonic velocity in the "}
{"subject": "math:arxiv_4536", "predicate": "proves", "object": "in 1987 , c.  sabbah proved the existence of bernstein - sato polynomials associated with several an"}
{"subject": "math:arxiv_4542", "predicate": "proves", "object": "as a minimal mathematical model generating cascade analogous to that of the navier - stokes turbulen"}
{"subject": "math:arxiv_4548", "predicate": "proves", "object": "the parameter dependence of the various attractive solutions of the three variable nonlinear lorenz "}
{"subject": "math:arxiv_4551", "predicate": "proves", "object": "we study the einstein - yang - mills equations in a 6-dimensional space - time . \n we make a self - "}
{"subject": "math:arxiv_4556", "predicate": "proves", "object": "we consider string junctions with endpoints on a set of branes of iib string theory defining an @xma"}
{"subject": "math:arxiv_4563", "predicate": "proves", "object": "a new method for solving numerically stochastic partial differential equations ( spdes ) with multip"}
{"subject": "math:arxiv_4566", "predicate": "proves", "object": "we consider the classical @xmath0-symmetric models confined in a @xmath1-dimensional slab - like geo"}
{"subject": "math:arxiv_4583", "predicate": "proves", "object": "we show that the algebraic dimension of a twistor space over @xmath0 can not be two if @xmath1 and t"}
{"subject": "math:arxiv_4597", "predicate": "proves", "object": "in this paper we describe the integral transform that allows to write solutions of one partial diffe"}
{"subject": "math:arxiv_4621", "predicate": "proves", "object": "the development and decay of a turbulent vortex tangle driven by the gross - pitaevskii equation is "}
{"subject": "math:arxiv_4623", "predicate": "proves", "object": "we present two numerical methods for the fully nonlinear elliptic monge - ampre equation . \n the fir"}
{"subject": "math:arxiv_4629", "predicate": "proves", "object": "by making use of the weak gravitational field approximation , we obtain a linearized solution of the"}
{"subject": "math:arxiv_4630", "predicate": "proves", "object": "this paper presents a unified mathematical framework for inference in graphical models , building on"}
{"subject": "math:arxiv_4674", "predicate": "proves", "object": "we introduce winding numbers @xmath0 and free winding numbers @xmath1 of regular closed curves on su"}
{"subject": "math:arxiv_4680", "predicate": "proves", "object": "matrix perturbation inequalities , such as weyl s theorem ( concerning the singular values ) and the"}
{"subject": "math:arxiv_4681", "predicate": "proves", "object": "we study the algebraic boundary of a convex semi - algebraic set via duality in convex and algebraic"}
{"subject": "math:arxiv_4696", "predicate": "proves", "object": "the electronic and optical properties of polycyclic aromatic hydrocarbons ( pahs ) present a strong "}
{"subject": "math:arxiv_4700", "predicate": "proves", "object": "lots of research focuses on the combinatorics behind various bases of cluster algebras . \n this pape"}
{"subject": "math:arxiv_4702", "predicate": "proves", "object": "we address the problem of long - time asymptotics for the solutions of the korteweg - de vries equat"}
{"subject": "math:arxiv_4722", "predicate": "proves", "object": "the algebraic structures related with integrable structure of superconformal field theory ( scft ) a"}
{"subject": "math:arxiv_4737", "predicate": "proves", "object": "we propose an interpolation formula for the distribution of the reflection coefficient in the presen"}
{"subject": "math:arxiv_4751", "predicate": "proves", "object": "in this note , we introduce a new method for constructing graphs with high chromatic number and smal"}
{"subject": "math:arxiv_4774", "predicate": "proves", "object": "we analyze the interaction of a radiation - dominated jet and its surroundings using the equations o"}
{"subject": "math:arxiv_4786", "predicate": "proves", "object": "we analyze pattern - formation scenarios in the two - dimensional ( 2d ) complex ginzburg - landau ("}
{"subject": "math:arxiv_4792", "predicate": "proves", "object": "starting from delay equations that model field retardation effects , we study the origin of runaway "}
{"subject": "math:arxiv_4810", "predicate": "proves", "object": "we consider the problem of incrementally solving a sequence of quantified boolean formulae ( qbf ) ."}
{"subject": "math:arxiv_4817", "predicate": "proves", "object": "we extend the fixed center approximation ( fca ) to the faddeev equations for the @xmath0 system wit"}
{"subject": "math:arxiv_4822", "predicate": "proves", "object": "a celebrated theorem of kirby identifies the set of closed oriented connected 3-manifolds with the s"}
{"subject": "math:arxiv_4832", "predicate": "proves", "object": "we study the scalar , conformally invariant wave equation on a four - dimensional minkowski backgrou"}
{"subject": "math:arxiv_4844", "predicate": "proves", "object": "we develop a qualitative geometric approach to swimming at low reynolds number which avoids solving "}
{"subject": "math:arxiv_4848", "predicate": "proves", "object": "we calculate the volumes of the hyperbolic twist knot cone - manifolds using the schlfli formula . \n"}
{"subject": "math:arxiv_4853", "predicate": "proves", "object": "we estimate the effects of viscosity on the phase space distribution appearing in the cooper - frye "}
{"subject": "math:arxiv_4868", "predicate": "proves", "object": "we extend and generalize results of scheiderer ( 2006 ) on the representation of polynomials nonnega"}
{"subject": "math:arxiv_4874", "predicate": "proves", "object": "we show that a constant - potential time - independent schrdinger equation with dirichlet boundary d"}
{"subject": "math:arxiv_4891", "predicate": "proves", "object": "we obtain by invariance arguments the relativistic and non - relativistic invariant dynamical equati"}
{"subject": "math:arxiv_4894", "predicate": "proves", "object": "the subtracted kernel approach is shown to be a powerful method to be implemented recursively in sca"}
{"subject": "math:arxiv_4911", "predicate": "proves", "object": "for adiabatically and periodically manipulated dissipative quantum systems we derive , using floquet"}
{"subject": "math:arxiv_4925", "predicate": "proves", "object": "algebraic quantum field theory is an approach to relativistic quantum physics , notably the theory o"}
{"subject": "math:arxiv_4927", "predicate": "proves", "object": "we prove that the seasonally - forced sir model with a @xmath0-periodic forcing has a periodic solut"}
{"subject": "math:arxiv_4935", "predicate": "proves", "object": "we discuss system with non - isotropic non - heisenberg hamiltonian with nearest neighbor exchange w"}
{"subject": "math:arxiv_4937", "predicate": "proves", "object": "let @xmath0 be a hypersurface which allow only generic corank one singularities , and admits globall"}
{"subject": "math:arxiv_4941", "predicate": "proves", "object": "we present here a new conjecture for the nature of the mersenne prime numbers by connecting it with "}
{"subject": "math:arxiv_4942", "predicate": "proves", "object": "the bose - hubbard model in an external magnetic field is investigated with strong - coupling pertur"}
{"subject": "math:arxiv_4953", "predicate": "proves", "object": "we explore the relation between the hopf algebra associated to the renormalization of qft and the ho"}
{"subject": "math:arxiv_4971", "predicate": "proves", "object": "we analyze the violations of linear fluctuation - dissipation theorem ( fdt ) in the coarsening dyna"}
{"subject": "math:arxiv_4981", "predicate": "proves", "object": "we consider the classical motion of a probe d - brane moving in the background geometry of a ring of"}
{"subject": "math:arxiv_4983", "predicate": "proves", "object": "we explicitly construct genus-@xmath0 lefschetz fibrations whose total spaces are minimal symplectic"}
{"subject": "math:arxiv_4990", "predicate": "proves", "object": "the superkamiokande experiment suggests the large flavor mixing between @xmath0 and @xmath1 . \n we s"}
{"subject": "math:arxiv_5004", "predicate": "proves", "object": "using geometrical approach exposed in refs . \n @xcite , we explore the camassa  holm equation ( both"}
{"subject": "math:arxiv_5024", "predicate": "proves", "object": "we study the properties of hypernuclei containing one @xmath0 hyperon in the framework of the correl"}
{"subject": "math:arxiv_5039", "predicate": "proves", "object": "we describe an essential improvement of our recent algorithm for computing cohomology of lie ( super"}
{"subject": "math:arxiv_5040", "predicate": "proves", "object": "we study the approximation properties of the class of nonstationary refinable ripplets introduced in"}
{"subject": "math:arxiv_5049", "predicate": "proves", "object": "the solution of non - linear evolution equations for dense nuclear gluon density has been suggested "}
{"subject": "math:arxiv_5055", "predicate": "proves", "object": "the smoluchowski equation for a free particle with a time dependent sink is solved exactly for many "}
{"subject": "math:arxiv_5067", "predicate": "proves", "object": "in this article we compare the mean - square stability properties of the @xmath0-maruyama and @xmath"}
{"subject": "math:arxiv_5068", "predicate": "proves", "object": "we describe deva , a multistep ap3m - like - sph code particularly designed to study galaxy formatio"}
{"subject": "math:arxiv_5070", "predicate": "proves", "object": "we examine embedding diagrams of hypersurfaces in the reissner - nordstrm black hole spacetime . \n t"}
{"subject": "math:arxiv_5093", "predicate": "proves", "object": "we show that in theories where neutrino masses arise from type i seesaw formula with three right han"}
{"subject": "math:arxiv_5096", "predicate": "proves", "object": "we consider abstract operator equations @xmath0 , where @xmath1 is a compact linear operator between"}
{"subject": "math:arxiv_5099", "predicate": "proves", "object": "the accuracy of the numerical solution of a fractional differential equation depends on the differen"}
{"subject": "math:arxiv_5114", "predicate": "proves", "object": "the ( @xmath0 ) model in mean - field approximation where the meson fields are treated classically ,"}
{"subject": "math:arxiv_5116", "predicate": "proves", "object": "we have systematically computed the generators of the symmetries arising in poincar gauge theory for"}
{"subject": "math:arxiv_5119", "predicate": "proves", "object": "we study modules for the divided power algebra @xmath0 in a single variable over a commutative noeth"}
{"subject": "math:arxiv_5120", "predicate": "proves", "object": "an equation of state of neutron star matter with strange baryons has been obtained . \n the effects o"}
{"subject": "math:arxiv_5168", "predicate": "proves", "object": "we show that the boost - invariant and cylindrically asymmetric hydrodynamic equations for baryon - "}
{"subject": "math:arxiv_5188", "predicate": "proves", "object": "we establish a replacement lemma for a variational problem , which is not based on a local argument "}
{"subject": "math:arxiv_5189", "predicate": "proves", "object": "a new class of random partial differential equations of parabolic type is considered , where the sto"}
{"subject": "math:arxiv_5190", "predicate": "proves", "object": "classical geometry of de sitter spacetime is reviewed in arbitrary dimensions . \n topics include coo"}
{"subject": "math:arxiv_5204", "predicate": "proves", "object": "this paper aims to present explicit photon - like ( 3 + 1 ) spatially finite soliton solutions of sc"}
{"subject": "math:arxiv_5211", "predicate": "proves", "object": "the thurston - bennequin invariant provides one notion of self - linking for any homologically - tri"}
{"subject": "math:arxiv_5217", "predicate": "proves", "object": "we establish a min - max estimate on the volume width of a closed riemannian manifold with nonnegati"}
{"subject": "math:arxiv_5221", "predicate": "proves", "object": "we work out the thermodynamic equations for the decays and scatterings of heavy majorana neutrinos i"}
{"subject": "math:arxiv_5227", "predicate": "proves", "object": "we analyze the sequence of polynomials defined by the differential - difference equation @xmath0 asy"}
{"subject": "math:arxiv_5232", "predicate": "proves", "object": "an hallmark of present - day dyson - schwinger equation applications in hadron physics is the existe"}
{"subject": "math:arxiv_5237", "predicate": "proves", "object": "we investigate the harmonically trapped interacting bose gas in a quasi-2d geometry using the classi"}
{"subject": "math:arxiv_5238", "predicate": "proves", "object": "to solve numerically boundary value problems for parabolic equations with mixed derivatives , the co"}
{"subject": "math:arxiv_5243", "predicate": "proves", "object": "we derive an equation determining the small-@xmath0 evolution of the @xmath1 structure function of a"}
{"subject": "math:arxiv_5270", "predicate": "proves", "object": "we consider the 2d quasi - periodic scattering problem in optics , which has been modelled by a boun"}
{"subject": "math:arxiv_5275", "predicate": "proves", "object": "the evolution of electromagnetic and massless dirac perturbations in the space - time geometry of ke"}
{"subject": "math:arxiv_5284", "predicate": "proves", "object": "it is well known that a triangulation of a closed 2-manifold is tight with respect to a field of cha"}
{"subject": "math:arxiv_5297", "predicate": "proves", "object": "a central aim of physics is to describe the dynamics of physical systems . \n schrdinger s equation d"}
{"subject": "math:arxiv_5309", "predicate": "proves", "object": "diffusion may obliterate fluctuation signals of the qcd phase transition in nuclear collisions at sp"}
{"subject": "math:arxiv_5332", "predicate": "proves", "object": "we extend a previous landau - gauge study of subtractive renormalization of the fermion propagator d"}
{"subject": "math:arxiv_5339", "predicate": "proves", "object": "this paper presents numerical results for the two - dimensional isotropic kuramoto - sivashinsky equ"}
{"subject": "math:arxiv_5343", "predicate": "proves", "object": "we applied our recently proposed empirical formula , a formula quite successful in describing essent"}
{"subject": "math:arxiv_5345", "predicate": "proves", "object": "we study the energy dependent photon variability from a thermal comptonizing plasma that is oscillat"}
{"subject": "math:arxiv_5347", "predicate": "proves", "object": "we report on a computer simulation and integral equation study of a simple model of patchy spheres ,"}
{"subject": "math:arxiv_5351", "predicate": "proves", "object": "we investigate a class of models with a massless fermion and a self - interacting scalar field with "}
{"subject": "math:arxiv_5366", "predicate": "proves", "object": "the spontaneous generation of the chromomagnetic field at high temperature is investigated in a latt"}
{"subject": "math:arxiv_5367", "predicate": "proves", "object": "we study the infinite @xmath0 hubbard model with one hole doped away half - filling , in triangular "}
{"subject": "math:arxiv_5378", "predicate": "proves", "object": "motion of vortices in two - dimensional superfluids in the classical limit is studied by solving the"}
{"subject": "math:arxiv_5411", "predicate": "proves", "object": "quantization of constraint systems within the weyl - wigner - groenewold - moyal framework is discus"}
{"subject": "math:arxiv_5420", "predicate": "proves", "object": "we study the growth of hyperbolic type distances in starlike domains . \n we derive estimates for var"}
{"subject": "math:arxiv_5428", "predicate": "proves", "object": "using the theory of plugs and the self - insertion construction due to the second author , we prove "}
{"subject": "math:arxiv_5463", "predicate": "proves", "object": "integrable equations exhibit interesting conformal properties and can be written in terms of the so "}
{"subject": "math:arxiv_5473", "predicate": "proves", "object": "we investigate an explicite formula for ground state energy of the anisotropic xy chain in transvers"}
{"subject": "math:arxiv_5479", "predicate": "proves", "object": "this article is devoted to the computation of jack connection coefficients , a generalization of the"}
{"subject": "math:arxiv_5495", "predicate": "proves", "object": "this paper presents a new framework for manifold learning based on a sequence of principal polynomia"}
{"subject": "math:arxiv_5500", "predicate": "proves", "object": "an algebraic method is introduced for an analytical solution of the eigenvalue problem of the tavis "}
{"subject": "math:arxiv_5513", "predicate": "proves", "object": "we obtain the maximum entropy distribution for an asset from call and digital option prices . a rigo"}
{"subject": "math:arxiv_5520", "predicate": "proves", "object": "we study a question of density of lipschitz mappings in the sobolev class of mappings from a closed "}
{"subject": "math:arxiv_5522", "predicate": "proves", "object": "in this paper a reduced set of the partial differential wave equations valid in the conversion layer"}
{"subject": "math:arxiv_5535", "predicate": "proves", "object": "the internet structure is extremely complex . \n the positive - feedback preference ( pfp ) model is "}
{"subject": "math:arxiv_5539", "predicate": "proves", "object": "in this article , we study parameter - dependent systems of reaction - diffusion equations on the sp"}
{"subject": "math:arxiv_5578", "predicate": "proves", "object": "we prove a seifert - van kampen theorem for legendrian submanifolds and exact lagrangian cobordisms "}
{"subject": "math:arxiv_5607", "predicate": "proves", "object": "the spectral excess theorem for distance - regular graphs states that a regular ( connected ) graph "}
{"subject": "math:arxiv_5608", "predicate": "proves", "object": "we study stability of conservative solutions of the cauchy problem for the periodic camassa  holm eq"}
{"subject": "math:arxiv_5626", "predicate": "proves", "object": "to solve the many - boson schrdinger equation we utilize the multiconfigurational time - dependent h"}
{"subject": "math:arxiv_5629", "predicate": "proves", "object": "sturm - liouville oscillation theory for periodic jacobi operators with matrix entries is discussed "}
{"subject": "math:arxiv_5649", "predicate": "proves", "object": "lhcb has been installed by spring 2008 , followed by intensive testing and commissioning of the syst"}
{"subject": "math:arxiv_5652", "predicate": "proves", "object": "all - versus - nothing ( avn ) proofs show the conflict between einstein , podolsky , and rosen s el"}
{"subject": "math:arxiv_5653", "predicate": "proves", "object": "the inverse scattering problem of the three - dimensional schrdinger equation is considered at fixed"}
{"subject": "math:arxiv_5660", "predicate": "proves", "object": "there are several topological spaces associated to a complex hyperplane arrangement : the complement"}
{"subject": "math:arxiv_5667", "predicate": "proves", "object": "-1.1 cm using the open quantum system approach applied to the neutrino system , we derive three gene"}
{"subject": "math:arxiv_5691", "predicate": "proves", "object": "the relativistic faddeev equation for three - nucleon scattering is formulated in momentum space and"}
{"subject": "math:arxiv_5704", "predicate": "proves", "object": "machine learning methods for solving the equations of dynamical mean - field theory are developed . "}
{"subject": "math:arxiv_5713", "predicate": "proves", "object": "we show that smooth isoperimetric profiles are exceptional for real analytic riemannian manifolds . "}
{"subject": "math:arxiv_5724", "predicate": "proves", "object": "finite group theorists have established many formulas that express interesting properties of a finit"}
{"subject": "math:arxiv_5725", "predicate": "proves", "object": "we study the average density of resonances ( dor ) for a semi - infinite disordered chain , coupled "}
{"subject": "math:arxiv_5732", "predicate": "proves", "object": "seeger s semi - empirical mass formula is revisited for two of its constants ( bulk constant @xmath0"}
{"subject": "math:arxiv_5734", "predicate": "proves", "object": "= 0.55 cm we present the exact @xmath0 correction to the process @xmath1 , @xmath2 , for isr@xmath3f"}
{"subject": "math:arxiv_5737", "predicate": "proves", "object": "semi - classical description of bh , as it was originally introduced by hawking and bekenstein in th"}
{"subject": "math:arxiv_5753", "predicate": "proves", "object": "in this article we discuss some general results on the covariant picard groupoid in the context of d"}
{"subject": "math:arxiv_5754", "predicate": "proves", "object": "we consider a class of non - homogeneous , continuous , centered gaussian random fields @xmath0 wher"}
{"subject": "math:arxiv_5758", "predicate": "proves", "object": "we present a simple derivation of the energy formula found by tan , relative to the single channel h"}
{"subject": "math:arxiv_5761", "predicate": "proves", "object": "ohba has conjectured @xcite that if the graph @xmath0 has @xmath1 or fewer vertices then the list ch"}
{"subject": "math:arxiv_5763", "predicate": "proves", "object": "we present an extensive numerical study of the hubbard model on the doped ab@xmath0 chain , both in "}
{"subject": "math:arxiv_5768", "predicate": "proves", "object": "we summarize the current view on parton - hadron duality as it applies to @xmath0 meson decays . \n i"}
{"subject": "math:arxiv_5806", "predicate": "proves", "object": "the @xmath0polynomial of a manifold whose boundary consists of a single torus is generalised to an _"}
{"subject": "math:arxiv_5807", "predicate": "proves", "object": "the effect of solvent quality on dilute and semi - dilute regimes of polymers in solution is studied"}
{"subject": "math:arxiv_5815", "predicate": "proves", "object": "in this article we classify indecomposable objects of the derived categories of finitely - generated"}
{"subject": "math:arxiv_5827", "predicate": "proves", "object": "we show that for a large class of contact @xmath0-manifolds the groups of vassiliev invariants of le"}
{"subject": "math:arxiv_5853", "predicate": "proves", "object": "we provide a general product formula for the solution of nonautonomous abstract delay equations . \n "}
{"subject": "math:arxiv_5869", "predicate": "proves", "object": "we define a two - variable polynomial invariant of finite quandles . in many cases \n this invariant "}
{"subject": "math:arxiv_5875", "predicate": "proves", "object": "we derive the spectrum of the dirac operator for the linear @xmath0model with quarks in the large @x"}
{"subject": "math:arxiv_5888", "predicate": "proves", "object": "it is shown that the fiducial distribution in a group model , or more generally a quasigroup model ,"}
{"subject": "math:arxiv_5897", "predicate": "proves", "object": "the previously introduced quantum arnold transformation , a unitary operator mapping the solutions o"}
{"subject": "math:arxiv_5915", "predicate": "proves", "object": "we introduce a formalism for the geometry of eukaryotic cells and organisms . \n cells are taken to b"}
{"subject": "math:arxiv_5923", "predicate": "proves", "object": "within the 5d standing wave braneworld model numerical solutions of the equations for matter fields "}
{"subject": "math:arxiv_5946", "predicate": "proves", "object": "we give a direct calculation of the curvature of the hitchin connection , in geometric quantization "}
{"subject": "math:arxiv_5971", "predicate": "proves", "object": "we show that existing proofs of factorization imply the cancellation of certain multiladder contribu"}
{"subject": "math:arxiv_5986", "predicate": "proves", "object": "the equation of motion for the expectation value of a scalar quantum field does not have the local f"}
{"subject": "math:arxiv_5998", "predicate": "proves", "object": "we show that the optical structure of the helical phase of a chiral nematic is naturally associated "}
{"subject": "math:arxiv_6013", "predicate": "proves", "object": "the @xmath0 heisenberg antiferromagnet is studied on the kagom lattice by using a green s function m"}
{"subject": "math:arxiv_6019", "predicate": "proves", "object": "we derive the bethe - salpeter ( bs ) equations for the collective - mode spectrum of superfluid fer"}
{"subject": "math:arxiv_6020", "predicate": "proves", "object": "we describe left - invariant half - flat @xmath0-structures on @xmath1 using the representation theo"}
{"subject": "math:arxiv_6032", "predicate": "proves", "object": "we prove that @xmath0-dissimilarity vectors of weighted trees are points on the tropical grassmannia"}
{"subject": "math:arxiv_6064", "predicate": "proves", "object": "we define a c*-hull for a * -algebra , given a notion of integrability for its representations on hi"}
{"subject": "math:arxiv_6082", "predicate": "proves", "object": "the recently - developed non - equilibrium extension of the self - consistent generalized langevin e"}
{"subject": "math:arxiv_6095", "predicate": "proves", "object": "we consider several examples of probabilistic existence proofs using compressibility arguments , inc"}
{"subject": "math:arxiv_6099", "predicate": "proves", "object": "we propose a notion of a super @xmath0-lie algebra and construct a super @xmath0-lie algebra with th"}
{"subject": "math:arxiv_6114", "predicate": "proves", "object": "the standard model for molecular recognition of an odorant is that receptor sites discriminate by mo"}
{"subject": "math:arxiv_6118", "predicate": "proves", "object": "we present a proof - of - principle experiment demonstrating measurement of the collectibility , a n"}
{"subject": "math:arxiv_6124", "predicate": "proves", "object": "traveling wave solutions of degenerate coupled @xmath0-kdv equations are studied . due to symmetry r"}
{"subject": "math:arxiv_6134", "predicate": "proves", "object": "this letter describes a completely - integrable system of yang - mills - higgs equations which gener"}
{"subject": "math:arxiv_6136", "predicate": "proves", "object": "electronic structures of carbides with the rocksalt structure were calculated by full potential elec"}
{"subject": "math:arxiv_6164", "predicate": "proves", "object": "we have applied the quantal hypernetted - chain equations in combination with the rosenfeld bridge -"}
{"subject": "math:arxiv_6167", "predicate": "proves", "object": "we study the whitham equations for the defocusing complex modified kdv ( mkdv ) equation . \n these w"}
{"subject": "math:arxiv_6168", "predicate": "proves", "object": "the effect on parametric instability growth of pump wave incoherence is treated by deriving a set of"}
{"subject": "math:arxiv_6193", "predicate": "proves", "object": "we apply the new formulation of heavy quark effective field theory ( hqeft ) to the inclusive decays"}
{"subject": "math:arxiv_6195", "predicate": "proves", "object": "we examine hilltop quintessence models , in which the scalar field is rolling near a local maximum i"}
{"subject": "math:arxiv_6210", "predicate": "proves", "object": "quaternion analysis of time dependent maxwell s equations in presence of electric and magnetic charg"}
{"subject": "math:arxiv_6221", "predicate": "proves", "object": "the einstein equations are completely integrated in the presence of two ( incoming and outgoing ) st"}
{"subject": "math:arxiv_6235", "predicate": "proves", "object": "a simple model of an irreversible process is introduced . \n the equation of iterations in the model "}
{"subject": "math:arxiv_6254", "predicate": "proves", "object": "we report the results of extended high  resolution numerical integrations of the vlasov \n poisson eq"}
{"subject": "math:arxiv_6268", "predicate": "proves", "object": "for non - zero @xmath0 values , we present an analytical solution of the radial schrdinger equation "}
{"subject": "math:arxiv_6269", "predicate": "proves", "object": "we prove that the kauffman bracket skein algebra of a cylinder over a surface with boundary , define"}
{"subject": "math:arxiv_6297", "predicate": "proves", "object": "we give explicit calculations of the algebraic theory of power operations for a specific morava @xma"}
{"subject": "math:arxiv_6315", "predicate": "proves", "object": "in this paper we derive three equations of motion for a supernova remnant ( snr ) in the framework o"}
{"subject": "math:arxiv_6329", "predicate": "proves", "object": "it has been observed that most manifolds in the callahan - hildebrand - weeks census of cusped hyper"}
{"subject": "math:arxiv_6336", "predicate": "proves", "object": "in the paper we present an isothermal model for describing damage and fatigue by the use of the ginz"}
{"subject": "math:arxiv_6347", "predicate": "proves", "object": "we present an analysis of the constraining power of future measurements of the integrated sachs - wo"}
{"subject": "math:arxiv_6358", "predicate": "proves", "object": "we provide the classification of real forms of complex d=4 euclidean algebra @xmath0 as well as ( ps"}
{"subject": "math:arxiv_6377", "predicate": "proves", "object": "we measure the transverse thermoelectric coefficient @xmath0 in simulations of type - ii superconduc"}
{"subject": "math:arxiv_6380", "predicate": "proves", "object": "we prove the analogue of helly s theorem for systolic complexes . \n namely , we show that @xmath0-sy"}
{"subject": "math:arxiv_6398", "predicate": "proves", "object": "coupling by reflection mixed with synchronous coupling is constructed for a class of stochastic diff"}
{"subject": "math:arxiv_6400", "predicate": "proves", "object": "i describe the current status of a collaboration with j.  d.  romano , r.  h.  price , and w.  kriva"}
{"subject": "math:arxiv_6401", "predicate": "proves", "object": "motivated by the theory of unitary representations of finite dimensional lie supergroups , we descri"}
{"subject": "math:arxiv_6418", "predicate": "proves", "object": "we have investigated the nonlinear amplitude vector equation governing the evolution of optical puls"}
{"subject": "math:arxiv_6421", "predicate": "proves", "object": "we have used high resolution transmission spectroscopy to study the exciton level spectrum in cu@xma"}
{"subject": "math:arxiv_6422", "predicate": "proves", "object": "previously , in an effective field theory formulated by us , we have carried out parameter - free ca"}
{"subject": "math:arxiv_6435", "predicate": "proves", "object": "we get the leading term of the gurevich - pitaevskii special solution of the kdv equation in the osc"}
{"subject": "math:arxiv_6449", "predicate": "proves", "object": "a short period eclipsing binary star cv boo is tested for the possible existence of additional bodie"}
{"subject": "math:arxiv_6477", "predicate": "proves", "object": "we prove russo - seymour - welsh - type uniform bounds on crossing probabilities for the fk ising mo"}
{"subject": "math:arxiv_6482", "predicate": "proves", "object": "we consider the dirac particle living in the @xmath0-dimensional configuration space with a junction"}
{"subject": "math:arxiv_6486", "predicate": "proves", "object": "area metric manifolds emerge as effective classical backgrounds in quantum string theory and quantum"}
{"subject": "math:arxiv_6489", "predicate": "proves", "object": "we study the cauchy problem for the korteweg de vries ( kdv ) equation with small dispersion and wit"}
{"subject": "math:arxiv_6494", "predicate": "proves", "object": "we experimentally demonstrate optical trapping of @xmath0 atoms using a two - color evanescent field"}
{"subject": "math:arxiv_6501", "predicate": "proves", "object": "we investigate the berezin integral of non - compactly supported quantities . in the framework of su"}
{"subject": "math:arxiv_6519", "predicate": "proves", "object": "monte carlo simulations of the two - dimensional @xmath0 model are performed in a square geometry wi"}
{"subject": "math:arxiv_6529", "predicate": "proves", "object": "in this paper we investigate a solution of the dirac equation for a spin-@xmath0 particle in a scala"}
{"subject": "math:arxiv_6543", "predicate": "proves", "object": "in the framework of the schwinger - dyson equation and the bethe - salpeter equation in the improved"}
{"subject": "math:arxiv_6555", "predicate": "proves", "object": "we construct a real - analytic cr supermanifold @xmath0 , holomorphically embedded into a superquadr"}
{"subject": "math:arxiv_6556", "predicate": "proves", "object": "in the first days of quantum mechanics dirac pointed out an analogy between the time - dependent coe"}
{"subject": "math:arxiv_6559", "predicate": "proves", "object": "two qubit quantum computations are viewed as two player , strictly competitive games and a game - th"}
{"subject": "math:arxiv_6581", "predicate": "proves", "object": "the existence , uniqueness , and asymptotic behavior of steady transonic flows past a curved wedge ,"}
{"subject": "math:arxiv_6592", "predicate": "proves", "object": "a combined effective model reproducing the equation of state of hadronic matter as obtained in recen"}
{"subject": "math:arxiv_6595", "predicate": "proves", "object": "the extended euclidean algorithm ( eea ) for polynomial greatest common divisors is commonly used in"}
{"subject": "math:arxiv_6603", "predicate": "proves", "object": "a canonical hyperkhler metric on the total space @xmath0 of a cotangent bundle to a complex manifold"}
{"subject": "math:arxiv_6609", "predicate": "proves", "object": "we fully generalize a previously - developed computational geometry tool @xcite to perform large - s"}
{"subject": "math:arxiv_6617", "predicate": "proves", "object": "we give an elementary proof of the fact that any orientable 3-manifold admits a framing ( i.e. is pa"}
{"subject": "math:arxiv_6626", "predicate": "proves", "object": "in this paper , we study massive gravity in the presence of born - infeld nonlinear electrodynamics "}
{"subject": "math:arxiv_6627", "predicate": "proves", "object": "in this document , we describe the fractal structure of the netsukuku topology . \n moreover , we sho"}
{"subject": "math:arxiv_6639", "predicate": "proves", "object": "we study how far the index theorem can be extrapolated from the continuum to finite lattices with fi"}
{"subject": "math:arxiv_6657", "predicate": "proves", "object": "we present a normal form for travelling waves in one - dimensional excitable media in form of a diff"}
{"subject": "math:arxiv_6664", "predicate": "proves", "object": "we develop a holomorphic functional calculus for ( multivalued linear ) operators on locally convex "}
{"subject": "math:arxiv_6673", "predicate": "proves", "object": "tropical geometry is used to develop a new approach to the theory of discriminants and resultants in"}
{"subject": "math:arxiv_6679", "predicate": "proves", "object": "the quantization scheme by noncommutative geometry developed in string theory is applied to establis"}
{"subject": "math:arxiv_6681", "predicate": "proves", "object": "the question of existence of general , asymptotically flat radiative spacetimes and examples of expl"}
{"subject": "math:arxiv_6688", "predicate": "proves", "object": "by using overlap majorana fermions , the @xmath0 chiral multiple can be formulated so that the super"}
{"subject": "math:arxiv_6702", "predicate": "proves", "object": "we review recent developments in lattice siumulations of the equation of state , order of the therma"}
{"subject": "math:arxiv_6712", "predicate": "proves", "object": "three models of a flat universe of coupled matter and dark energies with different low - redshift pa"}
{"subject": "math:arxiv_6713", "predicate": "proves", "object": "a generalization of the gram - schmidt procedure is achieved by providing equations for updating and"}
{"subject": "math:arxiv_6719", "predicate": "proves", "object": "we find a transformation which relates a new third - order integrable nonlinear evolution equation ,"}
{"subject": "math:arxiv_6728", "predicate": "proves", "object": "we numerically solve the boltzmann equation for trapped fermions in the normal phase using the test "}
{"subject": "math:arxiv_6729", "predicate": "proves", "object": "the configuration space of the planar three - body problem when collisions are excluded has a rich t"}
{"subject": "math:arxiv_6730", "predicate": "proves", "object": "mayer s second theorem in the context of a classical gas model allows us to write the coefficients o"}
{"subject": "math:arxiv_6733", "predicate": "proves", "object": "once the set of finite graphs is equipped with an algebra structure ( arising from the definition of"}
{"subject": "math:arxiv_6746", "predicate": "proves", "object": "we give a direct non - abstract proof of the spectral mapping theorem for the helffer - sjstrand fun"}
{"subject": "math:arxiv_6747", "predicate": "proves", "object": "the paper presents an evolutionary game - theoretic approach to open access publishing as an asymmet"}
{"subject": "math:arxiv_6754", "predicate": "proves", "object": "the covariance evolution is a system of differential equations with respect to the covariance of the"}
{"subject": "math:arxiv_6761", "predicate": "proves", "object": "the formalism of frozen - in vortex lines for two - dimensional ( 2d ) flows in ideal incompressible"}
{"subject": "math:arxiv_6763", "predicate": "proves", "object": "we investigate the recently quantified misalignment of @xmath0 between the 3-d geometry of stereosco"}
{"subject": "math:arxiv_6776", "predicate": "proves", "object": "the collective raman cooling of trapped one- and two - component fermi gases is considered . \n we ob"}
{"subject": "math:arxiv_6778", "predicate": "proves", "object": "we show that for a big class of contact manifolds the groups of order @xmath0 invariants ( with valu"}
{"subject": "math:arxiv_6788", "predicate": "proves", "object": "light - cone quantization always involves the solution of differential constraint equations . \n the "}
{"subject": "math:arxiv_6793", "predicate": "proves", "object": "we present several results on the geometry of the quantum projective plane . \n they include : explic"}
{"subject": "math:arxiv_6804", "predicate": "proves", "object": "we present new spherically symmetric , dyonic soliton and black hole solutions of the @xmath0 einste"}
{"subject": "math:arxiv_6811", "predicate": "proves", "object": "the big bounce ( bb ) transition within a flat friedmann - robertson - walker model is analyzed in t"}
{"subject": "math:arxiv_6847", "predicate": "proves", "object": "we show that the security proof of the bennett 1992 protocol over loss - free channel in ( k.  tamak"}
{"subject": "math:arxiv_6849", "predicate": "proves", "object": "in this paper , we find a bound for the number of the positive solutions to the titled equation , im"}
{"subject": "math:arxiv_6860", "predicate": "proves", "object": "consider a manifold endowed with the action of a lie group . \n we study the relation between the coh"}
{"subject": "math:arxiv_6876", "predicate": "proves", "object": "we perform numerical simulations of the su(2 ) boltzmann - vlasov equation including both hard elast"}
{"subject": "math:arxiv_6879", "predicate": "proves", "object": "the structure of the moduli space of @xmath0 supersymmetric gauge theories is analyzed from an algeb"}
{"subject": "math:arxiv_6900", "predicate": "proves", "object": "we use heegaard splittings to give a criterion for a tunnel number one knot manifold to be non - fib"}
{"subject": "math:arxiv_6919", "predicate": "proves", "object": "in the paper the epr - bohm scenario will be reproduced in an algebraic quantum field theoretical se"}
{"subject": "math:arxiv_6924", "predicate": "proves", "object": "dimensional regularization is used to derive the equations of motion of two point masses in harmonic"}
{"subject": "math:arxiv_6931", "predicate": "proves", "object": "in this paper , we investigate the one - dimensional derivative nonlinear schrdinger equations of th"}
{"subject": "math:arxiv_6950", "predicate": "proves", "object": "tropical algebraic geometry is the geometry of the tropical semiring @xmath0 . \n the theory of total"}
{"subject": "math:arxiv_6959", "predicate": "proves", "object": "issues that are specific for formulating fermions in light - cone quantization are discussed . \n spe"}
{"subject": "math:arxiv_6961", "predicate": "proves", "object": "we give some closed formulas for certain vectors of the canonical bases of the fock space representa"}
{"subject": "math:arxiv_6972", "predicate": "proves", "object": "in this paper , following the work of chen , l and pope , we present the general metric for kerr-(a)"}
{"subject": "math:arxiv_6975", "predicate": "proves", "object": "we consider a car - following model described by a delay difference equation and give its exact solu"}
{"subject": "math:arxiv_6984", "predicate": "proves", "object": "in the context of mod - gaussian convergence , as defined previously in our work with j. jacod , we "}
{"subject": "math:arxiv_6992", "predicate": "proves", "object": "we present a conjecture on the exact location of the multicritical point in the phase diagram of spi"}
{"subject": "math:arxiv_7033", "predicate": "proves", "object": "we investigate double transitivity of galois groups in the classical schubert calculus on grassmanni"}
{"subject": "math:arxiv_7052", "predicate": "proves", "object": "we continue our study of ends of non - compact manifolds , with a focus on the inward tameness condi"}
{"subject": "math:arxiv_7074", "predicate": "proves", "object": "in this work we relate the well - known no - go theorem that two non - orthogonal ( mixed ) quantum "}
{"subject": "math:arxiv_7085", "predicate": "proves", "object": "in this note we describe the theory of functional asynchronous networks and one of the main results "}
{"subject": "math:arxiv_7092", "predicate": "proves", "object": "using an effective strongly coupled lattice qcd hamiltonian and wilson fermions we calculate the equ"}
{"subject": "math:arxiv_7101", "predicate": "proves", "object": "we have implemented non - collinear gga and a generalized bloch s theorem to simulate unconmensurate"}
{"subject": "math:arxiv_7105", "predicate": "proves", "object": "the van der waals quintessence equation of state is an interesting scenario for describing the late "}
{"subject": "math:arxiv_7106", "predicate": "proves", "object": "we revise the notion of the _ quasi - sectorial _ contractions . \n our main theorem establishes a re"}
{"subject": "math:arxiv_7110", "predicate": "proves", "object": "many - particle electron states in semiconductor quantum dots with carrier - mediated ferromagnetism"}
{"subject": "math:arxiv_7116", "predicate": "proves", "object": "we state a general formula to compute the volume of the intersection of the regular @xmath0-simplex "}
{"subject": "math:arxiv_7117", "predicate": "proves", "object": "motivated by the sharp contrast between classical and quantum physics as probability theories , in t"}
{"subject": "math:arxiv_7120", "predicate": "proves", "object": "we study the analytic continuation used by lewkowycz and maldacena to prove the ryu - takayanagi for"}
{"subject": "math:arxiv_7121", "predicate": "proves", "object": "we consider chiral blocks of four ramond fields of the @xmath0 super virasoro algebra where one of t"}
{"subject": "math:arxiv_7145", "predicate": "proves", "object": "in this paper we generalize the local removable singularity theorem in  @xcite for minimal laminatio"}
{"subject": "math:arxiv_7178", "predicate": "proves", "object": "we consider a region @xmath0 in @xmath1 with boundary @xmath2 and a metric @xmath3 on @xmath0 confor"}
{"subject": "math:arxiv_7184", "predicate": "proves", "object": "a master equation approach is applied to a reversible and conservative cellular automata model ( q2r"}
{"subject": "math:arxiv_7187", "predicate": "proves", "object": "we analyze inexact fixed point iterations where the generating function contains an inexact solve of"}
{"subject": "math:arxiv_7195", "predicate": "proves", "object": "we determine which three - manifolds are dominated by products . \n the result is that a closed , ori"}
{"subject": "math:arxiv_7208", "predicate": "proves", "object": "sharp upper bounds for the first eigenvalue of the laplacian on a surface of a fixed area are known "}
{"subject": "math:arxiv_7225", "predicate": "proves", "object": "process algebra has been successful in many ways ; but we do nt yet see the lineaments of a fundamen"}
{"subject": "math:arxiv_7252", "predicate": "proves", "object": "we discuss the stability properties of the solutions of the general nonlinear schrdinger   equation "}
{"subject": "math:arxiv_7268", "predicate": "proves", "object": "the scalar field can behave like a fluid with equation of state @xmath0 , where @xmath1 $ ] . in thi"}
{"subject": "math:arxiv_7270", "predicate": "proves", "object": "we study the stability of a multicomponent exciton - polariton fluid under resonant excitation withi"}
{"subject": "math:arxiv_7271", "predicate": "proves", "object": "el soufi - ilias theorem establishes a connection between minimal submanifolds of spheres and extrem"}
{"subject": "math:arxiv_7275", "predicate": "proves", "object": "we investigate a commonly used formula which seems to give non - integral vacuum charge in the conti"}
{"subject": "math:arxiv_7279", "predicate": "proves", "object": "based on green s function formalism , the existence of multiple mobility edges in a one - dimensiona"}
{"subject": "math:arxiv_7281", "predicate": "proves", "object": "we present a formulation of the interaction between a given source field and a scalar huygens metasu"}
{"subject": "math:arxiv_7284", "predicate": "proves", "object": "take @xmath0 to be an exponential structure and @xmath1 to be the number of minimal elements of @xma"}
{"subject": "math:arxiv_7300", "predicate": "proves", "object": "we describe constructing solutions of the field equations of chern - simons and topological bf theor"}
{"subject": "math:arxiv_7322", "predicate": "proves", "object": "two phenomenological variable @xmath0 models , viz . @xmath1 and @xmath2 have been studied under the"}
{"subject": "math:arxiv_7343", "predicate": "proves", "object": "a mathematical model is developed to analyze the growth / decay rate of surface perturbations of an "}
{"subject": "math:arxiv_7345", "predicate": "proves", "object": "the spectral function of the closed - shell neon atom is computed by expanding the electron self - e"}
{"subject": "math:arxiv_7356", "predicate": "proves", "object": "we present an analytic formulation for the equilibrium gas density profile of early - type galaxies "}
{"subject": "math:arxiv_7362", "predicate": "proves", "object": "we study fluctuations of the number of bose condensed atoms in weakly interacting homogeneous and tr"}
{"subject": "math:arxiv_7376", "predicate": "proves", "object": "this is a survey on the state - of - the - art of the classification of finite - dimensional complex"}
{"subject": "math:arxiv_7393", "predicate": "proves", "object": "the semiclassical trace formula provides the basic construction from which one derives the semiclass"}
{"subject": "math:arxiv_7423", "predicate": "proves", "object": "it has been conjectured that the bosonic open string theory around the non - perturbative tachyon va"}
{"subject": "math:arxiv_7425", "predicate": "proves", "object": "we propose a new numerical scheme of evolution for the einstein equations using the discrete variati"}
{"subject": "math:arxiv_7429", "predicate": "proves", "object": "the article describes a model of chess based on information theory . a mathematical model of the par"}
{"subject": "math:arxiv_7442", "predicate": "proves", "object": "we present two schemes for driving raman transitions between the ground state hyperfine manifolds of"}
{"subject": "math:arxiv_7450", "predicate": "proves", "object": "the so - called negative mode problem in the path integral approach to the false vacuum decay with t"}
{"subject": "math:arxiv_7453", "predicate": "proves", "object": "we set up a framework for the study of the power - suppressed three - parton contribution to the pio"}
{"subject": "math:arxiv_7456", "predicate": "proves", "object": "the fundamental solutions of diffusion equation for the local - equilibrium and nonlocal models are "}
{"subject": "math:arxiv_7470", "predicate": "proves", "object": "we prove that refined analytic torsion on a manifold with boundary is an analytic section of the det"}
{"subject": "math:arxiv_7488", "predicate": "proves", "object": "polynomial chaos expansions ( pce ) allow us to propagate uncertainties in the coefficients of diffe"}
{"subject": "math:arxiv_7498", "predicate": "proves", "object": "we analyze in detail the discrete  time quantum walk on the line by separating the quantum evolution"}
{"subject": "math:arxiv_7503", "predicate": "proves", "object": "high - frequency ultrasonic pulses at 36  mhz are used to measure velocity profiles in a complex flu"}
{"subject": "math:arxiv_7505", "predicate": "proves", "object": "we investigate transitions between topologically ordered phases in two spatial dimensions induced by"}
{"subject": "math:arxiv_7530", "predicate": "proves", "object": "field theoretical models with first order lagrangean can be formulated in a covariant hamiltonian fo"}
{"subject": "math:arxiv_7548", "predicate": "proves", "object": "an efficient method is proposed for numerical solutions of nonlinear schrdinger equations in an unbo"}
{"subject": "math:arxiv_7556", "predicate": "proves", "object": "let @xmath0 be a banach  lie group with involutive automorphism @xmath1 , @xmath2 be the @xmath1-eig"}
{"subject": "math:arxiv_7560", "predicate": "proves", "object": "conditional independence models in the gaussian case are algebraic varieties in the cone of positive"}
{"subject": "math:arxiv_7562", "predicate": "proves", "object": "we give a proposal to generalize the concept of the differential equations on time scales @xcite , s"}
{"subject": "math:arxiv_7567", "predicate": "proves", "object": "this paper is concerned with the asymptotic expansions of the amplitude of the solution of the helmh"}
{"subject": "math:arxiv_7579", "predicate": "proves", "object": "modular categories are a well - known source of quantum 3manifold invariants . in this paper \n we st"}
{"subject": "math:arxiv_7590", "predicate": "proves", "object": "the work treats dynamical systems given by ordinary differential equations in the form @xmath0 where"}
{"subject": "math:arxiv_7591", "predicate": "proves", "object": "the wetting flows are controlled by the contact line motion . \n we derive an equation that describes"}
{"subject": "math:arxiv_7622", "predicate": "proves", "object": "we have modeled laser - induced transient current waveforms in radiation coplanar grid detectors . \n"}
{"subject": "math:arxiv_7623", "predicate": "proves", "object": "solving the exact renormalisation group equation  la wilson - polchinski perturbatively , we derive "}
{"subject": "math:arxiv_7641", "predicate": "proves", "object": "meson transition amplitudes of the vector , axial \n vector , and tensor quark currents are analyzed "}
{"subject": "math:arxiv_7642", "predicate": "proves", "object": "we study the three dimensional active scalar equation called the magneto - geostropic equation which"}
{"subject": "math:arxiv_7646", "predicate": "proves", "object": "in this paper , the radiation field is defined for solutions to einstein vacuum equations which are "}
{"subject": "math:arxiv_7664", "predicate": "proves", "object": "surface wave patterns are investigated experimentally in a system geometry that has become a paradig"}
{"subject": "math:arxiv_7678", "predicate": "proves", "object": "we extend a theory of first order @xmath0 corrections to gutzwiller s trace formula for systems with"}
{"subject": "math:arxiv_7680", "predicate": "proves", "object": "we model lagrangian lateral mixing and transport of passive scalars in meandering oceanic jet curren"}
{"subject": "math:arxiv_7682", "predicate": "proves", "object": "for smooth manifolds equipped with various geometric structures , we construct complexes that replac"}
{"subject": "math:arxiv_7693", "predicate": "proves", "object": "the overlap formulation of regulated vectorial and chiral gauge theories is reviewed . \n ostensibly "}
{"subject": "math:arxiv_7702", "predicate": "proves", "object": "cartan matrices are of fundamental importance in representation theory . for algebras defined by qui"}
{"subject": "math:arxiv_7723", "predicate": "proves", "object": "the impact of an external electric field on the spin relaxation in a disordered , two - dimensional "}
{"subject": "math:arxiv_7736", "predicate": "proves", "object": "the importance of lattice gauge field interpolation for our recent non - perturbative formulation of"}
{"subject": "math:arxiv_7758", "predicate": "proves", "object": "we study the quantum mechanics of self - gravitating thin shell collapse by solving the polymerized "}
{"subject": "math:arxiv_7759", "predicate": "proves", "object": "we present a class of higher dimensional solutions to einstein - maxwell equations in @xmath0dimensi"}
{"subject": "math:arxiv_7771", "predicate": "proves", "object": "scattering for the energy critical non - linear wave equation for domains exterior to non trapping o"}
{"subject": "math:arxiv_7776", "predicate": "proves", "object": "the solution of the time - dependent schrdinger equation is discussed for a particle confined in hal"}
{"subject": "math:arxiv_7782", "predicate": "proves", "object": "though topological aspects of energy bands are known to play a key role in quantum transport in soli"}
{"subject": "math:arxiv_7785", "predicate": "proves", "object": "we formulate a theory of current - induced spin torques in inhomogeneous iii - v ferromagnetic semic"}
{"subject": "math:arxiv_7813", "predicate": "proves", "object": "the spreading dynamics of surfactant molecules on a thin fluid layer is of both fundamental and prac"}
{"subject": "math:arxiv_7817", "predicate": "proves", "object": "we give a detailed analysis of the cost used by the @xmath0-evolutionary algorithm . \n the problem h"}
{"subject": "math:arxiv_7819", "predicate": "proves", "object": "einstein s field equations in general relativity admit a variety of solutions with spacetime singula"}
{"subject": "math:arxiv_7820", "predicate": "proves", "object": "* abstract : * in this paper , we search the existence of bianchi - v string cosmological model in @"}
{"subject": "math:arxiv_7826", "predicate": "proves", "object": "many models of heavy ion collisions employ relativistic hydrodynamics to describe the system evoluti"}
{"subject": "math:arxiv_7872", "predicate": "proves", "object": "long s equation describes two dimensional stratified atmospheric flow over terrain which is represen"}
{"subject": "math:arxiv_7879", "predicate": "proves", "object": "there is strong evidence indicating that the particular form used to recast the einstein equation as"}
{"subject": "math:arxiv_7881", "predicate": "proves", "object": "in this paper , we consider a time - optimal control problem with uncertainties . \n dynamics of cont"}
{"subject": "math:arxiv_7882", "predicate": "proves", "object": "we develop spectral theory for the generator of the @xmath0-boson ( stochastic ) particle system . \n"}
{"subject": "math:arxiv_7884", "predicate": "proves", "object": "we give a survey of recent classification results for von neumann algebras @xmath0 arising from meas"}
{"subject": "math:arxiv_7889", "predicate": "proves", "object": "in this paper , the problem of compressible flow over a thin airfoil located near the ground is stud"}
{"subject": "math:arxiv_7910", "predicate": "proves", "object": "we establish a deformation isomorphism between the algebras of @xmath0-biinvariant compactly support"}
{"subject": "math:arxiv_7912", "predicate": "proves", "object": "in this paper we demonstrate that lindblad equations characterized by a random rate variable arise a"}
{"subject": "math:arxiv_7937", "predicate": "proves", "object": "we analyze the results of a recent experiment with bosonic rubidium atoms harmonically confined in a"}
{"subject": "math:arxiv_7947", "predicate": "proves", "object": "a semi - riemannian manifold is said to satisfy @xmath0 ( or @xmath1 ) if spacelike sectional curvat"}
{"subject": "math:arxiv_7948", "predicate": "proves", "object": "closed flrw universe of three - dimensional einstein gravity with positive cosmological constant is "}
{"subject": "math:arxiv_7949", "predicate": "proves", "object": "in 2004 , carter , elhamdadi and saito defined a homology theory for set - theoretic yang - baxter o"}
{"subject": "math:arxiv_7971", "predicate": "proves", "object": "this paper presents equational - based logics for proving first order properties of programming lang"}
{"subject": "math:arxiv_8001", "predicate": "proves", "object": "we obtain an exact solution for the breather lattice solution of the modified korteweg - de vries ( "}
{"subject": "math:arxiv_8019", "predicate": "proves", "object": "we propose a method to associate a differentiable riemannian manifold to a generic many degrees of f"}
{"subject": "math:arxiv_8036", "predicate": "proves", "object": "we study the dynamics of two - dimensional coherent structures in planetary atmospheres and oceans ."}
{"subject": "math:arxiv_8040", "predicate": "proves", "object": "the trigonometric kz equations associated to a lie algebra @xmath0 depend on a parameter @xmath1 whe"}
{"subject": "math:arxiv_8041", "predicate": "proves", "object": "we present a detailed experimental procedure for preparing relativistic vortices , governed by the n"}
{"subject": "math:arxiv_8049", "predicate": "proves", "object": "we provide a precise definition and analysis of quantum causal histories ( qch s ) . \n a qch consist"}
{"subject": "math:arxiv_8051", "predicate": "proves", "object": "we consider the algebro - geometric consequences of integration by parts . \n 4.5 mm    * 2000 mathem"}
{"subject": "math:arxiv_8063", "predicate": "proves", "object": "we study the relevance of various scalar equations , such as inviscid burgers , korteweg - de vries "}
{"subject": "math:arxiv_8064", "predicate": "proves", "object": "we will display the fundamental structure of classical electrodynamics . starting from the axioms of"}
{"subject": "math:arxiv_8074", "predicate": "proves", "object": "we clarify the mechanism of accelerated core formation by large - scale nonlinear flows in subcritic"}
{"subject": "math:arxiv_8076", "predicate": "proves", "object": "we report quantum monte carlo ( qmc ) , plane - wave density - functional theory ( dft ) , and inter"}
{"subject": "math:arxiv_8085", "predicate": "proves", "object": "we define refined invariants which `` count '' nodal curves in sufficiently ample linear systems on "}
{"subject": "math:arxiv_8106", "predicate": "proves", "object": "force fluctuations in granular materials are investigated . \n a continuum equation is derived starti"}
{"subject": "math:arxiv_8108", "predicate": "proves", "object": "according to a recent conjecture , isospectral objects have different nodal count sequences @xcite ."}
{"subject": "math:arxiv_8115", "predicate": "proves", "object": "in this note , we announce a complete classification of stability of periodic roll - wave solutions "}
{"subject": "math:arxiv_8133", "predicate": "proves", "object": "a clifford algebra @xmath0 jointly with a clifford cogebra @xmath1 is said to be a clifford biconvol"}
{"subject": "math:arxiv_8163", "predicate": "proves", "object": "the geometry of d - branes can be probed by open string scattering . \n if the background carries a n"}
{"subject": "math:arxiv_8168", "predicate": "proves", "object": "a new algebraic cubature formula of degree @xmath0 for the product chebyshev measure in the @xmath1-"}
{"subject": "math:arxiv_8188", "predicate": "proves", "object": "we extend the homogeneous modified chaplygin cosmologies to large - scale perturbations by formulati"}
{"subject": "math:arxiv_8192", "predicate": "proves", "object": "we describe a method to show short time uniqueness results for viscosity solutions of general nonloc"}
{"subject": "math:arxiv_8199", "predicate": "proves", "object": "we study the cauchy problem for the sine - gordon equation in the semiclassical limit with pure - im"}
{"subject": "math:arxiv_8203", "predicate": "proves", "object": "we address the dynamics of adsorbed molecules ( a fundamental issue in surface physics ) within the "}
{"subject": "math:arxiv_8231", "predicate": "proves", "object": "under the thomas - fermi approximation , a relatively much simpler analytical solutions of the coupl"}
{"subject": "math:arxiv_8242", "predicate": "proves", "object": "we discuss in detail the semiclassical approximation for the cghs model of two - dimensional dilaton"}
{"subject": "math:arxiv_8244", "predicate": "proves", "object": "foundations of _ algebrodynamics _ based on earlier proposed equations of _ biquaternionic holomorph"}
{"subject": "math:arxiv_8253", "predicate": "proves", "object": "in this paper we study dynamical chiral symmetry breaking in dimensionally regularized quenched qed "}
{"subject": "math:arxiv_8270", "predicate": "proves", "object": "we present numerical solutions of the gross  pitaevskii equation corresponding to reconnecting vorte"}
{"subject": "math:arxiv_8297", "predicate": "proves", "object": "it is shown that the truncated euler equations , _ i_.e . \n a finite set of ordinary differential eq"}
{"subject": "math:arxiv_8299", "predicate": "proves", "object": "let @xmath0 be a @xmath1-dimensional symplectic vector space over an algebraically closed field @xma"}
{"subject": "math:arxiv_8302", "predicate": "proves", "object": "we derive inner and outer bounds on the capacity region for a class of three - user partially connec"}
{"subject": "math:arxiv_8307", "predicate": "proves", "object": "volume estimates of metric balls in manifolds find diverse applications in information and coding th"}
{"subject": "math:arxiv_8326", "predicate": "proves", "object": "we prove that hochschild cohomology of a certain class of fully group - graded algebras is a mackey "}
{"subject": "math:arxiv_8336", "predicate": "proves", "object": "we construct finite group actions on lagrangian floer theory when symplectic manifolds have finite g"}
{"subject": "math:arxiv_8343", "predicate": "proves", "object": "we present a model for the spine of relativistic mhd outflows in the kerr geometry . \n meridional se"}
{"subject": "math:arxiv_8359", "predicate": "proves", "object": "the time evolution of several interacting ginzburg - landau vortices according to an equation of sch"}
{"subject": "math:arxiv_8366", "predicate": "proves", "object": "spin-1/2 magnets with kagom geometry , being for years a generic object of theoretical investigation"}
{"subject": "math:arxiv_8413", "predicate": "proves", "object": "in this letter we apply a method recently devised in @xcite to find precise approximate solutions to"}
{"subject": "math:arxiv_8416", "predicate": "proves", "object": "a general analytical formula for recurrence relations of multisite interaction ising models in an ex"}
{"subject": "math:arxiv_8426", "predicate": "proves", "object": "in a study of _ chandra _ high energy transmission grating spectra of algol , we clearly detect dopp"}
{"subject": "math:arxiv_8448", "predicate": "proves", "object": "this paper introduces a new difference scheme to the difference equations for n - body type problems"}
{"subject": "math:arxiv_8457", "predicate": "proves", "object": "solutions of partial differential equations ( pdes ) on manifolds have provided important applicatio"}
{"subject": "math:arxiv_8475", "predicate": "proves", "object": "we prove a bosonic formula for the generating function of level - restricted paths for the infinite "}
{"subject": "math:arxiv_8480", "predicate": "proves", "object": "this paper investigates the shadow of a charged rotating non - commutative black hole . for this pur"}
{"subject": "math:arxiv_8482", "predicate": "proves", "object": "some ostrowski type inequalities via cauchy s mean value theorem and applications for certain partic"}
{"subject": "math:arxiv_8483", "predicate": "proves", "object": "reflection of x  rays from cool material around a black hole is one of the few observational diagnos"}
{"subject": "math:arxiv_8485", "predicate": "proves", "object": "motion camouflage is a stealth strategy observed in nature . \n we formulate the problem as a feedbac"}
{"subject": "math:arxiv_8492", "predicate": "proves", "object": "in this work , we generalize the daurizio - sndor inequalities ( @xcite ) using an elementary approa"}
{"subject": "math:arxiv_8494", "predicate": "proves", "object": "we study the seiberg  witten invariant @xmath0 of smooth spin @xmath1-manifolds @xmath2 with rationa"}
{"subject": "math:arxiv_8513", "predicate": "proves", "object": "in this work we consider random boolean networks that provide a general model for _ genetic regulato"}
{"subject": "math:arxiv_8516", "predicate": "proves", "object": "we prove an effective version of a theorem of dufresnoy : for any set of @xmath0 hyperplanes in gene"}
{"subject": "math:arxiv_8517", "predicate": "proves", "object": "hasse constants and their basic properties are introduced to facilitate the connection between the l"}
{"subject": "math:arxiv_8519", "predicate": "proves", "object": "@xmath0-meson light - cone distribution amplitudes are discussed in these lectures in the framework "}
{"subject": "math:arxiv_8558", "predicate": "proves", "object": "we consider an efficient preconditioner for boundary integral equation ( bie ) formulations of the t"}
{"subject": "math:arxiv_8561", "predicate": "proves", "object": "the low temperature relaxation of the magnetization in molecular magnetic solids such as 8 is studie"}
{"subject": "math:arxiv_8596", "predicate": "proves", "object": "we study a system of two coupled nonlinear schrdinger equations , where one equation includes gain a"}
{"subject": "math:arxiv_8645", "predicate": "proves", "object": "we present the results of an exhaustive numerical study of fully relativistic non - axisymmetric bon"}
{"subject": "math:arxiv_8651", "predicate": "proves", "object": "the _ geometric motivic poincar series _ of a germ @xmath0 of complex algebraic variety takes into a"}
{"subject": "math:arxiv_8660", "predicate": "proves", "object": "cloaking using complementary media was suggested by lai et al . in @xcite . \n the study of this prob"}
{"subject": "math:arxiv_8661", "predicate": "proves", "object": "the phonon propagation dynamics in a phononic crystal waveguide , realized via a suspended one - dim"}
{"subject": "math:arxiv_8679", "predicate": "proves", "object": "we study the nonequilibrium dynamics of a many - body bosonic system on a lattice , subject to drivi"}
{"subject": "math:arxiv_8695", "predicate": "proves", "object": "we calculate the magnetization torque due to the spin polarization of the itinerant electrons by der"}
{"subject": "math:arxiv_8715", "predicate": "proves", "object": "we propose a number of variational regularisation methods for the estimation and decomposition of mo"}
{"subject": "math:arxiv_8734", "predicate": "proves", "object": "a robust numerical method called the preconditioned bi - conjugate gradient ( pre - bicg ) method is"}
{"subject": "math:arxiv_8749", "predicate": "proves", "object": "we study finite order invariants of null - homotopic immersions of a closed orientable surface into "}
{"subject": "math:arxiv_8751", "predicate": "proves", "object": "non perturbative results from lattice qcd will be discussed , namely : vacuum condensates and qcd su"}
{"subject": "math:arxiv_8756", "predicate": "proves", "object": "the disk embedding lemma is a technique underlying the topological classification results in @xmath0"}
{"subject": "math:arxiv_8768", "predicate": "proves", "object": "we study a chaotic ratchet system under the influence of a thermal environment . by direct integrati"}
{"subject": "math:arxiv_8777", "predicate": "proves", "object": "we study the stability / instability of the subsonic travelling waves of the nonlinear schrdinger eq"}
{"subject": "math:arxiv_8778", "predicate": "proves", "object": "crane and frenkel proposed a state sum invariant for triangulated 4-manifolds . \n they defined and u"}
{"subject": "math:arxiv_8780", "predicate": "proves", "object": "we consider a reaction - diffusion equation in narrow random channels . \n we approximate the general"}
{"subject": "math:arxiv_8798", "predicate": "proves", "object": "a new high - order conservative finite element method for darcy flow is presented . \n the key ingred"}
{"subject": "math:arxiv_8802", "predicate": "proves", "object": "we study partially and totally associative ternary algebras of first and second kind . assuming the "}
{"subject": "math:arxiv_8826", "predicate": "proves", "object": "we study the two dimensional xy model with quenched random phases and its coulomb gas formulation . "}
{"subject": "math:arxiv_8834", "predicate": "proves", "object": "using a specific model for the expansion rate of the universe as a function of scale factor , it is "}
{"subject": "math:arxiv_8841", "predicate": "proves", "object": "i review the main characteristics of structure formation in the quintessential universe . assuming e"}
{"subject": "math:arxiv_8846", "predicate": "proves", "object": "wide range equation of state ( eos ) for liquid hydrogen is ultimately built by combining two kinds "}
{"subject": "math:arxiv_8858", "predicate": "proves", "object": "we introduce definitions of contact blow  up from several perspectives . \n such different approaches"}
{"subject": "math:arxiv_8866", "predicate": "proves", "object": "let @xmath0 be a hyperbolic surface . \n we investigate the topology of the space of all curves on @x"}
{"subject": "math:arxiv_8875", "predicate": "proves", "object": "for nonnegative real numbers @xmath0 , @xmath1 , @xmath2 , @xmath3 , @xmath4 and @xmath5 such that @"}
{"subject": "math:arxiv_8878", "predicate": "proves", "object": "in a _ closed @xmath0-cell embedding _ of a graph each face is homeomorphic to an open disk and is b"}
{"subject": "math:arxiv_8880", "predicate": "proves", "object": "we study the octonionic selfduality equations for @xmath0-branes in the light cone gauge and we cons"}
{"subject": "math:arxiv_8892", "predicate": "proves", "object": "according to the gottesmann - knill theorem the non - gaussian states are necessary component for a "}
{"subject": "math:arxiv_8911", "predicate": "proves", "object": "the fuzzy disc is a discretization of the algebra of functions on the two dimensional disc using fin"}
{"subject": "math:arxiv_8918", "predicate": "proves", "object": "explicit 2-d axisymmetric solutions are found to the hydrostatic equilibrium , energy balance , and "}
{"subject": "math:arxiv_8922", "predicate": "proves", "object": "we consider three types of subdiffusion models , namely single - term , multi - term and distributed"}
{"subject": "math:arxiv_8929", "predicate": "proves", "object": "we derive a mode - coupling theory for the slow dynamics of fluids confined in disordered porous med"}
{"subject": "math:arxiv_8930", "predicate": "proves", "object": "a multistable system generated by a piecewise linear ( pwl ) system based on the jerky equation is p"}
{"subject": "math:arxiv_8933", "predicate": "proves", "object": "we present modelling of line polarization to study multi - dimensional geometry of stripped - envelo"}
{"subject": "math:arxiv_8934", "predicate": "proves", "object": "this paper concerns the class of contractible open 3-manifolds which are `` locally finite strong en"}
{"subject": "math:arxiv_8946", "predicate": "proves", "object": "stepwise refinement of algebraic specifications is a well known formal methodology for program devel"}
{"subject": "math:arxiv_8953", "predicate": "proves", "object": "a supersymmetric formulation of a three - dimensional sym  chern  simons theory using light - cone q"}
{"subject": "math:arxiv_8955", "predicate": "proves", "object": "we establish a cheeger - mller theorem for unimodular representations satisfying a witt condition on"}
{"subject": "math:arxiv_8959", "predicate": "proves", "object": "a quaternionic version of quantum mechanics is constructed using the schwinger formulation based on "}
{"subject": "math:arxiv_8970", "predicate": "proves", "object": "we consider 1d burgers equation driven by large - scale white - in - time random force . \n the tails"}
{"subject": "math:arxiv_8978", "predicate": "proves", "object": "we construct an algebra of smooth functions over the tangent groupoid associated to any lie groupoid"}
{"subject": "math:arxiv_8994", "predicate": "proves", "object": "we introduce the notion of gepner type bridgeland stability conditions on triangulated categories , "}
{"subject": "math:arxiv_9046", "predicate": "proves", "object": "we present a new technique for constructing solutions of quasilinear systems of first - order partia"}
{"subject": "math:arxiv_9057", "predicate": "proves", "object": "this paper provides a precise sense in which the time @xmath0 map for the euler equations of an idea"}
{"subject": "math:arxiv_9059", "predicate": "proves", "object": "we study the whitham equations for all the higher order kdv equations . \n the whitham equations are "}
{"subject": "math:arxiv_9079", "predicate": "proves", "object": "a generalized version of the tknn - equations computing hall conductances for generalized dirac - li"}
{"subject": "math:arxiv_9084", "predicate": "proves", "object": "recently the chiral algebra of beilinson - drinfeld draws much attention in the mathematical physics"}
{"subject": "math:arxiv_9115", "predicate": "proves", "object": "we present an estimator - based control design procedure for flow control , using reduced - order mo"}
{"subject": "math:arxiv_9130", "predicate": "proves", "object": "this is an addition to a series of papers @xcite , where we develop quaternionic analysis from the p"}
{"subject": "math:arxiv_9140", "predicate": "proves", "object": "we propose a matrix evolution equation in @xmath0-space for flavour singlet , unintegrated quark and"}
{"subject": "math:arxiv_9155", "predicate": "proves", "object": "it is well known that a straight nambu - goto string is an exact solution of the equations of motion"}
{"subject": "math:arxiv_9159", "predicate": "proves", "object": "utilizing an appropriate ansatz to the wave function , we reproduce the exact bound - state solution"}
{"subject": "math:arxiv_9176", "predicate": "proves", "object": "the problem of weakly correlated electrons on a square lattice is formulated in terms of one - loop "}
{"subject": "math:arxiv_9269", "predicate": "proves", "object": "we investigate the properties of the inverse limit of the algebras of local unitary invariant polyno"}
{"subject": "math:arxiv_9288", "predicate": "proves", "object": "information - theoretic derivations of the formalism of quantum theory have recently attracted much "}
{"subject": "math:arxiv_9292", "predicate": "proves", "object": "when using hartree - fock ( hf ) trial wave functions in quantum monte carlo calculations , one face"}
{"subject": "math:arxiv_9295", "predicate": "proves", "object": "we present a set of five axioms for fairness measures in resource allocation . \n a family of fairnes"}
{"subject": "math:arxiv_9309", "predicate": "proves", "object": "we explore the chiral transmission of electrons across graphene heterojunctions for electronic switc"}
{"subject": "math:arxiv_9320", "predicate": "proves", "object": "we consider a group of agents on a graph who repeatedly play the prisoner s dilemma game against the"}
{"subject": "math:arxiv_9322", "predicate": "proves", "object": "let @xmath0 be a computable ergodic shift - invariant measure over @xmath1 . providing a constructiv"}
{"subject": "math:arxiv_9344", "predicate": "proves", "object": "high - order spatial discretisations and full discretisations of parabolic partial differential equa"}
{"subject": "math:arxiv_9347", "predicate": "proves", "object": "we study the existence and stability of localized states in the discrete nonlinear schrdinger equati"}
{"subject": "math:arxiv_9364", "predicate": "proves", "object": "using a global equation of state , empirically derived by luding , we accurately model the density p"}
{"subject": "math:arxiv_9405", "predicate": "proves", "object": "the mathisson equations under the frenkel - mathisson supplementary condition are studied in a schwa"}
{"subject": "math:arxiv_9419", "predicate": "proves", "object": "we report on a study of the thermal dust emission of the circumstellar envelopes of a sample of clas"}
{"subject": "math:arxiv_9422", "predicate": "proves", "object": "we derive kramers formula as singular limit of the fokker - planck equation with double - well poten"}
{"subject": "math:arxiv_9424", "predicate": "proves", "object": "we derive simple difference formulas describing a small - signal absorption of thz field in a semico"}
{"subject": "math:arxiv_9446", "predicate": "proves", "object": "in the present work we consider a boundary value problem with gluing conditions of integral form for"}
{"subject": "math:arxiv_9447", "predicate": "proves", "object": "an unknown quantum state can not be copied on demand and broadcast freely due to the famous no - clo"}
{"subject": "math:arxiv_9448", "predicate": "proves", "object": "consider a coaction @xmath0 of a locally compact group @xmath1 on a @xmath2-algebra @xmath3 , and a "}
{"subject": "math:arxiv_9459", "predicate": "proves", "object": "we study the influence of the symmetry energy of the equation of state on the thermal evolution of p"}
{"subject": "math:arxiv_9464", "predicate": "proves", "object": "we consider the cauchy problem for nonlinear schrdinger equations in the presence of a smooth , poss"}
{"subject": "math:arxiv_9477", "predicate": "proves", "object": "we propose a model equation for the dynamics of tree density in mesic savannas . \n it considers long"}
{"subject": "math:arxiv_9480", "predicate": "proves", "object": "an @xmath0-graph is an @xmath0-regular graph where every odd set of vertices is connected by at leas"}
{"subject": "math:arxiv_9487", "predicate": "proves", "object": "a description of photoassociation by cw laser is formulated in the framework of grid methods . \n the"}
{"subject": "math:arxiv_9489", "predicate": "proves", "object": "an ultrametric topology formalizes the notion of hierarchical structure . \n an ultrametric embedding"}
{"subject": "math:arxiv_9514", "predicate": "proves", "object": "we give an alternative proof of madsen - weiss _ generalized mumford conjecture_. our proof is based"}
{"subject": "math:arxiv_9519", "predicate": "proves", "object": "the possibility of existence of hyperons in the recently measured @xmath0 pulsar psrj1614 - 2230 is "}
{"subject": "math:arxiv_9522", "predicate": "proves", "object": "s3 t ( stochastic structural stability theory ) employs a closure at second order to obtain the dyna"}
{"subject": "math:arxiv_9523", "predicate": "proves", "object": "in this report , mathematical model for generalized nonlinear three dimensional wave breaking equati"}
{"subject": "math:arxiv_9530", "predicate": "proves", "object": "this is a survey of recent studies of singularity formation in solutions of spherically symmetric ya"}
{"subject": "math:arxiv_9537", "predicate": "proves", "object": "magnetic fluctuations in a non - magnetized gaseous plasma is revisited and calculated without appro"}
{"subject": "math:arxiv_9551", "predicate": "proves", "object": "we extend the fuglede - putnam theorem from the algebra @xmath0 of all bounded operators on the hilb"}
{"subject": "math:arxiv_9578", "predicate": "proves", "object": "for a given rotation number we compute the hausdorff dimension of the set of well approximable numbe"}
{"subject": "math:arxiv_9580", "predicate": "proves", "object": "we present exact solutions of the massless klein - gordon equation in a spacetime in which an infini"}
{"subject": "math:arxiv_9585", "predicate": "proves", "object": "we propose a two - photon beating experiment based upon biphotons generated from a resonant pumping "}
{"subject": "math:arxiv_9609", "predicate": "proves", "object": "we construct open book structures on moment - angle manifolds and give a new construction of example"}
{"subject": "math:arxiv_9627", "predicate": "proves", "object": "the potentials @xmath0 in the nonrelativistic ( relativistic ) nucleon - nucleon ( nn ) schrdinger e"}
{"subject": "math:arxiv_9632", "predicate": "proves", "object": "integro - differential methods , currently exploited in calculus , provide an inexhaustible source o"}
{"subject": "math:arxiv_9640", "predicate": "proves", "object": "in this brief comment , we consider the exact , deterministic , and nonasymptotic transformation of "}
{"subject": "math:arxiv_9648", "predicate": "proves", "object": "we derive the equations that describe adsorption of diffusing particles onto a surface followed by a"}
{"subject": "math:arxiv_9655", "predicate": "proves", "object": "genetic switch systems with mutual repression of two transcription factors are studied using determi"}
{"subject": "math:arxiv_9684", "predicate": "proves", "object": "we aim to understand the role of coulomb interactions as well as of different equations of state on "}
{"subject": "math:arxiv_9686", "predicate": "proves", "object": "we prove that every countable acylindrically hyperbolic group admits a highly transitive action with"}
{"subject": "math:arxiv_9697", "predicate": "proves", "object": "we compute lyapunov vectors ( lvs ) corresponding to the largest lyapunov exponents in delay - diffe"}
{"subject": "math:arxiv_9700", "predicate": "proves", "object": "we investigate resonant spin - flavor ( rsf ) conversions of supernova neutrinos which are induced b"}
{"subject": "math:arxiv_9717", "predicate": "proves", "object": "a langevin equation of heavy quarks in high - temperature quark - gluon plasma is derived . \n the dy"}
{"subject": "math:arxiv_9727", "predicate": "proves", "object": "in @xcite , the first author constructed the first known examples of exotic minimal symplectic @xmat"}
{"subject": "math:arxiv_9740", "predicate": "proves", "object": "we study the dynamical stability of the macroscopic quantum oscillations characterizing a system of "}
{"subject": "math:arxiv_9777", "predicate": "proves", "object": "a modified f(g ) gravity model with coupling between matter and geometry is proposed , which is desc"}
{"subject": "math:arxiv_9781", "predicate": "proves", "object": "to study the fluctuations and dynamics in chemical reaction processes , stochastic differential equa"}
{"subject": "math:arxiv_9782", "predicate": "proves", "object": "lensing in a spherically symmetric and static spacetime is considered , based on the lightlike geode"}
{"subject": "math:arxiv_9788", "predicate": "proves", "object": "two - body bound states such as mesons are described by solutions of the bethe  salpeter equation . "}
{"subject": "math:arxiv_9792", "predicate": "proves", "object": "a new approximation scheme , designed to solve the covariant maxwell equations inside a rotating hol"}
{"subject": "math:arxiv_9794", "predicate": "proves", "object": "we show there exists a linear function @xmath0 with the following property . \n let @xmath1 be a hype"}
{"subject": "math:arxiv_9796", "predicate": "proves", "object": "using a combination of s - matrix and perturbative qcd properties in the small @xmath0 regime , we p"}
{"subject": "math:arxiv_9797", "predicate": "proves", "object": "coulombian diffusion determines a dilution of bunching coefficients in free electron laser seeded de"}
{"subject": "math:arxiv_9856", "predicate": "proves", "object": "we classify ( possibly noncommutative ) algebras of low rank over a domain @xmath0 . \n we first revi"}
{"subject": "math:arxiv_9862", "predicate": "proves", "object": "we study the problem of conjunctive query evaluation over sets of queries ; this problem is formulat"}
{"subject": "math:arxiv_9869", "predicate": "proves", "object": "we explore the computation of high - harmonic generation spectra by means of gaussian basis sets in "}
{"subject": "math:arxiv_9891", "predicate": "proves", "object": "manifolds admitting positive sectional curvature are conjectured to have a very rigid homotopical st"}
{"subject": "math:arxiv_9896", "predicate": "proves", "object": "we compute haar ensemble averages of ratios of random characteristic polynomials for the classical l"}
{"subject": "math:arxiv_9906", "predicate": "proves", "object": "in the search for vacuum solutions , with or without a cosmological constant , @xmath0 , of the eins"}
{"subject": "math:arxiv_9923", "predicate": "proves", "object": "we study the conditions for persistent cooperation in an off - lattice model of mobile agents playin"}
{"subject": "math:arxiv_9929", "predicate": "proves", "object": "this paper investigates the existence of positive solutions of a singular boundary value problem wit"}
{"subject": "math:arxiv_9931", "predicate": "proves", "object": "in the present paper we are concerned with a numerical algorithm for the approximation of the two - "}
{"subject": "math:arxiv_9935", "predicate": "proves", "object": "lie - integration is one of the most efficient algorithms for numerical integration of ordinary diff"}
{"subject": "math:arxiv_9962", "predicate": "proves", "object": "in this paper , we consider a stochastic differential equation driven by a fractional brownian motio"}
{"subject": "math:arxiv_9964", "predicate": "proves", "object": "we have investigated a closed set of equations for the quark propagator , which has been obtained ea"}
{"subject": "math:arxiv_9976", "predicate": "proves", "object": "the spin \n network quantum simulator model , which essentially encodes the ( quantum deformed ) @xma"}
{"subject": "math:arxiv_9978", "predicate": "proves", "object": "we formulate lattice theories in which chiral symmetry is realized nonlinearly on the fermion fields"}
{"subject": "math:arxiv_9984", "predicate": "proves", "object": "we present a surprisingly short proof that for any continuous map @xmath0 , if @xmath1 , then there "}
{"subject": "math:arxiv_9988", "predicate": "proves", "object": "we study the impact of structural variations ( that is slowly varying geometry aberrations and inter"}
{"subject": "math:arxiv_10002", "predicate": "proves", "object": "two different induced effects of a laser falling edge on high - order harmonic generation are resolv"}
{"subject": "math:arxiv_10004", "predicate": "proves", "object": "recently , the @xmath0-nonconforming finite element space over square meshes has been proved stable "}
{"subject": "math:arxiv_10024", "predicate": "proves", "object": "in the proposed model with interaction between dark energy and dark matter , we consider cosmologica"}
{"subject": "math:arxiv_10025", "predicate": "proves", "object": "we describe an approach , based on direct numerical solution of the usadel equation , to finding sta"}
{"subject": "math:arxiv_10032", "predicate": "proves", "object": "recently , a self - contained trajectory - based formulation of non - relativistic quantum mechanics"}
{"subject": "math:arxiv_10045", "predicate": "proves", "object": "we construct exact functional renormalization group ( rg ) flow equations for non - relativistic fer"}
{"subject": "math:arxiv_10061", "predicate": "proves", "object": "trigonometric time integrators are introduced as a class of explicit numerical methods for quasiline"}
{"subject": "math:arxiv_10083", "predicate": "proves", "object": "it is shown that on the de sitter manifolds the tachyonic geodesics are restricted such that the cla"}
{"subject": "math:arxiv_10084", "predicate": "proves", "object": "we formulate two types of extension of the large deviation theory initiated by bahadur in a non - re"}
{"subject": "math:arxiv_10093", "predicate": "proves", "object": "the magnetic fields can change their topology through a process known as magnetic reconnection . \n t"}
{"subject": "math:arxiv_10100", "predicate": "proves", "object": "in a previous paper [ j. chem . \n phys . * 121 * 4501 ( 2004 ) ] a unique bipolar decomposition , @x"}
{"subject": "math:arxiv_10103", "predicate": "proves", "object": "we present numerical results concerning the solution of the time - harmonic maxwell equations discre"}
{"subject": "math:arxiv_10105", "predicate": "proves", "object": "we present an effective hamiltonian for a bilayer quantum hall system at filling factor @xmath0 negl"}
{"subject": "math:arxiv_10118", "predicate": "proves", "object": "making use of the energetics and equations of state of defective uranium dioxide that calculated wit"}
{"subject": "math:arxiv_10123", "predicate": "proves", "object": "crum s theorem in one - dimensional quantum mechanics asserts the existence of an associated hamilto"}
{"subject": "math:arxiv_10125", "predicate": "proves", "object": "in this work the interaction of electromagnetic field with quasi - periodic media has been scrutiniz"}
{"subject": "math:arxiv_10130", "predicate": "proves", "object": "we study the cauchy problem for a semilinear stochastic partial differential equation driven by a fi"}
{"subject": "math:arxiv_10166", "predicate": "proves", "object": "we investigate the effects of the nuclear equation of state ( eos ) to the neutron star cooling . \n "}
{"subject": "math:arxiv_10179", "predicate": "proves", "object": "there are no square @xmath0-flat sequences of polynomials of the type @xmath1 where for each @xmath2"}
{"subject": "math:arxiv_10183", "predicate": "proves", "object": "in this note we study  la baxter @xcite the possible integrable manifolds of the asymmetric eight - "}
{"subject": "math:arxiv_10190", "predicate": "proves", "object": "a remarkable formal similarity between koide s lepton mass formula and a generalized descartes circl"}
{"subject": "math:arxiv_10191", "predicate": "proves", "object": "the collision consistency between the bgk collision model equation and lattice - bgk ( lbgk ) model "}
{"subject": "math:arxiv_10197", "predicate": "proves", "object": "we develop a formulation for constructing and examining rapidly rotating newtonian neutron star mode"}
{"subject": "math:arxiv_10199", "predicate": "proves", "object": "the pompeiu problem is considered as shape optimization problem . we show stability of the ball whic"}
{"subject": "math:arxiv_10203", "predicate": "proves", "object": "in this paper we compute certain two - point integrals over a moduli space of stable maps into proje"}
{"subject": "math:arxiv_10205", "predicate": "proves", "object": "aiming for simplicity of explicit equations and at the same time controllable accuracy of the theory"}
{"subject": "math:arxiv_10225", "predicate": "proves", "object": "we propose a new approach to study the relation between the module categories of a tilted algebra @x"}
{"subject": "math:arxiv_10240", "predicate": "proves", "object": "we obtain new closed - form pricing formulas for contingent claims when the asset follows a dupire -"}
{"subject": "math:arxiv_10246", "predicate": "proves", "object": "let @xmath0 be a topologically finite , orientable 3manifold with ideal triangulation . we show that"}
{"subject": "math:arxiv_10249", "predicate": "proves", "object": "we suggested a monte carlo approach to simulate a kinetic equilibrium ensemble , and proved the equi"}
{"subject": "math:arxiv_10262", "predicate": "proves", "object": "transverse one dimensional foliations play an important role in the study of codimension one foliati"}
{"subject": "math:arxiv_10266", "predicate": "proves", "object": "in this paper , we give an algorithm to compute the hat version of heegaard floer homology of a clos"}
{"subject": "math:arxiv_10267", "predicate": "proves", "object": "in this paper we propose a kronecker - based modeling of large networks with unknown interconnection"}
{"subject": "math:arxiv_10292", "predicate": "proves", "object": "the liquid droplet formula is applied to an analysis of the properties of geometrical ( anti)cluster"}
{"subject": "math:arxiv_10296", "predicate": "proves", "object": "we study light propagation in a neutral weyl semimetal with the fermi level lying at the weyl nodes "}
{"subject": "math:arxiv_10299", "predicate": "proves", "object": "a two species reaction - diffusion model , in which particles diffuse on a one - dimensional lattice"}
{"subject": "math:arxiv_10302", "predicate": "proves", "object": "consider an asymptotically flat riemannian manifold @xmath0 of dimension @xmath1 with nonempty compa"}
{"subject": "math:arxiv_10319", "predicate": "proves", "object": "the mollification @xmath0 put forward by feng is computed by analytic methods coming from the techni"}
{"subject": "math:arxiv_10327", "predicate": "proves", "object": "an original method to exactly solve the non - markovian master equation describing the interaction o"}
{"subject": "math:arxiv_10331", "predicate": "proves", "object": "abstract    after a brief review of spin networks and their interpretation as wave functions for the"}
{"subject": "math:arxiv_10337", "predicate": "proves", "object": "we address the question of when cluster - tilted algebras of dynkin type @xmath0 are derived equival"}
{"subject": "math:arxiv_10340", "predicate": "proves", "object": "the monoidal category of soergel bimodules can be thought of as a categorification of the hecke alge"}
{"subject": "math:arxiv_10344", "predicate": "proves", "object": "based on the asymptotic analysis of ordinary differential equations , we classify all spherically sy"}
{"subject": "math:arxiv_10348", "predicate": "proves", "object": "we revisit the image charge method for the green s function problem of the poisson - boltzmann equat"}
{"subject": "math:arxiv_10350", "predicate": "proves", "object": "we perform a first- principles derivation of the general master equation to study the non - markovia"}
{"subject": "math:arxiv_10362", "predicate": "proves", "object": "physicists believe , with some justification , that there should be a correspondence between familia"}
{"subject": "math:arxiv_10396", "predicate": "proves", "object": "we study the optical bistability of an optomechanical system in which the position of a mechanical o"}
{"subject": "math:arxiv_10404", "predicate": "proves", "object": "we study brownian motion and the associated langevin equation in ads / cft . \n the brownian particle"}
{"subject": "math:arxiv_10411", "predicate": "proves", "object": "we show that simply connected projective manifolds in characteristic @xmath0 have no nontrivial stra"}
{"subject": "math:arxiv_10416", "predicate": "proves", "object": "quantum systems with sublevel structures prevent full population inversion from one manifold of subl"}
{"subject": "math:arxiv_10419", "predicate": "proves", "object": "the inner structure of neutron star is considered from theoretical point of view and is compared wit"}
{"subject": "math:arxiv_10420", "predicate": "proves", "object": "we consider a compact riemann surface with a holomorphic involution , two marked fixed points of the"}
{"subject": "math:arxiv_10431", "predicate": "proves", "object": "a recently developed analytical method for systematic improvement of the convergence of path integra"}
{"subject": "math:arxiv_10441", "predicate": "proves", "object": "i review the basics of perturbative qcd , including infrared divergences and safety , collinear and "}
{"subject": "math:arxiv_10451", "predicate": "proves", "object": "the capture numbers entering the rate equations ( re ) for submonolayer film growth are determined f"}
{"subject": "math:arxiv_10452", "predicate": "proves", "object": "we consider numeration systems where digits are integers and the base is an algebraic number @xmath0"}
{"subject": "math:arxiv_10464", "predicate": "proves", "object": "we introduce a non - hermitian approximation of bloch optical equations . \n this approximation provi"}
{"subject": "math:arxiv_10480", "predicate": "proves", "object": "let @xmath0 . for @xmath1 and @xmath2 , we put @xmath3 . _ a projective flow _ is a solution to the "}
{"subject": "math:arxiv_10483", "predicate": "proves", "object": "in the theory and practice of inverse problems for partial differential equations ( pdes ) much atte"}
{"subject": "math:arxiv_10497", "predicate": "proves", "object": "we show that the problem of deciding whether a polygonal knot in a closed three - dimensional manifo"}
{"subject": "math:arxiv_10499", "predicate": "proves", "object": "we present a detailed analysis of the exact numerical spectrum of up to ten interacting electrons in"}
{"subject": "math:arxiv_10508", "predicate": "proves", "object": "we reexamine the scale dependence of twist - three correlation functions relevant for the single tra"}
{"subject": "math:arxiv_10521", "predicate": "proves", "object": "we construct branched double coverings by certain direct products of manifolds for connected sums of"}
{"subject": "math:arxiv_10533", "predicate": "proves", "object": "given a finite group @xmath0 , a @xmath0-covering of closed riemannian manifolds , and a so - called"}
{"subject": "math:arxiv_10545", "predicate": "proves", "object": "possibilities of generation of lower order and higher order intermodal entanglement in @xmath0 @xmat"}
{"subject": "math:arxiv_10551", "predicate": "proves", "object": "in a one - dimensional lattice , the induced metric ( from a noncommutative geometry calculation ) b"}
{"subject": "math:arxiv_10552", "predicate": "proves", "object": "an information - geometric approach to sensor management is introduced that is based on following ge"}
{"subject": "math:arxiv_10560", "predicate": "proves", "object": "we associate to each synchronous game an algebra whose representations determine if the game has a p"}
{"subject": "math:arxiv_10571", "predicate": "proves", "object": "among other things , we prove the following two topologcal statements about closed hyperbolic @xmath"}
{"subject": "math:arxiv_10584", "predicate": "proves", "object": "a finite difference upwind discretization scheme in two dimensions is presented in detail for the tr"}
{"subject": "math:arxiv_10596", "predicate": "proves", "object": "using the method of asymptotics beyond all orders , we evaluate the amplitude of radiation from a mo"}
{"subject": "math:arxiv_10603", "predicate": "proves", "object": "in the present article we solve the dirac - pauli and klein gordon equations in an asymptotically un"}
{"subject": "math:arxiv_10606", "predicate": "proves", "object": "while methods of code abstraction and reuse are widespread and well researched , methods of proof ab"}
{"subject": "math:arxiv_10622", "predicate": "proves", "object": "in this paper we show how gauge symmetries in an effective theory can be used to simplify proofs of "}
{"subject": "math:arxiv_10653", "predicate": "proves", "object": "the equations governing the vertical structure of a stationary keplerian accretion disc supporting a"}
{"subject": "math:arxiv_10657", "predicate": "proves", "object": "based on non - equilibrium thermodynamics we derive a set of general equations relating the partial "}
{"subject": "math:arxiv_10663", "predicate": "proves", "object": "an interleaver is a critical component for the channel coding performance of turbo codes . \n algebra"}
{"subject": "math:arxiv_10665", "predicate": "proves", "object": "we give a comprehensive treatment of the parabolic signorini problem based on a generalization of al"}
{"subject": "math:arxiv_10668", "predicate": "proves", "object": "using the hugenholtz - van hove theorem , we derive general expressions for the quadratic and quarti"}
{"subject": "math:arxiv_10676", "predicate": "proves", "object": "various properties of isoperimetric , functional , transport - entropy and concentration inequalitie"}
{"subject": "math:arxiv_10689", "predicate": "proves", "object": "we perform a deductive study of accelerating universe and focus on the importance of variable time -"}
{"subject": "math:arxiv_10691", "predicate": "proves", "object": "the rare decay @xmath0 can occur only via annihilation diagrams in the standard model . \n we calcula"}
{"subject": "math:arxiv_10698", "predicate": "proves", "object": "in this paper , the classical schrdinger equation , which allows the study of classical dynamics in "}
{"subject": "math:arxiv_10699", "predicate": "proves", "object": "we derive equations for fluid dynamics from a non - extensive boltzmann transport equation consisten"}
{"subject": "math:arxiv_10701", "predicate": "proves", "object": "we will discuss selected physical effects of spacetime geometry fluctuations , especially the operat"}
{"subject": "math:arxiv_10709", "predicate": "proves", "object": "the tunneling conductance spectra of a normal - metal / insulator / quasi - one - dimensional superc"}
{"subject": "math:arxiv_10715", "predicate": "proves", "object": "we challenge the hypothesis that the ground states of a physical system whose degeneracy depends on "}
{"subject": "math:arxiv_10716", "predicate": "proves", "object": "we investigate the behavior of the @xmath0 casson invariant for 3-manifolds obtained by dehn surgery"}
{"subject": "math:arxiv_10738", "predicate": "proves", "object": "in the framework of a multiorbital hubbard model description of superconductivity , a matrix formula"}
{"subject": "math:arxiv_10747", "predicate": "proves", "object": "we study the conditions under which an overdamped regime can be attained in the dynamic evolution of"}
{"subject": "math:arxiv_10751", "predicate": "proves", "object": "in the context of the conjectured ads - cft correspondence of string theory , we consider a class of"}
{"subject": "math:arxiv_10754", "predicate": "proves", "object": "the asymptotic shape of randomly growing radial clusters is studied . \n we pose the problem in terms"}
{"subject": "math:arxiv_10773", "predicate": "proves", "object": "we extend a lattice boltzmann algorithm of liquid crystal hydrodynamics to include an applied electr"}
{"subject": "math:arxiv_10782", "predicate": "proves", "object": "in 2001 ,  stlund  conjectured that reidemeister moves 1 and 3 are sufficient to describe a homotopy"}
{"subject": "math:arxiv_10830", "predicate": "proves", "object": "optical lattices with a large spacing between the minima of the optical potential can be created usi"}
{"subject": "math:arxiv_10832", "predicate": "proves", "object": "we discuss how to formulate lattice gauge theories in the tensor network language . in this way \n we"}
{"subject": "math:arxiv_10859", "predicate": "proves", "object": "in this paper , we associate to every @xmath0-adic representation @xmath1 a @xmath0-adic differentia"}
{"subject": "math:arxiv_10862", "predicate": "proves", "object": "following our previous work , we conclude that a grb standard candle constructed from the ghirlanda "}
{"subject": "math:arxiv_10890", "predicate": "proves", "object": "based on the consideration that the black hole horizon and the cosmological horizon of kerr - de sit"}
{"subject": "math:arxiv_10912", "predicate": "proves", "object": "we show that the distance between a finite filling slope and a reducible filling slope on the bounda"}
{"subject": "math:arxiv_10921", "predicate": "proves", "object": "several results in tropical geometry have related the @xmath0-invariant of an algebraic plane curve "}
{"subject": "math:arxiv_10927", "predicate": "proves", "object": "the detailed formulation for loop quantum cosmology ( lqc ) in the bianchi i model with a massless s"}
{"subject": "math:arxiv_10928", "predicate": "proves", "object": "we prove a function - field version of chebotarev s density theorem in the framework of difference a"}
{"subject": "math:arxiv_10936", "predicate": "proves", "object": "we present a new analytical three - parameter formula to fit observed column density profiles of pre"}
{"subject": "math:arxiv_10948", "predicate": "proves", "object": "in the first part of this paper we try to explain to a general mathematical audience some of the rem"}
{"subject": "math:arxiv_10953", "predicate": "proves", "object": "we study higher - dimensional soliton and hairy black hole solutions of the einstein equations non -"}
{"subject": "math:arxiv_10964", "predicate": "proves", "object": "the exponential decay of the relative entropy associated to a fully discrete porous - medium equatio"}
{"subject": "math:arxiv_10991", "predicate": "proves", "object": "in this paper we prove lusztig s conjecture on based ring for an affine weyl group of type @xmath0 ."}
{"subject": "math:arxiv_11004", "predicate": "proves", "object": "the topology of the internet has typically been measured by sampling _ traceroutes _ , which are rou"}
{"subject": "math:arxiv_11044", "predicate": "proves", "object": "gravitational and electromagnetic fields of an electron correspond to over - rotating kerr - newman "}
{"subject": "math:arxiv_11068", "predicate": "proves", "object": "we develop a parametric high - resolution method for the estimation of the frequency nodes of linear"}
{"subject": "math:arxiv_11072", "predicate": "proves", "object": "we develop a phenomenological mapping between submonolayer polynuclear growth ( png ) and the interf"}
{"subject": "math:arxiv_11079", "predicate": "proves", "object": "the geometry of the multifractional brownian motion ( mbm ) is known to present a complex and surpri"}
{"subject": "math:arxiv_11080", "predicate": "proves", "object": "we show the possibility of extracting important information on the symmetry term of the equation of "}
{"subject": "math:arxiv_11086", "predicate": "proves", "object": "in this paper , we consider the problem of translating ltl formulas to bchi automata . \n we first tr"}
{"subject": "math:arxiv_11090", "predicate": "proves", "object": "we consider geometric flow equations for contracting and expanding normal velocities , including pow"}
{"subject": "math:arxiv_11097", "predicate": "proves", "object": "an exact solution to the friedmann equations with a string inspired phantom scalar matter field is c"}
{"subject": "math:arxiv_11103", "predicate": "proves", "object": "we discuss the effect of the finite size of galaxies on estimating small - scale relative pairwise p"}
{"subject": "math:arxiv_11106", "predicate": "proves", "object": "we discuss how the geometry of @xmath0-@xmath1 branes may be related to gromov - witten theory of ca"}
{"subject": "math:arxiv_11110", "predicate": "proves", "object": "equilibrium equations in the form of complementarity conditions often appear as constraints in optim"}
{"subject": "math:arxiv_11113", "predicate": "proves", "object": "we define algebraic structures on graph cohomology and prove that they correspond to algebraic struc"}
{"subject": "math:arxiv_11124", "predicate": "proves", "object": "a general diffuse interface model with a realistic equation of state ( e.g. peng - robinson equation"}
{"subject": "math:arxiv_11126", "predicate": "proves", "object": "we introduce and study graphic lambda calculus , a visual language which can be used for representin"}
{"subject": "math:arxiv_11129", "predicate": "proves", "object": "the paper considers a distributed robust estimation problem over a network with directed topology in"}
{"subject": "math:arxiv_11133", "predicate": "proves", "object": "in these notes we describe the basic formulation of the parametrization scheme for the instantaneous"}
{"subject": "math:arxiv_11139", "predicate": "proves", "object": "a discretized massless wave equation in two dimensions , on an appropriately chosen square lattice ,"}
{"subject": "math:arxiv_11143", "predicate": "proves", "object": "the fractal properties of four - dimensional euclidean simplicial manifold generated by the dynamica"}
{"subject": "math:arxiv_11150", "predicate": "proves", "object": "in this paper we address the temporal energy growth associated with numerical approximations of the "}
{"subject": "math:arxiv_11154", "predicate": "proves", "object": "a new parameterization for the dark energy equation of state(eos ) is proposed and some of its cosmo"}
{"subject": "math:arxiv_11155", "predicate": "proves", "object": "we describe a computational proof that the fifth secant variety of the segre product of five copies "}
{"subject": "math:arxiv_11169", "predicate": "proves", "object": "in this paper we introduce a ltb - bianchi i ( plane symmetric ) model of universe . \n we study and "}
{"subject": "math:arxiv_11178", "predicate": "proves", "object": "leclerc and zelevinsky described quasicommuting families of quantum minors in terms of a certain com"}
{"subject": "math:arxiv_11183", "predicate": "proves", "object": "we obtain explicit formulas for the number of non - isomorphic elliptic curves with a given group st"}
{"subject": "math:arxiv_11187", "predicate": "proves", "object": "we study certain stationary and time - evolution problems of trapped bose - einstein condensates of "}
{"subject": "math:arxiv_11189", "predicate": "proves", "object": "we consider the observability model in networks with arbitrary topologies . \n we introduce a system "}
{"subject": "math:arxiv_11213", "predicate": "proves", "object": "a polynomial has _ saturated newton polytope _ ( snp ) if every lattice point of the convex hull of "}
{"subject": "math:arxiv_11231", "predicate": "proves", "object": "in this paper we study a filtered  @xmath0-theoretical \" analog of a graded algebra associated to an"}
{"subject": "math:arxiv_11238", "predicate": "proves", "object": "we consider a prototypical dynamical lattice model , namely the discrete nonlinear schrdinger equati"}
{"subject": "math:arxiv_11242", "predicate": "proves", "object": "we present results concerning resolvent estimates for the linear operator associated with the system"}
{"subject": "math:arxiv_11250", "predicate": "proves", "object": "we obtain the exact nontopological soliton lattice solutions of the associated lam equation in diffe"}
{"subject": "math:arxiv_11262", "predicate": "proves", "object": "we use free probability techniques to compute borders of spectra of non hermitian operators in finit"}
{"subject": "math:arxiv_11273", "predicate": "proves", "object": "we calculate the tunneling conductance spectra of a ferromagnetic metal / insulator / triplet superc"}
{"subject": "math:arxiv_11280", "predicate": "proves", "object": "we exhibit infinitely many overtwisted , right  veering , non \n destabilizable open books , thus pro"}
{"subject": "math:arxiv_11283", "predicate": "proves", "object": "we derive an alternative representation for the relativistic non  local kinetic energy operator and "}
{"subject": "math:arxiv_11287", "predicate": "proves", "object": "the dual - kinetic - balance ( dkb ) finite basis set method for solving the dirac equation for hydr"}
{"subject": "math:arxiv_11288", "predicate": "proves", "object": "we classify noninvertible , holomorphic selfmaps of the projective plane that preserve an algebraic "}
{"subject": "math:arxiv_11295", "predicate": "proves", "object": "we explore the possibility that the dynamics of the universe can be reproduced choosing appropriatel"}
{"subject": "math:arxiv_11300", "predicate": "proves", "object": "typically , there is no guarantee that a numerical approximation obtained using standard nonlinear e"}
{"subject": "math:arxiv_11310", "predicate": "proves", "object": "using the hugenholtz - van hove theorem , we derive analytical expressions for the nuclear symmetry "}
{"subject": "math:arxiv_11323", "predicate": "proves", "object": "we establish several analogues of the classical lidskii theorem for some special classes of singular"}
{"subject": "math:arxiv_11332", "predicate": "proves", "object": "we formulate the first order fermi acceleration in shock waves in terms of the random walk theory . "}
{"subject": "math:arxiv_11348", "predicate": "proves", "object": "we consider the gaussian free field on @xmath0 , @xmath1 , and prove that the critical density for p"}
{"subject": "math:arxiv_11349", "predicate": "proves", "object": "we have performed fully 3-d simulations of the collapse of molecular cloud cores which obey the loga"}
{"subject": "math:arxiv_11351", "predicate": "proves", "object": "we apply the lindstedt method to the one dimensional fermi - pasta - ulam @xmath0 lattice to find fu"}
{"subject": "math:arxiv_11360", "predicate": "proves", "object": "a hydrodynamic formulation of the evolution of large - scale structure in the universe is presented "}
{"subject": "math:arxiv_11362", "predicate": "proves", "object": "the sine - gordon equation is a nonlinear partial differential equation . \n it is known that the sin"}
{"subject": "math:arxiv_11371", "predicate": "proves", "object": "we relate the @xmath0-truncated kronecker products of symmetric functions to the semi - invariant ri"}
{"subject": "math:arxiv_11398", "predicate": "proves", "object": "in the first semester calculus course we learn how to solve optimization problems such as maximizing"}
{"subject": "math:arxiv_11399", "predicate": "proves", "object": "recently discovered quasi periodic oscillations in the x - ray brightness of low mass x - ray binari"}
{"subject": "math:arxiv_11407", "predicate": "proves", "object": "the influence of geometry and morphology of superconducting structure on critical currents and magne"}
{"subject": "math:arxiv_11417", "predicate": "proves", "object": "a microscopic approach has been employed to study the kaon productions in heavy ion collisions . \n t"}
{"subject": "math:arxiv_11424", "predicate": "proves", "object": "we present a systematic study of the energy of vanishing flow by considering symmetric colliding nuc"}
{"subject": "math:arxiv_11426", "predicate": "proves", "object": "we consider a two - component one - dimensional model of gap solitons ( gss ) , which is based on tw"}
{"subject": "math:arxiv_11466", "predicate": "proves", "object": "theorems on zeroes of the truncated generating function in the complex plane are reviewed . when exa"}
{"subject": "math:arxiv_11489", "predicate": "proves", "object": "a new numerical method is presented for solving the rotating shallow water equations on a rotating s"}
{"subject": "math:arxiv_11490", "predicate": "proves", "object": "we introduce here the concept of relative space , an extended 3-space which is recognized as the onl"}
{"subject": "math:arxiv_11492", "predicate": "proves", "object": "we solve einstein s constraint equations in the conformal thin - sandwich decomposition to model thi"}
{"subject": "math:arxiv_11497", "predicate": "proves", "object": "we give an alternative perturbative proof of the renormalizability of the system defined by the grad"}
{"subject": "math:arxiv_11513", "predicate": "proves", "object": "let @xmath0 be a closed orientable surface . \n we give an explicit formula for the number mod 2 of q"}
{"subject": "math:arxiv_11533", "predicate": "proves", "object": "we investigate the rigidity of hyperbolic cone metrics on @xmath0-manifolds which are isometric glui"}
{"subject": "math:arxiv_11548", "predicate": "proves", "object": "in this paper , we propose a theoretical scheme of ghost imaging in terms of @xmath0th - order corre"}
{"subject": "math:arxiv_11581", "predicate": "proves", "object": "a novel functional integral formulation of quantum mechanics for non - lagrangian systems is present"}
{"subject": "math:arxiv_11588", "predicate": "proves", "object": "numerical solution of equations governing time domain simulations in computational electromagnetics "}
{"subject": "math:arxiv_11612", "predicate": "proves", "object": "we give skein theoretic formulas for minimal idempotents in the birman - murakami - wenzl algebras ."}
{"subject": "math:arxiv_11617", "predicate": "proves", "object": "the impression gained from the literature published to date is that the spectrum of the stadium bill"}
{"subject": "math:arxiv_11635", "predicate": "proves", "object": "the isoscalar octupole response of a heavy spherical nucleus is analyzed in a semiclassical model ba"}
{"subject": "math:arxiv_11641", "predicate": "proves", "object": "we study massive charged fermionic perturbations in the background of a charged two - dimensional di"}
{"subject": "math:arxiv_11665", "predicate": "proves", "object": "we discuss the approximation of distributed null controls for partial differential equations . \n the"}
{"subject": "math:arxiv_11692", "predicate": "proves", "object": "we study propagating alfvn waves by solving the time - dependent equations of magnetohydrodynamics ("}
{"subject": "math:arxiv_11704", "predicate": "proves", "object": "we prove necessary optimality conditions for problems of the calculus of variations on time scales w"}
{"subject": "math:arxiv_11707", "predicate": "proves", "object": "the schrdinger equation in @xmath0-dimensions for the manning - rosen potential with the centrifugal"}
{"subject": "math:arxiv_11720", "predicate": "proves", "object": "a conjecture on the monotonicity of @xmath0-core partitions in an article of stanton [ open positivi"}
{"subject": "math:arxiv_11756", "predicate": "proves", "object": "a fully regulated definition of feynman s path integral is presented here . the proposed re - formul"}
{"subject": "math:arxiv_11767", "predicate": "proves", "object": "the ade classification scheme is encountered in many areas of mathematics , most notably in the stud"}
{"subject": "math:arxiv_11780", "predicate": "proves", "object": "the standard analytical approach for studying gravity free - surface waves generated by a moving bod"}
{"subject": "math:arxiv_11781", "predicate": "proves", "object": "a large - n diagrammatic approach is used to study coupled quantum dots in a parallel geometry . \n w"}
{"subject": "math:arxiv_11785", "predicate": "proves", "object": "recent observation of pulsar psr j1614 - 2230 with mass about 2 solar masses poses a severe constrai"}
{"subject": "math:arxiv_11786", "predicate": "proves", "object": "in this paper we propose a distributed algorithm for the estimation and control of the connectivity "}
{"subject": "math:arxiv_11795", "predicate": "proves", "object": "we review briefly the motivations for introducing additional group - theoretic data in tensor models"}
{"subject": "math:arxiv_11806", "predicate": "proves", "object": "we formulate the non - linear field theory for a fluctuating counter - ion distribution in the prese"}
{"subject": "math:arxiv_11830", "predicate": "proves", "object": "intergalactic medium ( igm ) metal absorption lines observed in @xmath0 spectra offer the opportunit"}
{"subject": "math:arxiv_11842", "predicate": "proves", "object": "a formulation of bit - string models of language evolution , based on differential equations for the"}
{"subject": "math:arxiv_11851", "predicate": "proves", "object": "a class of energy - transport equations without electric field under mixed dirichlet - neumann bound"}
{"subject": "math:arxiv_11857", "predicate": "proves", "object": "we present a unified approach to goodness - of - fit testing in @xmath0 and on lower - dimensional m"}
{"subject": "math:arxiv_11863", "predicate": "proves", "object": "almost from the inception of hilbert s program , foundational and structural efforts in proof theory"}
{"subject": "math:arxiv_11865", "predicate": "proves", "object": "in recent years , planck - scale modifications to particles dispersion relation have been deeply stu"}
{"subject": "math:arxiv_11877", "predicate": "proves", "object": "a ( smooth ) dynamical system with transformation group @xmath0 is a triple @xmath1 , consisting of "}
{"subject": "math:arxiv_11906", "predicate": "proves", "object": "this project work report provides a full solution of simplified navier stokes equations for the inco"}
{"subject": "math:arxiv_11913", "predicate": "proves", "object": "we present a mapping of dynamical graphs and , in particular , the graphs used in the quantum graphi"}
{"subject": "math:arxiv_11928", "predicate": "proves", "object": "a basic distinction , long overlooked , between the conventional , `` idealistic '' formulation of q"}
{"subject": "math:arxiv_11932", "predicate": "proves", "object": "conductive organic polymers can be formulated with polymers that incorporate fine dispersed metallic"}
{"subject": "math:arxiv_11949", "predicate": "proves", "object": "the homomorphism problem for relational structures is an abstract way of formulating constraint sati"}
{"subject": "math:arxiv_11950", "predicate": "proves", "object": "we define jones s planar algebra as a map of multicategories and constuct a planar algebra starting "}
{"subject": "math:arxiv_11959", "predicate": "proves", "object": "we present a rigorous mathematical framework for analyzing dynamics of a broad class of boolean netw"}
{"subject": "math:arxiv_11963", "predicate": "proves", "object": "with ( nonbarotropic ) equations of state valid even when the neutron , proton and electron content "}
{"subject": "math:arxiv_11966", "predicate": "proves", "object": "a new method to solve dirac equation in 3d lattice is proposed , in which the variational collapse p"}
{"subject": "math:arxiv_11969", "predicate": "proves", "object": "we reformulate the strong - interaction limit of electronic density functional theory in terms of a "}
{"subject": "math:arxiv_11988", "predicate": "proves", "object": "this paper presents hyperbolic rank rigidity results for rank 1 , nonpositively curved spaces . \n le"}
{"subject": "math:arxiv_11992", "predicate": "proves", "object": "the following question is addressed : under what conditions can a strange diffusive process , define"}
{"subject": "math:arxiv_12010", "predicate": "proves", "object": "the solution of the hyperangular schrdinger equation for few - body systems using a basis of explici"}
{"subject": "math:arxiv_12021", "predicate": "proves", "object": "motivated by a careful analysis of the laplacian on the supergroup @xmath0 we formulate a proposal f"}
{"subject": "math:arxiv_12023", "predicate": "proves", "object": "in this article , we study the _ time - dependent _ aharonov - bohm effect for non - abelian gauge f"}
{"subject": "math:arxiv_12045", "predicate": "proves", "object": "we have performed small - angle light - scattering measurements of the static structure factor of a "}
{"subject": "math:arxiv_12064", "predicate": "proves", "object": "we report _ ab initio _ calculations of the dielectric function of six mono- and bilayer molybdenum "}
{"subject": "math:arxiv_12079", "predicate": "proves", "object": "the formalism of kohn and sham uses a specific ( model ) hamiltonian which highly simplifies the man"}
{"subject": "math:arxiv_12096", "predicate": "proves", "object": "@xmath0prolog  is known to be well - suited for expressing and implementing logics and inference sys"}
{"subject": "math:arxiv_12110", "predicate": "proves", "object": ". pleijel has proved that in the case of the laplacian on the square with neumann condition , the eq"}
{"subject": "math:arxiv_12115", "predicate": "proves", "object": "the westervelt equation is a model for the propagation of finite amplitude ultrasound . \n the method"}
{"subject": "math:arxiv_12135", "predicate": "proves", "object": "we analyze diffusion equations in strongly coupled coulomb mixtures of ions in dense stellar matter "}
{"subject": "math:arxiv_12147", "predicate": "proves", "object": "we compare the structural properties of the street networks of ten different european cities using t"}
{"subject": "math:arxiv_12157", "predicate": "proves", "object": "we discuss the quantum action principles and equations of motion for heavy quark effective field the"}
{"subject": "math:arxiv_12166", "predicate": "proves", "object": "in this review , we give an introduction to the structural and functional properties of the biologic"}
{"subject": "math:arxiv_12176", "predicate": "proves", "object": "although the internet as - level topology has been extensively studied over the past few years , lit"}
{"subject": "math:arxiv_12192", "predicate": "proves", "object": "we give a simple formula for the signature of a foldable triangulation of a lattice polygon in terms"}
{"subject": "math:arxiv_12199", "predicate": "proves", "object": "if a given behavior of a multi - agent system corresponds to restrict the phase variable to a invari"}
{"subject": "math:arxiv_12201", "predicate": "proves", "object": "we have conducted a detailed analysis of the emission geometry of a handful of radio pulsars that ha"}
{"subject": "math:arxiv_12202", "predicate": "proves", "object": "we introduce and study some affine hecke algebras of type ade , generalising the affine hecke algebr"}
{"subject": "math:arxiv_12214", "predicate": "proves", "object": "photonic crystals have great potential for use as laser - driven accelerator structures . \n a photon"}
{"subject": "math:arxiv_12250", "predicate": "proves", "object": "in this paper the single and multibunch emittance growths in the main linac of a linear collider are"}
{"subject": "math:arxiv_12260", "predicate": "proves", "object": "we present a modification of the method of conical resolutions @xcite . \n we apply our construction "}
{"subject": "math:arxiv_12269", "predicate": "proves", "object": "we exhibit a new relationship between dynamic and static semantics . we define the categorical outla"}
{"subject": "math:arxiv_12271", "predicate": "proves", "object": "we derive the mass term of the bardeen metric in the presence of a noncommutative geometry induced m"}
{"subject": "math:arxiv_12276", "predicate": "proves", "object": "we study chemically driven running droplets on a partially wetting solid substrate by means of coupl"}
{"subject": "math:arxiv_12293", "predicate": "proves", "object": "' '' ''    we use standard distorted wave theory techniques and dimensional regularization to find o"}
{"subject": "math:arxiv_12300", "predicate": "proves", "object": "initial - boundary value problems for integrable nonlinear partial differential equations have becom"}
{"subject": "math:arxiv_12302", "predicate": "proves", "object": "we develop a new theory for treating boundary problems for linear ordinary differential equations wh"}
{"subject": "math:arxiv_12310", "predicate": "proves", "object": "we investigate superconductor / ferromagnet ( s / f ) hybrid structures in the dirty limit , describ"}
{"subject": "math:arxiv_12312", "predicate": "proves", "object": "the formulation of qcd which contains no divergences and no renormalization procedure is presented ."}
{"subject": "math:arxiv_12321", "predicate": "proves", "object": "we analyze the evolution equation describing all multiple hard pomeron exchanges in a hadronic or nu"}
{"subject": "math:arxiv_12325", "predicate": "proves", "object": "a type iia string compactified on a calabi \n yau manifold which admits a k3 fibration is believed to"}
{"subject": "math:arxiv_12328", "predicate": "proves", "object": "we use the evolving surface finite element method to solve a cahn - hilliard equation on an evolving"}
{"subject": "math:arxiv_12332", "predicate": "proves", "object": "we study distributed network flows as solvers in continuous time for the linear algebraic equation @"}
{"subject": "math:arxiv_12337", "predicate": "proves", "object": "we consider and compare four hamiltonian formulations of thermostated mechanics , three of them kine"}
{"subject": "math:arxiv_12365", "predicate": "proves", "object": "in this paper we study the mapping properties of the averaging operator over a variety given by a sy"}
{"subject": "math:arxiv_12385", "predicate": "proves", "object": "in this paper , we consider homology groups induced by the exterior algebra generated by a simplicia"}
{"subject": "math:arxiv_12386", "predicate": "proves", "object": "we use the representation theory of @xmath0 superconformal algebra to study the elliptic genera of c"}
{"subject": "math:arxiv_12389", "predicate": "proves", "object": "we semiclassically investigate schwinger pair production for pulsed rotating electric fields dependi"}
{"subject": "math:arxiv_12423", "predicate": "proves", "object": "we analyse the evolution of scalar and gauge fields during a second order phase transition using a l"}
{"subject": "math:arxiv_12428", "predicate": "proves", "object": "in this contribution , we present an application of a novel perturbation approach ( denoted as an ov"}
{"subject": "math:arxiv_12436", "predicate": "proves", "object": "the hessian of the entropy function can be thought of as a metric tensor on state space . in the con"}
{"subject": "math:arxiv_12461", "predicate": "proves", "object": "we present a new integral equation method for the calculation of two - dimensional scattering from p"}
{"subject": "math:arxiv_12469", "predicate": "proves", "object": "we use the distances introduced in a previous joint paper to exhibit the gradient flow structure of "}
{"subject": "math:arxiv_12478", "predicate": "proves", "object": "at the heart of many scientific applications is the solution of algebraic systems , such as linear s"}
{"subject": "math:arxiv_12493", "predicate": "proves", "object": "on montre la conjecture de breuil concernant la rduction modulo @xmath0 des reprsentations trianguli"}
{"subject": "math:arxiv_12501", "predicate": "proves", "object": "the boltzmann equation for inelastic maxwell models is used to determine the navier - stokes transpo"}
{"subject": "math:arxiv_12514", "predicate": "proves", "object": "we investigate the behaviors of entanglement entropy in the holographical insulator / superconductor"}
{"subject": "math:arxiv_12538", "predicate": "proves", "object": "the scattering of the electron by a domain wall in a nano - wire is calculated perturbatively to the"}
{"subject": "math:arxiv_12547", "predicate": "proves", "object": "the possible @xmath0 protonic superfluidity is investigated in neutron star matter , and the corresp"}
{"subject": "math:arxiv_12574", "predicate": "proves", "object": "long - lived , spatially localized , and temporally oscillating nonlinear excitations are predicted "}
{"subject": "math:arxiv_12603", "predicate": "proves", "object": "the landau - pomeranchuk - migdal effects on photon emission from the quark gluon plasma have been s"}
{"subject": "math:arxiv_12633", "predicate": "proves", "object": "the object of this paper is to introduce a new and fascinating method of solving large linear equati"}
{"subject": "math:arxiv_12640", "predicate": "proves", "object": "using highly efficient gpu - based simulations of the tight - binding bogoliubov - de gennes equatio"}
{"subject": "math:arxiv_12652", "predicate": "proves", "object": "we investigate the effect of assisted hopping in the anderson impurity model . \n we use the flow equ"}
{"subject": "math:arxiv_12687", "predicate": "proves", "object": "we consider a modification of the berry conjecture for eigenmode statistics in wave - bearing system"}
{"subject": "math:arxiv_12700", "predicate": "proves", "object": "a measured solenoid is a laminated space endowed with a tranversal measure invariant by holonomy . \n"}
{"subject": "math:arxiv_12712", "predicate": "proves", "object": "the geometric and algebraic properties of gray categories with duals are investigated by means of a "}
{"subject": "math:arxiv_12730", "predicate": "proves", "object": "two positive scalar curvature metrics @xmath0 , @xmath1 on a manifold @xmath2 are psc - isotopic if "}
{"subject": "math:arxiv_12734", "predicate": "proves", "object": "the discontinuous galerkin time - stepping method has many advantageous properties for solving parab"}
{"subject": "math:arxiv_12736", "predicate": "proves", "object": "in this article , we have given a systematic formulation of the new generalized competing mechanism "}
{"subject": "math:arxiv_12785", "predicate": "proves", "object": "consider the dirichlet - to - neumann operator @xmath0 in the exterior problem for the 2d helmholtz "}
{"subject": "math:arxiv_12790", "predicate": "proves", "object": "we discuss kraan - van baal - lee - lu ( kvbll ) solutions of the classical yang - mills equations w"}
{"subject": "math:arxiv_12800", "predicate": "proves", "object": "we provide an expanded and clarified proof of the famous result of bowen and ruelle giving an asympt"}
{"subject": "math:arxiv_12812", "predicate": "proves", "object": "we consider the braid groups @xmath0 on finite simplicial complexes @xmath1 , which are generalizati"}
{"subject": "math:arxiv_12820", "predicate": "proves", "object": "we consider the coupled einstein - dirac - maxwell equations for a static , spherically symmetric sy"}
{"subject": "math:arxiv_12830", "predicate": "proves", "object": "recent experimental evidence [ gruji _ et al . _ , plos one * 5 * , e13749 ( 2010 ) ] on the spatial"}
{"subject": "math:arxiv_12832", "predicate": "proves", "object": "we analyze the structure of the malvenuto - reutenauer hopf algebra @xmath0 of permutations in detai"}
{"subject": "math:arxiv_12838", "predicate": "proves", "object": "charge reversal of the planar electrical double layer is studied by means of a well known integral e"}
{"subject": "math:arxiv_12864", "predicate": "proves", "object": "we consider the klein - gordon equation in the non - relativistic limit regime , i.e. the speed of l"}
{"subject": "math:arxiv_12878", "predicate": "proves", "object": "hamiltonian and eigenstate problem is formulated for a bilayer graphene in terms of clifford s geome"}
{"subject": "math:arxiv_12881", "predicate": "proves", "object": "the problem to be studied in this work is within the context of coefficient identification problems "}
{"subject": "math:arxiv_12931", "predicate": "proves", "object": "based on numerical simulations and analytical calculations we formulate a new conjecture concerning "}
{"subject": "math:arxiv_12939", "predicate": "proves", "object": "a renormalization scheme which relies on energy - momentum and angular momentum balance equations is"}
{"subject": "math:arxiv_12952", "predicate": "proves", "object": "the gravitational field equations on cosmological scales are obtained by averaging the einstein fiel"}
{"subject": "math:arxiv_12954", "predicate": "proves", "object": "distance measuring is a very important task in digital geometry and digital image processing . due t"}
{"subject": "math:arxiv_12962", "predicate": "proves", "object": "in this work we formulate the reaction theory of parity violation in compound nuclear states using f"}
{"subject": "math:arxiv_12979", "predicate": "proves", "object": "we study the virial expansion of mixtures of countably many different types of particles . \n the mai"}
{"subject": "math:arxiv_12994", "predicate": "proves", "object": "we present results of numerical calculations showing a three - body orbit s period s @xmath0 depende"}
{"subject": "math:arxiv_13003", "predicate": "proves", "object": "we produce arbitrarily large equivalence classes of matings with the aeroplane polynomial . \n these "}
{"subject": "math:arxiv_13004", "predicate": "proves", "object": "we study the effects of noncommutativity , in the form of a lie - algebraically deformed poisson com"}
{"subject": "math:arxiv_13009", "predicate": "proves", "object": "we review a long - standing difficulty in some semiclassical models of vacuum and vacuum decay . \n s"}
{"subject": "math:arxiv_13010", "predicate": "proves", "object": "let @xmath0 be a connected , linear algebraic group defined over @xmath1 , acting regularly on a fin"}
{"subject": "math:arxiv_13039", "predicate": "proves", "object": "we discuss in rather general terms quantum field theories dealing with spaces of maps between rieman"}
{"subject": "math:arxiv_13052", "predicate": "proves", "object": "we discuss necessary as well as sufficient conditions for the second iterated local multiplier algeb"}
{"subject": "math:arxiv_13061", "predicate": "proves", "object": "an implicit euler finite - volume scheme for a spinorial matrix drift - diffusion model for semicond"}
{"subject": "math:arxiv_13077", "predicate": "proves", "object": "we study the kondo effect in a quantum dot coupled to half - metallic ferromagnetic electrodes in th"}
{"subject": "math:arxiv_13092", "predicate": "proves", "object": "we prove a root system uniform , concise combinatorial rule for schubert calculus of _ minuscule _ a"}
{"subject": "math:arxiv_13107", "predicate": "proves", "object": "we study spin @xmath0 and @xmath1 heisenberg antiferromagnets on a cubic lattice focusing on spin so"}
{"subject": "math:arxiv_13111", "predicate": "proves", "object": "we construct irreducible representations of affine khovanov - lauda - rouquier algebras of arbitrary"}
{"subject": "math:arxiv_13112", "predicate": "proves", "object": "we present two theorems concerned with algorithmic randomness and differentiability of functions of "}
{"subject": "math:arxiv_13125", "predicate": "proves", "object": "we find necessary and sufficient conditions for a complete riemannian manifold @xmath0 of finite vol"}
{"subject": "math:arxiv_13127", "predicate": "proves", "object": "we prove explicit versions of cramr s theorem for primes in arithmetic progressions , on the assumpt"}
{"subject": "math:arxiv_13136", "predicate": "proves", "object": "i present generalized formulas for approximate corrections to qcd hard - scattering cross sections t"}
{"subject": "math:arxiv_13149", "predicate": "proves", "object": "we describe a fluctuating volume  current formulation of electromagnetic fluctuations that extends o"}
{"subject": "math:arxiv_13151", "predicate": "proves", "object": "we study the behavior of the chern classes of graph hypersurfaces under the operation of deletion - "}
{"subject": "math:arxiv_13152", "predicate": "proves", "object": "the basic equations governing propagation of electromagnetic and gravitational waves in vacuum are n"}
{"subject": "math:arxiv_13160", "predicate": "proves", "object": "by using a reductive perturbation method , we derive from maxwell - bloch equations , a cubic genera"}
{"subject": "math:arxiv_13209", "predicate": "proves", "object": "we show that the mass - radius @xmath0 relation corresponding to the stiffest equation of state ( eo"}
{"subject": "math:arxiv_13243", "predicate": "proves", "object": "one considers the monistic conception of a geometry , where there is only one fundamental quantity ("}
{"subject": "math:arxiv_13253", "predicate": "proves", "object": "we study noisy computation in randomly generated k - ary boolean formulas . \n we establish bounds on"}
{"subject": "math:arxiv_13263", "predicate": "proves", "object": "we review our recently developed electronic structure calculation methods for the dynamics of large "}
{"subject": "math:arxiv_13270", "predicate": "proves", "object": "two approaches to small - scale and quantum thermodynamics are fluctuation relations and one - shot "}
{"subject": "math:arxiv_13287", "predicate": "proves", "object": "in this paper , we derive a viscous generalization of the @xcite system from the weakly viscous gene"}
{"subject": "math:arxiv_13329", "predicate": "proves", "object": "in @xcite , ozsvth and szab construct a spectral sequence with @xmath0 term @xmath1 $ ] converging t"}
{"subject": "math:arxiv_13335", "predicate": "proves", "object": "kochen and specker s theorem can be seen as a consequence of gleason s theorem and logical compactne"}
{"subject": "math:arxiv_13344", "predicate": "proves", "object": "positive modal logic was introduced in an influential 1995 paper of dunn as the positive fragment of"}
{"subject": "math:arxiv_13355", "predicate": "proves", "object": "an asymptotic formula for the sum @xmath0 is established for a family of hyperelliptic curves of gen"}
{"subject": "math:arxiv_13360", "predicate": "proves", "object": "gutzwiller s trace formula for the semiclassical density of states in a chaotic system diverges near"}
{"subject": "math:arxiv_13389", "predicate": "proves", "object": "this article deals with optimizing problems classified by the kinds of restrictions as required in d"}
{"subject": "math:arxiv_13405", "predicate": "proves", "object": "density dependent parametrization models of the nucleon - meson effective couplings , including the "}
{"subject": "math:arxiv_13436", "predicate": "proves", "object": "based on a methodological analysis of the effective action approach certain conceptual foundations o"}
{"subject": "math:arxiv_13441", "predicate": "proves", "object": "we consider the helmholtz equation in the half space and suggest two methods for determining the bou"}
{"subject": "math:arxiv_13448", "predicate": "proves", "object": "geometric interpretation of the hirota equation is presented as equation describing the laplace sequ"}
{"subject": "math:arxiv_13455", "predicate": "proves", "object": "using exact - diagonalization techniques supplemented by a dyson equation embedding procedure , the "}
{"subject": "math:arxiv_13460", "predicate": "proves", "object": "periodically structured materials can sustain both optical and mechanical excitations which are tail"}
{"subject": "math:arxiv_13461", "predicate": "proves", "object": "in the present paper , we are concerned with the general localized solutions for the complex short p"}
{"subject": "math:arxiv_13462", "predicate": "proves", "object": "dynamical nature of the gauge degree of freedom and its effect to fermion spectrum are studied at @x"}
{"subject": "math:arxiv_13483", "predicate": "proves", "object": "we study the boltzmann transport equation for the bose - hubbard chain in the kinetic regime . \n the"}
{"subject": "math:arxiv_13506", "predicate": "proves", "object": "this paper derives master equations for an atomic two - level system for a large set of unitarily eq"}
{"subject": "math:arxiv_13525", "predicate": "proves", "object": "coordinate systems are defined on general metric spaces with the purpose of generalizing vector fiel"}
{"subject": "math:arxiv_13543", "predicate": "proves", "object": "we have developed an efficient formulation for the study of the generic supersymmetric standard mode"}
{"subject": "math:arxiv_13566", "predicate": "proves", "object": "we propose _ gamma conjectures _ for fano manifolds which can be thought of as a square root of the "}
{"subject": "math:arxiv_13567", "predicate": "proves", "object": "the nontrivial topology of the electronic structure of iron pnictides can lead to the appearance of "}
{"subject": "math:arxiv_13569", "predicate": "proves", "object": "using a gauge - invariant formalism we derive and solve the perturbed cosmological equations for the"}
{"subject": "math:arxiv_13579", "predicate": "proves", "object": "we study analytically and numerically the inflationary solutions for various type scalar potentials "}
{"subject": "math:arxiv_13580", "predicate": "proves", "object": "semi - discrete runge - kutta schemes for nonlinear diffusion equations of parabolic type are analyz"}
{"subject": "math:arxiv_13585", "predicate": "proves", "object": "we investigate the nucleon - nucleon interaction by using the meson exchange model and the two - bod"}
{"subject": "math:arxiv_13591", "predicate": "proves", "object": "we give a review of the current status of the @xmath0 conjecture . here \n @xmath1 stands for the one"}
{"subject": "math:arxiv_13597", "predicate": "proves", "object": "we study the ground state properties of rectangular quantum dots by using the spin - density - funct"}
{"subject": "math:arxiv_13599", "predicate": "proves", "object": "we study numerically solutions to the korteweg - de vries and camassa - holm equation close to the b"}
{"subject": "math:arxiv_13624", "predicate": "proves", "object": "periodic waves of the one - dimensional cubic defocusing nls equation are considered . using tools f"}
{"subject": "math:arxiv_13639", "predicate": "proves", "object": "a generalized version of the coupled coherent states method for coherent states of arbitrary lie gro"}
{"subject": "math:arxiv_13640", "predicate": "proves", "object": "we give a formula for generalized eulerian numbers , prove monotonicity of sequences of certain rati"}
{"subject": "math:arxiv_13647", "predicate": "proves", "object": "diffusion processes @xmath0 moving inside spheres @xmath1 and reflecting orthogonally on their surfa"}
{"subject": "math:arxiv_13650", "predicate": "proves", "object": "the kondo problem , for a quantum dot ( qd ) , subjected to an external bias , is analyzed in the li"}
{"subject": "math:arxiv_13675", "predicate": "proves", "object": "in this work , we consider the coupled systems of linear unsteady partial differential equations , w"}
{"subject": "math:arxiv_13679", "predicate": "proves", "object": "to describe the transverse distribution of charged hadrons at 1.96 tev observed by the cdf collabora"}
{"subject": "math:arxiv_13694", "predicate": "proves", "object": "in this paper we use the theory of viscosity solutions for hamilton - jacobi equations to study prop"}
{"subject": "math:arxiv_13714", "predicate": "proves", "object": "let @xmath0 be the scalar field of real numbers or complex numbers and @xmath1 the algebra of equiva"}
{"subject": "math:arxiv_13722", "predicate": "proves", "object": "we investigate the effect of exotic matter in particular , hyperon matter on neutron star properties"}
{"subject": "math:arxiv_13738", "predicate": "proves", "object": "the thermodynamical entities on the dynamical horizon are not naturally defined like the usual stati"}
{"subject": "math:arxiv_13743", "predicate": "proves", "object": "this paper is on elimination of defining equations of the cyclotomic analogues , introduced by the f"}
{"subject": "math:arxiv_13746", "predicate": "proves", "object": "to elucidate the permeation of cosmic ultraviolet ( uv ) background radiation into a pregalactic clo"}
{"subject": "math:arxiv_13756", "predicate": "proves", "object": "we study the segregation of granular mixtures in two - dimensional silos using a set of coupled equa"}
{"subject": "math:arxiv_13762", "predicate": "proves", "object": "the numerical efficiency of different schemes for solving the liouville - von neumann equation withi"}
{"subject": "math:arxiv_13769", "predicate": "proves", "object": "in this paper we use the hecke algebra of type @xmath0 to define a new algebra @xmath1 which is an a"}
{"subject": "math:arxiv_13773", "predicate": "proves", "object": "we investigate the effect of phenomenological relaxation parameters on the third order optical nonli"}
{"subject": "math:arxiv_13781", "predicate": "proves", "object": "we define a metric in the space of quantum states taking the monge distance between corresponding hu"}
{"subject": "math:arxiv_13804", "predicate": "proves", "object": "in this paper , a novel framework for automated liver segmentation via a level set formulation is pr"}
{"subject": "math:arxiv_13815", "predicate": "proves", "object": "it is well known that the kdv equation has an infinite set of conserved quantities . \n the first thr"}
{"subject": "math:arxiv_13826", "predicate": "proves", "object": "for each algebra of global dimension 2 arising from the quiver with potential associated to a triang"}
{"subject": "math:arxiv_13834", "predicate": "proves", "object": "on the basis of solutions of the master equation for networks with a small number of neurons it is s"}
{"subject": "math:arxiv_13860", "predicate": "proves", "object": "a double pendulum subject to external torques is used as a model to study the stability of a planar "}
{"subject": "math:arxiv_13899", "predicate": "proves", "object": "this paper is concerned with integro - differential identities which are known in statistical signal"}
{"subject": "math:arxiv_13910", "predicate": "proves", "object": "using methods in the theory of semisimple lie algebras , we can obtain all smooth solutions of the k"}
{"subject": "math:arxiv_13912", "predicate": "proves", "object": "we compute the typical ( in the sense of baire s category theorem ) multifractal box dimensions of m"}
{"subject": "math:arxiv_13914", "predicate": "proves", "object": "we derive the kinetic equations for the hopping transport that take into account electron spin and t"}
{"subject": "math:arxiv_13927", "predicate": "proves", "object": "a matter - field theory of the casimir force is formulated in which the electromagnetic field and co"}
{"subject": "math:arxiv_13930", "predicate": "proves", "object": "the alternative dynamics of loop quantum cosmology is examined by the path integral formulation . \n "}
{"subject": "math:arxiv_13940", "predicate": "proves", "object": "we investigate the fermionic condensate and the vacuum expectation value of the energy - momentum te"}
{"subject": "math:arxiv_13941", "predicate": "proves", "object": "we present here a formulation for the calculation of the configuration averaged lattice thermal cond"}
{"subject": "math:arxiv_13945", "predicate": "proves", "object": "we demonstrate that the kernel of the lippmann - schwinger equation , associated with interactions c"}
{"subject": "math:arxiv_13960", "predicate": "proves", "object": "examples are worked out using a new equation proposed in the previous paper to show that it has new "}
{"subject": "math:arxiv_13965", "predicate": "proves", "object": "a quadratic point on a surface in @xmath0 is a point at which the surface can be approximated by a q"}
{"subject": "math:arxiv_13976", "predicate": "proves", "object": "we study the evolution equation @xmath0 where @xmath1 is the dirichlet  neumann operator of a decrea"}
{"subject": "math:arxiv_13983", "predicate": "proves", "object": "physical objects with energy @xmath0 with @xmath1 a characteristic length and @xmath2 a numerical co"}
{"subject": "math:arxiv_13997", "predicate": "proves", "object": "the final stage of the black hole evaporation is a matter of debates in the existing literature . in"}
{"subject": "math:arxiv_13998", "predicate": "proves", "object": "an ordinary differential equation perturbed by a null - recurrent diffusion will be considered in th"}
{"subject": "math:arxiv_14004", "predicate": "proves", "object": "detailed fluctuation theorems are statements about the probability distribution for the stochastic e"}
{"subject": "math:arxiv_14012", "predicate": "proves", "object": "a fokker - planck equation for the wigner function evolution in a noisy kerr medium ( @xmath0 non - "}
{"subject": "math:arxiv_14016", "predicate": "proves", "object": "we define homotopy group actions in terms of families of @xmath0 algebras indexed by a manifold @xma"}
{"subject": "math:arxiv_14020", "predicate": "proves", "object": "charge and spin josephson currents in a ballistic superconductor - ferromagnet - superconductor junc"}
{"subject": "math:arxiv_14037", "predicate": "proves", "object": "quantum optimal control theory is a powerful tool for engineering quantum systems subject to externa"}
{"subject": "math:arxiv_14090", "predicate": "proves", "object": "we develop the notion of the composition of two coalgebras , which arises naturally in higher catego"}
{"subject": "math:arxiv_14099", "predicate": "proves", "object": "+ the geometry of cosets in the subgroups @xmath0 of the two - generator free group @xmath1 nicely f"}
{"subject": "math:arxiv_14112", "predicate": "proves", "object": "a simple algebraic method to obtain exact solutions to the scalar field equations in spatially flat "}
{"subject": "math:arxiv_14113", "predicate": "proves", "object": "based on the keldysh nonequilibrium green function ( ngf ) technique , a general formula for the cur"}
{"subject": "math:arxiv_14116", "predicate": "proves", "object": "the twist free energy is computed in the villain formulation of the @xmath0 @xmath1 lattice gauge th"}
{"subject": "math:arxiv_14118", "predicate": "proves", "object": "the golomb - welch conjecture deals with the existence of perfect @xmath0-error correcting lee codes"}
{"subject": "math:arxiv_14139", "predicate": "proves", "object": "i derive analytically the temporal dependence of the perpendicular transport coefficient of a charge"}
{"subject": "math:arxiv_14168", "predicate": "proves", "object": "the thue - morse sequence is generalized to the @xmath0 sequences and two equivalent definitions are"}
{"subject": "math:arxiv_14181", "predicate": "proves", "object": "an optimal linear coding solution for index coding problem is established . instead of network codin"}
{"subject": "math:arxiv_14202", "predicate": "proves", "object": "this article is an introduction to some aspects of calle s mould calculus , a powerful combinatorial"}
{"subject": "math:arxiv_14205", "predicate": "proves", "object": "computing unlinking number is usually very difficult and complex problem , therefore we define @xmat"}
{"subject": "math:arxiv_14214", "predicate": "proves", "object": "the ww domain of the human pin1 protein for its simple topology and the large amount of experimental"}
{"subject": "math:arxiv_14222", "predicate": "proves", "object": "the quantization conditions which come from the requirement of the singlevaluedness of the odderon w"}
{"subject": "math:arxiv_14224", "predicate": "proves", "object": "we translate the concept of restriction of an arrangement in terms of hopf algebras . in consequence"}
{"subject": "math:arxiv_14228", "predicate": "proves", "object": "we suggest a novel stochastic discrete growth model which describes the drifted edward - wilkinson ("}
{"subject": "math:arxiv_14229", "predicate": "proves", "object": "in recent years , an extensive survey on various wave equations of relativistic quantum mechanics wi"}
{"subject": "math:arxiv_14248", "predicate": "proves", "object": "in this paper we give a formula for the homotopy groups of @xmath0-connected @xmath1-manifolds as a "}
{"subject": "math:arxiv_14249", "predicate": "proves", "object": "we review the description of inclusive single unpolarized light hadron production using fragmentatio"}
{"subject": "math:arxiv_14251", "predicate": "proves", "object": "the low - frequency limit of maxwell equations is considered in the maxwell - vlasov system . \n this"}
{"subject": "math:arxiv_14256", "predicate": "proves", "object": "on a bounded , measurable domain of non - negative current - quark mass , realistic models of qcd s "}
{"subject": "math:arxiv_14267", "predicate": "proves", "object": "we give a proof that entanglement purification , even with noisy apparatus , is sufficient to disent"}
{"subject": "math:arxiv_14290", "predicate": "proves", "object": "large - scale structure of the universe is a useful cosmological probe of the primordial non - gauss"}
{"subject": "math:arxiv_14302", "predicate": "proves", "object": "for nonlinear affine in the control systems , a lie algebraic sufficient condition for sampled - dat"}
{"subject": "math:arxiv_14306", "predicate": "proves", "object": "given a representation of a unimodular locally compact group , we discuss criteria for associated co"}
{"subject": "math:arxiv_14318", "predicate": "proves", "object": "we formulate and justify several proposals utilizing the unique electronic properties of different t"}
{"subject": "math:arxiv_14322", "predicate": "proves", "object": "in this note we give an example of affine quotient @xmath0 where @xmath1 is an affine algebraic grou"}
{"subject": "math:arxiv_14340", "predicate": "proves", "object": "a kinetic theory of the bohm criterion is developed that is based on positive - exponent velocity mo"}
{"subject": "math:arxiv_14346", "predicate": "proves", "object": "in this paper , we consider the fermionic casimir effect under a new type of space - time topology u"}
{"subject": "math:arxiv_14352", "predicate": "proves", "object": "an approximate riemann solver for the equations of relativistic magnetohydrodynamics ( rmhd ) is der"}
{"subject": "math:arxiv_14356", "predicate": "proves", "object": "the purpose of the nist digital repository of mathematical formulae ( drmf ) is to create a digital "}
{"subject": "math:arxiv_14365", "predicate": "proves", "object": "a general setting to study a certain type of formulas , expressing characters of the symmetric group"}
{"subject": "math:arxiv_14374", "predicate": "proves", "object": "two - dimensional spatially localized structures in the complex ginzburg - landau equation with 1:1 "}
{"subject": "math:arxiv_14412", "predicate": "proves", "object": "we start with the lorentz algebra @xmath0 over the reals and find a suitable basis @xmath1 relative "}
{"subject": "math:arxiv_14416", "predicate": "proves", "object": "we show that _ degenerate horizons _ exhibit a new _ trapping effect_. specifically , we obtain a no"}
{"subject": "math:arxiv_14425", "predicate": "proves", "object": "we analyze stability of consensus algorithms in networks of multi - agents with time - varying topol"}
{"subject": "math:arxiv_14433", "predicate": "proves", "object": "we present a detailed non - spherical modeling of dark matter halos on the basis of a careful analys"}
{"subject": "math:arxiv_14439", "predicate": "proves", "object": "we present results from a virial analysis of fully nonlinear two - dimensional ( 2d ) simulations of"}
{"subject": "math:arxiv_14463", "predicate": "proves", "object": "the general solution of the dirac equation for quasi - two - dimensional electrons confined in an as"}
{"subject": "math:arxiv_14469", "predicate": "proves", "object": "in this article we apply the technique proposed in deng - hou - yu @xcite to study the level set dyn"}
{"subject": "math:arxiv_14471", "predicate": "proves", "object": "a closed connected hyperbolic @xmath0-manifold _ bounds geometrically _ if it is isometric to the ge"}
{"subject": "math:arxiv_14473", "predicate": "proves", "object": "using an analogue of makanin - razborov diagrams , we give an effective description of the solution "}
{"subject": "math:arxiv_14485", "predicate": "proves", "object": "the kwieciski equations for the qcd evolution of the unintegrated parton distributions in the transv"}
{"subject": "math:arxiv_14486", "predicate": "proves", "object": "we investigate the interplay of the following regularity properties for non - simple @xmath0-algebra"}
{"subject": "math:arxiv_14497", "predicate": "proves", "object": "we have independently measured the genus topology of the temperature fluctuations in the cosmic micr"}
{"subject": "math:arxiv_14498", "predicate": "proves", "object": "we investigate the effect of antikaon condensed matter on bulk viscosity in rotating neutron stars ."}
{"subject": "math:arxiv_14508", "predicate": "proves", "object": "the most common spin foam models of gravity are widely believed to be discrete path integral quantiz"}
{"subject": "math:arxiv_14513", "predicate": "proves", "object": "we show that the method of splitting the operator @xmath0 to fourth order with purely positive coeff"}
{"subject": "math:arxiv_14517", "predicate": "proves", "object": "we review the application of the consistent ( or decoherent ) histories formulation of quantum theor"}
{"subject": "math:arxiv_14542", "predicate": "proves", "object": "we extend the quasiclassical formalism for diffusive superconductors by deriving anisotropic ( gradi"}
{"subject": "math:arxiv_14565", "predicate": "proves", "object": "we introduce two types of message passing algorithms for quantified boolean formulas ( qbf ) . \n the"}
{"subject": "math:arxiv_14574", "predicate": "proves", "object": "dark energy is a fundamental constituent of our universe , its status in the cosmological field equa"}
{"subject": "math:arxiv_14578", "predicate": "proves", "object": "we test the salpeter formalism for calculating electron screening of nuclear fusion reactions by sol"}
{"subject": "math:arxiv_14585", "predicate": "proves", "object": "we introduce a traffic flow model that incorporates clustering and passing . \n we obtain analyticall"}
{"subject": "math:arxiv_14592", "predicate": "proves", "object": "we investigate the time evolution of a bose - einstein condensate in a periodic optical potential . "}
{"subject": "math:arxiv_14593", "predicate": "proves", "object": "the differential equations governing the late - time ring - down of the perturbations of the kerr me"}
{"subject": "math:arxiv_14597", "predicate": "proves", "object": "the full counting statistics of quantum heat transfer is studied in a driven nonequilibrium spin - b"}
{"subject": "math:arxiv_14643", "predicate": "proves", "object": "it is shown and discussed how the conventional system of hydrodynamic equations for ferrofluids was "}
{"subject": "math:arxiv_14645", "predicate": "proves", "object": "wightman function , the vacuum expectation values of the field squared and the energy - momentum ten"}
{"subject": "math:arxiv_14648", "predicate": "proves", "object": "in maxsat , we ask for an assignment which satisfies the maximum number of clauses for a boolean for"}
{"subject": "math:arxiv_14655", "predicate": "proves", "object": "we propose an integrable system of coupled nonlinear schrdinger equations with cubic - quintic terms"}
{"subject": "math:arxiv_14663", "predicate": "proves", "object": "holonomy corrections to scalar perturbations are investigated in the loop quantum cosmology framewor"}
{"subject": "math:arxiv_14684", "predicate": "proves", "object": "we consider a class of nonlinear stochastic differential equations , giving the power - law behavior"}
{"subject": "math:arxiv_14726", "predicate": "proves", "object": "in this note we shall introduce a simple , effective numerical method for solving partial differenti"}
{"subject": "math:arxiv_14753", "predicate": "proves", "object": "this paper describes a user - friendly frontend to a fortran program that integrates coupled nonline"}
{"subject": "math:arxiv_14777", "predicate": "proves", "object": "we give a rigorous analytical derivation of low - temperature behavior of the casimir entropy in the"}
{"subject": "math:arxiv_14787", "predicate": "proves", "object": "many uncertainty sets encountered in control systems analysis and design can be expressed in terms o"}
{"subject": "math:arxiv_14790", "predicate": "proves", "object": "we discuss the klein - gordon ( kg ) equation using a 5d space - time approach . \n we explicitly sho"}
{"subject": "math:arxiv_14830", "predicate": "proves", "object": "we study quantum transport properties of two - dimensional electron gases under high perpendicular m"}
{"subject": "math:arxiv_14839", "predicate": "proves", "object": "in galaxy clusters the equilibria of the intracluster plasma ( icp ) and of the gravitationally domi"}
{"subject": "math:arxiv_14915", "predicate": "proves", "object": "we give an algorithm for constructing the algebraic hull of a given matrix lie algebra in characteri"}
{"subject": "math:arxiv_14923", "predicate": "proves", "object": "following an idea of a. berenstein , we define a commutor for the category of crystals of a finite d"}
{"subject": "math:arxiv_14940", "predicate": "proves", "object": "this is an elementary expository article regarding the application of kleene s recursion theorems in"}
{"subject": "math:arxiv_14946", "predicate": "proves", "object": "samuel j. lomonaco jr and louis h. kauffman conjectured that tame knot theory and knot mosaic theory"}
{"subject": "math:arxiv_14953", "predicate": "proves", "object": "we report on the discovery of the geometry producing the light echo emanating from supernova 2006x ,"}
{"subject": "math:arxiv_14956", "predicate": "proves", "object": "i review the multiphase cooling flow equations that reduce to a relatively simple form for a wide cl"}
{"subject": "math:arxiv_14974", "predicate": "proves", "object": "in the paper , the authors establish , by using cauchy integral formula in the theory of complex fun"}
{"subject": "math:arxiv_14981", "predicate": "proves", "object": "in this paper a concentration inequality is proved for the deviation in the ergodic theorem in the c"}
{"subject": "math:arxiv_14984", "predicate": "proves", "object": "we prove a conjecture of j. palis : any diffeomorphism of a compact manifold can be @xmath0-approxim"}
{"subject": "math:arxiv_14987", "predicate": "proves", "object": "reduced models for the ( defocusing ) nonlinear schrdinger equation are developed . \n in particular "}
{"subject": "math:arxiv_14988", "predicate": "proves", "object": "the neutron matter equation of state is calculated from two - neutron forces up to fifth order of th"}
{"subject": "math:arxiv_15009", "predicate": "proves", "object": "the measurable riemann mapping theorem proved by morrey and in some particular cases by ahlfors , la"}
{"subject": "math:arxiv_15056", "predicate": "proves", "object": "finite nonassociative division algebras ( i.e. , finite semifields ) with 243 elements are completel"}
{"subject": "math:arxiv_15057", "predicate": "proves", "object": "distributive laws of a monad @xmath0 over a functor @xmath1 are categorical tools for specifying alg"}
{"subject": "math:arxiv_15058", "predicate": "proves", "object": "helix - coil transition in polypeptides is an example of a spin model with a preferred spin directio"}
{"subject": "math:arxiv_15062", "predicate": "proves", "object": "we analyze the eckhaus instability of plane waves in the one - dimensional complex ginzburg - landau"}
{"subject": "math:arxiv_15069", "predicate": "proves", "object": "in these notes we study synchronizability of dynamical processes defined on complex networks as well"}
{"subject": "math:arxiv_15074", "predicate": "proves", "object": "a theory of dynamical control by modulation for optimal decoherence reduction is developed . \n it is"}
{"subject": "math:arxiv_15075", "predicate": "proves", "object": "the magnetic rayleigh - taylor instability has been shown to play a key role in many astrophysical s"}
{"subject": "math:arxiv_15085", "predicate": "proves", "object": "in a recent work of ours @xcite , we generalized the power  zineau  woolley gauge to describe the el"}
{"subject": "math:arxiv_15088", "predicate": "proves", "object": "in the nonextensive tsallis scenario , page s conjecture for the average entropy of a subsystem[phys"}
{"subject": "math:arxiv_15091", "predicate": "proves", "object": "* abstract : * the observed evidence for the existence of strange stars and the concomitant observed"}
{"subject": "math:arxiv_15101", "predicate": "proves", "object": "described the algebraic structure on the space of homotopy classes of cycles with marked topological"}
{"subject": "math:arxiv_15129", "predicate": "proves", "object": "the nuclear shadowing and antishadowing effects are explained by a unitarized bfkl equation . \n the "}
{"subject": "math:arxiv_15133", "predicate": "proves", "object": "we characterize all graphs whose binomial edge ideals have pure resolutions . moreover \n , we introd"}
{"subject": "math:arxiv_15135", "predicate": "proves", "object": "recently , analytical solutions of a nonlinear fokker - planck equation describing anomalous diffusi"}
{"subject": "math:arxiv_15139", "predicate": "proves", "object": "the classes of slender and cotorsion - free abelian groups are axiomatizable in the infinitary logic"}
{"subject": "math:arxiv_15164", "predicate": "proves", "object": "macroscopic quantum tunneling is described using the master equation for the reduced wigner function"}
{"subject": "math:arxiv_15167", "predicate": "proves", "object": "we discuss the properties of the dynamics of purely memristive circuits using a recently derived con"}
{"subject": "math:arxiv_15171", "predicate": "proves", "object": "classification of dark energy models in the plane of @xmath0 and @xmath1 , where @xmath0 is the dark"}
{"subject": "math:arxiv_15196", "predicate": "proves", "object": "in this paper , we prove the farrell - jones conjecture for the solvable baumslag - solitar groups w"}
{"subject": "math:arxiv_15197", "predicate": "proves", "object": "a non - perturbative nonlinear statistical approach is presented to describe turbulent magnetic syst"}
{"subject": "math:arxiv_15208", "predicate": "proves", "object": "using the kantorovitch method in combination with a gaussian ansatz , we derive the equations of mot"}
{"subject": "math:arxiv_15220", "predicate": "proves", "object": "generating function equation has been derived for the probability distribution of the number of node"}
{"subject": "math:arxiv_15223", "predicate": "proves", "object": "we introduce a flner condition for dense subalgebras in finite von neumann algebras and prove that i"}
{"subject": "math:arxiv_15224", "predicate": "proves", "object": "we present theoretical predictions for photometric and spectroscopic signatures of rings around tran"}
{"subject": "math:arxiv_15235", "predicate": "proves", "object": "we present some formulas for the computation of the zeros of the integral - degree associated legend"}
{"subject": "math:arxiv_15254", "predicate": "proves", "object": "we show that the torus knot topology is inherent in electromagnetic and gravitational radiation by c"}
{"subject": "math:arxiv_15294", "predicate": "proves", "object": "we consider a generic type of dark energy fluid , characterised by a constant equation of state para"}
{"subject": "math:arxiv_15308", "predicate": "proves", "object": "let @xmath0 be a non - constant @xmath1-periodic solution to the ordinary differential equation @xma"}
{"subject": "math:arxiv_15319", "predicate": "proves", "object": "by using a variational approach in combination with the adiabatic approximation we derive a new effe"}
{"subject": "math:arxiv_15324", "predicate": "proves", "object": "we study non - associative twisted group algebras over @xmath0 with cubic twisting functions . \n we "}
{"subject": "math:arxiv_15342", "predicate": "proves", "object": "we develop a very general theory on the regularized approximate invisibility cloaking for the wave s"}
{"subject": "math:arxiv_15373", "predicate": "proves", "object": "[ [ background ] ] background : + + + + + + + + + + +    stochastic biochemical reaction networks ar"}
{"subject": "math:arxiv_15388", "predicate": "proves", "object": "we derive the flow equations for the symmetry unbroken phase of a dilute 3-dimensional bose gas . \n "}
{"subject": "math:arxiv_15391", "predicate": "proves", "object": "the altshuler - shklovskii formulas @xcite predict , for any disordered quantum system in the diffus"}
{"subject": "math:arxiv_15396", "predicate": "proves", "object": "in this paper we study lattice rules which are cubature formulae to approximate integrands over the "}
{"subject": "math:arxiv_15421", "predicate": "proves", "object": "the sato - crutchfield equations are studied analytically and numerically . \n the sato - crutchfield"}
{"subject": "math:arxiv_15436", "predicate": "proves", "object": "in this talk we discuss enveloping algebra based noncommutative gauge field theory , constructed at "}
{"subject": "math:arxiv_15462", "predicate": "proves", "object": "after giving an outline of the quantization scheme based on the microscopic hopfield model of a diel"}
{"subject": "math:arxiv_15464", "predicate": "proves", "object": "we derive , from an empirical interaction potential , an analytic formula for the elastic bending mo"}
{"subject": "math:arxiv_15471", "predicate": "proves", "object": "we show explicitly how batalin - vilkovisky yang - mills action emerges as a homotopy generalization"}
{"subject": "math:arxiv_15487", "predicate": "proves", "object": "polynomial systems occur in many areas of science and engineering . unlike general nonlinear systems"}
{"subject": "math:arxiv_15504", "predicate": "proves", "object": "as a consequence of birkhoff s theorem , the exterior gravitational field of a spherically symmetric"}
{"subject": "math:arxiv_15515", "predicate": "proves", "object": "the process of phase separation of binary systems is described by the cahn - hilliard equation . \n t"}
{"subject": "math:arxiv_15517", "predicate": "proves", "object": "in this paper we extend the classical theory of combinatorial manifolds to the non - homogeneous set"}
{"subject": "math:arxiv_15550", "predicate": "proves", "object": "in this paper , we investigate the model - independent traversable wormholes from baryon acoustic os"}
{"subject": "math:arxiv_15562", "predicate": "proves", "object": "optical singularities manifesting at the center of vector vortex beams are unstable , since their to"}
{"subject": "math:arxiv_15565", "predicate": "proves", "object": "we describe notions of tautness that arise in the study of @xmath0 foliations , @xmath1 or smoother "}
{"subject": "math:arxiv_15570", "predicate": "proves", "object": "using an analogy to the classical stefan problem , we construct evolution equations for the fluid po"}
{"subject": "math:arxiv_15571", "predicate": "proves", "object": "we investigate the hadron - quark phase transition inside neutron stars and obtain mass - radius rel"}
{"subject": "math:arxiv_15594", "predicate": "proves", "object": "using small - angle neutron scattering and liquid integral equation theory , we relate the structure"}
{"subject": "math:arxiv_15597", "predicate": "proves", "object": "the invariance of the lagrangian under time translations and rotations in kepler s problem yields th"}
{"subject": "math:arxiv_15600", "predicate": "proves", "object": "the spin polarized charge transport is systematically analyzed as a thermally driven stochastic proc"}
{"subject": "math:arxiv_15601", "predicate": "proves", "object": "the influence of microlensing in the profiles of the emission lines generated in a biconical geometr"}
{"subject": "math:arxiv_15603", "predicate": "proves", "object": "we determine the hadronic light - by - light scattering contribution to the anomalous magnetic momen"}
{"subject": "math:arxiv_15608", "predicate": "proves", "object": "this note gives a brief and ` crash ' introduction to the method of homogenization with the use of w"}
{"subject": "math:arxiv_15610", "predicate": "proves", "object": "it is known that point searching in basic semialgebraic sets and the search for globally minimal poi"}
{"subject": "math:arxiv_15630", "predicate": "proves", "object": "we construct a smooth codimension - one foliation on the five - sphere in which every leaf is a symp"}
{"subject": "math:arxiv_15670", "predicate": "proves", "object": "the paper deals with the problem of finding sparse solutions to systems of polynomial equations poss"}
{"subject": "math:arxiv_15678", "predicate": "proves", "object": "we show that 3-dimensional polyhedral manifolds with nonnegative curvature in the sense of alexandro"}
{"subject": "math:arxiv_15682", "predicate": "proves", "object": "by considering the continuum scaling limit of the @xmath0 rsos lattice model of andrews - baxter - f"}
{"subject": "math:arxiv_15684", "predicate": "proves", "object": "we compute  using a formula of dittmann  the bures metric tensor ( @xmath0 ) for the eight - dimensi"}
{"subject": "math:arxiv_15689", "predicate": "proves", "object": "we discuss some aspects of the propagation of high - energy cosmic rays ( crs ) in turbulent magneti"}
{"subject": "math:arxiv_15723", "predicate": "proves", "object": "we present solutions to the accretion disk structure equations in which advective cooling is account"}
{"subject": "math:arxiv_15724", "predicate": "proves", "object": "in this paper we obtain sharp weighted estimates for solutions of the @xmath0-equation in a lineally"}
{"subject": "math:arxiv_15731", "predicate": "proves", "object": "we formulate a theory combining the principles of a scalar - tensor gravity and the rastall proposal"}
{"subject": "math:arxiv_15734", "predicate": "proves", "object": "the level crossing problem and associated geometric terms are neatly formulated by the second quanti"}
{"subject": "math:arxiv_15737", "predicate": "proves", "object": "the derivation of the eliashberg type equations for a  superconductor with strong electron correlati"}
{"subject": "math:arxiv_15743", "predicate": "proves", "object": "kinematic simulations of the induction equation are carried out for different setups suitable for th"}
{"subject": "math:arxiv_15757", "predicate": "proves", "object": "we verify the finite time fluctuation theorem for a linear ising chain at its ends in contact with h"}
{"subject": "math:arxiv_15758", "predicate": "proves", "object": "using the fractional statistical properties of so - called anyonic particles , we present solutions "}
{"subject": "math:arxiv_15762", "predicate": "proves", "object": "we investigate the fermionic condensate ( fc ) and the vacuum expectation value ( vev ) of the energ"}
{"subject": "math:arxiv_15783", "predicate": "proves", "object": "we discuss how to formulate a condition for choosing the vacuum state of a quantum scalar field on a"}
{"subject": "math:arxiv_15808", "predicate": "proves", "object": "the @xmath0dimensional @xmath1spin facilitated kinetic ising model is studied analytically starting "}
{"subject": "math:arxiv_15816", "predicate": "proves", "object": "we study smooth su(2 ) solutions of the hitchin equations on @xmath0 , with the determinant of the c"}
{"subject": "math:arxiv_15828", "predicate": "proves", "object": "mathematical model for hit phenomena presented by a ishii et al in 2012 has been extended to analyze"}
{"subject": "math:arxiv_15834", "predicate": "proves", "object": "we consider the black hole qubit correspondence ( bhqc ) from quantum circuits , taking into account"}
{"subject": "math:arxiv_15839", "predicate": "proves", "object": "the kepler conjecture asserts that the density of a packing of congruent balls in three dimensions i"}
{"subject": "math:arxiv_15840", "predicate": "proves", "object": "this paper focuses on stochastic partial differential equations ( spdes ) under two - time - scale f"}
{"subject": "math:arxiv_15845", "predicate": "proves", "object": "we show that , given a finitely generated group @xmath0 as the coordinate group of a finite system o"}
{"subject": "math:arxiv_15875", "predicate": "proves", "object": "in this paper , we consider the numerical approximation of a general second order semilinear stochas"}
{"subject": "math:arxiv_15880", "predicate": "proves", "object": "in bilayer graphene , the phase diagram in the plane of a strain - induced bare nematic term , @xmat"}
{"subject": "math:arxiv_15884", "predicate": "proves", "object": "time evolution of a black hole lattice universe with a positive cosmological constant @xmath0 is sim"}
{"subject": "math:arxiv_15890", "predicate": "proves", "object": "on the basis of the recently developed lattice formulation of supersymmetric theories which keeps a "}
{"subject": "math:arxiv_15906", "predicate": "proves", "object": "coherence theorems for covariant structures carried by a category have traditionally relied on the u"}
{"subject": "math:arxiv_15911", "predicate": "proves", "object": "we prove limit theorems and variance estimates for quantities related to ponds and outlets for 2d in"}
{"subject": "math:arxiv_15913", "predicate": "proves", "object": "this paper deals with a new model for clonal network dynamics . we describe in detail this model and"}
{"subject": "math:arxiv_15919", "predicate": "proves", "object": "a review of the teleparallel equivalent of general relativity is presented . \n it is emphasized that"}
{"subject": "math:arxiv_15928", "predicate": "proves", "object": "the problem of the evolution of a heavy quarkonium in a medium can be recast as that of a quantum di"}
{"subject": "math:arxiv_15937", "predicate": "proves", "object": "this paper considers some formulations and possible approaches to the coherent lqg and @xmath0 quant"}
{"subject": "math:arxiv_15946", "predicate": "proves", "object": "israel - stewart theory is a causal , stable formulation of relativistic dissipative fluid dynamics "}
{"subject": "math:arxiv_15957", "predicate": "proves", "object": "the dynamic scaling properties of the one dimensional burgers equation are expected to change with t"}
{"subject": "math:arxiv_15963", "predicate": "proves", "object": "the paper is about a painlev iii equation of type @xmath0 and its relation to isomonodromic families"}
{"subject": "math:arxiv_15979", "predicate": "proves", "object": "we compare the radon transform in its standard and symplectic formulations and argue that the invers"}
{"subject": "math:arxiv_15981", "predicate": "proves", "object": "the moyal star formulation of string field theory is reviewed . \n the various versions of the star p"}
{"subject": "math:arxiv_16010", "predicate": "proves", "object": "rapidly rotating myers - perry black holes in @xmath0 dimensions were conjectured to be unstable by "}
{"subject": "math:arxiv_16020", "predicate": "proves", "object": "we discuss a general formula for the area of the surface that is generated by a graph @xmath0 \\to \\m"}
{"subject": "math:arxiv_16022", "predicate": "proves", "object": "truncated dyson  schwinger equations represent finite subsets of the equations of motion for green s"}
{"subject": "math:arxiv_16028", "predicate": "proves", "object": "in this article , we study the topology of real analytic germs @xmath0 given by @xmath1 with @xmath2"}
{"subject": "math:arxiv_16031", "predicate": "proves", "object": "we introduce a new and rich class of _ graph coloring manifolds _ via the hom complex construction o"}
{"subject": "math:arxiv_16036", "predicate": "proves", "object": "in this work a first attempt is made to extract the equation of state ( eos ) using experimental res"}
{"subject": "math:arxiv_16047", "predicate": "proves", "object": "we use the well - known isomorphism between operator algebras and function spaces equipped with a st"}
{"subject": "math:arxiv_16050", "predicate": "proves", "object": "the energies and widths of @xmath0 quasi - bound states with isospin @xmath1 are evaluated in two me"}
{"subject": "math:arxiv_16054", "predicate": "proves", "object": "we consider lie and strang splitting for the time integration of constrained partial differential eq"}
{"subject": "math:arxiv_16070", "predicate": "proves", "object": "we consider two - level finite element discretization methods for the stream function formulation of"}
{"subject": "math:arxiv_16072", "predicate": "proves", "object": "we present a numerical study of the time evolution of perturbations of rotating black holes . \n the "}
{"subject": "math:arxiv_16087", "predicate": "proves", "object": "in this paper we propose an improved empirical equation for the bunch lengthening in electron storag"}
{"subject": "math:arxiv_16091", "predicate": "proves", "object": "it is shown that for a relativistic particle moving in an electromagnetic field its equations of mot"}
{"subject": "math:arxiv_16094", "predicate": "proves", "object": "the kp hierarchy is a completely integrable system of quadratic , partial differential equations tha"}
{"subject": "math:arxiv_16109", "predicate": "proves", "object": "it has been suggested that one may construct a lorentz - invariant noncommutative field theory by ex"}
{"subject": "math:arxiv_16119", "predicate": "proves", "object": "in this paper , a distributed output regulation problem is formulated for a class of uncertain nonli"}
{"subject": "math:arxiv_16130", "predicate": "proves", "object": "we formulate quantum optics to include frequency dependence in the modeling of optical networks . \n "}
{"subject": "math:arxiv_16136", "predicate": "proves", "object": "the elastic backward proton - deuteron scattering is analyzed within a covariant approach based on t"}
{"subject": "math:arxiv_16161", "predicate": "proves", "object": "we show finite - size bounds on the deviation of the optimal type ii error from its asymptotic value"}
{"subject": "math:arxiv_16165", "predicate": "proves", "object": "given a quadratic function @xmath0 that satisfies a slater condition , yakubovich s s - procedure ( "}
{"subject": "math:arxiv_16179", "predicate": "proves", "object": "we approach the non - perturbative regime in finite temperature qcd within a formulation in polyakov"}
{"subject": "math:arxiv_16191", "predicate": "proves", "object": "' '' ''     + * abstract * + we review recent work on the random hopping problem in a quasi - one - "}
{"subject": "math:arxiv_16222", "predicate": "proves", "object": "we evaluate the tunneling conductance of clean ferromomagnet / superconductor junctions via a fully "}
{"subject": "math:arxiv_16233", "predicate": "proves", "object": "this paper is devoted to the numerical approximation of a nonlinear temperature balance equation , w"}
{"subject": "math:arxiv_16240", "predicate": "proves", "object": "the corrections to the gravitational potential due to a sol extra dimensional compact manifold , den"}
{"subject": "math:arxiv_16244", "predicate": "proves", "object": "motivated by a result of l.p . \n roberts on rational blow - downs in heegaard - floer homology , we "}
{"subject": "math:arxiv_16251", "predicate": "proves", "object": "we present an analysis of squeezed single photon states as a resource for teleportation of coherent "}
{"subject": "math:arxiv_16308", "predicate": "proves", "object": "in @xcite , it was shown that there exist infinitely many contact seifert fibered @xmath0-manifolds "}
{"subject": "math:arxiv_16320", "predicate": "proves", "object": "based on the powerful tool of variational inequalities , in recent papers convergence rates results "}
{"subject": "math:arxiv_16323", "predicate": "proves", "object": "we show how the linearized equations of motion of any dissipative current are determined by the anal"}
{"subject": "math:arxiv_16349", "predicate": "proves", "object": "a new strategy for global geometry optimization of clusters is presented . \n important features are "}
{"subject": "math:arxiv_16351", "predicate": "proves", "object": "mesoscopic non - equilibrium thermodynamics is used to formulate a model describing non - homogeneou"}
{"subject": "math:arxiv_16356", "predicate": "proves", "object": "we investigate cosmological models in a recently proposed geometrical theory of gravity , in which t"}
{"subject": "math:arxiv_16361", "predicate": "proves", "object": "associated with each oriented link is the two variable homflypt polynomial . \n formulas for the coef"}
{"subject": "math:arxiv_16391", "predicate": "proves", "object": "a novel parallel technique for fourier - galerkin pseudo - spectral methods with applications to two"}
{"subject": "math:arxiv_16401", "predicate": "proves", "object": "observations of cooling neutron stars allow to measure photospheric radii and to constrain the equat"}
{"subject": "math:arxiv_16404", "predicate": "proves", "object": "we introduce rota - baxter categories and construct examples of such structures . + * mathematics su"}
{"subject": "math:arxiv_16423", "predicate": "proves", "object": "the mesoscopic concept is applied to the description of microcracked brittle materials . \n the mesos"}
{"subject": "math:arxiv_16426", "predicate": "proves", "object": "we consider the quantum state seen by an observer in the diamond - shaped region , which is a global"}
{"subject": "math:arxiv_16448", "predicate": "proves", "object": "the lieb - mattis theorem about antiferromagnetic ordering of energy levels on bipartite lattices is"}
{"subject": "math:arxiv_16456", "predicate": "proves", "object": "the standard formulation of tunneling transport rests on an open - boundary modeling . \n there , con"}
{"subject": "math:arxiv_16457", "predicate": "proves", "object": "we show that every open book decomposition of a contact @xmath0manifold can be represented ( up to i"}
{"subject": "math:arxiv_16466", "predicate": "proves", "object": "the classic comparison theorem of quantum mechanics states that if two potentials are ordered then t"}
{"subject": "math:arxiv_16472", "predicate": "proves", "object": "we prove that in the euler problem homoclinic orbits exist for all mass ratios and for all energies "}
{"subject": "math:arxiv_16481", "predicate": "proves", "object": "we propose a new functional for the charge and mass identification in @xmath0 telescopes . \n this fu"}
{"subject": "math:arxiv_16485", "predicate": "proves", "object": "the @xmath0 decay is studied by making use of the chiral reduction formula . \n this formula suggests"}
{"subject": "math:arxiv_16494", "predicate": "proves", "object": "dynamical mass generation in a three - dimensional version of finite - temperature @xmath0 is studie"}
{"subject": "math:arxiv_16495", "predicate": "proves", "object": "we show vanishing results about the infimum of the topological entropy of the geodesic flow of homog"}
{"subject": "math:arxiv_16499", "predicate": "proves", "object": "we propose an integral formulation of the equations of motion of a large class of field theories whi"}
{"subject": "math:arxiv_16500", "predicate": "proves", "object": "the ehlers - ellis 1 + 3 formulation of covariant hydrodynamics , when supplemented with covariant r"}
{"subject": "math:arxiv_16526", "predicate": "proves", "object": "a formulation of the fermion action is discussed which includes an explicit four momentum boost on t"}
{"subject": "math:arxiv_16555", "predicate": "proves", "object": "the liouville equation is well known to be linearizable by a point transformation . \n it has an infi"}
{"subject": "math:arxiv_16558", "predicate": "proves", "object": "the problem of non - perturbative description of stationary flames with arbitrary gas expansion is c"}
{"subject": "math:arxiv_16573", "predicate": "proves", "object": "taking as starting point the planar model that arises from the dimensional reduction of the abelian "}
{"subject": "math:arxiv_16584", "predicate": "proves", "object": "grtensorj - books is an active interface to a small part of the computer algebra systems grtensorii "}
{"subject": "math:arxiv_16591", "predicate": "proves", "object": "message passing equations yield a sharp percolation transition in finite graphs , as an artefact of "}
{"subject": "math:arxiv_16593", "predicate": "proves", "object": "in @xcite we derived an analogue of the classical voronoi summation formula for automorphic forms on"}
{"subject": "math:arxiv_16595", "predicate": "proves", "object": "the dynamics of a preinflationary phase of the universe , and its exit to inflation , is discussed ."}
{"subject": "math:arxiv_16617", "predicate": "proves", "object": "we review a recently proposed framework for studying the approach to the unitarity limit in small@xm"}
{"subject": "math:arxiv_16620", "predicate": "proves", "object": "we derive an exact analytic solution to a klein - gordon equation for a step potential barrier with "}
{"subject": "math:arxiv_16621", "predicate": "proves", "object": "we study the geometric approach to the black hole thermodynamics . \n the geometric description of th"}
{"subject": "math:arxiv_16622", "predicate": "proves", "object": "generalized second law of thermodynamics in the bianchi type i universe with the generalized hologra"}
{"subject": "math:arxiv_16627", "predicate": "proves", "object": "a simple formula for one - loop logarithmic divergences on the background of a two - dimensional cur"}
{"subject": "math:arxiv_16653", "predicate": "proves", "object": "we suggest a new bayesian analysis using disjunct m - r constraints for extracting probability measu"}
{"subject": "math:arxiv_16674", "predicate": "proves", "object": "we prove a conjecture by de giorgi on the elliptic regularization of semilinear wave equations in th"}
{"subject": "math:arxiv_16684", "predicate": "proves", "object": "inferring the network topology from the dynamics is a fundamental problem with wide applications in "}
{"subject": "math:arxiv_16687", "predicate": "proves", "object": "a system of drift - diffusion equations with electric field under dirichlet boundary conditions is a"}
{"subject": "math:arxiv_16691", "predicate": "proves", "object": "after setting up a general model for supersymmetric classical mechanics in more than one dimension w"}
{"subject": "math:arxiv_16692", "predicate": "proves", "object": "we investigate the quantum capacity of noisy quantum channels which can be represented by coupling a"}
{"subject": "math:arxiv_16696", "predicate": "proves", "object": "a two - dimensional small - world type network , subject to spatial prisoners dilemma dynamics and c"}
{"subject": "math:arxiv_16698", "predicate": "proves", "object": "the field equations of the recent nonlocal generalization of einstein s theory of gravitation are pr"}
{"subject": "math:arxiv_16714", "predicate": "proves", "object": "by combining the numerical solution of the nonlinear hydrodynamics equations with the solution of th"}
{"subject": "math:arxiv_16723", "predicate": "proves", "object": "we have investigated the attractive hubbard model in the low density limit for the 2d square lattice"}
{"subject": "math:arxiv_16725", "predicate": "proves", "object": "a quantum world - line monte carlo method for high - symmetrical quantum models is proposed . \n firs"}
{"subject": "math:arxiv_16726", "predicate": "proves", "object": "the wess - zumino - witten model defined on the group @xmath0 has a unique ( non - trivial ) simple "}
{"subject": "math:arxiv_16728", "predicate": "proves", "object": "by mapping steady - state nonequilibrium to an effective equilibrium , we formulate nonequilibrium p"}
{"subject": "math:arxiv_16735", "predicate": "proves", "object": "in this paper we present the results of searches for periodic neutrino emission from a catalog of bi"}
{"subject": "math:arxiv_16742", "predicate": "proves", "object": "the discrete formulation of adiabatic quantum computing is compared with other search methods , clas"}
{"subject": "math:arxiv_16763", "predicate": "proves", "object": "we consider the role of network geometry in two types of diffusion processes : transport of constant"}
{"subject": "math:arxiv_16783", "predicate": "proves", "object": "the theory of noncommutative geometry provides an interesting mathematical background for developing"}
{"subject": "math:arxiv_16784", "predicate": "proves", "object": "first , we obtain a new formula for bremermann type upper envelopes , that arise frequently in conve"}
{"subject": "math:arxiv_16808", "predicate": "proves", "object": "this is the first of a series of papers on partition functions and the index theory of transversally"}
{"subject": "math:arxiv_16812", "predicate": "proves", "object": "we define boolean algebras in the linear context and study its symmetric powers . we give explicit f"}
{"subject": "math:arxiv_16851", "predicate": "proves", "object": "a theorem of mger asserts that the center @xmath0 of a spherical @xmath1-linear category @xmath2 is "}
{"subject": "math:arxiv_16856", "predicate": "proves", "object": "this paper offers a geometric framework for modeling port - hamiltonian systems on discrete manifold"}
{"subject": "math:arxiv_16862", "predicate": "proves", "object": "the total mass of a distant star cluster is often derived from the virial theorem , using line - of "}
{"subject": "math:arxiv_16867", "predicate": "proves", "object": "a difference equation w.r.t . \n space - time dimension @xmath0 for @xmath1-point one - loop integral"}
{"subject": "math:arxiv_16874", "predicate": "proves", "object": "we consider a mixed boundary - value problem for the poisson equation in a plane thick junction @xma"}
{"subject": "math:arxiv_16875", "predicate": "proves", "object": "the spectrum of the overlap dirac operator in the deconfined phase of quenched gauge theory is known"}
{"subject": "math:arxiv_16882", "predicate": "proves", "object": "r - matrix acting in the tensor product of two spinor representation spaces of lie algebra so(d ) is"}
{"subject": "math:arxiv_16885", "predicate": "proves", "object": "we are concerned with two separation theorems about analytic sets by dyck and preiss , the former in"}
{"subject": "math:arxiv_16891", "predicate": "proves", "object": "we study systematically the sensitivity of the photon structure function data on the gluon contents "}
{"subject": "math:arxiv_16899", "predicate": "proves", "object": "we introduce in this paper the concept of tropical mirror hypersurfaces and we prove a complex tropi"}
{"subject": "math:arxiv_16914", "predicate": "proves", "object": "we discuss the physical implications of formulating the standard model ( sm ) in terms of the superc"}
{"subject": "math:arxiv_16921", "predicate": "proves", "object": "we discuss several general aspects of the free energy of the standard model at high temperatures . \n"}
{"subject": "math:arxiv_16929", "predicate": "proves", "object": "we prove that every solution of the helmholtz equation @xmath0 within an equilateral triangle , whic"}
{"subject": "math:arxiv_16930", "predicate": "proves", "object": "many combinatorial problems involving weights can be formulated as a so - called _ ranged problem_. "}
{"subject": "math:arxiv_16931", "predicate": "proves", "object": "the problem is discussed of whether a traveller can reach a remote object and return back sooner tha"}
{"subject": "math:arxiv_16933", "predicate": "proves", "object": "we study inflationary scenarios driven by a scalar field in the presence of a non - minimal coupling"}
{"subject": "math:arxiv_16947", "predicate": "proves", "object": "quantifying the tip - sample interaction at the nanoscale in amplitude modulation mode afm is challe"}
{"subject": "math:arxiv_16950", "predicate": "proves", "object": "we formulate @xmath0=1 super yang - mills theory in 3 + 1 dimensions on a two dimensional transverse"}
{"subject": "math:arxiv_16958", "predicate": "proves", "object": "a class of laplacian growth models in the channel geometry is studied using the formalism of _ tripo"}
{"subject": "math:arxiv_16976", "predicate": "proves", "object": "we construct stellar models of hadron stars and hybrid stars and calculate the frequencies of their "}
{"subject": "math:arxiv_16984", "predicate": "proves", "object": "we propose a new method to construct an isotropic cellular automaton corresponding to a reaction - d"}
{"subject": "math:arxiv_16992", "predicate": "proves", "object": "we use the torsional angles of the protein chain as generalized coordinates in the canonical formali"}
{"subject": "math:arxiv_17000", "predicate": "proves", "object": "solving quaternion kinematical differential equations is one of the most significant problems in the"}
{"subject": "math:arxiv_17013", "predicate": "proves", "object": "we investigate the period function of @xmath0 , showing it can be analytically continued to @xmath1 "}
{"subject": "math:arxiv_17014", "predicate": "proves", "object": "in spin-1 collective atomic systems , the spin and nematic - tensor operators constitute the su(3 ) "}
{"subject": "math:arxiv_17019", "predicate": "proves", "object": "we consider a porous medium being saturated with a pore fluid ( biot s theory ) . the fluid is assum"}
{"subject": "math:arxiv_17021", "predicate": "proves", "object": "we solve the percus - yevick equation in two dimensions by reducing it to a set of simple integral e"}
{"subject": "math:arxiv_17028", "predicate": "proves", "object": "we derive a mass formula for @xmath0-dimensional unimodular lattices having any prescribed root syst"}
{"subject": "math:arxiv_17034", "predicate": "proves", "object": "to understand the nonlinear dynamics of the parker scenario for coronal heating , long - time high -"}
{"subject": "math:arxiv_17084", "predicate": "proves", "object": "in this paper , we consider three types of k - essence . \n these k - essence models were presented i"}
{"subject": "math:arxiv_17086", "predicate": "proves", "object": "we consider the linear response of systems modelled by continuous - time random walks ( ctrw ) and b"}
{"subject": "math:arxiv_17118", "predicate": "proves", "object": "periodic orbit quantization requires an analytic continuation of non - convergent semiclassical trac"}
{"subject": "math:arxiv_17125", "predicate": "proves", "object": "token ring topology has been frequently used in the design of distributed loop computer networks and"}
{"subject": "math:arxiv_17148", "predicate": "proves", "object": "we study exceptional torsion in the integral cohomology of a family of @xmath0-groups associated to "}
{"subject": "math:arxiv_17149", "predicate": "proves", "object": "we analyse the effects of atom  atom collisions on collective laser cooling scheme . \n we derive a q"}
{"subject": "math:arxiv_17151", "predicate": "proves", "object": "a kinetic approach for the evolution of ultracold neutral plasmas including interionic correlations "}
{"subject": "math:arxiv_17168", "predicate": "proves", "object": "the effects of anisoplanatism on the adaptive optics point spread function are investigated . \n a mo"}
{"subject": "math:arxiv_17176", "predicate": "proves", "object": "we study the role of finite - size effects at the hadron - quark phase transition in a new hybrid eq"}
{"subject": "math:arxiv_17180", "predicate": "proves", "object": "if the universe has a nontrivial shape ( topology ) the sky may show multiple correlated images of c"}
{"subject": "math:arxiv_17186", "predicate": "proves", "object": "time - frequency resolved coherent anti - stokes raman scattering ( tfrcars ) was recently proposed "}
{"subject": "math:arxiv_17187", "predicate": "proves", "object": "we argue that the formation of a schwarzschild black hole via datt - oppenheimer - snyder type gravi"}
{"subject": "math:arxiv_17198", "predicate": "proves", "object": "we deal with the singularly perturbed nagumo - type equation @xmath0 where @xmath1 is a real paramet"}
{"subject": "math:arxiv_17207", "predicate": "proves", "object": "using the newman and penrose spin coefficient ( np ) formalism , we provide a derivation of the dyer"}
{"subject": "math:arxiv_17210", "predicate": "proves", "object": "we construct examples of codimension two hyperbolic link complements in closed smooth 4-manifolds wi"}
{"subject": "math:arxiv_17212", "predicate": "proves", "object": "the notion of geometric construction is introduced . \n this notion allows to compare incidence confi"}
{"subject": "math:arxiv_17230", "predicate": "proves", "object": "the adsorption of large ions from solution to a charged surface is investigated theoretically . a ge"}
{"subject": "math:arxiv_17233", "predicate": "proves", "object": "in this work , we explore a new direction by complementing the game - theoretic applications of nonl"}
{"subject": "math:arxiv_17262", "predicate": "proves", "object": "we continue the program started in @xcite to understand the combinatorial commutative algebra of the"}
{"subject": "math:arxiv_17308", "predicate": "proves", "object": "a spectral parameter power series ( spps ) representation for regular solutions of singular bessel t"}
{"subject": "math:arxiv_17315", "predicate": "proves", "object": "in this paper , we investigate the modified geodesic deviation equation ( gde ) in the framework of "}
{"subject": "math:arxiv_17354", "predicate": "proves", "object": "a perturbative quantum master equation is derived for a system interacting with its environment , wh"}
{"subject": "math:arxiv_17359", "predicate": "proves", "object": "according to a theorem of courcelle monadic second - order logic and guarded second - order logic ( "}
{"subject": "math:arxiv_17364", "predicate": "proves", "object": "we show analytically that newtonian iterations , when applied to a  polynomial equation , have a pos"}
{"subject": "math:arxiv_17368", "predicate": "proves", "object": "we present a detailed theoretical analysis for a system of a superconducting flux qubit coupled to a"}
{"subject": "math:arxiv_17370", "predicate": "proves", "object": "the paper proposes a method to obtain the optimal basis set for solving the self consistent field ( "}
{"subject": "math:arxiv_17378", "predicate": "proves", "object": "using razborov s flag algebras we show that a triangle - free graph on @xmath0 vertices contains at "}
{"subject": "math:arxiv_17387", "predicate": "proves", "object": "we use the relativistic mean field ( rmf ) method to calculate properties of neutron rich , usually "}
{"subject": "math:arxiv_17402", "predicate": "proves", "object": "we present master formulas for the divergent part of the one - loop effective action for an arbitrar"}
{"subject": "math:arxiv_17406", "predicate": "proves", "object": "we explore gravitating relativistic spheres composed of an anisotropic , barotropic fluid . \n we ass"}
{"subject": "math:arxiv_17407", "predicate": "proves", "object": "in this paper we investigate how the equilibrium characteristics of conventional power systems may c"}
{"subject": "math:arxiv_17416", "predicate": "proves", "object": "first , we stress that for correct description of highly relativistic fermions in a gravitational fi"}
{"subject": "math:arxiv_17446", "predicate": "proves", "object": "irreversible aggregation processes involving reactive and frozen clusters are investigated using the"}
{"subject": "math:arxiv_17454", "predicate": "proves", "object": "this paper presents a boundary - integral equation ( bie ) method for the calculation of poloidal ax"}
{"subject": "math:arxiv_17460", "predicate": "proves", "object": "we show that a set of @xmath0 algebraic plane curves of constant maximum degree can be cut into @xma"}
{"subject": "math:arxiv_17470", "predicate": "proves", "object": "in previous works , we investigated the use of local filters based on partial differential equations"}
{"subject": "math:arxiv_17497", "predicate": "proves", "object": "we would like to formulate relativistic dissipative hydrodynamics for multi - component systems with"}
{"subject": "math:arxiv_17531", "predicate": "proves", "object": "we investigate the consequences of birkhoff s theorem in general relativity ( gr ) and in modified n"}
{"subject": "math:arxiv_17538", "predicate": "proves", "object": "we prove that every distributive algebraic lattice with at most  @xmath0 compact elements is isomorp"}
{"subject": "math:arxiv_17544", "predicate": "proves", "object": "we study the asymptotic distribution of critical values of random holomorphic sections @xmath0 of po"}
{"subject": "math:arxiv_17547", "predicate": "proves", "object": "comparing numerically evaluated excitation gaps of dimerized spin-@xmath0 xxz chains with the gap fo"}
{"subject": "math:arxiv_17550", "predicate": "proves", "object": "in this note the long standing problem of the definition of a poisson bracket in the framework of a "}
{"subject": "math:arxiv_17561", "predicate": "proves", "object": "we present a new method to introduce phase - space fluctuations in transport theories , correspondin"}
{"subject": "math:arxiv_17623", "predicate": "proves", "object": "we introduce two notions of amenability for a banach algebra @xmath0 . \n let @xmath1 be a closed two"}
{"subject": "math:arxiv_17630", "predicate": "proves", "object": "the low - frequency acoustic - like modes in a pair plasma ( electron - positron or pair - ion ) is "}
{"subject": "math:arxiv_17645", "predicate": "proves", "object": "dynamic response of the @xmath0 spinor bose - einstein condensate ( bec ) under the influence of ext"}
{"subject": "math:arxiv_17650", "predicate": "proves", "object": "the state sums defining the quantum hyperbolic invariants ( qhi ) of hyperbolic oriented cusped @xma"}
{"subject": "math:arxiv_17654", "predicate": "proves", "object": "we review and formulate results concerning log - concavity and strong - log - concavity in both disc"}
{"subject": "math:arxiv_17655", "predicate": "proves", "object": "using the gauss - bonnet formula , integral of the gaussian curvature over a 2-surface enclosed by a"}
{"subject": "math:arxiv_17667", "predicate": "proves", "object": "nonequilibrium dynamics at interfaces is generally driven by a chemical potential . here \n we demons"}
{"subject": "math:arxiv_17668", "predicate": "proves", "object": "we consider the t - congruence sylvester equation @xmath0 , where @xmath1 , @xmath2 and @xmath3 are "}
{"subject": "math:arxiv_17678", "predicate": "proves", "object": "formulating the equations of motion for cosmological bodies ( such as galaxies ) in an integral , ra"}
{"subject": "math:arxiv_17684", "predicate": "proves", "object": "the master formulae of the cb model of long durations gamma ray bursts ( grbs ) which reproduce very"}
{"subject": "math:arxiv_17702", "predicate": "proves", "object": "systems described by equations involving both multiplicative and additive noise are common in nature"}
{"subject": "math:arxiv_17736", "predicate": "proves", "object": "recently , ishiwata , kawabi and kotani @xcite proved two kinds of central limit theorems for non - "}
{"subject": "math:arxiv_17741", "predicate": "proves", "object": "we introduce a common generalization of the strong hanani  tutte theorem and the weak hanani  tutte "}
{"subject": "math:arxiv_17797", "predicate": "proves", "object": "the effects of adsorbates on nucleation and growth of two - dimensional islands is investigated by k"}
{"subject": "math:arxiv_17811", "predicate": "proves", "object": "cylindrical algebraic decomposition(cad ) is a key tool in computational algebraic geometry , partic"}
{"subject": "math:arxiv_17821", "predicate": "proves", "object": "in this paper we generalize the quantization procedure of toda - mkdv hierarchies to the case of arb"}
{"subject": "math:arxiv_17825", "predicate": "proves", "object": "this paper proposes a novel conservative method for numerical computation of general stochastic diff"}
{"subject": "math:arxiv_17841", "predicate": "proves", "object": "topology change  the creation of a disconnected baby universe  due to black hole collapse may resolv"}
{"subject": "math:arxiv_17857", "predicate": "proves", "object": "the redistribution of electrical currents in resistor networks after single - bond failures is analy"}
{"subject": "math:arxiv_17858", "predicate": "proves", "object": "using the strong coupling diagram technique a self - consistent equation for the electron green s fu"}
{"subject": "math:arxiv_17862", "predicate": "proves", "object": "the tunneling conductance spectra of a normal metal / insulator / singlet superconductor is calculat"}
{"subject": "math:arxiv_17871", "predicate": "proves", "object": "we study in detail the generation and relaxation of quantum coherences ( entanglement ) in a system "}
{"subject": "math:arxiv_17873", "predicate": "proves", "object": "we propose a general method to analytically solve transport equations during a cosmic phase transiti"}
{"subject": "math:arxiv_17909", "predicate": "proves", "object": "higher order conformal perturbation theory is studied for theories with and without boundaries . \n w"}
{"subject": "math:arxiv_17931", "predicate": "proves", "object": "we develop a diagrammatic perturbation treatment to calculate the zero - temperature equation of sta"}
{"subject": "math:arxiv_17942", "predicate": "proves", "object": "the enhancement of neutrino oscillations in matter is briefly reviewed . \n exact and approximate sol"}
{"subject": "math:arxiv_17949", "predicate": "proves", "object": "photoassociation ( pa ) of ultracold metastable helium to the @xmath0 manifold is theoretically inve"}
{"subject": "math:arxiv_17951", "predicate": "proves", "object": "an open question of whether phenomenological fluid equations to be used for direct numerical simulat"}
{"subject": "math:arxiv_17981", "predicate": "proves", "object": "we develop an iterative diagonalization scheme in solving a one - body self - consistent - field equ"}
{"subject": "math:arxiv_17985", "predicate": "proves", "object": "we study the symmetric - side - channel - assisted private capacity of a quantum channel , for which"}
{"subject": "math:arxiv_18000", "predicate": "proves", "object": "we discuss the solutions of qcd evolution equations with saturation in the high energy limit . \n we "}
{"subject": "math:arxiv_18006", "predicate": "proves", "object": "we give a derivation of the particle - hole rpa equations for an interacting multi - fermion system "}
{"subject": "math:arxiv_18012", "predicate": "proves", "object": "we study electronic structure of vortex core states of fese superconductors based on a t@xmath0 thre"}
{"subject": "math:arxiv_18058", "predicate": "proves", "object": "we give a formula for alexander polynomials of doubly primitive knots . \n this also gives a practica"}
{"subject": "math:arxiv_18065", "predicate": "proves", "object": "we report the existence and properties of localized modes described by nonlinear schrdinger equation"}
{"subject": "math:arxiv_18087", "predicate": "proves", "object": "in this work we have employed bethe - salpeter equation ( bse ) under covariant instantaneous ansatz"}
{"subject": "math:arxiv_18105", "predicate": "proves", "object": "this paper gives mathematical models for flat knotted ribbons , and makes specific conjectures for t"}
{"subject": "math:arxiv_18112", "predicate": "proves", "object": "we discuss a possible approach to the absorption problem in quantum mechanics based on using of sing"}
{"subject": "math:arxiv_18129", "predicate": "proves", "object": "we prove stanley s plethysm conjecture for the @xmath0 case , which composed with the work of black "}
{"subject": "math:arxiv_18132", "predicate": "proves", "object": "two alternative vinen s evolution equations for the vortex line density @xmath0 in counterflow super"}
{"subject": "math:arxiv_18162", "predicate": "proves", "object": "we study the evolutionary robustness of strategies in infinitely repeated prisoners dilemma games in"}
{"subject": "math:arxiv_18178", "predicate": "proves", "object": "we use ideas from kinetic proofreading , an error - correcting mechanism in biology , to identify ne"}
{"subject": "math:arxiv_18181", "predicate": "proves", "object": "attaching a 2handle to a genus two or greater boundary component of a 3manifold is a natural general"}
{"subject": "math:arxiv_18196", "predicate": "proves", "object": "it is shown that the kernel of the fock representation of a certain wick algebra with braided operat"}
{"subject": "math:arxiv_18202", "predicate": "proves", "object": "this paper explores the birational geometry of a general horrocksmumford  quintic threefold , descri"}
{"subject": "math:arxiv_18205", "predicate": "proves", "object": "a solution to a @xmath0-satisfiability ( @xmath0-sat ) formula can be expanded into a cluster , all "}
{"subject": "math:arxiv_18212", "predicate": "proves", "object": "this letter proposes to estimate low - rank matrices by formulating a convex optimization problem wi"}
{"subject": "math:arxiv_18214", "predicate": "proves", "object": "in 1965 , e. c. zeeman proved that the @xmath0-twist spin of any knotted sphere in @xmath1-space is "}
{"subject": "math:arxiv_18229", "predicate": "proves", "object": "in this paper we describe the topology of 4-dimensional closed orientable riemannian manifolds with "}
{"subject": "math:arxiv_18230", "predicate": "proves", "object": "in order to verify percival s conjecture [ j. phys . \n b 6,l229 ( 1973 ) ] we study a planar billiar"}
{"subject": "math:arxiv_18247", "predicate": "proves", "object": "we investigate two settings of ginzburg - landau posed on a manifold where vortices are unstable . \n"}
{"subject": "math:arxiv_18263", "predicate": "proves", "object": "while the existence of low - dimensional embedding manifolds has been shown in patterns of collectiv"}
{"subject": "math:arxiv_18265", "predicate": "proves", "object": "systems that are driven out of thermal equilibrium typically dissipate random quantities of energy o"}
{"subject": "math:arxiv_18270", "predicate": "proves", "object": "we study the composition of the functor from the category of modules over the lie algebra @xmath0 to"}
{"subject": "math:arxiv_18292", "predicate": "proves", "object": "we study the cooling of superfluid neutron stars whose cores consist of nucleon matter with the akma"}
{"subject": "math:arxiv_18309", "predicate": "proves", "object": "functional and linear - algebraic approaches to the delsarte problem of upper bounds on codes are di"}
{"subject": "math:arxiv_18335", "predicate": "proves", "object": "we present a modal approach to calculate finite temperature casimir interactions between two periodi"}
{"subject": "math:arxiv_18339", "predicate": "proves", "object": "we establish a new algorithm that generates a new solution to the einstein field equations , with an"}
{"subject": "math:arxiv_18349", "predicate": "proves", "object": "we present results of radiative transfer calculations of compton scattering of polarized radiation i"}
{"subject": "math:arxiv_18358", "predicate": "proves", "object": "we discuss axisymmetric force - free pulsar magnetospheres with magnetically collimated jets and a d"}
{"subject": "math:arxiv_18368", "predicate": "proves", "object": "the two - equation of state ( eos ) model is used to describe the hadron - quark phase transition in"}
{"subject": "math:arxiv_18370", "predicate": "proves", "object": "the geometry of the dust distribution within the inner regions of active galactic nuclei ( agn ) is "}
{"subject": "math:arxiv_18376", "predicate": "proves", "object": "this work introduces novel unconditionally stable operator splitting methods for solving the time de"}
{"subject": "math:arxiv_18377", "predicate": "proves", "object": "a consistent hartree - fock study of the equation of state ( eos ) of asymmetric nuclear matter at f"}
{"subject": "math:arxiv_18383", "predicate": "proves", "object": "a thermodynamics for systems at a stationary state is formulated . \n it is based upon the assumption"}
{"subject": "math:arxiv_18387", "predicate": "proves", "object": "we derive the equations of celestial mechanics governing the variations of the orbital elements unde"}
{"subject": "math:arxiv_18396", "predicate": "proves", "object": "we numerically study the symmetry breaking instabilities of vortex patterns in a rotating harmonic p"}
{"subject": "math:arxiv_18401", "predicate": "proves", "object": "the aim of this text is to provide a clear description of the theory of infra - nilmanifolds and the"}
{"subject": "math:arxiv_18419", "predicate": "proves", "object": "this paper concerns the absolute versus relative motion debate . \n the barbour and bertotti 1982 wor"}
{"subject": "math:arxiv_18424", "predicate": "proves", "object": "we give a review of truncated l@xmath0 algebras , as used in the study of higher gauge theory . \n th"}
{"subject": "math:arxiv_18454", "predicate": "proves", "object": "we compare n - body simulations performed in mond with analogs in newtonian gravity with dark matter"}
{"subject": "math:arxiv_18493", "predicate": "proves", "object": "we present an analysis of the effects of global topology on the structural stability of folded prote"}
{"subject": "math:arxiv_18498", "predicate": "proves", "object": "we investigate the convergence of mckean  vlasov diffusions in a nonconvex landscape . \n these proce"}
{"subject": "math:arxiv_18507", "predicate": "proves", "object": "in this paper we investigate tensor modes of perturbations in the universe governed by loop quantum "}
{"subject": "math:arxiv_18527", "predicate": "proves", "object": "an exact solution of the einstein - maxwell field equations for a conformastatic metric with magneti"}
{"subject": "math:arxiv_18541", "predicate": "proves", "object": "this paper generalizes the szemerdi - trotter theorem to the complex plane . \n szemerdi and trotter "}
{"subject": "math:arxiv_18556", "predicate": "proves", "object": "we derive the relativistic equations for stellar perturbations , including in a consistent way shear"}
{"subject": "math:arxiv_18562", "predicate": "proves", "object": "in the framework of the spacetime with torsion , we obtain the flavor evolution equation of the mass"}
{"subject": "math:arxiv_18572", "predicate": "proves", "object": "we perform numerical simulation based on the time - dependent mean - field gross - pitaevskii equati"}
{"subject": "math:arxiv_18583", "predicate": "proves", "object": "rains bound is arguably the best known upper bound of the distillable entanglement by operations com"}
{"subject": "math:arxiv_18591", "predicate": "proves", "object": "we explore the phenomenon of spiral defect chaos in two types of generalized swift - hohenberg model"}
{"subject": "math:arxiv_18602", "predicate": "proves", "object": "the @xmath0 operator in @xmath1-symmetric quantum mechanics satisfies a system of three simultaneous"}
{"subject": "math:arxiv_18614", "predicate": "proves", "object": "we explore the three - body problem in two dimensions using the adiabatic hyperspherical representat"}
{"subject": "math:arxiv_18638", "predicate": "proves", "object": "we analyze fourier hyperfunction and hyperfunction semigroups with non - densely defined generators "}
{"subject": "math:arxiv_18655", "predicate": "proves", "object": "for open systems described by the quantum markovian master equation , we study a possible extension "}
{"subject": "math:arxiv_18659", "predicate": "proves", "object": "in part 1 , we describe six projective - type model structures on the category of differential grade"}
{"subject": "math:arxiv_18665", "predicate": "proves", "object": "we generalize the construction of the bracelet and bangle bases defined in  @xcite and the band basi"}
{"subject": "math:arxiv_18668", "predicate": "proves", "object": "if @xmath0 , @xmath1 , @xmath2 are irreducible @xmath3-representations , we give an easy and explici"}
{"subject": "math:arxiv_18671", "predicate": "proves", "object": "knot theory | medial set | knot complexity | computational knot theory | knotspace deconstruction | "}
{"subject": "math:arxiv_18695", "predicate": "proves", "object": "it was shown by bonahon  otal and hodgson  rubinstein that any two genus \n one heegaard splittings o"}
{"subject": "math:arxiv_18701", "predicate": "proves", "object": "a balanced graph is a bipartite graph with no induced circuit of length @xmath0 . \n these graphs ari"}
{"subject": "math:arxiv_18720", "predicate": "proves", "object": "a method to calculate nmr j - coupling constants from first principles in extended systems is presen"}
{"subject": "math:arxiv_18732", "predicate": "proves", "object": "a constructive version of newton  puiseux theorem for computing the puiseux expansions of algebraic "}
{"subject": "math:arxiv_18733", "predicate": "proves", "object": "instead of using a frequency dependent refractive index , we propose to use the extinction theorem t"}
{"subject": "math:arxiv_18740", "predicate": "proves", "object": "the generalised eigenvalues for a pair of @xmath0 matrices @xmath1 are defined as the solutions of t"}
{"subject": "math:arxiv_18754", "predicate": "proves", "object": "the bargmann - michel - telegdi equations describing the motions of a spinning , charged , relativis"}
{"subject": "math:arxiv_18757", "predicate": "proves", "object": "self - consistent solutions of hedin s diagrammatic theory equations ( he ) for the two - site hubba"}
{"subject": "math:arxiv_18772", "predicate": "proves", "object": "we present some results on stabilization for reduced - order models ( roms ) of partial differential"}
{"subject": "math:arxiv_18773", "predicate": "proves", "object": "we study one - dimensional neighborhood - five conservative cellular automata ( ca ) , referred to a"}
{"subject": "math:arxiv_18781", "predicate": "proves", "object": "this paper provides a small noise approximation for local random center manifolds of a class of stoc"}
{"subject": "math:arxiv_18785", "predicate": "proves", "object": "the spherical to gamma - unstable nuclei shape- phase transition in odd - a nuclei is investigated b"}
{"subject": "math:arxiv_18800", "predicate": "proves", "object": "when using einstein s equations , there exist a number of techniques for embedding non - linear stru"}
{"subject": "math:arxiv_18808", "predicate": "proves", "object": "we numerically investigate the distribution of extrema of chaotic laplacian eigenfunctions on two - "}
{"subject": "math:arxiv_18816", "predicate": "proves", "object": "we consider the wave equation @xmath0 with @xmath1 in @xmath2 . \n the wave equation on a spherically"}
{"subject": "math:arxiv_18825", "predicate": "proves", "object": "although the unified formula for @xmath0-ray absorption process involving both the magnetic field an"}
{"subject": "math:arxiv_18830", "predicate": "proves", "object": "ambiguity in the contact between laboratory instruments and equations of quantum mechanics is formul"}
{"subject": "math:arxiv_18835", "predicate": "proves", "object": "we study the quantum jarzynski relation for driven quantum models embedded in various environments ."}
{"subject": "math:arxiv_18843", "predicate": "proves", "object": "we derive the equations for approximate particle number projection based on mean field wave function"}
{"subject": "math:arxiv_18845", "predicate": "proves", "object": "in 1971 feynman , kislinger and ravndal @xcite proposed lorentz - invariant differential equation ca"}
{"subject": "math:arxiv_18848", "predicate": "proves", "object": "non - linear equations of radial motion of a gas bubble in a compressible viscous liquid have been m"}
{"subject": "math:arxiv_18863", "predicate": "proves", "object": "does every smooth vector field on a closed three - manifold , for example the three - sphere , have "}
{"subject": "math:arxiv_18868", "predicate": "proves", "object": "in this talk the pomeron conjecture is reviewed and constituent gluon models are derived . in a simp"}
{"subject": "math:arxiv_18899", "predicate": "proves", "object": "we consider a linear scalar delay differential equation , consisting of two arbitrary distributed ti"}
{"subject": "math:arxiv_18931", "predicate": "proves", "object": "let @xmath0 be the set of equivariant unoriented cobordism classes of all @xmath1-dimensional 2-toru"}
{"subject": "math:arxiv_18938", "predicate": "proves", "object": "using standard calculus , explicit formulas for one- , two- and three - dimensional homotopy operato"}
{"subject": "math:arxiv_18959", "predicate": "proves", "object": "this work studies solutions of the scalar wave equation @xmath0 on a fixed subextremal reissner \n no"}
{"subject": "math:arxiv_18960", "predicate": "proves", "object": "we construct explicit solutions to the discrete motion of discrete plane curves that has been introd"}
{"subject": "math:arxiv_18966", "predicate": "proves", "object": "a complete numerical solution of the evolution equation for parton multiplicities in quark and gluon"}
{"subject": "math:arxiv_18976", "predicate": "proves", "object": "we study soliton solutions to the dkp equation which is defined by the hirota bilinear form , @xmath"}
{"subject": "math:arxiv_18984", "predicate": "proves", "object": "self - consistent solutions to the spinor , scalar and bi gravitational field equations are obtained"}
{"subject": "math:arxiv_18987", "predicate": "proves", "object": "an interesting problem in classical differential geometry is to find methods to prove that two surfa"}
{"subject": "math:arxiv_18990", "predicate": "proves", "object": "recently , the dsbgk method ( _ note _ : the original name ds - bgk is changed to dsbgk for simplici"}
{"subject": "math:arxiv_19026", "predicate": "proves", "object": "the verlet method is still widely used to integrate the equations of motion in _ ab initio _ molecul"}
{"subject": "math:arxiv_19077", "predicate": "proves", "object": "an _ @xmath0-join - type curve _ is a curve in @xmath1 defined by an equation of the form @xmath2 wh"}
{"subject": "math:arxiv_19109", "predicate": "proves", "object": "we consider a semilinear elliptic problem with a nonlinear term which is the product of a power and "}
{"subject": "math:arxiv_19116", "predicate": "proves", "object": "we formulate a method allowing to confirm or exclude the alternative models of material properties a"}
{"subject": "math:arxiv_19137", "predicate": "proves", "object": "a matroid is _ @xmath0-regular _ if it is representable over all proper superfields of the field @xm"}
{"subject": "math:arxiv_19142", "predicate": "proves", "object": "one dimensional klein - gordon ( kg ) equation is investigated in the domain of conformable fraction"}
{"subject": "math:arxiv_19144", "predicate": "proves", "object": "we study the interaction of both dense and sparse multi - armed spirals in bistable media modeled by"}
{"subject": "math:arxiv_19149", "predicate": "proves", "object": "we perform a minisuperspace analysis of an information - theoretic nonlinear wheeler - dewitt ( wdw "}
{"subject": "math:arxiv_19151", "predicate": "proves", "object": "we compute the propagation and scattering of linear gravitational waves off a schwarzschild black ho"}
{"subject": "math:arxiv_19164", "predicate": "proves", "object": "the tait conjecture states that reduced alternating diagrams of links in @xmath0 have the minimal nu"}
{"subject": "math:arxiv_19192", "predicate": "proves", "object": "the half - liberated orthogonal group @xmath0 appears as intermediate quantum group between the orth"}
{"subject": "math:arxiv_19203", "predicate": "proves", "object": "we present a general numerical approach to shape optimization with state constraints for 2-dimension"}
{"subject": "math:arxiv_19225", "predicate": "proves", "object": "motivated by the fundamental results of the geometric algebra we study quadrilateral lattices in pro"}
{"subject": "math:arxiv_19240", "predicate": "proves", "object": "gluon , ghost , and quark propagators are computed in the schwinger - dyson formalism . \n the full s"}
{"subject": "math:arxiv_19250", "predicate": "proves", "object": "in terms of a rephasing invariant parametrization , the set of renormalization group equations ( rge"}
{"subject": "math:arxiv_19276", "predicate": "proves", "object": "we consider the kardar - parisi - zhang ( kpz ) equation for a circular interface in two dimensions "}
{"subject": "math:arxiv_19277", "predicate": "proves", "object": "we give explicit formulas for the chern - schwartz - macpherson classes of all schubert varieties in"}
{"subject": "math:arxiv_19282", "predicate": "proves", "object": "inspired by work of mcmullen , we show that any orbit of the diagonal group in the space of lattices"}
{"subject": "math:arxiv_19285", "predicate": "proves", "object": "using the parametrized post - newtonian equations of hydrodynamics , we derive the tensor form of th"}
{"subject": "math:arxiv_19296", "predicate": "proves", "object": "in this note we prove the dual representation formula of the divergence between two distributions in"}
{"subject": "math:arxiv_19318", "predicate": "proves", "object": "a characterization of textured patterns , referred to as the disorder function @xmath0 , is used to "}
{"subject": "math:arxiv_19323", "predicate": "proves", "object": "many problems in geometry , topology and dynamical systems on surfaces lead to the study of closed s"}
{"subject": "math:arxiv_19324", "predicate": "proves", "object": "we investigate the polarization fluctuations caused by quantum noise in quantum well vertical cavity"}
{"subject": "math:arxiv_19330", "predicate": "proves", "object": "the study of phase - space constructions based on the properties of the @xmath0-poincar hopf algebra"}
{"subject": "math:arxiv_19349", "predicate": "proves", "object": "we point out a new view on slow invariant manifolds ( sim ) in dynamical systems which departs from "}
{"subject": "math:arxiv_19350", "predicate": "proves", "object": "_ we apply the principles discussed in an earlier paper to the construction of discrete time field t"}
{"subject": "math:arxiv_19354", "predicate": "proves", "object": "we report an exploratory lattice investigation of @xmath0 meson decay width using @xmath1-wave scatt"}
{"subject": "math:arxiv_19365", "predicate": "proves", "object": "a maximum entropy theorem is developed and tested for granular contact forces . \n although it is ide"}
{"subject": "math:arxiv_19372", "predicate": "proves", "object": "we modify the kinetic ising model with metropolis dynamics , allowing each spin to interact only wit"}
{"subject": "math:arxiv_19378", "predicate": "proves", "object": "we simulate numerically the full dynamics of faraday waves in three dimensions for two incompressibl"}
{"subject": "math:arxiv_19398", "predicate": "proves", "object": "we show both the leading and subleading double soft theorems of the nonlinear sigma model follow fro"}
{"subject": "math:arxiv_19409", "predicate": "proves", "object": "we present the non - abelian stokes theorem for the wilson loop in various forms and discuss its mea"}
{"subject": "math:arxiv_19415", "predicate": "proves", "object": "we revisit the conjecture of a generalized second law of thermodynamics which states that the combin"}
{"subject": "math:arxiv_19432", "predicate": "proves", "object": "we show that on the dual of a lie algebra @xmath0 of dimension @xmath1 , the star - product recently"}
{"subject": "math:arxiv_19451", "predicate": "proves", "object": "an ab initio based theoretical approach to describe nonequilibrium many - body effects in molecular "}
{"subject": "math:arxiv_19453", "predicate": "proves", "object": "the properties of nuclear matter are studied using state - of - the - art nucleon - nucleon forces u"}
{"subject": "math:arxiv_19455", "predicate": "proves", "object": "a control software verification framework for gas turbine engines is developed . \n a stability proof"}
{"subject": "math:arxiv_19467", "predicate": "proves", "object": "we construct a complete lattice @xmath0 such that the binary supremum function @xmath1 is discontinu"}
{"subject": "math:arxiv_19473", "predicate": "proves", "object": "we predict the structural interaction of crystalline solid - melt interfaces using amplitude equatio"}
{"subject": "math:arxiv_19484", "predicate": "proves", "object": "let @xmath0 be a collection of @xmath1 points moving along pseudo - algebraic trajectories in the pl"}
{"subject": "math:arxiv_19490", "predicate": "proves", "object": "in this work we consider the kantowski - sachs ( ks ) universe in the framework of varying speed of "}
{"subject": "math:arxiv_19493", "predicate": "proves", "object": "we obtain a system of exact solutions of the dirac equation for an electron moving in a constant hom"}
{"subject": "math:arxiv_19494", "predicate": "proves", "object": "we present a simple formulation of non - linear supersymmetry where superfields and partnerless fiel"}
{"subject": "math:arxiv_19512", "predicate": "proves", "object": "we derive exact analytical formulas for the radiative heat transfer between parallel slabs separated"}
{"subject": "math:arxiv_19515", "predicate": "proves", "object": "we revisit the classical rolling ball theorem of blaschke for convex surfaces with positive curvatur"}
{"subject": "math:arxiv_19516", "predicate": "proves", "object": "kinetic models for vehicular traffic are reviewed and considered from the point of view of deriving "}
{"subject": "math:arxiv_19522", "predicate": "proves", "object": "we formulate and study , in general terms , the problem of quantum system identification , i.e. , th"}
{"subject": "math:arxiv_19578", "predicate": "proves", "object": "we construct a two - dimensional tight - binding model of an optical lattice , where the low energy "}
{"subject": "math:arxiv_19602", "predicate": "proves", "object": "using a new approach , we have obtained a formula for calculating the rotation period and radius of "}
{"subject": "math:arxiv_19631", "predicate": "proves", "object": "schwinger pair creation in a purely time - dependent electric field can be described through a quant"}
{"subject": "math:arxiv_19635", "predicate": "proves", "object": "we show that every hyperbolic knot complement contains a closed quasi - fuchsian surface . \n joseph "}
{"subject": "math:arxiv_19649", "predicate": "proves", "object": "the  polymer reference interaction site model  ( prism ) integral equation theory is used to determi"}
{"subject": "math:arxiv_19653", "predicate": "proves", "object": "when a nonequilibrium growing interface in the presence of a wall is considered a nonequilibrium wet"}
{"subject": "math:arxiv_19664", "predicate": "proves", "object": "we consider here a recent conjecture stating that correlation functions and tail probabilities of fi"}
{"subject": "math:arxiv_19671", "predicate": "proves", "object": "one of the objectives of theories describing quantum dynamical geometry is to compute expectation va"}
{"subject": "math:arxiv_19678", "predicate": "proves", "object": "nadirashvili presented a beautiful example showing that the poincar recurrence does not occur near a"}
{"subject": "math:arxiv_19703", "predicate": "proves", "object": "it is known that families of graphs with a semialgebraic edge relation of bounded complexity satisfy"}
{"subject": "math:arxiv_19706", "predicate": "proves", "object": "the radial entropy profile of the hot gas in clusters of galaxies tends to follow a power law in rad"}
{"subject": "math:arxiv_19735", "predicate": "proves", "object": "the geometry of optical lattices can be engineered allowing the study of atomic transport along path"}
{"subject": "math:arxiv_19739", "predicate": "proves", "object": "lisa may make it possible to test the black - hole uniqueness theorems of general relativity , also "}
{"subject": "math:arxiv_19752", "predicate": "proves", "object": "we discuss the evolution of cosmological tensor perturbations in the rsii model . in gaussian normal"}
{"subject": "math:arxiv_19753", "predicate": "proves", "object": "in this article we extend a previous definition of castelnuovo - mumford regularity for modules over"}
{"subject": "math:arxiv_19757", "predicate": "proves", "object": "we present density functional theory calculations of the geometry , adsorption energy , electronic d"}
{"subject": "math:arxiv_19765", "predicate": "proves", "object": "zitterbewegung oscillation ( zb ) , namely , the jittering center - of - mass motion predicted by fr"}
{"subject": "math:arxiv_19771", "predicate": "proves", "object": "for a closed system with periodic driving , floquet theorem tells that the time evolution operator c"}
{"subject": "math:arxiv_19773", "predicate": "proves", "object": "given a compact oriented 3-manifold @xmath0 in @xmath1 with boundary , an @xmath2-tangle @xmath3 is "}
{"subject": "math:arxiv_19776", "predicate": "proves", "object": "we use a harrison transformation on solutions to the stationary axisymmetric einstein equations to g"}
{"subject": "math:arxiv_19781", "predicate": "proves", "object": "the classical whitney formula relates the number of times an oriented plane curve cuts itself to its"}
{"subject": "math:arxiv_19789", "predicate": "proves", "object": "we employ the approximation of overlapped scattering potentials of charged dust particles exposed to"}
{"subject": "math:arxiv_19794", "predicate": "proves", "object": "within a formulation of a dynamical ads / qcd model we calculate the spectrum of light flavored meso"}
{"subject": "math:arxiv_19830", "predicate": "proves", "object": "the local fourier analysis ( lfa ) is a classic tool to prove convergence theorems for multigrid met"}
{"subject": "math:arxiv_19831", "predicate": "proves", "object": "we study the late - time behavior of spherically symmetric solutions of the yang - mills equations o"}
{"subject": "math:arxiv_19834", "predicate": "proves", "object": "we introduce the notion of isoclinism among crossed modules of lie algebras , which will be called `"}
{"subject": "math:arxiv_19862", "predicate": "proves", "object": "a formulation towards quantifying resource count used in a measurement , that is independent of the "}
{"subject": "math:arxiv_19867", "predicate": "proves", "object": "we present two variational formulae for the capacity in the context of non - selfadjoint elliptic op"}
{"subject": "math:arxiv_19876", "predicate": "proves", "object": "we studied the relation between the initial geometry anisotropy and the anisotropic flow in a multip"}
{"subject": "math:arxiv_19887", "predicate": "proves", "object": "using the explicit numerical solution of the axially - symmetric gross - pitaevskii equation we stud"}
{"subject": "math:arxiv_19907", "predicate": "proves", "object": "the witten - reshetikhin - turaev invariant of classical link diagrams is generalized to virtual lin"}
{"subject": "math:arxiv_19922", "predicate": "proves", "object": "in a previous paper @xcite it was shown that any dark sector model can be mapped into a non - adiaba"}
{"subject": "math:arxiv_19929", "predicate": "proves", "object": "it should be of interest , whether dirac s equation involves all 16 basis elements of his clifford a"}
{"subject": "math:arxiv_19934", "predicate": "proves", "object": "a real 3- or 4-manifold has by definition an orientation preserving smooth involution acting on it ."}
{"subject": "math:arxiv_19996", "predicate": "proves", "object": "exact solutions of the dirac  pauli equation for massive neutrino with anomalous magnetic moment int"}
{"subject": "math:arxiv_20008", "predicate": "proves", "object": "the behavior of staggered domain wall fermions in the presence of gauge fields is presented . in par"}
{"subject": "math:arxiv_20017", "predicate": "proves", "object": "we investigate the mixed dirichlet - neumann boundary value problems for the laplace - beltrami equa"}
{"subject": "math:arxiv_20019", "predicate": "proves", "object": "if @xmath0 are two @xmath1 matrices , then @xmath2 where the sum is over all minors @xcite . an appl"}
{"subject": "math:arxiv_20024", "predicate": "proves", "object": "bell s theorem depends crucially on counterfactual reasoning , and is mistakenly interpreted as ruli"}
{"subject": "math:arxiv_20041", "predicate": "proves", "object": "let @xmath0 be a reductive group in the harish - chandra class e.g. a connected semisimple lie group"}
{"subject": "math:arxiv_20045", "predicate": "proves", "object": "we associate to each discrete partial dynamical system a universal @xmath0-algebra generated by part"}
{"subject": "math:arxiv_20046", "predicate": "proves", "object": "the present study deals with locally rotationally symmetric ( lrs ) bianchi type ii cosmological mod"}
{"subject": "math:arxiv_20052", "predicate": "proves", "object": "finite topological spaces became much more essential in topology , with the development of computer "}
{"subject": "math:arxiv_20095", "predicate": "proves", "object": "it is well - known that a complete riemannian manifold @xmath0 which is locally isometric to a symme"}
{"subject": "math:arxiv_20101", "predicate": "proves", "object": "the ladder proof of nonlocality without inequalities for two spin-@xmath0 particles proposed by hard"}
{"subject": "math:arxiv_20109", "predicate": "proves", "object": "we give a necessary and sufficient condition for the natural boundary of a hilbert geometry to be a "}
{"subject": "math:arxiv_20128", "predicate": "proves", "object": "a bethe ansatz equation associated with the lie superalgebra @xmath0 is studied . a thermodynamic be"}
{"subject": "math:arxiv_20138", "predicate": "proves", "object": "the main result of this paper is the 4-dimensional supermetric version of the wheeler - dewitt equat"}
{"subject": "math:arxiv_20165", "predicate": "proves", "object": "we give a topological formula of the loop expansion of the colored jones polynomials by using identi"}
{"subject": "math:arxiv_20184", "predicate": "proves", "object": "we introduce cafe , a new independent code designed to solve the equations of relativistic ideal mag"}
{"subject": "math:arxiv_20209", "predicate": "proves", "object": "we consider the serre system of equations which is a nonlinear dispersive system that models two - w"}
{"subject": "math:arxiv_20216", "predicate": "proves", "object": "the celebrated perron  frobenius ( pf ) theorem is stated for irreducible nonnegative square matrice"}
{"subject": "math:arxiv_20276", "predicate": "proves", "object": "we present results from recent calculations of the qcd equation of state by the hotqcd collaboration"}
{"subject": "math:arxiv_20281", "predicate": "proves", "object": "we give estimates on the number of combinatorial designs , which prove ( and generalise ) a conjectu"}
{"subject": "math:arxiv_20282", "predicate": "proves", "object": "the growth of confined magnetic films with ferromagnetic interactions between nearest - neighbor spi"}
{"subject": "math:arxiv_20284", "predicate": "proves", "object": "a self - consistent equation to derive a discreteness - induced stochastic steady state is presented"}
{"subject": "math:arxiv_20301", "predicate": "proves", "object": "we prove an asymptotic formula for the probability that , if one chooses a domino tiling of a large "}
{"subject": "math:arxiv_20316", "predicate": "proves", "object": "we prove that over a fano manifold with k - energy of the canonical class @xmath0 bounded from below"}
{"subject": "math:arxiv_20322", "predicate": "proves", "object": "the fluid equations for the baryon - electron system in an expanding universe are derived from the b"}
{"subject": "math:arxiv_20334", "predicate": "proves", "object": "we present a unified formulation for quantum statistical physics based on the representation of the "}
{"subject": "math:arxiv_20344", "predicate": "proves", "object": "there have been a number of forms of a conjecture that there is a universal lower bound on the ratio"}
{"subject": "math:arxiv_20353", "predicate": "proves", "object": "let @xmath0 be a smooth manifold and let @xmath1 be a codimension one , @xmath2 foliation on @xmath0"}
{"subject": "math:arxiv_20357", "predicate": "proves", "object": "the current through ferromagnetic single - electron transistors ( set s ) is considered . using path"}
{"subject": "math:arxiv_20389", "predicate": "proves", "object": "we consider the thermal emission rate of dileptons from a qcd plasma in the small invariant mass ( @"}
{"subject": "math:arxiv_20410", "predicate": "proves", "object": "chang s lemma is a useful tool in additive combinatorics and the analysis of boolean functions . her"}
{"subject": "math:arxiv_20428", "predicate": "proves", "object": "we calculate the chern - simons invariants of the twist knot orbifolds using the schlfli formula for"}
{"subject": "math:arxiv_20451", "predicate": "proves", "object": "it is well known that raman scattering and fluorescence can be enhanced by the presence of metallic "}
{"subject": "math:arxiv_20492", "predicate": "proves", "object": "we consider a stochastic partial differential equation ( spde ) which describes the velocity field o"}
{"subject": "math:arxiv_20495", "predicate": "proves", "object": "based on the beltrami - de sitter spacetime , we present the newton - hooke model under the newton -"}
{"subject": "math:arxiv_20517", "predicate": "proves", "object": "dirac s method for variations of a brane embedded in co - dimension one is demonstrated . \n the vari"}
{"subject": "math:arxiv_20540", "predicate": "proves", "object": "group lifting structures are introduced to provide an algebraic framework for studying lifting facto"}
{"subject": "math:arxiv_20545", "predicate": "proves", "object": "we prove a conjecture of crapo and penne which characterizes isotopy classes of skew configurations "}
{"subject": "math:arxiv_20554", "predicate": "proves", "object": "we propose a systematic formulation of the migration behaviors of a vesicle in a poiseuille flow bas"}
{"subject": "math:arxiv_20562", "predicate": "proves", "object": "we describe the full automorphism group of the power ( di)graph of a finite group . as an applicatio"}
{"subject": "math:arxiv_20579", "predicate": "proves", "object": "we consider second - order linear parabolic operators in non - divergence form that are intrinsicall"}
{"subject": "math:arxiv_20585", "predicate": "proves", "object": "a deterministic method is proposed for solving the boltzmann equation . \n the method employs a galer"}
{"subject": "math:arxiv_20592", "predicate": "proves", "object": "we describe a three - stage procedure to analyze the dependence of poisson boltzmann calculations on"}
{"subject": "math:arxiv_20597", "predicate": "proves", "object": "the mathematical model of a real flexible elastic system with distributed and discrete parameters is"}
{"subject": "math:arxiv_20602", "predicate": "proves", "object": "dynamical nature of the gauge degree of freedom and its effect to fermion spectrum are studied for f"}
{"subject": "math:arxiv_20614", "predicate": "proves", "object": "an explicit formula concerning curve intersections equivalent to the time evolution of the periodic "}
{"subject": "math:arxiv_20622", "predicate": "proves", "object": "the mass spectrum of pure yang - mills theory in @xmath0 dimensions is discussed for an arbitrary si"}
{"subject": "math:arxiv_20624", "predicate": "proves", "object": "in this work we consider the problem of finding optimal regularization parameters for general - form"}
{"subject": "math:arxiv_20648", "predicate": "proves", "object": "an equation containing a fractional power of an elliptic operator of second order is studied for dir"}
{"subject": "math:arxiv_20650", "predicate": "proves", "object": "we formulate a gradual dynamical transition from a power - law inflation era with a scalar field to "}
{"subject": "math:arxiv_20663", "predicate": "proves", "object": "the possible connection between high - t@xmath0 superconductivity and quantum chromodynamics is cons"}
{"subject": "math:arxiv_20677", "predicate": "proves", "object": "we show that some hyperbolic @xmath0-manifolds which are tessellated by copies of the regular ideal "}
{"subject": "math:arxiv_20684", "predicate": "proves", "object": "to study the build up of a magnetic flux rope before a major flare and coronal mass ejection ( cme )"}
{"subject": "math:arxiv_20691", "predicate": "proves", "object": "we present a modal analysis of instabilities of counter - rotating , self - gravitating collisionles"}
{"subject": "math:arxiv_20703", "predicate": "proves", "object": "the eddington - inspired - born - infeld ( eibi ) gravity , which is formulated within the palatini "}
{"subject": "math:arxiv_20705", "predicate": "proves", "object": "we use a combination of numerical and analytical methods , exploiting the equations derived in a pre"}
{"subject": "math:arxiv_20717", "predicate": "proves", "object": "by reformulating the first law of thermodynamics in the fashion of quantum - mechanical operators on"}
{"subject": "math:arxiv_20725", "predicate": "proves", "object": "we prove new estimates for the volume of a lorentzian manifold and show especially that cosmological"}
{"subject": "math:arxiv_20772", "predicate": "proves", "object": "this paper is devoted to an integrable two - component camassa - holm system with cubic nonlinearity"}
{"subject": "math:arxiv_20790", "predicate": "proves", "object": "we construct a pair of transverse genuine laminations on an atoroidal 3-manifold admitting transvers"}
{"subject": "math:arxiv_20801", "predicate": "proves", "object": "we construct a three - point compact finite difference scheme on a non - uniform mesh for the time -"}
{"subject": "math:arxiv_20809", "predicate": "proves", "object": "binding energies of negative and positive trions in doped gaas quantum wells in high magnetic fields"}
{"subject": "math:arxiv_20818", "predicate": "proves", "object": "we study singular curves from analytic point of view . we give completely analytic proofs for the se"}
{"subject": "math:arxiv_20835", "predicate": "proves", "object": "the one - skeleton of a @xmath0-manifold @xmath1 is the set of points @xmath2 where @xmath3 ; and @x"}
{"subject": "math:arxiv_20857", "predicate": "proves", "object": "we present a formula to evaluate the spontaneous emission spectra of an atom in contact with a radia"}
{"subject": "math:arxiv_20877", "predicate": "proves", "object": "the marcus  lushnikov process is a simple mean field model of coagulating particles that converges t"}
{"subject": "math:arxiv_20928", "predicate": "proves", "object": "grlite and grtensorj are first and second generation graphical user interfaces to the computer algeb"}
{"subject": "math:arxiv_20932", "predicate": "proves", "object": "in this paper we survey several intersection and non - intersection phenomena appearing in the realm"}
{"subject": "math:arxiv_20936", "predicate": "proves", "object": "a free scalar field minimally coupled to gravity model is quantized and the wheeler - dewitt equatio"}
{"subject": "math:arxiv_20955", "predicate": "proves", "object": "a fast and stable method is formulated to compute the time evolution of a wavefunction by numericall"}
{"subject": "math:arxiv_20972", "predicate": "proves", "object": "the kondo effect in a luttinger liquid is studied using the renormalization group method . by renorm"}
{"subject": "math:arxiv_20981", "predicate": "proves", "object": "in this paper , we develop a fully discrete galerkin method for solving initial value fractional int"}
{"subject": "math:arxiv_20996", "predicate": "proves", "object": "center manifold analysis can be used in order to investigate the stability of the stationary solutio"}
{"subject": "math:arxiv_21003", "predicate": "proves", "object": "a comprehensive description of methods , suitable for solving the kinetic equation for fast ions and"}
{"subject": "math:arxiv_21004", "predicate": "proves", "object": "we study a brownian particle passively driven by a field obeying the noisy burgers equation . \n we d"}
{"subject": "math:arxiv_21013", "predicate": "proves", "object": "we present an analysis leading to a conjecture on the exact location of the multicritical point in t"}
{"subject": "math:arxiv_21015", "predicate": "proves", "object": "we consider the motion of a two - dimensional body of arbitrary shape in a planar irrotational , inc"}
{"subject": "math:arxiv_21019", "predicate": "proves", "object": "the two  photon decay of heavy , helium  like ions is investigated based on second  order perturbati"}
{"subject": "math:arxiv_21026", "predicate": "proves", "object": "by a theorem of acampo , the eigenvalues of certain coxeter transformations are positive real or lie"}
{"subject": "math:arxiv_21029", "predicate": "proves", "object": "let @xmath0 be a compact semi - algebraic set defined by @xmath1 where @xmath2,$ ] and @xmath3 \n let"}
{"subject": "math:arxiv_21070", "predicate": "proves", "object": "the navier - stokes - korteweg ( nsk ) equations are a classical diffuse - interface model for compr"}
{"subject": "math:arxiv_21077", "predicate": "proves", "object": "the relative efficiencies of the chemical pathways that can lead to the destruction of lih and lih@x"}
{"subject": "math:arxiv_21081", "predicate": "proves", "object": "an algebraic model based on lie - algebraic techniques is applied to the analysis of thermodynamic v"}
{"subject": "math:arxiv_21091", "predicate": "proves", "object": "a nonlocal derivative nonlinear schrdinger equation is introduced . by constructing its basic darbou"}
{"subject": "math:arxiv_21097", "predicate": "proves", "object": "we consider statistical mechanical properties of the primitive chain network ( pcn ) model for entan"}
{"subject": "math:arxiv_21111", "predicate": "proves", "object": "we report on high - field magnetic properties of the silver vanadium phosphate ag@xmath0vop@xmath0o@"}
{"subject": "math:arxiv_21156", "predicate": "proves", "object": "we study the phase behavior of diblock copolymers in presence of an external electric field . \n we e"}
{"subject": "math:arxiv_21169", "predicate": "proves", "object": "the corrections to the gravitational potential due to a sol extra dimensional compact manifold , den"}
{"subject": "math:arxiv_21186", "predicate": "proves", "object": "we consider a linear analytic ordinary differential equation with complex time having a nonresonant "}
{"subject": "math:arxiv_21197", "predicate": "proves", "object": "we derive a formula for the index of a dirac operator on an incomplete edge space satisfying a `` ge"}
{"subject": "math:arxiv_21217", "predicate": "proves", "object": "we consider quantum excitation energy transport ( eet ) in a network of two - state nodes in the mar"}
{"subject": "math:arxiv_21251", "predicate": "proves", "object": "an analytic theory of electron transport in disordered graphene in a ballistic geometry is developed"}
{"subject": "math:arxiv_21252", "predicate": "proves", "object": "the stability problem of the rotation induced electrostatic wave in extragalactic jets is presented "}
{"subject": "math:arxiv_21255", "predicate": "proves", "object": "inspired on the continued - fraction technique to solve the classical fokker \n planck equation , we "}
{"subject": "math:arxiv_21278", "predicate": "proves", "object": "dissipative axisymmetric pulsar magnetosphere is calculated by a direct numerical simulation of the "}
{"subject": "math:arxiv_21306", "predicate": "proves", "object": "in this paper we introduce `` hybrid '' max 2-cspformulas consisting of `` simple clauses '' , namel"}
{"subject": "math:arxiv_21322", "predicate": "proves", "object": "systems described by an @xmath0 symmetrical @xmath1 hamiltonian are considered in a @xmath2-dimensio"}
{"subject": "math:arxiv_21324", "predicate": "proves", "object": "we prove that entire bounded monotone solutions to fully nonlinear equations in @xmath0 of the form "}
{"subject": "math:arxiv_21339", "predicate": "proves", "object": "an analysis of single - electron orbits in combined coaxial wiggler and axial guide magnetic fields "}
{"subject": "math:arxiv_21359", "predicate": "proves", "object": "based on the reported data until 18 march 2015 and numerical fitting via a simple formula of cumulat"}
{"subject": "math:arxiv_21363", "predicate": "proves", "object": "we investigate the vortex bound states both schrodinger and dirac hamiltonian with the s - wave supe"}
{"subject": "math:arxiv_21385", "predicate": "proves", "object": "through an ansatz specifying the azimuthal - angle dependence of the solution , the static field equ"}
{"subject": "math:arxiv_21402", "predicate": "proves", "object": "this paper presents a first study of the pseudoscalar meson masses to two loops , or nnlo , within t"}
{"subject": "math:arxiv_21405", "predicate": "proves", "object": "we analyze the influence of sterile neutrinos with the masses in the mev range on the primordial abu"}
{"subject": "math:arxiv_21420", "predicate": "proves", "object": "the one dimensional wave equation serves as a basic model for imaging modalities such as seismic whi"}
{"subject": "math:arxiv_21423", "predicate": "proves", "object": "we solve the dynamical gr equations for the spherically symmetric evolution of compact stars in the "}
{"subject": "math:arxiv_21424", "predicate": "proves", "object": "the use of slater - type spinor orbitals in algebraic solution of the dirac equation is investigated"}
{"subject": "math:arxiv_21435", "predicate": "proves", "object": "in this paper , we give a polynomial lower bound for the resonances of @xmath0 perturbed by an obsta"}
{"subject": "math:arxiv_21447", "predicate": "proves", "object": "a linear - response formulation of the dc spin pumping , i.e. , a spin injection from a precessing f"}
{"subject": "math:arxiv_21449", "predicate": "proves", "object": "we analyze transitions between quantum hall ground states at prominent filling factors @xmath0 in th"}
{"subject": "math:arxiv_21465", "predicate": "proves", "object": "a nonlinear fokker - planck equation is obtained in the continuous limit of a one - dimensional latt"}
{"subject": "math:arxiv_21468", "predicate": "proves", "object": "we propose new numerical schemes for decoupled forward - backward stochastic differential equations "}
{"subject": "math:arxiv_21473", "predicate": "proves", "object": "we study the rationality of the artin - mazur zeta function of a dynamical system defined by a polyn"}
{"subject": "math:arxiv_21477", "predicate": "proves", "object": "information metrics give lower bounds for the estimation of parameters . \n the cencov - morozova - p"}
{"subject": "math:arxiv_21517", "predicate": "proves", "object": "the structural and magnetic properties of a new series of iridium - based honeycomb lattices with th"}
{"subject": "math:arxiv_21526", "predicate": "proves", "object": "we derive a general wkb energy splitting formula in a double - well potential by incorporating both "}
{"subject": "math:arxiv_21536", "predicate": "proves", "object": "a parallel implementation of the balancing domain decomposition by constraints ( bddc ) method is de"}
{"subject": "math:arxiv_21540", "predicate": "proves", "object": "let @xmath0 be a semisimple lie algebra and @xmath1 . in this article \n , we relate the jordan decom"}
{"subject": "math:arxiv_21547", "predicate": "proves", "object": "a fourth - order runge - kutta in the interaction picture ( rk4ip ) method is presented for solving "}
{"subject": "math:arxiv_21572", "predicate": "proves", "object": "we study how the propagation speed of interfaces in the allen - cahn phase field model for phase tra"}
{"subject": "math:arxiv_21598", "predicate": "proves", "object": "the paraxial approximation to the scalar helmholtz equation is shown to be equivalent to the schrdin"}
{"subject": "math:arxiv_21600", "predicate": "proves", "object": "in a covariant bethe - salpeter - equation approach and with a rainbow - ladder truncated model of q"}
{"subject": "math:arxiv_21606", "predicate": "proves", "object": "we define a @xmath0-theoretic analogue of fomin s dual graded graphs , which we call dual filtered g"}
{"subject": "math:arxiv_21631", "predicate": "proves", "object": "the bianchi type iii dark energy models with constant deceleration parameter is investigated . \n the"}
{"subject": "math:arxiv_21644", "predicate": "proves", "object": "we study a large class of models of two - dimensional quantum lattice systems with continuous symmet"}
{"subject": "math:arxiv_21655", "predicate": "proves", "object": "a unified semi - classical treatment of bragg scattering from bose - einstein condensates is present"}
{"subject": "math:arxiv_21674", "predicate": "proves", "object": "in this paper we show how a natural coupling of the dirac equation with the generalized jang equatio"}
{"subject": "math:arxiv_21679", "predicate": "proves", "object": "a generalizing formulation of dynamical real - space renormalization that suits for arbitrary spin s"}
{"subject": "math:arxiv_21680", "predicate": "proves", "object": "we theoretically explore key concepts of two - dimensional turbulence in a homogeneous compressible "}
{"subject": "math:arxiv_21692", "predicate": "proves", "object": "we provide a quantum field theory derivation of lifshitz formula for the casimir force due to a fluc"}
{"subject": "math:arxiv_21715", "predicate": "proves", "object": "the gravitation equations of the general relativity , written for riemannian space - time geometry ,"}
{"subject": "math:arxiv_21725", "predicate": "proves", "object": "we formulate a bulk spectroscopic method for direct measurement of the topological invariant of nond"}
{"subject": "math:arxiv_21732", "predicate": "proves", "object": "axisymmetric stellar wind solutions are presented , obtained by numerically solving the ideal magnet"}
{"subject": "math:arxiv_21735", "predicate": "proves", "object": "the single - freeze - out model with parametrized hypersurface and flow geometry is employed to anal"}
{"subject": "math:arxiv_21747", "predicate": "proves", "object": "a stability criterion is derived for self - similar solutions with perfect fluids which obey the equ"}
{"subject": "math:arxiv_21750", "predicate": "proves", "object": "we compute the equivariant @xmath0-theory @xmath1 for a simply connected lie group @xmath2 ( acting "}
{"subject": "math:arxiv_21757", "predicate": "proves", "object": "strong coupling of molecular vibrations to an infrared cavity mode affects their nature by creating "}
{"subject": "math:arxiv_21758", "predicate": "proves", "object": "the winding of a single polymer in thermal equilibrium around a repulsive cylindrical obstacle is pe"}
{"subject": "math:arxiv_21781", "predicate": "proves", "object": "let @xmath0 be an affine lie algebra , and let @xmath1 be the quantum affine algebra introduced by d"}
{"subject": "math:arxiv_21810", "predicate": "proves", "object": "the applicability conditions of a recently reported central limit theorem - based approximation meth"}
{"subject": "math:arxiv_21811", "predicate": "proves", "object": "in a two - user channel , completion time refers to the number of channel uses spent by each user to"}
{"subject": "math:arxiv_21814", "predicate": "proves", "object": "for a compact connected 3-submanifold with connected boundary in the 3-sphere , we relate the existe"}
{"subject": "math:arxiv_21819", "predicate": "proves", "object": "peculiarity of the kondo effect in ce@xmath0la@xmath1b@xmath2 is investigated on the basis of the sc"}
{"subject": "math:arxiv_21826", "predicate": "proves", "object": "we find that the modified sine \n gordon equation belonging to the class of the soliton equations des"}
{"subject": "math:arxiv_21831", "predicate": "proves", "object": "we investigate the two dimensional lattice gross  neveu model in large flavor number limit using the"}
{"subject": "math:arxiv_21853", "predicate": "proves", "object": "single - particle resonant - states in the continuum are determined by solving scattering states of "}
{"subject": "math:arxiv_21874", "predicate": "proves", "object": "we propose and compare goal - oriented projection based model order reduction methods for the estima"}
{"subject": "math:arxiv_21877", "predicate": "proves", "object": "starting from hyperbolic dispersion relations , we derive a closed system of roy  steiner equations "}
{"subject": "math:arxiv_21879", "predicate": "proves", "object": "we investigate the difficulties that students in calculus - based introductory physics courses have "}
{"subject": "math:arxiv_21884", "predicate": "proves", "object": "we investigate focus points of the renormalization group equations of the minimal supersymmetric sta"}
{"subject": "math:arxiv_21888", "predicate": "proves", "object": "we adapt a finite difference method of solution of the two - dimensional massless dirac equation , d"}
{"subject": "math:arxiv_21903", "predicate": "proves", "object": "the cpt anomaly of certain chiral gauge theories has been established previously for flat multiply c"}
{"subject": "math:arxiv_21913", "predicate": "proves", "object": "a self - consistent theory involving maxwell equations and a density - matrix linear - response theo"}
{"subject": "math:arxiv_21927", "predicate": "proves", "object": "the schrdinger equation for the manning - rosen potential with the centrifugal term is solved approx"}
{"subject": "math:arxiv_21933", "predicate": "proves", "object": "in the reversible schrdinger - newton equation a complex newton coupling @xmath0 is proposed in plac"}
{"subject": "math:arxiv_21942", "predicate": "proves", "object": "we show that starting from the heisenberg equations of motion for bose annihilation and creation ope"}
{"subject": "math:arxiv_21955", "predicate": "proves", "object": "the local analytic classification of irregular linear @xmath0-difference equations has recently been"}
{"subject": "math:arxiv_21968", "predicate": "proves", "object": "given integers @xmath0 , @xmath1 , @xmath2 , and @xmath3 , we construct a manifold @xmath4 containin"}
{"subject": "math:arxiv_21977", "predicate": "proves", "object": "we give an elementary and rigorous proof of the thomae type formula for the singular curves @xmath0 "}
{"subject": "math:arxiv_21979", "predicate": "proves", "object": "we present an approximation scheme for calculating observables and strength functions of finite ferm"}
{"subject": "math:arxiv_22001", "predicate": "proves", "object": "we describe a new interactive database ( grdb ) of geometric objects in the general area of differen"}
{"subject": "math:arxiv_22004", "predicate": "proves", "object": "we use toponogov s triangle comparison theorem from riemannian geometry along with quantitative scal"}
{"subject": "math:arxiv_22012", "predicate": "proves", "object": "the possible existence of four - neutron resonances close to the physical energy region is explored "}
{"subject": "math:arxiv_22013", "predicate": "proves", "object": "we re - formulate the @xmath0 grmhd equations for the schwarzschild black hole in a veselago medium "}
{"subject": "math:arxiv_22035", "predicate": "proves", "object": "we will simplify earlier proofs of perelman s collapsing theorem for @xmath0-manifolds given by shio"}
{"subject": "math:arxiv_22045", "predicate": "proves", "object": "analyzing the heat and charge transport in a thermoelectric by transport equations , and assuming a "}
{"subject": "math:arxiv_22057", "predicate": "proves", "object": "we consider the maldacena conjecture applied to the near horizon geometry of a d1-brane in the super"}
{"subject": "math:arxiv_22060", "predicate": "proves", "object": "given a stabilized heegaard splitting of a @xmath0-manifold , the primitive disk complex for the spl"}
{"subject": "math:arxiv_22066", "predicate": "proves", "object": "we extend our earlier work in [ tz1 ] , where an analytic approach to the guillemin - sternberg conj"}
{"subject": "math:arxiv_22069", "predicate": "proves", "object": "we study a class of degenerate convection diffusion equations with a fractional non - linear diffusi"}
{"subject": "math:arxiv_22077", "predicate": "proves", "object": "we derive the higher dimensional generalization of penrose  tod equation describing past horizon in "}
{"subject": "math:arxiv_22080", "predicate": "proves", "object": "based on the @xmath0-mapping theory , we obtain an exact bogomolnyi self - dual equation with a topo"}
{"subject": "math:arxiv_22082", "predicate": "proves", "object": "the lie and module ( rinehart ) algebraic structure of vector fields of compact support over @xmath0"}
{"subject": "math:arxiv_22093", "predicate": "proves", "object": "in this paper we study the asymptotic behavior ( in the sense of meromorphic functions ) of the zeta"}
{"subject": "math:arxiv_22101", "predicate": "proves", "object": "we analyse the normalisable zero - modes of the dirac operator on the taub - nut manifold coupled to"}
{"subject": "math:arxiv_22115", "predicate": "proves", "object": "in a recent paper we presented a new ultra efficient numerical method for solving kinetic equations "}
{"subject": "math:arxiv_22126", "predicate": "proves", "object": "two theorems are proved concerning how stationary axisymmetric electrovac spacetimes that are equato"}
{"subject": "math:arxiv_22139", "predicate": "proves", "object": "in this work we design and analyze a free energy satisfying finite difference method for solving poi"}
{"subject": "math:arxiv_22150", "predicate": "proves", "object": "we study the influence of converging cooling flow bulk motions on the sunyaev - zeldovich ( sz ) eff"}
{"subject": "math:arxiv_22159", "predicate": "proves", "object": "we suggest a path integral formulation for the tunneling cosmological state , which admits a consist"}
{"subject": "math:arxiv_22191", "predicate": "proves", "object": "we study the ground - state properties and excitation spectrum of the lieb - liniger model of one - "}
{"subject": "math:arxiv_22206", "predicate": "proves", "object": "a new model of the pulsar force - free magnetosphere is suggested , which includes the presence of t"}
{"subject": "math:arxiv_22209", "predicate": "proves", "object": "we describe the rank @xmath0 temperley - lieb - martin algebras in terms of kuperberg s @xmath1-webs"}
{"subject": "math:arxiv_22223", "predicate": "proves", "object": "in this paper we show how the abstract behaviours of higher - order systems can be modelled as _ fin"}
{"subject": "math:arxiv_22240", "predicate": "proves", "object": "we present a new formula which models the rate of decline of supernovae ( sn ) as given by the light"}
{"subject": "math:arxiv_22275", "predicate": "proves", "object": "in this paper we solve a contact non - squeezing conjecture proposed by eliashberg , kim and poltero"}
{"subject": "math:arxiv_22297", "predicate": "proves", "object": "let @xmath0 be the maximum possible edge diameter over all @xmath1-dimensional polytopes defined by "}
{"subject": "math:arxiv_22321", "predicate": "proves", "object": "recently , the development of chiral perturbation theory has allowed the generation of rigorous low "}
{"subject": "math:arxiv_22346", "predicate": "proves", "object": "if we assume the axiom of choice , then every two cardinal numbers are comparable . in the absence o"}
{"subject": "math:arxiv_22354", "predicate": "proves", "object": "infinite dimensional hamiltonian systems appear naturally in the rich algebraic structure of symplec"}
{"subject": "math:arxiv_22356", "predicate": "proves", "object": "we investigate validity of anderson s theorem ( at ) for disordered s - wave superconductors in a ne"}
{"subject": "math:arxiv_22388", "predicate": "proves", "object": "the path integral by which quantum field theories are defined is a particular solution of a set of f"}
{"subject": "math:arxiv_22391", "predicate": "proves", "object": "we investigate quantum photovoltaic effect in double quantum dots by applying nonequilibrium quantum"}
{"subject": "math:arxiv_22393", "predicate": "proves", "object": "we consider a family of compact , oriented and connected @xmath0-dimensional manifolds @xmath1 shrin"}
{"subject": "math:arxiv_22416", "predicate": "proves", "object": "we conjecture that certain patterns ( scars ) , theoretically and numerically predicted to be formed"}
{"subject": "math:arxiv_22425", "predicate": "proves", "object": "an algebraic @xmath0 shell model is introduced to achieve a deeper understanding and interpretation "}
{"subject": "math:arxiv_22426", "predicate": "proves", "object": "optical data is encoded with information on the microscopic interaction between charge carriers . fo"}
{"subject": "math:arxiv_22436", "predicate": "proves", "object": "let @xmath0 be a manifold equipped with a complete riemannian metric of constant negative curvature "}
{"subject": "math:arxiv_22439", "predicate": "proves", "object": "the homogeneous lippmann - schwinger integral equation is solved in momentum space to calculate the "}
{"subject": "math:arxiv_22448", "predicate": "proves", "object": "the conductance of a tunnel point - contact in an stm - like geometry having a single defect placed "}
{"subject": "math:arxiv_22459", "predicate": "proves", "object": "we study the inflation process of universe based on the renormalizable quantum gravity formulated as"}
{"subject": "math:arxiv_22466", "predicate": "proves", "object": "the recursive relation for the 1-point conformal block on a torus is derived and used to prove the i"}
{"subject": "math:arxiv_22488", "predicate": "proves", "object": "we present an elementary method to obtain the equations of the shallow - water solitary waves in dif"}
{"subject": "math:arxiv_22499", "predicate": "proves", "object": "in this article we consider the approximation of expectations w.r.t . \n probability distributions as"}
{"subject": "math:arxiv_22500", "predicate": "proves", "object": "we study serre duality in the singularity category of an isolated gorenstein singularity and find an"}
{"subject": "math:arxiv_22501", "predicate": "proves", "object": "we give a complete classification of analytic equivalence of germs of parametric families of systems"}
{"subject": "math:arxiv_22526", "predicate": "proves", "object": "the swing lemma , due to g.  grtzer for slim semimodular lattices and extended by g.  czdli and g.  "}
{"subject": "math:arxiv_22573", "predicate": "proves", "object": "we consider a model of a quenched disordered geometry in which a random metric is defined on @xmath0"}
{"subject": "math:arxiv_22578", "predicate": "proves", "object": "we study the stability of a collisionless , relativistic , finite - strength , cylindrical layer of "}
{"subject": "math:arxiv_22583", "predicate": "proves", "object": "an exact solution of the einstein field equations given the barotropic equation of state @xmath0 yie"}
{"subject": "math:arxiv_22597", "predicate": "proves", "object": "two proof - of - principle experiments towards @xmath0-limited magnetic resonance imaging with nv ce"}
{"subject": "math:arxiv_22611", "predicate": "proves", "object": "the black hole information paradox is a very poorly understood problem . \n it is often believed that"}
{"subject": "math:arxiv_22624", "predicate": "proves", "object": "in this article we study lefschetz fibration structures on knot surgery @xmath0-manifolds obtained f"}
{"subject": "math:arxiv_22629", "predicate": "proves", "object": "the stability and collapse of fundamental unstaggered bright solitons in the discrete schrdinger equ"}
{"subject": "math:arxiv_22645", "predicate": "proves", "object": "magnetic and magnetocaloric properties of geometrically frustrated antiferromagnetic ising ( ia ) an"}
{"subject": "math:arxiv_22661", "predicate": "proves", "object": "it is shown here that the zero mode of any form field can be trapped to the brane using the model pr"}
{"subject": "math:arxiv_22666", "predicate": "proves", "object": "we show that thin sheets under boundary confinement spontaneously generate a universal self - simila"}
{"subject": "math:arxiv_22691", "predicate": "proves", "object": "we construct the nuclear and quark matter equations of state at zero temperature in an effective qua"}
{"subject": "math:arxiv_22700", "predicate": "proves", "object": "inspired by the duality picture between superconductivity ( sc ) and insulator in two spatial dimens"}
{"subject": "math:arxiv_22709", "predicate": "proves", "object": "based on functional analysis , we propose an algorithm for finite - norm solutions of higher - order"}
{"subject": "math:arxiv_22714", "predicate": "proves", "object": "we study quantum resonance behavior of the infinite - range kinetic ising model at zero temperature "}
{"subject": "math:arxiv_22719", "predicate": "proves", "object": "a standard approach to computing expectations with respect to a given target measure is to introduce"}
{"subject": "math:arxiv_22736", "predicate": "proves", "object": "to reveal how nonequilibrium physics and relativity theory intertwine , this articles studies relati"}
{"subject": "math:arxiv_22741", "predicate": "proves", "object": "using the @xmath0 model as an effective tool , the effects of self - consistency are studied in some"}
{"subject": "math:arxiv_22744", "predicate": "proves", "object": "we consider the following problem : find a fixed - order linear controller that maximizes the closed"}
{"subject": "math:arxiv_22750", "predicate": "proves", "object": "we investigate the properties of the collision operator @xmath0 associated to the linear boltzmann e"}
{"subject": "math:arxiv_22768", "predicate": "proves", "object": "a novel method for calculating resonances in three - body coulombic systems is presented . \n the fad"}
{"subject": "math:arxiv_22781", "predicate": "proves", "object": "we reformulate the calculation of the dark matter - nucleon scattering cross sections based on the m"}
{"subject": "math:arxiv_22857", "predicate": "proves", "object": "we consider pairing in a dilute system of fermions with a short - range interaction . \n while the th"}
{"subject": "math:arxiv_22872", "predicate": "proves", "object": "this paper is concerned with the numerical solution of the _ unified _ first order hyperbolic formul"}
{"subject": "math:arxiv_22880", "predicate": "proves", "object": "we outline the proof that non - triangulable manifolds exist in any dimension greater than four . \n "}
{"subject": "math:arxiv_22904", "predicate": "proves", "object": "in this paper we develop the _ continuous averaging _ method of treschev to work on the simultaneous"}
{"subject": "math:arxiv_22906", "predicate": "proves", "object": "we study some properties of quadrilaterals concerning concurrence of lines under few to none restric"}
{"subject": "math:arxiv_22907", "predicate": "proves", "object": "we integrate the mhd ideal equations of a slender flux tube to simulate the internal plasma dynamics"}
{"subject": "math:arxiv_22934", "predicate": "proves", "object": "there are contextual sets of multiple qubits whose commutation is parametrized thanks to the coset g"}
{"subject": "math:arxiv_22972", "predicate": "proves", "object": "a detailed comparison is carried out between two popular equations of state ( eos ) , the mihalas - "}
{"subject": "math:arxiv_22981", "predicate": "proves", "object": "a proof of bell s theorem without inequalities valid for both inequivalent classes of three - qubit "}
{"subject": "math:arxiv_22992", "predicate": "proves", "object": "a 3 + 1 decomposition of the twistor and valence-2 killing spinor equation is made using the space s"}
{"subject": "math:arxiv_22995", "predicate": "proves", "object": "a refined form of the ` folk theorem ' that a smooth action by a compact lie group can be ( canonica"}
{"subject": "math:arxiv_23018", "predicate": "proves", "object": "the quantum dot asymmetrically coupled to the external leads has been analysed theoretically by mean"}
{"subject": "math:arxiv_23038", "predicate": "proves", "object": "the relativistic amplitudes of pion photo- and electroproduction are calculated by dispersion relati"}
{"subject": "math:arxiv_23087", "predicate": "proves", "object": "we introduce a regression model for data on non - linear manifolds . \n the model describes the relat"}
{"subject": "math:arxiv_23101", "predicate": "proves", "object": "our aim is to prove that two formal power series of importance to quantum topology are gevrey . \n th"}
{"subject": "math:arxiv_23132", "predicate": "proves", "object": "a new version of the semiempirical formula based on fission approach of alpha decay is derived , by "}
{"subject": "math:arxiv_23135", "predicate": "proves", "object": "the usage of elementary submodels is a simple but powerful method to prove theorems , or to simplify"}
{"subject": "math:arxiv_23149", "predicate": "proves", "object": "the neutrino flavor oscillation is studied in some classes of alternative gravity theories in a plan"}
{"subject": "math:arxiv_23167", "predicate": "proves", "object": "the dynamics of the soliton in a self - attractive bose - einstein condensate under the gravity are "}
{"subject": "math:arxiv_23169", "predicate": "proves", "object": "we investigate constraints on embeddings of a non - orientable surface in a @xmath0-manifold with th"}
{"subject": "math:arxiv_23181", "predicate": "proves", "object": "the time - dependent dirac equation is solved using the three - dimensional finite difference - time"}
{"subject": "math:arxiv_23192", "predicate": "proves", "object": "we numerically implement the reactive flux formalism on the basis of a recently proposed c - number "}
{"subject": "math:arxiv_23204", "predicate": "proves", "object": "using the landauer formula and a random matrix model , we investigate the autocorrelation function o"}
{"subject": "math:arxiv_23220", "predicate": "proves", "object": "we present two different representations of @xmath0-knots and study some connections between them . "}
{"subject": "math:arxiv_23229", "predicate": "proves", "object": "a recently formulated framework of highly - anisotropic and strongly - dissipative hydrodynamics ( a"}
{"subject": "math:arxiv_23243", "predicate": "proves", "object": "i discuss three - dimensional sph simulations of neutron star black hole ( bh ) encounters . \n the c"}
{"subject": "math:arxiv_23249", "predicate": "proves", "object": "in this article , we describe an approach for solving partial differential equations with general bo"}
{"subject": "math:arxiv_23252", "predicate": "proves", "object": "a self - contained description of algebraic structures , obtained by combinations of various limit p"}
{"subject": "math:arxiv_23254", "predicate": "proves", "object": "allan sandage returned to the distance scale and the calibration of the hubble constant again and ag"}
{"subject": "math:arxiv_23269", "predicate": "proves", "object": "we discuss the canonical quantization of systems formulated on discrete space - times . \n we start b"}
{"subject": "math:arxiv_23302", "predicate": "proves", "object": "we consider three methods by which one can generate new cosmological models . \n two of these are bas"}
{"subject": "math:arxiv_23330", "predicate": "proves", "object": "we present a numerical study of the cubic - quintic nonlinear schrdinger equation in two transverse "}
{"subject": "math:arxiv_23364", "predicate": "proves", "object": "we investigate the regulators of elliptic curves with rank 1 in some families of quadratic twists of"}
{"subject": "math:arxiv_23377", "predicate": "proves", "object": "darcy s law and the brinkman equation are two main models used for creeping fluid flows inside movin"}
{"subject": "math:arxiv_23386", "predicate": "proves", "object": "the paper investigates relationship between algebraic expressions and graphs . \n we consider a digra"}
{"subject": "math:arxiv_23389", "predicate": "proves", "object": "a number of many - body problems can be formulated using hamiltonians that are quadratic in the crea"}
{"subject": "math:arxiv_23408", "predicate": "proves", "object": "we analyse the topology of the state space of two systems : _ \n i ) _ @xmath0 ising spins @xmath1 wi"}
{"subject": "math:arxiv_23414", "predicate": "proves", "object": "geometric phases of scattering states in a ring geometry are studied based on a variant of the adiab"}
{"subject": "math:arxiv_23420", "predicate": "proves", "object": "recursively compressed inverse preconditioning ( rcip ) is a numerical method for obtaining highly a"}
{"subject": "math:arxiv_23425", "predicate": "proves", "object": "in this paper , we introduce linear logic with a nondeterministic facility , which has a self - dual"}
{"subject": "math:arxiv_23443", "predicate": "proves", "object": "the fine structure of hydrogen energy was calculated by using the usual momentum - wavefunction rela"}
{"subject": "math:arxiv_23459", "predicate": "proves", "object": "the three - dimensional potential equation , motivated by representations of quantum mechanics , is "}
{"subject": "math:arxiv_23462", "predicate": "proves", "object": "we consider asymptotic behaviour of a hadamard walk on a cycle . for a walk which starts with a stat"}
{"subject": "math:arxiv_23478", "predicate": "proves", "object": "abstract    the configuration manifold @xmath0 of a mechanical system consisting of two unconstraine"}
{"subject": "math:arxiv_23481", "predicate": "proves", "object": "it is shown that the decomposition theorems of york , stewart and walker for symmetric spatial secon"}
{"subject": "math:arxiv_23533", "predicate": "proves", "object": "the equations of motion of a single particle subject to an arbitrary electric and a static magnetic "}
{"subject": "math:arxiv_23542", "predicate": "proves", "object": "we present the experimental test of a method for controlling the absolute length of the diagonals of"}
{"subject": "math:arxiv_23546", "predicate": "proves", "object": "we present a mathematical formalism describing the propagation of a completely general electromagnet"}
{"subject": "math:arxiv_23557", "predicate": "proves", "object": "we study how the neutron - star equation of state affects the onset of the dynamical instability in "}
{"subject": "math:arxiv_23572", "predicate": "proves", "object": "we formulate a time - dependent density - matrix functional theory ( tddmft ) approach for higher - "}
{"subject": "math:arxiv_23573", "predicate": "proves", "object": "recently , we have derived an effective cahn - hilliard equation for the phase separation dynamics o"}
{"subject": "math:arxiv_23576", "predicate": "proves", "object": "in a recent paper a set of differential equations was proposed to describe a social process , where "}
{"subject": "math:arxiv_23608", "predicate": "proves", "object": "i present some simple exactly solvable models of spin diffusion caused by synchrotron radiation nois"}
{"subject": "math:arxiv_23619", "predicate": "proves", "object": "we investigate the equation of state of asymmetric nuclear matter and its isospin dependence in vari"}
{"subject": "math:arxiv_23630", "predicate": "proves", "object": "the standard approach ( sa ) for description of the structure function @xmath0 combines the dglap ev"}
{"subject": "math:arxiv_23642", "predicate": "proves", "object": "a theory of vibrational energy relaxation based on a semiclassical treatment of the quantum master e"}
{"subject": "math:arxiv_23659", "predicate": "proves", "object": "in our setting enumeration amounts to generate all solutions of a problem instance without duplicate"}
{"subject": "math:arxiv_23676", "predicate": "proves", "object": "we construct two new one - parameter families of monotonicity formulas to study the free boundary po"}
{"subject": "math:arxiv_23695", "predicate": "proves", "object": "a general model for opinion formation and competition , like in ideological struggles is formulated "}
{"subject": "math:arxiv_23698", "predicate": "proves", "object": "the scattering of @xmath0 is studied using the axial anomaly , elastic unitarity , analyticity and c"}
{"subject": "math:arxiv_23699", "predicate": "proves", "object": "we define a new sample of 96 low - redshift ( @xmath0 ) , soft x - ray selected seyferts from the ca"}
{"subject": "math:arxiv_23700", "predicate": "proves", "object": "we present a new class of elliptic - like strings on two - dimensional manifolds of constant curvatu"}
{"subject": "math:arxiv_23713", "predicate": "proves", "object": "we provide a formulation for local support vector machines ( lsvms ) that generalizes previous formu"}
{"subject": "math:arxiv_23732", "predicate": "proves", "object": "we study the impact of quantum gravity , formulated as a quantum field theory of the metric , on chi"}
{"subject": "math:arxiv_23747", "predicate": "proves", "object": "the purpose of this paper is to show how central extensions of ( possibly infinite - dimensional ) l"}
{"subject": "math:arxiv_23757", "predicate": "proves", "object": "we address the self - similar solvability of a singular parabolic problem and show that solutions to"}
{"subject": "math:arxiv_23782", "predicate": "proves", "object": "spectral methods have proven to be a highly effective tool in understanding the intrinsic geometry o"}
{"subject": "math:arxiv_23786", "predicate": "proves", "object": "persistent currents in bose condensates with a scalar order parameter are stabilized by the topology"}
{"subject": "math:arxiv_23794", "predicate": "proves", "object": "we show that there are contact @xmath0manifolds of support genus one which admit infinitely many ste"}
{"subject": "math:arxiv_23819", "predicate": "proves", "object": "a class of exact solutions of the einstein - maxwell equations is presented which contains infinite "}
{"subject": "math:arxiv_23821", "predicate": "proves", "object": "globally conserved phase ordering dynamics is investigated in systems with short range correlations "}
{"subject": "math:arxiv_23831", "predicate": "proves", "object": "we use a continued fraction expansion of the sign - function in order to obtain a five dimensional f"}
{"subject": "math:arxiv_23832", "predicate": "proves", "object": "radiation symmetry is briefly reviewed , along with its historical , experimental , computational , "}
{"subject": "math:arxiv_23853", "predicate": "proves", "object": "we prove that the kontsevich integrals ( in the sense of the formality theorem @xcite ) of all even "}
{"subject": "math:arxiv_23877", "predicate": "proves", "object": "according to a theorem of poincar , the solutions to differential equations are analytic functions o"}
{"subject": "math:arxiv_23885", "predicate": "proves", "object": "we propose a synthesis of the two proof styles of interactive theorem proving : the procedural style"}
{"subject": "math:arxiv_23901", "predicate": "proves", "object": "quasiparticle approach to dynamics of dark solitons is applied to the case of ring solitons . \n it i"}
{"subject": "math:arxiv_23902", "predicate": "proves", "object": "for the mathematical modeling of highly non - equilibrium and nonlinear processes in a tornado in th"}
{"subject": "math:arxiv_23923", "predicate": "proves", "object": "i present a simplified model for the gluon green s function governing high - energy qcd dynamics , i"}
{"subject": "math:arxiv_23945", "predicate": "proves", "object": "we give three short proofs of the makeenko \n migdal equation for the yang \n mills measure on the pla"}
{"subject": "math:arxiv_23959", "predicate": "proves", "object": "we describe the analogue of the sato - tate conjecture for an abelian variety over a number field ; "}
{"subject": "math:arxiv_23964", "predicate": "proves", "object": "we solve ccfm evolution equation numerically using the cohrad program based on monte carlo methods ."}
{"subject": "math:arxiv_23966", "predicate": "proves", "object": "we summarize our recent study @xcite of the fermion spectrum in a fermion - scalar 2d model with a c"}
{"subject": "math:arxiv_23978", "predicate": "proves", "object": "as is widely recognized in lyapunov analysis , linearized hamilton s equations of motion have two ma"}
{"subject": "math:arxiv_23980", "predicate": "proves", "object": "we investigate theoretically , the character of electronic eigenstates and transmission properties o"}
{"subject": "math:arxiv_23995", "predicate": "proves", "object": "the usefulness of riemann p - symbols in deriving identities involving the parametrized special func"}
{"subject": "math:arxiv_24012", "predicate": "proves", "object": "effects of microwave radiation on magnetoresistance are analyzed in a balance - equation scheme that"}
{"subject": "math:arxiv_24016", "predicate": "proves", "object": "boson - fermion pair correlations in a mixture are considered at zero temperature in the @xmath0-mat"}
{"subject": "math:arxiv_24017", "predicate": "proves", "object": "we consider the casimir effect of a massive vector field between two semi - infinite dielectric slab"}
{"subject": "math:arxiv_24024", "predicate": "proves", "object": "the anomalous proximity effect between a @xmath0-wave superconductor and a surface layer with small "}
{"subject": "math:arxiv_24039", "predicate": "proves", "object": "a _ metric space _ is a mathematical notion that includes classical euclidean geometry and a variety"}
{"subject": "math:arxiv_24055", "predicate": "proves", "object": "an equation is derived to calculate the dynamics of relativistic magnetized plasma which decelerates"}
{"subject": "math:arxiv_24067", "predicate": "proves", "object": "we define new topological theories related to sigma models whose target space is a 7 dimensional man"}
{"subject": "math:arxiv_24071", "predicate": "proves", "object": "let @xmath0 be a knot in @xmath1-bridge position with respect to a genus-@xmath2 heegaard surface th"}
{"subject": "math:arxiv_24082", "predicate": "proves", "object": "the measurement of the efficiency of some event selection is always an important part of the analysi"}
{"subject": "math:arxiv_24099", "predicate": "proves", "object": "for a closed riemannian manifold @xmath0 of constant positive scalar curvature and any other closed "}
{"subject": "math:arxiv_24111", "predicate": "proves", "object": "we propose an analysis of the time - optimal control of a dissipative two - level quantum system who"}
{"subject": "math:arxiv_24116", "predicate": "proves", "object": "an ultrametric topology formalizes the notion of hierarchical structure . \n an ultrametric embedding"}
{"subject": "math:arxiv_24118", "predicate": "proves", "object": "we generalise work of young - eun choi to the setting of ideal triangulations with vertex links of a"}
{"subject": "math:arxiv_24125", "predicate": "proves", "object": "the complete sets of analytic solutions of the geodesic equation in taub  nut(anti-)de sitter , kerr"}
{"subject": "math:arxiv_24128", "predicate": "proves", "object": "we present results of modelling _ ginga _ data of a number of soft x - ray transient sources perform"}
{"subject": "math:arxiv_24165", "predicate": "proves", "object": "the behavior of electrolyte solutions close to a charged surface is studied theoretically . a modifi"}
{"subject": "math:arxiv_24173", "predicate": "proves", "object": "in this paper , we present a method that enables solving in parallel the euler - lagrange system ass"}
{"subject": "math:arxiv_24174", "predicate": "proves", "object": "we present a new formulation of the theory of an arbitrary quantum impurity in an antiferromagnet , "}
{"subject": "math:arxiv_24178", "predicate": "proves", "object": "deciding realizability of a given polyhedral map on a ( compact , connected ) surface belongs to the"}
{"subject": "math:arxiv_24205", "predicate": "proves", "object": "let @xmath0 be a compact , connected , almost complex manifold of dimension @xmath1 endowed with a @"}
{"subject": "math:arxiv_24207", "predicate": "proves", "object": "we study the fractional diffusion in a gaussian noisy environment as described by the fractional ord"}
{"subject": "math:arxiv_24229", "predicate": "proves", "object": "' '' ''    within the framework of potential scattering theory we derive an analytical two - potenti"}
{"subject": "math:arxiv_24237", "predicate": "proves", "object": "we formulate holomorphic theory of gravity and study how the holomorphy symmetry alters the two most"}
{"subject": "math:arxiv_24238", "predicate": "proves", "object": "we study the asymptotic geometry of teichmller geodesic rays . we show that , when the transverse me"}
{"subject": "math:arxiv_24243", "predicate": "proves", "object": "we present results from the first @xmath0 and @xmath1 simulations of the collapse of rotating stella"}
{"subject": "math:arxiv_24252", "predicate": "proves", "object": "we investigate the upper critical field in a dirty two - band superconductor within quasiclassical u"}
{"subject": "math:arxiv_24256", "predicate": "proves", "object": "we study two related invariants of lagrangian submanifolds in symplectic manifolds . for a lagrangia"}
{"subject": "math:arxiv_24271", "predicate": "proves", "object": "we derive an effective nonpolynomial schrdinger equation ( npse ) for self - repulsive or attractive"}
{"subject": "math:arxiv_24272", "predicate": "proves", "object": "in the present paper we continue the project of systematic construction of invariant differential op"}
{"subject": "math:arxiv_24275", "predicate": "proves", "object": "snake graphs appear naturally in the theory of cluster algebras . for cluster algebras from surfaces"}
{"subject": "math:arxiv_24295", "predicate": "proves", "object": "we first established the dynamic equations to describe the noisy circling motion of a single particl"}
{"subject": "math:arxiv_24310", "predicate": "proves", "object": "the aim of this paper is to study the mannheim partner curves in three dimensional galilean space @x"}
{"subject": "math:arxiv_24321", "predicate": "proves", "object": "we study polynomial deformations of the fuzzy sphere , specifically given by the cubic or the higgs "}
{"subject": "math:arxiv_24343", "predicate": "proves", "object": "in this paper , we employ measure theory to derive from the principle of least action the equation o"}
{"subject": "math:arxiv_24346", "predicate": "proves", "object": "extending the rigorous presentation of the classical umbral calculus@xmath0 @xcite , the so - called"}
{"subject": "math:arxiv_24349", "predicate": "proves", "object": "lagrangian formulation of quantum mechanical schrdinger equation is developed in general and illustr"}
{"subject": "math:arxiv_24364", "predicate": "proves", "object": "we present a theoretical formulation for the description of nuclear excitations within the framework"}
{"subject": "math:arxiv_24365", "predicate": "proves", "object": "density functional theory calculations of the electronic structure of ce- and pu - based heavy fermi"}
{"subject": "math:arxiv_24371", "predicate": "proves", "object": "an exactly solvable @xmath0 algebraic approach extends beyond the traditional isospin conserving nuc"}
{"subject": "math:arxiv_24389", "predicate": "proves", "object": "we consider an inverse problem of determining the time - dependent lowest order coefficient of two -"}
{"subject": "math:arxiv_24412", "predicate": "proves", "object": "in this paper , a weak formulation of the discontinuous variable coefficient poisson equation with i"}
{"subject": "math:arxiv_24421", "predicate": "proves", "object": "a special asymptotic solution of the painlev-2 equation with small parameter is studied . \n this sol"}
{"subject": "math:arxiv_24430", "predicate": "proves", "object": "the @xmath0 vector model with logarithmic action on a lattice of coordination 3 is related to a gas "}
{"subject": "math:arxiv_24436", "predicate": "proves", "object": "a two - grid scheme based on mixed finite - element approximations to the incompressible navier - st"}
{"subject": "math:arxiv_24438", "predicate": "proves", "object": "we report the implementation of equation - of - motion coupled - cluster ( eomcc ) method in the fou"}
{"subject": "math:arxiv_24441", "predicate": "proves", "object": "for any finite graph @xmath0 and any field @xmath1 of characteristic unequal to @xmath2 we construct"}
{"subject": "math:arxiv_24443", "predicate": "proves", "object": "one- and two - dimensional operators which originate from the asymptotic form of the three - body co"}
{"subject": "math:arxiv_24454", "predicate": "proves", "object": "we study the decay process for the reaction - diffusion process of three species on the small - worl"}
{"subject": "math:arxiv_24485", "predicate": "proves", "object": "we use lvdsmc simulations to calculate the second - order temperature jump coefficient for a dilute "}
{"subject": "math:arxiv_24492", "predicate": "proves", "object": "the commutator length of a hamiltonian diffeomorphism @xmath0 of a closed symplectic manifold @xmath"}
{"subject": "math:arxiv_24499", "predicate": "proves", "object": "a formula is given for the propagation of errors during matrix inversion . \n an explicit calculation"}
{"subject": "math:arxiv_24502", "predicate": "proves", "object": "a computer adapted fluctuation formula for the calculation of the wavevector- and frequency - depend"}
{"subject": "math:arxiv_24509", "predicate": "proves", "object": "odd index pairings of @xmath0-group elements with fredholm modules are of relevance in index theory "}
{"subject": "math:arxiv_24517", "predicate": "proves", "object": "we give the thorough analysis for the rotation functions of the critical orbits . from this \n one ca"}
{"subject": "math:arxiv_24523", "predicate": "proves", "object": "we discuss a new analytic solution to the einstein - maxwell field equations that describes electric"}
{"subject": "math:arxiv_24530", "predicate": "proves", "object": "we consider the @xmath0 gradient flow for the willmore functional in riemannian manifolds of bounded"}
{"subject": "math:arxiv_24537", "predicate": "proves", "object": "we consider the internal dynamics of the polymer molecule which is injected in the chaotic flow with"}
{"subject": "math:arxiv_24541", "predicate": "proves", "object": "a low - dimensional model ( ldm ) for turbulent rayleigh - bnard convection in a cartesian cell with"}
{"subject": "math:arxiv_24544", "predicate": "proves", "object": "the conservation of the recently formulated relativistic canonical helicity [ yoshida z , kawazura y"}
{"subject": "math:arxiv_24545", "predicate": "proves", "object": "this is a short communication with a summary of results obtained with a model based on gribov s regg"}
{"subject": "math:arxiv_24574", "predicate": "proves", "object": "the electron states in axially symmetric quantum wires are computed by means of the effective - mass"}
{"subject": "math:arxiv_24575", "predicate": "proves", "object": "the homotopical information hidden in a supersymmetric structure is revealed by considering deformat"}
{"subject": "math:arxiv_24577", "predicate": "proves", "object": "quantum stochastic differential equations have been used to describe the dynamics of an atom interac"}
{"subject": "math:arxiv_24605", "predicate": "proves", "object": "we point out that there are solutions to the scalar wave equation on 1 + 1 dimensional minkowski spa"}
{"subject": "math:arxiv_24615", "predicate": "proves", "object": "we calculate the electron exchange coupling for a phosphorus donor pair in si perturbed by a @xmath0"}
{"subject": "math:arxiv_24624", "predicate": "proves", "object": "we introduce a technique to solve numerically the relativistic euler s equations in scenarios with s"}
{"subject": "math:arxiv_24630", "predicate": "proves", "object": "we use the subgraph replacement method to prove a simple product formula for the tilings of an 8-ver"}
{"subject": "math:arxiv_24633", "predicate": "proves", "object": "we consider the class of control systems where the differential equation , state and control system "}
{"subject": "math:arxiv_24691", "predicate": "proves", "object": "we formulate and prove a de finetti representation theorem for finitely exchangeable states of a qua"}
{"subject": "math:arxiv_24707", "predicate": "proves", "object": "we consider a topological insulator ( ti ) of spherical geometry and numerically investigate the inf"}
{"subject": "math:arxiv_24721", "predicate": "proves", "object": "we consider the spectral behavior of the laplace - beltrami operator associated to a class of singul"}
{"subject": "math:arxiv_24726", "predicate": "proves", "object": "the domination polynomial @xmath0 of a graph @xmath1 is the generating function of its dominating se"}
{"subject": "math:arxiv_24732", "predicate": "proves", "object": "the equation of state for a two - dimensional hard - sphere gas is difficult to calculate by usual m"}
{"subject": "math:arxiv_24738", "predicate": "proves", "object": "we prove that kitaev s lattice model for a finite - dimensional semisimple hopf algebra @xmath0 is e"}
{"subject": "math:arxiv_24756", "predicate": "proves", "object": "in this paper we extend the hierarchical model reduction framework based on reduced basis techniques"}
{"subject": "math:arxiv_24772", "predicate": "proves", "object": "we develop a deterministic ab - initio model for the input - output relationship of a multiple - inp"}
{"subject": "math:arxiv_24797", "predicate": "proves", "object": "to predict the heat diffusion in a given region over time , it is often necessary to find the numeri"}
{"subject": "math:arxiv_24813", "predicate": "proves", "object": "a ginzburg - landau type equation with nonlocal coupling is derived systematically as a reduced form"}
{"subject": "math:arxiv_24823", "predicate": "proves", "object": "we reconsider h@xmath0  formation on grain surfaces . \n we develop a rate equation model which takes"}
{"subject": "math:arxiv_24826", "predicate": "proves", "object": "this article is an application of the author s paper @xcite about a construction method for discrete"}
{"subject": "math:arxiv_24835", "predicate": "proves", "object": "this article studies codimension one foliations on projective manifolds having a compact leaf ( free"}
{"subject": "math:arxiv_24850", "predicate": "proves", "object": "absorbing boundary conditions in the form of a complex absorbing potential are routinely introduced "}
{"subject": "math:arxiv_24858", "predicate": "proves", "object": "we investigate , using the spherical jeans equation , self - gravitating dynamical equilibria satisf"}
{"subject": "math:arxiv_24864", "predicate": "proves", "object": "we present a quantum master equation describing a bose - einstein condensate with particle loss on o"}
{"subject": "math:arxiv_24875", "predicate": "proves", "object": "a simple and explicit technique for the numerical solution of the two - particle , time - dependent "}
{"subject": "math:arxiv_24911", "predicate": "proves", "object": "we consider a quantum mechanical black hole model introduced in _ \n phys.rev._ , * d57 * , 1118 ( 19"}
{"subject": "math:arxiv_24917", "predicate": "proves", "object": "signed graphs are studied since the middle of the last century . recently , the notion of homomorphi"}
{"subject": "math:arxiv_24920", "predicate": "proves", "object": "a version of the dynamical systems gradient method for solving ill - posed nonlinear monotone operat"}
{"subject": "math:arxiv_24932", "predicate": "proves", "object": "we present a unification theory of angular magnetoresistance oscillations , experimentally observed "}
{"subject": "math:arxiv_24941", "predicate": "proves", "object": "we incorporate a time - independent gravitational field into the bgk scheme for numerical hydrodynam"}
{"subject": "math:arxiv_24951", "predicate": "proves", "object": "we examine the behavior of dark energy models in the plane defined by @xmath0 ( the equation of stat"}
{"subject": "math:arxiv_24960", "predicate": "proves", "object": "the bethe - salpeter equation restores exact elastic unitarity in the @xmath0 channel by summing up "}
{"subject": "math:arxiv_24968", "predicate": "proves", "object": "the pending question of the existence of three - neutron resonances near the physical energy region "}
{"subject": "math:arxiv_24976", "predicate": "proves", "object": "_ we emphasize two connections , one well known and another less known , between the dissipative non"}
{"subject": "math:arxiv_24997", "predicate": "proves", "object": "we present a general framework in which we can accurately describe the non - equilibrium dynamics of"}
{"subject": "math:arxiv_25003", "predicate": "proves", "object": "high precision asteroseismic data provide a unique opportunity to test input microphysics such as st"}
{"subject": "math:arxiv_25011", "predicate": "proves", "object": "this paper deals with the relation of the dynamic elastic cosserat rod model and the kirchhoff beam "}
{"subject": "math:arxiv_25020", "predicate": "proves", "object": "the equations of general relativity in the form of timelike and null geodesics that describe motion "}
{"subject": "math:arxiv_25021", "predicate": "proves", "object": "we investigate the spin relaxation of @xmath0-type gaas quantum wires by numerically solving the ful"}
{"subject": "math:arxiv_25046", "predicate": "proves", "object": "the so called holographic solution is a new exact solution to the einstein field equations . \n the s"}
{"subject": "math:arxiv_25078", "predicate": "proves", "object": "we illustrate recent results concerning the validity of the work fluctuation theorem in open quantum"}
{"subject": "math:arxiv_25083", "predicate": "proves", "object": "the electronic property of monolayer - bilayer hybrid graphene with a zigzag interface is studied by"}
{"subject": "math:arxiv_25093", "predicate": "proves", "object": "time - dependent transport through two capacitively coupled quantum dots is studied in the framework"}
{"subject": "math:arxiv_25101", "predicate": "proves", "object": "in view of the mass spectrum of heavy mesons in vacuum the analytical properties of the solutions of"}
{"subject": "math:arxiv_25146", "predicate": "proves", "object": "we introduce a twisted relative trace formula which simultaneously generalizes the twisted trace for"}
{"subject": "math:arxiv_25154", "predicate": "proves", "object": "the lieb - robinson theorem states that the speed at which the correlations between two distant node"}
{"subject": "math:arxiv_25168", "predicate": "proves", "object": "binarity is believed to dramatically affect the history and geometry of mass loss in agb and post - "}
{"subject": "math:arxiv_25175", "predicate": "proves", "object": "a morph between two riemannian @xmath0-manifolds is an isotopy between them together with the set of"}
{"subject": "math:arxiv_25189", "predicate": "proves", "object": "we regularize compact and non - compact abelian chern - simons - maxwell theories on a spatial latti"}
{"subject": "math:arxiv_25192", "predicate": "proves", "object": "= 0.6 cm    * abstract *    we present firstly the master equation of an electromagnetic perturbatio"}
{"subject": "math:arxiv_25197", "predicate": "proves", "object": "it is shown that the formulation of the einstein equations widely in use in numerical relativity , n"}
{"subject": "math:arxiv_25200", "predicate": "proves", "object": "this article describes the implementation in the software package numgfun of classical algorithms th"}
{"subject": "math:arxiv_25208", "predicate": "proves", "object": "the following special case of a conjecture by loehr and warrington was proved recently by ekhad , va"}
{"subject": "math:arxiv_25225", "predicate": "proves", "object": "we develop a spectrally accurate numerical method to compute solutions of a model partial differenti"}
{"subject": "math:arxiv_25261", "predicate": "proves", "object": "for quantum computation , we investigate the conjecture that superposition of macroscopically distin"}
{"subject": "math:arxiv_25267", "predicate": "proves", "object": "we present the kinematics and photometry of the stars and of the ionized gas near the centre of the "}
{"subject": "math:arxiv_25291", "predicate": "proves", "object": "a new method of modeling of the current signal induced by charged particle in silicon detectors is p"}
{"subject": "math:arxiv_25316", "predicate": "proves", "object": "we discuss the relation between the no - cloning theorem from quantum information and the doubling p"}
{"subject": "math:arxiv_25333", "predicate": "proves", "object": "we discuss the constraints on the time - varying equation of state for dark energy and the curvature"}
{"subject": "math:arxiv_25341", "predicate": "proves", "object": "we study velocity moments of elliptical galaxies in the coma cluster using jeans equations . \n the d"}
{"subject": "math:arxiv_25350", "predicate": "proves", "object": "we study the short - time dynamics of a mean - field model with non - conserved order parameter ( cu"}
{"subject": "math:arxiv_25354", "predicate": "proves", "object": "sufficient conditions for wave breaking are found for the short - pulse equation describing wave pac"}
{"subject": "math:arxiv_25360", "predicate": "proves", "object": "we show that effective interactions mediated by disorder between two directed polymers can be modell"}
{"subject": "math:arxiv_25369", "predicate": "proves", "object": "we construct the effective model based on qcd with gluon condensate . under the assumption that the "}
{"subject": "math:arxiv_25380", "predicate": "proves", "object": "we discuss the problem of parameter estimation in nonlinear stochastic differential equations based "}
{"subject": "math:arxiv_25410", "predicate": "proves", "object": "qcd lattice simulations determine hadron masses as functions of the quark masses . from the gradient"}
{"subject": "math:arxiv_25411", "predicate": "proves", "object": "the geometry of closed surfaces equipped with a euclidean metric with finitely many conical points o"}
{"subject": "math:arxiv_25419", "predicate": "proves", "object": "we survey recent work on normal functions , including limits and singularities of admissible normal "}
{"subject": "math:arxiv_25421", "predicate": "proves", "object": "continuous first - order logic has found interest among model theorists who wish to extend the class"}
{"subject": "math:arxiv_25422", "predicate": "proves", "object": "we reformulate the tomonaga  luttinger liquid theory for quasi - one - dimensional fermion systems w"}
{"subject": "math:arxiv_25424", "predicate": "proves", "object": "we prove that the @xmath0 link complement is the minimal volume orientable hyperbolic manifold with "}
{"subject": "math:arxiv_25443", "predicate": "proves", "object": "we formulate a swendsen - wang - like version of the geometric cluster algorithm . as an application"}
{"subject": "math:arxiv_25493", "predicate": "proves", "object": "we study the statistical and geometrical properties of the potential temperature ( pt ) field in the"}
{"subject": "math:arxiv_25550", "predicate": "proves", "object": "non - standard neutrino - nucleon interaction is formulated and explored within the energy range of "}
{"subject": "math:arxiv_25552", "predicate": "proves", "object": "in this paper , we investigate a numerical probabilistic method for the solution of a class of semil"}
{"subject": "math:arxiv_25554", "predicate": "proves", "object": "the knot of spin texture is studied within the two - component bose - einstein condensates which are"}
{"subject": "math:arxiv_25572", "predicate": "proves", "object": "the dynamical @xmath0 , su(2 ) super yang - mills theory is studied on the lattice using a new latti"}
{"subject": "math:arxiv_25580", "predicate": "proves", "object": "mean - motion resonances between a keplerian disc and an orbiting companion are analysed within a ha"}
{"subject": "math:arxiv_25581", "predicate": "proves", "object": "we introduce a new class of cellular automata to model reaction - diffusion systems in a quantitativ"}
{"subject": "math:arxiv_25602", "predicate": "proves", "object": "* abstract *    the transition from phase chaos to defect chaos in the complex ginzburg - landau equ"}
{"subject": "math:arxiv_25607", "predicate": "proves", "object": "we present a new semiclassical technique which relies on replacing complicated classical manifold st"}
{"subject": "math:arxiv_25610", "predicate": "proves", "object": "in 2nd order causal dissipative theory , space - time evolution of qgp fluid is studied in 2 + 1 dim"}
{"subject": "math:arxiv_25621", "predicate": "proves", "object": "we report on some recent existence and uniqueness results for elliptic equations subject to dirichle"}
{"subject": "math:arxiv_25635", "predicate": "proves", "object": "i will prove a recurrence theorem which says that any @xmath0 ( @xmath1 ) solution to the 2d invisci"}
{"subject": "math:arxiv_25642", "predicate": "proves", "object": "combinatorial sutured manifold theory is used to study the effects of attaching a 2handle to an esse"}
{"subject": "math:arxiv_25648", "predicate": "proves", "object": "it has recently been demonstrated ( class .  quantum grav .  * \n 31 * , 085010 , 2014 ) that the con"}
{"subject": "math:arxiv_25659", "predicate": "proves", "object": "we determine the uhe neutrino - nucleon cross - sections analytically both for charged and neutral c"}
{"subject": "math:arxiv_25670", "predicate": "proves", "object": "flowpy is a numerical toolbox for the solution of partial differential equations encountered in func"}
{"subject": "math:arxiv_25700", "predicate": "proves", "object": "the dynamics of a circular thin vortex ring and a sphere moving along the symmetry axis of the ring "}
{"subject": "math:arxiv_25702", "predicate": "proves", "object": "we give a new proof of mcshane s theorem @xcite , using simple equivariant methods in the hyperbolic"}
{"subject": "math:arxiv_25728", "predicate": "proves", "object": "this study is purposed to derive the equation of motion for geodesics in vicinity of spacetime of a "}
{"subject": "math:arxiv_25743", "predicate": "proves", "object": "we explore , within the framework of an algebraic @xmath0 shell model , discrete approximations to v"}
{"subject": "math:arxiv_25744", "predicate": "proves", "object": "the main result of the article is the rate of convergence to the rosenblatt - type distributions in "}
{"subject": "math:arxiv_25746", "predicate": "proves", "object": "a method is described to sum multi - dimensional arithmetic functions subject to hyperbolic summatio"}
{"subject": "math:arxiv_25758", "predicate": "proves", "object": "we present rigorous topological order which emerges in a one - dimensional spin - orbital model due "}
{"subject": "math:arxiv_25765", "predicate": "proves", "object": "this paper investigates the polytropic matter shell collapse in the non - commutative reissner - nor"}
{"subject": "math:arxiv_25772", "predicate": "proves", "object": "it has been recently shown that collisional models can be used to derive a general form for the mast"}
{"subject": "math:arxiv_25775", "predicate": "proves", "object": "a construction of bases for cell modules of the birman  murakami  wenzl ( or b  m \n w ) algebra @xma"}
{"subject": "math:arxiv_25799", "predicate": "proves", "object": "we show that certain solutions to the linearized einstein equation can  by the application of a part"}
{"subject": "math:arxiv_25805", "predicate": "proves", "object": "on the assumption of the riemann hypothesis , we show that over a class of sufficiently smooth test "}
{"subject": "math:arxiv_25826", "predicate": "proves", "object": "we prove a new dyadic representation theorem with applications to the @xmath0 and @xmath1 theorems ."}
{"subject": "math:arxiv_25827", "predicate": "proves", "object": "in order to detect patterns in real networks , randomized graph ensembles that preserve only part of"}
{"subject": "math:arxiv_25846", "predicate": "proves", "object": "in this paper , we study the generation of entanglement in a double-@xmath0 system .  employing stan"}
{"subject": "math:arxiv_25851", "predicate": "proves", "object": "da rocha and rodigues ( rr ) claim ( i ) that in classical electrodynamics in _ vector calculus _ \n "}
{"subject": "math:arxiv_25852", "predicate": "proves", "object": "using bogoliubov - de gennes ( bdg ) equations we numerically calculate the disorder averaged densit"}
{"subject": "math:arxiv_25856", "predicate": "proves", "object": "we study generalized density - based clustering in which sharply defined clusters such as clusters o"}
{"subject": "math:arxiv_25857", "predicate": "proves", "object": "a method of solving the time - dependent schrdinger equation is presented , in which a finite region"}
{"subject": "math:arxiv_25860", "predicate": "proves", "object": "it is known ( e.l . green ( 1997 ) , o. post ( 2003 ) ) that for an arbitrary @xmath0 one can constr"}
{"subject": "math:arxiv_25882", "predicate": "proves", "object": "the recently developed \n internal \" density functional theory provides an existence theorem for a lo"}
{"subject": "math:arxiv_25885", "predicate": "proves", "object": "a topological theory initiated in @xcite , @xcite uses methods of algebraic topology to estimate num"}
{"subject": "math:arxiv_25902", "predicate": "proves", "object": "we consider infinitely long electromagnetic wave guide filled with a ferrite . \n the wave guide has "}
{"subject": "math:arxiv_25913", "predicate": "proves", "object": "based on density functional theory ( dft ) with non - collinear - magnetism formulations , we have c"}
{"subject": "math:arxiv_25934", "predicate": "proves", "object": "we present an accurate and rapid solution of poisson s equation for space - filling , arbitrarily - "}
{"subject": "math:arxiv_25954", "predicate": "proves", "object": "we give an explicit description of the mutation classes of quivers of type @xmath0 . \n furthermore ,"}
{"subject": "math:arxiv_25964", "predicate": "proves", "object": "in this article we review the basics of the phasor formalism in a rigorous way , highlighting the ph"}
{"subject": "math:arxiv_25978", "predicate": "proves", "object": "we extend a recently proposed quantum field theory ( qft ) approach to the lifshitz formula , origin"}
{"subject": "math:arxiv_25985", "predicate": "proves", "object": "we introduce intertwining operators among twisted modules or twisted intertwining operators associat"}
{"subject": "math:arxiv_25998", "predicate": "proves", "object": "we discuss the behaviour of massive modes near a horizon based on a study of the dispersion relation"}
{"subject": "math:arxiv_26001", "predicate": "proves", "object": "in the paper we study some numerical solutions to volterra equations which interpolate heat and wave"}
{"subject": "math:arxiv_26010", "predicate": "proves", "object": "this paper presents a new scalable algorithm for cross - modal similarity preserving retrieval in a "}
{"subject": "math:arxiv_26033", "predicate": "proves", "object": "we present an innovating sensitivity analysis for stochastic differential equations : we study the s"}
{"subject": "math:arxiv_26045", "predicate": "proves", "object": "we review how the use of recent precise data on kaon decays together with forward dispersion relatio"}
{"subject": "math:arxiv_26073", "predicate": "proves", "object": "we present the bayesian analysis of four different types of backreation models , which are based on "}
{"subject": "math:arxiv_26075", "predicate": "proves", "object": "we calculate the perturbative value of the free energy in lattice qcd in three dimensions , up to th"}
{"subject": "math:arxiv_26085", "predicate": "proves", "object": "we review some properties of the stationary states of the fokker - planck equation for @xmath0 inter"}
{"subject": "math:arxiv_26086", "predicate": "proves", "object": "we study the critical points of monomial functions over an algebraic subset of the probability simpl"}
{"subject": "math:arxiv_26110", "predicate": "proves", "object": "we recall the emergence of a generalized gauge theory from a noncommutative riemannian spin manifold"}
{"subject": "math:arxiv_26124", "predicate": "proves", "object": "we study the regularization dependence on the quenched schwinger  dyson equations in general gauge b"}
{"subject": "math:arxiv_26142", "predicate": "proves", "object": "the exact relativistic form for the beta decay endpoint spectrum is derived and presented in a simpl"}
{"subject": "math:arxiv_26151", "predicate": "proves", "object": "let @xmath0 be a nonnegative integer , we use ribbon @xmath1graph diagrams and the yamada polynomial"}
{"subject": "math:arxiv_26154", "predicate": "proves", "object": "a functional calculus on the space of ( generalized ) connections was recently introduced without an"}
{"subject": "math:arxiv_26188", "predicate": "proves", "object": "we use semi - invariant pictures to prove two conjectures about maximal green sequences . first : if"}
{"subject": "math:arxiv_26190", "predicate": "proves", "object": "comparison between three different numerical techniques for solving a coupled channel schrdinger equ"}
{"subject": "math:arxiv_26210", "predicate": "proves", "object": "the dissipative corrections to the hydrodynamic equations describing the evolution of energy - momen"}
{"subject": "math:arxiv_26212", "predicate": "proves", "object": "let @xmath0 be a closed manifold satisfying a mild homotopy assumption , then for any exact lagrangi"}
{"subject": "math:arxiv_26216", "predicate": "proves", "object": "we show that euclidean geometry in suitably high dimension can be expressed as a theory of orthogona"}
{"subject": "math:arxiv_26218", "predicate": "proves", "object": "given a knot in an integer homology sphere , one can construct a family of closed 3-manifolds ( para"}
{"subject": "math:arxiv_26233", "predicate": "proves", "object": "according to wick s theorem , the second order self - energy corrections of hadrons in the hot and d"}
{"subject": "math:arxiv_26236", "predicate": "proves", "object": "we determine the capacity of compound classical - quantum channels . as a consequence \n we obtain th"}
{"subject": "math:arxiv_26237", "predicate": "proves", "object": "while many dynamical systems of mechanical origin , in particular billiards , are strongly chaotic  "}
{"subject": "math:arxiv_26283", "predicate": "proves", "object": "maximum likelihood estimation of a log - concave probability density is formulated as a convex optim"}
{"subject": "math:arxiv_26286", "predicate": "proves", "object": "by exploring the four - terminal transmission of a semi - elliptic open quantum billiard in dependen"}
{"subject": "math:arxiv_26309", "predicate": "proves", "object": "we show a new functional limit theorem for weakly dependent regularly varying sequences of random ve"}
{"subject": "math:arxiv_26315", "predicate": "proves", "object": "a construction of algebraic surfaces based on two types of simple arrangements of lines , containing"}
{"subject": "math:arxiv_26318", "predicate": "proves", "object": "we examine classical , transient fluctuation theorems within the unifying framework of langevin dyna"}
{"subject": "math:arxiv_26322", "predicate": "proves", "object": "we complete the list of one loop renormalization group equations and matching conditions relevant fo"}
{"subject": "math:arxiv_26333", "predicate": "proves", "object": "we introduce a fully tuneable entangling gate for continuous - variable one - way quantum computatio"}
{"subject": "math:arxiv_26352", "predicate": "proves", "object": "the use of the van cittert \n zernike theorem for the formulation of the visibility function in satel"}
{"subject": "math:arxiv_26356", "predicate": "proves", "object": "one of the outstanding problems in the numerical discretization of the feynman \n kac formula calls f"}
{"subject": "math:arxiv_26389", "predicate": "proves", "object": "i briefly review the arguments why the braneworld models with infinite - volume extra dimensions cou"}
{"subject": "math:arxiv_26406", "predicate": "proves", "object": "we study the asymptotic behavior of solutions of the two dimensional incompressible euler equations "}
{"subject": "math:arxiv_26431", "predicate": "proves", "object": "the paper proposes an answer to the question formulated in the title . \n .2 in    institute for cont"}
{"subject": "math:arxiv_26469", "predicate": "proves", "object": "we derive a determinant expression for overlaps of bethe states of the xxz spin chain with the nel s"}
{"subject": "math:arxiv_26471", "predicate": "proves", "object": "a classical theorem of ghouila - houri from 1960 asserts that every directed graph on @xmath0 vertic"}
{"subject": "math:arxiv_26493", "predicate": "proves", "object": "in this paper we study submanifolds of almost contact manifolds with norden metric of codimension tw"}
{"subject": "math:arxiv_26499", "predicate": "proves", "object": "54.8pt 54.8pt using the hubbard hamiltonian for transition metal-3d and oxygen-2p states with perovs"}
{"subject": "math:arxiv_26518", "predicate": "proves", "object": "the faddeev - yakubowski equations have been solved in configuration space for the four nucleons sys"}
{"subject": "math:arxiv_26522", "predicate": "proves", "object": "we investigate the metal insulator transitions at finite temperature for the hubbard model with diag"}
{"subject": "math:arxiv_26523", "predicate": "proves", "object": "the nonlinear weakly dispersive serre equations contain higher - order dispersive terms . \n this inc"}
{"subject": "math:arxiv_26538", "predicate": "proves", "object": "any surface is completely characterized by a metric and a symmetric tensor satisfying the gauss - co"}
{"subject": "math:arxiv_26553", "predicate": "proves", "object": "recent work exhibited that distributed word representations are good at capturing linguistic regular"}
{"subject": "math:arxiv_26561", "predicate": "proves", "object": "the reduced dynamics for dark and bright soliton chains in the one - dimensional nonlinear schrdinge"}
{"subject": "math:arxiv_26585", "predicate": "proves", "object": "for a locally compact group @xmath0 we look at the group algebras @xmath1 and @xmath2 , and we let @"}
{"subject": "math:arxiv_26604", "predicate": "proves", "object": "we consider a class of nonlinear boltzmann equations describing return to thermal equilibrium in a g"}
{"subject": "math:arxiv_26629", "predicate": "proves", "object": "we explicitly model entanglement as a kind of parallelism under the framework of reversible quantum "}
{"subject": "math:arxiv_26635", "predicate": "proves", "object": "a fluid dynamics video of the rotating , weakly stratified boussinesq equations is presented that il"}
{"subject": "math:arxiv_26638", "predicate": "proves", "object": "we present a quantization scheme for a three - player prisoner s dilemma game . \n it is shown that e"}
{"subject": "math:arxiv_26651", "predicate": "proves", "object": "we consider mixed configurations consisting of a wormhole filled by a strongly magnetized isotropic "}
{"subject": "math:arxiv_26682", "predicate": "proves", "object": "this chapter discusses the equilibrium crystal shape ( ecs ) from a physical perspective , beginning"}
{"subject": "math:arxiv_26697", "predicate": "proves", "object": "let @xmath0 be an operator on a hilbert space @xmath1 with numerical radius @xmath2 . according to a"}
{"subject": "math:arxiv_26698", "predicate": "proves", "object": "i present a master formula for the next - to - next - to - leading order ( nnlo ) soft and virtual q"}
{"subject": "math:arxiv_26728", "predicate": "proves", "object": "we analyze the confining effect of cloud collapse on an expanding supernova shockfront . \n we solve "}
{"subject": "math:arxiv_26733", "predicate": "proves", "object": "singularities in the metric of the classical solutions to the einstein equations ( schwarzschild , k"}
{"subject": "math:arxiv_26740", "predicate": "proves", "object": "the online tutoring system capa was implemented at afeka college in the academic year 2000 - 2001 in"}
{"subject": "math:arxiv_26749", "predicate": "proves", "object": "a combinatorial version of yamabe flow is presented based on euclidean triangulations coming from sp"}
{"subject": "math:arxiv_26755", "predicate": "proves", "object": "in this paper we show how to split the root - locus plot for an irreducible rational transfer functi"}
{"subject": "math:arxiv_26758", "predicate": "proves", "object": "for a sufficiently regular open bounded set @xmath0 let us consider the equation @xmath1 , @xmath2 w"}
{"subject": "math:arxiv_26777", "predicate": "proves", "object": "the laplace - beltrami operator on cusp manifolds has continuous spectrum . \n the resonances are com"}
{"subject": "math:arxiv_26782", "predicate": "proves", "object": "the use of the binary tetrahedral group ( @xmath0 ) as flavor symmetry is discussed . \n i emphasize "}
{"subject": "math:arxiv_26786", "predicate": "proves", "object": "an algebraic derivation is presented which yields the exact solution of the mean first - passage and"}
{"subject": "math:arxiv_26810", "predicate": "proves", "object": "old and new cooling methods are discussed in reference to @xmath0 , ion and @xmath1 beams . \n = -5 m"}
{"subject": "math:arxiv_26813", "predicate": "proves", "object": "we define a commuting family of operators @xmath0 in the temperley \n lieb algebra @xmath1 of type @x"}
{"subject": "math:arxiv_26821", "predicate": "proves", "object": "we generalize a previously obtained result , for the case of a few other static hyperbolic universes"}
{"subject": "math:arxiv_26823", "predicate": "proves", "object": "in this paper , we study the asymptotics of the discrete chebyshev polynomials @xmath0 as the degree"}
{"subject": "math:arxiv_26837", "predicate": "proves", "object": "in this paper we study the geometry and the topology of unbounded domains in the hyperbolic space @x"}
{"subject": "math:arxiv_26839", "predicate": "proves", "object": "a well known conjecture of r. laugesen and c. morpurgo asserts that the diagonal element of the neum"}
{"subject": "math:arxiv_26874", "predicate": "proves", "object": "in this paper we introduce the one - sided fkpp equation in the context of homogeneous fragmentation"}
{"subject": "math:arxiv_26875", "predicate": "proves", "object": "we show how the continuity equation can be used to determine pattern speeds in the milky way galaxy "}
{"subject": "math:arxiv_26881", "predicate": "proves", "object": "we study nonmagnetic impurity effects in mgb@xmath0 using the quasiclassical equations of supercondu"}
{"subject": "math:arxiv_26902", "predicate": "proves", "object": "we find new exact solutions to the einstein - maxwell field equations which are relevant in the desc"}
{"subject": "math:arxiv_26919", "predicate": "proves", "object": "for a hopf algebra @xmath0 , we endow the heisenberg double @xmath1 with the structure of a module a"}
{"subject": "math:arxiv_26933", "predicate": "proves", "object": "we investigate both the `` physical process '' version of the first law and the second law of black "}
{"subject": "math:arxiv_26943", "predicate": "proves", "object": "in this note we discuss an abstract framework for standard boundary value problems in divergence for"}
{"subject": "math:arxiv_26962", "predicate": "proves", "object": "we develop an analogue of geometric quantization for poisson algebras obtained by algebraic reductio"}
{"subject": "math:arxiv_26974", "predicate": "proves", "object": "we derive a formula which expresses a second order cumulant whose entries are products as a sum of c"}
{"subject": "math:arxiv_27005", "predicate": "proves", "object": "we propose a new approach to the geometry of the four - qubit entanglement classes depending on para"}
{"subject": "math:arxiv_27009", "predicate": "proves", "object": "we study two sorts of actions on the space of conjugacy classes of irreducible @xmath0-representatio"}
{"subject": "math:arxiv_27029", "predicate": "proves", "object": "we investigate the initial condition which are simultaneously consistent with perturbation equations"}
{"subject": "math:arxiv_27073", "predicate": "proves", "object": "we introduce equivariant tree models in algebraic statistics , which unify and generalise existing t"}
{"subject": "math:arxiv_27099", "predicate": "proves", "object": "the boltzmann equation for excess cooper pairs above @xmath0 is derived in the framework of the time"}
{"subject": "math:arxiv_27103", "predicate": "proves", "object": "properties of spin-1 bose gases with ferromagnetic interaction in the presence of a nonzero magnetic"}
{"subject": "math:arxiv_27105", "predicate": "proves", "object": "wolfgang kummer was a pioneer of two - dimensional gravity and a strong advocate of the first order "}
{"subject": "math:arxiv_27108", "predicate": "proves", "object": "we review the geometrical formulation of quantum mechanics to identify , according to klein s progra"}
{"subject": "math:arxiv_27116", "predicate": "proves", "object": "we consider the nonlinear hartree equation for an interacting gas containing infinitely many particl"}
{"subject": "math:arxiv_27118", "predicate": "proves", "object": "the response of mesoscopic superconductors to an ac magnetic field is numerically investigated on th"}
{"subject": "math:arxiv_27136", "predicate": "proves", "object": "we derive a new formulation to calculate the excess chemical potential of a fraction of @xmath0 part"}
{"subject": "math:arxiv_27163", "predicate": "proves", "object": "the shale - stinespring theorem ( 1965 ) together with ruijsenaar s criterion ( 1977 ) provide a nec"}
{"subject": "math:arxiv_27175", "predicate": "proves", "object": "we study some analytical properties of the solutions of the non perturbative renormalization group f"}
{"subject": "math:arxiv_27177", "predicate": "proves", "object": "we derive optimal order a posteriori error estimates for fully discrete approximations of linear sch"}
{"subject": "math:arxiv_27186", "predicate": "proves", "object": "by using new power inequalities we give an elementary proof of an important relation for the riemann"}
{"subject": "math:arxiv_27205", "predicate": "proves", "object": "the vlasov equation is well known to provide a good description of the dynamics of mean - field syst"}
{"subject": "math:arxiv_27215", "predicate": "proves", "object": "the aim of this paper is to derive new representations for the hankel and bessel functions , exploit"}
{"subject": "math:arxiv_27217", "predicate": "proves", "object": "this article presents a statistical - mechanical treatment of a relationship ( the force equation ) "}
{"subject": "math:arxiv_27222", "predicate": "proves", "object": "we study a model for dynamical localization of topology using ideas from non - commutative geometry "}
{"subject": "math:arxiv_27224", "predicate": "proves", "object": "we consider the hirota equation ( the discrete analog of the generalized toda system ) over a finite"}
{"subject": "math:arxiv_27231", "predicate": "proves", "object": "using perturbation theory in the euclidean ( imaginary time ) formalism as well as the nonperturbati"}
{"subject": "math:arxiv_27243", "predicate": "proves", "object": "we formulate the effective gross - neveu - yukawa theory of the semimetal - insulator transitions on"}
{"subject": "math:arxiv_27246", "predicate": "proves", "object": "integrable discretizations of the complex and real dym equations are proposed . \n @xmath0-soliton so"}
{"subject": "math:arxiv_27256", "predicate": "proves", "object": "we construct a dynamical model for the time evolution of the boson - fermion coexistence system . \n "}
{"subject": "math:arxiv_27257", "predicate": "proves", "object": "we study configurations of a single @xmath0 fivebrane in the geometry @xmath1 where @xmath2 is the t"}
{"subject": "math:arxiv_27288", "predicate": "proves", "object": "using the solutions of the bethe - salpeter equation in minkowski space for bound and scattering sta"}
{"subject": "math:arxiv_27289", "predicate": "proves", "object": "we introduce the enveloping algebra for a leibniz pair , and show that the category of modules over "}
{"subject": "math:arxiv_27291", "predicate": "proves", "object": "bipartite on - shell diagrams are the latest tool in constructing scattering amplitudes . in this le"}
{"subject": "math:arxiv_27298", "predicate": "proves", "object": "we give a construction of a self - similar tiling of the plane with any prescribed expansion coeffic"}
{"subject": "math:arxiv_27311", "predicate": "proves", "object": "we give a bijection between partially directed paths in the symmetric wedge @xmath0 and matchings , "}
{"subject": "math:arxiv_27326", "predicate": "proves", "object": "we briefly discuss the quark - antiquark bethe - salpeter equation and the quark dyson - schwinger e"}
{"subject": "math:arxiv_27327", "predicate": "proves", "object": "we study fractional variational problems of herglotz type of variable order . \n necessary optimality"}
{"subject": "math:arxiv_27329", "predicate": "proves", "object": "the equation of state for compact stars is reviewed with special emphasis on the role of strange had"}
{"subject": "math:arxiv_27341", "predicate": "proves", "object": "we consider a system of nonlinear partial differential equations that describes an age - structured "}
{"subject": "math:arxiv_27350", "predicate": "proves", "object": "all finite dimensional nichols algebras with diagonal type of connected finite dimensional yetter - "}
{"subject": "math:arxiv_27351", "predicate": "proves", "object": "we propose a finite difference scheme to simulate solutions to a certain type of hyperbolic stochast"}
{"subject": "math:arxiv_27397", "predicate": "proves", "object": "we examine the composition of the @xmath0 norm with weakly convergent sequences of gradient fields a"}
{"subject": "math:arxiv_27400", "predicate": "proves", "object": "this is a commentary on teichmller s paper _ ein verschiebungssatz der quasikonformen abbildung _ ( "}
{"subject": "math:arxiv_27406", "predicate": "proves", "object": "in this paper we prove the hook content formula ( hcf ) ( and hook length formula ( hlf ) ) using in"}
{"subject": "math:arxiv_27408", "predicate": "proves", "object": "in this paper a new version of the dhn ( dashen - hasslacher - neveu ) formula , which is used to co"}
{"subject": "math:arxiv_27420", "predicate": "proves", "object": "we give sufficient conditions for a diffeomorphism of a compact surface to be robustly @xmath0-expan"}
{"subject": "math:arxiv_27432", "predicate": "proves", "object": "we consider random walks in strong - mixing random gibbsian environments in @xmath0 . \n based on reg"}
{"subject": "math:arxiv_27454", "predicate": "proves", "object": "we are interested in an anisotropic singular diffusion equation in the plane and in its regularizati"}
{"subject": "math:arxiv_27465", "predicate": "proves", "object": "we propose a new no - go theorem by proving the impossibility of constructing a deterministic quantu"}
{"subject": "math:arxiv_27474", "predicate": "proves", "object": "we examine a @xmath0-dimensional model of staggered lattice fermions with a four - fermion interacti"}
{"subject": "math:arxiv_27479", "predicate": "proves", "object": "in the context of the randall - sundrum braneworld , the minimal geometric deformation approach ( mg"}
{"subject": "math:arxiv_27489", "predicate": "proves", "object": "we present an analytic bogoliubov description of a bec of polar molecules trapped in a quasi-2d geom"}
{"subject": "math:arxiv_27516", "predicate": "proves", "object": "using relativistic , steady , axisymmetric , ideal magnetohydrodynamics ( mhd ) we analyze the super"}
{"subject": "math:arxiv_27518", "predicate": "proves", "object": "this paper compares two invariants of foliated manifolds which seem to measure the non - hausdorffne"}
{"subject": "math:arxiv_27526", "predicate": "proves", "object": "we investigate the @xmath0-variable real functions @xmath1 that are solutions of the chisini functio"}
{"subject": "math:arxiv_27530", "predicate": "proves", "object": "we study the stability in the inverse problem of determining the time dependent zeroth - order coeff"}
{"subject": "math:arxiv_27540", "predicate": "proves", "object": "we consider the statistics of the number of nodal domains aka nodal counts for eigenfunctions of sep"}
{"subject": "math:arxiv_27554", "predicate": "proves", "object": "fixing a weakly unobstructed lagrangian torus in a symplectic manifold @xmath0 , we define a holomor"}
{"subject": "math:arxiv_27555", "predicate": "proves", "object": "three - terminal superconductor ( s ) - normal metal ( n ) - superconductor ( s ) josephson junction"}
{"subject": "math:arxiv_27578", "predicate": "proves", "object": "we study numerically the dynamical triangulation formulation of two - dimensional quantum gravity us"}
{"subject": "math:arxiv_27588", "predicate": "proves", "object": "we show that factorization holds for the deeply virtual compton scattering amplitude in qcd , up to "}
{"subject": "math:arxiv_27591", "predicate": "proves", "object": "an occurrence of an oscillating universe is showed using an inhomogeneous equation of state for dark"}
{"subject": "math:arxiv_27602", "predicate": "proves", "object": "it is an interesting question whether a given equation of motion has a periodic solution or not , an"}
{"subject": "math:arxiv_27611", "predicate": "proves", "object": "we present an analytic calculation of the @xmath0 recoil and radiative recoil corrections to energy "}
{"subject": "math:arxiv_27630", "predicate": "proves", "object": "the thermalization of a longitudinally expanding color glass condensate with bjorken boost invariant"}
{"subject": "math:arxiv_27664", "predicate": "proves", "object": "we point out novel consequences of general relativity involving tidal dynamics of ultrarelativistic "}
{"subject": "math:arxiv_27672", "predicate": "proves", "object": "using the microscopic tight - binding equations we derive the effective hamiltonian for the two - la"}
{"subject": "math:arxiv_27682", "predicate": "proves", "object": "in this work we have shown that the euler - lagrange equation ( ele ) can be simplified for one - di"}
{"subject": "math:arxiv_27733", "predicate": "proves", "object": "the lagrange - mesh method is a very accurate procedure to compute eigenvalues and eigenfunctions of"}
{"subject": "math:arxiv_27738", "predicate": "proves", "object": "localized states of harper s equation correspond to strange nonchaotic attractors ( snas ) in the re"}
{"subject": "math:arxiv_27744", "predicate": "proves", "object": "we compute the chow motive of certain subvarieties of the flags manifold and show that it is an arti"}
{"subject": "math:arxiv_27764", "predicate": "proves", "object": "the canonical formulation of @xmath0 supergravity is presented . \n we work out the supersymmetry gen"}
{"subject": "math:arxiv_27766", "predicate": "proves", "object": "an important open question in cosmology is the degree to which the friedmann - lematre - robertson -"}
{"subject": "math:arxiv_27771", "predicate": "proves", "object": "we introduce a notion of morphism of cohft s , on the basis of the analogy with @xmath0 morphisms , "}
{"subject": "math:arxiv_27782", "predicate": "proves", "object": "an analytical formula for the occurence probability of markovian stochastic paths with repeatedly vi"}
{"subject": "math:arxiv_27789", "predicate": "proves", "object": "we consider the @xmath0 case of the conjectures by bonnaf , geck , iancu and lam on cellular structu"}
{"subject": "math:arxiv_27801", "predicate": "proves", "object": "motivated by the experimentally observed shear - induced destabilization and reorientation of smecti"}
{"subject": "math:arxiv_27810", "predicate": "proves", "object": "the theme of this paper is the derivation of analytic formulae for certain large combinatorial struc"}
{"subject": "math:arxiv_27811", "predicate": "proves", "object": "we study the solar neutrino problem within the framework of a parametrized post - newtonian formulat"}
{"subject": "math:arxiv_27822", "predicate": "proves", "object": "recently , the author and collaborators have developed a systematic program for proving the existenc"}
{"subject": "math:arxiv_27833", "predicate": "proves", "object": "modal quantum theory ( mqt ) is a simplified cousin of ordinary hilbert space quantum theory . \n we "}
{"subject": "math:arxiv_27854", "predicate": "proves", "object": "the dirac equation in ( 1 + 1 ) dimensions with a non - local @xmath0-symmetric potential of separab"}
{"subject": "math:arxiv_27861", "predicate": "proves", "object": "we analyze the existence and stability of localized solutions in the one - dimensional discrete nonl"}
{"subject": "math:arxiv_27864", "predicate": "proves", "object": "the switching probability of a single - domain ferromagnet under spin - current excitation is evalua"}
{"subject": "math:arxiv_27866", "predicate": "proves", "object": "the complete form of the equation of state of strangeness rich proto - neutron and neutron star matt"}
{"subject": "math:arxiv_27882", "predicate": "proves", "object": "* background : * possible evidence for triangular flow and other `` higher harmonic flows '' in high"}
{"subject": "math:arxiv_27892", "predicate": "proves", "object": "using non - equilibrium green s functions ( negf ) , we calculate the current through an interacting"}
{"subject": "math:arxiv_27909", "predicate": "proves", "object": "because of the difficulty in getting the analytic formula of relative entropy of entanglement , it b"}
{"subject": "math:arxiv_27917", "predicate": "proves", "object": "we study the patch dynamics on the whole plane and on the half - plane for a family of active scalar"}
{"subject": "math:arxiv_27932", "predicate": "proves", "object": "several types of darboux transformations for supersymmetric integrable systems such as the manin - r"}
{"subject": "math:arxiv_27973", "predicate": "proves", "object": "in classical estimation theory , the central limit theorem implies that the statistical error in a m"}
{"subject": "math:arxiv_27979", "predicate": "proves", "object": "we present simple and accurate analytical formulae for the rates of compton scattering by relativist"}
{"subject": "math:arxiv_27986", "predicate": "proves", "object": "the tolman  vii solution for a static perfect fluid sphere to the einstein equations is reexamined ,"}
{"subject": "math:arxiv_27993", "predicate": "proves", "object": "non - adiabatic charge pumping through a single - level quantum dot with periodically modulated para"}
{"subject": "math:arxiv_28010", "predicate": "proves", "object": "the recently proposed discrete unified gas kinetic scheme ( dugks ) is a finite volume method for de"}
{"subject": "math:arxiv_28020", "predicate": "proves", "object": "recent experiments on mesoscopic samples and theoretical considerations lead us to analyze multiply "}
{"subject": "math:arxiv_28024", "predicate": "proves", "object": "in this paper , we will illustrate how computer algebra system cadabra is used in computing the supe"}
{"subject": "math:arxiv_28048", "predicate": "proves", "object": "based on the one - parameter generalization of shannon - khinchin ( sk ) axioms presented by one of "}
{"subject": "math:arxiv_28053", "predicate": "proves", "object": "we investigate to what extent the cosmic crystallographic methods aimed to detect the topology of th"}
{"subject": "math:arxiv_28072", "predicate": "proves", "object": "in this short note we provide a review of some developments in the area of homotopy quantum field th"}
{"subject": "math:arxiv_28081", "predicate": "proves", "object": "we study meson and diquark bound states using the rainbow - ladder truncation of qcd s dyson  schwin"}
{"subject": "math:arxiv_28082", "predicate": "proves", "object": "we investigate the generalization of the spin - boson model to arbitrary spin size . \n the born - ma"}
{"subject": "math:arxiv_28084", "predicate": "proves", "object": "we consider deterministic and stochastic perturbations of dynamical systems with conservation laws i"}
{"subject": "math:arxiv_28093", "predicate": "proves", "object": "the hilbert  chapman \n enskog  expansion of the kinetic equations in mean flight times is believed t"}
{"subject": "math:arxiv_28096", "predicate": "proves", "object": "a pitchfork bifurcation of an @xmath0-dimensional invariant submanifold of a dynamical system in @xm"}
{"subject": "math:arxiv_28115", "predicate": "proves", "object": "the comment by markenscoff that criticizes a recent dynamic extension of the peierls - nabarro equat"}
{"subject": "math:arxiv_28127", "predicate": "proves", "object": "we give a short proof of the fundamental result that the critical probability for bond percolation i"}
{"subject": "math:arxiv_28145", "predicate": "proves", "object": "the goal of this paper is twofold . \n first we prove a rigidity estimate , which generalises the the"}
{"subject": "math:arxiv_28146", "predicate": "proves", "object": "quantified boolean formulas ( qbfs ) generalize propositional formulas by admitting quantifications "}
{"subject": "math:arxiv_28147", "predicate": "proves", "object": "a unique form of turbulent - transport equations is derived based on first principles.the role of no"}
{"subject": "math:arxiv_28148", "predicate": "proves", "object": "a monodromy transform approach , presented in this communication , provides a general base for solut"}
{"subject": "math:arxiv_28165", "predicate": "proves", "object": "we discuss the resolution of toroidal orbifolds . for the resulting smooth calabi  yau manifolds , w"}
{"subject": "math:arxiv_28171", "predicate": "proves", "object": "we present a hybrid equation of state ( eos ) for dense matter that satisfies phenomenological const"}
{"subject": "math:arxiv_28174", "predicate": "proves", "object": "a numerical method for an inverse problem for an elliptic equation with the running source at multip"}
{"subject": "math:arxiv_28175", "predicate": "proves", "object": "in this paper we demonstrate for the first time that it is possible to solve numerically the cauchy "}
{"subject": "math:arxiv_28179", "predicate": "proves", "object": "starting from the governing equations for a quantum magnetoplasma including the quantum bohm potenti"}
{"subject": "math:arxiv_28180", "predicate": "proves", "object": "we derive a set of optical bloch equations directly from the minimal - coupling hamiltonian density "}
{"subject": "math:arxiv_28221", "predicate": "proves", "object": "in this paper we present in detail the numerical solution of the conformally invariant wave equation"}
{"subject": "math:arxiv_28227", "predicate": "proves", "object": "the @xmath0-path conjecture due to klee and wolfe states that any two vertices of a simple polytope "}
{"subject": "math:arxiv_28251", "predicate": "proves", "object": "we describe an algebraic proof of the well - known topological fact that @xmath0 . \n the fundamental"}
{"subject": "math:arxiv_28253", "predicate": "proves", "object": "in this paper we propose an algorithm for the numerical solution of arbitrary differential equations"}
{"subject": "math:arxiv_28261", "predicate": "proves", "object": "rivin conjectured that the conjugacy growth series of a hyperbolic group is rational if and only if "}
{"subject": "math:arxiv_28262", "predicate": "proves", "object": "grard watts predicted a formula for the probability in percolation that there is both a left \n right"}
{"subject": "math:arxiv_28305", "predicate": "proves", "object": "in recent decades a lot of research has been done on the numerical solution of the time \n dependent "}
{"subject": "math:arxiv_28318", "predicate": "proves", "object": "fast x - ray timing can be used to probe strong gravity fields around collapsed objects and constrai"}
{"subject": "math:arxiv_28328", "predicate": "proves", "object": "in this paper we study the quantum cosmological kantowski - sachs model and solve the wheeler - dewi"}
{"subject": "math:arxiv_28332", "predicate": "proves", "object": "we present reduction theorems for the problem of optimal unambiguous state discrimination ( optimal "}
{"subject": "math:arxiv_28345", "predicate": "proves", "object": "we present a new , explicit formula for all tree - level amplitudes in @xmath0 super yang - mills . "}
{"subject": "math:arxiv_28357", "predicate": "proves", "object": "in this paper , we present our conclusions from the numerical study of the collapse of a destabilize"}
{"subject": "math:arxiv_28362", "predicate": "proves", "object": "a well - known and difficult problem in computational number theory and algebraic geometry is to wri"}
{"subject": "math:arxiv_28365", "predicate": "proves", "object": "we study the relationship between the geometry and the laplace spectrum of a riemannian orbifold @xm"}
{"subject": "math:arxiv_28369", "predicate": "proves", "object": "let @xmath0 be a manifold ( with boundary ) of dimension @xmath1 , such that its interior admits a h"}
{"subject": "math:arxiv_28378", "predicate": "proves", "object": "recently a new type of cosmological singularity has been postulated for infinite barotropic index @x"}
{"subject": "math:arxiv_28379", "predicate": "proves", "object": "physical geometry and optical properties of objects are correlated : cylinders focus light to a line"}
{"subject": "math:arxiv_28393", "predicate": "proves", "object": "motivated by recent experimental and theoretical studies of few - particle vortex clusters in bose -"}
{"subject": "math:arxiv_28399", "predicate": "proves", "object": "the svetitsky  yaffe conjecture for finite temperature @xmath0 @xmath1 lattice gauge theory is confi"}
{"subject": "math:arxiv_28421", "predicate": "proves", "object": "we give a proof of the lmo conjecture which say that for any simply connectd simple lie group @xmath"}
{"subject": "math:arxiv_28424", "predicate": "proves", "object": "we discuss the reliability of integral - equation methods based on several commonly used closure rel"}
{"subject": "math:arxiv_28433", "predicate": "proves", "object": "the effects of the electromagnetic field on material systems are governed by joint light - matter co"}
{"subject": "math:arxiv_28460", "predicate": "proves", "object": "schulze s rule is used in the elections of a large number of organizations including wikimedia and d"}
{"subject": "math:arxiv_28464", "predicate": "proves", "object": "we give a formula of @xmath0-dimensional invariant for a cyclic contact branched covering of the sta"}
{"subject": "math:arxiv_28501", "predicate": "proves", "object": "this paper solves the integral equation which describes the oscillating inhomogeneous string , by us"}
{"subject": "math:arxiv_28509", "predicate": "proves", "object": "we have developed a general method for finding apparent horizons in 3d numerical relativity . instea"}
{"subject": "math:arxiv_28511", "predicate": "proves", "object": "we argue that the emergent spacetime picture admits a background - independent formulation of cosmic"}
{"subject": "math:arxiv_28521", "predicate": "proves", "object": "a major direction in the theory of cluster algebras is to construct ( quantum ) cluster algebra stru"}
{"subject": "math:arxiv_28526", "predicate": "proves", "object": "we explore the potential of a formulation of the navier - stokes equations incorporating a random de"}
{"subject": "math:arxiv_28531", "predicate": "proves", "object": "the single impurity kondo model at zero temperature in a magnetic field is solved by a semi  analyti"}
{"subject": "math:arxiv_28544", "predicate": "proves", "object": "limit theorems for the volumes of excursion sets of weakly and strongly dependent heavy - tailed ran"}
{"subject": "math:arxiv_28548", "predicate": "proves", "object": "using set - theoretic considerations , we show that the forest formula for overlapping divergences c"}
{"subject": "math:arxiv_28549", "predicate": "proves", "object": "in order to extend the schtzenberger s factorization , the combinatorial hopf algebra of the @xmath0"}
{"subject": "math:arxiv_28550", "predicate": "proves", "object": "in this paper we consider a class of robust multilevel precontioners for the helmholtz equation with"}
{"subject": "math:arxiv_28553", "predicate": "proves", "object": "we discuss the problem of identification of coupling constants , which describe interactions between"}
{"subject": "math:arxiv_28558", "predicate": "proves", "object": "we consider axially periodic taylor - couette geometry with insulating boundary conditions . \n the i"}
{"subject": "math:arxiv_28566", "predicate": "proves", "object": "by calculating the fermat limit of certain @xmath0fermat functions , we get explicit surgery formula"}
{"subject": "math:arxiv_28572", "predicate": "proves", "object": "we study the electron spin relaxation in intrinsic and @xmath0-type ( 001 ) gaas quantum wells by co"}
{"subject": "math:arxiv_28587", "predicate": "proves", "object": "suppose that the @xmath0-manifold @xmath1 is given by integral surgery along a link @xmath2 . in the"}
{"subject": "math:arxiv_28602", "predicate": "proves", "object": "in this work we explore the consequences that a non - minimal coupling between geometry and matter c"}
{"subject": "math:arxiv_28612", "predicate": "proves", "object": "truncated lvy flights are random walks in which the arbitrarily large steps of a lvy flight are elim"}
{"subject": "math:arxiv_28626", "predicate": "proves", "object": "we consider the entanglement properties of free fermions in one dimension and review an approach whi"}
{"subject": "math:arxiv_28634", "predicate": "proves", "object": "a version of a conjecture of mcmullen is as follows : given a hyperbolizable 3-manifold m with incom"}
{"subject": "math:arxiv_28636", "predicate": "proves", "object": "we develop a floquet approach to solve time - periodic quantum langevin equations in steady state . "}
{"subject": "math:arxiv_28643", "predicate": "proves", "object": "in this paper we show that the seiberg  witten invariant is zero for all smooth 4manifolds with @xma"}
{"subject": "math:arxiv_28663", "predicate": "proves", "object": "we show that all sufficiently large @xmath0-connected graphs of bounded tree - width are @xmath1-lin"}
{"subject": "math:arxiv_28669", "predicate": "proves", "object": "we study the dynamics of a spin coupled to an oscillating magnetic field , in the presence of decohe"}
{"subject": "math:arxiv_28672", "predicate": "proves", "object": "this paper describes the spherical concave mirror method for measuring the index of refraction of tr"}
{"subject": "math:arxiv_28695", "predicate": "proves", "object": "pulsars seen at gamma - ray energies offer insight into particle acceleration to very high energies "}
{"subject": "math:arxiv_28732", "predicate": "proves", "object": "we discuss how the ordinary renormalization group ( rg ) equations arise in the context of wilson s "}
{"subject": "math:arxiv_28743", "predicate": "proves", "object": "we discuss electromagnetic currents in the point - form formulation of relativistic quantum mechanic"}
{"subject": "math:arxiv_28754", "predicate": "proves", "object": "the recently proposed all orders function for current interactions in two dimensions is further inve"}
{"subject": "math:arxiv_28756", "predicate": "proves", "object": "the flory huggins equation of state for monodisperse polymers can be turned into a density functiona"}
{"subject": "math:arxiv_28772", "predicate": "proves", "object": "planar automata seems to be representative of the synchronizing behavior of deterministic finite sta"}
{"subject": "math:arxiv_28830", "predicate": "proves", "object": "we study the number of darboux charts needed to cover a closed connected symplectic manifold @xmath0"}
{"subject": "math:arxiv_28847", "predicate": "proves", "object": "the joining  splitting interaction of non - critical bosonic string is analyzed in the light - cone "}
{"subject": "math:arxiv_28860", "predicate": "proves", "object": "this paper present a numerical method for solving nonlinear fredholm integral equations . \n the meth"}
{"subject": "math:arxiv_28866", "predicate": "proves", "object": "we prove the following optimal colorful tverberg  vreica type transversal theorem : for prime @xmath"}
{"subject": "math:arxiv_28873", "predicate": "proves", "object": "in this paper , based on the theory of rooted trees and b - series , we propose the concrete formula"}
{"subject": "math:arxiv_28879", "predicate": "proves", "object": "duo is a general , user - friendly program for computing rotational , rovibrational and rovibronic s"}
{"subject": "math:arxiv_28880", "predicate": "proves", "object": "we introduce a fractional kramers equation for a particle interacting with a thermal heat bath and e"}
{"subject": "math:arxiv_28893", "predicate": "proves", "object": "it is a safe conjecture that most ( not necessarily periodic ) two - dimensional lorentz gases with "}
{"subject": "math:arxiv_28894", "predicate": "proves", "object": "in calculus , an indefinite integral of a function @xmath0 is a differentiable function @xmath1 whos"}
{"subject": "math:arxiv_28910", "predicate": "proves", "object": "we theoretically and numerically study the effect of backscattering on rotating ring lasers by emplo"}
{"subject": "math:arxiv_28931", "predicate": "proves", "object": "we present an extension of the ergodic , mixing , and bernoulli levels of the ergodic hierarchy for "}
{"subject": "math:arxiv_28936", "predicate": "proves", "object": "fundamental modifications of the standard schrdinger  equation by additional nonlinear terms have be"}
{"subject": "math:arxiv_28938", "predicate": "proves", "object": "the concept of a clone is central to many branches of mathematics , such as universal algebra , alge"}
{"subject": "math:arxiv_28942", "predicate": "proves", "object": "we prove a new morse - sard type theorem for the asymptotic critical values of semi - algebraic mapp"}
{"subject": "math:arxiv_28997", "predicate": "proves", "object": "for an idealised bond - node crystal framework @xmath0 in @xmath1 symmetry equations are obtained fo"}
{"subject": "math:arxiv_29003", "predicate": "proves", "object": "we study brane inflation in a warped deformed conifold background that includes general possible cor"}
{"subject": "math:arxiv_29004", "predicate": "proves", "object": "we have used the kubo formula to calculate the temperature dependence of the electrical conductance "}
{"subject": "math:arxiv_29010", "predicate": "proves", "object": "we construct 3-d solutions of maxwell s equations that describe gaussian light beams focused by a st"}
{"subject": "math:arxiv_29017", "predicate": "proves", "object": "the field equations of mannheim s theory of conformal gravity with dynamic mass generation are solve"}
{"subject": "math:arxiv_29022", "predicate": "proves", "object": "i will discuss results of three different types in geometry and topology . \n ( 1 ) general vanishing"}
{"subject": "math:arxiv_29023", "predicate": "proves", "object": "we consider non - orientable closed surfaces of minimum crosscap number in the @xmath0-lens space @x"}
{"subject": "math:arxiv_29045", "predicate": "proves", "object": "we define centrally large subalgebras of simple unital c*-algebras , strengthening the definition of"}
{"subject": "math:arxiv_29068", "predicate": "proves", "object": "in @xcite bourgain proves that sarnak s disjointness conjecture holds for a certain class of three -"}
{"subject": "math:arxiv_29070", "predicate": "proves", "object": "we consider lvy flights subject to external force fields . \n this anomalous transport process is des"}
{"subject": "math:arxiv_29077", "predicate": "proves", "object": "we consider bounds on codes in spherical caps and related problems in geometry and coding theory . \n"}
{"subject": "math:arxiv_29082", "predicate": "proves", "object": "we present a new method to create an active cloak for a rigid inclusion in a thin plate , and analys"}
{"subject": "math:arxiv_29085", "predicate": "proves", "object": "the emc effect is studied by using the dglap equation with the zrs corrections and minimum number of"}
{"subject": "math:arxiv_29092", "predicate": "proves", "object": "we consider a surface bundle over the circle , the so called magic manifold @xmath0 . \n we determine"}
{"subject": "math:arxiv_29108", "predicate": "proves", "object": "we revisit the classical approach of comoving coordinates in relativistic hydrodynamics and we give "}
{"subject": "math:arxiv_29113", "predicate": "proves", "object": "let @xmath0 be a subring of the field of rational functions in @xmath1 which contains @xmath2 . \n le"}
{"subject": "math:arxiv_29124", "predicate": "proves", "object": "the answer to the question , what physical meaning should be attributed to the so - called boost - r"}
{"subject": "math:arxiv_29146", "predicate": "proves", "object": "henri poincar formulated the mathematics of the lorentz transformations , known as the poincar group"}
{"subject": "math:arxiv_29180", "predicate": "proves", "object": "we discuss dirac neutrino masses and mixings in a scenario where both the standard model fermions an"}
{"subject": "math:arxiv_29200", "predicate": "proves", "object": "a formalism for semi - adiabatic cranking mass parameters is presented . for the fission process of "}
{"subject": "math:arxiv_29202", "predicate": "proves", "object": "the freund family of distributions becomes a riemannian 4-manifold with fisher information as metric"}
{"subject": "math:arxiv_29207", "predicate": "proves", "object": "we apply optimal control theory to a tuberculosis model given by a system of ordinary differential e"}
{"subject": "math:arxiv_29219", "predicate": "proves", "object": "the dynamical generation of wormholes within an extension of general relativity ( gr ) containing ( "}
{"subject": "math:arxiv_29223", "predicate": "proves", "object": "the pair @xmath0 consisting of a knot @xmath1 and a surjective map @xmath2 from the knot group onto "}
{"subject": "math:arxiv_29258", "predicate": "proves", "object": "coefficient inverse problems related to identifying the right - hand side of an equation with use of"}
{"subject": "math:arxiv_29272", "predicate": "proves", "object": "in this paper we consider double parton distribution functions ( dpdfs ) which are the main non pert"}
{"subject": "math:arxiv_29275", "predicate": "proves", "object": "in @xcite , n. katz introduced the notion of the middle convolution on local systems . \n this can be"}
{"subject": "math:arxiv_29278", "predicate": "proves", "object": "we study heat transport in a chain of harmonic oscillators with random elastic collisions between ne"}
{"subject": "math:arxiv_29295", "predicate": "proves", "object": "reaction paths and classical and quantum trajectories are studied within a generalized hamilton - ja"}
{"subject": "math:arxiv_29300", "predicate": "proves", "object": "a straightforward formalism to evaluate the impact of type ia supernovae ( snia ) on large scale ast"}
{"subject": "math:arxiv_29310", "predicate": "proves", "object": "we use a nonlinear schroedinger - poisson equation to describe two interacting electrons with opposi"}
{"subject": "math:arxiv_29315", "predicate": "proves", "object": "it is known that random @xmath0-cnf formulas have a so - called satisfiability threshold at a densit"}
{"subject": "math:arxiv_29316", "predicate": "proves", "object": "working with a completely collinear twist-3 factorized cross - section formula , we identify two lar"}
{"subject": "math:arxiv_29320", "predicate": "proves", "object": "we study the effect of varying the equation of state on the formation of stellar clusters in turbule"}
{"subject": "math:arxiv_29328", "predicate": "proves", "object": "magnetospheres of many astrophysical objects can be accurately described by the low - inertia ( or  "}
{"subject": "math:arxiv_29338", "predicate": "proves", "object": "a method of eliminating the memory from the equations of motion of linear viscoelasticity is present"}
{"subject": "math:arxiv_29346", "predicate": "proves", "object": "we introduce a coupled pair of evolution equations for the unintegrated gluon distribution and the s"}
{"subject": "math:arxiv_29354", "predicate": "proves", "object": "we consider a diffeomorphism @xmath0 of a compact manifold @xmath1 which is _ almost axiom a _ , i.e"}
{"subject": "math:arxiv_29357", "predicate": "proves", "object": "the theorem of mukhin , tarasov , and varchenko ( formerly the shapiro conjecture for grassmannians "}
{"subject": "math:arxiv_29377", "predicate": "proves", "object": "the dressing method based on the @xmath0 matrix @xmath1-problem is generalized to study the canonica"}
{"subject": "math:arxiv_29385", "predicate": "proves", "object": "we study the total cross section and angular distribution in rayleigh scattering by hydrogen atom in"}
{"subject": "math:arxiv_29411", "predicate": "proves", "object": "in this paper , we approach the classical problem of clustering using solution concepts from coopera"}
{"subject": "math:arxiv_29427", "predicate": "proves", "object": "in this work , we systematically generalize the evans function methodology to address vector systems"}
{"subject": "math:arxiv_29469", "predicate": "proves", "object": "since the seminal work @xcite the iteration stable ( stit ) tessellations have attracted considerabl"}
{"subject": "math:arxiv_29489", "predicate": "proves", "object": "we study lie brackets and jordan products derived from associative operations @xmath0 satisfying the"}
{"subject": "math:arxiv_29490", "predicate": "proves", "object": "we have developed a cosmic ray ( cr ) shock code in one dimensional spherical geometry with which th"}
{"subject": "math:arxiv_29493", "predicate": "proves", "object": "we describe a technique for mechanically proving certain kinds of theorems in combinatorics on words"}
{"subject": "math:arxiv_29494", "predicate": "proves", "object": "in this survey , we first present basic facts on a - infinity algebras and modules including their u"}
{"subject": "math:arxiv_29495", "predicate": "proves", "object": "a theorem of kirby gives a necessary and sufficient condition for two framed links in @xmath0 to yie"}
{"subject": "math:arxiv_29506", "predicate": "proves", "object": "several new formulas are developed that enable the evaluation of a family of definite integrals cont"}
{"subject": "math:arxiv_29507", "predicate": "proves", "object": "we develop a recursive method for perturbative solutions of the fokker - planck equation with nonlin"}
{"subject": "math:arxiv_29537", "predicate": "proves", "object": "on a compact riemannian manifold with boundary , we prove a spectral inequality for the bi - laplace"}
{"subject": "math:arxiv_29539", "predicate": "proves", "object": "using time evolutions of the relevant linearised equations we study non - axisymmetric oscillations "}
{"subject": "math:arxiv_29557", "predicate": "proves", "object": "we apply renormalization group techniques to the real time formulation of thermal field theory . due"}
{"subject": "math:arxiv_29565", "predicate": "proves", "object": "we formulate within a generalized distributional approach the treatment of the stability against rad"}
{"subject": "math:arxiv_29566", "predicate": "proves", "object": "we describe experiments on monodisperse spherical particles in an annular cell geometry , vibrated f"}
{"subject": "math:arxiv_29570", "predicate": "proves", "object": "peak interpolation is concerned with a foundational kind of mathematical task : building functions i"}
{"subject": "math:arxiv_29576", "predicate": "proves", "object": "in this paper , we introduce variants of formal nearby cycles for a locally noetherian formal scheme"}
{"subject": "math:arxiv_29591", "predicate": "proves", "object": "we consider a time fractional differential equation of order @xmath0 , @xmath1 , @xmath2+q(x , t ) ,"}
{"subject": "math:arxiv_29606", "predicate": "proves", "object": "the complex scaling method ( csm ) is a useful similarity transformation of the schrdinger equation "}
{"subject": "math:arxiv_29613", "predicate": "proves", "object": "given a riemann surface @xmath0 and a riemannian manifold @xmath1 with certain restrictions , we con"}
{"subject": "math:arxiv_29690", "predicate": "proves", "object": "the elastic charge form factors of the pion , kaon , d- and b - mesons are calculated within a relat"}
{"subject": "math:arxiv_29702", "predicate": "proves", "object": "a recent paper of melbourne & stuart , a note on diffusion limits of chaotic skew product flows , _ "}
{"subject": "math:arxiv_29730", "predicate": "proves", "object": "the systematic change of shell structure in both weakly bound and resonant neutron one - particle le"}
{"subject": "math:arxiv_29734", "predicate": "proves", "object": "this paper reviews results about free convection near a vertical flat plate embedded in some saturat"}
{"subject": "math:arxiv_29735", "predicate": "proves", "object": "this is a continuation of developing mutation theory in exact wkb analysis using the framework of cl"}
{"subject": "math:arxiv_29740", "predicate": "proves", "object": "we study the enumerative geometry of orbits of multidimensional toric action on projective algebraic"}
{"subject": "math:arxiv_29761", "predicate": "proves", "object": "we present a simple model where a nucleon is treated as the skyrmion , both monopole and skyrmion ar"}
{"subject": "math:arxiv_29768", "predicate": "proves", "object": "we analyze and compare the methods of construction of the recursion operators for a special class of"}
{"subject": "math:arxiv_29776", "predicate": "proves", "object": "due to their explicit construction , aloff - wallach spaces are prominent in flux compactifications "}
{"subject": "math:arxiv_29798", "predicate": "proves", "object": "we evaluate the classical action and the effective tachyon potential of open string field theory wit"}
{"subject": "math:arxiv_29816", "predicate": "proves", "object": "on the basis of a general formula obtained earlier via fourth - order perturbation theory within the"}
{"subject": "math:arxiv_29845", "predicate": "proves", "object": "we study the equation of state ( eos ) of nuclear matter as function of density . \n we expand the en"}
{"subject": "math:arxiv_29871", "predicate": "proves", "object": "in a recent work , gun , murty and rath have introduced a ` theorem ' asserting that @xmath0 yields "}
{"subject": "math:arxiv_29886", "predicate": "proves", "object": "in this paper , we propose a domain decomposition method for multiscale second order elliptic partia"}
{"subject": "math:arxiv_29893", "predicate": "proves", "object": "the topology of the las campanas redshift survey is analyzed using minkowski functional statistics ,"}
{"subject": "math:arxiv_29908", "predicate": "proves", "object": "this paper is the first part in a 2 part study of an elementary functorial construction from the cat"}
{"subject": "math:arxiv_29910", "predicate": "proves", "object": "adsorption geometry and stability of organic molecules on surfaces are key parameters that determine"}
{"subject": "math:arxiv_29919", "predicate": "proves", "object": "we analyze the global dynamics of bianchi type i solutions of the einstein equations with anisotropi"}
{"subject": "math:arxiv_29921", "predicate": "proves", "object": "we derive a _ spacetime _ formulation of quantum general relativity from ( hamiltonian ) loop quantu"}
{"subject": "math:arxiv_29944", "predicate": "proves", "object": "we develop a fourth order simulation algorithm for solving the stochastic langevin equation . \n the "}
{"subject": "math:arxiv_29945", "predicate": "proves", "object": "in this report , fundamental educational concepts of linear and non - linear equations and solutions"}
{"subject": "math:arxiv_29948", "predicate": "proves", "object": "the origin of equilibrium gravitational configurations is sought in terms of the stability of their "}
{"subject": "math:arxiv_29956", "predicate": "proves", "object": "the introduced notion of locally - periodic two - scale convergence allows to average a wider range "}
{"subject": "math:arxiv_29960", "predicate": "proves", "object": "the tubular geometry ( t - geometry ) is a generalization of the proper euclidean geometry , founded"}
{"subject": "math:arxiv_29991", "predicate": "proves", "object": "we show how to apply the bcfw recursion relation to feynman loop integrals with the help of the feyn"}
{"subject": "math:arxiv_29995", "predicate": "proves", "object": "elements of the tropical vertex group are formal families of symplectomorphisms of the 2-dimensional"}
{"subject": "math:arxiv_29997", "predicate": "proves", "object": "in this paper we present a model of riemannian loop quantum cosmology with a self - adjoint quantum "}
{"subject": "math:arxiv_30024", "predicate": "proves", "object": "we present a hydrodynamic lattice gas model for two - dimensional flows on curved surfaces with dyna"}
{"subject": "math:arxiv_30026", "predicate": "proves", "object": "we derive upper eigenvalue bounds for the dirac operator of a closed hypersurface in a manifold with"}
{"subject": "math:arxiv_30032", "predicate": "proves", "object": "we consider the evolutionary dynamics of a cooperative game on an adaptive network , where the strat"}
{"subject": "math:arxiv_30071", "predicate": "proves", "object": "we consider the perturbative ( weak field ) limit of the small @xmath0 qcd evolution equation for qu"}
{"subject": "math:arxiv_30073", "predicate": "proves", "object": "recent results have revealed a critical way in which lower order terms affect the well - posedness o"}
{"subject": "math:arxiv_30089", "predicate": "proves", "object": "an optimal control strategy is developed to construct nanostructures of desired geometry along line "}
{"subject": "math:arxiv_30107", "predicate": "proves", "object": "in this paper , we present a belief propagation ( bp ) based algorithm for decoding non - orthogonal"}
{"subject": "math:arxiv_30115", "predicate": "proves", "object": "by combining the grassmann algebra with multi - scale entanglement renormalization ansatz ( mera ) ,"}
{"subject": "math:arxiv_30116", "predicate": "proves", "object": "using euler s formula for a network of polygons for 2d case ( or polyhedra for 3d case ) , we show t"}
{"subject": "math:arxiv_30117", "predicate": "proves", "object": "we apply an analytical model for anisotropic , colliding bose - einstein condensates in a spontaneou"}
{"subject": "math:arxiv_30123", "predicate": "proves", "object": "a new type of noise - induced synchronous behavior is described . \n this phenomenon , called _ incom"}
{"subject": "math:arxiv_30136", "predicate": "proves", "object": "we investigate the steady state heat current in two and three dimensional disordered harmonic crysta"}
{"subject": "math:arxiv_30140", "predicate": "proves", "object": "in this paper , we prove that every orientable closed @xmath0-manifold dominates at most finitely ma"}
{"subject": "math:arxiv_30157", "predicate": "proves", "object": "the set of @xmath0 singular matrix pencils with normal rank at most @xmath1 is an algebraic set with"}
{"subject": "math:arxiv_30160", "predicate": "proves", "object": "in this paper , we show that there are non - properly embedded minimal surfaces with finite topology"}
{"subject": "math:arxiv_30169", "predicate": "proves", "object": "for smooth solutions to maxwell s equations sourced by a smooth charge - current distribution @xmath"}
{"subject": "math:arxiv_30170", "predicate": "proves", "object": "space - time @xmath0 and @xmath1 superconformal algebras can be built using world - sheet free field"}
{"subject": "math:arxiv_30187", "predicate": "proves", "object": "we present an equivalence theorem to unify the two classes of uncertainty relations , i.e. , the var"}
{"subject": "math:arxiv_30196", "predicate": "proves", "object": "we study the spaces of polynomials stratified into the sets of polynomial with fixed number of roots"}
{"subject": "math:arxiv_30198", "predicate": "proves", "object": "by combining the dirac equation of relativistic quantum mechanics with the bogoliubov - de gennes eq"}
{"subject": "math:arxiv_30226", "predicate": "proves", "object": "general sparse matrix - matrix multiplication ( spgemm ) is a fundamental building block for numerou"}
{"subject": "math:arxiv_30231", "predicate": "proves", "object": "we analyze the influence of electron - positron pairs creation on the motion of vortex lines in elec"}
{"subject": "math:arxiv_30235", "predicate": "proves", "object": "we consider a system of nonlinear equations that extends the maxwell theory . \n it was pointed out i"}
{"subject": "math:arxiv_30237", "predicate": "proves", "object": "listed as no . 53 among the one hundred famous unsolved problems in [ j. a. bondy , \n u. s. r. murty"}
{"subject": "math:arxiv_30238", "predicate": "proves", "object": "by means of white noise analysis , we prove some limit theorems for nonlinear functionals of a given"}
{"subject": "math:arxiv_30251", "predicate": "proves", "object": "the hales  jewett theorem is one of the pillars of ramsey theory , from which many other results fol"}
{"subject": "math:arxiv_30252", "predicate": "proves", "object": "we consider the fractal dimensions of critical clusters occurring in configurations of a @xmath0-sta"}
{"subject": "math:arxiv_30259", "predicate": "proves", "object": "experiments on the direction - resolved full - counting statistics of single - electron tunneling al"}
{"subject": "math:arxiv_30267", "predicate": "proves", "object": "we present a novel method to solve the spatially homogeneous and isotropic relativistic boltzmann eq"}
{"subject": "math:arxiv_30269", "predicate": "proves", "object": "we construct exact solutions describing the motion of rotating thin shells in a fully backreacted fi"}
{"subject": "math:arxiv_30302", "predicate": "proves", "object": "we investigate stability properties of indirectly damped systems of evolution equations in hilbert s"}
{"subject": "math:arxiv_30321", "predicate": "proves", "object": "the need for large - scale electronic structure calculations arises recently in the field of materia"}
{"subject": "math:arxiv_30336", "predicate": "proves", "object": "we give a general method for producing various effective null and positivstellenstze , and getting n"}
{"subject": "math:arxiv_30351", "predicate": "proves", "object": "generalized master equations valid for the third order response of an optically driven multi - level"}
{"subject": "math:arxiv_30385", "predicate": "proves", "object": "we investigate the accretion disk geometry in galactic black hole sources by measuring the time dela"}
{"subject": "math:arxiv_30404", "predicate": "proves", "object": "we derive a @xmath0number generalised langevin equation ( gle ) describing the evolution of the expe"}
{"subject": "math:arxiv_30420", "predicate": "proves", "object": "we define an analytical index map and a topological index map for conical pseudomanifolds . \n these "}
{"subject": "math:arxiv_30433", "predicate": "proves", "object": "in this paper we consider fractional higher - order stochastic differential equations of the form @x"}
{"subject": "math:arxiv_30448", "predicate": "proves", "object": "with the aim of constraining the structural properties of neutron stars and the equation of state of"}
{"subject": "math:arxiv_30498", "predicate": "proves", "object": "we prove that for @xmath0bridge knots , the diameter , @xmath1 , of the set of boundary slopes is tw"}
{"subject": "math:arxiv_30508", "predicate": "proves", "object": "we show that the energy spectrum of the one - dimensional dirac equation in the presence of a spatia"}
{"subject": "math:arxiv_30512", "predicate": "proves", "object": "in this note we classify invariant star products with quantum momentum maps on symplectic manifolds "}
{"subject": "math:arxiv_30528", "predicate": "proves", "object": "this work derives the linearized equations of motion , the lagrangian density , the hamiltonian dens"}
{"subject": "math:arxiv_30541", "predicate": "proves", "object": "we use raising operators to prove a tableau formula for the eta polynomials of @xcite and the stanle"}
{"subject": "math:arxiv_30550", "predicate": "proves", "object": "we present a genealogy for superprocesses with a non - homogeneous quadratic branching mechanism , r"}
{"subject": "math:arxiv_30559", "predicate": "proves", "object": "one of the most direct human mechanisms of promoting cooperation is rewarding it . \n we study the ef"}
{"subject": "math:arxiv_30565", "predicate": "proves", "object": "this is a survey of our recent work  @xcite with tom mrowka on seiberg \n witten gauge theory and ind"}
{"subject": "math:arxiv_30570", "predicate": "proves", "object": "in this review we discuss what is known about semiorthogonal decompositions of derived categories of"}
{"subject": "math:arxiv_30612", "predicate": "proves", "object": "we suggest a simple gaussian lagrangian variational scheme for the _ reduced _ time - dependent quas"}
{"subject": "math:arxiv_30613", "predicate": "proves", "object": "we investigate the geometry of a critical system undergoing a second order thermal phase transition "}
{"subject": "math:arxiv_30636", "predicate": "proves", "object": "we prove that the witten  reshetikhin \n turaev ( wrt ) @xmath0 invariant of an arbitrary 3manifold @"}
{"subject": "math:arxiv_30652", "predicate": "proves", "object": "we describe a conservative , shock - capturing scheme for evolving the equations of general relativi"}
{"subject": "math:arxiv_30657", "predicate": "proves", "object": "maxwell s equations are cast in the form of the schrdinger equation . \n the lanczos propagation meth"}
{"subject": "math:arxiv_30663", "predicate": "proves", "object": "let @xmath0 , @xmath1 , @xmath2 and consider the nonlocal diffusion operator @xmath3 = j \\star u - u"}
{"subject": "math:arxiv_30667", "predicate": "proves", "object": "permutation modules are fundamental in the representation theory of symmetric groups @xmath0 and the"}
{"subject": "math:arxiv_30689", "predicate": "proves", "object": "based on representations of the symmetric group @xmath0 , explicit and exact schrdinger equation is "}
{"subject": "math:arxiv_30727", "predicate": "proves", "object": "motivated by the problem of finding finite versions of classical incompleteness theorems , we presen"}
{"subject": "math:arxiv_30748", "predicate": "proves", "object": "a possible interplay between the two terms of the general type - ii seesaw formula is exercised whic"}
{"subject": "math:arxiv_30762", "predicate": "proves", "object": "a method of fundamental solutions has been used to investigate transitions in two energy level syste"}
{"subject": "math:arxiv_30793", "predicate": "proves", "object": "we give a combinatorial proof of the factorization formula of modified macdonald polynomials @xmath0"}
{"subject": "math:arxiv_30797", "predicate": "proves", "object": "the question of existence and properties of stationary solutions to langevin equations driven by noi"}
{"subject": "math:arxiv_30798", "predicate": "proves", "object": "the five laws of relativistic quantum mechanics , according to feynman s path integral formulation ,"}
{"subject": "math:arxiv_30809", "predicate": "proves", "object": "we establish an explicit pricing formula for a class of non - gaussian models ( the lvy - stable , o"}
{"subject": "math:arxiv_30825", "predicate": "proves", "object": "traditional approaches to the study of the dynamics of spacetime curvature in a very real sense hide"}
{"subject": "math:arxiv_30829", "predicate": "proves", "object": "in conventional general relativity , the expansion rate @xmath0 of a robertson - walker universe is "}
{"subject": "math:arxiv_30830", "predicate": "proves", "object": "in abelian theories , one can write for the hard thermal loop equations of motions a local formulati"}
{"subject": "math:arxiv_30834", "predicate": "proves", "object": "napoleon s theorem in elementary geometry describes how certain linear operations on plane polygons "}
{"subject": "math:arxiv_30861", "predicate": "proves", "object": "we write the dirac equation in curved 4-dimensional lorentzian spacetime using concepts from the ana"}
{"subject": "math:arxiv_30867", "predicate": "proves", "object": "coin and scattering are the two major formulations for discrete quantum walks models , each believed"}
{"subject": "math:arxiv_30871", "predicate": "proves", "object": "the two known exact solutions of einstein s field equations describing rotating objects of physical "}
{"subject": "math:arxiv_30886", "predicate": "proves", "object": "a simple way to find solutions of the painlev iv equation is by identifying hamiltonian systems with"}
{"subject": "math:arxiv_30902", "predicate": "proves", "object": "this is a rather comprehensive study on the dynamics of navier - stokes and euler equations via a co"}
{"subject": "math:arxiv_30915", "predicate": "proves", "object": "some new global results are given about solutions to the boundary value problem for the euler - lagr"}
{"subject": "math:arxiv_30927", "predicate": "proves", "object": "we test the accuracy of the ali method , widely used in stellar atmosphere modelling , by solving ex"}
{"subject": "math:arxiv_30985", "predicate": "proves", "object": "we derive and investigate a general non - markovian equation for the time - dependence of a hamilton"}
{"subject": "math:arxiv_30989", "predicate": "proves", "object": "we formulate direct , neutrino flavor - changing interactions in a framework that fits smoothly with"}
{"subject": "math:arxiv_30992", "predicate": "proves", "object": "this paper is the first of two papers constructing a calculus of pseudodifferential operators suitab"}
{"subject": "math:arxiv_31003", "predicate": "proves", "object": "five eigenvectors of the linear thermoviscous flow over the homogeneous background derived for the q"}
{"subject": "math:arxiv_31022", "predicate": "proves", "object": "in this paper , we study the nonlinear electrodynamics in the framework of @xmath0 gravity for frw u"}
{"subject": "math:arxiv_31027", "predicate": "proves", "object": "the existence of stars with masses up to @xmath0 and the hints of the existence of stars with radii "}
{"subject": "math:arxiv_31038", "predicate": "proves", "object": "we study the bifurcation loci of quadratic ( and unicritical ) polynomials and exponential maps . \n "}
{"subject": "math:arxiv_31056", "predicate": "proves", "object": "this paper presents a proof of correctness of an iterative approximate byzantine consensus ( iabc ) "}
{"subject": "math:arxiv_31060", "predicate": "proves", "object": "we formulate and study a low - order nonlinear coupled ocean  atmosphere model with an emphasis on t"}
{"subject": "math:arxiv_31063", "predicate": "proves", "object": "we derive functional equations for the eigenvalues of the xxz model subject to anti - diagonal twist"}
{"subject": "math:arxiv_31069", "predicate": "proves", "object": "we numerically solve the magnetic induction equation in a spherical shell geometry , with a kinemati"}
{"subject": "math:arxiv_31084", "predicate": "proves", "object": "a two - component two - dimensional ( 2d ) dipolar bosonic system in the bilayer geometry is conside"}
{"subject": "math:arxiv_31092", "predicate": "proves", "object": "all counterexamples of pinchuk type to the strong real jacobian conjecture are shown to have rationa"}
{"subject": "math:arxiv_31099", "predicate": "proves", "object": "we analyze a new macdowell - mansouri @xmath0-type supergravity action based on the superalgebra @xm"}
{"subject": "math:arxiv_31107", "predicate": "proves", "object": "we describe a classification of degree @xmath0 complex coefficient polynomials with respect to combi"}
{"subject": "math:arxiv_31109", "predicate": "proves", "object": "we revisit the well known \n black box \" theorem establishing a fundamental relation between the ampl"}
{"subject": "math:arxiv_31124", "predicate": "proves", "object": "this work devises a formalism to obtain the equations of motion for a black hole - fluid configurati"}
{"subject": "math:arxiv_31130", "predicate": "proves", "object": "a detailed analysis of two different theoretical equations of state for a binary mixture of additive"}
{"subject": "math:arxiv_31131", "predicate": "proves", "object": "a three - particle spin-@xmath0 fermion problem with on - site repulsion and nearest - neighbor attr"}
{"subject": "math:arxiv_31142", "predicate": "proves", "object": "we describe a proof - of - principle experiment on a fully permanent magnet atom chip . \n we study u"}
{"subject": "math:arxiv_31149", "predicate": "proves", "object": "this article discusses and explains the hamiltonian formulation for a class of simple gauge invarian"}
{"subject": "math:arxiv_31150", "predicate": "proves", "object": "we study a scenario under which variable step random walks give anomalous statistics . \n we begin by"}
{"subject": "math:arxiv_31152", "predicate": "proves", "object": "we report on the geometry of accretion disk and high energy coronae in the strong comptonization sta"}
{"subject": "math:arxiv_31165", "predicate": "proves", "object": "many problems arising in image processing and signal recovery with multi - regularization can be for"}
{"subject": "math:arxiv_31172", "predicate": "proves", "object": "we study tree languages that can be defined in @xmath0 . these are tree languages definable by a fir"}
{"subject": "math:arxiv_31197", "predicate": "proves", "object": "we continue our investigation of versality for parametrized families of linear retarded functional d"}
{"subject": "math:arxiv_31199", "predicate": "proves", "object": "we present equations for the gravitational lensing flexion expected for an elliptical lens mass dist"}
{"subject": "math:arxiv_31210", "predicate": "proves", "object": "the detailed derivation of the quantum landau - lifshitz - bloch ( qllb ) equation for simple spin -"}
{"subject": "math:arxiv_31212", "predicate": "proves", "object": "the bouncing universe provides a possible solution to the big bang singularity problem . in this pap"}
{"subject": "math:arxiv_31220", "predicate": "proves", "object": "this paper presents theory for the lagrange co - rotational ( cr ) formulation of finite elements in"}
{"subject": "math:arxiv_31221", "predicate": "proves", "object": "bayesian approaches to data analysis and machine learning are widespread and popular as they provide"}
{"subject": "math:arxiv_31233", "predicate": "proves", "object": "in this article , we assume that a cold charged perfect fluid is constructing a spherical relativist"}
{"subject": "math:arxiv_31234", "predicate": "proves", "object": "jones and rosso gave a formula for the colored jones polynomial of a torus knot , colored by an irre"}
{"subject": "math:arxiv_31271", "predicate": "proves", "object": "we present numerical schemes for the strong solution of linear stochastic differential equations dri"}
{"subject": "math:arxiv_31282", "predicate": "proves", "object": "we consider the linear damped wave equation on finite metric graphs and analyse its spectral propert"}
{"subject": "math:arxiv_31287", "predicate": "proves", "object": "for any arbitrary values of @xmath0 and @xmath1 quantum numbers , we present a simple exact analytic"}
{"subject": "math:arxiv_31322", "predicate": "proves", "object": "the photon frequency distribution that results from single compton scattering of monochromatic radia"}
{"subject": "math:arxiv_31335", "predicate": "proves", "object": "in this paper , we introduce adem - cartan operads and prove that the cohomology of any algebra over"}
{"subject": "math:arxiv_31377", "predicate": "proves", "object": "we address the propagation of the spin along classical trajectories for a 1/2-spin particle obeying "}
{"subject": "math:arxiv_31379", "predicate": "proves", "object": "we study the structure of abelian subgroups of galois groups of function fields . \n xy    [ subsubse"}
{"subject": "math:arxiv_31392", "predicate": "proves", "object": "in the framework of the theory of open systems based on completely positive quantum dynamical semigr"}
{"subject": "math:arxiv_31417", "predicate": "proves", "object": "recently , consistency of the infinite square well solution of the space fractional schrdinger equat"}
{"subject": "math:arxiv_31439", "predicate": "proves", "object": "the author presented two different proofs for a generalization of the aztec diamond theorem using a "}
{"subject": "math:arxiv_31448", "predicate": "proves", "object": "we demonstrate the appearance of zero - energy bound states satisfying the @xmath0 parafermionic alg"}
{"subject": "math:arxiv_31485", "predicate": "proves", "object": "it is known that heun s functions ( or differential equations ) can be reduced to gauss hypergeometr"}
{"subject": "math:arxiv_31501", "predicate": "proves", "object": "we investigate the band structure of electrons bound on periodic curved surfaces . \n we have formula"}
{"subject": "math:arxiv_31514", "predicate": "proves", "object": "the swimming of a two - sphere system and of a three - sphere chain in an incompressible viscous flu"}
{"subject": "math:arxiv_31525", "predicate": "proves", "object": "we develop a 3 + 1 + 1 covariant formalism with cosmological and astrophysical applications . \n firs"}
{"subject": "math:arxiv_31530", "predicate": "proves", "object": "we solve the bethe - salpeter equation for two - particle scattering in a field - theoretical model "}
{"subject": "math:arxiv_31534", "predicate": "proves", "object": "in a recent paper by barton ( j. phys . a * 40 * , 1011 ( 2007 ) ) , the 1-dimensional klein - gordo"}
{"subject": "math:arxiv_31539", "predicate": "proves", "object": "in this paper we review some properties for the evolving wormhole solution of einstein equations cou"}
{"subject": "math:arxiv_31568", "predicate": "proves", "object": "we study dbi - type effective theory of an unstable d3-brane in the background manifold @xmath0 wher"}
{"subject": "math:arxiv_31578", "predicate": "proves", "object": "we have calculated the pair correlation functions of a fluid interacting via the gay - berne(n-6 ) p"}
{"subject": "math:arxiv_31580", "predicate": "proves", "object": "it has been recently suggested that in wireless networks , csma - based distributed mac algorithms c"}
{"subject": "math:arxiv_31582", "predicate": "proves", "object": "we solve the anderson localization problem on a two - leg ladder by the fokker - planck equation app"}
{"subject": "math:arxiv_31583", "predicate": "proves", "object": "we state conjectures on the asymptotic behavior of the volumes of moduli spaces of abelian different"}
{"subject": "math:arxiv_31584", "predicate": "proves", "object": "witten and yau ( hep - th/9910245 ) have recently considered a generalisation of the ads / cft corre"}
{"subject": "math:arxiv_31586", "predicate": "proves", "object": "we give a proof of a conjecture of walker which states that one can recover the lengths of the bars "}
{"subject": "math:arxiv_31595", "predicate": "proves", "object": "when one considers an optimal portfolio policy under a mean - risk formulation , it is essential to "}
{"subject": "math:arxiv_31600", "predicate": "proves", "object": "we study the dynamics of the positive solutions of the exponential difference equation @xmath0    wh"}
{"subject": "math:arxiv_31611", "predicate": "proves", "object": "a class of inverse problems for a heat equation with involution perturbation is considered using fou"}
{"subject": "math:arxiv_31615", "predicate": "proves", "object": "if @xmath0 is a commutative ring , @xmath1 a compact @xmath0-oriented manifold and @xmath2 a finite "}
{"subject": "math:arxiv_31659", "predicate": "proves", "object": "we derive an analytical formula for the ionization rate of neutral atoms and molecules in a strong m"}
{"subject": "math:arxiv_31662", "predicate": "proves", "object": "we apply a model for the study of quark - hadron duality in inclusive electron scattering to the cal"}
{"subject": "math:arxiv_31687", "predicate": "proves", "object": "the dirac equation is used to describe oblique spin - conserving and spin - flip reflections of rela"}
{"subject": "math:arxiv_31690", "predicate": "proves", "object": "in @xcite , the authors consider a random walk @xmath0 with the constraint that each coordinate of t"}
{"subject": "math:arxiv_31691", "predicate": "proves", "object": "we consider singly - quantized vortex states in a condensate of @xmath0cr atoms in a pancake trap . "}
{"subject": "math:arxiv_31720", "predicate": "proves", "object": "we re - examine shatalov - sternin s proof of existence of resurgent solutions of a linear ode . \n i"}
{"subject": "math:arxiv_31747", "predicate": "proves", "object": "a practical implementation of the non - abelian stokes theorem for topologically nontrivial loops ( "}
{"subject": "math:arxiv_31750", "predicate": "proves", "object": "many recent studies on water have conjectured a complex structure composed of hydrogen bonded low- a"}
{"subject": "math:arxiv_31758", "predicate": "proves", "object": "we present the first 3d mhd study in spherical geometry of the non - linear dynamical evolution of m"}
{"subject": "math:arxiv_31770", "predicate": "proves", "object": "we construct normalizable , semi - classical states for the previously proposed model of quantum gra"}
{"subject": "math:arxiv_31785", "predicate": "proves", "object": "we study fillings of contact structures supported by planar open books by analyzing positive factori"}
{"subject": "math:arxiv_31787", "predicate": "proves", "object": "we prove that any open subset @xmath0 of a semi - simple simply connected quasi - split linear algeb"}
{"subject": "math:arxiv_31796", "predicate": "proves", "object": "starting from a path integral representation of appropriate 4-point and 2-point gauge invariant gree"}
{"subject": "math:arxiv_31803", "predicate": "proves", "object": "we employ a chiral lagrangian framework with three dynamical flavors to calculate the masses of the "}
{"subject": "math:arxiv_31812", "predicate": "proves", "object": "here i show that a classical or quantum bit state plus one simple operation , an _ action _ , are su"}
{"subject": "math:arxiv_31834", "predicate": "proves", "object": "the extended dynamical mean field equations ( edmft ) are analyzed using semiclassical methods for a"}
{"subject": "math:arxiv_31841", "predicate": "proves", "object": "as a proof of principle , we show how a classical nonlinear hamiltonian system can be driven resonan"}
{"subject": "math:arxiv_31846", "predicate": "proves", "object": "we present an overview of characteristic identities for lie algebras and superalgebras . \n we outlin"}
{"subject": "math:arxiv_31855", "predicate": "proves", "object": "we introduce a class of o.d.e.s that generalizes to polymatrix games the replicator equations on sym"}
{"subject": "math:arxiv_31902", "predicate": "proves", "object": "we have found the algebraic structure of the two - qubit quantum rabi model behind the possibility o"}
{"subject": "math:arxiv_31917", "predicate": "proves", "object": "the axisymmetric form of the hydrodynamic equations within the smoothed particle hydrodynamics ( sph"}
{"subject": "math:arxiv_31920", "predicate": "proves", "object": "in this article , we propose optimal discretization of analog filters ( or controllers ) based on th"}
{"subject": "math:arxiv_31926", "predicate": "proves", "object": "ivory s lemma is a geometrical statement in the heart of j. ivory s calculation of the gravitational"}
{"subject": "math:arxiv_31930", "predicate": "proves", "object": "by foliating the four - dimensional c - metric black hole spacetime , we consider a kind of initial "}
{"subject": "math:arxiv_31932", "predicate": "proves", "object": "despite of the topical engineering need and all scientific investments , the mathematical formulatio"}
{"subject": "math:arxiv_31949", "predicate": "proves", "object": "this paper investigates wave - equations on spacetimes with a metric which is locally analytic in th"}
{"subject": "math:arxiv_31958", "predicate": "proves", "object": "random paths are time continuous interpolations of random walks . by using littelmann path model \n ,"}
{"subject": "math:arxiv_31963", "predicate": "proves", "object": "in its customary formulation for one - component fluids , the hierarchical reference theory yields a"}
{"subject": "math:arxiv_31973", "predicate": "proves", "object": "we present a new formulation for the evaluation of the primordial spectrum of curvature perturbation"}
{"subject": "math:arxiv_31987", "predicate": "proves", "object": "we investigate the plausibility of some models emerging from an algorithm devised to generate a one "}
{"subject": "math:arxiv_31993", "predicate": "proves", "object": "we investigate the transition to self organized criticality in a two - dimensional model of a flux t"}
{"subject": "math:arxiv_32000", "predicate": "proves", "object": "the rapid collapse of a polymer , due to external forces or changes in solvent , yields a long - liv"}
{"subject": "math:arxiv_32012", "predicate": "proves", "object": "to study the three - dimensional ( 3d ) magnetic field topology and its long - term evolution associ"}
{"subject": "math:arxiv_32022", "predicate": "proves", "object": "we present an overview of a fully covariant formulation of describing the hypernuclear production wi"}
{"subject": "math:arxiv_32042", "predicate": "proves", "object": "we study the symmetric degrees - of - freedom ( dof ) of partially connected interference networks u"}
{"subject": "math:arxiv_32051", "predicate": "proves", "object": "in this paper we give the weierstrass equations for jacobian fibrations on the @xmath0 surface that "}
{"subject": "math:arxiv_32056", "predicate": "proves", "object": "by using a generalization of the multiple scales technique we develop a method to derive amplitude e"}
{"subject": "math:arxiv_32092", "predicate": "proves", "object": "we discuss an alternative non - perturbative proof of bertrand s theorem that leads in a concise way"}
{"subject": "math:arxiv_32098", "predicate": "proves", "object": "we compute one - point function of the glueball loop operator in the maximally confining phase of su"}
{"subject": "math:arxiv_32109", "predicate": "proves", "object": "in this paper , we consider two - component dark energy models in lyra manifold . the first componen"}
{"subject": "math:arxiv_32139", "predicate": "proves", "object": "we study the systematic errors of lscher s formulation of dynamical wilson quarks and some of its va"}
{"subject": "math:arxiv_32142", "predicate": "proves", "object": "we study the properties of the polyakov loop in strongly - coupled gauge plasmas that are conjecture"}
{"subject": "math:arxiv_32179", "predicate": "proves", "object": "we consider the stability in the inverse problem consisting in the determination of an electric pote"}
{"subject": "math:arxiv_32194", "predicate": "proves", "object": "we discuss the equation of motion of the rotating homogenous and isotropic model of the universe . \n"}
{"subject": "math:arxiv_32211", "predicate": "proves", "object": "an updated formulation of soft diffraction , compatible with @xmath0 and @xmath1 channel unitarity ,"}
{"subject": "math:arxiv_32220", "predicate": "proves", "object": "resummation of the chiral expansion is necessary to make accurate contact with current lattice simul"}
{"subject": "math:arxiv_32268", "predicate": "proves", "object": "it is commonly believed that area laws for entanglement entropies imply that a quantum many - body s"}
{"subject": "math:arxiv_32293", "predicate": "proves", "object": "we construct a kink solution on a non - bps d - brane using berkovits formulation of superstring fie"}
{"subject": "math:arxiv_32317", "predicate": "proves", "object": "we present an algorithm for simulating the equations of ideal magnetohydrodynamics and other systems"}
{"subject": "math:arxiv_32319", "predicate": "proves", "object": "i describe an approach which connects classical gravity with the quantum microstructure of spacetime"}
{"subject": "math:arxiv_32334", "predicate": "proves", "object": "we deal with the periodic boundary value problem for a second - order nonlinear ode which includes t"}
{"subject": "math:arxiv_32342", "predicate": "proves", "object": "averaging is an important method to extract effective macroscopic dynamics from complex systems with"}
{"subject": "math:arxiv_32345", "predicate": "proves", "object": "we study the effects of charged impurity scattering on the electronic transport properties of @xmath"}
{"subject": "math:arxiv_32367", "predicate": "proves", "object": "we have performed first principles electronic structure calculations to investigate the structural a"}
{"subject": "math:arxiv_32384", "predicate": "proves", "object": "in previous work , the numerical solution of the linearized gravitational field equations near space"}
{"subject": "math:arxiv_32397", "predicate": "proves", "object": "the signal induced by an electron on a pickup strip has been calculated in a rpc used in ino calorim"}
{"subject": "math:arxiv_32404", "predicate": "proves", "object": "the ( heterotic ) double field theories and the exceptional field theories are recently developed fo"}
{"subject": "math:arxiv_32406", "predicate": "proves", "object": "we introduce a new skein module for three manifolds based on properly embedded surfaces and their re"}
{"subject": "math:arxiv_32417", "predicate": "proves", "object": "in this paper , we obtain the isoperimetric inequality on conformally flat manifold with finite tota"}
{"subject": "math:arxiv_32425", "predicate": "proves", "object": "we present and compare third- as well as fifth - order accurate finite difference schemes for the nu"}
{"subject": "math:arxiv_32428", "predicate": "proves", "object": "suppose @xmath0 is a compact orientable @xmath1-manifold and @xmath2 a properly embedded orientable "}
{"subject": "math:arxiv_32432", "predicate": "proves", "object": "in this paper we will discuss charged stars with polytropic equation of state , where we will try to"}
{"subject": "math:arxiv_32444", "predicate": "proves", "object": "we construct the chiral perturbation theory for two - color qcd with two quark flavors as an effecti"}
{"subject": "math:arxiv_32460", "predicate": "proves", "object": "we prove an identity for hall  littlewood symmetric functions labelled by the lie algebra a@xmath0 ."}
{"subject": "math:arxiv_32494", "predicate": "proves", "object": "the stochastic liouville equations are employed to investigate the combined signatures of chemical e"}
{"subject": "math:arxiv_32496", "predicate": "proves", "object": "for asymptotically hyperbolic manifolds with hyperbolic trapped sets we prove a fractal upper bound "}
{"subject": "math:arxiv_32515", "predicate": "proves", "object": "consider a random walk on the mapping class group , and let @xmath0 be the location of the random wa"}
{"subject": "math:arxiv_32518", "predicate": "proves", "object": "we solve some famous conjectures on the distribution of primes . \n these conjectures are to be liste"}
{"subject": "math:arxiv_32548", "predicate": "proves", "object": "this paper considers dynamo action in smooth helical flows in cylindrical geometry , otherwise known"}
{"subject": "math:arxiv_32555", "predicate": "proves", "object": "we prove that a universal symmetric solution of the kashiwara - vergne conjecture is unique up to or"}
{"subject": "math:arxiv_32579", "predicate": "proves", "object": "the bannai - ito algebra is presented together with some of its applications . \n its relations with "}
{"subject": "math:arxiv_32588", "predicate": "proves", "object": "the generalized donaldson - thomas invariants counting one dimensional semistable sheaves on calabi "}
{"subject": "math:arxiv_32596", "predicate": "proves", "object": "we give an account of the construction of exterior differential systems based on the notion of table"}
{"subject": "math:arxiv_32597", "predicate": "proves", "object": "we present a new semiclassical theory for describing pairing in finite fermi systems . \n it is based"}
{"subject": "math:arxiv_32643", "predicate": "proves", "object": "we study the stability and dynamics of an ultra - cold bosonic gas trapped in a toroidal geometry an"}
{"subject": "math:arxiv_32650", "predicate": "proves", "object": "investigating for interior regularity of viscosity solutions to the fully nonlinear elliptic equatio"}
{"subject": "math:arxiv_32684", "predicate": "proves", "object": "we investigate the lowest weight representations of the super schrdinger algebras introduced by duva"}
{"subject": "math:arxiv_32687", "predicate": "proves", "object": "in this paper , we study the structural properties of the complex bus network of chennai . \n we form"}
{"subject": "math:arxiv_32696", "predicate": "proves", "object": "we formulate a numerical method to solve the porous medium type equation with fractional diffusion @"}
{"subject": "math:arxiv_32714", "predicate": "proves", "object": "we prove a conjecture by divincenzo , which in the terminology of preskill et al . \n [ quant - ph/01"}
{"subject": "math:arxiv_32723", "predicate": "proves", "object": "we consider a josephson junction system installed with a finite length inhomogeneity , either of mic"}
{"subject": "math:arxiv_32735", "predicate": "proves", "object": "we calculate the bispectrum of the cosmic microwave background ( cmb ) temperature anisotropies indu"}
{"subject": "math:arxiv_32776", "predicate": "proves", "object": "we present a multi - site formulation of mean - field theory applied to the disordered bose - hubbar"}
{"subject": "math:arxiv_32789", "predicate": "proves", "object": "to approximate convolutions which occur in evolution equations with memory terms , a variable - step"}
{"subject": "math:arxiv_32793", "predicate": "proves", "object": "coupled partial differential equation ( pde ) systems , which often represent multi - physics models"}
{"subject": "math:arxiv_32822", "predicate": "proves", "object": "we obtain in exact arithmetic the order 24 linear differential operator @xmath0 and right hand side "}
{"subject": "math:arxiv_32827", "predicate": "proves", "object": "we present an analysis of the feynman path centroid density that provides new insight into the corre"}
{"subject": "math:arxiv_32829", "predicate": "proves", "object": "the time dependent schrdinger equation for two identical and charged pions is solved using wavepacke"}
{"subject": "math:arxiv_32848", "predicate": "proves", "object": "an eigenfunction expansion method involving hypergeometric functions is used to solve the partial di"}
{"subject": "math:arxiv_32866", "predicate": "proves", "object": "employing new precision data of the equation of state of the su(3 ) yang - mills theory ( gluon plas"}
{"subject": "math:arxiv_32868", "predicate": "proves", "object": "the improvement of fermionic operators for ginsparg - wilson fermions is investigated . \n we present"}
{"subject": "math:arxiv_32876", "predicate": "proves", "object": "numerous codes are being developed to solve shallow water equations . because there are used in hydr"}
{"subject": "math:arxiv_32884", "predicate": "proves", "object": "the four - body equations of alt , grassberger and sandhas are solved for @xmath0 scattering at ener"}
{"subject": "math:arxiv_32902", "predicate": "proves", "object": "we report an anomalous decoherence phenomenon of a quantum dissipative system in the framework of a "}
{"subject": "math:arxiv_32906", "predicate": "proves", "object": "a stochastic heat equation on @xmath0\\times{\\mathbb r}$ ] driven by a general stochastic measure @xm"}
{"subject": "math:arxiv_32908", "predicate": "proves", "object": "continuous spontaneous localization ( csl ) model of quantum mechanics modifies schrdinger equation "}
{"subject": "math:arxiv_32917", "predicate": "proves", "object": "it is often conjectured that a choice of time function merely sets up a frame for the quantum evolut"}
{"subject": "math:arxiv_32918", "predicate": "proves", "object": "we study the nonhomogeneous boundary value problem for navier  stokes equations of steady motion of "}
{"subject": "math:arxiv_32919", "predicate": "proves", "object": "divisibility monoids ( garside monoids ) are a natural algebraic generalization of mazurkiewicz trac"}
{"subject": "math:arxiv_32923", "predicate": "proves", "object": "we investigate the strong asymptotics of heine - stieltjes polynomials  polynomial solutions of a se"}
{"subject": "math:arxiv_32930", "predicate": "proves", "object": "forty years ago richardson showed that the eigenstates of the pairing hamiltonian with constant inte"}
{"subject": "math:arxiv_32950", "predicate": "proves", "object": "i discuss two of edward teller s contributions to nuclear physics , the introduction of the gamow - "}
{"subject": "math:arxiv_32952", "predicate": "proves", "object": "we present a class of exact solutions of einstein s gravitational field equations describing spheric"}
{"subject": "math:arxiv_32958", "predicate": "proves", "object": "we extend elitzur s theorem to systems with symmetries intermediate between global and local . in ge"}
{"subject": "math:arxiv_32960", "predicate": "proves", "object": "a thorough understanding of many astrophysical phenomena associated with compact objects requires re"}
{"subject": "math:arxiv_32985", "predicate": "proves", "object": "we study the effect of retardation of gravity in binary pulsars . \n it appears in pulsar timing form"}
{"subject": "math:arxiv_32991", "predicate": "proves", "object": "based on the peregrine solution ( ps ) of the nonlinear schrdinger ( nls ) equation , the evolution "}
{"subject": "math:arxiv_33003", "predicate": "proves", "object": "by generalising the cosymplectic setting for time - dependent lagrangian mechanics , we propose a ge"}
{"subject": "math:arxiv_33011", "predicate": "proves", "object": "we establish necessary optimality conditions for variational problems with an action depending on th"}
{"subject": "math:arxiv_33043", "predicate": "proves", "object": "we propose a novel variational principle in electrostatics and show that one can derive mirror equat"}
{"subject": "math:arxiv_33075", "predicate": "proves", "object": "this article is concerned with the integration of the time - dependent ginzburg \n landau ( tdgl ) eq"}
{"subject": "math:arxiv_33091", "predicate": "proves", "object": "we study a fokker - planck equation with double - well potential that is nonlocally driven by a dyna"}
{"subject": "math:arxiv_33096", "predicate": "proves", "object": "we consider the formation of photon spectrum at the photosphere of ultrarelativistically expanding o"}
{"subject": "math:arxiv_33103", "predicate": "proves", "object": "we derive limit theorems for the empirical distribution function of `` devolatilized '' increments o"}
{"subject": "math:arxiv_33108", "predicate": "proves", "object": "in this paper we investigate the porous medium equation with a fractional temporal derivative . \n we"}
{"subject": "math:arxiv_33124", "predicate": "proves", "object": "the dependence of the dressed quark propagator on the quark chemical potential is investigated in va"}
{"subject": "math:arxiv_33139", "predicate": "proves", "object": "a new geometric method to determine the deflection of light in the equatorial plane of the kerr solu"}
{"subject": "math:arxiv_33140", "predicate": "proves", "object": "we derive and solve exactly the dyer - roeder equation in a friedman robertson walker cosmological m"}
{"subject": "math:arxiv_33147", "predicate": "proves", "object": "we will present and study an algebra describing a mixed paraparticle model , known in the bibliograp"}
{"subject": "math:arxiv_33148", "predicate": "proves", "object": "families of perelomov coherent states are defined axiomatically in the context of unitary representa"}
{"subject": "math:arxiv_33152", "predicate": "proves", "object": "using the method of c. vrs , we establish results on hyperbolic plane geometry , related to triangle"}
{"subject": "math:arxiv_33165", "predicate": "proves", "object": "in the context of the pre - big bang scenario of string cosmology , we propose a modified equation f"}
{"subject": "math:arxiv_33167", "predicate": "proves", "object": "we analyze pion nucleon scattering up to @xmath0 mev using a simple , relativistic , unitary model@x"}
{"subject": "math:arxiv_33182", "predicate": "proves", "object": "we establish central and local limit theorems for the number of vertices in the largest component of"}
{"subject": "math:arxiv_33196", "predicate": "proves", "object": "we prove two lemmata about schubert calculus on generalized flag manifolds @xmath0 , and in the case"}
{"subject": "math:arxiv_33199", "predicate": "proves", "object": "in @xcite klainerman introduced the hyperboloidal method to prove the global existence results for n"}
{"subject": "math:arxiv_33206", "predicate": "proves", "object": "we consider the dynamics towards the initial singularity of bianchi type  ix vacuum and orthogonal p"}
{"subject": "math:arxiv_33211", "predicate": "proves", "object": "we give a detailed proof for two discrete analogues of courant s nodal domain theorem .    ,    , an"}
{"subject": "math:arxiv_33217", "predicate": "proves", "object": "in this work , we apply the adaptive discontinuous galerkin ( dgafem ) method to the convection domi"}
{"subject": "math:arxiv_33219", "predicate": "proves", "object": "a straightforward algorithm for the symbolic computation of higher - order symmetries of nonlinear e"}
{"subject": "math:arxiv_33227", "predicate": "proves", "object": "we investigate rational homology cobordisms of 3-manifolds with non - zero first betti number . \n th"}
{"subject": "math:arxiv_33240", "predicate": "proves", "object": "solutions of gravitational equations of gauge theories of gravity in homogeneous isotropic world wit"}
{"subject": "math:arxiv_33268", "predicate": "proves", "object": "we consider an expanding relativistic fluid with spherical symmetry as a model for an analog friedma"}
{"subject": "math:arxiv_33270", "predicate": "proves", "object": "empirical studies show that preference for prevention versus treatment remains a subject of debate ."}
{"subject": "math:arxiv_33277", "predicate": "proves", "object": "a broadband technique for robust adiabatic rotation and conversion of light polarization is proposed"}
{"subject": "math:arxiv_33289", "predicate": "proves", "object": "we show that the geometric phase of the gyro - motion of a classical charged particle in a uniform t"}
{"subject": "math:arxiv_33294", "predicate": "proves", "object": "a parabolic subalgebra @xmath0 of a complex semisimple lie algebra @xmath1 is called a parabolic sub"}
{"subject": "math:arxiv_33296", "predicate": "proves", "object": "the production of charmonium in heavy - ion collisions is investigated based on boltzmann - type tra"}
{"subject": "math:arxiv_33307", "predicate": "proves", "object": "we study regularization methods for solving ill  posed operator equations where the solutions are ta"}
{"subject": "math:arxiv_33312", "predicate": "proves", "object": "the conditions of thermodynamic equilibrium , local thermodynamic equilibrium , and statistical equi"}
{"subject": "math:arxiv_33321", "predicate": "proves", "object": "this paper is the first attempt to systematically study properties of the effective hamiltonian @xma"}
{"subject": "math:arxiv_33329", "predicate": "proves", "object": "the multi - shifted linear systems with non - hermitian matrices often arise from the numerical solu"}
{"subject": "math:arxiv_33351", "predicate": "proves", "object": "we show that , when a single relaxation time lattice boltzmann algorithm is used to solve the hydrod"}
{"subject": "math:arxiv_33357", "predicate": "proves", "object": "a propagation scheme for time - dependent inhomogeneous schrdinger equations is presented . \n such e"}
{"subject": "math:arxiv_33367", "predicate": "proves", "object": "up to isomorphism there are six fixed - point free crystallographic groups in euclidean space genera"}
{"subject": "math:arxiv_33387", "predicate": "proves", "object": "we consider solutions @xmath0 to the 3d nonlinear schrdinger equation @xmath1 . \n in particular , we"}
{"subject": "math:arxiv_33394", "predicate": "proves", "object": "the geometry of freedman - roberston - walker cosmological models is fixed by the mass density param"}
{"subject": "math:arxiv_33398", "predicate": "proves", "object": "a new generalized wick theorem for interacting fields in 2d conformal field theory is described . \n "}
{"subject": "math:arxiv_33407", "predicate": "proves", "object": "we define cuspidal curvature @xmath0 along cuspidal edges in riemannian @xmath1-manifolds , and show"}
{"subject": "math:arxiv_33413", "predicate": "proves", "object": "`` warp drive '' spacetimes are useful as `` gedanken - experiments '' that force us to confront the"}
{"subject": "math:arxiv_33421", "predicate": "proves", "object": "in this paper we represent @xmath0dimensional discrete taxicab geometry by base(@xmath1 ) numeral sy"}
{"subject": "math:arxiv_33427", "predicate": "proves", "object": "we construct quasitoric manifolds of dimension 6 and higher which are not equivariantly homeomorphic"}
{"subject": "math:arxiv_33439", "predicate": "proves", "object": "the representation of integral binary forms as sums of two squares is discussed and applied to estab"}
{"subject": "math:arxiv_33448", "predicate": "proves", "object": "the effect of the kerr nonlinearity on linear non - diffractive bessel beams is investigated analyti"}
{"subject": "math:arxiv_33451", "predicate": "proves", "object": "we prove that the hyperelliptic torelli group is generated by dehn twists about separating curves th"}
{"subject": "math:arxiv_33454", "predicate": "proves", "object": "* background : * the observed mass excesses of analog nuclear states with the same mass number @xmat"}
{"subject": "math:arxiv_33513", "predicate": "proves", "object": "we consider ordinary differential equations on the unit simplex of @xmath0 that naturally occur in p"}
{"subject": "math:arxiv_33516", "predicate": "proves", "object": "nuclear cluster physics implicitly assumes a distinction between groups of degrees - of - freedom , "}
{"subject": "math:arxiv_33532", "predicate": "proves", "object": "we apply the time dependent ginzburg - landau equations ( tdgl ) to study small ac currents of frequ"}
{"subject": "math:arxiv_33534", "predicate": "proves", "object": "in this paper we derive the integral equations for radially and polygonally arranged high - temperat"}
{"subject": "math:arxiv_33543", "predicate": "proves", "object": "via a dirichlet form extension theorem and making full use of two - sided heat kernel estimates , we"}
{"subject": "math:arxiv_33584", "predicate": "proves", "object": "we first provide a formula to calculate the probability of occurrence of different configurations ( "}
{"subject": "math:arxiv_33641", "predicate": "proves", "object": "we prove a `` tverberg type '' multiple intersection theorem . \n it strengthens the prime case of th"}
{"subject": "math:arxiv_33677", "predicate": "proves", "object": "we analyze the entropic equation of state for a many - particle interacting system in a scale - free"}
{"subject": "math:arxiv_33684", "predicate": "proves", "object": "this paper adapts the techniques of finite element exterior calculus to study and discretize the abs"}
{"subject": "math:arxiv_33749", "predicate": "proves", "object": "a hamiltonian decomposition of @xmath0 is a partition of its edge set into disjoint hamilton cycles "}
{"subject": "math:arxiv_33751", "predicate": "proves", "object": "we analyze a system of three two - dimensional nonlinear schrdinger equations coupled by linear term"}
{"subject": "math:arxiv_33752", "predicate": "proves", "object": "this work is devoted to the formulation and derivation of the @xmath0gamma distribution which corres"}
{"subject": "math:arxiv_33760", "predicate": "proves", "object": "we prove that the contact structures on @xmath0 induced by non - homotopic stein structures on the 4"}
{"subject": "math:arxiv_33762", "predicate": "proves", "object": "in this paper the time dependence of g is presented . \n it is a simple consequence of the virial the"}
{"subject": "math:arxiv_33773", "predicate": "proves", "object": "we consider two kinds of periodicities of mutations in cluster algebras . for any sequence of mutati"}
{"subject": "math:arxiv_33775", "predicate": "proves", "object": "this preliminary report contains a sketch of the proof of the following result : a slowly divergent "}
{"subject": "math:arxiv_33779", "predicate": "proves", "object": "we consider periodic and quasi - periodic solutions of the three - body problem with homogeneous pot"}
{"subject": "math:arxiv_33784", "predicate": "proves", "object": "in this article we study the geodesic motion of test particles and light in the einstein - maxwell -"}
{"subject": "math:arxiv_33814", "predicate": "proves", "object": "in this letter , the renormalization - group equations for the ( flavor - conserving ) cp - violatin"}
{"subject": "math:arxiv_33838", "predicate": "proves", "object": "a semiclassical theory of linear response in finite fermi systems , based on the vlasov equation , a"}
{"subject": "math:arxiv_33852", "predicate": "proves", "object": "let @xmath0 be a weakly reducible , unstabilized , genus three heegaard splitting in an orientable ,"}
{"subject": "math:arxiv_33856", "predicate": "proves", "object": "let @xmath0 be a complete noncompact manifold and @xmath1 an asymptotically conic riemaniann metric "}
{"subject": "math:arxiv_33860", "predicate": "proves", "object": "we give a coalgebra structure on 1-vertex irreducible graphs which is that of a cocommutative coasso"}
{"subject": "math:arxiv_33863", "predicate": "proves", "object": "the electromagnetic form factors of the nucleon are calculated at order @xmath0 in the relativistic "}
{"subject": "math:arxiv_33864", "predicate": "proves", "object": "reaction - diffusion equations deliver a versatile tool for the description of reactions in inhomoge"}
{"subject": "math:arxiv_33877", "predicate": "proves", "object": "an analytical approach to quantum mechanical wave packet dynamics of laser - driven particles is pre"}
{"subject": "math:arxiv_33887", "predicate": "proves", "object": "exact stationary solutions of the electron - photon dirac equation are obtained to describe the stro"}
{"subject": "math:arxiv_33902", "predicate": "proves", "object": "we study baxter s t - q equation of xxx spin - chain models under the semiclassical limit where an i"}
{"subject": "math:arxiv_33905", "predicate": "proves", "object": "in this paper the formulae are collected which are needed for the computation of the strong coupling"}
{"subject": "math:arxiv_33908", "predicate": "proves", "object": "this paper focuses on interior penalty discontinuous galerkin methods for second order elliptic equa"}
{"subject": "math:arxiv_33917", "predicate": "proves", "object": "motivated by experimental and theoretical work on autonomous oscillations in yeast , we analyze ordi"}
{"subject": "math:arxiv_33919", "predicate": "proves", "object": "we study the transport of energy in a finite linear harmonic chain by solving the heisenberg equatio"}
{"subject": "math:arxiv_33920", "predicate": "proves", "object": "the corrections of gluon fusion to the dglap and bfkl equations are discussed in a united partonic f"}
{"subject": "math:arxiv_33925", "predicate": "proves", "object": "a spin - isospin dependent three - dimensional approach based on momentum vectors for formulation of"}
{"subject": "math:arxiv_33938", "predicate": "proves", "object": "the viability of the variable generalised chaplygin gas ( vgcg ) model is analysed from the standpoi"}
{"subject": "math:arxiv_33953", "predicate": "proves", "object": "there is an equation relating numbers of curves on @xmath0 satisfying incidence conditions and numbe"}
{"subject": "math:arxiv_33978", "predicate": "proves", "object": "the system of hydrodynamic - type equations is derived from alexeev s generalized boltzmann kinetic "}
{"subject": "math:arxiv_34002", "predicate": "proves", "object": "the recently proposed eight - component relativistic wave equation is applied to the scattering of a"}
{"subject": "math:arxiv_34009", "predicate": "proves", "object": "in this paper we extend two limit theorems which were recently obtained for fragmentation processes "}
{"subject": "math:arxiv_34012", "predicate": "proves", "object": "a variational formulation for the calculation of interacting fermion systems based on the density - "}
{"subject": "math:arxiv_34057", "predicate": "proves", "object": "we discuss correspondence between the predictions of quantum theories for rotation angle formulated "}
{"subject": "math:arxiv_34059", "predicate": "proves", "object": "repeating patterns of spike sequences from a neuronal network have been proposed to be useful in the"}
{"subject": "math:arxiv_34083", "predicate": "proves", "object": "we discuss an approach to obtaining black hole quasinormal modes ( qnms ) using the asymptotic itera"}
{"subject": "math:arxiv_34091", "predicate": "proves", "object": "* in a topological insulator , it is the electrons on the surface or edge that carry the signature o"}
{"subject": "math:arxiv_34099", "predicate": "proves", "object": "we consider a semiconductor quantum well in a microcavity driven by coherent light and coupled to a "}
{"subject": "math:arxiv_34101", "predicate": "proves", "object": "in order to estimate the effect of dynamical gluons to chiral condensate , the gap equation of @xmat"}
{"subject": "math:arxiv_34122", "predicate": "proves", "object": "we formulate and analyze the steady - state behavior of totally asymmetric simple exclusion processe"}
{"subject": "math:arxiv_34132", "predicate": "proves", "object": "this report deals with the quantum field theory of particle oscillations in vacuum . \n we first revi"}
{"subject": "math:arxiv_34143", "predicate": "proves", "object": "a mechanical model was developed to describe the behaviour of a device able to transform vibrations "}
{"subject": "math:arxiv_34155", "predicate": "proves", "object": "including contributions of scale - dependent vacuum expectation values , we derive new analytic form"}
{"subject": "math:arxiv_34168", "predicate": "proves", "object": "we analyse the dispersion relation of ripplons , on the surface of superfluid helium , using the dis"}
{"subject": "math:arxiv_34169", "predicate": "proves", "object": "we present results of numerical computations of quasiequilibrium sequences of binary neutron stars w"}
{"subject": "math:arxiv_34181", "predicate": "proves", "object": "the shear viscosity @xmath0 for a dilute classical gas of hard - sphere particles is calculated by s"}
{"subject": "math:arxiv_34184", "predicate": "proves", "object": "we shall propose and analyze some new preconditioners for the saddle - point systems arising from th"}
{"subject": "math:arxiv_34197", "predicate": "proves", "object": "we present an updated analysis of the quark mass dependence of the nucleon mass @xmath0 and nucleon "}
{"subject": "math:arxiv_34204", "predicate": "proves", "object": "we analyze the problem of approximate quantum cloning when the quantum state is between two latitude"}
{"subject": "math:arxiv_34210", "predicate": "proves", "object": "in this paper we describe two different parametrizations of field equations in the @xmath0 theories "}
{"subject": "math:arxiv_34237", "predicate": "proves", "object": "in this paper , we present numerical methods to implement the probabilistic representation of third "}
{"subject": "math:arxiv_34256", "predicate": "proves", "object": "the explicit form of the interface equation of motion derived assuming a minimal surface is extended"}
{"subject": "math:arxiv_34266", "predicate": "proves", "object": "employing a medium - dependent quantum optics formalism and a green function solution of maxwell s e"}
{"subject": "math:arxiv_34275", "predicate": "proves", "object": "we discuss the theory and phenomenology of the interplay between the massless graviton and its massi"}
{"subject": "math:arxiv_34285", "predicate": "proves", "object": "based on symmetry consideration of migration and shape deformations , we formulate phenomenologicall"}
{"subject": "math:arxiv_34314", "predicate": "proves", "object": "lrs ( locally rotationally symmetric ) bianchi type - i magnetized strange quark matter cosmological"}
{"subject": "math:arxiv_34334", "predicate": "proves", "object": "backgrounds depending on time and on  angular \" variable , namely polarized and unpolarized @xmath0 "}
{"subject": "math:arxiv_34340", "predicate": "proves", "object": "in this paper , we use singularity theory to study the entanglement nature of pure three - qutrit sy"}
{"subject": "math:arxiv_34356", "predicate": "proves", "object": "let @xmath0 be a two dimensional complex manifold , @xmath1 and a germ of holomorphic foliation of a"}
{"subject": "math:arxiv_34359", "predicate": "proves", "object": "we investigate oscillating solutions of the equation of motion for the higgs potential . \n the solut"}
{"subject": "math:arxiv_34361", "predicate": "proves", "object": "in this paper we study certain fundamental and distinguished subsets of weights of an arbitrary high"}
{"subject": "math:arxiv_34377", "predicate": "proves", "object": "we employ the lattice qcd data on taylor expansion coefficients up to sixth order to construct an eq"}
{"subject": "math:arxiv_34391", "predicate": "proves", "object": "in quantum physics , disturbance due to a measurement is not negligible . \n this requires the time p"}
{"subject": "math:arxiv_34403", "predicate": "proves", "object": "we adapt the statistical mechanics of the shallow - water equations to the case where the flow is fo"}
{"subject": "math:arxiv_34413", "predicate": "proves", "object": "since the discovery of the original millisecond pulsar , no pulsars with a shorter spin period ( p@x"}
{"subject": "math:arxiv_34416", "predicate": "proves", "object": "results are presented for the occupation probabilities and current densities of bulk and edge states"}
{"subject": "math:arxiv_34419", "predicate": "proves", "object": "motivated by recent study of the convergence of calabi flow near a constant scalar curvature khler m"}
{"subject": "math:arxiv_34425", "predicate": "proves", "object": "we consider non - binary product codes with mds components and their iterative row - column algebrai"}
{"subject": "math:arxiv_34432", "predicate": "proves", "object": "we define a new hurwitz problem which is essentially a small core of the simple hurwitz problem . \n "}
{"subject": "math:arxiv_34434", "predicate": "proves", "object": "using a thermodynamic approach based upon the fluctuation - dissipation theorem we quantify the stoc"}
{"subject": "math:arxiv_34465", "predicate": "proves", "object": "we propose a new dark energy parametrization based on the dynamics of a scalar field . \n we use an e"}
{"subject": "math:arxiv_34466", "predicate": "proves", "object": "suppose that @xmath0 are simply connected closed exotic 4-manifolds . \n it is well - known that @xma"}
{"subject": "math:arxiv_34505", "predicate": "proves", "object": "we study the propagation of regularity of solutions to a three dimensional system of linear paraboli"}
{"subject": "math:arxiv_34506", "predicate": "proves", "object": "the problem of describing the behavior of the solutions to the navier - stokes equations in three sp"}
{"subject": "math:arxiv_34531", "predicate": "proves", "object": "we consider an example of a quantum algorithm from the point of view of the de broglie - bohm formul"}
{"subject": "math:arxiv_34541", "predicate": "proves", "object": "dynamic behavior of an isotropic ashkin - teller model in the presence of a periodically oscillating"}
{"subject": "math:arxiv_34555", "predicate": "proves", "object": "cosmic string networks , cosmology the evolution of cosmic string networks is an interesting dynamic"}
{"subject": "math:arxiv_34560", "predicate": "proves", "object": "analytic solutions to the time - dependent schrdinger equation for cutoff wave initial conditions ar"}
{"subject": "math:arxiv_34564", "predicate": "proves", "object": "the euclidean log convex density theorem , proved by gregory chambers in 2015 , asserts that in eucl"}
{"subject": "math:arxiv_34570", "predicate": "proves", "object": "we perform a linear stability analysis of a dust layer in a turbulent gas disk . youdin ( 2011 ) inv"}
{"subject": "math:arxiv_34572", "predicate": "proves", "object": "in this work we study local oscillations in delay differential equations with a frequency domain met"}
{"subject": "math:arxiv_34584", "predicate": "proves", "object": "it has been known for some time that the cosmological friedmann equation deduced from general relati"}
{"subject": "math:arxiv_34591", "predicate": "proves", "object": "we resolve a conjecture of hegarty regarding the number of edges in the square of a regular graph . "}
{"subject": "math:arxiv_34594", "predicate": "proves", "object": "let @xmath0 with lexicographic ordering . \n @xmath1 is a totally ordered group . \n let @xmath2 . \n t"}
{"subject": "math:arxiv_34601", "predicate": "proves", "object": "we prove the decoration theorem for the mandelbrot set ( and multibrot sets ) which says that when a"}
{"subject": "math:arxiv_34603", "predicate": "proves", "object": "a recently developed three - dimensional faddeev integral equations for three - nucleon bound state "}
{"subject": "math:arxiv_34609", "predicate": "proves", "object": "using a n - dimensional general spacetime and variable extra dimensional spacetime , we achieve its "}
{"subject": "math:arxiv_34617", "predicate": "proves", "object": "we present an exact solution of the averaged einstein s field equations in the presence of two real "}
{"subject": "math:arxiv_34618", "predicate": "proves", "object": "we study asymptotics of the recurrence coefficients of orthogonal polynomials associated to the gene"}
{"subject": "math:arxiv_34628", "predicate": "proves", "object": "we propose a discretisation scheme based on the dirac - khler formalism ( dk ) in which the algebrai"}
{"subject": "math:arxiv_34640", "predicate": "proves", "object": "we introduce and study a special class of ideals , called tropical ideals , in the semiring of tropi"}
{"subject": "math:arxiv_34663", "predicate": "proves", "object": "in this paper we study the gevrey smoothing effect of solutions to the non - cutoff spatially homoge"}
{"subject": "math:arxiv_34667", "predicate": "proves", "object": "we enhance the biquandle counting invariant using elements of truncated biquandle - labeled polyak a"}
{"subject": "math:arxiv_34669", "predicate": "proves", "object": "motivated by the paper ( beals , sattinger and szmigielski , adv . \n math . 154 \n ( 2000 ) 229257 ) "}
{"subject": "math:arxiv_34674", "predicate": "proves", "object": "in this paper we study the effects of white - noised potentials on nonlinear quantum tunneling . \n w"}
{"subject": "math:arxiv_34680", "predicate": "proves", "object": "inspired by a previous work by mcclure and dyer ( _ class . \n quantum grav . _ * 23 * , 1971 ( 2006 "}
{"subject": "math:arxiv_34685", "predicate": "proves", "object": "we study the motion of spinning test particles in kerr spacetime using the mathisson - papapetrou eq"}
{"subject": "math:arxiv_34695", "predicate": "proves", "object": "linear statistics of eigenvalues in many familiar classes of random matrices are known to obey gauss"}
{"subject": "math:arxiv_34711", "predicate": "proves", "object": "we fill in the hole  in the exceptional series of lie algebras that was observed by cvitanovic , del"}
{"subject": "math:arxiv_34753", "predicate": "proves", "object": "a symmetry preserving framework for the study of continuum quantum chromodynamics ( qcd ) is obtaine"}
{"subject": "math:arxiv_34760", "predicate": "proves", "object": "the classical and quantum model of high spin particles within the manifestly covariant framework . \n"}
{"subject": "math:arxiv_34768", "predicate": "proves", "object": "we discuss geometric integrability of hirota s discrete kp equation in the framework of projective g"}
{"subject": "math:arxiv_34775", "predicate": "proves", "object": "we present the basic equations for stationary , incompressible resistive mhd flows in two dimensions"}
{"subject": "math:arxiv_34781", "predicate": "proves", "object": "the problem of wave disturbance propagation in rarefied gas in gravity field is explored . \n the sys"}
{"subject": "math:arxiv_34793", "predicate": "proves", "object": "we investigate the time evolution of the quantum meson modes in the late time of chiral phase transi"}
{"subject": "math:arxiv_34808", "predicate": "proves", "object": "for a cosmological randall - sundrum braneworld with anisotropy , i.e. , of bianchi type , the modif"}
{"subject": "math:arxiv_34812", "predicate": "proves", "object": "the extremely local electric field enhancement and light confinement is demonstrated in dielectric w"}
{"subject": "math:arxiv_34813", "predicate": "proves", "object": "we consider stationary , axisymmetric hydrodynamic accretion flows in kerr geometry . as a plausible"}
{"subject": "math:arxiv_34818", "predicate": "proves", "object": "a nonconstructive proof can be used to prove the existence of an object with some properties without"}
{"subject": "math:arxiv_34841", "predicate": "proves", "object": "the paper is devoted to the study of two - parametric families of dirichlet problems for systems of "}
{"subject": "math:arxiv_34866", "predicate": "proves", "object": "in this paper we focus on the interplay between geometry defects and topological properties in boson"}
{"subject": "math:arxiv_34877", "predicate": "proves", "object": "we develop a method for multidimensional optimization using flow equations . \n this method is based "}
{"subject": "math:arxiv_34878", "predicate": "proves", "object": "we discuss the derivation of an equivalent _ l_-independent polarization potential for use in the op"}
{"subject": "math:arxiv_34904", "predicate": "proves", "object": "by using relations derived from renormalization group equations ( rges ) , we find that strong indir"}
{"subject": "math:arxiv_34905", "predicate": "proves", "object": "we present several recent developments on elsv - type formulae and topological recursion concerning "}
{"subject": "math:arxiv_34922", "predicate": "proves", "object": "assuming that the nucleus can be treated as a perfect fluid we study the conditions for the formatio"}
{"subject": "math:arxiv_34938", "predicate": "proves", "object": "in this paper we have shown without assuming the four color theorem of planar graphs that every ( br"}
{"subject": "math:arxiv_34942", "predicate": "proves", "object": "in this paper a length - conserving numerical scheme for a nonlinear fourth order system of partial "}
{"subject": "math:arxiv_34948", "predicate": "proves", "object": "the notions of permutable and weak - permutable convergence of a series @xmath0 of real numbers are "}
{"subject": "math:arxiv_34954", "predicate": "proves", "object": "blackbox algorithms for linear algebra problems start with projection of the sequence of powers of a"}
{"subject": "math:arxiv_34955", "predicate": "proves", "object": "we compare two different models of noncommutative geometry of the cyclotomic tower , both based on a"}
{"subject": "math:arxiv_34956", "predicate": "proves", "object": "we show that in a turbulent flow transporting suspended sediment , the unsaturated sediment flux @xm"}
{"subject": "math:arxiv_34961", "predicate": "proves", "object": "we begin with a short presentation of the basic concepts related to lie groupoids and lie algebroids"}
{"subject": "math:arxiv_34965", "predicate": "proves", "object": "the kam theorem for analytic quasi - integrable anisochronous hamiltonian systems yields that the pe"}
{"subject": "math:arxiv_34969", "predicate": "proves", "object": "in this paper we prove a conjecture of b.  shoikhet which claims that two quantization procedures ar"}
{"subject": "math:arxiv_34971", "predicate": "proves", "object": "constraints are found on the spatial variation of finite - time lyapunov exponents of two- and three"}
{"subject": "math:arxiv_34973", "predicate": "proves", "object": "rational double points are the simplest surface singularities . in this essay \n we will be mainly co"}
{"subject": "math:arxiv_34975", "predicate": "proves", "object": "we analyze the structure of co - invariant subspaces for representations of the cuntz algebras @xmat"}
{"subject": "math:arxiv_34977", "predicate": "proves", "object": "we solve the one - dimensional poisson equation along a magnetic field line , both analytically and "}
{"subject": "math:arxiv_34982", "predicate": "proves", "object": "the quest for the nuclear equation of state ( eos ) at high densities and/or extreme isospin is one "}
{"subject": "math:arxiv_34985", "predicate": "proves", "object": "recently , a remarkable correspondence has been unveiled between a certain class of ordinary linear "}
{"subject": "math:arxiv_34994", "predicate": "proves", "object": "a model for the longitudinal structure function @xmath0 in the region of low @xmath1 and low @xmath2"}
{"subject": "math:arxiv_35009", "predicate": "proves", "object": "in this article , we present some explicit solutions showing rough dependence upon initial data \n . "}
{"subject": "math:arxiv_35024", "predicate": "proves", "object": "we use the cubic complex ginzburg - landau equation coupled to a dissipative linear equation as a mo"}
{"subject": "math:arxiv_35029", "predicate": "proves", "object": "in this paper we analyze the convergence properties of two - level and w - cycle multigrid solvers f"}
{"subject": "math:arxiv_35035", "predicate": "proves", "object": "we investigate how the accuracy and stability of numerical relativity simulations of 1d colliding pl"}
{"subject": "math:arxiv_35037", "predicate": "proves", "object": "since 2010 , the yale physics department has offered a novel calculus - based introductory physics f"}
{"subject": "math:arxiv_35053", "predicate": "proves", "object": "studied here is the effect of the presence of symmetry groups in a system of algebraic equations on "}
{"subject": "math:arxiv_35064", "predicate": "proves", "object": "in this review we demonstrate how the algebraic bethe ansatz is used for the calculation of the ener"}
{"subject": "math:arxiv_35092", "predicate": "proves", "object": "24 pt causality alone suffices to set a lower bound on the period of rotation of relativistic stars "}
{"subject": "math:arxiv_35128", "predicate": "proves", "object": "a method is presented that enables to compute the parameters of matched beams with space charge in c"}
{"subject": "math:arxiv_35151", "predicate": "proves", "object": "0.4 cm the understanding of the large - scale structure formation requires the resolution of coupled"}
{"subject": "math:arxiv_35173", "predicate": "proves", "object": "we generalize stembridge s enriched @xmath0-partitions and use this theory to outline the structure "}
{"subject": "math:arxiv_35175", "predicate": "proves", "object": "given a 2-satformula @xmath0 consisting of @xmath1 variables and @xmath2 random clauses , what is th"}
{"subject": "math:arxiv_35176", "predicate": "proves", "object": "a class of surface hopping algorithms is studied comparing two recent landau - zener ( lz ) formulas"}
{"subject": "math:arxiv_35194", "predicate": "proves", "object": "after explaining the physical origin of the quasinormal modes of perturbations in the background geo"}
{"subject": "math:arxiv_35218", "predicate": "proves", "object": "following v.  drinfeld and g.  olshansky , we construct manin triples @xmath0 such that @xmath1 is d"}
{"subject": "math:arxiv_35219", "predicate": "proves", "object": "the fractional fokker  planck equation ( ffpe ) [ r. metzler , e. barkai , j. klafter _ phys . \n rev"}
{"subject": "math:arxiv_35227", "predicate": "proves", "object": "by using a reductive perturbation technique applied to a two - level model , a generic two - dimensi"}
{"subject": "math:arxiv_35262", "predicate": "proves", "object": "we discuss the rigidity ( or lack thereof ) imposed by different notions of having an abundance of z"}
{"subject": "math:arxiv_35264", "predicate": "proves", "object": "solutions of a kinetic equation are investigated which describe , on a nonperturbative basis , the v"}
{"subject": "math:arxiv_35330", "predicate": "proves", "object": "the non  resonant two  photon ionization of hydrogen  like ions is studied in second \n order perturb"}
{"subject": "math:arxiv_35362", "predicate": "proves", "object": "we define essential and strongly essential triangulations of @xmath0manifolds , and give four constr"}
{"subject": "math:arxiv_35376", "predicate": "proves", "object": "by employing a boltzmann transport equation and using an energy and size dependent relaxation time ("}
{"subject": "math:arxiv_35382", "predicate": "proves", "object": "it is well - known that in bulk , the solution of the bogoliubov - de gennes equations is the same w"}
{"subject": "math:arxiv_35398", "predicate": "proves", "object": "we use lagrangian effective field theory techniques to construct the equations of motion for an idea"}
{"subject": "math:arxiv_35414", "predicate": "proves", "object": "we introduce a variant of farber s topological complexity , defined for smooth compact orientable ri"}
{"subject": "math:arxiv_35419", "predicate": "proves", "object": "a microscopic theory for coarse graining diblock copolymers into dumbbells of interacting soft collo"}
{"subject": "math:arxiv_35422", "predicate": "proves", "object": "we present an algorithm of finding numerical solutions of pulsar equation . \n the problem of finding"}
{"subject": "math:arxiv_35429", "predicate": "proves", "object": "combining the bethe ansatz with a _ functional deviation expansion _ and using an asymptotic expansi"}
{"subject": "math:arxiv_35485", "predicate": "proves", "object": "three - body resonances in atomic systems are calculated as complex - energy solutions of faddeev - "}
{"subject": "math:arxiv_35487", "predicate": "proves", "object": "we show that evolution of the luminosity density of galaxies in the universe provides a powerful tes"}
{"subject": "math:arxiv_35510", "predicate": "proves", "object": "in @xcite , alfeld and schumaker give a formula for the dimension of the space of piecewise polynomi"}
{"subject": "math:arxiv_35529", "predicate": "proves", "object": "the ricci flow is a heat equation for metrics , which has recently been used to study the topology o"}
{"subject": "math:arxiv_35544", "predicate": "proves", "object": "kripke frames ( and models ) provide a suitable semantics for sub - classical logics ; for example i"}
{"subject": "math:arxiv_35560", "predicate": "proves", "object": "we present here the field equations describing a non - stationary spherically symmetric @xmath0-dime"}
{"subject": "math:arxiv_35564", "predicate": "proves", "object": "we use a general formulation of nonrelativistic quantum electrodynamics in which the gauge freedom i"}
{"subject": "math:arxiv_35611", "predicate": "proves", "object": "the well - known `` splitting necklace theorem '' of alon @xcite says that each necklace with @xmath"}
{"subject": "math:arxiv_35612", "predicate": "proves", "object": "it is well - known that heegaard genus is additive under connected sum of @xmath0-manifolds . \n we s"}
{"subject": "math:arxiv_35614", "predicate": "proves", "object": "it is shown that the boost - invariant and cylindrically non - symmetric hydrodynamic equations for "}
{"subject": "math:arxiv_35640", "predicate": "proves", "object": "in this paper , we solve laplace equation analytically by using differential transform method . for "}
{"subject": "math:arxiv_35643", "predicate": "proves", "object": "we formulate a theory of non - abelian fractional quantum hall states by considering an anisotropic "}
{"subject": "math:arxiv_35651", "predicate": "proves", "object": "the motion of small , spherical particles of finite size in fluid flows at low reynolds numbers is d"}
{"subject": "math:arxiv_35673", "predicate": "proves", "object": "for realistic geodynamo simulations , one must solve the magnetohydrodynamic equations to follow tim"}
{"subject": "math:arxiv_35699", "predicate": "proves", "object": "a novel _ lattice boltzmann method _ applicable to compressible fluid flows is developed . \n this me"}
{"subject": "math:arxiv_35717", "predicate": "proves", "object": "let @xmath0 be the class of closed , simply - connected , non - negatively curved riemannian manifol"}
{"subject": "math:arxiv_35721", "predicate": "proves", "object": "the cylindrically - symmetric static vacuum equations of conformal gravity are solved for the case o"}
{"subject": "math:arxiv_35726", "predicate": "proves", "object": "we present an analysis of the ginzburg - landau equations for the description of a two - dimensional"}
{"subject": "math:arxiv_35739", "predicate": "proves", "object": "using renormalization group techniques we have derived analytic formulae for the next - to - leading"}
{"subject": "math:arxiv_35742", "predicate": "proves", "object": "we illustrate archimedes method using models produced with 3d printers . this approach allowed us to"}
{"subject": "math:arxiv_35747", "predicate": "proves", "object": "let @xmath0 be @xmath1 , @xmath2 or @xmath3 for any integer @xmath4 . \n we construct an irreducible "}
{"subject": "math:arxiv_35754", "predicate": "proves", "object": "we present an analytical formulation of gravitational lensing using familiar triaxial power - law ma"}
{"subject": "math:arxiv_35760", "predicate": "proves", "object": "a new perturbative approach to canonical equation - of - motion coupled - cluster theory is presente"}
{"subject": "math:arxiv_35767", "predicate": "proves", "object": "in this paper we study the curved geometry of noncommutative @xmath0-tori @xmath1 . \n we use a weyl "}
{"subject": "math:arxiv_35779", "predicate": "proves", "object": "a given set of data - points in some feature space may be associated with a schrdinger  equation who"}
{"subject": "math:arxiv_35795", "predicate": "proves", "object": "we have derived exact langevin equations for a model of quasispecies dynamics . \n the inherent multi"}
{"subject": "math:arxiv_35797", "predicate": "proves", "object": "in this paper , we discuss inflationary scenario via scalar field and fluid cosmology for anisotropi"}
{"subject": "math:arxiv_35798", "predicate": "proves", "object": "we formulate a mean - field - like theory of long - range correlated @xmath0-alphabets sequences , w"}
{"subject": "math:arxiv_35805", "predicate": "proves", "object": "we numerically investigate the solutions to the effective equations of the bianchi ii model within t"}
{"subject": "math:arxiv_35806", "predicate": "proves", "object": "we construct and classify all possible magic squares ( ms s ) related to euclidean or lorentzian ran"}
{"subject": "math:arxiv_35816", "predicate": "proves", "object": "we study the @xmath0 loop model on the honeycomb lattice with real value @xmath1 by means of a clust"}
{"subject": "math:arxiv_35835", "predicate": "proves", "object": "appropriate restrictions of lax operators which allows to construction of ( 2 + 1)-dimensional integ"}
{"subject": "math:arxiv_35836", "predicate": "proves", "object": "let @xmath0 be a closed @xmath1-manifold with a given heegaard splitting . we show that after a sing"}
{"subject": "math:arxiv_35844", "predicate": "proves", "object": "we present analytical stationary solutions for the gross - pitaevskii equation ( gpe ) of a bose - e"}
{"subject": "math:arxiv_35881", "predicate": "proves", "object": "plummer and toft conjectured in 1987 that the vertices of every @xmath0-connected plane graph with m"}
{"subject": "math:arxiv_35886", "predicate": "proves", "object": "it is shown that in 2 + 1 dimensional condensed matter systems , induced gravitational chern - simon"}
{"subject": "math:arxiv_35890", "predicate": "proves", "object": "this paper is concerned with the study of the strong maximum principle for semicontinuous viscosity "}
{"subject": "math:arxiv_35921", "predicate": "proves", "object": "we consider @xmath0-dimensional systems with nonintegrable , algebraically decaying pairwise interac"}
{"subject": "math:arxiv_35931", "predicate": "proves", "object": "t. lyons rough path theory is something like a deterministic version of k. it s theory of stochastic"}
{"subject": "math:arxiv_35932", "predicate": "proves", "object": "we seek possible statistical consequences of the way a forcing term is added to the navier \n stokes "}
{"subject": "math:arxiv_35949", "predicate": "proves", "object": "the conserved swift - hohenberg equation with cubic nonlinearity provides the simplest microscopic d"}
{"subject": "math:arxiv_35963", "predicate": "proves", "object": "there exist very lucid explanations of the combinatorial origins of rational and algebraic functions"}
{"subject": "math:arxiv_35969", "predicate": "proves", "object": "we discuss shear viscosity of the quark matter by using kubo formula . \n the shear viscosity is calc"}
{"subject": "math:arxiv_35980", "predicate": "proves", "object": "the dynamics of nonlinear reaction - diffusion systems is dominated by the onset of patterns and fis"}
{"subject": "math:arxiv_35983", "predicate": "proves", "object": "we present a new package , _ vest _ ( vector einstein summation tools ) , that performs abstract vec"}
{"subject": "math:arxiv_35984", "predicate": "proves", "object": "in the @xmath0-mapping theory , the topological current constructed by the order parameters can poss"}
{"subject": "math:arxiv_36019", "predicate": "proves", "object": "we present the applications of methods from nonlinear local harmonic analysis for calculations in no"}
{"subject": "math:arxiv_36026", "predicate": "proves", "object": "we explore the connections between the linear algebra of symmetric matrices over @xmath0 and the cir"}
{"subject": "math:arxiv_36031", "predicate": "proves", "object": "new one - leg multistep time discretizations of nonlinear evolution equations are investigated . \n t"}
{"subject": "math:arxiv_36035", "predicate": "proves", "object": "we propose a method to construct quantum theory of matter fields in a topology changing universe . \n"}
{"subject": "math:arxiv_36072", "predicate": "proves", "object": "a generalized equation of state corresponding to a model that includes a chaplygin gas and a viscous"}
{"subject": "math:arxiv_36073", "predicate": "proves", "object": "we prove that the braided thompson s groups @xmath0 and @xmath1 are of type @xmath2 , confirming a c"}
{"subject": "math:arxiv_36089", "predicate": "proves", "object": "we establish a calculus for branched spines of @xmath0-manifolds by means of branched matveev - pier"}
{"subject": "math:arxiv_36092", "predicate": "proves", "object": "the solution of differential problems , and in particular of quantum wave equations , can in general"}
{"subject": "math:arxiv_36097", "predicate": "proves", "object": "the dc josephson effect is considered from the thermodynamic point of view . \n universal thermodynam"}
{"subject": "math:arxiv_36108", "predicate": "proves", "object": "we describe the @xmath0 constraints on the target space geometry of the @xmath1 heterotic superstrin"}
{"subject": "math:arxiv_36112", "predicate": "proves", "object": "the influence of random surface inhomogeneities on spectral properties of open microresonators is st"}
{"subject": "math:arxiv_36113", "predicate": "proves", "object": "we theoretically study the acoustic phonon limited mobility in @xmath0-doped two - dimensional mos@x"}
{"subject": "math:arxiv_36119", "predicate": "proves", "object": "we present results derived from a high - resolution cosmological  simulation in which the equations "}
{"subject": "math:arxiv_36127", "predicate": "proves", "object": "we study the higher frobenius - schur indicators of modules over semisimple hopf algebras , and rela"}
{"subject": "math:arxiv_36133", "predicate": "proves", "object": "based upon the smoluchowski equation on curved manifolds three physical observables are considered f"}
{"subject": "math:arxiv_36147", "predicate": "proves", "object": "it was conjectured in @xcite that the torelli map @xmath0 associating to a curve its jacobian extend"}
{"subject": "math:arxiv_36150", "predicate": "proves", "object": "we study the kondo effect of a two - orbital vertical quantum dot ( qd ) coupled to two ferromagneti"}
{"subject": "math:arxiv_36158", "predicate": "proves", "object": "the oscillations of the test particles on circular orbits in field of super - extremal charged centr"}
{"subject": "math:arxiv_36163", "predicate": "proves", "object": "a 1-dimensional model for coherent quantum energy transfer through a complex of compressible boxes i"}
{"subject": "math:arxiv_36173", "predicate": "proves", "object": "a realistic equation of state ( eos ) leads to strange stars ( ress ) which are compact in the mass "}
{"subject": "math:arxiv_36186", "predicate": "proves", "object": "consider a pair @xmath0 , of a weinstein manifold @xmath1 with an exact lagrangian submanifold @xmat"}
{"subject": "math:arxiv_36194", "predicate": "proves", "object": "a general derivation of the beam coupling impedances produced by small discontinuities on the wall o"}
{"subject": "math:arxiv_36199", "predicate": "proves", "object": "scattering from large , open cavity structures is of importance in a variety of electromagnetic appl"}
{"subject": "math:arxiv_36205", "predicate": "proves", "object": "many stochastic differential equations that occur in financial modelling do not satisfy the standard"}
{"subject": "math:arxiv_36206", "predicate": "proves", "object": "we use a generalised langevin equation ( gle ) scheme to study the thermal transport of low dimensio"}
{"subject": "math:arxiv_36211", "predicate": "proves", "object": "this letter studies information - theoretic security without knowing the eavesdropper s channel fadi"}
{"subject": "math:arxiv_36216", "predicate": "proves", "object": "additive combinatorics is built around the famous theorem by szemerdi which asserts existence of ari"}
{"subject": "math:arxiv_36222", "predicate": "proves", "object": "curvature and mechanics are intimately connected for thin materials , and this coupling between geom"}
{"subject": "math:arxiv_36241", "predicate": "proves", "object": "in this paper , we prove a strong convergence theorem of modified ishikawa iterations for relatively"}
{"subject": "math:arxiv_36247", "predicate": "proves", "object": "we formulate a model of noncompact spherical charged objects in the framework of noncommutative fiel"}
{"subject": "math:arxiv_36253", "predicate": "proves", "object": "we present a regularized and renormalized version of the one - loop nonlinear relaxation equations t"}
{"subject": "math:arxiv_36255", "predicate": "proves", "object": "we consider the resolvent @xmath0 of any @xmath1-diagonal operator @xmath2 in a @xmath3-factor . \n o"}
{"subject": "math:arxiv_36287", "predicate": "proves", "object": "we develop a new framework of the self - consistent deformed proton - neutron quasiparticle - random"}
{"subject": "math:arxiv_36294", "predicate": "proves", "object": "the stability of the nystrm method for the double layer potential equation on simple closed piecewis"}
{"subject": "math:arxiv_36295", "predicate": "proves", "object": "in the framework of dyson - schwinger equations ( dse ) , we compute the @xmath0 transition form fac"}
{"subject": "math:arxiv_36297", "predicate": "proves", "object": "loi and piergallini showed that a smooth compact , connected @xmath0-manifold @xmath1 with boundary "}
{"subject": "math:arxiv_36320", "predicate": "proves", "object": "one of the most profound features of topologically ordered states of matter , such as the fractional"}
{"subject": "math:arxiv_36335", "predicate": "proves", "object": "a finite - difference solution of the schrdinger equation for negative donor centers @xmath0 in two "}
{"subject": "math:arxiv_36388", "predicate": "proves", "object": "we show the existence of global solution for the wadati - konno - ichikawa ( wki ) equation with sma"}
{"subject": "math:arxiv_36404", "predicate": "proves", "object": "baryons are treated as three - quark systems using qcd degrees of freedom in poincar - covariant bou"}
{"subject": "math:arxiv_36416", "predicate": "proves", "object": "we extend the construction of the hennings tqft for ribbon hopf algebras to the case of ribbon quasi"}
{"subject": "math:arxiv_36417", "predicate": "proves", "object": "non - perturbative phenomena in four - wave mixing spectra of semiconductors are studied using the e"}
{"subject": "math:arxiv_36418", "predicate": "proves", "object": "we study a weighted low rank approximation that is inspired by a problem of constrained low rank app"}
{"subject": "math:arxiv_36440", "predicate": "proves", "object": "it has been long conjectured that the crossing numbers of the complete bipartite graph @xmath0 and o"}
{"subject": "math:arxiv_36449", "predicate": "proves", "object": "we propose a constructive proof for the ambrosetti - rabinowitz mountain pass theorem providing an a"}
{"subject": "math:arxiv_36454", "predicate": "proves", "object": "recently , various systems of nonlinear difference equations , of different forms , were studied . i"}
{"subject": "math:arxiv_36456", "predicate": "proves", "object": "after recalling briefly the connection between spontaneous symmetry breaking and off - diagonal long"}
{"subject": "math:arxiv_36468", "predicate": "proves", "object": "new coherent states may be induced by pertinently engineering the topology of a network . as an exam"}
{"subject": "math:arxiv_36472", "predicate": "proves", "object": "ionization and excitation of water molecules in intense laser pulses is studied theoretically by sol"}
{"subject": "math:arxiv_36473", "predicate": "proves", "object": "we consider hamiltonian systems which can be described both classically and quantum mechanically . \n"}
{"subject": "math:arxiv_36476", "predicate": "proves", "object": "tools of the intrinsic analysis on manifolds , helpful in solving the invariant inverse problem of t"}
{"subject": "math:arxiv_36482", "predicate": "proves", "object": "we develop a new effective mathematical formulation and resulting universal computational algorithm "}
{"subject": "math:arxiv_36485", "predicate": "proves", "object": "in the israel - stewart s theory of dissipative hydrodynamics , with a lattice based equation of sta"}
{"subject": "math:arxiv_36491", "predicate": "proves", "object": "we define an ensemble of projection operators , each of which has an exact associated nakajima - zwa"}
{"subject": "math:arxiv_36504", "predicate": "proves", "object": "it has been speculated that technological civilizations evolve along an energy consumption scale fir"}
{"subject": "math:arxiv_36526", "predicate": "proves", "object": "a first - principle multiscale modeling approach is presented , which is derived from the solution o"}
{"subject": "math:arxiv_36528", "predicate": "proves", "object": "the lightest baryon octet is studied within a covariant and confining nambu  jona - lasinio model . "}
{"subject": "math:arxiv_36531", "predicate": "proves", "object": "we survey the techniques used in our recent resolution of the kadison  singer problem and proof of e"}
{"subject": "math:arxiv_36533", "predicate": "proves", "object": "we use the solutions of the noncommutative wheeler - de witt equation arising from a kantowski - sac"}
{"subject": "math:arxiv_36535", "predicate": "proves", "object": "we propose a new method to solve the hartree - fock - bogoliubov equations for weakly bound nuclei ,"}
{"subject": "math:arxiv_36555", "predicate": "proves", "object": "we perform three - dimensional , newtonian hydrodynamic simulations with a nuclear equation of state"}
{"subject": "math:arxiv_36560", "predicate": "proves", "object": "in this note we present a framework which allows to prove an abstract existence result for evolution"}
{"subject": "math:arxiv_36563", "predicate": "proves", "object": "certain semi - riemannian metrics may be decomposed into a riemannian part and an isochronal part . "}
{"subject": "math:arxiv_36567", "predicate": "proves", "object": "we investigate the long term behavior in terms of finite dimensional global and exponential attracto"}
{"subject": "math:arxiv_36572", "predicate": "proves", "object": "in even - dimensional euclidean space for integer powers of the laplacian greater than or equal to t"}
{"subject": "math:arxiv_36580", "predicate": "proves", "object": "in this paper we construct a gibbs measure for the derivative schrdinger equation on the circle . \n "}
{"subject": "math:arxiv_36584", "predicate": "proves", "object": "we revisit the concavity property of the thermodynamic entropy in order to formulate a general proof"}
{"subject": "math:arxiv_36611", "predicate": "proves", "object": "we present two results on expansion of cayley graphs . \n the first result settles a conjecture made "}
{"subject": "math:arxiv_36621", "predicate": "proves", "object": "in the present work , we consider the self - focusing discrete nonlinear schrdinger equation on hexa"}
{"subject": "math:arxiv_36643", "predicate": "proves", "object": "some relationships , fundamental to the resolution of interface wave problems , are presented . \n th"}
{"subject": "math:arxiv_36662", "predicate": "proves", "object": "we study the asymptotic solutions of a version of the balitsky - kovchegov evolution with discrete s"}
{"subject": "math:arxiv_36666", "predicate": "proves", "object": "a two dimensional electrostatic particle - in - cell simulation code is developed to investigate ani"}
{"subject": "math:arxiv_36677", "predicate": "proves", "object": "the rheology of a two - dimensional granular gas under a plane shear is investigated . from the comp"}
{"subject": "math:arxiv_36715", "predicate": "proves", "object": "we study the spectral theory of asymptotically hyperbolic manifolds with ends of warped product type"}
{"subject": "math:arxiv_36717", "predicate": "proves", "object": "using an algebraic fourier transform of operators , we develop a method ( @xmath0-method ) to obtain"}
{"subject": "math:arxiv_36727", "predicate": "proves", "object": "we describe mean value estimates for exponential sums of degree exceeding @xmath0 that approach thos"}
{"subject": "math:arxiv_36741", "predicate": "proves", "object": "we describe an implementation to solve poisson s equation for an isolated system on a unigrid mesh u"}
{"subject": "math:arxiv_36743", "predicate": "proves", "object": "the testability of the kochen - specker theorem is a subject of ongoing controversy . \n a central is"}
{"subject": "math:arxiv_36756", "predicate": "proves", "object": "this paper is an appendix to the paper `` random walks on free products of cyclic groups '' by j. ma"}
{"subject": "math:arxiv_36761", "predicate": "proves", "object": "this paper gives examples of hyperbolic 3-manifolds whose @xmath0 character varieties have ideal poi"}
{"subject": "math:arxiv_36778", "predicate": "proves", "object": "shellability of a simplicial complex has many useful structural implications . \n in particular , it "}
{"subject": "math:arxiv_36796", "predicate": "proves", "object": "we prove that the @xmath0 trace in any simply connected domain @xmath1 is continuous ( except possib"}
{"subject": "math:arxiv_36799", "predicate": "proves", "object": "this paper generalizes the stefan - boltzmann law to include massive photons . \n a crucial ingredien"}
{"subject": "math:arxiv_36810", "predicate": "proves", "object": "the aim of the paper is to extend the model of `` fishing problem '' . \n the simple formulation is f"}
{"subject": "math:arxiv_36824", "predicate": "proves", "object": "we determine running coupling corrections to the kernel of the non - linear evolution equation for t"}
{"subject": "math:arxiv_36826", "predicate": "proves", "object": "the main contribution of this paper is a generalization of several previous localization theories in"}
{"subject": "math:arxiv_36833", "predicate": "proves", "object": "given a hypersurface in the complex projective @xmath0-space we prove several known formulas for the"}
{"subject": "math:arxiv_36839", "predicate": "proves", "object": "using liquid integral equation theory , we calculate the pair correlations of particles that interac"}
{"subject": "math:arxiv_36840", "predicate": "proves", "object": "we give a short proof of a recent result by bernik , mastnak , and radjavi , stating that an irreduc"}
{"subject": "math:arxiv_36846", "predicate": "proves", "object": "we determine the subgroup of automorphisms acting trivially on the second integral cohomology for hy"}
{"subject": "math:arxiv_36875", "predicate": "proves", "object": "using the notion of dubiner distance , we give an elementary proof of the fact that good covering po"}
{"subject": "math:arxiv_36876", "predicate": "proves", "object": "we consider an idealized network , formed by @xmath0 neurons individually described by the fitzhugh "}
{"subject": "math:arxiv_36884", "predicate": "proves", "object": "we reinvestigate the uv spectrum of ngc1535 by means of recently developed fully line - blanketed no"}
{"subject": "math:arxiv_36903", "predicate": "proves", "object": "a spectral method is described for solving coupled elliptic problems on an interior and an exterior "}
{"subject": "math:arxiv_36917", "predicate": "proves", "object": "we use statistical equilibrium equations to investigate the irac color space of shocked molecular hy"}
{"subject": "math:arxiv_36942", "predicate": "proves", "object": "the effective potential approach for composite operators is generalized to non - zero temperatures i"}
{"subject": "math:arxiv_36944", "predicate": "proves", "object": "we construct a special asymptotic solution for the forced boussinesq equation . \n the perturbation i"}
{"subject": "math:arxiv_37003", "predicate": "proves", "object": "we collect evidence in support of a conjecture of griffiths , green and kerr @xcite on the arithmeti"}
{"subject": "math:arxiv_37038", "predicate": "proves", "object": "linear magnetization dynamics in the presense of a thermal bath is analyzed for two general classes "}
{"subject": "math:arxiv_37044", "predicate": "proves", "object": "we develop a low mach number formulation of the hydrodynamic equations describing transport of mass "}
{"subject": "math:arxiv_37046", "predicate": "proves", "object": "high pressure x - ray diffraction measurements have been carried out on the intermetallic semiconduc"}
{"subject": "math:arxiv_37062", "predicate": "proves", "object": "quantum transport in inhomogeneous magnetic fields is investigated numerically in two - dimensional "}
{"subject": "math:arxiv_37067", "predicate": "proves", "object": "we give a new proof of an old identity of dixon ( 1865 - 1936 ) that uses tools from topological com"}
{"subject": "math:arxiv_37091", "predicate": "proves", "object": "we model the recently published kinematic data set for leo i dsph galaxy by fitting the solutions of"}
{"subject": "math:arxiv_37107", "predicate": "proves", "object": "we study the polyhedral geometry of the hyperplanes orthogonal to the weights of the first and the s"}
{"subject": "math:arxiv_37120", "predicate": "proves", "object": "we give a series of successively weaker conjectures on the cohomology ring of the grassmannian , sta"}
{"subject": "math:arxiv_37124", "predicate": "proves", "object": "we derive and analyze shock - wave solutions of hydrodynamic equations describing repulsively intera"}
{"subject": "math:arxiv_37134", "predicate": "proves", "object": "a spatially flat friedmann - robertson - walker(frw ) cosmological model with generalized chaplygin "}
{"subject": "math:arxiv_37146", "predicate": "proves", "object": "the witten index for certain supersymmetric lattice models treated by de boer , van eerten , fendley"}
{"subject": "math:arxiv_37170", "predicate": "proves", "object": "we propose different approaches of pdf files based steganography , essentially based on the chinese "}
{"subject": "math:arxiv_37179", "predicate": "proves", "object": "we propose a scheme that utilizes the collective enhancement of a photonic mode inside an atomic ens"}
{"subject": "math:arxiv_37191", "predicate": "proves", "object": "a classification is given of certain separable nuclear c*-algebras not necessarily of real rank zero"}
{"subject": "math:arxiv_37194", "predicate": "proves", "object": "we present a direct and fairly simple proof of the following incidence bound : let @xmath0 be a set "}
{"subject": "math:arxiv_37234", "predicate": "proves", "object": "we discuss two integrable classes of the emden - fowler ( ef ) equation of the type @xmath0 for @xma"}
{"subject": "math:arxiv_37238", "predicate": "proves", "object": "relativistic formulae for spin averaged and spin dependent one photon exchange differential cross se"}
{"subject": "math:arxiv_37246", "predicate": "proves", "object": "the newman - penrose equations for spacetimes having one spacelike killing vector are reduced  in a "}
{"subject": "math:arxiv_37252", "predicate": "proves", "object": "we develop some ideas discussed by e. schucking [ arxiv:0803.4128 ] concerning the geometry of the g"}
{"subject": "math:arxiv_37253", "predicate": "proves", "object": "we present a systematic approach to the linearised yang - mills - higgs equations in the background "}
{"subject": "math:arxiv_37260", "predicate": "proves", "object": "we study the problem of interference management in fast fading wireless networks , in which the tran"}
{"subject": "math:arxiv_37269", "predicate": "proves", "object": "a new formulation for a `` restricted '' type of target space duality in classical two dimensional n"}
{"subject": "math:arxiv_37284", "predicate": "proves", "object": "we study the cauchy problem for a scalar semilinear degenerate parabolic partial differential equati"}
{"subject": "math:arxiv_37292", "predicate": "proves", "object": "first - principles alloy theory , formulated within the exact muffin - tin orbitals method in combin"}
{"subject": "math:arxiv_37294", "predicate": "proves", "object": "a microscopic configuration - interaction ( ci ) methodology is introduced to enable bottom - up sch"}
{"subject": "math:arxiv_37335", "predicate": "proves", "object": "current quantum noise can be pictured as a sum over transitions through which the electronic system "}
{"subject": "math:arxiv_37360", "predicate": "proves", "object": "a nonnegative tensor has nonnegative rank at most  2 if and only if it is supermodular and has flatt"}
{"subject": "math:arxiv_37363", "predicate": "proves", "object": "we investigate the properties of the finite frequency noise in a quantum point contact geometry for "}
{"subject": "math:arxiv_37371", "predicate": "proves", "object": "we use a langevin equation to examine the dynamics and fluctuations of a flux line ( fl ) in the pre"}
{"subject": "math:arxiv_37397", "predicate": "proves", "object": "in his 1992 ph.d . thesis chang identified an efficient way to dominate @xmath0 grid graphs and conj"}
{"subject": "math:arxiv_37405", "predicate": "proves", "object": "we present the superconformal gauge theory living on the world - volume of d3 branes probing the tor"}
{"subject": "math:arxiv_37407", "predicate": "proves", "object": "using the well - known `` displace , cut and reflect '' method used to generate disks from given sol"}
{"subject": "math:arxiv_37418", "predicate": "proves", "object": "we show that closed aspherical manifolds supporting an affine structure , whose holonomy map is inje"}
{"subject": "math:arxiv_37421", "predicate": "proves", "object": "this paper gives a theoretical formulation of the electromagnetic response of the quasi - two - dime"}
{"subject": "math:arxiv_37431", "predicate": "proves", "object": "we consider the notion of improved and perfect actions within regge calculus . \n these actions are c"}
{"subject": "math:arxiv_37452", "predicate": "proves", "object": "we consider the problem of inferring the topology of a network with @xmath0 sources and @xmath1 rece"}
{"subject": "math:arxiv_37461", "predicate": "proves", "object": "dynamics of the delay rational difference equation @xmath0 with complex parameters @xmath1 , @xmath2"}
{"subject": "math:arxiv_37462", "predicate": "proves", "object": "the dynamics of fission has been studied by solving euler - lagrange equations with dissipation gene"}
{"subject": "math:arxiv_37466", "predicate": "proves", "object": "we report on a matrix - based diffraction integral that evaluates the focal field of any diffraction"}
{"subject": "math:arxiv_37471", "predicate": "proves", "object": "we construct a class of nuclear equations of state based on a schematic potential model , that origi"}
{"subject": "math:arxiv_37478", "predicate": "proves", "object": "the maximum stable set problem is a well - known np - hard problem in combinatorial optimization , w"}
{"subject": "math:arxiv_37479", "predicate": "proves", "object": "error estimates with optimal convergence orders are proved for a stabilized lagrange - galerkin sche"}
{"subject": "math:arxiv_37501", "predicate": "proves", "object": "this expository article outlines the construction of de  concini - procesi arrangement models and de"}
{"subject": "math:arxiv_37522", "predicate": "proves", "object": "in the literature , two approaches to the weierstrass representation formula using spinors are known"}
{"subject": "math:arxiv_37525", "predicate": "proves", "object": "we study the spin photogalvanic effect in two - dimensional electron system with structure inversion"}
{"subject": "math:arxiv_37531", "predicate": "proves", "object": "we present a detailed study of intermittency in the velocity and magnetic field fluctuations of comp"}
{"subject": "math:arxiv_37549", "predicate": "proves", "object": "a conventional space - time diagram is @xmath0 one , which satisfies the minkowski geometry . \n this"}
{"subject": "math:arxiv_37554", "predicate": "proves", "object": "we introduce equations of motion for spin dynamics in a ferromagnetic bose - einstein condensate wit"}
{"subject": "math:arxiv_37556", "predicate": "proves", "object": "when taking the holographic principle into account , the vacuum energy will acquire dynamical proper"}
{"subject": "math:arxiv_37585", "predicate": "proves", "object": "in this paper we investigate the non - abelian cosmic string in de sitter and anti - de sitter space"}
{"subject": "math:arxiv_37608", "predicate": "proves", "object": "the probability of multiple ionization of krypton by 50 femtosecond circularly polarized laser pulse"}
{"subject": "math:arxiv_37629", "predicate": "proves", "object": "an alternative equation , resumming of the @xmath0 terms for the polarized nonsinglet structure func"}
{"subject": "math:arxiv_37631", "predicate": "proves", "object": "this article introduces strongly near smooth manifolds . \n the main results are ( i ) second countab"}
{"subject": "math:arxiv_37636", "predicate": "proves", "object": "we discuss , by means of mode - matching analysis for the dirac equation , how splittings of the lan"}
{"subject": "math:arxiv_37645", "predicate": "proves", "object": "we study dynamical and thermal effects that are induced in nanoparticle systems by a rotating magnet"}
{"subject": "math:arxiv_37654", "predicate": "proves", "object": "the nonequilibrium photon green function for a bounded medium surrounded by vacuum is analyzed on th"}
{"subject": "math:arxiv_37655", "predicate": "proves", "object": "for a boundary - reducible @xmath0-manifold @xmath1 with @xmath2 a genus @xmath3 surface , we show t"}
{"subject": "math:arxiv_37657", "predicate": "proves", "object": "we propose a @xmath0-deformation of the @xmath1-invariant schrdinger equation of a spinless particle"}
{"subject": "math:arxiv_37660", "predicate": "proves", "object": "in this article , i will prove a recurrence theorem which says that any @xmath0 ( @xmath1 ) solution"}
{"subject": "math:arxiv_37686", "predicate": "proves", "object": "we present a new formula to numerically construct configurations in rotational equilibrium , which c"}
{"subject": "math:arxiv_37704", "predicate": "proves", "object": "this paper concerns the regularity and geometry of the free boundary in the optimal partial transpor"}
{"subject": "math:arxiv_37718", "predicate": "proves", "object": "we consider a two - dimensional scalar field theory with a nilpotent current algebra , which is dual"}
{"subject": "math:arxiv_37762", "predicate": "proves", "object": "the extreme schwarzschild  de sitter space - time is a spherically symmetric solution of einstein s "}
{"subject": "math:arxiv_37766", "predicate": "proves", "object": "we demonstrate that the probability distribution of the net number of electrons passing through a qu"}
{"subject": "math:arxiv_37782", "predicate": "proves", "object": "the explicit formulae for the height distribution and expected number of local maxima have been obta"}
{"subject": "math:arxiv_37787", "predicate": "proves", "object": "we derive analytic approximations of neutrino luminosities and heat capacities of neutron stars with"}
{"subject": "math:arxiv_37803", "predicate": "proves", "object": "we develop a systematic perturbative method to obtain analytic solution of the generalized dorokhov "}
{"subject": "math:arxiv_37815", "predicate": "proves", "object": "we provide a new approach to studying the dirichlet - neumann map for laplace s equation on a convex"}
{"subject": "math:arxiv_37816", "predicate": "proves", "object": "_ in this article , we prove the local well - posedness , for arbitrary initial data with certain re"}
{"subject": "math:arxiv_37817", "predicate": "proves", "object": "we determine the scaling equation of state of the three - dimensional @xmath0 universality class , f"}
{"subject": "math:arxiv_37818", "predicate": "proves", "object": "we use a 1parameter version of gauge theory to investigate the topology of the diffeomorphism group "}
{"subject": "math:arxiv_37835", "predicate": "proves", "object": "the optical and magnetic properties of dust grains are reviewed , as they relate to the problem of i"}
{"subject": "math:arxiv_37841", "predicate": "proves", "object": "in this paper , we introduce a semantics of realisability for the classical propositional natural de"}
{"subject": "math:arxiv_37842", "predicate": "proves", "object": "this article is based on the opening lecture at the third quantum geometry and quantum gravity schoo"}
{"subject": "math:arxiv_37850", "predicate": "proves", "object": "breached pairing solutions to the gap equation are obtained analytically in for two and three quarks"}
{"subject": "math:arxiv_37854", "predicate": "proves", "object": "it was recently conjectured that , in su(3 ) gauge theories with fundamental quarks , _ valence _ sp"}
{"subject": "math:arxiv_37855", "predicate": "proves", "object": "structural properties of evolving random graphs are investigated . treating linking as a dynamic agg"}
{"subject": "math:arxiv_37907", "predicate": "proves", "object": "let @xmath0 denote the ( logarithmic ) mahler measure of the algebraic number @xmath1 . \n dubickas a"}
{"subject": "math:arxiv_37911", "predicate": "proves", "object": "we present a method for finding the eigenmodes of the laplace operator acting on any compact manifol"}
{"subject": "math:arxiv_37918", "predicate": "proves", "object": "many knots and links in @xmath0 can be drawn as gluing of three manifolds with one or more four - pu"}
{"subject": "math:arxiv_37937", "predicate": "proves", "object": "we describe pairs @xmath0 such that @xmath1-dimensional affine space is fibered by pairwise skew @xm"}
{"subject": "math:arxiv_37960", "predicate": "proves", "object": "we determine the structure of the fundamental group of the regular leaves of a closed singular riema"}
{"subject": "math:arxiv_37961", "predicate": "proves", "object": "we investigate stability of ( 2 + 1)-dimensional ring solitons of the nonlinear schrdinger equation "}
{"subject": "math:arxiv_37967", "predicate": "proves", "object": "we prove the following nonholonomic version of the classical moser theorem : given a bracket - gener"}
{"subject": "math:arxiv_37973", "predicate": "proves", "object": "we describe non - flat standard friedmann cosmology of canonical scalar field with barotropic fluid "}
{"subject": "math:arxiv_37984", "predicate": "proves", "object": "we derive a first order differential equation for the decoherence of an orbital angular momentum ent"}
{"subject": "math:arxiv_37991", "predicate": "proves", "object": "semiclassical theory of spin dynamics and transport is formulated using the dirac electron model . \n"}
{"subject": "math:arxiv_37992", "predicate": "proves", "object": "we propose dynamical systems defined on algebra of lattices , which we call ` lattice equations ' . "}
{"subject": "math:arxiv_38011", "predicate": "proves", "object": "using the combinatorial formula for the transformed macdonald polynomials of haglund , haiman , and "}
{"subject": "math:arxiv_38025", "predicate": "proves", "object": "we give a categorical semantics for a call - by - value linear lambda calculus . \n such a lambda cal"}
{"subject": "math:arxiv_38036", "predicate": "proves", "object": "cold atoms in an optical lattice with brick - wall geometry have been used to mimic graphene , a two"}
{"subject": "math:arxiv_38054", "predicate": "proves", "object": "we extend the stochastic energetics to a relativistic system . \n the thermodynamic laws and equipart"}
{"subject": "math:arxiv_38061", "predicate": "proves", "object": "given a simply - connected closed @xmath0-manifold @xmath1 and a smoothly embedded oriented surface "}
{"subject": "math:arxiv_38067", "predicate": "proves", "object": "a set of linearly constrained permutation matrices are proposed for constructing a class of permutat"}
{"subject": "math:arxiv_38074", "predicate": "proves", "object": "a _ birack _ is an algebraic structure with axioms encoding the blackboard - framed reidemeister mov"}
{"subject": "math:arxiv_38087", "predicate": "proves", "object": "we solve einstein vacuum equations in a spacetime region up to the `` center '' of gravitational col"}
{"subject": "math:arxiv_38098", "predicate": "proves", "object": "in this paper we present the derivation details , logic , and motivation for the loop calculus intro"}
{"subject": "math:arxiv_38105", "predicate": "proves", "object": "a causal , non - hermitian , renormalizable , local , unitary and lorentz convariant formulation of "}
{"subject": "math:arxiv_38111", "predicate": "proves", "object": "using several relativistic mean field models ( such as gm1 , gm3 , nl3 , tm1 , fsugold and iu - fsu "}
{"subject": "math:arxiv_38113", "predicate": "proves", "object": "we formulate a quasi - particle random phase approximation ( qrpa ) in the coordinate space represen"}
{"subject": "math:arxiv_38122", "predicate": "proves", "object": "we investigate the wetting properties of surfaces patterned with fine elastic hairs , with an emphas"}
{"subject": "math:arxiv_38131", "predicate": "proves", "object": "a theoretical framework is proposed to derive a dynamic equation motion for rectilinear dislocations"}
{"subject": "math:arxiv_38140", "predicate": "proves", "object": "we review the first modern singularity theorem , published by penrose in 1965 . \n this is the first "}
{"subject": "math:arxiv_38150", "predicate": "proves", "object": "we develop a new transmission scheme for additive white gaussian noisy ( awgn ) channels based on fu"}
{"subject": "math:arxiv_38151", "predicate": "proves", "object": "we compute the spectrum of the trigonometric sutherland spin model of @xmath0 type in the presence o"}
{"subject": "math:arxiv_38171", "predicate": "proves", "object": "how to extract negative information from programs is an important issue in logic programming . here "}
{"subject": "math:arxiv_38174", "predicate": "proves", "object": "in the present work , it is shown that the geometerization philosophy has not been exhausted . \n som"}
{"subject": "math:arxiv_38183", "predicate": "proves", "object": "the @xmath0-vector is an important enumerative invariant of a flag simplicial homology sphere . \n it"}
{"subject": "math:arxiv_38217", "predicate": "proves", "object": "quantum brownian motion in the strong friction limit is studied based on the exact path integral for"}
{"subject": "math:arxiv_38236", "predicate": "proves", "object": "we information - theoretically reformulate two measures of capacity from statistical learning theory"}
{"subject": "math:arxiv_38247", "predicate": "proves", "object": "the nonlinear schrdinger ( nls ) equation is considered on a periodic graph subject to the kirchhoff"}
{"subject": "math:arxiv_38248", "predicate": "proves", "object": "the multi variate mixture dynamics model is a tractable , dynamical , arbitrage - free multivariate "}
{"subject": "math:arxiv_38269", "predicate": "proves", "object": "some typical quantization ambiguities of quantum geometry are studied within isotropic models . \n si"}
{"subject": "math:arxiv_38274", "predicate": "proves", "object": "we give a simple differential geometric proof of the conformal transformation of the night sky under"}
{"subject": "math:arxiv_38278", "predicate": "proves", "object": "we combine malliavin calculus with stein s method to derive bounds for the variance - gamma approxim"}
{"subject": "math:arxiv_38282", "predicate": "proves", "object": "henri poincar formulated the mathematics of the lorentz transformations , known as the poincar group"}
{"subject": "math:arxiv_38288", "predicate": "proves", "object": "we discuss a numerical method to study electron transport in mesoscopic devices out of equilibrium ."}
{"subject": "math:arxiv_38299", "predicate": "proves", "object": "in this paper , we describe the line dirac delta function of a curve in three - dimensional space in"}
{"subject": "math:arxiv_38308", "predicate": "proves", "object": "an extended landau - lifshitz - gilbert ( llg ) equation is introduced to describe the dynamics of i"}
{"subject": "math:arxiv_38327", "predicate": "proves", "object": "we present and analyze an exact 5-dimensional vacuum solution of einstein equation with non - negati"}
{"subject": "math:arxiv_38338", "predicate": "proves", "object": "the celebrated hajnal - szemerdi theorem gives the precise minimum degree threshold that forces a gr"}
{"subject": "math:arxiv_38346", "predicate": "proves", "object": "we give a self contained introduction to a@xmath0-algebras , a@xmath0-bimodules and maps between the"}
{"subject": "math:arxiv_38376", "predicate": "proves", "object": "we investigate a lattice nambu  jona - lasinio model both by the monte carlo method and schwinger - "}
{"subject": "math:arxiv_38377", "predicate": "proves", "object": "not every singular homology class is the push - forward of the fundamental class of some manifold . "}
{"subject": "math:arxiv_38380", "predicate": "proves", "object": "we study the bloch dynamics of a bose - einstein condensate of cold atoms by using the formalism of "}
{"subject": "math:arxiv_38397", "predicate": "proves", "object": "we study a frustrated mixed spin chain with side chains , where the spin species and the exchange in"}
{"subject": "math:arxiv_38426", "predicate": "proves", "object": "a study of a stable front propagating in a turbulent medium is presented . \n the front is generated "}
{"subject": "math:arxiv_38429", "predicate": "proves", "object": "we simulate a cluster of 144179 stars including 13107 primordial hard binaries ( 10% of the total nu"}
{"subject": "math:arxiv_38434", "predicate": "proves", "object": "given a weighted undirected graph @xmath0 , the molecular distance geometry problem ( mdgp ) is that"}
{"subject": "math:arxiv_38444", "predicate": "proves", "object": "it is described , explicitly , how a popular , commercially - available software package for solving"}
{"subject": "math:arxiv_38455", "predicate": "proves", "object": "we formulate an effective model for b - b site ordering in double perovskite materials a@xmath0bbo@x"}
{"subject": "math:arxiv_38464", "predicate": "proves", "object": "lehel conjectured that in every @xmath0-coloring of the edges of @xmath1 , there is a vertex disjoin"}
{"subject": "math:arxiv_38482", "predicate": "proves", "object": "in this paper , we extend a lattice boltzmann equation ( lbe ) with continuous surface fore ( csf ) "}
{"subject": "math:arxiv_38492", "predicate": "proves", "object": "we study existence and stability properties of entire solutions of a polyharmonic equation with an e"}
{"subject": "math:arxiv_38513", "predicate": "proves", "object": "two - and - a - half - dimensional particle - in - cell plasma simulations are used to study the par"}
{"subject": "math:arxiv_38517", "predicate": "proves", "object": "motivated by the moduli theory of taut contact circles on spherical @xmath0-manifolds , we relate ta"}
{"subject": "math:arxiv_38518", "predicate": "proves", "object": "we present the formulation of a new infinite family of self - consistent stellar models , designed t"}
{"subject": "math:arxiv_38520", "predicate": "proves", "object": "iterated loop algebras are by definition obtained by repeatedly applying the loop construction , fam"}
{"subject": "math:arxiv_38523", "predicate": "proves", "object": "to explain the linear polarization observed in spatially resolved structures in the solar atmosphere"}
{"subject": "math:arxiv_38526", "predicate": "proves", "object": "a survey of the worldwide litterature reveals that the question  are we alone in the universe ?  has"}
{"subject": "math:arxiv_38535", "predicate": "proves", "object": "it is a remarkable fact that all processes occurring in the observable universe are irreversible , w"}
{"subject": "math:arxiv_38537", "predicate": "proves", "object": "equation of state with kaon condensate is derived for isentropic and neutrino - trapped matter . \n b"}
{"subject": "math:arxiv_38548", "predicate": "proves", "object": "we study the asymptotic solutions of the schrdinger equation for the color - singlet reggeon compoun"}
{"subject": "math:arxiv_38589", "predicate": "proves", "object": "transonic accretion onto astrophysical objects is a unique example of analogue black hole realized i"}
{"subject": "math:arxiv_38622", "predicate": "proves", "object": "we study the low - energy effective action of the iib matrix model in the derivative interpretation "}
{"subject": "math:arxiv_38630", "predicate": "proves", "object": "the observer dependence of the quasi - local energy ( qle ) and momentum in the schwarzschild geomet"}
{"subject": "math:arxiv_38633", "predicate": "proves", "object": "parikh s theorem states that the parikh image of a context - free language is semilinear or , equiva"}
{"subject": "math:arxiv_38640", "predicate": "proves", "object": "the rapid oscillating scalar field is considered as the quintessence in the framework of nonminimal "}
{"subject": "math:arxiv_38653", "predicate": "proves", "object": "lvy - type walks with correlated jumps , induced by the topology of the medium , are studied on a cl"}
{"subject": "math:arxiv_38688", "predicate": "proves", "object": "the first author @xcite introduced a relative symplectic capacity @xmath0 for a symplectic manifold "}
{"subject": "math:arxiv_38689", "predicate": "proves", "object": "operator splitting methods combined with finite element spatial discretizations are studied for time"}
{"subject": "math:arxiv_38690", "predicate": "proves", "object": "we extend the two - dimensional two - layer outer gap model to a three - dimensional geometry and us"}
{"subject": "math:arxiv_38712", "predicate": "proves", "object": "a new class of solutions of three - dimensional equations from the boussinesq paradigm are considere"}
{"subject": "math:arxiv_38715", "predicate": "proves", "object": "the schur - horn theorem states that there exists a self - adjoint matrix with a given spectrum and "}
{"subject": "math:arxiv_38740", "predicate": "proves", "object": "a particular case of a causal set is considered that is a directed dyadic acyclic graph . \n this is "}
{"subject": "math:arxiv_38755", "predicate": "proves", "object": "in [ structural properties and decomposition of linear balanced matrices , _ mathematical programmin"}
{"subject": "math:arxiv_38760", "predicate": "proves", "object": "we characterize the solution of navier - stokes equation as a stochastic geodesic on the diffeomorph"}
{"subject": "math:arxiv_38789", "predicate": "proves", "object": "we study the construction of the collective - coordinate manifold in the baryon number two sector of"}
{"subject": "math:arxiv_38793", "predicate": "proves", "object": "using lagrangian formalism we consider evolution of the ensemble of interacting magnetohydrodynamic "}
{"subject": "math:arxiv_38813", "predicate": "proves", "object": "the embedding diagrams of representations of the @xmath0 superconformal algebra with central charge "}
{"subject": "math:arxiv_38845", "predicate": "proves", "object": "in this paper , among other things , we state and prove the mean ergodic theorem for amenable semigr"}
{"subject": "math:arxiv_38856", "predicate": "proves", "object": "the metric structure of bosonic scale - free networks and fermionic cayley - tree networks is analyz"}
{"subject": "math:arxiv_38857", "predicate": "proves", "object": "this paper is dedicated to the solution of the tangential center problem on 0-cycles :    given a po"}
{"subject": "math:arxiv_38868", "predicate": "proves", "object": "we study asymptotics of traces of ( noncommutative ) monomials formed by images of certain elements "}
{"subject": "math:arxiv_38870", "predicate": "proves", "object": "we discuss a pt - symmetric hamiltonian with complex eigenvalues . \n it is based on the dimensionles"}
{"subject": "math:arxiv_38872", "predicate": "proves", "object": "an approach to calculating approximate solutions to the continuum schwinger \n dyson equations is out"}
{"subject": "math:arxiv_38877", "predicate": "proves", "object": "we propose an efficient method to compute lyapunov exponents and lyapunov eigenvectors of long - ran"}
{"subject": "math:arxiv_38879", "predicate": "proves", "object": "we present a novel and simple method to numerically calculate fisher information matrices for stocha"}
{"subject": "math:arxiv_38883", "predicate": "proves", "object": "suppose a knot in a @xmath0-manifold is in @xmath1-bridge position . \n we consider a reduction of th"}
{"subject": "math:arxiv_38898", "predicate": "proves", "object": "we construct new topological invariants of three - dimensional manifolds which can , in particular ,"}
{"subject": "math:arxiv_38901", "predicate": "proves", "object": "the design and performance of the new cold neutron chopper spectrometer ( cncs ) at the spallation n"}
{"subject": "math:arxiv_38913", "predicate": "proves", "object": "in this paper we study a stochastic differential equation driven by a fractional brownian motion wit"}
{"subject": "math:arxiv_38915", "predicate": "proves", "object": "full understanding of synchronous behavior in coupled dynamical systems beyond the identical case re"}
{"subject": "math:arxiv_38929", "predicate": "proves", "object": "global monochromatic solutions of the scalar wave equation are obtained in flat wormholes of dimensi"}
{"subject": "math:arxiv_38944", "predicate": "proves", "object": "we study pure lovelock vacuum and perfect fluid equations for kasner - type metrics . \n these equati"}
{"subject": "math:arxiv_38954", "predicate": "proves", "object": "compressible ideal magnetohydrodynamics ( mhd ) is formulated in terms of the time evolution of pote"}
{"subject": "math:arxiv_38959", "predicate": "proves", "object": "both propositional dependence logic and inquisitive logic are expressively complete . as a consequen"}
{"subject": "math:arxiv_38966", "predicate": "proves", "object": "this paper concludes the series begun in [ m.  dafermos and i.  rodnianski _ \n decay for solutions o"}
{"subject": "math:arxiv_38986", "predicate": "proves", "object": "a stiff matter - dominated universe modeled by a free massless scalar field minimally coupled to gra"}
{"subject": "math:arxiv_38997", "predicate": "proves", "object": "the radiative transfer equations for multiple inverse compton scattering of the cosmic microwave bac"}
{"subject": "math:arxiv_39000", "predicate": "proves", "object": "we study the @xmath0-adic ( generalized ) hypergeometric equations by using the theory of multiplica"}
{"subject": "math:arxiv_39002", "predicate": "proves", "object": "sequences of nilsson type appear in abundance in algebraic geometry , enumerative combinatorics , ma"}
{"subject": "math:arxiv_39004", "predicate": "proves", "object": "we study the generic invariant probability measures for the geodesic flow on connected complete nonp"}
{"subject": "math:arxiv_39022", "predicate": "proves", "object": "an empirical formula for a shu distribution function that reproduces a thin disc with exponential su"}
{"subject": "math:arxiv_39029", "predicate": "proves", "object": "a new approach is given for the implementation of boundary conditions used in solving the mukhanov -"}
{"subject": "math:arxiv_39036", "predicate": "proves", "object": "this paper gives embedding theorems for a very general class of weighted bergman spaces : the result"}
{"subject": "math:arxiv_39068", "predicate": "proves", "object": "the qcd factorization theorem for diffractive processes in dis is used to derive formulae for the le"}
{"subject": "math:arxiv_39077", "predicate": "proves", "object": "in this paper we show that periodic takahashi 3-manifolds are cyclic coverings of the connected sum "}
{"subject": "math:arxiv_39095", "predicate": "proves", "object": "we compute the structure of a self - gravitating torus with polytropic equation - of - state ( eos )"}
{"subject": "math:arxiv_39133", "predicate": "proves", "object": "we classify solutions of finite morse index of the fractional lane - emden equation @xmath0    [ mul"}
{"subject": "math:arxiv_39140", "predicate": "proves", "object": "the dirac monopole on a three - dimensional torus is considered as a solution to the bogomolny equat"}
{"subject": "math:arxiv_39147", "predicate": "proves", "object": "we develop a monte - carlo event generator based on combination of a parton production formula inclu"}
{"subject": "math:arxiv_39229", "predicate": "proves", "object": "we formulate the expectation value of the bell - ukowski operator acting on qubit states of a two - "}
{"subject": "math:arxiv_39238", "predicate": "proves", "object": "we give a purely combinatorial characterization of complete stanley - reisner rings having a princip"}
{"subject": "math:arxiv_39244", "predicate": "proves", "object": "in this paper , we analyze the behavior of a family of solutions of a nonlinear elliptic equation wi"}
{"subject": "math:arxiv_39248", "predicate": "proves", "object": "we construct a smooth hyperbolic volume preserving diffeomorphism on a four dimensional compact riem"}
{"subject": "math:arxiv_39255", "predicate": "proves", "object": "a theoretical analysis based on a numerical solution of the coupled time - dependent ginzburg - land"}
{"subject": "math:arxiv_39266", "predicate": "proves", "object": "we investigate charge accretion in vicinity of a slowly rotating compact star with a non - stationar"}
{"subject": "math:arxiv_39282", "predicate": "proves", "object": "we show that in the snyder space the area of the disc and of the sphere can be quantized . \n it is a"}
{"subject": "math:arxiv_39290", "predicate": "proves", "object": "atom lasers based on rf - outcoupling can be described by a set of coupled generalized gross - pitae"}
{"subject": "math:arxiv_39301", "predicate": "proves", "object": "we derive the first few terms of the asymptotic expansion of the fredholm equations for one - dimens"}
{"subject": "math:arxiv_39303", "predicate": "proves", "object": "we present a formally exact van der waals inclusive electronic structure theory , called fde - vdw ,"}
{"subject": "math:arxiv_39340", "predicate": "proves", "object": "we propose an extension of the cable equation by introducing a caputo time fractional derivative . \n"}
{"subject": "math:arxiv_39342", "predicate": "proves", "object": "within the framework of the covariant formulation of light - front dynamics , we develop a general n"}
{"subject": "math:arxiv_39356", "predicate": "proves", "object": "given a domain @xmath0 in a complex manifold @xmath1 , it is a difficult problem with no general sol"}
{"subject": "math:arxiv_39373", "predicate": "proves", "object": "within the framework of bohmian mechanics dwell times find a straightforward formulation . \n the com"}
{"subject": "math:arxiv_39403", "predicate": "proves", "object": "the application of the virial theorem to the broad line region of active galactic nuclei allows blac"}
{"subject": "math:arxiv_39404", "predicate": "proves", "object": "we extend the heegaard floer homological definition of algebraic torsion ( @xmath0 ) for closed cont"}
{"subject": "math:arxiv_39405", "predicate": "proves", "object": "we use qcd light - cone sum rules to examine the @xmath0 hadronic matrix element of the current - cu"}
{"subject": "math:arxiv_39411", "predicate": "proves", "object": "comprehension of metabolic pathways is considerably enhanced by metabolic flux analysis ( mfa - ile "}
{"subject": "math:arxiv_39415", "predicate": "proves", "object": "it is proved that the maslov index naturally arises in the framework of pdes geometry . \n the charac"}
{"subject": "math:arxiv_39421", "predicate": "proves", "object": "we consider different markovian embedding schemes of non - markovian stochastic processes that are d"}
{"subject": "math:arxiv_39422", "predicate": "proves", "object": "in the standard formulation of the smoothed particle hydrodynamics ( sph ) , it is assumed that the "}
{"subject": "math:arxiv_39424", "predicate": "proves", "object": "in this paper , we first characterize reflexive one - sided @xmath0-submodules @xmath1 of a unital o"}
{"subject": "math:arxiv_39434", "predicate": "proves", "object": "we report results of the equation of state of neutron matter in the low \n density regime , where the"}
{"subject": "math:arxiv_39463", "predicate": "proves", "object": "with the advent of chiral fermion formulations , the simulation of light valence quarks has finally "}
{"subject": "math:arxiv_39465", "predicate": "proves", "object": "we study the properties of the field in the fundamental mode he@xmath0 of a vacuum - clad _ subwavel"}
{"subject": "math:arxiv_39468", "predicate": "proves", "object": "the euler s equations describe the motion of inviscid fluid . in the case of shallow water , \n when "}
{"subject": "math:arxiv_39474", "predicate": "proves", "object": "this talk is based on results obtained for masses and wave functions of heavy quarkonia in a light -"}
{"subject": "math:arxiv_39479", "predicate": "proves", "object": "we here give an improved formalism for calculating the evolution of density fluctuations and tempera"}
{"subject": "math:arxiv_39485", "predicate": "proves", "object": "by numerical solution and variational approximation of the gross - pitaevskii equation , we studied "}
{"subject": "math:arxiv_39503", "predicate": "proves", "object": "the paper establishes horton self - similarity for a tree representation of kingman s coalescent pro"}
{"subject": "math:arxiv_39521", "predicate": "proves", "object": "we phenomenologically developed a propagation model of high energy galactic cosmic rays . \n we deriv"}
{"subject": "math:arxiv_39523", "predicate": "proves", "object": "we present a detailed study of prisoner s dilemma game with stochastic modifications on a two - dime"}
{"subject": "math:arxiv_39535", "predicate": "proves", "object": "we reformulate the o(@xmath0 ) sigma model as a loop model whose configurations are the all - order "}
{"subject": "math:arxiv_39539", "predicate": "proves", "object": "we study relaxation dynamics of a three dimensional elastic manifold in random potential from a unif"}
{"subject": "math:arxiv_39540", "predicate": "proves", "object": "for the constant mean velocity field @xmath0 , our renormalization group analysis of the navier stok"}
{"subject": "math:arxiv_39550", "predicate": "proves", "object": "we present two results concerning the spin ( or pseudo spin ) dynamics of trapped quantum gases in t"}
{"subject": "math:arxiv_39553", "predicate": "proves", "object": "in order to test the expansion of the universe and its geometry , we carry out an alcock & paczyski "}
{"subject": "math:arxiv_39565", "predicate": "proves", "object": "the possibility to unambiguously determine the equation - of - state of the cosmic dark energy with "}
{"subject": "math:arxiv_39624", "predicate": "proves", "object": "one learned from gottesman - knill theorem that the clifford model of quantum computing @xcite may b"}
{"subject": "math:arxiv_39630", "predicate": "proves", "object": "we show analogues of the classical krein  milman theorem for several ordered algebraic structures , "}
{"subject": "math:arxiv_39634", "predicate": "proves", "object": "the faddeev equations for the three body bound state are solved directly as three dimensional integr"}
{"subject": "math:arxiv_39647", "predicate": "proves", "object": "a counter - intuitive result of gauss ( formulae ( 1.6 ) , ( 1.7 ) below ) is made less mysterious b"}
{"subject": "math:arxiv_39652", "predicate": "proves", "object": "this is a continuation of a series of papers @xcite , where we develop quaternionic analysis from th"}
{"subject": "math:arxiv_39657", "predicate": "proves", "object": "we show that deletion of the loss part of the collision term in all physically relevant versions of "}
{"subject": "math:arxiv_39679", "predicate": "proves", "object": "we present two initial profiles to the camassa  holm equation which yield solutions with accumulatin"}
{"subject": "math:arxiv_39681", "predicate": "proves", "object": "we make use of the guo - krasnoselskii fixed point theorem on cones to prove existence of positive s"}
{"subject": "math:arxiv_39685", "predicate": "proves", "object": "we test the hypothesis that prompt gamma - ray burst pulse emission starts simultaneously at all ene"}
{"subject": "math:arxiv_39688", "predicate": "proves", "object": "we estimate virial masses of galaxy clusters using the parametrized post - newtonian ( ppn ) virial "}
{"subject": "math:arxiv_39689", "predicate": "proves", "object": "this is a report on our ongoing research on a combinatorial approach to knot recognition , using col"}
{"subject": "math:arxiv_39691", "predicate": "proves", "object": "we find all scalar second order evolution equations possessing an sl@xmath0-valued zero curvature re"}
{"subject": "math:arxiv_39699", "predicate": "proves", "object": "we present a new method , the coupled escape probability ( cep ) , for exact calculation of line emi"}
{"subject": "math:arxiv_39704", "predicate": "proves", "object": "working within the nonequilibrium green s function ( negf ) formalism , a formula for the two - time"}
{"subject": "math:arxiv_39721", "predicate": "proves", "object": "this work is motivated by the need to study the impact of data uncertainties and material imperfecti"}
{"subject": "math:arxiv_39724", "predicate": "proves", "object": "sphaleron energies within the standard model with a real higgs singlet added on are calculated . \n t"}
{"subject": "math:arxiv_39749", "predicate": "proves", "object": "starting with a many - atom master equation of a kinetic , restricted solid - on - solid ( krsos ) m"}
{"subject": "math:arxiv_39750", "predicate": "proves", "object": "we study the phase transition from two - flavor nuclear matter to quark matter . \n a mean field mode"}
{"subject": "math:arxiv_39765", "predicate": "proves", "object": "we develop fluctuational electrodynamics for media with nonlinear optical response . in a perturbati"}
{"subject": "math:arxiv_39776", "predicate": "proves", "object": "the problem of expressing a specific polynomial as the determinant of a square matrix of affine - li"}
{"subject": "math:arxiv_39779", "predicate": "proves", "object": "a method is developed which speeds up averaging in quantum simulations where minus signs cause diffi"}
{"subject": "math:arxiv_39783", "predicate": "proves", "object": "we consider the problem of dynamic cavity formation in isotropic compressible nonlinear elastic medi"}
{"subject": "math:arxiv_39784", "predicate": "proves", "object": "we derive explicit expressions of the homogeneous solutions in two dimensional cones for pucci s ext"}
{"subject": "math:arxiv_39786", "predicate": "proves", "object": "collective excitations of a bose - einstein condensate under periodic oscillations of a quadratic pl"}
{"subject": "math:arxiv_39814", "predicate": "proves", "object": "we consider the behavior of a modulated wave solution to an @xmath0-equivariant autonomous system of"}
{"subject": "math:arxiv_39820", "predicate": "proves", "object": "the main aim of the paper is to formulate and prove a result about the structure of double affine he"}
{"subject": "math:arxiv_39828", "predicate": "proves", "object": "this paper generalizes existing approaches for free - surface wave damping via momentum sinks for fl"}
{"subject": "math:arxiv_39831", "predicate": "proves", "object": "dynamical mass generation of a two - component fermion in @xmath0 with a chern - simons term is inve"}
{"subject": "math:arxiv_39843", "predicate": "proves", "object": "a theory for the structure of isothermal , self - gravitating gas spheres in pressure equilibrium is"}
{"subject": "math:arxiv_39850", "predicate": "proves", "object": "for any knot @xmath0 transverse to a given contact structure on a @xmath1-manifold , we exhibit a le"}
{"subject": "math:arxiv_39860", "predicate": "proves", "object": "we translate in semigroup theory bismut s way of the malliavin calculus . \n [ theore]*theorem * [ th"}
{"subject": "math:arxiv_39864", "predicate": "proves", "object": "we combine the notion of asymptotic safety ( as ) with conformal invariance in a hidden sector beyon"}
{"subject": "math:arxiv_39867", "predicate": "proves", "object": "we present a practical method to solve the proton - deuteron scattering problem at energies above th"}
{"subject": "math:arxiv_39871", "predicate": "proves", "object": "generalized parton distributions ( gpds ) enter qcd factorization theorems for hard exclusive reacti"}
{"subject": "math:arxiv_39890", "predicate": "proves", "object": "we prove a scattering theoretical version of the berry - tabor conjecture : for an almost every surf"}
{"subject": "math:arxiv_39893", "predicate": "proves", "object": "we investigate the emergent universe scenario in the presence of interacting fluids . \n the non - li"}
{"subject": "math:arxiv_39897", "predicate": "proves", "object": "we determine the blocks of the brauer algebra in characteristic zero . \n we also give information on"}
{"subject": "math:arxiv_39899", "predicate": "proves", "object": "coalgebras for a functor model different types of transition systems in a uniform way . \n this paper"}
{"subject": "math:arxiv_39914", "predicate": "proves", "object": "in this paper , we introduce the fundamental notion of a markov basis , which is one of the first co"}
{"subject": "math:arxiv_39918", "predicate": "proves", "object": "using renormalization group techniques , we derive an extended short - pulse equation as approximati"}
{"subject": "math:arxiv_39924", "predicate": "proves", "object": "multicomponent kdv - systems are defined in terms of a set of structure constants and , as shown by "}
{"subject": "math:arxiv_39940", "predicate": "proves", "object": "involution words are variations of reduced words for twisted involutions in coxeter groups . \n they "}
{"subject": "math:arxiv_39948", "predicate": "proves", "object": "this paper initiates a systematic study of the relation of commensurability of surface automorphisms"}
{"subject": "math:arxiv_39976", "predicate": "proves", "object": "a morse 2-function is a generic map from a manifold @xmath0 of arbitrary finite dimension to a surfa"}
{"subject": "math:arxiv_39985", "predicate": "proves", "object": "we prove a version of the euler - lagrange equations for certain problems of the calculus of variati"}
{"subject": "math:arxiv_39998", "predicate": "proves", "object": "this work is devoted to the formulation and derivation of the @xmath0gamma and @xmath1gamma distribu"}
{"subject": "math:arxiv_40000", "predicate": "proves", "object": "this article gives a review of a recent construction , the ambient cosmological metric , and its imp"}
{"subject": "math:arxiv_40011", "predicate": "proves", "object": "in this study , we consider the asymptotic behaviour of the first discrete painlev equation in the l"}
{"subject": "math:arxiv_40012", "predicate": "proves", "object": "we present a method for the calculation of dynamical correlation functions of quantum impurity syste"}
{"subject": "math:arxiv_40029", "predicate": "proves", "object": "we present the minkowski space solutions of the inhomogeneous bethe - salpeter equation for spinless"}
{"subject": "math:arxiv_40031", "predicate": "proves", "object": "the chiral geometry of the multiple chiral doublet bands with identical configuration is discussed f"}
{"subject": "math:arxiv_40045", "predicate": "proves", "object": "we derive general approximate formulas that provide with remarkable accuracy the ground - state prop"}
{"subject": "math:arxiv_40047", "predicate": "proves", "object": "a detailed derivation of the master equation of the cavity radiation of a coherently prepared @xmath"}
{"subject": "math:arxiv_40065", "predicate": "proves", "object": "based on the consideration that the black hole horizon and the cosmological horizon of reissner - no"}
{"subject": "math:arxiv_40071", "predicate": "proves", "object": "we develop a variational method of deriving stochastic partial differential equations whose solution"}
{"subject": "math:arxiv_40117", "predicate": "proves", "object": "nanosprings have been object of intense investigations in recent years . \n they can be classified as"}
{"subject": "math:arxiv_40129", "predicate": "proves", "object": "formulating a statistical mechanics for granular matter remains a significant challenge , in part , "}
{"subject": "math:arxiv_40137", "predicate": "proves", "object": "we give a detailed proof of t. willwacher s theorem @xcite which links the cohomology of the full gr"}
{"subject": "math:arxiv_40148", "predicate": "proves", "object": "traditionally , phase transitions are defined in the thermodynamic limit only . \n we propose a new f"}
{"subject": "math:arxiv_40154", "predicate": "proves", "object": "we derive a coarse - grained equation of motion of a number density by applying the projection opera"}
{"subject": "math:arxiv_40155", "predicate": "proves", "object": "we study a class of stochastic evolution equations with a dissipative forcing nonlinearity and addit"}
{"subject": "math:arxiv_40177", "predicate": "proves", "object": "the growth of the primary tumor of metastatic colorectal cancer ( mcrc ) and associated angiogenesis"}
{"subject": "math:arxiv_40205", "predicate": "proves", "object": "the dynamical symmetry breaking in a two - field model is studied by numerically solving the coupled"}
{"subject": "math:arxiv_40215", "predicate": "proves", "object": "the fluctuation theorem is verified for black - body radiation , provided the bunching of photons is"}
{"subject": "math:arxiv_40234", "predicate": "proves", "object": "in the paper , we investigate a local boundary value problem with transmitting condition of the inte"}
{"subject": "math:arxiv_40259", "predicate": "proves", "object": "big bang nucleosynthesis requires a fine balance between equations of state for photons and relativi"}
{"subject": "math:arxiv_40279", "predicate": "proves", "object": "the combination of the lorentz symmetry and the strong subadditive property of the entropy leads to "}
{"subject": "math:arxiv_40280", "predicate": "proves", "object": "it has previously been proven that finding the globally minimum energy configuration of an atomic cl"}
{"subject": "math:arxiv_40282", "predicate": "proves", "object": "weyl - orbit functions have been defined for each simple lie algebra , and permit fourier - like ana"}
{"subject": "math:arxiv_40283", "predicate": "proves", "object": "we consider the analogue of the andr - oort conjecture for drinfeld modular varieties which was form"}
{"subject": "math:arxiv_40284", "predicate": "proves", "object": "we propose a communication - driven mechanism for predicting triadic closure in complex networks . \n"}
{"subject": "math:arxiv_40304", "predicate": "proves", "object": "this paper offers a new and complete description of subnormal solutions of certain non - homogeneous"}
{"subject": "math:arxiv_40330", "predicate": "proves", "object": "in this paper we study the skein modules of the surfaces , @xmath0 @xmath1 at @xmath2-th roots of un"}
{"subject": "math:arxiv_40331", "predicate": "proves", "object": "the proton - proton fusion rate is calculated at low energy in a lattice effective field theory ( ef"}
{"subject": "math:arxiv_40339", "predicate": "proves", "object": "the quantum boltzmann equation , or fokker - planck equation , has been used to successfully explain"}
{"subject": "math:arxiv_40352", "predicate": "proves", "object": "combining the characteristic method and the local discontinuous galerkin method with carefully const"}
{"subject": "math:arxiv_40376", "predicate": "proves", "object": "the paper is devoted to prove a version of milnor - moore theorem for connected braided bialgebras t"}
{"subject": "math:arxiv_40387", "predicate": "proves", "object": "we derive relativistic viscous hydrodynamic equations invoking the generalized second law of thermod"}
{"subject": "math:arxiv_40399", "predicate": "proves", "object": "we show soliton solutions of nonlinear schrdinger equation on simple networks consisting of vertices"}
{"subject": "math:arxiv_40415", "predicate": "proves", "object": "we study the geometric phase phenomenon in the context of the adiabatic floquet theory ( the so - ca"}
{"subject": "math:arxiv_40417", "predicate": "proves", "object": "we provide a finite basis for the ( in)equational theory of the process algebra bccs modulo the weak"}
{"subject": "math:arxiv_40422", "predicate": "proves", "object": "upstream reciprocity ( also called generalized reciprocity ) is a putative mechanism for cooperation"}
{"subject": "math:arxiv_40428", "predicate": "proves", "object": "in this paper the effect of a small dissipation on waves is included to find exact solutions to the "}
{"subject": "math:arxiv_40438", "predicate": "proves", "object": "consider distributional fixed point equations of the form @xmath0 where @xmath1 is a possibly random"}
{"subject": "math:arxiv_40439", "predicate": "proves", "object": "in the complex - riemannian framework we show that a conformal manifold containing a compact , simpl"}
{"subject": "math:arxiv_40441", "predicate": "proves", "object": "we study phase portraits of a first order implicit differential equation in a neighborhood of its pl"}
{"subject": "math:arxiv_40444", "predicate": "proves", "object": "the spectrum of the hermitian hamiltonian @xmath0 is real and discrete if the potential @xmath1 as @"}
{"subject": "math:arxiv_40453", "predicate": "proves", "object": "plotting solution sets for particular equations may be complicated by the existence of turning point"}
{"subject": "math:arxiv_40459", "predicate": "proves", "object": "the concept of a normal surface in a triangulated , compact 3manifold was generalised by thurston to"}
{"subject": "math:arxiv_40484", "predicate": "proves", "object": "we introduce a new time - domain method for computing the self - force acting on a scalar particle i"}
{"subject": "math:arxiv_40508", "predicate": "proves", "object": "in this paper , we propose distributed solvers for systems of linear equations given by symmetric di"}
{"subject": "math:arxiv_40515", "predicate": "proves", "object": "in 1985 kevin walker in his study of topology of polygon spaces @xcite raised an interesting conject"}
{"subject": "math:arxiv_40536", "predicate": "proves", "object": "this paper concentrates on a ( 1 + 1)-dimensional nonlinear dirac ( nld ) equation with a general se"}
{"subject": "math:arxiv_40547", "predicate": "proves", "object": "nambu - goto model is investigated by using the canonical monte carlo simulations on fixed connectiv"}
{"subject": "math:arxiv_40581", "predicate": "proves", "object": "we propose a novel approach to solve the three - nucleon ( 3n ) faddeev equation which avoids the co"}
{"subject": "math:arxiv_40613", "predicate": "proves", "object": "the spatial arrangement of individuals is thought to overcome the dilemma of cooperation : when coop"}
{"subject": "math:arxiv_40624", "predicate": "proves", "object": "we introduce some approximation schemes for linear and fully non - linear diffusion equations of bel"}
{"subject": "math:arxiv_40625", "predicate": "proves", "object": "we analyze the renormalization group equations for the standard model at the one and two loops level"}
{"subject": "math:arxiv_40651", "predicate": "proves", "object": "the swept - field experiments on magnetic molecular solids such as 8 are studied using monte carlo s"}
{"subject": "math:arxiv_40676", "predicate": "proves", "object": "our understanding of the one - dimensional kpz equation , _ alias _ noisy burgers equation , has adv"}
{"subject": "math:arxiv_40677", "predicate": "proves", "object": "the present paper proposes and analyzes an interior penalty technique using @xmath0-finite elements "}
{"subject": "math:arxiv_40679", "predicate": "proves", "object": "we investigate the phononic energy transport properties of mesoscopic , suspended dielectric wires ."}
{"subject": "math:arxiv_40699", "predicate": "proves", "object": "we present an operator - algebraic approach to deriving the low - lying quasi - degenerate spectrum "}
{"subject": "math:arxiv_40702", "predicate": "proves", "object": "we describe a new method to compute general cubature formulae . the problem is initially transformed"}
{"subject": "math:arxiv_40711", "predicate": "proves", "object": "pacs number    the method is an extension to negative energies of a spectral integral equation metho"}
{"subject": "math:arxiv_40722", "predicate": "proves", "object": "approximate analytical solutions of a two - term potential are studied for the relativistic wave equ"}
{"subject": "math:arxiv_40724", "predicate": "proves", "object": "an agent - based model of population dynamics is presented . \n the model has as its expected behavio"}
{"subject": "math:arxiv_40727", "predicate": "proves", "object": "assuming the magnetic hypothesis for the formation of warps , we deduce a very simple formula for th"}
{"subject": "math:arxiv_40729", "predicate": "proves", "object": "an efficient method is presented as a means of an approximate , analytic time - dependent solution o"}
{"subject": "math:arxiv_40736", "predicate": "proves", "object": "the problem of finding sparse solutions to underdetermined systems of linear equations arises in sev"}
{"subject": "math:arxiv_40744", "predicate": "proves", "object": "we compute the hilbert series of general weighted flag varieties and discuss a computer - aided meth"}
{"subject": "math:arxiv_40745", "predicate": "proves", "object": "let @xmath0 be the three - rowed strip . \n recently regev conjectured that the number of standard yo"}
{"subject": "math:arxiv_40753", "predicate": "proves", "object": "we calculate , to 3 loops in perturbation theory , the bare @xmath0-function of qcd , formulated on "}
{"subject": "math:arxiv_40755", "predicate": "proves", "object": "based on the formulation of yang - baxter sigma models developed by klimcik and delduc - magro - vic"}
{"subject": "math:arxiv_40762", "predicate": "proves", "object": "discrete dynamical systems over finite fields are investigated and their integrability is discussed "}
{"subject": "math:arxiv_40769", "predicate": "proves", "object": "we provide a way to infer about existence of topological circularity in high - dimensional data sets"}
{"subject": "math:arxiv_40773", "predicate": "proves", "object": "we revisit the two vortex merger problem ( symmetric and asymmetric ) for the navier - stokes equati"}
{"subject": "math:arxiv_40775", "predicate": "proves", "object": "a compact hyperbolic `` cobweb '' manifold ( hyperbolic space form ) of symbol @xmath0 will be const"}
{"subject": "math:arxiv_40787", "predicate": "proves", "object": "a linear stability analysis has been done to a magnetized disk under a linear gravity . \n we have re"}
{"subject": "math:arxiv_40798", "predicate": "proves", "object": "the recent type ia supernova data suggest that the universe is accelerating now and decelerated in r"}
{"subject": "math:arxiv_40809", "predicate": "proves", "object": "we study supersymmetric solutions in 7- and 8-dimensional abelian heterotic supergravity theories . "}
{"subject": "math:arxiv_40818", "predicate": "proves", "object": "we derive ehrenfest like equations for the coupled gross pitaevskii equations ( cgpe ) which describ"}
{"subject": "math:arxiv_40845", "predicate": "proves", "object": "we develop a first - principles electron - transport simulator based on the lippmann \n schwinger ( l"}
{"subject": "math:arxiv_40846", "predicate": "proves", "object": "a qcd - motivated dynamical - quasiparticle model with parameters adjusted to reproduce the lattice "}
{"subject": "math:arxiv_40857", "predicate": "proves", "object": "spatiotemporal evolution of a confined bose - einstein condensate is studied by numerically integrat"}
{"subject": "math:arxiv_40858", "predicate": "proves", "object": "the cross - newell equations for hexagons and triangles are derived for general real gradient system"}
{"subject": "math:arxiv_40859", "predicate": "proves", "object": "we show that the gravitational binding energy of a neutron star of a given mass is correlated with t"}
{"subject": "math:arxiv_40873", "predicate": "proves", "object": "elementary features of galileon models are discussed at an introductory level .  following a simple "}
{"subject": "math:arxiv_40913", "predicate": "proves", "object": "we study a multipole vector - based decomposition of cosmic microwave background ( cmb ) data in ord"}
{"subject": "math:arxiv_40932", "predicate": "proves", "object": "circular orbits of spinning test particles and their stability in schwarzschild - like backgrounds a"}
{"subject": "math:arxiv_40944", "predicate": "proves", "object": "the thouless , anderson , palmer ( tap ) approach to thermodynamics of mean field spin - glasses is "}
{"subject": "math:arxiv_40957", "predicate": "proves", "object": "new formulas to calculate the nuclear charge radii and the nuclear binding energies have been obtain"}
{"subject": "math:arxiv_40975", "predicate": "proves", "object": "topological media are gapped or gapless fermionic systems , whose properties are protected by topolo"}
{"subject": "math:arxiv_40979", "predicate": "proves", "object": "any constant - scalar - curvature khler ( csck ) metric on a complex surface may be viewed as a solu"}
{"subject": "math:arxiv_40986", "predicate": "proves", "object": "in the present paper we review our project of systematic construction of invariant differential oper"}
{"subject": "math:arxiv_40987", "predicate": "proves", "object": "we determine the asymptotics of the joint eigenfunctions of the torus action on a toric khler variet"}
{"subject": "math:arxiv_40991", "predicate": "proves", "object": "we discuss some aspects of the approach of the mass parameters by means of the simple cranking model"}
{"subject": "math:arxiv_40993", "predicate": "proves", "object": "as a canonical and generally covariant gauge theory , loop quantum gravity requires special techniqu"}
{"subject": "math:arxiv_41012", "predicate": "proves", "object": "the problem of stock hedging is reconsidered in this paper , where a put option is chosen from a set"}
{"subject": "math:arxiv_41016", "predicate": "proves", "object": "we employ the landau - lifshitz - bloch ( llb ) equation to investigate current - induced domain wal"}
{"subject": "math:arxiv_41024", "predicate": "proves", "object": "we describe a method to identify inclined water maser disks orbiting massive black holes and to pote"}
{"subject": "math:arxiv_41029", "predicate": "proves", "object": "quillen s famous plus construction plays an important role in many aspects of manifold topology . in"}
{"subject": "math:arxiv_41045", "predicate": "proves", "object": "in this letter we provide a reformulation of the strong cosmic censor conjecture taking into account"}
{"subject": "math:arxiv_41057", "predicate": "proves", "object": "we use a special version of the corona theorem in several variables , valid when all but one of the "}
{"subject": "math:arxiv_41061", "predicate": "proves", "object": "we have measured a precessing superfluid vortex line , stretched from a wire to the wall of a cylind"}
{"subject": "math:arxiv_41063", "predicate": "proves", "object": "we consider symmetry as a foundational concept in quantum mechanics and rewrite quantum mechanics an"}
{"subject": "math:arxiv_41066", "predicate": "proves", "object": "numerical simulations of the time - dependent swift - hohenberg equation are used to test prediction"}
{"subject": "math:arxiv_41067", "predicate": "proves", "object": "the purpose of this paper is to derive the anisotropic averaged euler equations and to study their g"}
{"subject": "math:arxiv_41104", "predicate": "proves", "object": "in homogeneous cosmologies , quantum geometry effects lead to a resolution of the classical singular"}
{"subject": "math:arxiv_41139", "predicate": "proves", "object": "direct observations provide constraints on the first two derivatives of the inflaton potential in sl"}
{"subject": "math:arxiv_41160", "predicate": "proves", "object": "euler calculus is based on integrating simple functions with respect to the euler characteristic . \n"}
{"subject": "math:arxiv_41165", "predicate": "proves", "object": "this paper has various goals : first , we develop a local and global well - posedness theory for the"}
{"subject": "math:arxiv_41169", "predicate": "proves", "object": "in the direct action form of classical em we give the equation of motion for a classical massless ba"}
{"subject": "math:arxiv_41176", "predicate": "proves", "object": "we formulate and prove a periodic analog of maxwell s theorem relating stressed planar frameworks an"}
{"subject": "math:arxiv_41182", "predicate": "proves", "object": "we compute the initial energy densities produced in ultrarelativistic heavy - ion collisions from nl"}
{"subject": "math:arxiv_41198", "predicate": "proves", "object": "as indicated by einstein s general relativity , matter and geometry are two faces of a single nature"}
{"subject": "math:arxiv_41210", "predicate": "proves", "object": "a monte carlo program solving boltzmann equation for partons via cascade method is presented . at pr"}
{"subject": "math:arxiv_41218", "predicate": "proves", "object": "the schouten tensor  @xmath0  of a riemannian manifold  @xmath1  provides important scalar curvature"}
{"subject": "math:arxiv_41226", "predicate": "proves", "object": "the modulational stability of the nonlinear schrdinger ( nls ) equation is examined in the case with"}
{"subject": "math:arxiv_41230", "predicate": "proves", "object": "a random lie group action on a compact manifold generates a discrete time markov process . the main "}
{"subject": "math:arxiv_41235", "predicate": "proves", "object": "we explore the evolutionary dynamics of two games  the prisoner s dilemma and the snowdrift game  pl"}
{"subject": "math:arxiv_41240", "predicate": "proves", "object": "these expository notes are centered around the circular law theorem , which states that the empirica"}
{"subject": "math:arxiv_41255", "predicate": "proves", "object": "we consider solutions to the linear wave equation @xmath0 on a ( maximally extended ) schwarzschild "}
{"subject": "math:arxiv_41267", "predicate": "proves", "object": "the drinfeld double @xmath0 of a finite - dimensional hopf algebra @xmath1 is a hopf algebraic count"}
{"subject": "math:arxiv_41283", "predicate": "proves", "object": "asymptotic formulae for likelihood - based tests of new physics \" presents a mathematical formalism "}
{"subject": "math:arxiv_41285", "predicate": "proves", "object": "we derive the analytic formula of the growth index for @xmath0 dark energy model where the effect on"}
{"subject": "math:arxiv_41297", "predicate": "proves", "object": "fission dynamics of excited nuclei is studied in the framework of langevin equation . \n the one body"}
{"subject": "math:arxiv_41315", "predicate": "proves", "object": "in this paper , we develop an elementary proof of the change of variables in multiple integrals . \n "}
{"subject": "math:arxiv_41316", "predicate": "proves", "object": "the following is a compilation of some techniques in alexandrov s geometry which are directly connec"}
{"subject": "math:arxiv_41317", "predicate": "proves", "object": "in this paper it is demonstrated how rigorous numerics may be applied to the one - dimensional nonli"}
{"subject": "math:arxiv_41319", "predicate": "proves", "object": "we study the stability of static black holes in the third order lovelock theory . \n we derive a mast"}
{"subject": "math:arxiv_41325", "predicate": "proves", "object": "examination of symmetry energy is carried out on the basis of an elementary binding - energy formula"}
{"subject": "math:arxiv_41328", "predicate": "proves", "object": "real - life conjectures do not come with instructions saying whether they they should be proven or ,"}
{"subject": "math:arxiv_41330", "predicate": "proves", "object": "the recent conjecture of a topologically - protected surface state in smb@xmath0 and the verificatio"}
{"subject": "math:arxiv_41351", "predicate": "proves", "object": "we investigate the quantum decoherence of frequency and polarization variables of photons via polari"}
{"subject": "math:arxiv_41384", "predicate": "proves", "object": "we re - explore the kinetics of spinodal decomposition in off - critical polymer blends through nume"}
{"subject": "math:arxiv_41406", "predicate": "proves", "object": "we utilize undetermined coefficient method and an iterative method to construct the series solutions"}
{"subject": "math:arxiv_41437", "predicate": "proves", "object": "we have carried out numerical simulation based on the equations of radiation magnetohydrodynamics to"}
{"subject": "math:arxiv_41440", "predicate": "proves", "object": "we study simplices with equiareal faces in the euclidean 3-space by means of elementary geometry . \n"}
{"subject": "math:arxiv_41442", "predicate": "proves", "object": "we propose a trick which enables one to incorporate the gribov horizon into the schwinger - dyson eq"}
{"subject": "math:arxiv_41462", "predicate": "proves", "object": "we reformulate the lanczos algorithm for quantum wave function propagation in terms of variational p"}
{"subject": "math:arxiv_41464", "predicate": "proves", "object": "we study the evolution of turbulence in the early universe at the qcd epoch using a state - of - the"}
{"subject": "math:arxiv_41472", "predicate": "proves", "object": "the nuclear gross theory , originally formulated by takahashi and yamada for the @xmath0-decays , is"}
{"subject": "math:arxiv_41474", "predicate": "proves", "object": "we compare four different methods that can be used to analyze the type ia supernovae ( snia ) data ,"}
{"subject": "math:arxiv_41483", "predicate": "proves", "object": "a short formula is suggested which approximates photon trajectories in the schwarzschild field bette"}
{"subject": "math:arxiv_41489", "predicate": "proves", "object": "this paper provides sharp lower estimates near the origin for the functional calculus @xmath0 of a g"}
{"subject": "math:arxiv_41501", "predicate": "proves", "object": "in these notes we give an introduction to the concept of spaces with @xmath0structure and their stru"}
{"subject": "math:arxiv_41502", "predicate": "proves", "object": "we investigate the existence of nodal ( sign - changing ) solutions to the dirichlet problem for a t"}
{"subject": "math:arxiv_41522", "predicate": "proves", "object": "we present a practical algorithm based on symplectic splitting methods to integrate numerically in t"}
{"subject": "math:arxiv_41534", "predicate": "proves", "object": "in this paper a novel numerical scheme for finding the sparse self - localized states of a nonlinear"}
{"subject": "math:arxiv_41537", "predicate": "proves", "object": "we give an algorithmic proof of the theorem that a closed orientable irreducible and atoroidal 3-man"}
{"subject": "math:arxiv_41541", "predicate": "proves", "object": "geometry of the universe has always intrigued mathematicians and cosmologists . recent results from "}
{"subject": "math:arxiv_41554", "predicate": "proves", "object": "we show here that the nielsen core of the bumping set of the domain of discontinuity of a kleinian g"}
{"subject": "math:arxiv_41564", "predicate": "proves", "object": "we generalize the spin meissner effect for exciton - polariton condensate confined in annular geomet"}
{"subject": "math:arxiv_41569", "predicate": "proves", "object": "following the historical track in pursuing @xmath0-equivariant flat toric degenerations of flag vari"}
{"subject": "math:arxiv_41577", "predicate": "proves", "object": "magnetic reconnection changes the magnetic field topology and powers explosive events in astrophysic"}
{"subject": "math:arxiv_41583", "predicate": "proves", "object": "we have proposed new algorithms for the numerical integration of the equations of motion for classic"}
{"subject": "math:arxiv_41587", "predicate": "proves", "object": "we quantize spherically symmetric electrovacuum gravity . \n the algebra of hamiltonian constraints c"}
{"subject": "math:arxiv_41595", "predicate": "proves", "object": "we study an integrable conformal @xmath0 supercoset model as an analog to the @xmath1 superstring wo"}
{"subject": "math:arxiv_41642", "predicate": "proves", "object": "we revisit in this work the problem of the maximum masses of magnetized white dwarfs ( wd ) . \n the "}
{"subject": "math:arxiv_41671", "predicate": "proves", "object": "we present a physical example , where a fractional ( both in space and time ) schrdinger equation ap"}
{"subject": "math:arxiv_41680", "predicate": "proves", "object": "we investigate the dynamics of photoexcited carriers and nonequilibrium phonons in graphene by solvi"}
{"subject": "math:arxiv_41692", "predicate": "proves", "object": "we define strebel differentials for stable complex curves , prove the existence and uniqueness theor"}
{"subject": "math:arxiv_41702", "predicate": "proves", "object": "the multiple colliding laser pulse concept formulated in ref . \n @xcite is beneficial for achieving "}
{"subject": "math:arxiv_41711", "predicate": "proves", "object": "the petrov solution ( for @xmath0 ) and the kaigorodov - ozsvth solution ( for @xmath1 ) provide exa"}
{"subject": "math:arxiv_41752", "predicate": "proves", "object": "we present arguments for the existence of both globally regular and black hole solutions of the eins"}
{"subject": "math:arxiv_41754", "predicate": "proves", "object": "for a hamiltonian , proper and free action of a lie group @xmath0 on a dirac manifold @xmath1 , with"}
{"subject": "math:arxiv_41774", "predicate": "proves", "object": "* abstract : * the one - dimensional schrdinger s equation is analysed with regard to the existence "}
{"subject": "math:arxiv_41792", "predicate": "proves", "object": "quantum electrodynamics in a laser is formulated , in which the electron - laser interaction is exac"}
{"subject": "math:arxiv_41813", "predicate": "proves", "object": "we analyse the classical and quantum geometry of the barrett - crane spin foam model for four dimens"}
{"subject": "math:arxiv_41814", "predicate": "proves", "object": "according to the theory of quantum electrodynamics , photon - photon scattering can take place via e"}
{"subject": "math:arxiv_41827", "predicate": "proves", "object": "in the case of nonzero fermion mass , within a range of @xmath0 for the full fermion - boson vertex "}
{"subject": "math:arxiv_41833", "predicate": "proves", "object": "regression is widely used by practioners across many disciplines . \n we reformulate the underlying o"}
{"subject": "math:arxiv_41863", "predicate": "proves", "object": "this article provides a simple pictorial introduction to universal hyperbolic geometry . we explain "}
{"subject": "math:arxiv_41897", "predicate": "proves", "object": "in this paper , a new filtering method is presented for simultaneous noise reduction and enhancement"}
{"subject": "math:arxiv_41900", "predicate": "proves", "object": "the multiple zeta values are multivariate generalizations of the values of the riemann zeta function"}
{"subject": "math:arxiv_41902", "predicate": "proves", "object": "we provide a logarithmic upper bound for the disentangling number on unordered lists of leaf labeled"}
{"subject": "math:arxiv_41907", "predicate": "proves", "object": "cells sense the geometry and stiffness of their adhesive environment by active contractility . for s"}
{"subject": "math:arxiv_41916", "predicate": "proves", "object": "recently yksel et . \n al . \n @xcite shows that there does nt exist any proper semi - slant warped pr"}
{"subject": "math:arxiv_41919", "predicate": "proves", "object": "we consider certain groups of tree automorphisms as so - called diffeological groups . the notion of"}
{"subject": "math:arxiv_41929", "predicate": "proves", "object": "we suggest the construction of a set of the quantum hydrodynamics equations for the bose - einstein "}
{"subject": "math:arxiv_41933", "predicate": "proves", "object": "a discrete divergence free weak galerkin finite element method is developed for the stokes equations"}
{"subject": "math:arxiv_41952", "predicate": "proves", "object": "in this paper we study the strong gravitational lensing scenario where the lens is a reissner - nord"}
{"subject": "math:arxiv_41959", "predicate": "proves", "object": "we consider a friedmann - robertson - walker universe with a fluid source obeying a non - ideal equa"}
{"subject": "math:arxiv_41962", "predicate": "proves", "object": "in this article , we first present the construction of gibbs measures associated to nonlinear schrdi"}
{"subject": "math:arxiv_42001", "predicate": "proves", "object": "the relation between nilmanifolds with left - invariant complex structure and iterated principal hol"}
{"subject": "math:arxiv_42018", "predicate": "proves", "object": "using an approximate analytical solution of the cahn - hilliard equation describing the coalescence "}
{"subject": "math:arxiv_42031", "predicate": "proves", "object": "in @xcite we have shown that if a compact riemann surface admits a strebel differential with rationa"}
{"subject": "math:arxiv_42034", "predicate": "proves", "object": "let @xmath0 be a gorenstein orbifold with projective coarse moduli space @xmath1 and let @xmath2 be "}
{"subject": "math:arxiv_42042", "predicate": "proves", "object": "the contribution to the binding energy of a two - body system due to the crossed two - boson exchang"}
{"subject": "math:arxiv_42048", "predicate": "proves", "object": "a simple model , based on the analytical formula for the compton scattering , is proposed to describ"}
{"subject": "math:arxiv_42098", "predicate": "proves", "object": "we introduce a general technique to compute finite temperature electronic properties by a novel cova"}
{"subject": "math:arxiv_42110", "predicate": "proves", "object": "this paper generalizes bass work on zeta functions for uniform tree lattices . using the theory of v"}
{"subject": "math:arxiv_42124", "predicate": "proves", "object": "in this paper , we consider a multi - agent consensus problem with an active leader and variable int"}
{"subject": "math:arxiv_42138", "predicate": "proves", "object": "the motion of binary star systems is re - examined in the presence of perturbations from the theory "}
{"subject": "math:arxiv_42141", "predicate": "proves", "object": "molecular dynamics simulations and integral equation calculations of a simple equimolar mixture of d"}
{"subject": "math:arxiv_42145", "predicate": "proves", "object": "within bohm s interpretation of quantum mechanics particles follow `` classical '' trajectories that"}
{"subject": "math:arxiv_42154", "predicate": "proves", "object": "the concept of diagrammatic combinatorial hopf algebras in the form introduced for describing the he"}
{"subject": "math:arxiv_42174", "predicate": "proves", "object": "a morse @xmath0function is a generic smooth map from a smooth manifold to a surface . in the absence"}
{"subject": "math:arxiv_42178", "predicate": "proves", "object": "we prove there are exactly @xmath0 arithmetic lattices of hyperbolic @xmath1-space which are generat"}
{"subject": "math:arxiv_42183", "predicate": "proves", "object": "if a simple @xmath0-manifold @xmath1 admits a reducible and a toroidal dehn filling , the distance b"}
{"subject": "math:arxiv_42193", "predicate": "proves", "object": "the noise decoupling problem is investigated for general n - level markovian open quantum systems . "}
{"subject": "math:arxiv_42233", "predicate": "proves", "object": "we study the 2-d helmholtz equation in perturbed stratified media , allowing the existence of guided"}
{"subject": "math:arxiv_42239", "predicate": "proves", "object": "the standard approach for integrating the multidimensional vlasov equation using grid based , conser"}
{"subject": "math:arxiv_42242", "predicate": "proves", "object": "in this paper , we take a unified approach for network information theory and prove a coding theorem"}
{"subject": "math:arxiv_42249", "predicate": "proves", "object": "in this paper we analyze the effect of a non - trivial topology on the dynamics of the so - called n"}
{"subject": "math:arxiv_42257", "predicate": "proves", "object": "we obtain sharp criteria for transverse stability and instability of line solitons in the discrete n"}
{"subject": "math:arxiv_42260", "predicate": "proves", "object": "in the note , we give a proof , based on the generalized thom conjecture , of bennequin s theorem on"}
{"subject": "math:arxiv_42267", "predicate": "proves", "object": "based on the lue - starkman conjecture on the dynamical screening of the brane cosmological constant"}
{"subject": "math:arxiv_42276", "predicate": "proves", "object": "for given non - zero integers @xmath0 we investigate the density of solutions @xmath1 to the binary "}
{"subject": "math:arxiv_42282", "predicate": "proves", "object": "nonextensive statistical mechanics has been a source of investigation in mathematical structures suc"}
{"subject": "math:arxiv_42309", "predicate": "proves", "object": "a new and computationally viable full quantum version of line shape theory is obtained in terms of a"}
{"subject": "math:arxiv_42312", "predicate": "proves", "object": "link between quadratic exponential functions and natural numbers is investigated through classical a"}
{"subject": "math:arxiv_42317", "predicate": "proves", "object": "a new approach for the construction of high order a - stable explicit integrators for ordinary diffe"}
{"subject": "math:arxiv_42318", "predicate": "proves", "object": "we use the isotropic projection of laguerre geometry in order to establish a correspondence between "}
{"subject": "math:arxiv_42339", "predicate": "proves", "object": "the _ frequency - agile solar radiotelescope ( fasr ) _ litteraly opens up a new dimension in additi"}
{"subject": "math:arxiv_42345", "predicate": "proves", "object": "we prove a converse to myhill s `` garden - of - eden '' theorem and obtain in this manner a charact"}
{"subject": "math:arxiv_42368", "predicate": "proves", "object": "we model the @xmath0 system at rest as a baryon number zero lump in the skyrme model including the @"}
{"subject": "math:arxiv_42383", "predicate": "proves", "object": "we show that the @xmath0 power corrections to the ultraviolet asymptotic solutions are allowed as co"}
{"subject": "math:arxiv_42386", "predicate": "proves", "object": "we study the internal controllability of the semilinear wave equation @xmath0 for some nonlinearitie"}
{"subject": "math:arxiv_42387", "predicate": "proves", "object": "in this paper we define and present a simple combinatorial formula for a 3-variable laurent polynomi"}
{"subject": "math:arxiv_42392", "predicate": "proves", "object": "three - body hadronic models with separable pairwise interactions are formulated and solved to calcu"}
{"subject": "math:arxiv_42393", "predicate": "proves", "object": "we conjecture a topology changing transition in m - theory on a non - compact asymptotically conical"}
{"subject": "math:arxiv_42399", "predicate": "proves", "object": "we investigate by direct numerical solution of appropriate renormalization flow equations , the vali"}
{"subject": "math:arxiv_42409", "predicate": "proves", "object": "numerical simulations of the recently derived fully nonlinear equations of motion for weakly three -"}
{"subject": "math:arxiv_42411", "predicate": "proves", "object": "let @xmath0 be a compact manifold . \n we show the identity component @xmath1 of the group of self - "}
{"subject": "math:arxiv_42420", "predicate": "proves", "object": "it has been shown experimentally that a decimation algorithm based on survey propagation ( sp ) equa"}
{"subject": "math:arxiv_42430", "predicate": "proves", "object": "we propose a robust a posteriori error estimator for the hybridizable discontinuous galerkin ( hdg )"}
{"subject": "math:arxiv_42434", "predicate": "proves", "object": "we develop a theory for transit times and mean ages for nonautonomous compartmental systems . using "}
{"subject": "math:arxiv_42435", "predicate": "proves", "object": "two local discontinuous galerkin ( ldg ) methods using some non - standard numerical fluxes are deve"}
{"subject": "math:arxiv_42439", "predicate": "proves", "object": "we are interested in a class of numerical schemes for the optimization of nonlinear hyperbolic parti"}
{"subject": "math:arxiv_42455", "predicate": "proves", "object": "a new approach to study the equation of state in finite - temperature qcd is proposed on the lattice"}
{"subject": "math:arxiv_42456", "predicate": "proves", "object": "we employ the framework of bethe - salpeter equation under covariant instantaneous ansatz to study t"}
{"subject": "math:arxiv_42458", "predicate": "proves", "object": "the tensor analyzing power of the process @xmath0 , for forward deuteron scattering in the momentum "}
{"subject": "math:arxiv_42486", "predicate": "proves", "object": "a pde system consisting of the momentum balance , mass balance , and energy balance equations for di"}
{"subject": "math:arxiv_42497", "predicate": "proves", "object": "the euler equation ( ee ) is one of the basic equations in many physical fields such as fluids , pla"}
{"subject": "math:arxiv_42506", "predicate": "proves", "object": "@xmath0-nuclear bound state energies are calculated for a range of nuclei by solving the proca ( kle"}
{"subject": "math:arxiv_42516", "predicate": "proves", "object": "the leading soft gluon @xmath0 distribution in heavy ion collisions was obtained by kovner , mclerra"}
{"subject": "math:arxiv_42520", "predicate": "proves", "object": "several relevant aspects of quantum - field processes can be well described by semiclassical methods"}
{"subject": "math:arxiv_42528", "predicate": "proves", "object": "we study the fractal geometry of o(@xmath0 ) loop configurations in two dimensions by means of scali"}
{"subject": "math:arxiv_42529", "predicate": "proves", "object": "the development of randomized algorithms for numerical linear algebra , e.g.  for computing approxim"}
{"subject": "math:arxiv_42594", "predicate": "proves", "object": "in this paper , two parametric probability distributions capable to describe the statistics of x - r"}
{"subject": "math:arxiv_42595", "predicate": "proves", "object": "we study the one - dimensional schrdinger equation with a disordered potential of the form @xmath0 w"}
{"subject": "math:arxiv_42615", "predicate": "proves", "object": "we derive general analytic formulae for the matrix elements of the su(6 ) generators for mixed symme"}
{"subject": "math:arxiv_42636", "predicate": "proves", "object": "the isometric immersion of two - dimensional riemannian manifolds or surfaces with negative gauss cu"}
{"subject": "math:arxiv_42638", "predicate": "proves", "object": "we establish two comparison results between the solutions of a class of mean curvature equations and"}
{"subject": "math:arxiv_42670", "predicate": "proves", "object": "we present a derivation of 2pn / rm metric field equations from the einstein field equation in gener"}
{"subject": "math:arxiv_42677", "predicate": "proves", "object": "in this paper we prove that certain matrix elements of vertex operators of deformed w - algebra sati"}
{"subject": "math:arxiv_42697", "predicate": "proves", "object": "we consider a family of exact boost invariant solutions of the transport equation for free streaming"}
{"subject": "math:arxiv_42711", "predicate": "proves", "object": "three types of streamline topology in a krmn vortex street flow are shown under the variation of spa"}
{"subject": "math:arxiv_42728", "predicate": "proves", "object": "a new analytical approach , beyond rotating wave approximation , based on unitary transformations an"}
{"subject": "math:arxiv_42739", "predicate": "proves", "object": "it is shown that general solutions of the free - particle schrdinger equation can be mapped onto sol"}
{"subject": "math:arxiv_42771", "predicate": "proves", "object": "in order to formulate mathematical conjectures likely to be true , a number of base cases must be de"}
{"subject": "math:arxiv_42772", "predicate": "proves", "object": "we construct the hermite  halphen  bloch solution for the two - gap ( @xmath0 ) lam equation of jaco"}
{"subject": "math:arxiv_42778", "predicate": "proves", "object": "various aspects of morita theory of deformed algebras and in particular of star product algebras on "}
{"subject": "math:arxiv_42788", "predicate": "proves", "object": "we perform a numerical simulation of mapping of charge confined in quantum dots by the scanning prob"}
{"subject": "math:arxiv_42803", "predicate": "proves", "object": "we have analyzed the singularities of a triangle loop integral in detail and derived a formula for a"}
{"subject": "math:arxiv_42807", "predicate": "proves", "object": "we describe a partition of the double flag variety @xmath0 of a complex semisimple algebraic group @"}
{"subject": "math:arxiv_42811", "predicate": "proves", "object": "using a calculus of variations approach , we determine the shape of a typical plane partition in a l"}
{"subject": "math:arxiv_42823", "predicate": "proves", "object": "we study the ideal generated by polynomials vanishing on a semialgebraic set and propose an algorith"}
{"subject": "math:arxiv_42826", "predicate": "proves", "object": "in this paper we study the sound speed - @xmath0 , which is directly related to the classical pertur"}
{"subject": "math:arxiv_42841", "predicate": "proves", "object": "reformulating the instantons in a complex plane for tunneling or transmitting states , we calculate "}
{"subject": "math:arxiv_42850", "predicate": "proves", "object": "we introduce a low mach number equation set for the large - scale numerical simulation of carbon - o"}
{"subject": "math:arxiv_42857", "predicate": "proves", "object": "stochastic maxwell equations with additive noise are a system of stochastic hamiltonian partial diff"}
{"subject": "math:arxiv_42865", "predicate": "proves", "object": "using the closed - time - path formalism we quantify gradient corrections to the kinetic equations f"}
{"subject": "math:arxiv_42866", "predicate": "proves", "object": "two different solutions of the linearized vlasov equation for finite systems , characterized by fixe"}
{"subject": "math:arxiv_42901", "predicate": "proves", "object": "we describe the statistical mechanics of a melting crystal in three dimensions and its relation to a"}
{"subject": "math:arxiv_42909", "predicate": "proves", "object": "we define a coalgebra structure for open strings transverse to any framed codimension 2 submanifold "}
{"subject": "math:arxiv_42950", "predicate": "proves", "object": "in this paper , we prove results concerning the large scale geometry of connected , simply connected"}
{"subject": "math:arxiv_42951", "predicate": "proves", "object": "a class of metrics solving einstein s equations with negative cosmological constant and representing"}
{"subject": "math:arxiv_42952", "predicate": "proves", "object": "we prove local unique solvability of the wave equation for a large class of weakly singular , locall"}
{"subject": "math:arxiv_42970", "predicate": "proves", "object": "we set up the classical wave equation for a particle formed of an oscillatory zero - rest - mass cha"}
{"subject": "math:arxiv_42975", "predicate": "proves", "object": "we extend the formulation of the original erds - faber - lov ' asz conjecture to complete geometric "}
{"subject": "math:arxiv_43013", "predicate": "proves", "object": "we study a non - perturbative formulation of @xmath0 super yang - mills theory ( sym ) on @xmath1 pr"}
{"subject": "math:arxiv_43015", "predicate": "proves", "object": "factor analysis provides linear factors that describe relationships between individual variables of "}
{"subject": "math:arxiv_43016", "predicate": "proves", "object": "we describe the generators and prove a number of relations for the construction of a planar algebra "}
{"subject": "math:arxiv_43019", "predicate": "proves", "object": "let @xmath0 be a closed riemannian manifold of dimension @xmath1 . \n let @xmath2 be an eigenfunction"}
{"subject": "math:arxiv_43022", "predicate": "proves", "object": "in this note we give an algebraic and topological interpretation of essential coordinate components "}
{"subject": "math:arxiv_43032", "predicate": "proves", "object": "we prove two types of functional equations for double series of euler type with complex coefficients"}
{"subject": "math:arxiv_43038", "predicate": "proves", "object": "stratified flops show up in the birational geometry of symplectic varieties such as resolutions of n"}
{"subject": "math:arxiv_43039", "predicate": "proves", "object": "meyniel s conjecture is one of the deepest open problems on the cop number of a graph . \n it states "}
{"subject": "math:arxiv_43044", "predicate": "proves", "object": "one of the main elements of the self - consistent generalized langevin equation ( scgle ) theory of "}
{"subject": "math:arxiv_43054", "predicate": "proves", "object": "a zero - one law of engelbert  schmidt type is proven for the norm process of a transient random wal"}
{"subject": "math:arxiv_43059", "predicate": "proves", "object": "linear systems with large differences between coefficients ( `` discontinuous coefficients '' ) aris"}
{"subject": "math:arxiv_43085", "predicate": "proves", "object": "we study the set of solutions of random @xmath0-satisfiability formulae through the cavity method . "}
{"subject": "math:arxiv_43111", "predicate": "proves", "object": "we describe the implementation of a module for the athena magnetohydrodynamics ( mhd ) code which so"}
{"subject": "math:arxiv_43115", "predicate": "proves", "object": "we use the hyperbolic subdiffusion equation with fractional time derivatives ( the generalized catta"}
{"subject": "math:arxiv_43116", "predicate": "proves", "object": "in this letter we show that the behaviour of @xmath0 , at very small @xmath1 , agrees with the behav"}
{"subject": "math:arxiv_43127", "predicate": "proves", "object": "we consider a derivative nonlinear schrdinger equation with a general nonlinearity . \n this equation"}
{"subject": "math:arxiv_43138", "predicate": "proves", "object": "we determine the low - energy spectrum and the eigenstates for a two - bosonic mode nonlinear model "}
{"subject": "math:arxiv_43147", "predicate": "proves", "object": "we propose here a new model termed as the differential equation model for the first @xmath0 state ex"}
{"subject": "math:arxiv_43157", "predicate": "proves", "object": "a generalization of the onsager - machlup theory from equilibrium to nonequilibrium steady states an"}
{"subject": "math:arxiv_43163", "predicate": "proves", "object": "we study an initial stage of autoresonant growth of a solution in a dissipative system . \n we constr"}
{"subject": "math:arxiv_43168", "predicate": "proves", "object": "the @xmath0-adic valuations of a sequence of integers counting alternating sign symmetric matrices i"}
{"subject": "math:arxiv_43174", "predicate": "proves", "object": "this paper formulates a generalization of our work on quantum knots to explain how to make quantum v"}
{"subject": "math:arxiv_43200", "predicate": "proves", "object": "we introduce the optimality question to the relaxation in multiple control problems described by sob"}
{"subject": "math:arxiv_43209", "predicate": "proves", "object": "after defining cohomologically higher order brst and anti - brst operators for a compact simple alge"}
{"subject": "math:arxiv_43222", "predicate": "proves", "object": "this paper presents a simple and elementary proof of butcher s theorem on the order conditions of ru"}
{"subject": "math:arxiv_43264", "predicate": "proves", "object": "exploiting the recently derived quantum smoluchowski equation the classical ivanchenko zilberman the"}
{"subject": "math:arxiv_43266", "predicate": "proves", "object": "let @xmath0 be a complex manifold . \n the classical riemann - hilbert correspondence associates to a"}
{"subject": "math:arxiv_43269", "predicate": "proves", "object": "we present a level raising result for families of @xmath0-adic automorphic forms for a definite quat"}
{"subject": "math:arxiv_43277", "predicate": "proves", "object": "derivations of a noncommutative algebra can be used to construct differential calculi , the so - cal"}
{"subject": "math:arxiv_43283", "predicate": "proves", "object": "we generalize the known solution of the schrdinger equation , describing a particle confined to a tr"}
{"subject": "math:arxiv_43299", "predicate": "proves", "object": "in fundamentally discrete approaches to quantum gravity such as loop quantum gravity , spin - foam m"}
{"subject": "math:arxiv_43300", "predicate": "proves", "object": "the topology and the geometry of a surface play a fundamental role in determining the equilibrium co"}
{"subject": "math:arxiv_43327", "predicate": "proves", "object": "consider a solution @xmath0 of a prescribed mean curvature equation @xmath1 where @xmath2 is a domai"}
{"subject": "math:arxiv_43331", "predicate": "proves", "object": "considered contribution to the phase of the atom interferometer caused by the gravity field of the m"}
{"subject": "math:arxiv_43338", "predicate": "proves", "object": "in this paper , we propose a multiscale empirical interpolation method for solving nonlinear multisc"}
{"subject": "math:arxiv_43354", "predicate": "proves", "object": "in this work , we present analytic formulas for calculating the critical buckling states of some pla"}
{"subject": "math:arxiv_43385", "predicate": "proves", "object": "spatially distributed problems are often approximately modelled in terms of partial differential equ"}
{"subject": "math:arxiv_43386", "predicate": "proves", "object": "for each piecewise monotonic map @xmath0 of @xmath1 $ ] , we associate a pair of c*-algebras @xmath2"}
{"subject": "math:arxiv_43387", "predicate": "proves", "object": "in this paper we compare two proof systems for minimal entailment : a tableau system and a sequent c"}
{"subject": "math:arxiv_43388", "predicate": "proves", "object": "we have studied the wave properties of the cold and isothermal plasma in the vicinity of the schwarz"}
{"subject": "math:arxiv_43391", "predicate": "proves", "object": "t duality expresses the equivalence of a superstring theory compactified on a manifold @xmath0 to an"}
{"subject": "math:arxiv_43416", "predicate": "proves", "object": "we show that a general principle of physical independence or physical invariance of mathematical bac"}
{"subject": "math:arxiv_43425", "predicate": "proves", "object": "we analyze various limits of vibrationally coupled resonant electron transport in single - molecule "}
{"subject": "math:arxiv_43426", "predicate": "proves", "object": "we analyse the existing derivation of the models of non - linear acoustics such as the kuznetsov equ"}
{"subject": "math:arxiv_43434", "predicate": "proves", "object": "the model assumptions of the recently formulated framework of highly - anisotropic and strongly - di"}
{"subject": "math:arxiv_43454", "predicate": "proves", "object": "good s formula and fisher s method are frequently used for combining independent @xmath0-values . \n "}
{"subject": "math:arxiv_43458", "predicate": "proves", "object": "in this paper we have theoretically found the activation energy(@xmath0 ) for the transformation fro"}
{"subject": "math:arxiv_43465", "predicate": "proves", "object": "the thermodynamic properties of a @xmath0 gauge theory without quarks are calculated using a string "}
{"subject": "math:arxiv_43479", "predicate": "proves", "object": "by calculating the equivariant mixed hodge numbers of motivic milnor fibers introduced by denef - lo"}
{"subject": "math:arxiv_43482", "predicate": "proves", "object": "we examine the possibility of storing and retrieving a single photon using electromagnetically induc"}
{"subject": "math:arxiv_43489", "predicate": "proves", "object": "numerical solutions of the wong - yang - mills equations with anisotropic particle momentum distribu"}
{"subject": "math:arxiv_43500", "predicate": "proves", "object": "we solve the balitsky  fadin  kuraev \n lipatov ( bfkl ) equation in the next  to  leading logarithmi"}
{"subject": "math:arxiv_43502", "predicate": "proves", "object": "we present a method to solve initial and boundary value problems using artificial neural networks . "}
{"subject": "math:arxiv_43507", "predicate": "proves", "object": "starting from the quantum kinetic equation for the non - condensate atoms and the generalized gross "}
{"subject": "math:arxiv_43513", "predicate": "proves", "object": "based on the green s function ( gf ) equation - of - motion formalism , we develop a method to expan"}
{"subject": "math:arxiv_43515", "predicate": "proves", "object": "convergence of rothe s method for the fully nonlinear parabolic equation @xmath0 is considered under"}
{"subject": "math:arxiv_43529", "predicate": "proves", "object": "we derive a local curvature estimate for four - dimensional stationary solutions to the inheriting e"}
{"subject": "math:arxiv_43547", "predicate": "proves", "object": "we compute the length of geodesics on a riemannian manifold by regular polynomial interpolation of t"}
{"subject": "math:arxiv_43551", "predicate": "proves", "object": "a practical computational method to find the eigenvalues and eigenspinors of quantum mechanical hami"}
{"subject": "math:arxiv_43554", "predicate": "proves", "object": "quillen showed that simplicial sets form a model category ( with appropriate choices of three classe"}
{"subject": "math:arxiv_43557", "predicate": "proves", "object": "the sensitivity of the evolution of quantum uncertainties to the choice of the initial conditions is"}
{"subject": "math:arxiv_43578", "predicate": "proves", "object": "in this paper we use the second order formalism of hartle to study slowly and rigidly rotating stars"}
{"subject": "math:arxiv_43580", "predicate": "proves", "object": "motivated by applications for non - perturbative topological strings in toric calabi \n yau manifolds"}
{"subject": "math:arxiv_43585", "predicate": "proves", "object": "starting from the description of the conformal geometry of noncommutative 2-tori in the framework of"}
{"subject": "math:arxiv_43604", "predicate": "proves", "object": "the four - body bound state with two - body interactions is formulated in three - dimensional approa"}
{"subject": "math:arxiv_43616", "predicate": "proves", "object": "a relativistic light front formulation of nuclear dynamics is developed and applied to treating infi"}
{"subject": "math:arxiv_43618", "predicate": "proves", "object": "we analyze the photon rates from a hadronic gas in equilibrium using chiral reduction formulas and a"}
{"subject": "math:arxiv_43619", "predicate": "proves", "object": "a perturbative method for solving the langevin equation of inflationary cosmology in presence of bac"}
{"subject": "math:arxiv_43622", "predicate": "proves", "object": "we explore a mechanism of pattern formation arising in processes described by a system of a single r"}
{"subject": "math:arxiv_43626", "predicate": "proves", "object": "we study the schrdinger - newton system of equations with the addition of gravitational field energy"}
{"subject": "math:arxiv_43632", "predicate": "proves", "object": "this article resolves several long - standing conjectures about artin groups of euclidean type . \n s"}
{"subject": "math:arxiv_43647", "predicate": "proves", "object": "using the long wave perturbation scheme(gradient expansion ) , the effect of inhomogeneity on the in"}
{"subject": "math:arxiv_43662", "predicate": "proves", "object": "the cayley - bacharach theorem states that all cubic curves through eight given points in the plane "}
{"subject": "math:arxiv_43667", "predicate": "proves", "object": "in this paper we investigate the non - markovian dynamics of a qubit by comparing two generalized ma"}
{"subject": "math:arxiv_43678", "predicate": "proves", "object": "in this paper , we review the construction of low - dimensional manifolds of reduced description for"}
{"subject": "math:arxiv_43687", "predicate": "proves", "object": "the aim of this paper is twofold . on one hand , we prove a slight generalization of the stability f"}
{"subject": "math:arxiv_43691", "predicate": "proves", "object": "we have used monte carlo simulations to investigate the magnetic properties of asymmetric dots as a "}
{"subject": "math:arxiv_43699", "predicate": "proves", "object": "consider the group  @xmath0 with the discrete topology , and denote its fourier algebra by  @xmath1 "}
{"subject": "math:arxiv_43706", "predicate": "proves", "object": "the time dependent dirac - maxwell s equations in presence of electric and magnetic sources are writ"}
{"subject": "math:arxiv_43736", "predicate": "proves", "object": "in this paper we perform bayesian estimation of stochastic volatility models with heavy tail distrib"}
{"subject": "math:arxiv_43738", "predicate": "proves", "object": "in this article , the stability of a general class of spherically symmetric thin  shell wormholes is"}
{"subject": "math:arxiv_43777", "predicate": "proves", "object": "using a probabilistic interpretation of resonant states , we propose a formula useful to calculate t"}
{"subject": "math:arxiv_43784", "predicate": "proves", "object": "we consider the continuity equation for open chaotic quantum systems in the semiclassical limit . \n "}
{"subject": "math:arxiv_43844", "predicate": "proves", "object": "some integral properties of jack polynomials , hypergeometric functions and invariant polynomials ar"}
{"subject": "math:arxiv_43870", "predicate": "proves", "object": "we define two new families of invariants for ( 3-manifold , graph ) pairs which detect the unknot an"}
{"subject": "math:arxiv_43872", "predicate": "proves", "object": "the aim of this note is to adapt the strategy in @xcite[see , b.dodson , j.murphy , a new proof of s"}
{"subject": "math:arxiv_43874", "predicate": "proves", "object": "scalar multidimensionally consistent quadrilateral lattice equations are studied . \n we explore a co"}
{"subject": "math:arxiv_43877", "predicate": "proves", "object": "the implementation of efficient multigrid preconditioners for elliptic partial differential equation"}
{"subject": "math:arxiv_43887", "predicate": "proves", "object": "in this work we consider a family of cosmological models featuring future singularities . \n this typ"}
{"subject": "math:arxiv_43893", "predicate": "proves", "object": "we study a model dyson - schwinger equation for the quark propagator closed using an _ ansatz _ for "}
{"subject": "math:arxiv_43897", "predicate": "proves", "object": "in this paper we address the derivation of causal relativistic hydrodynamics , formulated within the"}
{"subject": "math:arxiv_43902", "predicate": "proves", "object": "metastable states in ising spin - glass models are investigated numerically by finding iterative sol"}
{"subject": "math:arxiv_43913", "predicate": "proves", "object": "riemannian metric on real 2n - dimensional space associated with the equation governing complex diff"}
{"subject": "math:arxiv_43923", "predicate": "proves", "object": "analysis of the effects of decoherence on the radiative and squeezing properties of a coherently dri"}
{"subject": "math:arxiv_43924", "predicate": "proves", "object": "many real - world applications are addressed through a linear least - squares problem formulation , "}
{"subject": "math:arxiv_43974", "predicate": "proves", "object": "the well - known steinberg s conjecture asserts that any planar graph without @xmath0- and @xmath1-c"}
{"subject": "math:arxiv_43975", "predicate": "proves", "object": "it is shown that the integrability conditions of the equations satisfied by the local frenet frame a"}
{"subject": "math:arxiv_43986", "predicate": "proves", "object": "a conjectured connection to quantum gravity has led to a renewed interest in highly damped black hol"}
{"subject": "math:arxiv_43991", "predicate": "proves", "object": "we study the dynamics of two interacting bose - einstein condensates , by numerically solving two co"}
{"subject": "math:arxiv_44012", "predicate": "proves", "object": "the predictive power of the _ ab initio _ bethe - salpeter equation ( bse ) approach , rigorously ba"}
{"subject": "math:arxiv_44030", "predicate": "proves", "object": "this overview paper has two parts . in the first part , we review the development of @xmath0-geometr"}
{"subject": "math:arxiv_44032", "predicate": "proves", "object": "it was pointed out that brane - anti - brane inflation without warped geometry is not viable due to "}
{"subject": "math:arxiv_44055", "predicate": "proves", "object": "we report recent progress on the test of mode coupling theory for molecular liquids ( mmct ) for mol"}
{"subject": "math:arxiv_44068", "predicate": "proves", "object": "we consider the hodge laplacian on manifolds with incomplete edge singularities , with infinite dime"}
{"subject": "math:arxiv_44078", "predicate": "proves", "object": "the so - called whitham equation arises in the modeling of free surface water waves , and combines a"}
{"subject": "math:arxiv_44081", "predicate": "proves", "object": "in this article , we prove a version of compactness theorem of the donaldson - thomas instantons of "}
{"subject": "math:arxiv_44087", "predicate": "proves", "object": "we present an accurate investigation of the algebraic conditions that the symbols of a convergent , "}
{"subject": "math:arxiv_44098", "predicate": "proves", "object": "low energy theorems are derived for the coefficients of the effective range expansion in s - wave nu"}
{"subject": "math:arxiv_44129", "predicate": "proves", "object": "we demonstrate that the time - dependent projected gross - pitaevskii equation ( gpe ) derived earli"}
{"subject": "math:arxiv_44140", "predicate": "proves", "object": "the objective of this work is to study time - minimum and energy - minimum global optimal control fo"}
{"subject": "math:arxiv_44149", "predicate": "proves", "object": "the ricci flow has been of fundamental importance in mathematics , most famously though its use as a"}
{"subject": "math:arxiv_44172", "predicate": "proves", "object": "in this note we follow the historical development of the ideas that led to the formulation of string"}
{"subject": "math:arxiv_44173", "predicate": "proves", "object": "the perk  schultz model may be expressed in terms of the solution of the yang  baxter equation assoc"}
{"subject": "math:arxiv_44178", "predicate": "proves", "object": "a set of kinetic equations is used to study equilibration of the anisotropic quark - gluon plasma pr"}
{"subject": "math:arxiv_44182", "predicate": "proves", "object": "we present here the transformations required to recast the robertson - walker metric and friedmann -"}
{"subject": "math:arxiv_44188", "predicate": "proves", "object": "we consider generalizations of gale s colored kkm lemma and shapley s kkms theorem . it is shown tha"}
{"subject": "math:arxiv_44189", "predicate": "proves", "object": "we study the semialgebraic structure of @xmath0 , the set of nonnegative tensors of nonnegative rank"}
{"subject": "math:arxiv_44196", "predicate": "proves", "object": "we analyze the dalembert equation in the gdel - type spacetimes with spherical and lobachevsky secti"}
{"subject": "math:arxiv_44202", "predicate": "proves", "object": "super coset spaces play an important role in the formulation of supersymmetric theories . \n the aim "}
{"subject": "math:arxiv_44222", "predicate": "proves", "object": "non - markovian stochastic langevin - like equations of motion are compared to their corresponding m"}
{"subject": "math:arxiv_44230", "predicate": "proves", "object": "in this paper we introduce the notions of @xmath0-duhamel product and @xmath0-integration operator ."}
{"subject": "math:arxiv_44234", "predicate": "proves", "object": "it has been revealed from the path - integral formulation of the hadronic tensor that there are conn"}
{"subject": "math:arxiv_44269", "predicate": "proves", "object": "the inclusion of running coupling effects in the bk - jimwlk evolution equations considerably reduce"}
{"subject": "math:arxiv_44291", "predicate": "proves", "object": "a common generalization of two theorems on the face numbers of cohen  macaulay ( cm , for short ) si"}
{"subject": "math:arxiv_44294", "predicate": "proves", "object": "the phase transition of hadronic to quark matter and the boundaries of the mixed hadron - quark coex"}
{"subject": "math:arxiv_44300", "predicate": "proves", "object": "miller and mocanu proved in their 1997 paper a greatly useful result which is now known as the open "}
{"subject": "math:arxiv_44349", "predicate": "proves", "object": "we propose the functions defined by the maximum of a discrete quadratic form and satisfying the ultr"}
{"subject": "math:arxiv_44353", "predicate": "proves", "object": "for stochastic differential equations ( sdes ) with a superlinearly growing and globally one - sided"}
{"subject": "math:arxiv_44355", "predicate": "proves", "object": "for the kirillov  poisson structure on the vector space @xmath0 , where @xmath1 is a finite - dimens"}
{"subject": "math:arxiv_44356", "predicate": "proves", "object": "matveev introduced borromean surgery on @xmath0-manifolds , and proved that the equivalence relation"}
{"subject": "math:arxiv_44360", "predicate": "proves", "object": "we evaluate the casimir energy and force for a massive fermionic field in the geometry of two parall"}
{"subject": "math:arxiv_44363", "predicate": "proves", "object": "@xcite proposed a type of grb - less x - ray transient associated with double neutron star ( ns - ns"}
{"subject": "math:arxiv_44371", "predicate": "proves", "object": "in this article , we formulate a planar limited version of the b - side in homological mirror symmet"}
{"subject": "math:arxiv_44404", "predicate": "proves", "object": "the recent observation of the pulsar psr j1614 - 2230 with a mass of @xmath0m@xmath1 gives a strong "}
{"subject": "math:arxiv_44408", "predicate": "proves", "object": "a new family of exact solutions of the einstein - maxwell equations for static axially symmetric spa"}
{"subject": "math:arxiv_44414", "predicate": "proves", "object": "multi - sorted algebraic theories provide a formalism for describing various structures on spaces th"}
{"subject": "math:arxiv_44416", "predicate": "proves", "object": "we propose a new type of quantum computer which is used to prove a spectral representation for a cla"}
{"subject": "math:arxiv_44419", "predicate": "proves", "object": "we provide a status report on the calculation of the equation of state ( eos ) of qcd at finite temp"}
{"subject": "math:arxiv_44432", "predicate": "proves", "object": "a broad class of dark energy models , which have been proposed in attempts at solving the cosmologic"}
{"subject": "math:arxiv_44435", "predicate": "proves", "object": "consider the coradical filtrations of the hopf algebras of planar binary trees of loday and ronco an"}
{"subject": "math:arxiv_44438", "predicate": "proves", "object": "we consider the third - order wide - angle ` parabolic ' equation of underwater acoustics in a cylin"}
{"subject": "math:arxiv_44457", "predicate": "proves", "object": "this paper discusses the formulation of the non - commutative chern - simons ( cs ) theory where the"}
{"subject": "math:arxiv_44464", "predicate": "proves", "object": "we study the autoresonant solution of duffing s equation in the presence of dissipation . \n this sol"}
{"subject": "math:arxiv_44476", "predicate": "proves", "object": "we present a systematic investigation of the effects of roughness geometry on turbulent rayleigh - b"}
{"subject": "math:arxiv_44479", "predicate": "proves", "object": "we demonstrate the trapping of cold @xmath0 atoms in a toroidal geometry using a rf - dressed quadru"}
{"subject": "math:arxiv_44492", "predicate": "proves", "object": "we prove that when @xmath0 , the dehn function of @xmath1 is quadratic . \n the proof involves decomp"}
{"subject": "math:arxiv_44500", "predicate": "proves", "object": "spacetime geometry is treated as a fluctuating , stochastic quantum system allowing an effective qua"}
{"subject": "math:arxiv_44520", "predicate": "proves", "object": "in this work we develop a new theory to analyse the process of routing in large - scale ad - hoc wir"}
{"subject": "math:arxiv_44523", "predicate": "proves", "object": "using an analogue of makanin - razborov diagrams , we give a description of the solution set of syst"}
{"subject": "math:arxiv_44531", "predicate": "proves", "object": "we obtain a bijection between certain lattice paths and partitions . \n this implies a proof of polyn"}
{"subject": "math:arxiv_44532", "predicate": "proves", "object": "air pollution monitoring is a very popular research topic and many monitoring systems have been deve"}
{"subject": "math:arxiv_44561", "predicate": "proves", "object": "the staid subject of exact static spherically symmetric perfect fluid solutions of einstein s equati"}
{"subject": "math:arxiv_44562", "predicate": "proves", "object": "efficient time integration methods based on operator splitting are introduced for the westervelt equ"}
{"subject": "math:arxiv_44564", "predicate": "proves", "object": "we study homogeneous and isotropic cosmologies in a weyl spacetime . \n we show that the field equati"}
{"subject": "math:arxiv_44568", "predicate": "proves", "object": "we show that the large @xmath0 reduction holds on group manifolds . \n large @xmath0 field theories d"}
{"subject": "math:arxiv_44572", "predicate": "proves", "object": "this paper investigates which smooth manifolds arise as quotients ( orbit spaces ) of flows of vecto"}
{"subject": "math:arxiv_44584", "predicate": "proves", "object": "a recent `` hidden symmetry '' conjecture of b. gin - ge chen et al is resolved , concerning the dim"}
{"subject": "math:arxiv_44600", "predicate": "proves", "object": "starting from an unintegrated gluon distribution which satisfies a ` unified ' equation which embodi"}
{"subject": "math:arxiv_44603", "predicate": "proves", "object": "we present and prove a formula for the mhv scattering amplitude of @xmath0 gravitons at tree level ."}
{"subject": "math:arxiv_44610", "predicate": "proves", "object": "starting from a microscopic theory , we derive a master equation for a harmonic oscillator coupled t"}
{"subject": "math:arxiv_44635", "predicate": "proves", "object": "solutions of nonlinear acoustic equations describing propagation of strong sound pulses with account"}
{"subject": "math:arxiv_44666", "predicate": "proves", "object": "the non - linear compton scattering rate in a rotating electric field is explicitly calculated for t"}
{"subject": "math:arxiv_44672", "predicate": "proves", "object": "the unintegrated quark and gluon distributions in the pion and nucleon are analysed using the ccfm e"}
{"subject": "math:arxiv_44678", "predicate": "proves", "object": "in this work we consider a two - dimensional piecewise smooth system , defined in two domains separa"}
{"subject": "math:arxiv_44683", "predicate": "proves", "object": "we present a numerical study for the threshold percolation probability , @xmath0 , in the bond perco"}
{"subject": "math:arxiv_44701", "predicate": "proves", "object": "in the @xmath0 string - inspired model , we evolve the couplings and the masses down from the string"}
{"subject": "math:arxiv_44724", "predicate": "proves", "object": "we explore the implications of type ia supernovae ( snia ) observations on flat cosmological models "}
{"subject": "math:arxiv_44733", "predicate": "proves", "object": "this note studies a method for the estimation of a finite number of unknown parameters from linear e"}
{"subject": "math:arxiv_44743", "predicate": "proves", "object": "we show that solutions of time - dependent degenerate parabolic equations with super - quadratic gro"}
{"subject": "math:arxiv_44744", "predicate": "proves", "object": "= -1 if an interarea oscillatory mode has insufficient damping , generator redispatch can be used to"}
{"subject": "math:arxiv_44781", "predicate": "proves", "object": "we classify invariant almost complex structures on homogeneous manifolds of dimension 6 with semi - "}
{"subject": "math:arxiv_44786", "predicate": "proves", "object": "both the right and left eigenfunctions and eigenvalues of the linearized homogeneous boltzmann equat"}
{"subject": "math:arxiv_44800", "predicate": "proves", "object": "these lecture notes are mainly devoted to a proof using groupoids and @xmath0-theory of atiyah and s"}
{"subject": "math:arxiv_44814", "predicate": "proves", "object": "we study the asymptotic behaviour of random walks in i.i.d . \n non - elliptic random environments on"}
{"subject": "math:arxiv_44817", "predicate": "proves", "object": "a new method to calculate the spectrum using cascaded open systems and master equations is presented"}
{"subject": "math:arxiv_44820", "predicate": "proves", "object": "within the tunneling hamiltonian formulation for the eight - component spinors , the josephson criti"}
{"subject": "math:arxiv_44826", "predicate": "proves", "object": "we prove asymptotic formulas for the number of rational points of bounded height on certain equivari"}
{"subject": "math:arxiv_44840", "predicate": "proves", "object": "we investigate the collapse of a trapped dipolar bose - einstein condensate . \n this is performed by"}
{"subject": "math:arxiv_44872", "predicate": "proves", "object": "a new method for solving the time - dependent two - center dirac equation is developed . \n the appro"}
{"subject": "math:arxiv_44876", "predicate": "proves", "object": "in several contexts the defining invariant structures of a hyperbolic dynamical system are smooth on"}
{"subject": "math:arxiv_44892", "predicate": "proves", "object": "we study piecewise linear co - dimension two embeddings of closed oriented manifolds in euclidean sp"}
{"subject": "math:arxiv_44920", "predicate": "proves", "object": "the paper deals with amoebas of @xmath0-dimensional algebraic varieties in the complex algebraic tor"}
{"subject": "math:arxiv_44924", "predicate": "proves", "object": "we characterize horizontal mixing and transport structures in the surface circulation of the mediter"}
{"subject": "math:arxiv_44927", "predicate": "proves", "object": "we overview the main configurations of d  brane probes in the @xmath0 background of type iib string "}
{"subject": "math:arxiv_44939", "predicate": "proves", "object": "nuclei in dense matter are influenced by the medium . in the cluster mean field approximation , an e"}
{"subject": "math:arxiv_44965", "predicate": "proves", "object": "we have investigated vortex states in chiral helimagnet / superconductor bilayer systems under an ap"}
{"subject": "math:arxiv_44967", "predicate": "proves", "object": "we prove a strong relation between chern and log chern invariants of algebraic surfaces . for a give"}
{"subject": "math:arxiv_44993", "predicate": "proves", "object": "this paper is one step toward infinite energy gauge theory and the geometry of infinite dimensional "}
{"subject": "math:arxiv_44994", "predicate": "proves", "object": "we present a new algorithm to solve polynomial equations , and publish its code , which is 1.63 time"}
{"subject": "math:arxiv_45001", "predicate": "proves", "object": "we derive the limiting waiting - time distribution @xmath0 of a model described by the lindley - typ"}
{"subject": "math:arxiv_45008", "predicate": "proves", "object": "the ground state energy of a boundary quantum field theory is derived in planar geometry in d+1 dime"}
{"subject": "math:arxiv_45011", "predicate": "proves", "object": "we study in this article how heat can be exchanged between two level systems ( tls ) each of them be"}
{"subject": "math:arxiv_45018", "predicate": "proves", "object": "in this paper we want to propose practical numerical methods to solve a class of initial - boundary "}
{"subject": "math:arxiv_45056", "predicate": "proves", "object": "the michaelis - menten equation has played a central role in our understanding of biochemical proces"}
{"subject": "math:arxiv_45062", "predicate": "proves", "object": "typical flows in stellar interiors are much slower than the speed of sound . to follow the slow evol"}
{"subject": "math:arxiv_45088", "predicate": "proves", "object": "we study the black hole - black string phase transitions of gravitational theories compactified on a"}
{"subject": "math:arxiv_45094", "predicate": "proves", "object": "we provide in this article a new proof of the uniqueness of the flow solution to ordinary differenti"}
{"subject": "math:arxiv_45104", "predicate": "proves", "object": "we establish relations between both the classical and the dual garside structures of the braid group"}
{"subject": "math:arxiv_45126", "predicate": "proves", "object": "the reduced - density - matrix method is a promising candidate for the next generation electronic st"}
{"subject": "math:arxiv_45129", "predicate": "proves", "object": "we study lauricella s hypergeometric function @xmath0 of @xmath1-variables and the system @xmath2 of"}
{"subject": "math:arxiv_45151", "predicate": "proves", "object": "we generalize the familiar notions of overtwistedness and giroux torsion in @xmath0-dimensional cont"}
{"subject": "math:arxiv_45169", "predicate": "proves", "object": "from morita theoretic viewpoint , computing morita invariants is important . we prove that the inter"}
{"subject": "math:arxiv_45170", "predicate": "proves", "object": "a bi - hamiltonian hierarchy of complex vector soliton equations is derived from geometric flows of "}
{"subject": "math:arxiv_45176", "predicate": "proves", "object": "a novel scheme to simulate the evolution of a restricted set of observables of a quantum system is p"}
{"subject": "math:arxiv_45177", "predicate": "proves", "object": "we prove calegari s conjecture that every quasigeodesic flow on a closed hyperbolic @xmath0-manifold"}
{"subject": "math:arxiv_45185", "predicate": "proves", "object": "a vector field on a khler manifold is called c - projective if its flow preserves the @xmath0-planar"}
{"subject": "math:arxiv_45187", "predicate": "proves", "object": "i review our method to formulate chiral gauge theories on the lattice based on a two - cutoff lattic"}
{"subject": "math:arxiv_45196", "predicate": "proves", "object": "jaeger s directed cycle double cover conjecture can be formulated as a problem of existence of speci"}
{"subject": "math:arxiv_45217", "predicate": "proves", "object": "we analyse the cmb radiation in spherical 3-spaces with non - trivial topology . \n the focus is put "}
{"subject": "math:arxiv_45223", "predicate": "proves", "object": "in this paper , we study the moduli spaces of noncollapsed ricci flow solutions with bounded energy "}
{"subject": "math:arxiv_45228", "predicate": "proves", "object": "the formulation of qcd which contains no divergences and no renormalization procedure is presented ."}
{"subject": "math:arxiv_45235", "predicate": "proves", "object": "in this article we derive the geodesic equations in the @xmath0 dyonic rotating black hole spacetime"}
{"subject": "math:arxiv_45249", "predicate": "proves", "object": "evolution of quark - gluon plasma near equilibrium can be described by the second - order relativist"}
{"subject": "math:arxiv_45252", "predicate": "proves", "object": "probabilistic models require the notion of event space for defining a probability measure . \n an eve"}
{"subject": "math:arxiv_45253", "predicate": "proves", "object": "we study a fokker - planck equation modelling the firing rates of two interacting populations of neu"}
{"subject": "math:arxiv_45278", "predicate": "proves", "object": "we study the pion condensation at finite isospin chemical potential using a holographic qcd model . "}
{"subject": "math:arxiv_45290", "predicate": "proves", "object": "we present a model to find analytically the electronic states in self - assembled quantum dots with "}
{"subject": "math:arxiv_45315", "predicate": "proves", "object": "we establish the theorems that give necessary and sufficient conditions for an arbitrary function de"}
{"subject": "math:arxiv_45320", "predicate": "proves", "object": "starting from the _ basic_-exponential , a @xmath0-deformed version of the exponential function esta"}
{"subject": "math:arxiv_45321", "predicate": "proves", "object": "let @xmath0 be a bounded domain . \n we perturb it to a domain @xmath1 attaching a family of small pr"}
{"subject": "math:arxiv_45341", "predicate": "proves", "object": "we analyse nonperturbatively signal transmission patterns in green s functions of interacting quantu"}
{"subject": "math:arxiv_45351", "predicate": "proves", "object": "we study exactly the effect of an impurity in the  interacting quantum spin chain at low temperature"}
{"subject": "math:arxiv_45377", "predicate": "proves", "object": "the model describing market dynamics after a large financial crash is considered in terms of the sto"}
{"subject": "math:arxiv_45399", "predicate": "proves", "object": "according to one version of the recently proposed `` manifold '' theory that explains the origin of "}
{"subject": "math:arxiv_45402", "predicate": "proves", "object": "we investigate the non - perturbative renormalization group behavior of the gauge coupling constant "}
{"subject": "math:arxiv_45406", "predicate": "proves", "object": "we study some subsets of the green - lazarsfeld set @xmath0 for a compact khler manifold @xmath1 . \n"}
{"subject": "math:arxiv_45415", "predicate": "proves", "object": "we study the stabilization of a trapless bose - einstein condensate by analyzing the mean - field gr"}
{"subject": "math:arxiv_45418", "predicate": "proves", "object": "computational content encoded into constructive type theory proofs can be used to make computing exp"}
{"subject": "math:arxiv_45434", "predicate": "proves", "object": "it is proved that the theta series of an even lattice whose level is a power of a prime @xmath0 is c"}
{"subject": "math:arxiv_45441", "predicate": "proves", "object": "we classify vortex - core structures according to the topology of the order parameter space . \n we d"}
{"subject": "math:arxiv_45442", "predicate": "proves", "object": "given a cusped hyperbolic 3-manifold with finite volume , we define two types of complex parameters "}
{"subject": "math:arxiv_45447", "predicate": "proves", "object": "on the basis of a dynamical relativistic mean field ( rmf ) model we study the response of a nucleus"}
{"subject": "math:arxiv_45460", "predicate": "proves", "object": "the state of the hot gas in clusters of galaxies is investigated with a set of model clusters , crea"}
{"subject": "math:arxiv_45469", "predicate": "proves", "object": "we find two new classes of exact solutions for the einstein - maxwell equations . \n the solutions ar"}
{"subject": "math:arxiv_45470", "predicate": "proves", "object": "we recall several results in auslander - reiten theory for finite - dimensional algebras over fields"}
{"subject": "math:arxiv_45474", "predicate": "proves", "object": "let @xmath0 denote the 2-qubit gate which acts as the 1-qubit @xmath1 gates @xmath2 and @xmath3 in t"}
{"subject": "math:arxiv_45477", "predicate": "proves", "object": "the classical arnold - liouville theorem describes the geometry of an integrable hamiltonian system "}
{"subject": "math:arxiv_45483", "predicate": "proves", "object": "using a zariski topology associated to a finite field extensions , we give new proofs and generalize"}
{"subject": "math:arxiv_45485", "predicate": "proves", "object": "in order to study the pairing symmetry in non - centrosymmetric superconductors , we solve the linea"}
{"subject": "math:arxiv_45498", "predicate": "proves", "object": "using the solution of the bfkl equation including the leading and subleading conformal spin componen"}
{"subject": "math:arxiv_45499", "predicate": "proves", "object": "full magnetization process of magnetic nanocluster mn@xmath0 , including all its actual multiplets @"}
{"subject": "math:arxiv_45500", "predicate": "proves", "object": "in the presence of a strong @xmath0 component in a rotating galaxy , the phase space structure near "}
{"subject": "math:arxiv_45512", "predicate": "proves", "object": "numerical simulations of the kinematic induction equation are performed on a model configuration of "}
{"subject": "math:arxiv_45516", "predicate": "proves", "object": "some aspects of the interpretation of quantum theory are discussed . \n it is emphasized that quantum"}
{"subject": "math:arxiv_45522", "predicate": "proves", "object": "we investigate all feasible mathematical representations of disformal transformations on a space - t"}
{"subject": "math:arxiv_45533", "predicate": "proves", "object": "we use fractional integrals to generalize the description of hydrodynamic accretion in fractal media"}
{"subject": "math:arxiv_45539", "predicate": "proves", "object": "cassidy , phan and shelton associate to any regular cell complex @xmath0 a quadratic @xmath1-algebra"}
{"subject": "math:arxiv_45549", "predicate": "proves", "object": "in this work we found the new class of exact stationary solutions for 2d - euler equations . \n unlik"}
{"subject": "math:arxiv_45551", "predicate": "proves", "object": "in 1989 , lescure and meyniel proved , for @xmath0 , that every @xmath1-chromatic graph contains an "}
{"subject": "math:arxiv_45554", "predicate": "proves", "object": "we describe a parallel algorithm for solving the time - independent 3d schrdinger equation using the"}
{"subject": "math:arxiv_45556", "predicate": "proves", "object": "we consider real and complex clifford algebras of arbitrary even and odd dimensions and prove genera"}
{"subject": "math:arxiv_45571", "predicate": "proves", "object": "we generalize some of the results of harvey , lawson and latschev about transgression formulas . \n t"}
{"subject": "math:arxiv_45601", "predicate": "proves", "object": "we obtain sharp pointwise estimates for positive solutions to the equation @xmath0 , where @xmath1 i"}
{"subject": "math:arxiv_45621", "predicate": "proves", "object": "a proof of the riemann s hypothesis ( rh ) about the non - trivial zeros of the riemann zeta - funct"}
{"subject": "math:arxiv_45630", "predicate": "proves", "object": "i give an overview over some work on rigorous renormalization theory based on the differential flow "}
{"subject": "math:arxiv_45631", "predicate": "proves", "object": "it is proposed to use exact , cosmologically relevant solutions to einstein s equations to accuratel"}
{"subject": "math:arxiv_45633", "predicate": "proves", "object": "we give a definition of ` coherent tangent bundles ' , which is an intrinsic formulation of wave fro"}
{"subject": "math:arxiv_45635", "predicate": "proves", "object": "in this paper we consider the glauber dynamics for a disordered ferromagnetic ising model , in the r"}
{"subject": "math:arxiv_45655", "predicate": "proves", "object": "in this paper , a modified chaplygin gas model of unifying dark energy and dark matter with exotic e"}
{"subject": "math:arxiv_45656", "predicate": "proves", "object": "we approach a new proof of the strong goldbach s conjecture for sufficiently large even integers by "}
{"subject": "math:arxiv_45662", "predicate": "proves", "object": "boltzmann s principle @xmath0 allows to extend equilibrium thermo - statistics to `` small '' system"}
{"subject": "math:arxiv_45715", "predicate": "proves", "object": "the relaxation functions introduced empirically by debye , cole - cole , cole - davidson and havrili"}
{"subject": "math:arxiv_45723", "predicate": "proves", "object": "we define the dualizations of objects and concepts which are essential for investigating the ramsey "}
{"subject": "math:arxiv_45735", "predicate": "proves", "object": "we have studied the effect of memory on evolution of the prisoner s dilemma game using square lattic"}
{"subject": "math:arxiv_45744", "predicate": "proves", "object": "a new hierarchy of  exact \" unification types is introduced , motivated by the study of admissible r"}
{"subject": "math:arxiv_45748", "predicate": "proves", "object": "given @xmath0 sets of points , or colours , @xmath1 in @xmath2 , a _ \n colourful simplex _ is a set "}
{"subject": "math:arxiv_45756", "predicate": "proves", "object": "we present a dynamical model of heavy quark evolution in the quark - gluon plasma ( qgp ) based on t"}
{"subject": "math:arxiv_45760", "predicate": "proves", "object": "we develop a transitional geometry , that is , a family of geometries of constant curvatures which m"}
{"subject": "math:arxiv_45762", "predicate": "proves", "object": "an adaptive moving mesh finite element method is studied for the numerical solution of the porous me"}
{"subject": "math:arxiv_45790", "predicate": "proves", "object": "this paper presents an application of the infinite unit axiom , introduced by yaroslav sergeyev , ( "}
{"subject": "math:arxiv_45818", "predicate": "proves", "object": "indirect reciprocity is a reputation - based mechanism for cooperation in social dilemma situations "}
{"subject": "math:arxiv_45826", "predicate": "proves", "object": "the weak gravity conjecture applied for the aligned natural inflation indicates that generically the"}
{"subject": "math:arxiv_45828", "predicate": "proves", "object": "the one - dimensional kondo lattice model is investigated by means of wegner s flow equation method "}
{"subject": "math:arxiv_45842", "predicate": "proves", "object": "we investigate the discrete painlev equations ( dpand @xmath0p ) over finite fields . \n we first sho"}
{"subject": "math:arxiv_45885", "predicate": "proves", "object": "since the suggestion of relativistic shocks as the origin of gamma - ray bursts ( grbs ) in early 90"}
{"subject": "math:arxiv_45889", "predicate": "proves", "object": "we show that in collisions with neutron rich heavy ions at energies around the production threshold "}
{"subject": "math:arxiv_45900", "predicate": "proves", "object": "structure constants of the @xmath0 ( @xmath1 odd ) lie algebras converge when n goes to infinity to "}
{"subject": "math:arxiv_45904", "predicate": "proves", "object": "we calculate the neutrino pair annihilation rate into electron pairs between two neutron stars in a "}
{"subject": "math:arxiv_45919", "predicate": "proves", "object": "we present and expand the simplest possible quantum cosmological bouncing model already discussed in"}
{"subject": "math:arxiv_45922", "predicate": "proves", "object": "correlations in photodetection signals from quantum light sources are conventionally calculated by a"}
{"subject": "math:arxiv_45926", "predicate": "proves", "object": "chandler - wilde , chonchaiya and lindner conjectured that the set of eigenvalues of finite tridiago"}
{"subject": "math:arxiv_45948", "predicate": "proves", "object": "when the mass of one of the two bodies tends to zero , weyl s definition of the gravitational force "}
{"subject": "math:arxiv_45953", "predicate": "proves", "object": "in this paper , we discuss numerical approximation of the eigenvalues of the one - dimensional radia"}
{"subject": "math:arxiv_45967", "predicate": "proves", "object": "the lensing information provided by multiple images , arclets , and statistical distortions can all "}
{"subject": "math:arxiv_45968", "predicate": "proves", "object": "the self - organization in cooperative regimes in a simple mean - field version of a model based on "}
{"subject": "math:arxiv_45974", "predicate": "proves", "object": "we derive thouless - anderson - palmer ( tap ) equations for quantum disordered systems . we apply t"}
{"subject": "math:arxiv_45989", "predicate": "proves", "object": "the @xmath0-loop renormalization group equations for the minimal @xmath1 models encompassing a type "}
{"subject": "math:arxiv_46001", "predicate": "proves", "object": "we give a summary of recent results on the explicit local form of the second - order symmetric loren"}
{"subject": "math:arxiv_46012", "predicate": "proves", "object": "in the context of two - dimensional ( 2d ) turbulence , we apply the maximum entropy production prin"}
{"subject": "math:arxiv_46018", "predicate": "proves", "object": "we consider @xmath0-symmetric bosonic @xmath1 field theories above four dimensions , and propose a n"}
{"subject": "math:arxiv_46031", "predicate": "proves", "object": "we derive a version of the adiabatic theorem that is especially suited for applications in adiabatic"}
{"subject": "math:arxiv_46038", "predicate": "proves", "object": "theorems and explicit examples are used to show how transformations between self - similar sets ( ge"}
{"subject": "math:arxiv_46051", "predicate": "proves", "object": "we provide a presentation of the roger and yang s kauffman bracket arc algebra for the once - punctu"}
{"subject": "math:arxiv_46054", "predicate": "proves", "object": "lie - algebraic and quantum - algebraic techniques are used in the analysis of thermodynamic propert"}
{"subject": "math:arxiv_46056", "predicate": "proves", "object": "gravitational redshift is being generally calculated without considering the rotation of a body . ne"}
{"subject": "math:arxiv_46068", "predicate": "proves", "object": "we continue the study of the question of when a pseudo - riemannain manifold can be locally characte"}
{"subject": "math:arxiv_46069", "predicate": "proves", "object": "generalized quasi - cyclic ( gqc ) codes form a wide and useful class of linear codes that includes "}
{"subject": "math:arxiv_46079", "predicate": "proves", "object": "a lattice model of critical spanning webs is considered for the finite cylinder geometry . due to th"}
{"subject": "math:arxiv_46081", "predicate": "proves", "object": "we prove a sharp ohsawa - takegoshi - manivel type @xmath0-extension result for twisted holomorphic "}
{"subject": "math:arxiv_46094", "predicate": "proves", "object": "we revisit the impact of disorder on superconductivity in a two - dimensional dirac fermion system b"}
{"subject": "math:arxiv_46103", "predicate": "proves", "object": "let @xmath0 be an artin group with standard generating set @xmath1 . \n tits conjectured that the onl"}
{"subject": "math:arxiv_46108", "predicate": "proves", "object": "we establish a second - order almost sure limit theorem for the minimal position in a one - dimensio"}
{"subject": "math:arxiv_46115", "predicate": "proves", "object": "radio - quiet @xmath0-ray pulsars like geminga may account for a number of the unidentified egret so"}
{"subject": "math:arxiv_46126", "predicate": "proves", "object": "by numerical and variational analysis of the three - dimensional gross - pitaevskii equation we stud"}
{"subject": "math:arxiv_46127", "predicate": "proves", "object": "we develop a lagrangian approach based on the influence functional method so as to derive self - con"}
{"subject": "math:arxiv_46138", "predicate": "proves", "object": "using kim s variational formulation  @xcite ( with a slight yet important modification ) , we derive"}
{"subject": "math:arxiv_46148", "predicate": "proves", "object": "in this paper we investigate the asymptotic distribution of the zeros of polynomials @xmath0 satisfy"}
{"subject": "math:arxiv_46151", "predicate": "proves", "object": "we consider the continuous - time random walk of a particle in a two - dimensional self - affine que"}
{"subject": "math:arxiv_46156", "predicate": "proves", "object": "the lugannani  rice formula is a saddlepoint approximation method for estimating the tail probabilit"}
{"subject": "math:arxiv_46158", "predicate": "proves", "object": "in this article we derive two simple solutions of nonlinear fokker - planck equation for incompressi"}
{"subject": "math:arxiv_46160", "predicate": "proves", "object": "we calculate the cross section of the inverse beta decay process , @xmath0 , in a magnetic field whi"}
{"subject": "math:arxiv_46162", "predicate": "proves", "object": "disintegration of sunspots ( and starspots ) by fluxtube erosion , originally proposed by simon & le"}
{"subject": "math:arxiv_46167", "predicate": "proves", "object": "we describe a seemingly unnoticed feature of the text - book maxwell - lorentz system of classical e"}
{"subject": "math:arxiv_46171", "predicate": "proves", "object": "this mainly expository article is devoted to recent advances in the study of dynamical aspects of th"}
{"subject": "math:arxiv_46173", "predicate": "proves", "object": "a central limit theorem for binary tree is numerically examined . \n two types of central limit theor"}
{"subject": "math:arxiv_46177", "predicate": "proves", "object": "the first post - newtonian ( pn ) hydrostatic equations for an irrotational fluid are solved for an "}
{"subject": "math:arxiv_46180", "predicate": "proves", "object": "the stochastic arctic sea ice model described as a single periodic non - autonomous stochastic ordin"}
{"subject": "math:arxiv_46184", "predicate": "proves", "object": "quantum anomalies , determined by the atiyah - singer index theorem , place strong constraints on th"}
{"subject": "math:arxiv_46187", "predicate": "proves", "object": "we use a monte carlo radiative transfer code to examine the dependence of the properties of cyclotro"}
{"subject": "math:arxiv_46216", "predicate": "proves", "object": "bisectors are equidistant hypersurfaces between two points and are basic objects in a metric geometr"}
{"subject": "math:arxiv_46222", "predicate": "proves", "object": "we study the approach to obtaining least squares solutions to systems of linear algebraic equations "}
{"subject": "math:arxiv_46240", "predicate": "proves", "object": "a celebrated result by jacobson is the derivation of einstein s equations from unruh s temperature ,"}
{"subject": "math:arxiv_46244", "predicate": "proves", "object": "given a @xmath0manifold the second author defined functions @xmath1 , generalizing mcmullen s alexan"}
{"subject": "math:arxiv_46246", "predicate": "proves", "object": "we present new formulae for the neutrino masses generated by @xmath0-parity violating interactions w"}
{"subject": "math:arxiv_46262", "predicate": "proves", "object": "we will discuss theoretical and experimental results concerning comparison of entropy of pseudo - an"}
{"subject": "math:arxiv_46287", "predicate": "proves", "object": "the extension of the general relativity theory to higher dimensions , so that the field equations fo"}
{"subject": "math:arxiv_46297", "predicate": "proves", "object": "given two maps between smooth manifolds , the obstruction to removing their coincidences ( via homot"}
{"subject": "math:arxiv_46302", "predicate": "proves", "object": "a complex eigenvalue in the bogoliubov - de gennes equations for a stationary bose - einstein conden"}
{"subject": "math:arxiv_46325", "predicate": "proves", "object": "the long - time asymptotic solution of the korteweg  devries equation for general , step - like init"}
{"subject": "math:arxiv_46329", "predicate": "proves", "object": "a renormalization scheme for the nucleon - nucleon ( nn ) interaction based on a subtracted t - matr"}
{"subject": "math:arxiv_46330", "predicate": "proves", "object": "we investigate the interaction of fermions having both dirac and left - handed and right - handed ma"}
{"subject": "math:arxiv_46333", "predicate": "proves", "object": "we investigate the electronic structure and the ferroelectric properties of the recently discovered "}
{"subject": "math:arxiv_46334", "predicate": "proves", "object": "we study the structure of the symplectic invariant part @xmath0 of the lie algebra @xmath1 consistin"}
{"subject": "math:arxiv_46355", "predicate": "proves", "object": "since the pioneering work of canham and helfrich , variational formulations involving curvature - de"}
{"subject": "math:arxiv_46387", "predicate": "proves", "object": "we uncover some connections between the topology of a complete riemannian surface @xmath0 and the mi"}
{"subject": "math:arxiv_46393", "predicate": "proves", "object": "nonlinear stochastic differential equations provide one of the mathematical models yielding @xmath0 "}
{"subject": "math:arxiv_46399", "predicate": "proves", "object": "collective excitations in graphene monolayer are studied . \n equations describing collective propert"}
{"subject": "math:arxiv_46411", "predicate": "proves", "object": "we derive a formula for the electric polarization of interacting insulators , expressed in terms of "}
{"subject": "math:arxiv_46418", "predicate": "proves", "object": "in this paper , a bipartite consensus problem for a multi - agent system is formulated firstly . \n t"}
{"subject": "math:arxiv_46423", "predicate": "proves", "object": "we prove that fano @xmath0-folds with nef tangent bundle and picard number greater than @xmath1 are "}
{"subject": "math:arxiv_46464", "predicate": "proves", "object": "the algebraic structure underlying the totally asymmetric exclusion process is studied by using the "}
{"subject": "math:arxiv_46467", "predicate": "proves", "object": "in @xcite , we considered a class of infinitely degenerate quasilinear equations of the form @xmath0"}
{"subject": "math:arxiv_46478", "predicate": "proves", "object": "it is known that every exotic smooth structure on a simply connected closed @xmath0-manifold is dete"}
{"subject": "math:arxiv_46481", "predicate": "proves", "object": "we observe @xmath0 sequences at each of @xmath1 sites , and assume that they have evolved from an an"}
{"subject": "math:arxiv_46500", "predicate": "proves", "object": "the effects on the @xmath0 and @xmath1 levels of   of its first coordination shell geometry in ce - "}
{"subject": "math:arxiv_46505", "predicate": "proves", "object": "for a smooth domain @xmath0 containing the origin , we consider a vector field @xmath1 with @xmath2 "}
{"subject": "math:arxiv_46507", "predicate": "proves", "object": "we derive a set of hierarchical equations for qubits interacting with a lorentz - broadened cavity m"}
{"subject": "math:arxiv_46516", "predicate": "proves", "object": "we further generalize the generalized short pulse equation studied recently in [ commun . \n nonlinea"}
{"subject": "math:arxiv_46524", "predicate": "proves", "object": "we investigate further the existence of solutions to kinetic models of chemotaxis . \n these are nonl"}
{"subject": "math:arxiv_46533", "predicate": "proves", "object": "we study dyonic soliton and black hole solutions of the @xmath0 einstein - yang - mills equations in"}
{"subject": "math:arxiv_46558", "predicate": "proves", "object": "we perform numerical simulations of vortex motion in a trapped bose - einstein condensate by solving"}
{"subject": "math:arxiv_46596", "predicate": "proves", "object": "we study the cavity mode frequencies of a fabry  prot cavity containing two vibrating dielectric mem"}
{"subject": "math:arxiv_46599", "predicate": "proves", "object": "we investigate a real scalar field whose dynamics is governed by a nonlinear wave equation . \n we sh"}
{"subject": "math:arxiv_46600", "predicate": "proves", "object": "we report on some recent solutions of the dyson - schwinger equations for the infrared behavior of t"}
{"subject": "math:arxiv_46618", "predicate": "proves", "object": "the dynamics of quantum vortices in a two - dimensional annular condensate are considered by numeric"}
{"subject": "math:arxiv_46619", "predicate": "proves", "object": "in this paper we discuss the physics of interacting tensor fields and particles living in a de sitte"}
{"subject": "math:arxiv_46622", "predicate": "proves", "object": "the recent discovery of topological insulators has revived interest in the band topology of insulato"}
{"subject": "math:arxiv_46626", "predicate": "proves", "object": "we address the geometric cauchy problem for surfaces associated to the membrane shape equation descr"}
{"subject": "math:arxiv_46630", "predicate": "proves", "object": "exact two - dimensional solutions are constructed for the pseudo - spin-1/2 bose - einstein condensa"}
{"subject": "math:arxiv_46658", "predicate": "proves", "object": "we provide a formula for the @xmath0 term of the @xmath1-generalized fibonacci - like number sequenc"}
{"subject": "math:arxiv_46677", "predicate": "proves", "object": "the belkale - kumar product on @xmath0 is a degeneration of the usual cup product on the cohomology "}
{"subject": "math:arxiv_46682", "predicate": "proves", "object": "self - gravitating accretion disks collapse to star - forming(sf ) regions extending to the inner ed"}
{"subject": "math:arxiv_46688", "predicate": "proves", "object": "we address the possibility of performing numerical monte carlo simulations for the thermodynamics of"}
{"subject": "math:arxiv_46705", "predicate": "proves", "object": "consider a difference equation which takes the k - th largest output of @xmath0 functions of the pre"}
{"subject": "math:arxiv_46714", "predicate": "proves", "object": "the standard equations for semiconductor device analysis were solved by specifying the electron and "}
{"subject": "math:arxiv_46746", "predicate": "proves", "object": "a numerical solution of einstein field equations for a spherical symmetric and stationary system of "}
{"subject": "math:arxiv_46780", "predicate": "proves", "object": "we study consequences of gauge invariance and charge conservation of an electron gas in a strong ran"}
{"subject": "math:arxiv_46782", "predicate": "proves", "object": "in the first part of this work we provide a formula for the number of edges of the hasse diagram of "}
{"subject": "math:arxiv_46784", "predicate": "proves", "object": "common isar radar images and signals can be reconstructed from much fewer samples than the sampling "}
{"subject": "math:arxiv_46794", "predicate": "proves", "object": "we describe a mechanical equation of state for nh@xmath0 , based on shock wave measurements for liqu"}
{"subject": "math:arxiv_46822", "predicate": "proves", "object": "the invariant theory for conformal hypersurfaces is studied by treating these as the conformal infin"}
{"subject": "math:arxiv_46829", "predicate": "proves", "object": "in this paper , we develop approximative two - flavor neutrino oscillation formulas including sublea"}
{"subject": "math:arxiv_46831", "predicate": "proves", "object": "multi - physics models governed by coupled partial differential equation ( pde ) systems , are natur"}
{"subject": "math:arxiv_46852", "predicate": "proves", "object": "we model the expansion of an interacting atomic bose - einstein condensate in a disordered lattice w"}
{"subject": "math:arxiv_46869", "predicate": "proves", "object": "we give a survey of geometric approaches to the topological @xmath0-dimen- sional surgery and @xmath"}
{"subject": "math:arxiv_46878", "predicate": "proves", "object": "discrete time dynamics on the @xmath0 group is studied . \n it is shown that a map acting in the dual"}
{"subject": "math:arxiv_46925", "predicate": "proves", "object": "we describe a necessary and sufficient condition for a principal circle bundle over an even - dimens"}
{"subject": "math:arxiv_46928", "predicate": "proves", "object": "it has been known for some time that solitons of the externally driven , damped nonlinear schrdinger"}
{"subject": "math:arxiv_46943", "predicate": "proves", "object": "master equations are probably the most fundamental equations for anyone working in quantum optics in"}
{"subject": "math:arxiv_46954", "predicate": "proves", "object": "let @xmath0 be a positive integer , and let @xmath1 denote the affine klr algebra in type a. kleshch"}
{"subject": "math:arxiv_46960", "predicate": "proves", "object": "to any two graphs @xmath0 and @xmath1 one can associate a  cell complex @xmath2 by taking all graph "}
{"subject": "math:arxiv_46980", "predicate": "proves", "object": "for a certain class of configurations of points in space , eves theorem gives a ratio of products of"}
{"subject": "math:arxiv_46983", "predicate": "proves", "object": "we develop powerful numerical and analytical techniques for the solution of the helmholtz equation o"}
{"subject": "math:arxiv_46994", "predicate": "proves", "object": "momentum sum rules for fragmentation functions are considered . in particular , we give a general pr"}
{"subject": "math:arxiv_47009", "predicate": "proves", "object": "this paper is devoted to the analysis of a numerical scheme for the coagulation and fragmentation eq"}
{"subject": "math:arxiv_47018", "predicate": "proves", "object": "we derive and analyze the born  markov master equation for a quantum harmonic oscillator interacting"}
{"subject": "math:arxiv_47034", "predicate": "proves", "object": "we study the structure of the manifold of solitary waves in a particular three - component scalar fi"}
{"subject": "math:arxiv_47064", "predicate": "proves", "object": "knots and links in 3-manifolds are studied by applying intersection invariants to singular concordan"}
{"subject": "math:arxiv_47068", "predicate": "proves", "object": "after a brief historical comment on the study of brs(or brst ) symmetry , we discuss the quantizatio"}
{"subject": "math:arxiv_47070", "predicate": "proves", "object": "a theorem of kontsevich relates the homology of certain infinite dimensional lie algebras to graph h"}
{"subject": "math:arxiv_47076", "predicate": "proves", "object": "we consider a triality between the zermelo navigation problem , the geodesic flow on a finslerian ge"}
{"subject": "math:arxiv_47092", "predicate": "proves", "object": "we classify all continuous degenerate irreducible modules over the exceptional linearly compact lie "}
{"subject": "math:arxiv_47101", "predicate": "proves", "object": "the lee - wick ( lw ) formulation of higher - derivative theories can be extended from one in which "}
{"subject": "math:arxiv_47116", "predicate": "proves", "object": "we study the scalar wave equation on the open exterior region of an extreme reissner - nordstrm blac"}
{"subject": "math:arxiv_47126", "predicate": "proves", "object": "we provide analytical three - dimensional bright multi - soliton solutions to the ( 3 + 1)-dimension"}
{"subject": "math:arxiv_47164", "predicate": "proves", "object": "we prove local existence and uniqueness of the cauchy problem for a large class of tensorial second "}
{"subject": "math:arxiv_47179", "predicate": "proves", "object": "an effective equation of state which generalizes the lattimer - swesty equation for nuclear matter i"}
{"subject": "math:arxiv_47191", "predicate": "proves", "object": "we give explicit formulae for the order @xmath0 subresultants of @xmath1 and @xmath2 for @xmath3 . \n"}
{"subject": "math:arxiv_47193", "predicate": "proves", "object": "we discuss the prominence of hopf algebras in recent progress in quantum field theory . in particula"}
{"subject": "math:arxiv_47204", "predicate": "proves", "object": "multistring solutions of the string equations of motion are found for inflationary spacetimes with e"}
{"subject": "math:arxiv_47213", "predicate": "proves", "object": "ever since karl schwarzschild s 1916 discovery of the spacetime geometry describing the interior of "}
{"subject": "math:arxiv_47232", "predicate": "proves", "object": "in this paper a general second order semi - markov reward model is presented . \n equations for the h"}
{"subject": "math:arxiv_47236", "predicate": "proves", "object": "the formation of clusters in supercooled liquids close to the glass transition temperature is descri"}
{"subject": "math:arxiv_47240", "predicate": "proves", "object": "we introduce an analytic model of the diffuse intergalactic medium in galaxy clusters based on a pol"}
{"subject": "math:arxiv_47242", "predicate": "proves", "object": "we have discussed the dynamics of langevin model subjected to colored noise , by using the functiona"}
{"subject": "math:arxiv_47244", "predicate": "proves", "object": "we prove that every closed , connected contact @xmath0manifold can be obtained from @xmath1 with its"}
{"subject": "math:arxiv_47251", "predicate": "proves", "object": "this paper surveys , and in some cases generalises , many of the recent results on homomorphisms and"}
{"subject": "math:arxiv_47260", "predicate": "proves", "object": "we perform a detailed analysis of the fundamental mode of non - radial pulsations of color flavor lo"}
{"subject": "math:arxiv_47307", "predicate": "proves", "object": "it is conjectured that the spatial structure of quantum field states is influenced by a new kind of "}
{"subject": "math:arxiv_47324", "predicate": "proves", "object": "the persistence conjecture is a long - standing open problem in chemical reaction network theory . \n"}
{"subject": "math:arxiv_47325", "predicate": "proves", "object": "opinion dynamics is nowadays a very common field of research . in this article \n we formulate and th"}
{"subject": "math:arxiv_47338", "predicate": "proves", "object": "we use tropical geometry to compute the multidegree and newton polytope of the hypersurface of a sta"}
{"subject": "math:arxiv_47369", "predicate": "proves", "object": "we consider the main physical notions and phenomena described by the author in his mathematical theo"}
{"subject": "math:arxiv_47377", "predicate": "proves", "object": "we analyze the chiral phase transition with the help of the qcd gap equation . \n various models for "}
{"subject": "math:arxiv_47392", "predicate": "proves", "object": "we show that the problem of finding the primary and secondary characteristic directions of a linear "}
{"subject": "math:arxiv_47416", "predicate": "proves", "object": "we examine isovector and isoscalar neutron - proton correlations in an exactly solvable model based "}
{"subject": "math:arxiv_47419", "predicate": "proves", "object": "a microscopic theory for electronic spectrum of the cuo@xmath0 plane within an effective @xmath1-@xm"}
{"subject": "math:arxiv_47423", "predicate": "proves", "object": "the problem of estimating small transition probabilities for overdamped langevin dynamics is conside"}
{"subject": "math:arxiv_47429", "predicate": "proves", "object": "we develop a general approach to finding combinatorial models for cluster algebras . the approach is"}
{"subject": "math:arxiv_47434", "predicate": "proves", "object": "we investigate the evolution of the gravitational potential in rastall scalar field theories . in a "}
{"subject": "math:arxiv_47473", "predicate": "proves", "object": "for suitable finite groups @xmath0 , we construct contractible @xmath1-manifolds @xmath2 with an eff"}
{"subject": "math:arxiv_47476", "predicate": "proves", "object": "we propose a phenomenological approach for the equation of state of a unitary fermi gas . \n the univ"}
{"subject": "math:arxiv_47479", "predicate": "proves", "object": "in this pedagogical paper we review the discrete symmetries of the dirac equation using elementary t"}
{"subject": "math:arxiv_47489", "predicate": "proves", "object": "we study exact lagrangian immersions with one double point of a closed orientable manifold @xmath0 i"}
{"subject": "math:arxiv_47490", "predicate": "proves", "object": "the peaceman  rachford scheme is a commonly used splitting method for discretizing semilinear evolut"}
{"subject": "math:arxiv_47495", "predicate": "proves", "object": "in this paper , we employ the bifurcation theory of planar dynamical systems to investigate the trav"}
{"subject": "math:arxiv_47498", "predicate": "proves", "object": "the goal of this paper is to provide a rigorous information - theoretic analysis of subnetworks of i"}
{"subject": "math:arxiv_47500", "predicate": "proves", "object": "the set of 60 real rays in four dimensions derived from the vertices of a 600-cell is shown to posse"}
{"subject": "math:arxiv_47504", "predicate": "proves", "object": "we derive a generalized form of altarelli - parisi equations to decribe the time evolution of parton"}
{"subject": "math:arxiv_47519", "predicate": "proves", "object": "for each finite dimensional , simple , complex lie algebra @xmath0 and each root of unity @xmath1 ( "}
{"subject": "math:arxiv_47544", "predicate": "proves", "object": "we discuss the dissipative diffusion - type term of the form @xmath0 in the phenomenological landau "}
{"subject": "math:arxiv_47550", "predicate": "proves", "object": "we show an equivalence between the approach of buttiker and the fermi quantum stochastic calculus fo"}
{"subject": "math:arxiv_47556", "predicate": "proves", "object": "transport through nanosystems is treated within the second order von neumann approach . \n this appro"}
{"subject": "math:arxiv_47558", "predicate": "proves", "object": "social trust prediction addresses the significant problem of exploring interactions among users in s"}
{"subject": "math:arxiv_47562", "predicate": "proves", "object": "we consider a fixed contact @xmath0-manifold that admits infinitely many compact stein fillings whic"}
{"subject": "math:arxiv_47581", "predicate": "proves", "object": "in 1934 , jordan et al .  gave a necessary algebraic condition , the jordan identity , for a sensibl"}
{"subject": "math:arxiv_47584", "predicate": "proves", "object": "0.4 cm    we study the general structure of the @xmath0/cft@xmath1 correspondence in type iib string"}
{"subject": "math:arxiv_47588", "predicate": "proves", "object": "a path integral formulation is developed for the _ dynamic _ casimir effect . \n it allows us to stud"}
{"subject": "math:arxiv_47590", "predicate": "proves", "object": "the allen  cahn action functional is related to the probability of rare events in the stochastically"}
{"subject": "math:arxiv_47605", "predicate": "proves", "object": "in the recent paper @xcite , borodin and olshanski have presented a novel proof of the celebrated ed"}
{"subject": "math:arxiv_47608", "predicate": "proves", "object": "in this work we study the formulation of convection / diffusion equations on the 3d motion group @xm"}
{"subject": "math:arxiv_47609", "predicate": "proves", "object": "we extend our recent derivation of the time evolution equations for the energy content of magnetic f"}
{"subject": "math:arxiv_47635", "predicate": "proves", "object": "here we briefly discuss the einstein - aether gravity theory by modification of einstein - hilbert a"}
{"subject": "math:arxiv_47641", "predicate": "proves", "object": "this paper presents some formulae to calculate moments of inertia for solids of revolution and for s"}
{"subject": "math:arxiv_47645", "predicate": "proves", "object": "we derive the master equation that completely determines the time evolution of the density matrix of"}
{"subject": "math:arxiv_47650", "predicate": "proves", "object": "we consider the energy levels of a hydrogen - like atom in the framework of @xmath0-modified , due t"}
{"subject": "math:arxiv_47685", "predicate": "proves", "object": "we study in details the long - time asymptotic behavior of a relativistic diffusion taking values in"}
{"subject": "math:arxiv_47692", "predicate": "proves", "object": "we present a simulation method to study electrolyte solutions in a dielectric slab geometry using a "}
{"subject": "math:arxiv_47694", "predicate": "proves", "object": "we set up equations and boundary conditions for magnetic rotator winds and disks in axially symmetri"}
{"subject": "math:arxiv_47698", "predicate": "proves", "object": "we formulate and argue in favor of the following conjecture : there exists an intimate connection be"}
{"subject": "math:arxiv_47703", "predicate": "proves", "object": "non - markovian local in time master equations give a relatively simple way to describe the dynamics"}
{"subject": "math:arxiv_47707", "predicate": "proves", "object": "the sharma - mittal entropies generalize the celebrated shannon , rnyi and tsallis entropies . \n we "}
{"subject": "math:arxiv_47711", "predicate": "proves", "object": "we construct an invariant @xmath0={\\mathbb{q}}[[a+1]]$ ] for an integral homology @xmath1-sphere @xm"}
{"subject": "math:arxiv_47746", "predicate": "proves", "object": "we present numerical simulations of axisymmetric magnetised massive tori around rotating black holes"}
{"subject": "math:arxiv_47749", "predicate": "proves", "object": "this article considers the category of commutative medial magmas with cancellation , a structure tha"}
{"subject": "math:arxiv_47750", "predicate": "proves", "object": "we present a detailed derivation of the stochastic master equation determining the time evolution of"}
{"subject": "math:arxiv_47751", "predicate": "proves", "object": "we briefly report on some recent progress in the computation of b - brane superpotentials for type i"}
{"subject": "math:arxiv_47752", "predicate": "proves", "object": "gribov s scenario of confinement caused by supercritical charges is described and the present status"}
{"subject": "math:arxiv_47765", "predicate": "proves", "object": "in this paper we review various models of curvature singularity free black holes . in the first part"}
{"subject": "math:arxiv_47774", "predicate": "proves", "object": "larmor s theorem holds for magnetic systems that are invariant under spin rotation . in the presence"}
{"subject": "math:arxiv_47781", "predicate": "proves", "object": "a class of finite difference schemes for solving a fractional anti - diffusive equation , recently p"}
{"subject": "math:arxiv_47816", "predicate": "proves", "object": "the theory of representations of clifford algebras is extended to employ the division algebra of the"}
{"subject": "math:arxiv_47820", "predicate": "proves", "object": "the well known elliptic discrete painlev equation of sakai is constructed by a standard translation "}
{"subject": "math:arxiv_47823", "predicate": "proves", "object": "we derive and implement symmetry - projected hartree - fock - bogoliubov ( hfb ) equations and apply"}
{"subject": "math:arxiv_47838", "predicate": "proves", "object": "we propose to contruct a temporary wave on the surface of the ocean , as a particular solution of th"}
{"subject": "math:arxiv_47843", "predicate": "proves", "object": "genetic regulatory networks are defined by their topology and by a multitude of continuously adjusta"}
{"subject": "math:arxiv_47860", "predicate": "proves", "object": "we consider a well defined joint detection and parameter estimation problem . by combining the baysi"}
{"subject": "math:arxiv_47862", "predicate": "proves", "object": "the dissipative dynamics anticipated in the proof of t hooft s existence theorem  _ `` for any quant"}
{"subject": "math:arxiv_47882", "predicate": "proves", "object": "we study the dynamical behavior of an ensemble of oscillators interacting through short range bidire"}
{"subject": "math:arxiv_47926", "predicate": "proves", "object": "we propose an algebraic lattice supersymmetry formulation which has an exact supersymmetry on the la"}
{"subject": "math:arxiv_47932", "predicate": "proves", "object": "we consider a class of homogeneous manifolds including all semisimple coadjoint orbits . \n we descri"}
{"subject": "math:arxiv_47937", "predicate": "proves", "object": "in the previous article @xcite a new combinatorial and thus purely algebraical approach to quantum g"}
{"subject": "math:arxiv_47948", "predicate": "proves", "object": "we prove that a conjecture of fomin , fulton , li , and poon , associated to ordered pairs of partit"}
{"subject": "math:arxiv_47952", "predicate": "proves", "object": "by means of the direct simulation monte carlo method , the boltzmann equation is numerically solved "}
{"subject": "math:arxiv_47970", "predicate": "proves", "object": "in this article , we present a graphical user interface software for the litter decomposition and so"}
{"subject": "math:arxiv_47976", "predicate": "proves", "object": "the aim of this contribution is to illustrate two basic aspects of quantum mechanics applied to the "}
{"subject": "math:arxiv_47977", "predicate": "proves", "object": "we apply differential equations technique to the calculation of the one - loop massless diagram with"}
{"subject": "math:arxiv_47985", "predicate": "proves", "object": "building on a variant of the jarzynski equation we propose a new method to numerically determine the"}
{"subject": "math:arxiv_47989", "predicate": "proves", "object": "a novel pedagogical technique is presented that can be used in the undergraduate ( ug ) class to for"}
{"subject": "math:arxiv_48002", "predicate": "proves", "object": "the @xmath0-strand equations for a map @xmath1 into a lie group @xmath0 are associated to a @xmath0-"}
{"subject": "math:arxiv_48028", "predicate": "proves", "object": "in this note , we study the integral of the 1-form @xmath0 over certain plane curves defined by a - "}
{"subject": "math:arxiv_48029", "predicate": "proves", "object": "we investigate equilibrium sequences of magnetized rotating stars with four kinds of realistic equat"}
{"subject": "math:arxiv_48034", "predicate": "proves", "object": "shallow water equations are widely used at several scales for liquid flows when the depth is smaller"}
{"subject": "math:arxiv_48036", "predicate": "proves", "object": "we give a solution of the wave equation for massless , or massive spin-@xmath0 particles propagating"}
{"subject": "math:arxiv_48045", "predicate": "proves", "object": "entanglement criteria for an @xmath0-partite quantum system with continuous variables are formulated"}
{"subject": "math:arxiv_48056", "predicate": "proves", "object": "_ the coupled einstein - yang - mills equations on a time dependent axially symmetric spacetime are "}
{"subject": "math:arxiv_48060", "predicate": "proves", "object": "we point out an explicit connection between graphs drawn on compact riemann surfaces defined over th"}
{"subject": "math:arxiv_48072", "predicate": "proves", "object": "using the hamilton - jacobi method , we solve chemical fokker - planck equations within the gaussian"}
{"subject": "math:arxiv_48088", "predicate": "proves", "object": "the @xmath0 reaction - diffusion process is studied in a system where the reagents are separated by "}
{"subject": "math:arxiv_48094", "predicate": "proves", "object": "optimal transport from the volume measure to a convex combination of dirac measures yields a tessell"}
{"subject": "math:arxiv_48099", "predicate": "proves", "object": "the jacobi equation in pseudo - riemannian geometry determines the linearized geodesic flow . \n the "}
{"subject": "math:arxiv_48109", "predicate": "proves", "object": "we present a statistical equilibrium model of self - organization in a class of focusing , nonintegr"}
{"subject": "math:arxiv_48110", "predicate": "proves", "object": "in this paper , we first obtain an algebraic formula for the moments of a centered wishart matrix , "}
{"subject": "math:arxiv_48133", "predicate": "proves", "object": "first order rotational perturbations of the friedmann - robertson - walker metric are considered in "}
{"subject": "math:arxiv_48141", "predicate": "proves", "object": "we derive a generalization of the wiener - khinchin theorem for nonstationary processes by introduci"}
{"subject": "math:arxiv_48146", "predicate": "proves", "object": "in this work we show that ( real space ) curvature in the geometry of curved waveguides with rashba "}
{"subject": "math:arxiv_48155", "predicate": "proves", "object": "we describe and discuss different methods of proof of a given statement and illustrate by logical mo"}
{"subject": "math:arxiv_48198", "predicate": "proves", "object": "we analyze the dynamics of a model of a nanobeam under compression . \n the model is a two mode trunc"}
{"subject": "math:arxiv_48201", "predicate": "proves", "object": "we present a microscopic theory for both equilibrium and nonequilibrium transport properties of coup"}
{"subject": "math:arxiv_48219", "predicate": "proves", "object": "we find exact , analytic solutions of the dirac equation for a charged , massless fermion in the bac"}
{"subject": "math:arxiv_48221", "predicate": "proves", "object": "in this paper , an outage limited mimo channel is considered . \n we build on zheng and tse s elegant"}
{"subject": "math:arxiv_48228", "predicate": "proves", "object": "due to the particular geometry of the kagom lattice , it is shown that antisymmetric dzyaloshinsky -"}
{"subject": "math:arxiv_48256", "predicate": "proves", "object": "we propose a simple classical concept of nanodevices working in an absolute negative mobility ( anm "}
{"subject": "math:arxiv_48259", "predicate": "proves", "object": "the equations of relativistic hydrodynamics are transformed so that steps forward in time preserves "}
{"subject": "math:arxiv_48276", "predicate": "proves", "object": "absorption and emission lines originating from the @xmath0 c - h stretching manifold of gas phase ch"}
{"subject": "math:arxiv_48282", "predicate": "proves", "object": "the methods of non - equilibrium quantum field theory are used to investigate the possibility of rep"}
{"subject": "math:arxiv_48284", "predicate": "proves", "object": "for an endomorphism it is known that if all the points in the manifold have dense sets of pre - imag"}
{"subject": "math:arxiv_48292", "predicate": "proves", "object": "tables of the currently known parameters of symmetric configurations are given . \n formulas for para"}
{"subject": "math:arxiv_48306", "predicate": "proves", "object": "we establish a congruence modulo four in the real schubert calculus on the grassmannian of @xmath0-p"}
{"subject": "math:arxiv_48314", "predicate": "proves", "object": "reinhardt s conjecture , a formalization of the statement that a truthful knowing machine can know i"}
{"subject": "math:arxiv_48315", "predicate": "proves", "object": "we are concerned with the convergence of numerical schemes for the initial value problem associated "}
{"subject": "math:arxiv_48322", "predicate": "proves", "object": "the influence of turbulent effects on a fluid flow through a ( pseudo ) porous media is studied by n"}
{"subject": "math:arxiv_48339", "predicate": "proves", "object": "let @xmath0 be an orientable , cusped hyperbolic 3manifold of finite volume . \n we show that the res"}
{"subject": "math:arxiv_48344", "predicate": "proves", "object": "this paper studies the way in which confinement leads to chiral symmetry breaking ( csb ) through a "}
{"subject": "math:arxiv_48351", "predicate": "proves", "object": "by means of the ito - nisio theorem , we introduce and discuss a general approach to series represen"}
{"subject": "math:arxiv_48358", "predicate": "proves", "object": "the event topology in relativistic heavy ion collisions is determined by various multi - particle pr"}
{"subject": "math:arxiv_48359", "predicate": "proves", "object": "we study confined solutions of certain evolutionary partial differential equations ( pde ) in @xmath"}
{"subject": "math:arxiv_48360", "predicate": "proves", "object": "we report measurements of the complex resistivity in ybco and mgb@xmath0 thin films over a continuou"}
{"subject": "math:arxiv_48370", "predicate": "proves", "object": "by using a massless scalar field we examine the effect of an extra dimension on black hole radiation"}
{"subject": "math:arxiv_48399", "predicate": "proves", "object": "this paper applies the recently axiomatized optimum information principle ( minimize the kullback - "}
{"subject": "math:arxiv_48418", "predicate": "proves", "object": "if @xmath0 and @xmath1 are varieties of algebras in the sense of general algebra , then by a represe"}
{"subject": "math:arxiv_48419", "predicate": "proves", "object": "we address the  inverse problem \" for discrete geometry , which consists in determining whether , gi"}
{"subject": "math:arxiv_48420", "predicate": "proves", "object": "the krakow - orsay collaboration has applied methods borrowed from equilibrium statistical mechanics"}
{"subject": "math:arxiv_48482", "predicate": "proves", "object": "there is no proof yet of convergence of genetic algorithms . \n we do not supply it too . \n instead ,"}
{"subject": "math:arxiv_48486", "predicate": "proves", "object": "we describe and implement an adaptive particle - mesh algorithm to solve the poisson equation for gr"}
{"subject": "math:arxiv_48489", "predicate": "proves", "object": "a number of works have shown that important information on the equation of state of matter at nuclea"}
{"subject": "math:arxiv_48504", "predicate": "proves", "object": "this paper develops and analyzes some interior penalty discontinuous galerkin methods using piecewis"}
{"subject": "math:arxiv_48506", "predicate": "proves", "object": "we provide a complete invariant for graph @xmath0-algebras which are amplified in the sense that whe"}
{"subject": "math:arxiv_48516", "predicate": "proves", "object": "the effect of plasma environment on the atomic energy levels of he - like and li - like mg and fe io"}
{"subject": "math:arxiv_48555", "predicate": "proves", "object": "in light filamentation induced by axicon - generated , powerful bessel beams , the spatial propagati"}
{"subject": "math:arxiv_48600", "predicate": "proves", "object": "description logic programs ( dl - programs ) under the answer set semantics formulated by eiter _ \n "}
{"subject": "math:arxiv_48617", "predicate": "proves", "object": "inspired from lie symmetry classification , we establish a correspondence between rank two lie symme"}
{"subject": "math:arxiv_48635", "predicate": "proves", "object": "in two previous papers we formulated and solved , for a fiducial set of free parameters , the proble"}
{"subject": "math:arxiv_48636", "predicate": "proves", "object": "we construct positive loops of legendrian submanifolds in several instances . in particular , we par"}
{"subject": "math:arxiv_48674", "predicate": "proves", "object": "we provide an algorithmic description of a family of graded decomposition numbers for rational chere"}
{"subject": "math:arxiv_48679", "predicate": "proves", "object": "these notes of a course given at irma in april 2009 cover some aspects of the representation theory "}
{"subject": "math:arxiv_48688", "predicate": "proves", "object": "we study the geodesic equation in the space - time of a kerr black hole pierced by an infinitely thi"}
{"subject": "math:arxiv_48695", "predicate": "proves", "object": "we use a simple geometric argument and small cancellation properties of link groups to prove that al"}
{"subject": "math:arxiv_48714", "predicate": "proves", "object": "various models for interacting spherical bubbles in a compressible liquid based on delay differentia"}
{"subject": "math:arxiv_48722", "predicate": "proves", "object": "nonlocal nature apparently shown in entanglement is one of the most striking features of quantum the"}
{"subject": "math:arxiv_48723", "predicate": "proves", "object": "we show how the laplace transform can be used to give a solution of the time - dependent schrdinger "}
{"subject": "math:arxiv_48727", "predicate": "proves", "object": "we consider extremal black hole solutions to the vacuum einstein equations in dimensions greater tha"}
{"subject": "math:arxiv_48729", "predicate": "proves", "object": "motivated by current challenges in data - intensive sensor networks , we formulate a coverage optimi"}
{"subject": "math:arxiv_48732", "predicate": "proves", "object": "the final fate of the spherically symmetric collapse of a perfect fluid which follows the @xmath0-la"}
{"subject": "math:arxiv_48745", "predicate": "proves", "object": "recently , a non - iterative multi - frequency subspace migration imaging algorithm was developed ba"}
{"subject": "math:arxiv_48766", "predicate": "proves", "object": "we prove that a quasi - isometric map between pinched hadamard manifolds is within bounded distance "}
{"subject": "math:arxiv_48767", "predicate": "proves", "object": "in @xcite c. de lellis and l. szkelyhidi jr . constructed wild solutions of the incompressible euler"}
{"subject": "math:arxiv_48778", "predicate": "proves", "object": "we draw relationships between the generalized data processing theorems of zakai and ziv ( 1973 and 1"}
{"subject": "math:arxiv_48788", "predicate": "proves", "object": "we present security proofs for a protocol for quantum key distribution ( qkd ) based on encoding in "}
{"subject": "math:arxiv_48792", "predicate": "proves", "object": "a one - dimensional turbulent convection model in the form of a time - dependent diffusion equation "}
{"subject": "math:arxiv_48798", "predicate": "proves", "object": "based on quantum graph theory we establish that the ray - splitting trace formula proposed by couchm"}
{"subject": "math:arxiv_48810", "predicate": "proves", "object": "we present results from three - dimensional non - linear hydrodynamic simulations of a precession dr"}
{"subject": "math:arxiv_48826", "predicate": "proves", "object": "let @xmath0 be a compact , connected symplectic manifold with a hamiltonian action of a compact @xma"}
{"subject": "math:arxiv_48857", "predicate": "proves", "object": "we demonstrate that superflow past an obstacle is possible in a solid phase in the one - dimensional"}
{"subject": "math:arxiv_48865", "predicate": "proves", "object": "if we apply the path integral formulation in order to analyze the particle creation process of black"}
{"subject": "math:arxiv_48890", "predicate": "proves", "object": "a code design problem for memory devises with restricted state transitions is formulated as a combin"}
{"subject": "math:arxiv_48893", "predicate": "proves", "object": "numerous formulations of finite volume schemes for the euler and navier - stokes equations exist , b"}
{"subject": "math:arxiv_48900", "predicate": "proves", "object": "a method is presented to compute approximate solutions for eigenequations in quantum mechanics with "}
{"subject": "math:arxiv_48907", "predicate": "proves", "object": "we consider the linear stationary equation defined by the fractional laplacian with drift . in the s"}
{"subject": "math:arxiv_48911", "predicate": "proves", "object": "this paper deals with the steady - state polytropic fluid accretion onto a higher - dimensional reis"}
{"subject": "math:arxiv_48956", "predicate": "proves", "object": "@xmath0 transfer reactions are described using momentum - space faddeev - type equations for transit"}
{"subject": "math:arxiv_48971", "predicate": "proves", "object": "in this article we prove a differentiable rigidity result . \n let @xmath0 and @xmath1 be two closed "}
{"subject": "math:arxiv_48975", "predicate": "proves", "object": "based on a physical argument , we derive a new analytic formula for the amplitude of density perturb"}
{"subject": "math:arxiv_48980", "predicate": "proves", "object": "we define an invariant of oriented links in @xmath0 using the symplectic geometry of certain spaces "}
{"subject": "math:arxiv_48997", "predicate": "proves", "object": "this paper proposes the ricci  flow equation as a general geometric model for various reaction  diff"}
{"subject": "math:arxiv_48999", "predicate": "proves", "object": "the finite element method is applied to obtain numerical solutions to the recently derived nonlinear"}
{"subject": "math:arxiv_49009", "predicate": "proves", "object": "recently it was pointed out that the solutions found in literature for the space fractional schrding"}
{"subject": "math:arxiv_49022", "predicate": "proves", "object": "the second law of thermodynamics , formulated as an ultimate bound on the maximum extractable work ,"}
{"subject": "math:arxiv_49046", "predicate": "proves", "object": "we study the effect of directional quenching on patterns formed in simple bistable systems such as t"}
{"subject": "math:arxiv_49060", "predicate": "proves", "object": "in the many - body theory of particles with long range interaction potential , such as the potential"}
{"subject": "math:arxiv_49074", "predicate": "proves", "object": "we present detailed derivations , various improvements and application to concrete experimental data"}
{"subject": "math:arxiv_49075", "predicate": "proves", "object": "by studying the present cosmological data , particularly on cmb , sneia and lss , we find that the f"}
{"subject": "math:arxiv_49091", "predicate": "proves", "object": "we prove for a large class of knots that the meridional rank coincides with the bridge number . \n th"}
{"subject": "math:arxiv_49099", "predicate": "proves", "object": "in this paper , we assemble a catalog of 118 strong gravitational lensing systems from slacs , bells"}
{"subject": "math:arxiv_49101", "predicate": "proves", "object": "the evolutionary prisoner s dilemma game ( pdg ) and the snowdrift game ( sg ) with preferential lea"}
{"subject": "math:arxiv_49145", "predicate": "proves", "object": "wick s theorem in the schwinger - perel - keldysh closed - time - loop formalism is written in a for"}
{"subject": "math:arxiv_49162", "predicate": "proves", "object": "we study the low temperature behaviour of path integrals for a simple one - dimensional model . star"}
{"subject": "math:arxiv_49165", "predicate": "proves", "object": "we present a new numerical dissipation algorithm , which can be efficiently used in combination with"}
{"subject": "math:arxiv_49181", "predicate": "proves", "object": "we consider a cosmological scenario in which a scale - invariant spectrum of curvature perturbations"}
{"subject": "math:arxiv_49186", "predicate": "proves", "object": "in @xcite , bernoulli shift dynamics of submanifolds was established in a neighborhood of a homoclin"}
{"subject": "math:arxiv_49197", "predicate": "proves", "object": "we study the low energy properties of the one - orbital quantum double - exchange model by using the"}
{"subject": "math:arxiv_49200", "predicate": "proves", "object": "we review various algorithms for finding apparent horizons in @xmath0 numerical relativity . \n we th"}
{"subject": "math:arxiv_49217", "predicate": "proves", "object": "the paper deals with some generalizations of fibonacci and lucas sequences , arising from powers of "}
{"subject": "math:arxiv_49219", "predicate": "proves", "object": "this paper is divided into two parts . \n the first part concerns several standard scenarios for how "}
{"subject": "math:arxiv_49249", "predicate": "proves", "object": "a physical analysis and mathematical formulation of the structure of an accretion shock wave in the "}
{"subject": "math:arxiv_49255", "predicate": "proves", "object": "we consider a general class of high order weak approximation schemes for stochastic differential equ"}
{"subject": "math:arxiv_49264", "predicate": "proves", "object": "we construct an effective model for the qcd equation of state , taking into account chiral symmetry "}
{"subject": "math:arxiv_49271", "predicate": "proves", "object": "we compute the non  trivial infrared @xmath0fixed point by means of an interpolation expansion in fi"}
{"subject": "math:arxiv_49272", "predicate": "proves", "object": "the classical dynamical systems model of continuous stirred tank reactors ( cstr ) in which a first "}
{"subject": "math:arxiv_49288", "predicate": "proves", "object": "the renormalization method has been previously used in conjunction with the lippman - schwinger equa"}
{"subject": "math:arxiv_49290", "predicate": "proves", "object": "we classify and construct irreducible completely splittable representations of affine and finite hec"}
{"subject": "math:arxiv_49291", "predicate": "proves", "object": "a number of papers deal with the problem of counting the number of retractions of a structure @xmath"}
{"subject": "math:arxiv_49317", "predicate": "proves", "object": "we solve the klein - gordon equation for a step potential with hyperbolic tangent potential . \n the "}
{"subject": "math:arxiv_49333", "predicate": "proves", "object": "in a previous paper we formulated a set of necessary conditions for the spherically symmetric weakly"}
{"subject": "math:arxiv_49364", "predicate": "proves", "object": "in the paper @xcite , c.t.c . \n wall proved that two smooth closed simply connected @xmath0-manifold"}
{"subject": "math:arxiv_49366", "predicate": "proves", "object": "we investigate the statistics of gravitational lenses in flat , low - density cosmological models wi"}
{"subject": "math:arxiv_49370", "predicate": "proves", "object": "a pair of points in a riemannian manifold makes a secure configuration if the totality of geodesics "}
{"subject": "math:arxiv_49388", "predicate": "proves", "object": "in this work an extended elliptic function method is proposed and applied to the generalized shallow"}
{"subject": "math:arxiv_49395", "predicate": "proves", "object": "based on luttinger s formulation the complex optical conductivity tensor is calculated within the fr"}
{"subject": "math:arxiv_49449", "predicate": "proves", "object": "auroux , donaldson and katzarkov introduced broken lefschetz fibrations as a generalization of lefsc"}
{"subject": "math:arxiv_49456", "predicate": "proves", "object": "consider the cotangent bundle of a closed riemannian manifold and an almost complex structure close "}
{"subject": "math:arxiv_49511", "predicate": "proves", "object": "scattering of a spin-@xmath0 particle off a spin-@xmath1 target is formulated based on a simple thre"}
{"subject": "math:arxiv_49513", "predicate": "proves", "object": "the usual formulation of the bcs ansatz for superconductivity in the grand canonical ensemble makes "}
{"subject": "math:arxiv_49524", "predicate": "proves", "object": "for a finite symmetry group @xmath0 of an aperiodic substitution tiling system @xmath1 , we show tha"}
{"subject": "math:arxiv_49532", "predicate": "proves", "object": "classical as well as quantum features of the late - time evolution of cosmological models with fluid"}
{"subject": "math:arxiv_49535", "predicate": "proves", "object": "stable electrostatic levitation and trapping of a neutral , polarizable object by a charged ring is "}
{"subject": "math:arxiv_49558", "predicate": "proves", "object": "we consider the problem of the construction of the nanophotonic structures of arbitrary geometry wit"}
{"subject": "math:arxiv_49568", "predicate": "proves", "object": "the density profile of a hot nuclear system produced in intermediate energy heavy ion collisions is "}
{"subject": "math:arxiv_49569", "predicate": "proves", "object": "i present the numerical solution of equations of the evolution of a universe containing background f"}
{"subject": "math:arxiv_49586", "predicate": "proves", "object": "we present an explicit numerical scheme to solve the variable coefficient wave equation in one space"}
{"subject": "math:arxiv_49589", "predicate": "proves", "object": "this paper presents empirical evidence supporting goldfeld s conjecture on the average analytic rank"}
{"subject": "math:arxiv_49597", "predicate": "proves", "object": "we use janelidze s categorical galois theory to extend brown and ellis s higher hopf formulae for ho"}
{"subject": "math:arxiv_49602", "predicate": "proves", "object": "we investigate a formulation of poincar invariant quantum mechanics where the dynamical input is euc"}
{"subject": "math:arxiv_49612", "predicate": "proves", "object": "a few 2 + 1-dimensional equations belonging to the kp and modified kp hierarchies are shown to be su"}
{"subject": "math:arxiv_49613", "predicate": "proves", "object": "the graphs @xmath0 with @xmath1 that satisfy @xmath2 for any subgraph @xmath3 ( and for @xmath4 ) ar"}
{"subject": "math:arxiv_49668", "predicate": "proves", "object": "we apply the background field method to calculate the moments of the pion two - particles twist-3 di"}
{"subject": "math:arxiv_49669", "predicate": "proves", "object": "we present an asymmetric @xmath0-painlev equation . we will derive this using @xmath0-orthogonal pol"}
{"subject": "math:arxiv_49687", "predicate": "proves", "object": "we analyze the hermite polynomials @xmath0 and their zeros asymptotically , as @xmath1 we obtain asy"}
{"subject": "math:arxiv_49689", "predicate": "proves", "object": "using a three - path contrast interferometer ( ci ) geometry and laser - pulse diffraction gratings "}
{"subject": "math:arxiv_49690", "predicate": "proves", "object": "we introduce a computational framework which avoids solving explicitly hydrodynamic equations and is"}
{"subject": "math:arxiv_49701", "predicate": "proves", "object": "for a condensate in a one - dimensional ring geometry , we compare the thermodynamic properties of t"}
{"subject": "math:arxiv_49712", "predicate": "proves", "object": "in this paper , we consider the state controllability of networked systems , where the network topol"}
{"subject": "math:arxiv_49724", "predicate": "proves", "object": "for trigonometric and modified trigonometric integrators applied to oscillatory hamiltonian differen"}
{"subject": "math:arxiv_49741", "predicate": "proves", "object": "this is an introductory survey on cluster algebras and their ( additive ) categorification using der"}
{"subject": "math:arxiv_49758", "predicate": "proves", "object": "we introduce generalised orbit algebras . the purpose here is to measure how some combinatorial prop"}
{"subject": "math:arxiv_49759", "predicate": "proves", "object": "flexibility of structures is extremely important for chemistry and robotics . following our earlier "}
{"subject": "math:arxiv_49776", "predicate": "proves", "object": "the random intensity of noise approach to one - dimensional laval - dubrulle - nazarenko type model "}
{"subject": "math:arxiv_49783", "predicate": "proves", "object": "in this note we prove an existence and uniqueness result for the solution of multidimensional stocha"}
{"subject": "math:arxiv_49785", "predicate": "proves", "object": "in a quasiclassical framework , we formulate the double energy differential cross sections for the c"}
{"subject": "math:arxiv_49788", "predicate": "proves", "object": "the paper concerns a compactification of the isospectral varieties of nilpotent toda lattices for re"}
{"subject": "math:arxiv_49800", "predicate": "proves", "object": "in this note we prove two ellipsoid characterization theorems . \n the first one is that if @xmath0 i"}
{"subject": "math:arxiv_49808", "predicate": "proves", "object": "we present a new efficient algorithm to construct partitions of a special class of equiangular tight"}
{"subject": "math:arxiv_49816", "predicate": "proves", "object": "the swimming of a sphere immersed in a viscous incompressible fluid with inertia is studied for surf"}
{"subject": "math:arxiv_49826", "predicate": "proves", "object": "in a recent paper , armoni , shifman and veneziano ( asv ) gave a formal non - perturbative proof of"}
{"subject": "math:arxiv_49834", "predicate": "proves", "object": "we study in detail the role of short - cuts in promoting the emergence of cooperation in a network o"}
{"subject": "math:arxiv_49839", "predicate": "proves", "object": "we clearly formulate and study further a conjecture of effective field theory interaction with gravi"}
{"subject": "math:arxiv_49842", "predicate": "proves", "object": "we propose an alternative classical theory of gravity which assumes that background geometry of the "}
{"subject": "math:arxiv_49856", "predicate": "proves", "object": "the problem of spectra formation in hydrodynamic approach to a+a collisions is considered within the"}
{"subject": "math:arxiv_49866", "predicate": "proves", "object": "asymptotic expansion of the fokker - planck equation in terms of the strength of the fluctuation has"}
{"subject": "math:arxiv_49878", "predicate": "proves", "object": "motivated by recent suggestions that strange stars can be responsible for glitches and other observa"}
{"subject": "math:arxiv_49893", "predicate": "proves", "object": "we examine the non - stationary evolution of a coupled qubit- + transmission line - resonator system"}
{"subject": "math:arxiv_49898", "predicate": "proves", "object": "these notes reflect the contents of three lectures given at the workshop of the 14th international c"}
{"subject": "math:arxiv_49925", "predicate": "proves", "object": "we consider interior penalty discontinuous galerkin finite element ( dgfem ) method for variable coe"}
{"subject": "math:arxiv_49927", "predicate": "proves", "object": "we obtain necessary optimality conditions for higher - order infinite horizon problems of the calcul"}
{"subject": "math:arxiv_49929", "predicate": "proves", "object": "the ads / cft correspondence defines a sector with universal strongly coupled dynamics in the field "}
{"subject": "math:arxiv_49971", "predicate": "proves", "object": "the dynamics of non - spherical rigid particles immersed in an axisymmetric random flow is studied a"}
{"subject": "math:arxiv_49994", "predicate": "proves", "object": "given an arbitrary graph @xmath0 and a field @xmath1 , the prime ideals as well as the primitive ide"}
{"subject": "math:arxiv_50008", "predicate": "proves", "object": "in this paper we derive a probabilistic representation of the deterministic @xmath0-dimensional navi"}
{"subject": "math:arxiv_50018", "predicate": "proves", "object": "in this paper we develop poisson geometry for non - commutative algebras . \n this generalizes the bi"}
{"subject": "math:arxiv_50039", "predicate": "proves", "object": "in this work , we derive particle schemes , based on micro - macro decomposition , for linear kineti"}
{"subject": "math:arxiv_50047", "predicate": "proves", "object": "the `` natural '' magnetic moment of a particle of spin @xmath0 is generally assumed to be that give"}
{"subject": "math:arxiv_50058", "predicate": "proves", "object": "among the simple finite dimensional lie algebras , only @xmath0 possesses two automorphisms of finit"}
{"subject": "math:arxiv_50073", "predicate": "proves", "object": "we obtain weighted @xmath0 strichartz estimates for schrdinger equations @xmath1 , @xmath2 , of gene"}
{"subject": "math:arxiv_50093", "predicate": "proves", "object": "this paper develops and analyzes an interior penalty discontinuous galerkin ( ipdg ) method using pi"}
{"subject": "math:arxiv_50098", "predicate": "proves", "object": "the power mechanism and accretion geometry for low - power fr1 radio galaxies is poorly understood i"}
{"subject": "math:arxiv_50099", "predicate": "proves", "object": "the doppler effects for the reflected wave from a moving media are systemically analyzed in this pap"}
{"subject": "math:arxiv_50142", "predicate": "proves", "object": "two interesting questions in algebraic geometry are : ( i ) how can a smooth projective varieties de"}
{"subject": "math:arxiv_50145", "predicate": "proves", "object": "the use of time - domain boundary integral equations has proved very effective and efficient for thr"}
{"subject": "math:arxiv_50147", "predicate": "proves", "object": "the interplay between the topology of cortical circuits and synchronized activity modes in distinct "}
{"subject": "math:arxiv_50181", "predicate": "proves", "object": "we describe a nonperturbative method for calculating the qcd vacuum and glueball wave functions , ba"}
{"subject": "math:arxiv_50187", "predicate": "proves", "object": "we review what we consider to be the minimal model of quantized conductance in a finite interacting "}
{"subject": "math:arxiv_50206", "predicate": "proves", "object": "we test in a simplified 5-dimensional model with su(3 ) gauge symmetry , the evolution equations of "}
{"subject": "math:arxiv_50225", "predicate": "proves", "object": "the dark soliton solution of the gross - pitaevskii equation in one dimension has two parameters tha"}
{"subject": "math:arxiv_50229", "predicate": "proves", "object": "we use first - principles density functional theory within the local density approximation to ascert"}
{"subject": "math:arxiv_50243", "predicate": "proves", "object": "we formulate the problem of finding the probability that the determinant of a matrix undergoes the l"}
{"subject": "math:arxiv_50264", "predicate": "proves", "object": "we study the connes  kreimer hopf algebra of renormalization in the case of gauge theories . \n we sh"}
{"subject": "math:arxiv_50270", "predicate": "proves", "object": "let @xmath0 be a knot in a closed orientable irreducible 3manifold @xmath1 and let @xmath2 be a heeg"}
{"subject": "math:arxiv_50308", "predicate": "proves", "object": "the tangent bundle as a @xmath0-manifold is equipped with an almost hypercomplex pseudo - hermitian "}
{"subject": "math:arxiv_50309", "predicate": "proves", "object": "the boolean algebra of regular closed sets is prominent in topology , particularly as a dual for the"}
{"subject": "math:arxiv_50315", "predicate": "proves", "object": "an epr local theory with local correlation is proposed to give an explanation for the contractions i"}
{"subject": "math:arxiv_50322", "predicate": "proves", "object": "we study the structure and stability of nonlinear impurity modes in the discrete nonlinear schrdinge"}
{"subject": "math:arxiv_50346", "predicate": "proves", "object": "we consider the @xmath0-painlev iii equation arising from the birational representation of the affin"}
{"subject": "math:arxiv_50357", "predicate": "proves", "object": "we show that the space of euclid s parameters for pythagorean triples is endowed with a natural symp"}
{"subject": "math:arxiv_50361", "predicate": "proves", "object": "we investigate the ( noncommutative ) geometry defined by the standard model , which turns out to be"}
{"subject": "math:arxiv_50370", "predicate": "proves", "object": "we conjecture that every oriented graph @xmath0 on @xmath1 vertices with @xmath2 contains the square"}
{"subject": "math:arxiv_50380", "predicate": "proves", "object": "we give a quantum master equation description of the measurement scheme based on a coplanar microwav"}
{"subject": "math:arxiv_50384", "predicate": "proves", "object": "let @xmath0 be a totally positive algebraic integer , and define its absolute trace to be @xmath1 , "}
{"subject": "math:arxiv_50388", "predicate": "proves", "object": "the hamiltonian @xmath0 specifies the energy levels and time evolution of a quantum theory . \n a sta"}
{"subject": "math:arxiv_50403", "predicate": "proves", "object": "we give a geometric description of the blocks of the brauer algebra @xmath0 in characteristic zero a"}
{"subject": "math:arxiv_50407", "predicate": "proves", "object": "this paper presents explicit algebraic transformations of some gauss hypergeometric functions . \n sp"}
{"subject": "math:arxiv_50416", "predicate": "proves", "object": "the quantum xy , heisenberg , and transverse field ising models on hyperbolic lattices are studied b"}
{"subject": "math:arxiv_50424", "predicate": "proves", "object": "we consider milnor invariants for certain covering links as a generalization of covering linkage inv"}
{"subject": "math:arxiv_50426", "predicate": "proves", "object": "we determine the ring structure of the loop homology of some global quotient orbifolds . \n we can co"}
{"subject": "math:arxiv_50441", "predicate": "proves", "object": "the relativistic dynamic equations are derived for a superfluid - superconducting mixture coupled to"}
{"subject": "math:arxiv_50444", "predicate": "proves", "object": "starting from the bound state hamiltonian equation of motion in qcd , we derive relativistic light -"}
{"subject": "math:arxiv_50455", "predicate": "proves", "object": "to the coverage problem of sensor networks , vin de silva and robert ghrist developed several approa"}
{"subject": "math:arxiv_50472", "predicate": "proves", "object": "we address a linear fractional differential equation and develop effective solution methods using al"}
{"subject": "math:arxiv_50494", "predicate": "proves", "object": "bilattices ( that is , sets with two lattice structures ) provide an algebraic tool to model simulta"}
{"subject": "math:arxiv_50499", "predicate": "proves", "object": "i construct an algebraic model for a typical fiber on a @xmath0 dimensional spacetime . the vector s"}
{"subject": "math:arxiv_50509", "predicate": "proves", "object": "we study solutions @xmath0 of nonhomogeneous nonlinear second order difference equations of the type"}
{"subject": "math:arxiv_50510", "predicate": "proves", "object": "starting with a microscopic model based on the kohn - luttinger hamiltonian and kinetic @xmath0-@xma"}
{"subject": "math:arxiv_50542", "predicate": "proves", "object": "in this paper we continue our studies of the phase space geometry and dynamics associated with index"}
{"subject": "math:arxiv_50545", "predicate": "proves", "object": "we refine and advance the study of the local structure of idempotent finite algebras started in [ a."}
{"subject": "math:arxiv_50555", "predicate": "proves", "object": "we reformulate the persistent ( co)homology of simplicial filtrations , viewed from a more algebraic"}
{"subject": "math:arxiv_50557", "predicate": "proves", "object": "the geodesic deviation equation is being studied in brans - dicke - rastall gravity . \n we briefly d"}
{"subject": "math:arxiv_50565", "predicate": "proves", "object": "we present the applications of variational \n wavelet approach to nonlinear ( rational ) model for sp"}
{"subject": "math:arxiv_50594", "predicate": "proves", "object": "theory of computer calculations strongly depends on the nature of elements the computer is made of ."}
{"subject": "math:arxiv_50601", "predicate": "proves", "object": "thermoelectric transport in strongly spin - orbit coupled two - dimensional rashba system is studied"}
{"subject": "math:arxiv_50617", "predicate": "proves", "object": "in this article we formulate the superperturbation theory for the anderson impurity model on the rea"}
{"subject": "math:arxiv_50621", "predicate": "proves", "object": "a symmetry preserving framework for the study of continuum quantum chromodynamics ( qcd ) is obtaine"}
{"subject": "math:arxiv_50625", "predicate": "proves", "object": "it has been established that local lattice spin hamiltonians can be used for universal adiabatic qua"}
{"subject": "math:arxiv_50627", "predicate": "proves", "object": "we investigate non - linear schrdinger - type formulation of cosmology of which our cosmological sys"}
{"subject": "math:arxiv_50631", "predicate": "proves", "object": "we study multiple - period bloch states of a bose - einstein condensate with spatially periodic inte"}
{"subject": "math:arxiv_50637", "predicate": "proves", "object": "we consider compact @xmath0-manifolds @xmath1 having a submersion @xmath2 to @xmath3 in which each g"}
{"subject": "math:arxiv_50657", "predicate": "proves", "object": "we relate the geometrical construction of ( 2 + 1)-spacetimes via grafting to phase space and poisso"}
{"subject": "math:arxiv_50677", "predicate": "proves", "object": "we consider a diffusion equation with highly oscillatory coefficients that admits a homogenized limi"}
{"subject": "math:arxiv_50700", "predicate": "proves", "object": "the security of quantum cryptography is guaranteed by the no - cloning theorem , which implies that "}
{"subject": "math:arxiv_50723", "predicate": "proves", "object": "for very general scalar - field theories in which the equations of motion are at second - order , we"}
{"subject": "math:arxiv_50729", "predicate": "proves", "object": "the panharmonic measure is a generalization of the harmonic measure for the solutions of the yukawa "}
{"subject": "math:arxiv_50735", "predicate": "proves", "object": "amplitude amplification is one of primary tools in building algorithms for quantum computers . \n thi"}
{"subject": "math:arxiv_50739", "predicate": "proves", "object": "the prediction of the equation of state and the phase behavior of simple fluids ( noble gases , carb"}
{"subject": "math:arxiv_50742", "predicate": "proves", "object": "the raychaudhuri equation enables to examine the whole spacetime structure without specific solution"}
{"subject": "math:arxiv_50756", "predicate": "proves", "object": "we calculate the short time and the long time diffusion coefficient of a spherical tracer particle i"}
{"subject": "math:arxiv_50757", "predicate": "proves", "object": "the pressure of a gas of particles with a uniformly repulsive pair interaction in a finite container"}
{"subject": "math:arxiv_50780", "predicate": "proves", "object": "we provide an explicit dynkin diagrammatic description of the @xmath0-vectors and the @xmath1-vector"}
{"subject": "math:arxiv_50791", "predicate": "proves", "object": "we address the problems of an energy spectrum and backscattering of massive dirac fermions confined "}
{"subject": "math:arxiv_50806", "predicate": "proves", "object": "the poincare - hopf theorem tells us that given a smooth , structurally stable vector field on a sur"}
{"subject": "math:arxiv_50835", "predicate": "proves", "object": "we introduce a statistical model for the problem of finding a subgraph with specified topology in an"}
{"subject": "math:arxiv_50852", "predicate": "proves", "object": "we analyze the behaviour of geodesic motion of test particles in the spacetime of a specific class o"}
{"subject": "math:arxiv_50853", "predicate": "proves", "object": "a formalism for quantum error correction based on operator algebras was introduced in @xcite via con"}
{"subject": "math:arxiv_50873", "predicate": "proves", "object": "we numerically solve the underdamped langevin equation to obtain the trajectories of a particle in a"}
{"subject": "math:arxiv_50874", "predicate": "proves", "object": "we reproduce patterns of drying paste by means of smoothed particle hydrodynamics which is the one o"}
{"subject": "math:arxiv_50917", "predicate": "proves", "object": "we evaluate the dispersion relation for massless fermions , described by the dirac equation , and fo"}
{"subject": "math:arxiv_50947", "predicate": "proves", "object": "we present a formulation of the constrained path monte carlo ( cpmc ) method for fermions that uses "}
{"subject": "math:arxiv_50954", "predicate": "proves", "object": "working with electrodynamics in the geometrical optics approximation we derive the expression repres"}
{"subject": "math:arxiv_50955", "predicate": "proves", "object": "this paper considers the single factor heath - jarrow - morton model for the interest rate curve wit"}
{"subject": "math:arxiv_50972", "predicate": "proves", "object": "we consider self - trapping of topological modes governed by the one- and two - dimensional ( 1d and"}
{"subject": "math:arxiv_50973", "predicate": "proves", "object": "in this paper we consider word equations with one variable ( and arbitrary many occurrences of it ) "}
{"subject": "math:arxiv_51011", "predicate": "proves", "object": "we propose @xmath0-deformation of the gamayun - iorgov - lisovyy formula for painlev @xmath1 functio"}
{"subject": "math:arxiv_51017", "predicate": "proves", "object": "despite our present - day inability to predict the topology of the universe it is expected that we s"}
{"subject": "math:arxiv_51073", "predicate": "proves", "object": "we develop numerical tools and apply them to solve the relativistic yang  mills \n higgs equations in"}
{"subject": "math:arxiv_51079", "predicate": "proves", "object": "a simple model for cooperation between `` selfish '' agents , which play an extended version of the "}
{"subject": "math:arxiv_51085", "predicate": "proves", "object": "we consider a stochastic population model where the intrinsic or demographic noise causes cycling be"}
{"subject": "math:arxiv_51091", "predicate": "proves", "object": "the standard text - book jacobi equation ( equation of geodesic deviation ) arises by linearizing th"}
{"subject": "math:arxiv_51109", "predicate": "proves", "object": "we present an _ ab initio _ calculation of the dc conductivity of amorphous silicon and hydrogenated"}
{"subject": "math:arxiv_51115", "predicate": "proves", "object": "-.6 in -.6 in .4 in we propose a new solution to the strong cp problem based on supersymmetric non -"}
{"subject": "math:arxiv_51118", "predicate": "proves", "object": "we consider a quantum emitter (  atom \" ) radiating in a one - dimensional ( 1d ) photonic waveguide"}
{"subject": "math:arxiv_51120", "predicate": "proves", "object": "the generalized stokes theorem ( connecting integrals of dimensions 3 and 4 ) is formulated in a cur"}
{"subject": "math:arxiv_51121", "predicate": "proves", "object": "we prove structural stability under perturbations for a class of discrete - time dynamical systems n"}
{"subject": "math:arxiv_51125", "predicate": "proves", "object": "we present an explicit formula relating volumes of strata of meromorphic quadratic differentials wit"}
{"subject": "math:arxiv_51157", "predicate": "proves", "object": "we present a rainbow ramsey version of the well - known ramsey - type theorem of richard rado . \n we"}
{"subject": "math:arxiv_51161", "predicate": "proves", "object": "we establish the uniqueness of a saddle - shaped solution to the diffusion equation @xmath0 in all o"}
{"subject": "math:arxiv_51205", "predicate": "proves", "object": "in this paper we show that all 3-manifolds of a family introduced by m. j. dunwoody are cyclic cover"}
{"subject": "math:arxiv_51214", "predicate": "proves", "object": "we formulate the lattice qcd simulation with background classical gravitational fields . \n this form"}
{"subject": "math:arxiv_51237", "predicate": "proves", "object": "we derive a set of rotationally covariant amplitude equations for use in multiscale simulation of th"}
{"subject": "math:arxiv_51239", "predicate": "proves", "object": "we present a novel , high - order , efficient , and exponentially convergent shifted gegenbauer inte"}
{"subject": "math:arxiv_51245", "predicate": "proves", "object": "we study pion production from proton synchrotron radiation in the presence of strong magnetic fields"}
{"subject": "math:arxiv_51249", "predicate": "proves", "object": "for hyperbolic riemann surfaces of finite geometry , we study selberg s zeta function and its relati"}
{"subject": "math:arxiv_51255", "predicate": "proves", "object": "this paper presents a detailed asymptotic study of the nonlinear differential equation @xmath0 $ ] s"}
{"subject": "math:arxiv_51260", "predicate": "proves", "object": "field theory tools are applied to analytically study fluctuation and correlation effects in spatiall"}
{"subject": "math:arxiv_51265", "predicate": "proves", "object": "let @xmath0 be a complex finite - dimensional semisimple lie algebra and @xmath1 be any @xmath2-suba"}
{"subject": "math:arxiv_51270", "predicate": "proves", "object": "it is shown that the warped product spacetime @xmath0 , where @xmath1 is a complete riemannian manif"}
{"subject": "math:arxiv_51289", "predicate": "proves", "object": "we study the dynamics of vortex nucleation and lattice formation in a bose \n einstein condensate in "}
{"subject": "math:arxiv_51313", "predicate": "proves", "object": "the detailed formulation for loop quantum cosmology ( lqc ) in the bianchi i model with a scalar mas"}
{"subject": "math:arxiv_51326", "predicate": "proves", "object": "the consequences of the theorems about ontological models are studied . _ \n maximally @xmath0-episte"}
{"subject": "math:arxiv_51349", "predicate": "proves", "object": "in many chemical and biological applications , systems of differential equations containing unknown "}
{"subject": "math:arxiv_51360", "predicate": "proves", "object": "we present a reformulation of @xmath0 yang - mills theory in the maximal abelian gauge , where the n"}
{"subject": "math:arxiv_51369", "predicate": "proves", "object": "a reggeometric ( regge+geometry ) model , based on the observed proportionality between the forward "}
{"subject": "math:arxiv_51373", "predicate": "proves", "object": "we perform large - scale numerical calculations self - consistently solving the bogoliubov - de genn"}
{"subject": "math:arxiv_51394", "predicate": "proves", "object": "the formation of h@xmath0 and hd molecules on interstellar dust grains is studied using rate equatio"}
{"subject": "math:arxiv_51399", "predicate": "proves", "object": "we place observational constraints on models with the late - time cosmic acceleration based on a num"}
{"subject": "math:arxiv_51401", "predicate": "proves", "object": "a geometric diagram that allows one to visualize the poincar formula for relativistic addition of ve"}
{"subject": "math:arxiv_51405", "predicate": "proves", "object": "in the present analysis , we consider the controllability problem of the abstract schrdinger equatio"}
{"subject": "math:arxiv_51422", "predicate": "proves", "object": "the murnaghan - nakayama rule is the classical formula for computing the character table of @xmath0 "}
{"subject": "math:arxiv_51423", "predicate": "proves", "object": "we introduce two simple models of forward - backward stochastic differential equations with a singul"}
{"subject": "math:arxiv_51443", "predicate": "proves", "object": "a simple quasiparticle model , motivated by lowest - order perturbative qcd , is proposed . \n it is "}
{"subject": "math:arxiv_51454", "predicate": "proves", "object": "we show that the projected gross - pitaevskii equation ( pgpe ) can be mapped exactly onto hamilton "}
{"subject": "math:arxiv_51457", "predicate": "proves", "object": "we classify the normal @xmath0 structures on @xmath1 and their automorphism groups . \n together with"}
{"subject": "math:arxiv_51481", "predicate": "proves", "object": "a single closed - form analytical solution of the driven nonlinear schrdinger equation is developed "}
{"subject": "math:arxiv_51486", "predicate": "proves", "object": "in this paper we introduce a new clustering technique called _ \n regularity clustering_. this new te"}
{"subject": "math:arxiv_51490", "predicate": "proves", "object": "we investigate electrical transport through a single - electron transistor coupled to a nanomechanic"}
{"subject": "math:arxiv_51491", "predicate": "proves", "object": "in this letter is shown that it is possible to obtain scalar hypersurfaces in 5d n=2 sugra where the"}
{"subject": "math:arxiv_51502", "predicate": "proves", "object": "we show that if a surgery on a knot in a product sutured manifold yields the same product sutured ma"}
{"subject": "math:arxiv_51508", "predicate": "proves", "object": "distributed - phase - reference quantum key distribution stands out for its easy implementation with"}
{"subject": "math:arxiv_51520", "predicate": "proves", "object": "inference in bayesian statistics involves the evaluation of marginal likelihood integrals . \n we pre"}
{"subject": "math:arxiv_51537", "predicate": "proves", "object": "garoufalidis and levine defined a filtration for 3-manifolds equipped with some degree 1 map ( @xmat"}
{"subject": "math:arxiv_51548", "predicate": "proves", "object": "the direct solution of the many - particle schrdinger equation is computationally inaccessible for m"}
{"subject": "math:arxiv_51562", "predicate": "proves", "object": "a nontrivial topology of the spatial section of the universe is an observable , which can be probed "}
{"subject": "math:arxiv_51563", "predicate": "proves", "object": "one of the most direct routes for investigating the geometry of the universe is provided by the numb"}
{"subject": "math:arxiv_51564", "predicate": "proves", "object": "the kohn variational principle is formulated for calculating elastic proton  deuteron scattering amp"}
{"subject": "math:arxiv_51581", "predicate": "proves", "object": "a multivariate polynomial is _ stable _ if it is nonvanishing whenever all variables have positive i"}
{"subject": "math:arxiv_51594", "predicate": "proves", "object": "this work is devoted to convergence analysis of an exponential integrator scheme for semi - discreti"}
{"subject": "math:arxiv_51645", "predicate": "proves", "object": "we study rabi oscillations between the bands of an arbitrary biased superlattice in a tight - bindin"}
{"subject": "math:arxiv_51658", "predicate": "proves", "object": "a dynamical pair breaking effect is evidenced at very low excitation energies . for this purpose , a"}
{"subject": "math:arxiv_51663", "predicate": "proves", "object": "several models for the pricing of derivative securities in illiquid markets are discussed . \n a typi"}
{"subject": "math:arxiv_51665", "predicate": "proves", "object": "we show the np - completeness of the existential theory of term algebras with the knuth - bendix ord"}
{"subject": "math:arxiv_51669", "predicate": "proves", "object": "let @xmath0 be a group of order @xmath1 . \n we consider the algebra @xmath2 of @xmath1 by @xmath1 ma"}
{"subject": "math:arxiv_51677", "predicate": "proves", "object": "an evolutionary prisoner s dilemma ( pd ) game is studied with players located on a hierarchical str"}
{"subject": "math:arxiv_51688", "predicate": "proves", "object": "colmez conjectured a product formula for periods of abelian varieties with complex multiplication by"}
{"subject": "math:arxiv_51690", "predicate": "proves", "object": "in order to derive equation of state for the pure @xmath0 yang - mills fields from first principles "}
{"subject": "math:arxiv_51706", "predicate": "proves", "object": "the magnetic properties and nature of the persistent current in small flux - penetrated @xmath0 ring"}
{"subject": "math:arxiv_51717", "predicate": "proves", "object": "we characterize the exact lumpability of smooth vector fields on smooth manifolds . \n we derive nece"}
{"subject": "math:arxiv_51725", "predicate": "proves", "object": "we study scattering and capture of particles by a rotating black hole in the five - dimensional spac"}
{"subject": "math:arxiv_51739", "predicate": "proves", "object": "for a convex cocompact subgroup @xmath0 , and points @xmath1 we obtain asymptotic formulas as @xmath"}
{"subject": "math:arxiv_51743", "predicate": "proves", "object": "we employed a real - space formulation of orbital - free density functional theory using finite - el"}
{"subject": "math:arxiv_51755", "predicate": "proves", "object": "the time - convolutionless ( tcl ) non - markovian master equation was generally thought to break do"}
{"subject": "math:arxiv_51756", "predicate": "proves", "object": "the self - consistent field theory of brushes of neutral water - soluble polymers described by two -"}
{"subject": "math:arxiv_51761", "predicate": "proves", "object": "we develop a microscopic formulation of dynamical spin injection in heterostructure comprising nonma"}
{"subject": "math:arxiv_51770", "predicate": "proves", "object": "it is conjectured that for every convex disks @xmath0 , the translative covering density of @xmath0 "}
{"subject": "math:arxiv_51777", "predicate": "proves", "object": "we develop an invariant deformation theory , in a form accessible to practice , for affine schemes @"}
{"subject": "math:arxiv_51780", "predicate": "proves", "object": "a foundational theorem of laman provides a counting characterisation of the finite simple graphs who"}
{"subject": "math:arxiv_51783", "predicate": "proves", "object": "we investigate the microscopic mechanism of quantum energy transfer in the nonequilibrium spin - bos"}
{"subject": "math:arxiv_51795", "predicate": "proves", "object": "we determine explicitly the maximal dominant weights for the integrable highest weight @xmath0-modul"}
{"subject": "math:arxiv_51805", "predicate": "proves", "object": "we revise the dirac equation for a free particle and investigate lorentz transformations on spinors "}
{"subject": "math:arxiv_51811", "predicate": "proves", "object": "in part i of this paper , i proposed a new set of equations , which i refer to as the @xmath0-formul"}
{"subject": "math:arxiv_51817", "predicate": "proves", "object": "let @xmath0 be a preprojective algebra of type @xmath1 , and let @xmath2 be the corresponding semisi"}
{"subject": "math:arxiv_51835", "predicate": "proves", "object": "the equation of state ( eos ) is an important issue in numerical simulation codes for relativistic h"}
{"subject": "math:arxiv_51839", "predicate": "proves", "object": "many nonlinear partial differential equations ( pdes ) display a coarsening dynamics , i.e. , an eme"}
{"subject": "math:arxiv_51840", "predicate": "proves", "object": "we study perturbed dirac operators of the form @xmath0 over a compact riemannian manifold @xmath1 wi"}
{"subject": "math:arxiv_51870", "predicate": "proves", "object": "we present an analytical unified representation for 22 equations of state ( eos ) of dense matter in"}
{"subject": "math:arxiv_51880", "predicate": "proves", "object": "we present a solution for the geodesic motion in gdel s universe that provides a particular proof of"}
{"subject": "math:arxiv_51898", "predicate": "proves", "object": "we study the interacting dark energy model with time varying dark energy equation of state . \n we ex"}
{"subject": "math:arxiv_51902", "predicate": "proves", "object": "only very recently a trigonometric proof of the pythagoras theorem was given by zimba @xcite , many "}
{"subject": "math:arxiv_51906", "predicate": "proves", "object": "in order to examine the gravitational waves emitted from the neutron stars in the tensor - vector - "}
{"subject": "math:arxiv_51915", "predicate": "proves", "object": "the energy spectrum for three species of identical fermionic atoms close to a feshbach resonance is "}
{"subject": "math:arxiv_51919", "predicate": "proves", "object": "we study a number of filtering schemes for the reduction of the statistical error in non - adiabatic"}
{"subject": "math:arxiv_51922", "predicate": "proves", "object": "a hamiltonian approach to the solution of the vlasov - poisson equations has been developed . \n base"}
{"subject": "math:arxiv_51925", "predicate": "proves", "object": "combining the properties of monovariate internal functions as proposed in kolmogorov superimposition"}
{"subject": "math:arxiv_51933", "predicate": "proves", "object": "a recently developed method @xcite for incorporating initial binary correlations into the kadanoff  "}
{"subject": "math:arxiv_51947", "predicate": "proves", "object": "we derive from first principles equations governing ( a ) the quadrupole tensor of a star distorted "}
{"subject": "math:arxiv_51961", "predicate": "proves", "object": "we present a systematic discretization scheme for the kardar - parisi - zhang ( kpz ) equation , whi"}
{"subject": "math:arxiv_51963", "predicate": "proves", "object": "properties and structure of neutron stars are determined by the equation of state ( eos ) of neutron"}
{"subject": "math:arxiv_51969", "predicate": "proves", "object": "let @xmath0 be a complete non compact orientable surface of non negative curvature . \n we prove in t"}
{"subject": "math:arxiv_51976", "predicate": "proves", "object": "the distribution of inequivalent geometries occurring during self - assembly of the major capsid pro"}
{"subject": "math:arxiv_51981", "predicate": "proves", "object": "the bethe - salpeter equation restores exact elastic unitarity in the @xmath0 channel by summing up "}
{"subject": "math:arxiv_51990", "predicate": "proves", "object": "in this paper , we formulate a general time - inconsistent stochastic linear  quadratic ( lq ) contr"}
{"subject": "math:arxiv_52021", "predicate": "proves", "object": "in this paper we present a vectorial darboux transformation , in terms of ordinary determinants , fo"}
{"subject": "math:arxiv_52027", "predicate": "proves", "object": "pythagoras theorem , the area of a triangle as one half the base times the height , and heron s form"}
{"subject": "math:arxiv_52038", "predicate": "proves", "object": "we present a numerical method for the approximation of solutions for the class of stochastic differe"}
{"subject": "math:arxiv_52062", "predicate": "proves", "object": "within warped extra dimension models that explain flavor through geometry , flavor changing neutral "}
{"subject": "math:arxiv_52064", "predicate": "proves", "object": "in this paper , we establish a sharp @xmath0-theory for stochastic partial differential equations of"}
{"subject": "math:arxiv_52074", "predicate": "proves", "object": "in this paper , we give a proof of the result of brandenbursky and kdra which says that the commutat"}
{"subject": "math:arxiv_52081", "predicate": "proves", "object": "acoustic waves in fluids undergoing the transition from sub- to supersonic flow satisfy governing eq"}
{"subject": "math:arxiv_52083", "predicate": "proves", "object": "the purpose of this paper is to give a short microlocal proof of the meromorphic continuation of the"}
{"subject": "math:arxiv_52115", "predicate": "proves", "object": "marginally specified models have recently become a popular tool for discrete longitudinal data analy"}
{"subject": "math:arxiv_52128", "predicate": "proves", "object": "we present a description and validation of a finite volume solver aimed at solving the problems of m"}
{"subject": "math:arxiv_52140", "predicate": "proves", "object": "in a functional approach to qcd the infrared behaviour of landau gauge green functions is investigat"}
{"subject": "math:arxiv_52146", "predicate": "proves", "object": "in this article , we characterize the strength of the reconstructed singularities and artifacts in a"}
{"subject": "math:arxiv_52147", "predicate": "proves", "object": "we present a unified derivation of covariant time derivatives , which transform as tensors under a t"}
{"subject": "math:arxiv_52153", "predicate": "proves", "object": "the lagrangian of the time fractional kdv equation is derived in similar form to the lagrangian of t"}
{"subject": "math:arxiv_52156", "predicate": "proves", "object": "two theorems related to gravitational time delay are proven . \n both theorems apply to spacetimes sa"}
{"subject": "math:arxiv_52217", "predicate": "proves", "object": "inscribed angles are investigated in taxicab geometry with application to the existence and uniquene"}
{"subject": "math:arxiv_52226", "predicate": "proves", "object": "we derive a transformation of the noncommutative geometry inspired schwarzschild solution into new c"}
{"subject": "math:arxiv_52251", "predicate": "proves", "object": "local models are schemes , defined in terms of linear algebra , that were introduced by rapoport and"}
{"subject": "math:arxiv_52295", "predicate": "proves", "object": "we study relationships between the colored jones polynomial and the a - polynomial of a knot . the a"}
{"subject": "math:arxiv_52316", "predicate": "proves", "object": "we construct phenomenologically a relativistic particle - particle channel interaction which suits t"}
{"subject": "math:arxiv_52319", "predicate": "proves", "object": "we use combinatorial group theory methods to extend the definition of a classical james - hopf invar"}
{"subject": "math:arxiv_52322", "predicate": "proves", "object": "the relation between thermodynamic phase transitions in classical systems and topology changes in th"}
{"subject": "math:arxiv_52345", "predicate": "proves", "object": "the serre - green - naghdi system is a coupled , fully nonlinear system of dispersive evolution equa"}
{"subject": "math:arxiv_52356", "predicate": "proves", "object": "we study the interaction of the a @xmath0 and @xmath1 , @xmath2 with spins aligned using the fixed c"}
{"subject": "math:arxiv_52396", "predicate": "proves", "object": "we investigate combined effects of nontrivial topology , induced by a cosmic string , and boundaries"}
{"subject": "math:arxiv_52398", "predicate": "proves", "object": "we present a security proof for establishing private entanglement by means of recurrence - type enta"}
{"subject": "math:arxiv_52416", "predicate": "proves", "object": "as part of his work to develop an explicit trace formula for hecke operators on congruence subgroups"}
{"subject": "math:arxiv_52425", "predicate": "proves", "object": "we show that the observed pattern of quark flavor mixing , such as @xmath0 , @xmath1 , @xmath2 and @"}
{"subject": "math:arxiv_52486", "predicate": "proves", "object": "using numerical simulations of the time - dependent schrdinger equation , we study the full quantum "}
{"subject": "math:arxiv_52507", "predicate": "proves", "object": "parabosonic algebra in infinite degrees of freedom is presented as a generalization of the bosonic a"}
{"subject": "math:arxiv_52528", "predicate": "proves", "object": "in the context of equation - free computation , we devise and implement a procedure for using short "}
{"subject": "math:arxiv_52531", "predicate": "proves", "object": "we interpret a recent formula for counting orbits of @xmath0 in terms of counting fixed points as ad"}
{"subject": "math:arxiv_52534", "predicate": "proves", "object": "a general quantum adiabatic theorem with and without the time - dependent orthogonalization is prove"}
{"subject": "math:arxiv_52559", "predicate": "proves", "object": "we provide an algebraic framework to compute smallest enclosing and smallest circumscribing cylinder"}
{"subject": "math:arxiv_52568", "predicate": "proves", "object": "in this article we apply the technique of luttinger surgery to study the complexity of the fundament"}
{"subject": "math:arxiv_52571", "predicate": "proves", "object": "in the weak - coupling regime of the continuous theories , two sets of one - loop renormalization gr"}
{"subject": "math:arxiv_52574", "predicate": "proves", "object": "both linear and nonlinear langevin equations are derived directly from the liouville equation for an"}
{"subject": "math:arxiv_52575", "predicate": "proves", "object": "in this geometrical approach to gravitational lensing theory , we apply the gauss - bonnet theorem t"}
{"subject": "math:arxiv_52582", "predicate": "proves", "object": "the continuum faddeev equations for the neutron - neutron - alpha ( n+n+@xmath0 ) system are formula"}
{"subject": "math:arxiv_52597", "predicate": "proves", "object": "scott s graph model is a lambda - algebra based on the observation that continuous endofunctions on "}
{"subject": "math:arxiv_52613", "predicate": "proves", "object": "we solve the problem of identifying ( reconstructing ) network topology from steady state network me"}
{"subject": "math:arxiv_52614", "predicate": "proves", "object": "we give an algebraic geometric proof of the theorem of ax and kochen on p - adic diophantine equatio"}
{"subject": "math:arxiv_52627", "predicate": "proves", "object": "* abstract . * we study the exponential stability of evolutionary equations . \n the focus is laid on"}
{"subject": "math:arxiv_52637", "predicate": "proves", "object": "combining incoming and outgoing characteristic formulations can provide numerical relativists with a"}
{"subject": "math:arxiv_52652", "predicate": "proves", "object": "the age of the universe is obtained in a subset of cardassian models by using wmap data . \n cardassi"}
{"subject": "math:arxiv_52678", "predicate": "proves", "object": "in his book _ topics in analytic number theory _ , hans rademacher conjectured that the limits of ce"}
{"subject": "math:arxiv_52684", "predicate": "proves", "object": "higher order corrections to the balitsky  kovchegov equation have been estimated by introducing a ra"}
{"subject": "math:arxiv_52694", "predicate": "proves", "object": "epidemic dynamics in a stochastic network of interacting epidemic centers is considered . \n the epid"}
{"subject": "math:arxiv_52701", "predicate": "proves", "object": "the dyadic green functions for a uniaxial dielectric  magnetic medium , together with a reversible f"}
{"subject": "math:arxiv_52702", "predicate": "proves", "object": "we report on theoretical analysis of large amplitude current dynamics due to bragg reflections in ca"}
{"subject": "math:arxiv_52706", "predicate": "proves", "object": "we generalize killing equations to a test particle system which is subjected to external force . \n w"}
{"subject": "math:arxiv_52709", "predicate": "proves", "object": "we examine a proposal by sherson and mlmer to generate polarization - squeezed light in terms of the"}
{"subject": "math:arxiv_52742", "predicate": "proves", "object": "the three dimensional mean spherical model on a hypercubic lattice with a film geometry @xmath0 unde"}
{"subject": "math:arxiv_52746", "predicate": "proves", "object": "in 1905 , einstein formulated his special relativity for point particles . for those particles , \n h"}
{"subject": "math:arxiv_52749", "predicate": "proves", "object": "we define pollicott  ruelle resonances for geodesic flows on noncompact asymptotically hyperbolic ne"}
{"subject": "math:arxiv_52755", "predicate": "proves", "object": "the green s functions are constructed and a one - loop calculation is given for the scalar and vecto"}
{"subject": "math:arxiv_52756", "predicate": "proves", "object": "the topological condition for the existence of a pin@xmath0 structure on the product of two riemanni"}
{"subject": "math:arxiv_52765", "predicate": "proves", "object": "we obtain some obstructions to existence of legendrian surgeries between tight lens spaces . \n we al"}
{"subject": "math:arxiv_52767", "predicate": "proves", "object": "we obtained steady solutions to the two - dimensional boussinesq approximation equations without mea"}
{"subject": "math:arxiv_52816", "predicate": "proves", "object": "we establish a complete set of hydrodynamic equations for a spin-1 bose - einstein condensate ( bec "}
{"subject": "math:arxiv_52827", "predicate": "proves", "object": "within the framework of a multi - phase transport model , we study the equation of state and pressur"}
{"subject": "math:arxiv_52857", "predicate": "proves", "object": "this is a brief discussion of the following features of the universal extra dimension ( ued ) model "}
{"subject": "math:arxiv_52868", "predicate": "proves", "object": "spin relaxation in the ultrathin metallic films of stacked microelectronic devices is investigated o"}
{"subject": "math:arxiv_52877", "predicate": "proves", "object": "we present a detailed analytical study of the @xmath0 diffusion - annihilation process in complex ne"}
{"subject": "math:arxiv_52893", "predicate": "proves", "object": "we investigate the spin hall effect ( she ) in a wide class of spin - orbit coupling systems by usin"}
{"subject": "math:arxiv_52917", "predicate": "proves", "object": "the equations of motion of a point particle interacting with its own field are defined in terms of a"}
{"subject": "math:arxiv_52937", "predicate": "proves", "object": "we investigate the effect of quantum interferences and coulomb interaction on the counting statistic"}
{"subject": "math:arxiv_52954", "predicate": "proves", "object": "in this paper we consider a schrdinger equation on the circle with a quadratic nonlinearity . \n than"}
{"subject": "math:arxiv_52958", "predicate": "proves", "object": "it is the common lore to assume that knowing the equation for the probability distribution function "}
{"subject": "math:arxiv_52959", "predicate": "proves", "object": "a microscopic approach that is based on the multisubband semiconductor bloch equations formulated in"}
{"subject": "math:arxiv_52960", "predicate": "proves", "object": "radiatively generated neutrino masses ( @xmath0 ) are proportional to supersymmetry ( susy ) breakin"}
{"subject": "math:arxiv_52964", "predicate": "proves", "object": "driving the analogy between the coherent excitation of a two - state quantum system and the torque e"}
{"subject": "math:arxiv_52977", "predicate": "proves", "object": "in this paper , we define a hopf algebra structure on the vector space spanned by packed words using"}
{"subject": "math:arxiv_52985", "predicate": "proves", "object": "we calculate the tunneling conductance spectra of a ferromagnetic metal / insulator / superconductor"}
{"subject": "math:arxiv_52991", "predicate": "proves", "object": "this paper is concerned with non - stationary flows of shear - thinning fluids in a bounded two - di"}
{"subject": "math:arxiv_52994", "predicate": "proves", "object": "an important stability  theorem in shape theory , due to d.a . edwards and r. geoghegan , characteri"}
{"subject": "math:arxiv_52998", "predicate": "proves", "object": "our goal is to interpret the energy equation from doubly special relativity ( dsr ) of magueijo - sm"}
{"subject": "math:arxiv_53005", "predicate": "proves", "object": "eisenklbl gave a formula for the number of lozenge tilings of a hexagon on the triangular lattice wi"}
{"subject": "math:arxiv_53032", "predicate": "proves", "object": "we derive a high energy factorization theorem for inclusive gluon production in a+a collisions . \n o"}
{"subject": "math:arxiv_53035", "predicate": "proves", "object": "we give a short proof for the existence of the small witt design which is based on the projective pl"}
{"subject": "math:arxiv_53057", "predicate": "proves", "object": "we show that if @xmath0 is a groupoid dynamical system with @xmath1 continuous trace , then the cros"}
{"subject": "math:arxiv_53083", "predicate": "proves", "object": "for flows of a lossless gas , the stagnation enthalpy obeys a linear convected wave equation with co"}
{"subject": "math:arxiv_53084", "predicate": "proves", "object": "we theoretically analyze antibunching of the phonon field in an optomechanical oscillator employing "}
{"subject": "math:arxiv_53086", "predicate": "proves", "object": "the title equation , where @xmath0 is a prime number @xmath1 , @xmath2 is an odd prime number and @x"}
{"subject": "math:arxiv_53087", "predicate": "proves", "object": "large - scale magnetic fields affect the scalar modes of the geometry whose ultimate effect is to de"}
{"subject": "math:arxiv_53093", "predicate": "proves", "object": "we discuss the modified maxwell action of a @xmath0-type lorentz symmetry breaking theory and presen"}
{"subject": "math:arxiv_53100", "predicate": "proves", "object": "we study the rare b decay @xmath0 using soft - collinear effective theory ( scet ) . at leading powe"}
{"subject": "math:arxiv_53106", "predicate": "proves", "object": "we give a proof that there exists a universal constant @xmath0 such that the disc graph associated t"}
{"subject": "math:arxiv_53110", "predicate": "proves", "object": "we provide an equation of state for hot nuclear matter in @xmath0-equilibrium by applying a momentum"}
{"subject": "math:arxiv_53140", "predicate": "proves", "object": "we study free - free absorption of radio emission by winds of massive stars . \n we derive formulae f"}
{"subject": "math:arxiv_53142", "predicate": "proves", "object": "the bohm - gadella theory , sometimes referred to as the time asymmetric quantum theory of scatterin"}
{"subject": "math:arxiv_53143", "predicate": "proves", "object": "previous work has shown that benjamin  feir unstable traveling waves of the complex ginzburg  landau"}
{"subject": "math:arxiv_53147", "predicate": "proves", "object": "we study the interplay between the behaviour of approximately convex ( and approximately affine ) fu"}
{"subject": "math:arxiv_53148", "predicate": "proves", "object": "recently [ europhys . lett . * 98 * , 37006 ( 2012 ) ] , based on heuristic arguments , it was conje"}
{"subject": "math:arxiv_53172", "predicate": "proves", "object": "the quantum master equation applied to electronic transport through nanoscopic devices provides info"}
{"subject": "math:arxiv_53193", "predicate": "proves", "object": "let @xmath0 denote the argument of the riemann zeta - function , @xmath1 , at the point @xmath2 . as"}
{"subject": "math:arxiv_53201", "predicate": "proves", "object": "we investigate in this paper the structures of neutron stars under the strong magnetic field in the "}
{"subject": "math:arxiv_53218", "predicate": "proves", "object": "we consider some smooth maps on a bouquet of circles . for these maps \n we can compute the number of"}
{"subject": "math:arxiv_53219", "predicate": "proves", "object": "in this paper we prove a functional limit theorem for the weighted profile of a @xmath0-ary tree . f"}
{"subject": "math:arxiv_53227", "predicate": "proves", "object": "we study the dynamics of homoclinic classes on three dimensional manifolds under the robust absence "}
{"subject": "math:arxiv_53229", "predicate": "proves", "object": "we consider four combinatorial interpretations for the algebra of boolean differential operators and"}
{"subject": "math:arxiv_53245", "predicate": "proves", "object": "we introduce the notion of twisted generalized complex submanifolds and describe an equivalent chara"}
{"subject": "math:arxiv_53246", "predicate": "proves", "object": "we study second order equations and systems on non - lipschitz domains including mixed boundary cond"}
{"subject": "math:arxiv_53249", "predicate": "proves", "object": "we establish sharp ( or ` refined ' ) comparison theorems for the klein  gordon equation . \n we show"}
{"subject": "math:arxiv_53255", "predicate": "proves", "object": "this paper is devoted to study the modified holographic dark energy model by taking its different as"}
{"subject": "math:arxiv_53263", "predicate": "proves", "object": "we derive an approximate analytical solution of the self - consistency equations of the bosonic dyna"}
{"subject": "math:arxiv_53280", "predicate": "proves", "object": "the study of curved d - brane geometries in type ii strings implies a general relation between local"}
{"subject": "math:arxiv_53291", "predicate": "proves", "object": "we derive the relativistic energy spectrum for the modified dirac equation by adding a harmonic osci"}
{"subject": "math:arxiv_53309", "predicate": "proves", "object": "in this paper we use fractal geometry to investigate boundary aspects of the first homology group fo"}
{"subject": "math:arxiv_53313", "predicate": "proves", "object": "a central problem in the theory of the dynamics of open quantum systems is the derivation of a rigor"}
{"subject": "math:arxiv_53329", "predicate": "proves", "object": "we develop a functional integral approach to quantum liouville field theory completely independent o"}
{"subject": "math:arxiv_53335", "predicate": "proves", "object": "we solve the geodesic deviation equations for the orbital motions in the schwarzschild metric which "}
{"subject": "math:arxiv_53338", "predicate": "proves", "object": "it is shown that nodal sequences determine the underlying manifold up to scaling within classes of r"}
{"subject": "math:arxiv_53339", "predicate": "proves", "object": "we investigate a model of large extra dimensions where the internal space has the geometry of a hype"}
{"subject": "math:arxiv_53350", "predicate": "proves", "object": "the minimum path cover problem on directed acyclic graphs ( dags ) is a classical problem that provi"}
{"subject": "math:arxiv_53364", "predicate": "proves", "object": "we prove sum formulas for double polylogarithms of hurwitz type , that is , involving a shifting par"}
{"subject": "math:arxiv_53383", "predicate": "proves", "object": "we explore the form of rogue wave solutions in a select set of case examples of nonlinear schrdinger"}
{"subject": "math:arxiv_53395", "predicate": "proves", "object": "we study the structure of the monopole configuration in @xmath0 non - commutative super yang - mills"}
{"subject": "math:arxiv_53406", "predicate": "proves", "object": "in a recent work conger and howald derived asymptotic formulas for the randomness , after shuffling "}
{"subject": "math:arxiv_53430", "predicate": "proves", "object": "these are lectures presented at the les houches summer school `` topology and geometry in physics ''"}
{"subject": "math:arxiv_53446", "predicate": "proves", "object": "we calculate renormalization group flow equations for the linear @xmath0-model in large @xmath1 appr"}
{"subject": "math:arxiv_53451", "predicate": "proves", "object": "we develop a dca(pqmc ) algorithm which employs the projective quantum monte carlo ( pqmc ) method f"}
{"subject": "math:arxiv_53464", "predicate": "proves", "object": "symplectic geometry of the vortex filament in a curved three - manifold is investigated . \n there ap"}
{"subject": "math:arxiv_53470", "predicate": "proves", "object": "we describe a parametrized yang - baxter equation with nonabelian parameter group . \n that is , we s"}
{"subject": "math:arxiv_53474", "predicate": "proves", "object": "we provide analytical solutions to the thermodynamic bethe ansatz equations in the large and small d"}
{"subject": "math:arxiv_53486", "predicate": "proves", "object": "a general real - space multigrid algorithm for the self - consistent solution of the kohn - sham equ"}
{"subject": "math:arxiv_53489", "predicate": "proves", "object": "this paper provides a reformulation of the scenario - based two - stage unit commitment problem unde"}
{"subject": "math:arxiv_53493", "predicate": "proves", "object": "it is demonstrated how all the mechanical equations of classical electromagnetism ( cem ) may be der"}
{"subject": "math:arxiv_53499", "predicate": "proves", "object": "we study einstein - yang - mills equations in the presence of a gravitating non - topological solito"}
{"subject": "math:arxiv_53501", "predicate": "proves", "object": "it is considered a model of compact riemann surface in genus two , represented geometrically by two "}
{"subject": "math:arxiv_53514", "predicate": "proves", "object": "a new tetrad introduced within the framework of geometrodynamics for non - null electromagnetic fiel"}
{"subject": "math:arxiv_53545", "predicate": "proves", "object": "the local ergodic theorem ( also known as the ` fundamental theorem ' ) gives sufficient conditions "}
{"subject": "math:arxiv_53569", "predicate": "proves", "object": "the framework of leading - order anisotropic hydrodynamics is supplemented with realistic equation o"}
{"subject": "math:arxiv_53586", "predicate": "proves", "object": "the translocation dynamics of a polymer chain through a nanopore in the absence of an external drivi"}
{"subject": "math:arxiv_53587", "predicate": "proves", "object": "in this paper , we use tree partition schemes and an algebraic expression for the virial coefficient"}
{"subject": "math:arxiv_53591", "predicate": "proves", "object": "in this article , we show that , at least for non - simply connected case , there exist an infinite "}
{"subject": "math:arxiv_53592", "predicate": "proves", "object": "social dilemmas are an integral part of social interactions . \n cooperative actions , ranging from s"}
{"subject": "math:arxiv_53603", "predicate": "proves", "object": "asymptotically flat spacetimes with one killing vector field are studied . \n the killing equations a"}
{"subject": "math:arxiv_53612", "predicate": "proves", "object": "local and nonlocal contributions to the total strain rate tensor @xmath0 at any point @xmath1 in a f"}
{"subject": "math:arxiv_53629", "predicate": "proves", "object": "the quasi  equilibrium approximation is employed as a systematic tool for solving the problem of der"}
{"subject": "math:arxiv_53644", "predicate": "proves", "object": "topology in condensed matter physics manifests itself in the emergence of edge or surface states pro"}
{"subject": "math:arxiv_53650", "predicate": "proves", "object": "the stability properties of models of spontaneous mirror symmetry breaking in chemistry are characte"}
{"subject": "math:arxiv_53651", "predicate": "proves", "object": "focusing on the numerical aspects and accuracy we study a class of bulk viscosity driven expansion s"}
{"subject": "math:arxiv_53660", "predicate": "proves", "object": "this paper represents a first step towards settling the issue of the validity of the de jonquires fo"}
{"subject": "math:arxiv_53684", "predicate": "proves", "object": "we present a revision to the well known strmer - verlet algorithm for simulating second order differ"}
{"subject": "math:arxiv_53694", "predicate": "proves", "object": "a new nano  material in the form of a double gyroid has motivated us to study ( non)commutative @xma"}
{"subject": "math:arxiv_53705", "predicate": "proves", "object": "in this paper we study the topology of three different kind of spaces associated to polynomial knots"}
{"subject": "math:arxiv_53708", "predicate": "proves", "object": "in this paper , we determine all unitary solutions to the yang - baxter equation in dimension four ."}
{"subject": "math:arxiv_53725", "predicate": "proves", "object": "this paper proposes a _ decentralized recommender system _ by formulating the popular collaborative "}
{"subject": "math:arxiv_53729", "predicate": "proves", "object": "following the subtraction procedure for manifolds with boundaries , we calculate by variational meth"}
{"subject": "math:arxiv_53732", "predicate": "proves", "object": "we prove that the kernel of the natural action of the modular group on the center of the drinfeld do"}
{"subject": "math:arxiv_53734", "predicate": "proves", "object": "we prove a discrete jordan - brouwer - schoenflies separation theorem telling that a @xmath0-sphere "}
{"subject": "math:arxiv_53741", "predicate": "proves", "object": "we present a new method for the nonlinear approximation of the solution manifolds of parameterized n"}
{"subject": "math:arxiv_53746", "predicate": "proves", "object": "we introduce the computer algebra package pycox , written entirely in the python language . \n it imp"}
{"subject": "math:arxiv_53747", "predicate": "proves", "object": "we address some issues relating to a supersymmetric ( susy ) ward - takahashi ( wt ) identity in sug"}
{"subject": "math:arxiv_53750", "predicate": "proves", "object": "the haldane conjecture , when applied to the heisenberg o(3 ) model with a @xmath0 term in two dimen"}
{"subject": "math:arxiv_53782", "predicate": "proves", "object": "`` stiff '' differential equations are commonplace in engineering and dynamical systems . to solve t"}
{"subject": "math:arxiv_53792", "predicate": "proves", "object": "let @xmath0 be a compact manifold equipped with a pair of complementary foliations , say horizontal "}
{"subject": "math:arxiv_53802", "predicate": "proves", "object": "we propose a nonlinear schrdinger equation in a hilbert space enlarged with an ancilla such that the"}
{"subject": "math:arxiv_53835", "predicate": "proves", "object": "for a closed oriented @xmath0-manifold @xmath1 we define @xmath2 to be the minimal non - negative nu"}
{"subject": "math:arxiv_53843", "predicate": "proves", "object": "we formulate a quantitative description of backscattered linearly polarized light using an extended "}
{"subject": "math:arxiv_53847", "predicate": "proves", "object": "we prove john hubbard s conjecture on the topological complexity of the hyperbolic horseshoe locus o"}
{"subject": "math:arxiv_53848", "predicate": "proves", "object": "we investigate whether compact stars having tolman - like interior geometry admit conformal symmetry"}
{"subject": "math:arxiv_53856", "predicate": "proves", "object": "the faddeev - yakubovsky equations in configuration space have been solved for the four nucleon syst"}
{"subject": "math:arxiv_53863", "predicate": "proves", "object": "the generalized kawahara equation @xmath0 appears in many physical applications . \n a complete class"}
{"subject": "math:arxiv_53873", "predicate": "proves", "object": "in this paper we describe a new method of calculation of master integrals based on the solution of s"}
{"subject": "math:arxiv_53902", "predicate": "proves", "object": "we equip the multi - pullback @xmath0-algebra @xmath1 of a noncommutative - deformation of the 5-sph"}
{"subject": "math:arxiv_53924", "predicate": "proves", "object": "in this paper we develop a class of implicit - explicit runge - kutta schemes for solving the multi "}
{"subject": "math:arxiv_53929", "predicate": "proves", "object": "we study equilibrium sequences of close binary systems on circular orbits and composed of different "}
{"subject": "math:arxiv_53938", "predicate": "proves", "object": "we study the global dynamical behavior of spatially homogeneous solutions of the einstein equations "}
{"subject": "math:arxiv_53940", "predicate": "proves", "object": "based on the general form of entanglement witnesses constructed from separable states , we first sho"}
{"subject": "math:arxiv_53960", "predicate": "proves", "object": "the aim of this paper is to show the existence of @xmath0-bounded solution operator families for two"}
{"subject": "math:arxiv_53967", "predicate": "proves", "object": "we place constraints on the redshift - averaged , effective value of the equation of state of dark e"}
{"subject": "math:arxiv_53970", "predicate": "proves", "object": "the piecewise parabolic method and related schemes are widely used to model stellar flows . \n severa"}
{"subject": "math:arxiv_53974", "predicate": "proves", "object": "in this note , we give an explicit counterexample to the simple loop conjecture for representations "}
{"subject": "math:arxiv_53978", "predicate": "proves", "object": "we present an inverse scattering transform approach to the cauchy problem on the line for the degasp"}
{"subject": "math:arxiv_53980", "predicate": "proves", "object": "the existence of higher order entanglement in the stimulated and spontaneous raman processes is esta"}
{"subject": "math:arxiv_53981", "predicate": "proves", "object": "we address persistence and stability of three - dimensional vortex configurations in the discrete no"}
{"subject": "math:arxiv_54013", "predicate": "proves", "object": "the schrdinger equation in the presence of an external electromagnetic field is an important problem"}
{"subject": "math:arxiv_54035", "predicate": "proves", "object": "the klein - gordon equation for the wave function of a single massive scalar is written in spherical"}
{"subject": "math:arxiv_54053", "predicate": "proves", "object": "we consider a multidimensional model of the universe given as a @xmath0-dimensional geometry , repre"}
{"subject": "math:arxiv_54060", "predicate": "proves", "object": "the solution of a boundary  value problem formulated for the kretschmann configuration shows that th"}
{"subject": "math:arxiv_54070", "predicate": "proves", "object": "in this paper , we provide number - theoretic formulas for farrell  tate cohomology for @xmath0 over"}
{"subject": "math:arxiv_54097", "predicate": "proves", "object": "pohlmeyer reduction of superstring , involving solution of virasoro conditions in terms of coset cur"}
{"subject": "math:arxiv_54102", "predicate": "proves", "object": "for a null - homologous transverse link @xmath0 in a general contact manifold with an open book , we"}
{"subject": "math:arxiv_54115", "predicate": "proves", "object": "we calculate the change in susceptibility resulting from a thin sheet with reduced penetration depth"}
{"subject": "math:arxiv_54117", "predicate": "proves", "object": "we derive the differential equation governing the asymptotic quasi - stationary states of the two di"}
{"subject": "math:arxiv_54122", "predicate": "proves", "object": "we derive an expression of the kinetic entropy current in the nonequilibrium @xmath0 scalar theory f"}
{"subject": "math:arxiv_54127", "predicate": "proves", "object": "in this paper , we model and solve the problem of designing in an optimal way actuators for paraboli"}
{"subject": "math:arxiv_54139", "predicate": "proves", "object": "we consider complete asymptotically flat riemannian manifolds that are the graphs of smooth function"}
{"subject": "math:arxiv_54143", "predicate": "proves", "object": "we study short  time existence , long  time existence , finite speed of propagation , and finite  ti"}
{"subject": "math:arxiv_54146", "predicate": "proves", "object": "we present a compilation of the geometry measures acquired using optical and ir spectroscopy and opt"}
{"subject": "math:arxiv_54147", "predicate": "proves", "object": "a method is presented for calculating the lie point symmetries of a scalar difference equation on a "}
{"subject": "math:arxiv_54155", "predicate": "proves", "object": "this paper examines the question for global regularity for the boussinesq equation with critical fra"}
{"subject": "math:arxiv_54157", "predicate": "proves", "object": "we propose an equation that describes the shape of the driven contact line in dynamics in presence o"}
{"subject": "math:arxiv_54158", "predicate": "proves", "object": "we analyze in detail the analytical solutions of the dirac equation with scalar s and vector v coulo"}
{"subject": "math:arxiv_54173", "predicate": "proves", "object": "we consider static massive thin cylindrical shells ( tubes ) as the sources in einstein s equations "}
{"subject": "math:arxiv_54179", "predicate": "proves", "object": "we calculate static properties of non - rotating neutron stars ( ns s ) using a microscopic equation"}
{"subject": "math:arxiv_54196", "predicate": "proves", "object": "in a relativistic brueckner - hartree - fock calculation we include explicit negative - energy state"}
{"subject": "math:arxiv_54212", "predicate": "proves", "object": "this paper deals with subnormality of toeplitz operators with matrix - valued symbols and , in parti"}
{"subject": "math:arxiv_54214", "predicate": "proves", "object": "we make use of a semiclassical method for calculating the suppression exponent for topology changing"}
{"subject": "math:arxiv_54218", "predicate": "proves", "object": "global synchronization in a complex network of oscillators emerges from the interplay between its to"}
{"subject": "math:arxiv_54222", "predicate": "proves", "object": "the kodaira  thurston @xmath0 manifold is a compact , @xmath1-dimensional nilmanifold which is sympl"}
{"subject": "math:arxiv_54230", "predicate": "proves", "object": "in this paper , we rigorously prove the intuition that in security proofs for bb84 one may regard an"}
{"subject": "math:arxiv_54236", "predicate": "proves", "object": "in this paper , we address the stability of transport systems and wave propagation on networks with "}
{"subject": "math:arxiv_54237", "predicate": "proves", "object": "we introduce the notion of a probabilistic measure which takes values in hyperbolic numbers and whic"}
{"subject": "math:arxiv_54240", "predicate": "proves", "object": "the c - quadrilateral lattice ( cql ) , called also the symmetric lattice , provides geometric inter"}
{"subject": "math:arxiv_54247", "predicate": "proves", "object": "in @xcite , brny , katchalski and pach proved the following quantitative form of helly s theorem . \n"}
{"subject": "math:arxiv_54264", "predicate": "proves", "object": "generalizing the well - known relations on characteristic functions on a plane to the case of a one "}
{"subject": "math:arxiv_54279", "predicate": "proves", "object": "the @xmath0-particle partition function of a one - dimensional @xmath1-function bose gas is calculat"}
{"subject": "math:arxiv_54303", "predicate": "proves", "object": "we revisit our recently proposed formalism for dealing with the heavy quark limit of the quark dyson"}
{"subject": "math:arxiv_54307", "predicate": "proves", "object": "the accuracy of time - domain solutions of the inhomogeneous teukolsky equation is improved signific"}
{"subject": "math:arxiv_54314", "predicate": "proves", "object": "we study the effect of learning dynamics on network topology . \n a network of discrete dynamical sys"}
{"subject": "math:arxiv_54342", "predicate": "proves", "object": "multivalley spin relaxation in @xmath0-type bulk gaas in the presence of high electric field is inve"}
{"subject": "math:arxiv_54350", "predicate": "proves", "object": "we give an elementary proof of low rank cases of the conjecture that the tensor product of two semis"}
{"subject": "math:arxiv_54358", "predicate": "proves", "object": "we study the problem of estimating a manifold from random samples . in particular , we consider piec"}
{"subject": "math:arxiv_54360", "predicate": "proves", "object": "in this talk i present a simple and unified approach to both exact and quasi - exact solvabilities o"}
{"subject": "math:arxiv_54366", "predicate": "proves", "object": "we analyze the ground state of a strongly interacting fermion chain with a supersymmetry . \n we conj"}
{"subject": "math:arxiv_54373", "predicate": "proves", "object": "a well - known conjecture states that the whitney numbers of the second kind of a geometric lattice "}
{"subject": "math:arxiv_54376", "predicate": "proves", "object": "we find exact and asymptotic formulas for the average values of several statistics on set partitions"}
{"subject": "math:arxiv_54389", "predicate": "proves", "object": "the t - systems and y - systems are classes of algebraic relations originally associated with quantu"}
{"subject": "math:arxiv_54399", "predicate": "proves", "object": "we consider solutions to the cauchy problem for the incompressible euler equations satisfying severa"}
{"subject": "math:arxiv_54413", "predicate": "proves", "object": "the formula for the correlation function of spin measurements of two particles in two moving inertia"}
{"subject": "math:arxiv_54418", "predicate": "proves", "object": "in this paper we proposed to use the group of analysis of symmetries of the dynamical system to desc"}
{"subject": "math:arxiv_54451", "predicate": "proves", "object": "the wave functions for two dimensional bloch electrons in a uniform magnetic field at the mid - band"}
{"subject": "math:arxiv_54452", "predicate": "proves", "object": "we show that the equation of motion for a rigid one - dimensional elastic body ( i.e.  a rod or stri"}
{"subject": "math:arxiv_54459", "predicate": "proves", "object": "a unitarized bfkl equation incorporating shadowing and antishadowing corrections of the gluon recomb"}
{"subject": "math:arxiv_54484", "predicate": "proves", "object": "experimental results show that certain message passing algorithms , namely , , are very effective in"}
{"subject": "math:arxiv_54498", "predicate": "proves", "object": "by the biadjoint triangle theorem , given a pseudomonad @xmath0 on a @xmath1-category @xmath2 , if a"}
{"subject": "math:arxiv_54512", "predicate": "proves", "object": "the theory of the electron relaxation in simple metals excited by an ultrashort optical pump is deve"}
{"subject": "math:arxiv_54537", "predicate": "proves", "object": "nonlinear differential equations , coupled second order , integrability , linearization linearizatio"}
{"subject": "math:arxiv_54546", "predicate": "proves", "object": "the aj conjecture relates the a - polynomial and the colored jones polynomial of a knot in the 3-sph"}
{"subject": "math:arxiv_54547", "predicate": "proves", "object": "we show that the dark soliton of the gross - pitaevskii equation ( gpe ) that describes the bose - e"}
{"subject": "math:arxiv_54559", "predicate": "proves", "object": "following work of rieffel  @xcite , in this document we define the cayley compactification of a disc"}
{"subject": "math:arxiv_54565", "predicate": "proves", "object": "we rigorously derive from first principles the generic landau amplitude equation that describes the "}
{"subject": "math:arxiv_54598", "predicate": "proves", "object": "we introduce and develop the hahn symmetric quantum calculus with applications to the calculus of va"}
{"subject": "math:arxiv_54599", "predicate": "proves", "object": "we present detailed geometry and kinematics of the inner outflow toward hl tau observed using near i"}
{"subject": "math:arxiv_54619", "predicate": "proves", "object": "it is shown that the density of the ratio of two random variables with the same variance and joint g"}
{"subject": "math:arxiv_54621", "predicate": "proves", "object": "two evaluation formulas are derived for the jack superpolynomials . \n the evaluation formulas are ex"}
{"subject": "math:arxiv_54654", "predicate": "proves", "object": "we discuss one - dimensional stochastic processes defined through the temperley - lieb algebra relat"}
{"subject": "math:arxiv_54670", "predicate": "proves", "object": "we prove the knneth formula in floer ( co)homology for manifolds with restricted contact type bounda"}
{"subject": "math:arxiv_54681", "predicate": "proves", "object": "we describe convex hulls of the simplest compact space curves , reducible quartics consisting of two"}
{"subject": "math:arxiv_54685", "predicate": "proves", "object": "the _ equations of boussinesq approximation _ ( eba ) for an incompressible and inhomogeneous in den"}
{"subject": "math:arxiv_54687", "predicate": "proves", "object": "a periodic box - ball system ( pbbs ) is obtained by ultradiscretizing the periodic discrete toda eq"}
{"subject": "math:arxiv_54689", "predicate": "proves", "object": "a mode parabolic equation method for resonantly interacted modes was developed . \n the flow of acous"}
{"subject": "math:arxiv_54690", "predicate": "proves", "object": "using multiple bernoulli series , we give a formula in the spirit of euler - maclaurin formula . \n w"}
{"subject": "math:arxiv_54699", "predicate": "proves", "object": "torques on interfaces can be described by a divergence - free tensor which is fully encoded in the g"}
{"subject": "math:arxiv_54717", "predicate": "proves", "object": "answer set programming ( asp ) is a form of declarative programming that allows to succinctly formul"}
{"subject": "math:arxiv_54721", "predicate": "proves", "object": "the hamiltonian @xmath0 specifies the energy levels and the time evolution of a quantum theory . \n i"}
{"subject": "math:arxiv_54740", "predicate": "proves", "object": "based on an equations  of  motion approach for time \n dependent _ pair _ correlations in strongly in"}
{"subject": "math:arxiv_54756", "predicate": "proves", "object": "in this short note , as a simple application of the strong result proved recently by bhm and wilking"}
{"subject": "math:arxiv_54766", "predicate": "proves", "object": "the question what information is necessary for determination of a unique solution of hydrodynamic eq"}
{"subject": "math:arxiv_54776", "predicate": "proves", "object": "the bekenstein - milgrom gravity theory with a modified poisson equation is tested here for the exis"}
{"subject": "math:arxiv_54807", "predicate": "proves", "object": "the pascal rhombus is a variant of pascal s triangle in which each term is a sum of four earlier ter"}
{"subject": "math:arxiv_54810", "predicate": "proves", "object": "in this chapter the physical aspects of the global optimization of the geometry of atomic clusters a"}
{"subject": "math:arxiv_54815", "predicate": "proves", "object": "we prove the following generalised empty pentagon theorem : for every integer @xmath0 , every suffic"}
{"subject": "math:arxiv_54819", "predicate": "proves", "object": "let @xmath0 be the automorphism group of an extension @xmath1 of algebraically closed fields of char"}
{"subject": "math:arxiv_54826", "predicate": "proves", "object": "the general equations of motion for two dimensional singular laplacian growth are derived using the "}
{"subject": "math:arxiv_54862", "predicate": "proves", "object": "the aim of this note is to give a geometric proof for classical local rigidity of lattices in semisi"}
{"subject": "math:arxiv_54873", "predicate": "proves", "object": "zauner s conjecture asserts that @xmath0 equiangular lines exist in all @xmath1 complex dimensions ."}
{"subject": "math:arxiv_54882", "predicate": "proves", "object": "in this paper we show the existence of three dimensional rigid , and thus unfoldable , lattice confo"}
{"subject": "math:arxiv_54884", "predicate": "proves", "object": "we report an incipient exploration of the lense - thirring precession effect in a rotating _ acousti"}
{"subject": "math:arxiv_54894", "predicate": "proves", "object": "we study the stability of new neutral and electrically charged four - dimensional black hole solutio"}
{"subject": "math:arxiv_54915", "predicate": "proves", "object": "_ we present a new identity involving compositions ( i.e. ordered partitions of natural numbers ) \n "}
{"subject": "math:arxiv_54925", "predicate": "proves", "object": "we consider the moduli spaces @xmath0 of a closed linkage with @xmath1 links and prescribed lengths "}
{"subject": "math:arxiv_54926", "predicate": "proves", "object": "we consider the cauchy problem for strictly hyperbolic @xmath0-th order partial differential equatio"}
{"subject": "math:arxiv_54927", "predicate": "proves", "object": "we construct the equation of a state of the classical qgp valid for all values of @xmath0 , the rati"}
{"subject": "math:arxiv_54928", "predicate": "proves", "object": "we investigate the performance of the @xmath0 approximation by comparison to exact results for small"}
{"subject": "math:arxiv_54940", "predicate": "proves", "object": "we investigate the behavior of the light pulse in @xmath0-type cold atomic gases with two counter - "}
{"subject": "math:arxiv_54954", "predicate": "proves", "object": "we calculate the nuclear and neutron matter equations of state from microscopic nuclear forces at di"}
{"subject": "math:arxiv_54996", "predicate": "proves", "object": "we define and study a concept of kodaira dimension for a maximal order @xmath0 in @xmath1 a @xmath2-"}
{"subject": "math:arxiv_55009", "predicate": "proves", "object": "a collective - risk social dilemma implies that personal endowments will be lost if contributions to"}
{"subject": "math:arxiv_55017", "predicate": "proves", "object": "we give a short description of different methods used in cosmology . \n the focus is on major feature"}
{"subject": "math:arxiv_55053", "predicate": "proves", "object": "we consider a formulation of yang - mills theory where the gauge field is valued on a non - associat"}
{"subject": "math:arxiv_55060", "predicate": "proves", "object": "a straightforward 3-point quadrature formula of closed type is derived that improves on simpson s ru"}
{"subject": "math:arxiv_55061", "predicate": "proves", "object": "we study the evolution of tensor metric fluctuations in a class of non - singular models based on th"}
{"subject": "math:arxiv_55070", "predicate": "proves", "object": "we find numerical solutions of the coupled system of einstein - maxwell s equations with a linear ap"}
{"subject": "math:arxiv_55077", "predicate": "proves", "object": "we present an exact procedure that allows one to calculate the scattering length for any potential e"}
{"subject": "math:arxiv_55079", "predicate": "proves", "object": "we present a finite element method for the stokes equations involving two immiscible incompressible "}
{"subject": "math:arxiv_55118", "predicate": "proves", "object": "the general relativistic effects on spin - flavor oscillations above the core of type ii supernovae "}
{"subject": "math:arxiv_55130", "predicate": "proves", "object": "a survey of pairing properties of nucleonic matter is presented that includes the off - shell propag"}
{"subject": "math:arxiv_55144", "predicate": "proves", "object": "we illustrate the stochastic method for solving the schwinger - dyson equations in large-@xmath0 qua"}
{"subject": "math:arxiv_55145", "predicate": "proves", "object": "in the light of the `` no - hair '' conjecture , we revisit stable black holes in @xmath0 einstein -"}
{"subject": "math:arxiv_55189", "predicate": "proves", "object": "recent work on analytical solutions to the msw equations for three neutrino flavours is reviewed , w"}
{"subject": "math:arxiv_55192", "predicate": "proves", "object": "novel classes of dynamical systems are introduced , including many - body problems characterized by "}
{"subject": "math:arxiv_55197", "predicate": "proves", "object": "a difficult problem in clustering is how to handle data with a manifold structure , i.e. data that i"}
{"subject": "math:arxiv_55204", "predicate": "proves", "object": "we formulate an irreversible markov chain monte carlo algorithm for the self - avoiding walk ( saw )"}
{"subject": "math:arxiv_55210", "predicate": "proves", "object": "the works of william rowan hamilton in geometrical optics are presented , with emphasis on the malus"}
{"subject": "math:arxiv_55230", "predicate": "proves", "object": "given a complex manifold @xmath0 , a normal crossing divisor @xmath1 whose irreducible components @x"}
{"subject": "math:arxiv_55266", "predicate": "proves", "object": "in this note , we prove that every open primary basic semialgebraic set is stably equivalent to the "}
{"subject": "math:arxiv_55315", "predicate": "proves", "object": "we extend the combinatorial morse complex construction to the arbitrary free chain complexes , and g"}
{"subject": "math:arxiv_55316", "predicate": "proves", "object": "i review recent developments in the application of effective field theory to nuclear physics . \n emp"}
{"subject": "math:arxiv_55322", "predicate": "proves", "object": "the effects of radiation reaction force on laser driven auto - resonant particle acceleration scheme"}
{"subject": "math:arxiv_55330", "predicate": "proves", "object": "the born - infeld determinantal gravity has been recently proposed as a way to smooth the big bang s"}
{"subject": "math:arxiv_55349", "predicate": "proves", "object": "lyapunov s second theorem is an essential tool for stability analysis of differential equations . \n "}
{"subject": "math:arxiv_55359", "predicate": "proves", "object": "given a formula in quantifier - free presburger arithmetic , if it has a satisfying solution , there"}
{"subject": "math:arxiv_55365", "predicate": "proves", "object": "in this paper , we study the quenched central limit theorem for the discrete fourier transform . \n w"}
{"subject": "math:arxiv_55379", "predicate": "proves", "object": "understanding the equation of state ( eos ) of neutron - rich matter is a central goal of nuclear ph"}
{"subject": "math:arxiv_55381", "predicate": "proves", "object": "the question of how the scattering cross section changes when the spectra of the colliding nuclei ha"}
{"subject": "math:arxiv_55392", "predicate": "proves", "object": "the existence and localization of collective electron states for nanodiamond particles were studied "}
{"subject": "math:arxiv_55398", "predicate": "proves", "object": "let @xmath0 be a smooth embedding from a connected , oriented , closed @xmath1-dimesional smooth man"}
{"subject": "math:arxiv_55400", "predicate": "proves", "object": "this is a brief review of several algebraic constructions related to generalized fermionic spectra ,"}
{"subject": "math:arxiv_55435", "predicate": "proves", "object": "gauge transformations leave unchanged only specific maxwell fields . to reveal more , \n i develop lo"}
{"subject": "math:arxiv_55454", "predicate": "proves", "object": "existence of large - amplitude time - periodic breathers localized near a single site is proved for "}
{"subject": "math:arxiv_55472", "predicate": "proves", "object": "in this paper , we study a realistic model of quintessential inflation with radiation and matter . b"}
{"subject": "math:arxiv_55500", "predicate": "proves", "object": "we investigate methods for network association that improve the reliability of uplink transmissions "}
{"subject": "math:arxiv_55507", "predicate": "proves", "object": "we study tropical commuting matrices from two viewpoints : linear algebra and algebraic geometry . i"}
{"subject": "math:arxiv_55573", "predicate": "proves", "object": "we consider a heegaard splitting @xmath0 of a @xmath1-manifold @xmath2 having an essential disk @xma"}
{"subject": "math:arxiv_55578", "predicate": "proves", "object": "we present a framework for computing averages of various observables of macdonald processes . \n this"}
{"subject": "math:arxiv_55617", "predicate": "proves", "object": "in this work we consider a simple random walk embedded in a generic branched structure and we find a"}
{"subject": "math:arxiv_55630", "predicate": "proves", "object": "models of covariant linear electromagnetic constitutive relations are formulated that have wide appl"}
{"subject": "math:arxiv_55645", "predicate": "proves", "object": "it is shown that a bosonic formulation of the double - exchange model , one of the classical models "}
{"subject": "math:arxiv_55651", "predicate": "proves", "object": "we consider the problem of globally minimizing the sum of many rational functions over a given compa"}
{"subject": "math:arxiv_55658", "predicate": "proves", "object": "we present various examples in toric geometry concerning the relationship between smooth toric varie"}
{"subject": "math:arxiv_55676", "predicate": "proves", "object": "rosso and green have shown how to embed the positive part @xmath0 of a quantum enveloping algebra @x"}
{"subject": "math:arxiv_55686", "predicate": "proves", "object": "we discuss the impact of including corrections beyond single gluon exchange in light mesons within t"}
{"subject": "math:arxiv_55715", "predicate": "proves", "object": "this is the second in a series of papers intended to provide a basic overview of some of the major i"}
{"subject": "math:arxiv_55716", "predicate": "proves", "object": "we discuss a cluster - like 1d system with triplet interaction . \n we study the topological properti"}
{"subject": "math:arxiv_55718", "predicate": "proves", "object": "when the time dependent hartree - fock - bogoliubov intrinsic equations of motion are solved in the "}
{"subject": "math:arxiv_55721", "predicate": "proves", "object": "although researchers have devoted considerable attention to helping database users formulate queries"}
{"subject": "math:arxiv_55724", "predicate": "proves", "object": "for hawking radiation , treated as a tunneling process , the no - hair theorem of black hole togethe"}
{"subject": "math:arxiv_55745", "predicate": "proves", "object": "we prove the generalized ramsey - type result on large @xmath0-coloured matchings in a @xmath1-colou"}
{"subject": "math:arxiv_55775", "predicate": "proves", "object": "we give simple explicit formulas for deformation quantization of poisson - lie groups and of similar"}
{"subject": "math:arxiv_55777", "predicate": "proves", "object": "given a completely positive ( cp ) map @xmath0 , there is a theorem of the radon - nikodym type [ w."}
{"subject": "math:arxiv_55802", "predicate": "proves", "object": "we give a general procedure to construct algebro - geometric feynman rules , that is , characters of"}
{"subject": "math:arxiv_55820", "predicate": "proves", "object": "semileptonic heavy @xmath0 heavy and heavy @xmath0 light meson transitions are studied as a phenomen"}
{"subject": "math:arxiv_55826", "predicate": "proves", "object": "several versions of the gravitational time dilation effect of general relativity are formulated by t"}
{"subject": "math:arxiv_55839", "predicate": "proves", "object": "there are only three stable singularities of a differentiable map between three - dimensional manifo"}
{"subject": "math:arxiv_55853", "predicate": "proves", "object": "previous studies have shown that fractal scatterings in weak interactions of solitary waves in the g"}
{"subject": "math:arxiv_55861", "predicate": "proves", "object": "the classical problem of spherical homologous gravitational collapse with a polytropic equation of s"}
{"subject": "math:arxiv_55872", "predicate": "proves", "object": "a non - commutative deformation of quadric surface is usually taken to be a three - dimensional cubi"}
{"subject": "math:arxiv_55876", "predicate": "proves", "object": "in the present paper , we solve three boundary value problems related to the temperature field in oi"}
{"subject": "math:arxiv_55878", "predicate": "proves", "object": "under general conditions , the equation @xmath0 implicitly defines @xmath1 locally as a function of "}
{"subject": "math:arxiv_55880", "predicate": "proves", "object": "there are various cosmological models with polytropic equation of state associated to dark energy . "}
{"subject": "math:arxiv_55884", "predicate": "proves", "object": "we point to the connection between a recently introduced class of non - markovian master equations a"}
{"subject": "math:arxiv_55887", "predicate": "proves", "object": "we present models of the 1.4 ghz to 350 ghz spectral index , @xmath0 , for starburst galaxies as a f"}
{"subject": "math:arxiv_55908", "predicate": "proves", "object": "in this paper , we provide a complete plancherel - rotach asymptotic analysis of polynomials that sa"}
{"subject": "math:arxiv_55914", "predicate": "proves", "object": "i present applications of a master formula for next - to - next - to - leading order soft and virtua"}
{"subject": "math:arxiv_55936", "predicate": "proves", "object": "we construct a seifert surface for a given null - homologous transverse link in a contact manifold t"}
{"subject": "math:arxiv_55939", "predicate": "proves", "object": "path integral techniques for the pricing of financial options are mostly based on models that can be"}
{"subject": "math:arxiv_55974", "predicate": "proves", "object": "we consider a rotator whose equation of motion for the angle @xmath0 consists of the zeroth and firs"}
{"subject": "math:arxiv_55992", "predicate": "proves", "object": "rediscovered by a systematic search , a forgotten class of integrable surfaces is shown to disprove "}
{"subject": "math:arxiv_56007", "predicate": "proves", "object": "we study the higher - order heat - type equation with first time and @xmath0-th spatial partial deri"}
{"subject": "math:arxiv_56017", "predicate": "proves", "object": "in @xmath0 simulation of quantum turbulence within the gross - pitaevskii equation we demonstrate th"}
{"subject": "math:arxiv_56044", "predicate": "proves", "object": "using a fully - fledged formulation of gauge field theory deformed by the spacetime noncommutativity"}
{"subject": "math:arxiv_56047", "predicate": "proves", "object": "we give a probabilistic representation of a one - dimensional diffusion equation where the solution "}
{"subject": "math:arxiv_56056", "predicate": "proves", "object": "the friedmann - robertson - walker metric with spherical topology is calculated as an effective metr"}
{"subject": "math:arxiv_56062", "predicate": "proves", "object": "transfer entropy has been used to quantify the directed flow of information between source and targe"}
{"subject": "math:arxiv_56065", "predicate": "proves", "object": "we consider the superposition of infinitely many instantons on a circle in @xmath0 . \n the construct"}
{"subject": "math:arxiv_56080", "predicate": "proves", "object": "we present the numerical dispersion effects in solving the convected helmholtz equation by the confo"}
{"subject": "math:arxiv_56084", "predicate": "proves", "object": "we study the ground state properties of a spin-3 cr condensate subject to an external magnetic field"}
{"subject": "math:arxiv_56091", "predicate": "proves", "object": "we derive and analyse , analytically and numerically , the equations for perturbations around the pu"}
{"subject": "math:arxiv_56102", "predicate": "proves", "object": "we present a class of new relativistic solutions with anisotropic fluid for compact stars in hydrost"}
{"subject": "math:arxiv_56105", "predicate": "proves", "object": "we develop a new formulation of the functional renormalization group ( rg ) for interacting fermions"}
{"subject": "math:arxiv_56110", "predicate": "proves", "object": "we prove the uniqueness of the infinite length axisymmetric solution to the capillary equation . \n w"}
{"subject": "math:arxiv_56118", "predicate": "proves", "object": "in low dimensional topology , we have some invariants defined by using solutions of some nonlinear e"}
{"subject": "math:arxiv_56121", "predicate": "proves", "object": "we give a new proof that a star @xmath0 in a normed plane is a steiner minimal tree of its vertices "}
{"subject": "math:arxiv_56138", "predicate": "proves", "object": "we describe a simple algorithm that calculates the distributions of electrons and positrons under mu"}
{"subject": "math:arxiv_56147", "predicate": "proves", "object": "for any irrational cut - and - project setup , we demonstrate a natural infinite family of windows w"}
{"subject": "math:arxiv_56159", "predicate": "proves", "object": "we propose a new approach for modeling the quantum ring single particle energy spectrum . \n the appr"}
{"subject": "math:arxiv_56163", "predicate": "proves", "object": "it is shown that the generalized geometries may be obtained as a deformation of the proper euclidean"}
{"subject": "math:arxiv_56167", "predicate": "proves", "object": "the precessional magnetization dynamics of gamnas thin films are characterized by broadband network "}
{"subject": "math:arxiv_56174", "predicate": "proves", "object": "the diffusive dynamics of a particle in a medium with space - dependent friction coefficient is stud"}
{"subject": "math:arxiv_56192", "predicate": "proves", "object": "spectrum generating algebras are used in various fields of physics as models to determine quantum st"}
{"subject": "math:arxiv_56210", "predicate": "proves", "object": "the theory of bose - einstein condensation in a two - dimensional(2d ) harmonic trap is developed fr"}
{"subject": "math:arxiv_56224", "predicate": "proves", "object": "we consider an infinite - sized population where an infinite number of traits compete simultaneously"}
{"subject": "math:arxiv_56231", "predicate": "proves", "object": "we consider team semantics for propositional logic , continuing @xcite . in team semantics the truth"}
{"subject": "math:arxiv_56234", "predicate": "proves", "object": "we study the quantization of geometry in the presence of a cosmological constant , using a discretiz"}
{"subject": "math:arxiv_56253", "predicate": "proves", "object": "eynard s formulation of hermitean 1-matrix models in terms of intrinsic quantities of an associated "}
{"subject": "math:arxiv_56255", "predicate": "proves", "object": "we construct a general state which is an eigenvector of the annihilation operator of the generalized"}
{"subject": "math:arxiv_56263", "predicate": "proves", "object": "we study the behaviour of sequences of blowing - ups under ramifications , and use the results to gi"}
{"subject": "math:arxiv_56267", "predicate": "proves", "object": "suppose @xmath0 is a connected pl 2-manifold and @xmath1 is a compact connected subpolyhedron of @xm"}
{"subject": "math:arxiv_56270", "predicate": "proves", "object": "we formulate the general form of @xmath0-@xmath1-@xmath2 vertex in the framework based on the hidden"}
{"subject": "math:arxiv_56275", "predicate": "proves", "object": "many combinatorial problems can be formulated as `` can i transform configuration  1 into configurat"}
{"subject": "math:arxiv_56276", "predicate": "proves", "object": "the most general case of self - induced neutrino flavor evolution is described by a set of kinetic e"}
{"subject": "math:arxiv_56282", "predicate": "proves", "object": "rate equation models are extensively used to describe the many - body states of laser driven atomic "}
{"subject": "math:arxiv_56283", "predicate": "proves", "object": "it has been a long - standing question whether momentum space integral equations of the faddeev type"}
{"subject": "math:arxiv_56294", "predicate": "proves", "object": "half - metallic ferromagnets like the full heusler compounds with formula x@xmath0yz are supposed to"}
{"subject": "math:arxiv_56303", "predicate": "proves", "object": "the whitham equation was proposed as an alternate model equation for the simplified description of u"}
{"subject": "math:arxiv_56335", "predicate": "proves", "object": "we study the dynamics of a spin facilitated ising model with long range kinetic constraints . to for"}
{"subject": "math:arxiv_56355", "predicate": "proves", "object": "using tomographic - probability representation of spin states , quantum behavior of qudits is examin"}
{"subject": "math:arxiv_56372", "predicate": "proves", "object": "error propagation formulae are derived for the expectation - maximization iterative unfolding algori"}
{"subject": "math:arxiv_56375", "predicate": "proves", "object": "the possible existence of intermediate mass binary black holes ( imbbhs ) in globular clusters ( gcs"}
{"subject": "math:arxiv_56376", "predicate": "proves", "object": "causal diamond - shaped subsets of space - time are naturally associated with operator algebras in q"}
{"subject": "math:arxiv_56382", "predicate": "proves", "object": "we discuss singularities in the spectrum of driven many - body spin systems . \n in contrast to undri"}
{"subject": "math:arxiv_56391", "predicate": "proves", "object": "extending our earlier results , we prove that certain tight contact structures on circle bundles ove"}
{"subject": "math:arxiv_56421", "predicate": "proves", "object": "turbulence modeling is a critical component in numerical simulations of industrial flows based on re"}
{"subject": "math:arxiv_56431", "predicate": "proves", "object": "we introduce exact analytical solutions of the steady - state hydrodynamic equations of scale - free"}
{"subject": "math:arxiv_56447", "predicate": "proves", "object": "for any @xmath0 , we present an algorithm which takes as input a semi - algebraic set , @xmath1 , de"}
{"subject": "math:arxiv_56450", "predicate": "proves", "object": "in this paper we describe the asymptotic behavior , in the exponential time scale , of solutions to "}
{"subject": "math:arxiv_56457", "predicate": "proves", "object": "complexity one spaces are an important class of examples in symplectic geometry . karshon and tolman"}
{"subject": "math:arxiv_56474", "predicate": "proves", "object": "we show that the craighero \n gattazzo surface , the minimal resolution of an explicit complex quinti"}
{"subject": "math:arxiv_56497", "predicate": "proves", "object": "a model hamiltonian is introduced which considers the main features of the experimental spin filter "}
{"subject": "math:arxiv_56501", "predicate": "proves", "object": "in this article , we study the unconditional uniqueness of @xmath0 , @xmath1 , solutions for the non"}
{"subject": "math:arxiv_56502", "predicate": "proves", "object": "in the present article , we discover a new well - behaved charged anisotropic solution of einstein -"}
{"subject": "math:arxiv_56511", "predicate": "proves", "object": "thermalization in an expanding parton plasma is studied within the framework of boltzmann equation i"}
{"subject": "math:arxiv_56512", "predicate": "proves", "object": "we study one - dimensional wave equations defined by a class of fractal laplacians . \n these laplaci"}
{"subject": "math:arxiv_56522", "predicate": "proves", "object": "we provide a phenomenological formula which describes the low - frequency optical absorption of char"}
{"subject": "math:arxiv_56525", "predicate": "proves", "object": "in this paper we present a generalized analytical solution to the generalized state equations of cou"}
{"subject": "math:arxiv_56546", "predicate": "proves", "object": "in this work we propose and study a realization of an artificial spin ice - like system in a triangu"}
{"subject": "math:arxiv_56571", "predicate": "proves", "object": "based on accurate lennard - jones type interaction potentials , we derive a closed set of state equa"}
{"subject": "math:arxiv_56576", "predicate": "proves", "object": "we classify link diagrams with turaev genus one and two in terms of an alternating tangle structure "}
{"subject": "math:arxiv_56585", "predicate": "proves", "object": "we present version 8 of the feynman - diagram calculator formcalc . \n new features include in partic"}
{"subject": "math:arxiv_56590", "predicate": "proves", "object": "for @xmath0 , we study a certain sequence @xmath1 of n - dimensional representations of the mapping "}
{"subject": "math:arxiv_56601", "predicate": "proves", "object": "we investigate a system of dense polyelectrolytes in solution . \n the langevin dynamics of the syste"}
{"subject": "math:arxiv_56613", "predicate": "proves", "object": "stochastic evolution of chemical reactions networks ( crns ) over time is usually analysed through s"}
{"subject": "math:arxiv_56621", "predicate": "proves", "object": "assuming the space dimension is not constant , but varies with the expansion of the universe , a lag"}
{"subject": "math:arxiv_56623", "predicate": "proves", "object": "this expository paper discusses some conjectures related to visibility and blockers for sets of poin"}
{"subject": "math:arxiv_56642", "predicate": "proves", "object": "a generalized landauer formula , derived with the methods due to keldysh , and baym and kadanoff , i"}
{"subject": "math:arxiv_56664", "predicate": "proves", "object": "we investigate the ultradiscrete kdv equation with periodic boundary conditions where the two parame"}
{"subject": "math:arxiv_56700", "predicate": "proves", "object": "we present a proof of the existence of a periodic orbit for the newtonian six - body problem with eq"}
{"subject": "math:arxiv_56710", "predicate": "proves", "object": "an effective self - consistent model is derived and used to study the dynamics of an electron gas co"}
{"subject": "math:arxiv_56712", "predicate": "proves", "object": "in this paper , we analyze finite difference schemes for benjamin  ono equation , @xmath0 , where @x"}
{"subject": "math:arxiv_56716", "predicate": "proves", "object": "strategies incorporating direct reciprocity , e.g. , tit - for - tat and pavlov , have been shown to"}
{"subject": "math:arxiv_56718", "predicate": "proves", "object": "construction c ( also known as forney s multi - level code formula ) forms a euclidean code for the "}
{"subject": "math:arxiv_56722", "predicate": "proves", "object": "we study the spectral properties of a low angular momentum flow as a function of the shock strength "}
{"subject": "math:arxiv_56736", "predicate": "proves", "object": "in this note we explicitly solve the lindblad equation for a system of three spins with a three - bo"}
{"subject": "math:arxiv_56755", "predicate": "proves", "object": "we derive the thermodynamic bethe ansatz equation for the situation in which the statistical interac"}
{"subject": "math:arxiv_56766", "predicate": "proves", "object": "we study the non - linear schrdinger equation in @xmath0 dimensions in which the nonlinear term is t"}
{"subject": "math:arxiv_56800", "predicate": "proves", "object": "we present a theoretical foundation for the index theorem in naive and minimally doubled lattice fer"}
{"subject": "math:arxiv_56806", "predicate": "proves", "object": "ring theory is one of the branches of the abstract algebra that has been broadly used in images . \n "}
{"subject": "math:arxiv_56814", "predicate": "proves", "object": "rotating magnetized white dwarfs are studied within the framework of general relativity using hartle"}
{"subject": "math:arxiv_56830", "predicate": "proves", "object": "we show that the abel - jacobi image of a tropical curve @xmath0 in its jacobian @xmath1 is not alge"}
{"subject": "math:arxiv_56840", "predicate": "proves", "object": "we numerically investigate quantum rings in graphene and find that their electronic properties may b"}
{"subject": "math:arxiv_56851", "predicate": "proves", "object": "this paper is a survey of some recent progress on the study of calabi s extremal khler metrics . \n w"}
{"subject": "math:arxiv_56863", "predicate": "proves", "object": "excitable media can develop spiral chaos , in which the number of spirals changes chaotically with t"}
{"subject": "math:arxiv_56875", "predicate": "proves", "object": "networks are widely used in the biological , physical , and social sciences as a concise mathematica"}
{"subject": "math:arxiv_56878", "predicate": "proves", "object": "for theories formulated with a maximally symmetric momentum space we propose a general characterizat"}
{"subject": "math:arxiv_56879", "predicate": "proves", "object": "in this paper , we propose a new self - triggered formulation of model predictive control for contin"}
{"subject": "math:arxiv_56883", "predicate": "proves", "object": "in ads space the black hole horizon can be a hypersurface with a positive , zero or negative constan"}
{"subject": "math:arxiv_56912", "predicate": "proves", "object": "a formulation of the linear @xmath0 model with derivative interactions is studied . \n the theory is "}
{"subject": "math:arxiv_56917", "predicate": "proves", "object": "unstable four - boson states having an approximate dimer - atom - atom structure are studied using m"}
{"subject": "math:arxiv_56933", "predicate": "proves", "object": "we test the validity of isaacson s formula which states that high frequency and low amplitude gravit"}
{"subject": "math:arxiv_56943", "predicate": "proves", "object": "the formalism of two coupled dirac equations within constraint instant form dynamics is used to stud"}
{"subject": "math:arxiv_56958", "predicate": "proves", "object": "we present here a formulation for the calculation of the configuration - averaged optical conductivi"}
{"subject": "math:arxiv_56961", "predicate": "proves", "object": "in recent years , the use of information principles to understand quantum correlations has been very"}
{"subject": "math:arxiv_56964", "predicate": "proves", "object": "we consider the existence of invariant manifolds in phase space governing reaction dynamics in situa"}
{"subject": "math:arxiv_56978", "predicate": "proves", "object": "we establish a logarithmic stability estimate for the problem of detecting corrosion by a single ele"}
{"subject": "math:arxiv_56997", "predicate": "proves", "object": "in this paper we prove that the asymptotic dimension of a finite - dimensional cat(0 ) cube complex "}
{"subject": "math:arxiv_57016", "predicate": "proves", "object": "we study a noncanonical hilbert space representation of the polymer quantum mechanics . it is shown "}
{"subject": "math:arxiv_57040", "predicate": "proves", "object": "we discuss the problem of an effective descriptions of the phase transition phenomena in the pure gl"}
{"subject": "math:arxiv_57057", "predicate": "proves", "object": "an analytical description of the interface motion of a collapsing nanometer - sized spherical cavity"}
{"subject": "math:arxiv_57067", "predicate": "proves", "object": "intraband and interband contributions to the current - driven spin - orbit torque in magnetic materi"}
{"subject": "math:arxiv_57083", "predicate": "proves", "object": "the first two authors have recently defined rabinowitz - floer homology groups @xmath0 associated to"}
{"subject": "math:arxiv_57102", "predicate": "proves", "object": "we introduce a slave - fermion formulation in which to study the charge dynamics of the half - fille"}
{"subject": "math:arxiv_57146", "predicate": "proves", "object": "we consider an embedding of a @xmath0-dimensional cw complex into the @xmath1-sphere , and construct"}
{"subject": "math:arxiv_57159", "predicate": "proves", "object": "the hydrodynamics of superfluid turbulence ( hst ) describes the flows ( or counterflows ) of heii i"}
{"subject": "math:arxiv_57161", "predicate": "proves", "object": "a new general @xmath0-network reliability factorization theorem is proved . beside its theoretical m"}
{"subject": "math:arxiv_57187", "predicate": "proves", "object": "we discuss an alternative formulation of the problem of quantum optical fields in a curved space - t"}
{"subject": "math:arxiv_57205", "predicate": "proves", "object": "we obtain upper bounds for the isoperimetric quotients of extrinsic balls of submanifolds in ambient"}
{"subject": "math:arxiv_57212", "predicate": "proves", "object": "the information - theoretic approach to bell s theorem is developed with use of the conditional @xma"}
{"subject": "math:arxiv_57221", "predicate": "proves", "object": "in electronic structure theory , the availability of analytical derivative is one of the desired fea"}
{"subject": "math:arxiv_57225", "predicate": "proves", "object": "we consider a modification of the three - dimensional navier  stokes equations and other hydrodynami"}
{"subject": "math:arxiv_57232", "predicate": "proves", "object": "multi - wavelength observations of galactic black hole transients during outburst decay are instrume"}
{"subject": "math:arxiv_57245", "predicate": "proves", "object": "we address a major flaw in the abovementioned paper , which proposes to calculate effective capacity"}
{"subject": "math:arxiv_57256", "predicate": "proves", "object": "the shape equation and linking conditions for a vesicle with two - phase domains are derived . witho"}
{"subject": "math:arxiv_57262", "predicate": "proves", "object": "it is known that solutions of richardson equations can be represented as stationary points of the ``"}
{"subject": "math:arxiv_57267", "predicate": "proves", "object": "using a hydrodynamical model we study how the order of phase transition in the equation of state of "}
{"subject": "math:arxiv_57269", "predicate": "proves", "object": "we formulate a method for studying the quantum field dynamics of ultracold bose gases confined withi"}
{"subject": "math:arxiv_57286", "predicate": "proves", "object": "the 2-loop polynomial is a polynomial presenting the 2-loop part of the kontsevich invariant of knot"}
{"subject": "math:arxiv_57353", "predicate": "proves", "object": "magnetic flux rope ( mfr ) plays an important role in solar activities . \n a quantitative assessment"}
{"subject": "math:arxiv_57358", "predicate": "proves", "object": "the validity of the haldane s conjecture entails that the mass gap of the 2dimensional o(3 ) non  li"}
{"subject": "math:arxiv_57371", "predicate": "proves", "object": "the existence of a global time is often taken for granted but should instead be considered as a matt"}
{"subject": "math:arxiv_57372", "predicate": "proves", "object": "the cubic complex ginzburg - landau equation ( cgle ) has a one parameter family of traveling locali"}
{"subject": "math:arxiv_57377", "predicate": "proves", "object": "the influence of the nuclear symmetry energy on the formation of a  mixed quark - nucleon phase in n"}
{"subject": "math:arxiv_57390", "predicate": "proves", "object": "we compare two techniques for simulation of ultra high energy cosmic rays ( uhecr ) propagation , th"}
{"subject": "math:arxiv_57399", "predicate": "proves", "object": "for analytic functions @xmath0 in the open unit disk @xmath1 with @xmath2 , nunokwa has given a resu"}
{"subject": "math:arxiv_57406", "predicate": "proves", "object": "real collective density variables @xmath0 [ c.f . \n eq.[equation3 ] ) ] in many - particle systems a"}
{"subject": "math:arxiv_57447", "predicate": "proves", "object": "we consider the motion of rigid bodies in a potential fluid subject to certain nonholonomic constrai"}
{"subject": "math:arxiv_57470", "predicate": "proves", "object": "based on two dissipative models , universal asymptotic behavior of flow equations for hamiltonians i"}
{"subject": "math:arxiv_57484", "predicate": "proves", "object": "in this paper we consider the numerical solution of fractional differential equations by means of @x"}
{"subject": "math:arxiv_57504", "predicate": "proves", "object": "we develop a dynamical systems theory for the compressible navier - stokes equations based on global"}
{"subject": "math:arxiv_57505", "predicate": "proves", "object": "if the vacuum manifold of a field theory has the appropriate topological structure , the theory admi"}
{"subject": "math:arxiv_57528", "predicate": "proves", "object": "in this essay we propose that the theory of gravity s vacuum is described by a de sitter geometry . "}
{"subject": "math:arxiv_57542", "predicate": "proves", "object": "we present a nonlinear predator  prey system consisting of a nonlocal conservation law for predators"}
{"subject": "math:arxiv_57551", "predicate": "proves", "object": "we describe a newly formulated approach to account for charm production and decay in statistical had"}
{"subject": "math:arxiv_57557", "predicate": "proves", "object": "we study the spatiotemporally chaotic dynamics of holes and defects in the 1d complex ginzburg  land"}
{"subject": "math:arxiv_57558", "predicate": "proves", "object": "in this paper we consider the equations of the unsteady viscous , incompressible , and heat conducti"}
{"subject": "math:arxiv_57560", "predicate": "proves", "object": "the geometry of electronic bands in a solid can drastically alter single - particle charge and spin "}
{"subject": "math:arxiv_57567", "predicate": "proves", "object": "we analyze @xmath0 dependence of the drell - yan transverse momentum broadening in hadron - nucleus "}
{"subject": "math:arxiv_57569", "predicate": "proves", "object": "we prove that for a set of communicating agents to compute the average of their initial positions ( "}
{"subject": "math:arxiv_57570", "predicate": "proves", "object": "we formulate a convergent sequence for the energy gap estimation in the worldline quantum monte carl"}
{"subject": "math:arxiv_57580", "predicate": "proves", "object": "we reformulate the adiabatic inflow - outflow ( adios ) model for radiatively inefficient accretion "}
{"subject": "math:arxiv_57623", "predicate": "proves", "object": "in this article , we introduce a recurrence formula which only involves two adjacent values of the r"}
{"subject": "math:arxiv_57637", "predicate": "proves", "object": "on logarithmic paper some real algebraic curves look like smoothed broken lines . \n moreover , the b"}
{"subject": "math:arxiv_57665", "predicate": "proves", "object": "absolute two - photon detachment cross sections and photoelectron angular distribution are calculate"}
{"subject": "math:arxiv_57668", "predicate": "proves", "object": "strange particle production in a+a interactions at 158 _ _ \n a__gev is studied by the cern experimen"}
{"subject": "math:arxiv_57678", "predicate": "proves", "object": "a general real - time formalism is developed to resum the self - energy operator of broken symmetry "}
{"subject": "math:arxiv_57680", "predicate": "proves", "object": "we use the self consisten generalized langevin equation theory ( scgle ) to study the dynamic arrest"}
{"subject": "math:arxiv_57688", "predicate": "proves", "object": "following and developing ideas of r. karasev ( covering dimension using toric varieties , arxiv:1307"}
{"subject": "math:arxiv_57694", "predicate": "proves", "object": "let @xmath0 be a homeomorphism between hyperbolic surfaces with finite topology . \n if @xmath1 is ho"}
{"subject": "math:arxiv_57699", "predicate": "proves", "object": "a numerical explicit method to evaluates transient solutions of linear partial differential inhomoge"}
{"subject": "math:arxiv_57700", "predicate": "proves", "object": "we study transverse - momentum - dependent ( tmd ) gluon distributions and factorization theorems fo"}
{"subject": "math:arxiv_57703", "predicate": "proves", "object": "this study investigates a powerful model , targeted to subjective assessments , based on pairwise co"}
{"subject": "math:arxiv_57725", "predicate": "proves", "object": "we demonstrate behaviour of the momentum space screened coulomb t - matrix , obtained by a numerical"}
{"subject": "math:arxiv_57726", "predicate": "proves", "object": "in this paper , we construct an auxiliary space multigrid preconditioner for the weak galerkin metho"}
{"subject": "math:arxiv_57735", "predicate": "proves", "object": "we consider a nonlinear variational wave equation that models the dynamics of nematic liquid crystal"}
{"subject": "math:arxiv_57743", "predicate": "proves", "object": "we investigate the raman spectra in the geometry where both incident and scattered photon polarizati"}
{"subject": "math:arxiv_57744", "predicate": "proves", "object": "given any finite graph @xmath0 , we offer a simple realization of the graph - associahedron @xmath1 "}
{"subject": "math:arxiv_57764", "predicate": "proves", "object": "the central force problem is considered in a three dimensional space in which the poisson bracket am"}
{"subject": "math:arxiv_57765", "predicate": "proves", "object": "we show that wronskians between properly chosen linearly independent solutions of the schrdinger equ"}
{"subject": "math:arxiv_57787", "predicate": "proves", "object": "a state sum construction on closed manifolds  la kuperberg can be used to construct the partition fu"}
{"subject": "math:arxiv_57790", "predicate": "proves", "object": "a geometric understanding of entanglement is proposed based on local measurements . taking recourse "}
{"subject": "math:arxiv_57816", "predicate": "proves", "object": "the physics of strongly correlated quantum particles within a flat band was originally explored as a"}
{"subject": "math:arxiv_57841", "predicate": "proves", "object": "despite our present - day inability to predict the topology of the universe one may expect that we s"}
{"subject": "math:arxiv_57863", "predicate": "proves", "object": "the coherent tunneling spin current in the bilayer system with spin - orbit coupling is investigated"}
{"subject": "math:arxiv_57866", "predicate": "proves", "object": "a general approach is formulated to describe spontaneous surface current distribution in a chiral p "}
{"subject": "math:arxiv_57881", "predicate": "proves", "object": "proving the existence of a solution to a system of real equations is a central issue in numerical an"}
{"subject": "math:arxiv_57890", "predicate": "proves", "object": "the spatial - temporal evolution of the purely transverse current filamentation instability is analy"}
{"subject": "math:arxiv_57897", "predicate": "proves", "object": "it is a brief review on composing and solving infrared evolution equations . \n they can be used in o"}
{"subject": "math:arxiv_57920", "predicate": "proves", "object": "we study the universality in gravitational waves emitted from non - rotating neutron stars character"}
{"subject": "math:arxiv_57932", "predicate": "proves", "object": "we determine conditions under which two hamiltonian torus actions on a symplectic manifold @xmath0 a"}
{"subject": "math:arxiv_57939", "predicate": "proves", "object": "bosonic dimer - dimer scattering is studied near the unitary limit using momentum - space equations "}
{"subject": "math:arxiv_57942", "predicate": "proves", "object": "the matrix 2x2 spectral differential equation of the second order is considered on x in ( @xmath0 ) "}
{"subject": "math:arxiv_57946", "predicate": "proves", "object": "self - consistent solutions to nonlinear spinor field equations in general relativity are studied fo"}
{"subject": "math:arxiv_57952", "predicate": "proves", "object": "the new exact formulas for the attractive casimir force acting on each of the two identical perfectl"}
{"subject": "math:arxiv_57966", "predicate": "proves", "object": "in this paper , we prove thomae s formula for triple coverings of the complex projective line @xmath"}
{"subject": "math:arxiv_57977", "predicate": "proves", "object": "we derive and evaluate one - loop functional flow equations for the effective interactions , self - "}
{"subject": "math:arxiv_57997", "predicate": "proves", "object": "we present the formulation of the problem of the coherent dynamics of quantum mechanical two - level"}
{"subject": "math:arxiv_58008", "predicate": "proves", "object": "the integral method can be used to model accurately flows down an inclined plane . \n such a method c"}
{"subject": "math:arxiv_58010", "predicate": "proves", "object": "lattice gas automata with collision rules that violate the conditions of semi - detailed - balance e"}
{"subject": "math:arxiv_58027", "predicate": "proves", "object": "in this paper we consider the nonlinear dispersive wave equation on the real line , @xmath0_x-[f(u)]"}
{"subject": "math:arxiv_58050", "predicate": "proves", "object": "the time - dependent restricted - active - space self - consistent - field ( td - rasscf ) method is"}
{"subject": "math:arxiv_58070", "predicate": "proves", "object": "the paper provides a direct proof the uniqueness of solutions to the camassa - holm equation , based"}
{"subject": "math:arxiv_58081", "predicate": "proves", "object": "discrete breathers are time - periodic , spatially localized solutions of the equations of motion fo"}
{"subject": "math:arxiv_58083", "predicate": "proves", "object": "in this paper we introduce a notion of front @xmath0-spinning for legendrian submanifolds of @xmath1"}
{"subject": "math:arxiv_58087", "predicate": "proves", "object": "phase separation in mixtures of polymers and alkanes is investigated with the aid of a recently deve"}
{"subject": "math:arxiv_58088", "predicate": "proves", "object": "starting with a post - newtonian description of compact binary systems , we derive a set of equation"}
{"subject": "math:arxiv_58093", "predicate": "proves", "object": "group theoretical technique for construction of two - electron wavefunctions with zero total momentu"}
{"subject": "math:arxiv_58106", "predicate": "proves", "object": "we show that the ground state interface geometry of binary condensates in the phase separated regime"}
{"subject": "math:arxiv_58117", "predicate": "proves", "object": "we propose a semi - discrete scheme for 2d keller - segel equations based on a symmetrization reform"}
{"subject": "math:arxiv_58126", "predicate": "proves", "object": "a natural geometric framework of noncommutative spacetime is symplectic geometry rather than riemann"}
{"subject": "math:arxiv_58131", "predicate": "proves", "object": "models of particle physics based on manifolds of @xmath0 holonomy are in most respects much more com"}
{"subject": "math:arxiv_58134", "predicate": "proves", "object": "we present lie group integrators for nonlinear stochastic differential equations with non - commutat"}
{"subject": "math:arxiv_58140", "predicate": "proves", "object": "the stability of the axisymmetric solitary waves of the gross - pitaevskii ( gp ) equation is invest"}
{"subject": "math:arxiv_58144", "predicate": "proves", "object": "this paper contains four main results associated with an attractor of a projective iterated function"}
{"subject": "math:arxiv_58154", "predicate": "proves", "object": "fast marching and fast sweeping are the two most commonly used methods for solving the eikonal equat"}
{"subject": "math:arxiv_58169", "predicate": "proves", "object": "in this paper , we propose a method to obtain a constrained approximation of a rational bzier curve "}
{"subject": "math:arxiv_58170", "predicate": "proves", "object": "recently it has been discovered that the rapidity dependence of the elliptic flow , @xmath0 , of cha"}
{"subject": "math:arxiv_58183", "predicate": "proves", "object": "given any complex number @xmath0 , we prove that there are infinitely many simple roots of the equat"}
{"subject": "math:arxiv_58192", "predicate": "proves", "object": "this paper is a continuation of the work started in @xcite and @xcite . \n we extend one of the theor"}
{"subject": "math:arxiv_58196", "predicate": "proves", "object": "in this paper , we prove the k - theoretical and l - theoretical farrell - jones conjecture with coe"}
{"subject": "math:arxiv_58201", "predicate": "proves", "object": "we propose several constructions of commutative or cocommutative hopf algebras based on various comb"}
{"subject": "math:arxiv_58212", "predicate": "proves", "object": "we report on the experimental observation of dynamic localization of a bose - einstein condensate in"}
{"subject": "math:arxiv_58242", "predicate": "proves", "object": "a simple model of anisotropic scattering in a quasi two - dimensional metal is studied . \n its simpl"}
{"subject": "math:arxiv_58249", "predicate": "proves", "object": "we present results of a renormalization - group calculation of the thermal conductivity of confined "}
{"subject": "math:arxiv_58264", "predicate": "proves", "object": "we demonstrate the systematic derivation of a class of discretizations of nonlinear schrdinger ( nls"}
{"subject": "math:arxiv_58292", "predicate": "proves", "object": "we present a composable security proof , valid against arbitrary attacks and including finite - size"}
{"subject": "math:arxiv_58316", "predicate": "proves", "object": "in this paper , we study the structure of the limit space of a sequence of almost einstein manifolds"}
{"subject": "math:arxiv_58318", "predicate": "proves", "object": "this article describes the cosmic microwave background anisotropies expected in a closed universe wi"}
{"subject": "math:arxiv_58321", "predicate": "proves", "object": "this paper solves the problem of computing conformal structures of general 2-manifolds represented a"}
{"subject": "math:arxiv_58327", "predicate": "proves", "object": "recent concerns about the very large next - to - leading logarithmic ( nll ) corrections to the bfkl"}
{"subject": "math:arxiv_58337", "predicate": "proves", "object": "we consider how the mass of the black hole decreases by the hawking radiation in the vaidya spacetim"}
{"subject": "math:arxiv_58347", "predicate": "proves", "object": "we study the equation of state at finite temperature and density in two - flavor qcd with the rg - i"}
{"subject": "math:arxiv_58362", "predicate": "proves", "object": "in a nonequilibrium steady state , the violation of the fluctuation - dissipation theorem ( fdt ) is"}
{"subject": "math:arxiv_58367", "predicate": "proves", "object": "the grnwald and shifted grnwald formulas for the function @xmath0 are first order approximations for"}
{"subject": "math:arxiv_58373", "predicate": "proves", "object": "in 2006 , bart and thomassen conjectured that the edges of every planar 4-regular 4-edge - connected"}
{"subject": "math:arxiv_58394", "predicate": "proves", "object": "this paper develops a formulation of the quasispecies equations appropriate for polysomic , semicons"}
{"subject": "math:arxiv_58410", "predicate": "proves", "object": "we describe simple quantum - mechanical approach to calculating equilibrium particle current along t"}
{"subject": "math:arxiv_58412", "predicate": "proves", "object": "we obtain some poincar type formulas , that we use , together with the level set analysis , to detec"}
{"subject": "math:arxiv_58420", "predicate": "proves", "object": "we present a formalism for inferring the equation of evolution of a complex wave field that is known"}
{"subject": "math:arxiv_58427", "predicate": "proves", "object": "we study quotients of the weyl algebra by left ideals whose generators consist of an arbitrary @xmat"}
{"subject": "math:arxiv_58434", "predicate": "proves", "object": "in 1986 , matveev defined the notion of borromean surgery for closed oriented @xmath0-manifolds and "}
{"subject": "math:arxiv_58452", "predicate": "proves", "object": "two hopf algebras are called monoidally morita equivalent if module categories over them are equival"}
{"subject": "math:arxiv_58490", "predicate": "proves", "object": "[ [ abstract . ] ] abstract . \n + + + + + + + + +    we develop the notion of the composition of two"}
{"subject": "math:arxiv_58499", "predicate": "proves", "object": "in this work , we focus on the construction of @xmath0th - rouge wave solutions for the hirota equat"}
{"subject": "math:arxiv_58507", "predicate": "proves", "object": "the generalization of the maupertuis principle to second - order variational calculus is performed ."}
{"subject": "math:arxiv_58508", "predicate": "proves", "object": "we study past horizons in the class of type  ii robinson  trautman vacuum spacetimes with a cosmolog"}
{"subject": "math:arxiv_58516", "predicate": "proves", "object": "in the present paper , we find a system of non - linear odes that gives rotationally invariant solut"}
{"subject": "math:arxiv_58518", "predicate": "proves", "object": "we have simulated the time - dependent ginzburg - landau equation with thermal fluctuations , to stu"}
{"subject": "math:arxiv_58519", "predicate": "proves", "object": "recently , a combined approach of cfie  bae has been proposed by authors for solving external scatte"}
{"subject": "math:arxiv_58523", "predicate": "proves", "object": "in this paper , we explore the structure of rabinowitz  floer homology @xmath0 on contact manifolds "}
{"subject": "math:arxiv_58537", "predicate": "proves", "object": "the thermomagnetic convection of magnetic fluids in a cylindrical geometry subjected to a homogeneou"}
{"subject": "math:arxiv_58542", "predicate": "proves", "object": "we relate notions of complementarity in three layers of quantum mechanics : ( i ) von neumann algebr"}
{"subject": "math:arxiv_58545", "predicate": "proves", "object": "the friedmann - robertson - walker(frw ) model with dynamical dark energy(de ) in the form of modifi"}
{"subject": "math:arxiv_58565", "predicate": "proves", "object": "the standard model of cosmology relies on the existence of two components , `` dark matter '' and ``"}
{"subject": "math:arxiv_58571", "predicate": "proves", "object": "the exact fermion master equation previously obtained in [ phys . \n rev . \n b * 78 * , 235311 ( 2008"}
{"subject": "math:arxiv_58585", "predicate": "proves", "object": "we compare algorithms for global optimization of polynomial functions in many variables . it is demo"}
{"subject": "math:arxiv_58602", "predicate": "proves", "object": "a recent reformulation @xcite of the problem of coulomb gases in the presence of a dynamical dielect"}
{"subject": "math:arxiv_58628", "predicate": "proves", "object": "a combinatorial interpretation is given of devlin s word problem underlying the classical center - f"}
{"subject": "math:arxiv_58638", "predicate": "proves", "object": "_ compensating csp _ ( ccsp ) is a language defined to model long running business transactions with"}
{"subject": "math:arxiv_58662", "predicate": "proves", "object": "we study the geometry of type ii supergravity compactifications in terms of an oriented vector bundl"}
{"subject": "math:arxiv_58667", "predicate": "proves", "object": "transport and scattering phenomena in open quantum - systems with a continuous energy spectrum are c"}
{"subject": "math:arxiv_58676", "predicate": "proves", "object": "starting from the hydrodynamic equations of binary granular mixtures , we derive an evolution equati"}
{"subject": "math:arxiv_58687", "predicate": "proves", "object": "within the covariant formulation of light - front dynamics , we calculate the state vector of a phys"}
{"subject": "math:arxiv_58690", "predicate": "proves", "object": "fining is a package for computation in finite incidence geometry . \n it provides users with the basi"}
{"subject": "math:arxiv_58711", "predicate": "proves", "object": "a multi - phase - field model for the description of the discontinuous precipitation reaction is for"}
{"subject": "math:arxiv_58720", "predicate": "proves", "object": "we study the gray index , a numerical invariant for phantom maps . \n it has been conjectured that th"}
{"subject": "math:arxiv_58721", "predicate": "proves", "object": "a 1-bridge torus knot in a 3-manifold of genus @xmath0 is a knot drawn on a heegaard torus with one "}
{"subject": "math:arxiv_58735", "predicate": "proves", "object": "we show that the inn - wigner contraction naturally associated to a reduction chain @xmath0 of semis"}
{"subject": "math:arxiv_58738", "predicate": "proves", "object": "the hamiltonian thermodynamics formalism is applied to the general @xmath0-dimensional reissner - no"}
{"subject": "math:arxiv_58741", "predicate": "proves", "object": "the recently developed method to solve the faddeev equations in coordinate space is used to study th"}
{"subject": "math:arxiv_58742", "predicate": "proves", "object": "_ the calculus of variations is a classical subject which has gain throughout the last three hundred"}
{"subject": "math:arxiv_58744", "predicate": "proves", "object": "the effect of ` dark energy ' ( i.e.  the @xmath0-term in einstein equations ) is sought for at the "}
{"subject": "math:arxiv_58747", "predicate": "proves", "object": "intrinsic delaunay triangulation ( idt ) is a fundamental data structure in computational geometry a"}
{"subject": "math:arxiv_58760", "predicate": "proves", "object": "we present a thermodynamic formulation for scale - invariant systems based on the minimization with "}
{"subject": "math:arxiv_58771", "predicate": "proves", "object": "the paper deals with using chaos to direct trajectories to targets and analyzes ruggedness and fract"}
{"subject": "math:arxiv_58776", "predicate": "proves", "object": "a proof of bell s theorem without inequalities is presented in which distant local setups do not nee"}
{"subject": "math:arxiv_58788", "predicate": "proves", "object": "a study of 3-body resonances has been performed in the framework of configuration space faddeev equa"}
{"subject": "math:arxiv_58810", "predicate": "proves", "object": "it is shown that any closed three - manifold @xmath0 obtained by integral surgery on a knot in the t"}
{"subject": "math:arxiv_58812", "predicate": "proves", "object": "this is an expository article concerning the last section `` why is the tangent space a group ? '' \n"}
{"subject": "math:arxiv_58813", "predicate": "proves", "object": "in this paper , we study dimension reduction of the three - dimensional ( 3d ) gross - pitaevskii eq"}
{"subject": "math:arxiv_58863", "predicate": "proves", "object": "there is a strikingly simple classical formula for the number of lattice paths avoiding the line @xm"}
{"subject": "math:arxiv_58864", "predicate": "proves", "object": "we have analysed a number of experimental geometries ( two and three - beam geometry , general syste"}
{"subject": "math:arxiv_58866", "predicate": "proves", "object": "we construct families of ordinary and gap solitons ( gss ) , including solitary vortices , in the tw"}
{"subject": "math:arxiv_58868", "predicate": "proves", "object": "if @xmath0 is a rationally null - homologous knot in a @xmath1-manifold @xmath2 , the _ rational gen"}
{"subject": "math:arxiv_58886", "predicate": "proves", "object": "we propose a family of reliable symplectic integrators adapted to the discrete non  linear schrdinge"}
{"subject": "math:arxiv_58890", "predicate": "proves", "object": "the revelation principle is a fundamental theorem in many economics fields . in this paper \n , we co"}
{"subject": "math:arxiv_58915", "predicate": "proves", "object": "this paper demonstrates how to add a measurement operator to quantum @xmath0-calculi . \n a proof of "}
{"subject": "math:arxiv_58933", "predicate": "proves", "object": "we consider a quasi - one - dimensional two - component systm , described by a pair of nonlinear sch"}
{"subject": "math:arxiv_58938", "predicate": "proves", "object": "let @xmath0 be a reductive group acting on a path algebra @xmath1 as automorphisms . \n we assume tha"}
{"subject": "math:arxiv_58945", "predicate": "proves", "object": "we propose a hilfer advection - diffusion equation of order @xmath0 and type @xmath1 , and find the "}
{"subject": "math:arxiv_58963", "predicate": "proves", "object": "we study the evolution of asexual microorganisms with small mutation rate in fluctuating environment"}
{"subject": "math:arxiv_58973", "predicate": "proves", "object": "a grazing bifurcation corresponds to the collision of a periodic orbit with a switching manifold in "}
{"subject": "math:arxiv_58981", "predicate": "proves", "object": "we try to constrain the equation - of - state ( eos ) of supra - nuclear - density matter in neutron"}
{"subject": "math:arxiv_58988", "predicate": "proves", "object": "the eigenvalue problem for radial potentials is considered in a space whose spatial coordinates sati"}
{"subject": "math:arxiv_58994", "predicate": "proves", "object": "the effective motion equation that describes the different monomer alternation along the heteropolym"}
{"subject": "math:arxiv_59003", "predicate": "proves", "object": "the algebraic structure of representation theory naturally arises from 2d fixed - point tensor netwo"}
{"subject": "math:arxiv_59019", "predicate": "proves", "object": "we perform a systematic numerical study , based on the time - dependent gross - pitaevskii equation "}
{"subject": "math:arxiv_59026", "predicate": "proves", "object": "a growing interface subject to noise is described by the kardar - parisi - zhang equation or , equiv"}
{"subject": "math:arxiv_59034", "predicate": "proves", "object": "differential faddeev equations in total angular momentum representation are used for the first time "}
{"subject": "math:arxiv_59040", "predicate": "proves", "object": "in the present work we apply the atomic approach to the single impurity anderson model ( siam ) . \n "}
{"subject": "math:arxiv_59075", "predicate": "proves", "object": "the generalised langevin equation with a retarded friction and a double - well potential is solved ."}
{"subject": "math:arxiv_59078", "predicate": "proves", "object": "we explore isospin mixing beyond that due to the coulomb interaction in the framework of an exactly "}
{"subject": "math:arxiv_59079", "predicate": "proves", "object": "a version of the dynamical systems method ( dsm ) for solving ill - conditioned linear algebraic sys"}
{"subject": "math:arxiv_59086", "predicate": "proves", "object": "a new numerical method for performing the nahm transform for charge @xmath0 caloron is presented . \n"}
{"subject": "math:arxiv_59105", "predicate": "proves", "object": "we present a generalized frequency redistribution function for the polarized two - term atom in an a"}
{"subject": "math:arxiv_59121", "predicate": "proves", "object": "the amplitude equation for an unstable electrostatic wave is analyzed using an expansion in the mode"}
{"subject": "math:arxiv_59140", "predicate": "proves", "object": "we investigate the zeeman - field - driven quantum phase transitions between singlet spin liquids an"}
{"subject": "math:arxiv_59151", "predicate": "proves", "object": "we give an explicit proof that @xmath0 gauge theories are one  loop renormalizable . \n fmfncren    0"}
{"subject": "math:arxiv_59155", "predicate": "proves", "object": "explicit energy - transport equations for the spinorial carrier transport in ferromagnetic semicondu"}
{"subject": "math:arxiv_59163", "predicate": "proves", "object": "in trying to generalize the classic sylvester - gallai theorem and de bruijn - erds theorem in plane"}
{"subject": "math:arxiv_59175", "predicate": "proves", "object": "operator axiom produces new real numbers with new operators . \n new operators naturally produce new "}
{"subject": "math:arxiv_59181", "predicate": "proves", "object": "four frequentist theorems on the large - sample limit behaviour of posterior distributions are prove"}
{"subject": "math:arxiv_59184", "predicate": "proves", "object": "in this paper , an explicit classification result for certain @xmath0-manifolds with fundamental gro"}
{"subject": "math:arxiv_59186", "predicate": "proves", "object": "birack modules are modules over an algebra @xmath0 $ ] associated to a finite birack @xmath1 . in pr"}
{"subject": "math:arxiv_59199", "predicate": "proves", "object": "in the present paper we consider @xmath0 gravity theories in the metric approach and we derive the e"}
{"subject": "math:arxiv_59203", "predicate": "proves", "object": "according to recent conjectures on the existence of large extra dimensions in our universe , black h"}
{"subject": "math:arxiv_59208", "predicate": "proves", "object": "we develop a heavy traffic diffusion limit theorem under nonstandard spatial scaling for the queue l"}
{"subject": "math:arxiv_59210", "predicate": "proves", "object": "for integer values of its free parameter , an empirical formula reproduces fairly well the mass valu"}
{"subject": "math:arxiv_59212", "predicate": "proves", "object": "we present an extension of the hllc approximate riemann solver by toro , spruce and speares to the r"}
{"subject": "math:arxiv_59216", "predicate": "proves", "object": "this work deals with the analysis of cylindrically symmetric and stationary space - times @xmath0 wi"}
{"subject": "math:arxiv_59220", "predicate": "proves", "object": "using a maximum entropy production principle ( mepp ) , we derive a new type of relaxation equations"}
{"subject": "math:arxiv_59224", "predicate": "proves", "object": "lie symmetry analysis is applied to study the nonlinear rotating shallow water equations . \n the 9-d"}
{"subject": "math:arxiv_59251", "predicate": "proves", "object": "we calculate the equation of state of the gross - neveu model in 2 + 1 dimensions at order @xmath0 ,"}
{"subject": "math:arxiv_59283", "predicate": "proves", "object": "we consider the future dynamics of a transient phantom dominated phase of the universe in lqc and in"}
{"subject": "math:arxiv_59297", "predicate": "proves", "object": "different momentum space faddeev - like equations and their solutions for the radiative pd - capture"}
{"subject": "math:arxiv_59308", "predicate": "proves", "object": "we formulate a quantum waveguide theory of the josephson effect in multiband superconductors , with "}
{"subject": "math:arxiv_59349", "predicate": "proves", "object": "we develop a scheme to take into account the effects of short - range nucleon - nucleon correlations"}
{"subject": "math:arxiv_59373", "predicate": "proves", "object": "this paper deals with the analysis of the asymptotic limit toward the derivation of macroscopic equa"}
{"subject": "math:arxiv_59374", "predicate": "proves", "object": "the lattice gauge theory for curved spacetime is formulated . \n a discretized action is derived for "}
{"subject": "math:arxiv_59379", "predicate": "proves", "object": "an analytic parametrization of the hyperonic matter equation of state based on microscopic brueckner"}
{"subject": "math:arxiv_59381", "predicate": "proves", "object": "a nonlinear schrdinger equation arising from light propagation down an inhomogeneous medium is consi"}
{"subject": "math:arxiv_59383", "predicate": "proves", "object": "the phenomenon of quantum number fractionalization is explained . the relevance of non - trivial pho"}
{"subject": "math:arxiv_59384", "predicate": "proves", "object": "a phenomenological theory is presented for two - dimensional quantum liquids in terms of the fermi s"}
{"subject": "math:arxiv_59409", "predicate": "proves", "object": "by solving the self - consistent system of maxwell and density matrix equations to the first order w"}
{"subject": "math:arxiv_59420", "predicate": "proves", "object": "we present a general formalism based on the variational principle for finding the time - optimal qua"}
{"subject": "math:arxiv_59429", "predicate": "proves", "object": "we investigate the nonlinear dynamics of inertia - gravity ( ig ) wave modes in three - dimensional "}
{"subject": "math:arxiv_59432", "predicate": "proves", "object": "the classical equations of irrotational water waves have recently been reformulated as a system of t"}
{"subject": "math:arxiv_59497", "predicate": "proves", "object": "we study the inverse electrostatic and elasticity problems associated with poisson and navier equati"}
{"subject": "math:arxiv_59501", "predicate": "proves", "object": "a penalization method for a suitable reformulation of the governing equations as a constrained optim"}
{"subject": "math:arxiv_59517", "predicate": "proves", "object": "we consider the 1d nonlinear schrdinger equation ( nls ) with focusing _ point nonlinearity _ , @xma"}
{"subject": "math:arxiv_59524", "predicate": "proves", "object": "three conceptually different masses appear in equations of motion for objects under gravity , namely"}
{"subject": "math:arxiv_59549", "predicate": "proves", "object": "we present a universal formalism for transverse momentum resummation in the view of soft - collinear"}
{"subject": "math:arxiv_59552", "predicate": "proves", "object": "the bethe equations , arising in description of the spectrum of the dilatation operator for the @xma"}
{"subject": "math:arxiv_59553", "predicate": "proves", "object": "we review some cohomological aspects of complex and hypercomplex manifolds and underline the differe"}
{"subject": "math:arxiv_59562", "predicate": "proves", "object": "let @xmath0 , @xmath1 , be a real codimension two cr singular real - analytic submanifold that is no"}
{"subject": "math:arxiv_59570", "predicate": "proves", "object": "we study the effect of tidal torques on the collapse of density peaks through the equations of motio"}
{"subject": "math:arxiv_59571", "predicate": "proves", "object": "in this paper we give a rigorous definition of cylindrical contact homology for contact @xmath0-mani"}
{"subject": "math:arxiv_59600", "predicate": "proves", "object": "the paper revisits the compressible kraichnan model of turbulent advection in order to derive explic"}
{"subject": "math:arxiv_59601", "predicate": "proves", "object": "in 1971 , feynman _ \n et al . _ published a paper on hadronic mass spectra and transition rates base"}
{"subject": "math:arxiv_59635", "predicate": "proves", "object": "a necessary and sufficient algebraic condition for a diffeomorphism over a surface embedded in @xmat"}
{"subject": "math:arxiv_59647", "predicate": "proves", "object": "we investigate the time - dependent transport properties of single and double quantum - impurity sys"}
{"subject": "math:arxiv_59648", "predicate": "proves", "object": "in the investigation of limits of markov chains , the presence of states which become instantaneous "}
{"subject": "math:arxiv_59660", "predicate": "proves", "object": "we investigate the dependence of the escape rate on the position of a hole placed in uniformly hyper"}
{"subject": "math:arxiv_59688", "predicate": "proves", "object": "a strongly well - posed initial boundary value problem based upon constraint - preserving boundary c"}
{"subject": "math:arxiv_59693", "predicate": "proves", "object": "we investigate the turbulence effect in dark fluid universe with linear inhomogeneous equation of st"}
{"subject": "math:arxiv_59695", "predicate": "proves", "object": "polynomial assignments for a torus @xmath0-action on a smooth manifold @xmath1 were introduced in @x"}
{"subject": "math:arxiv_59716", "predicate": "proves", "object": "in the past , several efficient methods have been developed to solve the schrdinger equation for fou"}
{"subject": "math:arxiv_59720", "predicate": "proves", "object": "in this paper we classify weingarten surfaces integrable in the sense of soliton theory . \n the crit"}
{"subject": "math:arxiv_59726", "predicate": "proves", "object": "treebolic space is an analog of the sol geometry , namely , it is the horocylic product of the hyper"}
{"subject": "math:arxiv_59728", "predicate": "proves", "object": "starting from boolean algebras of languages closed under quotients and using duality theoretic insig"}
{"subject": "math:arxiv_59741", "predicate": "proves", "object": "we present a theoretical study of a superconducting charge qubit dispersively coupled to a transmiss"}
{"subject": "math:arxiv_59742", "predicate": "proves", "object": "we study the singularities of the irreducible components of the springer fiber over a nilpotent elem"}
{"subject": "math:arxiv_59759", "predicate": "proves", "object": "in this paper we give a simple proof of the equivalence between the rational link associated to the "}
{"subject": "math:arxiv_59766", "predicate": "proves", "object": "given a locally nilpotent derivation on an affine algebra @xmath0 over a field @xmath1 of characteri"}
{"subject": "math:arxiv_59769", "predicate": "proves", "object": "we prove that menger s theorem is valid for infinite graphs , in the following strong version : let "}
{"subject": "math:arxiv_59797", "predicate": "proves", "object": "we consider the yamabe equation on a complete non - compact riemannian manifold and study the condit"}
{"subject": "math:arxiv_59806", "predicate": "proves", "object": "we propose a topological approach suitable to establish a connection between thermodynamics and topo"}
{"subject": "math:arxiv_59808", "predicate": "proves", "object": "determination of proton parton distribution functions is present under the dynamical parton model as"}
{"subject": "math:arxiv_59825", "predicate": "proves", "object": "cha and kim proved that if a knot @xmath0 is not algebraically slice , then no iterated bing double "}
{"subject": "math:arxiv_59832", "predicate": "proves", "object": "we use a diffuse interface method for solving poisson s equation with a dirichlet condition on an em"}
{"subject": "math:arxiv_59847", "predicate": "proves", "object": "we present a fully lagrangian conservation form of the general relativistic hydrodynamic equations f"}
{"subject": "math:arxiv_59863", "predicate": "proves", "object": "we investigate the casimir - polder force acting on a polarizable microparticle in the geometry of a"}
{"subject": "math:arxiv_59871", "predicate": "proves", "object": "the coupled equations for the scalar modes of the linearized einstein equations around schwarzschild"}
{"subject": "math:arxiv_59879", "predicate": "proves", "object": "an @xmath0__-bialgebra _ _ _ of type _ \n @xmath1 is a hopf algebra @xmath2 equipped with a compatibl"}
{"subject": "math:arxiv_59891", "predicate": "proves", "object": "we present the formula for angular distribution of integral flux of conventional ( @xmath0 ) muons d"}
{"subject": "math:arxiv_59901", "predicate": "proves", "object": "we study @xmath0-differential posets , a class of combinatorial objects introduced in 1988 by the fi"}
{"subject": "math:arxiv_59910", "predicate": "proves", "object": "we report on an original and simple formulation of the phase shift in @xmath0-light - pulse atom int"}
{"subject": "math:arxiv_59911", "predicate": "proves", "object": "in this paper we give an explicit formula for the homfly polynomial of a rational link ( in particul"}
{"subject": "math:arxiv_59920", "predicate": "proves", "object": "using gauge transformation method , we generate rogue waves for the two component bose einstein cond"}
{"subject": "math:arxiv_59941", "predicate": "proves", "object": "in this paper we use results on reducibility , localization and duality for the almost mathieu opera"}
{"subject": "math:arxiv_59957", "predicate": "proves", "object": "the effects of an unconditional move rule in the spatial prisoner s dilemma , snowdrift and stag hun"}
{"subject": "math:arxiv_59972", "predicate": "proves", "object": "the aim of this article is to derive surface wave models in the presence of surface tension and visc"}
{"subject": "math:arxiv_59980", "predicate": "proves", "object": "we study a particular class of open manifolds . in the category of riemannian manifolds these are co"}
{"subject": "math:arxiv_59981", "predicate": "proves", "object": "we show that , within some modified gravity theories , such as the palatini models , the non - linea"}
{"subject": "math:arxiv_59984", "predicate": "proves", "object": "within the scheme of quantum rate equations , we investigate the spin - resolved transport through a"}
{"subject": "math:arxiv_59990", "predicate": "proves", "object": "this paper presents a numerical compression strategy for the boundary integral equation of acoustic "}
{"subject": "math:arxiv_60031", "predicate": "proves", "object": "kinetic equations are used to study thermalization of the anisotropic quark - gluon plasma produced "}
{"subject": "math:arxiv_60036", "predicate": "proves", "object": "we prove the existence of a positive radial solution for the hnon equation with arbitrary growth . \n"}
{"subject": "math:arxiv_60038", "predicate": "proves", "object": "we establish explicit isomorphisms between three realizations of the quantum twisted affine algebra "}
{"subject": "math:arxiv_60040", "predicate": "proves", "object": "this paper introduces a numerical scheme for time harmonic maxwell s equations by using weak galerki"}
{"subject": "math:arxiv_60093", "predicate": "proves", "object": "in [ acta math . univ . \n comenianae vol . \n lxxx , 1 ( 2011 ) , pp . \n 6370 ] , yang , chen and shi"}
{"subject": "math:arxiv_60094", "predicate": "proves", "object": "we apply the bosonization technique to derive the phase diagram of a balanced unit density two - com"}
{"subject": "math:arxiv_60121", "predicate": "proves", "object": "an action on order ideals of posets considered by fon - der - flaass is analyzed in the case of pose"}
{"subject": "math:arxiv_60126", "predicate": "proves", "object": "states in algebraic quantum field theory  typically  establish correlation between spacelike separat"}
{"subject": "math:arxiv_60131", "predicate": "proves", "object": "in @xcite , we introduced a new , matrix algebraic , performance analysis framework for wireless sys"}
{"subject": "math:arxiv_60133", "predicate": "proves", "object": "we discuss the geometry of trees endowed with a causal structure using the conventional framework of"}
{"subject": "math:arxiv_60198", "predicate": "proves", "object": "in certain two - dimensional time - dependent flows , the braiding of periodic orbits provides a way"}
{"subject": "math:arxiv_60204", "predicate": "proves", "object": "we show the equivalence of the pieri formula for flag manifolds and certain identities among the str"}
{"subject": "math:arxiv_60230", "predicate": "proves", "object": "we discuss the scaling properties of free branched polymers . \n the scaling behaviour of the model i"}
{"subject": "math:arxiv_60239", "predicate": "proves", "object": "we discuss a simple , semiclassical scattering theory for spin - dependent transport in a many - ter"}
{"subject": "math:arxiv_60246", "predicate": "proves", "object": "in space dimension @xmath0 , we consider the electromagnetic schrdinger hamiltonian @xmath1 and the "}
{"subject": "math:arxiv_60257", "predicate": "proves", "object": "we formulate lattice fermions in a way that encompasses wilson fermions as well as the static and no"}
{"subject": "math:arxiv_60285", "predicate": "proves", "object": "this paper provides a proof of concept for an eeg - based reconstruction of a visual image which is "}
{"subject": "math:arxiv_60290", "predicate": "proves", "object": "non - dispersive wave packet for massless fermions is formulated on the basis of squeezed coherent s"}
{"subject": "math:arxiv_60294", "predicate": "proves", "object": "in this paper we show rigidity results for super - solutions to fully nonlinear elliptic conformally"}
{"subject": "math:arxiv_60308", "predicate": "proves", "object": "we present a new and improved method for simultaneous control of temperature and pressure in molecul"}
{"subject": "math:arxiv_60345", "predicate": "proves", "object": "here , we study the classical information capacity of a quantum channel , assuming linear optical en"}
{"subject": "math:arxiv_60372", "predicate": "proves", "object": "we derive a set of gauge independent gap equations for higgs boson and vector boson masses for the s"}
{"subject": "math:arxiv_60381", "predicate": "proves", "object": "physical systems , characterized by an ensemble of interacting elementary constituents , can be repr"}
{"subject": "math:arxiv_60405", "predicate": "proves", "object": "we analytically and numerically analyze groundwater flow in a homogeneous soil described by the rich"}
{"subject": "math:arxiv_60420", "predicate": "proves", "object": "we reformulate the topological symmetry breaking scheme for phase transitions in systems with anyons"}
{"subject": "math:arxiv_60426", "predicate": "proves", "object": "we consider the integrable system of isotropic su(3 ) landau - lifshits equation as a hamiltonian sy"}
{"subject": "math:arxiv_60443", "predicate": "proves", "object": "despite quantum tunneling has been studied since the advent of quantum mechanics , the literature ap"}
{"subject": "math:arxiv_60458", "predicate": "proves", "object": "we explore the geometric notion of prolongations in the setting of computational algebra , extending"}
{"subject": "math:arxiv_60468", "predicate": "proves", "object": "we give henneberg - type constructions for three families of sparse colored graphs arising in the ri"}
{"subject": "math:arxiv_60469", "predicate": "proves", "object": "we consider the non - isothermal flow of a compressible fluid through pipes . \n starting from the fu"}
{"subject": "math:arxiv_60489", "predicate": "proves", "object": "a microscopic calculation of the equation of state for asymmetric nuclear matter is presented . \n we"}
{"subject": "math:arxiv_60493", "predicate": "proves", "object": "by using the discrete poisson equations the star - triangle ( external ) equivalence in conducting n"}
{"subject": "math:arxiv_60502", "predicate": "proves", "object": "in this paper , we study @xmath0-anti - slant warped product submanifold of a nearly paracosymplecti"}
{"subject": "math:arxiv_60524", "predicate": "proves", "object": "we consider equations of nonlinear schrdinger type augmented by nonlinear damping terms . \n we show "}
{"subject": "math:arxiv_60526", "predicate": "proves", "object": "we present a detailed dynamical analysis of the projected density and kinematical data available for"}
{"subject": "math:arxiv_60548", "predicate": "proves", "object": "we briefly review a number of important recent experimental and theoretical developments in the fiel"}
{"subject": "math:arxiv_60562", "predicate": "proves", "object": "the well - known problem of classical mechanics considered by bertrand ( 1857 ) and darboux ( 1901 )"}
{"subject": "math:arxiv_60569", "predicate": "proves", "object": "sparsity plays a central role in recent developments in signal processing , linear algebra , statist"}
{"subject": "math:arxiv_60574", "predicate": "proves", "object": "the dispersive wave propagation in a periodic metamaterial with tetrachiral topology and inertial lo"}
{"subject": "math:arxiv_60587", "predicate": "proves", "object": "decay of regular static spherically symmetric solutions in the @xmath0 yang - mills - dilaton ( ymd "}
{"subject": "math:arxiv_60626", "predicate": "proves", "object": "we here present how a self - consistent solution of the dynamical mean field theory equations can be"}
{"subject": "math:arxiv_60627", "predicate": "proves", "object": "recently , grabowska and kaplan proposed a @xmath0-dimensional lattice formulation of chiral gauge t"}
{"subject": "math:arxiv_60628", "predicate": "proves", "object": "for eight - dimensional quantum systems there is a kochen - specker ( ks ) set of 40  quantum yes - "}
{"subject": "math:arxiv_60631", "predicate": "proves", "object": "while there has been significant progress on algorithmic aspects of the lovsz local lemma ( lll ) in"}
{"subject": "math:arxiv_60655", "predicate": "proves", "object": "hopf bifurcations in fast - slow systems of ordinary differential equations can be associated with s"}
{"subject": "math:arxiv_60684", "predicate": "proves", "object": "we consider thermoelectric transport properties of the edge states of a two dimensional topological "}
{"subject": "math:arxiv_60707", "predicate": "proves", "object": "a well - known theorem of quillen says that if @xmath0 is a bihomogeneous polynomial on @xmath1 posi"}
{"subject": "math:arxiv_60714", "predicate": "proves", "object": "a stochastic partial differential equation ( spde ) is derived for super - brownian motion regarded "}
{"subject": "math:arxiv_60722", "predicate": "proves", "object": "we present a geometric theorem on a porism about cyclic quadrilaterals , namely the existence of an "}
{"subject": "math:arxiv_60724", "predicate": "proves", "object": "we use shear transformation zone ( stz ) theory to develop a deformation map for amorphous solids as"}
{"subject": "math:arxiv_60726", "predicate": "proves", "object": "a famous characterization theorem due to c.f . \n gauss states that the maximum likelihood estimator "}
{"subject": "math:arxiv_60734", "predicate": "proves", "object": "models with extra spatial dimensions and tev - scale gravity offer the first opportunity to test the"}
{"subject": "math:arxiv_60748", "predicate": "proves", "object": "we present a new algorithm for solving ideal relativistic hydrodynamics based on godunov method with"}
{"subject": "math:arxiv_60756", "predicate": "proves", "object": "we look to gradations of kac - moody lie algebras by kac - moody root systems with finite dimensiona"}
{"subject": "math:arxiv_60762", "predicate": "proves", "object": "we study the statics and dynamics of an elastic manifold in a disordered medium with quenched defect"}
{"subject": "math:arxiv_60797", "predicate": "proves", "object": "on basis of the theorem of a universal shower development stating that a hadronically generated exte"}
{"subject": "math:arxiv_60799", "predicate": "proves", "object": "a comparative study of the @xmath0 hyperon equations of state of banik , hempel and banyopadhyay ( b"}
{"subject": "math:arxiv_60818", "predicate": "proves", "object": "we propose a modified form of the spontanteous birth of the universe by quantum tunneling . \n it pro"}
{"subject": "math:arxiv_60859", "predicate": "proves", "object": "raghavendra ( stoc 2008 ) gave an elegant and surprising result : if khot s unique games conjecture "}
{"subject": "math:arxiv_60881", "predicate": "proves", "object": "the recent nonlocal generalization of einstein s theory of gravitation reduces in the newtonian regi"}
{"subject": "math:arxiv_60883", "predicate": "proves", "object": "the properties of electrostatic transverse shear waves propagating in a strongly coupled dusty plasm"}
{"subject": "math:arxiv_60896", "predicate": "proves", "object": "motivated by arguments of the nuclear core - layer model formulated in [ s.i . \n bastrukov , j.a . \n"}
{"subject": "math:arxiv_60980", "predicate": "proves", "object": "forecasting models of the solar wind often rely on simple parameterizations of the magnetic field th"}
{"subject": "math:arxiv_60983", "predicate": "proves", "object": "we give a short proof of a conjecture of lubin concerning certain families of @xmath0-adic power ser"}
{"subject": "math:arxiv_60987", "predicate": "proves", "object": "in this paper we prove non - existence and classification results for elliptic fully nonlinear ellip"}
{"subject": "math:arxiv_60989", "predicate": "proves", "object": "we investigate the question on existence of entire solutions of well - known linear differential equ"}
{"subject": "math:arxiv_60991", "predicate": "proves", "object": "this paper studies a slow - fast system whose principal characteristic is that the slow manifold is "}
{"subject": "math:arxiv_61001", "predicate": "proves", "object": "the modified chaplygin gas ( mcg ) is a strong candidate for the unified model of dark matter and da"}
{"subject": "math:arxiv_61028", "predicate": "proves", "object": "i use an interpolation formula , introduced recently by guerra and toninelli in order to prove the e"}
{"subject": "math:arxiv_61058", "predicate": "proves", "object": "a revised formula for the inclusive cross section for double parton scattering in terms of the modif"}
{"subject": "math:arxiv_61073", "predicate": "proves", "object": "in the present paper we develop an algorithm to solve the time dependent ginzburg - landau ( tdgl ) "}
{"subject": "math:arxiv_61075", "predicate": "proves", "object": "we prove that the probability of crossing a large square in quenched voronoi percolation converges t"}
{"subject": "math:arxiv_61080", "predicate": "proves", "object": "in this work we analyze the convergence of solutions of the poisson equation with neumann boundary c"}
{"subject": "math:arxiv_61082", "predicate": "proves", "object": "the problem of calculating of the mass spectrum of the two - body bethe - salpeter equation is studi"}
{"subject": "math:arxiv_61085", "predicate": "proves", "object": "we design an axiomatization for reversible computation called reversible acp ( racp ) . \n it has fou"}
{"subject": "math:arxiv_61095", "predicate": "proves", "object": "we present an explicit solution based on the phase - amplitude approximation of the _ fokker - planc"}
{"subject": "math:arxiv_61098", "predicate": "proves", "object": "in [ dr1 ] drinfeld showed that any finite dimensional hopf algebra @xmath0 extends to a quasitriang"}
{"subject": "math:arxiv_61102", "predicate": "proves", "object": "we derive the system of hydrodynamic equations governing the collective motion of massless fermions "}
{"subject": "math:arxiv_61124", "predicate": "proves", "object": "radiative transfer equation in an accretion disk wind is examined analytically and numerically under"}
{"subject": "math:arxiv_61127", "predicate": "proves", "object": "in this article we compute and analyse the transition rates and duration of reactive trajectories of"}
{"subject": "math:arxiv_61129", "predicate": "proves", "object": "a general real - space multigrid algorithm mika ( multigrid instead of the k - space ) for the self "}
{"subject": "math:arxiv_61135", "predicate": "proves", "object": "the contribution of reducible connections to the @xmath0 chern - simons invariant of a seifert manif"}
{"subject": "math:arxiv_61161", "predicate": "proves", "object": "let @xmath0 be a simply connected , connected non - commutative nilpotent lie group with lie algebra"}
{"subject": "math:arxiv_61171", "predicate": "proves", "object": "we explore the impact of incorporating physically motivated ionisation and recombination rates on th"}
{"subject": "math:arxiv_61192", "predicate": "proves", "object": "a partial differential eigenvalue equation for the density displacement fields associated with elect"}
{"subject": "math:arxiv_61195", "predicate": "proves", "object": "we relate the semiclassical asymptotics of the @xmath0 symbols for the quantized enveloping algebra "}
{"subject": "math:arxiv_61233", "predicate": "proves", "object": "three - dimensional electrodynamics in the spinor ( i.e. two - component ) version is considered . w"}
{"subject": "math:arxiv_61237", "predicate": "proves", "object": "one - dimensional stochastic differential equations with additive lvy noise are considered . \n condi"}
{"subject": "math:arxiv_61240", "predicate": "proves", "object": "non - standard overview on the possible formulation towards a unified model on the lattice is presen"}
{"subject": "math:arxiv_61241", "predicate": "proves", "object": "public transport systems in 22 polish cities have been analyzed . \n sizes of these networks range fr"}
{"subject": "math:arxiv_61275", "predicate": "proves", "object": "we give an effective sufficient condition for a variational problem with infinite horizon on a compa"}
{"subject": "math:arxiv_61278", "predicate": "proves", "object": "we discuss the possibility of using pair - equations for the construction of the effective hamiltoni"}
{"subject": "math:arxiv_61280", "predicate": "proves", "object": "the field equations for scalar - tensor - vector - gravity ( stvg ) or modified gravity ( mog ) have"}
{"subject": "math:arxiv_61296", "predicate": "proves", "object": "a langevin equation with multiplicative noise is an equation schematically of the form @xmath0 , whe"}
{"subject": "math:arxiv_61306", "predicate": "proves", "object": "we discuss some recent results on flexible polyhedra and the bellows conjecture , which claims that "}
{"subject": "math:arxiv_61312", "predicate": "proves", "object": "in 1945 , a.  w.  goodman and r.  e.  goodman proved the following conjecture by p.  erds : given a "}
{"subject": "math:arxiv_61338", "predicate": "proves", "object": "we present first worldline analytical and numerical results for the nontrivial interplay between geo"}
{"subject": "math:arxiv_61342", "predicate": "proves", "object": "the two point angular correlation function is an excellent measure of structure in the universe . to"}
{"subject": "math:arxiv_61345", "predicate": "proves", "object": "this note is devoted to a trick which yields almost trivial proofs that certain complexes associated"}
{"subject": "math:arxiv_61354", "predicate": "proves", "object": "in tropical algebraic geometry , the solution sets of polynomial equations are piecewise - linear . "}
{"subject": "math:arxiv_61382", "predicate": "proves", "object": "a monte carlo code to solve the transfer of ly@xmath0 photons is developed , which can predict the l"}
{"subject": "math:arxiv_61385", "predicate": "proves", "object": "in this paper , we study the monogamy inequality of tsallis - q entropy entanglement . \n we first pr"}
{"subject": "math:arxiv_61400", "predicate": "proves", "object": "recently the general form of a translation - covariant quantum boltzmann equation has been derived w"}
{"subject": "math:arxiv_61401", "predicate": "proves", "object": "we consider a stochastic model described by two stochastic differential equations of motion ; one is"}
{"subject": "math:arxiv_61402", "predicate": "proves", "object": "we suggest a new perspective on the cosmological constant problem by scrutinizing its standard formu"}
{"subject": "math:arxiv_61413", "predicate": "proves", "object": "we investigate particle accelerators in rotating neutron - star magnetospheres , by simultaneously s"}
{"subject": "math:arxiv_61419", "predicate": "proves", "object": "this paper uses techniques in noncommutative geometry as developed by alain connes @xcite , in order"}
{"subject": "math:arxiv_61421", "predicate": "proves", "object": "we introduce an efficient configuration space technique which allows one to compute a class of feynm"}
{"subject": "math:arxiv_61430", "predicate": "proves", "object": "the recent work of bonnaf et al . \n @xcite shows through two conjectures that @xmath0-domino tableau"}
{"subject": "math:arxiv_61438", "predicate": "proves", "object": "the motion of nonlinearly oscillating particle under the influence of a periodic sequence of short i"}
{"subject": "math:arxiv_61440", "predicate": "proves", "object": "we consider the influence of realistic island diffusion rates to homoepitaxial growth on metallic su"}
{"subject": "math:arxiv_61446", "predicate": "proves", "object": "asymptotically harmonic manifolds are simply connected complete riemannian manifolds without conjuga"}
{"subject": "math:arxiv_61459", "predicate": "proves", "object": "we consider the @xmath0 topology of the dirac lines , i.e. , lines of band contacts , on an example "}
{"subject": "math:arxiv_61463", "predicate": "proves", "object": "we derive the equation of state ( eos ) for electrically charge neutral dense matter using quantum h"}
{"subject": "math:arxiv_61464", "predicate": "proves", "object": "we show the first known example for a pattern @xmath0 for which @xmath1{s_n(q)}$ ] is not an integer"}
{"subject": "math:arxiv_61470", "predicate": "proves", "object": "we derive the form of the quantum filter equation describing the continuous observation of the phase"}
{"subject": "math:arxiv_61499", "predicate": "proves", "object": "coherent scattering of an electron beam by the kapitza - dirac effect from a standing laser wave whi"}
{"subject": "math:arxiv_61507", "predicate": "proves", "object": "we study the stability of five - dimensional myers - perry black holes with equal angular momenta wh"}
{"subject": "math:arxiv_61542", "predicate": "proves", "object": "it is not yet known if the global attractor of the space periodic 2d navier - stokes equations conta"}
{"subject": "math:arxiv_61552", "predicate": "proves", "object": "we investigate a bell - type inequality for probabilities of detected atoms formulated using atom - "}
{"subject": "math:arxiv_61560", "predicate": "proves", "object": "we prove a russo - seymour - welsch percolation theorem for nodal domains and nodal lines associated"}
{"subject": "math:arxiv_61568", "predicate": "proves", "object": "sylvester s identity is a classical determinantal identity with a straightforward linear algebra pro"}
{"subject": "math:arxiv_61575", "predicate": "proves", "object": "exploiting spectral properties of symmetric banded toeplitz matrices , we describe simple sufficient"}
{"subject": "math:arxiv_61577", "predicate": "proves", "object": "a grid of stellar evolution models for procyon a has been calculated . \n these models include the be"}
{"subject": "math:arxiv_61584", "predicate": "proves", "object": "fractional calculus , in allowing integrals and derivatives of any positive order ( the term `` frac"}
{"subject": "math:arxiv_61600", "predicate": "proves", "object": "in the process of constructing invariant difference schemes which approximate partial differential e"}
{"subject": "math:arxiv_61605", "predicate": "proves", "object": "we present a detailed study of the entanglement dynamics of a two - qubit system coupled to independ"}
{"subject": "math:arxiv_61613", "predicate": "proves", "object": "we consider a network of coupled agents playing the prisoner s dilemma game , in which players are a"}
{"subject": "math:arxiv_61640", "predicate": "proves", "object": "kaneko and sakai @xcite recently observed that certain elliptic curves whose associated newforms ( b"}
{"subject": "math:arxiv_61654", "predicate": "proves", "object": "testing of the gravitation equations , proposed by one of the authors earlier , by a binary pulsar i"}
{"subject": "math:arxiv_61662", "predicate": "proves", "object": "we present several characterizations of circle graphs , which follow from bouchet s circle graph obs"}
{"subject": "math:arxiv_61667", "predicate": "proves", "object": "we show that for any point @xmath0 in a closed riemannian manifold @xmath1 , there exists at least o"}
{"subject": "math:arxiv_61670", "predicate": "proves", "object": "linear index coding can be formulated as an interference alignment problem , in which precoding vect"}
{"subject": "math:arxiv_61700", "predicate": "proves", "object": "we study a variational problem whose critical point determines the reeb vector field for a sasaki  e"}
{"subject": "math:arxiv_61702", "predicate": "proves", "object": "we provide a generalized lorentz _ four - vector _ theorem . \n we use this theorem to verify mller s"}
{"subject": "math:arxiv_61718", "predicate": "proves", "object": "the profile function for the hedgehog skyrmion is investigated . after discussing how the form of th"}
{"subject": "math:arxiv_61732", "predicate": "proves", "object": "in this paper we present splitting methods which are based on iterative schemes and applied to stoch"}
{"subject": "math:arxiv_61735", "predicate": "proves", "object": "we study a simplified model for pulsed laser deposition [ phys . \n rev . \n lett . * 87 * , 135701 ( "}
{"subject": "math:arxiv_61760", "predicate": "proves", "object": "we have analytically obtained all the density matrix elements up to six lattice sites for the spin-1"}
{"subject": "math:arxiv_61761", "predicate": "proves", "object": "the collective production of electron  positron pairs by electrostatic waves in quantum plasmas is i"}
{"subject": "math:arxiv_61768", "predicate": "proves", "object": "a stochastic nonlinear partial differential equation is built for two different models exhibiting se"}
{"subject": "math:arxiv_61769", "predicate": "proves", "object": "a set of equations is developed to describe a curve in space given the curvature @xmath0 and the ang"}
{"subject": "math:arxiv_61771", "predicate": "proves", "object": "the boltzmann transport equation ( bte ) has proven indispensable in elucidating quasiballistic heat"}
{"subject": "math:arxiv_61777", "predicate": "proves", "object": "in this paper a reaction - diffusion type equation is the starting point for setting up a genuine th"}
{"subject": "math:arxiv_61784", "predicate": "proves", "object": "a discrete in time model of ideological competition is formulated taking into account population mig"}
{"subject": "math:arxiv_61804", "predicate": "proves", "object": "we show that the widely used parabolic approximation to the equation of state ( eos ) of asymmetric "}
{"subject": "math:arxiv_61813", "predicate": "proves", "object": "we study the convergence in probability in the non - standard @xmath0 skorokhod topology of the hilb"}
{"subject": "math:arxiv_61824", "predicate": "proves", "object": "the solution of the mean spherical approximation ( msa ) integral equation for isotropic multicompon"}
{"subject": "math:arxiv_61828", "predicate": "proves", "object": "this paper is concerned with the theory of generic non - normal nonlinear evolutionary equations , w"}
{"subject": "math:arxiv_61871", "predicate": "proves", "object": "in this paper we will provide some related results . \n first we introduce a generalization of fundam"}
{"subject": "math:arxiv_61939", "predicate": "proves", "object": "in this paper , we write down a special heegaard diagram for a given product three manifold @xmath0 "}
{"subject": "math:arxiv_61955", "predicate": "proves", "object": "we find approximate analytical presentation of the solutions @xmath0 of schrdinger equation for two "}
{"subject": "math:arxiv_61973", "predicate": "proves", "object": "we compute the number of triangulations of a convex @xmath0-gon each of whose sides is subdivided by"}
{"subject": "math:arxiv_61989", "predicate": "proves", "object": "we consider transport properties of a two dimensional topological insulator in a double quantum poin"}
{"subject": "math:arxiv_61991", "predicate": "proves", "object": "we present a unified framework for learning continuous control policies using backpropagation . \n it"}
{"subject": "math:arxiv_61993", "predicate": "proves", "object": "we consider a triple quantum dot system in a triangular geometry with one of the dots connected to m"}
{"subject": "math:arxiv_61997", "predicate": "proves", "object": "we show that the numerical solution of the classical @xmath0 yang - mills equations of motion in the"}
{"subject": "math:arxiv_62010", "predicate": "proves", "object": "here we shall find the green s function of the difference equation of loop quantum cosmology . \n to "}
{"subject": "math:arxiv_62014", "predicate": "proves", "object": "we have formulated a relaxation mechanism for ferrites and ferromagnetic metals whereby the coupling"}
{"subject": "math:arxiv_62015", "predicate": "proves", "object": "let @xmath0 be a groupoid dynamical system . we show that if @xmath1 is assumed to be measurewise am"}
{"subject": "math:arxiv_62049", "predicate": "proves", "object": "in a novel parametrization of neutrino mixing and in the approximation of @xmath0-lepton dominance ,"}
{"subject": "math:arxiv_62055", "predicate": "proves", "object": "phase diagram of the spin-1 quantum heisenberg model with both exchange as well as single - ion anis"}
{"subject": "math:arxiv_62059", "predicate": "proves", "object": "two - dimensional ( 2d ) periodic electric modulations of a 2d electron gas split each landau level "}
{"subject": "math:arxiv_62066", "predicate": "proves", "object": "molecular dynamics simulations are used to study the spreading of binary polymer nanodroplets in a c"}
{"subject": "math:arxiv_62086", "predicate": "proves", "object": "we study semileptonic and radiative @xmath0 decays involving the strange tensor meson @xmath1 in the"}
{"subject": "math:arxiv_62106", "predicate": "proves", "object": "stability of spatially inhomogeneous solutions to the vlasov equation is investigated for the hamilt"}
{"subject": "math:arxiv_62113", "predicate": "proves", "object": "spectral methods are well suited for solving hydrodynamic problems in which the self - gravity of th"}
{"subject": "math:arxiv_62120", "predicate": "proves", "object": "the distinctive features of passing the two - component extremely short pulses through the nonlinear"}
{"subject": "math:arxiv_62126", "predicate": "proves", "object": "the dynamical equations describing the evolution of a self - gravitating fluid of cold dark matter ("}
{"subject": "math:arxiv_62174", "predicate": "proves", "object": "we study a class of potentials @xmath0 on one sided full shift spaces over finite or countable alpha"}
{"subject": "math:arxiv_62188", "predicate": "proves", "object": "we study the cooling behaviour of an isolated strange quark star , using an equation of state derive"}
{"subject": "math:arxiv_62212", "predicate": "proves", "object": "a linear analysis of thermal diffusion and maxwell equations is applied to study the thermomagnetic "}
{"subject": "math:arxiv_62214", "predicate": "proves", "object": "these are expanded notes of four introductory talks on @xmath0-algebras , their modules and their de"}
{"subject": "math:arxiv_62217", "predicate": "proves", "object": "we prove that any compact manifold without boundary admits a pair of diffeomorphisms that generates "}
{"subject": "math:arxiv_62238", "predicate": "proves", "object": "we develop a theory of collective phase description for globally coupled noisy excitable elements ex"}
{"subject": "math:arxiv_62243", "predicate": "proves", "object": "let @xmath0 be a compact @xmath1-dimensional riemannian manifold without a boundary . given @xmath2 "}
{"subject": "math:arxiv_62262", "predicate": "proves", "object": "newcomb s lagrangian for ideal magnetohydrodynamics ( mhd ) in lagrangian labeling is discretized us"}
{"subject": "math:arxiv_62271", "predicate": "proves", "object": "we study optical effects in quintessential kerr black hole spacetimes corresponding to the limiting "}
{"subject": "math:arxiv_62282", "predicate": "proves", "object": "we investigated the common difficulties that students have with concepts related to rotational and r"}
{"subject": "math:arxiv_62301", "predicate": "proves", "object": "the welschinger invariants of real rational algebraic surfaces are natural analogues of the genus ze"}
{"subject": "math:arxiv_62311", "predicate": "proves", "object": "we extend our previous studies of shock waves and shock - free solutions in thin accretion and winds"}
{"subject": "math:arxiv_62317", "predicate": "proves", "object": "in this note we show that for any proper action of a banach  lie group @xmath0 on a banach manifold "}
{"subject": "math:arxiv_62319", "predicate": "proves", "object": "we address the problem of computing the fundamental group of a symplectic @xmath0-manifold for non -"}
{"subject": "math:arxiv_62342", "predicate": "proves", "object": "this study is the first in a series in which we analyze the structure and topology of the cosmic web"}
{"subject": "math:arxiv_62356", "predicate": "proves", "object": "the connection between network topology and stability remains unclear . \n general approaches that cl"}
{"subject": "math:arxiv_62362", "predicate": "proves", "object": "we continue an investigation initiated by consani \n marcolli of the relation between the algebraic g"}
{"subject": "math:arxiv_62372", "predicate": "proves", "object": "we present an evolution equation which simultaneously sums the leading bfkl and dglap logarithms for"}
{"subject": "math:arxiv_62373", "predicate": "proves", "object": "we consider the loop equation in four - dimensional @xmath0 sym , which is a functional differential"}
{"subject": "math:arxiv_62377", "predicate": "proves", "object": "we prove the existence of solutions of a cross - diffusion parabolic population problem . \n the syst"}
{"subject": "math:arxiv_62387", "predicate": "proves", "object": "we find a class of exact solutions to the lighthill whitham richards payne ( lwrp ) traffic flow equ"}
{"subject": "math:arxiv_62390", "predicate": "proves", "object": "explicit formulas which describe muon pair production in reaction @xmath0 through neutrino magnetic "}
{"subject": "math:arxiv_62406", "predicate": "proves", "object": "we deal with an initial - boundary value problem for the generalized time - dependent schrdinger equ"}
{"subject": "math:arxiv_62424", "predicate": "proves", "object": "we propose an explicit formula connecting donaldson invariants and seiberg - witten invariants of a "}
{"subject": "math:arxiv_62436", "predicate": "proves", "object": "we develop a mode coupling theory(mct ) to study the nonequilibrium glass transition behavior of a m"}
{"subject": "math:arxiv_62483", "predicate": "proves", "object": "we present a general framework to describe the evolutionary dynamics of an arbitrary number of types"}
{"subject": "math:arxiv_62509", "predicate": "proves", "object": "we discuss the canonical structure of the collective formulation of vector model / higher spin duali"}
{"subject": "math:arxiv_62515", "predicate": "proves", "object": "geometric complexity theory ( gct ) is an approach to the @xmath0 vs. @xmath1 and related problems t"}
{"subject": "math:arxiv_62516", "predicate": "proves", "object": "kinetic equations for the stationary state distribution function of ions moving through narrow pores"}
{"subject": "math:arxiv_62520", "predicate": "proves", "object": "this work considers the quadratic gaussian multiterminal ( mt ) source coding problem and provides a"}
{"subject": "math:arxiv_62543", "predicate": "proves", "object": "let @xmath0 be a @xmath1-diffeomorphism , @xmath2 , defined on a compact boundaryless @xmath3-dimens"}
{"subject": "math:arxiv_62563", "predicate": "proves", "object": "we give the monodromy representations of local systems of twisted homology groups associated with la"}
{"subject": "math:arxiv_62579", "predicate": "proves", "object": "clifford gates are a winsome class of quantum operations combining mathematical elegance with physic"}
{"subject": "math:arxiv_62588", "predicate": "proves", "object": "we investigate steady states of a quasilinear first order hyperbolic partial integro - differential "}
{"subject": "math:arxiv_62591", "predicate": "proves", "object": "in this paper we introduce a generalization of a brauer graph algebra which we call a brauer configu"}
{"subject": "math:arxiv_62593", "predicate": "proves", "object": "a fully adaptive finite volume multiresolution scheme for one - dimensional strongly degenerate para"}
{"subject": "math:arxiv_62595", "predicate": "proves", "object": "we present a detailed study of the dynamics of correlations in non - markovian environments , applyi"}
{"subject": "math:arxiv_62600", "predicate": "proves", "object": "we present various exact solutions of a discrete complex ginzburg - landau ( cgl ) equation on a pla"}
{"subject": "math:arxiv_62605", "predicate": "proves", "object": "the hilbert action principle for the einstein equations has two boundary terms that must be subtract"}
{"subject": "math:arxiv_62607", "predicate": "proves", "object": "grover s quantum algorithm improves any classical search algorithm . \n we show how random gaussian n"}
{"subject": "math:arxiv_62610", "predicate": "proves", "object": "baryons as relativistic bound states in 3-quark correlations are described by an effective bethe - s"}
{"subject": "math:arxiv_62614", "predicate": "proves", "object": "we present a new multilevel method for calculating poisson s equation , which often arises form elec"}
{"subject": "math:arxiv_62623", "predicate": "proves", "object": "the bifurcation diagram of a model stochastic differential equation with delayed feedback is present"}
{"subject": "math:arxiv_62640", "predicate": "proves", "object": "this paper contains an error analysis of two randomized explicit runge - kutta schemes for ordinary "}
{"subject": "math:arxiv_62662", "predicate": "proves", "object": "the logic of hereditary harrop formulas ( ) has proven useful for specifying a wide range of formal "}
{"subject": "math:arxiv_62673", "predicate": "proves", "object": "according to the nielsen - ninomiya no - go theorem , the doubling of fermions on the lattice can no"}
{"subject": "math:arxiv_62678", "predicate": "proves", "object": "some empirical parametrizations of the @xmath0 transition amplitudes violates the siegert s theorem "}
{"subject": "math:arxiv_62680", "predicate": "proves", "object": "spin - dependent total @xmath0 cross sections are considered using the optical theorem . for this ai"}
{"subject": "math:arxiv_62692", "predicate": "proves", "object": "the @xmath0 dimensional manifold with two mutually commutative operators of differentiation is intro"}
{"subject": "math:arxiv_62695", "predicate": "proves", "object": "we present exact solutions of the gravitational field equations in the generalized randall - sundrum"}
{"subject": "math:arxiv_62703", "predicate": "proves", "object": "loop calculus introduced in @xcite constitutes a new theoretical tool that explicitly expresses the "}
{"subject": "math:arxiv_62704", "predicate": "proves", "object": "we find a family of exact solutions of einstein equations describing the field of a static axisymmet"}
{"subject": "math:arxiv_62705", "predicate": "proves", "object": "we introduce a new approach to an enumerative problem closely linked with the geometry of branched c"}
{"subject": "math:arxiv_62721", "predicate": "proves", "object": "the three - dimensional nonlinear dynamics of an electron gas in a semiconductor quantum well is ana"}
{"subject": "math:arxiv_62739", "predicate": "proves", "object": "the exact solution for the two particle spectrum of the heisenberg - peierls one dimensional spin ch"}
{"subject": "math:arxiv_62759", "predicate": "proves", "object": "this article describes recent applications of algebraic geometry to noncommutative algebra . \n these"}
{"subject": "math:arxiv_62773", "predicate": "proves", "object": "we investigate a partial differential equation model of a cancer cell population , which is structur"}
{"subject": "math:arxiv_62809", "predicate": "proves", "object": "after recalling the definition of black holes , and reviewing their energetics and their classical t"}
{"subject": "math:arxiv_62839", "predicate": "proves", "object": "in this note we show that abstract planar algebras are algebras over the topological operad of modul"}
{"subject": "math:arxiv_62842", "predicate": "proves", "object": "we propose a three - potential formalism for the three - body coulomb scattering problem . \n the cor"}
{"subject": "math:arxiv_62846", "predicate": "proves", "object": "using integral equation theory of liquids to a binary mixed fluid lipid membrane , we study the memb"}
{"subject": "math:arxiv_62859", "predicate": "proves", "object": "it is shown how initial conditions can be appropriately defined for the integration of lorentz - dir"}
{"subject": "math:arxiv_62875", "predicate": "proves", "object": "the bethe - salpeter equation for three bosons with zero - range interaction is solved for the first"}
{"subject": "math:arxiv_62876", "predicate": "proves", "object": "the energy evolution of average multiplicities of quark and gluon jets is studied in perturbative qc"}
{"subject": "math:arxiv_62883", "predicate": "proves", "object": "we consider the family of hnon maps in the plane and show that the srb measures vary continuously in"}
{"subject": "math:arxiv_62920", "predicate": "proves", "object": "we consider a fractional laplace equation and we give a self - contained elementary exposition of th"}
{"subject": "math:arxiv_62941", "predicate": "proves", "object": "the quantum monte carlo method for spin 1/2 fermions at finite temperature is formulated for dilute "}
{"subject": "math:arxiv_62949", "predicate": "proves", "object": "we follow a polynomial approach to analyse strong stability of linear difference equations with rati"}
{"subject": "math:arxiv_62952", "predicate": "proves", "object": "the method of choice for integrating the equations of motion of the general n - body problem has bee"}
{"subject": "math:arxiv_62956", "predicate": "proves", "object": "this article presents some considerations about the goldbach s conjecture ( gc ) . \n the work is bas"}
{"subject": "math:arxiv_62970", "predicate": "proves", "object": "it is possible to provide a thermodynamic interpretation for the field equations in any diffeomorphi"}
{"subject": "math:arxiv_62990", "predicate": "proves", "object": "we investigate the gluon green s function in the high energy limit of qcd using a recently proposed "}
{"subject": "math:arxiv_62992", "predicate": "proves", "object": "we give explicit formulae for fringe lengths of the calegari - walker _ ziggurats _  i.e. graphs of "}
{"subject": "math:arxiv_63012", "predicate": "proves", "object": "in this _ letter _ we explore a version of the test of cosmological geometry proposed by alcock & pa"}
{"subject": "math:arxiv_63040", "predicate": "proves", "object": "the holographic ratio in pre - big bang string cosmology is obtained in the presence string sources "}
{"subject": "math:arxiv_63042", "predicate": "proves", "object": "quantum measurement theory has fallen under the resticting influence of the attempt to explain the f"}
{"subject": "math:arxiv_63052", "predicate": "proves", "object": "based on a variational principle with a stochastic forcing , we indicate that the stochastic schrdin"}
{"subject": "math:arxiv_63067", "predicate": "proves", "object": "the production of very - high-@xmath0 , @xmath1 - 500 , strontium rydberg atoms is explored using a "}
{"subject": "math:arxiv_63071", "predicate": "proves", "object": "it is quite generally assumed that the overdamped langevin equation provides a quantitative descript"}
{"subject": "math:arxiv_63099", "predicate": "proves", "object": "in euclidean geometry , it is well - known that the @xmath0-order voronoi diagram in @xmath1 can be "}
{"subject": "math:arxiv_63110", "predicate": "proves", "object": "for the first time , we obtain the entropy variation law in a laser process after finding the kraus "}
{"subject": "math:arxiv_63123", "predicate": "proves", "object": "a general stability criterion is derived for the ground states of the gross - pitaevskii equation , "}
{"subject": "math:arxiv_63136", "predicate": "proves", "object": "we prove that the ensemble the nested coset codes built on finite fields achieves the capacity of ar"}
{"subject": "math:arxiv_63137", "predicate": "proves", "object": "in landau gauge qcd the infrared behavior of the propagator of transverse gluons can be analytically"}
{"subject": "math:arxiv_63145", "predicate": "proves", "object": "the linear and nonlinear properties of the rao - dust - magnetohydrodynamic ( r - d - mhd ) waves in"}
{"subject": "math:arxiv_63153", "predicate": "proves", "object": "in this on - going@xmath0 work , i explore certain theoretical and empirical implications of data tr"}
{"subject": "math:arxiv_63154", "predicate": "proves", "object": "an analytical formula is developed to represent accurately the photoabsorption cross section of for "}
{"subject": "math:arxiv_63165", "predicate": "proves", "object": "differential phase shift quantum key distribution systems have a high potential for achieving high s"}
{"subject": "math:arxiv_63175", "predicate": "proves", "object": "we formulate the many - body spin dynamics at high temperature within the non - equilibrium keldysh "}
{"subject": "math:arxiv_63195", "predicate": "proves", "object": "in this paper we study the positivity of the generalized @xmath0-translation associated with the @xm"}
{"subject": "math:arxiv_63198", "predicate": "proves", "object": "we consider @xmath0-dimensional branes constructed with two scalar fields @xmath1 and @xmath2 couple"}
{"subject": "math:arxiv_63211", "predicate": "proves", "object": "we formulated a technique which combines the first - principles , micromagnetic and microstructural "}
{"subject": "math:arxiv_63216", "predicate": "proves", "object": "functional data analysis in a mixed - effects model framework is done using operator calculus . in t"}
{"subject": "math:arxiv_63224", "predicate": "proves", "object": "we transfer the algebro - geometric method of construction of solutions of the discrete kp equation "}
{"subject": "math:arxiv_63238", "predicate": "proves", "object": "the dynamical equations describing the evolution of a self - gravitating fluid can be rewritten in t"}
{"subject": "math:arxiv_63242", "predicate": "proves", "object": "we propose an effective exponent ruling the algebraic decay of the average quantum return probabilit"}
{"subject": "math:arxiv_63249", "predicate": "proves", "object": "we study quantum correlations and quantum noise in the soliton collision described by a general two "}
{"subject": "math:arxiv_63278", "predicate": "proves", "object": "in 2003 , cohn and umans described a framework for proving upper bounds on the exponent @xmath0 of m"}
{"subject": "math:arxiv_63282", "predicate": "proves", "object": "recent indications for high neutron star masses ( @xmath0 ) and large radii ( @xmath1 km ) could rul"}
{"subject": "math:arxiv_63289", "predicate": "proves", "object": "in analogy with the poisson algebra of the quadratic forms on the symplectic plane , and the notion "}
{"subject": "math:arxiv_63295", "predicate": "proves", "object": "we show that if you represent all primes with less than n - digits as points in n - dimensional spac"}
{"subject": "math:arxiv_63302", "predicate": "proves", "object": "we cast the four - dimensional field equations of the nonsymmetric gravitational theory ( ngt ) into"}
{"subject": "math:arxiv_63333", "predicate": "proves", "object": "we present results of a numerical study of the differential equation governing the stationary states"}
{"subject": "math:arxiv_63337", "predicate": "proves", "object": "in this paper we consider some properties of the three - dimensional homogeneous so(2)-isotropic rie"}
{"subject": "math:arxiv_63352", "predicate": "proves", "object": "monte - carlo implementations of @xmath0-factorization formula with both kln and running - coupling "}
{"subject": "math:arxiv_63371", "predicate": "proves", "object": "the non - modal linear stability of miscible viscous fingering in a two dimensional homogeneous poro"}
{"subject": "math:arxiv_63383", "predicate": "proves", "object": "the fundamentals of a quantum heat engine are derived from first principles . \n the study is based o"}
{"subject": "math:arxiv_63388", "predicate": "proves", "object": "we prove the genus zero part of the generalized witten conjecture , relating moduli spaces of higher"}
{"subject": "math:arxiv_63406", "predicate": "proves", "object": "let @xmath0 be a hypersurface in a @xmath1-dimensional holomorphic symplectic manifold @xmath2 . \n t"}
{"subject": "math:arxiv_63410", "predicate": "proves", "object": "the two - dimensional cubic nonlinear schrdinger equation ( nls ) can be used as a model of phenomen"}
{"subject": "math:arxiv_63434", "predicate": "proves", "object": "model theoretic internality provides conditions under which the group of automorphisms of a model ov"}
{"subject": "math:arxiv_63436", "predicate": "proves", "object": "we continue to study topological properties of the group @xmath0 of all homeomorphisms of a cantor s"}
{"subject": "math:arxiv_63445", "predicate": "proves", "object": "lips and swallow - tails are generic local moves of singularities of a smooth map to a @xmath0-manif"}
{"subject": "math:arxiv_63447", "predicate": "proves", "object": "in this paper one considers three homotopy functors on the category of manifolds , @xmath0 and paral"}
{"subject": "math:arxiv_63449", "predicate": "proves", "object": "we introduce a tensor - based algebraic clustering method to extract sparse , low - dimensional stru"}
{"subject": "math:arxiv_63459", "predicate": "proves", "object": "quantum mechanics ( qm ) is a very special probabilistic theory , yet we do nt know which operationa"}
{"subject": "math:arxiv_63462", "predicate": "proves", "object": "in this paper , two types of traveling wave solutions to the osmosis k(2 , 2 ) equation @xmath0 are "}
{"subject": "math:arxiv_63474", "predicate": "proves", "object": "a celebrated theorem of marshall hall jr .  implies that finitely generated free groups are subgroup"}
{"subject": "math:arxiv_63476", "predicate": "proves", "object": "density - functional studies of the electronic structures and exchange interaction parameters have b"}
{"subject": "math:arxiv_63490", "predicate": "proves", "object": "the modal logic s4 can be used via a curry - howard style correspondence to obtain a @xmath0-calculu"}
{"subject": "math:arxiv_63493", "predicate": "proves", "object": "in this paper , we investigate the two component long wave short wave resonance interaction ( 2clsri"}
{"subject": "math:arxiv_63503", "predicate": "proves", "object": "we investigate the time evolution of higher order cumulants of conserved charges in a volume with th"}
{"subject": "math:arxiv_63505", "predicate": "proves", "object": "we have developed 3d , compressible , non - linear radiative mhd simulations to study the influence "}
{"subject": "math:arxiv_63513", "predicate": "proves", "object": "a representation for integral kernels of delsarte transmutation operators is obtained in the form of"}
{"subject": "math:arxiv_63521", "predicate": "proves", "object": "the phase - integral approximation devised by frman and frman , is used for computing cosmological p"}
{"subject": "math:arxiv_63565", "predicate": "proves", "object": "nonlinear localized magnetic excitations in one dimensional magnonic crystal is investigated under p"}
{"subject": "math:arxiv_63567", "predicate": "proves", "object": "the main result of this paper is the rate of convergence to hermite - type distributions in non - ce"}
{"subject": "math:arxiv_63572", "predicate": "proves", "object": "we show that for large coupling delays the synchronizability of delay - coupled networks of identica"}
{"subject": "math:arxiv_63587", "predicate": "proves", "object": "we study the problem of the existence of increasing and continuous solutions @xmath0\\to[0,1]$ ] such"}
{"subject": "math:arxiv_63592", "predicate": "proves", "object": "we survey the theory of local models of shimura varieties . in particular , we discuss their definit"}
{"subject": "math:arxiv_63610", "predicate": "proves", "object": "let @xmath0 be a riemannian manifold and @xmath1 be the space of all smooth paths on @xmath0 . \n we "}
{"subject": "math:arxiv_63637", "predicate": "proves", "object": "a new approach to the quenched propagator in qed beyond the ir limit is proposed . \n the method is b"}
{"subject": "math:arxiv_63661", "predicate": "proves", "object": "let @xmath0 be a diffeomorphism of a compact finite dimensional boundaryless manifold @xmath1 exhibi"}
{"subject": "math:arxiv_63679", "predicate": "proves", "object": "we show that the thermodynamics of a system of strings at high energy densities under the ideal gas "}
{"subject": "math:arxiv_63703", "predicate": "proves", "object": "we review and supplement the recent result by the authors on the reduction of the three dimensional "}
{"subject": "math:arxiv_63716", "predicate": "proves", "object": "a simple proof is given of the following result first observed by j.  adachi : embedded circles tang"}
{"subject": "math:arxiv_63730", "predicate": "proves", "object": "in this paper , we investigate the solutions for a generalized fractional diffusion equation that ex"}
{"subject": "math:arxiv_63738", "predicate": "proves", "object": "we present a theorem in d - dimensional static , spherically symmetric spacetime in generic lovelock"}
{"subject": "math:arxiv_63740", "predicate": "proves", "object": "in this paper we study global properties of the wigner caustic and affine equidistants of parameteri"}
{"subject": "math:arxiv_63759", "predicate": "proves", "object": "by reformulating the steepest - entropy - ascent ( sea ) dynamical model for non - equilibrium therm"}
{"subject": "math:arxiv_63781", "predicate": "proves", "object": "the solutions of the reduced maxwell  bloch equations for an anisotropic two - level medium , which "}
{"subject": "math:arxiv_63800", "predicate": "proves", "object": "we introduce and discuss a nonlinear kinetic equation of boltzmann type which describes the influenc"}
{"subject": "math:arxiv_63803", "predicate": "proves", "object": "equations defining the jumping loci for the first cohomology group of one - dimensional representati"}
{"subject": "math:arxiv_63808", "predicate": "proves", "object": "supernova flux and polarization spectra bring vital information on the geometry , physical condition"}
{"subject": "math:arxiv_63822", "predicate": "proves", "object": "we derive an explicit formula for an entanglement measure of mixed quantum states in a multi - level"}
{"subject": "math:arxiv_63875", "predicate": "proves", "object": "while conformal transformations of the plane preserve laplace s equation , lorentz - conformal mappi"}
{"subject": "math:arxiv_63877", "predicate": "proves", "object": "i point out a symmetry , between equations of state for polytropic fluids , in the equation of motio"}
{"subject": "math:arxiv_63880", "predicate": "proves", "object": "we prove a decomposition theorem for the @xmath0-index of a gorenstein * poset analogous to the deco"}
{"subject": "math:arxiv_63891", "predicate": "proves", "object": "we study characteristics of the relativistic equation of state ( eos ) for collapse - driven superno"}
{"subject": "math:arxiv_63903", "predicate": "proves", "object": "motivated by nekrasov s instanton counting , we discuss a method for calculating equivariant volumes"}
{"subject": "math:arxiv_63926", "predicate": "proves", "object": "in the study of model electronic device systems where electrons are typically under confinement , a "}
{"subject": "math:arxiv_63931", "predicate": "proves", "object": "a general formulation to compute habitable zones around binary stars is presented . \n a habitable zo"}
{"subject": "math:arxiv_63947", "predicate": "proves", "object": "the orbital magnetization of the electron gas on a two - dimensional kagom lattice under a perpendic"}
{"subject": "math:arxiv_63950", "predicate": "proves", "object": "we examine charged slowly rotating perfect fluids in the presence of a cosmological constant . \n the"}
{"subject": "math:arxiv_63951", "predicate": "proves", "object": "starting from an exact counting of small and positive cosmological constant states in the bousso - p"}
{"subject": "math:arxiv_63958", "predicate": "proves", "object": "the higher @xmath0-catalan polynomial @xmath1 can be defined combinatorially as a weighted sum of la"}
{"subject": "math:arxiv_63978", "predicate": "proves", "object": "the applications of nonequilbrium relations such as the jarzynski equality and the fluctuation theor"}
{"subject": "math:arxiv_63981", "predicate": "proves", "object": "this paper is concerned with open quantum systems whose dynamic variables satisfy canonical commutat"}
{"subject": "math:arxiv_63995", "predicate": "proves", "object": "the purpose of this note is to extend to any space dimension the bilinear estimate for eigenfunction"}
{"subject": "math:arxiv_64004", "predicate": "proves", "object": "the nonlinear recombination equation from population genetics has a long history and is notoriously "}
{"subject": "math:arxiv_64008", "predicate": "proves", "object": "in this paper , we generalize haagerup s inequality @xcite ( on convolution norm in the free group )"}
{"subject": "math:arxiv_64009", "predicate": "proves", "object": "to investigate the formation mechanism of energy spectra of internal waves in the oceans , direct nu"}
{"subject": "math:arxiv_64014", "predicate": "proves", "object": "the aim of this paper is to give an account of some applications of pseudodifferential calculus for "}
{"subject": "math:arxiv_64015", "predicate": "proves", "object": "it has been believed that topology and signature change of the universe can only happen accompanied "}
{"subject": "math:arxiv_64019", "predicate": "proves", "object": "we give the formulation of the gravitational lensing theory in the strong field limit for a schwarzs"}
{"subject": "math:arxiv_64022", "predicate": "proves", "object": "we analyze the dynamics of a nano - mechanical resonator coupled to a single - electron transistor ("}
{"subject": "math:arxiv_64034", "predicate": "proves", "object": "we define a relative version of tiling cohomology for the purpose of comparing the topology of tilin"}
{"subject": "math:arxiv_64059", "predicate": "proves", "object": "the evolution of the universe is studied in exactly solvable dynamical quantum model with the robert"}
{"subject": "math:arxiv_64060", "predicate": "proves", "object": "in this paper we present the proof of the convergence of the critical bond percolation exploration p"}
{"subject": "math:arxiv_64068", "predicate": "proves", "object": "discrete green s functions are the inverses or pseudo - inverses of combinatorial laplacians . we pr"}
{"subject": "math:arxiv_64070", "predicate": "proves", "object": "a rigorous theory of diffraction scattering from extended objects is proposed . \n the present theory"}
{"subject": "math:arxiv_64091", "predicate": "proves", "object": "this paper uses results on the classification of minimal triangulations of 3-manifolds to produce ad"}
{"subject": "math:arxiv_64099", "predicate": "proves", "object": "it is well known since stasheff s work that 1-fold loop spaces can be described in terms of the exis"}
{"subject": "math:arxiv_64101", "predicate": "proves", "object": "a new algorithm is presented to find exact traveling wave solutions of differential - difference equ"}
{"subject": "math:arxiv_64103", "predicate": "proves", "object": "in the present paper , we study the defocusing complex short pulse ( csp ) equations both geometrica"}
{"subject": "math:arxiv_64111", "predicate": "proves", "object": "we prove the volume conjecture for an infinite family of links called whitehead chains that generali"}
{"subject": "math:arxiv_64114", "predicate": "proves", "object": "we investigate a class of stochastic fragmentation processes involving stable and unstable fragments"}
{"subject": "math:arxiv_64119", "predicate": "proves", "object": "two conjectures of su and wang ( 2008 ) concerning binomial coefficients are proved . for @xmath0 an"}
{"subject": "math:arxiv_64123", "predicate": "proves", "object": "we study transport through a double quantum dot , both in the sequential tunneling and cotunneling r"}
{"subject": "math:arxiv_64127", "predicate": "proves", "object": "we discuss phenomenological tests for the frozen infrared behavior of the running coupling constant "}
{"subject": "math:arxiv_64129", "predicate": "proves", "object": "let @xmath0 be the category of finite - dimensional representations of a quantum affine algebra @xma"}
{"subject": "math:arxiv_64141", "predicate": "proves", "object": "on the basis of a moment method , general solutions of a linearized boltzmann equation for a normal "}
{"subject": "math:arxiv_64151", "predicate": "proves", "object": "this paper , as the sequel to previous work , develops numerical schemes for fractional diffusion eq"}
{"subject": "math:arxiv_64155", "predicate": "proves", "object": "we consider the perturbations of the massive vector field around schwarzschild , schwarzschild - de "}
{"subject": "math:arxiv_64164", "predicate": "proves", "object": "starting from a spectral expansion of the fokker - plank equation for the membrane potential density"}
{"subject": "math:arxiv_64176", "predicate": "proves", "object": "we give bounds for the global attractor of the delay differential equation @xmath0 , where @xmath1 i"}
{"subject": "math:arxiv_64184", "predicate": "proves", "object": "in this article , i would like to express some of my views on the nature of turbulence . \n these vie"}
{"subject": "math:arxiv_64218", "predicate": "proves", "object": "we study the ballistic adsorption of a polydisperse mixture of spheres onto a line . within a mean -"}
{"subject": "math:arxiv_64224", "predicate": "proves", "object": "the large @xmath0 asymptotics ( perturbation series ) for integrals of the form @xmath1 , where @xma"}
{"subject": "math:arxiv_64291", "predicate": "proves", "object": "the aim of this paper is to study the algebra @xmath0 of absolutely continuous functions @xmath1 on "}
{"subject": "math:arxiv_64300", "predicate": "proves", "object": "this paper gives a general treatment and proof of the direct conservation law method presented in pa"}
{"subject": "math:arxiv_64302", "predicate": "proves", "object": "we establish a formula for the weight multiplicities of demazure modules ( in particular for highest"}
{"subject": "math:arxiv_64307", "predicate": "proves", "object": "the band structure of the novel low - temperature thermoelectric material , , is calculated and anal"}
{"subject": "math:arxiv_64308", "predicate": "proves", "object": "lebesgue s dominated convergence theorem is a crucial pillar of modern analysis , but there are cert"}
{"subject": "math:arxiv_64331", "predicate": "proves", "object": "we investigate the generation of quantum mechanical entanglement of two remote oscillators that are "}
{"subject": "math:arxiv_64366", "predicate": "proves", "object": "let @xmath0 and @xmath1 be compact , orientable 3-manifolds with incompressible boundary , and @xmat"}
{"subject": "math:arxiv_64378", "predicate": "proves", "object": "teichmller curves are geodesic discs in teichmller space that project to algebraic curves @xmath0 in"}
{"subject": "math:arxiv_64394", "predicate": "proves", "object": "we reformulate the hamilton - jacobi tunneling method for calculating hawking radiation in static , "}
{"subject": "math:arxiv_64412", "predicate": "proves", "object": "we discuss closed - form formulas for the @xmath0-th partial bell polynomials derived in cvijovi @xc"}
{"subject": "math:arxiv_64413", "predicate": "proves", "object": "we discuss a link between the topological recursion relations derived algebraically by witten and th"}
{"subject": "math:arxiv_64436", "predicate": "proves", "object": "vacuum solutions to the einstein equations can be viewed as the interplay between the geometry and t"}
{"subject": "math:arxiv_64445", "predicate": "proves", "object": "starting from a single band hubbard model in the wannier function basis , we revisit the problem of "}
{"subject": "math:arxiv_64448", "predicate": "proves", "object": "we consider the estimation problem of misspecified ergodic lvy driven stochastic differential equati"}
{"subject": "math:arxiv_64457", "predicate": "proves", "object": "we propose a scheme for the calculation from the navier - stokes equations of the scaling exponents "}
{"subject": "math:arxiv_64459", "predicate": "proves", "object": "using a large-@xmath0 expansion we present and solve the linearized equation for the superconducting"}
{"subject": "math:arxiv_64462", "predicate": "proves", "object": "the classical divergence theorem for an @xmath0-dimensional domain @xmath1 and a smooth vector field"}
{"subject": "math:arxiv_64466", "predicate": "proves", "object": "a well - known combinatorial theorem says that a set of @xmath0 non - collinear points in the plane "}
{"subject": "math:arxiv_64479", "predicate": "proves", "object": "langevin simulation provides an effective way to study collisional effects in beams by reducing the "}
{"subject": "math:arxiv_64496", "predicate": "proves", "object": "quantum game theory is a recently developing field of physical research . in this paper , we investi"}
{"subject": "math:arxiv_64503", "predicate": "proves", "object": "we obtain some restrictions on the topology of infinite volume hyperbolic manifolds . in particular "}
{"subject": "math:arxiv_64508", "predicate": "proves", "object": "the continuity properties of the radial distribution function @xmath0 and its close relative the cav"}
{"subject": "math:arxiv_64509", "predicate": "proves", "object": "we report on a monte carlo method that generates one - dimensional trajectories for bohm s formulati"}
{"subject": "math:arxiv_64539", "predicate": "proves", "object": "we present a model for semiflexible polymers in hamiltonian formulation which interpolates between a"}
{"subject": "math:arxiv_64544", "predicate": "proves", "object": "in this work a green function approach for scattering quantum walks is developed . \n the exact formu"}
{"subject": "math:arxiv_64547", "predicate": "proves", "object": "we study a degenerate elliptic equation , proving existence results of distributional solutions in s"}
{"subject": "math:arxiv_64572", "predicate": "proves", "object": "it will be shown that according to theorems of k. menger , every neuron grid if identified with a cu"}
{"subject": "math:arxiv_64583", "predicate": "proves", "object": "we study the effects of phonon interaction on the superconducting pairing in the background of a d -"}
{"subject": "math:arxiv_64594", "predicate": "proves", "object": "we discuss the equation of state of neutron stars in the dense interior considering hyperons and the"}
{"subject": "math:arxiv_64599", "predicate": "proves", "object": "we consider the evolution of a scalar field coupled to curvature in topological black hole spacetime"}
{"subject": "math:arxiv_64603", "predicate": "proves", "object": "we investigate whether the generalized second law is valid , using two dimensional black hole spacet"}
{"subject": "math:arxiv_64615", "predicate": "proves", "object": "to take into account the temperature fluctuation in the planck distribution , we calculate convoluti"}
{"subject": "math:arxiv_64634", "predicate": "proves", "object": "the dark energy crossing of the cosmological constant boundary ( the transition between the quintess"}
{"subject": "math:arxiv_64649", "predicate": "proves", "object": "a new numerical method is presented to find full complex roots of a complex dispersion equation . fo"}
{"subject": "math:arxiv_64651", "predicate": "proves", "object": "we consider a model ( 100 ) interface between two @xmath0wave superconductors . by solving the bogol"}
{"subject": "math:arxiv_64654", "predicate": "proves", "object": "representations of two bridge knot groups in the isometry group of some complete riemannian 3-manifo"}
{"subject": "math:arxiv_64711", "predicate": "proves", "object": "we consider arbitrary - dimensional pseudo - riemannian spaces of signature @xmath0 . \n we introduce"}
{"subject": "math:arxiv_64713", "predicate": "proves", "object": "we present a family of equations of state within a quasiparticle model adjusted to lattice qcd and s"}
{"subject": "math:arxiv_64722", "predicate": "proves", "object": "prime number theorem asserts that ( at large @xmath0 ) the prime counting function @xmath1 is approx"}
{"subject": "math:arxiv_64735", "predicate": "proves", "object": "we provide an axiomatic characterization of information fusion , on the basis of which we define an "}
{"subject": "math:arxiv_64740", "predicate": "proves", "object": "a field - theory - based approach to pion photoproduction off the nucleon is used to derive a micros"}
{"subject": "math:arxiv_64746", "predicate": "proves", "object": "a new non - associative algebra for the quantization of strongly interacting fields is proposed . \n "}
{"subject": "math:arxiv_64754", "predicate": "proves", "object": "we consider a pure death process @xmath0 with death rates @xmath1 satisfying the condition @xmath2 o"}
{"subject": "math:arxiv_64759", "predicate": "proves", "object": "the knife - edge method is an established technique for profiling of even tightly focused light beam"}
{"subject": "math:arxiv_64765", "predicate": "proves", "object": "we study the elliptic genera of hyperkhler manifolds using the representation theory of @xmath0 supe"}
{"subject": "math:arxiv_64767", "predicate": "proves", "object": "this is the third article in the series begun with @xcite , devoted to finite - dimensional represen"}
{"subject": "math:arxiv_64806", "predicate": "proves", "object": "we consider a pair @xmath0 of stochastic processes satisfying the equation @xmath1 driven by a brown"}
{"subject": "math:arxiv_64810", "predicate": "proves", "object": "by means of quantum stochastic calculus we construct a model for an atom with two degenerate levels "}
{"subject": "math:arxiv_64817", "predicate": "proves", "object": "we uniquely determine the infrared asymptotics of green functions in landau gauge yang - mills theor"}
{"subject": "math:arxiv_64821", "predicate": "proves", "object": "gershgorin s famous circle theorem states that all eigenvalues of a square matrix lie in disks ( cal"}
{"subject": "math:arxiv_64823", "predicate": "proves", "object": "the current noise in a multi - probe mesoscopic conductor can have a nonlinear dependence on the str"}
{"subject": "math:arxiv_64840", "predicate": "proves", "object": "we consider the statistical properties of the local density of states of a one - dimensional dirac e"}
{"subject": "math:arxiv_64845", "predicate": "proves", "object": "we study the tripartite entanglement for a class of mixed states defined by the mixture of ghz and w"}
{"subject": "math:arxiv_64890", "predicate": "proves", "object": "the present paper considers an infinite family of cone - manifolds endowed with spherical metric . \n"}
{"subject": "math:arxiv_64894", "predicate": "proves", "object": "we investigate whether the floating phase ( where the correlation length is infinite and the spin - "}
{"subject": "math:arxiv_64899", "predicate": "proves", "object": "if a real value invariant of compact combinatorial manifolds ( with or without boundary ) depends on"}
{"subject": "math:arxiv_64915", "predicate": "proves", "object": "a numerical simulation is presented here of the evolution of initial data of the kind that was conje"}
{"subject": "math:arxiv_64947", "predicate": "proves", "object": "in this talk i will firstly review on the current constraints on the equation of state of the dark e"}
{"subject": "math:arxiv_64953", "predicate": "proves", "object": "within the multiple scattering formulation , the incoherent pion production in neutrino - deuteron r"}
{"subject": "math:arxiv_64958", "predicate": "proves", "object": "it is well - known that conformal embeddings can be used to construct non - diagonal modular invaria"}
{"subject": "math:arxiv_64960", "predicate": "proves", "object": "it is shown that the renormalization group turns to be a symmetry group in a theory initially formul"}
{"subject": "math:arxiv_64961", "predicate": "proves", "object": "this paper describes a multidimensional hydrodynamic code which can be used for studies of relativis"}
{"subject": "math:arxiv_64968", "predicate": "proves", "object": "correlated variations in the line and continuum emission from active galactic nuclei ( agn ) can be "}
{"subject": "math:arxiv_64969", "predicate": "proves", "object": "over the past years our understanding of the scaling properties of the solutions to the one - dimens"}
{"subject": "math:arxiv_64970", "predicate": "proves", "object": "we study the aj conjecture that relates the a - polynomial and the colored jones polynomial of a kno"}
{"subject": "math:arxiv_64988", "predicate": "proves", "object": "the underdamped langevin equation of motion of a particle , in a symmetric periodic potential and su"}
{"subject": "math:arxiv_64992", "predicate": "proves", "object": "the problem of two aharonov - bohm ( ab ) vortices for the helmholtz equation is examined in detail "}
{"subject": "math:arxiv_64993", "predicate": "proves", "object": "we find exact , analytic solutions of the klein - gordon equation for a scalar field in the backgrou"}
{"subject": "math:arxiv_64995", "predicate": "proves", "object": "we present a very simple model for the study of charge transport in a molecule patterned on b - dna "}
{"subject": "math:arxiv_65014", "predicate": "proves", "object": "this is a proof of an asymptotic formula which describes exponentially small splitting of separatric"}
{"subject": "math:arxiv_65050", "predicate": "proves", "object": "we study the role of bound states appearing in different formulations of the bethe ansatz for the su"}
{"subject": "math:arxiv_65060", "predicate": "proves", "object": "infrared evolution equations for small-@xmath0 behaviour of the non - singlet structure functions @x"}
{"subject": "math:arxiv_65072", "predicate": "proves", "object": "the mahler measures of certain polynomials of up to five variables are given in terms of multiple po"}
{"subject": "math:arxiv_65080", "predicate": "proves", "object": "the geometric phase requires the multivaluedness of solutions to fuchsian second - order equations ."}
{"subject": "math:arxiv_65089", "predicate": "proves", "object": "the eigenvalue equations for the energy of bound states of a particle in a square well are solved , "}
{"subject": "math:arxiv_65108", "predicate": "proves", "object": "we propose a simple model for a motor that generates mechanical motion by exploiting an entropic for"}
{"subject": "math:arxiv_65118", "predicate": "proves", "object": "a general class of nonlocal cosmological models is considered . a new method for solving nonlocal fr"}
{"subject": "math:arxiv_65126", "predicate": "proves", "object": "we study reconnections of quantum vortices by numerically solving the governing gross - pitaevskii e"}
{"subject": "math:arxiv_65135", "predicate": "proves", "object": "the maskin s theorem is a fundamental work in the theory of mechanism design . in this paper \n , we "}
{"subject": "math:arxiv_65138", "predicate": "proves", "object": "we investigate the effects of dust on ly@xmath0 photons emergent from an optically thick medium by s"}
{"subject": "math:arxiv_65142", "predicate": "proves", "object": "if the `` glue '' which binds quarks within hadrons takes the form of strings , then a virial theore"}
{"subject": "math:arxiv_65146", "predicate": "proves", "object": "using bernstein polynomial approximations , we prove the central limit theorem for linear spectral s"}
{"subject": "math:arxiv_65158", "predicate": "proves", "object": "the behaviour of the dirac field in frw space - time is investigated . \n the relevant equations are "}
{"subject": "math:arxiv_65166", "predicate": "proves", "object": "the incompressible navier \n stokes equations are re - formulated to involve an arbitrary time dilati"}
{"subject": "math:arxiv_65170", "predicate": "proves", "object": "small black holes in heterotic string theory have vanishing horizon area at the supergravity level ,"}
{"subject": "math:arxiv_65193", "predicate": "proves", "object": "the prisoner s dilemma has been a subject of extensive research due to its importance in understandi"}
{"subject": "math:arxiv_65194", "predicate": "proves", "object": "the inclination or @xmath0-lemma is one of two fundamental tools in finite dimensional hyperbolic dy"}
{"subject": "math:arxiv_65201", "predicate": "proves", "object": "in this paper we present a new formula relating stieltjes numbers @xmath0 and laurent coefficinets @"}
{"subject": "math:arxiv_65205", "predicate": "proves", "object": "we give a direct proof of the equivalence between the giambelli and pieri type formulas for hall - l"}
{"subject": "math:arxiv_65214", "predicate": "proves", "object": "we give an introduction to some of the recent ideas that go under the name `` geometric complexity t"}
{"subject": "math:arxiv_65231", "predicate": "proves", "object": "su(2 ) yang - mills theory at finite extension or , equivalently , at finite temperature is probed b"}
{"subject": "math:arxiv_65258", "predicate": "proves", "object": "sum rules for the spin dependent structure functions corresponding to the moment at @xmath0 derived "}
{"subject": "math:arxiv_65268", "predicate": "proves", "object": "this is the central article of a series of three papers on cross product bialgebras . \n we present a"}
{"subject": "math:arxiv_65305", "predicate": "proves", "object": "an exact solution of einstein s field equations in empty space first found in 1985 by quevedo and ma"}
{"subject": "math:arxiv_65309", "predicate": "proves", "object": "we describe a technique to obtain linear descriptions for polytopes from extended formulations . \n t"}
{"subject": "math:arxiv_65321", "predicate": "proves", "object": "* abstract.*the conformal method for constructing initial data for einstein s equations is presented"}
{"subject": "math:arxiv_65328", "predicate": "proves", "object": "we apply the worldline formalism to scalar quantum electrodynamics ( qed ) to find a bern - kosower "}
{"subject": "math:arxiv_65347", "predicate": "proves", "object": "we present a detailed proof of a previously announced result @xcite supporting the absence of multip"}
{"subject": "math:arxiv_65357", "predicate": "proves", "object": "we apply the finite - element lattice equations of motion for quantum electrodynamics given in the f"}
{"subject": "math:arxiv_65360", "predicate": "proves", "object": "we introduce a method to compare solutions of different equations in different domains . as a conseq"}
{"subject": "math:arxiv_65364", "predicate": "proves", "object": "this paper gives a geometric topological proof that exotic homotopy 3-spheres do not exist . \n # 1#2"}
{"subject": "math:arxiv_65367", "predicate": "proves", "object": "the largest class of riemannian almost product manifolds , which is closed with respect to the group"}
{"subject": "math:arxiv_65368", "predicate": "proves", "object": "answering the strong form of a question posed by beauville , we give a short geometric proof that an"}
{"subject": "math:arxiv_65374", "predicate": "proves", "object": "a generalized black - scholes equation is considered on the semi - axis . \n it is transformed on the"}
{"subject": "math:arxiv_65376", "predicate": "proves", "object": "for an observer in the hubble flow ( comoving frame ) the last scattering surface ( lss ) is well ap"}
{"subject": "math:arxiv_65380", "predicate": "proves", "object": "we investigate static spherically symmetric perfect fluid models in newtonian gravity for barotropic"}
{"subject": "math:arxiv_65391", "predicate": "proves", "object": "we propose a semi - discrete finite difference multiscale scheme for a concrete corrosion model cons"}
{"subject": "math:arxiv_65401", "predicate": "proves", "object": "the pulses that compose gamma - ray bursts ( grbs ) are hypothesized to have the same shape at all e"}
{"subject": "math:arxiv_65453", "predicate": "proves", "object": "in this paper we develop a new theory of infinitesimal harmonic deformations for compact hyperbolic "}
{"subject": "math:arxiv_65461", "predicate": "proves", "object": "we study a family of quadratic stochastic differential equations in the plane , motivated by applica"}
{"subject": "math:arxiv_65465", "predicate": "proves", "object": "we explain the motivation and main results of our work in ref .  . \n using the covariant formalism ,"}
{"subject": "math:arxiv_65471", "predicate": "proves", "object": "new generalized equations of motion for the weber - clebsch potentials that describe both the navier"}
{"subject": "math:arxiv_65482", "predicate": "proves", "object": "we re - examine the possibility that astrophysical jet collimation may arise from the geometry of ro"}
{"subject": "math:arxiv_65490", "predicate": "proves", "object": "we analyze the stability of stationary solutions of a singular vlasov type hydrodynamic equation ( h"}
{"subject": "math:arxiv_65499", "predicate": "proves", "object": "we derive a weighted @xmath0-estimate of the witten spinor in a complete riemannian spin manifold  @"}
{"subject": "math:arxiv_65502", "predicate": "proves", "object": "based on bayesian theorem an empirical baye s method is discussed . a programming chart for mass spe"}
{"subject": "math:arxiv_65507", "predicate": "proves", "object": "billey and braden defined a geometric pattern map on flag manifolds which extends the generalized pa"}
{"subject": "math:arxiv_65517", "predicate": "proves", "object": "splitting a solution of the wave equation in @xmath0 space dimensions into spherical harmonic compon"}
{"subject": "math:arxiv_65521", "predicate": "proves", "object": "recent measurements are suggesting that we live in a flat universe and that its present accelerating"}
{"subject": "math:arxiv_65527", "predicate": "proves", "object": "in this paper we present a rigorous asymptotic analysis for stochastic systems with two fast relaxat"}
{"subject": "math:arxiv_65532", "predicate": "proves", "object": "the coupled - channels density - matrix technique for nuclear reaction dynamics , which is based on "}
{"subject": "math:arxiv_65555", "predicate": "proves", "object": "the technique of adjoint cascade equations has been applied to calculate the properties of air showe"}
{"subject": "math:arxiv_65564", "predicate": "proves", "object": "a highly fluorinated anatase lattice has been recently reported , providing a new class of materials"}
{"subject": "math:arxiv_65578", "predicate": "proves", "object": "we exactly solve the ferromagnetic spin-@xmath0 ising model on the bethe lattice in the presence of "}
{"subject": "math:arxiv_65594", "predicate": "proves", "object": "we describe how the hardy - ramanujan - rademacher formula can be implemented to allow the partition"}
{"subject": "math:arxiv_65597", "predicate": "proves", "object": "this paper gives an algebraic characterization of alexander polynomials of equivariant ribbon knots "}
{"subject": "math:arxiv_65615", "predicate": "proves", "object": "we discuss resonances for a nonrelativistic and spinless quantum particle confined to a two- or thre"}
{"subject": "math:arxiv_65616", "predicate": "proves", "object": "we show how boundary conformal field theory deformation techniques allow for a complete characterisa"}
{"subject": "math:arxiv_65618", "predicate": "proves", "object": "using a physical renormalisation scheme we derive mass - dependent renormalisation group equations f"}
{"subject": "math:arxiv_65619", "predicate": "proves", "object": "the overlap formulation is applied to an anomaly free combination of chiral fermions coupled to u(1 "}
{"subject": "math:arxiv_65625", "predicate": "proves", "object": "nekrasov functions were conjectured in  @xcite to be related to exact bohr - sommerfeld periods of q"}
{"subject": "math:arxiv_65653", "predicate": "proves", "object": "an exact solution of the two center time - dependent dirac equation for pair production induced by u"}
{"subject": "math:arxiv_65667", "predicate": "proves", "object": "based on a recent proof of free choices in linking equations to the experiments they describe , i cl"}
{"subject": "math:arxiv_65668", "predicate": "proves", "object": "this note is an overview of the poisson sigma model ( psm ) and its applications in deformation quan"}
{"subject": "math:arxiv_65676", "predicate": "proves", "object": "it is shown that the magnetic energy of a quantum current , contrary to the classical case , is esse"}
{"subject": "math:arxiv_65685", "predicate": "proves", "object": "delay differential equations take into account the transmission time of the information . \n these de"}
{"subject": "math:arxiv_65690", "predicate": "proves", "object": "we consider an inverse problem for a lorentzian spacetime @xmath0 , and show that time measurements "}
{"subject": "math:arxiv_65695", "predicate": "proves", "object": "assuming the four - dimensional space - time to be a general warped product of two surfaces we reduc"}
{"subject": "math:arxiv_65711", "predicate": "proves", "object": "for an analytic function @xmath0 defined on the unit disk @xmath1 , let @xmath2 denote the area of t"}
{"subject": "math:arxiv_65722", "predicate": "proves", "object": "we derive an analytic evolution equation for overlap parameters , including the effect of degree dis"}
{"subject": "math:arxiv_65742", "predicate": "proves", "object": "keeping the exact general relativistic treatment of light bending as a reference , we compare the ac"}
{"subject": "math:arxiv_65762", "predicate": "proves", "object": "we initiate the study of hoava - lifshitz models of gravity in the framework of spectral geometry . "}
{"subject": "math:arxiv_65829", "predicate": "proves", "object": "the onset of quartetting , i.e. @xmath0-particle condensation , in symmetric nuclear matter is studi"}
{"subject": "math:arxiv_65839", "predicate": "proves", "object": "this paper extends the idea of e.gobet , j.p.lemor and x.warin from the setting of backward stochast"}
{"subject": "math:arxiv_65841", "predicate": "proves", "object": "we consider an application of pooled stepped chutes where the transport in each pooled step is descr"}
{"subject": "math:arxiv_65849", "predicate": "proves", "object": "the nonequilibrium total dielectric function lends itself to a simple and general method for calcula"}
{"subject": "math:arxiv_65850", "predicate": "proves", "object": "in this paper we describe a method for evolving the projected gross - pitaevskii equation ( pgpe ) f"}
{"subject": "math:arxiv_65852", "predicate": "proves", "object": "john bell is generally credited to have accomplished the remarkable  proof \" that any theory of phys"}
{"subject": "math:arxiv_65858", "predicate": "proves", "object": "the @xmath0 supersymmetric mkdv - b system is transformed to a system of coupled bosonic equations b"}
{"subject": "math:arxiv_65859", "predicate": "proves", "object": "large @xmath0 matrices can describe covariant derivatives in curved space . applying this interpreta"}
{"subject": "math:arxiv_65867", "predicate": "proves", "object": "recent observations seem to indicate that we live in a universe whose spatial sections are nearly or"}
{"subject": "math:arxiv_65889", "predicate": "proves", "object": "the time - varying gravitational field produced by a weber bar is used to explore mathematical featu"}
{"subject": "math:arxiv_65894", "predicate": "proves", "object": "for many classes of symplectic manifolds , the hamiltonian flow of a function with sufficiently larg"}
{"subject": "math:arxiv_65898", "predicate": "proves", "object": "this is an elementary exposition of the twisted group algebra representation of simple clifford alge"}
{"subject": "math:arxiv_65907", "predicate": "proves", "object": "we investigate the steady - state spin diffusion for ultracold spin - orbit coupled @xmath0k gas by "}
{"subject": "math:arxiv_65908", "predicate": "proves", "object": "we study the minimal number @xmath0 of contact charts that one needs to cover a closed connected con"}
{"subject": "math:arxiv_65926", "predicate": "proves", "object": "we formulate a superexchange theory of insulating double - perovskite compounds such as sr@xmath0few"}
{"subject": "math:arxiv_65930", "predicate": "proves", "object": "we use the fock space representation of the quantum affine algebra of type @xmath0 to obtain a descr"}
{"subject": "math:arxiv_65958", "predicate": "proves", "object": "the fluctuation - dissipation theorem is a central theorem in nonequilibrium statistical mechanics b"}
{"subject": "math:arxiv_65961", "predicate": "proves", "object": "we study maxwell s equations on a 4-manifold where the electromagnetic medium is modelled by an anti"}
{"subject": "math:arxiv_65995", "predicate": "proves", "object": "by solving the three - dimensional gross - pitaevskii equation we generate two - dimensional axially"}
{"subject": "math:arxiv_66007", "predicate": "proves", "object": "in this paper , we study the problem of computing the infimum of a real polynomial function @xmath0 "}
{"subject": "math:arxiv_66013", "predicate": "proves", "object": "we study on dynamics of high - order rogue wave in two - component coupled nonlinear schrdinger equa"}
{"subject": "math:arxiv_66015", "predicate": "proves", "object": "in this paper , we study a class of nonlocal dispersion equation with monostable nonlinearity in @xm"}
{"subject": "math:arxiv_66023", "predicate": "proves", "object": "a quantum theory of feedback of bosonic many - atom systems is formulated . \n the feedback - induced"}
{"subject": "math:arxiv_66038", "predicate": "proves", "object": "we construct new exact solutions to 5d einstein - maxwell equations describing sequences of kaluza -"}
{"subject": "math:arxiv_66039", "predicate": "proves", "object": "the dynamics of quasi - stationary states of long - range interacting systems with @xmath0 particles"}
{"subject": "math:arxiv_66047", "predicate": "proves", "object": "we analyze the long time behavior of a quantum computer running a quantum error correction ( qec ) c"}
{"subject": "math:arxiv_66050", "predicate": "proves", "object": "the propagation of solitary waves in a bragg grating formed by an array of thin nanostructured diele"}
{"subject": "math:arxiv_66056", "predicate": "proves", "object": "we calculate the stability diagram for a trapped normal fermi or bose gas with dipole - dipole inter"}
{"subject": "math:arxiv_66059", "predicate": "proves", "object": "we provide a concise exposition with original proofs of combinatorial formulas for the 2d ising mode"}
{"subject": "math:arxiv_66067", "predicate": "proves", "object": "we apply the subtracted kernel method ( skm ) , a renormalization approach based on recursive multip"}
{"subject": "math:arxiv_66068", "predicate": "proves", "object": "a recently introduced scheme for the renormalization of the hartree - fock - bogoliubov equations in"}
{"subject": "math:arxiv_66070", "predicate": "proves", "object": "the results of experiments on the formation of molecular hydrogen on low density and high density am"}
{"subject": "math:arxiv_66081", "predicate": "proves", "object": "the osmotic equation of state for the athermal bond fluctuation model on the simple cubic lattice is"}
{"subject": "math:arxiv_66103", "predicate": "proves", "object": "using the exact eigenstates of the inhomogeneous dicke model obtained by numerically solving the bet"}
{"subject": "math:arxiv_66108", "predicate": "proves", "object": "we make an adaptation of laser modelling equations to describe the behavior of a phonon laser ( sase"}
{"subject": "math:arxiv_66114", "predicate": "proves", "object": "given a collection of exact lagrangians in a liouville manifold , we construct a map from the hochsc"}
{"subject": "math:arxiv_66125", "predicate": "proves", "object": "we present an extension of nagaoka s theorem in the su(@xmath0 ) generalization of the infinite-@xma"}
{"subject": "math:arxiv_66137", "predicate": "proves", "object": "we apply the compactness results obtained in @xcite to prove existence and multiplicity results for "}
{"subject": "math:arxiv_66152", "predicate": "proves", "object": "we provide conditions for the existence and the uniqueness of strictly stationary solutions of the u"}
{"subject": "math:arxiv_66154", "predicate": "proves", "object": "within the framework of the covariant formulation of light - front dynamics , we develop a general n"}
{"subject": "math:arxiv_66165", "predicate": "proves", "object": "we survey several applications of fixed point theorems in the theory of invariant subspaces . \n the "}
{"subject": "math:arxiv_66178", "predicate": "proves", "object": "a new table of the nuclear equation of state ( eos ) based on realistic nuclear potentials is constr"}
{"subject": "math:arxiv_66179", "predicate": "proves", "object": "we will present a complete set of equations , in the form of an einstein - bianchi system , that des"}
{"subject": "math:arxiv_66185", "predicate": "proves", "object": "we present a theoretical analysis of the normal and superfluid fractions of quantum fluids described"}
{"subject": "math:arxiv_66194", "predicate": "proves", "object": "the purpose of this paper is to determine quantum master and filter equations for systems coupled to"}
{"subject": "math:arxiv_66226", "predicate": "proves", "object": "_ a banach algebra @xmath0 for which the natural embedding @xmath1 of @xmath0 into @xmath2 is bounde"}
{"subject": "math:arxiv_66245", "predicate": "proves", "object": "let @xmath0 be a hyperbolic manifold of finite volume which fibers over the circle with fiber a once"}
{"subject": "math:arxiv_66247", "predicate": "proves", "object": "in this paper , we investigate the long - time structure of the heat kernel on a riemannian manifold"}
{"subject": "math:arxiv_66258", "predicate": "proves", "object": "for any closed surface @xmath0 of genus @xmath1 , we show that the deformation space of marked hyper"}
{"subject": "math:arxiv_66266", "predicate": "proves", "object": "we prove that every strong symplectic filling of a planar contact manifold admits a symplectic lefsc"}
{"subject": "math:arxiv_66278", "predicate": "proves", "object": "we extend zirnbauer s color - flavor transformation in the bosonic sector to the color group su@xmat"}
{"subject": "math:arxiv_66279", "predicate": "proves", "object": "the fundamental question of how bose - einstein condensates tunnel into a barrier is addressed . \n t"}
{"subject": "math:arxiv_66286", "predicate": "proves", "object": "matrix models are a promising candidate for a nonperturbative formulation of the superstring theory "}
{"subject": "math:arxiv_66289", "predicate": "proves", "object": "in this paper , we study degenerate hopf bifurcations in a class of parametrized retarded functional"}
{"subject": "math:arxiv_66291", "predicate": "proves", "object": "systems of polynomial equations over the complex or real numbers can be used to model combinatorial "}
{"subject": "math:arxiv_66292", "predicate": "proves", "object": "this work characterizes global quotient stacks  smooth stacks associated to a finite group acting a "}
{"subject": "math:arxiv_66298", "predicate": "proves", "object": "we study the effect of the magnetic field geometry on the oscillation spectra of strongly magnetized"}
{"subject": "math:arxiv_66319", "predicate": "proves", "object": "we apply the asymptotic iteration method ( aim ) to obtain the solutions of schrdinger equation in t"}
{"subject": "math:arxiv_66346", "predicate": "proves", "object": "we solve the spherically symmetric time dependent relativistic euler equations on a schwarzschild ba"}
{"subject": "math:arxiv_66359", "predicate": "proves", "object": "we study the bi - hamiltonian structures for the hierarchy of a 3-component generalization of the de"}
{"subject": "math:arxiv_66370", "predicate": "proves", "object": "the separation problem asks for the minimum number @xmath0 of hyperplanes required to strictly separ"}
{"subject": "math:arxiv_66376", "predicate": "proves", "object": "we show the quarter of a century old conjecture that every @xmath0-free graph with @xmath1 vertices "}
{"subject": "math:arxiv_66386", "predicate": "proves", "object": "we study the dissociation of h@xmath0@xmath1 in uv laser pulses by solving the non - born - oppenhei"}
{"subject": "math:arxiv_66387", "predicate": "proves", "object": "we review some recent work in fast , efficient and accurate methods to compute viscosity solutions a"}
{"subject": "math:arxiv_66407", "predicate": "proves", "object": "an elementary treatment of the dirac equation in the presence of a three dimensional spherically sym"}
{"subject": "math:arxiv_66418", "predicate": "proves", "object": "we review kreimer s construction of a hopf algebra associated to the feynman graphs of a perturbativ"}
{"subject": "math:arxiv_66421", "predicate": "proves", "object": "it is shown that the tight - binding approximation of the nonlinear schrdinger equation with a perio"}
{"subject": "math:arxiv_66424", "predicate": "proves", "object": "let @xmath0 be a simple graph with no even cycle , called an odd - cycle graph . \n cavers et al . [ "}
{"subject": "math:arxiv_66428", "predicate": "proves", "object": "we present a first - principles derivation of the variational equations describing the dynamics of t"}
{"subject": "math:arxiv_66434", "predicate": "proves", "object": "we initiate a careful study of a generalized symmetric imprimitivity theory for commuting proper act"}
{"subject": "math:arxiv_66436", "predicate": "proves", "object": "in most heavy ion collision simulations involving relativistic hydrodynamics , the cooper - frye for"}
{"subject": "math:arxiv_66448", "predicate": "proves", "object": "from the axiom of the unrestricted repeatability of all experiments , bondi and gold ( also hoyle ) "}
{"subject": "math:arxiv_66450", "predicate": "proves", "object": "exact results are obtained for random walks on finite lattice tubes with a single source and absorbi"}
{"subject": "math:arxiv_66452", "predicate": "proves", "object": "we derive asymptotic formulae for central polynomial coefficients , a generalization of binomial coe"}
{"subject": "math:arxiv_66453", "predicate": "proves", "object": "when the gas of a magnetized filamentary cloud obeys a polytropic equation of state , gravitational "}
{"subject": "math:arxiv_66458", "predicate": "proves", "object": "effective stochastic equations for the continuous transitions of relativistic quantum fields inevita"}
{"subject": "math:arxiv_66469", "predicate": "proves", "object": "we will summarize the progress in understanding the changes in the vector meson spectral density in "}
{"subject": "math:arxiv_66474", "predicate": "proves", "object": "we consider two natural lagrangian intersection problems in the context of symplectic toric manifold"}
{"subject": "math:arxiv_66483", "predicate": "proves", "object": "morphoelastic rods are thin bodies which can grow and can change their intrinsic curvature and torsi"}
{"subject": "math:arxiv_66491", "predicate": "proves", "object": "we give the rectangle condition for strong irreducibility of heegaard splittings of @xmath0-manifold"}
{"subject": "math:arxiv_66506", "predicate": "proves", "object": "the master equation for a charged harmonic oscillator coupled to an electromagnetic reservoir is inv"}
{"subject": "math:arxiv_66520", "predicate": "proves", "object": "let @xmath0 be a smooth riemannian manifold which is the union of a compact part and a finite number"}
{"subject": "math:arxiv_66528", "predicate": "proves", "object": "dense matter as it can be found in core - collapse supernovae and neutron stars is expected to exhib"}
{"subject": "math:arxiv_66532", "predicate": "proves", "object": "let @xmath0 be the set of all standard young tableaux with @xmath1 cells and @xmath2 be melnikov s t"}
{"subject": "math:arxiv_66543", "predicate": "proves", "object": "we show that the relativistic effects are negligibly small in the non - linear density and velocity "}
{"subject": "math:arxiv_66549", "predicate": "proves", "object": "quintom models , with its equation of state being able to cross the cosmological constant boundary @"}
{"subject": "math:arxiv_66554", "predicate": "proves", "object": "using the variable phase method , we reformulate the dirac equation governing the charge carriers in"}
{"subject": "math:arxiv_66572", "predicate": "proves", "object": "we discuss a new ringdown frequency mode for vacuum perturbations of the kerr black hole . \n we evol"}
{"subject": "math:arxiv_66582", "predicate": "proves", "object": "the bethe - salpeter equation is used to comprehensively study mesons with @xmath0 and equal - mass "}
{"subject": "math:arxiv_66584", "predicate": "proves", "object": "recently [ phys . rev . \n b * * , 125433 ( 2015 ) ] we derived a general formula for the time - depe"}
{"subject": "math:arxiv_66592", "predicate": "proves", "object": "we present a new numerical system using classical finite elements with mesh adaptivity for computing"}
{"subject": "math:arxiv_66599", "predicate": "proves", "object": "we extract an invariant taking values in @xmath0 , which we call the _ order of algebraic torsion _ "}
{"subject": "math:arxiv_66616", "predicate": "proves", "object": "we present a method for solving the stochastic projected gross - pitaevskii equation ( spgpe ) for a"}
{"subject": "math:arxiv_66632", "predicate": "proves", "object": "we discuss a working approximation scheme to a recently developed formulation of the coupled @xmath0"}
{"subject": "math:arxiv_66667", "predicate": "proves", "object": "in this paper we demonstrate that two commonly used phenomenological post - markovian quantum master"}
{"subject": "math:arxiv_66682", "predicate": "proves", "object": "we continue to develop a new approach to description of charge kinetics in disordered semiconductors"}
{"subject": "math:arxiv_66705", "predicate": "proves", "object": "we construct the equation of state ( eos ) of nuclear matter at finite temperature and density with "}
{"subject": "math:arxiv_66721", "predicate": "proves", "object": "using a recursive solution of the yang - mills equation , we calculate analytic expressions for the "}
{"subject": "math:arxiv_66725", "predicate": "proves", "object": "keeping in mind the possibility of large @xmath0 , which will be soon explored by reactor and accele"}
{"subject": "math:arxiv_66735", "predicate": "proves", "object": "the purpose of this paper is to present a comparison between the modified nonlinear schrdinger ( mnl"}
{"subject": "math:arxiv_66742", "predicate": "proves", "object": "the gravity dual geometry of the plane wave matrix model is given by the bubbling geometry in the ty"}
{"subject": "math:arxiv_66743", "predicate": "proves", "object": "we investigate the structure of neutron star crusts , including the crust - core boundary , based on"}
{"subject": "math:arxiv_66746", "predicate": "proves", "object": "we state and prove a new closure theorem closely related to the classical closure theorems of poncel"}
{"subject": "math:arxiv_66750", "predicate": "proves", "object": "the dynamics of stability and collapse of a trapped atomic bose - einstein condensate ( bec ) couple"}
{"subject": "math:arxiv_66770", "predicate": "proves", "object": "we pose the problem to determine explicit defining equations of various elliptic fibrations on a giv"}
{"subject": "math:arxiv_66781", "predicate": "proves", "object": "starting from the static fukuyama  lee  rice equation for a three  dimensional incommensurate charge"}
{"subject": "math:arxiv_66790", "predicate": "proves", "object": "a kubo - greenwood - like equation for the gilbert damping parameter @xmath0 is presented that is ba"}
{"subject": "math:arxiv_66792", "predicate": "proves", "object": "we study the dynamics of the nambu - goto membranes with cohomogeneity one symmetry , i.e. , the mem"}
{"subject": "math:arxiv_66803", "predicate": "proves", "object": "we use the semi - classical boltzmann equation to investigate transport properties such as electrica"}
{"subject": "math:arxiv_66804", "predicate": "proves", "object": "the green function ( gf ) equation of motion technique for solving the effective two - band hubbard "}
{"subject": "math:arxiv_66825", "predicate": "proves", "object": "we study locking of the modulation frequency of a relative periodic orbit in a general @xmath0-equiv"}
{"subject": "math:arxiv_66830", "predicate": "proves", "object": "we consider the inverse problem of the reconstruction of the spatially distributed dielectric consta"}
{"subject": "math:arxiv_66835", "predicate": "proves", "object": "orbits of complete families of vector fields on a subcartesian space are shown to be smooth manifold"}
{"subject": "math:arxiv_66836", "predicate": "proves", "object": "in this article we study the dynamics of fermions in a fermion - scalar plasma . \n we begin by obtai"}
{"subject": "math:arxiv_66844", "predicate": "proves", "object": "we prove that the halperin - carlsson conjecture holds for any free @xmath0-action on a compact mani"}
{"subject": "math:arxiv_66848", "predicate": "proves", "object": "we calculate the effective potential for the vacuum gauge field from the one - loop matter effect in"}
{"subject": "math:arxiv_66862", "predicate": "proves", "object": "let @xmath0 be a sequence of transitive infinite connected graphs with @xmath1 where each @xmath2 is"}
{"subject": "math:arxiv_66872", "predicate": "proves", "object": "the excitonic spectra of single layer ges and gese are predicted by _ \n ab initio _ gw - bethe salpe"}
{"subject": "math:arxiv_66879", "predicate": "proves", "object": "we construct new examples of exceptional collections of line bundles on the variety of borel subgrou"}
{"subject": "math:arxiv_66896", "predicate": "proves", "object": "the line graph @xmath0 of a directed graph @xmath1 has a vertex for every edge of @xmath1 and an edg"}
{"subject": "math:arxiv_66907", "predicate": "proves", "object": "we show that the @xmath0 casson invariant for spliced sums along certain torus knots equals 16 times"}
{"subject": "math:arxiv_66914", "predicate": "proves", "object": "for a bosonic ( fermionic ) open system in a bath with many bosons ( fermions ) modes , we derive th"}
{"subject": "math:arxiv_66921", "predicate": "proves", "object": "we investigate the quantum hall effect ( qhe ) in a graphene sample with hall - bar geometry close t"}
{"subject": "math:arxiv_66924", "predicate": "proves", "object": "we have studied theoretically the flow of superfluid @xmath0he - a in parallel - plate geometry . th"}
{"subject": "math:arxiv_66925", "predicate": "proves", "object": "we study a nonlinear kinetic model of mass exchange between interacting grains . \n the transition ra"}
{"subject": "math:arxiv_66931", "predicate": "proves", "object": "we study the @xmath0 system in order to investigate the possibility of existence of strangeness + 1 "}
{"subject": "math:arxiv_66938", "predicate": "proves", "object": "for a given @xmath0^th^ root of unity @xmath1 , we give explicit formulas of a family of @xmath2-var"}
{"subject": "math:arxiv_66946", "predicate": "proves", "object": "discretization of non - linear poisson - boltzmann equation equations results in a system of non - l"}
{"subject": "math:arxiv_66969", "predicate": "proves", "object": "we use the numerical flow - equation renormalization method to study a nonlinear bath at low tempera"}
{"subject": "math:arxiv_66979", "predicate": "proves", "object": "i describe a class of oscillating bounce solutions to the euclidean field equations for gravity coup"}
{"subject": "math:arxiv_66988", "predicate": "proves", "object": "in this contribution to the conference `` beyond einstein : historical perspectives on geometry , gr"}
{"subject": "math:arxiv_66990", "predicate": "proves", "object": "we revisit the formulation of the principle of minimal flavor violation ( mfv ) in the minimal super"}
{"subject": "math:arxiv_66998", "predicate": "proves", "object": "we consider a stochastic version of the basic predator - prey differential equation model . \n the mo"}
{"subject": "math:arxiv_67005", "predicate": "proves", "object": "we formulate a bosonic dynamical mean - field theory ( b - dmft ) which provides a comprehensive , t"}
{"subject": "math:arxiv_67006", "predicate": "proves", "object": "the long - standing identification problem for causal effects in graphical models has many partial r"}
{"subject": "math:arxiv_67012", "predicate": "proves", "object": "the einstein equations for a perfect fluid spatially homogeneous spacetime are studied in a unified "}
{"subject": "math:arxiv_67031", "predicate": "proves", "object": "we study magneto - elastic effects in crystals of magnetic molecules . \n coupled equations of motion"}
{"subject": "math:arxiv_67047", "predicate": "proves", "object": "we present the evidence for two conjectures related to the twistor string . \n the first conjecture s"}
{"subject": "math:arxiv_67054", "predicate": "proves", "object": "we propose a more direct approach to constructing differential operators that preserve polynomial su"}
{"subject": "math:arxiv_67056", "predicate": "proves", "object": "following a recent conjecture by lapan , simons and strominger , we revisit and discuss an intrinsic"}
{"subject": "math:arxiv_67070", "predicate": "proves", "object": "the loop expansion for the n - point functions of @xmath0 yang - mills theory and @xmath1 supergravi"}
{"subject": "math:arxiv_67089", "predicate": "proves", "object": "the dynamics of the second order rational difference equation @xmath0 with the real parameter @xmath"}
{"subject": "math:arxiv_67109", "predicate": "proves", "object": "integrable systems , multidimensional consistency , lagrangians , symmetries multidimensional consis"}
{"subject": "math:arxiv_67112", "predicate": "proves", "object": "we give three determinantal expressions for the hilbert series as well as the hilbert function of a "}
{"subject": "math:arxiv_67119", "predicate": "proves", "object": "recent results in local regge calculus are confronted with spin foam formalism . \n introducing barre"}
{"subject": "math:arxiv_67145", "predicate": "proves", "object": "in an earlier paper , the authors introduced partial translation algebras as a generalisation of gro"}
{"subject": "math:arxiv_67168", "predicate": "proves", "object": "we solve the radiation - hydrodynamic ( rhd ) equations of supercritical accretion flows in the pres"}
{"subject": "math:arxiv_67169", "predicate": "proves", "object": "the global structure of optically thin advection dominated accretion flows which are composed of two"}
{"subject": "math:arxiv_67174", "predicate": "proves", "object": "using a unified macroscopic qed formalism , we derive an integral equation for the van der waals ene"}
{"subject": "math:arxiv_67193", "predicate": "proves", "object": "we present exact expressions for the sagnac effect of gdel s universe . for this purpose \n we first "}
{"subject": "math:arxiv_67199", "predicate": "proves", "object": "we study a sturm - liouville type eigenvalue problem for second - order differential equations on th"}
{"subject": "math:arxiv_67202", "predicate": "proves", "object": "in this work we find a new formula for matrix averages over the gaussian ensemble . \n let @xmath0 be"}
{"subject": "math:arxiv_67232", "predicate": "proves", "object": "the reliability and precision of numerically solving stochastic non - markovian equations by standar"}
{"subject": "math:arxiv_67245", "predicate": "proves", "object": "we address some aspects of four - dimensional chiral @xmath0 supersymmetric theories on which the sc"}
{"subject": "math:arxiv_67257", "predicate": "proves", "object": "we consider a class of ordinary differential equations describing one - dimensional quasi - periodic"}
{"subject": "math:arxiv_67300", "predicate": "proves", "object": "the dynamics of folding of proteins is studied by means of a phenomenological master equation . \n th"}
{"subject": "math:arxiv_67306", "predicate": "proves", "object": "employing the standard hard - scattering approach ( hsa ) in conjunction with the running - coupling"}
{"subject": "math:arxiv_67311", "predicate": "proves", "object": "adopting a purely two dimensional relativistic equation for graphene s carriers contradicts the heis"}
{"subject": "math:arxiv_67329", "predicate": "proves", "object": "we study a linear problem that arises in the study of dynamic boundaries , in particular in free bou"}
{"subject": "math:arxiv_67339", "predicate": "proves", "object": "we study the effects of isovector - scalar meson @xmath0 on the equation of state ( eos ) of neutron"}
{"subject": "math:arxiv_67348", "predicate": "proves", "object": "we study a transmission coefficient of graphene nanoribbons with a top gate which acts as an oblique"}
{"subject": "math:arxiv_67361", "predicate": "proves", "object": "landau - ginzburg mirror symmetry predicts isomorphisms between graded frobenius algebras ( denoted "}
{"subject": "math:arxiv_67364", "predicate": "proves", "object": "intense - field ionization of the hydrogen molecular ion by linearly - polarized light is modelled b"}
{"subject": "math:arxiv_67382", "predicate": "proves", "object": "plane wave solutions to the cubic nonlinear schrdinger equation on a torus have recently been shown "}
{"subject": "math:arxiv_67397", "predicate": "proves", "object": "we show that any semialgebraic set admits a semialgebraic triangulation such that each closed simple"}
{"subject": "math:arxiv_67398", "predicate": "proves", "object": "in previous articles we have investigated the firing properties of the standard hodgkin - huxley ( h"}
{"subject": "math:arxiv_67413", "predicate": "proves", "object": "the dependence of the vortex penetration and expulsion on the geometry of mesoscopic superconductors"}
{"subject": "math:arxiv_67439", "predicate": "proves", "object": "a brief review is given of the developments of msugra and its extensions since the formulation of th"}
{"subject": "math:arxiv_67441", "predicate": "proves", "object": "it has been proposed that the geometry of an extra dimension could automatically adjust itself to co"}
{"subject": "math:arxiv_67457", "predicate": "proves", "object": "we study a homopolymer model of a protein chain , where each monomer carries a dipole moment . to mi"}
{"subject": "math:arxiv_67470", "predicate": "proves", "object": "we study the @xmath0-yamabe constants of riemannian products @xmath1 , where @xmath2 is a compact ri"}
{"subject": "math:arxiv_67480", "predicate": "proves", "object": "we study homogeneous and isotropic cosmologies in a weyl spacetime . we show that for homogeneous an"}
{"subject": "math:arxiv_67485", "predicate": "proves", "object": "we give a rigorous derivation of the general - relativistic formula for the two - way doppler tracki"}
{"subject": "math:arxiv_67495", "predicate": "proves", "object": "we discuss how we formulate time evolution of physical quantities in the framework of the rigged qed"}
{"subject": "math:arxiv_67543", "predicate": "proves", "object": "the scalar wave equation is considered in the background of a charged vaidya metric in double null c"}
{"subject": "math:arxiv_67546", "predicate": "proves", "object": "a hermite type formula is introduced and used to study the zeta function over the real and complex @"}
{"subject": "math:arxiv_67570", "predicate": "proves", "object": "we construct general relativistic models of stationary , strongly magnetized neutron stars . \n the m"}
{"subject": "math:arxiv_67590", "predicate": "proves", "object": "the present study deals with a spatially homogeneous and anisotropic bianchi - ii cosmological model"}
{"subject": "math:arxiv_67595", "predicate": "proves", "object": "this note concerns the nodal sets of eigenfunctions of semiclassical schrdinger operators acting on "}
{"subject": "math:arxiv_67596", "predicate": "proves", "object": "for the gauss sums which are defined by @xmath0 stechkin  ( 1975 ) conjectured that the quantity @xm"}
{"subject": "math:arxiv_67598", "predicate": "proves", "object": "the boson mass spectrum of the electro - weak * @xmath0 * model with exotic electric charges is inve"}
{"subject": "math:arxiv_67604", "predicate": "proves", "object": "we estimate the error in the semiclassical trace formula for the sinai billiard under the assumption"}
{"subject": "math:arxiv_67610", "predicate": "proves", "object": "in this paper we propose equations of motion for the dynamics of liquid films of surfactant suspensi"}
{"subject": "math:arxiv_67617", "predicate": "proves", "object": "acoustic perturbations in an expanding hadronic fluid at temperatures below the chiral transition po"}
{"subject": "math:arxiv_67618", "predicate": "proves", "object": "this paper initiates the study of topological arbiters , a concept rooted in poincar - lefschetz dua"}
{"subject": "math:arxiv_67634", "predicate": "proves", "object": "we consider the dynamics of two interacting lumps / solitons in a noncommutative gauge model . we sh"}
{"subject": "math:arxiv_67638", "predicate": "proves", "object": "we reformulate the statement of the feit - thompson theorem in terms of diagrams in the category of "}
{"subject": "math:arxiv_67666", "predicate": "proves", "object": "we find the microstates free entropy dimension of a large class of @xmath0$]circular operators , in "}
{"subject": "math:arxiv_67680", "predicate": "proves", "object": "in this paper we examine iterative methods for solving the forward ( @xmath0 ) and adjoint ( @xmath1"}
{"subject": "math:arxiv_67682", "predicate": "proves", "object": "the existence of a new ultraviolet scale @xmath0 for effective theories with gravity and @xmath1 gau"}
{"subject": "math:arxiv_67688", "predicate": "proves", "object": "bogomolnyi - prasad - sommerfield solitons in models with spontaneously broken gauge symmetry have b"}
{"subject": "math:arxiv_67696", "predicate": "proves", "object": "chemical kinetic models in terms of ordinary differential equations correspond to finite dimensional"}
{"subject": "math:arxiv_67703", "predicate": "proves", "object": "we consider black @xmath0-brane solutions of the low energy string action , computing scalar perturb"}
{"subject": "math:arxiv_67704", "predicate": "proves", "object": "in this paper , we will develop an iterative procedure to determine the detailed asymptotic behaviou"}
{"subject": "math:arxiv_67708", "predicate": "proves", "object": "for an odd integer @xmath0 , let @xmath1 denote the family of all odd cycles of length at most @xmat"}
{"subject": "math:arxiv_67715", "predicate": "proves", "object": "in this paper , we study the properties and thermodynamic stability of the plane symmetry black hole"}
{"subject": "math:arxiv_67729", "predicate": "proves", "object": "we review the observational evidence for geodetic precession in psr b1913 + 16 and present the lates"}
{"subject": "math:arxiv_67737", "predicate": "proves", "object": "under certain conditions the number of photons radiated classically by a charged particle following "}
{"subject": "math:arxiv_67774", "predicate": "proves", "object": "rigorous coupled spin - charge drift - diffusion equations are derived from quantum - kinetic equati"}
{"subject": "math:arxiv_67789", "predicate": "proves", "object": "for a finite subgroup @xmath0 of the special unitary group @xmath1 , we study the centralizer algebr"}
{"subject": "math:arxiv_67793", "predicate": "proves", "object": "many machine learning tasks can be formulated in terms of predicting structured outputs . in framewo"}
{"subject": "math:arxiv_67795", "predicate": "proves", "object": "in this paper we describe algebraic and diagrammatic methods , related to the mhv generating functio"}
{"subject": "math:arxiv_67807", "predicate": "proves", "object": "we study ( bi)simulation - like preorder / equivalence checking on visibly pushdown automata , visib"}
{"subject": "math:arxiv_67826", "predicate": "proves", "object": "inverse boundary value problems for the radiative transport equation play important roles in optics "}
{"subject": "math:arxiv_67832", "predicate": "proves", "object": "we study a general theory of phonon lasing [ i. s. grudinin _ et al . \n _ , phys . \n rev . \n lett . "}
{"subject": "math:arxiv_67848", "predicate": "proves", "object": "we compute model atmospheres and emergent spectra for low field ( @xmath0 g ) neutron stars , using "}
{"subject": "math:arxiv_67866", "predicate": "proves", "object": "the second painlev equation with a large parameter ( @xmath0 ) is analyzed by using the exact wkb an"}
{"subject": "math:arxiv_67867", "predicate": "proves", "object": "we review recent progress in theory and computation for the novikov - veselov ( nv ) equation with p"}
{"subject": "math:arxiv_67870", "predicate": "proves", "object": "effective hamiltonian for the kicked double well system was derived using the campbell - baker - hau"}
{"subject": "math:arxiv_67871", "predicate": "proves", "object": "the anomalous scaling exponents @xmath0 of the longitudinal structure functions @xmath1 for homogene"}
{"subject": "math:arxiv_67879", "predicate": "proves", "object": "+ we use the jeans equations for an ensemble of collisionless particles to describe the distribution"}
{"subject": "math:arxiv_67902", "predicate": "proves", "object": "we numerically solve fully ( 3 + 1)-dimensional relativistic hydrodynamical equation with the baryon"}
{"subject": "math:arxiv_67903", "predicate": "proves", "object": "let @xmath0 . \n previously we have found all rational solutions of the @xmath1-dimensional projectiv"}
{"subject": "math:arxiv_67912", "predicate": "proves", "object": "we prove the existence of solitary waves in the kdv limit of two - dimensional fpu - type lattices u"}
{"subject": "math:arxiv_67916", "predicate": "proves", "object": "the theory of ferromagnetic @xmath0-junction near the critical temperature is presented . \n it is de"}
{"subject": "math:arxiv_67918", "predicate": "proves", "object": "the problem of the quantum - limited or intrinsic linewidth of a good - cavity laser is revisited . "}
{"subject": "math:arxiv_67957", "predicate": "proves", "object": "a mesoscopic system of cylindrical geometry made of a metal or a semiconductor is shown to exhibit f"}
{"subject": "math:arxiv_67961", "predicate": "proves", "object": "formulas about the side lengths , diagonal lengths or radius of the circumcircle of a cyclic polygon"}
{"subject": "math:arxiv_67978", "predicate": "proves", "object": "we illustrate the constraints that a possible detection of a non - trivial spatial topology may plac"}
{"subject": "math:arxiv_67984", "predicate": "proves", "object": "statistical mechanics of 1d multivalent coulomb gas may be mapped onto non - hermitian quantum mecha"}
{"subject": "math:arxiv_67986", "predicate": "proves", "object": "we developp a calculus of variations for functionals which are defined on a set of non differentiabl"}
{"subject": "math:arxiv_68002", "predicate": "proves", "object": "we present a quantum - mechanical study of the exothermic @xmath0lih reaction with h. accurate react"}
{"subject": "math:arxiv_68016", "predicate": "proves", "object": "in this paper we present the set of intervals as a normed vector space . \n we define also a four - d"}
{"subject": "math:arxiv_68022", "predicate": "proves", "object": "we formulate and numerically test the schrdinger functional scheme for domain - wall qcd . \n we then"}
{"subject": "math:arxiv_68026", "predicate": "proves", "object": "starting from the addition formula for little @xmath0-jacobi polynomials , we derive a new addition "}
{"subject": "math:arxiv_68030", "predicate": "proves", "object": "evolutionary prisoner s dilemma games are studied with players located on square lattice and random "}
{"subject": "math:arxiv_68045", "predicate": "proves", "object": "this paper is devoted to study the dynamical behavior of thin - shell composed of perfect fluid by c"}
{"subject": "math:arxiv_68080", "predicate": "proves", "object": "we analyze the fluctuations of nielsen - olesen vortices arising in the six - dimensional abelian - "}
{"subject": "math:arxiv_68081", "predicate": "proves", "object": "we consider a cauchy problem for stochastic heat equation driven by a real harmonizable fractional s"}
{"subject": "math:arxiv_68087", "predicate": "proves", "object": "we study the hartree ground state of a dipolar condensate of atoms or molecules in an three - dimens"}
{"subject": "math:arxiv_68096", "predicate": "proves", "object": "we report new results for the elastic constants studied in faraday and cotton - mouton geometry in t"}
{"subject": "math:arxiv_68098", "predicate": "proves", "object": "the langevin equation for cooperative dynamics represents the dynamics of polymer melts with chains "}
{"subject": "math:arxiv_68106", "predicate": "proves", "object": "attempts at cloning a quantum system result in the introduction of imperfections in the state of the"}
{"subject": "math:arxiv_68107", "predicate": "proves", "object": "we present a computational investigation of thin viscoelastic films and drops on a solid substrate s"}
{"subject": "math:arxiv_68127", "predicate": "proves", "object": "in order to study large variations or fluctuations of finite or infinite sequences ( time series ) ,"}
{"subject": "math:arxiv_68154", "predicate": "proves", "object": "the diagonal metric tensor whose components are functions of one spatial coordinate is considered . "}
{"subject": "math:arxiv_68161", "predicate": "proves", "object": "we study a kinetic mean - field equation for a system of particles with different sizes , in which p"}
{"subject": "math:arxiv_68173", "predicate": "proves", "object": "in order to describe forward hadron productions in high - energy nuclear collisions , we propose a m"}
{"subject": "math:arxiv_68193", "predicate": "proves", "object": "we develop a new discrete mathematical model which includes the classical sudoku puzzle , latin squa"}
{"subject": "math:arxiv_68269", "predicate": "proves", "object": "we adapt the notion of generating functions for lagrangian submanifolds to symplectic microgeometry "}
{"subject": "math:arxiv_68290", "predicate": "proves", "object": "we consider a class of discrete time stochastic control problems motivated by some financial applica"}
{"subject": "math:arxiv_68309", "predicate": "proves", "object": "deciding whether an ideal of a number field is principal and finding a generator is a fundamental pr"}
{"subject": "math:arxiv_68337", "predicate": "proves", "object": "in this paper , we define new unfitted finite element methods for numerically approximating the solu"}
{"subject": "math:arxiv_68339", "predicate": "proves", "object": "this paper describes a collaboration between a mathematician and a compositionist who developed a se"}
{"subject": "math:arxiv_68359", "predicate": "proves", "object": "we present algorithms to classify isolated hypersurface singularities over the real numbers accordin"}
{"subject": "math:arxiv_68361", "predicate": "proves", "object": "bell s theorem applies to the normalizable approximations of the original einstein - podolsky - rose"}
{"subject": "math:arxiv_68370", "predicate": "proves", "object": "we study models for surface growth with a wetting and a roughening transition using simple and pair "}
{"subject": "math:arxiv_68378", "predicate": "proves", "object": "we study the coupled rotational diffusion in a two - particle chain on the basis of a smoluchowski e"}
{"subject": "math:arxiv_68405", "predicate": "proves", "object": "in this work we solve the nonlinear second order differential equation of the simple pendulum with a"}
{"subject": "math:arxiv_68412", "predicate": "proves", "object": "we study the geometry of the space of densities @xmath0 , which is the quotient space @xmath1 of the"}
{"subject": "math:arxiv_68418", "predicate": "proves", "object": "we give a local proof of an index theorem for a dirac - type operator that is invariant with respect"}
{"subject": "math:arxiv_68423", "predicate": "proves", "object": "we calculate inter - meson potentials numerically by solving classical equations of motion derived f"}
{"subject": "math:arxiv_68431", "predicate": "proves", "object": "we study the reaction front for the process @xmath0 in which the reagents move subdiffusively . our "}
{"subject": "math:arxiv_68440", "predicate": "proves", "object": "we investigate the three - body system of @xmath0 by using the fixed - center approximation to the f"}
{"subject": "math:arxiv_68441", "predicate": "proves", "object": "we extend the hertz - millis theory of quantum phase transitions in itinerant electron systems to ph"}
{"subject": "math:arxiv_68446", "predicate": "proves", "object": "we present the scheme that allows for efficient calculations of forces in the framework of pseudopot"}
{"subject": "math:arxiv_68448", "predicate": "proves", "object": "swimming at small reynolds number of a collinear assembly of identical spheres immersed in an incomp"}
{"subject": "math:arxiv_68454", "predicate": "proves", "object": "macmahon proved a simple product formula for the generating function of the plane partitions fitting"}
{"subject": "math:arxiv_68459", "predicate": "proves", "object": "a 3-d coronal magnetic field is reconstructed for the noaa active region 11158 on february 14 , 2011"}
{"subject": "math:arxiv_68467", "predicate": "proves", "object": "the spin torque assisted thermal switching of the single free layer was studied theoretically . base"}
{"subject": "math:arxiv_68481", "predicate": "proves", "object": "i briefly outline a new physical interpretation to the average cosmological parameters for an inhomo"}
{"subject": "math:arxiv_68485", "predicate": "proves", "object": "we present a new approach to obtaining the scaling behavior of the entanglement entropy in fractiona"}
{"subject": "math:arxiv_68493", "predicate": "proves", "object": "we consider the asymptotic method designed by f. olver [ olver , 1974 ] for linear differential equa"}
{"subject": "math:arxiv_68498", "predicate": "proves", "object": "we formulate a scale - invariant hidden local symmetry ( hls ) as a low - energy effective theory of"}
{"subject": "math:arxiv_68499", "predicate": "proves", "object": "we complete the classical schoenberg representation theorem for radial positive definite functions ."}
{"subject": "math:arxiv_68519", "predicate": "proves", "object": "it is shown that every nonsingular continuous representation of the group algebra @xmath0 in banach "}
{"subject": "math:arxiv_68522", "predicate": "proves", "object": "we develop and defend the thesis that the hilbert space formalism of quantum mechanics is a new theo"}
{"subject": "math:arxiv_68524", "predicate": "proves", "object": "in this letter , we developed an algebraic formulation for the generalized thermal coherent states w"}
{"subject": "math:arxiv_68553", "predicate": "proves", "object": "in this article we consider a version of the geography question for simply - connected symplectic 4-"}
{"subject": "math:arxiv_68560", "predicate": "proves", "object": "an earlier calculation in a generalized linear sigma model showed that the well - known current alge"}
{"subject": "math:arxiv_68568", "predicate": "proves", "object": "in order to describe the dynamics of monochromatic surface waves in deep water , we derive a nonline"}
{"subject": "math:arxiv_68580", "predicate": "proves", "object": "the paper analyzes a two - grid and a multigrid method for matrices belonging to the dct - iii algeb"}
{"subject": "math:arxiv_68589", "predicate": "proves", "object": "we derive the master equation of a system of two coupled qubits by taking into account their interac"}
{"subject": "math:arxiv_68598", "predicate": "proves", "object": "the dipole and the dglap approximations are combined with the @xmath0 factorization theorem to demon"}
{"subject": "math:arxiv_68605", "predicate": "proves", "object": "saturation properties and liquid - gas phase transition of nucleus are analysed in the framework of "}
{"subject": "math:arxiv_68616", "predicate": "proves", "object": "temporal analysis of radiation from astrophysical sources like active galactic nuclei , x - ray bina"}
{"subject": "math:arxiv_68619", "predicate": "proves", "object": "[ [ abstract . ] ] abstract . \n + + + + + + + + +    we study first order linear partial differentia"}
{"subject": "math:arxiv_68626", "predicate": "proves", "object": "in this contribution , a stochastic theory for a branching process in a neutron population with two "}
{"subject": "math:arxiv_68638", "predicate": "proves", "object": "we present a program to simulate the dynamics of a wave packet interacting with a time - dependent p"}
{"subject": "math:arxiv_68724", "predicate": "proves", "object": "we consider a simple initial - boundary - value problem for the shallow water equations in one space"}
{"subject": "math:arxiv_68738", "predicate": "proves", "object": "we present a dual - trap optical tweezers setup which directly measures forces using linear momentum"}
{"subject": "math:arxiv_68778", "predicate": "proves", "object": "in this paper we present a fully deterministic method for the numerical solution to the boltzmann eq"}
{"subject": "math:arxiv_68780", "predicate": "proves", "object": "we introduce a new class of fokker - planck equations associated with an effective generalized therm"}
{"subject": "math:arxiv_68786", "predicate": "proves", "object": "in proofs of @xmath0-differentiability , lebesgue densities of a central distribution are often assu"}
{"subject": "math:arxiv_68789", "predicate": "proves", "object": "in this article , we give a brief informal introduction to malliavin calculus for newcomers . \n we a"}
{"subject": "math:arxiv_68817", "predicate": "proves", "object": "we propose a genetic - algorithm - based method to find the unitary transformations for any desired "}
{"subject": "math:arxiv_68825", "predicate": "proves", "object": "in this paper we re - analyse the amplification process of broadband continuum radiation by astronom"}
{"subject": "math:arxiv_68833", "predicate": "proves", "object": "we prove a discrete gauss - bonnet - chern theorem @xmath0 for finite graphs @xmath1 , where @xmath2"}
{"subject": "math:arxiv_68841", "predicate": "proves", "object": "in this paper , we prove existence of symmetric homoclinic orbits for the suspension bridge equation"}
{"subject": "math:arxiv_68867", "predicate": "proves", "object": "we derive a nonlinear schrodinger equation with a radical term , @xmath0 , as an asymptotic model of"}
{"subject": "math:arxiv_68877", "predicate": "proves", "object": "the weak convergence theorems of the one- and two - dimensional simple quantum walks , sqw@xmath0 , "}
{"subject": "math:arxiv_68879", "predicate": "proves", "object": "surfaces of revolution in three - dimensional euclidean space are considered . \n several new example"}
{"subject": "math:arxiv_68881", "predicate": "proves", "object": "in a consistently formulated pqcd framework incorporating non - zero mass heavy quark partons , ther"}
{"subject": "math:arxiv_68895", "predicate": "proves", "object": "in this paper we exhibit infinite families of embedded tori in 4-manifolds that are topologically is"}
{"subject": "math:arxiv_68929", "predicate": "proves", "object": "we report about the results of the application of modern computer algebra tools for construction of "}
{"subject": "math:arxiv_68934", "predicate": "proves", "object": "we investigate cut - elimination and cut - simulation in impredicative ( higher - order ) logics . \n"}
{"subject": "math:arxiv_68942", "predicate": "proves", "object": "the work of oh and park ( [ op ] ) on the deformation problem of coisotropic submanifolds opened the"}
{"subject": "math:arxiv_68955", "predicate": "proves", "object": "in many social dilemmas , individuals tend to generate a situation with low payoffs instead of a sys"}
{"subject": "math:arxiv_68958", "predicate": "proves", "object": "starting from a simple microscopic model , we have derived a kinetic equation for the matrix distrib"}
{"subject": "math:arxiv_68972", "predicate": "proves", "object": "schlesinger transformations are algebraic transformations of a fuchsian system that preserve its mon"}
{"subject": "math:arxiv_68989", "predicate": "proves", "object": "this work is aimed by the spirit of 1946 moran s theorem , which ensures that both the box and the h"}
{"subject": "math:arxiv_68990", "predicate": "proves", "object": "we study the vortex nucleation in a finite bose - einstein condensate . using a set of non - local a"}
{"subject": "math:arxiv_68992", "predicate": "proves", "object": "when the euler equations for shallow water are taken to the next order , beyond kdv , momentum and e"}
{"subject": "math:arxiv_69019", "predicate": "proves", "object": "we calculate the phase diagram of an integrable anisotropic 3-leg quantum spin tube connected to the"}
{"subject": "math:arxiv_69029", "predicate": "proves", "object": "confined excitonic complexes in two dimensions , consisting of @xmath0 electrons and @xmath1 holes ,"}
{"subject": "math:arxiv_69030", "predicate": "proves", "object": "we present a simple approach for finding @xmath0-soliton solution and the corresponding jost solutio"}
{"subject": "math:arxiv_69038", "predicate": "proves", "object": "we study work fluctuation theorems for oscillators in non - markovian heat baths . by calculating th"}
{"subject": "math:arxiv_69045", "predicate": "proves", "object": "renormalization group method is one of the most powerful tool to obtain approximate solutions to dif"}
{"subject": "math:arxiv_69048", "predicate": "proves", "object": "the rich theory of coxeter groups is used to provide an algebraic construction of finite volume hype"}
{"subject": "math:arxiv_69068", "predicate": "proves", "object": "the melnikov equation is a ( 2 + 1 ) dimensional nonlinear evolution equation admitting boomeron typ"}
{"subject": "math:arxiv_69071", "predicate": "proves", "object": "in this paper we prove a function field version of a theorem by rudnick and soundararajan about lowe"}
{"subject": "math:arxiv_69073", "predicate": "proves", "object": "a self - consistent formulation is proposed to generalize the hf scheme with the incorporation of sc"}
{"subject": "math:arxiv_69075", "predicate": "proves", "object": "a case - free proof is given that the entries of the @xmath0-vector of the cluster complex @xmath1 ,"}
{"subject": "math:arxiv_69078", "predicate": "proves", "object": "we introduce and analyze a spectral vanishing viscosity approximation of periodic fractional conserv"}
{"subject": "math:arxiv_69089", "predicate": "proves", "object": "we probe the time dependence of the dark energy equation of state ( eos ) in light of three - year w"}
{"subject": "math:arxiv_69094", "predicate": "proves", "object": "a piecewise constant curvature manifold is a triangulated manifold that is assigned a geometry by sp"}
{"subject": "math:arxiv_69119", "predicate": "proves", "object": "a rainbow - ladder truncation of qcd s dyson - schwinger equations is used to calculate @xmath0- and"}
{"subject": "math:arxiv_69122", "predicate": "proves", "object": "in [ gwiazda , jamrz , marciniak - czochra 2012 ] a framework for studying cell differentiation proc"}
{"subject": "math:arxiv_69125", "predicate": "proves", "object": "in general , the field equations of @xmath0 theory coupled to a matter field are very complicated an"}
{"subject": "math:arxiv_69133", "predicate": "proves", "object": "in this paper we investigate the entanglement nature of quantum states generated by grover s search "}
{"subject": "math:arxiv_69144", "predicate": "proves", "object": "we construct a generalized darboux transformation ( gdt ) of a general coupled nonlinear schrdinger "}
{"subject": "math:arxiv_69145", "predicate": "proves", "object": "we study stability estimates for the almost extremal functions associated with the @xmath0-bound for"}
{"subject": "math:arxiv_69162", "predicate": "proves", "object": "the reduced norm - one group @xmath0 of a central simple algebra is an inner form of the special lin"}
{"subject": "math:arxiv_69166", "predicate": "proves", "object": "this paper considers matrix convex sets invariant under several types of rotations . \n it is known t"}
{"subject": "math:arxiv_69171", "predicate": "proves", "object": "motivated by applications in databases , this paper considers various fragments of the calculus of b"}
{"subject": "math:arxiv_69184", "predicate": "proves", "object": "we establish an algorithm that produces a new solution to the einstein field equations , with an ani"}
{"subject": "math:arxiv_69193", "predicate": "proves", "object": "it is tempting to raise the issue of ( metric ) chaos in general relativity since the einstein equat"}
{"subject": "math:arxiv_69201", "predicate": "proves", "object": "in this work we construct gaussian beam approximations to solutions of the high frequency helmholtz "}
{"subject": "math:arxiv_69217", "predicate": "proves", "object": "a new class of the constrained monte carlo ( cmc ) algorithms for the qcd evolution equation was rec"}
{"subject": "math:arxiv_69223", "predicate": "proves", "object": "a central problem of quantitative finance is that of formulating a probabilistic model of the time e"}
{"subject": "math:arxiv_69231", "predicate": "proves", "object": "we classify all the six derivative lagrangians of gravity , whose traced field equations are of seco"}
{"subject": "math:arxiv_69246", "predicate": "proves", "object": "we formulate the higher covariant derivative regularization for @xmath0 supersymmetric gauge theorie"}
{"subject": "math:arxiv_69252", "predicate": "proves", "object": "elementary geometric arguments are used to compute the group of homotopy classes of maps from a @xma"}
{"subject": "math:arxiv_69253", "predicate": "proves", "object": "in this paper , we investigate the statefinder , the deceleration and equation of state parameters w"}
{"subject": "math:arxiv_69273", "predicate": "proves", "object": "a ` quantum inequality ' ( a conjectured relation between the energy density of a free quantum field"}
{"subject": "math:arxiv_69296", "predicate": "proves", "object": "in this paper we present a detailed formulation for a recently proposed effective field theory to de"}
{"subject": "math:arxiv_69315", "predicate": "proves", "object": "in order to obtain the best - known guarantees , algorithms are traditionally tailored to the partic"}
{"subject": "math:arxiv_69345", "predicate": "proves", "object": "we introduced least absolute shrinkage and selection operator ( lasso ) in obtaining periodic signal"}
{"subject": "math:arxiv_69357", "predicate": "proves", "object": "= 0.6 cm we present the exact @xmath0 correction to the process @xmath1 in the low angle luminosity "}
{"subject": "math:arxiv_69393", "predicate": "proves", "object": "we use the 2pi effective action of a relativistic scalar field theory to derive kinetic equations fo"}
{"subject": "math:arxiv_69427", "predicate": "proves", "object": "the self energy of @xmath0-baryon is evaluated at finite temperature and density using the real time"}
{"subject": "math:arxiv_69444", "predicate": "proves", "object": "we analyze irreducible plane sextics whose fundamental group factors to  @xmath0 . \n we produce expl"}
{"subject": "math:arxiv_69445", "predicate": "proves", "object": "we study the time dependent hartree equation in the continuum , the semidiscrete , and the fully dis"}
{"subject": "math:arxiv_69469", "predicate": "proves", "object": "we obtain two formulae for the higher frobenius - schur indicators : one for a spherical fusion cate"}
{"subject": "math:arxiv_69474", "predicate": "proves", "object": "we develop electrochemical mean - field kinetic equations ( emfke ) to simulate electrochemical cell"}
{"subject": "math:arxiv_69482", "predicate": "proves", "object": "we propose a deterministic weighted scale - free small - world model for considering pseudofractal w"}
{"subject": "math:arxiv_69503", "predicate": "proves", "object": "the late - time tail behavior of massive dirac fields is investigated in the schwarzschild black - h"}
{"subject": "math:arxiv_69507", "predicate": "proves", "object": "the internet topology at the autonomous systems level ( as graph ) has a power  law degree distribut"}
{"subject": "math:arxiv_69517", "predicate": "proves", "object": "we present a unitary relativistic quasi - potential model for describing the low - energy @xmath0 in"}
{"subject": "math:arxiv_69520", "predicate": "proves", "object": "stochastic differential equations are often simulated with the monte carlo euler method . convergenc"}
{"subject": "math:arxiv_69522", "predicate": "proves", "object": "we investigate the long - time asymptotics for the focusing integrable discrete nonlinear schrdinger"}
{"subject": "math:arxiv_69534", "predicate": "proves", "object": "this paper gives sufficient conditions for a class of bang - bang extremals with multiple switches t"}
{"subject": "math:arxiv_69542", "predicate": "proves", "object": "we propose an unified theory for spinor fields on extended weyl manifolds taking into account self -"}
{"subject": "math:arxiv_69546", "predicate": "proves", "object": "previous computations of low temperature rosseland and planck mean opacities from @xcite are updated"}
{"subject": "math:arxiv_69556", "predicate": "proves", "object": "these notes grew out of an expos on m.  gromov s paper `` convex sets and khler manifolds '' ( `` ad"}
{"subject": "math:arxiv_69564", "predicate": "proves", "object": "we derive a system of cosmological equations for a braneworld with induced curvature which is a junc"}
{"subject": "math:arxiv_69567", "predicate": "proves", "object": "we study lagrangian submanifolds foliated by @xmath0-spheres in @xmath1 for @xmath2 . \n we give a pa"}
{"subject": "math:arxiv_69583", "predicate": "proves", "object": "let @xmath0 be the set of isomorphism classes of right ideals in the weyl algebra @xmath1 , and let "}
{"subject": "math:arxiv_69593", "predicate": "proves", "object": "we produce an explicit embedding of the planar algebra of the drinfeld double of a finite - dimensio"}
{"subject": "math:arxiv_69604", "predicate": "proves", "object": "we introduce the basic elements of @xmath0-local theory of regge calculus . a first order formalism "}
{"subject": "math:arxiv_69640", "predicate": "proves", "object": "in this article we investigate the dynamics of special solutions to the surface diffusion flow of id"}
{"subject": "math:arxiv_69642", "predicate": "proves", "object": "a theoretical analysis of solutions of renormalisation group equations in the mssm corresponding to "}
{"subject": "math:arxiv_69650", "predicate": "proves", "object": "i derive the equation of motion in molecular dynamics for doing full lattice qcd simulations with cl"}
{"subject": "math:arxiv_69654", "predicate": "proves", "object": "we study the solution of the schlesinger system for the 4-point @xmath0 isomonodromy problem and con"}
{"subject": "math:arxiv_69656", "predicate": "proves", "object": "we consider the dynamics of a gas of free bosons within a semi - classical fokker - planck equation "}
{"subject": "math:arxiv_69664", "predicate": "proves", "object": "we consider a large - scale quadratic eigenvalue problem ( qep ) , formulated using p1 finite elemen"}
{"subject": "math:arxiv_69690", "predicate": "proves", "object": "in this paper we raise the question whether every closed riemannian manifold has a spine of minimal "}
{"subject": "math:arxiv_69694", "predicate": "proves", "object": "this article describes three _ mathematica _ \n packages for the automatic calculation of one - loop "}
{"subject": "math:arxiv_69703", "predicate": "proves", "object": "we discuss hybrid master equations of composite systems which are hybrids of classical and quantum s"}
{"subject": "math:arxiv_69704", "predicate": "proves", "object": "we consider manifolds with isolated singularities , i.e. , topological spaces which are manifolds ( "}
{"subject": "math:arxiv_69713", "predicate": "proves", "object": "in this paper we present a graphical processing unit ( gpu ) accelerated mixed variational formulati"}
{"subject": "math:arxiv_69719", "predicate": "proves", "object": "we analyze in this paper a virtual element approximation for the acoustic vibration problem . we con"}
{"subject": "math:arxiv_69721", "predicate": "proves", "object": "we show the existence of complete , asymptotically flat cauchy initial data for the vacuum einstein "}
{"subject": "math:arxiv_69736", "predicate": "proves", "object": "we examine high - order dynamical correlations of defects ( vortices , disclinations etc ) in thin f"}
{"subject": "math:arxiv_69740", "predicate": "proves", "object": "we consider a porous medium equation with nonlocal diffusion effects given by an inverse fractional "}
{"subject": "math:arxiv_69746", "predicate": "proves", "object": "we consider a multi - group microscopic model for pedestrian flow describing the behaviour of large "}
{"subject": "math:arxiv_69768", "predicate": "proves", "object": "for any integer @xmath0 , we construct an infinite family of stein fillable contact @xmath1-manifold"}
{"subject": "math:arxiv_69774", "predicate": "proves", "object": "we show how , beginning with the fokker  planck equation for electrons emitting synchrotron radiatio"}
{"subject": "math:arxiv_69797", "predicate": "proves", "object": "the so called @xmath0-triplets were conjectured in 2004 [ tsallis , physica a * 340 * , 1 ( 2004 ) ]"}
{"subject": "math:arxiv_69798", "predicate": "proves", "object": "we apply a large - deviation method to study the diffusive trajectories of the quadrature operators "}
{"subject": "math:arxiv_69839", "predicate": "proves", "object": "the combinatorial hopf algebra on building sets @xmath0 extends the chromatic hopf algebra of simple"}
{"subject": "math:arxiv_69853", "predicate": "proves", "object": "the concept of environmental interface is defined and analyzed from the point of view of the possibl"}
{"subject": "math:arxiv_69856", "predicate": "proves", "object": "in this contribution we review results on the kinematics of a quantum system localized on a connecte"}
{"subject": "math:arxiv_69868", "predicate": "proves", "object": "we started the evolution of a flat universe from a nonsingular state called prematter which is gover"}
{"subject": "math:arxiv_69880", "predicate": "proves", "object": "we have developed a semiclassical approach to solving the bogoliubov - de gennes equations for super"}
{"subject": "math:arxiv_69898", "predicate": "proves", "object": "in this note we use techniques in the topology of 2-complexes to recast some tools that have arisen "}
{"subject": "math:arxiv_69909", "predicate": "proves", "object": "exact diagonalization of a two - dimensional electron gas in a strong magnetic field in the disk geo"}
{"subject": "math:arxiv_69914", "predicate": "proves", "object": "we prove that polarised manifolds that admit a constant scalar curvature khler ( csck ) metric satis"}
{"subject": "math:arxiv_69929", "predicate": "proves", "object": "we present a plane wave / pseudopotential implementation of the method to calculate electron transpo"}
{"subject": "math:arxiv_69962", "predicate": "proves", "object": "the @xmath0 turk s head knot , @xmath1 , is an `` alternating @xmath2 torus knot . '' \n we prove the"}
{"subject": "math:arxiv_69963", "predicate": "proves", "object": "we consider the massive tricritical ising model @xmath0 perturbed by the thermal operator @xmath1 in"}
{"subject": "math:arxiv_69978", "predicate": "proves", "object": "a prototype experiment to measure the neutron electric dipole moment ( nedm ) by spin - rotation in "}
{"subject": "math:arxiv_69987", "predicate": "proves", "object": "with a method in which the friedmann equation is written in a form such that evolution of the scale "}
{"subject": "math:arxiv_69995", "predicate": "proves", "object": "a peculiarity of the hydrodynamic navier - stokes equations for a granular gas is the modification o"}
{"subject": "math:arxiv_69996", "predicate": "proves", "object": "the modified lane - emden equation for stellar hydrostatic equilibrium in @xmath0-gravity is numeric"}
{"subject": "math:arxiv_70000", "predicate": "proves", "object": "we prove that for each closed smooth spin 4-manifold @xmath0 there exists a closed smooth 4-manifold"}
{"subject": "math:arxiv_70004", "predicate": "proves", "object": "let @xmath0 be a dominant meromorphic self - map , where @xmath1 is a compact , connected complex ma"}
{"subject": "math:arxiv_70029", "predicate": "proves", "object": "in this paper we describe a procedure for refining the given triangulation of a 3-manifold that scal"}
{"subject": "math:arxiv_70033", "predicate": "proves", "object": "pusey , barrett and rudolph ( pbr ) have recently proven an important new theorem in the foundations"}
{"subject": "math:arxiv_70042", "predicate": "proves", "object": "we develop _ geometric optimisation _ on the manifold of hermitian positive definite ( hpd ) matrice"}
{"subject": "math:arxiv_70063", "predicate": "proves", "object": "we deal with the problem of existence of periodic solutions for the scalar differential equation @xm"}
{"subject": "math:arxiv_70065", "predicate": "proves", "object": "we study the crossover between the diffusive and quasi - ballistic regimes of random lasers . in par"}
{"subject": "math:arxiv_70075", "predicate": "proves", "object": "we prove some new results on existence of solutions to first \n order ordinary differential equations"}
{"subject": "math:arxiv_70082", "predicate": "proves", "object": "we determine the linear acoustic and dielectric response of crystalline tunnelling defects assuming "}
{"subject": "math:arxiv_70089", "predicate": "proves", "object": "the exact solution of the dirac equation and the spectrum of electron quasi - energies in a superpos"}
{"subject": "math:arxiv_70093", "predicate": "proves", "object": "a modified version of the faddeev three - body equation to accommodate the coulomb interaction , whi"}
{"subject": "math:arxiv_70100", "predicate": "proves", "object": "explicit solution for the 2-point correlation function in a non - equilibrium steady state of a near"}
{"subject": "math:arxiv_70119", "predicate": "proves", "object": "we consider one - dimensional ( 1d ) interacting electrons beyond the dzyaloshinskii - larkin theore"}
{"subject": "math:arxiv_70163", "predicate": "proves", "object": "we review basic design principles underpinning the construction of mimetic finite difference and a f"}
{"subject": "math:arxiv_70178", "predicate": "proves", "object": "given a hypergraph @xmath0 , we introduce a grassmann algebra over the vertex set , and show that a "}
{"subject": "math:arxiv_70186", "predicate": "proves", "object": "in this paper , we address stability of parabolic linear partial differential equations ( pdes ) . \n"}
{"subject": "math:arxiv_70193", "predicate": "proves", "object": "we use the vector formulation to evaluate vector and axial  vector exchange contributions to the @xm"}
{"subject": "math:arxiv_70209", "predicate": "proves", "object": "an operator c*-algebra @xmath0 associated with a dynamical system on a metric graph is introduced . "}
{"subject": "math:arxiv_70214", "predicate": "proves", "object": "nonrelativistic quantum mechanics is commonly formulated in terms of wavefunctions ( probability amp"}
{"subject": "math:arxiv_70222", "predicate": "proves", "object": "we extend the taming techniques developed in @xcite to construct explicit milstein schemes that nume"}
{"subject": "math:arxiv_70225", "predicate": "proves", "object": "we describe some analogy between optimal transport and the schrdinger problem where the transport co"}
{"subject": "math:arxiv_70228", "predicate": "proves", "object": "we establish the following theorem of bernstein type for the first heisenberg group @xmath0 : let @x"}
{"subject": "math:arxiv_70258", "predicate": "proves", "object": "the focus of this work is on the construction of a family of nonlinear absorbing boundary conditions"}
{"subject": "math:arxiv_70280", "predicate": "proves", "object": "a purely numerical approach to compact riemann surfaces starting from plane algebraic curves is pres"}
{"subject": "math:arxiv_70300", "predicate": "proves", "object": "we explore whether medium - resolution stellar spectra can be reconstructed from photometric observa"}
{"subject": "math:arxiv_70354", "predicate": "proves", "object": "we develop a quantum smoluchowski equation in terms of a true probability distribution function to d"}
{"subject": "math:arxiv_70358", "predicate": "proves", "object": "the performance of the positive p phase - space representation for exact many - body quantum dynamic"}
{"subject": "math:arxiv_70376", "predicate": "proves", "object": "gravitational collapse of the brans - dicke scalar field with non - zero potential in the presence o"}
{"subject": "math:arxiv_70386", "predicate": "proves", "object": "we determine the spectrum of particles accelerated at shocks with arbitrary speed and arbitrary scat"}
{"subject": "math:arxiv_70414", "predicate": "proves", "object": "we show that the counting sequence for permutations avoiding both of the ( classical ) patterns 1243"}
{"subject": "math:arxiv_70416", "predicate": "proves", "object": "we shortly review different methods to obtain the scattering solutions of the bethe - salpeter equat"}
{"subject": "math:arxiv_70428", "predicate": "proves", "object": "zarankiewicz s conjecture ( zc ) states that the crossing number @xmath0 equals @xmath1 . since klei"}
{"subject": "math:arxiv_70443", "predicate": "proves", "object": "we study fermion pairing in a population - imbalanced mixture of @xmath0li atomic gas loaded in a th"}
{"subject": "math:arxiv_70456", "predicate": "proves", "object": "a version of the dynamical systems method ( dsm ) for solving ill - posed nonlinear equations with m"}
{"subject": "math:arxiv_70463", "predicate": "proves", "object": "we prove a discrete version of the lusternik  schnirelmann theorem for discrete morse functions and "}
{"subject": "math:arxiv_70494", "predicate": "proves", "object": "stability of inviscid shear shallow water flows with free surface is studied in the framework of the"}
{"subject": "math:arxiv_70499", "predicate": "proves", "object": "a gap in @xcite is explored : new examples are found of closed orientable @xmath0-manifolds with pos"}
{"subject": "math:arxiv_70501", "predicate": "proves", "object": "we have constructed a new fermion action which is an approximation to the ( chirally symmetric ) fix"}
{"subject": "math:arxiv_70506", "predicate": "proves", "object": "the momentum- and frequency - dependent one - body correlation function of the one - dimensional int"}
{"subject": "math:arxiv_70508", "predicate": "proves", "object": "we present numerical methods to solve the israel - stewart ( is ) equations of causal relativistic d"}
{"subject": "math:arxiv_70532", "predicate": "proves", "object": "we study fermi gases in two dimensions at low temperatures with attractive interactions . \n analytic"}
{"subject": "math:arxiv_70544", "predicate": "proves", "object": "we have achieved the first full implementation of the stochastic projected gross - pitaevskii equati"}
{"subject": "math:arxiv_70547", "predicate": "proves", "object": "we consider the statistical mechanics of a small gaseous system subject to a constant external field"}
{"subject": "math:arxiv_70548", "predicate": "proves", "object": "we find the condition that the primordial baryon asymmetry is not washed out in the @xmath0 triplet "}
{"subject": "math:arxiv_70549", "predicate": "proves", "object": "in continuing our earlier research , we find the formulae needed to determine the arbitrary function"}
{"subject": "math:arxiv_70554", "predicate": "proves", "object": "in the paper we deal with the heun functions  solutions of the heun equation , which is the most gen"}
{"subject": "math:arxiv_70567", "predicate": "proves", "object": "we obtain analytic solutions to the gross - pitaevskii equation with negative scattering length in h"}
{"subject": "math:arxiv_70580", "predicate": "proves", "object": "we discuss a curvature theorem for subgraphs of the flat triangular tessellations of the plane . \n t"}
{"subject": "math:arxiv_70617", "predicate": "proves", "object": "the goal of the present work is to revisit the cranking formula of the vibrational parameters , espe"}
{"subject": "math:arxiv_70625", "predicate": "proves", "object": "the equation of state ( eos ) for hot asymmetric nuclear matter that is constructed with the variati"}
{"subject": "math:arxiv_70633", "predicate": "proves", "object": "with the aim of derive a quasi - monomiality formulation in the context of discrete hypercomplex var"}
{"subject": "math:arxiv_70637", "predicate": "proves", "object": "we examine the effect of network heterogeneity on the performance of quantum search algorithms . to "}
{"subject": "math:arxiv_70638", "predicate": "proves", "object": "the agt conjecture claims an equivalence of conformal blocks in 2d cft and sums of nekrasov function"}
{"subject": "math:arxiv_70641", "predicate": "proves", "object": "this paper studies finite element approximations of the stochastic allen - cahn equation with gradie"}
{"subject": "math:arxiv_70647", "predicate": "proves", "object": "in this article we study topological bifurcations of critical orbits of equivariant gradient equatio"}
{"subject": "math:arxiv_70648", "predicate": "proves", "object": "the main objective of this article is to study the asymptotic behavior of sali sums over arithmetic "}
{"subject": "math:arxiv_70650", "predicate": "proves", "object": "the proofs of chaitin and boolos for gdel s incompleteness theorem are studied from the perspectives"}
{"subject": "math:arxiv_70658", "predicate": "proves", "object": "the geometry of flat spacetime modded out by a null rotation ( boost+rotation ) is analysed . \n when"}
{"subject": "math:arxiv_70666", "predicate": "proves", "object": "a method for approximate solution of spectral problems for sturm - liouville equations based on the "}
{"subject": "math:arxiv_70671", "predicate": "proves", "object": "level - spacing distributions of the gaussian unitary ensemble ( gue ) of random matrix theory are e"}
{"subject": "math:arxiv_70675", "predicate": "proves", "object": "a method for solving spectral problems for the sturm - liouville equation @xmath0 @xmath1 based on t"}
{"subject": "math:arxiv_70701", "predicate": "proves", "object": "we propose a new formulation for atomic side mode dynamics from super - radiant light scattering of "}
{"subject": "math:arxiv_70740", "predicate": "proves", "object": "we have developed the anisotropic heat transport equation for rotating neutron stars . with a simple"}
{"subject": "math:arxiv_70749", "predicate": "proves", "object": "we introduce a new approach for investigating the weak field limit of vacuum field equations in @xma"}
{"subject": "math:arxiv_70762", "predicate": "proves", "object": "vlba high spatial resolution observations of the disk structure of the active galactic nucleus ngc 1"}
{"subject": "math:arxiv_70775", "predicate": "proves", "object": "we present explicit forms of general breather ( gb ) , akhmediev breather ( ab ) , ma soliton ( ms )"}
{"subject": "math:arxiv_70780", "predicate": "proves", "object": "we use wegner s flow equation method to investigate the infinite-@xmath0 periodic anderson model . \n"}
{"subject": "math:arxiv_70783", "predicate": "proves", "object": "in this paper , we solve the field equations in metric @xmath0 gravity for bianchi type @xmath1 spac"}
{"subject": "math:arxiv_70788", "predicate": "proves", "object": "we present a few ways of using conformal maps in the reconstruction of two - dimensional conductivit"}
{"subject": "math:arxiv_70796", "predicate": "proves", "object": "we prove the farrell  jones conjecture for ( non - connective ) @xmath0theory with coefficients and "}
{"subject": "math:arxiv_70798", "predicate": "proves", "object": "we derive an exact solution of the einstein s equations with a scalar field stress - energy tensor w"}
{"subject": "math:arxiv_70807", "predicate": "proves", "object": "the tolman - bondi solution of the einstein equations is used in order to model the time evolution o"}
{"subject": "math:arxiv_70818", "predicate": "proves", "object": "we consider a class of nonlinear schrdinger / gross - pitaevskii ( nls / gp ) equations with periodi"}
{"subject": "math:arxiv_70825", "predicate": "proves", "object": "hadwiger s theorem states that @xmath0-invariant convex - continuous valuations of definable sets in"}
{"subject": "math:arxiv_70839", "predicate": "proves", "object": "a set of wave equations with fractional loss operators in time and space are analyzed . \n it is show"}
{"subject": "math:arxiv_70846", "predicate": "proves", "object": "we have computed the local electric field in a body - centered tetragonal ( bct ) lattice of point d"}
{"subject": "math:arxiv_70849", "predicate": "proves", "object": "inspired by holstein s work on small polaron hopping , the evolution equations of localized states a"}
{"subject": "math:arxiv_70850", "predicate": "proves", "object": "we establish a correspondence between simplicial fans , not necessarily rational , and certain folia"}
{"subject": "math:arxiv_70854", "predicate": "proves", "object": "in this paper , the general procedure to solve the general relativistic hydrodynamical(grh ) equatio"}
{"subject": "math:arxiv_70863", "predicate": "proves", "object": "inference of the network structure ( e.g. , routing topology ) and dynamics ( e.g. , link performanc"}
{"subject": "math:arxiv_70869", "predicate": "proves", "object": "taking a quantum corrected form of raychaudhuri equation in a geometric background described by a lo"}
{"subject": "math:arxiv_70877", "predicate": "proves", "object": "we explore the use of exact diagonalization methods for solving the self consistent equations of the"}
{"subject": "math:arxiv_70879", "predicate": "proves", "object": "the evolution of an accretion disk , formed as a consequence of the disruption of a star by a black "}
{"subject": "math:arxiv_70889", "predicate": "proves", "object": "we prove that any diffeomorphism of a compact manifold can be @xmath0-approximated by a diffeomorphi"}
{"subject": "math:arxiv_70893", "predicate": "proves", "object": "we have analyzed the genus topology of the bicep2  and find them to be gaussian random phase as expe"}
{"subject": "math:arxiv_70902", "predicate": "proves", "object": "by providing explicit definitions , we show that in both affine and projective geometry of dimension"}
{"subject": "math:arxiv_70917", "predicate": "proves", "object": "given a set @xmath0 of @xmath1 points in @xmath2 , we show that , for any @xmath3 , there exists an "}
{"subject": "math:arxiv_70921", "predicate": "proves", "object": "we construct an approximate renormalization for hamiltonian systems with two degrees of freedom in o"}
{"subject": "math:arxiv_70964", "predicate": "proves", "object": "this paper concerns the topology of isospectral real manifolds of certain jacobi elements associated"}
{"subject": "math:arxiv_70968", "predicate": "proves", "object": "for a compactly generated lca group @xmath0 , it is shown that the set @xmath1 of all generalized ch"}
{"subject": "math:arxiv_70972", "predicate": "proves", "object": "we develop a new 3 + 1 dimensional monte carlo cascade solving the kinetic on - shell boltzmann equa"}
{"subject": "math:arxiv_70975", "predicate": "proves", "object": "we introduce a dynamical model of a bose - einstein condensate based on the 2d gross - pitaevskii eq"}
{"subject": "math:arxiv_70982", "predicate": "proves", "object": "we rely on a variational approach to derive a set of equations governing a trapped self - interactin"}
{"subject": "math:arxiv_70985", "predicate": "proves", "object": "we show that the @xmath0-jumping numbers of a pair @xmath1 in positive characteristic have no limit "}
{"subject": "math:arxiv_70990", "predicate": "proves", "object": "three different representation of the proper euclidean geometry are considered . \n they differ in th"}
{"subject": "math:arxiv_71020", "predicate": "proves", "object": "let t be gdel s system of primitive recursive functionals of finite type in the lambda formulation ."}
{"subject": "math:arxiv_71026", "predicate": "proves", "object": "we discuss an alternative approach to quintessence modifying the usual equation of state of the cosm"}
{"subject": "math:arxiv_71065", "predicate": "proves", "object": "we define a 2-normal surface to be one which intersects every 3-simplex of a triangulated 3-manifold"}
{"subject": "math:arxiv_71078", "predicate": "proves", "object": "we propose a full - rate iterated space - time code construction , to design codes of @xmath0-rank @"}
{"subject": "math:arxiv_71103", "predicate": "proves", "object": "the effect of a temporal modulation at three times the critical frequency on a hopf bifurcation is s"}
{"subject": "math:arxiv_71108", "predicate": "proves", "object": "we compute the backscattered current in a double point - contact geometry of a quantum hall system a"}
{"subject": "math:arxiv_71120", "predicate": "proves", "object": "we present an algorithm for the efficient sampling of conditional paths of stochastic differential e"}
{"subject": "math:arxiv_71131", "predicate": "proves", "object": "we construct many new invariant solutions to the strominger system with respect to a 2-parameter fam"}
{"subject": "math:arxiv_71132", "predicate": "proves", "object": "many examples of nonpositively curved closed manifolds arise as blow - ups of projective hyperplane "}
{"subject": "math:arxiv_71150", "predicate": "proves", "object": "let @xmath0 be a compact manifold with a fixed spin structure @xmath1 . \n the atiyah - singer index "}
{"subject": "math:arxiv_71152", "predicate": "proves", "object": "we perform a fully relativistic calculation of the @xmath0 reaction in the impulse approximation emp"}
{"subject": "math:arxiv_71155", "predicate": "proves", "object": "we point out that the recent conjecture relating large @xmath0 gauge theories to string theory in an"}
{"subject": "math:arxiv_71163", "predicate": "proves", "object": "this is a review of irrational conformal field theory , which includes rational conformal field theo"}
{"subject": "math:arxiv_71168", "predicate": "proves", "object": "electron tunneling through a system formed by two coupled quantum dots in a parallel geometry is con"}
{"subject": "math:arxiv_71172", "predicate": "proves", "object": "the stability properties of line solitary wave solutions of the ( 2 + 1)-dimensional boussinesq equa"}
{"subject": "math:arxiv_71175", "predicate": "proves", "object": "this paper is an extended version of my talk given in zrich during the conference `` quantization an"}
{"subject": "math:arxiv_71178", "predicate": "proves", "object": "we find nonperturbative solutions of a nonlocal scalar field equation , with cubic or exponential po"}
{"subject": "math:arxiv_71189", "predicate": "proves", "object": "the paper contains several regularity results and blow - up criterions for a surface growth model , "}
{"subject": "math:arxiv_71190", "predicate": "proves", "object": "by reinterpreting the familiar tools and ideas of m - theory model building , we show how a @xmath0-"}
{"subject": "math:arxiv_71197", "predicate": "proves", "object": "we design and implement a parallel algebraic multigrid method for isotropic graph laplacian problems"}
{"subject": "math:arxiv_71205", "predicate": "proves", "object": "stochastic processes driven by stationary fractional gaussian noise , that is , fractional brownian "}
{"subject": "math:arxiv_71219", "predicate": "proves", "object": "mass and charge identification of charged products detected with silicon - csi(tl ) telescopes of th"}
{"subject": "math:arxiv_71237", "predicate": "proves", "object": "this chapter is in three parts . \n the first gives the fundamental equations of level populations an"}
{"subject": "math:arxiv_71251", "predicate": "proves", "object": "we investigate the quantum zeno effect in the case of electron tunneling out of a quantum dot in the"}
{"subject": "math:arxiv_71254", "predicate": "proves", "object": "we have derived simplified equations for a freely expanding , pressure driven jet model as a functio"}
{"subject": "math:arxiv_71258", "predicate": "proves", "object": "we study algebraic properties of groups of pl or smooth homeomorphisms of unit cubes in any dimensio"}
{"subject": "math:arxiv_71265", "predicate": "proves", "object": "for the case of finite life - time broadening the standard kubo - formula for the optical conductivi"}
{"subject": "math:arxiv_71269", "predicate": "proves", "object": "motivated by recent progress in trapping bose - einstein condensed atoms in toroidal potentials , we"}
{"subject": "math:arxiv_71272", "predicate": "proves", "object": "we consider the skyrme model using the explicit parameterization of the rotation group @xmath0 throu"}
{"subject": "math:arxiv_71283", "predicate": "proves", "object": "' '' ''    poincar covariant faddeev equations for the nucleon and @xmath0 are solved to illustrate "}
{"subject": "math:arxiv_71299", "predicate": "proves", "object": "this article presents a finite element method ( fem ) for a partial integro - differential equation "}
{"subject": "math:arxiv_71304", "predicate": "proves", "object": "we introduce and analyze a nitsche - based domain decomposition method for the solution of hypersing"}
{"subject": "math:arxiv_71313", "predicate": "proves", "object": "dynamics of wilson loops in pure yang - mills theories is analyzed in terms of random walks of the h"}
{"subject": "math:arxiv_71315", "predicate": "proves", "object": "covering a convex body by its homothets is a classical notion in discrete geometry that has resulted"}
{"subject": "math:arxiv_71324", "predicate": "proves", "object": "in this article , we have proposed a model for a realistic strange star under tolman vii metric@xcit"}
{"subject": "math:arxiv_71335", "predicate": "proves", "object": "we solve the dirac equation in one space dimension for the case of a linear , lorentz - scalar poten"}
{"subject": "math:arxiv_71339", "predicate": "proves", "object": "we reanalyze transfer - matrix and monte carlo results for the critical binder cumulant @xmath0 of a"}
{"subject": "math:arxiv_71344", "predicate": "proves", "object": "we investigate nuclear matter equations of state in neutron star with kaon condensation . \n it is ge"}
{"subject": "math:arxiv_71368", "predicate": "proves", "object": "this paper describes an algorithm for determining radii of convergence of power expansions for algeb"}
{"subject": "math:arxiv_71409", "predicate": "proves", "object": "if a quillen model category can be specified using a certain logical syntax ( intuitively , `` is al"}
{"subject": "math:arxiv_71426", "predicate": "proves", "object": "we study classes of dynamic programming ( dp ) algorithms which , due to their algebraic definitions"}
{"subject": "math:arxiv_71430", "predicate": "proves", "object": "we give in this note a weighted version of brianchon - gram s decomposition for a simple polytope . "}
{"subject": "math:arxiv_71440", "predicate": "proves", "object": "we present a survey of results on word equations in simple groups , as well as their analogues and g"}
{"subject": "math:arxiv_71472", "predicate": "proves", "object": "we derive the formula of the complex doppler shift in a two - dimensional , dispersive metamaterial "}
{"subject": "math:arxiv_71481", "predicate": "proves", "object": "the linearized navier - stokes equations for a system of superposed immiscible compressible ideal fl"}
{"subject": "math:arxiv_71513", "predicate": "proves", "object": "in this paper the multi - dimensional random walk models governed by distributed fractional order di"}
{"subject": "math:arxiv_71514", "predicate": "proves", "object": "a fundamental property in wormhole physics is the flaring - out condition of the throat , which thro"}
{"subject": "math:arxiv_71535", "predicate": "proves", "object": "in recent years , there have been several successful attempts to constrain the equation of state of "}
{"subject": "math:arxiv_71542", "predicate": "proves", "object": "we give elementary proofs of two ` folklore ' assertions about near - symplectic forms on four - man"}
{"subject": "math:arxiv_71549", "predicate": "proves", "object": "in a previous paper we have written down equations describing steady - state , optically thin , adve"}
{"subject": "math:arxiv_71550", "predicate": "proves", "object": "the exact solutions of the complete dirac equation for fermions moving in ideal aharonov - bohm ring"}
{"subject": "math:arxiv_71554", "predicate": "proves", "object": "we obtain generalized raychaudhuri equations for spinning test particles corresponding to congruence"}
{"subject": "math:arxiv_71559", "predicate": "proves", "object": "it is common practice to approximate a weakly nonlinear wave equation through a kinetic transport eq"}
{"subject": "math:arxiv_71574", "predicate": "proves", "object": "a timelike metric space is a hausdorff topological space equipped with a partial order relation and "}
{"subject": "math:arxiv_71617", "predicate": "proves", "object": "this work is devoted to the decay of random solutions of the unforced burgers equation in one dimens"}
{"subject": "math:arxiv_71621", "predicate": "proves", "object": "we prove first that for the barycentric refinement @xmath0 of a finite abstract simplicial complex @"}
{"subject": "math:arxiv_71669", "predicate": "proves", "object": "let @xmath0 be a hamiltonian vector field defined on a symplectic manifold @xmath1 , @xmath2 a nowhe"}
{"subject": "math:arxiv_71670", "predicate": "proves", "object": "we introduce in this document a direct method allowing to solve numerically inverse type problems fo"}
{"subject": "math:arxiv_71677", "predicate": "proves", "object": "perturbation of frw spacetime is carried out in np formalism . the equation governing the scalar , \n"}
{"subject": "math:arxiv_71686", "predicate": "proves", "object": "recent progress which relates non - abelian t - duality of @xmath0 sugra solutions to the powerful t"}
{"subject": "math:arxiv_71708", "predicate": "proves", "object": "we consider photonic crystal fibres ( pcfs ) made from arbitrary base materials and introduce a shor"}
{"subject": "math:arxiv_71718", "predicate": "proves", "object": "this paper reexamines a special class of thin - shell wormholes that are unstable in general relativ"}
{"subject": "math:arxiv_71720", "predicate": "proves", "object": "the generalized quantum master equation provides a powerful tool to describe the dynamics in quantum"}
{"subject": "math:arxiv_71724", "predicate": "proves", "object": "we propose and analyze an improved small-@xmath0 equation which incorporates exact leading and next "}
{"subject": "math:arxiv_71760", "predicate": "proves", "object": "we prove well - posedness of global solutions for a class of coagulation equations which exhibit the"}
{"subject": "math:arxiv_71772", "predicate": "proves", "object": "a new potential vorticity is derived by using a specific entropy formulation expressed in terms of a"}
{"subject": "math:arxiv_71773", "predicate": "proves", "object": "in this paper , we consider the generalized forchheimer flows for slightly compressible fluids in po"}
{"subject": "math:arxiv_71794", "predicate": "proves", "object": "a model of an elastic manifold driven through a random medium by an applied force @xmath0 is introdu"}
{"subject": "math:arxiv_71809", "predicate": "proves", "object": "ramanujam s surface @xmath0 is a contractible affine algebraic surface which is not homeomorphic to "}
{"subject": "math:arxiv_71822", "predicate": "proves", "object": "solutions of the one dimensional dirac equation with piece - wise constant potentials are presented "}
{"subject": "math:arxiv_71823", "predicate": "proves", "object": "given an algebraic variety we get puiseux type parametrizations on suitable reinhardt domains . \n th"}
{"subject": "math:arxiv_71825", "predicate": "proves", "object": "we generalize the theorems of stein  tomas and strichartz about surface restrictions of fourier tran"}
{"subject": "math:arxiv_71839", "predicate": "proves", "object": "the conformal structure of the schwarzschild - de sitter spacetime is analysed using the extended co"}
{"subject": "math:arxiv_71845", "predicate": "proves", "object": "we present a spinfoam formulation of lorentzian quantum general relativity . \n the theory is based o"}
{"subject": "math:arxiv_71847", "predicate": "proves", "object": "the dynamic structure factor of a normal fermi gas is investigated by using the moment method for th"}
{"subject": "math:arxiv_71852", "predicate": "proves", "object": "covergent eigensolutions of the dirac equation for a relativistic electron in an external coulomb po"}
{"subject": "math:arxiv_71862", "predicate": "proves", "object": "we classify closed , simply - connected , non - negatively curved @xmath0-manifolds of almost maxima"}
{"subject": "math:arxiv_71869", "predicate": "proves", "object": "we present an analysis of time - delayed feedback control used to stabilize an unstable steady state"}
{"subject": "math:arxiv_71870", "predicate": "proves", "object": "the electron motion in a strong perpendicular magnetic field close to the impenetrable stripe is con"}
{"subject": "math:arxiv_71905", "predicate": "proves", "object": "we solve the coordinate space faddeev equations in the continuum . \n we employ hyperspherical coordi"}
{"subject": "math:arxiv_71913", "predicate": "proves", "object": "the initial value problem for the @xmath0 critical semilinear schrdinger equation with periodic boun"}
{"subject": "math:arxiv_71922", "predicate": "proves", "object": "explicit formulas involving a generalized ramanujan sum are derived . \n an analogue of the prime num"}
{"subject": "math:arxiv_71941", "predicate": "proves", "object": "the purpose of this paper is to describe an analogue of a construction of costello in the context of"}
{"subject": "math:arxiv_71975", "predicate": "proves", "object": "the extension of the dirac delta distribution ( dd ) to the complex field is needed for dealing with"}
{"subject": "math:arxiv_71976", "predicate": "proves", "object": "the general formulation of a technically advantageous method to find the ground state solution of th"}
{"subject": "math:arxiv_71977", "predicate": "proves", "object": "in this article , we report the recent progress on decoherence dynamics of electrons in quantum dot "}
{"subject": "math:arxiv_71980", "predicate": "proves", "object": "exact linear retarding spherically symmetric solutions of einstein equations linearized around fried"}
{"subject": "math:arxiv_72001", "predicate": "proves", "object": "circle actions on pseudomanifolds have been studied in @xcite by using intersection cohomology ( see"}
{"subject": "math:arxiv_72037", "predicate": "proves", "object": "recursive formulas are derived for the number of solutions of linear and quadratic diophantine equat"}
{"subject": "math:arxiv_72046", "predicate": "proves", "object": "we describe , for the first time , a completely rigorous homotopy ( path  following ) algorithm ( in"}
{"subject": "math:arxiv_72052", "predicate": "proves", "object": "we obtain necessary optimality conditions for a semi - discretized optimal control problem for the c"}
{"subject": "math:arxiv_72057", "predicate": "proves", "object": "in this paper , the existence and uniqueness of solution of a specific differential equation is stud"}
{"subject": "math:arxiv_72060", "predicate": "proves", "object": "we made an analysis of the equations of motion which are obtained from the one  loop effective actio"}
{"subject": "math:arxiv_72068", "predicate": "proves", "object": "this paper is concerned with some extensions of the classical liouville theorem for bounded harmonic"}
{"subject": "math:arxiv_72093", "predicate": "proves", "object": "traditional methods of cryptographic key distribution rest on judgments about an attacker . with \n t"}
{"subject": "math:arxiv_72103", "predicate": "proves", "object": "we investigate the equation of state ( eos ) along the bcs - bec crossover for a quark system descri"}
{"subject": "math:arxiv_72107", "predicate": "proves", "object": "we study the time evolution for the quantum harmonic oscillator subjected to a sudden change of freq"}
{"subject": "math:arxiv_72117", "predicate": "proves", "object": "let @xmath0 be a @xmath1-dimensional complete proper minimal submanifold in the poincar ball model @"}
{"subject": "math:arxiv_72130", "predicate": "proves", "object": "we investigate the level spacing distribution for the quantum spectrum of the square billiard . exte"}
{"subject": "math:arxiv_72137", "predicate": "proves", "object": "the polynomial algebra is a deformed su(2 ) algebra . here \n , we use polynomial algebra as a method"}
{"subject": "math:arxiv_72154", "predicate": "proves", "object": "the s - wave meson - nucleon interaction in the @xmath0 sector is studied by means of coupled - chan"}
{"subject": "math:arxiv_72156", "predicate": "proves", "object": "we study a 3-brane moving in the five - dimensional bulk of the randall - sundrum ii model . by incl"}
{"subject": "math:arxiv_72159", "predicate": "proves", "object": "we have studied dust evolution in a quiescent or turbulent protoplanetary disk by numerically solvin"}
{"subject": "math:arxiv_72162", "predicate": "proves", "object": "chmieliski has proved in the paper [ 4 ] the superstability of the generalized orthogonality equatio"}
{"subject": "math:arxiv_72167", "predicate": "proves", "object": "a rigorous proof for convergence of the wolf method @xcite for calculating electrostatic energy of a"}
{"subject": "math:arxiv_72184", "predicate": "proves", "object": "this work is devoted to the study of the decay of multiscale deterministic solutions of the unforced"}
{"subject": "math:arxiv_72189", "predicate": "proves", "object": "the term `` special biconformal change '' refers , basically , to the situation where a given nontri"}
{"subject": "math:arxiv_72190", "predicate": "proves", "object": "we find the general solution of the equations of motion for the wznw system in curved space - time f"}
{"subject": "math:arxiv_72239", "predicate": "proves", "object": "the effects of event - by - event fluctuations in the initial geometry of the colliding nuclei are i"}
{"subject": "math:arxiv_72240", "predicate": "proves", "object": "let @xmath0 be a regular covering of a complex projective manifold @xmath1 of dimension @xmath2 . \n "}
{"subject": "math:arxiv_72257", "predicate": "proves", "object": "we show that the kuratowski imbedding of a riemannian manifold in  @xmath0 , exploited in gromov s p"}
{"subject": "math:arxiv_72266", "predicate": "proves", "object": "we associate a taylor tower supplied by calculus of the embedding functor to the space of long knots"}
{"subject": "math:arxiv_72271", "predicate": "proves", "object": "we provide new exact solutions to the einstein - maxwell system of equations for matter configuratio"}
{"subject": "math:arxiv_72279", "predicate": "proves", "object": "a version of the second main theorem of nevanlinna theory is proved , where the ramification term is"}
{"subject": "math:arxiv_72284", "predicate": "proves", "object": "two main topics of this paper are asymptotic distributions of zeros of jacobi polynomials and topolo"}
{"subject": "math:arxiv_72298", "predicate": "proves", "object": "the evolution equation for parton multiplicities in quark and gluon jets which takes into account th"}
{"subject": "math:arxiv_72304", "predicate": "proves", "object": "we consider both discrete and continuous `` uncertain horizon '' deterministic control processes , f"}
{"subject": "math:arxiv_72308", "predicate": "proves", "object": "in this paper , by using bifurcation method , we successfully find the fornberg - whitham equation @"}
{"subject": "math:arxiv_72322", "predicate": "proves", "object": "we present a new method for constructing solutions to nonlinear evolutionary equations describing th"}
{"subject": "math:arxiv_72329", "predicate": "proves", "object": "this talk reports on results on the deformation quantization ( star products ) and on approximative "}
{"subject": "math:arxiv_72342", "predicate": "proves", "object": "we prove that there exist infinitely many topologically slice knots which can not bound a smooth nul"}
{"subject": "math:arxiv_72346", "predicate": "proves", "object": "in this paper , we consider a nonlinear second order equation modelling rocket motion in the gravita"}
{"subject": "math:arxiv_72369", "predicate": "proves", "object": "using weitzenbck techniques on any compact riemannian spin manifold we derive a general inequality d"}
{"subject": "math:arxiv_72388", "predicate": "proves", "object": "we consider improvements of dirichlet s theorem on space of matrices @xmath0 . \n it is shown that fo"}
{"subject": "math:arxiv_72400", "predicate": "proves", "object": "the prisoner s dilemma ( pd ) is one of the most popular games of the game theory due to the emergen"}
{"subject": "math:arxiv_72404", "predicate": "proves", "object": "translational and rotational swimming at small reynolds number of a planar assembly of identical sph"}
{"subject": "math:arxiv_72410", "predicate": "proves", "object": "we give an a geometric interpretation of the hasse - arf theorem for function fields using the recen"}
{"subject": "math:arxiv_72413", "predicate": "proves", "object": "we study renormalizability aspects of the spectral action for the yang  mills system on a flat 4-dim"}
{"subject": "math:arxiv_72417", "predicate": "proves", "object": "we consider stochastic rotational dynamics of a macrospin at a constant temperature , in presence of"}
{"subject": "math:arxiv_72430", "predicate": "proves", "object": "we extend the previously developed weak noise scheme , applied to the noisy burgers equation in 1d ,"}
{"subject": "math:arxiv_72431", "predicate": "proves", "object": "we construct clusters of classical heisenberg spins with two spin @xmath0-type interactions for whic"}
{"subject": "math:arxiv_72443", "predicate": "proves", "object": "e. r. van dam and w. h. haemers @xmath0 $ ] conjectured almost all graphs are determined by their sp"}
{"subject": "math:arxiv_72445", "predicate": "proves", "object": "this is the first in a series of papers which analyze the problem of quantizing the theory coupling "}
{"subject": "math:arxiv_72461", "predicate": "proves", "object": "we solve the equation of the equilibrium of the gravitating body , with a polytropic equation of sta"}
{"subject": "math:arxiv_72471", "predicate": "proves", "object": "it is expected that at weak to intermediate coupling , d - wave superconductivity can be induced by "}
{"subject": "math:arxiv_72482", "predicate": "proves", "object": "we solve a truncated system of coupled dyson \n schwinger equations for the gluon and ghost propagato"}
{"subject": "math:arxiv_72490", "predicate": "proves", "object": "collisional absorption of laser light in a homogeneous , under - dense plasma is studied by a new pa"}
{"subject": "math:arxiv_72501", "predicate": "proves", "object": "we investigate the effects of pair creation on the internal geometry of a black hole , which forms d"}
{"subject": "math:arxiv_72504", "predicate": "proves", "object": "the quantized vortex state is investigated in a bose - einstein condensate , confined in a multiply "}
{"subject": "math:arxiv_72509", "predicate": "proves", "object": "we start with the relation between the chiral symmetry breaking and gauge field topology . \n new lat"}
{"subject": "math:arxiv_72517", "predicate": "proves", "object": "by means of new general variational method we report a direct solution for the quintic self - focusi"}
{"subject": "math:arxiv_72546", "predicate": "proves", "object": "in this paper , we investigate the solutions of a generalized fractional diffusion equation that ext"}
{"subject": "math:arxiv_72548", "predicate": "proves", "object": "we have derived several relations , which allow the evaluation of the system free energy changes in "}
{"subject": "math:arxiv_72555", "predicate": "proves", "object": "multistep denaturation in a short circular dna molecule is analyzed by a mesoscopic hamiltonian mode"}
{"subject": "math:arxiv_72567", "predicate": "proves", "object": "the author recently proved the existence of infinite order corks , arxiv:1603.05090 . \n the present "}
{"subject": "math:arxiv_72588", "predicate": "proves", "object": "in this paper we first describe the geometry of the newton polyhedra of polynomials invariant under "}
{"subject": "math:arxiv_72589", "predicate": "proves", "object": "we study vortical states in a bose - einstein condensate ( bec ) filling a cigar - shaped trap . \n a"}
{"subject": "math:arxiv_72603", "predicate": "proves", "object": "we present new results of a relativistic quark model based on the bethe  salpeter equation in its in"}
{"subject": "math:arxiv_72611", "predicate": "proves", "object": "the problem of formulating a fully consistent quantum theory of gravity has not yet been solved . \n "}
{"subject": "math:arxiv_72612", "predicate": "proves", "object": "we use the angular power spectrum of the cosmic microwave background , measured during the north ame"}
{"subject": "math:arxiv_72646", "predicate": "proves", "object": "two classes of relations for multiple zeta values are handled algebraically . \n a restricted sum for"}
{"subject": "math:arxiv_72651", "predicate": "proves", "object": "we consider a generalization of the classic sperner lemma . \n this lemma states that every sperner c"}
{"subject": "math:arxiv_72661", "predicate": "proves", "object": "we give new proofs of three theorems of stanley on generating functions for the integer points in ra"}
{"subject": "math:arxiv_72664", "predicate": "proves", "object": "the primary goal of this paper is to present a unified way to transform the syntax of a logic system"}
{"subject": "math:arxiv_72667", "predicate": "proves", "object": "we propose an adaptive approach in picking the wave - number parameter of absorbing boundary conditi"}
{"subject": "math:arxiv_72683", "predicate": "proves", "object": "we consider an observer in a ( 2 + 1)-spacetime without matter and cosmological constant who measure"}
{"subject": "math:arxiv_72701", "predicate": "proves", "object": "the goal of this paper is to define a new class of objects which we call triple groups and to relate"}
{"subject": "math:arxiv_72717", "predicate": "proves", "object": "the properties of the deconfined phase of @xmath0 supersymmetric yang - mills theory in @xmath1-dime"}
{"subject": "math:arxiv_72736", "predicate": "proves", "object": "we formulate a local dynamical model of an eccentric disc in which the dominant motion consists of e"}
{"subject": "math:arxiv_72743", "predicate": "proves", "object": "concepts from information geometry are used to analyse parameter sensitivity for a nuclear energy de"}
{"subject": "math:arxiv_72756", "predicate": "proves", "object": "braided quantum field theories proposed by oeckl can provide a framework for defining quantum field "}
{"subject": "math:arxiv_72769", "predicate": "proves", "object": "in the cadassian universe , one can explain the acceleration of the universe without introducing dar"}
{"subject": "math:arxiv_72780", "predicate": "proves", "object": "we present results concerning the nature of the cosmological big bounce ( bb ) transition within the"}
{"subject": "math:arxiv_72792", "predicate": "proves", "object": "a closed set of equations for the evolution of linear perturbations of homogeneous , isotropic cosmo"}
{"subject": "math:arxiv_72794", "predicate": "proves", "object": "we extend to dimension @xmath0 the concept of @xmath1-pair in a coloured graph and we prove the exis"}
{"subject": "math:arxiv_72827", "predicate": "proves", "object": "we consider the possibility that the universe is made of a single dark fluid described by a logotrop"}
{"subject": "math:arxiv_72829", "predicate": "proves", "object": "we give a @xmath0-cork with a @xmath0-effective embedding in a 4-manifold @xmath1 for any positive i"}
{"subject": "math:arxiv_72833", "predicate": "proves", "object": "by generalizing the well known results for reflection and refraction of plane waves at the vacuum \n "}
{"subject": "math:arxiv_72856", "predicate": "proves", "object": "an analog of the meir - wingreen formula for the steady - state heat current through a model molecul"}
{"subject": "math:arxiv_72870", "predicate": "proves", "object": "in an earlier paper , @xcite , we proved that given an asymptotically cylindrical @xmath0-manifold @"}
{"subject": "math:arxiv_72873", "predicate": "proves", "object": "covering - based rough set theory is a useful tool to deal with inexact , uncertain or vague knowled"}
{"subject": "math:arxiv_72877", "predicate": "proves", "object": "diffusion phenomena in a multiple component lattice boltzmann equation ( lbe ) model are discussed i"}
{"subject": "math:arxiv_72887", "predicate": "proves", "object": "we derive the linear langevin equation that describes the behavior of the fluctuations of the order "}
{"subject": "math:arxiv_72888", "predicate": "proves", "object": "we give a constructive local parametrization method for solutions of general implicit systems in arb"}
{"subject": "math:arxiv_72902", "predicate": "proves", "object": "in this work we consider non - zero circular polarization for the cmb radiation as a result of new i"}
{"subject": "math:arxiv_72904", "predicate": "proves", "object": "the dichotomy spectrum is introduced for linear mean - square random dynamical systems , and it is s"}
{"subject": "math:arxiv_72920", "predicate": "proves", "object": "a rigorous two - thermostat formulation for ab - initio molecular dynamics using the fictitious lagr"}
{"subject": "math:arxiv_72938", "predicate": "proves", "object": "we consider the university course timetabling problem , which is one of the most studied problems in"}
{"subject": "math:arxiv_72939", "predicate": "proves", "object": "we prove the existence of self - similar solutions to the fradkov model for two - dimensional grain "}
{"subject": "math:arxiv_72940", "predicate": "proves", "object": "a theoretical quantum brain model is proposed using a nonlinear schroedinger wave equation . \n the m"}
{"subject": "math:arxiv_72955", "predicate": "proves", "object": "this paper provides some necessary and sufficient conditions for a general markovian gaussian master"}
{"subject": "math:arxiv_72989", "predicate": "proves", "object": "let @xmath0 be a locally compact group , and let @xmath1  and @xmath2  denote its fourier and fourie"}
{"subject": "math:arxiv_73008", "predicate": "proves", "object": "in the present paper , we discuss solvability questions of a non - local problem with integral form "}
{"subject": "math:arxiv_73032", "predicate": "proves", "object": "we analyze a discontinuous galerkin fem - bem scheme for a second order elliptic transmission proble"}
{"subject": "math:arxiv_73040", "predicate": "proves", "object": "we consider a new approach to the nucleon - nucleon scattering problem in the framework of the highe"}
{"subject": "math:arxiv_73049", "predicate": "proves", "object": "phase separation of binary fluids quenched by contact with cold external walls is considered . \n nav"}
{"subject": "math:arxiv_73054", "predicate": "proves", "object": "forces defined in the framework of optical reference geometry are introduced in the case of stationa"}
{"subject": "math:arxiv_73070", "predicate": "proves", "object": "let @xmath0 be the lie ( super)algebra of vector fields on any connected ( super)manifold @xmath1 ; "}
{"subject": "math:arxiv_73071", "predicate": "proves", "object": "let @xmath0 be a finite dimensional complex reductive lie algebra and @xmath1 an invariant non degen"}
{"subject": "math:arxiv_73082", "predicate": "proves", "object": "we theoretically and numerically study spin turbulence ( st ) with small spin magnitude in spin-1 sp"}
{"subject": "math:arxiv_73108", "predicate": "proves", "object": "we study the effect of the mapping class group of a reducible 3-manifold @xmath0 on each incompressi"}
{"subject": "math:arxiv_73111", "predicate": "proves", "object": "the propagation of a beneficial mutation in a spatially extended population is usually studied using"}
{"subject": "math:arxiv_73133", "predicate": "proves", "object": "we summarise a recently introduced general canonical formulation of discrete systems which is fully "}
{"subject": "math:arxiv_73137", "predicate": "proves", "object": "we solve some recurrences given by e. munarini and n. zagaglia salvi proving explicit closed formula"}
{"subject": "math:arxiv_73151", "predicate": "proves", "object": "in his two pioneering articles @xcite jerry levine introduced and completely determined the algebrai"}
{"subject": "math:arxiv_73153", "predicate": "proves", "object": "we calculate the dynamics of a nanomechanical oscillator ( nmo ) coupled capacitively to a cooper pa"}
{"subject": "math:arxiv_73171", "predicate": "proves", "object": "a general proof of the security against eavesdropping of a previously introduced protocol for two - "}
{"subject": "math:arxiv_73188", "predicate": "proves", "object": "the response of turbulent flow to time - modulated forcing is studied by direct numerical simulation"}
{"subject": "math:arxiv_73204", "predicate": "proves", "object": "magnetic flux ropes play a central role in the physics of coronal mass ejections ( cmes ) . although"}
{"subject": "math:arxiv_73211", "predicate": "proves", "object": "the dynamics of an asymmetric kinetic ising model is studied . \n two schemes for improving the exist"}
{"subject": "math:arxiv_73215", "predicate": "proves", "object": "properties , structure , and thermal evolution of neutron stars are determined by the equation of st"}
{"subject": "math:arxiv_73218", "predicate": "proves", "object": "we give explicit formulae and study the combinatorics of an identity holding in all rota - baxter al"}
{"subject": "math:arxiv_73242", "predicate": "proves", "object": "our purpose is to calculate relativistic bound states in a quantum field theoretical approach . \n we"}
{"subject": "math:arxiv_73256", "predicate": "proves", "object": "in this work , we have computed the three dimensional weighting potential , field and pad response f"}
{"subject": "math:arxiv_73260", "predicate": "proves", "object": "extragalactic jets are visualized as dynamic erruptive events modelled by time - dependent magnetohy"}
{"subject": "math:arxiv_73266", "predicate": "proves", "object": "we present a physically reasonable source for an static , axially \n symmetric solution to the einste"}
{"subject": "math:arxiv_73268", "predicate": "proves", "object": "pairing of composite fermions in half - filled landau level state is reexamined by solving the bcs g"}
{"subject": "math:arxiv_73278", "predicate": "proves", "object": "let @xmath0 be the genus of a two - dimensional surface obtained by gluing , uniformly at random , t"}
{"subject": "math:arxiv_73288", "predicate": "proves", "object": "in this paper , using of the rigorous statement and rigorous proof the maxwell distribution as an ex"}
{"subject": "math:arxiv_73295", "predicate": "proves", "object": "we give a treatment of the brenner - monsky example based on polynomial algebra and linear algebra ."}
{"subject": "math:arxiv_73298", "predicate": "proves", "object": "* we review some of our recent results obtained within the scope of simple lattice models and monte "}
{"subject": "math:arxiv_73301", "predicate": "proves", "object": "in this article , we consider the connection problem of the kz ( knizhnik - zamolodchikov ) equation"}
{"subject": "math:arxiv_73325", "predicate": "proves", "object": "we analyze the public transport networks ( ptns ) of a number of major cities of the world . \n while"}
{"subject": "math:arxiv_73330", "predicate": "proves", "object": "we present a comparison between finite differences schemes and a pseudospectral method applied to th"}
{"subject": "math:arxiv_73342", "predicate": "proves", "object": "this paper extends some results on the s - lemma proposed by yakubovich and uses the improved result"}
{"subject": "math:arxiv_73350", "predicate": "proves", "object": "in this paper we present a supervised hyperspectral image segmentation algorithm based on a convex f"}
{"subject": "math:arxiv_73367", "predicate": "proves", "object": "the capacitance of arbitrarily shaped objects is reformulated in terms of the neumann - poincar oper"}
{"subject": "math:arxiv_73380", "predicate": "proves", "object": "we present an analysis of the role of global topology on the structural stability of folded proteins"}
{"subject": "math:arxiv_73391", "predicate": "proves", "object": "momentum space three - body faddeev - like equations are used to calculate elastic , transfer and ch"}
{"subject": "math:arxiv_73420", "predicate": "proves", "object": "within both dynamical and thermodynamical approaches using the equation of state for neutron - rich "}
{"subject": "math:arxiv_73426", "predicate": "proves", "object": "we report on the study of the fractional quantum hall effect at the filling factor 5/2 using exact d"}
{"subject": "math:arxiv_73449", "predicate": "proves", "object": "we extend the krori - barua analysis of the static , spherically symmetric , einstein - maxwell fiel"}
{"subject": "math:arxiv_73454", "predicate": "proves", "object": "we propose that the universe is filled with a massive vector field , non - minimally coupled to grav"}
{"subject": "math:arxiv_73485", "predicate": "proves", "object": "we study constructions of contact forms on closed manifolds . a notion of strong symplectic fold str"}
{"subject": "math:arxiv_73491", "predicate": "proves", "object": "in this paper we propose a way to construct an analytic space over a non - archimedean field , start"}
{"subject": "math:arxiv_73507", "predicate": "proves", "object": "in the paper , we study numerically the projections of the real exchange rate dynamics onto the stri"}
{"subject": "math:arxiv_73508", "predicate": "proves", "object": "we consider a two - dimensional ( 2d ) nonlinear schrdinger equation with self - focusing nonlineari"}
{"subject": "math:arxiv_73514", "predicate": "proves", "object": "in this paper we have used simulations to make a conjecture about the coverage of a @xmath0 dimensio"}
{"subject": "math:arxiv_73552", "predicate": "proves", "object": "we apply generic order parameter equations for the emergence of retinotopy between manifolds of diff"}
{"subject": "math:arxiv_73570", "predicate": "proves", "object": "we show that the number of quivers in the mutation class of a quiver of dynkin type @xmath0 is given"}
{"subject": "math:arxiv_73578", "predicate": "proves", "object": "a long - standing conjecture of farrell and zdravkovska and independently s.  t.  yau states that ev"}
{"subject": "math:arxiv_73601", "predicate": "proves", "object": "we provide formulas for the moments of the real and complex noncentral wishart distributions of gene"}
{"subject": "math:arxiv_73606", "predicate": "proves", "object": "we investigate the coarse homology of leaves in foliations of compact manifolds . \n this is motivate"}
{"subject": "math:arxiv_73626", "predicate": "proves", "object": "the paper is concerned with conservative solutions to the nonlinear wave equation @xmath0 . for an o"}
{"subject": "math:arxiv_73627", "predicate": "proves", "object": "a novel approach is developed to find the three - body breakup amplitudes and cross sections within "}
{"subject": "math:arxiv_73673", "predicate": "proves", "object": "we derive a formula for the light field of a monochromatic plane wave that is truncated and reflecte"}
{"subject": "math:arxiv_73680", "predicate": "proves", "object": "in quintessence models , the dark energy content of the universe is described by a slowly rolling sc"}
{"subject": "math:arxiv_73688", "predicate": "proves", "object": "matt blum conjectured that the number of tilings of a hexagonal dungeon with side - lengths @xmath0 "}
{"subject": "math:arxiv_73692", "predicate": "proves", "object": "the current standard model of cosmology , the @xmath0cdm model , is based on the homogeneous flrw so"}
{"subject": "math:arxiv_73694", "predicate": "proves", "object": "the courant - friedrichs - lewy ( cfl ) condition guarantees the stability of the popular explicit l"}
{"subject": "math:arxiv_73696", "predicate": "proves", "object": "let @xmath0 be the uniform random graph with @xmath1 vertices and @xmath2 edges . \n erds and rnyi ( "}
{"subject": "math:arxiv_73715", "predicate": "proves", "object": "we consider a system of @xmath0-th order nonlinear quasilinear partial differential equations of the"}
{"subject": "math:arxiv_73731", "predicate": "proves", "object": "the lamb shift ( ls ) of hydrogenlike atom is evaluated by a simple method of quantum electrodynamic"}
{"subject": "math:arxiv_73754", "predicate": "proves", "object": "the route to chaos as the pump power is raised in the lorenz - like @xmath0 laser is studied using t"}
{"subject": "math:arxiv_73777", "predicate": "proves", "object": "we prove a theorem on direct relation between the optimal fidelity @xmath0 of teleportation and the "}
{"subject": "math:arxiv_73785", "predicate": "proves", "object": "we estimate the minimal mass of selfgravitating polytropic disks using the famous sobolev inequality"}
{"subject": "math:arxiv_73797", "predicate": "proves", "object": "numerically solving the boltzmann kinetic equations with the small knudsen number is challenging due"}
{"subject": "math:arxiv_73803", "predicate": "proves", "object": "the maxwell equations for the electromagnetic potential , supplemented by the lorenz gauge condition"}
{"subject": "math:arxiv_73848", "predicate": "proves", "object": "in this article , we study relations between the _ local geometry _ of planar graphs ( combinatorial"}
{"subject": "math:arxiv_73851", "predicate": "proves", "object": "we present a rigorous next - to - leading order analysis of @xmath0 yield and polarization within th"}
{"subject": "math:arxiv_73855", "predicate": "proves", "object": "in this paper , we construct a combinatorial algebra of partial isomorphisms that gives rise to a ``"}
{"subject": "math:arxiv_73867", "predicate": "proves", "object": "viscous corrections to relativistic hydrodynamics , which are usually formulated for small velocity "}
{"subject": "math:arxiv_73884", "predicate": "proves", "object": "the analytical transfer matrix technique is applied to the schrdinger equation of symmetric quartic "}
{"subject": "math:arxiv_73892", "predicate": "proves", "object": "we construct a solution to the equation of motion of hamiltonian lattice qcd in the strong coupling "}
{"subject": "math:arxiv_73902", "predicate": "proves", "object": "we consider spaces for which there is a notion of harmonicity for complex valued functions defined o"}
{"subject": "math:arxiv_73908", "predicate": "proves", "object": "a stochastic version of the brusselator model is proposed and studied via the system size expansion "}
{"subject": "math:arxiv_73925", "predicate": "proves", "object": "in this paper we disprove three conjectures from [ m. dehmer , f. emmert - streib , y. shi , _ inter"}
{"subject": "math:arxiv_73938", "predicate": "proves", "object": "we develop an analytical theory for diffusive random lasers by coupling the transport theory of the "}
{"subject": "math:arxiv_73941", "predicate": "proves", "object": "we study the possibility of asymmetric dark matter with self - interactions forming compact stable o"}
{"subject": "math:arxiv_73944", "predicate": "proves", "object": "intrinsic time quantum geometrodynamics resolved ` the problem of time ' and bridged the deep divide"}
{"subject": "math:arxiv_73951", "predicate": "proves", "object": "we consider non - local properties of quanternionic quantum mechanics , in which the complex numbers"}
{"subject": "math:arxiv_73961", "predicate": "proves", "object": "we study the inverse boundary value problem for the wave equation using the single - layer potential"}
{"subject": "math:arxiv_73963", "predicate": "proves", "object": "a formula for the non - elementary integral @xmath0 , where @xmath1 is complex and @xmath2 is real a"}
{"subject": "math:arxiv_73977", "predicate": "proves", "object": "we study dynamic minimization problems of the calculus of variations with generalized lagrangian fun"}
{"subject": "math:arxiv_73993", "predicate": "proves", "object": "ribbon , linking number , twist , writhe , gauss map , curve framing a central result in the space g"}
{"subject": "math:arxiv_73997", "predicate": "proves", "object": "given a classical semisimple complex algebraic group @xmath0 and a symmetric pair @xmath1 of hermiti"}
{"subject": "math:arxiv_74001", "predicate": "proves", "object": "a set of quantum hydrodynamic equations are derived from the moments of the electrostatic mean - fie"}
{"subject": "math:arxiv_74007", "predicate": "proves", "object": "the diffusion equation is extended by including spatial - temporal memory in such a manner that the "}
{"subject": "math:arxiv_74016", "predicate": "proves", "object": "the scattering of polarized light incident from one dielectric medium on its two - dimensional rando"}
{"subject": "math:arxiv_74040", "predicate": "proves", "object": "we compute the ozsvth \n szab contact invariants for all tight contact structures on the manifolds @x"}
{"subject": "math:arxiv_74045", "predicate": "proves", "object": "in three - dimensional quantum electrodynamics ( qed@xmath0 ) with massive gauge boson , we investig"}
{"subject": "math:arxiv_74052", "predicate": "proves", "object": "we consider the effect of radiation pressure from ionizing photons on black hole ( bh ) mass estimat"}
{"subject": "math:arxiv_74065", "predicate": "proves", "object": "in this paper we study a @xmath0-dimensional analytic subvariety of the complex algebraic torus . \n "}
{"subject": "math:arxiv_74068", "predicate": "proves", "object": "sliding motion is evolution on a switching manifold of a discontinuous , piecewise - smooth system o"}
{"subject": "math:arxiv_74085", "predicate": "proves", "object": "a square potential well with position - dependent mass is studied for bound states . applying approp"}
{"subject": "math:arxiv_74092", "predicate": "proves", "object": "we present nonlinear mean - field @xmath0 dynamo simulations in spherical geometry with simplified p"}
{"subject": "math:arxiv_74094", "predicate": "proves", "object": "noncommutativity lays hidden in the proofs of classical dynamics . \n modern frameworks can be used t"}
{"subject": "math:arxiv_74101", "predicate": "proves", "object": "if the geometry of space - time is @xmath0 , @xmath1 @xmath2=i \\theta_{\\mu \\nu}$ ] , then @xmath0 @x"}
{"subject": "math:arxiv_74112", "predicate": "proves", "object": "dynamics of vector dark solitons in two - component bose - einstein condensates is studied within th"}
{"subject": "math:arxiv_74122", "predicate": "proves", "object": "in this first part of the paper , we define a natural dual object for manifolds with corners and sho"}
{"subject": "math:arxiv_74148", "predicate": "proves", "object": "we present density functional theory calculations on the crystal structure , equation of state , vib"}
{"subject": "math:arxiv_74160", "predicate": "proves", "object": "let @xmath0 be the chiral algebra corresponding to the affine kac - moody algebra at the critical le"}
{"subject": "math:arxiv_74175", "predicate": "proves", "object": "the evolution equations of the gauge and yukawa couplings are derived for the two - loop renormalisa"}
{"subject": "math:arxiv_74181", "predicate": "proves", "object": "with the advent of physical unclonable functions ( pufs ) , puf - based quantum authentication syste"}
{"subject": "math:arxiv_74184", "predicate": "proves", "object": "the accuracy of equation - of - state formulations is compared for theoretical total energies or exp"}
{"subject": "math:arxiv_74185", "predicate": "proves", "object": "we construct triply periodic zero mean curvature surfaces of mixed type in the lorentz - minkowski 3"}
{"subject": "math:arxiv_74194", "predicate": "proves", "object": "we show how one can be led from considerations of quantum steering to bell s theorem . \n we begin wi"}
{"subject": "math:arxiv_74204", "predicate": "proves", "object": "we present a systematic way of derivation of the algebraic curves of separation of variables for the"}
{"subject": "math:arxiv_74210", "predicate": "proves", "object": "we present a pedagogical discussion of the coriolis field , emphasizing its not - so - well - unders"}
{"subject": "math:arxiv_74234", "predicate": "proves", "object": "we prove existence of positive ground state solutions to the pseudo - relativistic schrdinger equati"}
{"subject": "math:arxiv_74240", "predicate": "proves", "object": "let @xmath0 be a riemannian manifold and @xmath1 a @xmath2 submanifold without boundary . \n if we mu"}
{"subject": "math:arxiv_74241", "predicate": "proves", "object": "we shall examine various types of equations of state for neutron stars , which determine the structu"}
{"subject": "math:arxiv_74242", "predicate": "proves", "object": "the stabilization algorithm of weisfeiler and leman has as an input any square matrix @xmath0 of ord"}
{"subject": "math:arxiv_74282", "predicate": "proves", "object": "we present an exact quantization condition for the time independent solutions ( energy eigenstates )"}
{"subject": "math:arxiv_74322", "predicate": "proves", "object": "a selfconsistent system of equations describing evolution of linear spherically symmetric perturbati"}
{"subject": "math:arxiv_74325", "predicate": "proves", "object": "in this paper we propose a method which provides a full description of solitary wave solutions of th"}
{"subject": "math:arxiv_74327", "predicate": "proves", "object": "we consider the elliptic - elliptic , focussing davey - stewartson equations , which have an explici"}
{"subject": "math:arxiv_74338", "predicate": "proves", "object": "in this note we present a characterization of those open @xmath0-manifolds ( @xmath1 ) , whose produ"}
{"subject": "math:arxiv_74357", "predicate": "proves", "object": "the null geodesic equations that describe motion of photons in kerr spacetime are solved exactly in "}
{"subject": "math:arxiv_74363", "predicate": "proves", "object": "we investigate equilibrium sequences of relativistic stars containing purely toroidal magnetic field"}
{"subject": "math:arxiv_74393", "predicate": "proves", "object": "we investigate quaternionic contact ( qc ) manifolds from the point of view of intrinsic torsion . \n"}
{"subject": "math:arxiv_74396", "predicate": "proves", "object": "the dirac equation is solved to obtain its approximate bound states for a spin-@xmath0 particle in t"}
{"subject": "math:arxiv_74398", "predicate": "proves", "object": "we prove a factorization theorem in qcd for the color suppressed decays @xmath0 and @xmath1 where @x"}
{"subject": "math:arxiv_74399", "predicate": "proves", "object": "the basic framework for a systematic construction of a quantum theory of riemannian geometry was int"}
{"subject": "math:arxiv_74407", "predicate": "proves", "object": "the cahn  hilliard equation with an externally - prescribed chaotic shear flow is studied in two and"}
{"subject": "math:arxiv_74408", "predicate": "proves", "object": "let @xmath0 be a symplectic toric manifold acted on by a torus @xmath1 . in this work we exhibit an "}
{"subject": "math:arxiv_74416", "predicate": "proves", "object": "we investigate two modes of coupling the feedback energy from a central agn to the neighbouring gas "}
{"subject": "math:arxiv_74428", "predicate": "proves", "object": "we study a bosonic gas of hard spheres by using of the exact zero - temperature path - integral grou"}
{"subject": "math:arxiv_74447", "predicate": "proves", "object": "due to the axioms of quantum mechanics , perfect cloning of an unknown quantum state is impossible ."}
{"subject": "math:arxiv_74461", "predicate": "proves", "object": "in this paper the non - linear wave equation with a spatial inhomogeneity is considered . \n the inho"}
{"subject": "math:arxiv_74473", "predicate": "proves", "object": "according to goldbach conjecture , any even number can be broken up as the sum of two prime numbers "}
{"subject": "math:arxiv_74491", "predicate": "proves", "object": "we develop and analyze a two - mode phase - field - crystal model to describe fcc ordering . \n the m"}
{"subject": "math:arxiv_74516", "predicate": "proves", "object": "loop quantum gravity is an approach to quantum gravity that starts from the hamiltonian formulation "}
{"subject": "math:arxiv_74517", "predicate": "proves", "object": "the aim of this paper ( inspired from a problem of habegger ) is to describe the set of cubical deco"}
{"subject": "math:arxiv_74522", "predicate": "proves", "object": "we discuss two constructions of the poisson bivectors based on the euler - jacobi theorem for the no"}
{"subject": "math:arxiv_74559", "predicate": "proves", "object": "the steady state of ions diffusion in polymer electrolytes at arbitrary applied voltage is analyzed "}
{"subject": "math:arxiv_74564", "predicate": "proves", "object": "the objective of this work is to develop a recursive , discrete time quantum filtering equation for "}
{"subject": "math:arxiv_74575", "predicate": "proves", "object": "we study the topology of the space of positive scalar curvature metrics on high dimensional spheres "}
{"subject": "math:arxiv_74591", "predicate": "proves", "object": "a discontinuous galerkin method for approximating the vlasov - poisson system of equations describin"}
{"subject": "math:arxiv_74603", "predicate": "proves", "object": "dynamical processes taking place on real networks define on them evolving subnetworks whose topology"}
{"subject": "math:arxiv_74644", "predicate": "proves", "object": "the idea is to identify certain path algebra elements with symmetric functions . \n we propose such a"}
{"subject": "math:arxiv_74651", "predicate": "proves", "object": "by employing a chapman - enskog like iterative solution of the boltzmann equation in relaxation - ti"}
{"subject": "math:arxiv_74681", "predicate": "proves", "object": "the agl equation includes all multiple pomeron exchanges in the double logarithmic approximation ( d"}
{"subject": "math:arxiv_74709", "predicate": "proves", "object": "we present explicit kinetic equations for quantum transport through a general molecular quantum - do"}
{"subject": "math:arxiv_74714", "predicate": "proves", "object": "by assuming that not only counter - ions but dna molecules as well are thermally distributed accordi"}
{"subject": "math:arxiv_74733", "predicate": "proves", "object": "we present a rational approximation for rapid and accurate computation of the voigt function , obtai"}
{"subject": "math:arxiv_74751", "predicate": "proves", "object": "benjamini , shinkar , and tsur stated the following conjecture on the acquaintance time : asymptotic"}
{"subject": "math:arxiv_74752", "predicate": "proves", "object": "we study discrete vortices in coupled discrete nonlinear schrdinger equations . \n we focus on the vo"}
{"subject": "math:arxiv_74773", "predicate": "proves", "object": "in this work we provide a decomposition theorem for the class of quaternary and non - binary signed "}
{"subject": "math:arxiv_74783", "predicate": "proves", "object": "the application of renormalization group ( rg ) methods to microscopic nuclear many - body calculati"}
{"subject": "math:arxiv_74806", "predicate": "proves", "object": "we investigate both analytically and numerically the renormalization group equations in @xmath0 @xma"}
{"subject": "math:arxiv_74808", "predicate": "proves", "object": "long - lived _ quasistationary states _ , associated with stationary stable solutions of the vlasov "}
{"subject": "math:arxiv_74812", "predicate": "proves", "object": "the weibel instability in the quantum plasma case is treated by means of a fluid - like ( moments ) "}
{"subject": "math:arxiv_74821", "predicate": "proves", "object": "a heat conduction problem is studied using extended hydrodynamic equations obtained from enskog s eq"}
{"subject": "math:arxiv_74828", "predicate": "proves", "object": "we consider `` unconstrained '' random @xmath0-xorsat , which is a uniformly random system of @xmath"}
{"subject": "math:arxiv_74839", "predicate": "proves", "object": "this talk gives a survey of our recent studies on soliton solutions of the kadomtsev - petviashvili "}
{"subject": "math:arxiv_74860", "predicate": "proves", "object": "the aim of this study is to find a generic method for generating a path of the solution of a given s"}
{"subject": "math:arxiv_74878", "predicate": "proves", "object": "stochastic expansions , hopf algebras , numerical approximation we study solutions to nonlinear stoc"}
{"subject": "math:arxiv_74882", "predicate": "proves", "object": "spline galerkin methods for the double layer potential equation on contours with corners are studied"}
{"subject": "math:arxiv_74927", "predicate": "proves", "object": "we present our software to compute gamma - ray emission from inverse - compton scattering by cosmic "}
{"subject": "math:arxiv_74948", "predicate": "proves", "object": "we discuss the problem of renormalization of dynamical equations which arises in an effective field "}
{"subject": "math:arxiv_74953", "predicate": "proves", "object": "the well known ( 3 + 1 ) decomposition of thorne and macdonald is invoked to write down the einstein"}
{"subject": "math:arxiv_74961", "predicate": "proves", "object": "the theory of random matrices contains many central limit theorems . \n we have central limit theorem"}
{"subject": "math:arxiv_74964", "predicate": "proves", "object": "the ubiquity of oscillations in epidemics presents a long standing challenge for the formulation of "}
{"subject": "math:arxiv_75032", "predicate": "proves", "object": "we study in some detail the master equation , and its solution in a simplified case modelling flavou"}
{"subject": "math:arxiv_75039", "predicate": "proves", "object": "spatially averaged inhomogeneous cosmologies in classical general relativity can be written in the f"}
{"subject": "math:arxiv_75044", "predicate": "proves", "object": "in this paper we complete the proof of cldraru s conjecture on the compatibility between the module "}
{"subject": "math:arxiv_75047", "predicate": "proves", "object": "near conformal dynamics is employed in different extensions of the standard model of particle intera"}
{"subject": "math:arxiv_75056", "predicate": "proves", "object": "we investigate finite volume effects in the propagators of landau gauge yang - mills theory using dy"}
{"subject": "math:arxiv_75062", "predicate": "proves", "object": "we propose a system of real - space envelope function equations without fitting parameters for model"}
{"subject": "math:arxiv_75071", "predicate": "proves", "object": "a non - relativistic fokker - planck equation for the electron distribution function is formulated i"}
{"subject": "math:arxiv_75085", "predicate": "proves", "object": "we solve the initial value problem for the linearized mean field kramers equation describing brownia"}
{"subject": "math:arxiv_75106", "predicate": "proves", "object": "in - medium sum rules following from the chiral charge algebra of qcd are reviewed , and new sum rul"}
{"subject": "math:arxiv_75107", "predicate": "proves", "object": "we describe a new large class of lorentzian kac  moody algebras . for all ranks , \n we classify 2-re"}
{"subject": "math:arxiv_75108", "predicate": "proves", "object": "we formulate and study the effective low - energy quantum theory of interacting long - wavelength ac"}
{"subject": "math:arxiv_75111", "predicate": "proves", "object": "we derive an explicit formula for the vertex amplitude of dual @xmath0 yang - mills theory in four d"}
{"subject": "math:arxiv_75115", "predicate": "proves", "object": "the causal structure of a strongly causal spacetime is particularly well endowed . not only does it "}
{"subject": "math:arxiv_75125", "predicate": "proves", "object": "this article simply presents several coordinate systems for 2 and 3-dimensional hyperbolic spaces , "}
{"subject": "math:arxiv_75128", "predicate": "proves", "object": "we develop a formalism to study linearized perturbations around the equilibria of a pure exchange ec"}
{"subject": "math:arxiv_75131", "predicate": "proves", "object": "let @xmath0 be a holomorphic submersion from a complex manifold @xmath1 onto a @xmath2-convex manifo"}
{"subject": "math:arxiv_75144", "predicate": "proves", "object": "we present a second - order upwind numerical scheme for equations of relativistic hydrodynamics with"}
{"subject": "math:arxiv_75146", "predicate": "proves", "object": "neumann - lara ( 1985 ) and krekovski conjectured that every planar digraph with digirth at least th"}
{"subject": "math:arxiv_75148", "predicate": "proves", "object": "we propose a novel mathematical method to construct an exact polytropic sphere in self - gravitating"}
{"subject": "math:arxiv_75156", "predicate": "proves", "object": "we study phonon - mediated transitions between translational levels of an atom in a surface - induce"}
{"subject": "math:arxiv_75171", "predicate": "proves", "object": "einstein s static model is the first relativistic cosmological model . \n the model is static , finit"}
{"subject": "math:arxiv_75185", "predicate": "proves", "object": "the problem of error correction in both coherent and noncoherent network coding is considered under "}
{"subject": "math:arxiv_75194", "predicate": "proves", "object": "we prove the strong normalization of full classical natural deduction ( i.e. with conjunction , disj"}
{"subject": "math:arxiv_75200", "predicate": "proves", "object": "we derive a general master equation relating the gravitational - wave observables @xmath0 and @xmath"}
{"subject": "math:arxiv_75212", "predicate": "proves", "object": "different families of states , which are solutions of the time - dependent free schrdinger equation "}
{"subject": "math:arxiv_75241", "predicate": "proves", "object": "a self - transverse immersion of a smooth manifold @xmath0 in @xmath1 has a double point self - inte"}
{"subject": "math:arxiv_75250", "predicate": "proves", "object": "the diffusion of astrophysical magnetic fields in conducting fluids in the presence of turbulence de"}
{"subject": "math:arxiv_75281", "predicate": "proves", "object": "diffusion of impurities in a granular gas undergoing homogeneous cooling state is studied . \n the re"}
{"subject": "math:arxiv_75296", "predicate": "proves", "object": "in this paper , we construct and study solutions of einstein s equations in vacuum with a positive c"}
{"subject": "math:arxiv_75302", "predicate": "proves", "object": "recently several authors have developed multilinear and in particular quadratic extensions of the cl"}
{"subject": "math:arxiv_75303", "predicate": "proves", "object": "we have considered a hot neutron star with a quark core , a mixed phase of quark - hadron matter , a"}
{"subject": "math:arxiv_75315", "predicate": "proves", "object": "the free particle schrodinger equation admits a non - trivial self - accelerating airy wave packet s"}
{"subject": "math:arxiv_75319", "predicate": "proves", "object": "we strengthen the link between holomorphic and generating - function invariants of legendrian knots "}
{"subject": "math:arxiv_75327", "predicate": "proves", "object": "we present a numerical solution of the four - quark bethe - salpeter equation for a scalar tetraquar"}
{"subject": "math:arxiv_75351", "predicate": "proves", "object": "we present the complete set of analytical solutions of the geodesic equation in taub  nut space  tim"}
{"subject": "math:arxiv_75357", "predicate": "proves", "object": "the theory of the preroughening transition of an unreconstructed surface , and the ensuing disordere"}
{"subject": "math:arxiv_75371", "predicate": "proves", "object": "we generalize hansen  strobl s definition of courant algebroids twisted by a 4-form on the base mani"}
{"subject": "math:arxiv_75381", "predicate": "proves", "object": "gravitational collapse of frw brane world embedded in a conformaly flat bulk is considered for matte"}
{"subject": "math:arxiv_75387", "predicate": "proves", "object": "for a given a normally hyperbolic invariant manifold , whose stable and unstable manifolds intersect"}
{"subject": "math:arxiv_75393", "predicate": "proves", "object": "a previously proposed algebra of asymptotic fields in quantum electrodynamics is formulated as a net"}
{"subject": "math:arxiv_75404", "predicate": "proves", "object": "just after the dirac equation was established , a number of physicists tried to comment on and solve"}
{"subject": "math:arxiv_75405", "predicate": "proves", "object": "we analyse the unravelling of the quantum optical master equation at finite temperature due to direc"}
{"subject": "math:arxiv_75414", "predicate": "proves", "object": "it is shown that the scattering length can be obtained by solving a riccati equation derived from va"}
{"subject": "math:arxiv_75417", "predicate": "proves", "object": "we apply a homogenization process to the acoustic velocity potential wave equation . \n the study of "}
{"subject": "math:arxiv_75420", "predicate": "proves", "object": "in space dimension @xmath0 , we consider the electromagnetic schrdinger hamiltonian @xmath1 and the "}
{"subject": "math:arxiv_75421", "predicate": "proves", "object": "we show that any topological toric manifold can be covered by finitely many open charts so that all "}
{"subject": "math:arxiv_75427", "predicate": "proves", "object": "combining a recent derivation of the cmb evolution equations for homogeneous but anisotropic ( bianc"}
{"subject": "math:arxiv_75439", "predicate": "proves", "object": "we obtain a first order differential equation for the driving function of the chordal loewner differ"}
{"subject": "math:arxiv_75448", "predicate": "proves", "object": "phantom dark energy is a proposal that explains the current observations that mildly favor the equat"}
{"subject": "math:arxiv_75466", "predicate": "proves", "object": "we present here a general framework , expressed by a system of nonlinear differential equations , su"}
{"subject": "math:arxiv_75478", "predicate": "proves", "object": "bell s theorem started with two qubits ( spins @xmath0 ) . \n it is a no - go statement on classical "}
{"subject": "math:arxiv_75491", "predicate": "proves", "object": "the canonical function method ( cfm ) is a powerful accurate and fast method that solves the schrdin"}
{"subject": "math:arxiv_75501", "predicate": "proves", "object": "we extend the idea of quantum phase transitions of light in atom - photon system with dicke - bose -"}
{"subject": "math:arxiv_75505", "predicate": "proves", "object": "a smale space is a chaotic dynamical system with canonical coordinates of contracting and expanding "}
{"subject": "math:arxiv_75507", "predicate": "proves", "object": "a theorem on the magnetic energy minimum in a perfect , or ideal , conductor is proved . \n contrary "}
{"subject": "math:arxiv_75533", "predicate": "proves", "object": "we construct new equations of state for baryons at sub - nuclear densities for the use in core - col"}
{"subject": "math:arxiv_75549", "predicate": "proves", "object": "we develop a complete mathematical theory for the symmetrical solutions of the generalized nonlinear"}
{"subject": "math:arxiv_75560", "predicate": "proves", "object": "it has been shown that a noncommutative - geometry background may be able to support traversable wor"}
{"subject": "math:arxiv_75578", "predicate": "proves", "object": "we study the adsorption geometry of 3,4,9,10-perylene - tetracarboxylic - dianhydride ( ptcda ) on a"}
{"subject": "math:arxiv_75582", "predicate": "proves", "object": "we establish a result concerning the so - called lagrangian controllability of the euler equation fo"}
{"subject": "math:arxiv_75583", "predicate": "proves", "object": "we evaluate the in - medium spectral functions for pions , nucleon and isobar resonances in a self c"}
{"subject": "math:arxiv_75585", "predicate": "proves", "object": "the method of truncated mellin moments in a solving qcd evolution equations of the nonsinglet struct"}
{"subject": "math:arxiv_75589", "predicate": "proves", "object": "the linearized field equations of general relativity in harmonic coordinates are given by an inhomog"}
{"subject": "math:arxiv_75598", "predicate": "proves", "object": "based on the ewald - oseen extinction theorem , the omnidirectional total transmission of waves inci"}
{"subject": "math:arxiv_75614", "predicate": "proves", "object": "we study the canonical quantum theory of the reissner - nordstrm - de sitter black hole(rnds ) . \n w"}
{"subject": "math:arxiv_75625", "predicate": "proves", "object": "we consider a model case for a strictly convex domain @xmath0 of dimension @xmath1 with smooth bound"}
{"subject": "math:arxiv_75638", "predicate": "proves", "object": "we propose a new algebraic framework to discuss and classify recognizable tree languages , and to ch"}
{"subject": "math:arxiv_75652", "predicate": "proves", "object": "we present and describe an exact solution of einstein s equations which represents a snapping cosmic"}
{"subject": "math:arxiv_75654", "predicate": "proves", "object": "a special theorem related to the fagnano s problem is proved and an example of the theorem is shown "}
{"subject": "math:arxiv_75667", "predicate": "proves", "object": "a system consisting of two identical single - mode cavities coupled to a common environment is inves"}
{"subject": "math:arxiv_75669", "predicate": "proves", "object": "we develop a new approach to deal with qubit information systems using toric geometry and its relati"}
{"subject": "math:arxiv_75672", "predicate": "proves", "object": "the suspension noise in interferometric gravitational wave detectors is caused by losses at the top "}
{"subject": "math:arxiv_75675", "predicate": "proves", "object": "we present a single - shot system to recover surface geometry of objects with spatially - varying al"}
{"subject": "math:arxiv_75679", "predicate": "proves", "object": "applying stochastic differential equations , we study the squeezing and statistical properties of th"}
{"subject": "math:arxiv_75695", "predicate": "proves", "object": "in this work we study the polytope associated with a 0/1 integer programming formulation for the equ"}
{"subject": "math:arxiv_75717", "predicate": "proves", "object": "the equations of motion of lossless compressible nonclassical fluids under the so - called green  na"}
{"subject": "math:arxiv_75718", "predicate": "proves", "object": "this article proposes for stochastic partial differential equations ( spdes ) driven by additive noi"}
{"subject": "math:arxiv_75747", "predicate": "proves", "object": "poisson representation techniques provide a powerful method for mapping master equations for birth /"}
{"subject": "math:arxiv_75750", "predicate": "proves", "object": "we have found correlations between properties of the equation of state for stellar matter with a pha"}
{"subject": "math:arxiv_75762", "predicate": "proves", "object": "we consider the modification of the cahn - hilliard equation when a time delay process through a mem"}
{"subject": "math:arxiv_75777", "predicate": "proves", "object": "we develop a diagrammatic theory for transport of waves in disordered media with weak nonlinearity ."}
{"subject": "math:arxiv_75779", "predicate": "proves", "object": "we show that in many examples the non - displaceability of lagrangian submanifolds by hamiltonian is"}
{"subject": "math:arxiv_75787", "predicate": "proves", "object": "we take the gauss linking integral of two curves as a starting point to discuss the connection betwe"}
{"subject": "math:arxiv_75791", "predicate": "proves", "object": "we give a generalization to an infinite tree geometry of vidal s infinite time - evolving block deci"}
{"subject": "math:arxiv_75793", "predicate": "proves", "object": "we construct a categorification of the maximal commutative subalgebra of the type @xmath0 hecke alge"}
{"subject": "math:arxiv_75794", "predicate": "proves", "object": "in this paper we prove the theorem that there exists no @xmath0dimensional lie group manifold @xmath"}
{"subject": "math:arxiv_75810", "predicate": "proves", "object": "we study four different approximations for finding the profile of discrete solitons in the one - dim"}
{"subject": "math:arxiv_75826", "predicate": "proves", "object": "a quantization procedure , which has recently been introduced for the analysis of painlev equations "}
{"subject": "math:arxiv_75833", "predicate": "proves", "object": "the van der waals ( vdw ) equation of state is a simple and popular model to describe the pressure f"}
{"subject": "math:arxiv_75836", "predicate": "proves", "object": "we use lattice topology as a laboratory to compare the wilson action ( wa ) with the symanzik - weis"}
{"subject": "math:arxiv_75837", "predicate": "proves", "object": "in this work we calculate the equation of state of nuclear matter for different proton fractions at "}
{"subject": "math:arxiv_75848", "predicate": "proves", "object": "the analytical formula for the time - resolved dynamical franz - keldysh effect ( tr - dfke ) under "}
{"subject": "math:arxiv_75858", "predicate": "proves", "object": "we derive the generalized boltzmann equation ( gbe ) near equilibrium from the kadanoff - baym equat"}
{"subject": "math:arxiv_75859", "predicate": "proves", "object": "this is a brief and informal introduction to cluster algebras . \n it roughly follows the historical "}
{"subject": "math:arxiv_75862", "predicate": "proves", "object": "we present a relativistic in - medium three - body equation to study correlations in hot and dense q"}
{"subject": "math:arxiv_75867", "predicate": "proves", "object": "evolutionary social dilemma games are extended by an additional matching - pennies game that modifie"}
{"subject": "math:arxiv_75871", "predicate": "proves", "object": "by introducing hilbert space and operators , we show how probabilities , approximations and entropy "}
{"subject": "math:arxiv_75877", "predicate": "proves", "object": "we use the bogoliubov theory of bose - einstein condensation to study the properties of dipolar part"}
{"subject": "math:arxiv_75890", "predicate": "proves", "object": "let @xmath0 be a @xmath1 diffeomorphism on a banach space @xmath2 . \n @xmath0 has a homoclinic tube "}
{"subject": "math:arxiv_75903", "predicate": "proves", "object": "we generalize the abel  ruffini theorem to arbitrary dimension , i.e. classify general square system"}
{"subject": "math:arxiv_75907", "predicate": "proves", "object": "we present a set of formulae to extract two second - order independent differential equations for th"}
{"subject": "math:arxiv_75912", "predicate": "proves", "object": "the thermodynamic parameters of the superconducting state in calcium under the pressure at @xmath0 g"}
{"subject": "math:arxiv_75913", "predicate": "proves", "object": "in this article , we investigate the wave equation in spiral geometry and study the modes of vibrati"}
{"subject": "math:arxiv_75950", "predicate": "proves", "object": "we consider several ways to test for topology directly in harmonic space by comparing the measured @"}
{"subject": "math:arxiv_75962", "predicate": "proves", "object": "we prove for the reidemeister  turaev torsion of closed oriented three - manifolds some finiteness p"}
{"subject": "math:arxiv_75964", "predicate": "proves", "object": "magnetic reconnection , or the ability of the magnetic field lines that are frozen in plasma to chan"}
{"subject": "math:arxiv_75976", "predicate": "proves", "object": "we study a general class of principal - agent problems in continuous time under hidden action . by f"}
{"subject": "math:arxiv_75983", "predicate": "proves", "object": "this work provides a thorough study of lvy , or heavy - tailed , random matrices ( lms ) . by analyz"}
{"subject": "math:arxiv_76017", "predicate": "proves", "object": "according to quantum field theory , the inflaton equation of motion does not have the local form tha"}
{"subject": "math:arxiv_76042", "predicate": "proves", "object": "this paper presents a formulation for brittle fracture in 3d elastic solids within the context of co"}
{"subject": "math:arxiv_76056", "predicate": "proves", "object": "in this paper we show that the lowest two - sided ideal of an affine hecke algebra is affine cellula"}
{"subject": "math:arxiv_76062", "predicate": "proves", "object": "the closed time - path formalism is a powerful green s function formulation to describe non - equili"}
{"subject": "math:arxiv_76067", "predicate": "proves", "object": "we study the noncommutative @xmath0 monopole solution at the second order in the noncommutativity pa"}
{"subject": "math:arxiv_76068", "predicate": "proves", "object": "we explicitly show that the new polynomial invariants for knots , upto nine crossings , agree with t"}
{"subject": "math:arxiv_76081", "predicate": "proves", "object": "this paper demonstrates the usefulness of distributed local verification of proofs , as a tool for t"}
{"subject": "math:arxiv_76082", "predicate": "proves", "object": "we address a long standing issue and determine the decorrelation efficiency of the hybrid monte carl"}
{"subject": "math:arxiv_76085", "predicate": "proves", "object": "model generation is a problem complementary to theorem proving and is important for fault analysis a"}
{"subject": "math:arxiv_76108", "predicate": "proves", "object": "inference of topological and geometric attributes of a hidden manifold from its point data is a fund"}
{"subject": "math:arxiv_76120", "predicate": "proves", "object": "we introduce an exact reformulation of a broad class of neighborhood filters , among which the bilat"}
{"subject": "math:arxiv_76123", "predicate": "proves", "object": "the subject of this paper is to present a theory for the dynamic radiation force produced by dual - "}
{"subject": "math:arxiv_76151", "predicate": "proves", "object": "a transformation is derived which takes the lorenz integrable system into the well - known euler equ"}
{"subject": "math:arxiv_76156", "predicate": "proves", "object": "in this paper , we study peculiar properties of p - wave superconductors in dilaton gravity . \n the "}
{"subject": "math:arxiv_76159", "predicate": "proves", "object": "the well known refinement of the nash equilibrium ( ne ) called an evolutionarily stable strategy ( "}
{"subject": "math:arxiv_76186", "predicate": "proves", "object": "we investigated the two - dimensional electron momentum distributions of atomic negative ions in an "}
{"subject": "math:arxiv_76208", "predicate": "proves", "object": "we study effects of imposing various forms of the kinematical constraints on the full form of the cc"}
{"subject": "math:arxiv_76209", "predicate": "proves", "object": "we describe a framework for systematic enumeration of families combinatorial structures which posses"}
{"subject": "math:arxiv_76212", "predicate": "proves", "object": "this paper investigates m - brane quantum geometry ( and its representation by equations involving t"}
{"subject": "math:arxiv_76219", "predicate": "proves", "object": "we use an interesting result of probabilistic flavor concerning the product of two permutations cons"}
{"subject": "math:arxiv_76230", "predicate": "proves", "object": "we prove eilenberg - watts theorem for 2-categories of the representation categories @xmath0 of fini"}
{"subject": "math:arxiv_76259", "predicate": "proves", "object": "we discuss the most general finsler spacetime geometry obeying the cosmological symmetry group @xmat"}
{"subject": "math:arxiv_76263", "predicate": "proves", "object": "we describe a higher dimensional generalization of ramanujan s differential equations satisfied by t"}
{"subject": "math:arxiv_76297", "predicate": "proves", "object": "the microscopic formulae of the bulk viscosity @xmath0 and the corresponding relaxation time @xmath1"}
{"subject": "math:arxiv_76311", "predicate": "proves", "object": "in the paper , the authors show that the weighted geometric mean and the logarithmic mean are bernst"}
{"subject": "math:arxiv_76321", "predicate": "proves", "object": "simple analytic considerations are applied to recently discovered patterns in a generalized fisher e"}
{"subject": "math:arxiv_76322", "predicate": "proves", "object": "an important concept in digital geometry for computer imagery is that of tunnel . in this paper \n we"}
{"subject": "math:arxiv_76339", "predicate": "proves", "object": "we introduce an accurate non - hermitian schrdinger - type approximation of bloch optical equations "}
{"subject": "math:arxiv_76373", "predicate": "proves", "object": "in this paper we introduce and study semigroups of operators on spaces of fuzzy - number - valued fu"}
{"subject": "math:arxiv_76383", "predicate": "proves", "object": "a nonuniform neumann boundary - value problem is considered for the poisson equation in a thin @xmat"}
{"subject": "math:arxiv_76385", "predicate": "proves", "object": "suppose @xmath0 is a closed irreducible orientable @xmath1-manifold , @xmath2 is a knot in @xmath0 ,"}
{"subject": "math:arxiv_76399", "predicate": "proves", "object": "a nonlinear differential equation about optimal shapes for blades of a fan . \n a boundary value diff"}
{"subject": "math:arxiv_76405", "predicate": "proves", "object": "in this paper we study the geometry of the set of real square roots of @xmath0 . after some introduc"}
{"subject": "math:arxiv_76431", "predicate": "proves", "object": "a generic upper bound is obtained for the spinless salpeter equation with two different masses . \n a"}
{"subject": "math:arxiv_76451", "predicate": "proves", "object": "arzel s bounded convergence theorem ( 1885 ) states that if a sequence of riemann integrable functio"}
{"subject": "math:arxiv_76459", "predicate": "proves", "object": "we prove that the subquartic wave equation on the three dimensional ball @xmath0 , with dirichlet bo"}
{"subject": "math:arxiv_76463", "predicate": "proves", "object": "we give an explicit formula on the ehrhart polynomial of a 3-dimensional simple integral convex poly"}
{"subject": "math:arxiv_76470", "predicate": "proves", "object": "we present a divide - and - conquer version of the cylindrical algebraic decomposition ( cad ) algor"}
{"subject": "math:arxiv_76479", "predicate": "proves", "object": "the casimir - polder interaction potential is evaluated for a polarizable microparticle and a conduc"}
{"subject": "math:arxiv_76481", "predicate": "proves", "object": "within the closed time path ( ctp ) framework , we derive kinetic equations for particle distributio"}
{"subject": "math:arxiv_76492", "predicate": "proves", "object": "we describe the ` lie algebra of classical mechanics ' , modelled on the lie algebra generated by ki"}
{"subject": "math:arxiv_76531", "predicate": "proves", "object": "we study equilibrium statistical mechanics of classical point counter - ions , formulated on 2d eucl"}
{"subject": "math:arxiv_76564", "predicate": "proves", "object": "we discuss the feasibility of measuring the cosmological geometry using the redshift space correlati"}
{"subject": "math:arxiv_76572", "predicate": "proves", "object": "conventional quantum computing entails a geometry based on the description of an @xmath0-qubit state"}
{"subject": "math:arxiv_76573", "predicate": "proves", "object": "we use the geometry of the moment map to investigate properties of pure entangled states of composit"}
{"subject": "math:arxiv_76574", "predicate": "proves", "object": "we present exact solutions of the gravitational field equations in the generalized randall - sundrum"}
{"subject": "math:arxiv_76579", "predicate": "proves", "object": "we derive semiclassical laser equations valid in all orders of nonlinearity . with the help of a dia"}
{"subject": "math:arxiv_76595", "predicate": "proves", "object": "we investigate correlation functions in a periodic box  ball system . for the two point functions of"}
{"subject": "math:arxiv_76624", "predicate": "proves", "object": "stabilization of quantum manifolds is at the heart of error - protected quantum information storage "}
{"subject": "math:arxiv_76625", "predicate": "proves", "object": "if the universe is finite and smaller than the distance to the surface of last scatter , then the si"}
{"subject": "math:arxiv_76639", "predicate": "proves", "object": "we prove that the atiyah - singer dirac operator @xmath0 in @xmath1 depends riesz continuously on @x"}
{"subject": "math:arxiv_76650", "predicate": "proves", "object": "the work @xcite is generalized to the singularly perturbed nonlinear schrdinger ( nls ) equation of "}
{"subject": "math:arxiv_76667", "predicate": "proves", "object": "we explore some aspects of phase transitions in cellular automata . \n we start recalling the standar"}
{"subject": "math:arxiv_76669", "predicate": "proves", "object": "we develop in the weak coupling approximation a quasi - non - markovian master equation and study th"}
{"subject": "math:arxiv_76687", "predicate": "proves", "object": "we use the theory of tunnel number @xmath0 knots introduced in @xcite to strengthen the tunnel level"}
{"subject": "math:arxiv_76702", "predicate": "proves", "object": "we propose a method to determine the quantum numbers , which we call the rigged configurations , for"}
{"subject": "math:arxiv_76715", "predicate": "proves", "object": "when solving the equations of general relativity in a symmetric sector , it is natural to consider t"}
{"subject": "math:arxiv_76730", "predicate": "proves", "object": "we study finite - temperature phase transition and equation of state for two - flavor qcd at @xmath0"}
{"subject": "math:arxiv_76740", "predicate": "proves", "object": "electron transport through majorana nanowire with strongly asymmetric couplings to normal metal lead"}
{"subject": "math:arxiv_76780", "predicate": "proves", "object": "i review recent developments in the studies of the phase structure and equation of state in finite t"}
{"subject": "math:arxiv_76789", "predicate": "proves", "object": "we investigate geometrical interpretations of various structure maps associated with the landweber \n"}
{"subject": "math:arxiv_76794", "predicate": "proves", "object": "# 6    plus 1000pt minus 1000pt # 1 # 1= to    # 1#2#1#2 # 1#2#3 ^ 2 # 1#2 # 3 # 1#1| # 1| # 1 # 1#1"}
{"subject": "math:arxiv_76795", "predicate": "proves", "object": "we consider flrw cosmological models with standard friedmann equations , but leaving free the equati"}
{"subject": "math:arxiv_76796", "predicate": "proves", "object": "we study the question whether the pole - model vmd approach to weak radiative hyperon decays can be "}
{"subject": "math:arxiv_76807", "predicate": "proves", "object": "strong shockwaves generate entropy quickly and locally . \n the newton - hamilton equations of motion"}
{"subject": "math:arxiv_76808", "predicate": "proves", "object": "it is shown that the generalized discrete nonlinear schrdinger equation can be reduced in a small am"}
{"subject": "math:arxiv_76809", "predicate": "proves", "object": "we investigate the structure of the instantaneous bethe - salpeter equation for @xmath0-bound states"}
{"subject": "math:arxiv_76850", "predicate": "proves", "object": "let @xmath0 be a global field and let @xmath1 be the completion of @xmath0 with respect to @xmath2 ,"}
{"subject": "math:arxiv_76859", "predicate": "proves", "object": "in this paper we solve the one - particle schrdinger equation in a magnetic field whose flux lines e"}
{"subject": "math:arxiv_76885", "predicate": "proves", "object": "we use stratified morse theory for a manifold with corners to give a new bound for the sum of the be"}
{"subject": "math:arxiv_76886", "predicate": "proves", "object": "we consider reaction - diffusion equations with combustion - type non - linearities in two dimension"}
{"subject": "math:arxiv_76936", "predicate": "proves", "object": "the landau - lifshitz ( ll ) equation , originally proposed at the macrospin level , is increasingly"}
{"subject": "math:arxiv_76941", "predicate": "proves", "object": "we identify the leading s - wave amplitudes of the su(3 ) chiral meson - baryon lagrangian with an e"}
{"subject": "math:arxiv_76956", "predicate": "proves", "object": "we derive transport equations for the propagation of water wave action in the presence of a static ,"}
{"subject": "math:arxiv_76964", "predicate": "proves", "object": "let @xmath0 be the number of quintic number fields whose galois closure has galois group @xmath1 and"}
{"subject": "math:arxiv_76975", "predicate": "proves", "object": "we review the implementation of a @xmath0-deformed fermionic algebra in the nambu  jona - lasinio mo"}
{"subject": "math:arxiv_76987", "predicate": "proves", "object": "we propose the algebro - geometric method of construction of solutions of the discrete kp equation o"}
{"subject": "math:arxiv_77001", "predicate": "proves", "object": "a new lower bound on the complexity of a 3manifold is given using the @xmath0thurston norm . \n this "}
{"subject": "math:arxiv_77005", "predicate": "proves", "object": "let @xmath0 be a metric graph of genus @xmath1 . assume there exists a natural number @xmath2 such t"}
{"subject": "math:arxiv_77007", "predicate": "proves", "object": "we study the dynamics of a nonlinear one - dimensional disordered system obtained by coupling the an"}
{"subject": "math:arxiv_77021", "predicate": "proves", "object": "zipf s law is shown to arise as the variational solution of a problem formulated in fisher s terms ."}
{"subject": "math:arxiv_77027", "predicate": "proves", "object": "we show that @xmath0-localization decreases the nisnevich - stalkwise connectivity by at most one ov"}
{"subject": "math:arxiv_77041", "predicate": "proves", "object": "within a theoretical model based on the boltzmann equation , we analyze in detail the structure of t"}
{"subject": "math:arxiv_77053", "predicate": "proves", "object": "some geometry on non - singular cubic curves , mainly over finite fields , is surveyed . \n such a cu"}
{"subject": "math:arxiv_77073", "predicate": "proves", "object": "this paper addresses combinatorial optimization schemes for solving the multicriteria steiner tree p"}
{"subject": "math:arxiv_77077", "predicate": "proves", "object": "we consider fisher - kpp equation with advection : @xmath0 for @xmath1 , where @xmath2 and @xmath3 a"}
{"subject": "math:arxiv_77089", "predicate": "proves", "object": "a formulation of non - relativistic quantum mechanics in terms of newtonian particles is presented i"}
{"subject": "math:arxiv_77109", "predicate": "proves", "object": "the year of 2005 marks the 75th anniversary since trumpler ( 1930 ) provided the first definitive pr"}
{"subject": "math:arxiv_77113", "predicate": "proves", "object": "nuclei far from stability are studied by solving the hartree - fock - bogoliubov ( hfb ) equations ,"}
{"subject": "math:arxiv_77120", "predicate": "proves", "object": "recent results indicate that the grain size and crystallinity inferred from observations of silicate"}
{"subject": "math:arxiv_77155", "predicate": "proves", "object": "we establish restrictions on lagrangian embeddings of spheres , and more generally rational homology"}
{"subject": "math:arxiv_77173", "predicate": "proves", "object": "we re - examine the approach to four - dimensional euclidean quantum gravity based on the regge calc"}
{"subject": "math:arxiv_77195", "predicate": "proves", "object": "given a quasi - hermitian semisimple lie algebra , we describe possible spectra of the sum of two ad"}
{"subject": "math:arxiv_77198", "predicate": "proves", "object": "a general equation of state is used to model unified dark matter and dark energy ( dark fluid ) , an"}
{"subject": "math:arxiv_77200", "predicate": "proves", "object": "let @xmath0 be an action of a finite group  @xmath1 on a c*-algebra  @xmath2 we present some conditi"}
{"subject": "math:arxiv_77210", "predicate": "proves", "object": "recently ooguri and yamazaki proposed a statistical model of melting crystals to count bps bound sta"}
{"subject": "math:arxiv_77237", "predicate": "proves", "object": "statistical inference for discrete time observations of an affine stochastic delay differential equa"}
{"subject": "math:arxiv_77245", "predicate": "proves", "object": "in this paper , we present a real non - linear differential equation for the two flavor neutrino osc"}
{"subject": "math:arxiv_77247", "predicate": "proves", "object": "saari s homographic conjecture , which extends a classical statement proposed by donald saari in 197"}
{"subject": "math:arxiv_77250", "predicate": "proves", "object": "we develop renormalization group ( rg ) methods for solving partial and stochastic differential equa"}
{"subject": "math:arxiv_77255", "predicate": "proves", "object": "we analyze the replicator - mutator equations for the rock - paper - scissors game . \n various graph"}
{"subject": "math:arxiv_77262", "predicate": "proves", "object": "constraints on the equation of state for symmetric matter ( equal neutron and proton numbers ) have "}
{"subject": "math:arxiv_77270", "predicate": "proves", "object": "much is known about binomial coefficients where primes are concerned , but considerably less is know"}
{"subject": "math:arxiv_77284", "predicate": "proves", "object": "a generally parameterized equation of state ( eos ) is investigated in the cosmological evolution wi"}
{"subject": "math:arxiv_77306", "predicate": "proves", "object": "we analyze the effect of pairing on particle transport in time - dependent theories based on the har"}
{"subject": "math:arxiv_77325", "predicate": "proves", "object": "we prove a number of new restrictions on the enumerative properties of homology manifolds and semi -"}
{"subject": "math:arxiv_77344", "predicate": "proves", "object": "the hamilton - jacobi - bellman equation ( hjb ) associated with the time inhomogeneous singular con"}
{"subject": "math:arxiv_77351", "predicate": "proves", "object": "in this paper , we classify smooth @xmath0-manifolds with fundamental group isomorphic to @xmath1 an"}
{"subject": "math:arxiv_77353", "predicate": "proves", "object": "we numerically solve the set of dynamical equations describing advection - dominated accretion flows"}
{"subject": "math:arxiv_77358", "predicate": "proves", "object": "the regge calculus is a powerful method to approximate a continuous manifold by a simplicial lattice"}
{"subject": "math:arxiv_77362", "predicate": "proves", "object": "we formulate a phenomenological elasto - plastic theory to describe a solid undergoing a structural "}
{"subject": "math:arxiv_77387", "predicate": "proves", "object": "this article contains a wiener lemma for the convolution algebra @xmath0 and group @xmath1-algebra @"}
{"subject": "math:arxiv_77394", "predicate": "proves", "object": "size - change termination is an increasingly - popular technique for verifying program termination ."}
{"subject": "math:arxiv_77409", "predicate": "proves", "object": "representing the data on grassmann manifolds is popular in quite a few image and video recognition t"}
{"subject": "math:arxiv_77411", "predicate": "proves", "object": "in this paper , we further investigate the global dynamics of a stochastic differential equation sis"}
{"subject": "math:arxiv_77433", "predicate": "proves", "object": "we propose a new spectral lagrangian based deterministic solver for the non - linear boltzmann trans"}
{"subject": "math:arxiv_77453", "predicate": "proves", "object": "in by now classical work , k.  erdmann classified blocks of finite groups with dihedral defect group"}
{"subject": "math:arxiv_77459", "predicate": "proves", "object": "we study legendrian embeddings of a compact legendrian submanifold @xmath0 sitting in a closed conta"}
{"subject": "math:arxiv_77464", "predicate": "proves", "object": "we derive envelope equations which generate the maxwell - lorentz model and describe the interaction"}
{"subject": "math:arxiv_77470", "predicate": "proves", "object": "we establish the uniqueness of the positive solution for equations of the form @xmath0 in @xmath1 , "}
{"subject": "math:arxiv_77481", "predicate": "proves", "object": "casson and gordon gave the rectangle condition for strong irreducibility of heegaard splittings @xci"}
{"subject": "math:arxiv_77482", "predicate": "proves", "object": "a temperley - lieb algebra is extracted from the operator structure of a new class of @xmath0 braid "}
{"subject": "math:arxiv_77513", "predicate": "proves", "object": "we investigated the conductance and shot noise properties of quasiparticle - transport through a sup"}
{"subject": "math:arxiv_77514", "predicate": "proves", "object": "we study the relationship between exotic @xmath0 s and stein surfaces as it applies to smoothing the"}
{"subject": "math:arxiv_77536", "predicate": "proves", "object": "we survey some recent results on long - standing conjectures regarding hamilton cycles in directed g"}
{"subject": "math:arxiv_77541", "predicate": "proves", "object": "we show that every small resolution of a three - dimensional terminal hypersurface singularity can o"}
{"subject": "math:arxiv_77542", "predicate": "proves", "object": "we look for nonconstant , positive , radially nondecreasing solutions of the quasilinear equation @x"}
{"subject": "math:arxiv_77551", "predicate": "proves", "object": "the dynamics of two pairs of counter - propagating waves in two - component media is considered with"}
{"subject": "math:arxiv_77581", "predicate": "proves", "object": "the gravitational properties of the _ only _ static plane - symmetric vacuum solution of einstein s "}
{"subject": "math:arxiv_77585", "predicate": "proves", "object": "the properties of a noncanonical 3d wigner quantum oscillator , whose position and momentum operator"}
{"subject": "math:arxiv_77601", "predicate": "proves", "object": "recent studies on the evolutionary dynamics of the prisoner s dilemma game in scale - free networks "}
{"subject": "math:arxiv_77605", "predicate": "proves", "object": "in this paper , we study the relevant structure of the algebra @xmath0 which makes the btz black hol"}
{"subject": "math:arxiv_77611", "predicate": "proves", "object": "let @xmath0 be a connected and simply connected lie group with lie algebra @xmath1 of finite dimensi"}
{"subject": "math:arxiv_77613", "predicate": "proves", "object": "we provide hyperbolic analogues of some classical theorems in spherical geometry due to menelaus , e"}
{"subject": "math:arxiv_77632", "predicate": "proves", "object": "given an @xmath0-tuple @xmath1 of self - adjoint operators in a finite von neumann algebra @xmath2 a"}
{"subject": "math:arxiv_77635", "predicate": "proves", "object": "the thermodynamics of solvable isotropic chains with arbitrary spins is addressed by the recently de"}
{"subject": "math:arxiv_77637", "predicate": "proves", "object": "in the scalar - tensor theory of gravitation it seems nontrivial to establish if solutions of the co"}
{"subject": "math:arxiv_77643", "predicate": "proves", "object": "we study two classes of linear difference differential equations analogous to euler - cauchy ordinar"}
{"subject": "math:arxiv_77646", "predicate": "proves", "object": "every closed subset of the riemann sphere can be approximated in the hausdorff topology by the julia"}
{"subject": "math:arxiv_77654", "predicate": "proves", "object": "the electronic structures of several actinide solid systems are calculated using the self - interact"}
{"subject": "math:arxiv_77659", "predicate": "proves", "object": "most theoretical studies of tunneling in dirac and the closely related weyl semimetals have modeled "}
{"subject": "math:arxiv_77691", "predicate": "proves", "object": "we give a new appraisal of the function @xmath0 and its zeroes in the equation @xmath1 where @xmath2"}
{"subject": "math:arxiv_77700", "predicate": "proves", "object": "we present the design and performance of a non - imaging concentrator for use in broad - band polari"}
{"subject": "math:arxiv_77727", "predicate": "proves", "object": "in this work we combine the large per - photon optical gradient force with the sensitive feedback of"}
{"subject": "math:arxiv_77736", "predicate": "proves", "object": "this thesis is broadly split into two parts . in the first part \n , simple state sum models for mini"}
{"subject": "math:arxiv_77760", "predicate": "proves", "object": "we present 6.4 kev iron @xmath0 fluorescent line profiles predicted for a relativistic black hole ac"}
{"subject": "math:arxiv_77788", "predicate": "proves", "object": "we explore the impact of in - medium modification of the properties of vector mesons on the nuclear "}
{"subject": "math:arxiv_77789", "predicate": "proves", "object": "it is well known that a symmetric soliton in coupled nonlinear schrdinger ( nls ) equations with the"}
{"subject": "math:arxiv_77796", "predicate": "proves", "object": "we examine the time evolution of the five - dimensional einstein field equations subjected to a flat"}
{"subject": "math:arxiv_77801", "predicate": "proves", "object": "an algebraic function of the third order plays an important role in the problem of asymptotics of he"}
{"subject": "math:arxiv_77822", "predicate": "proves", "object": "in this paper we provide detailed proofs for some of the uniqueness results presented in ref . \n @xc"}
{"subject": "math:arxiv_77831", "predicate": "proves", "object": "in this paper we find connection between the hofer s metric of the group of hamiltonian diffeomorphi"}
{"subject": "math:arxiv_77834", "predicate": "proves", "object": "we study spectral properties of a one - dimensional dirac equation with various disorder . \n we use "}
{"subject": "math:arxiv_77855", "predicate": "proves", "object": "calculation of statistical properties of nuclei in a finite - temperature mean - field theory requir"}
{"subject": "math:arxiv_77858", "predicate": "proves", "object": "we investigate the transport properties for a luttinger liquid coupled to two identical bose - einst"}
{"subject": "math:arxiv_77867", "predicate": "proves", "object": "in this talk we review the classification of the irreducible representations of the algebra of the @"}
{"subject": "math:arxiv_77869", "predicate": "proves", "object": "the goal of this paper is to introduce a simple finite element method to solve the stokes and the na"}
{"subject": "math:arxiv_77872", "predicate": "proves", "object": "this survey paper discusses some uniqueness questions for symplectic forms on compact manifolds with"}
{"subject": "math:arxiv_77891", "predicate": "proves", "object": "the general solution of the gravitational field equations for a full causal bulk viscous stiff cosmo"}
{"subject": "math:arxiv_77909", "predicate": "proves", "object": "we generalize previous work on the energy - momentum tensor - distribution of the kerr geometry by e"}
{"subject": "math:arxiv_77916", "predicate": "proves", "object": "using toric geometry , lattice theory , and elliptic surface techniques , we compute the picard latt"}
{"subject": "math:arxiv_77933", "predicate": "proves", "object": "these lecture notes provide a full discussion of certain analytic aspects of the uniformisation theo"}
{"subject": "math:arxiv_77951", "predicate": "proves", "object": "we consider an ergodic schrdinger operator with magnetic field within the non - interacting particle"}
{"subject": "math:arxiv_77959", "predicate": "proves", "object": "the scalar - isoscalar , scalar - isotensor and vector - isovector @xmath0 amplitudes have been fitt"}
{"subject": "math:arxiv_77963", "predicate": "proves", "object": "we analyze the role of local geometry in the spin and orbital interaction in transition metal compou"}
{"subject": "math:arxiv_77979", "predicate": "proves", "object": "a new phenomenological model of turbulent fluctuations is constructed by considering the lagrangian "}
{"subject": "math:arxiv_77987", "predicate": "proves", "object": "we consider some unitary representations of infinite dimensional lie algebras motivated by string th"}
{"subject": "math:arxiv_77989", "predicate": "proves", "object": "it is shown that it is possible to consistently and gauge invariantly formulate models where the cou"}
{"subject": "math:arxiv_78012", "predicate": "proves", "object": "we analyze the recent multi - index stochastic collocation ( misc ) method for computing statistics "}
{"subject": "math:arxiv_78019", "predicate": "proves", "object": "within the framework of the standard model plus one heavy higgs triplet , we derive a full set of on"}
{"subject": "math:arxiv_78029", "predicate": "proves", "object": "following roe and others ( see , e.g. , @xcite ) , we ( re)develop coarse geometry from the foundati"}
{"subject": "math:arxiv_78037", "predicate": "proves", "object": "the equation of state ( eos ) of finite nuclei is constructed in the relativistic thomas - fermi the"}
{"subject": "math:arxiv_78055", "predicate": "proves", "object": "the aim of this paper is to investigate the relations between seifert manifolds and @xmath0-knots . "}
{"subject": "math:arxiv_78065", "predicate": "proves", "object": "@xmath0 +    * abstract90 pt *    the flow equations of the functional renormalization group are app"}
{"subject": "math:arxiv_78071", "predicate": "proves", "object": "the spectra and electroweak decay properties of light mesons are analyzed within the framework of th"}
{"subject": "math:arxiv_78087", "predicate": "proves", "object": "we study the asymptotic convergence of the partial averaging method , a technique used in conjunctio"}
{"subject": "math:arxiv_78090", "predicate": "proves", "object": "it was conjectured that the classical bosonic string in ads times a sphere has a special action vari"}
{"subject": "math:arxiv_78100", "predicate": "proves", "object": "we survey elementary results in minkowski spaces ( i.e.  finite dimensional banach spaces ) that des"}
{"subject": "math:arxiv_78101", "predicate": "proves", "object": "we study the gravitational dirichlet problem in ads spacetimes with a view to understanding the boun"}
{"subject": "math:arxiv_78102", "predicate": "proves", "object": "we give a bijective proof of a conjecture of regev and vershik   [ [ rv ] ] on the equality of two m"}
{"subject": "math:arxiv_78114", "predicate": "proves", "object": "two conjectures of zuber [ `` on the counting of fully packed loops configurations . some new conjec"}
{"subject": "math:arxiv_78121", "predicate": "proves", "object": "in this paper , we are concerned with the numerical treatment of boundary integral equations by mean"}
{"subject": "math:arxiv_78143", "predicate": "proves", "object": "in @xcite , a notion of constant scalar curvature metrics on piecewise flat manifolds is defined . \n"}
{"subject": "math:arxiv_78164", "predicate": "proves", "object": "in this work , we perform the lie symmetry analysis on the einstein - maxwell field equations in pla"}
{"subject": "math:arxiv_78176", "predicate": "proves", "object": "navier stokes equations ; vorticity equation ; maxwell equations ; magnetohydrodynamics ; turbulence"}
{"subject": "math:arxiv_78183", "predicate": "proves", "object": "we summarize recent results on the hadron resonance gas description of qcd . \n in particular , we ap"}
{"subject": "math:arxiv_78207", "predicate": "proves", "object": "we investigate the vacuum fermionic currents in the geometry of a compactified cosmic string on back"}
{"subject": "math:arxiv_78209", "predicate": "proves", "object": "solving einstein s constraint equations for the construction of black hole initial data requires han"}
{"subject": "math:arxiv_78214", "predicate": "proves", "object": "we review our research work on the single - particle properties and the equation of state ( eos ) of"}
{"subject": "math:arxiv_78292", "predicate": "proves", "object": "let @xmath0 be a compact orientable irreducible @xmath1-manifold and @xmath2 be an unstabilized genu"}
{"subject": "math:arxiv_78326", "predicate": "proves", "object": "a phase operator formulation for a recent model of interacting one - dimensional fermions in a harmo"}
{"subject": "math:arxiv_78329", "predicate": "proves", "object": "the proton - neutron relativistic quasiparticle random phase approximation ( pn - rqrpa ) is formula"}
{"subject": "math:arxiv_78362", "predicate": "proves", "object": "the concept of `` dyadotorus '' was recently introduced to identify in the kerr - newman geometry th"}
{"subject": "math:arxiv_78368", "predicate": "proves", "object": "optical second - harmonic generation ( shg ) is studied for the confined geometry of a circular cyli"}
{"subject": "math:arxiv_78371", "predicate": "proves", "object": "we first prove some general results on pathwise uniqueness , comparison property and existence of no"}
{"subject": "math:arxiv_78380", "predicate": "proves", "object": "this paper is a short version of some joint work with stefan haller . \n it describes the structure o"}
{"subject": "math:arxiv_78382", "predicate": "proves", "object": "the statistical properties of dynamically triangulated manifolds ( dt mfds ) in terms of the geodesi"}
{"subject": "math:arxiv_78386", "predicate": "proves", "object": "in the context of fritzsch - like texture 4 zero hermitian quark mass matrices , we have attempted t"}
{"subject": "math:arxiv_78418", "predicate": "proves", "object": "we present a solution for the einstein - maxwell ( em ) equations which unifies both the magnetic be"}
{"subject": "math:arxiv_78423", "predicate": "proves", "object": "we provide evidence in favor of the conjectured duality between color and kinematics for the case of"}
{"subject": "math:arxiv_78431", "predicate": "proves", "object": "the hirota bilinear difference equation is generalized to discrete space of arbitrary dimension . \n "}
{"subject": "math:arxiv_78441", "predicate": "proves", "object": "we report a @xmath0-d charged black hole solution in an anti - de sitter space inspired by noncommut"}
{"subject": "math:arxiv_78454", "predicate": "proves", "object": "in @xcite r. f. williams showed that all knots in the lorenz template are prime . \n his proof includ"}
{"subject": "math:arxiv_78456", "predicate": "proves", "object": "mansfield showed how to induce representations of crossed products of @xmath0-algebras by coactions "}
{"subject": "math:arxiv_78459", "predicate": "proves", "object": "elliptic operators on stratified manifolds with any finite number of strata are considered . under c"}
{"subject": "math:arxiv_78479", "predicate": "proves", "object": "the non - equilibrium self - consistent generalized langevin equation theory of irreversible process"}
{"subject": "math:arxiv_78491", "predicate": "proves", "object": "the phenomenological dissipation of the bloch equations is reexamined in the context of completely p"}
{"subject": "math:arxiv_78504", "predicate": "proves", "object": "we explore the four dimensional einstein - maxwell landscape as a toy model in which we can formulat"}
{"subject": "math:arxiv_78521", "predicate": "proves", "object": "the quotient bases for zero - dimensional ideals are often of interest in the investigation of multi"}
{"subject": "math:arxiv_78533", "predicate": "proves", "object": "the physics of the inflationary universe requires the study of the out of equilibrium evolution of q"}
{"subject": "math:arxiv_78538", "predicate": "proves", "object": "we discuss new exact solutions to nonminimally extended einstein - yang - mills equations describing"}
{"subject": "math:arxiv_78547", "predicate": "proves", "object": "we introduce a finite volume scheme for the two - dimensional incompressible navier - stokes equatio"}
{"subject": "math:arxiv_78552", "predicate": "proves", "object": "the classical lusternik - schnirelman - borsuk theorem states that if a @xmath0-sphere is covered by"}
{"subject": "math:arxiv_78564", "predicate": "proves", "object": "due to the unrecognizability of certain manifolds there must exist pairs of triangulations of these "}
{"subject": "math:arxiv_78566", "predicate": "proves", "object": "kontsevich s formula for a deformation quantization of poisson structures involves a feynman series "}
{"subject": "math:arxiv_78584", "predicate": "proves", "object": "among simple @xmath0-graded lie superalgebras of polynomial growth , there are several which have no"}
{"subject": "math:arxiv_78591", "predicate": "proves", "object": "we study the transport of heat in a three dimensional , harmonic crystal of slab geometry whose boun"}
{"subject": "math:arxiv_78633", "predicate": "proves", "object": "we consider a four - fermion theory as a simple model of dynamical symmetry breaking in flat space w"}
{"subject": "math:arxiv_78654", "predicate": "proves", "object": "we present a model of selinger and valiron s quantum lambda calculus based on von neumann algebras ,"}
{"subject": "math:arxiv_78680", "predicate": "proves", "object": "a rigorous treatment is given for solving the full schrodinger equation for a spin - polarized plane"}
{"subject": "math:arxiv_78681", "predicate": "proves", "object": "let @xmath0 be a weakly reducible , unstabilized , genus three heegaard splitting in an orientable ,"}
{"subject": "math:arxiv_78689", "predicate": "proves", "object": "we consider a problem of an optimal consumption strategy on the infinite time horizon when the short"}
{"subject": "math:arxiv_78726", "predicate": "proves", "object": "brady proved that there are hyperbolic groups with finitely presented subgroups that are not of type"}
{"subject": "math:arxiv_78729", "predicate": "proves", "object": "the evolution equations of the yukawa couplings and quark mixings are derived for the one - loop ren"}
{"subject": "math:arxiv_78730", "predicate": "proves", "object": "we show that every four - dimensional parallelohedron @xmath0 satisfies a recently found condition o"}
{"subject": "math:arxiv_78737", "predicate": "proves", "object": "the gross features of the observed baryon excitation spectrum below 2 gev are well explained if the "}
{"subject": "math:arxiv_78758", "predicate": "proves", "object": "the transport coefficients of a granular fluid driven by a stochastic bath with friction are obtaine"}
{"subject": "math:arxiv_78791", "predicate": "proves", "object": "the fact that the dirac equation is linear in the space and time derivatives leads to the coupling o"}
{"subject": "math:arxiv_78793", "predicate": "proves", "object": "we present a relation which connects the propagator in the radial ( fock - schwinger ) gauge with a "}
{"subject": "math:arxiv_78821", "predicate": "proves", "object": "infrared behaviour of the fermion propagator is examined by spectral representation.assuming asympto"}
{"subject": "math:arxiv_78832", "predicate": "proves", "object": "yoshikawa @xcite conjectured that a certain set of moves on marked graph diagrams generates the isot"}
{"subject": "math:arxiv_78841", "predicate": "proves", "object": "we apply the functional renormalization group ( frg ) method to calculate the conductance of a quant"}
{"subject": "math:arxiv_78860", "predicate": "proves", "object": "effect algebras , introduced by foulis and bennett in 1994 , are partial algebras which generalize s"}
{"subject": "math:arxiv_78870", "predicate": "proves", "object": "we present a thermodynamic formulation for scale - invariant systems based on the principle of extre"}
{"subject": "math:arxiv_78875", "predicate": "proves", "object": "we study the stationary states for the nonlinear schrdinger equation on the fibonacci lattice which "}
{"subject": "math:arxiv_78878", "predicate": "proves", "object": "the half - open real unit interval @xmath0 $ ] is closed under the ordinary multiplication and its r"}
{"subject": "math:arxiv_78884", "predicate": "proves", "object": "given , in an arbitrary spacetime @xmath0 , a 2-dimensional timelike submanifold @xmath1 and an obse"}
{"subject": "math:arxiv_78889", "predicate": "proves", "object": "the treatment of elastic final state interactions ( fsi ) under a symmetry group is presented . \n th"}
{"subject": "math:arxiv_78896", "predicate": "proves", "object": "models of the magnetic field enhancement at pits are discussed . in order to build a model of pit , "}
{"subject": "math:arxiv_78898", "predicate": "proves", "object": "we prove the version of interpolation theorem for non - commutative vector - valued fully symmetric "}
{"subject": "math:arxiv_78902", "predicate": "proves", "object": "in this article i conduct a short review of the proofs of the area inside a circle . these include i"}
{"subject": "math:arxiv_78930", "predicate": "proves", "object": "we study a class of duality transformations in generalised z(2 ) gauge theories and ising models on "}
{"subject": "math:arxiv_78931", "predicate": "proves", "object": "milgram constructed a 28-vertex cubic graph of genus 4 that disproved duke s conjecture relating bet"}
{"subject": "math:arxiv_78945", "predicate": "proves", "object": "this article concerns a notion of duality between rectangles . \n a proof is given that only finitely"}
{"subject": "math:arxiv_78950", "predicate": "proves", "object": "the stochastic properties of the total internal energy of a dilute granular gas in the steady unifor"}
{"subject": "math:arxiv_78957", "predicate": "proves", "object": "using gardiner and collet s input - output model and the concept of cascade system , we determine th"}
{"subject": "math:arxiv_78974", "predicate": "proves", "object": "we consider a system of three interacting van der pol oscillators with reactive coupling . \n phase e"}
{"subject": "math:arxiv_78982", "predicate": "proves", "object": "we present the applications of variational \n wavelet approach for computing multiresolution / multis"}
{"subject": "math:arxiv_78985", "predicate": "proves", "object": "we investigate the microscopic mechanisms giving rise to plastic depinning and irreversible flow in "}
{"subject": "math:arxiv_78990", "predicate": "proves", "object": "a cosmological constant , @xmath0 , is the most natural candidate to explain the origin of the dark "}
{"subject": "math:arxiv_78991", "predicate": "proves", "object": "three numerical algorithms are proposed to solve the time - dependent elastodynamic equations in ela"}
{"subject": "math:arxiv_79005", "predicate": "proves", "object": "the generalized kohn theorem in arrays of parabolic quantum dots with coulomb interaction between th"}
{"subject": "math:arxiv_79011", "predicate": "proves", "object": "this paper is to study the conformal scalar curvature equation on complete noncompact riemannian man"}
{"subject": "math:arxiv_79020", "predicate": "proves", "object": "we consider the nonlinear stability of the kaluza - klein monopole viewed as the static solution of "}
{"subject": "math:arxiv_79041", "predicate": "proves", "object": "we present a continuum formulation for @xmath0-vacua in the massive schwinger model on the light - f"}
{"subject": "math:arxiv_79059", "predicate": "proves", "object": "we characterize the indecomposable transjective modules over an arbitrary cluster - tilted algebra t"}
{"subject": "math:arxiv_79060", "predicate": "proves", "object": "advantages of inhomogeneous cosmological models that are exact solutions of einstein s equations ove"}
{"subject": "math:arxiv_79078", "predicate": "proves", "object": "the problem of front propagation in a three - dimensional channel with spatially varying cross - sec"}
{"subject": "math:arxiv_79095", "predicate": "proves", "object": "the conventional spacetime formulation of general relativity may be recast as a dynamics of spatial "}
{"subject": "math:arxiv_79098", "predicate": "proves", "object": "we analyze an ac - driven dimer chain connected to a strongly biased electron source and drain . \n i"}
{"subject": "math:arxiv_79124", "predicate": "proves", "object": "quantum theory reflects within itself a separation of evidence from explanations . \n this separation"}
{"subject": "math:arxiv_79138", "predicate": "proves", "object": "the geometry of five - dimensional kerr black holes is discussed based on geodesics and weyl curvatu"}
{"subject": "math:arxiv_79145", "predicate": "proves", "object": "we study deformations of associative submanifolds @xmath0 of a @xmath1 manifold @xmath2 . \n we show "}
{"subject": "math:arxiv_79147", "predicate": "proves", "object": "inflation of cosmic gauge and global strings is investigated by numerically solving the combined ein"}
{"subject": "math:arxiv_79157", "predicate": "proves", "object": "we consider a single josephson junction in the presence of time varying gate charge , and examine th"}
{"subject": "math:arxiv_79186", "predicate": "proves", "object": "this article outlines sufficient conditions under which a network of identical nonlinear oscillators"}
{"subject": "math:arxiv_79188", "predicate": "proves", "object": "we numerically and theoretically study macroscopic properties of dense , sheared granular materials "}
{"subject": "math:arxiv_79189", "predicate": "proves", "object": "the mean field properties and equation of state for asymmetric nuclear matter are studied by using a"}
{"subject": "math:arxiv_79193", "predicate": "proves", "object": "we present a simple analytical formula for the thomson depth of the x - ray heated skin of accretion"}
{"subject": "math:arxiv_79206", "predicate": "proves", "object": "we study a charged compact object with anisotropic pressures in a core envelope setting . \n the equa"}
{"subject": "math:arxiv_79223", "predicate": "proves", "object": "we consider the effect of nonmagnetic and magnetic impurities on the superheating field @xmath0 in a"}
{"subject": "math:arxiv_79224", "predicate": "proves", "object": "we obtain traversable wormhole and time machine solutions of the field equations of an alternative o"}
{"subject": "math:arxiv_79253", "predicate": "proves", "object": "we describe the algebraic properties of pairwise comparisons matrices with coefficients in an arbitr"}
{"subject": "math:arxiv_79270", "predicate": "proves", "object": "in two - prover one - round interactive proof systems , no - signaling provers are those who are all"}
{"subject": "math:arxiv_79277", "predicate": "proves", "object": "the intimate geometry of space - time is expected to suffer stochastic fluctuations as a result of q"}
{"subject": "math:arxiv_79300", "predicate": "proves", "object": "sheaves and sheaf cohomology are powerful tools in computational topology , greatly generalizing per"}
{"subject": "math:arxiv_79304", "predicate": "proves", "object": "we answer the question posed by davis : `` when is the underlying space of an orbifold a topological"}
{"subject": "math:arxiv_79310", "predicate": "proves", "object": "with this paper we provide a mathematical review on the initial - value problem of the one - particl"}
{"subject": "math:arxiv_79337", "predicate": "proves", "object": "the jacobs - rebbi equation arises in many contexts where vortical motion in two - dimensional ideal"}
{"subject": "math:arxiv_79338", "predicate": "proves", "object": "we revisit the problem of the three - soliton collisions in the weakly perturbed sine - gordon equat"}
{"subject": "math:arxiv_79372", "predicate": "proves", "object": "in this paper we give a complete description of the set @xmath0 of discrete faithful representations"}
{"subject": "math:arxiv_79391", "predicate": "proves", "object": "a very general saddle point nuclear shape may be found as a solution of an integro - differential eq"}
{"subject": "math:arxiv_79395", "predicate": "proves", "object": "in this paper we solve numerically the two dimensional elliptic sine - gordon equation with appropri"}
{"subject": "math:arxiv_79419", "predicate": "proves", "object": "new necessary and sufficient conditions are given for the quantization of a class of periodic second"}
{"subject": "math:arxiv_79433", "predicate": "proves", "object": "the paper deals with controllability problem for a distributed system governed by the two - dimensio"}
{"subject": "math:arxiv_79448", "predicate": "proves", "object": "we investigate the transition radiation on a periodically deformed interface between two dielectric "}
{"subject": "math:arxiv_79464", "predicate": "proves", "object": "we investigate the topological change in a belavin - polyakov skyrmion under the action of a spin - "}
{"subject": "math:arxiv_79465", "predicate": "proves", "object": "in this paper , we give estimators of the frequency , amplitude and phase of a noisy sinusoidal sign"}
{"subject": "math:arxiv_79513", "predicate": "proves", "object": "we propose an ultradiscrete analogue of the vertex operator in the case of the ultradiscrete kp equa"}
{"subject": "math:arxiv_79524", "predicate": "proves", "object": "a two - state master equation based decision making model has been shown to generate phase transitio"}
{"subject": "math:arxiv_79533", "predicate": "proves", "object": "generalized reynolds ideals are ideals of the center of a symmetric algebra over a field of positive"}
{"subject": "math:arxiv_79535", "predicate": "proves", "object": "in this paper , the fractional order of rational bessel functions collocation method ( frbc ) to sol"}
{"subject": "math:arxiv_79537", "predicate": "proves", "object": "we study the accuracy of determining the phase space quasidistribution of a single quantized light m"}
{"subject": "math:arxiv_79544", "predicate": "proves", "object": "a general algebraic method of quantum corrections evaluation is presented . quantum corrections to a"}
{"subject": "math:arxiv_79564", "predicate": "proves", "object": "quantum graphity is an approach to quantum gravity based on a background independent formulation of "}
{"subject": "math:arxiv_79573", "predicate": "proves", "object": "in this paper we discuss the index problem for geometric differential operators ( spin  dirac operat"}
{"subject": "math:arxiv_79580", "predicate": "proves", "object": "the bethe  salpeter eigenvalue problem is a dense structured eigenvalue problem arising from discret"}
{"subject": "math:arxiv_79624", "predicate": "proves", "object": "a nonlinear equation describing curved stationary flames with arbitrary gas expansion @xmath0 , subj"}
{"subject": "math:arxiv_79635", "predicate": "proves", "object": "we present first results from a first - principles calculation of the qcd equation of state to @xmat"}
{"subject": "math:arxiv_79651", "predicate": "proves", "object": "a general procedure to find static and axially symmetric , interior solutions to the einstein equati"}
{"subject": "math:arxiv_79665", "predicate": "proves", "object": "using simple dimensional arguments for both spiral and elliptical galaxies , we present formulas to "}
{"subject": "math:arxiv_79671", "predicate": "proves", "object": "we investigate the bifurcation of a homogeneous stationary state of vlasov - newton equation in one "}
{"subject": "math:arxiv_79676", "predicate": "proves", "object": "in [ 8 , 9 ] m. g. corrales garcia , d. m. barquero , c. martin gonzalez , m. siles molina , j. f so"}
{"subject": "math:arxiv_79677", "predicate": "proves", "object": "we prove that each real semisimple lie algebra  @xmath0 has a @xmath1-form @xmath2 , such that every"}
{"subject": "math:arxiv_79701", "predicate": "proves", "object": "an effective white - noise langevin equation is derived that describes long - time phase dynamics of"}
{"subject": "math:arxiv_79706", "predicate": "proves", "object": "we construct a compact , contractible 4-manifold @xmath0 , an infinite - order self - diffeomorphism"}
{"subject": "math:arxiv_79709", "predicate": "proves", "object": "for the quantum walled brauer algebra , we construct its specht modules and ( for generic parameters"}
{"subject": "math:arxiv_79717", "predicate": "proves", "object": "the mathisson - papapetrou equations in schwarzschild s background both at the mathisson - pirani an"}
{"subject": "math:arxiv_79725", "predicate": "proves", "object": "we here provide a distribution - free approach to the random factor analysis model . \n we show that "}
{"subject": "math:arxiv_79736", "predicate": "proves", "object": "equations of motion for an electrically charged string with a current in an external electromagnetic"}
{"subject": "math:arxiv_79738", "predicate": "proves", "object": "a quantum master equation ( qme ) is derived for the many - body density matrix of an open current -"}
{"subject": "math:arxiv_79752", "predicate": "proves", "object": "applying a quasiclassical equation to carriers in graphene we found a way how to distinguish between"}
{"subject": "math:arxiv_79755", "predicate": "proves", "object": "vortices symmetric with respect to simultaneous parity and time reversing transformations are consid"}
{"subject": "math:arxiv_79756", "predicate": "proves", "object": "the main goal of electronic structure methods is to solve the schrdinger equation for the electrons "}
{"subject": "math:arxiv_79759", "predicate": "proves", "object": "we study the effects of noise on stationary pulse solutions ( bumps ) in spatially extended neural f"}
{"subject": "math:arxiv_79794", "predicate": "proves", "object": "we consider strong convergence of the finite differences approximation in space for stochastic react"}
{"subject": "math:arxiv_79796", "predicate": "proves", "object": "in the frame work of su(2 ) chiral sigma model , the nuclear matter properties at zero and finite te"}
{"subject": "math:arxiv_79800", "predicate": "proves", "object": "the properties of the bigeometric or proportional derivative are presented and discussed explicitly "}
{"subject": "math:arxiv_79823", "predicate": "proves", "object": "some new exact solutions of einstein s field equations have come forth within the scope of a spatial"}
{"subject": "math:arxiv_79827", "predicate": "proves", "object": "recent studies have raised doubts about the occurrence of @xmath0 modes in newtonian stars with a la"}
{"subject": "math:arxiv_79830", "predicate": "proves", "object": "using _ in - situ _ synchrotron tomography , we investigate the coarsening dynamics of barium borosi"}
{"subject": "math:arxiv_79832", "predicate": "proves", "object": "in this paper we analyze the rogue wave spectra of the kundu - eckhaus equation ( kee ) . \n we compa"}
{"subject": "math:arxiv_79843", "predicate": "proves", "object": "the integral representations of the @xmath0 spin 1/2 - spin 1/2 kac - moody blocks on the torus , ar"}
{"subject": "math:arxiv_79847", "predicate": "proves", "object": "a post - markovian master equation has been recently proposed as a tool to describe the evolution of"}
{"subject": "math:arxiv_79857", "predicate": "proves", "object": "we investigate the thermal relics as hot , warm and cold dark matter in @xmath0 gravity , where @xma"}
{"subject": "math:arxiv_79874", "predicate": "proves", "object": "a straight forward numerical technique , based on the gross - pitaevskii equation , is used to gener"}
{"subject": "math:arxiv_79886", "predicate": "proves", "object": "given a riemannian manifold @xmath0 and a geodesic @xmath1 , the perpendicular part of the derivativ"}
{"subject": "math:arxiv_79901", "predicate": "proves", "object": "we investigate dynamics in two - component bose - einstein condensates in the context of coupled gro"}
{"subject": "math:arxiv_79903", "predicate": "proves", "object": "a partially first - order form of the characteristic formulation is introduced to control the accura"}
{"subject": "math:arxiv_79911", "predicate": "proves", "object": "we prove generalized lower ricci bounds for euclidean and spherical cones over compact riemannian ma"}
{"subject": "math:arxiv_79926", "predicate": "proves", "object": "when a locally compact group acts on a @xmath0-correspondence , it also acts on the associated cuntz"}
{"subject": "math:arxiv_79936", "predicate": "proves", "object": "a remarkable property of nastic , shape changing plants is their complete fusion between actuators a"}
{"subject": "math:arxiv_79945", "predicate": "proves", "object": "the nonlinear frequency shift is derived in a transparent asymptotic form for intense langmuir waves"}
{"subject": "math:arxiv_79974", "predicate": "proves", "object": "the role of the potential energy landscape in determining the relaxation dynamics of model clusters "}
{"subject": "math:arxiv_79997", "predicate": "proves", "object": "we present a light formalism for proofs that encodes their inferential structure , along with a syst"}
{"subject": "math:arxiv_79998", "predicate": "proves", "object": "we construct an effective chiral lagrangian for hadrons implemented by the conformal invariance and "}
{"subject": "math:arxiv_79999", "predicate": "proves", "object": "this elementary introduction to string field theory highlights the features and the limitations of t"}
{"subject": "math:arxiv_80002", "predicate": "proves", "object": "we analytically study the scalar perturbation of non - asymptotically flat ( naf ) rotating linear d"}
{"subject": "math:arxiv_80009", "predicate": "proves", "object": "a new finite lattice calculation of the low lying bound state energies in the massive schwinger mode"}
{"subject": "math:arxiv_80010", "predicate": "proves", "object": "continuum states of the dirac equation are calculated numerically for the electrostatic field genera"}
{"subject": "math:arxiv_80026", "predicate": "proves", "object": "in this paper we construct a functor from the category of two - dimensional riemannian manifolds to "}
{"subject": "math:arxiv_80082", "predicate": "proves", "object": "bit commitment protocols whose security is based on the laws of quantum mechanics alone are generall"}
{"subject": "math:arxiv_80099", "predicate": "proves", "object": "we apply the keldysh formalism in order to derive a current formula easy to use for a system with ma"}
{"subject": "math:arxiv_80107", "predicate": "proves", "object": "boring is an operation which converts a knot or twocomponent link in a 3manifold into another knot o"}
{"subject": "math:arxiv_80128", "predicate": "proves", "object": "we study a one - dimensional stochastic differential equation driven by a stable lvy process of orde"}
{"subject": "math:arxiv_80144", "predicate": "proves", "object": "using a novel representation for the martin s real - part formula without the full scaling property "}
{"subject": "math:arxiv_80152", "predicate": "proves", "object": "this is a work in two parts in which we show how to solve a large class of lindblad master equations"}
{"subject": "math:arxiv_80153", "predicate": "proves", "object": "in this work we briefly review the kovtun - son - starinet ( kss ) computation of the ratio @xmath0 "}
{"subject": "math:arxiv_80158", "predicate": "proves", "object": "we study how the stability of the fractional quantum hall effect ( fqhe ) is influenced by the geome"}
{"subject": "math:arxiv_80160", "predicate": "proves", "object": "in this talk we show recent developments on few body systems involving mesons . \n we report on an ap"}
{"subject": "math:arxiv_80169", "predicate": "proves", "object": "the quasi - heisenberg picture of minisuperspace model is considered . \n the suggested scheme consis"}
{"subject": "math:arxiv_80175", "predicate": "proves", "object": "we use the dirac equation to study the mass spectrum of mesons with heavy - light quark combinations"}
{"subject": "math:arxiv_80179", "predicate": "proves", "object": "for five - dimensional braneworlds with an @xmath0 orbifold topology for the extra dimension @xmath1"}
{"subject": "math:arxiv_80180", "predicate": "proves", "object": "the famous conjecture of v.ya.ivrii ( 1978 ) says that _ in every billiard with infinitely - smooth "}
{"subject": "math:arxiv_80195", "predicate": "proves", "object": "for a hyperbolic knot in the @xmath0-sphere , at most finitely many dehn surgeries yield non - hyper"}
{"subject": "math:arxiv_80196", "predicate": "proves", "object": "we review the idea of @xmath0-stability for b - type d - branes on a  manifold . \n it is shown that "}
{"subject": "math:arxiv_80199", "predicate": "proves", "object": "the genus of the iso - density contours is a robust measure of the topology of large scale structure"}
{"subject": "math:arxiv_80210", "predicate": "proves", "object": "the risk - sensitive foraging theory formulated in terms of the ( daily ) energy budget rule has bee"}
{"subject": "math:arxiv_80238", "predicate": "proves", "object": "a general prescription for the construction of @xmath0 interaction potentials which preserve scatter"}
{"subject": "math:arxiv_80240", "predicate": "proves", "object": "abstract    we analyse the quantum geometry of 3-dimensional deformed special relativity ( dsr ) and"}
{"subject": "math:arxiv_80241", "predicate": "proves", "object": "the boltzmann equation for inelastic maxwell models is considered in order to investigate the dynami"}
{"subject": "math:arxiv_80247", "predicate": "proves", "object": "in this paper we consider the three dimensional exterior stokes problem and study the solvability of"}
{"subject": "math:arxiv_80257", "predicate": "proves", "object": "we consider two spherical , roughened crystals with approximately isotropic surface free energy whic"}
{"subject": "math:arxiv_80309", "predicate": "proves", "object": "quasi - local variables , i.e.  quantities whose values can be derived from physics accessible withi"}
{"subject": "math:arxiv_80310", "predicate": "proves", "object": "this paper describes a general algorithm for finding the commensurator of a non - arithmetic hyperbo"}
{"subject": "math:arxiv_80311", "predicate": "proves", "object": "in this article we prove the arnold - givental conjecture for a class of lagrangian submanifolds in "}
{"subject": "math:arxiv_80331", "predicate": "proves", "object": "mueller s dipole formulation of onium - onium scattering is used to study unitarity corrections to t"}
{"subject": "math:arxiv_80336", "predicate": "proves", "object": "in this paper , a linear univariate representation for the roots of a zero - dimensional polynomial "}
{"subject": "math:arxiv_80345", "predicate": "proves", "object": "we discuss some linear algebra related to the dirac matrix @xmath0 of a finite simple graph @xmath1 "}
{"subject": "math:arxiv_80346", "predicate": "proves", "object": "we prove a central limit theorem for random walks with finite variance on linear groups . \n ./style "}
{"subject": "math:arxiv_80353", "predicate": "proves", "object": "for a symmetric bridge coupled to infinite leads , in the presence of a dipole - coupled external ac"}
{"subject": "math:arxiv_80373", "predicate": "proves", "object": "brownian motion of free particles on curved surfaces is studied by means of the langevin equation wr"}
{"subject": "math:arxiv_80381", "predicate": "proves", "object": "we study suppression of the collapse and stabilization of matter - wave solitons by means of time - "}
{"subject": "math:arxiv_80387", "predicate": "proves", "object": "a green s function based solver for the modified bessel equation has been developed with the primary"}
{"subject": "math:arxiv_80417", "predicate": "proves", "object": "in this work , we employ the dark matter equations of state ( dmeoss ) obtained from the rotational "}
{"subject": "math:arxiv_80418", "predicate": "proves", "object": "implicit - explicit ( imex ) time stepping methods can efficiently solve differential equations with"}
{"subject": "math:arxiv_80448", "predicate": "proves", "object": "this paper develops a dissipativity theory for dynamical systems governed by linear it@xmath0 stocha"}
{"subject": "math:arxiv_80496", "predicate": "proves", "object": "in this paper we investigate the behavior of a family of steady state solutions of a nonlinear react"}
{"subject": "math:arxiv_80524", "predicate": "proves", "object": "we derive an algebraic framework which identifies the minimal information required to assess how wel"}
{"subject": "math:arxiv_80533", "predicate": "proves", "object": "we establish an upper bound @xmath0 on the complexity of manifolds obtained by @xmath1-surgeries on "}
{"subject": "math:arxiv_80551", "predicate": "proves", "object": "the motion of circular wp for one electron in central coulomb field with high @xmath0 is calculated "}
{"subject": "math:arxiv_80557", "predicate": "proves", "object": "the rayleigh equation @xmath0 with initial conditions @xmath1 , @xmath2 models the collapse of an em"}
{"subject": "math:arxiv_80568", "predicate": "proves", "object": "motivated by the geometrical interpretation of brans - dicke ( bd ) scalar field which may also act "}
{"subject": "math:arxiv_80569", "predicate": "proves", "object": "we argue for essential upgrading of the defining equations ( 9.5 ) and ( 9.6 ) in section 9.2 . `` t"}
{"subject": "math:arxiv_80570", "predicate": "proves", "object": "we construct an effective potential for the complex langevin equation on a lattice . \n we show that "}
{"subject": "math:arxiv_80588", "predicate": "proves", "object": "we present the applications of variational \n wavelet approach for computing multiresolution / multis"}
{"subject": "math:arxiv_80609", "predicate": "proves", "object": "we solve equations , describing in a simplified way the newtonian dynamics of a selfgravitating nonr"}
{"subject": "math:arxiv_80612", "predicate": "proves", "object": "motivated by the description of the graphene electronic structure in terms of the relativistic dirac"}
{"subject": "math:arxiv_80615", "predicate": "proves", "object": "in this paper a first order analytical system of difference equations is considered . for an asympto"}
{"subject": "math:arxiv_80616", "predicate": "proves", "object": "we introduce a new numerical algorithm for solving the stochastic neural field equation ( nfe ) with"}
{"subject": "math:arxiv_80628", "predicate": "proves", "object": "the angular power spectrum of the cosmic microwave background ( cmb ) contains information on virtua"}
{"subject": "math:arxiv_80631", "predicate": "proves", "object": "we review the current status of our microscopic calculations in asymmetric nuclear matter . \n update"}
{"subject": "math:arxiv_80634", "predicate": "proves", "object": "this thesis is a review of black hole evaporation with emphasis on recent results obtained for two d"}
{"subject": "math:arxiv_80657", "predicate": "proves", "object": "we discuss new results on the geometry of eigenfunctions in disordered systems . \n more precisely , "}
{"subject": "math:arxiv_80662", "predicate": "proves", "object": "we take arbitrary gravitational perturbations of a 5d spacetime and reduce it to the form an axially"}
{"subject": "math:arxiv_80680", "predicate": "proves", "object": "in this paper we give an upper bound for the number of srb measures of saddle type of local diffeomo"}
{"subject": "math:arxiv_80686", "predicate": "proves", "object": "fully numerical mesh solutions of 2d quantum equations of schrdinger and hartree - fock type allow u"}
{"subject": "math:arxiv_80689", "predicate": "proves", "object": "we describe a new 512-cpu beowulf cluster with teraflop performance dedicated to problems in computa"}
{"subject": "math:arxiv_80695", "predicate": "proves", "object": "recently , novakovi conjectured that non - split brauer - severi varieties do not admit full strong "}
{"subject": "math:arxiv_80701", "predicate": "proves", "object": "in this paper we study the linearized dynamics of spinor condensates using the spin - node formalism"}
{"subject": "math:arxiv_80707", "predicate": "proves", "object": "in @xcite the markov theorem without stabilization ( mtws ) established the existence of a calculus "}
{"subject": "math:arxiv_80710", "predicate": "proves", "object": "in this paper we give a combinatorial parametrization of leading terms of defining relations for lev"}
{"subject": "math:arxiv_80721", "predicate": "proves", "object": "a forefront area of research concerns the exploration of the properties of hadronic matter under ext"}
{"subject": "math:arxiv_80730", "predicate": "proves", "object": "the oblique geometry of pulsar wind termination shock ensures that the doppler beaming has a strong "}
{"subject": "math:arxiv_80731", "predicate": "proves", "object": "we give formulae for the chen \n ruan orbifold cohomology for the orbifolds given by a bianchi group "}
{"subject": "math:arxiv_80771", "predicate": "proves", "object": "the bbgky hierarchy of equations for a particle interacting with ideal gas is analyzed in terms of i"}
{"subject": "math:arxiv_80776", "predicate": "proves", "object": "a fundamental non - classical fourth - order partial differential equation to describe small amplitu"}
{"subject": "math:arxiv_80781", "predicate": "proves", "object": "using the @xmath0 functional equation and the hadamard product , an analytical expression for the su"}
{"subject": "math:arxiv_80782", "predicate": "proves", "object": "this article addresses regularity of optimal transport maps for cost@xmath0``squared distance '' on "}
{"subject": "math:arxiv_80788", "predicate": "proves", "object": "we present a self  consistent solution of the finite temperature gap  equation for @xmath0 theory be"}
{"subject": "math:arxiv_80793", "predicate": "proves", "object": "we establish general dimension formulae for the second page of the equivariant spectral sequence of "}
{"subject": "math:arxiv_80843", "predicate": "proves", "object": "in this paper we study the properties of the chaotic wave fields generated in the frame of the kundu"}
{"subject": "math:arxiv_80844", "predicate": "proves", "object": "we investigate the properties of hysteresis cycles produced by a one - dimensional , periodically fo"}
{"subject": "math:arxiv_80855", "predicate": "proves", "object": "with an analytical solutions of dglap evolution equations based on the laplace transform method , we"}
{"subject": "math:arxiv_80868", "predicate": "proves", "object": "we use numerical simulations to compute the equation of state of a suspension of spherical self - pr"}
{"subject": "math:arxiv_80873", "predicate": "proves", "object": "we study the minimization of convex , variational integrals of linear growth among all functions in "}
{"subject": "math:arxiv_80892", "predicate": "proves", "object": "we develop a statistical theory that describes quantum - mechanical scattering of a particle by a ca"}
{"subject": "math:arxiv_80901", "predicate": "proves", "object": "the elegant instanton calculus of lipatov and others used to find factorially - divergent behavior ("}
{"subject": "math:arxiv_80902", "predicate": "proves", "object": "we provide an axiomatic foundation for the representation of numraire - invariant preferences of eco"}
{"subject": "math:arxiv_80916", "predicate": "proves", "object": "this paper is devoted to the investigation of propagation of singularities in hyperbolic equations w"}
{"subject": "math:arxiv_80946", "predicate": "proves", "object": "a simple and transparent derivation of the formally exact probability distribution for classical non"}
{"subject": "math:arxiv_80947", "predicate": "proves", "object": "we model a compact relativistic body with anisotropic pressures in the presence of an electric field"}
{"subject": "math:arxiv_80948", "predicate": "proves", "object": "we review the construction of homological evolutionary vector fields on infinite jet spaces and part"}
{"subject": "math:arxiv_80958", "predicate": "proves", "object": "the shockley equation ( se ) , originally derived to describe a p \n n junction , was frequently used"}
{"subject": "math:arxiv_80962", "predicate": "proves", "object": "we present a procedure for finding the exact solution to the linear - response boltzmann equation fo"}
{"subject": "math:arxiv_80966", "predicate": "proves", "object": "we calculate the tunneling conductance spectra of a normal metal / insulator / triplet superconducto"}
{"subject": "math:arxiv_80973", "predicate": "proves", "object": "in this talk the results of the analytical and numerical analysis of the nonlinear balitsky - kovche"}
{"subject": "math:arxiv_80976", "predicate": "proves", "object": "in this article , we consider the so - called modified euler scheme for stochastic differential equa"}
{"subject": "math:arxiv_80980", "predicate": "proves", "object": "the effect of an ac modulation on a 2-level or 3-level system is studied theoretically . \n the absor"}
{"subject": "math:arxiv_81006", "predicate": "proves", "object": "an easy to implement and powerful method for the solution of 3d scattering problems that can be well"}
{"subject": "math:arxiv_81020", "predicate": "proves", "object": "a generalization of determinant formulas for the classical solutions of painlev xxxiv and painlev ii"}
{"subject": "math:arxiv_81026", "predicate": "proves", "object": "we consider some formulations of the entropy bounds at the semiclassical level . \n the entropy @xmat"}
{"subject": "math:arxiv_81064", "predicate": "proves", "object": "we obtain an explicit representation , as dunwoody manifolds , of all cyclic branched coverings of t"}
{"subject": "math:arxiv_81065", "predicate": "proves", "object": "the knowledge of the free energy landscape topology is the essential key to understand many biochemi"}
{"subject": "math:arxiv_81070", "predicate": "proves", "object": "a quantum markovian master equation is derived to describe the current noise in resonant tunnelling "}
{"subject": "math:arxiv_81071", "predicate": "proves", "object": "the quark mass dependence of the energy spectrum in the nambu \n goto string with point  like masses "}
{"subject": "math:arxiv_81087", "predicate": "proves", "object": "in this paper the hybrid - nlie approach of @xcite is extended to the ground state of a d - brane an"}
{"subject": "math:arxiv_81095", "predicate": "proves", "object": "motivated by recent evidence indicating that quantum einstein gravity ( qeg ) might be nonperturbati"}
{"subject": "math:arxiv_81133", "predicate": "proves", "object": "accurate low and high - lying bound states of tietz - hua oscillator potential are presented . \n the"}
{"subject": "math:arxiv_81155", "predicate": "proves", "object": "the time dependent equations of motion for the pair breaking effect were corroborated with a conditi"}
{"subject": "math:arxiv_81158", "predicate": "proves", "object": "according to the jarzynski theorem , equilibrium free energy differences can be calculated from the "}
{"subject": "math:arxiv_81160", "predicate": "proves", "object": "metastable dynamics of a hyperbolic variation of the allen  cahn equation with homogeneous neumann b"}
{"subject": "math:arxiv_81200", "predicate": "proves", "object": "the additivity principle ( ap ) , conjectured by bodineau and derrida [ phys . \n rev . lett . * 92 *"}
{"subject": "math:arxiv_81208", "predicate": "proves", "object": "the strange quark content of the nucleon @xmath0 is calculated in dynamical lattice qcd employing th"}
{"subject": "math:arxiv_81218", "predicate": "proves", "object": "the log - periodic equation for the entropy @xmath0 , based on the forgotten sharma - taneja entropy"}
{"subject": "math:arxiv_81239", "predicate": "proves", "object": "a numerical method to solve linear integro - differential equations is presented . \n this method has"}
{"subject": "math:arxiv_81247", "predicate": "proves", "object": "the existence of the limiting pair correlation for angles between reciprocal geodesics on the modula"}
{"subject": "math:arxiv_81256", "predicate": "proves", "object": "using grad s method , we calculate the entropy production and derive a formula for the second - orde"}
{"subject": "math:arxiv_81258", "predicate": "proves", "object": "i present a general classification of self - similar solutions to the equations of gravitational hyd"}
{"subject": "math:arxiv_81265", "predicate": "proves", "object": "an approximate method is proposed to solve position dependent mass schrdinger equation . \n the proce"}
{"subject": "math:arxiv_81269", "predicate": "proves", "object": "in the 1960s and 1970s a large part of the theory of dynamical systems concerned the case of uniform"}
{"subject": "math:arxiv_81276", "predicate": "proves", "object": "we generalise the grtner - ellis theorem of large deviations theory . \n our results allow us to deri"}
{"subject": "math:arxiv_81278", "predicate": "proves", "object": "we prove that the functional renormalization group flow equation admits a perturbative solution and "}
{"subject": "math:arxiv_81294", "predicate": "proves", "object": "this paper is devoted to the study of water waves under the influence of the gravity and the corioli"}
{"subject": "math:arxiv_81313", "predicate": "proves", "object": "two major results in the theory of @xmath0-adic mixed constructible sheaves are the purity theorem ("}
{"subject": "math:arxiv_81314", "predicate": "proves", "object": "numerous exact solutions to the nonlinear mean - field equations of motion are constructed for multi"}
{"subject": "math:arxiv_81316", "predicate": "proves", "object": "we prove that the sequence of eigencones ( i.e. , cones of nonnegative eigenvectors ) of positive po"}
{"subject": "math:arxiv_81322", "predicate": "proves", "object": "in this article , we prove the existence of arnold diffusion for an interesting specific system  dis"}
{"subject": "math:arxiv_81361", "predicate": "proves", "object": "we formulate an inseparability criterion based on the recently derived generalized schrdinger - robe"}
{"subject": "math:arxiv_81362", "predicate": "proves", "object": "uniqueness problems in the elliptic sector of constrained formulations of einstein equations have a "}
{"subject": "math:arxiv_81363", "predicate": "proves", "object": "in their seminal paper from 1983 , erds and szemerdi showed that any @xmath0 distinct integers induc"}
{"subject": "math:arxiv_81367", "predicate": "proves", "object": "the formation of singularities in the three - dimensional euler equation is investigated . \n this is"}
{"subject": "math:arxiv_81382", "predicate": "proves", "object": "starting from a high - level problem description in terms of partial differential equations using ab"}
{"subject": "math:arxiv_81388", "predicate": "proves", "object": "we introduce an associative algebra @xmath0 $ ] associated to a birack shadow and define enhancement"}
{"subject": "math:arxiv_81437", "predicate": "proves", "object": "we derive the wick theorem for the @xmath0-exponential distribution . \n we use the theorem to derive"}
{"subject": "math:arxiv_81453", "predicate": "proves", "object": "the exact non - markovian dynamics of a microcavity strongly coupled to a general reservoir at arbit"}
{"subject": "math:arxiv_81454", "predicate": "proves", "object": "the hard sphere repulsion among ions can be considered in the poisson - nernst - planck ( pnp ) equa"}
{"subject": "math:arxiv_81458", "predicate": "proves", "object": "we construct small covers and quasitoric manifolds over @xmath0-dimensional simple polytopes which a"}
{"subject": "math:arxiv_81472", "predicate": "proves", "object": "given a solution to a recursive distributional equation , a natural ( and non - trivial ) question i"}
{"subject": "math:arxiv_81474", "predicate": "proves", "object": "we extend the search for traveling - wave asymptotic solutions of the non - linear balitsky - kovche"}
{"subject": "math:arxiv_81494", "predicate": "proves", "object": "we prove a long - standing conjecture on random - cluster models , namely that the critical point fo"}
{"subject": "math:arxiv_81501", "predicate": "proves", "object": "extended gross - pitaevskii equations for the rotating @xmath0 condensate in a harmonic trap are sol"}
{"subject": "math:arxiv_81504", "predicate": "proves", "object": "a non - trivial spatial topology of the universe is a potentially observable attribute , which can b"}
{"subject": "math:arxiv_81505", "predicate": "proves", "object": "the objective of this paper is to study the thermodynamics and thermodynamic geometry of charged de "}
{"subject": "math:arxiv_81516", "predicate": "proves", "object": "let @xmath0 be a simple manifold , and @xmath1 be a component of @xmath2 of genus two . \n for a slop"}
{"subject": "math:arxiv_81530", "predicate": "proves", "object": "solar sub - surface fluid topology provides an indirect approach to examine the internal characteris"}
{"subject": "math:arxiv_81536", "predicate": "proves", "object": "we derive a trace formula that expresses the level density of chaotic many - body systems as a smoot"}
{"subject": "math:arxiv_81554", "predicate": "proves", "object": "we formulate a new hartree - fock - bogoliubov method applicable to weakly bound deformed nuclei usi"}
{"subject": "math:arxiv_81555", "predicate": "proves", "object": "a dynamical mechanism for symmetry breaking is investigated under the circumstances with the finite "}
{"subject": "math:arxiv_81573", "predicate": "proves", "object": "this article deals with the question of local connectivity of the julia set of polynomials and ratio"}
{"subject": "math:arxiv_81578", "predicate": "proves", "object": "in this article , we derive a semi - lagrangian scheme for the solution of the vlasov equation repre"}
{"subject": "math:arxiv_81585", "predicate": "proves", "object": "the objective of this note is to present the results from the two papers @xcite and @xcite . \n we st"}
{"subject": "math:arxiv_81587", "predicate": "proves", "object": "the projection of a compact oriented submanifold @xmath0 on a hyperplane @xmath1 can fail to bound a"}
{"subject": "math:arxiv_81602", "predicate": "proves", "object": "we have calculated the @xmath0-wave phase shifts and scattering length of @xmath1li . for this \n we "}
{"subject": "math:arxiv_81609", "predicate": "proves", "object": "one of the ways that analysis on fractals is more complicated than analysis on manifolds is that the"}
{"subject": "math:arxiv_81625", "predicate": "proves", "object": "the basic strategy underlying models of spontaneous wave function collapse ( collapse models ) is to"}
{"subject": "math:arxiv_81631", "predicate": "proves", "object": "we prove the determinant connectivity matrix formula . \n mathematically , the proof introduces novel"}
{"subject": "math:arxiv_81644", "predicate": "proves", "object": "algebraic statistics for binary random variables is concerned with highly structured algebraic varie"}
{"subject": "math:arxiv_81645", "predicate": "proves", "object": "i develop a theoretical framework for inferring nonequilibrium equations of motion from incomplete e"}
{"subject": "math:arxiv_81650", "predicate": "proves", "object": "we show that in the klein projective ball model of hyperbolic space , the hyperbolic voronoi diagram"}
{"subject": "math:arxiv_81658", "predicate": "proves", "object": "to investigate the influence of orientational degrees of freedom onto the dynamics of molecular syst"}
{"subject": "math:arxiv_81673", "predicate": "proves", "object": "in this paper we study simplicial complexes as higher dimensional graphs in order to produce algebra"}
{"subject": "math:arxiv_81675", "predicate": "proves", "object": "we formulate a general class of allocation problems called _ categorized domain allocation problems "}
{"subject": "math:arxiv_81684", "predicate": "proves", "object": "in this article we give a conceptual definition of manin products in any category endowed with two c"}
{"subject": "math:arxiv_81690", "predicate": "proves", "object": "ledrappier and young introduced a relation between entropy , lyapunov exponents and dimension for in"}
{"subject": "math:arxiv_81692", "predicate": "proves", "object": "the khinchin theorem provides the condition that a stationary process is ergodic , in terms of the b"}
{"subject": "math:arxiv_81700", "predicate": "proves", "object": "an outline is given how to formulate a relativistic unitarized constituent quark model of mesons in "}
{"subject": "math:arxiv_81724", "predicate": "proves", "object": "the present lecture notes address three columns on which the lagrangian perturbation approach to cos"}
{"subject": "math:arxiv_81725", "predicate": "proves", "object": "there are a number of tasks in quantum information science that exploit non - transitional adiabatic"}
{"subject": "math:arxiv_81741", "predicate": "proves", "object": "elastic and semileptonic transition form factors for the kaon and pion are calculated using the lead"}
{"subject": "math:arxiv_81756", "predicate": "proves", "object": "in this paper , new travelling wave solutions to the fornberg - whitham equation @xmath0 are investi"}
{"subject": "math:arxiv_81785", "predicate": "proves", "object": "we suggest a diagrammatic model of computation based on an axiom of distributivity . \n a diagram of "}
{"subject": "math:arxiv_81787", "predicate": "proves", "object": "we study oriented closed manifolds  @xmath0 possessing the following _ universal realisation of cycl"}
{"subject": "math:arxiv_81792", "predicate": "proves", "object": "a classical precursor to a full quantum dynamics for causal sets has been formulated in terms of a s"}
{"subject": "math:arxiv_81810", "predicate": "proves", "object": "a generalized parameterization @xmath0 for the dark energy equation of state ( eos ) is proposed and"}
{"subject": "math:arxiv_81822", "predicate": "proves", "object": "let @xmath0 and @xmath1 be convex sets in @xmath2 whose affine spans intersect at a single rational "}
{"subject": "math:arxiv_81824", "predicate": "proves", "object": "it is known that the formation of apparent horizons with non - spherical topology is possible in hig"}
{"subject": "math:arxiv_81834", "predicate": "proves", "object": "the davydov model of energy transfer in molecular chains is reconsidered assuming the distance depen"}
{"subject": "math:arxiv_81838", "predicate": "proves", "object": "we show how to use grbner bases for operads to prove various freeness theorems : freeness of certain"}
{"subject": "math:arxiv_81839", "predicate": "proves", "object": "second order newton equations of motion for a radiating particle are presented . \n it is argued that"}
{"subject": "math:arxiv_81843", "predicate": "proves", "object": "while free and weakly interacting nonrelativistic particles are described by a gross - pitaevskii eq"}
{"subject": "math:arxiv_81855", "predicate": "proves", "object": "these lectures discuss aspects of high energy evolution in qcd . \n this includes the derivation of t"}
{"subject": "math:arxiv_81862", "predicate": "proves", "object": "we study how the choice of packet scheduling algorithms influences end - to - end performance on lon"}
{"subject": "math:arxiv_81870", "predicate": "proves", "object": "the surface tension of interacting polymers in a good solvent is calculated theoretically and by com"}
{"subject": "math:arxiv_81875", "predicate": "proves", "object": "a geometric approach is used to study the abel first order differential equation of the first kind ."}
{"subject": "math:arxiv_81894", "predicate": "proves", "object": "in this work a new finite element based method of relaxed streamlined upwinding is proposed to solve"}
{"subject": "math:arxiv_81903", "predicate": "proves", "object": "recent investigations of the dyson  schwinger equations and monte  carlo lattice calculations result"}
{"subject": "math:arxiv_81904", "predicate": "proves", "object": "we provide a fully quantum description of a mechanical oscillator in the presence of thermal environ"}
{"subject": "math:arxiv_81915", "predicate": "proves", "object": "we perform a bayesian analysis of probability measures for compact star equations of state using new"}
{"subject": "math:arxiv_81920", "predicate": "proves", "object": "analytical and numerical solutions for the integral curves of the velocity field ( streamlines ) of "}
{"subject": "math:arxiv_81930", "predicate": "proves", "object": "we extract the @xmath0 dependence of the valence nonsinglet @xmath1 distribution function in the nuc"}
{"subject": "math:arxiv_81936", "predicate": "proves", "object": "background : : :    in the last few decades quantum phase transitions have been of great    interest"}
{"subject": "math:arxiv_81944", "predicate": "proves", "object": "we establish the equidistribution with respect to the bifurcation measure of post - critically finit"}
{"subject": "math:arxiv_81983", "predicate": "proves", "object": "in ref . \n @xcite , we presented an asymptotic formula for the fermion - induced effective energy in"}
{"subject": "math:arxiv_81991", "predicate": "proves", "object": "we propose a convex - concave programming approach for the labeled weighted graph matching problem ."}
{"subject": "math:arxiv_82022", "predicate": "proves", "object": "we consider a self - gravitating string generated by a global vortex solution in general relativity "}
{"subject": "math:arxiv_82039", "predicate": "proves", "object": "seymour s famous decomposition theorem for regular matroids states that any totally unimodular ( tu "}
{"subject": "math:arxiv_82070", "predicate": "proves", "object": "two - dimensional numerical simulations of an accretion flow in a close binary system are performed "}
{"subject": "math:arxiv_82096", "predicate": "proves", "object": "a langevin equation with multiplicative noise is an equation schematically of the form @xmath0 , whe"}
{"subject": "math:arxiv_82107", "predicate": "proves", "object": "this letter analyzes 3-dimensional simulations of kerr black hole magnetospheres that obey the gener"}
{"subject": "math:arxiv_82108", "predicate": "proves", "object": "consider the process of random transpositions on the complete graph @xmath0 . \n we use representatio"}
{"subject": "math:arxiv_82122", "predicate": "proves", "object": "we study the thermal evolution of a pulsar after a glitch in which the energy is released from a rel"}
{"subject": "math:arxiv_82124", "predicate": "proves", "object": "we describe the canonical correspondence between finite metric spaces and symmetric convex polytopes"}
{"subject": "math:arxiv_82136", "predicate": "proves", "object": "this is the second in a series of papers in which we investigate ideal triangulations of the interio"}
{"subject": "math:arxiv_82139", "predicate": "proves", "object": "the possibility of an @xmath0 bound state is investigated in the framework of pionless effective fie"}
{"subject": "math:arxiv_82158", "predicate": "proves", "object": "a gauss equation is proved for subspaces of alexandrov spaces of curvature bounded above by @xmath0 "}
{"subject": "math:arxiv_82163", "predicate": "proves", "object": "the standard cosmological model does not determine the spatial topology of the universe . \n this art"}
{"subject": "math:arxiv_82172", "predicate": "proves", "object": "we find explicit bases for naturally defined lattices over a ring of algebraic integers in the @xmat"}
{"subject": "math:arxiv_82174", "predicate": "proves", "object": "in this survey paper we present the @xmath0moves between braids and how they can adapt and serve for"}
{"subject": "math:arxiv_82189", "predicate": "proves", "object": "we study the solutions of a generalized allen  cahn equation deduced from a landau energy functional"}
{"subject": "math:arxiv_82195", "predicate": "proves", "object": "we use the methods of @xcite to give a classification of @xmath0dimensional minimal algebras , gener"}
{"subject": "math:arxiv_82218", "predicate": "proves", "object": "the paper contains mathematical justification of basic facts concerning the brownian motor theory . "}
{"subject": "math:arxiv_82222", "predicate": "proves", "object": "we propose an explicit - implicit scheme for numerically solving special relativistic radiation hydr"}
{"subject": "math:arxiv_82238", "predicate": "proves", "object": "constructing an efficient parameterization of a large , noisy data set of points lying close to a sm"}
{"subject": "math:arxiv_82249", "predicate": "proves", "object": "the melan beam equation modeling suspension bridges is considered . \n a slightly modified equation i"}
{"subject": "math:arxiv_82255", "predicate": "proves", "object": "we give a new and self - contained proof of the existence and unicity of the flow for an arbitrary ("}
{"subject": "math:arxiv_82282", "predicate": "proves", "object": "using techniques of integrable systems , we study a weierstra representation formula for timelike su"}
{"subject": "math:arxiv_82286", "predicate": "proves", "object": "a real algebraic variety is maximal ( with respect to the smith - thom inequality ) if the sum of th"}
{"subject": "math:arxiv_82316", "predicate": "proves", "object": "we prove functional central and non - central limit theorems for generalized variations of the aniso"}
{"subject": "math:arxiv_82321", "predicate": "proves", "object": "mixings of 4-quark components in the non - singlet scalar mesons are studied in the qcd sum rules . "}
{"subject": "math:arxiv_82351", "predicate": "proves", "object": "the representation theory of the drinfeld doubles of dihedral groups is used to solve the yang - bax"}
{"subject": "math:arxiv_82375", "predicate": "proves", "object": "using recent work on high dimensional lutz twists and families of weinstein structures we show that "}
{"subject": "math:arxiv_82397", "predicate": "proves", "object": "models are presented for the polytropic equation of state of self - gravitating , quiescent interste"}
{"subject": "math:arxiv_82401", "predicate": "proves", "object": "the conjecture of a hidden @xmath0 symmetry of m - theory is supported by the close connection betwe"}
{"subject": "math:arxiv_82425", "predicate": "proves", "object": "within the framework of the coplanar binary geometry where it is justified to use plane wave solutio"}
{"subject": "math:arxiv_82437", "predicate": "proves", "object": "we consider positive radial solutions to the fast diffusion equation @xmath0 on the hyperbolic space"}
{"subject": "math:arxiv_82451", "predicate": "proves", "object": "the vacuum amplitude of the closed membrane theory is investigated using the fact that any three - d"}
{"subject": "math:arxiv_82454", "predicate": "proves", "object": "we derive the modified dirac equation for an electron undergos an influence of the standard model in"}
{"subject": "math:arxiv_82462", "predicate": "proves", "object": "in the magnetically torqued disk ( mtd ) model for hot star disks , as proposed and formulated by @x"}
{"subject": "math:arxiv_82466", "predicate": "proves", "object": "the information geometry of the 2-manifold of gamma probability density functions provides a framewo"}
{"subject": "math:arxiv_82467", "predicate": "proves", "object": "in an effort to model the observed energy spectrum of cygnus x-1 as well as its hard x - ray lag by "}
{"subject": "math:arxiv_82469", "predicate": "proves", "object": "we consider the fundamental solution to the wave equation on a manifold with corners of arbitrary co"}
{"subject": "math:arxiv_82503", "predicate": "proves", "object": "exotic nuclear structures such as bubbles and tori are analyzed through semiclassical extended thoma"}
{"subject": "math:arxiv_82506", "predicate": "proves", "object": "it can be conjectured that the colored jones function of a knot can be computed in terms of counting"}
{"subject": "math:arxiv_82507", "predicate": "proves", "object": "the model of scientific paradigms spreading throughout the community of agents with memory is analyz"}
{"subject": "math:arxiv_82526", "predicate": "proves", "object": "we investigate wavepacket solutions for time - dependent schdinger equation in the presence of an ex"}
{"subject": "math:arxiv_82537", "predicate": "proves", "object": "we demonstrate and explicate bayesian methods for fitting the parameters that encode the impact of s"}
{"subject": "math:arxiv_82552", "predicate": "proves", "object": "the local limit theorem describes the behavior of the convolution powers of a probability distributi"}
{"subject": "math:arxiv_82565", "predicate": "proves", "object": "in addition to the standard solutions of the quantum field equations having the two forms @xmath0 , "}
{"subject": "math:arxiv_82567", "predicate": "proves", "object": "in the family of unit balls with constant volume we look at the ones whose algebraic representation "}
{"subject": "math:arxiv_82570", "predicate": "proves", "object": "we revisit the topic of the existence and azimuthal modulational stability of solitary vortices ( al"}
{"subject": "math:arxiv_82576", "predicate": "proves", "object": "in complex clinical trials , multiple research objectives are often grouped into sets of objectives "}
{"subject": "math:arxiv_82578", "predicate": "proves", "object": "based on a boltzmann - like traffic equation for aggressive drivers we construct in this paper a sec"}
{"subject": "math:arxiv_82605", "predicate": "proves", "object": "for a fissured medium with uncertainty in the knowledge of fractures geometry , a conservative tange"}
{"subject": "math:arxiv_82630", "predicate": "proves", "object": "the linear dynamics of alfvn modes in tokamaks is investigated here by means of the global gyrokinet"}
{"subject": "math:arxiv_82640", "predicate": "proves", "object": "we study inflation with multiple vector fields . in the presence of non - trivial couplings between "}
{"subject": "math:arxiv_82646", "predicate": "proves", "object": "the kadomtsev - petviashvili ( kp ) equation describes weakly dispersive and small amplitude waves p"}
{"subject": "math:arxiv_82649", "predicate": "proves", "object": "a new approach to study the nonlinear phase of gravitational clustering in an expanding universe is "}
{"subject": "math:arxiv_82656", "predicate": "proves", "object": "the classical fluctuation - dissipation theorem predicts the average response of a dynamical system "}
{"subject": "math:arxiv_82681", "predicate": "proves", "object": "in this paper , we show how continuous - variable dense coding can be implemented using entangled li"}
{"subject": "math:arxiv_82712", "predicate": "proves", "object": "we consider periodic second - order equations having an ordered pair of lower and upper solutions an"}
{"subject": "math:arxiv_82722", "predicate": "proves", "object": "using a generalization of the madelung transformation , we derive the hydrodynamic representation of"}
{"subject": "math:arxiv_82731", "predicate": "proves", "object": "we have investigated the role of the equation of state in resistive relativistic magnetohydrodynamic"}
{"subject": "math:arxiv_82735", "predicate": "proves", "object": "we derive the effective hamiltonian for a quantum system constrained to a submanifold ( the constrai"}
{"subject": "math:arxiv_82741", "predicate": "proves", "object": "in this seminar report , we present in detail the proof of a recent result due to j. brit and t. vid"}
{"subject": "math:arxiv_82750", "predicate": "proves", "object": "the turbulent dynamo effect , which describes the generation of magnetic fields in astrophysical obj"}
{"subject": "math:arxiv_82752", "predicate": "proves", "object": "in this paper we give a clifford bundle motivated approach to the wave equation of a free spin @xmat"}
{"subject": "math:arxiv_82762", "predicate": "proves", "object": "bayesian estimation strategies represent the most fundamental formulation of the state estimation pr"}
{"subject": "math:arxiv_82770", "predicate": "proves", "object": "lagrange spectra have been defined for closed submanifolds of the moduli space of translation surfac"}
{"subject": "math:arxiv_82787", "predicate": "proves", "object": "we specialize a recently - proposed determinant formula @xcite for the overlap of the zero - momentu"}
{"subject": "math:arxiv_82794", "predicate": "proves", "object": "we introduce unusual electromagnetic disturbances resembling rings , loops , links , globules , line"}
{"subject": "math:arxiv_82797", "predicate": "proves", "object": "we present a formulation of the decoherent ( or consistent ) histories quantum theory of closed syst"}
{"subject": "math:arxiv_82807", "predicate": "proves", "object": "we give a simple , closed - form formula , what we call the deflation identity , for converting any "}
{"subject": "math:arxiv_82837", "predicate": "proves", "object": "we present the yield and spectra of stable secondary particles ( @xmath0 , @xmath1 , @xmath2 , @xmat"}
{"subject": "math:arxiv_82844", "predicate": "proves", "object": "this paper studies the moment boundedness of solutions of linear stochastic delay differential equat"}
{"subject": "math:arxiv_82865", "predicate": "proves", "object": "we derive the tap equations for the fermionic ising spin glass . \n it is found that , just as in the"}
{"subject": "math:arxiv_82869", "predicate": "proves", "object": "the problem considered in the paper is exponential stability of linear equations and global attracti"}
{"subject": "math:arxiv_82877", "predicate": "proves", "object": "the aim of the paper is to study an optimal control problem on infinite horizon for an infinite dime"}
{"subject": "math:arxiv_82881", "predicate": "proves", "object": "we investigate the dynamics of the josephson vortex lattice in layered high - t@xmath0 superconducto"}
{"subject": "math:arxiv_82882", "predicate": "proves", "object": "the well - known `` displace , cut and reflect '' method used to generate disks from given solutions"}
{"subject": "math:arxiv_82904", "predicate": "proves", "object": "we give an exact formula for the bellman function of the weak type of martingale transform . \n we al"}
{"subject": "math:arxiv_82978", "predicate": "proves", "object": "the determination of solutions of many inverse problems usually requires a set of measurements which"}
{"subject": "math:arxiv_82990", "predicate": "proves", "object": "we demonstrate that stabilization of solitons of the multidimensional schrdinger equation with a cub"}
{"subject": "math:arxiv_82996", "predicate": "proves", "object": "the remodeling conjecture proposed by bouchard - klemm - mario - pasquetti @xcite relates all genus "}
{"subject": "math:arxiv_83002", "predicate": "proves", "object": "we study the bouchaud - mzard model on a regular random network . by assuming adiabaticity and indep"}
{"subject": "math:arxiv_83013", "predicate": "proves", "object": "we show that the subgroup of the knot concordance group generated by links of isolated complex singu"}
{"subject": "math:arxiv_83028", "predicate": "proves", "object": "* abstract : * in this paper we study the relationship between the einstein field equations for the "}
{"subject": "math:arxiv_83030", "predicate": "proves", "object": "a set of exact closed - form bloch - state solutions to the stationary gross - pitaevskii equation a"}
{"subject": "math:arxiv_83036", "predicate": "proves", "object": "the structure of the cauchy horizon singularity of a black hole formed in a generic collapse is stud"}
{"subject": "math:arxiv_83041", "predicate": "proves", "object": "following feynman s successful treatment of the polaron problem we apply the same variational princi"}
{"subject": "math:arxiv_83066", "predicate": "proves", "object": "we investigate two - component ultracold fermionic atoms with repulsive interactions trapped in an o"}
{"subject": "math:arxiv_83068", "predicate": "proves", "object": "in this paper we establish a connection between ribbon graphs and brauer graphs . as a result , we s"}
{"subject": "math:arxiv_83074", "predicate": "proves", "object": "arrays of qubits encoded in the ground state manifold of neutral atoms trapped in optical ( or magne"}
{"subject": "math:arxiv_83086", "predicate": "proves", "object": "a boundary value problem for a fractional power of the second - order elliptic operator is considere"}
{"subject": "math:arxiv_83087", "predicate": "proves", "object": "it is usually considered that the so(10 ) model with one * 10 * and one * 126 * higgs scalars can no"}
{"subject": "math:arxiv_83090", "predicate": "proves", "object": "we present algebraic multilevel iteration ( amli ) methods for isogeometric discretization of scalar"}
{"subject": "math:arxiv_83091", "predicate": "proves", "object": "in the mean - field approximation , the number density @xmath0 for the ground state of a bose - eins"}
{"subject": "math:arxiv_83095", "predicate": "proves", "object": "in this paper , we consider periodic soft inclusions @xmath0 with periodicity @xmath1 , where the so"}
{"subject": "math:arxiv_83103", "predicate": "proves", "object": "most two - dimensional massless field theories carry representations of the virasoro algebra as cons"}
{"subject": "math:arxiv_83107", "predicate": "proves", "object": "we confirm the aj conjecture @xcite that relates the @xmath0-polynomial and the colored jones polyno"}
{"subject": "math:arxiv_83118", "predicate": "proves", "object": "we prove that the twisted reidemeister torsion of a 3-manifold corresponding to a fibered class is m"}
{"subject": "math:arxiv_83152", "predicate": "proves", "object": "effects of time - dependent applied fields on quantum coupled double - well ( dw ) systems with raza"}
{"subject": "math:arxiv_83163", "predicate": "proves", "object": "we present superfluid density calculations for the unconventional superconductor pucoga@xmath0 by so"}
{"subject": "math:arxiv_83166", "predicate": "proves", "object": "the versatility of renewal theory is owed to its abstract formulation . \n renewals can be interprete"}
{"subject": "math:arxiv_83193", "predicate": "proves", "object": "the asymptotic lattices and their transformations are studied within the line geometry approach . \n "}
{"subject": "math:arxiv_83198", "predicate": "proves", "object": "this paper addresses the properties of continuous interior penalty ( cip ) finite element solutions "}
{"subject": "math:arxiv_83223", "predicate": "proves", "object": "this is an introductory survey , from a geometric perspective , on the singular value decomposition "}
{"subject": "math:arxiv_83242", "predicate": "proves", "object": "this lecture consists of three parts . in part \n i , an overview is given on the so - called matrix "}
{"subject": "math:arxiv_83254", "predicate": "proves", "object": "a continuum model for the dynamics of a single step with the strongly anisotropic line energy is for"}
{"subject": "math:arxiv_83269", "predicate": "proves", "object": "a robust multilevel preconditioner based on the hybridizable discontinuous galerkin method for the h"}
{"subject": "math:arxiv_83298", "predicate": "proves", "object": "we conjecture that brown dwarfs are substellar objects because they have been ejected from small new"}
{"subject": "math:arxiv_83317", "predicate": "proves", "object": "we present a rigorous result on ultra - slow diffusion by solving a fokker - planck equation , which"}
{"subject": "math:arxiv_83335", "predicate": "proves", "object": "recent approaches for quantum gravity are conjectured to give predictions for a minimum measurable l"}
{"subject": "math:arxiv_83353", "predicate": "proves", "object": "the formulation of noncommutative quantum mechanics as a quantum system represented in the space of "}
{"subject": "math:arxiv_83354", "predicate": "proves", "object": "this work addresses and solves the problem of generically tracking black hole event horizons in comp"}
{"subject": "math:arxiv_83406", "predicate": "proves", "object": "we discuss the intriguing possibility that dark energy may change its equation of state in situation"}
{"subject": "math:arxiv_83408", "predicate": "proves", "object": "from the viewpoint of mutation , we will give a brief survey of tilting theory and cluster - tilting"}
{"subject": "math:arxiv_83419", "predicate": "proves", "object": "we examine the ability to test the black hole no - hair theorem at the @xmath0 level in this decade "}
{"subject": "math:arxiv_83425", "predicate": "proves", "object": "we apply the algebraic - geometric techniques developed for the study of mappings which have the sin"}
{"subject": "math:arxiv_83434", "predicate": "proves", "object": "we study the dynamics of inertial particles in two dimensional incompressible flows . \n the maxey - "}
{"subject": "math:arxiv_83436", "predicate": "proves", "object": "in this work we consider deformations of leibniz algebras over a field of characteristic zero . \n th"}
{"subject": "math:arxiv_83442", "predicate": "proves", "object": "we study a boundary layer problem for the navier - stokes - alpha model obtaining a generalization o"}
{"subject": "math:arxiv_83450", "predicate": "proves", "object": "in this paper , we introduce a particularly nice family of @xmath0 spaces , which we call hyperbolic"}
{"subject": "math:arxiv_83475", "predicate": "proves", "object": "in this paper the generalization of the poisson distribution is derived for the case when each conse"}
{"subject": "math:arxiv_83485", "predicate": "proves", "object": "let @xmath0 be an @xmath1-dimensional differentiable manifold with a nontrivial circle action @xmath"}
{"subject": "math:arxiv_83525", "predicate": "proves", "object": "we present a proposal to include lorentz - violating effects in gravitational field by means of the "}
{"subject": "math:arxiv_83531", "predicate": "proves", "object": "we give a proof that entanglement purification , even with noisy apparatus , is sufficient to disent"}
{"subject": "math:arxiv_83542", "predicate": "proves", "object": "mean field master equations for the so - called norm game are proposed . \n the strategies are : to o"}
{"subject": "math:arxiv_83559", "predicate": "proves", "object": "we study the changes in the dynamical behaviour of axisymmetric spherical mean - field dynamo models"}
{"subject": "math:arxiv_83572", "predicate": "proves", "object": "in this paper , we study the key properties of multi - antenna two - tier networks under different s"}
{"subject": "math:arxiv_83595", "predicate": "proves", "object": "the nuclear reaction network is usually studied via precise calculation of differential equation set"}
{"subject": "math:arxiv_83605", "predicate": "proves", "object": "in the sine - gordon equation solitons and antisolitons in the absence of perturbations do not annih"}
{"subject": "math:arxiv_83610", "predicate": "proves", "object": "we describe a high - performance implementation of the lattice - boltzmann method ( lbm ) for sparse"}
{"subject": "math:arxiv_83617", "predicate": "proves", "object": "we review our recent work on the synchronization of a network of delay - coupled maps , focusing on "}
{"subject": "math:arxiv_83632", "predicate": "proves", "object": "a new approach , which is based on the new canonical equations of hamilton found by us recently , is"}
{"subject": "math:arxiv_83633", "predicate": "proves", "object": "numerical solutions for the integral curves of the velocity field ( streamlines ) , the density cont"}
{"subject": "math:arxiv_83648", "predicate": "proves", "object": "we use microscopic linear response theory to derive a set of equations that provide a complete descr"}
{"subject": "math:arxiv_83654", "predicate": "proves", "object": "the objective of this paper is to prove the convergence of a linear implicit multi - step numerical "}
{"subject": "math:arxiv_83656", "predicate": "proves", "object": "this work is an analytical calculation of the path probability for random dynamics of mechanical sys"}
{"subject": "math:arxiv_83660", "predicate": "proves", "object": "this is an expository introduction to tropical algebraic geometry based on my lectures at the worksh"}
{"subject": "math:arxiv_83697", "predicate": "proves", "object": "these notes , based on lectures given at the summer school on asymptotic analysis in general relativ"}
{"subject": "math:arxiv_83703", "predicate": "proves", "object": "the complexity of a csma algorithm has been translated to the norm properties of a dependencies matr"}
{"subject": "math:arxiv_83705", "predicate": "proves", "object": "we have studied the collective plasma excitations of a two - dimensional electron gas with an _ arbi"}
{"subject": "math:arxiv_83706", "predicate": "proves", "object": "traffic on a circular road is described by dynamic programming equations associated to optimal contr"}
{"subject": "math:arxiv_83725", "predicate": "proves", "object": "we quantify the effects of the voids known to exist in the universe upon the reconstruction of the d"}
{"subject": "math:arxiv_83727", "predicate": "proves", "object": "it is conjectured that every fullerene graph is hamiltonian . \n jendrol and owens proved [ j. math ."}
{"subject": "math:arxiv_83732", "predicate": "proves", "object": "studies of cooperation have traditionally focused on discrete games such as the well - known prisone"}
{"subject": "math:arxiv_83741", "predicate": "proves", "object": "for a specific choice of the diffusion , the parabolic - elliptic patlak - keller - segel system wit"}
{"subject": "math:arxiv_83746", "predicate": "proves", "object": "the schwarz map of the hypergeometric differential equation is studied since the beginning of the la"}
{"subject": "math:arxiv_83757", "predicate": "proves", "object": "the faddeev equations are solved in momentum space for the trinucleon bound state with the new tucso"}
{"subject": "math:arxiv_83777", "predicate": "proves", "object": "in this paper we give a construction of algebraic ( artin ) stacks @xmath0 endowed with a modular ma"}
{"subject": "math:arxiv_83788", "predicate": "proves", "object": "we present new and accurate measurements of the cosmic distance - redshift relation , spanning @xmat"}
{"subject": "math:arxiv_83791", "predicate": "proves", "object": "we revisit a theorem of grosshans and show that it holds over arbitrary commutative base ring @xmath"}
{"subject": "math:arxiv_83792", "predicate": "proves", "object": "we classify parallelizable noncommutative manifold structures on finite sets of small size in the ge"}
{"subject": "math:arxiv_83798", "predicate": "proves", "object": "we prove the filling area conjecture in the hyperelliptic case . in particular \n , we establish the "}
{"subject": "math:arxiv_83846", "predicate": "proves", "object": "we show that the @xmath0-character variety of the @xmath1 pretzel knot consists of two ( respectivel"}
{"subject": "math:arxiv_83850", "predicate": "proves", "object": "a new dynamical symmetry limit of the two - fluid interacting vector boson model ( ivbm ) , defined "}
{"subject": "math:arxiv_83877", "predicate": "proves", "object": "the conditions under which quantum - classical liouville dynamics may be reduced to a master equatio"}
{"subject": "math:arxiv_83879", "predicate": "proves", "object": "let @xmath0 be a smooth algebraic curve . \n suppose that there exists a triple covering @xmath1 wher"}
{"subject": "math:arxiv_83887", "predicate": "proves", "object": "we give two applications of the @xmath0-engel relation , classically studied in finite and lie group"}
{"subject": "math:arxiv_83889", "predicate": "proves", "object": "anisotropic mesh adaptation has been successfully applied to the numerical solution of partial diffe"}
{"subject": "math:arxiv_83890", "predicate": "proves", "object": "several approaches to the dynamics of loop quantum gravity involve discretizing the equations of mot"}
{"subject": "math:arxiv_83894", "predicate": "proves", "object": "using the steepest descent method for oscillatory riemann - hilbert problems introduced by deift and"}
{"subject": "math:arxiv_83897", "predicate": "proves", "object": "we use analytic soliton solutions of a two - component bose gas in the ring geometry to analyze the "}
{"subject": "math:arxiv_83899", "predicate": "proves", "object": "in this paper we present the first analytic model for vorton formation . \n we start by deriving the "}
{"subject": "math:arxiv_83914", "predicate": "proves", "object": "the inference of an underlying network topology from local observations of a complex system composed"}
{"subject": "math:arxiv_83923", "predicate": "proves", "object": "obtaining cross sections for nuclear reactions at intermediate energies based on the glauber formula"}
{"subject": "math:arxiv_83933", "predicate": "proves", "object": "let @xmath0 be an oriented compact @xmath1-manifold and let @xmath2 be a ( loose ) triangulation of "}
{"subject": "math:arxiv_83950", "predicate": "proves", "object": "sarahis a mathematica package for studying supersymmetric models . \n it calculates for a given model"}
{"subject": "math:arxiv_83954", "predicate": "proves", "object": "_ we obtain regularity conditions of a new type of problems of the calculus of variations with secon"}
{"subject": "math:arxiv_83959", "predicate": "proves", "object": "a fractional time derivative is introduced into burger s equation to model losses of nonlinear waves"}
{"subject": "math:arxiv_83967", "predicate": "proves", "object": "we present a new proof of the bi - lipschitz model theorem , which occupies the main part of the end"}
{"subject": "math:arxiv_83976", "predicate": "proves", "object": "the mass of 1/4-bps dyonic configurations in @xmath0 @xmath1 supersymmetric yang - mills theories is"}
{"subject": "math:arxiv_83982", "predicate": "proves", "object": "anderson and canary have shown that if the algebraic limit of a sequence of discrete , faithful repr"}
{"subject": "math:arxiv_83988", "predicate": "proves", "object": "we present a characterization , in terms of projective biduality , for the hypersurfaces appearing i"}
{"subject": "math:arxiv_84003", "predicate": "proves", "object": "we introduce a new technique for finding lower bounds on the heegaard genus of a @xmath0-manifold ob"}
{"subject": "math:arxiv_84017", "predicate": "proves", "object": "the mean velocity equation for fluctuating flow derived in an earlier paper of the author has been a"}
{"subject": "math:arxiv_84019", "predicate": "proves", "object": "this paper mathematically studies membranes and filaments adhering to periodic patterned substrates "}
{"subject": "math:arxiv_84024", "predicate": "proves", "object": "a correct general formula for the spin current through an interacting quantum dot coupled to ferroma"}
{"subject": "math:arxiv_84025", "predicate": "proves", "object": "in this paper , we study the concept of free pre - lie algebra generated by a ( non - empty ) set . "}
{"subject": "math:arxiv_84027", "predicate": "proves", "object": "we present an all order proof of cancellation of infrared ( ir ) divergences in light front quantum "}
{"subject": "math:arxiv_84037", "predicate": "proves", "object": "since the seminal work @xcite the iteration stable ( stit ) tessellations have attracted considerabl"}
{"subject": "math:arxiv_84040", "predicate": "proves", "object": "for each pair @xmath0 of integers satisfying @xmath1 , @xmath2 , and @xmath3 , with four exceptions "}
{"subject": "math:arxiv_84041", "predicate": "proves", "object": "thermal properties of few - fermion ( @xmath0 ) systems are investigated . \n the dependence of the h"}
{"subject": "math:arxiv_84063", "predicate": "proves", "object": "due to quantum gravity fluctuations at the planck scale , the space - time manifold is no longer con"}
{"subject": "math:arxiv_84066", "predicate": "proves", "object": "we present a general setting in which the formula describing the linear response of the physical mea"}
{"subject": "math:arxiv_84074", "predicate": "proves", "object": "the relaxation kinetics of cavity polaritons by scattering with thermal acoustic phonons is studied "}
{"subject": "math:arxiv_84085", "predicate": "proves", "object": "the formation of a naked singularity in @xmath0 global monopole spacetime is considered in view of q"}
{"subject": "math:arxiv_84096", "predicate": "proves", "object": "polarization observations of the radio emission from psr b2016 + 28 at 1404 mhz reveal properties th"}
{"subject": "math:arxiv_84101", "predicate": "proves", "object": "we study nonequilibrium steady states of the one - dimensional discrete nonlinear schrdinger equatio"}
{"subject": "math:arxiv_84108", "predicate": "proves", "object": "the equations for four - wave - mixing in a photonic crystal waveguide are derived accurately . the "}
{"subject": "math:arxiv_84125", "predicate": "proves", "object": "the full quantum - statistical theory of the vertical - cavity surface - emitting laser ( vcsel ) in"}
{"subject": "math:arxiv_84129", "predicate": "proves", "object": "we study the maurer - cartan equation of the pre - lie algebra of graphs controling the deformation "}
{"subject": "math:arxiv_84143", "predicate": "proves", "object": "we suggest that `` free evolution '' integration schemes for the einstein equations ( that do not en"}
{"subject": "math:arxiv_84146", "predicate": "proves", "object": "we present a new direct simulation monte - carlo method for solving the relativistic boltzmann equat"}
{"subject": "math:arxiv_84150", "predicate": "proves", "object": "we show that a point particle moving in space - time on entwined - pair paths generates schrdinger s"}
{"subject": "math:arxiv_84158", "predicate": "proves", "object": "we study a langevin equation for a particle moving in a periodic potential in the presence of viscos"}
{"subject": "math:arxiv_84169", "predicate": "proves", "object": "we prove a duality theorem the computation of certain bellman functions is usually based on . as a b"}
{"subject": "math:arxiv_84171", "predicate": "proves", "object": "we derive a time - convolutionless master equation for the spin - boson model in the weak coupling l"}
{"subject": "math:arxiv_84178", "predicate": "proves", "object": "we study defect modes of a bose - einstein condensate in an optical lattice with a localized defect "}
{"subject": "math:arxiv_84200", "predicate": "proves", "object": "we re - examine the well - known wong formula for heavy - ion fusion cross sections . \n although thi"}
{"subject": "math:arxiv_84229", "predicate": "proves", "object": "we present a new class of interacting markov chain monte carlo algorithms for solving numerically di"}
{"subject": "math:arxiv_84232", "predicate": "proves", "object": "in this work , we have used the exchange - only optimized effective potential in the self - consiste"}
{"subject": "math:arxiv_84238", "predicate": "proves", "object": "we developed a reduced order model ( rom ) using the proper orthogonal decomposition ( pod ) to comp"}
{"subject": "math:arxiv_84249", "predicate": "proves", "object": "the friedmann equation is derived for a newtonian universe . \n changing mass density to energy densi"}
{"subject": "math:arxiv_84259", "predicate": "proves", "object": "we study dust accumulation by photophoresis in optically thin gas disks . using formulae of the phot"}
{"subject": "math:arxiv_84288", "predicate": "proves", "object": "we study the weight filtration on the cohomology of a proper complex algebraic variety and obtain na"}
{"subject": "math:arxiv_84299", "predicate": "proves", "object": "equilibrium atomic configurations and electron energy structure of ethanol adsorbed on the si  ( 111"}
{"subject": "math:arxiv_84366", "predicate": "proves", "object": "mixing effect in a stratified fluid is considered and examined . euler equations for incompressible "}
{"subject": "math:arxiv_84383", "predicate": "proves", "object": "the black hole information paradox is related to the area of event horizon , and potentially to the "}
{"subject": "math:arxiv_84393", "predicate": "proves", "object": "we discuss the coupled variations of the gravitational , strong and electroweak coupling constants a"}
{"subject": "math:arxiv_84396", "predicate": "proves", "object": "the time - dependent extended gross - pitaevskii equation for bose - einstein condensates with attra"}
{"subject": "math:arxiv_84398", "predicate": "proves", "object": "we establish an edge of the wedge theorem for the sheaf of holomorphic functions with exponential gr"}
{"subject": "math:arxiv_84400", "predicate": "proves", "object": "a new test theory for describing tests of fundamental principles of special and general relativity i"}
{"subject": "math:arxiv_84410", "predicate": "proves", "object": "kingman s theorem on skeleton limits  passing from limits as @xmath0 along @xmath1 ( @xmath2 ) for e"}
{"subject": "math:arxiv_84412", "predicate": "proves", "object": "we solved the three - nucleon ( 3n ) faddeev equation including relativistic features at incoming ne"}
{"subject": "math:arxiv_84442", "predicate": "proves", "object": "we consider the acousto - optic effect in a random medium . \n we derive the radiative transport equa"}
{"subject": "math:arxiv_84480", "predicate": "proves", "object": "we show that a two dimensional wormhole geometry is equivalent to a catenoid , a minimal surface . \n"}
{"subject": "math:arxiv_84500", "predicate": "proves", "object": "in the disproof of the strong simplex conjecture presented in @xcite , a counterexample signal set w"}
{"subject": "math:arxiv_84511", "predicate": "proves", "object": "the gaussian formula and spherical aberrations of the static and relativistic curved mirrors are ana"}
{"subject": "math:arxiv_84514", "predicate": "proves", "object": "we give two simple proofs of a conjecture of richard stanley concerning the equidistribution of dera"}
{"subject": "math:arxiv_84530", "predicate": "proves", "object": "analytical solution of the homoclinic orbit of a two dimensional system of differential equations th"}
{"subject": "math:arxiv_84546", "predicate": "proves", "object": "we study the light transmission in two - dimensional photonic crystal waveguides with embedded nonli"}
{"subject": "math:arxiv_84547", "predicate": "proves", "object": "the ac josephson effect in hybrid systems of a normal mesoscopic conductor coupled to two supercondu"}
{"subject": "math:arxiv_84556", "predicate": "proves", "object": "the well known three gap theorem states that there are at most three gap sizes in the sequence of fr"}
{"subject": "math:arxiv_84565", "predicate": "proves", "object": "this paper proves limit theorems for the number of monochromatic edges in uniform random colorings o"}
{"subject": "math:arxiv_84568", "predicate": "proves", "object": "we use three - dimensional simulations to study the statistics of supersonic turbulence in molecular"}
{"subject": "math:arxiv_84582", "predicate": "proves", "object": "the article gives the explicit interpretation of the nonlinear locally anisotropic @xmath0model of b"}
{"subject": "math:arxiv_84584", "predicate": "proves", "object": "the self - organized hydrodynamic models can be derived from the kinetic version of the vicsek model"}
{"subject": "math:arxiv_84590", "predicate": "proves", "object": "let @xmath0 be an algebraically closed field of characteristic @xmath1 and let @xmath2 be the symple"}
{"subject": "math:arxiv_84609", "predicate": "proves", "object": "solitary waves in one - dimensional periodic media are discussed employing the nonlinear schrdinger "}
{"subject": "math:arxiv_84620", "predicate": "proves", "object": "we present a review of the normal form theory for weakly dispersive nonlinear wave equations where t"}
{"subject": "math:arxiv_84641", "predicate": "proves", "object": "the lopsided lovsz local lemma ( llll ) is a probabilistic tool which is a cornerstone of the probab"}
{"subject": "math:arxiv_84643", "predicate": "proves", "object": "neutrinos may possibly violate the spin - statistics theorem , and hence obey bose statistics or mix"}
{"subject": "math:arxiv_84668", "predicate": "proves", "object": "we establish a black hole uniqueness theorem for schwarzschild - de  sitter spacetime , also called "}
{"subject": "math:arxiv_84672", "predicate": "proves", "object": "based on the capillary pore model ( space - charge theory ) for combined fluid and ion flow through "}
{"subject": "math:arxiv_84693", "predicate": "proves", "object": "we present an application of hodge theory towards the study of irreducible unitary representations o"}
{"subject": "math:arxiv_84699", "predicate": "proves", "object": "vacuum expectation values of the field square and the energy - momentum tensor for the electromagnet"}
{"subject": "math:arxiv_84705", "predicate": "proves", "object": "we demonstrate the remarkable effectiveness of boundary value formulations coupled to numerical cont"}
{"subject": "math:arxiv_84706", "predicate": "proves", "object": "we consider a class of multi - robot motion planning problems where each robot is associated with mu"}
{"subject": "math:arxiv_84718", "predicate": "proves", "object": "a filling dehn sphere @xmath0 in a closed 3-manifold @xmath1 is a sphere transversely immersed in @x"}
{"subject": "math:arxiv_84719", "predicate": "proves", "object": "by using the pekeris approximation , the schr@xmath0dinger equation is approximately solved for the "}
{"subject": "math:arxiv_84727", "predicate": "proves", "object": "we present results from detailed general relativistic simulations of stellar core collapse to a prot"}
{"subject": "math:arxiv_84736", "predicate": "proves", "object": "fundamental concepts in the quasi - one - dimensional geometry of disordered wires and random wavegu"}
{"subject": "math:arxiv_84757", "predicate": "proves", "object": "we compute the deeply virtual compton scattering ( dvcs ) amplitude for forward and backward scatter"}
{"subject": "math:arxiv_84793", "predicate": "proves", "object": "we consider the linear and nonlinear schrdinger equation for a bose - einstein condensate in a harmo"}
{"subject": "math:arxiv_84800", "predicate": "proves", "object": "this note aims at demonstrating the advantage of moving - water well - balanced schemes over still -"}
{"subject": "math:arxiv_84806", "predicate": "proves", "object": "we study the linear differential equation @xmath0 in @xmath1:@xmath1 resonance . \n that is , @xmath2"}
{"subject": "math:arxiv_84807", "predicate": "proves", "object": "we review the generalized monopole in the five - dimensional euclidean space . \n a numerical solutio"}
{"subject": "math:arxiv_84819", "predicate": "proves", "object": "in this paper , we propose a non - monotone line search method for solving optimization problems on "}
{"subject": "math:arxiv_84831", "predicate": "proves", "object": "for any hyperbolic genus one @xmath0-bridge knot in the @xmath1-sphere , we show that the resulting "}
{"subject": "math:arxiv_84842", "predicate": "proves", "object": "we argue that the well known dynes formula [ dynes r c _ et al . _ \n 1978 _ phys . \n rev . \n lett . "}
{"subject": "math:arxiv_84850", "predicate": "proves", "object": "myron mathisson ( 1897 - 1940 ) was a polish jew known for his work on the equations of motion of bo"}
{"subject": "math:arxiv_84863", "predicate": "proves", "object": "spin - orbit coupling introduces chirality into the electronic structure . \n this can have profound "}
{"subject": "math:arxiv_84866", "predicate": "proves", "object": "* abstract : *  the ( 2 + 1)-dimensional generalized nizhnik - novikov - veselov equations ( gnnves "}
{"subject": "math:arxiv_84870", "predicate": "proves", "object": "we show that the julia set of quadratic maps with parameters in hyperbolic components of the mandelb"}
{"subject": "math:arxiv_84880", "predicate": "proves", "object": "we study cosmological phase transitions from modified equations of motion by introducing two noncomm"}
{"subject": "math:arxiv_84890", "predicate": "proves", "object": "let @xmath0 be the maximal nilpotent subalgebra of a simple complex lie algebra @xmath1 . we introdu"}
{"subject": "math:arxiv_84944", "predicate": "proves", "object": "in this work , we develop shape expansions of minimal matchbox manifolds without holonomy , in terms"}
{"subject": "math:arxiv_84951", "predicate": "proves", "object": "in this paper , a delay differential equations ( ddes ) model of leukemia is introduced and its dyna"}
{"subject": "math:arxiv_84957", "predicate": "proves", "object": "we present numerical solutions of the 2d relativistic hydrodynamics equations describing the deceler"}
{"subject": "math:arxiv_84966", "predicate": "proves", "object": "to a numerical semigroup  @xmath0 , eliahou associated a number @xmath1 and proved that numerical se"}
{"subject": "math:arxiv_84981", "predicate": "proves", "object": "we present a novel geometry of scintillator tiles developed for fiberless coupling to silicon photom"}
{"subject": "math:arxiv_84983", "predicate": "proves", "object": "for characterizing the brownian motion in a bounded domain : @xmath0 , it is well - known that the b"}
{"subject": "math:arxiv_84985", "predicate": "proves", "object": "the sensitivities of isospin asymmetry and collision geometry dependences of participant ( overlappi"}
{"subject": "math:arxiv_84989", "predicate": "proves", "object": "we study the evolution of a homogeneous and isotropic spacetime whose spatial sections have three - "}
{"subject": "math:arxiv_84996", "predicate": "proves", "object": "a dynamical system is a triple @xmath0 , consisting of a unital locally convex algebra @xmath1 , a t"}
{"subject": "math:arxiv_84997", "predicate": "proves", "object": "we present formulae for the chiral extrapolation of spin - dependent and spin - independent moments "}
{"subject": "math:arxiv_85010", "predicate": "proves", "object": "in this paper we study the c*-envelope of the ( non - self - adjoint ) tensor algebra associated via"}
{"subject": "math:arxiv_85012", "predicate": "proves", "object": "we investigate the integrability of generalized nonautonomous nonlinear schrdinger ( nls ) equations"}
{"subject": "math:arxiv_85030", "predicate": "proves", "object": "we investigate a six - dimensional universal extra - dimensional model in the extension of an effect"}
{"subject": "math:arxiv_85033", "predicate": "proves", "object": "we present the study of parametric resonance in a one - dimensional cavity based on the analysis of "}
{"subject": "math:arxiv_85034", "predicate": "proves", "object": "it has been revealed that the magnetic topology in the solar atmosphere displays hemispheric prefere"}
{"subject": "math:arxiv_85056", "predicate": "proves", "object": "we construct the invisible quantum barrier which represents the phenomenon of quantum reflection usi"}
{"subject": "math:arxiv_85093", "predicate": "proves", "object": "mv - algebras can be viewed either as the lindenbaum algebras of ukasiewicz  infinite - valued logic"}
{"subject": "math:arxiv_85095", "predicate": "proves", "object": "we report recent progress in computer simulations of quantum systems described in the path - integra"}
{"subject": "math:arxiv_85096", "predicate": "proves", "object": "an analytical formula is obtained to describe the evolution of the average populations of spin compo"}
{"subject": "math:arxiv_85107", "predicate": "proves", "object": "we establish a novel generalization of the fluctuation theorem for partially - masked nonequilibrium"}
{"subject": "math:arxiv_85108", "predicate": "proves", "object": "some necessary and sufficient conditions are obtained for the controllability and observability of a"}
{"subject": "math:arxiv_85130", "predicate": "proves", "object": "variables parametrized by closed and open curves are defined to reformulate compact u(1 ) quantum el"}
{"subject": "math:arxiv_85154", "predicate": "proves", "object": "we study the radial schroedinger equation for a particle of mass m in the field of a singular attrac"}
{"subject": "math:arxiv_85178", "predicate": "proves", "object": "we propose a system of nonlinear integral equations ( nlie ) which gives the free energy of the @xma"}
{"subject": "math:arxiv_85194", "predicate": "proves", "object": "we studied nonequilibrium oscillations between left - handed electron neutrinos and nonthermalized s"}
{"subject": "math:arxiv_85196", "predicate": "proves", "object": "we give completely combinatorial proofs of the main results of [ [ faithful ] ] using polygons . \n n"}
{"subject": "math:arxiv_85213", "predicate": "proves", "object": "this paper is concerned with the long - time dynamics of the nonlinear wave equation in one - space "}
{"subject": "math:arxiv_85228", "predicate": "proves", "object": "in this paper the response of ionic systems subjected to a spatially varying electric field is studi"}
{"subject": "math:arxiv_85231", "predicate": "proves", "object": "we consider the two - dimensional advection - diffusion equation on a bounded domain subject to eith"}
{"subject": "math:arxiv_85235", "predicate": "proves", "object": "we review uniqueness theorems as well as other general results about higher dimensional black hole s"}
{"subject": "math:arxiv_85247", "predicate": "proves", "object": "the paper is devoted to numerical study of stability of nonlinear localized modes ( `` gap solitons "}
{"subject": "math:arxiv_85253", "predicate": "proves", "object": "we provide a formula for extracting the value of the @xmath0 of the linear matter fluctuations on a "}
{"subject": "math:arxiv_85266", "predicate": "proves", "object": "the advection  diffusion equation  can be approximated by a one - dimensional diffusion equation in "}
{"subject": "math:arxiv_85299", "predicate": "proves", "object": "we study the @xmath0-mode frequencies and damping times of nonrotating neutron stars ( ns ) in gener"}
{"subject": "math:arxiv_85308", "predicate": "proves", "object": "equation of motion for a comet in the oort cloud is numerically solved . \n orbital evolution of the "}
{"subject": "math:arxiv_85315", "predicate": "proves", "object": "we argue that gdel s completeness theorem is equivalent to completability of consistent theories , a"}
{"subject": "math:arxiv_85318", "predicate": "proves", "object": "we develop a theory of collective spin dynamics triggered by ultrafast optical excitation of ferroma"}
{"subject": "math:arxiv_85322", "predicate": "proves", "object": "the nearest point map of a real algebraic variety with respect to euclidean distance is an algebraic"}
{"subject": "math:arxiv_85339", "predicate": "proves", "object": "we give explicit integral formulas for the solutions of planar conjugate conductivity equations in a"}
{"subject": "math:arxiv_85362", "predicate": "proves", "object": "within the confined isospin- and density - dependent mass model , we study the properties of strange"}
{"subject": "math:arxiv_85379", "predicate": "proves", "object": "it is shown in @xcite that , using only tools of elementary geometry , the classical routh s theorem"}
{"subject": "math:arxiv_85401", "predicate": "proves", "object": "using perturbative techniques , we investigate the existence and properties of a new static solution"}
{"subject": "math:arxiv_85413", "predicate": "proves", "object": "we study representations of the schrdinger algebra in terms of operators in nonrelativistic conforma"}
{"subject": "math:arxiv_85449", "predicate": "proves", "object": "in this article , a special static spherically symmetric perfect fluid solution of einstein s equati"}
{"subject": "math:arxiv_85450", "predicate": "proves", "object": "we discuss algorithms applicable to the numerical solution of second - order ordinary differential e"}
{"subject": "math:arxiv_85454", "predicate": "proves", "object": "in 1992 , wilf and zeilberger conjectured that a hypergeometric term in several discrete and continu"}
{"subject": "math:arxiv_85462", "predicate": "proves", "object": "the formulation of the initial value problem for the einstein equations is at the heart of obtaining"}
{"subject": "math:arxiv_85463", "predicate": "proves", "object": "we review some approaches to the understanding of fluctuations in some models used to describe socio"}
{"subject": "math:arxiv_85491", "predicate": "proves", "object": "the swimming of an elliptical disk at small reynolds number is studied on the basis of a perturbativ"}
{"subject": "math:arxiv_85493", "predicate": "proves", "object": "the precise measurement of the high masses of the pulsars psr j1614 - 2230 ( @xmath0 ) and psr j0348"}
{"subject": "math:arxiv_85512", "predicate": "proves", "object": "we formulate and analyze a three - dimensional model of motion camouflage , a stealth strategy obser"}
{"subject": "math:arxiv_85515", "predicate": "proves", "object": "the one - band hubbard model on the pyrochlore lattice contains an extended quantum spin - liquid ph"}
{"subject": "math:arxiv_85516", "predicate": "proves", "object": "we measure the power spectrum of galaxy clustering in real space from the apm galaxy survey . \n we p"}
{"subject": "math:arxiv_85523", "predicate": "proves", "object": "we provide a numerical method to calculate comprehensively the microwave and the laser spectra of ul"}
{"subject": "math:arxiv_85583", "predicate": "proves", "object": "the time - dependent probability distribution function of the height for the kardar - parisi - zhang"}
{"subject": "math:arxiv_85597", "predicate": "proves", "object": "we discuss the statistical properties of lifetimes of electromagnetic eigenmodes in dielectric micro"}
{"subject": "math:arxiv_85602", "predicate": "proves", "object": "a closed formula is obtained for the infrared singularities of dimensionally regularized , massless "}
{"subject": "math:arxiv_85619", "predicate": "proves", "object": "we describe a new geometrical solution of the wheeler- dewitt equation in two dimensional quantum gr"}
{"subject": "math:arxiv_85626", "predicate": "proves", "object": "homogenization of the equations of motion for a three dimensional periodic elastic system is conside"}
{"subject": "math:arxiv_85627", "predicate": "proves", "object": "we present a proof of the theorem which states that a matrix of euclidean distances on a set of spec"}
{"subject": "math:arxiv_85636", "predicate": "proves", "object": "the chaos weighted wall formula developed earlier for systems with partially chaotic single particle"}
{"subject": "math:arxiv_85643", "predicate": "proves", "object": "many predictions of doppler cooling theory of two - level atoms have never been verified in a three "}
{"subject": "math:arxiv_85657", "predicate": "proves", "object": "the central overlap phase of cosmological hydrogen reionization is fundamentally a change in the top"}
{"subject": "math:arxiv_85681", "predicate": "proves", "object": "we present a robust scheme for solving the electrokinetic equations . \n this goal is achieved by com"}
{"subject": "math:arxiv_85685", "predicate": "proves", "object": "we study the variation of the differential conductance @xmath0 of a normal metal wire in a supercond"}
{"subject": "math:arxiv_85705", "predicate": "proves", "object": "recently , press and dyson have proposed a new class of probabilistic and conditional strategies for"}
{"subject": "math:arxiv_85720", "predicate": "proves", "object": "the equation of state of a system at equilibrium may be derived from the canonical or the grand cano"}
{"subject": "math:arxiv_85727", "predicate": "proves", "object": "new method of calculation of master integrals using differential equations and asymptotical expansio"}
{"subject": "math:arxiv_85742", "predicate": "proves", "object": "the self - consistent theory of localization is generalized to account for a weak quadratic nonlinea"}
{"subject": "math:arxiv_85745", "predicate": "proves", "object": "curves in a family derived from powers of the polar coordinate formula for ellipses are found to pro"}
{"subject": "math:arxiv_85748", "predicate": "proves", "object": "we propose a new framework for deriving screening rules for convex optimization problems . \n our app"}
{"subject": "math:arxiv_85755", "predicate": "proves", "object": "for every finite dimensional lie supergroup @xmath0 , we define a @xmath1-algebra @xmath2 , and show"}
{"subject": "math:arxiv_85758", "predicate": "proves", "object": "we introduce scattering - symplectic manifolds , manifolds with a type of minimally degenerate poiss"}
{"subject": "math:arxiv_85762", "predicate": "proves", "object": "in this paper we study the controllability of networked systems with static network topologies using"}
{"subject": "math:arxiv_85772", "predicate": "proves", "object": "using the algebraic approach to entanglement entropy , we study several dual pairs of lattice theori"}
{"subject": "math:arxiv_85779", "predicate": "proves", "object": "we consider two - dimensional fermi liquids in the vicinity of a quantum transition to a phase with "}
{"subject": "math:arxiv_85792", "predicate": "proves", "object": "we report detailed fermi surface topology and quasiparticle dynamics of the host cobaltate na@xmath0"}
{"subject": "math:arxiv_85794", "predicate": "proves", "object": "in this work we derive the equations of motion governing the hydrodynamics of spin-@xmath0 spinor co"}
{"subject": "math:arxiv_85801", "predicate": "proves", "object": "we look for singlevalued solutions of the squared modulus @xmath0 of the traveling wave reduction of"}
{"subject": "math:arxiv_85827", "predicate": "proves", "object": "i elaborate on the argument that the violation of hara s theorem for conserved current requires that"}
{"subject": "math:arxiv_85834", "predicate": "proves", "object": "some theorems for a static prefect fluid sphere , i.e. a star , in the presence of a positive cosmol"}
{"subject": "math:arxiv_85836", "predicate": "proves", "object": "the perturbed friedmann - lematre - robertson - walker models allow many different possibilities for"}
{"subject": "math:arxiv_85867", "predicate": "proves", "object": "in this second part of the work , we correct the flaw which was left in the proof of the main theore"}
{"subject": "math:arxiv_85884", "predicate": "proves", "object": "we develop in detail a graphical tensor product reduction scheme , first described by antoine and sp"}
{"subject": "math:arxiv_85906", "predicate": "proves", "object": "we prove that the gromov - witten moduli space of a compact symplectic manifold carries a unique vir"}
{"subject": "math:arxiv_85920", "predicate": "proves", "object": "this note treats the notion of lagrange derivative for the third order mechanics in the context of c"}
{"subject": "math:arxiv_85926", "predicate": "proves", "object": "we consider a non - compact riemannian periodic manifold such that the corresponding laplacian has a"}
{"subject": "math:arxiv_85927", "predicate": "proves", "object": "we use elliptic divisibility sequences to describe a method for estimating the global canonical heig"}
{"subject": "math:arxiv_85941", "predicate": "proves", "object": "we furnish an algebraic understanding of the inequivalent connectivities ( computed up to @xmath0 ) "}
{"subject": "math:arxiv_85944", "predicate": "proves", "object": "we establish the equivalence of the tuynman midpoint area formula for a spherical triangle to the cl"}
{"subject": "math:arxiv_85951", "predicate": "proves", "object": "in this work , we develop a new method to design energy minimum low - thrust missions ( @xmath0-mini"}
{"subject": "math:arxiv_85956", "predicate": "proves", "object": "fluctuating entropy production is studied for a set of linearly coupled complex fields . \n the gener"}
{"subject": "math:arxiv_85966", "predicate": "proves", "object": "we derive a formula for the reliability of a @xmath0-dimensional consecutive-@xmath1-out - of-@xmath"}
{"subject": "math:arxiv_85974", "predicate": "proves", "object": "we study asymptotically lifshitz solutions to three dimensional higher spin gravity in the @xmath0 c"}
{"subject": "math:arxiv_85980", "predicate": "proves", "object": "the fluid - gravity correspondence provides us with explicit spacetime metrics that are holographica"}
{"subject": "math:arxiv_85993", "predicate": "proves", "object": "we prove statistical stability and robustness of the variance in the central limit theorem ( clt ) f"}
{"subject": "math:arxiv_86002", "predicate": "proves", "object": "we rewrite the 1 + 1 dirac equation in light cone coordinates in two significant forms , and solve t"}
{"subject": "math:arxiv_86009", "predicate": "proves", "object": "the capture of compact stellar remnants by galactic black holes provides a unique laboratory for exp"}
{"subject": "math:arxiv_86011", "predicate": "proves", "object": "the  @xmath0-model \" for dimensional reduction is applied to the estimation of the rate of decay of "}
{"subject": "math:arxiv_86014", "predicate": "proves", "object": "we formulate the laws governing the dynamics of a crystalline solid in which a continuous distributi"}
{"subject": "math:arxiv_86019", "predicate": "proves", "object": "we calculate the chiral and thermal susceptibilities for two confining dyson - schwinger equation mo"}
{"subject": "math:arxiv_86036", "predicate": "proves", "object": "we are interested in the averaged behavior of interfaces moving in stationary ergodic environments ,"}
{"subject": "math:arxiv_86041", "predicate": "proves", "object": "the topological tverberg theorem claims that any continuous map of a @xmath0-simplex to  @xmath1 ide"}
{"subject": "math:arxiv_86061", "predicate": "proves", "object": "the scalar higgs boson mass in a technicolor model was obtained by elias and scadron with the analys"}
{"subject": "math:arxiv_86074", "predicate": "proves", "object": "we develop both the gravity and field theory sides of the karch - randall conjecture that the near -"}
{"subject": "math:arxiv_86085", "predicate": "proves", "object": "we study the exchange constants of mnv@xmath0o@xmath1 using magnetic force theorem and local spin de"}
{"subject": "math:arxiv_86088", "predicate": "proves", "object": "inspired by the work of alday , gaiotto and tachikawa ( agt ) , we saw the revival of poincar s unif"}
{"subject": "math:arxiv_86089", "predicate": "proves", "object": "a three - dimensional continuum dislocation theory for single crystals containing curved dislocation"}
{"subject": "math:arxiv_86100", "predicate": "proves", "object": "we introduce an analytical model for population dynamics with intra - specific competition , mutatio"}
{"subject": "math:arxiv_86103", "predicate": "proves", "object": "in this paper we give a unified description of the archimedean and the totally split degenerate fibe"}
{"subject": "math:arxiv_86108", "predicate": "proves", "object": "the well known hellmann - feynman theorem of quantum mechanics connected with the derivative of the "}
{"subject": "math:arxiv_86154", "predicate": "proves", "object": "motivated by affine schubert calculus , we construct a family of dual graded graphs @xmath0 for an a"}
{"subject": "math:arxiv_86155", "predicate": "proves", "object": "we consider cigar shaped fermi superfluid in the bec - bcs crossover . using polytropic form of equa"}
{"subject": "math:arxiv_86160", "predicate": "proves", "object": "we consider the system of bi  orthogonal polynomials with respect to a complex valued measure suppor"}
{"subject": "math:arxiv_86161", "predicate": "proves", "object": "we have derived a new set of semiclassical equations for electrons in magnetic bloch bands . the vel"}
{"subject": "math:arxiv_86169", "predicate": "proves", "object": "we study the existence and uniqueness of wavefronts to the scalar reaction - diffusion equations @xm"}
{"subject": "math:arxiv_86180", "predicate": "proves", "object": "recently bes2 collaboration observed an enhancement near the @xmath0 invariant mass spectrum . using"}
{"subject": "math:arxiv_86182", "predicate": "proves", "object": "based on nakajima s classification theorem @xcite we describe the precise form of the binomial equat"}
{"subject": "math:arxiv_86210", "predicate": "proves", "object": "a multi - channel algebraic scattering theory , to find solutions of coupled - channel scattering pr"}
{"subject": "math:arxiv_86218", "predicate": "proves", "object": "we give a 1 - 1 correspondence with the young wall realization and the young tableau realization of "}
{"subject": "math:arxiv_86227", "predicate": "proves", "object": "we give an effective upper escape rate function for brownian motion on a complete riemannian manifol"}
{"subject": "math:arxiv_86250", "predicate": "proves", "object": "a lyapunov - based approach for the trajectory generation of an @xmath0-dimensional schrdinger equat"}
{"subject": "math:arxiv_86257", "predicate": "proves", "object": "effects of resonant acoustic phonon scattering on magnetoresistivity are examined in two - dimension"}
{"subject": "math:arxiv_86259", "predicate": "proves", "object": "we consider a model where a population of diffusively coupled limit - cycle oscillators , described "}
{"subject": "math:arxiv_86264", "predicate": "proves", "object": "situations of conflict giving rise to social dilemmas are widespread in society and game theory is o"}
{"subject": "math:arxiv_86274", "predicate": "proves", "object": "for quantum theories with a classical limit ( which includes the large @xmath0 limits of typical fie"}
{"subject": "math:arxiv_86291", "predicate": "proves", "object": "grinblat ( 2002 ) asks the following question in the context of algebras of sets : what is the small"}
{"subject": "math:arxiv_86293", "predicate": "proves", "object": "we consider implications of dynamical borel - cantelli lemmas for rates of growth of birkhoff sums o"}
{"subject": "math:arxiv_86298", "predicate": "proves", "object": "we study transport through a coulomb blockaded topologically nontrivial superconducting wire ( with "}
{"subject": "math:arxiv_86299", "predicate": "proves", "object": "we present quantum maxwell - bloch equations ( qmbe ) for spatially inhomogeneous optical semiconduc"}
{"subject": "math:arxiv_86317", "predicate": "proves", "object": "for a class of riemannian manifolds that include products of arbitrary compact manifolds with manifo"}
{"subject": "math:arxiv_86359", "predicate": "proves", "object": "one interpretation of torelli s theorem , which asserts that a compact riemann surface @xmath0 of ge"}
{"subject": "math:arxiv_86369", "predicate": "proves", "object": "in this work we consider weak solutions of the incompressible 2-d porous media equation . by using t"}
{"subject": "math:arxiv_86375", "predicate": "proves", "object": "the vortex penetration field of the multilayer coating model with a single superconductor layer and "}
{"subject": "math:arxiv_86379", "predicate": "proves", "object": "we propose the use of a self - oscillating dynamical system the pre - galileian clock equation for m"}
{"subject": "math:arxiv_86387", "predicate": "proves", "object": "we consider modified theories of gravity with a direct coupling between matter and geometry , denote"}
{"subject": "math:arxiv_86390", "predicate": "proves", "object": "we present a theory for the kinetics of surfactant adsorption at the interface between an aqueous so"}
{"subject": "math:arxiv_86407", "predicate": "proves", "object": "the casimir force can be understood as resulting from the radiation pressure exerted by the vacuum f"}
{"subject": "math:arxiv_86408", "predicate": "proves", "object": "the stable and unstable manifolds of an invariant set of a piecewise - smooth map are themselves pie"}
{"subject": "math:arxiv_86413", "predicate": "proves", "object": "we briefly review the spin structure of the nucleon and show that it is best thought in the light - "}
{"subject": "math:arxiv_86435", "predicate": "proves", "object": "a connection between real poles of the growth functions for coxeter groups acting on hyperbolic spac"}
{"subject": "math:arxiv_86440", "predicate": "proves", "object": "we study the spin - dependent transport through a quantum dot coupled to two ferromagnetic electrode"}
{"subject": "math:arxiv_86455", "predicate": "proves", "object": "we present an explicit formula for the deformation quantization on khler manifolds .    _ _ _ _ _ _ "}
{"subject": "math:arxiv_86490", "predicate": "proves", "object": "we study 2d discrete integrable equations of order @xmath0 with respect to one independent variable "}
{"subject": "math:arxiv_86516", "predicate": "proves", "object": "a generalised canonical formulation of gravity is devised for foliations of spacetime with codimensi"}
{"subject": "math:arxiv_86523", "predicate": "proves", "object": "based on a geometric discretization scheme for maxwell equations , we unveil a mathematical _ _  _ _"}
{"subject": "math:arxiv_86525", "predicate": "proves", "object": "this paper focuses on the @xmath0 tensor product algebra , which encapsulates the decomposition of t"}
{"subject": "math:arxiv_86533", "predicate": "proves", "object": "for a class of solutions of the fundamental difference equation of isotropic loop quantum cosmology "}
{"subject": "math:arxiv_86543", "predicate": "proves", "object": "in a `` naive '' attempt to create algebraic quantum field theories on the circle , we obtain a fami"}
{"subject": "math:arxiv_86548", "predicate": "proves", "object": "the tait conjecture states that alternating reduced diagrams of links in @xmath0 have the minimal nu"}
{"subject": "math:arxiv_86562", "predicate": "proves", "object": "cms calorimeter energy calibration was done in the full cms simulated geometry for the pseudorapidit"}
{"subject": "math:arxiv_86564", "predicate": "proves", "object": "we show , through newtonian approximation , that shifting to a bimetric model of the universe based "}
{"subject": "math:arxiv_86565", "predicate": "proves", "object": "series expansion based on the flow equation method is employed to study the zero temperature propert"}
{"subject": "math:arxiv_86573", "predicate": "proves", "object": "we present an analytical study of diamagnetism and transport in a film with superconducting phase fl"}
{"subject": "math:arxiv_86578", "predicate": "proves", "object": "we extend the kitaev model defined for the pauli - matrices to the clifford algebra of @xmath0-matri"}
{"subject": "math:arxiv_86600", "predicate": "proves", "object": "an approach based on a non - markovian time - convolutionless polaron master equation is used to pro"}
{"subject": "math:arxiv_86606", "predicate": "proves", "object": "we investigate the recently proposed label - propagation algorithm ( lpa ) for identifying network c"}
{"subject": "math:arxiv_86613", "predicate": "proves", "object": "in this work , supersymmetric quantum mechanics will be used to obtain complex solutions to painlev "}
{"subject": "math:arxiv_86617", "predicate": "proves", "object": "we show that the first order form of the schrdinger equation proposed in @xcite can be obtained from"}
{"subject": "math:arxiv_86637", "predicate": "proves", "object": "a cyclic cover over @xmath0 branched at four points inherits a natural flat structure from the `` pi"}
{"subject": "math:arxiv_86671", "predicate": "proves", "object": "the calculation of the polarization in ferroelectric thin films is performed using an analytical sol"}
{"subject": "math:arxiv_86676", "predicate": "proves", "object": "we prove that nagaoka s theorem , that the large-@xmath0 hubbard model with exactly one hole is ferr"}
{"subject": "math:arxiv_86681", "predicate": "proves", "object": "we formulate and prove a qcd factorization theorem for hard exclusive electroproduction of mesons in"}
{"subject": "math:arxiv_86684", "predicate": "proves", "object": "we study the bimetric massive gravity theory . by concentrating on the minimal scenario , \n we discu"}
{"subject": "math:arxiv_86685", "predicate": "proves", "object": "0.2 cm using moment equations we analyze collective flavor transformation of supernova neutrinos . \n"}
{"subject": "math:arxiv_86693", "predicate": "proves", "object": "we apply tropical geometry to study the image of a map defined by laurent polynomials with generic c"}
{"subject": "math:arxiv_86735", "predicate": "proves", "object": "a bbgky - like hierarchy is derived from the non - equilibrium redfield equation . \n two further app"}
{"subject": "math:arxiv_86754", "predicate": "proves", "object": "rayleigh - bnard convection is studied and quantitative comparisons are made , where possible , betw"}
{"subject": "math:arxiv_86761", "predicate": "proves", "object": "electronic band structure for electrons bound on periodic minimal surfaces is differential - geometr"}
{"subject": "math:arxiv_86766", "predicate": "proves", "object": "we consider cosmological applications of a new self - consistent system of equations , accounting fo"}
{"subject": "math:arxiv_86768", "predicate": "proves", "object": "in this article , we apply homotopy perturbation method ( hpm ) for solving three coupled non - line"}
{"subject": "math:arxiv_86786", "predicate": "proves", "object": "a theorem is established where the computation of the discrete conley index for zero dimensional bas"}
{"subject": "math:arxiv_86796", "predicate": "proves", "object": "this paper uses brin and thickstun s theory of end reductions of non - compact 3-manifolds to study "}
{"subject": "math:arxiv_86797", "predicate": "proves", "object": "in this paper we define a new class of weighted complex networks sharing several properties with fra"}
{"subject": "math:arxiv_86799", "predicate": "proves", "object": "assume that samples of a filtered version of a function in a shift - invariant space are avalaible ."}
{"subject": "math:arxiv_86800", "predicate": "proves", "object": "we present a non - commutative version of the cycle lemma of dvoretsky and motzkin that applies to f"}
{"subject": "math:arxiv_86808", "predicate": "proves", "object": "topological insulators ( tis ) are a new class of matter characterized by the unique electronic prop"}
{"subject": "math:arxiv_86810", "predicate": "proves", "object": "we develop a statistical - mechanical formulation for image restoration and error - correcting codes"}
{"subject": "math:arxiv_86831", "predicate": "proves", "object": "we present a process algebra based approach to formalize the interactions of computing devices such "}
{"subject": "math:arxiv_86837", "predicate": "proves", "object": "we calculate the @xmath0 form factors in the heavy - quark and large - recoil limits in the perturba"}
{"subject": "math:arxiv_86839", "predicate": "proves", "object": "in this note we briefly review some recent results of the authors on the topological and geometrical"}
{"subject": "math:arxiv_86857", "predicate": "proves", "object": "we use ideas from algebraic geometry and dynamical systems to explain some ways that control points "}
{"subject": "math:arxiv_86858", "predicate": "proves", "object": "numerical quantum transport calculations are commonly based on a tight - binding formulation . \n a w"}
{"subject": "math:arxiv_86861", "predicate": "proves", "object": "we study the whitham equations for the camassa - holm equation . \n the equations are neither strictl"}
{"subject": "math:arxiv_86874", "predicate": "proves", "object": "the equation of state and bulk and shear viscosities are shown to be able to affect the transverse d"}
{"subject": "math:arxiv_86881", "predicate": "proves", "object": "mechanistic dynamic models of biochemical networks such as ordinary differential equations ( odes ) "}
{"subject": "math:arxiv_86889", "predicate": "proves", "object": "we investigate the lagrangian perturbation theory of a general dark energy models with a constant eq"}
{"subject": "math:arxiv_86892", "predicate": "proves", "object": "a symmetrical binary mixture ab that exhibits a critical temperature t@xmath0 of phase separation in"}
{"subject": "math:arxiv_86893", "predicate": "proves", "object": "the normal state of the holstein model is studied at half - filling in infinite dimensions and in th"}
{"subject": "math:arxiv_86904", "predicate": "proves", "object": "we obtain an @xmath0-algebra model on @xmath1 , the shifted integral chains on the mapping space of "}
{"subject": "math:arxiv_86910", "predicate": "proves", "object": "in a previous article we have presented a construction of refined analytic torsion in the spirit of "}
{"subject": "math:arxiv_86916", "predicate": "proves", "object": "we give a gauge - independent definition of abelian dominance in the wilson loop operator and a cons"}
{"subject": "math:arxiv_86922", "predicate": "proves", "object": "we prove a lagrangian analogue of the conley conjecture : given a 1-periodic tonelli lagrangian with"}
{"subject": "math:arxiv_86941", "predicate": "proves", "object": "in this paper , we propose a multi - component system of camassa - holm equation , denoted by ch(@xm"}
{"subject": "math:arxiv_86942", "predicate": "proves", "object": "energy and momentum lost by hard jets propagating through hot and dense nuclear matter have to be re"}
{"subject": "math:arxiv_86958", "predicate": "proves", "object": "this paper is concerned with developing and analyzing convergent semi - lagrangian methods for the f"}
{"subject": "math:arxiv_86961", "predicate": "proves", "object": "we investigate the mean - field dynamics of a bose - einstein condensate ( bec ) described by the gr"}
{"subject": "math:arxiv_86963", "predicate": "proves", "object": "hydrodynamic equations for an inelastic maxwell model are derived from the inelastic boltzmann equat"}
{"subject": "math:arxiv_86970", "predicate": "proves", "object": "the odderon equation is studied in terms of the variable suggested by the modular invariance of the "}
{"subject": "math:arxiv_86981", "predicate": "proves", "object": "we study the geodesic equation in the space  time of an abelian  higgs string and discuss the motion"}
{"subject": "math:arxiv_87002", "predicate": "proves", "object": "the general unique factorization formula for the tutte polynomial , negami s formula , is not valid "}
{"subject": "math:arxiv_87027", "predicate": "proves", "object": "an expression for the electrical conductivity at the core of a magnetar is derived using boltzmann k"}
{"subject": "math:arxiv_87034", "predicate": "proves", "object": "using the 2d jordan  wigner transformation we reformulate the square  lattice @xmath0 \n @xmath1 ( @x"}
{"subject": "math:arxiv_87050", "predicate": "proves", "object": "the object of this work is the systematical study of a certain type of generalized cartan matrices a"}
{"subject": "math:arxiv_87051", "predicate": "proves", "object": "we test a nonlinear force - free field ( nlfff ) optimization code in spherical geometry using an an"}
{"subject": "math:arxiv_87058", "predicate": "proves", "object": "we study the phases and fixed - point structure of two - dimensional supersymmetric wess - zumino mo"}
{"subject": "math:arxiv_87075", "predicate": "proves", "object": "we construct three families of general magnetostatic axisymmetric exact solutions of einstein - maxw"}
{"subject": "math:arxiv_87076", "predicate": "proves", "object": "we investigate the long time behaviour of the @xmath0-energy of solutions to wave equations with var"}
{"subject": "math:arxiv_87080", "predicate": "proves", "object": "the determination of a differential equation underlying a measured time series is a frequently arisi"}
{"subject": "math:arxiv_87097", "predicate": "proves", "object": "we propose a numerical recipe for risk evaluation defined by a backward stochastic differential equa"}
{"subject": "math:arxiv_87106", "predicate": "proves", "object": "in this paper we give an asymptotically tight bound for the tolerated tverberg theorem when the dime"}
{"subject": "math:arxiv_87108", "predicate": "proves", "object": "this paper presents a complete description of noise - induced decay of a metastable state in a wide "}
{"subject": "math:arxiv_87109", "predicate": "proves", "object": "we present analytical results for the distribution of shortest path lengths between random pairs of "}
{"subject": "math:arxiv_87114", "predicate": "proves", "object": "the bgk model kinetic equation is applied to spatially inhomogeneous states near steady uniform shea"}
{"subject": "math:arxiv_87118", "predicate": "proves", "object": "we find that motion in internal moduli spaces of generic domain walls has an upper bound for its vel"}
{"subject": "math:arxiv_87136", "predicate": "proves", "object": "this work provides analytical solutions describing the post - shock structure of radiative shocks gr"}
{"subject": "math:arxiv_87138", "predicate": "proves", "object": "it is demonstrated that kerr frequency comb generation described by coupled mode equations can be nu"}
{"subject": "math:arxiv_87144", "predicate": "proves", "object": "it has been common wisdom among mathematicians that extended topological field theory in dimensions "}
{"subject": "math:arxiv_87146", "predicate": "proves", "object": "we study the static correlation functions of the richardson pairing model ( also known as the reduce"}
{"subject": "math:arxiv_87156", "predicate": "proves", "object": "using the complex toda chain ( ctc ) as a model for the propagation of the @xmath0-soliton pulse tra"}
{"subject": "math:arxiv_87161", "predicate": "proves", "object": "we review the @xmath0 conjecture and important ingredients for the proof . \n we also attach notes on"}
{"subject": "math:arxiv_87199", "predicate": "proves", "object": "we consider the thermodynamic properties of @xmath0-dimensional spacetimes with nut charges . such s"}
{"subject": "math:arxiv_87234", "predicate": "proves", "object": "canonical tensor model ( ctm ) is a tensor model formulated in the hamilton formalism as a totally c"}
{"subject": "math:arxiv_87243", "predicate": "proves", "object": "we find a resonance free region polynomially close to the critical line on conformally compact manif"}
{"subject": "math:arxiv_87246", "predicate": "proves", "object": "let @xmath0 be a prime number . \n we compute the yoneda extension algebra of @xmath1 over an algebra"}
{"subject": "math:arxiv_87255", "predicate": "proves", "object": "in cosmology one labels the time @xmath0 since the big bang in terms of the redshift of light emitte"}
{"subject": "math:arxiv_87257", "predicate": "proves", "object": "the equation of state ( eos ) of dense matter represents a central issue in the study of compact ast"}
{"subject": "math:arxiv_87261", "predicate": "proves", "object": "a version of the jenkins - serrin theorem for the existence of cmc graphs over bounded domains with "}
{"subject": "math:arxiv_87266", "predicate": "proves", "object": "the response of a cross - correlation measurement to an isotropic stochastic gravitational - wave ba"}
{"subject": "math:arxiv_87271", "predicate": "proves", "object": "a previous knowledge of the domains of dependence of an hamilton jacobi equation can be useful in it"}
{"subject": "math:arxiv_87273", "predicate": "proves", "object": "the _ global attractor conjecture _ says that toric dynamical systems ( i.e. , a class of polynomial"}
{"subject": "math:arxiv_87274", "predicate": "proves", "object": "one can solve the jeans equation analytically for equilibrated dark matter structures , once given t"}
{"subject": "math:arxiv_87275", "predicate": "proves", "object": "bi@xmath0se@xmath1 is a well known 3d - topological insulators(ti ) with a non - trivial berry phase"}
{"subject": "math:arxiv_87293", "predicate": "proves", "object": "in this note we shortly recall the importance of last - hitting times in theory and applications of "}
{"subject": "math:arxiv_87306", "predicate": "proves", "object": "a rota  baxter algebra , also known as a baxter algebra , is an algebra with a linear operator satis"}
{"subject": "math:arxiv_87312", "predicate": "proves", "object": "in this paper we write a system of integral equations for a capacitor composed by two disks of diffe"}
{"subject": "math:arxiv_87313", "predicate": "proves", "object": "we find the solution to the dirac equation for a massive neutrino with a magnetic moment propagating"}
{"subject": "math:arxiv_87340", "predicate": "proves", "object": "we introduce an experimentally accessible method to measure a unique degree of nonclassicality , bas"}
{"subject": "math:arxiv_87346", "predicate": "proves", "object": "low energy string theory predicts the existence of an axion field which can lead to cosmic birefring"}
{"subject": "math:arxiv_87349", "predicate": "proves", "object": "we study the properties of a non - abelian gauge theory subjected to a gauge invariant constraint gi"}
{"subject": "math:arxiv_87358", "predicate": "proves", "object": "we present a characteristic algorithm for computing the perturbation of a schwarzschild spacetime by"}
{"subject": "math:arxiv_87372", "predicate": "proves", "object": "in the faddeev formulation of gravity , the metric is regarded as composite field , bilinear of @xma"}
{"subject": "math:arxiv_87375", "predicate": "proves", "object": "this paper uses karcher s formulation @xcite of the oneill tensors @xcite to derive a concise formul"}
{"subject": "math:arxiv_87376", "predicate": "proves", "object": "in this paper we propose and discuss a mirror construction for complete intersections in partial fla"}
{"subject": "math:arxiv_87386", "predicate": "proves", "object": "in 6d general relativity with a phantom scalar field as a source of gravity , we present solutions t"}
{"subject": "math:arxiv_87389", "predicate": "proves", "object": "we prove the asymptotic formulas for the transition densities of isotropic unimodal convolution semi"}
{"subject": "math:arxiv_87392", "predicate": "proves", "object": "this paper shows how the classical finite probability theory ( with equiprobable outcomes ) can be r"}
{"subject": "math:arxiv_87395", "predicate": "proves", "object": "a critical look at the landau - lifshitz equation , which has been recently advocated as an exact  r"}
{"subject": "math:arxiv_87397", "predicate": "proves", "object": "a precise form of the time evolution of rolling tachyons corresponding to a brane - antibrane pair i"}
{"subject": "math:arxiv_87427", "predicate": "proves", "object": "we generalize aztec diamond theorem ( n. elkies , g. kuperberg , m. larsen , and j. propp _ alternat"}
{"subject": "math:arxiv_87438", "predicate": "proves", "object": "the eddington - inspired - born - infeld scenario ( eibi ) can prevent the big bang singularity for "}
{"subject": "math:arxiv_87439", "predicate": "proves", "object": "we apply the transfer algorithm introduced in @xcite to transfer an @xmath0-algebra structure that c"}
{"subject": "math:arxiv_87443", "predicate": "proves", "object": "the energy  momentum tensor and the tensor continuity equation serve as the conservation laws of ene"}
{"subject": "math:arxiv_87446", "predicate": "proves", "object": "many of the strengthenings and extensions of the topological tverberg theorem can be derived with su"}
{"subject": "math:arxiv_87449", "predicate": "proves", "object": "we calculate the dimensions of the hochschild cohomology groups of a self - injective special biseri"}
{"subject": "math:arxiv_87463", "predicate": "proves", "object": "we describe an algorithm which directly determines the quintessence potential from observational dat"}
{"subject": "math:arxiv_87471", "predicate": "proves", "object": "in the context of chern  simons ( cs ) theory , a _ subspace separation method _ for the lagrangian "}
{"subject": "math:arxiv_87473", "predicate": "proves", "object": "we present the correspondence between non - interacting multi - hadron fermion star equation of stat"}
{"subject": "math:arxiv_87481", "predicate": "proves", "object": "we generalise starobinsky s model of inflation to space - times with @xmath0 dimensions , where @xma"}
{"subject": "math:arxiv_87484", "predicate": "proves", "object": "beyond the no - cloning theorem , the universal symmetric quantum cloning machine was first addresse"}
{"subject": "math:arxiv_87503", "predicate": "proves", "object": "we study the equation of state for dark energy and explicitly demonstrate that the future crossings "}
{"subject": "math:arxiv_87510", "predicate": "proves", "object": "we show in this article how the usual hamiltonian formalism of general relativity should be modified"}
{"subject": "math:arxiv_87512", "predicate": "proves", "object": "the becchi - rouet - stora - tyutin ( brst ) treatment for the quantization of collective coordinate"}
{"subject": "math:arxiv_87513", "predicate": "proves", "object": "we study directed polymers subject to a quenched random potential in @xmath0 transversal dimensions "}
{"subject": "math:arxiv_87519", "predicate": "proves", "object": "we relate the information exchange between two stochastic systems to the nonequilibrium entropy prod"}
{"subject": "math:arxiv_87520", "predicate": "proves", "object": "the mass formulae for the supernarrow dibaryons and the exotic baryons with small masses are constru"}
{"subject": "math:arxiv_87524", "predicate": "proves", "object": "the crucial condition in the derivation of the jarzynski equality ( je ) from the fluctuation theore"}
{"subject": "math:arxiv_87537", "predicate": "proves", "object": "the formulae for calculating jet fragmentation momentum , @xmath0 , and parton transverse momentum ,"}
{"subject": "math:arxiv_87560", "predicate": "proves", "object": "we study a model of vector dark matter with the complex scalar higgs portal . \n renormalisation grou"}
{"subject": "math:arxiv_87571", "predicate": "proves", "object": "we study the gross - pitaevskii equation with a delta function potential , @xmath0 , where @xmath1 i"}
{"subject": "math:arxiv_87583", "predicate": "proves", "object": "by the riesz representation theorem using the riemann - stieltjes integral , linear continuous funct"}
{"subject": "math:arxiv_87591", "predicate": "proves", "object": "this paper solves a bayes sequential impulse control problem for a diffusion , whose drift has an un"}
{"subject": "math:arxiv_87616", "predicate": "proves", "object": "in this note we propose a min - max theory for embedded hypersurfaces with a fixed boundary and appl"}
{"subject": "math:arxiv_87623", "predicate": "proves", "object": "we solve the master equations of two charged qubits measured by two serially coupled quantum point c"}
{"subject": "math:arxiv_87626", "predicate": "proves", "object": "we explore the impact of reionization topology on 21-cm statistics . \n four reionization models are "}
{"subject": "math:arxiv_87629", "predicate": "proves", "object": "in this work we present a calculation of the hamiltonian variables solving the molecular dynamics eq"}
{"subject": "math:arxiv_87638", "predicate": "proves", "object": "a detailed study of complex - space singularities of the two - dimensional incompressible euler equa"}
{"subject": "math:arxiv_87644", "predicate": "proves", "object": "the heisenberg s error - disturbance relation is a cornerstone of quantum physics . \n it was recentl"}
{"subject": "math:arxiv_87655", "predicate": "proves", "object": "we study the algebraic structure of the semigroup of all @xmath0 tropical matrices under multiplicat"}
{"subject": "math:arxiv_87663", "predicate": "proves", "object": "for certain manifolds with an involution the mod 2 cohomology ring of the set of fixed points is iso"}
{"subject": "math:arxiv_87683", "predicate": "proves", "object": "we establish a higher dimensional counterpart of bourgain s pointwise ergodic theorem along an arbit"}
{"subject": "math:arxiv_87715", "predicate": "proves", "object": "mrs . \n gerber s lemma ( mgl ) hinges on the convexity of @xmath0 , where @xmath1 is the binary entr"}
{"subject": "math:arxiv_87717", "predicate": "proves", "object": "a generalization of the stochastic wave function method is presented which allows the unravelling of"}
{"subject": "math:arxiv_87719", "predicate": "proves", "object": "the rational cherednik algebra @xmath0 is a certain algebra of differential - reflection operators a"}
{"subject": "math:arxiv_87723", "predicate": "proves", "object": "schtzenberger s theorem for the ordinary rsk correspondence naturally extends to chen et . \n al s co"}
{"subject": "math:arxiv_87728", "predicate": "proves", "object": "weierstrass s theory is a standard qualitative tool for single degree of freedom equations , used in"}
{"subject": "math:arxiv_87729", "predicate": "proves", "object": "arithmetic root systems are invariants of nichols algebras of diagonal type with a certain finitenes"}
{"subject": "math:arxiv_87734", "predicate": "proves", "object": "on the base of a feynman - kac  type formula involving poisson stochastic processes , recently a mon"}
{"subject": "math:arxiv_87749", "predicate": "proves", "object": "a simple and yet powerful approach for modeling the structure of endohedrally confined diatomic mole"}
{"subject": "math:arxiv_87753", "predicate": "proves", "object": "we present a case study of how topology can affect synchronization . specifically \n , we consider ar"}
{"subject": "math:arxiv_87764", "predicate": "proves", "object": "a conjecture of thomassen from 1982 states that for every @xmath0 there is an @xmath1 so that every "}
{"subject": "math:arxiv_87765", "predicate": "proves", "object": "let @xmath0 be the yangian of the general linear lie algebra @xmath1 . \n let @xmath2 and @xmath3 be "}
{"subject": "math:arxiv_87768", "predicate": "proves", "object": "we construct a quantum theory of free scalar field in @xmath0 dimensions based on the deformed heise"}
{"subject": "math:arxiv_87792", "predicate": "proves", "object": "cosmological tensor perturbations equations are derived for hamiltonian cosmology based on ashtekar "}
{"subject": "math:arxiv_87806", "predicate": "proves", "object": "in this paper we confirm a conjecture of fredi , jiang , and seiver , and determine an exact formula"}
{"subject": "math:arxiv_87814", "predicate": "proves", "object": "we develop approximation methods in the hybrid quantization of the gowdy model with linear polarizat"}
{"subject": "math:arxiv_87815", "predicate": "proves", "object": "group field theories are a new type of field theories over group manifolds and a generalization of m"}
{"subject": "math:arxiv_87816", "predicate": "proves", "object": "using the way of deriving infinitive sum representation of density operator as a solution to the mas"}
{"subject": "math:arxiv_87818", "predicate": "proves", "object": "i previously showed that kendall s work on shape geometry is in fact also the geometrical descriptio"}
{"subject": "math:arxiv_87821", "predicate": "proves", "object": "kinetic instabilities in weakly collisional , high beta plasmas are investigated using two - dimensi"}
{"subject": "math:arxiv_87845", "predicate": "proves", "object": "we investigate the effects of given pressure gradients on hydrodynamic flow equations . \n we obtain "}
{"subject": "math:arxiv_87879", "predicate": "proves", "object": "we give a summary of known results on matveev s complexity of compact @xmath0-manifolds . \n the only"}
{"subject": "math:arxiv_87883", "predicate": "proves", "object": "we investigate local fractional nonlinear riccati differential equations ( lfnrde ) by transforming "}
{"subject": "math:arxiv_87894", "predicate": "proves", "object": "we study the asymptotic behavior of multiple meixner polynomials of first and second kind , respecti"}
{"subject": "math:arxiv_87895", "predicate": "proves", "object": "the evaluation of the path - integral representation for stochastic processes in the weak - noise li"}
{"subject": "math:arxiv_87898", "predicate": "proves", "object": "exact faddeev - type three - body equations are applied to the study of the proton transfer reaction"}
{"subject": "math:arxiv_87899", "predicate": "proves", "object": "the hckel molecular - orbital method ( with overlap @xmath0 ) is used to derive the @xmath0-modified"}
{"subject": "math:arxiv_87935", "predicate": "proves", "object": "we perform a linear stability analysis of extended domains in phase - separating fluids of equal vis"}
{"subject": "math:arxiv_87937", "predicate": "proves", "object": "the field theory of self - avoiding tethered membranes still poses major challenges . in this articl"}
{"subject": "math:arxiv_87939", "predicate": "proves", "object": "we present examples of lax - integrable multi - dimensional systems of partial differential equation"}
{"subject": "math:arxiv_87941", "predicate": "proves", "object": "given a point @xmath0 ( the light position ) in @xmath1 and an algebraic surface @xmath2 ( the mirro"}
{"subject": "math:arxiv_87975", "predicate": "proves", "object": "we present a field - theoretical method to obtain consistently the equations of motion for small amp"}
{"subject": "math:arxiv_87996", "predicate": "proves", "object": "this paper describes a new numerical method for solving eigenstate problems , such as time - indepen"}
{"subject": "math:arxiv_87998", "predicate": "proves", "object": "in this paper we revisit the issue of determining the oscillating primordial scalar power spectrum a"}
{"subject": "math:arxiv_88001", "predicate": "proves", "object": "we present a theoretical investigation of thermal fluctuation statistics in a molecular motor . \n en"}
{"subject": "math:arxiv_88009", "predicate": "proves", "object": "razborov and rudich have shown that so - called _ natural proofs _ are not useful for separating @xm"}
{"subject": "math:arxiv_88016", "predicate": "proves", "object": "this letter is based on the @xmath0-dirac equation , derived from the @xmath0-poincar - hopf algebra"}
{"subject": "math:arxiv_88019", "predicate": "proves", "object": "we propose the existence theorem for bounded solutions to the system of 2-nd order ode . \n dynamical"}
{"subject": "math:arxiv_88028", "predicate": "proves", "object": "in a previous work @xcite , we have modelled the rotation curves ( rc ) of spiral galaxies by includ"}
{"subject": "math:arxiv_88033", "predicate": "proves", "object": "a numerical algorithm for solving mantle convection problems with strongly variable viscosity is pre"}
{"subject": "math:arxiv_88035", "predicate": "proves", "object": "the landau - lifshitz equation for the magnetization dynamics of a single - domain magnetic system i"}
{"subject": "math:arxiv_88061", "predicate": "proves", "object": "borsuk @xcite asked in 1933 if every set of diameter 1 in @xmath0 can be covered by @xmath1 sets of "}
{"subject": "math:arxiv_88110", "predicate": "proves", "object": "recently introduced time - dependent renormalized - natural - orbital theory ( tdrnot ) is based on "}
{"subject": "math:arxiv_88117", "predicate": "proves", "object": "in this paper we provide an up - to - date survey on the study of lipschitz equivalence of self - si"}
{"subject": "math:arxiv_88137", "predicate": "proves", "object": "fix a free , orientation - preserving action of a finite group @xmath0 on a @xmath1-dimensional hand"}
{"subject": "math:arxiv_88154", "predicate": "proves", "object": "we study the evolution of cooperation in the collective - risk social dilemma game , where the risk "}
{"subject": "math:arxiv_88177", "predicate": "proves", "object": "this work covers methodology of solving qcd evolution equation of the parton distribution using mark"}
{"subject": "math:arxiv_88187", "predicate": "proves", "object": "relying on the quantization rule of raab and friedrich [ phys . \n rev . \n a ( 2009 ) in press ] , we"}
{"subject": "math:arxiv_88189", "predicate": "proves", "object": "we determine topological and algebraic conditions for a germ of holomorphic foliation @xmath0 induce"}
{"subject": "math:arxiv_88196", "predicate": "proves", "object": "repeated convolution of a probability measure on @xmath0 leads to the central limit theorem and othe"}
{"subject": "math:arxiv_88219", "predicate": "proves", "object": "we study some convergence issues for a recent approach to the problem of transparent boundary condit"}
{"subject": "math:arxiv_88235", "predicate": "proves", "object": "to investigate the mechanism of mixing in oscillatory doubly diffusive ( odd ) convection , we trunc"}
{"subject": "math:arxiv_88253", "predicate": "proves", "object": "in this introductory review article , we explore the special relativistic equations of particle moti"}
{"subject": "math:arxiv_88256", "predicate": "proves", "object": "we study the instability of the superconducting state in a mesoscopic geometry for the low pinning m"}
{"subject": "math:arxiv_88272", "predicate": "proves", "object": "a systematic numerical approach to approximate high dimensional lindblad equations is described . \n "}
{"subject": "math:arxiv_88283", "predicate": "proves", "object": "we study the whitham equations for the fifth order kdv equation . \n the equations are neither strict"}
{"subject": "math:arxiv_88286", "predicate": "proves", "object": "if all but two vertices of a triangulated sphere have degrees divisible by @xmath0 , then the except"}
{"subject": "math:arxiv_88329", "predicate": "proves", "object": "we define a centrally symmetric analogue of the cyclic polytope and study its facial structure . \n w"}
{"subject": "math:arxiv_88340", "predicate": "proves", "object": "rate equations are used to model spectroscopic observation of incoherent energy transfer in light - "}
{"subject": "math:arxiv_88346", "predicate": "proves", "object": "let @xmath0 be a fibered 3-manifold with multiple boundary components . we show that the fiber struc"}
{"subject": "math:arxiv_88349", "predicate": "proves", "object": "* abstract : * we prove that given a three manifold with an arbitrary metric @xmath0 of positive ric"}
{"subject": "math:arxiv_88351", "predicate": "proves", "object": "in this work we explore the effect of pion cloud contributions to the mass of the nucleon and the @x"}
{"subject": "math:arxiv_88362", "predicate": "proves", "object": "we report on a new computer study into the existence of @xmath0 equiangular lines in @xmath1 complex"}
{"subject": "math:arxiv_88369", "predicate": "proves", "object": "the mechanism of the coulomb breakup reactions of the nuclei with neutron - halo structure is invest"}
{"subject": "math:arxiv_88388", "predicate": "proves", "object": "in our recent works we derived a chiral @xmath0 two - pion exchange nucleon - nucleon potential ( tp"}
{"subject": "math:arxiv_88391", "predicate": "proves", "object": "we present an illustration of using a quantum three - body code being prepared for public release . "}
{"subject": "math:arxiv_88403", "predicate": "proves", "object": "we numerically study imbalanced two component fermi gases with attractive interactions in highly elo"}
{"subject": "math:arxiv_88447", "predicate": "proves", "object": "klein defined geometry in terms of invariance under groups actions ; here we give a discrete ( parti"}
{"subject": "math:arxiv_88448", "predicate": "proves", "object": "we prove the vanishing of the geometric bloch  kato selmer group for the adjoint representation of a"}
{"subject": "math:arxiv_88452", "predicate": "proves", "object": "weyl semimetals are one kind of three - dimensional gapless semimetal with nontrivial topology in th"}
{"subject": "math:arxiv_88460", "predicate": "proves", "object": "steinberg conjectured in 1976 that every planar graph with no cycles of length four or five is 3-col"}
{"subject": "math:arxiv_88477", "predicate": "proves", "object": "in this paper a new approach for constructing _ multivariate _ gaussian random fields ( grfs ) using"}
{"subject": "math:arxiv_88491", "predicate": "proves", "object": "consider a system @xmath0 of @xmath1 polynomial equations in @xmath1 unknowns , over an algebraicall"}
{"subject": "math:arxiv_88512", "predicate": "proves", "object": "we explore the geometrical structure of liquid - gas ( lg ) mixed phase which is relevant to nuclear"}
{"subject": "math:arxiv_88513", "predicate": "proves", "object": "the @xmath0-convolution algebra of a semilattice is known to have trivial cohomology in degrees 1,2 "}
{"subject": "math:arxiv_88518", "predicate": "proves", "object": "the schrdinger equation for @xmath0 particles interacting through effective pair potentials is deriv"}
{"subject": "math:arxiv_88521", "predicate": "proves", "object": "we propose an efficient and flexible method for solving abel integral equation of the first kind , f"}
{"subject": "math:arxiv_88536", "predicate": "proves", "object": "let @xmath0 be a complex , simple lie algebra with cartan subalgebra @xmath1 and weyl group @xmath2 "}
{"subject": "math:arxiv_88559", "predicate": "proves", "object": "we present a convergence analysis of a finite difference scheme for the time dependent partial diffe"}
{"subject": "math:arxiv_88560", "predicate": "proves", "object": "we evaluate the impact factor of the transition @xmath0 taking into account the twist @xmath1 contri"}
{"subject": "math:arxiv_88584", "predicate": "proves", "object": "we discuss how the reconstruction theorem of @xcite applies to local mirror symmetry @xcite . \n this"}
{"subject": "math:arxiv_88586", "predicate": "proves", "object": "it is well known that the ultra - relativistic thomas - fermi equation , amply adopted in the study "}
{"subject": "math:arxiv_88617", "predicate": "proves", "object": "we use static solutions of @xmath0-dimensional kaluza - klein gravity to generate several classes of"}
{"subject": "math:arxiv_88634", "predicate": "proves", "object": "the polytropic equation of state ( eos ) of primordial gas clouds with modest enrichment is computed"}
{"subject": "math:arxiv_88637", "predicate": "proves", "object": "we study the ground state phase diagram of ultracold dipolar gases in highly anisotropic traps . sta"}
{"subject": "math:arxiv_88638", "predicate": "proves", "object": "we investigate a formulation of continuum 4d gravity in terms of a constrained bf theory , in the sp"}
{"subject": "math:arxiv_88657", "predicate": "proves", "object": "in this short paper we derive a formula for the spatial persistence probability of the airy@xmath0 a"}
{"subject": "math:arxiv_88662", "predicate": "proves", "object": "it is well - known that the application of newtonian dynamics to an expanding spherical region leads"}
{"subject": "math:arxiv_88670", "predicate": "proves", "object": "the formula for the lens is derived based on the information of instantaneous focal function . \n foc"}
{"subject": "math:arxiv_88681", "predicate": "proves", "object": "we compute quantum cohomology rings of elliptic @xmath0 orbifolds via orbi - curve counting . \n the "}
{"subject": "math:arxiv_88682", "predicate": "proves", "object": "we consider solutions to the linear wave equation @xmath0 on a non - extremal maximally extended sch"}
{"subject": "math:arxiv_88688", "predicate": "proves", "object": "the evaluation of a relativistic spin network for the classical case of the lie group is given by an"}
{"subject": "math:arxiv_88696", "predicate": "proves", "object": "surveys of faint galaxies at high redshifts often result in a `` pencil - beam '' geometry that is m"}
{"subject": "math:arxiv_88697", "predicate": "proves", "object": "using families of curves to generalize vector fields , the lie bracket is defined on a metric space "}
{"subject": "math:arxiv_88704", "predicate": "proves", "object": "motivated by a recent paper of gabai @xcite on the whitehead contractible 3-manifold , we investigat"}
{"subject": "math:arxiv_88716", "predicate": "proves", "object": "we obtain an explicit formula for the number of lam equations ( modulo scalar equivalence ) with ind"}
{"subject": "math:arxiv_88776", "predicate": "proves", "object": "the number state method is used to study soliton bands for three anharmonic quantum lattices : i ) t"}
{"subject": "math:arxiv_88778", "predicate": "proves", "object": "the spectral problem of the dirac equation in an external quadratic vector potential is considered u"}
{"subject": "math:arxiv_88797", "predicate": "proves", "object": "in this paper , we define a relative morse complex for manifold with boundary using the handlebody d"}
{"subject": "math:arxiv_88800", "predicate": "proves", "object": "we study the action of the mapping class group of an oriented genus @xmath0 surface with @xmath1 pun"}
{"subject": "math:arxiv_88825", "predicate": "proves", "object": "in the background of unparticle - enhanced black hole geometry , we provide the quasinormal modes of"}
{"subject": "math:arxiv_88839", "predicate": "proves", "object": "for a minimal affinization over a quantum loop algebra of type @xmath0 , we provide a character form"}
{"subject": "math:arxiv_88847", "predicate": "proves", "object": "fractional generalizations of the poisson process and branching furry process are considered . \n the"}
{"subject": "math:arxiv_88849", "predicate": "proves", "object": "in this paper , we consider a wave equation on a bounded interval where the initial conditions are k"}
{"subject": "math:arxiv_88859", "predicate": "proves", "object": "we propose a novel numerical method for solving multi - dimensional , special relativistic boltzmann"}
{"subject": "math:arxiv_88876", "predicate": "proves", "object": "this is the first of a series of papers in which we develop a `` discretization approach '' for the "}
{"subject": "math:arxiv_88890", "predicate": "proves", "object": "a numerical study of a pseudoscalar inflation having an axion - photon - like coupling is performed "}
{"subject": "math:arxiv_88891", "predicate": "proves", "object": "we show that the tensor product of two cyclic @xmath0-algebras is , in general , not a cyclic @xmath"}
{"subject": "math:arxiv_88893", "predicate": "proves", "object": "we consider the ricatti equation in the context of population dynamics , quantum scattering and a mo"}
{"subject": "math:arxiv_88926", "predicate": "proves", "object": "we model the solar horizontal velocity power spectrum at scales larger than granulation using a two "}
{"subject": "math:arxiv_88927", "predicate": "proves", "object": "this paper presents estimates of the convergence rate and complexity of an algebraic multilevel prec"}
{"subject": "math:arxiv_88953", "predicate": "proves", "object": "we give a closed formula for volumes of generic hyperbolic tetrahedra in terms of edge lengths . \n t"}
{"subject": "math:arxiv_88966", "predicate": "proves", "object": "we study a nonlinear wave for a system of balance laws in one space dimension , which describes comb"}
{"subject": "math:arxiv_88972", "predicate": "proves", "object": "we prove a theorem concerning the noether symmetries for the area minimizing lagrangian under the co"}
{"subject": "math:arxiv_88978", "predicate": "proves", "object": "in @xcite it was shown that the tool introduced there and called the transplant operator transforms "}
{"subject": "math:arxiv_89008", "predicate": "proves", "object": "this paper is a companion technical report to the article `` continuation - passing c : from threads"}
{"subject": "math:arxiv_89023", "predicate": "proves", "object": "to a planar algebra @xmath0 in the sense of jones we associate a natural non - commutative ring , wh"}
{"subject": "math:arxiv_89061", "predicate": "proves", "object": "we present a determinantal formula for the steady state probability of each state of the tasep ( tot"}
{"subject": "math:arxiv_89085", "predicate": "proves", "object": "in this paper , we present new results for the synchronization and consensus of networks described b"}
{"subject": "math:arxiv_89086", "predicate": "proves", "object": "the diagram technique for the one - band hubbard model is formulated for the case of moderate to str"}
{"subject": "math:arxiv_89093", "predicate": "proves", "object": "a skew brane is an immersed codimension 2 submanifold in affine space , free from pairs of parallel "}
{"subject": "math:arxiv_89100", "predicate": "proves", "object": "plasmon and polariton modes are derived for an ideal semi - infinite ( half - space ) plasma and an "}
{"subject": "math:arxiv_89103", "predicate": "proves", "object": "recently a cubic galileon cosmological model was derived by the assumption that the field equations "}
{"subject": "math:arxiv_89105", "predicate": "proves", "object": "i review recent progress in finite temperature lattice calculations , including the determination of"}
{"subject": "math:arxiv_89117", "predicate": "proves", "object": "hydrodynamic equations for a binary mixture of inelastic maxwell models described by the boltzmann e"}
{"subject": "math:arxiv_89127", "predicate": "proves", "object": "we experimentally test quantum contextuality of a single qutrit using nmr . \n the contextuality ineq"}
{"subject": "math:arxiv_89141", "predicate": "proves", "object": "the abelian and non - abelian vortices on orbifolds are investigated based on the moduli matrix appr"}
{"subject": "math:arxiv_89146", "predicate": "proves", "object": "by solving analytically the various types of lane - emden equations with rotation , we have discover"}
{"subject": "math:arxiv_89150", "predicate": "proves", "object": "we estimate the dust temperatures of the clumps in the @xmath0 oph main cloud taking into account th"}
{"subject": "math:arxiv_89167", "predicate": "proves", "object": "in this study , we solve analytically the schrdinger equation for a macroscopic quantum oscillator a"}
{"subject": "math:arxiv_89179", "predicate": "proves", "object": "in this paper we study the question of fragility and robustness of leafwise intersections of coisotr"}
{"subject": "math:arxiv_89190", "predicate": "proves", "object": "in this paper , we study the main cosmological properties of the classical friedmann equations in th"}
{"subject": "math:arxiv_89193", "predicate": "proves", "object": "floquet theory is used to describe the unstable spectrum at large scales of the @xmath0-plane equati"}
{"subject": "math:arxiv_89196", "predicate": "proves", "object": "we present our recent results on the scattering length of @xmath0he@xmath0he@xmath1 collisions . \n t"}
{"subject": "math:arxiv_89209", "predicate": "proves", "object": "we outline a method for controlling the location of stable and unstable manifolds in the following s"}
{"subject": "math:arxiv_89235", "predicate": "proves", "object": "we present an explicit exact solution of einstein s equations for an inhomogeneous dust universe wit"}
{"subject": "math:arxiv_89243", "predicate": "proves", "object": "the thermal free energy and pressure of dispersion interaction between two graphene sheets described"}
{"subject": "math:arxiv_89315", "predicate": "proves", "object": "cluster automorphisms have been shown to have links to the mapping class groups of surfaces , maxima"}
{"subject": "math:arxiv_89322", "predicate": "proves", "object": "the equation of state of cold baryonic matter is studied within a relativistic mean - field model wi"}
{"subject": "math:arxiv_89336", "predicate": "proves", "object": "acoustomagnetoelectric effect ( ame ) in graphene nanoribbon ( gnr ) in the presence of an external "}
{"subject": "math:arxiv_89339", "predicate": "proves", "object": "the so - called `` _ hyperonization puzzle _ '' in the theory of neutron stars is considered in the "}
{"subject": "math:arxiv_89369", "predicate": "proves", "object": "we study the dynamics of soliton solutions to the perturbed mkdv equation @xmath0 , where @xmath1 , "}
{"subject": "math:arxiv_89374", "predicate": "proves", "object": "we implemented the pressure - implicit with splitting of operators ( piso ) and semi - implicit meth"}
{"subject": "math:arxiv_89380", "predicate": "proves", "object": "the raman intensity can be well described by the famous albrecht equation that consists of @xmath0 a"}
{"subject": "math:arxiv_89381", "predicate": "proves", "object": "this paper deals with the numerical computation of boundary null controls for the 1d wave equation w"}
{"subject": "math:arxiv_89392", "predicate": "proves", "object": "based on a linearized landau - lifshitz equation , we show that two - dimensional periodic allay of "}
{"subject": "math:arxiv_89394", "predicate": "proves", "object": "the purpose of this article is twofold . \n first we outline a general construction scheme for produc"}
{"subject": "math:arxiv_89402", "predicate": "proves", "object": "i shall argue that the commonly held @xmath0 via maximize position , which rejects the axiom of cons"}
{"subject": "math:arxiv_89414", "predicate": "proves", "object": "the electromagnetic behavior of plasmonic structures can be predicted after discretizing and solving"}
{"subject": "math:arxiv_89420", "predicate": "proves", "object": "the recently introduced method of excess collisions ( mec ) is modified to estimate diffusion - cont"}
{"subject": "math:arxiv_89423", "predicate": "proves", "object": "in this paper , a semi - lagrangian gas - kinetic scheme is developed for smooth flows based on the "}
{"subject": "math:arxiv_89424", "predicate": "proves", "object": "we apply a hard - core version of the faddeev differential equations to the @xmath0he@xmath1he@xmath"}
{"subject": "math:arxiv_89425", "predicate": "proves", "object": "we have investigated the thermal equation of state of bcc tantalum from first principles using the f"}
{"subject": "math:arxiv_89427", "predicate": "proves", "object": "the mahler volume of a centrally symmetric convex body @xmath0 is defined as @xmath1 . \n mahler conj"}
{"subject": "math:arxiv_89433", "predicate": "proves", "object": "we establish the existence of semi - wavefronts solutions for a non - local delayed reaction - diffu"}
{"subject": "math:arxiv_89445", "predicate": "proves", "object": "in this paper we use the second order equation @xmath0 as a demonstrative example to illustrate how "}
{"subject": "math:arxiv_89454", "predicate": "proves", "object": "this note gives a first sufficient condition that insures a non - negative , locally bounded , local"}
{"subject": "math:arxiv_89472", "predicate": "proves", "object": "the moving - mirror problem is microscopically formulated without invoking the external boundary con"}
{"subject": "math:arxiv_89486", "predicate": "proves", "object": "we compute the graviton one loop contribution to a classical energy in a _ traversable _ wormhole ba"}
{"subject": "math:arxiv_89487", "predicate": "proves", "object": "we investigate the spin relaxation limited by the dyakonov - perel mechanism in @xmath0-type ( 111 )"}
{"subject": "math:arxiv_89504", "predicate": "proves", "object": "we give generators and relations for the planar algebras corresponding to @xmath0 subfactors . \n we "}
{"subject": "math:arxiv_89537", "predicate": "proves", "object": "this paper presents a survey of some new applications of algebraic riccati equations . \n in particul"}
{"subject": "math:arxiv_89550", "predicate": "proves", "object": "we consider the four - dimensional nonholonomic distribution defined by the 4-potential of the elect"}
{"subject": "math:arxiv_89564", "predicate": "proves", "object": "in this work , the out - of - equilibrium dynamics of the kardar - parisi - zhang equation in ( 1 + "}
{"subject": "math:arxiv_89579", "predicate": "proves", "object": "in two papers titled _ on the so - called non - euclidean geometry , i _ and _ ii _ ( @xcite and @xc"}
{"subject": "math:arxiv_89586", "predicate": "proves", "object": "we describe natural abelian extensions of the lie algebra @xmath0 of infinitesimal automorphisms of "}
{"subject": "math:arxiv_89600", "predicate": "proves", "object": "modeling a single crystal of cuprate high-@xmath0 superconductor , such as @xmath1 , as a stack of i"}
{"subject": "math:arxiv_89607", "predicate": "proves", "object": "we analyze asymptotically a differential - difference equation , that arises in a markov - modulated"}
{"subject": "math:arxiv_89611", "predicate": "proves", "object": "the doubly - connected polygonal geometry of planar graphene rings is found to bring forth topologic"}
{"subject": "math:arxiv_89614", "predicate": "proves", "object": "in this brief communication a new method is outlined for modelling magnification patterns on an obse"}
{"subject": "math:arxiv_89615", "predicate": "proves", "object": "the phasego package extracts the helmholtz free energy from the phonon density of states obtained by"}
{"subject": "math:arxiv_89632", "predicate": "proves", "object": "we study the low t / w instability associated with the f - mode of differentially rotating stars . \n"}
{"subject": "math:arxiv_89635", "predicate": "proves", "object": "it is known that the alexander polynomial detects fibered knots and 3-manifolds that fiber over the "}
{"subject": "math:arxiv_89642", "predicate": "proves", "object": "we study the einstein - klein - gordon equations for a convex positive potential in a bianchi i , a "}
{"subject": "math:arxiv_89660", "predicate": "proves", "object": "in this paper , we solved numerically the quantum spectral curve ( qsc ) equations corresponding to "}
{"subject": "math:arxiv_89671", "predicate": "proves", "object": "we derive a master equation for the electron transport through molecular wires in the limit of stron"}
{"subject": "math:arxiv_89675", "predicate": "proves", "object": "we use the blm procedure to eliminate the renormalization scale ambiguity in the evolution equation "}
{"subject": "math:arxiv_89691", "predicate": "proves", "object": "the general covariance of the dirac equation is exploited in order to explore the curvature effects "}
{"subject": "math:arxiv_89700", "predicate": "proves", "object": "let @xmath0 be a closed manifold with @xmath1 , and let @xmath2 be a circle - valued morse function "}
{"subject": "math:arxiv_89726", "predicate": "proves", "object": "a nonequilibrium master equation analysis for @xmath0 interacting bosons , with bogoliubov quasipart"}
{"subject": "math:arxiv_89735", "predicate": "proves", "object": "in this paper , we develop a new approach to the discriminant of a complete intersection curve in th"}
{"subject": "math:arxiv_89784", "predicate": "proves", "object": "a one - armed spiral instability has been found to develop in differentially rotating stellar models"}
{"subject": "math:arxiv_89789", "predicate": "proves", "object": "we give a gauge - independent definition of magnetic monopoles in the @xmath0 yang - mills theory th"}
{"subject": "math:arxiv_89794", "predicate": "proves", "object": "we study how tensor products of representations decompose when restricted from a compact lie algebra"}
{"subject": "math:arxiv_89808", "predicate": "proves", "object": "diffusion of transported particles in the intracellular medium is described by means of a generalize"}
{"subject": "math:arxiv_89859", "predicate": "proves", "object": "central issues of the dirac constraint formalism are discussed in relation to the algorithmic method"}
{"subject": "math:arxiv_89863", "predicate": "proves", "object": "the precession and damping of a collinear magnetization displaced from its equilibrium are well desc"}
{"subject": "math:arxiv_89870", "predicate": "proves", "object": "we present some integral transform that allows to obtain solutions of the generalized tricomi equati"}
{"subject": "math:arxiv_89882", "predicate": "proves", "object": "we are concerned with the convergence of a numerical scheme for the initial - boundary value problem"}
{"subject": "math:arxiv_89886", "predicate": "proves", "object": "the aim of this paper is to formulate a discrete analog of the claim made by alvarez - gaume et al ."}
{"subject": "math:arxiv_89889", "predicate": "proves", "object": "in this paper we compute the emptiness formation probability of a ( twisted- ) periodic xxz spin cha"}
{"subject": "math:arxiv_89890", "predicate": "proves", "object": "in brodbeck et al 1999  @xcite it has been shown that the linearised time evolution equations of gen"}
{"subject": "math:arxiv_89909", "predicate": "proves", "object": "a simple proof of the unconditional security of a relativistic quantum cryptosystem based on orthogo"}
{"subject": "math:arxiv_89914", "predicate": "proves", "object": "the limits of applicability of the lang - kobayashi ( lk ) model for a semiconductor laser with opti"}
{"subject": "math:arxiv_89921", "predicate": "proves", "object": "the casimir and van der waals interaction between two dissimilar thick dielectric plates is reconsid"}
{"subject": "math:arxiv_89922", "predicate": "proves", "object": "a proof is reconstructed for a useful theorem on the zeros of derivatives of analytic functions due "}
{"subject": "math:arxiv_89934", "predicate": "proves", "object": "we study the decay of superflow via thermally activated phase slips in one - dimensional bose gases "}
{"subject": "math:arxiv_89936", "predicate": "proves", "object": "the effective field theory of the fractional quantum hall edge is reformulated from microscopic dyna"}
{"subject": "math:arxiv_89958", "predicate": "proves", "object": "kopeliovich s suggestion  @xcite to perform nuclear geometry ( glauber ) calculations using differen"}
{"subject": "math:arxiv_89983", "predicate": "proves", "object": "the study particle azimuthal anisotropy in heavy - ion collisions provides insight on the collective"}
{"subject": "math:arxiv_89986", "predicate": "proves", "object": "a class of simplicial complexes , which we call buchsbaum * over a field , is introduced . \n buchsba"}
{"subject": "math:arxiv_89987", "predicate": "proves", "object": "we compute the free energy of helium4 near the lambda transition based on an exact renormalization  "}
{"subject": "math:arxiv_90005", "predicate": "proves", "object": "weak c * hopf algebras can act as global symmetries in low - dimensional quantum field theories , wh"}
{"subject": "math:arxiv_90030", "predicate": "proves", "object": "we define a notion of model for the @xmath0-calculus modulo theory , a notion of super - consistent "}
{"subject": "math:arxiv_90033", "predicate": "proves", "object": "the douglas - rachford splitting algorithm was originally proposed in 1956 to solve a system of line"}
{"subject": "math:arxiv_90036", "predicate": "proves", "object": "we study generic constrained differential equations ( cdes ) with three parameters , thereby extendi"}
{"subject": "math:arxiv_90053", "predicate": "proves", "object": "using the test - particle method , we solve numerically the boltzmann equation for an ultra - cold g"}
{"subject": "math:arxiv_90059", "predicate": "proves", "object": "the general solution of the gravitational field equations in the flat friedmann - robertson - walker"}
{"subject": "math:arxiv_90069", "predicate": "proves", "object": "analytic solutions @xmath0 of the nonlinear boltzmann equation in @xmath1-dimensions are studied for"}
{"subject": "math:arxiv_90070", "predicate": "proves", "object": "we give an explicit description of the trace , or hochschild homology , of the quantum heisenberg ca"}
{"subject": "math:arxiv_90096", "predicate": "proves", "object": "we introduce the confluent version of the quantum - mechanical supersymmetry ( susy ) formalism for "}
{"subject": "math:arxiv_90102", "predicate": "proves", "object": "we study the banach algebras of bounded holomorphic functions on the unit disk whose boundary values"}
{"subject": "math:arxiv_90113", "predicate": "proves", "object": "we study the singularities ( blow - ups ) of the toda lattice associated with a real split semisimpl"}
{"subject": "math:arxiv_90131", "predicate": "proves", "object": "algorithms are presented for the tanh- and sech - methods , which lead to closed - form solutions of"}
{"subject": "math:arxiv_90136", "predicate": "proves", "object": "the present paper considers two infinite families of cone - manifolds endowed with spherical metric "}
{"subject": "math:arxiv_90140", "predicate": "proves", "object": "we present a numerical scheme for determining hyperboloidal initial data sets for the conformal fiel"}
{"subject": "math:arxiv_90145", "predicate": "proves", "object": "we present a kinetic theory of two - dimensional decaying turbulence in the context of two - body an"}
{"subject": "math:arxiv_90146", "predicate": "proves", "object": "an exact time - dependent solution of field equations for the 3-d gauge field model with a chern - s"}
{"subject": "math:arxiv_90177", "predicate": "proves", "object": "in this talk , i present the recent theoretical results on the electrical conductivity ( ec ) @xmath"}
{"subject": "math:arxiv_90190", "predicate": "proves", "object": "using methods from algebraic graph theory and convex optimization , we study the relationship betwee"}
{"subject": "math:arxiv_90194", "predicate": "proves", "object": "an algebraic multilevel iteration method for solving system of linear algebraic equations arising in"}
{"subject": "math:arxiv_90196", "predicate": "proves", "object": "this paper is devoted to advancing the theoretical understanding of the iterated immediate snapshot "}
{"subject": "math:arxiv_90198", "predicate": "proves", "object": "we present a comprehensive numerical study of a microscopic model of the fractional quantum hall sys"}
{"subject": "math:arxiv_90200", "predicate": "proves", "object": "in this paper and a companion paper , we show how the framework of information geometry , a geometry"}
{"subject": "math:arxiv_90201", "predicate": "proves", "object": "starting from the linearized fluctuating boussinesq equations we derive an expression for the struct"}
{"subject": "math:arxiv_90217", "predicate": "proves", "object": "we describe the algebraic bethe ansatz for the spin  @xmath0 xxx and xxz heisenberg chains with open"}
{"subject": "math:arxiv_90245", "predicate": "proves", "object": "in 1965 erds conjectured that the number of edges in @xmath0-uniform hypergraphs on @xmath1 vertices"}
{"subject": "math:arxiv_90247", "predicate": "proves", "object": "nonequilibrium dynamics of an @xmath0-fold spin - degenerate ultracold fermi gas is described in ter"}
{"subject": "math:arxiv_90255", "predicate": "proves", "object": "if conformal weyl scaling symmetry is postulated to be a general property of all elementary fields ,"}
{"subject": "math:arxiv_90269", "predicate": "proves", "object": "the local induction equation , or the binormal flow on space curves is a well - known model of defor"}
{"subject": "math:arxiv_90282", "predicate": "proves", "object": "the formula describing the explicit red - shift dependence for the distance covered by a signal in t"}
{"subject": "math:arxiv_90303", "predicate": "proves", "object": "we study universal polynomials of characteristic classes associated to the @xmath0-classification of"}
{"subject": "math:arxiv_90304", "predicate": "proves", "object": "we give formulae for the first homology of the @xmath0-braid group and the pure 2-braid group over a"}
{"subject": "math:arxiv_90314", "predicate": "proves", "object": "we have studied the different symmetric properties of the generalized maxwell s - dirac equation alo"}
{"subject": "math:arxiv_90329", "predicate": "proves", "object": "we reprove saito s vanishing theorem for mixed hodge modules by the method of esnault and viehweg . "}
{"subject": "math:arxiv_90352", "predicate": "proves", "object": "let @xmath0 be an integer . \n we prove a rough structure theorem for separations of order at most @x"}
{"subject": "math:arxiv_90356", "predicate": "proves", "object": "an expression , suitable for practical calculations , for the green function @xmath0 of the schrding"}
{"subject": "math:arxiv_90362", "predicate": "proves", "object": "we present a finite element discretization of a non - linear diffusion equation used in the field of"}
{"subject": "math:arxiv_90363", "predicate": "proves", "object": "we develop a scheme for the computation of the full - counting statistics of transport described by "}
{"subject": "math:arxiv_90376", "predicate": "proves", "object": "einstein s spherically symmetric interior gravitational equations are investigated . following synge"}
{"subject": "math:arxiv_90383", "predicate": "proves", "object": "the ags equations are solved for @xmath0 and @xmath1 scattering including the coulomb interaction . "}
{"subject": "math:arxiv_90399", "predicate": "proves", "object": "we analyze the mean - field yrast spectrum of a two - component bose gas in the ring geometry with a"}
{"subject": "math:arxiv_90406", "predicate": "proves", "object": "we show that the ricci flow becomes extinct in finite time on any riemannian @xmath0manifold without"}
{"subject": "math:arxiv_90415", "predicate": "proves", "object": "suppose that @xmath0 is a configuration of 2-dimensional symplectic submanifolds in a symplectic 4-m"}
{"subject": "math:arxiv_90416", "predicate": "proves", "object": "we prove a formula for the multidegrees of a rational map defined by generalized monomials on a proj"}
{"subject": "math:arxiv_90483", "predicate": "proves", "object": "we present a rigorous ewald summation formula to evaluate the electrostatic interactions in two - di"}
{"subject": "math:arxiv_90489", "predicate": "proves", "object": "this article investigates the performance of an ultra - dense network ( udn ) from an energy - effic"}
{"subject": "math:arxiv_90491", "predicate": "proves", "object": "here we survey several results and conjectures on the cohomology of the total space of the hitchin s"}
{"subject": "math:arxiv_90500", "predicate": "proves", "object": "we formulate the solution counting problem within the framework of inverse ising problem and use fas"}
{"subject": "math:arxiv_90505", "predicate": "proves", "object": "we discuss possible applications of the equations of motion in the generalized wilson loop space to "}
{"subject": "math:arxiv_90507", "predicate": "proves", "object": "a lattice model of critical dense polymers @xmath0 is considered for the finite cylinder geometry . "}
{"subject": "math:arxiv_90516", "predicate": "proves", "object": "helicity is a quadratic invariant of the euler equation in three dimensions . as the energy , \n when"}
{"subject": "math:arxiv_90521", "predicate": "proves", "object": "the mott scattering of high  energetic twisted electrons by atoms is investigated within the framewo"}
{"subject": "math:arxiv_90523", "predicate": "proves", "object": "we prove convergence of a fully discrete finite difference scheme for the korteweg  de vries equatio"}
{"subject": "math:arxiv_90534", "predicate": "proves", "object": "we obtain a structurally stable family of smooth ordinary differential equations exhibiting heterocl"}
{"subject": "math:arxiv_90562", "predicate": "proves", "object": "this paper is focused on the structure of the kauffman bracket skein algebra of a punctured surface "}
{"subject": "math:arxiv_90580", "predicate": "proves", "object": "a number of landmark existence theorems of nonlinear functional analysis follow in a simple and dire"}
{"subject": "math:arxiv_90583", "predicate": "proves", "object": "we use an effective quark model to describe both hadronic matter and deconfined quark matter . by ca"}
{"subject": "math:arxiv_90590", "predicate": "proves", "object": "using the renormalon calculus , we study the asymptotic behavior of the perturbative expansion of th"}
{"subject": "math:arxiv_90603", "predicate": "proves", "object": "we investigate linear maps between matrix algebras that remain positive under tensor powers , i.e. ,"}
{"subject": "math:arxiv_90613", "predicate": "proves", "object": "we present a simple , closed formula which gives all the primes in order . \n it is a simple product "}
{"subject": "math:arxiv_90614", "predicate": "proves", "object": "when dealing with macroscopic objects one usually observes quasiclassical phenomena , which can be d"}
{"subject": "math:arxiv_90617", "predicate": "proves", "object": "we present a categorification of four mutation finite cluster algebras by the cluster category of th"}
{"subject": "math:arxiv_90634", "predicate": "proves", "object": "we consider semitransparent pistons in the presence of extra dimensions . it is shown that the pisto"}
{"subject": "math:arxiv_90637", "predicate": "proves", "object": "the key questions of uniqueness and existence in time - dependent density - functional theory are us"}
{"subject": "math:arxiv_90638", "predicate": "proves", "object": "given a quantized enveloping algebra @xmath0 and a pair of dominant weights ( @xmath1 , @xmath2 ) , "}
{"subject": "math:arxiv_90653", "predicate": "proves", "object": "we study symplectic properties of monodromy map of second order linear equation with meromorphic pot"}
{"subject": "math:arxiv_90657", "predicate": "proves", "object": "the rogue waves in a resonant erbium - doped fibre system governed by a coupled system of the nonlin"}
{"subject": "math:arxiv_90658", "predicate": "proves", "object": "we study the friedmann - robertson - walker model with dynamical dark energy modelled in terms of th"}
{"subject": "math:arxiv_90660", "predicate": "proves", "object": "a formula is derived that allows us to compute one - loop mass shifts for kinks and self - dual abri"}
{"subject": "math:arxiv_90682", "predicate": "proves", "object": "we discuss the gauge natural formulation of supersymmetric theories and supergravity , with the aim "}
{"subject": "math:arxiv_90692", "predicate": "proves", "object": "the theory of the magnetic catalysis of chiral symmetry breaking in qed is developed . \n an approxim"}
{"subject": "math:arxiv_90695", "predicate": "proves", "object": "we study the generation of terahertz radiation from atoms and molecules driven by an ultrashort fund"}
{"subject": "math:arxiv_90701", "predicate": "proves", "object": "the cosmic spacetime is often described in terms of the friedmann - robertson - walker ( frw ) metri"}
{"subject": "math:arxiv_90709", "predicate": "proves", "object": "in this paper , we consider the 1d wave equation where the spatial domain is a bounded interval . as"}
{"subject": "math:arxiv_90711", "predicate": "proves", "object": "the solvation of hydrophobic solutes in water is special because liquid and gas are almost at coexis"}
{"subject": "math:arxiv_90737", "predicate": "proves", "object": "we study the perturbed burgers  korteweg  de vries equation . this equation can be used for the desc"}
{"subject": "math:arxiv_90756", "predicate": "proves", "object": "the recently introduced auxiliary hamiltonian approach [ balzer k and eckstein m 2014 _ phys . \n rev"}
{"subject": "math:arxiv_90781", "predicate": "proves", "object": "in this paper we show that there exists a family of simply connected , symplectic @xmath0-manifolds "}
{"subject": "math:arxiv_90783", "predicate": "proves", "object": "this paper focuses on the study of open curves in a manifold @xmath0 , and proposes a reparameteriza"}
{"subject": "math:arxiv_90802", "predicate": "proves", "object": "we study classical heat conduction in a dissipative open system composed of interacting oscillators "}
{"subject": "math:arxiv_90819", "predicate": "proves", "object": "in this paper central limit theorems are derived for multivariate two - sample tests based on stabil"}
{"subject": "math:arxiv_90820", "predicate": "proves", "object": "identification of fractional order systems is considered from an algebraic point of view . \n it allo"}
{"subject": "math:arxiv_90826", "predicate": "proves", "object": "the fermion particle pair production in strong su(2 ) gauged chromoelectric fields is studied by usi"}
{"subject": "math:arxiv_90828", "predicate": "proves", "object": "we have studied the dynamical properties of finite @xmath0-unit fitzhugh - nagumo ( fn ) ensembles s"}
{"subject": "math:arxiv_90855", "predicate": "proves", "object": "the metric around straight arbitrarily - oriented cosmic strings forming a stationary junction is ob"}
{"subject": "math:arxiv_90884", "predicate": "proves", "object": "the most important properties of a bose - einstein condensate subject to balanced gain and loss can "}
{"subject": "math:arxiv_90907", "predicate": "proves", "object": "we propose a langevin model with coulomb friction . through the analysis of the corresponding fokker"}
{"subject": "math:arxiv_90913", "predicate": "proves", "object": "let @xmath0 be the symmetric cone of @xmath1 positive definite hermitian matrices over a real divisi"}
{"subject": "math:arxiv_90922", "predicate": "proves", "object": "we investigate the light and heavy meson spectra in the context of the instantaneous approximation t"}
{"subject": "math:arxiv_90928", "predicate": "proves", "object": "in recent years , numerical solutions of the equations of compressible magnetohydrodynamic flows hav"}
{"subject": "math:arxiv_90932", "predicate": "proves", "object": "we prove a de finetti theorem for exchangeable sequences of states on _ test spaces _ \n , where a te"}
{"subject": "math:arxiv_90954", "predicate": "proves", "object": "inspired by kubo - anderson markov processes , we introduce a new class of transfer matrices whose l"}
{"subject": "math:arxiv_90973", "predicate": "proves", "object": "discussions on a form of a frequency spectrum of wind - driven sea waves just above the spectral max"}
{"subject": "math:arxiv_90987", "predicate": "proves", "object": "a modified version of the wave - ice interaction model proposed by @xcite is presented for an ideali"}
{"subject": "math:arxiv_90993", "predicate": "proves", "object": "the pseudospectral versions of the discrete borg - type theorems are obtained in this article using "}
{"subject": "math:arxiv_90995", "predicate": "proves", "object": "the stationary isotropic poisson line network was used to derive upper bounds on mean excess network"}
{"subject": "math:arxiv_90996", "predicate": "proves", "object": "spin foam models ( sfm ) are an attempt at a covariant or path integral formulation of canonical loo"}
{"subject": "math:arxiv_91012", "predicate": "proves", "object": "in this paper , we investigate the hermite spectral method ( hsm ) to numerically solve the forward "}
{"subject": "math:arxiv_91015", "predicate": "proves", "object": "the shapiro conjecture in the real schubert calculus fails to hold for flag manifolds , but in a ver"}
{"subject": "math:arxiv_91019", "predicate": "proves", "object": "we consider jacobi matrices whose essential spectrum is a finite union of closed intervals . \n we fo"}
{"subject": "math:arxiv_91025", "predicate": "proves", "object": "a new `` bond - algebraic '' approach to duality transformations provides a very powerful technique "}
{"subject": "math:arxiv_91058", "predicate": "proves", "object": "we introduce a formulation of eulerian general relativistic hydrodynamics which is applicable for ( "}
{"subject": "math:arxiv_91059", "predicate": "proves", "object": "the universal power law for the spectrum of one - dimensional breaking riemann waves is justified fo"}
{"subject": "math:arxiv_91079", "predicate": "proves", "object": "random networks with complex topology are common in nature , describing systems as diverse as the wo"}
{"subject": "math:arxiv_91086", "predicate": "proves", "object": "the group of conservative transformations is an enlargement of the group of diffeomorphisms which le"}
{"subject": "math:arxiv_91100", "predicate": "proves", "object": "the question of interest in the present study is : `` given a body subject to mechanical loads , how"}
{"subject": "math:arxiv_91141", "predicate": "proves", "object": "an asymmetric stochastic process describing the avalanche dynamics on a ring is proposed . a general"}
{"subject": "math:arxiv_91161", "predicate": "proves", "object": "a detailed analysis of the finite  size effects on the bulk critical behaviour of the @xmath0dimensi"}
{"subject": "math:arxiv_91162", "predicate": "proves", "object": "we present a dark energy model with a double exponential potential for a minimally coupled scalar fi"}
{"subject": "math:arxiv_91164", "predicate": "proves", "object": "to integer programming problems , computational algebraic approaches using grbner bases or standard "}
{"subject": "math:arxiv_91169", "predicate": "proves", "object": "starting from a detailed model for the kinetics of a step edge or island boundary , we derive a gibb"}
{"subject": "math:arxiv_91172", "predicate": "proves", "object": "we first review the nonrelativistic lagrangian theory as a framework for the mond equation . \n obstr"}
{"subject": "math:arxiv_91181", "predicate": "proves", "object": "explicit birational geometry of 3-folds represents a second phase of mori theory , going beyond the "}
{"subject": "math:arxiv_91200", "predicate": "proves", "object": "say a digraph is @xmath0-free if it has no directed cycles of length at most @xmath0 , for @xmath1 ."}
{"subject": "math:arxiv_91202", "predicate": "proves", "object": "this review presents experimental results on the inter - edge - state transport in the quantum hall "}
{"subject": "math:arxiv_91203", "predicate": "proves", "object": "competition among cooperators , defectors , and loners is studied in an evolutionary prisoner s dile"}
{"subject": "math:arxiv_91214", "predicate": "proves", "object": "we study the dc josephson effect and the density of states in a multiterminal structure of cross - t"}
{"subject": "math:arxiv_91223", "predicate": "proves", "object": "dynamics of clumps within a magnetized advection dominated accretion flow is investigated by solving"}
{"subject": "math:arxiv_91250", "predicate": "proves", "object": "it is suggested that the mechanism responsible for the resolution of the gauge hierarchy problem wit"}
{"subject": "math:arxiv_91258", "predicate": "proves", "object": "it is well - known that the perturbations of schwarzschild black holes are governed by a wave equati"}
{"subject": "math:arxiv_91263", "predicate": "proves", "object": "we study a connection between duality and topological field theories . \n first , 2d kramers  wannier"}
{"subject": "math:arxiv_91270", "predicate": "proves", "object": "the reductions of the heun equation to the hypergeometric equation by polynomial transformations of "}
{"subject": "math:arxiv_91275", "predicate": "proves", "object": "building on a quasi - chemical formulation of solution theory , this paper proposes a self consisten"}
{"subject": "math:arxiv_91296", "predicate": "proves", "object": "in this article , we give a proof of the link between the zeta function of two families of hypergeom"}
{"subject": "math:arxiv_91299", "predicate": "proves", "object": "we investigate the interaction of magnetohydrodynamic waves with plasma density inhomogeneities . \n "}
{"subject": "math:arxiv_91301", "predicate": "proves", "object": "many open problems and important theorems in low - dimensional topology have been formulated as stat"}
{"subject": "math:arxiv_91304", "predicate": "proves", "object": "the celebrated _ hook - length formula _ gives a product formula for the number of standard young ta"}
{"subject": "math:arxiv_91305", "predicate": "proves", "object": "we present a basic introduction to the dynamics of open quantum systems based on local - in - time m"}
{"subject": "math:arxiv_91306", "predicate": "proves", "object": "in this paper we give a simpler proof of the @xmath0-schwartz space isomorphism @xmath1 under the fo"}
{"subject": "math:arxiv_91340", "predicate": "proves", "object": "stochastic growth phenomena on curved interfaces are studied by means of stochastic partial differen"}
{"subject": "math:arxiv_91343", "predicate": "proves", "object": "the rainbow truncation of the quark dyson \n schwinger equation is combined with the ladder bethe \n s"}
{"subject": "math:arxiv_91352", "predicate": "proves", "object": "the formalism of ursell operators provides a self - consistent integral equation for the one - parti"}
{"subject": "math:arxiv_91355", "predicate": "proves", "object": "a recent claim by meyer , kent and clifton ( mkc ) , that their models `` nullify '' the kochen - sp"}
{"subject": "math:arxiv_91356", "predicate": "proves", "object": "we integrate the one - dimensional nonlinear schrdinger equation numerically for solitons moving in "}
{"subject": "math:arxiv_91365", "predicate": "proves", "object": "we consider a continuous time version of cramer s theorem with nonnegative summands @xmath0 where @x"}
{"subject": "math:arxiv_91379", "predicate": "proves", "object": "for the eight - dimensional riemannian manifold comprised by the three - level quantum systems endow"}
{"subject": "math:arxiv_91381", "predicate": "proves", "object": "the mapping of the wigner distribution function ( wdf ) for a given bound - state onto a semiclassic"}
{"subject": "math:arxiv_91384", "predicate": "proves", "object": "a simple scheme for joint direction of arrival ( doa ) and array manifold estimation for a mimo arra"}
{"subject": "math:arxiv_91389", "predicate": "proves", "object": "we generate an explicit four - fold infinity of physically acceptable exact perfect fluid solutions "}
{"subject": "math:arxiv_91402", "predicate": "proves", "object": "by appealing to renewal theory we determine the equations that the mean exit time of a continuous - "}
{"subject": "math:arxiv_91403", "predicate": "proves", "object": "it is shown that rota s basis conjecture follows from a similar conjecture that involves just three "}
{"subject": "math:arxiv_91406", "predicate": "proves", "object": "generalized fourier integral operators ( fios ) acting on colombeau algebras are defined . \n this is"}
{"subject": "math:arxiv_91422", "predicate": "proves", "object": "we study how an irreducible closed algebraic curve @xmath0 embedded in @xmath1 , which degree is @xm"}
{"subject": "math:arxiv_91437", "predicate": "proves", "object": "radial flow observed at ags / sps energies is very strong , with collective velocities of matter rea"}
{"subject": "math:arxiv_91473", "predicate": "proves", "object": "gravitational coupling of the propagation four - vectors of matter wave functions is formulated in f"}
{"subject": "math:arxiv_91480", "predicate": "proves", "object": "* exact * solutions of the string equations of motion and constraints are * systematically * constru"}
{"subject": "math:arxiv_91498", "predicate": "proves", "object": "in this expository note we discuss some arithmetic aspects of the mirror symmetry for plane cubic cu"}
{"subject": "math:arxiv_91502", "predicate": "proves", "object": "algebraic subspace clustering ( asc ) is a simple and elegant method based on polynomial fitting and"}
{"subject": "math:arxiv_91505", "predicate": "proves", "object": "it is known that the defining relations of the orthosymplectic lie superalgebra @xmath0 are equivale"}
{"subject": "math:arxiv_91508", "predicate": "proves", "object": "the problem of the hamiltonian matrix in the oscillator and orthogonalized laguerre basis constructi"}
{"subject": "math:arxiv_91518", "predicate": "proves", "object": "we present the results of mapping the hgmn star ar aur using the doppler imaging technique for sever"}
{"subject": "math:arxiv_91519", "predicate": "proves", "object": "various types of stabilizing controls lead to a deterministic difference equation with the following"}
{"subject": "math:arxiv_91527", "predicate": "proves", "object": "we consider the kick ( tilt)-induced mobility of two - dimensional ( 2d ) fundamental dissipative so"}
{"subject": "math:arxiv_91532", "predicate": "proves", "object": "a simple procedure to approximate the noncommutation terms that arise whenever it is necessary to us"}
{"subject": "math:arxiv_91534", "predicate": "proves", "object": "we present an algorithm for the explicit numerical calculation of n and n clebsch - gordan coefficie"}
{"subject": "math:arxiv_91535", "predicate": "proves", "object": "it is well known that the incompressible euler equations in two dimensions have globally regular sol"}
{"subject": "math:arxiv_91536", "predicate": "proves", "object": "a relation between circular 1/2 bps t hooft operators in 4d @xmath0 sym and instantonic solutions in"}
{"subject": "math:arxiv_91538", "predicate": "proves", "object": "combining renormalization group theoretical ideas with the integral equation approach to fluid struc"}
{"subject": "math:arxiv_91550", "predicate": "proves", "object": "we prove that the 3-d compressible euler equations with surface tension along the moving free - boun"}
{"subject": "math:arxiv_91568", "predicate": "proves", "object": "in the last decade , minimal kinetic models , and primarily the lattice boltmann equation , have met"}
{"subject": "math:arxiv_91572", "predicate": "proves", "object": "an operator algebra implementation of markov chain monte carlo algorithms for simulating markov rand"}
{"subject": "math:arxiv_91589", "predicate": "proves", "object": "the equations of motion of active systems can be modeled in terms of ornstein - uhlenbeck processes "}
{"subject": "math:arxiv_91594", "predicate": "proves", "object": "using lie group theory and canonical transformations , we construct explicit solutions of nonlinear "}
{"subject": "math:arxiv_91636", "predicate": "proves", "object": "gaussian elimination ( ge ) is the archetypal direct algorithm for solving linear systems of equatio"}
{"subject": "math:arxiv_91639", "predicate": "proves", "object": "we formulate a general family of entanglement criteria for multipartite systems . \n fisher informati"}
{"subject": "math:arxiv_91640", "predicate": "proves", "object": "the stability of a thermocapillary flow in an extended cylindrical geometry is analyzed . \n this flo"}
{"subject": "math:arxiv_91668", "predicate": "proves", "object": "the density dependence of the symmetry energy in the equation of state of isospin asymmetric nuclear"}
{"subject": "math:arxiv_91674", "predicate": "proves", "object": "we present directional operator splitting schemes for the numerical solution of a fourth - order , n"}
{"subject": "math:arxiv_91689", "predicate": "proves", "object": "the system of maxwell equations with an initial condition in a vacuum is solved in a cylindrical coo"}
{"subject": "math:arxiv_91690", "predicate": "proves", "object": "in this paper , we study the phase structure and equilibrium state space geometry of charged topolog"}
{"subject": "math:arxiv_91698", "predicate": "proves", "object": "we propose a new formulation of the statistical multifragmentation model based on the analysis of th"}
{"subject": "math:arxiv_91710", "predicate": "proves", "object": "we consider representations of algebraic tori @xmath0 over finite fields . we make use of normal ell"}
{"subject": "math:arxiv_91720", "predicate": "proves", "object": "we prove global - in - time strichartz estimates without loss of derivatives for the solution of the"}
{"subject": "math:arxiv_91732", "predicate": "proves", "object": "we show that the  cold \" hubble flow observed for galaxies around the milky way does not represent a"}
{"subject": "math:arxiv_91762", "predicate": "proves", "object": "we review the construction of the universal hamilton - jacobi counterterm for dilaton gravity in two"}
{"subject": "math:arxiv_91763", "predicate": "proves", "object": "we introduce a model which integrates the complex ginzburg - landau ( cgl ) equation in two dimensio"}
{"subject": "math:arxiv_91764", "predicate": "proves", "object": "we study the unstable spectrum close to the imaginary axis for the linearization of the nonlinear kl"}
{"subject": "math:arxiv_91766", "predicate": "proves", "object": "through the example of the quantum symplectic @xmath0-sphere , we discuss how the notion of twisted "}
{"subject": "math:arxiv_91770", "predicate": "proves", "object": "in this paper we consider the additive logarithmic finite strain plasticity formulation from the vie"}
{"subject": "math:arxiv_91773", "predicate": "proves", "object": "fullerenes and nanotubes consist of a large number of carbon atoms sitting on the sites of a regular"}
{"subject": "math:arxiv_91776", "predicate": "proves", "object": "the mathematical problem of the static storage optimisation is formulated and solved by means of a v"}
{"subject": "math:arxiv_91792", "predicate": "proves", "object": "recently we have conjectured that ( in-)elastic collisions of ( pre-)hadronic high momentum states w"}
{"subject": "math:arxiv_91813", "predicate": "proves", "object": "we define relative versions of the classical invariants of legendrian and transverse knots in contac"}
{"subject": "math:arxiv_91866", "predicate": "proves", "object": "we show that a constriction - type josephson junction realized by an epitactic thin film of a @xmath"}
{"subject": "math:arxiv_91870", "predicate": "proves", "object": "taking up a method devised by taylor and wheeler and collecting pieces of their work we offer a self"}
{"subject": "math:arxiv_91884", "predicate": "proves", "object": "we study how to extract information on the neutron star equation of state from the gravitational wav"}
{"subject": "math:arxiv_91921", "predicate": "proves", "object": "the solution to the euler - lagrange equation is an extremal functional . to understand that the fun"}
{"subject": "math:arxiv_91938", "predicate": "proves", "object": "we formulate a general , steady - state model for the torque on a magnetized star from a surrounding"}
{"subject": "math:arxiv_91949", "predicate": "proves", "object": "we shall give dynamics to our spacetime manifold by first identifying the local affine symmetry as t"}
{"subject": "math:arxiv_91957", "predicate": "proves", "object": "faddeev - yakubovski equations are solved numerically for @xmath0he tetramer and trimer states using"}
{"subject": "math:arxiv_91965", "predicate": "proves", "object": "the partial differential equation of gaussian diffusion is generalized by using the time - fractiona"}
{"subject": "math:arxiv_91969", "predicate": "proves", "object": "the dynamical casimir effect for a massless scalar field in 1 + 1-dimensions is studied numerically "}
{"subject": "math:arxiv_91984", "predicate": "proves", "object": "we study unimodular measures on the space @xmath0 of all pointed riemannian @xmath1-manifolds . \n ex"}
{"subject": "math:arxiv_91995", "predicate": "proves", "object": "we solve a fractional diffusion equation using a piecewise - constant , discontinuous galerkin metho"}
{"subject": "math:arxiv_92000", "predicate": "proves", "object": "buoyancy - driven convection is modelled using the navier - stokes and entropy equations . \n it is f"}
{"subject": "math:arxiv_92018", "predicate": "proves", "object": "we study the spectral functions of fermionic operators in @xmath0 dimensional @xmath1 super yang - m"}
{"subject": "math:arxiv_92040", "predicate": "proves", "object": "we present details and expand on the framework leading to the recently introduced degenerate adiabat"}
{"subject": "math:arxiv_92058", "predicate": "proves", "object": "the angular part of the faddeev equations is solved analytically for s - states for two - body squar"}
{"subject": "math:arxiv_92061", "predicate": "proves", "object": "interaction graphs were introduced as a general , uniform , construction of dynamic models of linear"}
{"subject": "math:arxiv_92062", "predicate": "proves", "object": "phylogenetic algebraic geometry is concerned with certain complex projective algebraic varieties der"}
{"subject": "math:arxiv_92067", "predicate": "proves", "object": "an algorithm is used to generate new solutions of the scalar field equations in homogeneous and isot"}
{"subject": "math:arxiv_92068", "predicate": "proves", "object": "we consider the cubic nonlinear schrdinger equation with harmonic trapping on@xmath0 ( @xmath1 ) . i"}
{"subject": "math:arxiv_92121", "predicate": "proves", "object": "chen , fitzsimmons , kuwae and zhang ( _ ann . \n probab . _ \n * 36 * ( 2008 ) 931970 ) have establis"}
{"subject": "math:arxiv_92134", "predicate": "proves", "object": "electrical networks , and physical systems in general , are known to satisfy a power balance equatio"}
{"subject": "math:arxiv_92150", "predicate": "proves", "object": "there is a well explored relationship between quantum mechanical scattering from a potential and the"}
{"subject": "math:arxiv_92151", "predicate": "proves", "object": "in this paper , we present a new hydrostatic equilibrium equation related to dilaton gravity . we co"}
{"subject": "math:arxiv_92152", "predicate": "proves", "object": "we study the cauchy initial - value problem for the benjamin - ono equation in the zero - disperion "}
{"subject": "math:arxiv_92221", "predicate": "proves", "object": "we consider the structure of the goldman lie algebra for the closed torus , and show that it is fini"}
{"subject": "math:arxiv_92225", "predicate": "proves", "object": "we study the symplectic topology of some finite algebraic quotients of the @xmath0 milnor fibre whic"}
{"subject": "math:arxiv_92226", "predicate": "proves", "object": "we outline the necessary background to understand the interaction of colloids in liquid crystals thr"}
{"subject": "math:arxiv_92230", "predicate": "proves", "object": "what is a vector field on a c*-algebra is defined . its relation to semigroups of * -endomorphisms \n"}
{"subject": "math:arxiv_92234", "predicate": "proves", "object": "the inclusive gluon production at midrapidities is described in the color glass condensate formalism"}
{"subject": "math:arxiv_92237", "predicate": "proves", "object": "we formulate deformation of relativistic stars due to the magnetic stress , considering the magnetic"}
{"subject": "math:arxiv_92239", "predicate": "proves", "object": "navier - stokes equations ; viscosity ; pipe hagen - poiseuille flow ; plane couette flow ; plane po"}
{"subject": "math:arxiv_92252", "predicate": "proves", "object": "we define the analytical and the topological indices for continuous families of operators in the c@x"}
{"subject": "math:arxiv_92253", "predicate": "proves", "object": "we employ a two - dimensional grid - based hydrodynamic model to simulate upper atmospheric dynamics"}
{"subject": "math:arxiv_92257", "predicate": "proves", "object": "topological properties of stein fillings of contact 3-manifolds diffeomorphic to the 3-torus @xmath0"}
{"subject": "math:arxiv_92259", "predicate": "proves", "object": "the equivalence between thermal field theory and the boltzmann transport equation is investigated at"}
{"subject": "math:arxiv_92276", "predicate": "proves", "object": "the stability properties and perturbation - induced dynamics of the full set of stationary states of"}
{"subject": "math:arxiv_92282", "predicate": "proves", "object": "we show that fluctuations of bulk operators that are restricted to some region of space scale as the"}
{"subject": "math:arxiv_92288", "predicate": "proves", "object": "we investigate in this paper the structures of neutron and quark stars in @xmath0 theory of gravity "}
{"subject": "math:arxiv_92292", "predicate": "proves", "object": "we propose a phenomenological description for the effect of a weak noise on the position of a front "}
{"subject": "math:arxiv_92340", "predicate": "proves", "object": "we study the driven - dissipative dynamics of a network of spin-1/2 systems coupled to one or more c"}
{"subject": "math:arxiv_92343", "predicate": "proves", "object": "exact semianalytic solutions for grb outflows were recently derived using the equations of special -"}
{"subject": "math:arxiv_92361", "predicate": "proves", "object": "a multipole analysis of vector meson photoproduction is formulated as a generalization of the pseudo"}
{"subject": "math:arxiv_92375", "predicate": "proves", "object": "this paper develops a game - theoretic framework for the design and analysis of a new class of incen"}
{"subject": "math:arxiv_92379", "predicate": "proves", "object": "the formal structure of geometrical thermodynamics is reviewed with particular emphasis on the geome"}
{"subject": "math:arxiv_92388", "predicate": "proves", "object": "in this paper intermodal modulational instability ( im - mi ) is analyzed in a multimode fiber where"}
{"subject": "math:arxiv_92398", "predicate": "proves", "object": "strange quark matter in beta equilibrium at high densities is studied in a quark confinement model ."}
{"subject": "math:arxiv_92401", "predicate": "proves", "object": "this note places into perspective the so - called algebraic time - derivative estimation method rece"}
{"subject": "math:arxiv_92405", "predicate": "proves", "object": "we summarize results from a study of spherically symmetric collapse of a _ charged _ ( complex ) mas"}
{"subject": "math:arxiv_92427", "predicate": "proves", "object": "by employing a real - space formulation of the kubo - greenwood equation based on a green s function"}
{"subject": "math:arxiv_92429", "predicate": "proves", "object": "we introduce and study algebraic structures underlying 2-dimensional homotopy quantum field theories"}
{"subject": "math:arxiv_92443", "predicate": "proves", "object": "in social dilemmas , cooperation among randomly interacting individuals is often difficult to achiev"}
{"subject": "math:arxiv_92448", "predicate": "proves", "object": "the field - theory model is proposed to study the electronic states near the fermi energy in spheroi"}
{"subject": "math:arxiv_92455", "predicate": "proves", "object": "given a sequence of resistance forms that converges with respect to the gromov - hausdorff - vague t"}
{"subject": "math:arxiv_92461", "predicate": "proves", "object": "we propose a linear finite - element discretization of dirichlet problems for static hamilton - jaco"}
{"subject": "math:arxiv_92470", "predicate": "proves", "object": "we analytically and numerically investigate the properties of @xmath0-wave holographic superconducto"}
{"subject": "math:arxiv_92472", "predicate": "proves", "object": "we present digital tables for the radiative terms that appear in the energy and momentum equations u"}
{"subject": "math:arxiv_92473", "predicate": "proves", "object": "in this article , we consider metrically thin singularities @xmath0 of the solutions of the tangenti"}
{"subject": "math:arxiv_92509", "predicate": "proves", "object": "we discuss the derivation of master equations in the presence of initial correlations with the reser"}
{"subject": "math:arxiv_92513", "predicate": "proves", "object": "imaging with a spherical mirror in empty space is compared with the case when the mirror is filled w"}
{"subject": "math:arxiv_92534", "predicate": "proves", "object": "biracks are algebraic structures related to knots and links . we define a new enhancement of the bir"}
{"subject": "math:arxiv_92544", "predicate": "proves", "object": "a new class of exact solutions of einstein s field equations with perfect fluid for an lrs bianchi t"}
{"subject": "math:arxiv_92545", "predicate": "proves", "object": "we present numerical evidence that solutions of the bethe ansatz equations for a bloch particle in a"}
{"subject": "math:arxiv_92550", "predicate": "proves", "object": "we consider the nonlinear schrdinger equation with a point - like source term . \n the soliton intera"}
{"subject": "math:arxiv_92552", "predicate": "proves", "object": "we study the possible singularities of isotropic cosmological models that have a varying speed of li"}
{"subject": "math:arxiv_92561", "predicate": "proves", "object": "in this paper we investigate the role of native geometry on the kinetics of protein folding based on"}
{"subject": "math:arxiv_92562", "predicate": "proves", "object": "in this letter we discuss theoretically the instabilities of thermotropic freely standing smectic - "}
{"subject": "math:arxiv_92564", "predicate": "proves", "object": "in an ultrahigh mobility 2d electron gas , even a weak nonparabolicity of the electron dispersion , "}
{"subject": "math:arxiv_92573", "predicate": "proves", "object": "let @xmath0 be a @xmath1-convex manifold with the exceptional set @xmath2 , which is also a manifold"}
{"subject": "math:arxiv_92576", "predicate": "proves", "object": "a brief summary of the formulation of qcd at finite chemical potental , @xmath0 , is presented . \n t"}
{"subject": "math:arxiv_92580", "predicate": "proves", "object": "a code that implements einstein equations in the characteristic formulation in @xmath0 has been deve"}
{"subject": "math:arxiv_92588", "predicate": "proves", "object": "the basic theorems of vector calculus are illuminated when we replace the original 3 stooges of vect"}
{"subject": "math:arxiv_92590", "predicate": "proves", "object": "this note has an experimental nature and contains no new theorems . \n we introduce certain moves for"}
{"subject": "math:arxiv_92593", "predicate": "proves", "object": "we review the status of the integrability and solvability of the geodesics equations of motion on sy"}
{"subject": "math:arxiv_92594", "predicate": "proves", "object": "biodiversity and extinction are central issues in evolution . dynamical balance among different spec"}
{"subject": "math:arxiv_92621", "predicate": "proves", "object": "we show how to determine if a given simple rectilinear polygon can be tiled with rectangles , each h"}
{"subject": "math:arxiv_92640", "predicate": "proves", "object": "in this paper we give an interpretation to the boundary points of the compactification of the parame"}
{"subject": "math:arxiv_92652", "predicate": "proves", "object": "we produce soliton and similarity solutions of supersymmetric extensions of burgers , korteweg - de "}
{"subject": "math:arxiv_92655", "predicate": "proves", "object": "we give a global picture of the ricci flow on the space of three - dimensional , unimodular , nonabe"}
{"subject": "math:arxiv_92660", "predicate": "proves", "object": "we derive an asymptotic formula which counts the number of abelian extensions of prime degrees over "}
{"subject": "math:arxiv_92663", "predicate": "proves", "object": "we consider the regularity of measurable solutions @xmath0 to the cohomological equation @xmath1 whe"}
{"subject": "math:arxiv_92666", "predicate": "proves", "object": "we apply the model of flux expulsion from the superfluid and superconductive core of a neutron star "}
{"subject": "math:arxiv_92672", "predicate": "proves", "object": "a question in geometric probability about the location of the balls in a game of bocce leads to rela"}
{"subject": "math:arxiv_92674", "predicate": "proves", "object": "we study a cosmological setup consisting of a frw metric as the background geometry with a massless "}
{"subject": "math:arxiv_92679", "predicate": "proves", "object": "the linear conductivity tensor for generic homogeneous , microscopic quantum models was formulated a"}
{"subject": "math:arxiv_92684", "predicate": "proves", "object": "this is a review of recent results on conformal ( super)algebras . \n it may be viewed as an amplific"}
{"subject": "math:arxiv_92690", "predicate": "proves", "object": "let @xmath0 , @xmath1 , @xmath2 , @xmath3 be simply connected split algebraic groups over an arbitra"}
{"subject": "math:arxiv_92695", "predicate": "proves", "object": "we derive the field equations of a chameleon theory of gravitation with a general matter lagrangian "}
{"subject": "math:arxiv_92700", "predicate": "proves", "object": "a distribution function approach is applied to describe the dynamics of the laser beam in the earth "}
{"subject": "math:arxiv_92701", "predicate": "proves", "object": "in the aim of shedding a new light on the classical black hole evaporation conjecture stating that a"}
{"subject": "math:arxiv_92733", "predicate": "proves", "object": "the mathematical foundation of the so - called extended coupled - cluster method for the solution of"}
{"subject": "math:arxiv_92752", "predicate": "proves", "object": "the aim of the present paper is to describe self - duality and @xmath0- reflexivity of hilbert * a*-"}
{"subject": "math:arxiv_92762", "predicate": "proves", "object": "in this paper we prove that the sheaf of @xmath0-poly - differential operators for a locally free li"}
{"subject": "math:arxiv_92766", "predicate": "proves", "object": "we prove strong instability ( instability by blowup ) of standing waves for some nonlinear schrdinge"}
{"subject": "math:arxiv_92774", "predicate": "proves", "object": "the technique of projecting the four - dimensional two - body bethe - salpeter equation onto the thr"}
{"subject": "math:arxiv_92779", "predicate": "proves", "object": "we develop the techniques of @xcite and @xcite in order to derive dispersive estimates for a matrix "}
{"subject": "math:arxiv_92789", "predicate": "proves", "object": "within the framework of mclaughlin - scott perturbation theory the equation - of - motion of the dis"}
{"subject": "math:arxiv_92793", "predicate": "proves", "object": "nmdc - palatini cosmology in slow - roll regime is of our interests . \n we present flat flrw cosmolo"}
{"subject": "math:arxiv_92801", "predicate": "proves", "object": "the possibility to observe vacuum electron - positron pair creation due to a powerful optical laser "}
{"subject": "math:arxiv_92806", "predicate": "proves", "object": "this notes explores angle structures on ideally triangulated compact @xmath0-manifolds with high gen"}
{"subject": "math:arxiv_92814", "predicate": "proves", "object": "consider a 3@xmath0dimensional manifold @xmath1 obtained by gluing a finite number of ideal hyperbol"}
{"subject": "math:arxiv_92820", "predicate": "proves", "object": "it is rigorously shown that the fluctuation formula , which is used in simulations to calculate the "}
{"subject": "math:arxiv_92822", "predicate": "proves", "object": "nonsymmetric koornwinder polynomials are multivariable extensions of nonsymmetric askey - wilson pol"}
{"subject": "math:arxiv_92844", "predicate": "proves", "object": "a new method of solution to the local spin density approximation to the electronic schrdinger equati"}
{"subject": "math:arxiv_92850", "predicate": "proves", "object": "we conjecture chronology is protected in string theory due to the condensation of light winding stri"}
{"subject": "math:arxiv_92872", "predicate": "proves", "object": "in this paper we consider galerkin - finite element methods that approximate the solutions of initia"}
{"subject": "math:arxiv_92882", "predicate": "proves", "object": "many bone shapes in the human skeleton are characterized by profiles that can be associated to equat"}
{"subject": "math:arxiv_92906", "predicate": "proves", "object": "for binary mixtures of fluids without chemical reactions , but with components having different temp"}
{"subject": "math:arxiv_92944", "predicate": "proves", "object": "for a compact space @xmath0 we consider extending endomorphisms of the algebra @xmath1 to be endomor"}
{"subject": "math:arxiv_92969", "predicate": "proves", "object": "we carry out three - dimensional magnetohydrodynamical simulations of the magnetorotational ( balbus"}
{"subject": "math:arxiv_92979", "predicate": "proves", "object": "the paper introduces a new way to construct dissipative solutions to a second order variational wave"}
{"subject": "math:arxiv_92997", "predicate": "proves", "object": "it was recently proposed by the second author to consider lattice formulations of qcd in which compl"}
{"subject": "math:arxiv_93010", "predicate": "proves", "object": "we prove that the algebra of chains on the based loop space recovers the derived ( wrapped ) fukaya "}
{"subject": "math:arxiv_93019", "predicate": "proves", "object": "an overview of microlocality in braided ribbon networks is presented . following this , \n a series o"}
{"subject": "math:arxiv_93028", "predicate": "proves", "object": "the width of a lagrangian is the largest capacity of a ball that can be symplectically embedded into"}
{"subject": "math:arxiv_93037", "predicate": "proves", "object": "the aim of this work is to establish the existence of invariant manifolds in _ \n complex systems_. c"}
{"subject": "math:arxiv_93040", "predicate": "proves", "object": "we investigate the weyl space - time extension of general relativity ( gr ) for studying the flrw co"}
{"subject": "math:arxiv_93052", "predicate": "proves", "object": "our main theorem is that the pullback of an associated noncommutative vector bundle induced by an eq"}
{"subject": "math:arxiv_93053", "predicate": "proves", "object": "in the kerr geometry , we calculate various surfaces of constant curvature invariants . these extend"}
{"subject": "math:arxiv_93065", "predicate": "proves", "object": "we show that for a hamiltonian action of a compact torus @xmath0 on a compact , connected symplectic"}
{"subject": "math:arxiv_93071", "predicate": "proves", "object": "we extend the geometrical theory presented in @xcite for collisional and frictional particle abrasio"}
{"subject": "math:arxiv_93073", "predicate": "proves", "object": "on the basis of a renormalization group analysis of the kernel and of the solutions of the bfkl equa"}
{"subject": "math:arxiv_93081", "predicate": "proves", "object": "we formulate a theoretical framework to describe multiparticle current transport in planar supercond"}
{"subject": "math:arxiv_93083", "predicate": "proves", "object": "we present a new exactly solvable quantum problem for which the schrdinger equation allows for separ"}
{"subject": "math:arxiv_93090", "predicate": "proves", "object": "this work is devoted to the formulation and derivation of the @xmath0/gamma distribution which corre"}
{"subject": "math:arxiv_93093", "predicate": "proves", "object": "starting from a dirac equation for massless neutrino in a 5d ricci - flat background metric , we obt"}
{"subject": "math:arxiv_93132", "predicate": "proves", "object": "first order invariants of generic immersions of manifolds of dimension @xmath0 into manifolds of dim"}
{"subject": "math:arxiv_93154", "predicate": "proves", "object": "the inverse problem of estimating dielectric constants of explosives using boundary measurements of "}
{"subject": "math:arxiv_93166", "predicate": "proves", "object": "the aim of the present article is to give an overview of spectral theory on metric graphs guided by "}
{"subject": "math:arxiv_93169", "predicate": "proves", "object": "let @xmath0 be the dynkin diagram of a symmetrizable kac - moody algebra , and @xmath1 a subgraph wi"}
{"subject": "math:arxiv_93174", "predicate": "proves", "object": "in this paper the first exact interior solution to einstein s field equations for a static and non -"}
{"subject": "math:arxiv_93187", "predicate": "proves", "object": "we consider fractional generalizations of the ordinary differential equation that governs the creep "}
{"subject": "math:arxiv_93188", "predicate": "proves", "object": "in this paper we study a class of contour dynamics equations depending on a parameter @xmath0 for wh"}
{"subject": "math:arxiv_93202", "predicate": "proves", "object": "in this paper , we classify stein fillings of an infinite family of contact 3-manifolds up to diffeo"}
{"subject": "math:arxiv_93232", "predicate": "proves", "object": "in this work , high order splitting methods have been used for calculating the numerical solutions o"}
{"subject": "math:arxiv_93244", "predicate": "proves", "object": "oscillating tails of dispersion - managed optical fiber system are studied for strong dispersion map"}
{"subject": "math:arxiv_93270", "predicate": "proves", "object": "we describe the @xmath0-vectors and @xmath1-vectors of the markov cluster algebra in terms of a spec"}
{"subject": "math:arxiv_93273", "predicate": "proves", "object": "we establish a connection between the quark model and the @xmath0 expansion mass formulas used in th"}
{"subject": "math:arxiv_93275", "predicate": "proves", "object": "the algorithm for lovsz local lemma by moser and tardos gives a constructive way to prove the existe"}
{"subject": "math:arxiv_93283", "predicate": "proves", "object": "by using simple mode coupling equations , we investigate the depolarized light scattering spectra of"}
{"subject": "math:arxiv_93290", "predicate": "proves", "object": "the effective qcd - interaction as obtained from the front form hamiltonian by dlcq is fourier trans"}
{"subject": "math:arxiv_93301", "predicate": "proves", "object": "we analyze the gauging of abelian isometries on the hypermultiplet scalar manifolds of @xmath0 super"}
{"subject": "math:arxiv_93314", "predicate": "proves", "object": "we solve the in - medium t - matrix equation at finite temperature including the off - shell propaga"}
{"subject": "math:arxiv_93316", "predicate": "proves", "object": "we study the interior angle sums of translation and geodesic triangles in the universal cover of @xm"}
{"subject": "math:arxiv_93317", "predicate": "proves", "object": "we propose a method for estimating the posterior distribution of a standard geostatistical model . a"}
{"subject": "math:arxiv_93319", "predicate": "proves", "object": "the interplay between spontaneously broken gauge symmetries and bose - einstein condensation has lon"}
{"subject": "math:arxiv_93322", "predicate": "proves", "object": "the parameter space @xmath0 for monic centered cubic polynomial maps with a marked critical point of"}
{"subject": "math:arxiv_93331", "predicate": "proves", "object": "we use intersection theory techniques to define an invariant of closed 3-manifolds counting the char"}
{"subject": "math:arxiv_93353", "predicate": "proves", "object": "we review the notion of reducibility and we introduce and discuss the notion of orbital reducibility"}
{"subject": "math:arxiv_93355", "predicate": "proves", "object": "it is difficult to find the optimal sparse solution of a manifold learning based dimensionality redu"}
{"subject": "math:arxiv_93361", "predicate": "proves", "object": "using concepts of noncommutative probability we show that the lwner s evolution equation can be view"}
{"subject": "math:arxiv_93377", "predicate": "proves", "object": "the dynamics of the deformations of a moving contact line on a disordered substrate is formulated , "}
{"subject": "math:arxiv_93379", "predicate": "proves", "object": "we present a discretization of the jacobi last multiplier , with some applications to the computatio"}
{"subject": "math:arxiv_93392", "predicate": "proves", "object": "in this sequel paper we give a shorter , second proof of the monotonicity of the hawking mass for ti"}
{"subject": "math:arxiv_93405", "predicate": "proves", "object": "the lane - emden type equations are employed in the modelling of several phenomena in the areas of m"}
{"subject": "math:arxiv_93434", "predicate": "proves", "object": "we are interested in knowing what type of manifolds are obtained by doing dehn surgery on closed pur"}
{"subject": "math:arxiv_93456", "predicate": "proves", "object": "two khler metrics on a complex manifold are called c - projectively equivalent if their @xmath0-plan"}
{"subject": "math:arxiv_93457", "predicate": "proves", "object": "we show that every homeomorphic @xmath0 solution @xmath1 to a beltrami equation @xmath2 in a domain "}
{"subject": "math:arxiv_93471", "predicate": "proves", "object": "we calculate the two - loop renormalization group ( rg ) @xmath0-function of a massless scalar field"}
{"subject": "math:arxiv_93472", "predicate": "proves", "object": "let @xmath0 be a complex semisimple lie algebra , and @xmath1 the adjoint quotient map . \n springer "}
{"subject": "math:arxiv_93487", "predicate": "proves", "object": "we study two - species bose - einstein condensates in quasi two - dimensional optical lattices of va"}
{"subject": "math:arxiv_93494", "predicate": "proves", "object": "we reformulate the analysis of nuclear parity - violation ( pv ) within the framework of effective f"}
{"subject": "math:arxiv_93498", "predicate": "proves", "object": "we show that the poincar polynomial associated with the orbifold cell decomposition of the moduli sp"}
{"subject": "math:arxiv_93508", "predicate": "proves", "object": "we consider the klein - gordon and sine - gordon type equations with a point - like potential , whic"}
{"subject": "math:arxiv_93512", "predicate": "proves", "object": "we show that , measured in a backscattering geometry , the polar kerr effect is absent if the nonloc"}
{"subject": "math:arxiv_93530", "predicate": "proves", "object": "we give a self - contained exposition of some mathematical aspects of the mueller - stokes formalism"}
{"subject": "math:arxiv_93533", "predicate": "proves", "object": "we review recent progress in studies of bulk thermodynamics of strongly interacting matter , present"}
{"subject": "math:arxiv_93534", "predicate": "proves", "object": "the aim of the paper is to extend the notion of @xmath0-geometry in the classical and in the noncomm"}
{"subject": "math:arxiv_93535", "predicate": "proves", "object": "we present in detail the einstein equations in the baumgarte - shapiro - shibata - nakamura formulat"}
{"subject": "math:arxiv_93538", "predicate": "proves", "object": "we present an elementary proof of the _ quantum de finetti representation theorem _ , a quantum anal"}
{"subject": "math:arxiv_93544", "predicate": "proves", "object": "we consider a generalization of the diffusion equation on graphs . \n this generalized diffusion equa"}
{"subject": "math:arxiv_93575", "predicate": "proves", "object": "andreev bound states at boundaries of @xmath0-wave superconductors are strongly influenced by the bo"}
{"subject": "math:arxiv_93582", "predicate": "proves", "object": "we study a conjecture by fendley , ludwig and saleur for the nonlinear conductance in the boundary s"}
{"subject": "math:arxiv_93590", "predicate": "proves", "object": "we investigate effects of doped holes hopping on n ' eel order in the two - dimensional hubbard mode"}
{"subject": "math:arxiv_93596", "predicate": "proves", "object": "we establish a network formation game for the internet s autonomous system ( as ) interconnection to"}
{"subject": "math:arxiv_93602", "predicate": "proves", "object": "the methods of neutrino spectra calculations with geant library and the peculiarities of such calcul"}
{"subject": "math:arxiv_93672", "predicate": "proves", "object": "we comment on the calculation mistake in the paper `` @xmath0 and @xmath1 of scalar field models of "}
{"subject": "math:arxiv_93673", "predicate": "proves", "object": "we study sub - riemannian and sub - lorentzian geometry on the lie group @xmath0 and on its universa"}
{"subject": "math:arxiv_93678", "predicate": "proves", "object": "we calculate the equation of state of dna under tension for the case that the dna features loops . \n"}
{"subject": "math:arxiv_93686", "predicate": "proves", "object": "motivated by the construction of h. endo and y. gurtas , changing a positive relator in dehn twist g"}
{"subject": "math:arxiv_93691", "predicate": "proves", "object": "the inherent structures ( _ is _ ) are the local minima of the potential energy surface or landscape"}
{"subject": "math:arxiv_93693", "predicate": "proves", "object": "based on @xcite we introduce and study a mathematical framework for analysis - suitable unstructured"}
{"subject": "math:arxiv_93768", "predicate": "proves", "object": "a rewriting system is a set of equations over a given set of terms called rules that characterize a "}
{"subject": "math:arxiv_93792", "predicate": "proves", "object": "we examine the effects of the linear and the cosmological redshift - space distortions on the power "}
{"subject": "math:arxiv_93801", "predicate": "proves", "object": "we present necessary and sufficient conditions on planar compacta @xmath0 and continuous functions @"}
{"subject": "math:arxiv_93803", "predicate": "proves", "object": "we present a probabilistic approach to the core - size in random maps , which yields straightforward"}
{"subject": "math:arxiv_93867", "predicate": "proves", "object": "we prove the existence of a minimal ( all leaves dense ) foliation of codimension one , on every clo"}
{"subject": "math:arxiv_93875", "predicate": "proves", "object": "we describe polar homology groups for complex manifolds . \n the polar @xmath0-chains are subvarietie"}
{"subject": "math:arxiv_93887", "predicate": "proves", "object": "a new spectral particle - in - cell ( pic ) method for plasma modeling is presented and discussed . "}
{"subject": "math:arxiv_93905", "predicate": "proves", "object": "differential calculus is a staple of the college mathematics major s diet . \n eventually one becomes"}
{"subject": "math:arxiv_93907", "predicate": "proves", "object": "schur functions provide an integral basis of the ring of symmetric functions . it is shown that this"}
{"subject": "math:arxiv_93914", "predicate": "proves", "object": "we exhibit a sufficient condition in terms of decay at infinity of the initial data for the finite t"}
{"subject": "math:arxiv_93915", "predicate": "proves", "object": "in this paper we apply the concept of radar time ( popularised by bondi in his work on k - calculus "}
{"subject": "math:arxiv_93922", "predicate": "proves", "object": "we propose some kinetic models of wealth exchange and investigate their behavior on directed network"}
{"subject": "math:arxiv_93937", "predicate": "proves", "object": "consider an acyclic directed network @xmath0 with sources @xmath1 and distinct sinks @xmath2 . for @"}
{"subject": "math:arxiv_93947", "predicate": "proves", "object": "we prove the existence of nonlinear normal modes for general systems of two coupled nonlinear oscill"}
{"subject": "math:arxiv_93950", "predicate": "proves", "object": "the shapiro conjecture in the real schubert calculus , while likely true for grassmannians , fails t"}
{"subject": "math:arxiv_93951", "predicate": "proves", "object": "generalizing jones s notion of a planar algebra , we have previously introduced an @xmath0-planar al"}
{"subject": "math:arxiv_93956", "predicate": "proves", "object": "nested logic programs have recently been introduced in order to allow for arbitrarily nested formula"}
{"subject": "math:arxiv_93971", "predicate": "proves", "object": "we study the stability properties of the kidder - scheel - teukolsky ( kst ) many - parameter formul"}
{"subject": "math:arxiv_93990", "predicate": "proves", "object": "only a severely restricted class of tensor fields can provide classical spacetime geometries , namel"}
{"subject": "math:arxiv_93999", "predicate": "proves", "object": "we show that the next - to - leading corrections to the kernel of the gap equation can be large and "}
{"subject": "math:arxiv_94029", "predicate": "proves", "object": "this article considers the semilinear boundary value problem given by the poisson equation , @xmath0"}
{"subject": "math:arxiv_94030", "predicate": "proves", "object": "for a fissured medium , we analyze the impact that the geometry of the cracks , has in the phenomeno"}
{"subject": "math:arxiv_94034", "predicate": "proves", "object": "a modification of the parabolic allen  cahn equation , determined by the substitution of fick s diff"}
{"subject": "math:arxiv_94042", "predicate": "proves", "object": "persistence of stationary and traveling single - humped localized solutions in the spatial discretiz"}
{"subject": "math:arxiv_94064", "predicate": "proves", "object": "many computer vision and image processing problems can be posed as solving partial differential equa"}
{"subject": "math:arxiv_94092", "predicate": "proves", "object": "the deterministic network calculus offers an elegant framework for determining delays and backlog in"}
{"subject": "math:arxiv_94094", "predicate": "proves", "object": "the relaxation dynamics in mixed chaotic systems are believed to decay algebraically with a universa"}
{"subject": "math:arxiv_94124", "predicate": "proves", "object": "the exchange graph of a cluster algebra encodes the combinatorics of mutations of clusters . through"}
{"subject": "math:arxiv_94131", "predicate": "proves", "object": "we apply a variational technique to solve the time - dependent gross - pitaevskii equation for bose "}
{"subject": "math:arxiv_94137", "predicate": "proves", "object": "in this paper , we discuss a systematic and self consistent procedure to factorize a rather general "}
{"subject": "math:arxiv_94138", "predicate": "proves", "object": "we investigate the effects of impurities and changing ring geometry on the energetics of quantum rin"}
{"subject": "math:arxiv_94204", "predicate": "proves", "object": "we explore a question related to the celebrated erds - szekeres theorem and develop a geometric appr"}
{"subject": "math:arxiv_94214", "predicate": "proves", "object": "we discuss in detail a recently proposed hybrid particle - continuum scheme for complex fluids and e"}
{"subject": "math:arxiv_94216", "predicate": "proves", "object": "it has been conjectured that for any fixed @xmath0 and sufficiently large @xmath1 , there is a monoc"}
{"subject": "math:arxiv_94239", "predicate": "proves", "object": "we define new diagram algebras providing a sequence of multiparameter generalisations of the temperl"}
{"subject": "math:arxiv_94241", "predicate": "proves", "object": "the paper deals with a spatially homogeneous and totally anisotropic bianchi ii cosmological models "}
{"subject": "math:arxiv_94277", "predicate": "proves", "object": "we develop an efficient algorithm for a spatially inhomogeneous matrix - valued quantum boltzmann eq"}
{"subject": "math:arxiv_94287", "predicate": "proves", "object": "we develop a maxwell  schrdinger formalism in order to describe the radiative interaction mechanism "}
{"subject": "math:arxiv_94292", "predicate": "proves", "object": "we conjecture a general formula for assigning r - charges and multiplicities for the chiral fields o"}
{"subject": "math:arxiv_94296", "predicate": "proves", "object": "a detailed treatment of the classical chapman - enskog derivation of hydrodynamics is given in the f"}
{"subject": "math:arxiv_94325", "predicate": "proves", "object": "the boundary energy - momentum tensors for a static observer in the conformally flat rindler geometr"}
{"subject": "math:arxiv_94327", "predicate": "proves", "object": "we investigate yang - mills instantons on a 7-dimensional manifold of @xmath0 holonomy . by proposin"}
{"subject": "math:arxiv_94336", "predicate": "proves", "object": "an unanswered question in general topology asks whether the stone - ech compactification of a widely"}
{"subject": "math:arxiv_94338", "predicate": "proves", "object": "entringer , jackson , and schatz conjectured in 1974 that every infinite cubefree binary word contai"}
{"subject": "math:arxiv_94340", "predicate": "proves", "object": "a new technique for calculating the time - evolution , correlations and steady state spectra for non"}
{"subject": "math:arxiv_94355", "predicate": "proves", "object": "we derive a simple formula for the transformation of an arbitrary covariance matrix of @xmath0 boson"}
{"subject": "math:arxiv_94372", "predicate": "proves", "object": "a novel method is proposed to determine an analytical expression for eigenfunctions and numerical re"}
{"subject": "math:arxiv_94379", "predicate": "proves", "object": "there is now compelling evidence of a link between long - duration gamma - ray bursts ( grbs ) and t"}
{"subject": "math:arxiv_94385", "predicate": "proves", "object": "for a system composed of two particles bell s theorem asserts that averages of physical quantities d"}
{"subject": "math:arxiv_94397", "predicate": "proves", "object": "in this paper , we introduce a weyl functional calculus @xmath0 for the position and momentum operat"}
{"subject": "math:arxiv_94402", "predicate": "proves", "object": "the aim of this paper is to develop a virtual element method ( vem ) for the vibration problem of th"}
{"subject": "math:arxiv_94417", "predicate": "proves", "object": "in the present paper , we consider large - scale continuous - time differential matrix riccati equat"}
{"subject": "math:arxiv_94419", "predicate": "proves", "object": "we study the statistics and characteristics of rare intense events in two types of two dimensional c"}
{"subject": "math:arxiv_94440", "predicate": "proves", "object": "turbulence governed by the navier - stokes equations shows a tendency to evolve towards a state in w"}
{"subject": "math:arxiv_94446", "predicate": "proves", "object": "in this paper the gribov gap equation at finite temperature is analyzed . \n the solutions of the gap"}
{"subject": "math:arxiv_94451", "predicate": "proves", "object": "we offer a physicists proof that center - vortex theory requires the area in the wilson - loop area "}
{"subject": "math:arxiv_94463", "predicate": "proves", "object": "erds conjectured in 1946 that every @xmath0-point set @xmath1 in convex position in the plane contai"}
{"subject": "math:arxiv_94468", "predicate": "proves", "object": "we study two sets of rate equations for sympathetic cooling of harmonically trapped bose gases . \n c"}
{"subject": "math:arxiv_94470", "predicate": "proves", "object": "the dirac equation , usually obtained by ` quantizing ' a classical stochastic model is here obtaine"}
{"subject": "math:arxiv_94492", "predicate": "proves", "object": "in order to find an approximate solution to the vlasov - maxwell equation system describing the lowe"}
{"subject": "math:arxiv_94497", "predicate": "proves", "object": "we investigate the complexity of cut - reduction on proof notations , in particular identifying situ"}
{"subject": "math:arxiv_94518", "predicate": "proves", "object": "a henkin - style proof of completeness of first - order classical logic is given with respect to a v"}
{"subject": "math:arxiv_94525", "predicate": "proves", "object": "this paper gives an overview of the various approaches towards @xmath0-geometry . in a first part , "}
{"subject": "math:arxiv_94530", "predicate": "proves", "object": "we formulate generalizations of pauli s theorem on the cases of real and complex clifford algebras o"}
{"subject": "math:arxiv_94535", "predicate": "proves", "object": "a simple upwind discretization of the highly coupled non - linear differential equations which defin"}
{"subject": "math:arxiv_94540", "predicate": "proves", "object": "inspired by `` quantum graphity '' models for spacetime , a statistical model of graphs is proposed "}
{"subject": "math:arxiv_94591", "predicate": "proves", "object": "[ ch : abstract ]    the caloron correspondence ( introduced in @xcite and generalised in @xcite ) i"}
{"subject": "math:arxiv_94602", "predicate": "proves", "object": "this is the first of two papers which construct a purely algebraic counterpart to the theory of grom"}
{"subject": "math:arxiv_94626", "predicate": "proves", "object": "since the work of ornstein and weiss in 1987 ( * entropy and isomorphism theorems for actions of ame"}
{"subject": "math:arxiv_94629", "predicate": "proves", "object": "we study the propagation of localised disturbances in a turbulent , but momentarily quiescent and un"}
{"subject": "math:arxiv_94638", "predicate": "proves", "object": "relativistic hartree equations for spherical nuclei have been derived from a relativistic quark mode"}
{"subject": "math:arxiv_94641", "predicate": "proves", "object": "an absolute continuity approach to quasinormality which relates the operator in question to the spec"}
{"subject": "math:arxiv_94643", "predicate": "proves", "object": "the possibility of pion  pair formation in a hot pion gas , based on the bosonic gap equation , is p"}
{"subject": "math:arxiv_94660", "predicate": "proves", "object": "we describe a realizability framework for classical first - order logic in which realizers live in ("}
{"subject": "math:arxiv_94664", "predicate": "proves", "object": "at the core of the robertson - seymour theory of graph minors lies a powerful structure theorem whic"}
{"subject": "math:arxiv_94671", "predicate": "proves", "object": "the reformulated coupled - cluster method ( ccm ) , in which average many - body potentials are intr"}
{"subject": "math:arxiv_94677", "predicate": "proves", "object": "effects of local availability of mathematics ( lam ) and space time dependent number scaling on phys"}
{"subject": "math:arxiv_94687", "predicate": "proves", "object": "we apply robust control technics to an adaptive optics system including a dynamic model of the defor"}
{"subject": "math:arxiv_94688", "predicate": "proves", "object": "the spline complex @xmath0 $ ] whose top homology is the algebra @xmath1 of mixed splines over the f"}
{"subject": "math:arxiv_94693", "predicate": "proves", "object": "we study the dispersive properties of the schrdinger equation . \n precisely , we look for estimates "}
{"subject": "math:arxiv_94717", "predicate": "proves", "object": "we call attention to the intermediate constructions @xmath0 in goodwillie s calculus of homotopy fun"}
{"subject": "math:arxiv_94718", "predicate": "proves", "object": "a dehn sphere @xmath0 @xcite in a closed 3-manifold @xmath1 is a 2-sphere immersed in @xmath1 with o"}
{"subject": "math:arxiv_94719", "predicate": "proves", "object": "an introductory survey on the schrdinger uncertainty relation and its minimization states is present"}
{"subject": "math:arxiv_94720", "predicate": "proves", "object": "+ this paper presents a novel canonical duality approach for solving a general topology optimization"}
{"subject": "math:arxiv_94726", "predicate": "proves", "object": "non - commutative geometry at inflation can give arise to parity violating modulations of the primor"}
{"subject": "math:arxiv_94739", "predicate": "proves", "object": "we consider exact and asymptotic solutions of the stationary cubic nonlinear schrdinger equation ( n"}
{"subject": "math:arxiv_94743", "predicate": "proves", "object": "we investigate the mapping class group of an orientable @xmath0-bounded surface . \n such a surface s"}
{"subject": "math:arxiv_94748", "predicate": "proves", "object": "we prove an index theorem for the existence of majorana zero modes in a semiconducting thin film wit"}
{"subject": "math:arxiv_94772", "predicate": "proves", "object": "we investigate spectral properties of the laplace operator on a class of non - compact riemannian ma"}
{"subject": "math:arxiv_94779", "predicate": "proves", "object": "the topological effects on the thermal properties of several knot configurations are investigated us"}
{"subject": "math:arxiv_94791", "predicate": "proves", "object": "we give an introduction to the language of groupoids as used in singular analysis , index theory and"}
{"subject": "math:arxiv_94846", "predicate": "proves", "object": "we calculate puncture initial data , corresponding to single and binary black holes with linear mome"}
{"subject": "math:arxiv_94878", "predicate": "proves", "object": "we consider a linear partial integro - differential equation that arises in the modeling of various "}
{"subject": "math:arxiv_94880", "predicate": "proves", "object": "in this paper we consider a system of three fractional differential equations describing a nonlinear"}
{"subject": "math:arxiv_94881", "predicate": "proves", "object": "we discuss the flow equations in the context of general braneworld cosmologies with a modified fried"}
{"subject": "math:arxiv_94891", "predicate": "proves", "object": "in the paper we investigate existence of soliton solutions for higher - order partial differential e"}
{"subject": "math:arxiv_94899", "predicate": "proves", "object": "we study paths of time - length  @xmath0 of a continuous - time random walk on  @xmath1 subject to s"}
{"subject": "math:arxiv_94935", "predicate": "proves", "object": "we present a unified three - dimensional model of the convection zone and upper atmosphere of the su"}
{"subject": "math:arxiv_94937", "predicate": "proves", "object": "we calculate the current and electrostatic potential drop in metallic carbon nanotube wires self - c"}
{"subject": "math:arxiv_94946", "predicate": "proves", "object": "in this paper we present a method to derive an exact master equation for a bosonic system coupled to"}
{"subject": "math:arxiv_94958", "predicate": "proves", "object": "we present a general formulation of floquet states of periodically time - dependent open markovian q"}
{"subject": "math:arxiv_94984", "predicate": "proves", "object": "an analytical approximation to periodic orbits in the circular restricted three - body problem is pr"}
{"subject": "math:arxiv_94994", "predicate": "proves", "object": "algebra and representation theory in modular tensor categories can be combined with tools from topol"}
{"subject": "math:arxiv_95026", "predicate": "proves", "object": "the non - equilibrium self - consistent generalized langevin equation theory of irreversible relaxat"}
{"subject": "math:arxiv_95044", "predicate": "proves", "object": "the stochastic differential equations for a model of dissipative particle dynamics , with both total"}
{"subject": "math:arxiv_95047", "predicate": "proves", "object": "the spectrum of the quantum discrete nonlinear schrdinger equation on a periodic 1d lattice shows so"}
{"subject": "math:arxiv_95063", "predicate": "proves", "object": "building upon work by matsumoto , we show that the quantum relative entropy with full - rank second "}
{"subject": "math:arxiv_95071", "predicate": "proves", "object": "we present a theory of magnetization dynamics driven by spin - polarized current in terms of the qua"}
{"subject": "math:arxiv_95078", "predicate": "proves", "object": "we have investigated multiple scattering of light in systems subject to magneto - chiral ( mc ) effe"}
{"subject": "math:arxiv_95081", "predicate": "proves", "object": "we study the electronic and transport properties of a graphene - based superlattice theoretically by"}
{"subject": "math:arxiv_95109", "predicate": "proves", "object": "we investigate the fermionic condensate and the vacuum expectation values of the energy - momentum t"}
{"subject": "math:arxiv_95111", "predicate": "proves", "object": "in 2007 agol showed that if @xmath0 is an aspherical compact 3-manifold with empty or toroidal bound"}
{"subject": "math:arxiv_95116", "predicate": "proves", "object": "semilinear stochastic evolution equations with multiplicative lvy noise and monotone nonlinear drift"}
{"subject": "math:arxiv_95153", "predicate": "proves", "object": "the role of external forces in systems exhibiting anomalous diffusion is discussed on the basis of t"}
{"subject": "math:arxiv_95174", "predicate": "proves", "object": "we derive a model of dark energy which evolves with time via the scale factor . \n the equation of st"}
{"subject": "math:arxiv_95176", "predicate": "proves", "object": "we take an ordered , anharmonic crystal in the form of slab geometry in three dimensions . apart fro"}
{"subject": "math:arxiv_95179", "predicate": "proves", "object": "two dimensional analogue of vacuum sector of the brans dicke gravity [ 1 ] is studied to obtain dyna"}
{"subject": "math:arxiv_95199", "predicate": "proves", "object": "the second - order differential equation describes harmonic oscillators , as well as currents in lcr"}
{"subject": "math:arxiv_95200", "predicate": "proves", "object": "we show that the @xmath0 dimensional vacuum einstein equations admit gravitational waves with radial"}
{"subject": "math:arxiv_95208", "predicate": "proves", "object": "in nonlinear dispersive evolution equations , the competing effects of nonlinearity and dispersion m"}
{"subject": "math:arxiv_95223", "predicate": "proves", "object": "the schrdinger equation with the @xmath0symmetric hulthn potential is solved exactly by taking into "}
{"subject": "math:arxiv_95234", "predicate": "proves", "object": "we give several explicit combinatorial formulas for the expansion of k - schur functions indexed by "}
{"subject": "math:arxiv_95251", "predicate": "proves", "object": "we analyze the bell polynomials @xmath0 asymptotically as @xmath1 . \n we obtain asymptotic approxima"}
{"subject": "math:arxiv_95284", "predicate": "proves", "object": "we give the automata which describe time evolution rules of the box - ball system ( bbs ) with a car"}
{"subject": "math:arxiv_95287", "predicate": "proves", "object": "in 1922 , cartan introduced in differential geometry , besides the riemannian curvature , the new co"}
{"subject": "math:arxiv_95302", "predicate": "proves", "object": "we shall prove a poincar - bendixson theorem describing the asymptotic behavior of geodesics for a m"}
{"subject": "math:arxiv_95311", "predicate": "proves", "object": "community structure is one of the key properties of complex networks and plays a crucial role in the"}
{"subject": "math:arxiv_95313", "predicate": "proves", "object": "the domain wall fermion formulation exhibits full chiral symmetry for finite lattice spacing except "}
{"subject": "math:arxiv_95325", "predicate": "proves", "object": "we define the periodic full kostant - toda on every simple lie algebra , and show its liouville inte"}
{"subject": "math:arxiv_95327", "predicate": "proves", "object": "regge calculus is a powerful method to approximate a continuous manifold by a simplicial lattice , k"}
{"subject": "math:arxiv_95350", "predicate": "proves", "object": "in this paper , we take into account black hole solutions of brans - dicke - maxwell theory and inve"}
{"subject": "math:arxiv_95351", "predicate": "proves", "object": "in this paper we apply our results on the geometry of polygons in infinitesimal symmetric spaces , s"}
{"subject": "math:arxiv_95352", "predicate": "proves", "object": "we found non singular solutions for universes filled with a fluid which obey a generalized equation "}
{"subject": "math:arxiv_95362", "predicate": "proves", "object": "in 1965 erds conjectured that for all @xmath0 , @xmath1 and @xmath2 , an @xmath3-vertex @xmath4-unif"}
{"subject": "math:arxiv_95370", "predicate": "proves", "object": "we give a combinatorial interpretation of a certain positivity conjecture of chern - schwartz - macp"}
{"subject": "math:arxiv_95378", "predicate": "proves", "object": "by relying on an advanced jones calculus we analyze the polarization properties of light upon propag"}
{"subject": "math:arxiv_95381", "predicate": "proves", "object": "in this paper , we give an explicit determination of the non - vanishing of the theta liftings for u"}
{"subject": "math:arxiv_95384", "predicate": "proves", "object": "an alternative derivation of brownian motion is presented . instead of supplementing the linearized "}
{"subject": "math:arxiv_95388", "predicate": "proves", "object": "we use fox calculus to assign a marked polytope to a ` nice ' group presentation with two generators"}
{"subject": "math:arxiv_95394", "predicate": "proves", "object": "for a mixed ( advanced  delay ) differential equation with variable delays and coefficients @xmath0 "}
{"subject": "math:arxiv_95424", "predicate": "proves", "object": "the isometric immersion of two - dimensional riemannian manifold with negative gauss curvature into "}
{"subject": "math:arxiv_95430", "predicate": "proves", "object": "we study the rotational and translational kinetics of massive particulates ( dust grains ) absorbing"}
{"subject": "math:arxiv_95465", "predicate": "proves", "object": "we analyze the stability of the structure equations of the vacuum in the brane world models , by usi"}
{"subject": "math:arxiv_95466", "predicate": "proves", "object": "we consider spin and charge flow in normal metals . \n we employ the keldysh formalism to find transp"}
{"subject": "math:arxiv_95474", "predicate": "proves", "object": "we consider generalized teleparallel gravity in the flat frw universe with a viable power - law @xma"}
{"subject": "math:arxiv_95499", "predicate": "proves", "object": "the field theoretic renormalization group is applied to the stochastic navier  stokes equation that "}
{"subject": "math:arxiv_95524", "predicate": "proves", "object": "in this note we give two examples of partially commutative subgroups of partially commutative groups"}
{"subject": "math:arxiv_95528", "predicate": "proves", "object": "in @xcite m. baker and s. norine developed a theory of divisors and linear systems on graphs , and p"}
{"subject": "math:arxiv_95549", "predicate": "proves", "object": "we extend the recently proposed time - dependent multi - determinant approach ( ref.[1 ] ) to the de"}
{"subject": "math:arxiv_95556", "predicate": "proves", "object": "we comment on an analysis by contopoulos et al . which demonstrates that the governing six - dimensi"}
{"subject": "math:arxiv_95568", "predicate": "proves", "object": "we study the collapse process of a homogeneous perfect fluid ( in flrw background ) with a barotropi"}
{"subject": "math:arxiv_95580", "predicate": "proves", "object": "we study the anisotropic effect of the coulomb interaction on a 1/3-filling fractional quantum hall "}
{"subject": "math:arxiv_95600", "predicate": "proves", "object": "in this paper , we treat symplectic difference equations with one degree of freedom . for such cases"}
{"subject": "math:arxiv_95601", "predicate": "proves", "object": "a sharp stability analysis of atomistic - to - continuum coupling methods is essential for evaluatin"}
{"subject": "math:arxiv_95607", "predicate": "proves", "object": "we propose a new method for extracting neutron structure functions from inclusive structure function"}
{"subject": "math:arxiv_95609", "predicate": "proves", "object": "we discuss the use of the magnetic force theorem ( mft ) using different reference states upon which"}
{"subject": "math:arxiv_95620", "predicate": "proves", "object": "let @xmath0 be an integral domain containing the invertible elements @xmath1 , @xmath2 and @xmath3 \n"}
{"subject": "math:arxiv_95621", "predicate": "proves", "object": "using three - dimensional stellar kinematic data from simulated galaxies , we examine the efficacy o"}
{"subject": "math:arxiv_95630", "predicate": "proves", "object": "cms calorimeter energy calibration was done in the full cms simulated geometry for the pseudorapidit"}
{"subject": "math:arxiv_95644", "predicate": "proves", "object": "we evaluate the second  order ( beyond  mean  field ) contribution to the equation of state of nucle"}
{"subject": "math:arxiv_95651", "predicate": "proves", "object": "soft interfaces can mediate interactions between particles bound to them . the force transmitted thr"}
{"subject": "math:arxiv_95659", "predicate": "proves", "object": "in this paper we consider scalar - tensor theories , allowing for both conformal and disformal coupl"}
{"subject": "math:arxiv_95661", "predicate": "proves", "object": "we propose a cross - media lecture - on - demand system , in which users can selectively view specif"}
{"subject": "math:arxiv_95677", "predicate": "proves", "object": "we show that the geodesic period spectrum of a riemannian 2-orbifold all of whose geodesics are clos"}
{"subject": "math:arxiv_95706", "predicate": "proves", "object": "0.2 cm we derive a series of moment equations describing the motion and flavor transformation of neu"}
{"subject": "math:arxiv_95752", "predicate": "proves", "object": "numerical methods for solving the ideal magnetohydrodynamic ( mhd ) equations in more than one space"}
{"subject": "math:arxiv_95753", "predicate": "proves", "object": "spiral and antispiral waves are studied numerically in two examples of oscillatory reaction - diffus"}
{"subject": "math:arxiv_95772", "predicate": "proves", "object": "the optimized effective potential ( oep ) is the exact kohn - sham potential for explicitly orbital "}
{"subject": "math:arxiv_95775", "predicate": "proves", "object": "cluster mergers drive shocks into the intracluster medium which heat and compress the thermal gas . "}
{"subject": "math:arxiv_95798", "predicate": "proves", "object": "theoretically expected natures of a supernova driven by a wind / jet are discussed . \n approximate a"}
{"subject": "math:arxiv_95799", "predicate": "proves", "object": "in this paper we try to constrain the parameters of the variable chaplygin gas model , with equation"}
{"subject": "math:arxiv_95827", "predicate": "proves", "object": "by virtue of the generalized hellmann - feynman theorem for ensemble average , we obtain internal en"}
{"subject": "math:arxiv_95833", "predicate": "proves", "object": "in this paper , we use the joint measurement of geometry and growth rate from matter density perturb"}
{"subject": "math:arxiv_95841", "predicate": "proves", "object": "we demonstrate that it is possible to compute wave function normalization constants for a class of s"}
{"subject": "math:arxiv_95843", "predicate": "proves", "object": "we show that a remarkable compatibility exists between the results of a potential model with constit"}
{"subject": "math:arxiv_95851", "predicate": "proves", "object": "we verify a conjecture of lutwak , yang , zhang about the equality case in the orlicz - petty projec"}
{"subject": "math:arxiv_95873", "predicate": "proves", "object": "the present contribution suggests the use of a multidimensional scaling ( mds ) algorithm as a visua"}
{"subject": "math:arxiv_95884", "predicate": "proves", "object": "globally irreducible nodes ( i.e. nodes whose branches belong to the same irreducible component ) ha"}
{"subject": "math:arxiv_95889", "predicate": "proves", "object": "we derive the four - dimensional field equations for the induced metric and scalar field on the worl"}
{"subject": "math:arxiv_95895", "predicate": "proves", "object": "the theoretical analysis of the energetics of mechanically - stirred horizontal convection for a bou"}
{"subject": "math:arxiv_95896", "predicate": "proves", "object": "we shall firstly study the existence of one positive solution of a model problem for one equation vi"}
{"subject": "math:arxiv_95897", "predicate": "proves", "object": "spectra of late - type stars are usually analyzed with static model atmospheres in local thermodynam"}
{"subject": "math:arxiv_95900", "predicate": "proves", "object": "this paper constructs a new mathematical axiom system for classical harmony , which is a prescriptiv"}
{"subject": "math:arxiv_95906", "predicate": "proves", "object": "diaconis and sturmfels introduced an influential method to construct markov chains using commutative"}
{"subject": "math:arxiv_95909", "predicate": "proves", "object": "we consider open symplectic manifolds which admit dilations ( in the sense previously introduced by "}
{"subject": "math:arxiv_95921", "predicate": "proves", "object": "we compute the first order chiral phase transition for an instanton motivated quark model with a loc"}
{"subject": "math:arxiv_95923", "predicate": "proves", "object": "in @xcite we introduced the notion of a partial translation @xmath0-algebra for a discrete metric sp"}
{"subject": "math:arxiv_95928", "predicate": "proves", "object": "the paper is devoted to the study of shock formation of the 3-dimensional quasilinear wave equation "}
{"subject": "math:arxiv_95929", "predicate": "proves", "object": "we simulate the prisoner s dilemma and hawk - dove games on a real social acquaintance network . usi"}
{"subject": "math:arxiv_95943", "predicate": "proves", "object": "_ domino tileability _ is a classical problem in discrete geometry , famously solved by thurston for"}
{"subject": "math:arxiv_95947", "predicate": "proves", "object": "the confinement of critical fluctuations in soft media induces critical casimir forces acting on the"}
{"subject": "math:arxiv_95960", "predicate": "proves", "object": "since its first appearance in 1971 , gutzwiller s trace formula has been extended to systems with co"}
{"subject": "math:arxiv_95977", "predicate": "proves", "object": "the goal of this paper is to describe zermelo s navigation problem on riemannian manifolds as a time"}
{"subject": "math:arxiv_95989", "predicate": "proves", "object": "magnetohydrostatic models of the solar atmosphere are often based on idealized analytic solutions be"}
{"subject": "math:arxiv_96001", "predicate": "proves", "object": "we investigate velocity statistics of homogeneous inelastic gases using the boltzmann equation . emp"}
{"subject": "math:arxiv_96013", "predicate": "proves", "object": "we construct an infinite family of mutually nondiffeomorphic irreducible smooth structures on the to"}
{"subject": "math:arxiv_96020", "predicate": "proves", "object": "a geometric charactrization of the equation found by hietarinta and viallet , which satisfies the si"}
{"subject": "math:arxiv_96025", "predicate": "proves", "object": "geometry of networks endowed with a causal structure is discussed using the conventional framework o"}
{"subject": "math:arxiv_96038", "predicate": "proves", "object": "truncated dyson  schwinger equations represent finite subsets of the equations of motion for green s"}
{"subject": "math:arxiv_96047", "predicate": "proves", "object": "we present the poincar algebra interpolating between instant and light - front time quantizations . "}
{"subject": "math:arxiv_96084", "predicate": "proves", "object": "we consider a quantity @xmath0  the distance to the origin from the null variety of the fourier tran"}
{"subject": "math:arxiv_96085", "predicate": "proves", "object": "in 2008 , the conjecture that structural physical approximations to optimal entanglement witnesses a"}
{"subject": "math:arxiv_96094", "predicate": "proves", "object": "let @xmath0 be the interior of a compact 3manifold with non  empty boundary , and @xmath1 be an idea"}
{"subject": "math:arxiv_96095", "predicate": "proves", "object": "we give a gravitational upper limit for the mass of static degenerate fermionic dark matter objects "}
{"subject": "math:arxiv_96096", "predicate": "proves", "object": "this paper considers a new bi - objective optimization formulation for robust rgb - d visual odometr"}
{"subject": "math:arxiv_96104", "predicate": "proves", "object": "background : :    @xmath0na is conjectured to play an important role in the    production of seed nu"}
{"subject": "math:arxiv_96123", "predicate": "proves", "object": "this is a brief introduction to the quiver hecke algebras of khovanov , lauda and rouquier , emphasi"}
{"subject": "math:arxiv_96126", "predicate": "proves", "object": "we define certain class of correspondences of polarized representations of @xmath0-algebras . \n our "}
{"subject": "math:arxiv_96128", "predicate": "proves", "object": "in three - dimensional qed with a chern  simons term we study the phase structure associated with ch"}
{"subject": "math:arxiv_96133", "predicate": "proves", "object": "we investigate pion superfluidity and its effect on meson properties and equation of state at finite"}
{"subject": "math:arxiv_96141", "predicate": "proves", "object": "we use holomorphic disks to describe the formation of singularities in the mean curvature flow of mo"}
{"subject": "math:arxiv_96146", "predicate": "proves", "object": "transport of a particle in a spatially periodic harmonic potential under the influence of a slowly t"}
{"subject": "math:arxiv_96148", "predicate": "proves", "object": "an infinite family of axisymmetric charged dust disks of finite extension is presented . \n the disks"}
{"subject": "math:arxiv_96150", "predicate": "proves", "object": "any metric theory of gravity whose interaction with quantum particles is described by a covariant wa"}
{"subject": "math:arxiv_96154", "predicate": "proves", "object": "the nuclear mean - field potentials obtained in the hartree - fock method with different choices of "}
{"subject": "math:arxiv_96169", "predicate": "proves", "object": "a study of binary systems composed of two point particles with different masses in the linear regime"}
{"subject": "math:arxiv_96173", "predicate": "proves", "object": "we present an investigation of the inclusive semileptonic decay widths of the heavy baryons @xmath0 "}
{"subject": "math:arxiv_96174", "predicate": "proves", "object": "a critique of a prescription of non - locality @xcite that appears to be stronger and more general t"}
{"subject": "math:arxiv_96197", "predicate": "proves", "object": "we develop a theory of magneto - transport properties of two - dimensional electron gas in cylindric"}
{"subject": "math:arxiv_96201", "predicate": "proves", "object": "we find that the fundamental quadratic form of classical string propagation in @xmath0 dimensional c"}
{"subject": "math:arxiv_96212", "predicate": "proves", "object": "we study the singular set of solutions to hamilton - jacobi equations with a hamiltonian independent"}
{"subject": "math:arxiv_96220", "predicate": "proves", "object": "cylindrical algebraic decomposition ( cad ) is an important tool for the study of real algebraic geo"}
{"subject": "math:arxiv_96233", "predicate": "proves", "object": "we give new proofs of the rationality of the @xmath0 superconformal minimal model vertex operator su"}
{"subject": "math:arxiv_96254", "predicate": "proves", "object": "using the analogy with inelastic granular gasses we introduce a model for wealth exchange in society"}
{"subject": "math:arxiv_96262", "predicate": "proves", "object": "we analyse the linear kinetic transport equation with a bgk relaxation operator . \n we study the lar"}
{"subject": "math:arxiv_96265", "predicate": "proves", "object": "we give a new proof of steinitz s classical theorem in the case of plane triangulations , which allo"}
{"subject": "math:arxiv_96267", "predicate": "proves", "object": "the fixed - point theory and its applications to various areas of science are well known . in this p"}
{"subject": "math:arxiv_96297", "predicate": "proves", "object": "let @xmath0 be a highest weight module over a kac  moody algebra @xmath1 , and let @xmath2 denote th"}
{"subject": "math:arxiv_96353", "predicate": "proves", "object": "we prove an inequality with applications to solutions of the schrdinger equation . \n there is a univ"}
{"subject": "math:arxiv_96373", "predicate": "proves", "object": "we derive a particle number - conserving rate equation for the ground state and for the elementary e"}
{"subject": "math:arxiv_96380", "predicate": "proves", "object": "we address the problem of numerical simulations in the background non - trivial topology in the chir"}
{"subject": "math:arxiv_96383", "predicate": "proves", "object": "in this work , we discuss a number game that develops in a manner similar to that on which gilbreath"}
{"subject": "math:arxiv_96387", "predicate": "proves", "object": "the following lectures are an introduction to the phenomena of partonic saturation and nonlinear evo"}
{"subject": "math:arxiv_96388", "predicate": "proves", "object": "delzant s theorem for symplectic toric manifolds says that there is a one - to - one correspondence "}
{"subject": "math:arxiv_96394", "predicate": "proves", "object": "we introduce a new finite element ( fe ) discretization framework applicable for covariant _ split _"}
{"subject": "math:arxiv_96400", "predicate": "proves", "object": "motion of chemically driven droplets is analyzed by applying a solvability condition of perturbed hy"}
{"subject": "math:arxiv_96436", "predicate": "proves", "object": "we consider differential operators between sections of arbitrary powers of the determinant line bund"}
{"subject": "math:arxiv_96445", "predicate": "proves", "object": "pure glue qcd is formulated on a 2 + 1 dimensional transverse lattice , using discrete light - front"}
{"subject": "math:arxiv_96452", "predicate": "proves", "object": "the green - kubo relation and fluctuation - dissipation theorem are employed to calculate the shear "}
{"subject": "math:arxiv_96457", "predicate": "proves", "object": "adaptive networks have been recently introduced in the context of disease propagation on complex net"}
{"subject": "math:arxiv_96474", "predicate": "proves", "object": "the pursuit of highest payoffs in evolutionary social dilemmas is risky and sometimes inferior to co"}
{"subject": "math:arxiv_96495", "predicate": "proves", "object": "for multispecies ions , we study boundary layer solutions of charge conserving poisson - boltzmann ("}
{"subject": "math:arxiv_96524", "predicate": "proves", "object": "the nonlinear propagation of dust - acoustic ( da ) waves in a magnetized dusty plasma with a pair o"}
{"subject": "math:arxiv_96545", "predicate": "proves", "object": "we present a computational study on the topology , energetics and structural deformations for a larg"}
{"subject": "math:arxiv_96554", "predicate": "proves", "object": "* abstract*. we study linear integro - differential equations in hilbert spaces with operator - valu"}
{"subject": "math:arxiv_96566", "predicate": "proves", "object": "we present a renormalization group treatment of quantum tricriticality in metals . applying a set of"}
{"subject": "math:arxiv_96567", "predicate": "proves", "object": "we formulate a complete microscopic theory of a coupled pair of bound magnetic polarons , the bound "}
{"subject": "math:arxiv_96582", "predicate": "proves", "object": "the absence of compelling theoretical model requires the parameterizing the dark energy to probe its"}
{"subject": "math:arxiv_96596", "predicate": "proves", "object": "we prove a version of kontsevich s formality theorem for two subspaces ( branes ) of a vector space "}
{"subject": "math:arxiv_96600", "predicate": "proves", "object": "i describe the general mathematical construction and physical picture of topological black holes , w"}
{"subject": "math:arxiv_96647", "predicate": "proves", "object": "two questions connected to the macroscopic maxwell equations are addressed : first , which form do t"}
{"subject": "math:arxiv_96655", "predicate": "proves", "object": "euler s equations of motion are derived exactly for a rigid , triaxial , internally frictionless neu"}
{"subject": "math:arxiv_96670", "predicate": "proves", "object": "we consider singularity theorems in asymptotically anti - de sitter ( ads ) spacetimes . in the firs"}
{"subject": "math:arxiv_96677", "predicate": "proves", "object": "in this work we provide a framework for modeling compact stars in which the interior matter distribu"}
{"subject": "math:arxiv_96692", "predicate": "proves", "object": "we numerically study jamming transitions in pedestrian flow interacting with an attraction , mostly "}
{"subject": "math:arxiv_96716", "predicate": "proves", "object": "boltzmann s principle @xmath0 allows the interpretation of statistical mechanics of a _ closed _ sys"}
{"subject": "math:arxiv_96745", "predicate": "proves", "object": "in this paper we study the regular prism tilings and construct ball packings by geodesic balls relat"}
{"subject": "math:arxiv_96747", "predicate": "proves", "object": "i examine the form of the solution of the bfkl equation with running coupling relevant for deep inel"}
{"subject": "math:arxiv_96752", "predicate": "proves", "object": "supersymmetric renormalization group ( rg ) flow equations for the effective superpotential of the t"}
{"subject": "math:arxiv_96763", "predicate": "proves", "object": "we introduce a variational multiscale closure modeling strategy for the numerical stabilization of p"}
{"subject": "math:arxiv_96764", "predicate": "proves", "object": "the adiabatic solutions of maxwell - bloch equation governing the three - level eit medium is presen"}
{"subject": "math:arxiv_96778", "predicate": "proves", "object": "we consider a recently discovered representation for the general solution of the sturm - liouville e"}
{"subject": "math:arxiv_96802", "predicate": "proves", "object": "we prove that the algebra of singular cochains on a smooth manifold , equipped with the cup product "}
{"subject": "math:arxiv_96810", "predicate": "proves", "object": "we construct a sequence of @xmath0 cyclic exact sequences that can be used to compute the @xmath1-th"}
{"subject": "math:arxiv_96811", "predicate": "proves", "object": "in this paper , we study the unconditional convergence and error estimates of a galerkin - mixed fem"}
{"subject": "math:arxiv_96840", "predicate": "proves", "object": "we construct the spectrum generating algebra ( sga ) for a free particle in the three dimensional sp"}
{"subject": "math:arxiv_96845", "predicate": "proves", "object": "in this paper we show that three cavity fields can be entangled when they are tuned on resonance wit"}
{"subject": "math:arxiv_96848", "predicate": "proves", "object": "it has been shown by explicit and exact calculation that whenever we have taken the _ effects of sta"}
{"subject": "math:arxiv_96857", "predicate": "proves", "object": "let @xmath0 be a symplectic manifold , @xmath1 be an @xmath2-tame almost complex structure , and @xm"}
{"subject": "math:arxiv_96858", "predicate": "proves", "object": "we have measured the topology ( genus ) of the density distribution of large - scale structure obser"}
{"subject": "math:arxiv_96859", "predicate": "proves", "object": "recent studies have found the earth s peculiar velocity to be significant in microwave background ba"}
{"subject": "math:arxiv_96874", "predicate": "proves", "object": "we prove that , in the non - extreme kerr - newman black hole geometry , the dirac equation has no n"}
{"subject": "math:arxiv_96883", "predicate": "proves", "object": "we derive an exact equation of motion for the reduced density matrices of individual subsystems of q"}
{"subject": "math:arxiv_96888", "predicate": "proves", "object": "we report several new transformation theorems that map perfect fluid spheres into perfect fluid sphe"}
{"subject": "math:arxiv_96890", "predicate": "proves", "object": "when einstein formulated his special relativity , he developed his dynamics for point particles . \n "}
{"subject": "math:arxiv_96891", "predicate": "proves", "object": "within the framework of finite temperature field theory this paper discusses the shear viscosity of "}
{"subject": "math:arxiv_96895", "predicate": "proves", "object": "constraint languages that arise from finite algebras have recently been an object of study , especia"}
{"subject": "math:arxiv_96931", "predicate": "proves", "object": "in this letter , a modified chaplygin gas ( mcg ) model of unifying dark energy and dark matter with"}
{"subject": "math:arxiv_96945", "predicate": "proves", "object": "network topology evolves through time . \n a dynamic network model should account for both the tempor"}
{"subject": "math:arxiv_96958", "predicate": "proves", "object": "we model the growth , dispersal and mutation of two phenotypes of a species using reaction - diffusi"}
{"subject": "math:arxiv_96969", "predicate": "proves", "object": "we consider standing waves in the focusing nonlinear schrdinger ( nls ) equation on a dumbbell graph"}
{"subject": "math:arxiv_96973", "predicate": "proves", "object": "we have extended our published set of low mass agb stellar models to lower metallicity . \n different"}
{"subject": "math:arxiv_96992", "predicate": "proves", "object": "we analyze the foundations of finsler gravity theories with metric compatible connections constructe"}
{"subject": "math:arxiv_96994", "predicate": "proves", "object": "tidal and tidal - resonant effects in coalescing compact binary systems are investigated by direct n"}
{"subject": "math:arxiv_97000", "predicate": "proves", "object": "for a finite dimensional hopf algebra we show that an associated natural inclusion of infinite cross"}
{"subject": "math:arxiv_97014", "predicate": "proves", "object": "starting from the classic friedmann - robertson - walker theory with big bang it is shown that the s"}
{"subject": "math:arxiv_97022", "predicate": "proves", "object": "a benchmark is set on the three \n nucleon photodisintegration calculating the total cross section wi"}
{"subject": "math:arxiv_97032", "predicate": "proves", "object": "the recent formulation of locally covariant quantum field theory may open the way towards a backgrou"}
{"subject": "math:arxiv_97049", "predicate": "proves", "object": "spectral stability of multi - hump vector solitons in the hamiltonian system of coupled nonlinear sc"}
{"subject": "math:arxiv_97053", "predicate": "proves", "object": "we apply the real - time renormalization group ( rg ) in nonequilibrium to an arbitrary quantum dot "}
{"subject": "math:arxiv_97054", "predicate": "proves", "object": "we present three - dimensional simulations of einstein equations implementing a symmetric hyperbolic"}
{"subject": "math:arxiv_97072", "predicate": "proves", "object": "we consider finite population size effects for crow - kimura and eigen quasispecies models with sing"}
{"subject": "math:arxiv_97079", "predicate": "proves", "object": "let @xmath0 be a quadratic vector field with a center whose generic orbits are algebraic curves of g"}
{"subject": "math:arxiv_97091", "predicate": "proves", "object": "s. gersten and h. short have proved that if a group has a presentation which satisfies the algebraic"}
{"subject": "math:arxiv_97096", "predicate": "proves", "object": "we probe the feasibility of describing the structure of a multi - component axisymmetric galaxy with"}
{"subject": "math:arxiv_97101", "predicate": "proves", "object": "we investigate the kinematics of deformations in two and three dimensional media by explicitly solvi"}
{"subject": "math:arxiv_97144", "predicate": "proves", "object": "we prove that a quasiisometric map between rank one symmetric spaces is within bounded distance from"}
{"subject": "math:arxiv_97145", "predicate": "proves", "object": "light clusters are included in the equation of state of nuclear matter within the relativistic mean "}
{"subject": "math:arxiv_97154", "predicate": "proves", "object": "a theoretical study is made of conformal factors in certain types of physical theories based on clas"}
{"subject": "math:arxiv_97168", "predicate": "proves", "object": "in this paper , we present a new numerical method to solve fractional differential equations . given"}
{"subject": "math:arxiv_97183", "predicate": "proves", "object": "we investigate the extended quasi - particle states in the mixed state of @xmath0-wave superconducto"}
{"subject": "math:arxiv_97187", "predicate": "proves", "object": "it is shown that the manifold @xmath0 can be equipped with a natural nambu structure arising out of "}
{"subject": "math:arxiv_97189", "predicate": "proves", "object": "cartan s structural equations show in a compact way the relation between a connection and its curvat"}
{"subject": "math:arxiv_97218", "predicate": "proves", "object": "in this article , we study an elastic manifold in quenched disorder in the limit of zero temperature"}
{"subject": "math:arxiv_97226", "predicate": "proves", "object": "extending work of e , khanin , mazel and sinai @xcite on the one - dimensional burgers equation , we"}
{"subject": "math:arxiv_97250", "predicate": "proves", "object": "we investigate the geometric properties of the equilibrium manifold of a thermodynamic system determ"}
{"subject": "math:arxiv_97258", "predicate": "proves", "object": "_ in this short note we have given an equation based on the date 11.09.2001 and presented some magic"}
{"subject": "math:arxiv_97261", "predicate": "proves", "object": "conformal field theory on the half - space @xmath0 of minkowski space - time ( `` boundary cft '' ) "}
{"subject": "math:arxiv_97271", "predicate": "proves", "object": "we consider periodic traveling waves in fpu - type chains with superpolynomial interaction forces an"}
{"subject": "math:arxiv_97280", "predicate": "proves", "object": "what kind of new physics , if any , we expect to discover at the lhc ? \n i will try to address this "}
{"subject": "math:arxiv_97295", "predicate": "proves", "object": "a simple formula is proved to be a tight estimate for the condition number of the full rank linear l"}
{"subject": "math:arxiv_97320", "predicate": "proves", "object": "the fusion - fission process in the superheavy mass region is studied systematically by solving the "}
{"subject": "math:arxiv_97324", "predicate": "proves", "object": "a nonlinear diffusion equation , interpreted as a wasserstein gradient flow , is numerically solved "}
{"subject": "math:arxiv_97333", "predicate": "proves", "object": "new quantal states which interpolate between the coherent states of the heisenberg - weyl @xmath0 an"}
{"subject": "math:arxiv_97339", "predicate": "proves", "object": "we formulate qcd in ( d+1 ) dimensions using dirac s front form with periodic boundary conditions , "}
{"subject": "math:arxiv_97365", "predicate": "proves", "object": "we consider the follow - the - leader approximation of the aw - rascle - zhang ( arz ) model for tra"}
{"subject": "math:arxiv_97368", "predicate": "proves", "object": "it was shown many times in the literature that a markov random field is equivalent to a gibbs random"}
{"subject": "math:arxiv_97369", "predicate": "proves", "object": "in this paper continuity theorems are established for the number of losses during a busy period of t"}
{"subject": "math:arxiv_97371", "predicate": "proves", "object": "we develop an optimization  based approach to the problem of reconstructing temperature  dependent m"}
{"subject": "math:arxiv_97394", "predicate": "proves", "object": "the loop quantization of brans - dicke theory ( with coupling parameter @xmath0 ) is studied . in th"}
{"subject": "math:arxiv_97403", "predicate": "proves", "object": "we consider a scalar field model with a self - interaction potential that possesses a discrete vacuu"}
{"subject": "math:arxiv_97406", "predicate": "proves", "object": "this paper presents a hierarchical model predictive control ( mpc ) framework that is presented in @"}
{"subject": "math:arxiv_97417", "predicate": "proves", "object": "we examine phase transition of the husimi - temperley model in terms of information geometry . for t"}
{"subject": "math:arxiv_97447", "predicate": "proves", "object": "we study the low energy part of the nucleon and @xmath0 spectra by solving the schrdinger equation f"}
{"subject": "math:arxiv_97468", "predicate": "proves", "object": "the riemann hypothesis , formulated in 1859 by bernhard riemann , states that the riemann zeta funct"}
{"subject": "math:arxiv_97477", "predicate": "proves", "object": "* theorem a. * let @xmath0 be unit vectors in a normed plane . then there exist signs @xmath1 such t"}
{"subject": "math:arxiv_97484", "predicate": "proves", "object": "gravitational physics of vlbi experiment conducted on september 8 , 2002 and dedicated to measure th"}
{"subject": "math:arxiv_97488", "predicate": "proves", "object": "a proof is given that hard - scattering factorization is valid for deep - inelastic processes which "}
{"subject": "math:arxiv_97491", "predicate": "proves", "object": "in order to study the geometry of interest rates market dynamics , malliavin , mancino and recchioni"}
{"subject": "math:arxiv_97494", "predicate": "proves", "object": "we have recently developed a quantized fluctuational electrodynamics ( qfed ) formalism to describe "}
{"subject": "math:arxiv_97512", "predicate": "proves", "object": "we develop a general theory for thermal transport in anharmonic systems under the weak system - bath"}
{"subject": "math:arxiv_97519", "predicate": "proves", "object": "the dissipative and decoherence properties of the two - level atom interacting with the squeezed vac"}
{"subject": "math:arxiv_97521", "predicate": "proves", "object": "an ip - space is a pseudomanifold whose defining local properties imply that its middle perversity g"}
{"subject": "math:arxiv_97523", "predicate": "proves", "object": "i define and characterize the reweighted methods , which are techniques used in conjunction with the"}
{"subject": "math:arxiv_97563", "predicate": "proves", "object": "we present here a set of lecture notes on tomography . \n the radon transform and some of its general"}
{"subject": "math:arxiv_97565", "predicate": "proves", "object": "in this paper , we study the structure of the quantum cohomology ring of a projective hypersurface w"}
{"subject": "math:arxiv_97572", "predicate": "proves", "object": "in this paper we prove a theorem that provides an upper bound for the density of packings of congrue"}
{"subject": "math:arxiv_97573", "predicate": "proves", "object": "we derive the kuramoto - sakaguchi model from the basic circuit equations governing two coupled wien"}
{"subject": "math:arxiv_97594", "predicate": "proves", "object": "i show how to associate a clifford algebra to a graph . \n i describe the structure of these clifford"}
{"subject": "math:arxiv_97595", "predicate": "proves", "object": "let @xmath0 be a von neumann algebra equipped with a faithful semifinite normal weight @xmath1 and @"}
{"subject": "math:arxiv_97609", "predicate": "proves", "object": "we give a new , simple proof of the fact recently discovered by c .- s . \n lin and c .- l . \n wang t"}
{"subject": "math:arxiv_97645", "predicate": "proves", "object": "we apply some recent developments of baldoni - beck - cochet - vergne  @xcite on vector partition fu"}
{"subject": "math:arxiv_97656", "predicate": "proves", "object": "collapse of the rotating magnetized molecular cloud core is studied with the axisymmetric magnetohyd"}
{"subject": "math:arxiv_97662", "predicate": "proves", "object": "we systematically study the tidal deformability for neutron and hyperon stars using relativistic mea"}
{"subject": "math:arxiv_97665", "predicate": "proves", "object": "we prove a theorem that shows that a collection of experimental data of membership weights of items "}
{"subject": "math:arxiv_97667", "predicate": "proves", "object": "the electron and the positron treated as point particles in the two body dirac equations of constrai"}
{"subject": "math:arxiv_97679", "predicate": "proves", "object": "recently , a new class of second order runge - kutta methods for it stochastic differential equation"}
{"subject": "math:arxiv_97686", "predicate": "proves", "object": "new solar models are presented , which have been computed with the most recent physical inputs ( nuc"}
{"subject": "math:arxiv_97718", "predicate": "proves", "object": "we propose to use quantum coherence as ultimate proof of quantum nature in the radiation that appear"}
{"subject": "math:arxiv_97732", "predicate": "proves", "object": "we investigate the fate of particle production in an expanding universe dominated by a perfect fluid"}
{"subject": "math:arxiv_97740", "predicate": "proves", "object": "a conjecture arising naturally in the investigation of additivity of classical information capacity "}
{"subject": "math:arxiv_97760", "predicate": "proves", "object": "covariant vectors , lyapunov vectors , or oseledets vectors are increasingly being used for a variet"}
{"subject": "math:arxiv_97765", "predicate": "proves", "object": "in this paper we study the regular self - gravitating t hooft - polyakov magnetic monopole in a glob"}
{"subject": "math:arxiv_97773", "predicate": "proves", "object": "we obtain the equations of motion for a ferromagnetic bose condensate of arbitrary spin in the long "}
{"subject": "math:arxiv_97774", "predicate": "proves", "object": "a central limit theorem for the integrated squared error of the directional - linear kernel density "}
{"subject": "math:arxiv_97775", "predicate": "proves", "object": "we derive the tba system of equations from the s - matrix describing integrable massive perturbation"}
{"subject": "math:arxiv_97788", "predicate": "proves", "object": "we study the tunneling through an oscillating delta barrier . using time periodicity of the model , "}
{"subject": "math:arxiv_97794", "predicate": "proves", "object": "we present an overview of microscopical calculations of the equation of state ( eos ) of neutron mat"}
{"subject": "math:arxiv_97801", "predicate": "proves", "object": "bipartite , periodic , planar graphs known as _ brane tilings _ can be associated to a large class o"}
{"subject": "math:arxiv_97807", "predicate": "proves", "object": "the manuscript presents a theoretical proof in conglomeration with new definitions on _ inaccessibil"}
{"subject": "math:arxiv_97850", "predicate": "proves", "object": "an integrable quantum spin ladder based on the su(4 ) symmetry algebra with boundary defects is stud"}
{"subject": "math:arxiv_97863", "predicate": "proves", "object": "stochastic density functional theory is applied to analyze the conductivity of strong two species el"}
{"subject": "math:arxiv_97872", "predicate": "proves", "object": "in 1841 , ferdinand minding published _ ueber die bestimmung des grades einer durch elimination herv"}
{"subject": "math:arxiv_97874", "predicate": "proves", "object": "we introduce the notion of an ` inverse property ' ( ip ) quandle @xmath0 which we propose as the ri"}
{"subject": "math:arxiv_97876", "predicate": "proves", "object": "the level crossing problem is neatly formulated by the second quantized formulation , which exhibits"}
{"subject": "math:arxiv_97883", "predicate": "proves", "object": "we propose a general one - dimensional _ continuous _ formulation to analyze the vibrational modes o"}
{"subject": "math:arxiv_97901", "predicate": "proves", "object": "we study the multi - species replicator model with linear fitness and random fitness matrices of var"}
{"subject": "math:arxiv_97903", "predicate": "proves", "object": "given a compact complex manifold @xmath0 of dimension @xmath1 , we define a bimeromorphic invariant "}
{"subject": "math:arxiv_97910", "predicate": "proves", "object": "with a view of applications to the simulations of supernova explosion and proto neutron star cooling"}
{"subject": "math:arxiv_97912", "predicate": "proves", "object": "we propose a relativistic model of hybrid star admitting conformal symmetry considering quark matter"}
{"subject": "math:arxiv_97917", "predicate": "proves", "object": "we present a new method to solve in a semianalytical way the dokshitzer - gribov - lipatov - altarel"}
{"subject": "math:arxiv_97929", "predicate": "proves", "object": "this is part one of our study of models of jets with distributed electron acceleration . \n we presen"}
{"subject": "math:arxiv_97933", "predicate": "proves", "object": "using multiple stochastic integrals and the malliavin calculus , we analyze the asymptotic behavior "}
{"subject": "math:arxiv_97938", "predicate": "proves", "object": "a class of one dimensional classical systems is characterized from an algebraic point of view . \n th"}
{"subject": "math:arxiv_97948", "predicate": "proves", "object": "in this paper we show the small data solvability of suitable semilinear wave and klein - gordon equa"}
{"subject": "math:arxiv_97957", "predicate": "proves", "object": "in this work we will examine how a given quantum state can appear to be either entangled or separabl"}
{"subject": "math:arxiv_97961", "predicate": "proves", "object": "we make explicit a triple crystal structure on higher level fock spaces , by investigating at the co"}
{"subject": "math:arxiv_98001", "predicate": "proves", "object": "a relativistic helicity has been formulated in the four - dimensional minkowski space - time . where"}
{"subject": "math:arxiv_98013", "predicate": "proves", "object": "the scaled - particle theory equation of state for the two - dimensional hard - disk fluid on a curv"}
{"subject": "math:arxiv_98035", "predicate": "proves", "object": "we report on some advances made in the problem of singularities in general relativity . \n first is i"}
{"subject": "math:arxiv_98051", "predicate": "proves", "object": "we provide an analytic solution to the coupled - mode equations describing the steady - state of a s"}
{"subject": "math:arxiv_98064", "predicate": "proves", "object": "we provide a new probabilistic proof of the connection between rost s solution of the skorokhod embe"}
{"subject": "math:arxiv_98071", "predicate": "proves", "object": "the aim of this paper is to prove the weight - monodromy conjecture ( deligne s conjecture on the pu"}
{"subject": "math:arxiv_98073", "predicate": "proves", "object": "in @xcite h. furusho proves the beautiful result that of the three defining equations for associator"}
{"subject": "math:arxiv_98074", "predicate": "proves", "object": "we present a scheme for numerical simulations of collisionless self - gravitating systems which dire"}
{"subject": "math:arxiv_98081", "predicate": "proves", "object": "we present a representative set of analytic stationary state solutions of the nonlinear schrdinger e"}
{"subject": "math:arxiv_98085", "predicate": "proves", "object": "this paper deals with random perturbations of diffeomorphisms on @xmath0 dimensional riemannian mani"}
{"subject": "math:arxiv_98115", "predicate": "proves", "object": "we discuss the existence of asymptotically euclidean initial data sets to the vacuum einstein field "}
{"subject": "math:arxiv_98133", "predicate": "proves", "object": "we show that the problem of constructing a real rational knot of a reasonably low degree can be redu"}
{"subject": "math:arxiv_98134", "predicate": "proves", "object": "i summarize the basic ideas and formalism of loop quantum gravity . \n i illustrate the results on th"}
{"subject": "math:arxiv_98146", "predicate": "proves", "object": "we give a principled approach for the selection of a boundary integral , retarded potential represen"}
{"subject": "math:arxiv_98164", "predicate": "proves", "object": "the van der waals ( vdw ) equation of state predicts the existence of a first - order liquid - gas p"}
{"subject": "math:arxiv_98167", "predicate": "proves", "object": "we observed comet 2p / encke with the _ infrared space observatory _ \n isocam on july 14 , 1997 from"}
{"subject": "math:arxiv_98182", "predicate": "proves", "object": "dynamical algebra notion of quantum degrees of freedom is utilized to study the relation between qua"}
{"subject": "math:arxiv_98183", "predicate": "proves", "object": "we investigate the finite temperature expectation values of the charge and current densities for a m"}
{"subject": "math:arxiv_98193", "predicate": "proves", "object": "cut ideals are used in algebraic statistics to study statistical models defined by graphs . \n intuit"}
{"subject": "math:arxiv_98203", "predicate": "proves", "object": "a boolean network model of the cell - cycle regulatory network of fission yeast ( _ schizosaccharomy"}
{"subject": "math:arxiv_98222", "predicate": "proves", "object": "the erds  gallai theorem states that for @xmath0 every graph on @xmath1 vertices with more than @xma"}
{"subject": "math:arxiv_98225", "predicate": "proves", "object": "we study genus 2 function fields with elliptic subfields of degree 2 . \n the locus @xmath0 of these "}
{"subject": "math:arxiv_98227", "predicate": "proves", "object": "we determine the lie point symmetries of the schrdinger and the klein gordon equations in a general "}
{"subject": "math:arxiv_98233", "predicate": "proves", "object": "in this paper , we prove the evans - krylov theorem for nonlocal parabolic fully nonlinear equations"}
{"subject": "math:arxiv_98245", "predicate": "proves", "object": "the spatially conformally flat approximation ( cfa ) is a viable method to deduce initial conditions"}
{"subject": "math:arxiv_98260", "predicate": "proves", "object": "some 25 years ago valiant introduced an algebraic model of computation in order to study the complex"}
{"subject": "math:arxiv_98292", "predicate": "proves", "object": "we consider the equation of the jeffreys type as the basic one in three different models of mass tra"}
{"subject": "math:arxiv_98309", "predicate": "proves", "object": "weighted model counting ( wmc ) is a well - known inference task on knowledge bases , used for proba"}
{"subject": "math:arxiv_98313", "predicate": "proves", "object": "we propose two methods that enable us to obtain approximate solutions of the lens equation near a fo"}
{"subject": "math:arxiv_98339", "predicate": "proves", "object": "* abstract . \n * homogenization of integral functionals is studied under the constraint that admissi"}
{"subject": "math:arxiv_98379", "predicate": "proves", "object": "waves with different symmetries exist in two - component bose - einstein condensates ( becs ) whose "}
{"subject": "math:arxiv_98381", "predicate": "proves", "object": "we have studied topology of the distribution of the high redshift galaxies identified in the hubble "}
{"subject": "math:arxiv_98398", "predicate": "proves", "object": "we propose a method for the construction of preconditioners of parameter - dependent matrices for th"}
{"subject": "math:arxiv_98402", "predicate": "proves", "object": "we present a new method of conducting fully - flexible - cell molecular dynamics simulation in isoth"}
{"subject": "math:arxiv_98403", "predicate": "proves", "object": "we critically review the use of the exact renormalization group equations ( erge ) in the framework "}
{"subject": "math:arxiv_98415", "predicate": "proves", "object": "kerr  schild solutions to the vacuum einstein equations are considered from the viewpoint of integra"}
{"subject": "math:arxiv_98455", "predicate": "proves", "object": "all stationary solutions to the one - dimensional nonlinear schrdinger equation under box and period"}
{"subject": "math:arxiv_98473", "predicate": "proves", "object": "we reconstruct a @xmath0 modified teleparallel gravity model corresponding to the ghost dark energy "}
{"subject": "math:arxiv_98475", "predicate": "proves", "object": "lie symmetry group method is applied to study the born - infeld equation . \n the symmetry group and "}
{"subject": "math:arxiv_98484", "predicate": "proves", "object": "in this paper , we derive optimal upper and lower bounds on the dimension of the attractor @xmath0  "}
{"subject": "math:arxiv_98497", "predicate": "proves", "object": "* abstract . * maxwell s equation , dirac s equation and the equation of gravito - electromagnetism "}
{"subject": "math:arxiv_98526", "predicate": "proves", "object": "the recent @xmath0 data can be described using the dglap evolution equations with an appropriate cho"}
{"subject": "math:arxiv_98527", "predicate": "proves", "object": "dissipative electromagnetic response and scattering geometry are potential sources for the appearanc"}
{"subject": "math:arxiv_98547", "predicate": "proves", "object": "a self - dual harmonic 2form on a 4dimensional riemannian manifold is symplectic where it does not v"}
{"subject": "math:arxiv_98552", "predicate": "proves", "object": "we develop a unified model of hadrons and quarks . within this approach \n we investigate the phase s"}
{"subject": "math:arxiv_98561", "predicate": "proves", "object": "quark matter is expected to exist in the interior of compact stellar objects as neutron stars or eve"}
{"subject": "math:arxiv_98572", "predicate": "proves", "object": "we have developed a new hfb code that specifically addresses nuclear structure physics near the drip"}
{"subject": "math:arxiv_98590", "predicate": "proves", "object": "we report results from a systematic study of x - ray emission from black hole transients in quiescen"}
{"subject": "math:arxiv_98598", "predicate": "proves", "object": "_ this paper has been accepted for publication in chaos ( 2016 ) . _ \n an integrable system of two -"}
{"subject": "math:arxiv_98616", "predicate": "proves", "object": "stationary , supersymmetric supergravity solutions in five dimensions have khler metrics on the four"}
{"subject": "math:arxiv_98640", "predicate": "proves", "object": "this is a report on recent progress concerning the interactions between derived algebraic geometry a"}
{"subject": "math:arxiv_98654", "predicate": "proves", "object": "we study the closed extensions ( realizations ) of differential operators subject to homogeneous bou"}
{"subject": "math:arxiv_98671", "predicate": "proves", "object": "we study the propagation properties of nonnegative and bounded solutions of the class of reaction - "}
{"subject": "math:arxiv_98672", "predicate": "proves", "object": "we study the relation between the periodic benjamin - ono equation with discrete laplacian and the t"}
{"subject": "math:arxiv_98701", "predicate": "proves", "object": "we study the removable singularities for solutions to the beltrami equation @xmath0 , assuming that "}
{"subject": "math:arxiv_98708", "predicate": "proves", "object": "a new numerical scheme to solve the einstein field equations based upon the generalized harmonic dec"}
{"subject": "math:arxiv_98776", "predicate": "proves", "object": "in a two - stage repeated classical game of prisoners dilemma the knowledge that both players will d"}
{"subject": "math:arxiv_98798", "predicate": "proves", "object": "we consider the system @xmath0 of differential equations annihilating appell s hypergeometric series"}
{"subject": "math:arxiv_98809", "predicate": "proves", "object": "we present some observations on the asymptotic behaviour of the coefficients in the laurent series e"}
{"subject": "math:arxiv_98811", "predicate": "proves", "object": "we introduce a new tool to study the spectral type of rank one transformations using the method of c"}
{"subject": "math:arxiv_98827", "predicate": "proves", "object": "we study the deterministic and stochastic rotational dynamics of ferromagnetic nanoparticles in a pr"}
{"subject": "math:arxiv_98828", "predicate": "proves", "object": "in the past decade there has been a flurry of activity at the intersection of spectral theory and sy"}
{"subject": "math:arxiv_98831", "predicate": "proves", "object": "the compatibility of the fast tachocline scenario with a flux transport dynamo model is explored . \n"}
{"subject": "math:arxiv_98833", "predicate": "proves", "object": "cascading failures are one of the main reasons for blackouts in power transmission grids . the topol"}
{"subject": "math:arxiv_98854", "predicate": "proves", "object": "we introduce a model of binary data corruption induced by a brownian agent ( active random walker ) "}
{"subject": "math:arxiv_98859", "predicate": "proves", "object": "network topology plays a key role in many phenomena , from the spreading of diseases to that of fina"}
{"subject": "math:arxiv_98862", "predicate": "proves", "object": "we explore the effective long - range interaction of charged particles confined to a curved low - di"}
{"subject": "math:arxiv_98880", "predicate": "proves", "object": "we consider a skyrme fluid with a constant radial profile in locally rotational kantowski - sachs sp"}
{"subject": "math:arxiv_98886", "predicate": "proves", "object": "in this paper we present a novel approach to the construction of new finite algebras and describe th"}
{"subject": "math:arxiv_98919", "predicate": "proves", "object": "the fully variational hartree fock bogoliubov approach for bosons is studied in the limit of zero ra"}
{"subject": "math:arxiv_98925", "predicate": "proves", "object": "we review a variety of theoretical and experimental investigations aimed at improving our knowledge "}
{"subject": "math:arxiv_98930", "predicate": "proves", "object": "in the framework of the method of constraint system quantization , a quantum gravitational system ( "}
{"subject": "math:arxiv_98935", "predicate": "proves", "object": "the spectrum of the dirac hamiltonian in the background of crossing vortices is studied . to exploit"}
{"subject": "math:arxiv_98961", "predicate": "proves", "object": "in this work , we present the hitherto most efficient and accurate method for the numerical integrat"}
{"subject": "math:arxiv_98973", "predicate": "proves", "object": "the aim of this work is to describe the electronic properties of graphene in a constant magnetic fie"}
{"subject": "math:arxiv_98987", "predicate": "proves", "object": "we prove a complexity dichotomy theorem for holant problems on @xmath0-regular graphs with an arbitr"}
{"subject": "math:arxiv_99020", "predicate": "proves", "object": "we study time - like hypersurfaces with vanishing mean curvature in the @xmath0 dimensional minkowsk"}
{"subject": "math:arxiv_99026", "predicate": "proves", "object": "we describe a finite - volume method for solving the poisson equation on oct - tree adaptive meshes "}
{"subject": "math:arxiv_99038", "predicate": "proves", "object": "we study the phase space geometry associated with index 2 saddles of a potential energy surface and "}
{"subject": "math:arxiv_99047", "predicate": "proves", "object": "a novel dynamical model for the study of operational risk in banks and suitable for the calculation "}
{"subject": "math:arxiv_99052", "predicate": "proves", "object": "the security proofs of continuous - variable quantum key distribution are based on the assumptions t"}
{"subject": "math:arxiv_99060", "predicate": "proves", "object": "given a basic compact semi - algebraic set @xmath0 , we introduce a methodology that generates a seq"}
{"subject": "math:arxiv_99068", "predicate": "proves", "object": "we present a relativistic formulation of pion loop corrections to the coupling of photons with nucle"}
{"subject": "math:arxiv_99085", "predicate": "proves", "object": "in this paper , we have studied the new exact model of anisotropic star in @xmath0 theory of gravity"}
{"subject": "math:arxiv_99089", "predicate": "proves", "object": "a dual formulation for the problem of determining absolute performance limitations on overshoot , un"}
{"subject": "math:arxiv_99097", "predicate": "proves", "object": "we summarize the theoretical approach to the solution of the nnlo dglap equations using methods base"}
{"subject": "math:arxiv_99118", "predicate": "proves", "object": "in order to model pressure and viscous terms in the equation for the lagrangian dynamics of the velo"}
{"subject": "math:arxiv_99122", "predicate": "proves", "object": "the problem of membrane topology in the matrix model of m - theory is considered . \n the matrix regu"}
{"subject": "math:arxiv_99134", "predicate": "proves", "object": "we give a structural description of the class  @xmath0 of graphs that do not contain a cycle with a "}
{"subject": "math:arxiv_99143", "predicate": "proves", "object": "traditionally , the diffraction of a scalar wave satisfying helmholtz equation through an aperture o"}
{"subject": "math:arxiv_99167", "predicate": "proves", "object": "we review some results obtained by us and others concerning the structure of higher order perturbati"}
{"subject": "math:arxiv_99207", "predicate": "proves", "object": "in this paper , we study the following initial boundary value problem for a generalized camassa - ho"}
{"subject": "math:arxiv_99208", "predicate": "proves", "object": "time series defined by a @xmath0-adic pseudo - differential equation is investigated using the expan"}
{"subject": "math:arxiv_99209", "predicate": "proves", "object": "suppose that @xmath0 is a @xmath1-dimensional oriented riemannian manifold , and let @xmath2 be a si"}
{"subject": "math:arxiv_99217", "predicate": "proves", "object": "we define geometric axioms for the metric and the connection of a spacetime where the gravitational "}
{"subject": "math:arxiv_99232", "predicate": "proves", "object": "a molecular dynamics ( md ) parallel to the control volume ( cv ) formulation of fluid mechanics is "}
{"subject": "math:arxiv_99264", "predicate": "proves", "object": "in the present paper we discuss the general facts concerning the schlesinger system : the @xmath0-fu"}
{"subject": "math:arxiv_99283", "predicate": "proves", "object": "it is well - known that in four dimensions , black hole solution of the brans - dikce - maxwell equa"}
{"subject": "math:arxiv_99289", "predicate": "proves", "object": "inspired by aldous conjecture for the spectral gap of the interchange process and its recent resolut"}
{"subject": "math:arxiv_99290", "predicate": "proves", "object": "the spatial prisoner s dilemma is a prototype model to show the emergence of cooperation in very com"}
{"subject": "math:arxiv_99299", "predicate": "proves", "object": "in this paper , we construct a generalized darboux transformation for nonlinear schrdinger equation "}
{"subject": "math:arxiv_99309", "predicate": "proves", "object": "an explicit numerical scheme is proposed for solving the initial - boundary value problem for the ra"}
{"subject": "math:arxiv_99319", "predicate": "proves", "object": "we investigate a u(1 ) lattice chiral gauge theory ( @xmath0 ) with the waveguide formulation of the"}
{"subject": "math:arxiv_99333", "predicate": "proves", "object": "we give a short and basic introduction to our covariant dyson - schwinger - bethe - salpeter - equat"}
{"subject": "math:arxiv_99371", "predicate": "proves", "object": "we describe a generalization of a result of boshernitzan and carroll : an extension of lagrange s th"}
{"subject": "math:arxiv_99376", "predicate": "proves", "object": "in this talk we present the latest results from our ongoing project on geometro - thermodynamics ( a"}
{"subject": "math:arxiv_99393", "predicate": "proves", "object": "this paper proves the uniqueness of measure for the two - dimensional navier - stokes equations unde"}
{"subject": "math:arxiv_99395", "predicate": "proves", "object": "the role of turbulence in current generation and self - excitation of magnetic fields has been studi"}
{"subject": "math:arxiv_99400", "predicate": "proves", "object": "jacobson s thermodynamic derivation of the einstein equations was originally applied only to local r"}
{"subject": "math:arxiv_99403", "predicate": "proves", "object": "tank - treading , tumbling and trembling are different types of the vesicle behavior in an external "}
{"subject": "math:arxiv_99406", "predicate": "proves", "object": "an @xmath0 cobweb network consists of @xmath1 radial lines emanating from a center and connected by "}
{"subject": "math:arxiv_99432", "predicate": "proves", "object": "the coefficients in the confluent hypergeometric equation specify the regge trajectories and the deg"}
{"subject": "math:arxiv_99447", "predicate": "proves", "object": "we calculate next - to - leading - order ( nlo ) corrections to the @xmath0 transition form factors "}
{"subject": "math:arxiv_99462", "predicate": "proves", "object": "starting from the wigner - moyal equation coupled to poisson s equation , a simplified set of equati"}
{"subject": "math:arxiv_99472", "predicate": "proves", "object": "the canonical function method ( cfm ) is a powerful method that solves the radial schrdinger equatio"}
{"subject": "math:arxiv_99484", "predicate": "proves", "object": "a review of the treatment of boundaries in general relativity is presented with the emphasis on appl"}
{"subject": "math:arxiv_99486", "predicate": "proves", "object": "we consider algebraic delone sets @xmath0 in the euclidean plane and address the problem of distingu"}
{"subject": "math:arxiv_99488", "predicate": "proves", "object": "three solutions of the brans - dicke theory with a self - interacting quartic potential and perfect "}
{"subject": "math:arxiv_99506", "predicate": "proves", "object": "we derive and study a simple 1d nonlinear model for edge localized mode ( elm ) cycles . \n the nonli"}
{"subject": "math:arxiv_99558", "predicate": "proves", "object": "the geometric and algebraic theory of valuations on cones is applied to understand identities involv"}
{"subject": "math:arxiv_99561", "predicate": "proves", "object": "in this paper , we study @xmath0 gravity by hu  sawicki model in friedmann  lematre \n robertson  wal"}
{"subject": "math:arxiv_99577", "predicate": "proves", "object": "we design a numerical scheme for solving a dynamic programming equation with malliavin weights arisi"}
{"subject": "math:arxiv_99584", "predicate": "proves", "object": "in this paper , we presents a characterization of compact subsets of the fuzzy number space equipped"}
{"subject": "math:arxiv_99594", "predicate": "proves", "object": "in this note we show that the lagrangian luttinger surgery preserves the symplectic kodaira dimensio"}
{"subject": "math:arxiv_99599", "predicate": "proves", "object": "we consider difference equations with several non - monotone deviating arguments and nonnegative coe"}
{"subject": "math:arxiv_99644", "predicate": "proves", "object": "we present three - dimensional mhd simulations of buoyant magnetic flux tubes that rise through a st"}
{"subject": "math:arxiv_99649", "predicate": "proves", "object": "even though the drell - yan - west formulation is the most rigorous and well - established framework"}
{"subject": "math:arxiv_99658", "predicate": "proves", "object": "a constant antisymmetric 2-tensor can arise in general relativity with spontaneous symmetry breaking"}
{"subject": "math:arxiv_99674", "predicate": "proves", "object": "this is an introduction into the problem of how to set up black hole initial - data for the matter -"}
{"subject": "math:arxiv_99680", "predicate": "proves", "object": "in this paper we prove the dichotomy conjecture on the complexity of nonuniform constraint satisfact"}
{"subject": "math:arxiv_99691", "predicate": "proves", "object": "we present a novel representation of the lorentz group , the geometric version of which uses `` reve"}
{"subject": "math:arxiv_99701", "predicate": "proves", "object": "we present non - linear transport measurements on suspended , current annealed bilayer graphene devi"}
{"subject": "math:arxiv_99707", "predicate": "proves", "object": "the problem of identifying the diffusion parameter appearing in a nonlocal steady diffusion equation"}
{"subject": "math:arxiv_99718", "predicate": "proves", "object": "let @xmath0 be a semisimple algebraic group with lie algebra @xmath1 . in 1979 , j.  dixmier proved "}
{"subject": "math:arxiv_99736", "predicate": "proves", "object": "we discuss the first step in the moduli stabilization program a la kklt for a general class of resol"}
{"subject": "math:arxiv_99767", "predicate": "proves", "object": "we consider the following exponential reaction - diffusion equation involving a nonlinear gradient t"}
{"subject": "math:arxiv_99769", "predicate": "proves", "object": "we present two new accurate and efficient method to compute the formal solution of the polarized rad"}
{"subject": "math:arxiv_99786", "predicate": "proves", "object": "maximum likelihood estimation is a fundamental optimization problem in statistics . \n we study this "}
{"subject": "math:arxiv_99798", "predicate": "proves", "object": "in this paper , we study the dynamical instability of gaseous sphere under radial oscillations appro"}
{"subject": "math:arxiv_99816", "predicate": "proves", "object": "this paper is an overview of our works which are related to investigations of the integrability of n"}
{"subject": "math:arxiv_99834", "predicate": "proves", "object": "we define the notion of _ sub - finsler geometry _ as a natural generalization of sub - riemannian g"}
{"subject": "math:arxiv_99839", "predicate": "proves", "object": "we study a recently proposed formulation of overlap fermions at finite density . \n in particular we "}
{"subject": "math:arxiv_99851", "predicate": "proves", "object": "a model of a free electron laser operating with an elliptically polarised undulator is presented . \n"}
{"subject": "math:arxiv_99872", "predicate": "proves", "object": "we consider the one - dimensional vlasov equation with an attractive cosine potential , and its non "}
{"subject": "math:arxiv_99877", "predicate": "proves", "object": "we give necessary conditions for certain real analytic tube generic submanifolds in @xmath0 to be lo"}
{"subject": "math:arxiv_99920", "predicate": "proves", "object": "we consider the canonical action of the compact torus @xmath0 on the grassmann manifold @xmath1 and "}
{"subject": "math:arxiv_99930", "predicate": "proves", "object": "using elementary duality properties of positive semidefinite moment matrices and polynomial sum - of"}
{"subject": "math:arxiv_99941", "predicate": "proves", "object": "the two - dimensional backward fokker - planck equation is used to calculate the mean first - passag"}
{"subject": "math:arxiv_99963", "predicate": "proves", "object": "we model the non - linear ideal magnetohydrodynamics of poloidal magnetic fields in neutron stars in"}
{"subject": "math:arxiv_99965", "predicate": "proves", "object": "we re - derive the quantum master equation for the decoherence of a massive brownian particle due to"}
{"subject": "math:arxiv_99984", "predicate": "proves", "object": "the hikami - larkin - nagaoka ( hln ) formula [ prog . \n theor . phys . * \n 63 * , 707 ( 1980 ) ] de"}
{"subject": "math:arxiv_100007", "predicate": "proves", "object": "in perturbative consideration of the yang  mills gradient flow , it is useful to introduce a gauge n"}
{"subject": "math:arxiv_100024", "predicate": "proves", "object": "in the previous two papers , namely , @xcite and @xcite we solved the polarized radiative transfer ("}
{"subject": "math:arxiv_100036", "predicate": "proves", "object": "we study the space - time correlation and response functions in nonequilibrium growth processes desc"}
{"subject": "math:arxiv_100062", "predicate": "proves", "object": "we prove a half - space theorem for an ideal scherk graph @xmath0 over a polygonal domain @xmath1 wh"}
{"subject": "math:arxiv_100070", "predicate": "proves", "object": "due to the experimental necessity we present a formula to determine the absorption strength by power"}
{"subject": "math:arxiv_100078", "predicate": "proves", "object": "let  @xmath0 be a rational nonsingular compact connected real algebraic surface . denote by  @xmath1"}
{"subject": "math:arxiv_100083", "predicate": "proves", "object": "coupled complex ginzburg - landau equations describe generic features of the dynamics of coupled fie"}
{"subject": "math:arxiv_100088", "predicate": "proves", "object": "we study the evolution of higher - order nonclassicality and entanglement criteria in atmospheric fl"}
{"subject": "math:arxiv_100099", "predicate": "proves", "object": "we study the existence of monotone heteroclinic traveling waves for a general fisher - burgers equat"}
{"subject": "math:arxiv_100106", "predicate": "proves", "object": "the goal of this work is to study the electromagnetic scattering problem of time - domain maxwell s "}
{"subject": "math:arxiv_100111", "predicate": "proves", "object": "in this paper we construct a family of simply connected spin non - complex symplectic @xmath0-manifo"}
{"subject": "math:arxiv_100127", "predicate": "proves", "object": "we study the klein - gordon equation for a massive scalar field in kerr spacetime in the time - doma"}
{"subject": "math:arxiv_100151", "predicate": "proves", "object": "on every compact and orientable three - manifold , we construct total foliations ( three codimension"}
{"subject": "math:arxiv_100182", "predicate": "proves", "object": "it is known that optical - lattice ( ol ) potentials can stabilize solitons and solitary vortices ag"}
{"subject": "math:arxiv_100201", "predicate": "proves", "object": "in the present paper we give the full description of the lie nilpotent group algebras which have max"}
{"subject": "math:arxiv_100212", "predicate": "proves", "object": "we consider the lematre - tolman - bondi metric with an inhomogeneous viscous fluid source satisfyin"}
{"subject": "math:arxiv_100222", "predicate": "proves", "object": "in this paper , we study the graph polynomial that records spanning rooted forests @xmath0 of a give"}
{"subject": "math:arxiv_100229", "predicate": "proves", "object": "this article shows how to use calculus to find the center of mass of a soft , vertically suspended ,"}
{"subject": "math:arxiv_100245", "predicate": "proves", "object": "in this paper we prove a formula for fusion coefficients of affine kac - moody algebras first conjec"}
{"subject": "math:arxiv_100253", "predicate": "proves", "object": "a nonrelativistic equation for the system of two interacting particles within the framework of a mod"}
{"subject": "math:arxiv_100256", "predicate": "proves", "object": "a cranked shell model approach for the description of rotational bands in @xmath0 nuclei is formulat"}
{"subject": "math:arxiv_100271", "predicate": "proves", "object": "the goal of this paper is to survey the history , development and current status of the return times"}
{"subject": "math:arxiv_100272", "predicate": "proves", "object": "` categorification ' is the process of replacing equations by isomorphisms . \n we describe some of t"}
{"subject": "math:arxiv_100274", "predicate": "proves", "object": "the topology of the observable universe is not yet known . \n the most significant observational sign"}
{"subject": "math:arxiv_100283", "predicate": "proves", "object": "we study the small oscillations regime ( rpa approximation ) of the time - dependent mean - field eq"}
{"subject": "math:arxiv_100285", "predicate": "proves", "object": "with this paper we begin an investigation of difference schemes that possess darboux transformations"}
{"subject": "math:arxiv_100286", "predicate": "proves", "object": "the equations of motion of vortex sources ( examined earlier by fridman and polubarinova ) are studi"}
{"subject": "math:arxiv_100288", "predicate": "proves", "object": "a solution of the nonlinear klein - gordon equation perturbed by a parametric driver is studied . \n "}
{"subject": "math:arxiv_100293", "predicate": "proves", "object": "the equations for a yang - mills field in a medium are derived in the approximation of linear respon"}
{"subject": "math:arxiv_100294", "predicate": "proves", "object": "on prsente une conjecture de type de serre sur la modularit dune reprsentation galoisienne modulo  @"}
{"subject": "math:arxiv_100300", "predicate": "proves", "object": "we suggest a simple fitting formula to represent comptonized x- and @xmath0-ray spectra from a hot ("}
{"subject": "math:arxiv_100303", "predicate": "proves", "object": "we show that the fibered isomorphism conjecture ( fic ) of farrell and jones corresponding to the st"}
{"subject": "math:arxiv_100305", "predicate": "proves", "object": "recently , it has been shown that it is possible to reconstruct the projected mass distribution of a"}
{"subject": "math:arxiv_100307", "predicate": "proves", "object": "using resolutions of singularities introduced by cortez and a method for calculating kazhdan - luszt"}
{"subject": "math:arxiv_100312", "predicate": "proves", "object": "a collection of modern , field - theoretical equations of state is applied to the investigation of c"}
{"subject": "math:arxiv_100323", "predicate": "proves", "object": "a classic theorem of dirac from 1952 states that every graph with minimum degree at least @xmath0 co"}
{"subject": "math:arxiv_100325", "predicate": "proves", "object": "approximate solutions of the gross - pitaevskii ( gp ) equation , obtained upon neglection of the ki"}
{"subject": "math:arxiv_100350", "predicate": "proves", "object": "we solve the field equations of modified gravity for @xmath0 model in metric formalism . \n further ,"}
{"subject": "math:arxiv_100362", "predicate": "proves", "object": "using the axially - symmetric time - dependent gross - pitaevskii equation we study the josephson os"}
{"subject": "math:arxiv_100384", "predicate": "proves", "object": "traversable wormholes have traditionally been viewed as intrinsically topological entities in some m"}
{"subject": "math:arxiv_100396", "predicate": "proves", "object": "using the su(2 ) lattice qcd , we formulate the dual wilson loop and study the dual higgs mechanism "}
{"subject": "math:arxiv_100411", "predicate": "proves", "object": "each loop @xmath0 in the group @xmath1 of hamiltonian diffeomorphisms of a symplectic manifold @xmat"}
{"subject": "math:arxiv_100422", "predicate": "proves", "object": "let @xmath0 be any @xmath1 dimensional smooth manifold and @xmath2 be the space of all smooth paths "}
{"subject": "math:arxiv_100448", "predicate": "proves", "object": "we extend the study of a model of competitive cluster growth in an active medium from a regular topo"}
{"subject": "math:arxiv_100450", "predicate": "proves", "object": "the idea is considered that a classical non - abelian gauge field can be considered as a dark matter"}
{"subject": "math:arxiv_100458", "predicate": "proves", "object": "in this paper we consider discrete gradient methods for approximating the solution and preserving a "}
{"subject": "math:arxiv_100489", "predicate": "proves", "object": "we discuss a projector monte carlo method for quantum spin models formulated in the valence bond bas"}
{"subject": "math:arxiv_100491", "predicate": "proves", "object": "we compute the riemannian volume of the moduli space of flat connections on a nonorientable 2-manifo"}
{"subject": "math:arxiv_100506", "predicate": "proves", "object": "in this paper the equation of forced van der pol generalized oscillator is examined with renormaliza"}
{"subject": "math:arxiv_100511", "predicate": "proves", "object": "a generalized self - consistent field approach for polymer networks with fixed topology is developed"}
{"subject": "math:arxiv_100517", "predicate": "proves", "object": "we investigate the effect of non - paraxiality in the dynamics of dispersive shock waves in the defo"}
{"subject": "math:arxiv_100519", "predicate": "proves", "object": "exact solutions of the einstein field equations with cosmic string and space varying cosmological co"}
{"subject": "math:arxiv_100527", "predicate": "proves", "object": "we study a functional equation whose unknown maps a euclidean space into the space of probability di"}
{"subject": "math:arxiv_100532", "predicate": "proves", "object": "the class of stochastic runge  kutta methods for stochastic differential equations due to rler is co"}
{"subject": "math:arxiv_100545", "predicate": "proves", "object": "we report the consequences of implementing momentum dependent interactions ( mdi ) on multifragmenta"}
{"subject": "math:arxiv_100551", "predicate": "proves", "object": "by numerical and variational solution of the gross - pitaevskii equation , we studied the localizati"}
{"subject": "math:arxiv_100552", "predicate": "proves", "object": "for a given lovelock order @xmath0 , it turns out that static fluid solutions of the pure lovelock e"}
{"subject": "math:arxiv_100557", "predicate": "proves", "object": "we extend earlier work [ phys . \n rev .  lett . \n * 84 * , 3740 ( 2000 ) ] on the statistical mechan"}
{"subject": "math:arxiv_100570", "predicate": "proves", "object": "in this paper we perform a nonperturbative analysis of a thermal quasifermion in thermal qcd / qed b"}
{"subject": "math:arxiv_100572", "predicate": "proves", "object": "we establish a generalization of the maharam extension theorem to nonsingular @xmath0-actions . \n we"}
{"subject": "math:arxiv_100574", "predicate": "proves", "object": "we discuss magnetic schrdinger operators perturbed by measures from the generalized kato class . usi"}
{"subject": "math:arxiv_100579", "predicate": "proves", "object": "scalar field self - force effects on a scalar charge orbiting a reissner - nordstrm black hole are i"}
{"subject": "math:arxiv_100612", "predicate": "proves", "object": "we discuss and prove an extended version of the kerr theorem which allows one to construct the exact"}
{"subject": "math:arxiv_100617", "predicate": "proves", "object": "we generalize the quantum adiabatic theorem to the non - hermitian system and build a strict adiabat"}
{"subject": "math:arxiv_100627", "predicate": "proves", "object": "we show that if a montesinos knot admits a dehn surgery yielding a toroidal seifert fibered @xmath0-"}
{"subject": "math:arxiv_100629", "predicate": "proves", "object": "we describe a setting for homogenization of convex hamiltonians on abelian covers of any compact man"}
{"subject": "math:arxiv_100635", "predicate": "proves", "object": "in this paper , we propose the study of the boiti - leon - manna - pempinelli equation from two poin"}
{"subject": "math:arxiv_100638", "predicate": "proves", "object": "we study a mechanism of collapse of the condensate wave function in the gross - pitaevskii theory wi"}
{"subject": "math:arxiv_100673", "predicate": "proves", "object": "the development of quantum electrodynamics ( qed ) is sketched from it s earliest beginnings until t"}
{"subject": "math:arxiv_100674", "predicate": "proves", "object": "in 2009 , the first author proved the nekrasov - okounkov formula on hook lengths for integer partit"}
{"subject": "math:arxiv_100675", "predicate": "proves", "object": "stellar haloes and thick discs are tracer populations and make only a modest contribution to the ove"}
{"subject": "math:arxiv_100679", "predicate": "proves", "object": "the convergence properties of numerical regge calculus as an approximation to continuum vacuum gener"}
{"subject": "math:arxiv_100680", "predicate": "proves", "object": "by the method of invariant manifold , we investigate the ito equation numerically with high precisio"}
{"subject": "math:arxiv_100692", "predicate": "proves", "object": "max cones are max - algebraic analogs of convex cones . in the present paper \n we develop a theory o"}
{"subject": "math:arxiv_100693", "predicate": "proves", "object": "we solve the yang - mills equations in the framework of the mclerran - venugopalan model for small t"}
{"subject": "math:arxiv_100697", "predicate": "proves", "object": "we prove schur  weyl duality between the brauer algebra @xmath0 and the orthogonal group @xmath1 ove"}
{"subject": "math:arxiv_100700", "predicate": "proves", "object": "we give a simpler proof of seymour s theorem on edge - coloring series - parallel multigraphs and de"}
{"subject": "math:arxiv_100711", "predicate": "proves", "object": "a large system of ordinary differential equations is approximated by a parabolic partial differentia"}
{"subject": "math:arxiv_100735", "predicate": "proves", "object": "in this paper we report on numerical studies of formation of singularities for the semilinear wave e"}
{"subject": "math:arxiv_100736", "predicate": "proves", "object": "in general relativity , the constraint equation relating metric and density perturbations is inheren"}
{"subject": "math:arxiv_100752", "predicate": "proves", "object": "we investigate the emergence of singular solutions in a non - local model for a magnetic system . \n "}
{"subject": "math:arxiv_100754", "predicate": "proves", "object": "using similarity transformations we construct explicit solutions of the nonlinear schrdinger equatio"}
{"subject": "math:arxiv_100769", "predicate": "proves", "object": "we prove that the periodic quantum toda lattice corresponding to any extended dynkin diagram is comp"}
{"subject": "math:arxiv_100788", "predicate": "proves", "object": "we study the kinematics of timelike geodesic congruences , in the spacetime geometry of rotating bla"}
{"subject": "math:arxiv_100801", "predicate": "proves", "object": "evolution of cooperation in the prisoner s dilemma and the public goods game is studied , where init"}
{"subject": "math:arxiv_100820", "predicate": "proves", "object": "we investigate the quantum zeno and anti - zeno effects in quantum dissipative systems by employing "}
{"subject": "math:arxiv_100821", "predicate": "proves", "object": "in this paper , we propose a theory which unifies kernel learning and symbolic algebraic methods . \n"}
{"subject": "math:arxiv_100829", "predicate": "proves", "object": "we explore the limitations and validity of semi - classically formulated spin equations of motion . "}
{"subject": "math:arxiv_100836", "predicate": "proves", "object": "we use the formalism of geometrothermodynamics to derive a series of fundamental equations for therm"}
{"subject": "math:arxiv_100838", "predicate": "proves", "object": "we show uniqueness theorems for kaluza - klein black holes in the bosonic sector of five - dimension"}
{"subject": "math:arxiv_100841", "predicate": "proves", "object": "using a set of rephasing - invariant variables , it is shown that the renormalization group equation"}
{"subject": "math:arxiv_100865", "predicate": "proves", "object": "we calculate the dominant @xmath0 two - loop electroweak corrections to the fermionic decay widths o"}
{"subject": "math:arxiv_100870", "predicate": "proves", "object": "spreading on networks is influenced by a number of factors including different parts of the inter - "}
{"subject": "math:arxiv_100893", "predicate": "proves", "object": "as a generalization of davis - januszkiewicz theory , there is an essential link between locally sta"}
{"subject": "math:arxiv_100902", "predicate": "proves", "object": "in 1985 , levy used a theorem of berstein to prove that all hyperbolic topological polynomials are e"}
{"subject": "math:arxiv_100912", "predicate": "proves", "object": "based on the dirac equation , the behavior of relativistic electrons which tunnel a potential barrie"}
{"subject": "math:arxiv_100930", "predicate": "proves", "object": "we study the effects of pressure anisotropy and heat dissipation in a spherically symmetric radiatin"}
{"subject": "math:arxiv_100935", "predicate": "proves", "object": "in this paper , we study the multiple integral @xmath0 . a general formula of @xmath1 is presented ."}
{"subject": "math:arxiv_100936", "predicate": "proves", "object": "the mesoscopic reaction - diffusion master equation ( rdme ) is a popular modeling framework , frequ"}
{"subject": "math:arxiv_100966", "predicate": "proves", "object": "the @xmath0 conjecture asserts that the @xmath1-orbit of every positive integer contains @xmath2 , w"}
{"subject": "math:arxiv_100969", "predicate": "proves", "object": "we show that if @xmath0 is a fibered , orientable 3-manifold , and if @xmath1 has a 1-relator presen"}
{"subject": "math:arxiv_100983", "predicate": "proves", "object": "the geometry of spinning codimension - two branes in ads spacetime is analyzed in three and higher d"}
{"subject": "math:arxiv_100997", "predicate": "proves", "object": "only seven radio - quiet isolated neutron stars ( inss ) emitting thermal x rays are known , a sampl"}
{"subject": "math:arxiv_100999", "predicate": "proves", "object": "we consider a system of nonlinear ordinary differential equations for the solution of linear program"}
{"subject": "math:arxiv_101004", "predicate": "proves", "object": "this article studies a fully implicit finite volume scheme for transient nonlinear heat transport eq"}
{"subject": "math:arxiv_101032", "predicate": "proves", "object": "we obtain a fokker - planck equation describing experimental data on the collective motion of locust"}
{"subject": "math:arxiv_101061", "predicate": "proves", "object": "following a previous calculation of quark scattering in eikonal approximation , this paper presents "}
{"subject": "math:arxiv_101065", "predicate": "proves", "object": "we investigate a strongly correlated system of light and matter in two - dimensional cavity arrays ."}
{"subject": "math:arxiv_101094", "predicate": "proves", "object": "the @xmath0 heterotic string on a k3 surface is analyzed in terms of the dual theory of a type ii st"}
{"subject": "math:arxiv_101100", "predicate": "proves", "object": "a general analytic solution to the fractional advection diffusion equation is obtained in plane para"}
{"subject": "math:arxiv_101112", "predicate": "proves", "object": "we derive and analyze an effective quantum boltzmann equation in the kinetic regime for the interact"}
{"subject": "math:arxiv_101124", "predicate": "proves", "object": "a novel method to solve inverse problems for the wave equation is introduced . \n the method is a com"}
{"subject": "math:arxiv_101129", "predicate": "proves", "object": "surprisingly , the order-@xmath0 voronoi diagram of line segments had received no attention in the c"}
{"subject": "math:arxiv_101144", "predicate": "proves", "object": "the schrdinger equation incorporating the long - range coulomb potential takes the form of a fredhol"}
{"subject": "math:arxiv_101152", "predicate": "proves", "object": "we introduce a complexity @xmath0 for pairs @xmath1 , where @xmath2 is a closed orientable @xmath3-m"}
{"subject": "math:arxiv_101157", "predicate": "proves", "object": "in this paper , we formulate and solve a weighted - sum transmitter and receiver energy minimization"}
{"subject": "math:arxiv_101158", "predicate": "proves", "object": "a momentum balance equation is developed to investigate the magnetotransport properties in monolayer"}
{"subject": "math:arxiv_101175", "predicate": "proves", "object": "we study the nonlinear dynamics of a deformed deoxyribonucleic acid ( dna ) molecular chain which is"}
{"subject": "math:arxiv_101190", "predicate": "proves", "object": "behaviour of hot electrons under the influence of dc field in carbon nanotubes is theoretically cons"}
{"subject": "math:arxiv_101201", "predicate": "proves", "object": "the generalised langevin equation ( gle ) method , as developed in ref . \n [ phys . rev . \n b * 89 *"}
{"subject": "math:arxiv_101210", "predicate": "proves", "object": "we apply pseudo - spectral methods to construct global solutions of functional renormalisation group"}
{"subject": "math:arxiv_101247", "predicate": "proves", "object": "the conceptual difficulties associated with a cosmological constant have led to the investigation of"}
{"subject": "math:arxiv_101250", "predicate": "proves", "object": "the dynamics of fission has been formulated by generalising the asymptotic expansion of the fokker -"}
{"subject": "math:arxiv_101264", "predicate": "proves", "object": "we derive a general exact formula for the mean first passage time ( mfpt ) from a fixed point inside"}
{"subject": "math:arxiv_101265", "predicate": "proves", "object": "in recent years two novel approaches for finding lower bounds on the chromatic number @xmath0 of a g"}
{"subject": "math:arxiv_101268", "predicate": "proves", "object": "we measure the topology of volume - limited galaxy samples selected from a parent sample of 314,050 "}
{"subject": "math:arxiv_101273", "predicate": "proves", "object": "we prove an exact controllability result for a one - dimensional heat equation with delay in both lo"}
{"subject": "math:arxiv_101274", "predicate": "proves", "object": "the method of zero - range potentials is generalized to account for the molecular electron excitatio"}
{"subject": "math:arxiv_101293", "predicate": "proves", "object": "in this work we calculate the total mass , radius , moment of inertia , and surface gravitational re"}
{"subject": "math:arxiv_101301", "predicate": "proves", "object": "we use a principal component approach to contrast different kinds of probes of dark energy , and to "}
{"subject": "math:arxiv_101307", "predicate": "proves", "object": "in the framework of a varying speed of light theory , we study the eigenvalues associated with the w"}
{"subject": "math:arxiv_101318", "predicate": "proves", "object": "we investigate a class of localized , stationary , particular numerical solutions to the maxwell - d"}
{"subject": "math:arxiv_101319", "predicate": "proves", "object": "the meissner effect is analysed by using an approach based on newton and maxwell s equations , in or"}
{"subject": "math:arxiv_101349", "predicate": "proves", "object": "a fractional hamiltonian formalism is introduced for the recent combined fractional calculus of vari"}
{"subject": "math:arxiv_101351", "predicate": "proves", "object": "the relationship between observed variability time and emission region geometry is explored for the "}
{"subject": "math:arxiv_101379", "predicate": "proves", "object": "we investigate the quantum transport properties of multichannel nanoribbons made of materials descri"}
{"subject": "math:arxiv_101381", "predicate": "proves", "object": "in this paper , we consider simultaneous reconstruction of the diffusion coefficient and initial sta"}
{"subject": "math:arxiv_101383", "predicate": "proves", "object": "we consider electronic transport accross one - dimensional heterostructures described by the dirac e"}
{"subject": "math:arxiv_101398", "predicate": "proves", "object": "we present sets of equation of state ( eos ) of nuclear matter including hyperons using an @xmath0 e"}
{"subject": "math:arxiv_101414", "predicate": "proves", "object": "the goal of this work is to prove an embedding theorem for compact almost complex manifolds into com"}
{"subject": "math:arxiv_101437", "predicate": "proves", "object": "we use the generalized chowla - selberg formula to consider the casimir effect of a scalar field wit"}
{"subject": "math:arxiv_101440", "predicate": "proves", "object": "we derive a linearized kinetic equation for fermionic excitations with an ultrasoft momentum , @xmat"}
{"subject": "math:arxiv_101468", "predicate": "proves", "object": "in this paper , we present a high - order expansion for elliptic equations in high - contrast media "}
{"subject": "math:arxiv_101482", "predicate": "proves", "object": "we construct breather and rogue wave solutions of a variable coefficient nonlinear schrdinger equati"}
{"subject": "math:arxiv_101485", "predicate": "proves", "object": "we present a new formulation of the jamming phase diagram for a class of glass - forming fluids cons"}
{"subject": "math:arxiv_101492", "predicate": "proves", "object": "we investigate the spectral geometry and spectral action functionals associated to 1d supersymmetry "}
{"subject": "math:arxiv_101497", "predicate": "proves", "object": "throughout biology , hierarchy is a recurrent theme in the geometry of structures where strength is "}
{"subject": "math:arxiv_101527", "predicate": "proves", "object": "the fundamental manifold ( fm ) , an extension of the fundamental plane formalism , incorporates all"}
{"subject": "math:arxiv_101533", "predicate": "proves", "object": "in this paper , the cauchy problem of classical hamiltonian pdes is recast into a liouville s equati"}
{"subject": "math:arxiv_101542", "predicate": "proves", "object": "the impact of imperfections , which are always present on surfaces of lenses with centimeter - size "}
{"subject": "math:arxiv_101551", "predicate": "proves", "object": "an arbitrarily small concentration of impurities can affect the spin hall conductivity in a two - di"}
{"subject": "math:arxiv_101559", "predicate": "proves", "object": "phase transitions in one - dimensional classical fluids are usually ruled out by making appeal to va"}
{"subject": "math:arxiv_101560", "predicate": "proves", "object": "we present a very efficient technique for solving the three - dimensional time - dependent schrdinge"}
{"subject": "math:arxiv_101562", "predicate": "proves", "object": "we present the geodesic deviation equation ( gde ) for the friedmann - robertson walker(frw ) univer"}
{"subject": "math:arxiv_101563", "predicate": "proves", "object": "this work introduces a multidimensional generalization of the maximum bisection problem . \n a mixed "}
{"subject": "math:arxiv_101588", "predicate": "proves", "object": "we derive expressions for the ricci curvature tensor and scalar in terms of intrinsic torsion classe"}
{"subject": "math:arxiv_101590", "predicate": "proves", "object": "we use superoperator representation of quantum kinetic equation to develop nonequilibrium perturbati"}
{"subject": "math:arxiv_101593", "predicate": "proves", "object": "eulerian simulations of the vlasov - poisson equations have been employed to analyze the excitation "}
{"subject": "math:arxiv_101595", "predicate": "proves", "object": "the trajectory of motion of a scattering electron in the coulomb potential from the wave function of"}
{"subject": "math:arxiv_101596", "predicate": "proves", "object": "this work is on the numerical approximation of incoming solutions to maxwell s equations with dissip"}
{"subject": "math:arxiv_101610", "predicate": "proves", "object": "we generalize the generating formula for plane partitions known as macmahon s formula as well as its"}
{"subject": "math:arxiv_101630", "predicate": "proves", "object": "we give a method for obtaining infinitely many framed knots which represent a diffeomorphic @xmath0-"}
{"subject": "math:arxiv_101632", "predicate": "proves", "object": "basics of the geometrical formulation of the dynamics of supersymmetric objects are considered and i"}
{"subject": "math:arxiv_101639", "predicate": "proves", "object": "we study k@xmath0hler gravity on local @xmath1 geometry and describe precise correspondence with cer"}
{"subject": "math:arxiv_101668", "predicate": "proves", "object": "we present a continuation of our theoretical research into the influence of co - solvent polarizabil"}
{"subject": "math:arxiv_101709", "predicate": "proves", "object": "in 2010 , tom halverson and georgia benkart introduced the motzkin algebra , a generalization of the"}
{"subject": "math:arxiv_101711", "predicate": "proves", "object": "the no - hair theorem characterizes the fundamental nature of black holes in general relativity . \n "}
{"subject": "math:arxiv_101714", "predicate": "proves", "object": "for an affine algebra of nonexceptional type in the large rank we show the fermionic formula depends"}
{"subject": "math:arxiv_101734", "predicate": "proves", "object": "the system of dynamic equations for bose - einstein condensate at zero temperature with account of p"}
{"subject": "math:arxiv_101739", "predicate": "proves", "object": "we study the domain of existence of a solution to a riemann problem for the pressure gradient equati"}
{"subject": "math:arxiv_101741", "predicate": "proves", "object": "the rosenblatt distribution appears as limit in non - central limit theorems . \n the generalized ros"}
{"subject": "math:arxiv_101743", "predicate": "proves", "object": "we derive an extremal equation for optimal completely - positive map which most closely approximates"}
{"subject": "math:arxiv_101753", "predicate": "proves", "object": "a wronskian differential formula , useful for applying the confluent second - order susy transformat"}
{"subject": "math:arxiv_101765", "predicate": "proves", "object": "a classical result in lorentzian geometry states that a strongly causal spacetime is globally hyperb"}
{"subject": "math:arxiv_101784", "predicate": "proves", "object": "the evolution of matter produced in nucleus collisions is investigated in the frame work of the simp"}
{"subject": "math:arxiv_101824", "predicate": "proves", "object": "the schroedinger equation for the charmonium and bottomonium states at finite temperature is solved "}
{"subject": "math:arxiv_101826", "predicate": "proves", "object": "we obtain an error estimate between viscosity solutions and @xmath0-viscosity solutions of nonhomoge"}
{"subject": "math:arxiv_101831", "predicate": "proves", "object": "we prove that the fidelity between the quantum state governed by a continuous time stochastic master"}
{"subject": "math:arxiv_101836", "predicate": "proves", "object": "exact formulas of the acoustic radiation force and torque exerted by an arbitrary time - harmonic wa"}
{"subject": "math:arxiv_101838", "predicate": "proves", "object": "a simple approximate formula is derived for the dependence of the period of a simple pendulum on the"}
{"subject": "math:arxiv_101861", "predicate": "proves", "object": "a new approach for solving the time - dependent two - center dirac equation is presented . \n the met"}
{"subject": "math:arxiv_101862", "predicate": "proves", "object": "let @xmath0 be a three - manifold ( possibly with boundary ) . we will show that , for any positive "}
{"subject": "math:arxiv_101918", "predicate": "proves", "object": "while the axiomatic introduction of a probability distribution over a space is common , its use for "}
{"subject": "math:arxiv_101923", "predicate": "proves", "object": "we provide the details for gromov s proof of stallings theorem on groups with infinitely many ends u"}
{"subject": "math:arxiv_101926", "predicate": "proves", "object": "using a theorem dubbed the _ multibreather stabiliy theorem _ [ physica d 180 ( 2003 ) 235 - 255 ] w"}
{"subject": "math:arxiv_101940", "predicate": "proves", "object": "an _ ab initio _ equation of motion method is introduced to calculate the temperature - dependent me"}
{"subject": "math:arxiv_101957", "predicate": "proves", "object": "the influence of substitutional disorder on the magnetic properties of disordered heisenberg binary "}
{"subject": "math:arxiv_101964", "predicate": "proves", "object": "we extend the two - dimensional two - layer outer gap model to a three - dimensional geometry and us"}
{"subject": "math:arxiv_101975", "predicate": "proves", "object": "we extend the atiyah , patodi , and singer index theorem for first order differential operators from"}
{"subject": "math:arxiv_101976", "predicate": "proves", "object": "we simulate the gross - neveu model in 2 + 1 dimensions at nonzero baryon density ( chemical potenti"}
{"subject": "math:arxiv_101998", "predicate": "proves", "object": "we show that superconductors have a thin spectrum associated with spontaneous symmetry breaking simi"}
{"subject": "math:arxiv_102002", "predicate": "proves", "object": "vidussi was the first to construct knotted lagrangian tori in simply connected four dimensional mani"}
{"subject": "math:arxiv_102039", "predicate": "proves", "object": "this paper is a companion to the authors forthcoming work extending heegaard floer theory from close"}
{"subject": "math:arxiv_102067", "predicate": "proves", "object": "a generalization of the heisenberg algebra has been recently constructed . \n this generalized algebr"}
{"subject": "math:arxiv_102070", "predicate": "proves", "object": "we present an exact formulation of the physics of barnett relaxation . \n our formulation is based on"}
{"subject": "math:arxiv_102098", "predicate": "proves", "object": "let @xmath0 be the mod @xmath1 moore spectrum and let @xmath2 be the super - singular elliptic curve"}
{"subject": "math:arxiv_102125", "predicate": "proves", "object": "we collect several variants of the proof of the third case of the bessaga - klee relative classifica"}
{"subject": "math:arxiv_102126", "predicate": "proves", "object": "we study the zero - temperature equation of state ( eos ) of solid @xmath0he in the hexagonal closed"}
{"subject": "math:arxiv_102130", "predicate": "proves", "object": "we find the general solution for the spacetimes describing the interior of static black holes with a"}
{"subject": "math:arxiv_102135", "predicate": "proves", "object": "we prove the central limit theorem for the volume and the @xmath0-vector of the poisson random polyt"}
{"subject": "math:arxiv_102148", "predicate": "proves", "object": "the norm game described by axelrod in 1985 was recently treated with the master equation formalism ."}
{"subject": "math:arxiv_102156", "predicate": "proves", "object": "it is well known that the nonlinear schrdinger ( nls ) equation is a very important integrable equat"}
{"subject": "math:arxiv_102159", "predicate": "proves", "object": "we explore the well - known jaeger s directed cycle double cover conjecture which is equivalent to t"}
{"subject": "math:arxiv_102169", "predicate": "proves", "object": "in this series of lectures directed towards a mainly mathematically oriented audience i try to motiv"}
{"subject": "math:arxiv_102172", "predicate": "proves", "object": "we study classical simulation of quantum computation , taking the gottesman - knill theorem as a sta"}
{"subject": "math:arxiv_102174", "predicate": "proves", "object": "we produce new non - khler , non - einstein , complete expanding gradient ricci solitons with conica"}
{"subject": "math:arxiv_102181", "predicate": "proves", "object": "in the paper a new method to solve the tree - dimensional reference interaction site model ( 3drism "}
{"subject": "math:arxiv_102189", "predicate": "proves", "object": "let @xmath0 be a rational map with algebraic and topological degrees both equal to @xmath1 . \n littl"}
{"subject": "math:arxiv_102192", "predicate": "proves", "object": "we present the details of an algorithm for the global evolution of asymptotically flat , axisymmetri"}
{"subject": "math:arxiv_102206", "predicate": "proves", "object": "in this paper we present closed - form expressions for the wave function that governs the evolution "}
{"subject": "math:arxiv_102213", "predicate": "proves", "object": "the orlik - solomon algebra is the cohomology ring of the complement of a hyperplane arrangement @xm"}
{"subject": "math:arxiv_102232", "predicate": "proves", "object": "complete positivity of a class of maps generated by master equations derived beyond the secular appr"}
{"subject": "math:arxiv_102244", "predicate": "proves", "object": "we study using combinatorial methods the structural coefficients of the formal homogeneous universal"}
{"subject": "math:arxiv_102251", "predicate": "proves", "object": "in this paper we are concerned with hypoelliptic diffusion operators @xmath0 . our main aim is to sh"}
{"subject": "math:arxiv_102269", "predicate": "proves", "object": "abstract    in this work we calculate the @xmath0 gap energies of @xmath1 hyperons in neutron star m"}
{"subject": "math:arxiv_102283", "predicate": "proves", "object": "the one - dimensional motion of any number @xmath0 of particles in the field of many independent wav"}
{"subject": "math:arxiv_102294", "predicate": "proves", "object": "i consider a landscape containing three vacua and study the topology of global spacelike slices in e"}
{"subject": "math:arxiv_102309", "predicate": "proves", "object": "we investigate phase transitions in scalar field theories using the functional renormalization group"}
{"subject": "math:arxiv_102310", "predicate": "proves", "object": "taylor expansions of analytic functions are considered with respect to several points , allowing con"}
{"subject": "math:arxiv_102311", "predicate": "proves", "object": "realistic solutions of the spinor - spinor bethe - salpeter equation for the deuteron with realistic"}
{"subject": "math:arxiv_102380", "predicate": "proves", "object": "we develop a method for constructing asymptotic solutions of finite  -  difference equations and imp"}
{"subject": "math:arxiv_102386", "predicate": "proves", "object": "we study the properties of a nano - electromechanical system in the coherent regime , where the elec"}
{"subject": "math:arxiv_102408", "predicate": "proves", "object": "we confirm a conjecture of lara pudwell and show that permutations of @xmath0 $ ] that avoid the bar"}
{"subject": "math:arxiv_102412", "predicate": "proves", "object": "we study the eleven dimensional supergravity equations on @xmath0 considered as an edge manifold . \n"}
{"subject": "math:arxiv_102429", "predicate": "proves", "object": "we show that if @xmath0 is a minimal length carrier graph in a hyperbolic 3-manifold , @xmath1 , the"}
{"subject": "math:arxiv_102432", "predicate": "proves", "object": "the andrews - curtis conjecture states that every balanced presentation of the trivial group can be "}
{"subject": "math:arxiv_102435", "predicate": "proves", "object": "we describe a quantum limit to measurement of classical spacetimes . \n specifically , we formulate a"}
{"subject": "math:arxiv_102439", "predicate": "proves", "object": "in this paper , we introduce an analytical framework to compute the average rate of downlink heterog"}
{"subject": "math:arxiv_102441", "predicate": "proves", "object": "boundary value problems for operators of dirac type arise naturally in connection with the conformal"}
{"subject": "math:arxiv_102442", "predicate": "proves", "object": "in this paper a family of fixed point algorithms for the numerical resolution of some systems of non"}
{"subject": "math:arxiv_102456", "predicate": "proves", "object": "in this paper , we discuss the total variation bound for the solution of scalar conservation laws wi"}
{"subject": "math:arxiv_102458", "predicate": "proves", "object": "we investigate the lorentz contraction of a deuteron in flight . \n our starting point is the blanken"}
{"subject": "math:arxiv_102497", "predicate": "proves", "object": "the technique of applying form - invariant , spatial coordinate transformations of maxwell s equatio"}
{"subject": "math:arxiv_102502", "predicate": "proves", "object": "we propose an ultradiscrete analogue of the vertex operator in the case of the ultradiscrete kdv equ"}
{"subject": "math:arxiv_102503", "predicate": "proves", "object": "thermodynamic formalism for rotating black holes , characterized by noncommutative and quantum corre"}
{"subject": "math:arxiv_102505", "predicate": "proves", "object": "we compute the finite size effects in the ground state energy , equivalently the effective central c"}
{"subject": "math:arxiv_102527", "predicate": "proves", "object": "we present a new nonperturbative method to deal with the time - dependent quantum many - body proble"}
{"subject": "math:arxiv_102528", "predicate": "proves", "object": "by exact numerical and master equation approaches , we show that a central spin-1/2 can be configure"}
{"subject": "math:arxiv_102533", "predicate": "proves", "object": "image scoring sustains cooperation in the repeated two - player prisoner s dilemma through indirect "}
{"subject": "math:arxiv_102536", "predicate": "proves", "object": "the effect of the anisotropy in the exchange interaction on the critical temperature and the order p"}
{"subject": "math:arxiv_102587", "predicate": "proves", "object": "in this paper we investigate the existence of `` partially '' isometric immersions . \n these are map"}
{"subject": "math:arxiv_102593", "predicate": "proves", "object": "two dehn surgeries on a knot are called cosmetic if they yield homeomorphic manifolds . for a null -"}
{"subject": "math:arxiv_102611", "predicate": "proves", "object": "starting from the qcd lagrangian and taking into account both perturbative and nonperturbative effec"}
{"subject": "math:arxiv_102613", "predicate": "proves", "object": "we discuss a new method for obtaining the wkb approximation to the dirac equation with a scalar pote"}
{"subject": "math:arxiv_102618", "predicate": "proves", "object": "we determine the decomposition numbers for the brauer and walled brauer algebra in characteristic ze"}
{"subject": "math:arxiv_102630", "predicate": "proves", "object": "we investigate mathematically a nonlinear approximation type approach recently introduced in  @xcite"}
{"subject": "math:arxiv_102645", "predicate": "proves", "object": "several vulnerabilities of single photon detectors have recently been exploited to compromise the se"}
{"subject": "math:arxiv_102666", "predicate": "proves", "object": "in this paper the semi - classical approach to the solution of non - linear evolution equation is de"}
{"subject": "math:arxiv_102678", "predicate": "proves", "object": "in the present paper , we give a simple proof of the level density of fixed trace square ensemble . "}
{"subject": "math:arxiv_102682", "predicate": "proves", "object": "a systematic derivation of boltzmann equation is presented in the framework of closed - time - path "}
{"subject": "math:arxiv_102684", "predicate": "proves", "object": "due to the strongly nonlocal nature of @xmath0 the _ scalar _ exchange and correlation ( xc ) kernel"}
{"subject": "math:arxiv_102702", "predicate": "proves", "object": "without invoking the markov approximation , we derive formulas for vibrational energy relaxation ( v"}
{"subject": "math:arxiv_102705", "predicate": "proves", "object": "a typical coercivity versus particle size curve for magnetic nanoparticles has been explained by usi"}
{"subject": "math:arxiv_102708", "predicate": "proves", "object": "abstract    loop quantum gravity defines the quantum states of space geometry as spin networks and d"}
{"subject": "math:arxiv_102710", "predicate": "proves", "object": "a cooper pair splitter consists of a central superconducting contact , s , from which electrons are "}
{"subject": "math:arxiv_102719", "predicate": "proves", "object": "we study a novel type of braid groups on a closed orientable surface @xmath0 . \n these are fundament"}
{"subject": "math:arxiv_102729", "predicate": "proves", "object": "in this article we will derive a combinatorial formula for the partition function p(n ) . in the sec"}
{"subject": "math:arxiv_102732", "predicate": "proves", "object": "an @xmath0 superfield formulation of the @xmath1 supersymmetric toda lattice hierarchy is proposed ,"}
{"subject": "math:arxiv_102738", "predicate": "proves", "object": "this paper , which is an outgrowth of @xcite , continues the study of dimension 1 foliations on non "}
{"subject": "math:arxiv_102764", "predicate": "proves", "object": "we consider singly periodic solutions to the su(2 ) bogomolny equations and use the nahm transform t"}
{"subject": "math:arxiv_102783", "predicate": "proves", "object": "we study the equation of state , polarization and radiation properties for nonideal , strongly magne"}
{"subject": "math:arxiv_102786", "predicate": "proves", "object": "this work is closely related to the theories of set estimation and manifold estimation . \n our objec"}
{"subject": "math:arxiv_102790", "predicate": "proves", "object": "we give a self - contained and enriched review about topology properties in the rapidly growing fiel"}
{"subject": "math:arxiv_102798", "predicate": "proves", "object": "up to equivalence , a substitution in propositional logic is an endomorphism of its free algebra . o"}
{"subject": "math:arxiv_102805", "predicate": "proves", "object": "the goal of this paper is to present a solution of the cellular automaton associated with the discre"}
{"subject": "math:arxiv_102830", "predicate": "proves", "object": "high precision estimation of the equation of state of dark energy depends on constraints external to"}
{"subject": "math:arxiv_102838", "predicate": "proves", "object": "we prove a positive mass theorem for @xmath0-dimensional asymptotically flat manifolds with a non - "}
{"subject": "math:arxiv_102841", "predicate": "proves", "object": "we study the process of energy conversion from overcritical electric field into electron - positron "}
{"subject": "math:arxiv_102844", "predicate": "proves", "object": "a new scheme for testing the nuclear matter ( nm ) equation of state ( eos ) at high densities using"}
{"subject": "math:arxiv_102846", "predicate": "proves", "object": "by analytic continuation to real @xmath0 of data obtained from numerical simulation at imaginary @xm"}
{"subject": "math:arxiv_102900", "predicate": "proves", "object": "two - point correlators represented by either perturbative or non - perturbative integral equations "}
{"subject": "math:arxiv_102903", "predicate": "proves", "object": "a theoretical analysis is given of the equation of motion method , due to alben et al . \n , to compu"}
{"subject": "math:arxiv_102917", "predicate": "proves", "object": "a compressible flow characterized by a velocity field @xmath0 is analyzed by means of the boltzmann "}
{"subject": "math:arxiv_102926", "predicate": "proves", "object": "we study the dynamics of a non - degenerate , harmonically trapped fermi gas following a sudden ramp"}
{"subject": "math:arxiv_102960", "predicate": "proves", "object": "a set of flux tube gyrokinetic equations that includes the effect of the spatial variation of the de"}
{"subject": "math:arxiv_102965", "predicate": "proves", "object": "in 1976 thurston associated to a @xmath0manifold @xmath1 a marked polytope in @xmath2 which measures"}
{"subject": "math:arxiv_102968", "predicate": "proves", "object": "in this paper we present the first steps for obtaining a discrete quantum mechanics making use of th"}
{"subject": "math:arxiv_102984", "predicate": "proves", "object": "in this paper we consider multidimensional stochastic differential equations ( sdes ) with discontin"}
{"subject": "math:arxiv_102998", "predicate": "proves", "object": "we present a real - time diagrammatic theory for transport through interacting quantum dots tunnel c"}
{"subject": "math:arxiv_103000", "predicate": "proves", "object": "moore introduced a class of real - valued `` recursive '' functions by analogy with kleene s formula"}
{"subject": "math:arxiv_103002", "predicate": "proves", "object": "this work is focused on the doubly nonlinear equation @xmath0 whose solutions represent the bending "}
{"subject": "math:arxiv_103003", "predicate": "proves", "object": "it was conjectured by hoffmann - ostenhof that the edge set of every connected cubic graph can be de"}
{"subject": "math:arxiv_103014", "predicate": "proves", "object": "after a brief introduction we review the nonperturbative weak noise approach to the kpz equation in "}
{"subject": "math:arxiv_103020", "predicate": "proves", "object": "we report results of systematic numerical analysis of collisions between two and three stable dissip"}
{"subject": "math:arxiv_103027", "predicate": "proves", "object": "gnu texmacs is a free wysiwyg word processor providing an excellent typesetting quality of texts and"}
{"subject": "math:arxiv_103043", "predicate": "proves", "object": "we establish the small data solvability of suitable quasilinear wave and klein - gordon equations in"}
{"subject": "math:arxiv_103050", "predicate": "proves", "object": "in this paper we prove an approximate continuity result for stochastic differential equations with n"}
{"subject": "math:arxiv_103094", "predicate": "proves", "object": "dyson published in 1990 a proof due to feynman of the maxwell equations . \n this proof is based on t"}
{"subject": "math:arxiv_103100", "predicate": "proves", "object": "the hajnal  szemerdi theorem states that for any integer @xmath0 and any multiple @xmath1 of @xmath2"}
{"subject": "math:arxiv_103103", "predicate": "proves", "object": "we study effects of fluctuations on the mesoscopic length - scale on systems with mesoscopic inhomog"}
{"subject": "math:arxiv_103113", "predicate": "proves", "object": "a comparison of impulse approximation calculations for the @xmath0 reaction , based on the dirac equ"}
{"subject": "math:arxiv_103118", "predicate": "proves", "object": "we investigate mobility regimes for localized modes in the discrete nonlinear schrdinger ( dnls ) eq"}
{"subject": "math:arxiv_103120", "predicate": "proves", "object": "we study static , spherically symmetric solutions with an electric field in an extension of general "}
{"subject": "math:arxiv_103136", "predicate": "proves", "object": "we construct polyhedral families of valuations on the branching algebra of a morphism of reductive g"}
{"subject": "math:arxiv_103139", "predicate": "proves", "object": "it is considered a transmittion process of a useful signal in ornstein - uhlenbeck stochastic model "}
{"subject": "math:arxiv_103149", "predicate": "proves", "object": "a revision of the recursive method proposed by s.a . \n shakir [ am . j. phys . * \n 52 * , 845 ( 1984"}
{"subject": "math:arxiv_103155", "predicate": "proves", "object": "for smooth manifolds @xmath0 and @xmath1 , let @xmath2 be the homotopy fiber of the map @xmath3 . co"}
{"subject": "math:arxiv_103166", "predicate": "proves", "object": "given a concave integro - differential operator @xmath0 , we study regularity for solutions of fully"}
{"subject": "math:arxiv_103167", "predicate": "proves", "object": "the problem of base station cooperation has recently been set within the framework of stochastic geo"}
{"subject": "math:arxiv_103176", "predicate": "proves", "object": "a method for mapping known cylindrical magnetovac solutions to solutions in torus coordinates is dev"}
{"subject": "math:arxiv_103182", "predicate": "proves", "object": "we study several deformation functors associated to the normalization of a reduced curve singularity"}
{"subject": "math:arxiv_103194", "predicate": "proves", "object": "the classical turbulence theory by kolmogorov is reconsidered using navier - stokes equation general"}
{"subject": "math:arxiv_103207", "predicate": "proves", "object": "interaction properties of complex solitons are studied for the two @xmath0-invariant integrable gene"}
{"subject": "math:arxiv_103222", "predicate": "proves", "object": "this article gives an introduction for mathematicians interested in numerical computations in algebr"}
{"subject": "math:arxiv_103226", "predicate": "proves", "object": "we study the momentum space entanglement spectra of bosonic and fermionic formulations of the spin-1"}
{"subject": "math:arxiv_103251", "predicate": "proves", "object": "in order to construct improved overlap fermions , we start from a short ranged approximate ginsparg "}
{"subject": "math:arxiv_103255", "predicate": "proves", "object": "exact solutions of the dirac equation in external electromagnetic background fields are very helpful"}
{"subject": "math:arxiv_103256", "predicate": "proves", "object": "the riemann hypothesis can be reformulated as statements about the eigenvalues of certain matrices w"}
{"subject": "math:arxiv_103264", "predicate": "proves", "object": "( * ? ? ? \n * lbk ) presented a useful formula for computing the long - range torque between spiral "}
{"subject": "math:arxiv_103269", "predicate": "proves", "object": "the current noise in a classical one - dimensional charge density wave system is studied in the weak"}
{"subject": "math:arxiv_103272", "predicate": "proves", "object": "we analyze the data complexity of ontology - mediated querying where the ontologies are formulated i"}
{"subject": "math:arxiv_103274", "predicate": "proves", "object": "it is proved that symmetry structure of the parity - violating amplitudes of weak radiative hyperon "}
{"subject": "math:arxiv_103279", "predicate": "proves", "object": "a version of kirby calculus for spin and framed three - manifolds is given and is used to construct "}
{"subject": "math:arxiv_103281", "predicate": "proves", "object": "let @xmath0 be the class of graphs for which every minor has minimum degree at most @xmath1 . \n then"}
{"subject": "math:arxiv_103304", "predicate": "proves", "object": "in this article we study the transitivity of the group of automorphisms of real algebraic surfaces ."}
{"subject": "math:arxiv_103338", "predicate": "proves", "object": "the master differential equations in the external square momentum @xmath0 for the master integrals o"}
{"subject": "math:arxiv_103345", "predicate": "proves", "object": "we find an expression for mass of spherically symmetric system solving euler - lagrangian equation b"}
{"subject": "math:arxiv_103347", "predicate": "proves", "object": "motivated by consideration of the solar tachocline , we derive , via an asymptotic procedure , a new"}
{"subject": "math:arxiv_103349", "predicate": "proves", "object": "we discuss the explicit formulation of the transcendental constraints defining spectral curves of @x"}
{"subject": "math:arxiv_103354", "predicate": "proves", "object": "the faddeev equation for three - body scattering at arbitrary energies is formulated in momentum spa"}
{"subject": "math:arxiv_103363", "predicate": "proves", "object": "this paper is devoted to a study of the null controllability problems for one - dimensional linear d"}
{"subject": "math:arxiv_103369", "predicate": "proves", "object": "curved @xmath0-algebras appear in nature as deformations of dg algebras . \n we develop the basic the"}
{"subject": "math:arxiv_103372", "predicate": "proves", "object": "in this paper we study k - cosymplectic manifolds , i.e. , smooth cosymplectic manifolds for which t"}
{"subject": "math:arxiv_103403", "predicate": "proves", "object": "we sketch here an approach to the computation of genaralised parton distributions ( gpds ) , based u"}
{"subject": "math:arxiv_103409", "predicate": "proves", "object": "the hysteretic behavior of many - particle systems with non - convex free energy can be modeled by n"}
{"subject": "math:arxiv_103429", "predicate": "proves", "object": "quantum cascade lasers can be modeled within a hierarchy of different approaches : standard rate equ"}
{"subject": "math:arxiv_103477", "predicate": "proves", "object": "we consider the euler equation of quasi - geostrophic fluids which is widely used in weather forecas"}
{"subject": "math:arxiv_103491", "predicate": "proves", "object": "criticism of gnutella network scalability has rested on the bandwidth attributes of the original int"}
{"subject": "math:arxiv_103492", "predicate": "proves", "object": "i discuss a progress in calculations of feynman integrals based on the gegenbauer polynomial techniq"}
{"subject": "math:arxiv_103511", "predicate": "proves", "object": "we consider a scalar - tensor model of dark energy with gauss - bonnet and non - minimal couplings ."}
{"subject": "math:arxiv_103521", "predicate": "proves", "object": "the standard visibility model in light pollution studies is the formula of @xcite , as used e.g. by "}
{"subject": "math:arxiv_103523", "predicate": "proves", "object": "we have considered @xmath0-dimensional einstein field equations in which four - dimensional space - "}
{"subject": "math:arxiv_103526", "predicate": "proves", "object": "we find unconventional mott insulators in a quasi-2d version of the shastry - sutherland model in a "}
{"subject": "math:arxiv_103546", "predicate": "proves", "object": "we study the initial - boundary value problem for a nonlinear wave equation given by @xmath0 where @"}
{"subject": "math:arxiv_103579", "predicate": "proves", "object": "extremal planar black holes of four dimensional einstein - maxwell theory with a negative cosmologic"}
{"subject": "math:arxiv_103586", "predicate": "proves", "object": "in this work a phenomenological stochastic differential equation is proposed for modelling the time "}
{"subject": "math:arxiv_103592", "predicate": "proves", "object": "we consider the identification of a nonlinear friction law in a one - dimensional damped wave equati"}
{"subject": "math:arxiv_103601", "predicate": "proves", "object": "we study non oscillating bifurcations of non homogeneous steady states of the vlasov equation , a si"}
{"subject": "math:arxiv_103605", "predicate": "proves", "object": "the covariant phase space of a lagrangian field theory is the solution space of the associated euler"}
{"subject": "math:arxiv_103618", "predicate": "proves", "object": "we present a generic model of an atom laser by including a pump and loss term in the gross - pitaevs"}
{"subject": "math:arxiv_103650", "predicate": "proves", "object": "classical metric and non - metric multidimensional scaling ( mds ) variants are widely known manifol"}
{"subject": "math:arxiv_103671", "predicate": "proves", "object": "this article deals with the conjugate gradient method on a riemannian manifold with interest in glob"}
{"subject": "math:arxiv_103677", "predicate": "proves", "object": "by means of the non - equilibrium green function and equation of motion method , the electronic tran"}
{"subject": "math:arxiv_103679", "predicate": "proves", "object": "we compute the tunneling current in a double point contact geometry of a quantum hall system at fill"}
{"subject": "math:arxiv_103681", "predicate": "proves", "object": "we investigate the partially asymmetric exclusion process ( pasep ) with open boundaries when the re"}
{"subject": "math:arxiv_103693", "predicate": "proves", "object": "we use the theory of clifford algebras and vahlen groups to study weyl groups of hyperbolic kac - mo"}
{"subject": "math:arxiv_103712", "predicate": "proves", "object": "in the present paper we give a proof of the fact that the sub - riemannian cut locus of a wide class"}
{"subject": "math:arxiv_103717", "predicate": "proves", "object": "this paper studies a specific metric on plane curves that has the property of being isometric to cla"}
{"subject": "math:arxiv_103720", "predicate": "proves", "object": "we present a significant improvement to a time - dependent wkb ( tdwkb ) formulation developed by bo"}
{"subject": "math:arxiv_103736", "predicate": "proves", "object": "basic logic gates and their operations in ternary quantum domain are involved in the synthesis of te"}
{"subject": "math:arxiv_103743", "predicate": "proves", "object": "using a geometry - based fundamental measure density functional theory , we calculate bulk fluid pha"}
{"subject": "math:arxiv_103753", "predicate": "proves", "object": "regarded as the integrable generalization of camassa - holm ( ch ) equation , the ch equation with s"}
{"subject": "math:arxiv_103760", "predicate": "proves", "object": "we consider a system of two gross - pitaevskii ( gp ) equations , in the presence of an optical - la"}
{"subject": "math:arxiv_103767", "predicate": "proves", "object": "we prove the existence and uniqueness of the solutions of some very general type of degenerate compl"}
{"subject": "math:arxiv_103784", "predicate": "proves", "object": "a poisson manifold @xmath0 is @xmath1-symplectic if @xmath2 is transverse to the zero section . in t"}
{"subject": "math:arxiv_103786", "predicate": "proves", "object": "in this article we lift pestov s identity on the tangent bundle of a riemannian manifold @xmath0 to "}
{"subject": "math:arxiv_103799", "predicate": "proves", "object": "we review the basic theory of super @xmath0-spaces . \n we prove a theorem relating the action of a s"}
{"subject": "math:arxiv_103814", "predicate": "proves", "object": "an old problem in combinatorial geometry is to determine when one or more measurable sets in @xmath0"}
{"subject": "math:arxiv_103816", "predicate": "proves", "object": "in this letter , 2d dirac oscillator in the quantum deformed framework generated by the @xmath0-poin"}
{"subject": "math:arxiv_103839", "predicate": "proves", "object": "we formulate a field theory for resonantly interacting anyons , that enables us to perform a perturb"}
{"subject": "math:arxiv_103846", "predicate": "proves", "object": "quantum control could be implemented by varying the system hamiltonian . according to adiabatic theo"}
{"subject": "math:arxiv_103875", "predicate": "proves", "object": "the regge  wheeler equation for black - hole gravitational waves is analyzed for large negative imag"}
{"subject": "math:arxiv_103876", "predicate": "proves", "object": "we investigate test particle trajectories in warped spacetimes with a thick brane warp factor , a co"}
{"subject": "math:arxiv_103880", "predicate": "proves", "object": "in this paper we study the effect of a torus topology on loop quantum cosmology . \n we first derive "}
{"subject": "math:arxiv_103884", "predicate": "proves", "object": "this paper shows how proof nets can be used to formalize the notion of `` incomplete dependency '' u"}
{"subject": "math:arxiv_103897", "predicate": "proves", "object": "in this article , we construct the first examples of a simply connected minimal symplectic 4-manifol"}
{"subject": "math:arxiv_103913", "predicate": "proves", "object": "we discuss a phase transition of a reissner - nordstrm black hole to a hairy black hole in asymptoti"}
{"subject": "math:arxiv_103922", "predicate": "proves", "object": "beginning with a brief sketch of the derivation of hawking s theorem of horizon area increase , base"}
{"subject": "math:arxiv_103933", "predicate": "proves", "object": "we investigate the way that the degenerate manifold of midgap edge states in quasicircular graphene "}
{"subject": "math:arxiv_103954", "predicate": "proves", "object": "let @xmath0 be a point in the upper half plane , and let @xmath1 be a discrete , finite covolume sub"}
{"subject": "math:arxiv_103958", "predicate": "proves", "object": "in this paper , we realize the algebra of @xmath0-relations , signed partition algebras and partitio"}
{"subject": "math:arxiv_103963", "predicate": "proves", "object": "we introduce an exactly solvable example of timelike geodesic motion and geodesic deviation in the b"}
{"subject": "math:arxiv_103979", "predicate": "proves", "object": "we calculate the low - energy parameter @xmath0 in qcd , which is also known as @xmath1 , and the pi"}
{"subject": "math:arxiv_103995", "predicate": "proves", "object": "in this article we consider the linear stability of the spherically - symmetric stationary solutions"}
{"subject": "math:arxiv_103998", "predicate": "proves", "object": "employing five commuting sets of five - qubit observables , we propose specific @xmath0 and @xmath1 "}
{"subject": "math:arxiv_104019", "predicate": "proves", "object": "in these lectures , we review the main properties of the topological theory obtained by twisting the"}
{"subject": "math:arxiv_104021", "predicate": "proves", "object": "resonant tunneling through a quantum dot coupled to superconducting reservoirs in the presence of ti"}
{"subject": "math:arxiv_104022", "predicate": "proves", "object": "we prove that for every @xmath0 there exists a driving function @xmath1\\to{\\mathbb r}$ ] such that t"}
{"subject": "math:arxiv_104046", "predicate": "proves", "object": "we study the transport properties of a four - terminal corner junction made by etching a two - dimen"}
{"subject": "math:arxiv_104053", "predicate": "proves", "object": "in this paper we formulate a solution of the robust linear regression problem in a general framework"}
{"subject": "math:arxiv_104059", "predicate": "proves", "object": "we studied strong - coupling effect upon an isolated vortex in a two - dimensional chiral _ \n p_-wav"}
{"subject": "math:arxiv_104062", "predicate": "proves", "object": "we present a spin foam formulation of lorentzian quantum general relativity . \n the theory is based "}
{"subject": "math:arxiv_104074", "predicate": "proves", "object": "we show that high energy scattering is a statistical process essentially similar to reaction - diffu"}
{"subject": "math:arxiv_104090", "predicate": "proves", "object": "we have performed multicanonical simulations of hydrophobic - hydrophilic heteropolymers with a simp"}
{"subject": "math:arxiv_104094", "predicate": "proves", "object": "we formulate the dual fermion approach for strongly correlated electronic systems in terms of the la"}
{"subject": "math:arxiv_104126", "predicate": "proves", "object": "we consider a recently proposed network model of the integer quantum hall ( iqh ) effect in a weak m"}
{"subject": "math:arxiv_104128", "predicate": "proves", "object": "a lagrangian surface hopping algorithm is implemented to study the two dimensional massless dirac eq"}
{"subject": "math:arxiv_104135", "predicate": "proves", "object": "the problem of motif detection can be formulated as the construction of a discriminant function to s"}
{"subject": "math:arxiv_104138", "predicate": "proves", "object": "the propagation of ( massless ) scalar , electromagnetic and gravitational waves on fixed schwarzsch"}
{"subject": "math:arxiv_104139", "predicate": "proves", "object": "we consider an extended korteweg - de vries ( ekdv ) equation , the usual korteweg - de vries equati"}
{"subject": "math:arxiv_104140", "predicate": "proves", "object": "we consider the abelian higgs model in a @xmath0-dimensional space time with topology @xmath1 as a f"}
{"subject": "math:arxiv_104161", "predicate": "proves", "object": "instanton contributions to the laplace sum - rules for correlation functions of scalar gluonic curre"}
{"subject": "math:arxiv_104172", "predicate": "proves", "object": "we found a unified formula for description of the household incomes of all society classes , for ins"}
{"subject": "math:arxiv_104173", "predicate": "proves", "object": "we demonstrate the transport of interface states in the one - dimensional ferromagnetic heisenberg m"}
{"subject": "math:arxiv_104200", "predicate": "proves", "object": "we have been studying effects of dynamical quarks on various hadronic observables , using our recent"}
{"subject": "math:arxiv_104206", "predicate": "proves", "object": "the spectral theorem of the linear 2d euler operator in sobolev spaces is presented as a corollary o"}
{"subject": "math:arxiv_104211", "predicate": "proves", "object": "the idea of this review article is to discuss in a unified way the orthogonality of all positive def"}
{"subject": "math:arxiv_104225", "predicate": "proves", "object": "motivated by recent measurements of the lifetime ( decay width ) of paramagnons in quantum antiferro"}
{"subject": "math:arxiv_104234", "predicate": "proves", "object": "thermal vector potential formulation is applied to study thermal dynamics of magnetic structures in "}
{"subject": "math:arxiv_104237", "predicate": "proves", "object": "we develop a monte carlo wave function algorithm for the quantum linear boltzmann equation , a marko"}
{"subject": "math:arxiv_104243", "predicate": "proves", "object": "we prove that the family of measured dynamical systems which can be realised as uniquely ergodic min"}
{"subject": "math:arxiv_104249", "predicate": "proves", "object": "the main theme of this paper is a relative version of the almost existence theorem for periodic orbi"}
{"subject": "math:arxiv_104253", "predicate": "proves", "object": "the attempt of extending to higher dimensions the matrix model formulation of two - dimensional quan"}
{"subject": "math:arxiv_104261", "predicate": "proves", "object": "the electrostatic continuum solvent model developed by fattebert and gygi is combined with a first -"}
{"subject": "math:arxiv_104282", "predicate": "proves", "object": "we study dispersive properties for the wave equation in the schwarzschild space - time . \n the first"}
{"subject": "math:arxiv_104300", "predicate": "proves", "object": "we describe simple algebraic and combinatorial characterisations of finite relational core structure"}
{"subject": "math:arxiv_104310", "predicate": "proves", "object": "given a bounded @xmath0 domain @xmath1 , functions @xmath2 and @xmath3 , let @xmath4 denote the uniq"}
{"subject": "math:arxiv_104342", "predicate": "proves", "object": "combining a lattice path integral formulation for thermodynamics with the solution of the quantum in"}
{"subject": "math:arxiv_104350", "predicate": "proves", "object": "a recent paper by harmut traunmller shows that the most adequate equation to interpret the observati"}
{"subject": "math:arxiv_104357", "predicate": "proves", "object": "using operator algebra , we extend the series for the activity density in a one - dimensional stocha"}
{"subject": "math:arxiv_104361", "predicate": "proves", "object": "a simple system of coupled kinetic equations for quark and gluon anisotropic systems is solved numer"}
{"subject": "math:arxiv_104377", "predicate": "proves", "object": "how different is the universal cover of a given finite @xmath0-complex from a @xmath1-manifold ( fro"}
{"subject": "math:arxiv_104379", "predicate": "proves", "object": "fragmentation and growth - fragmentation equations is a family of problems with varied and wide appl"}
{"subject": "math:arxiv_104408", "predicate": "proves", "object": "the equations for gravitational plane waves produced by a typical binary system as a solution of lin"}
{"subject": "math:arxiv_104418", "predicate": "proves", "object": "in this paper , analytical formulas for elastic neutrino - fermion scattering cross sections are pre"}
{"subject": "math:arxiv_104420", "predicate": "proves", "object": "the paper presents some solutions to the five dimensional einstein equations due to a perfect fluid "}
{"subject": "math:arxiv_104421", "predicate": "proves", "object": "spline galerkin approximation methods for the sherman - lauricella integral equation on simple close"}
{"subject": "math:arxiv_104454", "predicate": "proves", "object": "we introduce a general procedure for directly ascertaining how many independent stochastic sources e"}
{"subject": "math:arxiv_104456", "predicate": "proves", "object": "we present an exact algebraic solution of a single graphene plane in transverse electric and perpend"}
{"subject": "math:arxiv_104467", "predicate": "proves", "object": "the model of dipole fluid for the ionic liquids similar to the molten nacl is proposed . \n the estim"}
{"subject": "math:arxiv_104484", "predicate": "proves", "object": "using operator algebraic methods we show that the moment generating function of charge transport in "}
{"subject": "math:arxiv_104486", "predicate": "proves", "object": "recently , in order to mix algebraic and logic styles of specification in a uniform framework , the "}
{"subject": "math:arxiv_104492", "predicate": "proves", "object": "binary discrete nonlinear schrdinger equation is used to describe dynamics of two - species bose - e"}
{"subject": "math:arxiv_104506", "predicate": "proves", "object": "we study a natural hierarchy in first - order logic , namely the quantifier structure hierarchy , wh"}
{"subject": "math:arxiv_104508", "predicate": "proves", "object": "we present a variational solution of the @xmath0-matrix integral equation within a local approximati"}
{"subject": "math:arxiv_104509", "predicate": "proves", "object": "l.  paoluzzi constructed a family of compact orientable three - dimensional hyperbolic manifolds wit"}
{"subject": "math:arxiv_104561", "predicate": "proves", "object": "a complete proof of the quark reggeization hypothesis in the leading logarithmic approximation for a"}
{"subject": "math:arxiv_104562", "predicate": "proves", "object": "a solution @xmath0 to schrdinger s equation needs some degree of regularity in order to allow the co"}
{"subject": "math:arxiv_104567", "predicate": "proves", "object": "we give a detailed derivation of the second - order ( local ) hydrodynamics for boltzmann equation w"}
{"subject": "math:arxiv_104574", "predicate": "proves", "object": "we present an analytical solution to the schrdinger equation for electron in a two - dimensional cir"}
{"subject": "math:arxiv_104579", "predicate": "proves", "object": "given @xmath0 , a probability measure @xmath1 on @xmath2 and a semi - algebraic set @xmath3 , we con"}
{"subject": "math:arxiv_104585", "predicate": "proves", "object": "we show that all correct results obtained by applying quantum field theory to neutrino oscillations "}
{"subject": "math:arxiv_104589", "predicate": "proves", "object": "the problem is to decide , given a set of @xmath0 real numbers , whether any three sum to zero . \n i"}
{"subject": "math:arxiv_104592", "predicate": "proves", "object": "using variational methods , we construct approximate solutions for the gross - pitaevski equation wh"}
{"subject": "math:arxiv_104594", "predicate": "proves", "object": "we present a method to calculate the excitonic spectra of all direct semiconductors with a complex v"}
{"subject": "math:arxiv_104616", "predicate": "proves", "object": "this article describes a method to compute successive convex approximations of the convex hull of a "}
{"subject": "math:arxiv_104617", "predicate": "proves", "object": "some outstanding issues in high energy scattering are discussed . \n particular emphasis is placed on"}
{"subject": "math:arxiv_104620", "predicate": "proves", "object": "for any finite dimensional basic associative algebra , we study the presentation spaces and their re"}
{"subject": "math:arxiv_104634", "predicate": "proves", "object": "off - diagonal geometric phases have been developed in order to provide information of the geometry "}
{"subject": "math:arxiv_104643", "predicate": "proves", "object": "given a normal surface singularity @xmath0 and a birational morphism to a non - singular surface @xm"}
{"subject": "math:arxiv_104666", "predicate": "proves", "object": "general formulation for the effective field theory with differential operator technique and the deco"}
{"subject": "math:arxiv_104681", "predicate": "proves", "object": "we provide an explicit formula for the coefficient polynomials of a hermite diagonal differential op"}
{"subject": "math:arxiv_104687", "predicate": "proves", "object": "two empirical formulae for the lepton and quark masses ( i.e. kartavtsev s extended koide formulae )"}
{"subject": "math:arxiv_104688", "predicate": "proves", "object": "the electronic properties of a bricklayer model , which shares the same topology as the hexagonal la"}
{"subject": "math:arxiv_104694", "predicate": "proves", "object": "we consider partially - connected @xmath0-user interference networks , where the transmitters have n"}
{"subject": "math:arxiv_104702", "predicate": "proves", "object": "we analyze gap solitons in trapped bose - einstein condensates ( becs ) in optical lattice potential"}
{"subject": "math:arxiv_104708", "predicate": "proves", "object": "we consider solutions to the linear wave equation @xmath0 on a suitable globally hyperbolic subset o"}
{"subject": "math:arxiv_104715", "predicate": "proves", "object": "solutions to the maxwell - bloch equations for a @xmath0 system are computed using the single - soli"}
{"subject": "math:arxiv_104731", "predicate": "proves", "object": "a new slender - body theory for viscous flow , based on the concepts of dimensional reduction and hy"}
{"subject": "math:arxiv_104736", "predicate": "proves", "object": "we study solutions of the 2d ginzburg - landau equation @xmath0 subject to `` semi - stiff '' bounda"}
{"subject": "math:arxiv_104740", "predicate": "proves", "object": "the delta conjecture of haglund , remmel , and wilson is a recent generalization of the shuffle conj"}
{"subject": "math:arxiv_104771", "predicate": "proves", "object": "we report on a calculation of higgs - boson contributions to the decays @xmath0 and @xmath1 @xmath2 "}
{"subject": "math:arxiv_104778", "predicate": "proves", "object": "for two spatially anisotropic , su(2)-invariant models of frustrated magnets in arbitrary space dime"}
{"subject": "math:arxiv_104797", "predicate": "proves", "object": "the photo - production of a pair of scalar particles in the presence of an intense , circularly pola"}
{"subject": "math:arxiv_104806", "predicate": "proves", "object": "the friedman equation is solved for a universe containing hot - dark matter and cold dark matter . i"}
{"subject": "math:arxiv_104810", "predicate": "proves", "object": "the so called gell - mann formula , a prescription designed to provide an inverse to the inn - wigne"}
{"subject": "math:arxiv_104823", "predicate": "proves", "object": "the collision - free boltzmann equation is used in the context of brane-@xmath0 gravity to derive th"}
{"subject": "math:arxiv_104833", "predicate": "proves", "object": "in this talk we explain the relation between the ( equivariant ) bloch - kato conjecture for special"}
{"subject": "math:arxiv_104835", "predicate": "proves", "object": "we explain how , given a plane algebraic curve @xmath0 , @xmath1 not a singularity of @xmath2 w.r.t "}
{"subject": "math:arxiv_104836", "predicate": "proves", "object": "we study the deeply virtual compton scattering off a spin - one particle , as the case for the coher"}
{"subject": "math:arxiv_104837", "predicate": "proves", "object": "we prove a recent conjecture on the duality relation for correlation functions of the potts model fo"}
{"subject": "math:arxiv_104838", "predicate": "proves", "object": "it is shown that the effect of transmission loss has often not been properly taken into account in t"}
{"subject": "math:arxiv_104842", "predicate": "proves", "object": "we discuss some properties of the spectral triple @xmath0 describing the internal space in the nonco"}
{"subject": "math:arxiv_104844", "predicate": "proves", "object": "following some strong argumentations of differential geometry in the landau s book , some correction"}
{"subject": "math:arxiv_104847", "predicate": "proves", "object": "by the standard theory , the stable /@xmath0 divergence - free element converges with the optimal or"}
{"subject": "math:arxiv_104849", "predicate": "proves", "object": "results from a numerical and analytical investigation of the solution of a nonlinear axially symmetr"}
{"subject": "math:arxiv_104862", "predicate": "proves", "object": "the euler - maclaurin summation formula relates a sum of a function to a corresponding integral , wi"}
{"subject": "math:arxiv_104868", "predicate": "proves", "object": "the spin frequency distribution of accreting millisecond x - ray pulsars cuts off sharply above 730 "}
{"subject": "math:arxiv_104871", "predicate": "proves", "object": "the many - body diffusion quantum monte carlo ( dmc ) method with twist - averaged boundary conditio"}
{"subject": "math:arxiv_104873", "predicate": "proves", "object": "we investigate high density state of su(2 ) qcd in the case of the wilson fermions with iwasaki impr"}
{"subject": "math:arxiv_104882", "predicate": "proves", "object": "the kohn - sham ( ks ) equations determine , in a self - consistent way , the particle density of an"}
{"subject": "math:arxiv_104885", "predicate": "proves", "object": "gravitational collapse of a shell of dust in noncommutative geometry is probed by the renormalized g"}
{"subject": "math:arxiv_104889", "predicate": "proves", "object": "we demonstrate counterexamples to wilmshurst s conjecture on the valence of harmonic polynomials in "}
{"subject": "math:arxiv_104893", "predicate": "proves", "object": "the shear - transformation - zone ( stz ) theory of plastic deformation in glass - forming materials"}
{"subject": "math:arxiv_104897", "predicate": "proves", "object": "we show that the riccati \n pad method is suitable for the calculation of the complex eigenvalues of "}
{"subject": "math:arxiv_104914", "predicate": "proves", "object": "we present a manifestly rotational invariant formulation of the matrix product method valid for spin"}
{"subject": "math:arxiv_104921", "predicate": "proves", "object": "polarized toric varieties which are birationally equivalent to projective toric bundles are associat"}
{"subject": "math:arxiv_104925", "predicate": "proves", "object": "we calculate the probability of destruction of a metastable string by collisions of the goldstone bo"}
{"subject": "math:arxiv_104949", "predicate": "proves", "object": "we prove the conjecture of chen , wang and liu in @xcite concerning how to calculate the parameter v"}
{"subject": "math:arxiv_104958", "predicate": "proves", "object": "in continuum mechanics , the equations of motion for mixtures were derived through the use of a vari"}
{"subject": "math:arxiv_104975", "predicate": "proves", "object": "the relations existing between the auxiliary field ( einbein field ) formalism and the spinless salp"}
{"subject": "math:arxiv_105004", "predicate": "proves", "object": "we analyze statistical consequences of a conjecture that there exists a fundamental ( indivisible ) "}
{"subject": "math:arxiv_105016", "predicate": "proves", "object": "homogeneous isotropic gravitating models are discussed in the framework of gauge approach to gravita"}
{"subject": "math:arxiv_105020", "predicate": "proves", "object": "for hexagonal nets , descriptive of \\{111 } fcc surfaces , we derive from combinatoric arguments a s"}
{"subject": "math:arxiv_105024", "predicate": "proves", "object": "the aim of the paper is to give a synthetic proof that in a symmetric minkowski plane the benz s ( g"}
{"subject": "math:arxiv_105046", "predicate": "proves", "object": "for discrete - state stochastic systems obeying markovian dynamics , we establish the counterpart of"}
{"subject": "math:arxiv_105067", "predicate": "proves", "object": "the equations of state for neutron matter , strange and non - strange hadronic matter in a chiral su"}
{"subject": "math:arxiv_105069", "predicate": "proves", "object": "in this paper , we constrain dark energy models using a compendium of observations at low redshifts "}
{"subject": "math:arxiv_105086", "predicate": "proves", "object": "we consider hamiltonian closures of the vlasov equation using the phase - space moments of the distr"}
{"subject": "math:arxiv_105100", "predicate": "proves", "object": "we employ partial integro - differential equations to model trophic interaction in a spatially exten"}
{"subject": "math:arxiv_105103", "predicate": "proves", "object": "exact particle - like static , spherically and/or cylindrically symmetric solutions to the equations"}
{"subject": "math:arxiv_105115", "predicate": "proves", "object": "let @xmath0 be a compact riemmanian manifold of dimension @xmath1 . \n let @xmath2 be the semiclassic"}
{"subject": "math:arxiv_105122", "predicate": "proves", "object": "the large - scale distribution of galaxies is generally analyzed using the two - point correlation f"}
{"subject": "math:arxiv_105125", "predicate": "proves", "object": "we study an integro - differential equation that describes the slow erosion of granular flow . \n the"}
{"subject": "math:arxiv_105151", "predicate": "proves", "object": "it is well known that multigrid methods are optimally efficient for solution of elliptic equations ("}
{"subject": "math:arxiv_105152", "predicate": "proves", "object": "given a lagrangian submanifold in a symplectic manifold and a morse function on the submanifold , we"}
{"subject": "math:arxiv_105153", "predicate": "proves", "object": "usually a riemannian geometry is considered to be the most general geometry , which could be used as"}
{"subject": "math:arxiv_105159", "predicate": "proves", "object": "in this letter we summarize our analysis of bose - einstein condensation on closed robertson - walke"}
{"subject": "math:arxiv_105188", "predicate": "proves", "object": "in this thesis , we study singular pseudo - differential operators defined by groupoids satisfying t"}
{"subject": "math:arxiv_105189", "predicate": "proves", "object": "we review the derivation of the effective dirac equation for ultracold atoms in one - dimensional bi"}
{"subject": "math:arxiv_105195", "predicate": "proves", "object": "we prove that the algebra @xmath0 of chord diagrams , the dual to the associated graded algebra of v"}
{"subject": "math:arxiv_105202", "predicate": "proves", "object": "the energy - momentum relations for massive and massless particles are @xmath0 and @xmath1 respectiv"}
{"subject": "math:arxiv_105206", "predicate": "proves", "object": "considering the finite volume of nucleons , a lagrangian density is given . \n the first order self -"}
{"subject": "math:arxiv_105214", "predicate": "proves", "object": "using the relativistic version of landau theory of fermi liquid with @xmath0 and @xmath1 mesons exch"}
{"subject": "math:arxiv_105238", "predicate": "proves", "object": "we investigate the existence of envelope soliton solutions in collisionless quantum plasmas , using "}
{"subject": "math:arxiv_105243", "predicate": "proves", "object": "in 1940 , luis santal proved a helly - type theorem for line transversals to boxes in @xmath0 . \n an"}
{"subject": "math:arxiv_105246", "predicate": "proves", "object": "we study a model of a multi - species ecosystem described by lotka - volterra - like equations . \n i"}
{"subject": "math:arxiv_105260", "predicate": "proves", "object": "we review the theory of intrinsic geometry of convex surfaces in the euclidean space and prove the f"}
{"subject": "math:arxiv_105266", "predicate": "proves", "object": "the landau levels of scalar qed undergo continuous transitions under a homogeneous , time - dependen"}
{"subject": "math:arxiv_105268", "predicate": "proves", "object": "we propose and illustrate an approach to coarse - graining the dynamics of evolving networks ( netwo"}
{"subject": "math:arxiv_105310", "predicate": "proves", "object": "one step towards realistic kaluza - klein[like ] theories and a loop hole through the witten s `` no"}
{"subject": "math:arxiv_105342", "predicate": "proves", "object": "a new , constructive proof with a small explicit constant is given to the erds - pyber theorem which"}
{"subject": "math:arxiv_105365", "predicate": "proves", "object": "assuming that the universe contains a dark energy fluid with a constant linear equation of state and"}
{"subject": "math:arxiv_105366", "predicate": "proves", "object": "firstly , a systematic procedure is derived for obtaining three - dimensional bound - state equation"}
{"subject": "math:arxiv_105367", "predicate": "proves", "object": "starting from the description of space - time as a curved four - dimensional manifold , null gaussia"}
{"subject": "math:arxiv_105384", "predicate": "proves", "object": "in this paper we analyze a nonlinear black  scholes model for option pricing under variable transact"}
{"subject": "math:arxiv_105403", "predicate": "proves", "object": "the de broglie - bohm interpretation of quantum mechanics assigns positions and trajectories to part"}
{"subject": "math:arxiv_105413", "predicate": "proves", "object": "by changing to an orthogonal basis , we give a short proof that the subfactor of the graded algebra "}
{"subject": "math:arxiv_105427", "predicate": "proves", "object": "the bulk and shear viscosities of a pion gas is obtained by solving the relativistic transport equat"}
{"subject": "math:arxiv_105437", "predicate": "proves", "object": "we derive a general formula of the reduced fidelity susceptibility when the reduced density matrix i"}
{"subject": "math:arxiv_105455", "predicate": "proves", "object": "this paper proposes and analyzes two fully discrete mixed interior penalty discontinuous galerkin ( "}
{"subject": "math:arxiv_105456", "predicate": "proves", "object": "in a model with dynamical gluon mass , we investigate the bound states of two and three gluons via a"}
{"subject": "math:arxiv_105465", "predicate": "proves", "object": "we show that the classification of simple finite group schemes over an algebraically closed field re"}
{"subject": "math:arxiv_105466", "predicate": "proves", "object": "a classical limit theorem of stochastic process theory concerns the sample cumulative distribution f"}
{"subject": "math:arxiv_105470", "predicate": "proves", "object": "a new singularity free model of anisotroipic compact star is proposed . \n the einstein field equatio"}
{"subject": "math:arxiv_105473", "predicate": "proves", "object": "we present a numerically efficient method for the characterisation of a quantum process subject to d"}
{"subject": "math:arxiv_105477", "predicate": "proves", "object": "we develop and analyse a numerical method for the time - fractional nonlocal thermistor problem . by"}
{"subject": "math:arxiv_105493", "predicate": "proves", "object": "gdel s second incompleteness theorem is proved for herbrand consistency of some arithmetical theorie"}
{"subject": "math:arxiv_105494", "predicate": "proves", "object": "the fredholm equations for one - dimensional two - component fermions with repulsive and with attrac"}
{"subject": "math:arxiv_105501", "predicate": "proves", "object": "the linearised time dependent coupled gross - pitaevskii equations describing the long wavelength ex"}
{"subject": "math:arxiv_105510", "predicate": "proves", "object": "we consider shape and topology optimization for fluids which are governed by the navier  stokes equa"}
{"subject": "math:arxiv_105517", "predicate": "proves", "object": "under general conditions , the equation @xmath0 implicitly defines @xmath1 locally as a function of "}
{"subject": "math:arxiv_105518", "predicate": "proves", "object": "the reducible specht modules for the hecke algebra @xmath0 have been classified except when @xmath1 "}
{"subject": "math:arxiv_105567", "predicate": "proves", "object": "a rectangular wilson loop with sides parallel to space and time directions is perturbatively evaluat"}
{"subject": "math:arxiv_105592", "predicate": "proves", "object": "equations of gravity when projected on spacetime horizons resemble navier - stokes equation of a flu"}
{"subject": "math:arxiv_105599", "predicate": "proves", "object": "the anisotropic 3d equation describing the pointlike particles diffusion in slender impermeable tube"}
{"subject": "math:arxiv_105608", "predicate": "proves", "object": "we prove that the height of any algebraic computation tree for deciding membership in a semialgebrai"}
{"subject": "math:arxiv_105611", "predicate": "proves", "object": "we offer a new construction of lagrangian submanifolds for the gopakumar - vafa conjecture relating "}
{"subject": "math:arxiv_105614", "predicate": "proves", "object": "we use quantum invariants to define a 3-manifold invariant @xmath0 which lies in the non - negative "}
{"subject": "math:arxiv_105625", "predicate": "proves", "object": "we consider the dirac equation in the magnetic - solenoid field ( the field of a solenoid and a coll"}
{"subject": "math:arxiv_105640", "predicate": "proves", "object": "we present a method for calculating the full current noise spectrum @xmath0 for the class of nano - "}
{"subject": "math:arxiv_105653", "predicate": "proves", "object": "a haldane conjecture is revealed for spin - singlet charge modes in @xmath0-component fermionic cold"}
{"subject": "math:arxiv_105662", "predicate": "proves", "object": "the influence of optical scattering and thermal radiation models an the yarkovsky - okeefe - radziev"}
{"subject": "math:arxiv_105677", "predicate": "proves", "object": "we asymptotically derive a non - linear langevin - like equation with non - gaussian white noise for"}
{"subject": "math:arxiv_105679", "predicate": "proves", "object": "we give a proof of the sxp rule expressing the plethysm @xmath0 of a schur function and a power sum "}
{"subject": "math:arxiv_105690", "predicate": "proves", "object": "a novel energy minimization formulation of electrostatics that allows computation of the electrostat"}
{"subject": "math:arxiv_105697", "predicate": "proves", "object": "the resonant transmission of a moving particle which interacts with an one - dimensional array of @x"}
{"subject": "math:arxiv_105700", "predicate": "proves", "object": "we generalize the ham sandwich theorem to @xmath0 measures on @xmath1 as follows . \n let @xmath2 be "}
{"subject": "math:arxiv_105726", "predicate": "proves", "object": "the semi - discrete convolution with the box spline is an important tool in approximation theory . \n"}
{"subject": "math:arxiv_105735", "predicate": "proves", "object": "we consider the use of a traveling wave probe to continuously measure the quantum state of an atom i"}
{"subject": "math:arxiv_105759", "predicate": "proves", "object": "we obtain exact solutions of the one - dimensional schrdinger equation for some families of associat"}
{"subject": "math:arxiv_105787", "predicate": "proves", "object": "solutions of geodesic equations describing propagation of gravitons in the bulk are studied in a cos"}
{"subject": "math:arxiv_105792", "predicate": "proves", "object": "the quark dynamics inside light mesons , except pseudoscalar ones , can be quite well described by a"}
{"subject": "math:arxiv_105793", "predicate": "proves", "object": "the formula for dark energy density derived by gurzadyan and xue is the only formula which provides "}
{"subject": "math:arxiv_105813", "predicate": "proves", "object": "we study linearization models for continuous one - parameter semigroups of parabolic type . \n in par"}
{"subject": "math:arxiv_105820", "predicate": "proves", "object": "in this paper , an intuitive mathematical formulation is provided to generalize the residual entangl"}
{"subject": "math:arxiv_105833", "predicate": "proves", "object": "a new 5d thick brane solution is presented . \n we conjecture that the deduced thick brane is a plane"}
{"subject": "math:arxiv_105835", "predicate": "proves", "object": "within a first - order framework , we comprehensively examine the role played by boundary conditions"}
{"subject": "math:arxiv_105843", "predicate": "proves", "object": "by means of certain limit technique , two kinds of generalized darboux transformations are construct"}
{"subject": "math:arxiv_105853", "predicate": "proves", "object": "in the paper a new class of exact localized solutions of dirac s equation in the field of a circular"}
{"subject": "math:arxiv_105854", "predicate": "proves", "object": "@xmath0 gauge theory in the 2-index symmetric ( sextet ) and fundamental representations is consider"}
{"subject": "math:arxiv_105859", "predicate": "proves", "object": "we delineate the properties of qcd matter at baryon density @xmath0 ( @xmath1 : nuclear saturation d"}
{"subject": "math:arxiv_105860", "predicate": "proves", "object": "lifshitz and hyperscaling violating geometries , which provide a holographic description of non - re"}
{"subject": "math:arxiv_105882", "predicate": "proves", "object": "we investigate constraints on dark energy fluctuations using type ia supernovae . if dark energy is "}
{"subject": "math:arxiv_105884", "predicate": "proves", "object": "in this paper , we first classify singular fibers of proper @xmath0 stable maps of @xmath1-dimension"}
{"subject": "math:arxiv_105888", "predicate": "proves", "object": "the piece - wise parabolic method ( ppm ) is applied to simulations of forced isotropic turbulence w"}
{"subject": "math:arxiv_105895", "predicate": "proves", "object": "let @xmath0 be a holomorphic symplectic manifold , of dimension divisible by 4 , and @xmath1 an anti"}
{"subject": "math:arxiv_105902", "predicate": "proves", "object": "we obtain a formula for the determinant of a block toeplitz matrix associated with a quadratic fermi"}
{"subject": "math:arxiv_105930", "predicate": "proves", "object": "the most probable transition path in a one - dimensional overdamped system is rigorously proved to p"}
{"subject": "math:arxiv_105934", "predicate": "proves", "object": "two dimensional quantum r@xmath0-gravity is formulated in the semiclassical method . \n the thermodyn"}
{"subject": "math:arxiv_105944", "predicate": "proves", "object": "many alternative formulations of einstein s evolution have lately been examined , in an effort to di"}
{"subject": "math:arxiv_105953", "predicate": "proves", "object": "we compare two different bilateral counterparty valuation adjustment ( bva ) formulas . \n the first "}
{"subject": "math:arxiv_105980", "predicate": "proves", "object": "the klein - gordon equation in @xmath0-dimensions for a recently proposed kratzer potential plus rin"}
{"subject": "math:arxiv_105994", "predicate": "proves", "object": "we present a detailed study of the two  body strong decays of light mesons . both the space part and"}
{"subject": "math:arxiv_106000", "predicate": "proves", "object": "a representation theory of finite electromagnetic beams in free space is formulated by introducing a"}
{"subject": "math:arxiv_106014", "predicate": "proves", "object": "it is known that two supermassive black holes ( smbhs ) can not merge in a spherical galaxy within a"}
{"subject": "math:arxiv_106024", "predicate": "proves", "object": "a new approach to the contact to coated elastic materials is presented . \n a relatively simple numer"}
{"subject": "math:arxiv_106040", "predicate": "proves", "object": "the ostrovsky  hunter equation governs evolution of shallow water waves on a rotating fluid in the l"}
{"subject": "math:arxiv_106058", "predicate": "proves", "object": "analytical expressions for the transition probability and the energy spectrum of the @xmath0 schrdin"}
{"subject": "math:arxiv_106073", "predicate": "proves", "object": "we study the evolution of cooperation in the prisoner s dilemma game , whereby a coevolutionary rule"}
{"subject": "math:arxiv_106082", "predicate": "proves", "object": "in this study , the analytic expressions of the steady probability distribution of tumor cells were "}
{"subject": "math:arxiv_106093", "predicate": "proves", "object": "given a group @xmath0 and an abelian @xmath1-algebra @xmath2 the antihomomorphisms @xmath3 are in on"}
{"subject": "math:arxiv_106098", "predicate": "proves", "object": "we propose an exactly solvable model of one - dimensional anyons with competing @xmath0-function and"}
{"subject": "math:arxiv_106100", "predicate": "proves", "object": "topological data analysis ( tda ) refers to an approach that uses concepts from algebraic topology t"}
{"subject": "math:arxiv_106113", "predicate": "proves", "object": "carnot s theorem poses a fundamental limit on the maximum efficiency achievable from an engine that "}
{"subject": "math:arxiv_106116", "predicate": "proves", "object": "we present new numerical cosmological solutions of the einstein field equations . \n the spacetime is"}
{"subject": "math:arxiv_106129", "predicate": "proves", "object": "the different natures of approximate symmetries and their corresponding first integrals / invariants"}
{"subject": "math:arxiv_106131", "predicate": "proves", "object": "let @xmath0 and @xmath1 be smooth ( real or complex ) manifolds , and let @xmath0 be equipped with s"}
{"subject": "math:arxiv_106139", "predicate": "proves", "object": "we solve the duffin - kemmer - ptiau equation in the presence of a spatially one - dimensional symme"}
{"subject": "math:arxiv_106148", "predicate": "proves", "object": "travelling solitary waves in the one - dimensional discrete nonlinear schrdinger equation ( dnlse ) "}
{"subject": "math:arxiv_106159", "predicate": "proves", "object": "we give again the proof of several classical results concerning the cyclotomic approach to fermat@xm"}
{"subject": "math:arxiv_106164", "predicate": "proves", "object": "we establish an axiomatization for quantum processes , which is a quantum generalization of process "}
{"subject": "math:arxiv_106171", "predicate": "proves", "object": "we study certain types of piecewise smooth lagrangian fibrations of smooth symplectic manifolds , wh"}
{"subject": "math:arxiv_106213", "predicate": "proves", "object": "we prove that two natural definitions of residuality of families of @xmath0 sets are equivalent . \n "}
{"subject": "math:arxiv_106215", "predicate": "proves", "object": "an interfacial approximation of the streamer stage in the evolution of sparks and lightning can be f"}
{"subject": "math:arxiv_106218", "predicate": "proves", "object": "this article investigates the properties of the solutions of the dispersionless two - component burg"}
{"subject": "math:arxiv_106253", "predicate": "proves", "object": "in the framework of the evolutionary dynamics of the prisoner s dilemma game on complex networks , w"}
{"subject": "math:arxiv_106261", "predicate": "proves", "object": "a matrix formulation is derived for the calculation of the swimming speed and the power required for"}
{"subject": "math:arxiv_106269", "predicate": "proves", "object": "following sutherland s work on one - dimensional integrable systems we formulate and study its two -"}
{"subject": "math:arxiv_106278", "predicate": "proves", "object": "we consider a metapopulation version of the schelling model of segregation over several complex netw"}
{"subject": "math:arxiv_106289", "predicate": "proves", "object": "the @xmath0 deformation of the @xmath1 superstring depends on a non - split @xmath2 matrix for the s"}
{"subject": "math:arxiv_106290", "predicate": "proves", "object": "this work introduces a new inversion formula for analytical functions . \n it is simple , generally a"}
{"subject": "math:arxiv_106291", "predicate": "proves", "object": "_ we extend noether s symmetry theorem to fractional action - like variational problems with higher "}
{"subject": "math:arxiv_106297", "predicate": "proves", "object": "a theory of position of massive bodies is proposed that results in an observable quantum behavior of"}
{"subject": "math:arxiv_106306", "predicate": "proves", "object": "we present a class of higher dimensional solutions to gauss - bonnet - maxwell equations in @xmath0 "}
{"subject": "math:arxiv_106307", "predicate": "proves", "object": "path integral monte carlo simulations have been used to study deuterium at high pressure and tempera"}
{"subject": "math:arxiv_106314", "predicate": "proves", "object": "we classify the second order , linear , two by two systems for which the two fundamental theorems fo"}
{"subject": "math:arxiv_106318", "predicate": "proves", "object": "in this short note , we show that the real function recently proposed by bruce j. west [ exact solut"}
{"subject": "math:arxiv_106331", "predicate": "proves", "object": "nondegenerate geometry ( t - geometry ) with nonsymmetric world function is considered . in applicat"}
{"subject": "math:arxiv_106339", "predicate": "proves", "object": "in this paper we undertake the error analysis of the time discretization of systems of forward - bac"}
{"subject": "math:arxiv_106347", "predicate": "proves", "object": "we consider d - particles coupled to the cghs dilaton gravity and obtain the exact wormhole geometry"}
{"subject": "math:arxiv_106366", "predicate": "proves", "object": "scattering equations for tree - level amplitudes are viewed in the context of string theory . to thi"}
{"subject": "math:arxiv_106378", "predicate": "proves", "object": "we show how to derive a simple integrator for the langevin equation and illustrate how it is possibl"}
{"subject": "math:arxiv_106387", "predicate": "proves", "object": "we prove a weyl harish - chandra integration formula for the action of a reductive dual pair on the "}
{"subject": "math:arxiv_106400", "predicate": "proves", "object": "we investigate here the particle acceleration and high energy collision in the kerr geometry contain"}
{"subject": "math:arxiv_106405", "predicate": "proves", "object": "in this paper , we will determine the topological types of hyperbolic 3-manifolds @xmath0 such that "}
{"subject": "math:arxiv_106410", "predicate": "proves", "object": "we simulate convection near the solar surface , where the continuum optical depth is of order unity "}
{"subject": "math:arxiv_106418", "predicate": "proves", "object": "the geometric analysis of the gyromotion for charged particles in a time - dependent magnetic field "}
{"subject": "math:arxiv_106433", "predicate": "proves", "object": "we study the dynamics of skyrmions in dzyaloshinskii - moriya materials with easy - axis anisotropy "}
{"subject": "math:arxiv_106447", "predicate": "proves", "object": "the cubic complex ginzburg - landau equation is one of the most - studied nonlinear equations in the"}
{"subject": "math:arxiv_106449", "predicate": "proves", "object": "critical behavior of solitonic waveforms of bose - einstein condensates in optical lattices ( ol ) h"}
{"subject": "math:arxiv_106450", "predicate": "proves", "object": "three - body resonances in the @xmath0 system have been studied within a framework of the @xmath1 co"}
{"subject": "math:arxiv_106460", "predicate": "proves", "object": "we prove a paley - wiener theorem for a class of symmetric spaces of the compact type , in which all"}
{"subject": "math:arxiv_106478", "predicate": "proves", "object": "the present study deals with spatially homogeneous and anisotropic bianchi type i cosmological model"}
{"subject": "math:arxiv_106482", "predicate": "proves", "object": "we report our study of the optical pumping effect in absorption imaging of @xmath0na atoms in the @x"}
{"subject": "math:arxiv_106491", "predicate": "proves", "object": "given a proper map @xmath0 , having cell - like point - inverses , from a manifold - without - bound"}
{"subject": "math:arxiv_106532", "predicate": "proves", "object": "the alternative to the standard formulation of qpm in the infinite momentum frame is suggested . \n t"}
{"subject": "math:arxiv_106543", "predicate": "proves", "object": "we investigate the self - consistent electrodynamic structure of a particle accelerator in the crab "}
{"subject": "math:arxiv_106545", "predicate": "proves", "object": "i propose a system for automated theorem proving in higher order logic using deep learning and esche"}
{"subject": "math:arxiv_106549", "predicate": "proves", "object": "a geometric approach to formulate the uncertainty principle between quantum observables acting on an"}
{"subject": "math:arxiv_106550", "predicate": "proves", "object": "the dynamics of collisionless galaxy can be described by the vlasov - poisson system . by the jean s"}
{"subject": "math:arxiv_106562", "predicate": "proves", "object": "the current formulation of the optimal scheduling of appliance energy consumption uses as optimizati"}
{"subject": "math:arxiv_106564", "predicate": "proves", "object": "we investigate the quasinormal mode frequencies for the massless dirac field in static four dimensio"}
{"subject": "math:arxiv_106569", "predicate": "proves", "object": "we study the schrdinger equation which comes from the paraxial approximation of the helmholtz equati"}
{"subject": "math:arxiv_106611", "predicate": "proves", "object": "we show that the center of the goldman algebra associated to a closed oriented hyperbolic surface is"}
{"subject": "math:arxiv_106620", "predicate": "proves", "object": "i introduce a new parametrization of a bosonic lax operator for the algebraic bethe ansatz method wi"}
{"subject": "math:arxiv_106623", "predicate": "proves", "object": "we theoretically consider the amplification of thz radiation in a superlattice bloch oscillator . th"}
{"subject": "math:arxiv_106640", "predicate": "proves", "object": "bicommutant categories are higher categorical analogs of von neumann algebras that were recently int"}
{"subject": "math:arxiv_106655", "predicate": "proves", "object": "even within the constrained minimal supersymmetric standard model ( cmssm ) it is possible to induce"}
{"subject": "math:arxiv_106662", "predicate": "proves", "object": "most parametrizations for dark energy involve the equation of state @xmath0 of the dark energy . in "}
{"subject": "math:arxiv_106680", "predicate": "proves", "object": "on a riemannian or a semiriemannian manifold , the metric determines invariants like the levi - civi"}
{"subject": "math:arxiv_106682", "predicate": "proves", "object": "motivated by the study of certain non linear free - boundary value problems for hyperbolic systems o"}
{"subject": "math:arxiv_106706", "predicate": "proves", "object": "we provide further evidence for the nontrivial interplay between geometry and temperature in the cas"}
{"subject": "math:arxiv_106713", "predicate": "proves", "object": "a microscopic theory of linear response based on the vlasov equation is extended to systems having s"}
{"subject": "math:arxiv_106739", "predicate": "proves", "object": "we give a general construction for the classical limit of a quantum system defined in terms of gener"}
{"subject": "math:arxiv_106751", "predicate": "proves", "object": "we have developed a coupled equations continuum model that explains the complex surface shapes obser"}
{"subject": "math:arxiv_106759", "predicate": "proves", "object": "we outline briefly results and examples related with the bijectivity of the norm residue homomorphis"}
{"subject": "math:arxiv_106769", "predicate": "proves", "object": "two examples of spectral triples with non - integer dimension spectrum are considered . \n these trip"}
{"subject": "math:arxiv_106775", "predicate": "proves", "object": "let @xmath0 be a nontrivial finite subgroup of @xmath1 . \n suppose that the quotient singularity @xm"}
{"subject": "math:arxiv_106777", "predicate": "proves", "object": "in this paper we define and study flexible links and flexible isotopy in @xmath0 . \n flexible links "}
{"subject": "math:arxiv_106787", "predicate": "proves", "object": "in this paper , the annihilation of dark matter @xmath0 with nonzero equation of state @xmath1 was s"}
{"subject": "math:arxiv_106795", "predicate": "proves", "object": "in this paper , we show that every quasiorder @xmath0 induces a nelson algebra @xmath1 such that the"}
{"subject": "math:arxiv_106808", "predicate": "proves", "object": "we find a method to rewrite the equations of motion of scalar fields , generalized dbi field and qui"}
{"subject": "math:arxiv_106825", "predicate": "proves", "object": "we present the first numerical solutions of the coupled einstein - maxwell equations describing rapi"}
{"subject": "math:arxiv_106829", "predicate": "proves", "object": "we develop a graphical notation to introduce classical lie algebras . \n although this paper deals wi"}
{"subject": "math:arxiv_106845", "predicate": "proves", "object": "we solve the rotational abrasion model of roth , marques and durian [ phys . \n rev . \n e ( 2010 ) ] "}
{"subject": "math:arxiv_106876", "predicate": "proves", "object": "in this paper we use the strength of the constraint method in combination with a generalized borsuk "}
{"subject": "math:arxiv_106880", "predicate": "proves", "object": "frw universe in rs ii braneworld model filled with a combination of dark matter and dark energy in t"}
{"subject": "math:arxiv_106884", "predicate": "proves", "object": "chiral surface states in topological insulators are robust against interactions , non - magnetic dis"}
{"subject": "math:arxiv_106906", "predicate": "proves", "object": "we model a charged anisotropic relativistic star with a quadratic equation of state . physical featu"}
{"subject": "math:arxiv_106910", "predicate": "proves", "object": "higher than the lowest landau level contributions to magnetization and specific heat of superconduct"}
{"subject": "math:arxiv_106911", "predicate": "proves", "object": "the qcd gluon equation of motion is solved approximately by means of the green function . \n this sol"}
{"subject": "math:arxiv_106930", "predicate": "proves", "object": "we study the scattering of solitons in the nonlinear schrdinger equation on local inhomogeneities wh"}
{"subject": "math:arxiv_106947", "predicate": "proves", "object": "we have studied natural purity @xmath0he single crystals and polycrystals between 10 and 600 mk usin"}
{"subject": "math:arxiv_106990", "predicate": "proves", "object": "we developed a method to make gem foils with a spherical geometry . \n tests of this procedure and wi"}
{"subject": "math:arxiv_106993", "predicate": "proves", "object": "in this paper we show how to combinatorically compute the rotation class of a large family of embedd"}
{"subject": "math:arxiv_107005", "predicate": "proves", "object": "we conjecture a geometric criterion for determining whether supersymmetry is spontaneously broken in"}
{"subject": "math:arxiv_107015", "predicate": "proves", "object": "when traditional linearised theory is used to study gravity - capillary waves produced by flow past "}
{"subject": "math:arxiv_107021", "predicate": "proves", "object": "a leading - power factorization formula for weight functions relating the @xmath0 photon spectrum to"}
{"subject": "math:arxiv_107039", "predicate": "proves", "object": "for a ( single - source ) multicast network , the size of a base field is the most known and studied"}
{"subject": "math:arxiv_107046", "predicate": "proves", "object": "the collatz , or @xmath0 , conjecture claims that for every positive integer @xmath1 , there exists "}
{"subject": "math:arxiv_107047", "predicate": "proves", "object": "we solve a long standing open problem concerning the structure of finite cycles in the category @xma"}
{"subject": "math:arxiv_107077", "predicate": "proves", "object": "we give new proofs for the hardness amplification of efficiently samplable predicates and of weakly "}
{"subject": "math:arxiv_107081", "predicate": "proves", "object": "degenerate fermi gases of atoms near a feshbach resonance show universal thermodynamic properties , "}
{"subject": "math:arxiv_107082", "predicate": "proves", "object": "we study the properties of an approximation of the laplace operator with neumann boundary conditions"}
{"subject": "math:arxiv_107087", "predicate": "proves", "object": "we extended our formulation of causal dissipative hydrodynamics [ t. koide _ \n et al . _ , \n phys . "}
{"subject": "math:arxiv_107095", "predicate": "proves", "object": "in the context of metric @xmath0 gravity , the geodesic deviation equation ( gde ) was first studied"}
{"subject": "math:arxiv_107130", "predicate": "proves", "object": "in this paper we extend the shiryaev s quickest change detection formulation by also accounting for "}
{"subject": "math:arxiv_107131", "predicate": "proves", "object": "a new analysis is presented for the direct - sequence code - division multiple access ( ds - cdma ) "}
{"subject": "math:arxiv_107142", "predicate": "proves", "object": "in 1996 , matheson and tarjan conjectured that any @xmath0-vertex plane triangulation with @xmath0 s"}
{"subject": "math:arxiv_107144", "predicate": "proves", "object": "we investigate in this paper the superharmonic and subharmonic resonances of forced modified rayleig"}
{"subject": "math:arxiv_107145", "predicate": "proves", "object": "employing time - dependent projection formalism , a fokker - planck equation with non - markovian tr"}
{"subject": "math:arxiv_107149", "predicate": "proves", "object": "we examine the process of element segregation by gravity in giant elliptical galaxies and x - ray cl"}
{"subject": "math:arxiv_107157", "predicate": "proves", "object": "this article considers estimation of constant and time - varying coefficients in nonlinear ordinary "}
{"subject": "math:arxiv_107160", "predicate": "proves", "object": "we give the evolution and constraint equations on an asymmetrically embedded brane in the form of av"}
{"subject": "math:arxiv_107197", "predicate": "proves", "object": "we use a set of schwinger - dyson equations for the ising model to check several random number gener"}
{"subject": "math:arxiv_107206", "predicate": "proves", "object": "we employ hydrodynamic equations to investigate non - stationary channel flows of freely cooling dil"}
{"subject": "math:arxiv_107213", "predicate": "proves", "object": "for a finite directed graph @xmath0 we determine the center of the cuntz - krieger @xmath1-algebra @"}
{"subject": "math:arxiv_107223", "predicate": "proves", "object": "this paper considers a portfolio trading strategy formulated by algorithms in the field of machine l"}
{"subject": "math:arxiv_107224", "predicate": "proves", "object": "we estimate the covariance in counts of almost - primes in @xmath0 $ ] , weighted by higher - order "}
{"subject": "math:arxiv_107249", "predicate": "proves", "object": "we provide a formula for the number of edges of the hasse diagram of the independent subsets of the "}
{"subject": "math:arxiv_107254", "predicate": "proves", "object": "in `` octonion algebra and its connection to physics '' @xcite an algorithm on octonions is brought "}
{"subject": "math:arxiv_107308", "predicate": "proves", "object": "we study the cauchy problem for the sine - gordon equation in the semiclassical limit with pure - im"}
{"subject": "math:arxiv_107311", "predicate": "proves", "object": "let @xmath0 be a hopf algebra in a braided rigid category @xmath1 . in the case \n @xmath1 admits a c"}
{"subject": "math:arxiv_107317", "predicate": "proves", "object": "energies of four - quark systems with the tetrahedral geometry measured by the static quenched su(2 "}
{"subject": "math:arxiv_107319", "predicate": "proves", "object": "recently introduced constitutive equations for the rheology of dense , disordered materials are inve"}
{"subject": "math:arxiv_107320", "predicate": "proves", "object": "the _ non - equilibrium _ self - consistent generalized langevin equation ( ne - scgle ) theory of i"}
{"subject": "math:arxiv_107327", "predicate": "proves", "object": "+ 1 we study the spectral zeta functions associated to the radial schrdinger problem with potential "}
{"subject": "math:arxiv_107366", "predicate": "proves", "object": "the prisoner s dilemma is the main game theoretical framework in which the onset and maintainance of"}
{"subject": "math:arxiv_107393", "predicate": "proves", "object": "we show how to do gauge theory on the octonions and other nonassociative algebras such as ` fuzzy @x"}
{"subject": "math:arxiv_107399", "predicate": "proves", "object": "bound states of the power - law and logarithmic potentials are calculated using a generalized pseudo"}
{"subject": "math:arxiv_107417", "predicate": "proves", "object": "let @xmath0 be a connected reductive linear algebraic group over @xmath1 with an involution @xmath2 "}
{"subject": "math:arxiv_107419", "predicate": "proves", "object": "could the location of the maximum point for a positive solution of a semilinear poisson equation on "}
{"subject": "math:arxiv_107436", "predicate": "proves", "object": "numerical methods are developed to simulate the wave propagation in heterogeneous 2d fluid / poroela"}
{"subject": "math:arxiv_107442", "predicate": "proves", "object": "to address a question of whether the chiral magnetic current is a static polarization or a genuine f"}
{"subject": "math:arxiv_107444", "predicate": "proves", "object": "the electromagnetic form factors of vector mesons are calculated in an explicitly poincar covariant "}
{"subject": "math:arxiv_107445", "predicate": "proves", "object": "we investigate exact symmetries of a staggered fermion in d dimensions . \n the dirac operator is ref"}
{"subject": "math:arxiv_107456", "predicate": "proves", "object": "we propose a formulation to obtain the line shape of a magnetic response with dissipative effects th"}
{"subject": "math:arxiv_107480", "predicate": "proves", "object": "noncommutative field theories on moyal spaces can be conveniently handled within a framework of nonc"}
{"subject": "math:arxiv_107506", "predicate": "proves", "object": "in this paper we analyze the dispersion property of some models involving schrdinger equations . \n f"}
{"subject": "math:arxiv_107507", "predicate": "proves", "object": "i analyze the higgs mechanism at the graviton level inside the non - linear theory of massive gravit"}
{"subject": "math:arxiv_107508", "predicate": "proves", "object": "we obtain the exceptional part of the eigenspectrum of the generalised rabi model , also known as th"}
{"subject": "math:arxiv_107520", "predicate": "proves", "object": "we study the extension of a phenomenologically successful quasiparticle model that describes lattice"}
{"subject": "math:arxiv_107521", "predicate": "proves", "object": "these notes represent an extended version of a talk i gave for the participants of the imo  2009 and"}
{"subject": "math:arxiv_107528", "predicate": "proves", "object": "we formulate a model for intermittent communications that can capture bursty transmissions or a spor"}
{"subject": "math:arxiv_107535", "predicate": "proves", "object": "we address the problem of duality between the coloured extension of the quantised algebra of functio"}
{"subject": "math:arxiv_107544", "predicate": "proves", "object": "the set of continuous norm - preserving stochastic schrdinger equations associated with the lindblad"}
{"subject": "math:arxiv_107558", "predicate": "proves", "object": "the goal of this presentation is in paying attention to the 1d cylindrical version of the grad - sha"}
{"subject": "math:arxiv_107560", "predicate": "proves", "object": "we propose a scheme to prepare arbitrary superpositions of quantum states in double quantum  dots ir"}
{"subject": "math:arxiv_107561", "predicate": "proves", "object": "we derive theorems which outline explicit mechanisms by which anomalous scaling for the probability "}
{"subject": "math:arxiv_107565", "predicate": "proves", "object": "an approximate killing field may be defined on a compact , riemannian geometry by solving an eigenva"}
{"subject": "math:arxiv_107572", "predicate": "proves", "object": "the paper concerns numerical algorithms for solving the beltrami equation @xmath0 for a compactly su"}
{"subject": "math:arxiv_107600", "predicate": "proves", "object": "we show that any exceptional non - trivial dehn surgery on a twist knot , except the trefoil , yield"}
{"subject": "math:arxiv_107616", "predicate": "proves", "object": "we show that the string gas - a perfect fluid with the equation of state @xmath0 possesses rather in"}
{"subject": "math:arxiv_107637", "predicate": "proves", "object": "maximal regularity is a fundamental concept in the theory of partial differential equations . in thi"}
{"subject": "math:arxiv_107641", "predicate": "proves", "object": "leptogenesis with heavy neutrino flavours is discussed within a density matrix formalism . \n we writ"}
{"subject": "math:arxiv_107657", "predicate": "proves", "object": "a goursat structure on a manifold of dimension@xmath0 is a rank two distribution @xmath1 such that d"}
{"subject": "math:arxiv_107668", "predicate": "proves", "object": "a sequence of graphs is fo - convergent if the probability of satisfaction of every first - order fo"}
{"subject": "math:arxiv_107671", "predicate": "proves", "object": "starting with the relativistic boltzmann equation where the collision term was generalized to includ"}
{"subject": "math:arxiv_107677", "predicate": "proves", "object": "we consider a free boundary problem modeling electrostatic microelectromechanical systems . \n the mo"}
{"subject": "math:arxiv_107687", "predicate": "proves", "object": "in this article , we present an orthogonal basis expansion method for solving stochastic differentia"}
{"subject": "math:arxiv_107690", "predicate": "proves", "object": "we present a discrete - time formulation for the autonomous learning conjecture . \n the main feature"}
{"subject": "math:arxiv_107709", "predicate": "proves", "object": "we study random bipartite planar maps defined by assigning non - negative weights to each face of a "}
{"subject": "math:arxiv_107716", "predicate": "proves", "object": "we consider parabolic equations with mixed boundary conditions and domain inhomogeneities supported "}
{"subject": "math:arxiv_107728", "predicate": "proves", "object": "we formulate several criteria under which the symmetries associated with the killing and killing  ya"}
{"subject": "math:arxiv_107733", "predicate": "proves", "object": "in this paper , definition of involute - evolute curve couple in galilean space is given and some we"}
{"subject": "math:arxiv_107736", "predicate": "proves", "object": "the alcove model of the first author and postnikov uniformly describes highest weight crystals of se"}
{"subject": "math:arxiv_107737", "predicate": "proves", "object": "we investigate how precisely we can determine the nature of dark energy such as the equation of stat"}
{"subject": "math:arxiv_107752", "predicate": "proves", "object": "we define calabi - yau frobenius algebras over arbitrary base commutative rings . \n we define a hoch"}
{"subject": "math:arxiv_107757", "predicate": "proves", "object": "the sensitivity conjecture , posed in 1994 , states that the fundamental measures known as the sensi"}
{"subject": "math:arxiv_107763", "predicate": "proves", "object": "the main topic considered is maximizing the number of cycles in a graph with given number of edges ."}
{"subject": "math:arxiv_107769", "predicate": "proves", "object": "we introduce the green s functions technique as an alternative theory to the quantum regression theo"}
{"subject": "math:arxiv_107770", "predicate": "proves", "object": "a time - dependent global fiber - bundle model of fracture with continuous damage was recently formu"}
{"subject": "math:arxiv_107778", "predicate": "proves", "object": "locally homogeneous cr - manifolds in dimension 3 were classified , up to local cr - equivalence , b"}
{"subject": "math:arxiv_107779", "predicate": "proves", "object": "in this paper , we discuss several additional properties a power linear keller map may have . \n the "}
{"subject": "math:arxiv_107784", "predicate": "proves", "object": "motivated by chudnovsky s structure theorem of bull - free graphs , abu - khzam , feghali , and mlle"}
{"subject": "math:arxiv_107797", "predicate": "proves", "object": "a temporal - theoretic formalism for understanding game theory is described where a strict ordering "}
{"subject": "math:arxiv_107801", "predicate": "proves", "object": "we show how to accelerate the direct solution of the boltzmann equation using graphics processing un"}
{"subject": "math:arxiv_107808", "predicate": "proves", "object": "in this paper , we construct a new homology theory for semi - groups satisfying the self distributiv"}
{"subject": "math:arxiv_107815", "predicate": "proves", "object": "we consider constant mean curvature surfaces with finite topology , properly embedded in three - spa"}
{"subject": "math:arxiv_107816", "predicate": "proves", "object": "we propose a system of partial differential equations with a single constant delay @xmath0 describin"}
{"subject": "math:arxiv_107828", "predicate": "proves", "object": "we investigate the spin diffusion and transport in a graphene monolayer on sio@xmath0 substrate by m"}
{"subject": "math:arxiv_107830", "predicate": "proves", "object": "we investigate the one - dimensional propagation of waves in the anderson localization regime , for "}
{"subject": "math:arxiv_107831", "predicate": "proves", "object": "we prove that for @xmath0-optimal fields ( a very large subclass of @xmath0-minimal fields containin"}
{"subject": "math:arxiv_107843", "predicate": "proves", "object": "we explore the effects of a positive cosmological constant on astrophysical and cosmological configu"}
{"subject": "math:arxiv_107861", "predicate": "proves", "object": "according to v.p.potapov , a classical interpolation problem can be reformulated in terms of a so - "}
{"subject": "math:arxiv_107864", "predicate": "proves", "object": "we prove resolvent estimates for nontrapping manifolds with cusps which imply the existence of arbit"}
{"subject": "math:arxiv_107866", "predicate": "proves", "object": "based on the orthogonal labastida - mario - ooguri - vafa conjecture made by l. chen & q. chen @xcit"}
{"subject": "math:arxiv_107869", "predicate": "proves", "object": "this article deals with non - adiabatic processes ( i.e. processes excluded by the adiabatic theorem"}
{"subject": "math:arxiv_107893", "predicate": "proves", "object": "we use notions and techniques of quantum field theory to formulate and investigate basic concepts an"}
{"subject": "math:arxiv_107904", "predicate": "proves", "object": "in this paper , a semi - discrete spatial finite volume ( fv ) method is proposed and analyzed for a"}
{"subject": "math:arxiv_107908", "predicate": "proves", "object": "we consider a hydrodynamic - type system of balance equations for mass and momentum closed by the dy"}
{"subject": "math:arxiv_107910", "predicate": "proves", "object": "the standard derivations of electromagnetic energy and momentum in media take maxwell s equations as"}
{"subject": "math:arxiv_107927", "predicate": "proves", "object": "a method to compute the scattering solutions of a spinless salpeter equation ( or a schrdinger equat"}
{"subject": "math:arxiv_107943", "predicate": "proves", "object": "we propose a new method to solve the hartree - fock - bogoliubov equations for weakly bound nuclei w"}
{"subject": "math:arxiv_107946", "predicate": "proves", "object": "on the basis of the periodic anderson model the microscopic ginzburg - landau equations for heavy - "}
{"subject": "math:arxiv_107947", "predicate": "proves", "object": "the dual picture of quantum geometry provided by a spin  network state is discussed . from this pers"}
{"subject": "math:arxiv_107952", "predicate": "proves", "object": "the new great development in physics could be related to the excited progress of a new mathematics :"}
{"subject": "math:arxiv_107969", "predicate": "proves", "object": "we prove that if @xmath0 is a foliation of a compact manifold @xmath1 with all leaves compact subman"}
{"subject": "math:arxiv_107986", "predicate": "proves", "object": "boundary interactions of closed - string with open - strings are examined intended to provide a cons"}
{"subject": "math:arxiv_107988", "predicate": "proves", "object": "complete tensor - scalar and hydrodynamic equations are presented and integrated , for a self - grav"}
{"subject": "math:arxiv_107993", "predicate": "proves", "object": "we construct the algebraic stack of formal groups and use it to provide a new perspective onto a rec"}
{"subject": "math:arxiv_107994", "predicate": "proves", "object": "we study kazhdan  lusztig cells and the corresponding representations of right - angled coxeter grou"}
{"subject": "math:arxiv_108005", "predicate": "proves", "object": "we study the charmonium spectrum using a complete one gluon exchange approach based on a relativisti"}
{"subject": "math:arxiv_108011", "predicate": "proves", "object": "major observational efforts in the coming decade are designed to probe the equation of state of dark"}
{"subject": "math:arxiv_108027", "predicate": "proves", "object": "we consider many - body problems in classical mechanics where a wide range of time scales limits wha"}
{"subject": "math:arxiv_108050", "predicate": "proves", "object": "we study logamediate inflation in the context of @xmath0 teleparallel gravity . \n @xmath0-gravity is"}
{"subject": "math:arxiv_108062", "predicate": "proves", "object": "in this paper we formulate in general terms an approach to prove strong consistency of the _ empiric"}
{"subject": "math:arxiv_108065", "predicate": "proves", "object": "geometry constrains but does not dictate the topology of the @xmath0dimensional space . in a locally"}
{"subject": "math:arxiv_108067", "predicate": "proves", "object": "we establish a connection between compactness of hankel operators and geometry of the underlying dom"}
{"subject": "math:arxiv_108082", "predicate": "proves", "object": "a phenomenological approach is presented that allows one to model , and thereby interpret , photoemi"}
{"subject": "math:arxiv_108088", "predicate": "proves", "object": "we discuss the problem of polarized radiative transfer in general relativity . \n we present a set of"}
{"subject": "math:arxiv_108101", "predicate": "proves", "object": "we prove that every finite lattice @xmath0 can be embedded in a three - generated _ finite _ lattice"}
{"subject": "math:arxiv_108119", "predicate": "proves", "object": "recent studies have presented the interpretation of thermodynamic enthalpy for the mass of btz black"}
{"subject": "math:arxiv_108132", "predicate": "proves", "object": "the classical brill - noether theorems count the dimension of the family of maps from a general curv"}
{"subject": "math:arxiv_108135", "predicate": "proves", "object": "we study the geometry and topology of two infinite families @xmath0 of sasaki - einstein seven - man"}
{"subject": "math:arxiv_108148", "predicate": "proves", "object": "we study the numerical differentiation formulae for functions given in grids with arbitrary number o"}
{"subject": "math:arxiv_108161", "predicate": "proves", "object": "in @xcite a nonperturbative proof of the g - theorem of affleck and ludwig was put forward . in this"}
{"subject": "math:arxiv_108169", "predicate": "proves", "object": "we study the spherical collapse model for several dark energy scenarios using the fully nonlinear di"}
{"subject": "math:arxiv_108170", "predicate": "proves", "object": "the nonperturbative quantization technique  la heisenberg is applied for non - abelian gauge theorie"}
{"subject": "math:arxiv_108192", "predicate": "proves", "object": "we reconsider the euler - lagrange equation for the skyrme model in the hedgehog ansatz and study th"}
{"subject": "math:arxiv_108262", "predicate": "proves", "object": "in this paper we prove the global existence and uniqueness of the low regularity solutions to the ca"}
{"subject": "math:arxiv_108267", "predicate": "proves", "object": "in a general framework that has been labeled the `` gauging of equations method '' , we study the di"}
{"subject": "math:arxiv_108268", "predicate": "proves", "object": "we solve einstein equations coupled to a complex scalar field with infinitely large self - interacti"}
{"subject": "math:arxiv_108271", "predicate": "proves", "object": "we prove involutivity of einstein , einstein - maxwell and other field equations by calculating the "}
{"subject": "math:arxiv_108278", "predicate": "proves", "object": "nonlinear resonant structures consisting of coupled ring resonators can be modeled by difference - d"}
{"subject": "math:arxiv_108306", "predicate": "proves", "object": "we present results from a calculation of the qcd equation of state with two light ( up , down ) and "}
{"subject": "math:arxiv_108321", "predicate": "proves", "object": "three low - valence layered nickelates with general formula la@xmath0ni@xmath1o@xmath2 ( @xmath3=0.0"}
{"subject": "math:arxiv_108327", "predicate": "proves", "object": "with this work we elaborate on the physics of quantum noise in thermal equilibrium and in stationary"}
{"subject": "math:arxiv_108365", "predicate": "proves", "object": "equations for the electron green s function of the two - dimensional hubbard model , derived using t"}
{"subject": "math:arxiv_108366", "predicate": "proves", "object": "we consider ill - posed linear operator equations with operators acting between banach spaces . for "}
{"subject": "math:arxiv_108373", "predicate": "proves", "object": "the possibility of different interpretations of the stochastic term ( or calculi ) in the overdamped"}
{"subject": "math:arxiv_108379", "predicate": "proves", "object": "a quantum fluctuation theorem for a driven quantum subsystem interacting with its environment is der"}
{"subject": "math:arxiv_108387", "predicate": "proves", "object": "let @xmath0 be a plane smooth cubic curve over a finitely generated field @xmath1 . \n the mordell - "}
{"subject": "math:arxiv_108399", "predicate": "proves", "object": "we analyze the existence , stability , and internal modes of _ gap solitons _ in nonlinear periodic "}
{"subject": "math:arxiv_108416", "predicate": "proves", "object": "in 1987 , j. h. elton  @xcite , has proved the first fundamental result in convergence of ifs , the "}
{"subject": "math:arxiv_108420", "predicate": "proves", "object": "starting from the ( polyakov- ) nambu - jona - lasinio lagrangian , ( p)njl , we formulate a transpo"}
{"subject": "math:arxiv_108453", "predicate": "proves", "object": "we consider the impact of the heidelberg - moscow claim for a detection of neutrino mass on the dete"}
{"subject": "math:arxiv_108476", "predicate": "proves", "object": "using a plaquette formulation for lattice gauge models we describe monopoles of the three dimensiona"}
{"subject": "math:arxiv_108487", "predicate": "proves", "object": "we used the gross  pitaevskii equations to investigate ferromagnetic resonance in spin-1 bose \n eins"}
{"subject": "math:arxiv_108495", "predicate": "proves", "object": "we study aspects related to kontsevich s homological mirror symmetry conjecture @xcite in the case o"}
{"subject": "math:arxiv_108498", "predicate": "proves", "object": "we consider the corrections to the boltzmann theory of electrical transport arising from the coulomb"}
{"subject": "math:arxiv_108523", "predicate": "proves", "object": "we present a method for calculating the transmission spectra , dispersion , and time delay character"}
{"subject": "math:arxiv_108535", "predicate": "proves", "object": "we show that the class of groups satisfying the k- and l - theoretic farrell - jones conjecture is c"}
{"subject": "math:arxiv_108541", "predicate": "proves", "object": "we prove a conjecture of brundan and kleshchev on the nilpotency degree of cyclotomic quotients of r"}
{"subject": "math:arxiv_108551", "predicate": "proves", "object": "geodesic deviation is the most basic manifestation of the influence of gravitational fields on matte"}
{"subject": "math:arxiv_108562", "predicate": "proves", "object": "we propose a method , based on a generalized heisenberg algebra ( gha ) , to reproduce the anharmoni"}
{"subject": "math:arxiv_108569", "predicate": "proves", "object": "we present a mathematical formulation of old teleportation protocol ( original teleportation protoco"}
{"subject": "math:arxiv_108587", "predicate": "proves", "object": "in this paper we present a methodology employing statistical analysis and stochastic geometry to stu"}
{"subject": "math:arxiv_108593", "predicate": "proves", "object": "temperley - lieb algebras have been generalized to @xmath0 web spaces . since \n a cubic bipartite pl"}
{"subject": "math:arxiv_108602", "predicate": "proves", "object": "by using the homfly skein theory . we prove a strong integrality theorem for the reduced colored hom"}
{"subject": "math:arxiv_108603", "predicate": "proves", "object": "we study a three - wave truncation of the high - order nonlinear schrdinger equation for deep - wate"}
{"subject": "math:arxiv_108606", "predicate": "proves", "object": "the conventional clausius - mossotti polarization equation of state is known to be unstable for pola"}
{"subject": "math:arxiv_108607", "predicate": "proves", "object": "we classify the graphs that can occur as the graph of rational preperiodic points of a quadratic pol"}
{"subject": "math:arxiv_108612", "predicate": "proves", "object": "in this work the exact friedmann - robertson - walker equations for an elko spinor field coupled to "}
{"subject": "math:arxiv_108657", "predicate": "proves", "object": "we make use of the recent proof that the critical probability for percolation on random voronoi tess"}
{"subject": "math:arxiv_108683", "predicate": "proves", "object": "given a symplectic cohomology class of degree @xmath0 , we define the notion of an `` equivariant ''"}
{"subject": "math:arxiv_108704", "predicate": "proves", "object": "we find numerical solutions of einstein equations and scalar field equation for a global defect in h"}
{"subject": "math:arxiv_108705", "predicate": "proves", "object": "we present an ordinary case in the momentum diffusion equation for the electron spectrum evolution a"}
{"subject": "math:arxiv_108706", "predicate": "proves", "object": "we categorify lusztig s @xmath0  a version of the quantized enveloping algebra @xmath1 . using a gra"}
{"subject": "math:arxiv_108714", "predicate": "proves", "object": "one of the longstanding problems in universal algebra is the question of which finite lattices are i"}
{"subject": "math:arxiv_108738", "predicate": "proves", "object": "modified quark fragmentation functions in deeply inelastic @xmath0 collisions and their qcd evolutio"}
{"subject": "math:arxiv_108742", "predicate": "proves", "object": "the isospin - dependence of mechanical and chemical instabilities is investigated within a thermal a"}
{"subject": "math:arxiv_108759", "predicate": "proves", "object": "we generalize a landauer - type formula , using a real@xmath0spin - space green function technique ,"}
{"subject": "math:arxiv_108763", "predicate": "proves", "object": "we study the gross - pitaevskii equation with an attractive delta function potential and show that i"}
{"subject": "math:arxiv_108777", "predicate": "proves", "object": "the ladder - rainbow truncation of the set of dyson \n schwinger equations is used to study the pion "}
{"subject": "math:arxiv_108783", "predicate": "proves", "object": "given a finite collection @xmath0 of convex @xmath1-polytopes in @xmath2 ( @xmath3 ) , we consider a"}
{"subject": "math:arxiv_108786", "predicate": "proves", "object": "we generalize recent work on parametric resonances for nonlinear schrdinger ( nls ) type equations t"}
{"subject": "math:arxiv_108789", "predicate": "proves", "object": "we have investigated the bulk and surface electronic structures and band topology of tlbis@xmath0 as"}
{"subject": "math:arxiv_108792", "predicate": "proves", "object": "we present and analyze stochastic nonlinear differential equations generating signals with the power"}
{"subject": "math:arxiv_108797", "predicate": "proves", "object": "gribov s scenario of supercritical charges in qcd is investigated . \n we perform a numerical study o"}
{"subject": "math:arxiv_108811", "predicate": "proves", "object": "quantum - field - theoretic descriptions of interacting condensed bosons have suffered from the lack"}
{"subject": "math:arxiv_108849", "predicate": "proves", "object": "astrophysical reaction rates are sensitive to the parity distribution at low excitation energies . \n"}
{"subject": "math:arxiv_108870", "predicate": "proves", "object": "given a toric metrized @xmath0-divisor on a toric variety over a global field , we give a formula fo"}
{"subject": "math:arxiv_108882", "predicate": "proves", "object": "we prove the existence of non - decaying real solutions of the johnson equation , vanishing as @xmat"}
{"subject": "math:arxiv_108894", "predicate": "proves", "object": "we propose a new adaptive particle - in - cloud ( ap - cloud ) method for obtaining optimal numerica"}
{"subject": "math:arxiv_108904", "predicate": "proves", "object": "the study of nowhere - zero flows began with a key observation of tutte that in planar graphs , nowh"}
{"subject": "math:arxiv_108907", "predicate": "proves", "object": "the paper shows deep connections between exotic smoothings of a small @xmath0 ( the spacetime ) , th"}
{"subject": "math:arxiv_108909", "predicate": "proves", "object": "the time development of a model of ( 2 + 1)-dimensional torus universe is studied based on backgroun"}
{"subject": "math:arxiv_108939", "predicate": "proves", "object": "the gas equation of state may be one of the critical factors for the disk instability theory of gas "}
{"subject": "math:arxiv_108951", "predicate": "proves", "object": "transparent boundary conditions for the time - dependent schrdinger equation are implemented using t"}
{"subject": "math:arxiv_108965", "predicate": "proves", "object": "we give explicit equations for the simplest towers of drinfeld modular curves over any finite field "}
{"subject": "math:arxiv_108967", "predicate": "proves", "object": "a class of exact solutions of einstein s equations is analysed which describes uniformly acceleratin"}
{"subject": "math:arxiv_108978", "predicate": "proves", "object": "we present a new viewpoint ( namely , reproducing kernels ) and new proofs for several recent result"}
{"subject": "math:arxiv_108984", "predicate": "proves", "object": "in _ ab initio _ molecular dynamics simulations of real - world problems , the simple verlet method "}
{"subject": "math:arxiv_108988", "predicate": "proves", "object": "we present the results of using the computer algebra program cadabra to develop riemann normal coord"}
{"subject": "math:arxiv_109012", "predicate": "proves", "object": "we study the heisenberg model in an external magnetic field on curved surfaces with rotational symme"}
{"subject": "math:arxiv_109017", "predicate": "proves", "object": "tropical varieties play an important role in algebraic geometry . \n the bergman complex @xmath0 and "}
{"subject": "math:arxiv_109022", "predicate": "proves", "object": "we consider thermal conduction across a general nonlinear phononic junction . based on two - time ob"}
{"subject": "math:arxiv_109025", "predicate": "proves", "object": "we consider electronic transport through a single - molecule junction where the molecule has a degen"}
{"subject": "math:arxiv_109051", "predicate": "proves", "object": "we demonstrate the use of several tools from algebraic combinatorics such as young tableaux , symmet"}
{"subject": "math:arxiv_109070", "predicate": "proves", "object": "in this paper we study disease spread over a randomly switched network , which is modeled by a stoch"}
{"subject": "math:arxiv_109072", "predicate": "proves", "object": "the influence of small additive noise on structure formation near a forwards and near an inverted bi"}
{"subject": "math:arxiv_109083", "predicate": "proves", "object": "in this paper , we present a correct proof of an @xmath0-inequality concerning the polar derivative "}
{"subject": "math:arxiv_109093", "predicate": "proves", "object": "these are expanded notes from three survey lectures given at the 14th international conference on re"}
{"subject": "math:arxiv_109109", "predicate": "proves", "object": "we present a kam theorem for presymplectic dynamical systems . \n the theorem has a  a posteriori \" f"}
{"subject": "math:arxiv_109113", "predicate": "proves", "object": "the stability of an expanding parton plasma is analyzed within quasi - particle models . \n the effec"}
{"subject": "math:arxiv_109115", "predicate": "proves", "object": "we study the dynamics and topology of an emerging magnetic flux concentration using high spatial res"}
{"subject": "math:arxiv_109127", "predicate": "proves", "object": "we investigate the structure of trees that have minimal algebraic connectivity among all trees with "}
{"subject": "math:arxiv_109151", "predicate": "proves", "object": "for the family of nonlinear schrdinger equations derived by h .- d . \n doebner and g.a . \n goldin ( "}
{"subject": "math:arxiv_109152", "predicate": "proves", "object": "neural population equations such as neural mass or field models are widely used to study brain activ"}
{"subject": "math:arxiv_109159", "predicate": "proves", "object": "the real solutions to a system of sparse polynomial equations may be realized as a fiber of a projec"}
{"subject": "math:arxiv_109161", "predicate": "proves", "object": "the plane - wave decomposition method ( pwdm ) , a widely used means of numerically finding eigensta"}
{"subject": "math:arxiv_109163", "predicate": "proves", "object": "we study the stability of patterns arising in rotating convection in weakly anisotropic systems usin"}
{"subject": "math:arxiv_109169", "predicate": "proves", "object": "we prove a new lower bound for the first eigenvalue of the dirac operator on a compact riemannian sp"}
{"subject": "math:arxiv_109171", "predicate": "proves", "object": "the low energy photoemission spectra in quantum antiferromagnets are studied by using several approx"}
{"subject": "math:arxiv_109175", "predicate": "proves", "object": "we study the dynamics of non interacting thermal atoms embedded in structured optical lattices with "}
{"subject": "math:arxiv_109176", "predicate": "proves", "object": "in @xcite it was shown that the kochen specker theorem can be written in terms of the non - existenc"}
{"subject": "math:arxiv_109177", "predicate": "proves", "object": "we perform a numerical study of the phase transitions in three - dimensional @xmath0 lattice gauge t"}
{"subject": "math:arxiv_109192", "predicate": "proves", "object": "we prove a conjecture of przytycki which asserts that the @xmath0-quandle of a link @xmath1 in the 3"}
{"subject": "math:arxiv_109202", "predicate": "proves", "object": "iterative methods on irregular grids have been used widely in all areas of comptational science and "}
{"subject": "math:arxiv_109206", "predicate": "proves", "object": "we develop a constructive method to derive exactly solvable quantum mechanical models of rational ( "}
{"subject": "math:arxiv_109224", "predicate": "proves", "object": "a theoretical derivation is given for the formula describing @xmath0-electron ionization of atom by "}
{"subject": "math:arxiv_109225", "predicate": "proves", "object": "it is shown that that the volume free electron laser is a self - phase - locking system . \n equation"}
{"subject": "math:arxiv_109227", "predicate": "proves", "object": "let @xmath0 be a simple 3-manifold such that one component of @xmath1 , say @xmath2 , has genus at l"}
{"subject": "math:arxiv_109231", "predicate": "proves", "object": "the equilibrium geometry , harmonic frequency and dissociation energy of lanthanum monochloride have"}
{"subject": "math:arxiv_109236", "predicate": "proves", "object": "numerical relativity simulations of compact binaries with the z4c and bssnok formulations are compar"}
{"subject": "math:arxiv_109241", "predicate": "proves", "object": "by using the nikiforov - uvarov method , we give the approximate analytical solutions of the dirac e"}
{"subject": "math:arxiv_109251", "predicate": "proves", "object": "we study the structure and evolution of the internet s autonomous system ( as ) interconnection topo"}
{"subject": "math:arxiv_109257", "predicate": "proves", "object": "we study the propagation of cold - atom wave packets in an interferometer with a mach - zehnder topo"}
{"subject": "math:arxiv_109261", "predicate": "proves", "object": "molecular dynamics simulations and a stochastic fokker - planck equation based approach are used to "}
{"subject": "math:arxiv_109267", "predicate": "proves", "object": "the formula of gell - mann and low can be applied to both the stark effect and superconductivity . \n"}
{"subject": "math:arxiv_109270", "predicate": "proves", "object": "the quantum - classical liouville equation provides a description of the dynamics of a quantum subsy"}
{"subject": "math:arxiv_109281", "predicate": "proves", "object": "the mass - loss properties of carbon agb stars are not very well constrained at present . \n a variet"}
{"subject": "math:arxiv_109284", "predicate": "proves", "object": "we study the stability , propagation and interactions of braid states in models of quantum gravity i"}
{"subject": "math:arxiv_109287", "predicate": "proves", "object": "the linear stability analysis of an optically thin plasma where a general reaction proceeds , includ"}
{"subject": "math:arxiv_109327", "predicate": "proves", "object": "in this paper , we study the moore  gibson  thompson equation in @xmath0 , which is a third order in"}
{"subject": "math:arxiv_109329", "predicate": "proves", "object": "we recast the system of einstein field equations for locally rotationally symmetric spacetimes into "}
{"subject": "math:arxiv_109338", "predicate": "proves", "object": "we study the constraints that the detection of a non - trivial spatial topology may place on the par"}
{"subject": "math:arxiv_109364", "predicate": "proves", "object": "we studied spatial prisoner s dilemma and stag hunt games where both the strategy distribution and t"}
{"subject": "math:arxiv_109389", "predicate": "proves", "object": "in this paper we first establish global pointwise time - space estimates of the fundamental solution"}
{"subject": "math:arxiv_109395", "predicate": "proves", "object": "let @xmath0 be a compact smooth manifold with boundary . in this article , we study the spaces @xmat"}
{"subject": "math:arxiv_109402", "predicate": "proves", "object": "we prove that the cauchy problem for the dirac - klein - gordon equations in two space dimensions is"}
{"subject": "math:arxiv_109403", "predicate": "proves", "object": "neutron stars ( nss ) in the astrophysical universe are often surrounded by accretion disks . \n accr"}
{"subject": "math:arxiv_109414", "predicate": "proves", "object": "it is well - known that the traditional chinese remainder theorem ( crt ) is not robust in the sense"}
{"subject": "math:arxiv_109421", "predicate": "proves", "object": "in the context of averaged cosmologies , the effective equations can be written in the form of `` re"}
{"subject": "math:arxiv_109424", "predicate": "proves", "object": "in papers published in the 25 years following his famous 1964 proof john bell refined and reformulat"}
{"subject": "math:arxiv_109443", "predicate": "proves", "object": "the renormalisation group is a versatile tool for the study of many systems where scale - dependent "}
{"subject": "math:arxiv_109459", "predicate": "proves", "object": "in this article we describe a canonical way to expand a certain kind of @xmath0-colored regular grap"}
{"subject": "math:arxiv_109461", "predicate": "proves", "object": "a statistical multistream description of quantum plasmas is formulated , using the wigner \n poisson "}
{"subject": "math:arxiv_109463", "predicate": "proves", "object": "the dynamical evolution of superconducting cosmic string loops with specific equations of state desc"}
{"subject": "math:arxiv_109472", "predicate": "proves", "object": "following coxeter we use barycentric coordinates in affine geometry to prove theorems on ratios of a"}
{"subject": "math:arxiv_109478", "predicate": "proves", "object": "we develop a numerical scheme for solving time - domain maxwell s equation . \n the method is motivat"}
{"subject": "math:arxiv_109480", "predicate": "proves", "object": "this paper concerns a method of selecting a subset of features for a sequential logit model . \n tana"}
{"subject": "math:arxiv_109487", "predicate": "proves", "object": "schemes with the second - order approximation in time are considered for numerical solving the cauch"}
{"subject": "math:arxiv_109495", "predicate": "proves", "object": "we derive the teukolsky equation for perturbations of a kerr spacetime when the spacetime metric is "}
{"subject": "math:arxiv_109500", "predicate": "proves", "object": "we continue our exposition concerning the topology for multiply connected domains by introducing the"}
{"subject": "math:arxiv_109506", "predicate": "proves", "object": "starting from a quantum kinetic theory for the spin dynamics in diluted magnetic semiconductors , we"}
{"subject": "math:arxiv_109518", "predicate": "proves", "object": "we develop quaternionic analysis using as a guiding principle representation theory of various real "}
{"subject": "math:arxiv_109524", "predicate": "proves", "object": "we review the proof of a conjecture concerning the reality of the spectra of certain @xmath0-symmetr"}
{"subject": "math:arxiv_109528", "predicate": "proves", "object": "collapse , or a gravitational - like phase transition is studied in a microcanonical ensemble of par"}
{"subject": "math:arxiv_109546", "predicate": "proves", "object": "we use a variation of a classical construction of a. hatcher to construct virtually all stable exoti"}
{"subject": "math:arxiv_109561", "predicate": "proves", "object": "we show that , in the light - cone gauge , it is possible to derive in a very simple way the solutio"}
{"subject": "math:arxiv_109570", "predicate": "proves", "object": "we investigate the schelling model of social segregation , formulated as an intrinsically non - equi"}
{"subject": "math:arxiv_109578", "predicate": "proves", "object": "the principle of indirect elimination states that an algorithm for solving discretized differential "}
{"subject": "math:arxiv_109602", "predicate": "proves", "object": "a path integral formalism for non - equilibrium systems is proposed based on a manifold of quasi - e"}
{"subject": "math:arxiv_109619", "predicate": "proves", "object": "we classify simple representations of khovanov - lauda - rouquier algebras in finite type . \n the cl"}
{"subject": "math:arxiv_109622", "predicate": "proves", "object": "time evolution is formulated and discussed in the framework of schrder s functional equation .  the "}
{"subject": "math:arxiv_109638", "predicate": "proves", "object": "we study the minus order on the algebra of bounded linear operators on a hilbert space . by giving a"}
{"subject": "math:arxiv_109644", "predicate": "proves", "object": "employing a limiting case of a conjecture for constructing piecewise separable - variables functions"}
{"subject": "math:arxiv_109651", "predicate": "proves", "object": "in a previous paper @xcite we solved a countably infinite family of one - dimensional schrdinger equ"}
{"subject": "math:arxiv_109664", "predicate": "proves", "object": "in their unpublished work , jockusch and propp showed that a 2-enumeration of antisymmetric monotone"}
{"subject": "math:arxiv_109667", "predicate": "proves", "object": "the zero - temperature equation of state is analyzed in low - dimensional bosonic systems . in the d"}
{"subject": "math:arxiv_109671", "predicate": "proves", "object": "we give explicit equations for the chow and hilbert quotients of a projective scheme @xmath0 by the "}
{"subject": "math:arxiv_109677", "predicate": "proves", "object": "a novel method to generate and manipulate vector vortex beams in an integrated , ring resonator base"}
{"subject": "math:arxiv_109697", "predicate": "proves", "object": "the oleinik inequality for conservation laws and aronson - benilan type inequalities for porous medi"}
{"subject": "math:arxiv_109727", "predicate": "proves", "object": "we revisit ads@xmath0 heterotic compactifications on nearly khler manifolds in the presence of @xmat"}
{"subject": "math:arxiv_109739", "predicate": "proves", "object": "in this paper we explain how morse theory for the yang  mills functional can be used to prove an ana"}
{"subject": "math:arxiv_109749", "predicate": "proves", "object": "we present a determination of the shift @xmath0 due to the finite spatial box size @xmath1 by means "}
{"subject": "math:arxiv_109752", "predicate": "proves", "object": "we study the two - band hubbard model in infinite dimensions by solving the dynamical mean - field e"}
{"subject": "math:arxiv_109761", "predicate": "proves", "object": "we introduce a sequent calculus  , which has at most one formula on the right side of sequent , and "}
{"subject": "math:arxiv_109762", "predicate": "proves", "object": "we define an invariant of graphs embedded in a three - manifold and a partition function for 2-compl"}
{"subject": "math:arxiv_109769", "predicate": "proves", "object": "an interesting accident of nature is that the peak of the cosmic ray spectrum , for both protons and"}
{"subject": "math:arxiv_109779", "predicate": "proves", "object": "we study the partition function of the model formulated with wilson fermions with only one species ,"}
{"subject": "math:arxiv_109793", "predicate": "proves", "object": "rough sets are efficient for data pre - processing in data mining . matroids are based on linear alg"}
{"subject": "math:arxiv_109822", "predicate": "proves", "object": "we have shown that it is possible to formulate the consistent and probability - preserving descripti"}
{"subject": "math:arxiv_109830", "predicate": "proves", "object": "quantum systems in contact with an environment display a rich physics emerging from the interplay be"}
{"subject": "math:arxiv_109833", "predicate": "proves", "object": "we give a canonical procedure associating to an algebraic number @xmath0 first a hyperelliptic curve"}
{"subject": "math:arxiv_109852", "predicate": "proves", "object": "in this paper , we construct two lattices from the @xmath0 functions of @xmath1-surface @xmath2-pain"}
{"subject": "math:arxiv_109855", "predicate": "proves", "object": "is a full hadron level monte carlo event generator for @xmath0 , @xmath1 and @xmath2 processes , whi"}
{"subject": "math:arxiv_109858", "predicate": "proves", "object": "we describe the structure of solutions of the kinetic fokker - planck equations in domains with boun"}
{"subject": "math:arxiv_109883", "predicate": "proves", "object": "we outline a proof of factorization in exclusive processes , taking into account the presence of sof"}
{"subject": "math:arxiv_109885", "predicate": "proves", "object": "consider a compact riemannian manifold with boundary . \n if all maximally extended geodesics interse"}
{"subject": "math:arxiv_109909", "predicate": "proves", "object": "let @xmath0 be the set of @xmath1-bridge knots @xmath2 , such that the group @xmath3 of @xmath4 is m"}
{"subject": "math:arxiv_109930", "predicate": "proves", "object": "we show that the kervaire invariant one elements @xmath0 exist only for @xmath1 . by browder s theor"}
{"subject": "math:arxiv_109938", "predicate": "proves", "object": "we consider a delay differential equation that occurs in the study of chronic myelogenous leukemia ."}
{"subject": "math:arxiv_109941", "predicate": "proves", "object": "we show that global constraints on finite domains like _ all - different _ can be reformulated into "}
{"subject": "math:arxiv_109942", "predicate": "proves", "object": "we propose the first algebraic determinantal formula to enumerate tilings of a centro - symmetric oc"}
{"subject": "math:arxiv_109948", "predicate": "proves", "object": "in a scalar @xmath0 model , we exactly solve the vertex and @xmath1 propagator dyson - schwinger equ"}
{"subject": "math:arxiv_109973", "predicate": "proves", "object": "we construct a @xmath0-dg structure on an algebra koszul dual to a zigzag algebra used by khovanov a"}
{"subject": "math:arxiv_109995", "predicate": "proves", "object": "the internal structure of a slowly rotating , charged black hole that is undergoing mass inflation a"}
{"subject": "math:arxiv_109998", "predicate": "proves", "object": "bursting x - ray binaries in globular clusters are ideal sources for measuring neutron star masses a"}
{"subject": "math:arxiv_109999", "predicate": "proves", "object": "this paper considers the problem of identifying multivariate autoregressive ( ar ) sparse plus low -"}
{"subject": "math:arxiv_110028", "predicate": "proves", "object": "this paper presents a new type of surface models constructed on the basis of finsler geometry . \n a "}
{"subject": "math:arxiv_110032", "predicate": "proves", "object": "we consider solutions of the stochastic equation @xmath0 , where @xmath1 is a fixed constant , @xmat"}
{"subject": "math:arxiv_110046", "predicate": "proves", "object": "in the focusing problem we study a solution of the porous medium equation @xmath0 whose initial dist"}
{"subject": "math:arxiv_110052", "predicate": "proves", "object": "in this paper we prove some new fixed point theorems for multivalued mappings on orbitally complete "}
{"subject": "math:arxiv_110061", "predicate": "proves", "object": "the theory of shock acceleration predicts the maximum particle energy to be limited only by the acce"}
{"subject": "math:arxiv_110064", "predicate": "proves", "object": "by analogy with carleson s observation on cardy s formula describing crossing probabilities for the "}
{"subject": "math:arxiv_110067", "predicate": "proves", "object": "we consider the wave equation for sound in a moving fluid with a fourth - order anomalous dispersion"}
{"subject": "math:arxiv_110088", "predicate": "proves", "object": "in this paper we study some basic quantum confinement effects through investigation of a deformed ha"}
{"subject": "math:arxiv_110094", "predicate": "proves", "object": "the dynamical behaviors of interacting dark energy in loop quantum cosmology are discussed in this p"}
{"subject": "math:arxiv_110103", "predicate": "proves", "object": "stars form by the gravitational collapse of interstellar gas . \n the thermodynamic response of the g"}
{"subject": "math:arxiv_110115", "predicate": "proves", "object": "we propose a formulation of lattice fermions with one - sided differences that is hermitian , chiral"}
{"subject": "math:arxiv_110122", "predicate": "proves", "object": "the steiner tree problem can be stated in terms of finding a connected set of minimal length contain"}
{"subject": "math:arxiv_110132", "predicate": "proves", "object": "we consider the continuous resonant  ( cr ) system of the 2d cubic nonlinear schrdinger ( nls ) equa"}
{"subject": "math:arxiv_110145", "predicate": "proves", "object": "for each integer @xmath0 , johnson gave a @xmath1-manifold with heegaard splittings of genera @xmath"}
{"subject": "math:arxiv_110150", "predicate": "proves", "object": "we construct a framework within which a mathematically precise , fully covariant , and exact averagi"}
{"subject": "math:arxiv_110151", "predicate": "proves", "object": "we study the cooperative rupture of multiple adhesion bonds under shared linear loading . \n simulati"}
{"subject": "math:arxiv_110154", "predicate": "proves", "object": "we study one - sided matching mechanisms where agents have vnm utility functions and report ordinal "}
{"subject": "math:arxiv_110171", "predicate": "proves", "object": "ale and taub - nut ( or alf ) hyper - kahler four - manifolds can be naturally constructed as hyper "}
{"subject": "math:arxiv_110174", "predicate": "proves", "object": "the microscopic formulas for the shear viscosity @xmath0 , the bulk viscosity @xmath1 , and the corr"}
{"subject": "math:arxiv_110188", "predicate": "proves", "object": "in this paper we prove that all initially - smooth solutions of the euler - weil - petersson equatio"}
{"subject": "math:arxiv_110189", "predicate": "proves", "object": "in a recent paper the so - called _ spectrum generating algebra _ \n ( sga ) technique has been appli"}
{"subject": "math:arxiv_110191", "predicate": "proves", "object": "tropical and idempotent analysis with their relations to the hamilton - jacobi and matrix bellman eq"}
{"subject": "math:arxiv_110194", "predicate": "proves", "object": "we show that every closed , virtually fibered hyperbolic 3-manifold contains immersed , quasi - fuch"}
{"subject": "math:arxiv_110200", "predicate": "proves", "object": "we calculate total masses and radii of neutron stars ( ns ) for pure neutron matter and nuclear matt"}
{"subject": "math:arxiv_110218", "predicate": "proves", "object": "within a perturbative approach to quantum chromodynamics ( qcd ) , we show how to extend ordinary dg"}
{"subject": "math:arxiv_110219", "predicate": "proves", "object": "a numerical and analytic treatment is presented here of the evolution of initial data of the kind th"}
{"subject": "math:arxiv_110225", "predicate": "proves", "object": "in the spirit of the thin - layer quantization approach , we give the formula of the geometric influ"}
{"subject": "math:arxiv_110229", "predicate": "proves", "object": "we calculate the structure properties of protoneutron star such as equation of state , maximum mass "}
{"subject": "math:arxiv_110241", "predicate": "proves", "object": "we investigate the behavior of integral formulations of variable coefficient elliptic partial differ"}
{"subject": "math:arxiv_110264", "predicate": "proves", "object": "on a @xmath0-dimensional contact manifold with boundary , a bypass attachment is an elementary chang"}
{"subject": "math:arxiv_110266", "predicate": "proves", "object": "we calculate the excitation frequencies of the @xmath0 monopole and @xmath1 quadrupole modes in the "}
{"subject": "math:arxiv_110268", "predicate": "proves", "object": "the bogoliubov - de gennes equations are solved for the coulomb bose gas describing a fluid of charg"}
{"subject": "math:arxiv_110277", "predicate": "proves", "object": "we study laser induced spin - orbit ( so ) coupling in cold atom systems where lasers couple three i"}
{"subject": "math:arxiv_110284", "predicate": "proves", "object": "we present an exact master equation for a central spin-@xmath0 system coupled to a spin-@xmath0 bath"}
{"subject": "math:arxiv_110297", "predicate": "proves", "object": "a well - known method for calculating an approximation to the pair creation rate in the sauter - sch"}
{"subject": "math:arxiv_110299", "predicate": "proves", "object": "the matrix 2x2 spectral differential equation of the second order is considered on x in ( @xmath0 ) "}
{"subject": "math:arxiv_110300", "predicate": "proves", "object": "the eigenvalue equation associated to the bohr - mottelson hamiltonian is considered in the intrinsi"}
{"subject": "math:arxiv_110302", "predicate": "proves", "object": "we calculate the aslamazov - larkin term of the conductivity in the presence of a magnetic field app"}
{"subject": "math:arxiv_110307", "predicate": "proves", "object": "we study the effect that the temperature structure has on the determination of the primordial helium"}
{"subject": "math:arxiv_110312", "predicate": "proves", "object": "we have solved the einstein equations of general relativity for a class of metrics with constant spa"}
{"subject": "math:arxiv_110314", "predicate": "proves", "object": "we prove an instance of the cyclic sieving phenomenon in non - crossing connected graphs , as conjec"}
{"subject": "math:arxiv_110319", "predicate": "proves", "object": "the influence of an external test mass on the phase of the signal of an atom interferometer is studi"}
{"subject": "math:arxiv_110331", "predicate": "proves", "object": "we propose a generalization of shgh conjectures to a smooth projective surface y : the so called seg"}
{"subject": "math:arxiv_110334", "predicate": "proves", "object": "strangeness enhancement ( se ) in heavy ion collisions can be understood in the statistical model on"}
{"subject": "math:arxiv_110393", "predicate": "proves", "object": "this paper deals with stability in the numerical solution of the prominent heston partial differenti"}
{"subject": "math:arxiv_110395", "predicate": "proves", "object": "an elegant formula for coordinates of carbon atoms in a unit cell of a single - walled nanotube ( sw"}
{"subject": "math:arxiv_110403", "predicate": "proves", "object": "we present a formulation of a matrix model which manifestly possesses the general coordinate invaria"}
{"subject": "math:arxiv_110416", "predicate": "proves", "object": "we study a 1-dimensional xx chain under nonequilibrium driving and local dephasing described by the "}
{"subject": "math:arxiv_110430", "predicate": "proves", "object": "given a closed , oriented surface @xmath0 , the algebraic intersection of closed curves induces a sy"}
{"subject": "math:arxiv_110434", "predicate": "proves", "object": "isobaric multiplets can be used to provide reliable mass predictions through the isobaric multiplet "}
{"subject": "math:arxiv_110441", "predicate": "proves", "object": "in this survey , we give an overview of brieskorn manifolds and varieties , and their role in contac"}
{"subject": "math:arxiv_110451", "predicate": "proves", "object": "in the context of horndeski cosmologies , we consider a dynamical adjustment mechanism able to scree"}
{"subject": "math:arxiv_110460", "predicate": "proves", "object": "we collect and improve many known results that relate conditions for actions of a discrete group on "}
{"subject": "math:arxiv_110487", "predicate": "proves", "object": "fractional calculus and q - deformed lie algebras are closely related . \n both concepts expand the s"}
{"subject": "math:arxiv_110494", "predicate": "proves", "object": "the exact ( closed form ) solutions of the equations of motion in the theory of general relativity t"}
{"subject": "math:arxiv_110500", "predicate": "proves", "object": "we show that the formation of a magnon condensate in thin ferromagnetic films can be explained withi"}
{"subject": "math:arxiv_110510", "predicate": "proves", "object": "we study the optimal transport between two probability measures on the real line , where the transpo"}
{"subject": "math:arxiv_110513", "predicate": "proves", "object": "in @xcite a unified description as polynomial hamiltonian systems was established for a broad class "}
{"subject": "math:arxiv_110518", "predicate": "proves", "object": "the purpose of this paper is to give a survey of the various versions of floer homology for manifold"}
{"subject": "math:arxiv_110548", "predicate": "proves", "object": "the rate equation for exchange - driven aggregation of monomers between clusters of size @xmath0 by "}
{"subject": "math:arxiv_110558", "predicate": "proves", "object": "we study numerically the evolution of bose - einstein condensate in the sinai oscillator trap descri"}
{"subject": "math:arxiv_110581", "predicate": "proves", "object": "an elementary arbitrage principle and the existence of trends in financial time series , which is ba"}
{"subject": "math:arxiv_110618", "predicate": "proves", "object": "specific features of orbital and spin structure of transition metal compounds in the case of the fac"}
{"subject": "math:arxiv_110633", "predicate": "proves", "object": "in this paper , we contribute operator - splitting methods improved by the zassenhaus product for th"}
{"subject": "math:arxiv_110636", "predicate": "proves", "object": "in this article , under very general conditions for one parameter holomorphic families of holomorphi"}
{"subject": "math:arxiv_110639", "predicate": "proves", "object": "an outline of a proof of the decomposition of the linear metric perturbation into gauge - invariant "}
{"subject": "math:arxiv_110670", "predicate": "proves", "object": "in this paper , we demonstrate that the modified emden type equation ( mee ) , @xmath0 , is integrab"}
{"subject": "math:arxiv_110681", "predicate": "proves", "object": "a new formulation for the equation of motion of interacting dislocations is derived . from this solu"}
{"subject": "math:arxiv_110696", "predicate": "proves", "object": "in the context of cosmological perturbation theory , we derive the second order boltzmann equation d"}
{"subject": "math:arxiv_110703", "predicate": "proves", "object": "the hamiltonian for dynamic geometry generates the evolution of a spatial region along a vector fiel"}
{"subject": "math:arxiv_110736", "predicate": "proves", "object": "a microscopic formalism is developed that includes the coupling to two particle - hole phonons in th"}
{"subject": "math:arxiv_110738", "predicate": "proves", "object": "i give a brief account of gribov s scenario of supercritical charges in qcd . \n gribov s equation fo"}
{"subject": "math:arxiv_110769", "predicate": "proves", "object": "we propose a microscopic hamiltonian together with a master equation description to model stochastic"}
{"subject": "math:arxiv_110788", "predicate": "proves", "object": "we investigate the high harmonic generation ( hhg ) from solids by simulating the dynamics of a sing"}
{"subject": "math:arxiv_110790", "predicate": "proves", "object": "in this paper , we study an inverse scattering problem at fixed energy on three - dimensional asympt"}
{"subject": "math:arxiv_110792", "predicate": "proves", "object": "we study light transmission through a homeotropically oriented nematic liquid crystal cell and solve"}
{"subject": "math:arxiv_110798", "predicate": "proves", "object": "a principled framework to generalize variational perturbation approximations ( vpa s ) formulated wi"}
{"subject": "math:arxiv_110800", "predicate": "proves", "object": "the klein - gordon equation is used to calculate the zitterbewegung ( zb , trembling motion ) of spi"}
{"subject": "math:arxiv_110801", "predicate": "proves", "object": "we present a numerical method for handling the resolution of a general transport equation for radiat"}
{"subject": "math:arxiv_110809", "predicate": "proves", "object": "in this paper , we formulate statistical mechanics of the polymerized systems in the semiclassical r"}
{"subject": "math:arxiv_110816", "predicate": "proves", "object": "in this paper we discuss the restrictions of the spacetime for the standard model of cosmology by us"}
{"subject": "math:arxiv_110839", "predicate": "proves", "object": "we study codimension one foliations with singularities defined locally by bott - morse functions on "}
{"subject": "math:arxiv_110842", "predicate": "proves", "object": "purely dissipative evolution equations are often cast as gradient flow structures , @xmath0 , where "}
{"subject": "math:arxiv_110867", "predicate": "proves", "object": "we prove the conjectures on dimensions and characters of some quadratic algebras stated by b.l.feigi"}
{"subject": "math:arxiv_110868", "predicate": "proves", "object": "recently , galley  [ phys . \n rev .  lett . \n * 110 * , 174301 ( 2013 ) ] proposed an initial value "}
{"subject": "math:arxiv_110899", "predicate": "proves", "object": "we carefully analyze the renormalization group equations in the type i + ii seesaw scenario in the e"}
{"subject": "math:arxiv_110903", "predicate": "proves", "object": "a heuristic but pedagogical derivation is given of an explicit formula which accurately reproduces t"}
{"subject": "math:arxiv_110922", "predicate": "proves", "object": "in this work we introduce the notion of differential - algebraic ansatz for the heat equation and ex"}
{"subject": "math:arxiv_110942", "predicate": "proves", "object": "in this paper the spectrum of quark - antiquark systems , including light mesons and tachyons , is s"}
{"subject": "math:arxiv_110973", "predicate": "proves", "object": "in this article we construct a type of deformations of representations @xmath0 where @xmath1 is an a"}
{"subject": "math:arxiv_111006", "predicate": "proves", "object": "variable selection for a multiple regression model ( noisy linear perceptron ) is studied with a mea"}
{"subject": "math:arxiv_111013", "predicate": "proves", "object": "we get fractional symmetric fokker - planck and einstein - smoluchowski kinetic equations , which de"}
{"subject": "math:arxiv_111016", "predicate": "proves", "object": "the paper considers a manifold  @xmath0 evolving under the ricci flow and establishes a series of gr"}
{"subject": "math:arxiv_111074", "predicate": "proves", "object": "we present a new class of string theory solutions which are conjectured to be dual to the @xmath0 co"}
{"subject": "math:arxiv_111086", "predicate": "proves", "object": "a phenomenological model is presented based on the formation of nuclear thermodynamic system during "}
{"subject": "math:arxiv_111088", "predicate": "proves", "object": "we propose a new and simple discretization , named the modified virtual grid difference ( mvgd ) , f"}
{"subject": "math:arxiv_111096", "predicate": "proves", "object": "we propose a box and ball system with a periodic boundary condition ( pbbs ) . \n the time evolution "}
{"subject": "math:arxiv_111100", "predicate": "proves", "object": "the theory of complex dimensions describes the oscillations in the geometry ( spectra and dynamics )"}
{"subject": "math:arxiv_111103", "predicate": "proves", "object": "spectroscopic observations of prominence eruptions associated with coronal mass ejections ( cmes ) ,"}
{"subject": "math:arxiv_111106", "predicate": "proves", "object": "we consider the propagation of slow light with an orbital angular momentum ( oam ) in a moving atomi"}
{"subject": "math:arxiv_111113", "predicate": "proves", "object": "diffraction in time of a particle confined in a box which its walls are removed suddenly at @xmath0 "}
{"subject": "math:arxiv_111118", "predicate": "proves", "object": "quantum vacua are characterized by the topological structure of their fermion zero modes . \n the vac"}
{"subject": "math:arxiv_111129", "predicate": "proves", "object": "we investigate the signature of the lund - regge metric on spaces of simplicial three - geometries w"}
{"subject": "math:arxiv_111135", "predicate": "proves", "object": "we test the robustness and flexibility of the chevallier - polarski - linder ( cpl ) parameterizatio"}
{"subject": "math:arxiv_111149", "predicate": "proves", "object": "we use both numerical and analytical approaches to study the dynamics of the gravitational collapse "}
{"subject": "math:arxiv_111153", "predicate": "proves", "object": "we report on recent study  @xcite of the role of the kinematical constraint in the ccfm equation and"}
{"subject": "math:arxiv_111154", "predicate": "proves", "object": "we investigate the thermodynamics as well as thermodynamic geometry of chargeless btz black hole sol"}
{"subject": "math:arxiv_111158", "predicate": "proves", "object": "an updated proof of a 1933 theorem of goeritz , exhibiting a finite set of generators for the group "}
{"subject": "math:arxiv_111161", "predicate": "proves", "object": "the auxiliary field method is a new and efficient way to compute approximate analytical eigenenergie"}
{"subject": "math:arxiv_111167", "predicate": "proves", "object": "a conjecture of halmos proved by choi and li states that the closure of the numerical range of a con"}
{"subject": "math:arxiv_111179", "predicate": "proves", "object": "given positive numbers @xmath0 and a real number @xmath1 let @xmath2 be the @xmath3 matrix with its "}
{"subject": "math:arxiv_111181", "predicate": "proves", "object": "inspired by patterns observed in mixtures of microtubules and molecular motors , we propose continuu"}
{"subject": "math:arxiv_111217", "predicate": "proves", "object": "luminosity is an intrinsic property of radio pulsars related to the properties of the magnetospheric"}
{"subject": "math:arxiv_111220", "predicate": "proves", "object": "it was conjectured by h.  zassenhaus that a torsion unit of an integral group ring of a finite group"}
{"subject": "math:arxiv_111231", "predicate": "proves", "object": "a polynomial system with @xmath0 equations in @xmath0 variables supported on a set @xmath1 of @xmath"}
{"subject": "math:arxiv_111234", "predicate": "proves", "object": "it is known that the vector space spanned by labeled rooted trees forms a hopf algebra . \n let @xmat"}
{"subject": "math:arxiv_111248", "predicate": "proves", "object": "exact calculations of innermost stable circular orbit ( isco ) around rotating strange stars are per"}
{"subject": "math:arxiv_111259", "predicate": "proves", "object": "we formulate a systematic elegant perturbative scheme for determining the eigenvalues of the helmhol"}
{"subject": "math:arxiv_111269", "predicate": "proves", "object": "using the ope , we obtain new sum rules in the heavy quark limit of qcd , in addition to those previ"}
{"subject": "math:arxiv_111280", "predicate": "proves", "object": "we propose a new method to study motions of mixtures in fluid interfaces . we extend the equations o"}
{"subject": "math:arxiv_111282", "predicate": "proves", "object": "we calculate the casimir force for a fermionic quantum field in a piston geometry with three paralle"}
{"subject": "math:arxiv_111290", "predicate": "proves", "object": "the generalized crank - nicolson method is employed to obtain numerical solutions of the two - dimen"}
{"subject": "math:arxiv_111291", "predicate": "proves", "object": "we examine the algebraic structure of the matrix regularization for the wrapped membrane on @xmath0 "}
{"subject": "math:arxiv_111292", "predicate": "proves", "object": "three programs are presented for automatically generating and calculating feynman diagrams : the dia"}
{"subject": "math:arxiv_111303", "predicate": "proves", "object": "we consider interactions of fermions with the domain wall bubbles produced during a first order phas"}
{"subject": "math:arxiv_111305", "predicate": "proves", "object": "approximate solutions to functional evolution equations are constructed through a combination of ser"}
{"subject": "math:arxiv_111306", "predicate": "proves", "object": "we study a colocated cell centered finite volume method for the approximation of the incompressible "}
{"subject": "math:arxiv_111317", "predicate": "proves", "object": "tensor expression simplification is an  ancient \" topic in computer algebra , a representative of wh"}
{"subject": "math:arxiv_111328", "predicate": "proves", "object": "we introduce several associative algebras and families of vector spaces associated to these algebras"}
{"subject": "math:arxiv_111339", "predicate": "proves", "object": "the markovian diffusion theory is generalized within the framework of the special theory of relativi"}
{"subject": "math:arxiv_111347", "predicate": "proves", "object": "the equation of state of a one - dimensional classical nonrelativistic coulomb gas of particles in t"}
{"subject": "math:arxiv_111356", "predicate": "proves", "object": "in this paper we consider huang \n li nonlinear financial system recently studied in the literature ."}
{"subject": "math:arxiv_111361", "predicate": "proves", "object": "the contact angle of a macroscopic droplet on a heterogeneous but flat substrate is studied using th"}
{"subject": "math:arxiv_111374", "predicate": "proves", "object": "let @xmath0 be an open , simply connected , and bounded region in @xmath1 , @xmath2 , and assume its"}
{"subject": "math:arxiv_111380", "predicate": "proves", "object": "closed timelike curves ( ctcs ) appear in many solutions of the einstein equation , even with reason"}
{"subject": "math:arxiv_111389", "predicate": "proves", "object": "we consider a new formulation of a class of synchronization error channels and derive analytical bou"}
{"subject": "math:arxiv_111392", "predicate": "proves", "object": "let @xmath0 be a connected compact lie group acting on a manifold @xmath1 and let @xmath2 be a trans"}
{"subject": "math:arxiv_111423", "predicate": "proves", "object": "we conjecture that any modification of general relativity can be studied by the minimal geometric de"}
{"subject": "math:arxiv_111424", "predicate": "proves", "object": "in this paper we establish optimal solvability results    maximal regularity theorems    for the cau"}
{"subject": "math:arxiv_111437", "predicate": "proves", "object": "we analyze the orbifolds that can be obtained as quotients of hyperbolic 3-manifolds admitting a hee"}
{"subject": "math:arxiv_111448", "predicate": "proves", "object": "for air showers observed simultaneously by more than two imaging atmospheric cherenkov telescopes , "}
{"subject": "math:arxiv_111462", "predicate": "proves", "object": "we examine the sets of _ late points _ of a symmetric random walk on @xmath0 projected onto the toru"}
{"subject": "math:arxiv_111473", "predicate": "proves", "object": "we adopt a reference - metric approach to generalize a covariant and conformal version of the z4 sys"}
{"subject": "math:arxiv_111481", "predicate": "proves", "object": "this work is a sequel to our work the spin density matrix i : general theory and exact master equati"}
{"subject": "math:arxiv_111492", "predicate": "proves", "object": "we introduce an algorithm which transforms every four - dimensional cubulation into an orientable cu"}
{"subject": "math:arxiv_111495", "predicate": "proves", "object": "we apply the holographic principle and the equipartition law of energy to the apparent horizon of a "}
{"subject": "math:arxiv_111503", "predicate": "proves", "object": "in this paper we study the generalized clifford algebra defined by pappacena of a monic ( with respe"}
{"subject": "math:arxiv_111530", "predicate": "proves", "object": "michaelis - menten equation is a basic equation of enzyme kinetics and gives an acceptable approxima"}
{"subject": "math:arxiv_111532", "predicate": "proves", "object": "recent work has shown that a mbius strip soap film rendered unstable by deforming its frame changes "}
{"subject": "math:arxiv_111538", "predicate": "proves", "object": "we analyze dynamical consequences of a conjecture that there exists a fundamental ( indivisible ) qu"}
{"subject": "math:arxiv_111539", "predicate": "proves", "object": "diquark correlations play an important role in hadron physics . \n the properties of diquarks can be "}
{"subject": "math:arxiv_111544", "predicate": "proves", "object": "the paper investigates relationship between algebraic expressions and graphs . \n we consider a digra"}
{"subject": "math:arxiv_111549", "predicate": "proves", "object": "we consider the problem of the construction of the acoustic structure of arbitrary geometry with pre"}
{"subject": "math:arxiv_111551", "predicate": "proves", "object": "the cubic complex one - dimensional ginzburg \n landau equation is considered . using the hone s meth"}
{"subject": "math:arxiv_111555", "predicate": "proves", "object": "the aim of this paper is to explain the construction by h. hironaka [ h.61 ] of a holomorphic ( in f"}
{"subject": "math:arxiv_111565", "predicate": "proves", "object": "the vincent  phatak procedure for solving the momentum - space schrdinger equation with combined cou"}
{"subject": "math:arxiv_111567", "predicate": "proves", "object": "we consider in this paper a simple oscillating quintom model of dark energy which has two free param"}
{"subject": "math:arxiv_111570", "predicate": "proves", "object": "a full multigrid finite element method is proposed for semilinear elliptic equations . \n the main id"}
{"subject": "math:arxiv_111572", "predicate": "proves", "object": "we have used dynamic monte carlo(dmc ) methods and analytical techniques to analyze single - file sy"}
{"subject": "math:arxiv_111573", "predicate": "proves", "object": "using molecular dynamics simulations and integral equations we investigate the structure , the therm"}
{"subject": "math:arxiv_111575", "predicate": "proves", "object": "this work deals with the structure of the isometry group of pseudo - riemannian 2-step nilmanifolds "}
{"subject": "math:arxiv_111579", "predicate": "proves", "object": "we introduce a new class of noncommutative spectral triples on kellendonk s @xmath0-algebra associat"}
{"subject": "math:arxiv_111619", "predicate": "proves", "object": "the effect of a varying pseudo - magnetic field , which falls as @xmath0 , on a two dimensional elec"}
{"subject": "math:arxiv_111644", "predicate": "proves", "object": "thermal transport coefficients are independent of the specific microscopic expression for the energy"}
{"subject": "math:arxiv_111645", "predicate": "proves", "object": "in this paper , we consider nonlocal schrdinger equations with certain potentials @xmath0 given by a"}
{"subject": "math:arxiv_111655", "predicate": "proves", "object": "the non - monotonic beam energy dependence of the higher cumulants of net - proton fluctuations is a"}
{"subject": "math:arxiv_111661", "predicate": "proves", "object": "we consider the relativistic quantum mechanics of a two interacting fermions system . \n we first pre"}
{"subject": "math:arxiv_111667", "predicate": "proves", "object": "the features of vacuum particle creation in an external classical field are studied for simplest ext"}
{"subject": "math:arxiv_111672", "predicate": "proves", "object": "event - by - event reconstruction of the collision geometry using some incarnation of the glauber - "}
{"subject": "math:arxiv_111674", "predicate": "proves", "object": "the main purpose of the present paper is a study of orientations of the moduli spaces of pseudo - ho"}
{"subject": "math:arxiv_111675", "predicate": "proves", "object": "global existence and scattering for the nonlinear defocusing schrdinger equation in 2 dimensions are"}
{"subject": "math:arxiv_111678", "predicate": "proves", "object": "applying the techniques of an earlier paper with frenkel , we develop a geometric realization of spi"}
{"subject": "math:arxiv_111687", "predicate": "proves", "object": "we formulate correlation functions for a one - dimensional interacting spinless fermion model at fin"}
{"subject": "math:arxiv_111688", "predicate": "proves", "object": "numerical calculation of modes in dispersive and absorptive systems is performed using the finite el"}
{"subject": "math:arxiv_111689", "predicate": "proves", "object": "this article is concerned with the integration of the time - dependent ginzburg \n landau ( tdgl ) eq"}
{"subject": "math:arxiv_111700", "predicate": "proves", "object": "the shard intersection order is a new lattice structure on a finite coxeter group @xmath0 which enco"}
{"subject": "math:arxiv_111716", "predicate": "proves", "object": "this paper is the companion article to [ _ ann . \n probab . _ * 39 * ( 2011 ) 779856 ] . \n we consid"}
{"subject": "math:arxiv_111726", "predicate": "proves", "object": "this paper concerns the derivation of a fokker - planck equation for the correlation of two high fre"}
{"subject": "math:arxiv_111730", "predicate": "proves", "object": "a method is presented to compute minimizers ( instantons ) of action functionals using arclength par"}
{"subject": "math:arxiv_111740", "predicate": "proves", "object": "we survey geometrical and especially combinatorial aspects of generalized donaldson - thomas invaria"}
{"subject": "math:arxiv_111756", "predicate": "proves", "object": "the population transfer dynamics of model donor - bridge - acceptor systems is studied by comparing "}
{"subject": "math:arxiv_111758", "predicate": "proves", "object": "we study linear functionals on a clifford algebra ( algebra of majoranas ) equipped with a reflectio"}
{"subject": "math:arxiv_111777", "predicate": "proves", "object": "in this contribution we will review our present understanding of the matter equation of state in the"}
{"subject": "math:arxiv_111781", "predicate": "proves", "object": "causality creates an asymmetry between space and time , even though the wave equation treats them on"}
{"subject": "math:arxiv_111799", "predicate": "proves", "object": "we study the scaling of decoherence of decoupled electron spin qubits due to hyperfine interaction ."}
{"subject": "math:arxiv_111805", "predicate": "proves", "object": "we consider a spatially homogeneous advection - diffusion equation in which the diffusion tensor and"}
{"subject": "math:arxiv_111811", "predicate": "proves", "object": "using the unintegrated gluon distribution obtained from numerical simulations of the balitsky - kovc"}
{"subject": "math:arxiv_111818", "predicate": "proves", "object": "a xy heisenberg spin chain model with two perpendicular spins par site is mapped onto a kirchhoff th"}
{"subject": "math:arxiv_111821", "predicate": "proves", "object": "the viewing geometry of the polar cp  tuc that better explains its optical and x - ray light curves "}
{"subject": "math:arxiv_111826", "predicate": "proves", "object": "we perform a theoretical study of the dynamics of the electric field excitations in a microtubule by"}
{"subject": "math:arxiv_111834", "predicate": "proves", "object": "we present results of statistical analysis of solar wind turbulence using an approach based on the t"}
{"subject": "math:arxiv_111845", "predicate": "proves", "object": "the three - body continuum coulomb problem is treated in terms of the generalized parabolic coordina"}
{"subject": "math:arxiv_111864", "predicate": "proves", "object": "_ in the recent paper @xcite , we classified closed geodesics on finsler manifolds into rational and"}
{"subject": "math:arxiv_111869", "predicate": "proves", "object": "we give a description ( direct formulas ) of all complex geodesics in a convex tube domain in @xmath"}
{"subject": "math:arxiv_111876", "predicate": "proves", "object": "we address the issue of generalizing the thermodynamic quantities via @xmath0-deformation , i.e. , v"}
{"subject": "math:arxiv_111883", "predicate": "proves", "object": "energy dependent phase lags reveal crucial information about the causal relation between various spe"}
{"subject": "math:arxiv_111884", "predicate": "proves", "object": "implementation of an editing process for content mathml formulas in common visual style is a real ch"}
{"subject": "math:arxiv_111910", "predicate": "proves", "object": "we study amenability of algebras and modules ( based on the notion of almost - invariant finite - di"}
{"subject": "math:arxiv_111915", "predicate": "proves", "object": "the convergence problem for scattering states is studied in detail within the framework of the algeb"}
{"subject": "math:arxiv_111950", "predicate": "proves", "object": "ewens sampling formula ( esf ) is a one - parameter family of probability distributions with a numbe"}
{"subject": "math:arxiv_111956", "predicate": "proves", "object": "we study the quantum electrodynamics of 2d and 3d dirac semimetals by means of a self - consistent r"}
{"subject": "math:arxiv_111972", "predicate": "proves", "object": "cosmologists have embraced a particular ad hoc formula for the primordial power spectrum from inflat"}
{"subject": "math:arxiv_111973", "predicate": "proves", "object": "we present a new categorical classification framework for d - brane charges on noncommutative manifo"}
{"subject": "math:arxiv_111974", "predicate": "proves", "object": "we propose an efficient and fast numerical algorithm of finding a stationary solution of large syste"}
{"subject": "math:arxiv_112012", "predicate": "proves", "object": "in this paper we prove the asymptotic formula for the moments of minkowski question mark function , "}
{"subject": "math:arxiv_112016", "predicate": "proves", "object": "we consider a family of discrete coagulation - fragmentation equations closely related to the one - "}
{"subject": "math:arxiv_112021", "predicate": "proves", "object": "we investigate the processes leading to phase - space equilibration of parton distributions in nucle"}
{"subject": "math:arxiv_112033", "predicate": "proves", "object": "let @xmath0 be the spherization of a closed connected manifold of dimension at least two . consider "}
{"subject": "math:arxiv_112047", "predicate": "proves", "object": "a recently formulated statistical mechanics method is used to study the phase transition occurring i"}
{"subject": "math:arxiv_112051", "predicate": "proves", "object": "we present a stochastic framework to study signal transmission in a generic two - step cascade @xmat"}
{"subject": "math:arxiv_112054", "predicate": "proves", "object": "this work focuses on the numerical approximation of the shallow water equations ( swe ) using a lagr"}
{"subject": "math:arxiv_112056", "predicate": "proves", "object": "a numerical investigation of a non - commutative field theory defined via the spectral action princi"}
{"subject": "math:arxiv_112057", "predicate": "proves", "object": "a perturbative regime based on contortion as a dynamical variable and metric as a ( classical ) fixe"}
{"subject": "math:arxiv_112082", "predicate": "proves", "object": "the kirillov  schilling  shimozono ( kss ) bijection appearing in theory of the fermionic formula gi"}
{"subject": "math:arxiv_112101", "predicate": "proves", "object": "by introducing an additional operator into the action and using the feynman \n hellmann theorem we de"}
{"subject": "math:arxiv_112110", "predicate": "proves", "object": "the time evolution of the two - time conditional probability of the classical stochastic process is "}
{"subject": "math:arxiv_112126", "predicate": "proves", "object": "in this paper we study time - periodic solutions to advection - diffusion equations of a scalar quan"}
{"subject": "math:arxiv_112129", "predicate": "proves", "object": "we develop a formalism that describes the bending and twisting of axoneme - like filament bundles . "}
{"subject": "math:arxiv_112146", "predicate": "proves", "object": "a kinetic equation for the collisional evolution of stable , bound , self gravitating and slowly rel"}
{"subject": "math:arxiv_112157", "predicate": "proves", "object": "we present a theoretical model for the propagation of non self - interacting atom laser beams . \n we"}
{"subject": "math:arxiv_112164", "predicate": "proves", "object": "we propose and formulate an interaction induced staggered spin - orbit order as a new emergent phase"}
{"subject": "math:arxiv_112180", "predicate": "proves", "object": "this paper considers the problem of approximating the inverse of the wave - equation hessian , also "}
{"subject": "math:arxiv_112188", "predicate": "proves", "object": "bochner s theorem gives the necessary and sufficient conditions on a function such that its fourier "}
{"subject": "math:arxiv_112216", "predicate": "proves", "object": "the functional it formula , firstly introduced by bruno dupire for continuous semimartingales , migh"}
{"subject": "math:arxiv_112220", "predicate": "proves", "object": "we study the third quantization of the friedmann - robertson - walker cosmology with @xmath0-minimal"}
{"subject": "math:arxiv_112233", "predicate": "proves", "object": "we extend the definition of the recently introduced valence bond entanglement entropy to arbitrary s"}
{"subject": "math:arxiv_112275", "predicate": "proves", "object": "we give an explicit formula for the action of the dehn twist along a simple closed curve in a compac"}
{"subject": "math:arxiv_112299", "predicate": "proves", "object": "we investigate the convergence of hitting times for jump - diffusion processes . specifically , we s"}
{"subject": "math:arxiv_112303", "predicate": "proves", "object": "lobjet de ce texte est de montrer la conjecture @xmath0 pour certaines reprsentations semi - stables"}
{"subject": "math:arxiv_112315", "predicate": "proves", "object": "in this article we introduce an asymptotic preserving scheme designed to compute the solution of a t"}
{"subject": "math:arxiv_112333", "predicate": "proves", "object": "a bianchi type - i cosmological model in the presence of a magnetic flux along a cosmological string"}
{"subject": "math:arxiv_112335", "predicate": "proves", "object": "this article describes the computation of cosmic microwave background anisotropies in a universe wit"}
{"subject": "math:arxiv_112340", "predicate": "proves", "object": "the usual assumption one makes to define totally real or pseudoholomorphic immersions of real surfac"}
{"subject": "math:arxiv_112352", "predicate": "proves", "object": "in this paper , we show that , for any integers @xmath0 and @xmath1 , there exist genus-@xmath2 heeg"}
{"subject": "math:arxiv_112355", "predicate": "proves", "object": "the equation describing the capacitance of capacitors is determined . \n it is shown that by optimizi"}
{"subject": "math:arxiv_112390", "predicate": "proves", "object": "we study the effects of a finite chemical potential on the occurrence of cavitation in a quark gluon"}
{"subject": "math:arxiv_112395", "predicate": "proves", "object": "the second - grade fluid equations are a model for viscoelastic fluids , with two parameters : @xmat"}
{"subject": "math:arxiv_112397", "predicate": "proves", "object": "we consider the maldacena conjecture applied to the near horizon geometry of a d1-brane in the super"}
{"subject": "math:arxiv_112412", "predicate": "proves", "object": "an expression is given for the plethysm @xmath0 , where @xmath1 is the power sum of degree two and @"}
{"subject": "math:arxiv_112461", "predicate": "proves", "object": "the @xmath0-adic kummer  leopoldt constant @xmath1 of a number field @xmath2 is ( assuming the leopo"}
{"subject": "math:arxiv_112464", "predicate": "proves", "object": "+ in the last decade , stochastic models have shown to be very useful for quantitative modelling of "}
{"subject": "math:arxiv_112503", "predicate": "proves", "object": "we demonstrate that an all - antiferromagnetic tunnel junction with current perpendicular to the pla"}
{"subject": "math:arxiv_112504", "predicate": "proves", "object": "we classify the possible finite symmetries of conformal field theories with an affine lie algebra @x"}
{"subject": "math:arxiv_112513", "predicate": "proves", "object": "this paper begins with an observation that the isospectral leaves of the signed toda lattice as well"}
{"subject": "math:arxiv_112524", "predicate": "proves", "object": "the billiard motion inside an ellipsoid @xmath0 is completely integrable . \n its phase space is a sy"}
{"subject": "math:arxiv_112535", "predicate": "proves", "object": "in this work we analyze the dynamics of collisionless self - gravitating systems described by the @x"}
{"subject": "math:arxiv_112539", "predicate": "proves", "object": "in this report we consider the parameterization of low - dimensional manifolds that are specified ( "}
{"subject": "math:arxiv_112554", "predicate": "proves", "object": "a theory of the competition between fusion and quasi - fission in a heavy fusing system is proposed "}
{"subject": "math:arxiv_112561", "predicate": "proves", "object": "in 1987 , c.  sabbah proved the existence of bernstein - sato polynomials associated with several an"}
{"subject": "math:arxiv_112563", "predicate": "proves", "object": "motivated by the need to correct the potentially large kinematic errors in approximations used in th"}
{"subject": "math:arxiv_112565", "predicate": "proves", "object": "we analyze the issue of anomaly - free representations of the constraint algebra in loop quantum gra"}
{"subject": "math:arxiv_112570", "predicate": "proves", "object": "using the momentum dependence of the dressed quark mass and the well - known formulae for the mass d"}
{"subject": "math:arxiv_112571", "predicate": "proves", "object": "a theorem of e. lerman and s. tolman , generalizing a result of t. delzant , states that compact sym"}
{"subject": "math:arxiv_112575", "predicate": "proves", "object": "the analytic formulas for structure constants of @xmath0 algebra in terms of @xmath1 and @xmath2 sym"}
{"subject": "math:arxiv_112581", "predicate": "proves", "object": "following the seminal result of an & evans , known as the central density slope  anisotropy theorem "}
{"subject": "math:arxiv_112587", "predicate": "proves", "object": "first we prove a general spectral theorem for the linear navier - stokes ( ns ) operator in both 2d "}
{"subject": "math:arxiv_112589", "predicate": "proves", "object": "with the aim of constraining the structural properties of neutron stars and the equation of state of"}
{"subject": "math:arxiv_112600", "predicate": "proves", "object": "let @xmath0 be the @xmath1-character variety of @xmath2 where @xmath1 is a rank 1 complex affine alg"}
{"subject": "math:arxiv_112621", "predicate": "proves", "object": "in the @xmath0-@xmath1 model , the electron fractionalization is unique due to the non - perturbativ"}
{"subject": "math:arxiv_112634", "predicate": "proves", "object": "the paper gives the bounds on the solutions to a stein equation for the negative binomial distributi"}
{"subject": "math:arxiv_112635", "predicate": "proves", "object": "we consider the problem of approximating the reachable set of a discrete - time polynomial system fr"}
{"subject": "math:arxiv_112637", "predicate": "proves", "object": "challenging optimization problems , which elude acceptable solution via conventional calculus method"}
{"subject": "math:arxiv_112641", "predicate": "proves", "object": "initial data are the starting point for any numerical simulation . in the case of numerical relativi"}
{"subject": "math:arxiv_112652", "predicate": "proves", "object": "a strongly correlated electron system associated with the quantum superalgebra @xmath0 $ ] is studie"}
{"subject": "math:arxiv_112658", "predicate": "proves", "object": "we obtain exact results for fractional equations of fokker - planck type using evolution operator me"}
{"subject": "math:arxiv_112662", "predicate": "proves", "object": "the deterministic kpz equation has been recently formulated as a gradient flow , in a _ nonequilibri"}
{"subject": "math:arxiv_112665", "predicate": "proves", "object": "some equivalence classes in symmetric group lead to an interesting class of noncommutive and associa"}
{"subject": "math:arxiv_112679", "predicate": "proves", "object": "an important theorem of beck says that any point set in the euclidean plane is either `` nearly gene"}
{"subject": "math:arxiv_112686", "predicate": "proves", "object": "we demonstrate the feasibility and efficiency of the coulomb - sturmian separable expansion method f"}
{"subject": "math:arxiv_112702", "predicate": "proves", "object": "we compactify the spaces @xmath0 introduced by maxim kontsevich . \n the initial idea was to construc"}
{"subject": "math:arxiv_112707", "predicate": "proves", "object": "moving grids are of interest in the numerical solution of hydrodynamical problems and in numerical r"}
{"subject": "math:arxiv_112718", "predicate": "proves", "object": "we study einstein - yang - mills equations in the presence of gravitating non - topological soliton "}
{"subject": "math:arxiv_112722", "predicate": "proves", "object": "the two - point function and the vacuum expectation value ( vev ) of the current density are investi"}
{"subject": "math:arxiv_112723", "predicate": "proves", "object": "we address the inverse problem of lagrangian identification based on trajectories in the context of "}
{"subject": "math:arxiv_112729", "predicate": "proves", "object": "the features of the inner products between all the types of real and complex - energy solutions of t"}
{"subject": "math:arxiv_112732", "predicate": "proves", "object": "in this work , chaotic indicators , which have been established in the framework of classical mechan"}
{"subject": "math:arxiv_112742", "predicate": "proves", "object": "chirped bessel waves are introduced as stable ( non - diffracting ) solutions of the paraxial wave e"}
{"subject": "math:arxiv_112747", "predicate": "proves", "object": "in the ginzburg - landau equation , there are domain walls connecting two metastable states . \n the "}
{"subject": "math:arxiv_112752", "predicate": "proves", "object": "recently , a quantum key exchange protocol that uses squeezed states was presented by gottesman and "}
{"subject": "math:arxiv_112768", "predicate": "proves", "object": "for the nonlocal davey - stewartson i equation , the darboux transformation is considered and explic"}
{"subject": "math:arxiv_112789", "predicate": "proves", "object": "we formulate a theory based on the time - dependent ginzburg landau ( tdgl ) theory and newtonian vo"}
{"subject": "math:arxiv_112795", "predicate": "proves", "object": "we use the available two different self - consistent formulations of quasiparticle models and extend"}
{"subject": "math:arxiv_112796", "predicate": "proves", "object": "it has long been conjectured that hypotheses spaces suitable for data that is compositional in natur"}
{"subject": "math:arxiv_112833", "predicate": "proves", "object": "the asymptotic variety of a counterexample of pinchuk type to the strong real jacobian conjecture is"}
{"subject": "math:arxiv_112844", "predicate": "proves", "object": "in this paper we describe a function @xmath0 such that for any hyperbolic n - manifold @xmath1 with "}
{"subject": "math:arxiv_112852", "predicate": "proves", "object": "we study an initial value problem for the one - dimensional non - stationary linear schrdinger equat"}
{"subject": "math:arxiv_112853", "predicate": "proves", "object": "we consider a particle dragged through a medium at constant temperature as described by a langevin e"}
{"subject": "math:arxiv_112856", "predicate": "proves", "object": "cylindrical algebraic decomposition ( cad ) is a key tool for solving problems in real algebraic geo"}
{"subject": "math:arxiv_112863", "predicate": "proves", "object": "we give a recursive formula for purely real welschinger invariants of the following real del pezzo s"}
{"subject": "math:arxiv_112864", "predicate": "proves", "object": "the particle number projection method is formulated for density dependent forces and in particular f"}
{"subject": "math:arxiv_112869", "predicate": "proves", "object": "the extended galileon models possess tracker solutions with de sitter attractors along which the dar"}
{"subject": "math:arxiv_112891", "predicate": "proves", "object": "dynamics of the double - well bose - einstein condensate subject to energy dissipation is studied by"}
{"subject": "math:arxiv_112905", "predicate": "proves", "object": "we employ the boltzmann equation for describing hadron production from a quark - gluon plasma ( qgp "}
{"subject": "math:arxiv_112917", "predicate": "proves", "object": "we study the relationship between unit - distance representations and lovsz theta number of graphs ,"}
{"subject": "math:arxiv_112924", "predicate": "proves", "object": "we prove that all correlations of the sequence of farey fractions exist and provide formulas for the"}
{"subject": "math:arxiv_112942", "predicate": "proves", "object": "we follow the time evolution of nonabelian gauge bosons from far - from - equilibrium initial condit"}
{"subject": "math:arxiv_112950", "predicate": "proves", "object": "0.25 in we study the steady state properties of an insect ( spruce budworm ) outbreak model in the p"}
{"subject": "math:arxiv_112963", "predicate": "proves", "object": "we consider a family of compact manifolds which shrinks with respect to an appropriate parameter to "}
{"subject": "math:arxiv_112971", "predicate": "proves", "object": "the precise calculations of the wigner s d - matrix are important in various research fields . due t"}
{"subject": "math:arxiv_112983", "predicate": "proves", "object": "recently a distributed algorithm has been proposed for multi - agent networks to solve a system of l"}
{"subject": "math:arxiv_113001", "predicate": "proves", "object": "in 1980 yang and yau  @xcite proved the celebrated upper bound for the first eigenvalue on an orient"}
{"subject": "math:arxiv_113017", "predicate": "proves", "object": "we show that the spectrum of the schrdinger equation in two or higher dimensions does not change whe"}
{"subject": "math:arxiv_113047", "predicate": "proves", "object": "we present an approximate analytic solution of the klein - gordon equation in the presence of equal "}
{"subject": "math:arxiv_113048", "predicate": "proves", "object": "the main theorem shows that if @xmath0 is an irreducible compact connected orientable 3manifold with"}
{"subject": "math:arxiv_113060", "predicate": "proves", "object": "we prove an escape rate result for special semi - flows over non - invertible subshifts of finite ty"}
{"subject": "math:arxiv_113065", "predicate": "proves", "object": "the cosmological observation indicates that the effective equation of state parameter @xmath0 varies"}
{"subject": "math:arxiv_113078", "predicate": "proves", "object": "the spin relaxation in a 1d inas quantum dot with the rashba spin - orbit coupling under driving thz"}
{"subject": "math:arxiv_113089", "predicate": "proves", "object": "according to the no - hair theorem , an astrophysical black hole is uniquely described by only two q"}
{"subject": "math:arxiv_113104", "predicate": "proves", "object": "a master equation has been constructed for a global system - bath interaction both in the absence as"}
{"subject": "math:arxiv_113111", "predicate": "proves", "object": "the purpose of this paper is to formulate and solve a synthesis problem for a class of linear quantu"}
{"subject": "math:arxiv_113117", "predicate": "proves", "object": "we present a numerical study of charged particle motion in a time - independent magnetic field in cy"}
{"subject": "math:arxiv_113143", "predicate": "proves", "object": "a novel equation of heat conduction is derived with the help of a generalized entropy current and in"}
{"subject": "math:arxiv_113147", "predicate": "proves", "object": "we obtain highly accurate solutions to the thomas - fermi equations for atoms and atoms in very stro"}
{"subject": "math:arxiv_113151", "predicate": "proves", "object": "within a nuclear model that the deuteron has @xmath0 and @xmath1 components , we derive convolution "}
{"subject": "math:arxiv_113163", "predicate": "proves", "object": "we analyse two classes of @xmath0 evolution equations which are of special interest in financial mat"}
{"subject": "math:arxiv_113194", "predicate": "proves", "object": "in this paper , we will give a certain formula for the riemann zeta function that expresses the riem"}
{"subject": "math:arxiv_113207", "predicate": "proves", "object": "the standard approach to initial data for both analytic and numerical computations of black hole col"}
{"subject": "math:arxiv_113210", "predicate": "proves", "object": "we prove the @xmath0-adic duality theorem for the finite star - multiple polylogarithms . that is a "}
{"subject": "math:arxiv_113255", "predicate": "proves", "object": "we investigate superconductor / insulator / ferromagnet / superconductor ( sifs ) tunnel josephson j"}
{"subject": "math:arxiv_113260", "predicate": "proves", "object": "the highly successful dirac equation can predict peculiar effects such as klein tunneling and the ``"}
{"subject": "math:arxiv_113287", "predicate": "proves", "object": "we observe that nonzero gromov - witten invariants with marked point constraints in a closed symplec"}
{"subject": "math:arxiv_113290", "predicate": "proves", "object": "in this paper , we investigate the scattering of two @xmath0 kinks and derive the real dynamics by s"}
{"subject": "math:arxiv_113300", "predicate": "proves", "object": "we investigate the modulational instability of nonlinear schrdinger equations with periodic variatio"}
{"subject": "math:arxiv_113323", "predicate": "proves", "object": "the ( 2 + 1)-dimension klein - gordon generalised equation is numerically solved through the finite "}
{"subject": "math:arxiv_113324", "predicate": "proves", "object": "we investigate the ability of the reference hypernetted - chain integral equation to describe the ph"}
{"subject": "math:arxiv_113338", "predicate": "proves", "object": "a class of exact solutions of the dispersionless toda hierarchy constrained by a string equation is "}
{"subject": "math:arxiv_113343", "predicate": "proves", "object": "motivated by the motion of biopolymers and membranes in solution , this article presents a formulati"}
{"subject": "math:arxiv_113344", "predicate": "proves", "object": "we study the existence of lattices in almost abelian lie groups that admit left invariant locally co"}
{"subject": "math:arxiv_113353", "predicate": "proves", "object": "sympathetic cooling of an atomic fermi gas by a bose gas is studied by solution of the coupled quant"}
{"subject": "math:arxiv_113357", "predicate": "proves", "object": "we prove the spin - statistics theorem for massive particles obeying braid group statistics in three"}
{"subject": "math:arxiv_113362", "predicate": "proves", "object": "this paper is concerned with the numerical implementation of a formula in the enclosure method as ap"}
{"subject": "math:arxiv_113366", "predicate": "proves", "object": "let @xmath0 be a finite quiver without oriented cycles , and let @xmath1 be an algebraically closed "}
{"subject": "math:arxiv_113369", "predicate": "proves", "object": "a dynamical fuzzy space might be described in terms of a dynamical three - index variable @xmath0 , "}
{"subject": "math:arxiv_113370", "predicate": "proves", "object": "this paper deals with low - density construction - a ( lda ) lattices , which are obtained via const"}
{"subject": "math:arxiv_113374", "predicate": "proves", "object": "the hybrid monte carlo algorithm for the simulation of qcd with dynamical staggered fermions is comp"}
{"subject": "math:arxiv_113375", "predicate": "proves", "object": "in this article , we investigate the structures of the pseudoscalar charmonium and bottomonium in th"}
{"subject": "math:arxiv_113382", "predicate": "proves", "object": "in a recent paper , kiessling and tahvildar - zadeh proved that any classical solution of the relati"}
{"subject": "math:arxiv_113397", "predicate": "proves", "object": "the aim of this short note is to give a simple proof of the non - rationality of the double cover of"}
{"subject": "math:arxiv_113402", "predicate": "proves", "object": "in this article we present a systematic derivation of the maxwell \n bloch equations describing ampli"}
{"subject": "math:arxiv_113413", "predicate": "proves", "object": "chaotic behavior can be produced from difference equations with unstable fixed points . \n difference"}
{"subject": "math:arxiv_113443", "predicate": "proves", "object": "we investigate energetically favorable configurations of point disclinations in nematic films having"}
{"subject": "math:arxiv_113451", "predicate": "proves", "object": "we study scalar and vector modulation instabilities induced by the vacuum fluctuations in birefringe"}
{"subject": "math:arxiv_113458", "predicate": "proves", "object": "donsker s theorem shows that random walks behave like brownian motion in an asymptotic sense . \n thi"}
{"subject": "math:arxiv_113459", "predicate": "proves", "object": "in this paper , we study wave properties of isothermal plasma for the schwarzschild de - sitter blac"}
{"subject": "math:arxiv_113485", "predicate": "proves", "object": "the production of charmonia in relativistic heavy - ion collisions is formulated within the framewor"}
{"subject": "math:arxiv_113504", "predicate": "proves", "object": "the resistance of multilayers with interface roughness on a length scale which is large compared to "}
{"subject": "math:arxiv_113525", "predicate": "proves", "object": "a commutative but not cocommutative graded hopf algebra @xmath0 , based on ordered rooted trees , is"}
{"subject": "math:arxiv_113534", "predicate": "proves", "object": "we find that the evolution equation for the three - particle quark - gluon b - meson light - cone di"}
{"subject": "math:arxiv_113539", "predicate": "proves", "object": "we examine the steady - state spherically symmetric accretion of relativistic fluids , with a polytr"}
{"subject": "math:arxiv_113540", "predicate": "proves", "object": "the aim of this paper is to construct and analyze solutions to a class of hamilton \n jacobi \n bellma"}
{"subject": "math:arxiv_113572", "predicate": "proves", "object": "we show that @xmath0 almost everywhere for all @xmath1 provided that @xmath2 . \n this result is shar"}
{"subject": "math:arxiv_113591", "predicate": "proves", "object": "we study the molecular mode coupling theory for a liquid of diatomic molecules . \n the equations for"}
{"subject": "math:arxiv_113608", "predicate": "proves", "object": "we present a straightforward integration method to compute the abundance and temperature evolution i"}
{"subject": "math:arxiv_113609", "predicate": "proves", "object": "well  defined non  perturbative formulations of the physics of string theories , sometimes with d \n "}
{"subject": "math:arxiv_113618", "predicate": "proves", "object": "it is well known that the solution of topology optimization problems may be affected both by the geo"}
{"subject": "math:arxiv_113645", "predicate": "proves", "object": "conformastationary metrics  those of the form @xmath0 have been derived by perjes and by israel & wi"}
{"subject": "math:arxiv_113686", "predicate": "proves", "object": "we present a model for compact stars in the low mass x - ray binaries(lmxbs ) and x - ray pulsars us"}
{"subject": "math:arxiv_113697", "predicate": "proves", "object": "with use of the kronig - penney model , we study the excitation spectrum of a bose - einstein conden"}
{"subject": "math:arxiv_113699", "predicate": "proves", "object": "misner spacetime is among the simplest solutions of einstein s equation that exhibits a cauchy horiz"}
{"subject": "math:arxiv_113718", "predicate": "proves", "object": "we have calculated the maximally \n localized wannier functions of mno in its antiferromagnetic ( afm"}
{"subject": "math:arxiv_113720", "predicate": "proves", "object": "a class of generalized thomas - fermi equations having the standard thomas - fermi equation as the f"}
{"subject": "math:arxiv_113729", "predicate": "proves", "object": "the current operational formulation of quantum theory is based on the concept of operation with an i"}
{"subject": "math:arxiv_113731", "predicate": "proves", "object": "two proofs are presented which show that quantum mechanics is incompatible with the following assump"}
{"subject": "math:arxiv_113769", "predicate": "proves", "object": "in this paper , we demonstrate a set of fundamental conditions required for the formulation of a the"}
{"subject": "math:arxiv_113777", "predicate": "proves", "object": "we numerically solve the ( 3 + 1)-dimensional relativistic hydrodynamical equation with a bag - mode"}
{"subject": "math:arxiv_113778", "predicate": "proves", "object": "the working of a quantum computer is described in the concrete example of a quantum simulator of the"}
{"subject": "math:arxiv_113786", "predicate": "proves", "object": "let @xmath0 be a graph in a compact , orientable 3manifold @xmath1 and let @xmath2 be a subgraph . \n"}
{"subject": "math:arxiv_113822", "predicate": "proves", "object": "we give a concrete method to explicitly compute the rational cohomology of the unordered configurati"}
{"subject": "math:arxiv_113834", "predicate": "proves", "object": "the @xmath0-metric is one of few known exact solutions of einstein s field equations which describes"}
{"subject": "math:arxiv_113841", "predicate": "proves", "object": "we consider a dark energy model with a relation between the equation of state parameter @xmath0 and "}
{"subject": "math:arxiv_113849", "predicate": "proves", "object": "we study the simplest mode - coupling equation which describes the time correlation function of the "}
{"subject": "math:arxiv_113859", "predicate": "proves", "object": "two - dimensional gray solitons to the nonlinear schrdinger equation are numerically created by two "}
{"subject": "math:arxiv_113888", "predicate": "proves", "object": "we prove that the geometry of the 2-dimensional @xmath0-body problem for spaces of constant curvatur"}
{"subject": "math:arxiv_113890", "predicate": "proves", "object": "a statistical theory is developed for the stochastic burgers equation in the inviscid limit . \n mast"}
{"subject": "math:arxiv_113897", "predicate": "proves", "object": "we calculate the closed analytic form of the solution of heat kernel equation for the anisotropic ge"}
{"subject": "math:arxiv_113900", "predicate": "proves", "object": "we study a model of densely packed self - avoiding loops on the annulus , related to the temperley l"}
{"subject": "math:arxiv_113912", "predicate": "proves", "object": "we discuss the auxiliary field quantum monte carlo ( afqmc ) method applied to dilute neutron matter"}
{"subject": "math:arxiv_113917", "predicate": "proves", "object": "we set up a framework in which in - medium charmonium properties are constrained by thermal lattice "}
{"subject": "math:arxiv_113929", "predicate": "proves", "object": "simple analytical formulae , directly relating the experimental geometry and sample orientation to t"}
{"subject": "math:arxiv_113936", "predicate": "proves", "object": "a theory accounting for the specific features of magnetic polarons ( mp ) in the presence of spin gl"}
{"subject": "math:arxiv_113937", "predicate": "proves", "object": "we study the remarkable _ saxl conjecture _ which states that tensor squares of certain irreducible "}
{"subject": "math:arxiv_113951", "predicate": "proves", "object": "exact nonlinear stationary solutions of the one - dimensional wigner and wigner - poisson equations "}
{"subject": "math:arxiv_113958", "predicate": "proves", "object": "we present and compare different numerical schemes for the integration of the variational equations "}
{"subject": "math:arxiv_113962", "predicate": "proves", "object": "yangian symmetry of amplitudes in @xmath0 super yang - mills theory is formulated in terms of eigenv"}
{"subject": "math:arxiv_113972", "predicate": "proves", "object": "we formulate a theory of the many - body localization transition based on a novel real space renorma"}
{"subject": "math:arxiv_114027", "predicate": "proves", "object": "approximate analytical chirped solitary pulse ( chirped dissipative soliton ) solutions of the one -"}
{"subject": "math:arxiv_114035", "predicate": "proves", "object": "chromatic polynomials have been studied extensively , giving us results such as the fundamental redu"}
{"subject": "math:arxiv_114054", "predicate": "proves", "object": "we present a new and simple bound for the exponential decay of second order systems using the spectr"}
{"subject": "math:arxiv_114066", "predicate": "proves", "object": "in this work there are proposed several new 6d brane worlds based on exact topological solutions to "}
{"subject": "math:arxiv_114078", "predicate": "proves", "object": "the theory of linear dispersive equations predicts that waves should spread out and disperse over ti"}
{"subject": "math:arxiv_114081", "predicate": "proves", "object": "the trace formula for the density of single - particle levels in the two - dimensional radial power "}
{"subject": "math:arxiv_114082", "predicate": "proves", "object": "we show that under particular circumstances a general relativistic spherically symmetric bounded dis"}
{"subject": "math:arxiv_114086", "predicate": "proves", "object": "in this paper we study lipschitz contact equivalence of continuous function germs in the plane defin"}
{"subject": "math:arxiv_114087", "predicate": "proves", "object": "the mimo wireless channel offers a rich ground for quality of service analysis . in this work \n , we"}
{"subject": "math:arxiv_114090", "predicate": "proves", "object": "a major question in the study of black hole binaries involves our understanding of the accretion geo"}
{"subject": "math:arxiv_114094", "predicate": "proves", "object": "it is well known that the surface of nonmagnetic @xmath0-ce is magnetically ordered , i.e. , @xmath1"}
{"subject": "math:arxiv_114108", "predicate": "proves", "object": "we have calculated the electrostatic interaction between two rod - like charged objects with arbitra"}
{"subject": "math:arxiv_114113", "predicate": "proves", "object": "we obtain exact traveling - wave solutions of the coupled nonlinear partial differential equations t"}
{"subject": "math:arxiv_114128", "predicate": "proves", "object": "we consider effects of anisotropy on solitons of various types in two - dimensional nonlinear lattic"}
{"subject": "math:arxiv_114129", "predicate": "proves", "object": "we consider the @xmath0-invariant spectrum of the laplacian on an orbit space @xmath1 where @xmath2 "}
{"subject": "math:arxiv_114140", "predicate": "proves", "object": "we propose a new model of a _ gravastar _ in @xmath0 anti - de sitter space - time . \n this new thre"}
{"subject": "math:arxiv_114150", "predicate": "proves", "object": "we study @xmath0-pulse interaction in fast collisions of @xmath1 solitons of the cubic nonlinear sch"}
{"subject": "math:arxiv_114152", "predicate": "proves", "object": "we study a stochastic equation modeling the lay - down of fibers in the production process of nonwov"}
{"subject": "math:arxiv_114159", "predicate": "proves", "object": "the equations of secular evolution for dust grains in mean motion resonances with a planet are solve"}
{"subject": "math:arxiv_114166", "predicate": "proves", "object": "different formulas relying measurable fragment isotopic observables to the symmetry energy of excite"}
{"subject": "math:arxiv_114167", "predicate": "proves", "object": "we report various many - body theoretical approaches to the nonlinear decay rate and energy loss of "}
{"subject": "math:arxiv_114193", "predicate": "proves", "object": "general formulas are derived for the quasiparticle effective mass and the equation of state of the f"}
{"subject": "math:arxiv_114197", "predicate": "proves", "object": "asymptotic expansion of the second - order linear ordinary differential equation @xmath0 , in which "}
{"subject": "math:arxiv_114239", "predicate": "proves", "object": "in this article we derive fokker - planck equation for incompressible fluid and investigate its prop"}
{"subject": "math:arxiv_114249", "predicate": "proves", "object": "the non - relativistic three - body schrdinger equation of the heteronuclear molecular ion hd@xmath0"}
{"subject": "math:arxiv_114264", "predicate": "proves", "object": "based on graphic lambda calculus , we propose a program for a new model of asynchronous distributed "}
{"subject": "math:arxiv_114267", "predicate": "proves", "object": "in this paper we analyze the non - integrability of the wilbeforce spring - pendulum by means of mor"}
{"subject": "math:arxiv_114289", "predicate": "proves", "object": "recently , based on a supersymmetric approach , new classes of conditionally exactly solvable proble"}
{"subject": "math:arxiv_114311", "predicate": "proves", "object": "in this paper we use the kazhdan grading on the symmetric algebra @xmath0 of a semi - simple lie alg"}
{"subject": "math:arxiv_114321", "predicate": "proves", "object": "the middle levels conjecture asserts that there is a hamiltonian cycle in the middle two levels of @"}
{"subject": "math:arxiv_114325", "predicate": "proves", "object": "the linearized relativistic magnetohydrodynamic ( rmhd ) equations describing a uniform axially magn"}
{"subject": "math:arxiv_114329", "predicate": "proves", "object": "the covariant holographic entropy conjecture of ads / cft relates the entropy of a boundary region @"}
{"subject": "math:arxiv_114335", "predicate": "proves", "object": "we present a novel method for simulation of the interior of large cosmic voids , suitable for study "}
{"subject": "math:arxiv_114343", "predicate": "proves", "object": "we propose a general method for simplifying master equations by eliminating from the description rap"}
{"subject": "math:arxiv_114345", "predicate": "proves", "object": "we study the sensitivity of the sound speed to relativistic corrections of the equation of state ( e"}
{"subject": "math:arxiv_114354", "predicate": "proves", "object": "einstein field equations under spherically symmetric space - times are considered here in connection"}
{"subject": "math:arxiv_114371", "predicate": "proves", "object": "the paper is concerned with galerkin finite element solutions of parabolic equations in a convex pol"}
{"subject": "math:arxiv_114377", "predicate": "proves", "object": "this paper addresses the classical and discrete euler - lagrange equations for systems of @xmath0 pa"}
{"subject": "math:arxiv_114384", "predicate": "proves", "object": "we study the macroscopic limit of a chain of atoms governed by the newton equation . \n it is known f"}
{"subject": "math:arxiv_114385", "predicate": "proves", "object": "we study the consequences of different realizations of diffusion processes in relativistic langevin "}
{"subject": "math:arxiv_114387", "predicate": "proves", "object": "we advance an exact , explicit form for the solutions to the fractional diffusion - advection equati"}
{"subject": "math:arxiv_114388", "predicate": "proves", "object": "we report measurements of the complex resistivity in @xmath0 and @xmath1 thin films over a continuou"}
{"subject": "math:arxiv_114396", "predicate": "proves", "object": "in this work we have constructed axially symmetric vacuum solutions of the gravitational field equat"}
{"subject": "math:arxiv_114398", "predicate": "proves", "object": "by means of a madelung decomposition , exact periodic traveling solutions are constructed for a modi"}
{"subject": "math:arxiv_114425", "predicate": "proves", "object": "0.3 cm we prove that in three space dimensions a nonlinear wave equation @xmath0 with @xmath1 being "}
{"subject": "math:arxiv_114429", "predicate": "proves", "object": "in this work we study the properties of maximal and minimal curves of genus @xmath0 over finite fiel"}
{"subject": "math:arxiv_114433", "predicate": "proves", "object": "we test numerically the refined manin s conjecture about the asymptotics of points of bounded height"}
{"subject": "math:arxiv_114436", "predicate": "proves", "object": "we use a dynamical systems approach to investigate bianchi type i and ii universes in quadratic theo"}
{"subject": "math:arxiv_114440", "predicate": "proves", "object": "given a morse function @xmath0 on a closed manifold @xmath1 with distinct critical values , and give"}
{"subject": "math:arxiv_114478", "predicate": "proves", "object": "we present a new numerical scheme for solving the advection equation and its application to the vlas"}
{"subject": "math:arxiv_114482", "predicate": "proves", "object": "field emission formulae , current  voltage characteristics and energy distribution of emitted electr"}
{"subject": "math:arxiv_114494", "predicate": "proves", "object": "in this paper , we consider an inverse problem to determine a in a parabolic equation , where the da"}
{"subject": "math:arxiv_114506", "predicate": "proves", "object": "we give a detailed comparison of the hierarchical quantum master equation ( hqme ) method to a conti"}
{"subject": "math:arxiv_114530", "predicate": "proves", "object": "boundary problem for linear partial differential algebraic equations system with multiple characteri"}
{"subject": "math:arxiv_114531", "predicate": "proves", "object": "we introduce the notion of zwiebach invariants that generalize gromov - witten invariants and homoto"}
{"subject": "math:arxiv_114539", "predicate": "proves", "object": "we first compute three - point open gromov - witten numbers of lagrangian torus fibers in toric fano"}
{"subject": "math:arxiv_114546", "predicate": "proves", "object": "we introduce the two - dimensional gross - pitaevskii / nonlinear - schrdinger ( gp / nls ) equation"}
{"subject": "math:arxiv_114550", "predicate": "proves", "object": "a continuum model for epithelial tissue mechanics is formulated from cell level mechanical ingredien"}
{"subject": "math:arxiv_114558", "predicate": "proves", "object": "bouchet conjectured in 1983 that each signed graph that admits a nowhere - zero flow has a nowhere -"}
{"subject": "math:arxiv_114567", "predicate": "proves", "object": "we analyze the power spectrum of a regular binary thermal lattice gas in two dimensions and derive a"}
{"subject": "math:arxiv_114576", "predicate": "proves", "object": "the location of the proton dripline in a new phenomenological mass formula is calculated . \n predict"}
{"subject": "math:arxiv_114580", "predicate": "proves", "object": "we introduce a two - dimensional ( 2d ) discrete nonlinear schrdinger ( dnls ) equation with self - "}
{"subject": "math:arxiv_114581", "predicate": "proves", "object": "we construct a _ locally - lexicographic ssor preconditioner _ to accelerate the parallel iterative "}
{"subject": "math:arxiv_114589", "predicate": "proves", "object": "the equation of state for quark matter is derived for a nonlocal , chiral quark model within the mea"}
{"subject": "math:arxiv_114601", "predicate": "proves", "object": "in @xcite , auckly - kim - melvin - ruberman showed that for any finite subgroup @xmath0 of @xmath1 "}
{"subject": "math:arxiv_114609", "predicate": "proves", "object": "we present a hybrid equation of state ( eos ) for dense matter in which a nuclear matter phase is de"}
{"subject": "math:arxiv_114618", "predicate": "proves", "object": "in suitable states , the modular group of local algebras associated with unions of disjoint interval"}
{"subject": "math:arxiv_114634", "predicate": "proves", "object": "the dynamical behavior of a harmonic chain in a spatially periodic potential ( frenkel - kontorova m"}
{"subject": "math:arxiv_114650", "predicate": "proves", "object": "applying the pomeransky inverse scattering method to the four - dimensional vacuum einstein equation"}
{"subject": "math:arxiv_114667", "predicate": "proves", "object": "the weyl tensor and the ricci tensor can be algebraically classified in a lorentzian spacetime of ar"}
{"subject": "math:arxiv_114692", "predicate": "proves", "object": "using the influence functional formalism , classical equations of motion for the @xmath0 model are d"}
{"subject": "math:arxiv_114696", "predicate": "proves", "object": "the notions of convexity and convex polytopes are introduced in the setting of tropical geometry . \n"}
{"subject": "math:arxiv_114708", "predicate": "proves", "object": "the kpii equation is an integrable nonlinear pde in 2 + 1 dimensions ( two spatial and one temporal "}
{"subject": "math:arxiv_114715", "predicate": "proves", "object": "we study exact , volume - preserving diffeomorphisms that have heteroclinic connections between a pa"}
{"subject": "math:arxiv_114745", "predicate": "proves", "object": "the mechanism of large - scale dynamos in rigidly rotating stratified convection is explored by dire"}
{"subject": "math:arxiv_114762", "predicate": "proves", "object": "based on a sequence of numerical computations , a conjecture is presented regarding the class of fun"}
{"subject": "math:arxiv_114767", "predicate": "proves", "object": "we study the pointwise perturbations of countable markov maps with infinitely many inverse branches "}
{"subject": "math:arxiv_114770", "predicate": "proves", "object": "let @xmath0 be the banach algebra of all bounded regular borel measures on a locally compact hausdor"}
{"subject": "math:arxiv_114781", "predicate": "proves", "object": "we study the dynamics of a system defined by the navier - stokes equations for a non - compressible "}
{"subject": "math:arxiv_114788", "predicate": "proves", "object": "in order to evaluate qualitatively the space - time evolution of hot and dense nuclear matter the un"}
{"subject": "math:arxiv_114812", "predicate": "proves", "object": "bps monopoles on @xmath0 correspond , via the generalized nahm transform , to certain solutions of t"}
{"subject": "math:arxiv_114836", "predicate": "proves", "object": "the interaction of magnetic fields and stratified convection was studied in the context of the solar"}
{"subject": "math:arxiv_114838", "predicate": "proves", "object": "the first principle derivation of kinetic transport equations suggests that a cp - violating mass te"}
{"subject": "math:arxiv_114841", "predicate": "proves", "object": "we study in this paper the continuous and discrete euler - lagrange equations arising from a quadrat"}
{"subject": "math:arxiv_114869", "predicate": "proves", "object": "the flow equation method was proposed by wegner as a technique for studying interacting systems in o"}
{"subject": "math:arxiv_114877", "predicate": "proves", "object": "we derive an asymptotic formula for the amplitude distribution in a fully nonlinear shallow - water "}
{"subject": "math:arxiv_114880", "predicate": "proves", "object": "we provide a proof of the alpern multi - tower theorem for @xmath0 actions . \n we reformulate the th"}
{"subject": "math:arxiv_114898", "predicate": "proves", "object": "this paper is dedicated to the factorizations of the symmetric group . introducing a new bijection f"}
{"subject": "math:arxiv_114902", "predicate": "proves", "object": "we study the dynamical equations for extra - dimensional dependence of a warp factor and a bulk scal"}
{"subject": "math:arxiv_114903", "predicate": "proves", "object": "basing on evaluation of the racah coefficients for @xmath0 ( which supported the earlier conjecture "}
{"subject": "math:arxiv_114924", "predicate": "proves", "object": "this is a report on the global aspects of the langlands - shahidi method which in conjunction with c"}
{"subject": "math:arxiv_114936", "predicate": "proves", "object": "we characterize the rank of edge connection matrices of partition functions of real vertex models , "}
{"subject": "math:arxiv_114948", "predicate": "proves", "object": "we use the heegaard - floer homology correction terms defined by ozsvth  szab to formulate a new obs"}
{"subject": "math:arxiv_114971", "predicate": "proves", "object": "this inquiry is based on both the construction of generalized incidence rings due to gene abrams and"}
{"subject": "math:arxiv_115005", "predicate": "proves", "object": "the reheating stage in post - inflationary cosmologies is reanalyzed . \n new techniques from non - e"}
{"subject": "math:arxiv_115013", "predicate": "proves", "object": "we report on a numerical study of the boltzmann equation including @xmath0 scatterings of gluons and"}
{"subject": "math:arxiv_115014", "predicate": "proves", "object": "using the first - principles gw - bethe - salpeter equation method , here we study the excited - sta"}
{"subject": "math:arxiv_115019", "predicate": "proves", "object": "we study the propagation of stationary waves in disordered non - linear media described by the nonli"}
{"subject": "math:arxiv_115026", "predicate": "proves", "object": "a weak coupling quantum master equation provides reliable steady - state results only in the van hov"}
{"subject": "math:arxiv_115039", "predicate": "proves", "object": "the inclusion of source terms in discrete gravity is a long - standing problem . \n providing a consi"}
{"subject": "math:arxiv_115053", "predicate": "proves", "object": "we study the fluctuations of certain random matrix products @xmath0 of @xmath1 , describing localisa"}
{"subject": "math:arxiv_115055", "predicate": "proves", "object": "in this paper we established the condition for a curve to satisfy stochastic generalized fractional "}
{"subject": "math:arxiv_115071", "predicate": "proves", "object": "we derive the effective dimensionally reduced schrdinger equation with spin - orbit interaction in l"}
{"subject": "math:arxiv_115092", "predicate": "proves", "object": "we propose a new formalism to study the abjm matrix model . \n contrary to expressing the fractional "}
{"subject": "math:arxiv_115103", "predicate": "proves", "object": "the aim of our work is to develop a unified equation of state ( eos ) for nuclear and quark matter f"}
{"subject": "math:arxiv_115132", "predicate": "proves", "object": "we compute the a - polynomial 2-tuple of twisted whitehead links . as applications , we determine ca"}
{"subject": "math:arxiv_115141", "predicate": "proves", "object": "we use the representation theory of preprojective algebras to construct and study certain cluster al"}
{"subject": "math:arxiv_115176", "predicate": "proves", "object": "a dynamical , non - euclidean spacetime geometry in general relativity theory implies the possibilit"}
{"subject": "math:arxiv_115184", "predicate": "proves", "object": "we use the bohr - sommerfeld quantization approach in the context of constituent quark models . \n th"}
{"subject": "math:arxiv_115187", "predicate": "proves", "object": "the kerr metric is one of the most important solutions to einstein s field equations , describing th"}
{"subject": "math:arxiv_115189", "predicate": "proves", "object": "a well - known conjecture of grnbaum and nash - williams proposes that @xmath0-connected toroidal gr"}
{"subject": "math:arxiv_115256", "predicate": "proves", "object": "this paper presents an algebraic formulation of the renormalization group flow in quantum mechanics "}
{"subject": "math:arxiv_115285", "predicate": "proves", "object": "dijkgraaf and vafa have conjectured that the effective superpotentials for @xmath0 four - dimensiona"}
{"subject": "math:arxiv_115304", "predicate": "proves", "object": "self - similar solutions provide good descriptions for the gravitational collapse of spherical cloud"}
{"subject": "math:arxiv_115309", "predicate": "proves", "object": "we introduce a simple linear equation relating the line - of - sight peculiar velocity and density c"}
{"subject": "math:arxiv_115346", "predicate": "proves", "object": "we present a rigorous framework to obtain evolution equations for the momentum distribution and high"}
{"subject": "math:arxiv_115358", "predicate": "proves", "object": "motivated by the paraxial narrow  angle approximation of the helmholtz equation in domains of variab"}
{"subject": "math:arxiv_115365", "predicate": "proves", "object": "using extended khuri - treiman equations , we evaluate the final state interactions due to two - pio"}
{"subject": "math:arxiv_115372", "predicate": "proves", "object": "tropicalization is a procedure that takes subvarieties of an algebraic torus to balanced weighted ra"}
{"subject": "math:arxiv_115379", "predicate": "proves", "object": "the basic adiabatic theorems of classical and quantum mechanics are over - viewed and an adiabatic t"}
{"subject": "math:arxiv_115392", "predicate": "proves", "object": "the universal extra dimensions model has been implemented in the pythia generator from version 6.4.1"}
{"subject": "math:arxiv_115403", "predicate": "proves", "object": "the willmore flow is well known problem from the differential geometry . \n it minimizes the willmore"}
{"subject": "math:arxiv_115414", "predicate": "proves", "object": "the dicke model is derived in the contraction limit of a pseudo - deformation of the quasispin algeb"}
{"subject": "math:arxiv_115421", "predicate": "proves", "object": "the faddeev - yakubovsky equations have been solved in configuration space for the four nucleon syst"}
{"subject": "math:arxiv_115425", "predicate": "proves", "object": "in many real - world networks , nodes have class labels , attributes , or variables that affect the "}
{"subject": "math:arxiv_115437", "predicate": "proves", "object": "we introduce a method that can be used to evolve the topology of a network in a way that preserves b"}
{"subject": "math:arxiv_115454", "predicate": "proves", "object": "we have developed a formulation of density functional perturbation theory for the calculation of vib"}
{"subject": "math:arxiv_115467", "predicate": "proves", "object": "the effect of the electromagnetic squeezed vacuum on the dynamics of a nonrelativistic charge is stu"}
{"subject": "math:arxiv_115500", "predicate": "proves", "object": "i classify multiphoton absorption into separable , linked , and simultaneous processes . \n the first"}
{"subject": "math:arxiv_115507", "predicate": "proves", "object": "we propose a new convergent time semi - discrete scheme for the stochastic landau - lifshitz - gilbe"}
{"subject": "math:arxiv_115521", "predicate": "proves", "object": "we slightly extend the fluctuation theorem obtained in @xcite for sums of generators , considering c"}
{"subject": "math:arxiv_115526", "predicate": "proves", "object": "the well - known hill s averaging theorems for stresses and strains as well as the so - called hill "}
{"subject": "math:arxiv_115531", "predicate": "proves", "object": "in this article we review some recent progresses in the field of non - equilibrium linear response t"}
{"subject": "math:arxiv_115538", "predicate": "proves", "object": "we derive the advection of magnetic fields due to gradients in magnetic diffusivity , starting from "}
{"subject": "math:arxiv_115540", "predicate": "proves", "object": "the thermodynamic properties of dark energy - dominated universe in the presence of a black hole are"}
{"subject": "math:arxiv_115544", "predicate": "proves", "object": "an acoustic wave equation for pressure accounting for viscoelastic attenuation is derived from visco"}
{"subject": "math:arxiv_115548", "predicate": "proves", "object": "in two dimensions the gross - pitaevskii equation for a cold , dilute gas of bosons has an energy de"}
{"subject": "math:arxiv_115554", "predicate": "proves", "object": "in 1980 , van dommelen and shen provided a numerical simulation that predicts the spontaneous genera"}
{"subject": "math:arxiv_115572", "predicate": "proves", "object": "we show the existence of a stable algebraic spin liquid ( asl ) phase in a hubbard model defined on "}
{"subject": "math:arxiv_115597", "predicate": "proves", "object": "we consider knots equipped with a representation of their knot groups onto a dihedral group @xmath0 "}
{"subject": "math:arxiv_115601", "predicate": "proves", "object": "we demonstrate that the ` microscopic ' field theory representation , directly derived from the corr"}
{"subject": "math:arxiv_115610", "predicate": "proves", "object": "in this article we apply a recently invented analytical real - space renormalization group formulati"}
{"subject": "math:arxiv_115618", "predicate": "proves", "object": "we present a framework for the study of lensing in spherically symmetric spacetimes within the conte"}
{"subject": "math:arxiv_115637", "predicate": "proves", "object": "for arbitrary values of a parameter @xmath0 finite - time blow - up of solutions to the generalized "}
{"subject": "math:arxiv_115638", "predicate": "proves", "object": "we analyse @xmath0-functional equations arising from tree - like combinatorial structures , which ar"}
{"subject": "math:arxiv_115644", "predicate": "proves", "object": "we describe the equation of motion of two charged spherical shells with tangential pressure in the f"}
{"subject": "math:arxiv_115656", "predicate": "proves", "object": "we introduce nsabc/@xmath0 nice - structured algebraic block cipher using @xmath0-bit word arithmeti"}
{"subject": "math:arxiv_115657", "predicate": "proves", "object": "we have recently derived a factorization formula for the higgs - boson production cross section in t"}
{"subject": "math:arxiv_115671", "predicate": "proves", "object": "electron transport in a self - consistent potential along a ballistic two - terminal conductor has b"}
{"subject": "math:arxiv_115680", "predicate": "proves", "object": "the thawing quintessence model with a nearly flat potential provides a natural mechanism to produce "}
{"subject": "math:arxiv_115683", "predicate": "proves", "object": "scannell and sinha considered a spectral sequence to calculate the rational homotopy groups of space"}
{"subject": "math:arxiv_115688", "predicate": "proves", "object": "we demonstrate relationships between the classic euclidean algorithm and many other fields of study "}
{"subject": "math:arxiv_115720", "predicate": "proves", "object": "we provide an equation of state for high density supernova matter by applying a momentum - dependent"}
{"subject": "math:arxiv_115730", "predicate": "proves", "object": "let  @xmath0 , @xmath1 , \n be a sequence of positive numbers that converges to zero . \n a generaliza"}
{"subject": "math:arxiv_115743", "predicate": "proves", "object": "a system of interacting brownian particles subject to short - range repulsive potentials is consider"}
{"subject": "math:arxiv_115744", "predicate": "proves", "object": "here , we classify lie groups acting isometrically on compact lorentz manifolds , and in particular "}
{"subject": "math:arxiv_115745", "predicate": "proves", "object": "the electromagnetic interactions of a relativistic two - body bound state are formulated in three di"}
{"subject": "math:arxiv_115767", "predicate": "proves", "object": "we present ( with proof ) a new family of decomposable specht modules for the symmetric group in cha"}
{"subject": "math:arxiv_115787", "predicate": "proves", "object": "by the multiple - scale method some new approximate absorbing boundary conditions for the schrdinger"}
{"subject": "math:arxiv_115790", "predicate": "proves", "object": "we play with a graph - theoretic analogue of the folklore infinite monkey theorem . \n we define a no"}
{"subject": "math:arxiv_115830", "predicate": "proves", "object": "a novel scheme for the steady state solution of the standard redfield quantum master equation is dev"}
{"subject": "math:arxiv_115852", "predicate": "proves", "object": "we study localised activity patterns in neural field equations posed on the euclidean plane ; such m"}
{"subject": "math:arxiv_115864", "predicate": "proves", "object": "the directional behavior of dominant components of algebraically special spin-@xmath0 fields near a "}
{"subject": "math:arxiv_115865", "predicate": "proves", "object": "we establish a general uniqueness theorem for subharmonic functions of several variables on a domain"}
{"subject": "math:arxiv_115870", "predicate": "proves", "object": "the quantitative formulation of bohr s complementarity proposed by greenberger and yasin is applied "}
{"subject": "math:arxiv_115884", "predicate": "proves", "object": "the initial geometry effect on collective flows , which are inherited from initial projectile struct"}
{"subject": "math:arxiv_115885", "predicate": "proves", "object": "the aim of the paper is to introduce an alternative notion of two - scale convergence which gives a "}
{"subject": "math:arxiv_115893", "predicate": "proves", "object": "i propose a method for studying the product of bandwidths for the harper - hofstader model . \n this "}
{"subject": "math:arxiv_115895", "predicate": "proves", "object": "motivated by the nekrasov - okounkov formula on hook lengths , the first author conjectured that @xm"}
{"subject": "math:arxiv_115900", "predicate": "proves", "object": "the stability of two quantum counter - streaming electron beams is investigated within the quantum p"}
{"subject": "math:arxiv_115904", "predicate": "proves", "object": "we report a solution of the one - dimensional schrdinger equation with a hyperbolic double - well co"}
{"subject": "math:arxiv_115906", "predicate": "proves", "object": "we present results from a study of subtractive renormalization of the fermion propagator dyson - sch"}
{"subject": "math:arxiv_115910", "predicate": "proves", "object": "replacing the newtonian coupling @xmath0 by @xmath1 , the schrdinger \n newton equation becomes `` fr"}
{"subject": "math:arxiv_115912", "predicate": "proves", "object": "this paper discusses the so called holographic solution , in short `` holostar '' . the holostar is "}
{"subject": "math:arxiv_115918", "predicate": "proves", "object": "the collatz conjecture ( also known as the @xmath0 problem ) concerns the behavior of the discrete d"}
{"subject": "math:arxiv_115921", "predicate": "proves", "object": "recent research on multiple kernel learning has lead to a number of approaches for combining kernels"}
{"subject": "math:arxiv_115927", "predicate": "proves", "object": "in this paper , we will employ the technique used in the proof of classical singleton bound to deriv"}
{"subject": "math:arxiv_115935", "predicate": "proves", "object": "we derive the second - order hydrodynamic equation and the microscopic formulae of the relaxation ti"}
{"subject": "math:arxiv_115942", "predicate": "proves", "object": "the tropical semiring @xmath0 has enjoyed a recent renaissance , owing to its connections to mathema"}
{"subject": "math:arxiv_115963", "predicate": "proves", "object": "the velocity of the hubble expansion has been added to general relativity by moshe carmeli and this "}
{"subject": "math:arxiv_115965", "predicate": "proves", "object": "the method of separation of variables can be used to solve many separable linear partial differentia"}
{"subject": "math:arxiv_115976", "predicate": "proves", "object": "the linear intensity profile of multiply scattered light in a slab geometry extrapolates to zero at "}
{"subject": "math:arxiv_115992", "predicate": "proves", "object": "we construct cluster algebras the variables and coefficients of which satisfy the discrete mkdv equa"}
{"subject": "math:arxiv_115999", "predicate": "proves", "object": "we show that an interaction between dark matter and dark energy generically results in an effective "}
{"subject": "math:arxiv_116019", "predicate": "proves", "object": "we present a rigorous functional analytic setting to study the radial wave equation in similarity co"}
{"subject": "math:arxiv_116022", "predicate": "proves", "object": "we present a unified description of the relativistic @xmath0  and @xmath1 systems where the strong i"}
{"subject": "math:arxiv_116023", "predicate": "proves", "object": "the interplay between topology and dynamics in complex networks is a fundamental but poorly explored"}
{"subject": "math:arxiv_116037", "predicate": "proves", "object": "we modify the public pm code developed by anatoly klypin and jon holtzman to simulate cosmology with"}
{"subject": "math:arxiv_116041", "predicate": "proves", "object": "a reduced hamiltonian formulation to reproduce the saturated regime of a single pass free electron l"}
{"subject": "math:arxiv_116051", "predicate": "proves", "object": "we investigate the soliton dynamics for the fractional nonlinear schrdinger equation by a suitable m"}
{"subject": "math:arxiv_116070", "predicate": "proves", "object": "we try to give a cluster algebraic interpretation of complex volume of knots . \n we construct the @x"}
{"subject": "math:arxiv_116071", "predicate": "proves", "object": "we develop an analogy between right - angled artin groups and mapping class groups through the geome"}
{"subject": "math:arxiv_116092", "predicate": "proves", "object": "we show that asymptotically hyperbolic solutions of the einstein constraint equations with constant "}
{"subject": "math:arxiv_116097", "predicate": "proves", "object": "we study the problem of quantum - state tomography under the assumption that the state of the system"}
{"subject": "math:arxiv_116102", "predicate": "proves", "object": "we study differential operators , whose coefficients define noncommutative algebras . as algebra of "}
{"subject": "math:arxiv_116104", "predicate": "proves", "object": "we study large top quark mass effects on low energy physics in the chiral lagrangian formulated elec"}
{"subject": "math:arxiv_116105", "predicate": "proves", "object": "we prove tsirelson s conjecture that any scaling limit of the critical planar percolation is a black"}
{"subject": "math:arxiv_116107", "predicate": "proves", "object": "a phenomenological theory of luminescence properties of one - dimensional resonant photonic crystals"}
{"subject": "math:arxiv_116109", "predicate": "proves", "object": "we present a detailed theoretical analysis of micro - motion in a time - averaged orbiting potential"}
{"subject": "math:arxiv_116113", "predicate": "proves", "object": "we address the classical stellar - atmosphere problem and describe our method of numerical solution "}
{"subject": "math:arxiv_116121", "predicate": "proves", "object": "consider the spaces of s between s over the line as modules of the lie algebra of s on the line . \n "}
{"subject": "math:arxiv_116136", "predicate": "proves", "object": "we report on the time dependent solutions of the @xmath0generalized schrdinger equation proposed by "}
{"subject": "math:arxiv_116156", "predicate": "proves", "object": "we place additional constraints on the three parameters of the dark matter halo merger rate function"}
{"subject": "math:arxiv_116174", "predicate": "proves", "object": "integral equation theory of pure liquids , combined with a new `` scaling approximation '' based on "}
{"subject": "math:arxiv_116191", "predicate": "proves", "object": "in this paper the free energy of the mass deformed abjm theory on @xmath0 in the large @xmath1 limit"}
{"subject": "math:arxiv_116196", "predicate": "proves", "object": "we present results from a first test of the gaussianity of degree - scale cosmic microwave backgroun"}
{"subject": "math:arxiv_116199", "predicate": "proves", "object": "we analyze the exact general relativistic exact integro - differential equation of radiative transfe"}
{"subject": "math:arxiv_116207", "predicate": "proves", "object": "an automorphism @xmath0 of a group @xmath1 is normal if it fixes every normal subgroup of @xmath1 se"}
{"subject": "math:arxiv_116214", "predicate": "proves", "object": "we present the gross - pitaevskii equation for bose - einstein condensates ( becs ) possessing the e"}
{"subject": "math:arxiv_116215", "predicate": "proves", "object": "we investigate the dynamics of large stochastic networks with different timescales and nonlinear mea"}
{"subject": "math:arxiv_116228", "predicate": "proves", "object": "j.  tuma proved an interesting `` congruence amalgamation '' result . \n we are generalizing and prov"}
{"subject": "math:arxiv_116230", "predicate": "proves", "object": "1 pc    we present a general formulation of the time - dependent initial value problem for a quantum"}
{"subject": "math:arxiv_116241", "predicate": "proves", "object": "a numerical approach for the approximation of inertial manifolds of stochastic evolutionary equation"}
{"subject": "math:arxiv_116247", "predicate": "proves", "object": "an important theorem of geometric measure theory ( first proved by besicovitch and davies for euclid"}
{"subject": "math:arxiv_116251", "predicate": "proves", "object": "motivated by the increasing evidence for the need of a geometry that resembles bianchi morphology to"}
{"subject": "math:arxiv_116253", "predicate": "proves", "object": "we consider a family of non - compact manifolds @xmath0 ( `` graph - like manifolds '' ) approaching"}
{"subject": "math:arxiv_116268", "predicate": "proves", "object": "we analyze paired phases of cold bosonic atoms with the hyper spin @xmath0 and with an attractive in"}
{"subject": "math:arxiv_116289", "predicate": "proves", "object": "given a genus-@xmath0 heegaard splitting of a @xmath1-manifold , the goeritz group is defined to be "}
{"subject": "math:arxiv_116298", "predicate": "proves", "object": "we study equilibrium states in relativistic galactic dynamics which are described by stationary solu"}
{"subject": "math:arxiv_116314", "predicate": "proves", "object": "we define a generalized fixed contact angle condition for @xmath0-varifold and establish a boundary "}
{"subject": "math:arxiv_116315", "predicate": "proves", "object": "we discuss the origin and relevance for computer simulations of a strong finite - size effect that a"}
{"subject": "math:arxiv_116321", "predicate": "proves", "object": "we derive the boundary condition for the dirac equation corresponding to a tight - binding model on "}
{"subject": "math:arxiv_116334", "predicate": "proves", "object": "covariant generalizations of well - known wave equations predict the existence of inertial - gravita"}
{"subject": "math:arxiv_116341", "predicate": "proves", "object": "the lamppost model is often used to describe the x - ray source geometry in agn , where an infinites"}
{"subject": "math:arxiv_116352", "predicate": "proves", "object": "in this paper , we apply sensitivity methods to nonlinear pdes like burgers and kpz equations . \n th"}
{"subject": "math:arxiv_116356", "predicate": "proves", "object": "we give a simple proof of weak unique continuation property for perturbed dirac operators , using th"}
{"subject": "math:arxiv_116362", "predicate": "proves", "object": "weinberg s theorem for @xmath0 scattering , including the adler zero at threshold in the chiral limi"}
{"subject": "math:arxiv_116363", "predicate": "proves", "object": "in this paper we show how , under certain restrictions , the hydrodynamic equations for the freely e"}
{"subject": "math:arxiv_116370", "predicate": "proves", "object": "the modified newtonian dynamics ( mond ) has been formulated as a modification of the poisson equati"}
{"subject": "math:arxiv_116379", "predicate": "proves", "object": "we study satellites of legendrian knots in @xmath0 and their relation to the chekanov  eliashberg di"}
{"subject": "math:arxiv_116381", "predicate": "proves", "object": "we study the cosmology of an extended version of horndeski theories with second - order equations of"}
{"subject": "math:arxiv_116402", "predicate": "proves", "object": "the key step of syndrome - based decoding of reed  solomon codes up to half the minimum distance is "}
{"subject": "math:arxiv_116406", "predicate": "proves", "object": "in this work we establish a relationship between cartan s geometric approach to third order odes and"}
{"subject": "math:arxiv_116409", "predicate": "proves", "object": "the orbit space @xmath0 of the group @xmath1 acting adjointly on the state space @xmath2 of a 3-leve"}
{"subject": "math:arxiv_116415", "predicate": "proves", "object": "perturbation theory for lattice fermions with domain wall mass terms is developed and is applied to "}
{"subject": "math:arxiv_116434", "predicate": "proves", "object": "we view closed orientable 3-manifolds as covers of @xmath0 branched over hyperbolic links . for a co"}
{"subject": "math:arxiv_116453", "predicate": "proves", "object": "higgs algebras are used to construct rotational hamiltonians . the correspondence between the spectr"}
{"subject": "math:arxiv_116471", "predicate": "proves", "object": "einstein s equations are solved for spherically symmetric universes composed of dust with tangential"}
{"subject": "math:arxiv_116476", "predicate": "proves", "object": "neumann - lara conjectured in 1985 that every planar digraph with digirth at least three is 2-colour"}
{"subject": "math:arxiv_116480", "predicate": "proves", "object": "the influence of the rotation on the total masses and radii of the neutron stars are calculated by t"}
{"subject": "math:arxiv_116522", "predicate": "proves", "object": "we use symmetry arguments developed by gubser to construct the first radially - expanding explicit s"}
{"subject": "math:arxiv_116539", "predicate": "proves", "object": "a master equation approach to the numerical solution of option pricing models is developed . \n the b"}
{"subject": "math:arxiv_116546", "predicate": "proves", "object": "the spectral problem for @xmath0 symmetric polynomial potentials allows for a partial algebraic solu"}
{"subject": "math:arxiv_116555", "predicate": "proves", "object": "this paper tests a dielectric model for variation of hydration free energy with geometry of complex "}
{"subject": "math:arxiv_116577", "predicate": "proves", "object": "we consider @xmath0-soliton solutions of the kp equation , @xmath1 an @xmath0-soliton solution is a "}
{"subject": "math:arxiv_116589", "predicate": "proves", "object": "the problem of representing text documents within an information retrieval system is formulated as a"}
{"subject": "math:arxiv_116609", "predicate": "proves", "object": "using a master - equation approach for the description of coherent and incoherent dynamics in ` arti"}
{"subject": "math:arxiv_116616", "predicate": "proves", "object": "we investigate the influence of the full vacuum polarization and vertex function on the fermion prop"}
{"subject": "math:arxiv_116626", "predicate": "proves", "object": "potential algebras can be used effectively in the analysis of the quantum systems . in the article ,"}
{"subject": "math:arxiv_116631", "predicate": "proves", "object": "we study _ analytically _ the initial value problem for a _ self - interacting _ ( massive ) scalar "}
{"subject": "math:arxiv_116648", "predicate": "proves", "object": "we prove that a popular classical implicit - explicit scheme for the 2d incompressible navier \n stok"}
{"subject": "math:arxiv_116678", "predicate": "proves", "object": "the transport equations for polarized radiation transfer in non - riemannian , weyl - cartan type sp"}
{"subject": "math:arxiv_116687", "predicate": "proves", "object": "we revisit on rational solution of sasa - satsuma equation , which can be used to describe evolution"}
{"subject": "math:arxiv_116690", "predicate": "proves", "object": "the ohmic conductance and current through two quantum dots in series is investigated for the case of"}
{"subject": "math:arxiv_116706", "predicate": "proves", "object": "the equation of state of qcd matter for temperatures near and above the quark - hadron transition ( "}
{"subject": "math:arxiv_116712", "predicate": "proves", "object": "external fluctuations have a wide variety of constructive effects on the dynamical behavior of spati"}
{"subject": "math:arxiv_116716", "predicate": "proves", "object": "we study the problem of efficient integration of variational equations in multi - dimensional hamilt"}
{"subject": "math:arxiv_116722", "predicate": "proves", "object": "we analyze a generalized version of the black - scholes equation depending on a parameter @xmath0 . "}
{"subject": "math:arxiv_116725", "predicate": "proves", "object": "the idea of predicting the future from the knowledge of the past is quite natural when dealing with "}
{"subject": "math:arxiv_116726", "predicate": "proves", "object": "we consider stochastic model based on the linear stochastic differential equation with the linear re"}
{"subject": "math:arxiv_116730", "predicate": "proves", "object": "frw models of the universe have been studied in the cosmological theory based on lyra s manifold . \n"}
{"subject": "math:arxiv_116739", "predicate": "proves", "object": "we examine the proposal made recently that the @xmath0 modular invariant partition functions could b"}
{"subject": "math:arxiv_116744", "predicate": "proves", "object": "we investigate a formulation of continuum 4d gravity in terms of a constrained topological ( bf ) th"}
{"subject": "math:arxiv_116747", "predicate": "proves", "object": "this paper develops and analyzes some continuous interior penalty finite element methods ( cip - fem"}
{"subject": "math:arxiv_116750", "predicate": "proves", "object": "the general procedure underlying hartree  fock and kohn  sham density functional theory calculations"}
{"subject": "math:arxiv_116753", "predicate": "proves", "object": "we present an exact electrovacuum solution of einstein - maxwell equations with infinite sets of mul"}
{"subject": "math:arxiv_116786", "predicate": "proves", "object": "we have performed two - dimensional special - relativistic magnetohydrodynamic simulations of non - "}
{"subject": "math:arxiv_116795", "predicate": "proves", "object": "a diffusive lattice gas is characterized by the diffusion coefficient depending only on the density "}
{"subject": "math:arxiv_116819", "predicate": "proves", "object": "this paper focuses on unconditionally optimal error analysis of an uncoupled and linearized crank  n"}
{"subject": "math:arxiv_116822", "predicate": "proves", "object": "in the present paper the three state potts model with competing binary interactions ( with couplings"}
{"subject": "math:arxiv_116830", "predicate": "proves", "object": "we compute the hochschild homology and cohomology , and cyclic homology , of almost calabi - yau alg"}
{"subject": "math:arxiv_116832", "predicate": "proves", "object": "we present a novel technique for the calculation of dynamical correlation functions of quantum impur"}
{"subject": "math:arxiv_116842", "predicate": "proves", "object": "motivated by the lower central series of a group , we define the notion of a _ grope cobordism _ bet"}
{"subject": "math:arxiv_116850", "predicate": "proves", "object": "we study three dimensional insulators with inversion symmetry , in which other point group symmetrie"}
{"subject": "math:arxiv_116852", "predicate": "proves", "object": "let @xmath0 be a set of @xmath1 points and @xmath2 a set of @xmath3 lines in @xmath4 , such that the"}
{"subject": "math:arxiv_116870", "predicate": "proves", "object": "we prove an analogue for trees of courant s theorem on nodes of eigenfunctions of a schrdinger opera"}
{"subject": "math:arxiv_116886", "predicate": "proves", "object": "the euclidean path integral method is applied to a quantum tunneling model which accounts for finite"}
{"subject": "math:arxiv_116891", "predicate": "proves", "object": "the equilibrium value of an observable defines a manifold in the phase space of an ergodic and equip"}
{"subject": "math:arxiv_116901", "predicate": "proves", "object": "the present paper gives two concrete formulas for the volume of an arbitrary spherical tetrahedron ,"}
{"subject": "math:arxiv_116908", "predicate": "proves", "object": "correlation boxes are hypothetical systems capable of producing the maximal algebraic violation of b"}
{"subject": "math:arxiv_116921", "predicate": "proves", "object": "we consider a nonlinear dispersive equation with a quasilinear quadratic term . \n we establish two r"}
{"subject": "math:arxiv_116927", "predicate": "proves", "object": "a middle - cube is an induced subgraph consisting of nodes at the middle two layers of a hypercube ."}
{"subject": "math:arxiv_116928", "predicate": "proves", "object": "we present two examples of reductions from the evolution equations describing discrete schlesinger t"}
{"subject": "math:arxiv_116931", "predicate": "proves", "object": "we develop a statistical theory describing quantum - mechanical scattering of a particle by a cavity"}
{"subject": "math:arxiv_116932", "predicate": "proves", "object": "we study the dynamics of a single and a corotating vortex pair in a dipolar bose - einstein condensa"}
{"subject": "math:arxiv_116944", "predicate": "proves", "object": "we show that the lattice games of guo and miller support universal computation , disproving their co"}
{"subject": "math:arxiv_116945", "predicate": "proves", "object": "this paper studies intermediate homogenization of inhomogeneous cosmological models . \n it shows tha"}
{"subject": "math:arxiv_116947", "predicate": "proves", "object": "given an action of an affine algebraic group with only trivial characters on a factorial variety , w"}
{"subject": "math:arxiv_116966", "predicate": "proves", "object": "we give a new construction of slice knots via annulus twists which provides potential counterexample"}
{"subject": "math:arxiv_116994", "predicate": "proves", "object": "we present a proof - of - concept study that dust extinction curves can be extracted from the infrar"}
{"subject": "math:arxiv_117025", "predicate": "proves", "object": "we adapt the kolmogorov s normalization algorithm ( which is the key element of the original proof s"}
{"subject": "math:arxiv_117038", "predicate": "proves", "object": "we derive the filtering equation for markovian systems undergoing homodyne measurement in the situat"}
{"subject": "math:arxiv_117055", "predicate": "proves", "object": "the bound state of constituent quarks forming a @xmath0 composite baryon is investigated in a qcd - "}
{"subject": "math:arxiv_117104", "predicate": "proves", "object": "we establish asymptotic formulae for the first and second moments of quadratic dirichlet @xmath0func"}
{"subject": "math:arxiv_117105", "predicate": "proves", "object": "the conjecture that some unknown symmetry is responsible for keeping the higgs boson light at 125 ge"}
{"subject": "math:arxiv_117107", "predicate": "proves", "object": "we rederive a popular nonsemisimple fusion algebra in the braided context , from a nichols algebra ."}
{"subject": "math:arxiv_117110", "predicate": "proves", "object": "using the diagrammatic calculus for soergel bimodules , developed by b. elias and m. khovanov , as w"}
{"subject": "math:arxiv_117111", "predicate": "proves", "object": "we prove the optimal version of the hrmander multiplier theorem concerning bilinear multiplier opera"}
{"subject": "math:arxiv_117121", "predicate": "proves", "object": "the high velocities observed in supernovae require a relativistic treatment for the equation of moti"}
{"subject": "math:arxiv_117138", "predicate": "proves", "object": "in a recent paper titled _ the parbelos , a parabolic analog of the arbelos _ , sondow asks for a sy"}
{"subject": "math:arxiv_117139", "predicate": "proves", "object": "in many time - dependent problems of practical interest the parameters entering the equations descri"}
{"subject": "math:arxiv_117146", "predicate": "proves", "object": "in the context of the teleparallel equivalent of general relativity , the weitzenbck manifold is con"}
{"subject": "math:arxiv_117154", "predicate": "proves", "object": "the study of the perturbative odderon at high gluon densities in the color glass condensate requires"}
{"subject": "math:arxiv_117155", "predicate": "proves", "object": "the motion of two distant trapped particles or mechanical oscillators can be strongly coupled by lig"}
{"subject": "math:arxiv_117157", "predicate": "proves", "object": "the kauffman bracket skein modules , @xmath0 have been calculated for @xmath1 for all @xmath2-manifo"}
{"subject": "math:arxiv_117176", "predicate": "proves", "object": "the _ gedanken _ experiment of the clock paradox is solved exactly using the general relativistic eq"}
{"subject": "math:arxiv_117186", "predicate": "proves", "object": "an aspect of the synchronization dynamics is investigated in this work . \n we argue analytically and"}
{"subject": "math:arxiv_117191", "predicate": "proves", "object": "we investigate the breathing of optical spatial solitons in highly nonlocal media . \n generalizing t"}
{"subject": "math:arxiv_117211", "predicate": "proves", "object": "the cachazo - he - yuan ( chy ) formula for @xmath0-gluon scattering is known to give the same ampli"}
{"subject": "math:arxiv_117242", "predicate": "proves", "object": "this paper unifies problems and results related to ( embedding ) universal and homomorphism universa"}
{"subject": "math:arxiv_117244", "predicate": "proves", "object": "we prove that the geometric bogomolov conjecture for any abelian varieties is reduced to that for no"}
{"subject": "math:arxiv_117245", "predicate": "proves", "object": "spectral determinants have proven to be valuable tools for resumming the periodic orbits in the gutz"}
{"subject": "math:arxiv_117286", "predicate": "proves", "object": "we give several general theorems concerning positive definite solutions of riemann - hilbert problem"}
{"subject": "math:arxiv_117291", "predicate": "proves", "object": "this article deals with the weak errors for averaging principle for a stochastic wave equation in a "}
{"subject": "math:arxiv_117321", "predicate": "proves", "object": "in this paper we generalize to coisotropic actions of compact lie groups a theorem of guillemin on d"}
{"subject": "math:arxiv_117336", "predicate": "proves", "object": "in finite element models based on the weak - form galerkin formulation the equilibrium of forces is "}
{"subject": "math:arxiv_117338", "predicate": "proves", "object": "let @xmath0 be a distribution function on the line in the domain of attraction of a stable law with "}
{"subject": "math:arxiv_117377", "predicate": "proves", "object": "we show that a subspace @xmath0 of the space of real analytical functions on a manifold that satisfi"}
{"subject": "math:arxiv_117390", "predicate": "proves", "object": "in this paper , we study the operator equation @xmath0 for a bounded operator @xmath1 on a complex h"}
{"subject": "math:arxiv_117391", "predicate": "proves", "object": "i consider the singular behaviour of tree - level qcd amplitudes when the momenta of three partons b"}
{"subject": "math:arxiv_117427", "predicate": "proves", "object": "a @xmath0 knot @xmath1 in a @xmath2-manifold @xmath3 is a knot that intersects each solid torus of a"}
{"subject": "math:arxiv_117431", "predicate": "proves", "object": "cosmic shear offers a remarkbly clean way to measure the equation of state of the universe and its e"}
{"subject": "math:arxiv_117437", "predicate": "proves", "object": "we believe the following three ingredients are enough to explain the mystery of the arrow of time : "}
{"subject": "math:arxiv_117447", "predicate": "proves", "object": "we study the set of @xmath0-periodic solutions of a class of @xmath0-periodically perturbed coupled "}
{"subject": "math:arxiv_117448", "predicate": "proves", "object": "circuit topology refers to the arrangement of interactions between objects belonging to a linearly o"}
{"subject": "math:arxiv_117482", "predicate": "proves", "object": "we derive transport equations for fermionic systems with a space - time dependent mass matrix in fla"}
{"subject": "math:arxiv_117483", "predicate": "proves", "object": "quasi - spherical light cones are lightlike hypersurfaces of the kerr geometry that are asymptotic t"}
{"subject": "math:arxiv_117509", "predicate": "proves", "object": "we present an analytical study of the effect of small convective cores on the oscillations of solar "}
{"subject": "math:arxiv_117523", "predicate": "proves", "object": "in order to fulfill low s theorem requirements , a new lowest order basis for bound state decay comp"}
{"subject": "math:arxiv_117528", "predicate": "proves", "object": "a scheme for solving whitham hierarchies satisfying a special class of string equations is presented"}
{"subject": "math:arxiv_117539", "predicate": "proves", "object": "simplicial geometries are collections of simplices making up a manifold together with an assignment "}
{"subject": "math:arxiv_117540", "predicate": "proves", "object": "we demonstrate that in optimal velocity model ( ovm ) delay times of vehicles coming from the dynami"}
{"subject": "math:arxiv_117577", "predicate": "proves", "object": "we discuss diagrammatic modifications to the coupled cluster doubles ( ccd ) equations , wherein dif"}
{"subject": "math:arxiv_117617", "predicate": "proves", "object": "the dimer - atom - atom recombination process in the system of four identical bosons with resonant i"}
{"subject": "math:arxiv_117621", "predicate": "proves", "object": "in this note we explain two transitions known for moment generating functions of local times by mean"}
{"subject": "math:arxiv_117632", "predicate": "proves", "object": "a theorem on subwavelength imaging with arrays of discrete sources is formulated . \n this theorem is"}
{"subject": "math:arxiv_117640", "predicate": "proves", "object": "in this paper we consider the functional it calculus framework to find a path - dependent version of"}
{"subject": "math:arxiv_117643", "predicate": "proves", "object": "a new type of langevin equation exhibiting a non trivial phase transition associated with the presen"}
{"subject": "math:arxiv_117724", "predicate": "proves", "object": "it is classically known that the only zero mean curvature entire graphs in the euclidean 3-space are"}
{"subject": "math:arxiv_117742", "predicate": "proves", "object": "using numerical simulation based on a density - functional equation for a trapped fermi super - flui"}
{"subject": "math:arxiv_117743", "predicate": "proves", "object": "this paper considers a multimessage network where each node may send a message to any other node in "}
{"subject": "math:arxiv_117745", "predicate": "proves", "object": "we establish large deviation formulas for linear statistics on the @xmath0 transmission eigenvalues "}
{"subject": "math:arxiv_117752", "predicate": "proves", "object": "we study the concept of the fourth skein module of @xmath0-manifolds , that is a skein module based "}
{"subject": "math:arxiv_117770", "predicate": "proves", "object": "a gauss diagram is a simple , combinatorial way to present a link . \n it is known that any vassiliev"}
{"subject": "math:arxiv_117785", "predicate": "proves", "object": "the resonant scattering of gap solitons ( gs ) of the periodic nonlinear schrdinger equation with a "}
{"subject": "math:arxiv_117793", "predicate": "proves", "object": "this is an exposition of the homological classification of actions of surface groups on the plane , "}
{"subject": "math:arxiv_117797", "predicate": "proves", "object": "we study the structure of renormalization hopf algebras of gauge theories . \n we identify certain ho"}
{"subject": "math:arxiv_117807", "predicate": "proves", "object": "we give another proof of a theorem of fife  understood broadly as providing a finite automaton that "}
{"subject": "math:arxiv_117808", "predicate": "proves", "object": "we give a generating set of the generalized reidemeister moves for oriented singular links . \n we us"}
{"subject": "math:arxiv_117818", "predicate": "proves", "object": "we study mass models that correspond to mond ( triaxial ) potentials for which the hamilton - jacobi"}
{"subject": "math:arxiv_117824", "predicate": "proves", "object": "we consider an operator of bernstein for symmetric functions , and give an explicit formula for its "}
{"subject": "math:arxiv_117829", "predicate": "proves", "object": "we provide new proofs for the non - existence of ovoids in hyperbolic spaces of rank at least four i"}
{"subject": "math:arxiv_117830", "predicate": "proves", "object": "darboux s theorem guarantees the existence of local canonical coordinates on symplectic manifolds un"}
{"subject": "math:arxiv_117835", "predicate": "proves", "object": "we present a novel method for estimation of the fiber orientation distribution ( fod ) function base"}
{"subject": "math:arxiv_117837", "predicate": "proves", "object": "visualization and interpretation of contingency tables by correspondence analysis ( ca ) , as develo"}
{"subject": "math:arxiv_117870", "predicate": "proves", "object": "following matveev , a _ @xmath0-normal surface _ in a triangulated @xmath1-manifold is a generalizat"}
{"subject": "math:arxiv_117878", "predicate": "proves", "object": "using the anelastic approximation of linearized hydrodynamic equations , we investigate the developm"}
{"subject": "math:arxiv_117880", "predicate": "proves", "object": "interplay of kinematic and magnetic forcing in a model of a conducting fluid with randomly driven ma"}
{"subject": "math:arxiv_117892", "predicate": "proves", "object": "we consider the problem of convergence in homogeneous shearing box simulations of magneto - rotation"}
{"subject": "math:arxiv_117893", "predicate": "proves", "object": "in this paper we consider scalar parabolic equations in a general non - smooth setting emphasizing i"}
{"subject": "math:arxiv_117910", "predicate": "proves", "object": "transport equation of the galactic cosmic ray ( gcr ) is numerically solved for @xmath0 and @xmath1 "}
{"subject": "math:arxiv_117926", "predicate": "proves", "object": "in this note , we use the recent work of honda - kazez - mati  @xcite to prove that a closed contact"}
{"subject": "math:arxiv_117935", "predicate": "proves", "object": "kinematical models are constrained by the latest observational data from geometry - distance measure"}
{"subject": "math:arxiv_117944", "predicate": "proves", "object": "a one - dimensional spin chain with random local interactions exhibits many - body localization . \n "}
{"subject": "math:arxiv_117955", "predicate": "proves", "object": "this article is concerned with conformal harmonic maps @xmath0 , where @xmath1 is a closed riemann s"}
{"subject": "math:arxiv_117963", "predicate": "proves", "object": "we study the conversion of a neutron star to a strange star as a possible energy source for @xmath0-"}
{"subject": "math:arxiv_118011", "predicate": "proves", "object": "the relativistic hydrodynamical equations are being examined with the aim of extracting the quantum "}
{"subject": "math:arxiv_118019", "predicate": "proves", "object": "in the context of modified newtonian dynamics , the fundamental plane , as the observational signatu"}
{"subject": "math:arxiv_118021", "predicate": "proves", "object": "linear operators preserving the direct sum of polynomial rings @xmath0 are constructed . in the case"}
{"subject": "math:arxiv_118033", "predicate": "proves", "object": "we formulate and analyze a theoretical model for the regulation of microtubule ( mt ) polymerization"}
{"subject": "math:arxiv_118042", "predicate": "proves", "object": "we study the term structure equation for single - factor models that predict nonnegative short rates"}
{"subject": "math:arxiv_118065", "predicate": "proves", "object": "suppose that @xmath0 $ ] , @xmath1 , defines a nodal cubic . in earlier papers we made a precise con"}
{"subject": "math:arxiv_118084", "predicate": "proves", "object": "in this paper we are interested with a strongly coupled system of partial differential equations tha"}
{"subject": "math:arxiv_118086", "predicate": "proves", "object": "the homogeneous bethe - salpeter equation is solved in the quenched ladder approximation for the vec"}
{"subject": "math:arxiv_118087", "predicate": "proves", "object": "an impact parameter dependent unintegrated gluon distribution is constructed as a solution of a nonl"}
{"subject": "math:arxiv_118095", "predicate": "proves", "object": "we classify moufang loops of order 64 and 81 up to isomorphism , using a linear algebraic approach t"}
{"subject": "math:arxiv_118126", "predicate": "proves", "object": "we derive a markovian master equation for the internal dynamics of an ensemble of two - level atoms "}
{"subject": "math:arxiv_118156", "predicate": "proves", "object": "the standard central limit theorem with a gaussian attractor for the sum of independent random varia"}
{"subject": "math:arxiv_118158", "predicate": "proves", "object": "we solve the schrdinger equation for an interacting spin - chain locally coupled to a quantum enviro"}
{"subject": "math:arxiv_118159", "predicate": "proves", "object": "the technique of differential intertwining operators ( or darboux transformation operators ) is syst"}
{"subject": "math:arxiv_118174", "predicate": "proves", "object": "we study the differential equations of lumped - parameter models of spacecraft thermal control . \n f"}
{"subject": "math:arxiv_118181", "predicate": "proves", "object": "we formulate a quantitative theory of an electromotive force of spin origin , i.e. , spin - motive f"}
{"subject": "math:arxiv_118182", "predicate": "proves", "object": "chromogeometry brings together euclidean geometry ( called _ blue _ ) and two relativistic geometrie"}
{"subject": "math:arxiv_118188", "predicate": "proves", "object": "we propose a new reformulation of yang - mills theory in which three- and four - gluon self - intera"}
{"subject": "math:arxiv_118192", "predicate": "proves", "object": "in this paper we present a model based on dynamics of the electrons in the plasma using a simplified"}
{"subject": "math:arxiv_118193", "predicate": "proves", "object": "the existence and nature of a new mode of electronic collective excitations ( quadrupole plasmons ) "}
{"subject": "math:arxiv_118199", "predicate": "proves", "object": "english it is well known that the angles in a lattice acting on hyperbolic @xmath0-space become equi"}
{"subject": "math:arxiv_118214", "predicate": "proves", "object": "using the algebraic dynamical method , the dynamics of entanglement in an atom - field bipartite sys"}
{"subject": "math:arxiv_118215", "predicate": "proves", "object": "we study lissajous curves in the 3-cube , that generate algebraic cubature formulas on a special fam"}
{"subject": "math:arxiv_118235", "predicate": "proves", "object": "we investigate the algebra of repeated integrals of semimartingales . we prove that a _ minimal fami"}
{"subject": "math:arxiv_118240", "predicate": "proves", "object": "the effect of strong quantizing magnetic field on the equation of state of matter at the outer crust"}
{"subject": "math:arxiv_118245", "predicate": "proves", "object": "we present some numerical findings concerning the nature of the blowup vs.  global existence dichoto"}
{"subject": "math:arxiv_118263", "predicate": "proves", "object": "we apply a parameterization - independent approach to fitting the dark energy equation - of - state "}
{"subject": "math:arxiv_118264", "predicate": "proves", "object": "there are many topological faces of the superfluid phases of @xmath0he . \n these superfluids contain"}
{"subject": "math:arxiv_118277", "predicate": "proves", "object": "we present a boltzmann equation analysis of the transport properties of a model of electrons with a "}
{"subject": "math:arxiv_118285", "predicate": "proves", "object": "minimal energy shapes of closed , elastic shells with twelve pentagonal disclinations introduced in "}
{"subject": "math:arxiv_118306", "predicate": "proves", "object": "in this paper we provide a unified framework for quasi - species evolution and stochastic quantizati"}
{"subject": "math:arxiv_118316", "predicate": "proves", "object": "let @xmath0 be a closed oriented 3-manifold with a contact form such that all reeb orbits are nondeg"}
{"subject": "math:arxiv_118331", "predicate": "proves", "object": "we prove asymptotic formulas for the number of rational points of bounded height on smooth equivaria"}
{"subject": "math:arxiv_118335", "predicate": "proves", "object": "it was shown earlier by rahaman et al . that a noncommutative - geometry background can account for "}
{"subject": "math:arxiv_118339", "predicate": "proves", "object": "we study gromov - witten invariants of a rational elliptic surface using holomorphic anomaly equatio"}
{"subject": "math:arxiv_118370", "predicate": "proves", "object": "let @xmath0 be a simply connected , connected completely solvable lie group with lie algebra @xmath1"}
{"subject": "math:arxiv_118372", "predicate": "proves", "object": "goal of this paper is to investigate several numerical schemes for the resolution of two anisotropic"}
{"subject": "math:arxiv_118390", "predicate": "proves", "object": "using the generalized coherent states we argue that the path integral formulae for @xmath0 and @xmat"}
{"subject": "math:arxiv_118400", "predicate": "proves", "object": "new forms of empirical formulae that provide an approximate description of the decay of shock pressu"}
{"subject": "math:arxiv_118408", "predicate": "proves", "object": "we study the stability of 5d gravitational solutions containing an arbitrary number of scalar fields"}
{"subject": "math:arxiv_118421", "predicate": "proves", "object": "answering a question asked by agol and wise , we show that a desired stronger form of wise s malnorm"}
{"subject": "math:arxiv_118422", "predicate": "proves", "object": "we consider the late - time asymptotic behavior for solutions of einstein s equations with the wave "}
{"subject": "math:arxiv_118425", "predicate": "proves", "object": "the parker or field line tangling model of coronal heating is investigated through long - time high "}
{"subject": "math:arxiv_118429", "predicate": "proves", "object": "we identify the kinks of a deformed @xmath0 linear sigma model as the solutions of a set of first - "}
{"subject": "math:arxiv_118441", "predicate": "proves", "object": "we present preliminary results for the second moment of the pion s distribution amplitude . the latt"}
{"subject": "math:arxiv_118447", "predicate": "proves", "object": "we use rice formulae in order to compute the moments of some level functionals which are linked to p"}
{"subject": "math:arxiv_118494", "predicate": "proves", "object": "in two - view geometry , the essential matrix describes the relative position and orientation of two"}
{"subject": "math:arxiv_118496", "predicate": "proves", "object": "we derive rigorously explicit formulas of the casimir free energy at finite temperature for massless"}
{"subject": "math:arxiv_118512", "predicate": "proves", "object": "this paper discusses the variation of sendograph distances under some algebra operations \n .    [ se"}
{"subject": "math:arxiv_118520", "predicate": "proves", "object": "we present an argument based on the multidimensional and the uniform central limit theorems , provin"}
{"subject": "math:arxiv_118539", "predicate": "proves", "object": "we propose a model based on the primitive system of the navier - stokes equations in a bidimensional"}
{"subject": "math:arxiv_118549", "predicate": "proves", "object": "in this review , we will discuss how the chiral symmetry and @xmath0 breaking effects are reflected "}
{"subject": "math:arxiv_118556", "predicate": "proves", "object": "we exhibit a distinctly low - dimensional dynamical obstruction to the existence of liouville cobord"}
{"subject": "math:arxiv_118577", "predicate": "proves", "object": "in this article , we prove the conjecture of bar - natan , garoufalidis , and khovanov s on the supp"}
{"subject": "math:arxiv_118578", "predicate": "proves", "object": "lscher established a non - perturbative formula to extract the elastic scattering phases from two - "}
{"subject": "math:arxiv_118583", "predicate": "proves", "object": "it has recently been shown that the auxiliary field method is an interesting tool to compute approxi"}
{"subject": "math:arxiv_118590", "predicate": "proves", "object": "the governing equation for elastic waves in flexural plates is not form invariant , and hence design"}
{"subject": "math:arxiv_118616", "predicate": "proves", "object": "we consider fluctuations of the energy on a mesoscopic island coupled to two leads . \n we use the ke"}
{"subject": "math:arxiv_118622", "predicate": "proves", "object": "in this paper we present the study of the topology of the equipotential hypersurfaces of configurati"}
{"subject": "math:arxiv_118631", "predicate": "proves", "object": "we investigate the behavior of large amplitude oscillations of a trapped bose - condensed gas of alk"}
{"subject": "math:arxiv_118635", "predicate": "proves", "object": "the main purpose of this paper is to produce a geometric realization for tempered modules of the aff"}
{"subject": "math:arxiv_118641", "predicate": "proves", "object": "although accretion disks are a theoretically appealing model for the geometry and dynamics of the ga"}
{"subject": "math:arxiv_118656", "predicate": "proves", "object": "for any positive integer @xmath0a new family of periodic functions in power series form and of perio"}
{"subject": "math:arxiv_118657", "predicate": "proves", "object": "the dynamics of two qubits ultra - strongly coupled with a quantum oscillator is investigated by the"}
{"subject": "math:arxiv_118683", "predicate": "proves", "object": "we construct a linear sigma model for open - strings ending on special lagrangian cycles of a calabi"}
{"subject": "math:arxiv_118684", "predicate": "proves", "object": "we construct a representation of the zero central charge virasoro algebra using string fields in wit"}
{"subject": "math:arxiv_118688", "predicate": "proves", "object": "this paper is the second in a series devoted to the study of periodic super - spin chains . in our f"}
{"subject": "math:arxiv_118690", "predicate": "proves", "object": "we continue the investigation of bernstein \n von mises theorems for nonparametric bayes procedures f"}
{"subject": "math:arxiv_118763", "predicate": "proves", "object": "motivated by uv completion of general relativity with a modification of a geometry at high energy sc"}
{"subject": "math:arxiv_118777", "predicate": "proves", "object": "this paper establishes the existence of a _ gap _ for the stable length spectrum on a hyperbolic man"}
{"subject": "math:arxiv_118800", "predicate": "proves", "object": "we solve the dirac equation , which describes charge massless chiral relativistic carriers in a two "}
{"subject": "math:arxiv_118803", "predicate": "proves", "object": "in this article the propagation of pointlike event probabilities in space is considered . \n double -"}
{"subject": "math:arxiv_118812", "predicate": "proves", "object": "the onset and bifurcation points of the @xmath0-cycles of a polynomial map are located through a cha"}
{"subject": "math:arxiv_118818", "predicate": "proves", "object": "we study the asymptotic behaviour of the orbit - counting function and a dynamical mertens theorem f"}
{"subject": "math:arxiv_118819", "predicate": "proves", "object": "reconstruction of a high - dimensional network may benefit substantially from the inclusion of prior"}
{"subject": "math:arxiv_118828", "predicate": "proves", "object": "we look at a homogeneous incompressible fluid with a time and space  variable rheology of bingham ty"}
{"subject": "math:arxiv_118844", "predicate": "proves", "object": "the solution to the nonlinear output regulation problem requires one to solve a first order pde , kn"}
{"subject": "math:arxiv_118856", "predicate": "proves", "object": "the inviscid burgers equation with random and spatially smooth forcing is considered in the limit wh"}
{"subject": "math:arxiv_118870", "predicate": "proves", "object": "in this paper , we obtain cordes - nirenberg type estimates for nonlocal parabolic equations on the "}
{"subject": "math:arxiv_118871", "predicate": "proves", "object": "the dark energy models with variable equation of state parameter @xmath0 are investigated by using l"}
{"subject": "math:arxiv_118888", "predicate": "proves", "object": "in this paper we present the results of computation of cohomology for some lie ( super)algebras of h"}
{"subject": "math:arxiv_118890", "predicate": "proves", "object": "we derive and discuss the complete set of exact solutions to the one - dimensional bogoliubov - de g"}
{"subject": "math:arxiv_118938", "predicate": "proves", "object": "this paper contains a rigorous mathematical example of direct derivation of the system of euler hydr"}
{"subject": "math:arxiv_118958", "predicate": "proves", "object": "the operator expansion of free green function of helmholtz equation for arbitrary @xmath0- dimension"}
{"subject": "math:arxiv_118971", "predicate": "proves", "object": "in this work we extend previous work on the evolution of a primordial black hole ( pbh ) to address "}
{"subject": "math:arxiv_118987", "predicate": "proves", "object": "we provide a formula for the dubrovnik polynomial of a rational knot in terms of the entries of the "}
{"subject": "math:arxiv_118989", "predicate": "proves", "object": "we study analytically and numerically the three - dimensional @xmath0 lattice gauge theory at finite"}
{"subject": "math:arxiv_118990", "predicate": "proves", "object": "we include spontaneous symmetry breaking into the functional renormalization group equations for the"}
{"subject": "math:arxiv_118995", "predicate": "proves", "object": "around 1958 , hill described how to draw the complete graph @xmath0 with @xmath1 crossings , and con"}
{"subject": "math:arxiv_119002", "predicate": "proves", "object": "the electromagnetic hopfion ( em hopfion ) refers to a topologically nontrivial solution to the vacu"}
{"subject": "math:arxiv_119008", "predicate": "proves", "object": "in this paper we consider a class of continuity equations that are conditioned to stay in general sp"}
{"subject": "math:arxiv_119012", "predicate": "proves", "object": "we show that the emerging field of discrete differential geometry can be usefully brought to bear on"}
{"subject": "math:arxiv_119030", "predicate": "proves", "object": "we formulate the theory for a diatomic molecule in a spatially degenerate electronic state interacti"}
{"subject": "math:arxiv_119049", "predicate": "proves", "object": "pr and wood conjectured that for all @xmath0 there exists @xmath1 with the following property : when"}
{"subject": "math:arxiv_119051", "predicate": "proves", "object": "it is shown that if @xmath0 is a circulant hadamard @xmath1 then @xmath2 . \n this proves the hadamar"}
{"subject": "math:arxiv_119075", "predicate": "proves", "object": "random phase approximation ( rpa ) provides a very convenient tool to study the ensembles of weakly "}
{"subject": "math:arxiv_119103", "predicate": "proves", "object": "recently , it was shown in  @xcite that the critical probability for random voronoi percolation in t"}
{"subject": "math:arxiv_119104", "predicate": "proves", "object": "in these lectures we give a concise introduction to the ideas of renormalon calculus in qed and qcd "}
{"subject": "math:arxiv_119114", "predicate": "proves", "object": "two - dimensional turbulence governed by the so - called @xmath0 turbulence equations , which includ"}
{"subject": "math:arxiv_119139", "predicate": "proves", "object": "we present a method for formulating gauge theories of chiral fermions in lattice field theory . \n th"}
{"subject": "math:arxiv_119144", "predicate": "proves", "object": "we revisit the theme of non - nearest - neighbor interactions in nonlinear dynamical lattices , in t"}
{"subject": "math:arxiv_119182", "predicate": "proves", "object": "we discuss the statistical properties of a recently introduced unbiased stochastic approximation to "}
{"subject": "math:arxiv_119188", "predicate": "proves", "object": "we study bound states of the two - dimensional helmholtz equations with dirichlet boundary condition"}
{"subject": "math:arxiv_119209", "predicate": "proves", "object": "the van der waals ( vdw ) equation of state describes a thermal equilibrium in system of particles ,"}
{"subject": "math:arxiv_119246", "predicate": "proves", "object": "we extend our previous formalism , in order to analyze the dynamics of a general shell of matter wit"}
{"subject": "math:arxiv_119248", "predicate": "proves", "object": "we calculate the nonlinear cotunneling conductance through interacting quantum dot systems in the de"}
{"subject": "math:arxiv_119257", "predicate": "proves", "object": "solutions of the schrdinger equation by spanning the wave function is a complete basis is a common p"}
{"subject": "math:arxiv_119274", "predicate": "proves", "object": "in this note , we show that the normalized hochschild co  chains of an associative algebra with a no"}
{"subject": "math:arxiv_119279", "predicate": "proves", "object": "we describe high order accurate and stable fully - discrete finite difference schemes for the initia"}
{"subject": "math:arxiv_119284", "predicate": "proves", "object": "in quantum theory particles are represented as wave packets . \n shock wave analysis of quantum equat"}
{"subject": "math:arxiv_119286", "predicate": "proves", "object": "in this article , we study the maximal length of positive dehn twist factorizations of surface mappi"}
{"subject": "math:arxiv_119297", "predicate": "proves", "object": "the ( asymptotic ) behaviour of the second moment of solutions to stochastic differential equations "}
{"subject": "math:arxiv_119299", "predicate": "proves", "object": "a phenomenological quasiparticle model , featuring dynamically generated self - energies of excitati"}
{"subject": "math:arxiv_119303", "predicate": "proves", "object": "a langevin equation whose deterministic part undergoes a saddle - node bifurcation is investigated t"}
{"subject": "math:arxiv_119309", "predicate": "proves", "object": "we prove a formula that expresses the viterbo  maslov index of a smooth strip in an oriented @xmath0"}
{"subject": "math:arxiv_119329", "predicate": "proves", "object": "general relativity promotes space - time to a physical , dynamical object subject to equations of mo"}
{"subject": "math:arxiv_119334", "predicate": "proves", "object": "the dynamical effects of the tensor modes of the geometry are investigated in the context of curvatu"}
{"subject": "math:arxiv_119361", "predicate": "proves", "object": "we derive several results in classical euclidean elementary geometry using the steering ellipsoid fo"}
{"subject": "math:arxiv_119374", "predicate": "proves", "object": "the paper studies admissibility of multiple - conclusion rules in the positive logics . using modifi"}
{"subject": "math:arxiv_119380", "predicate": "proves", "object": "we analyze the vortex dynamics and vortex  vortex interactions in bose - einstein condensates confin"}
{"subject": "math:arxiv_119405", "predicate": "proves", "object": "quantum graphity is a background independent model for emergent geometry , in which space is represe"}
{"subject": "math:arxiv_119413", "predicate": "proves", "object": "we show that for any nontrivial knot in @xmath0 , there is an open interval containing zero such tha"}
{"subject": "math:arxiv_119433", "predicate": "proves", "object": "@xmath0-dark - dark solitons in the generally coupled integrable nls equations are derived by the kp"}
{"subject": "math:arxiv_119472", "predicate": "proves", "object": "we obtain a new decomposition of the riemann  liouville operators of fractional integration as a ser"}
{"subject": "math:arxiv_119479", "predicate": "proves", "object": "almost nothing is known about the layer structure of solutions to strongly coupled systems of convec"}
{"subject": "math:arxiv_119488", "predicate": "proves", "object": "in the present paper we generate a set of solutions describing the interior of a compact star under "}
{"subject": "math:arxiv_119491", "predicate": "proves", "object": "we study the evolution of nonlinear ion acoustic wave excitations due to a moving charged source in "}
{"subject": "math:arxiv_119530", "predicate": "proves", "object": "a model of a phase - separating two - component langmuir monolayer in the presence of a photo - indu"}
{"subject": "math:arxiv_119535", "predicate": "proves", "object": "we derive the equation of state of nuclear matter including vacuum polarization effects arising from"}
{"subject": "math:arxiv_119544", "predicate": "proves", "object": "the method of perturbative expansion of master equation is employed to study the dissipative propert"}
{"subject": "math:arxiv_119562", "predicate": "proves", "object": "we re - examine the dynamical stability of the nakedly singular , static , spherically symmetric sol"}
{"subject": "math:arxiv_119572", "predicate": "proves", "object": "a novel approach towards the hadronic contributions to the anomalous magnetic moment of the muon @xm"}
{"subject": "math:arxiv_119580", "predicate": "proves", "object": "we rewrite the standard 4-dimensional dirac equation in terms of quaternionic spinors , leading to a"}
{"subject": "math:arxiv_119584", "predicate": "proves", "object": "we present a diagrammatic formulation of a theory for the time dependence of density fluctuations in"}
{"subject": "math:arxiv_119599", "predicate": "proves", "object": "recently , a new class of semi - lagrangian methods for the bgk model of the boltzmann equation has "}
{"subject": "math:arxiv_119620", "predicate": "proves", "object": "the equations of hydrodynamics are rewritten in sense of functionals with values in non - archimedea"}
{"subject": "math:arxiv_119632", "predicate": "proves", "object": "single crystals of thallium - based cuprates with the general formula tl@xmath0ba@xmath0ca@xmath1cu@"}
{"subject": "math:arxiv_119637", "predicate": "proves", "object": "we study a least square - type estimator for an unknown parameter in the drift coefficient of a stoc"}
{"subject": "math:arxiv_119652", "predicate": "proves", "object": "we show that the resulting manifold by @xmath0-surgery on a large class of two - bridge knots has le"}
{"subject": "math:arxiv_119687", "predicate": "proves", "object": "we compute dimensions and characters of the components of the operad of two compatible associative p"}
{"subject": "math:arxiv_119689", "predicate": "proves", "object": "x - ray polarisation measurement is a unique tool which may provide crucial information regarding th"}
{"subject": "math:arxiv_119697", "predicate": "proves", "object": "by using jet calculus as a consistent framework to describe multiparton dynamics we explain the pecu"}
{"subject": "math:arxiv_119702", "predicate": "proves", "object": "work in the paradigm of quantum fluctuation theorems of crooks and jarzynski , is determined by proj"}
{"subject": "math:arxiv_119711", "predicate": "proves", "object": "a module for the zeus-2d code is described which may be used to solve the equations of radiation hyd"}
{"subject": "math:arxiv_119712", "predicate": "proves", "object": "the optical theorem is an important tool for scattering analysis in acoustics , electromagnetism , a"}
{"subject": "math:arxiv_119723", "predicate": "proves", "object": "we derive a ( 1 + 1)-dimensional nonlinear evolution equation ( nle ) which may model the propagatio"}
{"subject": "math:arxiv_119730", "predicate": "proves", "object": "we construct a maximal counterpart to the minimal quantum group - twisted tensor product of @xmath0-"}
{"subject": "math:arxiv_119745", "predicate": "proves", "object": "we study dipole oscillations in a general fermionic mixture : starting from the boltzmann equation ,"}
{"subject": "math:arxiv_119778", "predicate": "proves", "object": "soit @xmath0 une surface do nt lanneau de cox a une seule relation , laquelle vrifie en outre une ce"}
{"subject": "math:arxiv_119780", "predicate": "proves", "object": "we prove an integral version of the schur  weyl duality between the specialized birman  murakami \n w"}
{"subject": "math:arxiv_119791", "predicate": "proves", "object": "pseudospin symmetry in nuclei is investigated by solving the dirac equation with woods - saxon scala"}
{"subject": "math:arxiv_119808", "predicate": "proves", "object": "this paper addresses the floating body problem which consists in studying the interaction of surface"}
{"subject": "math:arxiv_119819", "predicate": "proves", "object": "we use the methods of topological hochschild homology to shed new light on groups satisfying the bas"}
{"subject": "math:arxiv_119824", "predicate": "proves", "object": "recently , the first - named author gave a classification of 3d consistent 6-tuples of quad - equati"}
{"subject": "math:arxiv_119864", "predicate": "proves", "object": "electrochemical scanning tunneling microscopy ( ecstm ) is gaining popularity as a tool to implement"}
{"subject": "math:arxiv_119872", "predicate": "proves", "object": "in this paper we establish the stability of jensen s functional equation on some classes of groups ."}
{"subject": "math:arxiv_119895", "predicate": "proves", "object": "we show that the classical equations of gravity follow from a thermodynamic relation , @xmath0 , whe"}
{"subject": "math:arxiv_119901", "predicate": "proves", "object": "a data structure and toolkit are presented here that allow for the description and manipulation of m"}
{"subject": "math:arxiv_119908", "predicate": "proves", "object": "we employ an old field theory model , formulated and discussed by born , infeld , hoffman and rosen "}
{"subject": "math:arxiv_119926", "predicate": "proves", "object": "by a theorem of volkov @xcite we know that on most graphs with positive probability the linearly ver"}
{"subject": "math:arxiv_119943", "predicate": "proves", "object": "the dilute @xmath0 model is a solvable irf ( interaction round a face ) model with three local state"}
{"subject": "math:arxiv_119948", "predicate": "proves", "object": "we consider the scaling behavior of directed percolation and of the pair contact process with a conj"}
{"subject": "math:arxiv_119955", "predicate": "proves", "object": "we study the long wavelength electromagnetic resonances of interacting cylinder arrays . by using a "}
{"subject": "math:arxiv_119958", "predicate": "proves", "object": "ordinary differential equations obtained as limits of markov processes appear in many settings . \n t"}
{"subject": "math:arxiv_119972", "predicate": "proves", "object": "this paper explains how a popular , commercially - available software package for solving partial - "}
{"subject": "math:arxiv_119978", "predicate": "proves", "object": "in this paper we are concerned with the initial boundary value problems of linear and semi - linear "}
{"subject": "math:arxiv_120000", "predicate": "proves", "object": "based on the vlasov - maxwell equations describing the self - consistent nonlinear beam dynamics and"}
{"subject": "math:arxiv_120008", "predicate": "proves", "object": "of all the possible ways to describe the behavior of the universe that has undergone a big trip the "}
{"subject": "math:arxiv_120029", "predicate": "proves", "object": "we study circular nanomechanical graphene resonators by means of continuum elasticity theory , treat"}
{"subject": "math:arxiv_120050", "predicate": "proves", "object": "in many situations , one can approximate the behavior of a quantum system , i.e.  a wave function su"}
{"subject": "math:arxiv_120054", "predicate": "proves", "object": "we derive exact expressions for the casimir scalar interaction energy between media - separated ecce"}
{"subject": "math:arxiv_120058", "predicate": "proves", "object": "direct nuclear reactions @xmath0 and @xmath1 are described in the framework of three - body faddeev "}
{"subject": "math:arxiv_120061", "predicate": "proves", "object": "anomalous quark triangles with one axial and two vector currents are studied in special kinematics w"}
{"subject": "math:arxiv_120066", "predicate": "proves", "object": "it is a well known fact that families of minimal rational curves on rational homogeneous manifolds o"}
{"subject": "math:arxiv_120067", "predicate": "proves", "object": "in this paper we introduce the hyperbolic mean curvature flow and prove that the corresponding syste"}
{"subject": "math:arxiv_120089", "predicate": "proves", "object": "given a closed @xmath0manifold @xmath1 , we show that the heegaard floer homology determines whether"}
{"subject": "math:arxiv_120106", "predicate": "proves", "object": "we consider the non - trivial ricci soliton on @xmath0 constructed by koiso and cao . \n it is a khle"}
{"subject": "math:arxiv_120133", "predicate": "proves", "object": "in this work a periodic crystal with point defects is described in the framework of linear response "}
{"subject": "math:arxiv_120141", "predicate": "proves", "object": "monotone systems of polynomial equations ( mspes ) are systems of fixed - point equations @xmath0 @x"}
{"subject": "math:arxiv_120144", "predicate": "proves", "object": "we introduce a numerical method for general coupled korteweg - de vries systems . \n the scheme is va"}
{"subject": "math:arxiv_120148", "predicate": "proves", "object": "the factorization theorem in decays of @xmath0 mesons to two charmed mesons ( both pseudoscalar and "}
{"subject": "math:arxiv_120149", "predicate": "proves", "object": "einstein s equation , in its standard form , breaks down at the big bang singularity . a new version"}
{"subject": "math:arxiv_120153", "predicate": "proves", "object": "we study the bethe ansatz / ordinary differential equation ( ba / ode ) correspondence for bethe ans"}
{"subject": "math:arxiv_120176", "predicate": "proves", "object": "we present results of molecular dynamics simulations of water confined in a silica pore . \n a cylind"}
{"subject": "math:arxiv_120178", "predicate": "proves", "object": "the method of searching for signals of heavy virtual particles is developed . \n it is based on a ren"}
{"subject": "math:arxiv_120188", "predicate": "proves", "object": "we obtained the magnetic field configurations , including both poloidal and toroidal components , th"}
{"subject": "math:arxiv_120192", "predicate": "proves", "object": "a new numerical method is developed for solution of the gelfand  levitan  marchenko inverse scatteri"}
{"subject": "math:arxiv_120215", "predicate": "proves", "object": "the hartle - hawking state is a proposal for a preferred initial state for quantum gravity , based o"}
{"subject": "math:arxiv_120221", "predicate": "proves", "object": "in this paper we derive some first order differential equations which model the classical and the re"}
{"subject": "math:arxiv_120226", "predicate": "proves", "object": "in this paper , a moving mesh discontinuous galerkin ( dg ) method is developed for nonlinear partia"}
{"subject": "math:arxiv_120245", "predicate": "proves", "object": "a large class of quintessential inflationary models , recently proposed by peebles and vilenkin , le"}
{"subject": "math:arxiv_120256", "predicate": "proves", "object": "i prove the security of quantum key distribution against individual attacks for realistic signals so"}
{"subject": "math:arxiv_120261", "predicate": "proves", "object": "the algebraic method of renormalization is applied to the standard model of electroweak interactions"}
{"subject": "math:arxiv_120263", "predicate": "proves", "object": "in 1998 , shibata and sasaki [ phys .  rev . \n d  * 58 * ,  104011 ( 1998 ) ] presented an approxima"}
{"subject": "math:arxiv_120270", "predicate": "proves", "object": "thermodynamic formulas for investigating systems with density and/or temperature dependent particle "}
{"subject": "math:arxiv_120273", "predicate": "proves", "object": "by formally invoking the wiener - hopf method , we explicitly solve a one - dimensional , singular i"}
{"subject": "math:arxiv_120276", "predicate": "proves", "object": "we prove that a conjecture of chai on the additivity of the base change conductor for semi - abelian"}
{"subject": "math:arxiv_120278", "predicate": "proves", "object": "we address the question whether the cut - off dependence , which has to be introduced in order to pr"}
{"subject": "math:arxiv_120281", "predicate": "proves", "object": "constraint logic programming ( _ clp _ ) and hereditary harrop formulas ( _ hh_)are two well known w"}
{"subject": "math:arxiv_120289", "predicate": "proves", "object": "we first point out it is conditional to apply the variational approach to the nonlocal nonlinear sch"}
{"subject": "math:arxiv_120301", "predicate": "proves", "object": "we construct consistent noncommutative ( nc ) deformations of the randall - sundrum spacetime that s"}
{"subject": "math:arxiv_120304", "predicate": "proves", "object": "we find discrete holomorphic parafermions of the ashkin - teller model on the critical line , by map"}
{"subject": "math:arxiv_120323", "predicate": "proves", "object": "the functional renormalization group equation is expanded to a two - loop form . \n this two - loop f"}
{"subject": "math:arxiv_120328", "predicate": "proves", "object": "we use the gauge - gravity duality conjecture to compute spectral functions of the stress - energy t"}
{"subject": "math:arxiv_120330", "predicate": "proves", "object": "we introduce a direct method allowing to solve numerically inverse type problems for linear hyperbol"}
{"subject": "math:arxiv_120350", "predicate": "proves", "object": "multi - domain solutions to the time - dependent ginzburg - landau equation in presence of an extern"}
{"subject": "math:arxiv_120353", "predicate": "proves", "object": "let @xmath0 be an arbitrary finite group . \n the mckay conjecture asserts that @xmath0 and the norma"}
{"subject": "math:arxiv_120362", "predicate": "proves", "object": "a new probabilistic representation is presented for solutions of the incompressible navier - stokes "}
{"subject": "math:arxiv_120370", "predicate": "proves", "object": "in this work , we investigate a linear differential equation involving caputo - fabrizio fractional "}
{"subject": "math:arxiv_120376", "predicate": "proves", "object": "a phenomenological momentum - independent ( mid ) model is constructed to describe the equation of s"}
{"subject": "math:arxiv_120378", "predicate": "proves", "object": "the article is devoted to the simulation of viscous incompressible turbulent fluid flow based on sol"}
{"subject": "math:arxiv_120393", "predicate": "proves", "object": "we impose constraints on the topology of the universe determined from a search for matched circles i"}
{"subject": "math:arxiv_120400", "predicate": "proves", "object": "we study transport through a quantum dot side - coupled to two parallel luttinger liquid leads in th"}
{"subject": "math:arxiv_120423", "predicate": "proves", "object": "the propagation of neutrinos in long baselines experiments may be influenced by dissipation effects "}
{"subject": "math:arxiv_120446", "predicate": "proves", "object": "we model electronic transport through a double quantum wire in an external homogeneous perpendicular"}
{"subject": "math:arxiv_120467", "predicate": "proves", "object": "we formulate an approximate relativistic framework for an analysis of the @xmath0 and @xmath1 reacti"}
{"subject": "math:arxiv_120473", "predicate": "proves", "object": "the distribution of net electric charge in graphene is investigated , using both a constitutive atom"}
{"subject": "math:arxiv_120477", "predicate": "proves", "object": "tight framelets on a smooth and compact riemannian manifold @xmath0 provide a tool of multiresolutio"}
{"subject": "math:arxiv_120487", "predicate": "proves", "object": "we construct a self - consistent model for the wind around w hya by solving the coupled equations de"}
{"subject": "math:arxiv_120530", "predicate": "proves", "object": "infinite - dimensional galilean conformal algebras can be constructed by contracting pairs of symmet"}
{"subject": "math:arxiv_120539", "predicate": "proves", "object": "using the numerical solution of the nonlinear schrdinger equation and a variational method it is sho"}
{"subject": "math:arxiv_120550", "predicate": "proves", "object": "we consider a coupled nonlinear schrdinger equations describing an atomic bose - einstein condensate"}
{"subject": "math:arxiv_120562", "predicate": "proves", "object": "the phase structure of an eight - fermion interaction model is investigated in a compact space - tim"}
{"subject": "math:arxiv_120567", "predicate": "proves", "object": "a multi - relational graph maintains two or more relations over a vertex set . \n this article define"}
{"subject": "math:arxiv_120572", "predicate": "proves", "object": "the y - chromosome degeneration is still an intriguing mechanism and comprises the very origin of se"}
{"subject": "math:arxiv_120594", "predicate": "proves", "object": "wyner s soft - covering lemma is a valuable tool for achievability proofs of information theoretic s"}
{"subject": "math:arxiv_120602", "predicate": "proves", "object": "motivated by the connection between gauge field topology and the axial anomaly in fermion currents ,"}
{"subject": "math:arxiv_120608", "predicate": "proves", "object": "in this paper we study an aggregation equation with a general nonlocal flux . \n we study the local w"}
{"subject": "math:arxiv_120612", "predicate": "proves", "object": "in this study , we introduce a relativistic quantum mechanical wave equation of the spin-1 particle "}
{"subject": "math:arxiv_120644", "predicate": "proves", "object": "we investigate the interacting holographic dark energy ( hde ) with granda - oliveros ( go ) ir - cu"}
{"subject": "math:arxiv_120658", "predicate": "proves", "object": "we study crossed products of arbitrary operator algebras by locally compact groups of completely iso"}
{"subject": "math:arxiv_120664", "predicate": "proves", "object": "landau s well known asymptotic formula @xmath0 which also holds for @xmath1 is known to be fairly po"}
{"subject": "math:arxiv_120669", "predicate": "proves", "object": "we consider a finite dimensional damped second order system and obtain spectral inclusion theorems f"}
{"subject": "math:arxiv_120684", "predicate": "proves", "object": "in this paper we study the topology of the cobordism category @xmath0 of open and closed strings . t"}
{"subject": "math:arxiv_120694", "predicate": "proves", "object": "integrability , integrating factor , linearization , equivalence problem a method of finding general"}
{"subject": "math:arxiv_120704", "predicate": "proves", "object": "a theorem due to bob geroch and pong soo jang [ `` motion of a body in general relativity . '' _ jou"}
{"subject": "math:arxiv_120708", "predicate": "proves", "object": "to accommodate the observed accelerated expansion of the universe , one popular idea is to invoke a "}
{"subject": "math:arxiv_120714", "predicate": "proves", "object": "practically applicable criteria for the nonclassicality of quantum states are formulated in terms of"}
{"subject": "math:arxiv_120724", "predicate": "proves", "object": "the physical origin of the backbendings in the equations of state of finite but not necessarily smal"}
{"subject": "math:arxiv_120741", "predicate": "proves", "object": "it is proved that the associative differential graded algebra of ( polynomial ) polyvector fields on"}
{"subject": "math:arxiv_120742", "predicate": "proves", "object": "the discretizable molecular distance geometry problem ( dmdgp ) consists in a subclass of the molecu"}
{"subject": "math:arxiv_120753", "predicate": "proves", "object": "the development of the parallel root facility , proof , enables a physicist to analyze and understan"}
{"subject": "math:arxiv_120792", "predicate": "proves", "object": "despite several attempts , no efficient cluster algorithm has been constructed for @xmath0 models in"}
{"subject": "math:arxiv_120795", "predicate": "proves", "object": "we show for the ising model that is possible construct a discrete time stochastic model analogous to"}
{"subject": "math:arxiv_120799", "predicate": "proves", "object": "ishimori equation is a @xmath0 dimensional generalization of the @xmath1 dimensional integrable clas"}
{"subject": "math:arxiv_120810", "predicate": "proves", "object": "we study an early dark energy ( ede ) model as a k - essence scalar field in the framework of flrw u"}
{"subject": "math:arxiv_120812", "predicate": "proves", "object": "we study an integrable modification of the focusing nonlinear schrdinger equation from the point of "}
{"subject": "math:arxiv_120818", "predicate": "proves", "object": "matrix generalization of the inverse scattering method is developed to solve the multicomponent nonl"}
{"subject": "math:arxiv_120866", "predicate": "proves", "object": "a global analysis is presented of solutions for laplace s equation on three - dimensional euclidean "}
{"subject": "math:arxiv_120883", "predicate": "proves", "object": "a propagator for the one dimensional time - dependent schrdinger equation with an asymmetric rectang"}
{"subject": "math:arxiv_120895", "predicate": "proves", "object": "this is the second in a series of papers on the numerical treatment of hyperelliptic theta - functio"}
{"subject": "math:arxiv_120896", "predicate": "proves", "object": "we describe a multidomain spectral - tau method for solving the three - dimensional helically reduce"}
{"subject": "math:arxiv_120910", "predicate": "proves", "object": "previous measurements of a quadrupole component of azimuth correlations denoted by symbol @xmath0 ha"}
{"subject": "math:arxiv_120933", "predicate": "proves", "object": "we exactly reformulate the lattice cp(@xmath0 ) spin model on a @xmath1 dimensional torus as a loop "}
{"subject": "math:arxiv_120940", "predicate": "proves", "object": "we propose a positivity preserving entropy decreasing finite volume scheme for nonlinear nonlocal eq"}
{"subject": "math:arxiv_120954", "predicate": "proves", "object": "a relativistic coulomb - like resummation factor in qcd is suggested , based on the solution of the "}
{"subject": "math:arxiv_120955", "predicate": "proves", "object": "intersection angles of stable and unstable manifolds for area preserving mappings are numerically ca"}
{"subject": "math:arxiv_120963", "predicate": "proves", "object": "i discuss constraints on the equation of state of matter at supra - nuclear densities that can be de"}
{"subject": "math:arxiv_120987", "predicate": "proves", "object": "we study the thermally assisted relaxation of a directed elastic line in a two dimensional quenched "}
{"subject": "math:arxiv_120989", "predicate": "proves", "object": "we give a new proof of a celebrated theorem of dennis johnson that asserts that the kernel of the jo"}
{"subject": "math:arxiv_120991", "predicate": "proves", "object": "the representation ring of an affine algebraic group scheme can be endowed with the structure of a ("}
{"subject": "math:arxiv_121016", "predicate": "proves", "object": "we show that the crossing number of any link that is known to be quasi - alternating is less than or"}
{"subject": "math:arxiv_121041", "predicate": "proves", "object": "recently , we presented a generalisation of the jarzynski non - equilibrium work theorem for phase s"}
{"subject": "math:arxiv_121045", "predicate": "proves", "object": "cylindrical algebraic decomposition ( cad ) is an important tool , both for quantifier elimination o"}
{"subject": "math:arxiv_121051", "predicate": "proves", "object": "we give a characterization of subsets of effect algebras , that can be embedded into a range of an o"}
{"subject": "math:arxiv_121068", "predicate": "proves", "object": "this paper presents a decidable characterization of tree languages that can be defined by a boolean "}
{"subject": "math:arxiv_121077", "predicate": "proves", "object": "a classical theorem by hartshorne states that the dual graph of any arithmetically cohen  macaulay p"}
{"subject": "math:arxiv_121091", "predicate": "proves", "object": "_ _    we give an immersion formula , the _ sym - bobenko formula _ , for minimal surfaces in the @x"}
{"subject": "math:arxiv_121093", "predicate": "proves", "object": "we show that the spheres in hilbert geometry have the same volume growth entropy as those in the lob"}
{"subject": "math:arxiv_121119", "predicate": "proves", "object": "iterated function systems ( ifss ) have been at the heart of fractal geometry almost from its origin"}
{"subject": "math:arxiv_121134", "predicate": "proves", "object": "energetic particle transport in a finite amplitude magnetosonic and alfvnic turbulence is considered"}
{"subject": "math:arxiv_121156", "predicate": "proves", "object": "bell nonlocality can be formulated in terms of a resource theory with local - hidden variable models"}
{"subject": "math:arxiv_121168", "predicate": "proves", "object": "a model for ionization and recombination collisions in a multifluid plasma is formulated using the f"}
{"subject": "math:arxiv_121208", "predicate": "proves", "object": "in this paper we consider the growth , large fluctuations and memory properties of an affine stochas"}
{"subject": "math:arxiv_121211", "predicate": "proves", "object": "this contribution summarizes the recent work carried out to analyze the behavior of the hyperbolic s"}
{"subject": "math:arxiv_121223", "predicate": "proves", "object": "we present here a conjecture about the equivalence between the noise density of states of a system g"}
{"subject": "math:arxiv_121250", "predicate": "proves", "object": "we derive general equations for non - linearity corrections and statistical uncertainty ( variance )"}
{"subject": "math:arxiv_121252", "predicate": "proves", "object": "we study a 1d semilinear wave equation modeling the dynamic of an elastic string interacting with a "}
{"subject": "math:arxiv_121255", "predicate": "proves", "object": "we study the asymptotic dynamics of a driven spin - boson system where the environment is formed by "}
{"subject": "math:arxiv_121262", "predicate": "proves", "object": "we propose a quantum model consisting of two remote qubits interacting with two correlated colored n"}
{"subject": "math:arxiv_121293", "predicate": "proves", "object": "the effect of instability on the propagation of solitary waves along one - dimensional discrete nonl"}
{"subject": "math:arxiv_121297", "predicate": "proves", "object": "we derive the formulae for the time variation of the gravitational `` constant '' @xmath0 and of the"}
{"subject": "math:arxiv_121308", "predicate": "proves", "object": "in this paper we explore the strong rotation limit of the rotating and stratified boussinesq equatio"}
{"subject": "math:arxiv_121317", "predicate": "proves", "object": "in this paper , we propose a new class of parametrization of the equation of state of dark energy . "}
{"subject": "math:arxiv_121326", "predicate": "proves", "object": "in this paper , we explore the nature of scalar field potential in @xmath0 gravity using a well - mo"}
{"subject": "math:arxiv_121343", "predicate": "proves", "object": "we study the non - equilibrium relaxation of an elastic line described by the edwards - wilkinson eq"}
{"subject": "math:arxiv_121365", "predicate": "proves", "object": "goldman and turaev constructed a lie bialgebra structure on the free @xmath0-module generated by fre"}
{"subject": "math:arxiv_121366", "predicate": "proves", "object": "nonlinear integral equations are proposed for the description of the full finite size spectrum of th"}
{"subject": "math:arxiv_121368", "predicate": "proves", "object": "we present a practical method to solve faddeev three - body equations at energies above three - body"}
{"subject": "math:arxiv_121379", "predicate": "proves", "object": "we study the @xmath0-dimensional schrdinger equation with a singular potential @xmath1 . its solutio"}
{"subject": "math:arxiv_121403", "predicate": "proves", "object": "wavelets are a useful basis for constructing solutions of the integral and differential equations of"}
{"subject": "math:arxiv_121443", "predicate": "proves", "object": "protein - protein interaction networks associated with diseases have gained prominence as an area of"}
{"subject": "math:arxiv_121451", "predicate": "proves", "object": "this paper gives an exposition of the authors harmonic deformation theory for 3-dimensional hyperbol"}
{"subject": "math:arxiv_121457", "predicate": "proves", "object": "this paper considers the class of deterministic continuous - time optimal control problems ( ocps ) "}
{"subject": "math:arxiv_121459", "predicate": "proves", "object": "the spectra and wave functions of heavy - light mesons are calculated within a relativistic quark mo"}
{"subject": "math:arxiv_121462", "predicate": "proves", "object": "the dynamical behavior of a higher - order cubic ginzburg - landau equation is found to include a wi"}
{"subject": "math:arxiv_121466", "predicate": "proves", "object": "the dynamical friction problem is a long - standing dilemma about globular clusters ( hereafter , gc"}
{"subject": "math:arxiv_121470", "predicate": "proves", "object": "certain classes of 3-manifolds , following thurston , give rise to a ` skinning map ' , a self - map"}
{"subject": "math:arxiv_121501", "predicate": "proves", "object": "we prove the garden of eden theorem for cellular automata with finite set of states and finite neigh"}
{"subject": "math:arxiv_121527", "predicate": "proves", "object": "the three - wave resonant interaction equations are a non - dispersive system of partial differentia"}
{"subject": "math:arxiv_121529", "predicate": "proves", "object": "the minimal models @xmath0 with @xmath1 have a unique ( non - trivial ) simple current of conformal "}
{"subject": "math:arxiv_121540", "predicate": "proves", "object": "in this paper , we give thomae type formula for _ _ \n k__3 surfaces @xmath0 given by double covers o"}
{"subject": "math:arxiv_121544", "predicate": "proves", "object": "we construct , for @xmath0 a root of unity of odd order , an embedding of the projective special lin"}
{"subject": "math:arxiv_121545", "predicate": "proves", "object": "we derive quasiclassical expressions for the three - body decay width and define the `` preexponenti"}
{"subject": "math:arxiv_121594", "predicate": "proves", "object": "the memoir _ theorie der parallellinien _ ( 1766 ) by johann heinrich lambert is one of the founding"}
{"subject": "math:arxiv_121602", "predicate": "proves", "object": "in this paper we present a new algorithm based on a cartesian mesh for the numerical approximation o"}
{"subject": "math:arxiv_121604", "predicate": "proves", "object": "we discuss the homological algebra of representation theory of finite dimensional algebras and finit"}
{"subject": "math:arxiv_121611", "predicate": "proves", "object": "we note that the thomas fermi limit of gross pitaevskii equation and @xmath0 limit of quantum mechan"}
{"subject": "math:arxiv_121613", "predicate": "proves", "object": "we generalise gauge theory on a graph so that the gauge group becomes a finite - dimensional ribbon "}
{"subject": "math:arxiv_121621", "predicate": "proves", "object": "we investigate how a horizontal plane poiseuille shear flow changes linear convection properties in "}
{"subject": "math:arxiv_121622", "predicate": "proves", "object": "we study the discrete causal set geometry of a small causal diamond in a curved spacetime using the "}
{"subject": "math:arxiv_121626", "predicate": "proves", "object": "we consider the explicit numerical approximations of stochastic differential equations ( sdes ) driv"}
{"subject": "math:arxiv_121637", "predicate": "proves", "object": "we construct universal geometric coefficients , over @xmath0 , @xmath1 , and @xmath2 , for cluster a"}
{"subject": "math:arxiv_121644", "predicate": "proves", "object": "to describe of dynamics of ternary fission of @xmath0cf an equation of motion of the tri - nuclear s"}
{"subject": "math:arxiv_121657", "predicate": "proves", "object": "we reformulate the soft - collinear effective theory which includes the collinear quark and soft glu"}
{"subject": "math:arxiv_121661", "predicate": "proves", "object": "proof of the existence of a significant population of normal disk galaxies at redshift @xmath0 would"}
{"subject": "math:arxiv_121697", "predicate": "proves", "object": "the renormalised quark dyson - schwinger equation is studied in the limit of the renormalised curren"}
{"subject": "math:arxiv_121698", "predicate": "proves", "object": "farkas lemma is a fundamental result from _ linear programming _ providing _ linear _ certificates f"}
{"subject": "math:arxiv_121748", "predicate": "proves", "object": "@xmath0-diregular circulant digraph on @xmath1 vertices is a counterexample of jackson s conjecture "}
{"subject": "math:arxiv_121773", "predicate": "proves", "object": "in this letter we present the set of invariant difference equations and meshes which preserve the li"}
{"subject": "math:arxiv_121826", "predicate": "proves", "object": "we prove a novel lyapunov - based small - gain theorem for networks of @xmath0 hybrid systems which "}
{"subject": "math:arxiv_121831", "predicate": "proves", "object": "the last solar minimum is characterized by several peculiar aspects and by the presence of a complex"}
{"subject": "math:arxiv_121849", "predicate": "proves", "object": "it is shown that the celebrated menelaus relation and fay s trisecant formula similar to the wdvv eq"}
{"subject": "math:arxiv_121855", "predicate": "proves", "object": "a computer study of clusters of up to 200,000 equal - area bubbles shows for the first time that rou"}
{"subject": "math:arxiv_121866", "predicate": "proves", "object": "we show decay estimates for the propagator of the discrete schrdinger and klein - gordon equations i"}
{"subject": "math:arxiv_121867", "predicate": "proves", "object": "face is a self contained programme , with namelist input , that solves the three body faddeev equati"}
{"subject": "math:arxiv_121899", "predicate": "proves", "object": "we study augmented quasiclassical equations of superconductivity with the lorentz force , which is m"}
{"subject": "math:arxiv_121908", "predicate": "proves", "object": "we investigate the consistency requirements of the next - to leading bfkl equation with the renormal"}
{"subject": "math:arxiv_121916", "predicate": "proves", "object": "we prove the existence of regular foliations with a prescribed tangency divisor in neighborhoods of "}
{"subject": "math:arxiv_121928", "predicate": "proves", "object": "we present an exact three - dimensional solitonic solution to a sine - gordon - type euler - lagrang"}
{"subject": "math:arxiv_121958", "predicate": "proves", "object": "in earlier work , jockusch , propp , and shor proved a theorem describing the limiting shape of the "}
{"subject": "math:arxiv_121961", "predicate": "proves", "object": "linear and nonlinear ion - acoustic waves are studied in a fluid model for non - relativistic , unma"}
{"subject": "math:arxiv_121972", "predicate": "proves", "object": "the theoretical formulation of x - ray resonant magnetic scattering from rough surfaces and interfac"}
{"subject": "math:arxiv_121992", "predicate": "proves", "object": "an open quantum system , whose time evolution is governed by a master equation , can be driven into "}
{"subject": "math:arxiv_121998", "predicate": "proves", "object": "we illustrate a general technique for enumerating factors of @xmath0-automatic sequences by proving "}
{"subject": "math:arxiv_122023", "predicate": "proves", "object": "we propose a topology - preserved hard - core boson simulator of one - dimensional time - reversal -"}
{"subject": "math:arxiv_122027", "predicate": "proves", "object": "we give a conway - gordon type formula for invariants of knots and links in a spatial complete four "}
{"subject": "math:arxiv_122061", "predicate": "proves", "object": "in this article , we investigate the under - structures of the @xmath0 and b mesons in the framework"}
{"subject": "math:arxiv_122070", "predicate": "proves", "object": "we propose a fixed scale approach to calculate the equation of state ( eos ) in lattice qcd . in thi"}
{"subject": "math:arxiv_122072", "predicate": "proves", "object": "we introduce a scheme to include many - body screening processes explicitly into a set of self - con"}
{"subject": "math:arxiv_122092", "predicate": "proves", "object": "btev is a collider experiment at fermilab designed for precision studies of cp violation and mixing "}
{"subject": "math:arxiv_122098", "predicate": "proves", "object": "this article introduces a new fast direct solver for linear systems arising out of wide range of app"}
{"subject": "math:arxiv_122101", "predicate": "proves", "object": "using wave function matching approach and employing the landauer - buttiker formula a ferromagnetic "}
{"subject": "math:arxiv_122121", "predicate": "proves", "object": "the ben geloun - rivasseau quantum field theoretical model is the first tensor model shown to be per"}
{"subject": "math:arxiv_122130", "predicate": "proves", "object": "we consider gauge theories defined in higher dimensions where the extra dimensions form a fuzzy spac"}
{"subject": "math:arxiv_122144", "predicate": "proves", "object": "generalized friedmann equations governing the cosmological evolution inside a thick brane embedded i"}
{"subject": "math:arxiv_122149", "predicate": "proves", "object": "in this work , we employ algebraic renormalization technique to show the renormalizability to all or"}
{"subject": "math:arxiv_122163", "predicate": "proves", "object": "we prove finite generation of the cohomology ring of any finite dimensional pointed hopf algebra , h"}
{"subject": "math:arxiv_122177", "predicate": "proves", "object": "we develop algorithms to compute the differential galois group @xmath0 associated to a parameterized"}
{"subject": "math:arxiv_122179", "predicate": "proves", "object": "the present research work proposes a new fast fixed - point averaging algorithm on the compact stief"}
{"subject": "math:arxiv_122180", "predicate": "proves", "object": "this letter reports on 3-dimensional simulations of kerr black hole magnetospheres that obey the gen"}
{"subject": "math:arxiv_122191", "predicate": "proves", "object": "a nonstandard application of bivariate polynomial interpolation is discussed : the implicitization o"}
{"subject": "math:arxiv_122217", "predicate": "proves", "object": "we study the long - time behavior of the 3-dimensional repulsive nonlinear hartree equation with an "}
{"subject": "math:arxiv_122232", "predicate": "proves", "object": "let @xmath0 be integers with @xmath1 , and set @xmath2 and @xmath3 . because @xmath4 is quadratic in"}
{"subject": "math:arxiv_122250", "predicate": "proves", "object": "we prove bilinear inequalities for differential operators in  @xmath0 . \n such type inequalities tur"}
{"subject": "math:arxiv_122259", "predicate": "proves", "object": "the three gluon one particle irreducible function is investigated using lattice qcd simulations over"}
{"subject": "math:arxiv_122270", "predicate": "proves", "object": "particles bound to an interface interact because they deform its shape . \n the stresses that result "}
{"subject": "math:arxiv_122286", "predicate": "proves", "object": "algorithmic regularization uses a transformation of the equations of motion such that the leapfrog a"}
{"subject": "math:arxiv_122292", "predicate": "proves", "object": "using detailed balance and scaling properties of integrals that appear in the coulomb gas reformulat"}
{"subject": "math:arxiv_122296", "predicate": "proves", "object": "the fuzzy disc is a matrix approximation of the functions on a disc which preserves rotational symme"}
{"subject": "math:arxiv_122306", "predicate": "proves", "object": "we compute the _ exact _ equation of state of circular strings in the ( 2 + 1 ) dimensional de sitte"}
{"subject": "math:arxiv_122307", "predicate": "proves", "object": "we derive the dynamical mean - field theory equations for transport in an ordered charge - density -"}
{"subject": "math:arxiv_122319", "predicate": "proves", "object": "neutron stars are thought to be excellent laboratories for determining the equation of state ( eos )"}
{"subject": "math:arxiv_122329", "predicate": "proves", "object": "in this paper we consider the representation theory of a non - standard quantization of @xmath0 . \n "}
{"subject": "math:arxiv_122343", "predicate": "proves", "object": "we present a solution of the coupled einstein and rank - two antisymmetric tensor field equations wh"}
{"subject": "math:arxiv_122344", "predicate": "proves", "object": "we investigate relativistic spherically symmetric static perfect fluid models in the framework of th"}
{"subject": "math:arxiv_122361", "predicate": "proves", "object": "we show that bose - einstein condensates in a honeycomb optical lattice are described by a nonlinear"}
{"subject": "math:arxiv_122364", "predicate": "proves", "object": "coupled 1-loop gap equations are studied numerically for non - abelian electric and magnetic screeni"}
{"subject": "math:arxiv_122368", "predicate": "proves", "object": "based on optical , ir and x - ray studies of cas a , we propose a geometry for the remnant based on "}
{"subject": "math:arxiv_122377", "predicate": "proves", "object": "in this study , current pumping by an external potential is studied on the basis of the keldysh gree"}
{"subject": "math:arxiv_122381", "predicate": "proves", "object": "the concept of ` topological right transversal ' is introduced to study right transversals in topolo"}
{"subject": "math:arxiv_122386", "predicate": "proves", "object": "a. dzhumadildaev classified all irreducible finite dimensional representations of the simple @xmath0"}
{"subject": "math:arxiv_122404", "predicate": "proves", "object": "we performed angle - resolved photoelectron spectroscopy of the bi(111 ) surface to demonstrate that"}
{"subject": "math:arxiv_122405", "predicate": "proves", "object": "we prove that the holonomy group at infinity of the painlev vi equation is virtually commutative . \n"}
{"subject": "math:arxiv_122409", "predicate": "proves", "object": "adiabatic evolution is a powerful technique in quantum information and computation . however , its p"}
{"subject": "math:arxiv_122421", "predicate": "proves", "object": "several preconditioned aor methods have been proposed to solve system of linear equations @xmath0 , "}
{"subject": "math:arxiv_122432", "predicate": "proves", "object": "we present a new set of kinematic equations for front motion in bistable media . \n the equations ext"}
{"subject": "math:arxiv_122442", "predicate": "proves", "object": "the main aim of this paper is to explore the ideas of _ persistent homology _ and _ extended persist"}
{"subject": "math:arxiv_122443", "predicate": "proves", "object": "we provide a general construction of an integral tqft over a dedekind domain using the quantum doubl"}
{"subject": "math:arxiv_122449", "predicate": "proves", "object": "stimulated by the importance of noncommutative geometry in recent developments in string theory , d "}
{"subject": "math:arxiv_122451", "predicate": "proves", "object": "we propose a rate equation approach to compute two vertex correlations in scale - free growing netwo"}
{"subject": "math:arxiv_122469", "predicate": "proves", "object": "the problem of establishing the number of perfect matchings necessary to cover the edge - set of a c"}
{"subject": "math:arxiv_122492", "predicate": "proves", "object": "we present theoretical and numerical results for the one - dimensional stochastically forced burgers"}
{"subject": "math:arxiv_122503", "predicate": "proves", "object": "we survey recent developments in the study of probabilistic complexity classes . while the evidence "}
{"subject": "math:arxiv_122507", "predicate": "proves", "object": "in the present paper , we consider a cauchy problem for a linear second order in time abstract diffe"}
{"subject": "math:arxiv_122511", "predicate": "proves", "object": "we obtain the exact solution of the klein - gordon equation describing the propagation of a particle"}
{"subject": "math:arxiv_122517", "predicate": "proves", "object": "a slab based long range correction approach for multi - site lennard - jones models is presented for"}
{"subject": "math:arxiv_122528", "predicate": "proves", "object": "the duality between qcd perturbative series and power corrections recently conjectured by narison an"}
{"subject": "math:arxiv_122537", "predicate": "proves", "object": "in the framework of the brueckner - bethe - goldstone theory , we determine a fully microscopic equa"}
{"subject": "math:arxiv_122546", "predicate": "proves", "object": "we develop a theoretical study of non - terminating hypergeometric summations with one free paramete"}
{"subject": "math:arxiv_122549", "predicate": "proves", "object": "legendre - gauss - lobatto ( lgl ) grids play a pivotal role in nodal spectral methods for the numer"}
{"subject": "math:arxiv_122553", "predicate": "proves", "object": "a general investigation is made into the intrinsic riemannian geometry for complex systems , from th"}
{"subject": "math:arxiv_122586", "predicate": "proves", "object": "the rossi x - ray timing explorer ( rxte ) has demonstrated that fast x - ray timing can be used to "}
{"subject": "math:arxiv_122592", "predicate": "proves", "object": "the internal thermal noise in ligo s test masses is analyzed by a new technique , a direct applicati"}
{"subject": "math:arxiv_122595", "predicate": "proves", "object": "we present constraints on the mean matter density , @xmath0 , dark energy density , @xmath1 , and th"}
{"subject": "math:arxiv_122599", "predicate": "proves", "object": "a @xmath0dimensional quantum model in the spherical approximation confined to a general geometry of "}
{"subject": "math:arxiv_122605", "predicate": "proves", "object": "we give a construction of a torsion invariant of bundles of smooth manifolds which is based on the w"}
{"subject": "math:arxiv_122615", "predicate": "proves", "object": "the lengths of the telomere regions of chromosomes in a population of cells are modelled using a che"}
{"subject": "math:arxiv_122617", "predicate": "proves", "object": "we derive a generic weak lensing equation and apply it for the study of images produced by tidal cha"}
{"subject": "math:arxiv_122650", "predicate": "proves", "object": "the friedmann equations for a brane with induced gravity are analyzed and compared with the standard"}
{"subject": "math:arxiv_122667", "predicate": "proves", "object": "one of the fundamental theorems of uniform distribution theory states that the fractional parts of t"}
{"subject": "math:arxiv_122674", "predicate": "proves", "object": "we give an asymptotic formula for the minimum number of edges contained in triangles in a graph havi"}
{"subject": "math:arxiv_122697", "predicate": "proves", "object": "the triple point numbers and the triple point spectrum of a closed @xmath0-manifold were defined in "}
{"subject": "math:arxiv_122705", "predicate": "proves", "object": "the existence of `` dispersion - managed solitons '' , i.e. , stable pulsating solitary - wave solut"}
{"subject": "math:arxiv_122707", "predicate": "proves", "object": "the concept of dynamical symmetries is used for formulation of the renormalization group approach to"}
{"subject": "math:arxiv_122708", "predicate": "proves", "object": "we derive the bloch equations for the spin dynamics of a two - dimensional electron gas in the prese"}
{"subject": "math:arxiv_122717", "predicate": "proves", "object": "we undertake a preliminary numerical investigation to understand how the addition of white and color"}
{"subject": "math:arxiv_122720", "predicate": "proves", "object": "the goal of this article is twofold . \n first , we find a natural home for the double affine hecke a"}
{"subject": "math:arxiv_122763", "predicate": "proves", "object": "in this article we try to describe the physics of a standard optical interferometer fed by `` quantu"}
{"subject": "math:arxiv_122765", "predicate": "proves", "object": "we consider the rope climber fall problem in two different settings . \n the simplest formulation of "}
{"subject": "math:arxiv_122782", "predicate": "proves", "object": "recent theoretical advances in elasticity of membranes following helfrich s famous spontaneous curva"}
{"subject": "math:arxiv_122783", "predicate": "proves", "object": "measurements of the various plasma configurations produced by a planar magnetized coaxial gun provid"}
{"subject": "math:arxiv_122815", "predicate": "proves", "object": "let @xmath0 be the permutation group on @xmath1 elements , and consider a  random walk on @xmath0 wh"}
{"subject": "math:arxiv_122820", "predicate": "proves", "object": "exploiting the performance of today s processors requires intimate knowledge of the microarchitectur"}
{"subject": "math:arxiv_122831", "predicate": "proves", "object": "we study that a solution of the initial value problem associated for the coupled system of equations"}
{"subject": "math:arxiv_122839", "predicate": "proves", "object": "the aim of the paper is to answer the following question : does @xmath0-deformation fit into the fra"}
{"subject": "math:arxiv_122847", "predicate": "proves", "object": "in this paper we give a brief introduction to criteria for metrisability of a manifold and to some a"}
{"subject": "math:arxiv_122854", "predicate": "proves", "object": "it is suggested that generations are linked to the need of calculating curvature of space via a defo"}
{"subject": "math:arxiv_122856", "predicate": "proves", "object": "the motion of simple domain walls and of more complex magnetic textures in the presence of a transpo"}
{"subject": "math:arxiv_122859", "predicate": "proves", "object": "we introduce a mathematical model of the _ in vivo _ progression of alzheimer s disease with focus o"}
{"subject": "math:arxiv_122883", "predicate": "proves", "object": "a metrized graph is a compact singular @xmath0-manifold endowed with a metric \n . a given metrized g"}
{"subject": "math:arxiv_122896", "predicate": "proves", "object": "the magnetic field topology plays an important role in the understanding of stellar magnetic activit"}
{"subject": "math:arxiv_122902", "predicate": "proves", "object": "we investigate the vortex - type bps equations in the abjm theory without and with mass - deformatio"}
{"subject": "math:arxiv_122914", "predicate": "proves", "object": "we have performed magneto - optical kerr spectroscopy measurements on intercalated transition - meta"}
{"subject": "math:arxiv_122924", "predicate": "proves", "object": "in this paper we formulate limit zeno dynamics of general open systems as the adiabatic elimination "}
{"subject": "math:arxiv_122965", "predicate": "proves", "object": "the nonlinear theory of landau damping of electrostatic wave envelopes ( wes ) is revisited in a qua"}
{"subject": "math:arxiv_122971", "predicate": "proves", "object": "we study the spin dynamics of two dimensional electron gases ( 2degs ) with rashba spin - orbit coup"}
{"subject": "math:arxiv_122982", "predicate": "proves", "object": "we study kinetic models of reversible enzyme reactions and compare two techniques for analytic appro"}
{"subject": "math:arxiv_122986", "predicate": "proves", "object": "we present a proof - of - concept analysis of photometric redshifts with bayesian priors on physical"}
{"subject": "math:arxiv_122989", "predicate": "proves", "object": "we formulate the problem of a two - level system in a linearly polarized laser field in terms of a n"}
{"subject": "math:arxiv_122991", "predicate": "proves", "object": "we consider asymptotic behavior of fourier transforms of stationary ergodic sequences with finite se"}
{"subject": "math:arxiv_122997", "predicate": "proves", "object": "we first reformulate and expand with several novel findings some of the basic results in the integra"}
{"subject": "math:arxiv_123016", "predicate": "proves", "object": "there are many connections between the invariants of the different powers of an ideal . \n we investi"}
{"subject": "math:arxiv_123026", "predicate": "proves", "object": "we prove that a diagrammatic evaluation of the kubo formula for the electronic transport conductivit"}
{"subject": "math:arxiv_123047", "predicate": "proves", "object": "a delayed differential equation modelling a single neuron with inertial term is considered in this p"}
{"subject": "math:arxiv_123049", "predicate": "proves", "object": "the dynamics of accretion onto a schwarzschild black hole is studied using paczynski - wiita pseudo "}
{"subject": "math:arxiv_123058", "predicate": "proves", "object": "with use of the nonlinear schrdinger ( or gross - pitaevskii ) equation with strong repulsive cubic "}
{"subject": "math:arxiv_123063", "predicate": "proves", "object": "we investigate the physical properties of an integrable extension of the hubbard model with a free p"}
{"subject": "math:arxiv_123078", "predicate": "proves", "object": "we reconsider the theory of the half  filled lowest landau level using the chern \n simons formulatio"}
{"subject": "math:arxiv_123108", "predicate": "proves", "object": "a chebyshev expansion is a series in the basis of chebyshev polynomials of the first kind . \n when s"}
{"subject": "math:arxiv_123109", "predicate": "proves", "object": "we study quantum games with correlated noise through a generalized quantization scheme . \n we invest"}
{"subject": "math:arxiv_123131", "predicate": "proves", "object": "cmb angular spectrum measurements suggest a flat universe . this paper clarifies the relation betwee"}
{"subject": "math:arxiv_123135", "predicate": "proves", "object": "diffusion of a particle passing over the saddle point of a two - dimensional quadratic potential is "}
{"subject": "math:arxiv_123142", "predicate": "proves", "object": "we derive gap equations for superconductivity in coexistence with ferromagnetism . \n we treat single"}
{"subject": "math:arxiv_123144", "predicate": "proves", "object": "we show that the wyman s solution may be obtained from the four - dimensional einstein s equations f"}
{"subject": "math:arxiv_123149", "predicate": "proves", "object": "we compute fermion quantum corrections to the energy of cosmic strings . a number of rather technica"}
{"subject": "math:arxiv_123173", "predicate": "proves", "object": "we prove a generalization to the context of real geometry of an intersection formula for the vanishi"}
{"subject": "math:arxiv_123188", "predicate": "proves", "object": "in this work we exploit agglomeration based @xmath0-multigrid preconditioners to speed - up the iter"}
{"subject": "math:arxiv_123220", "predicate": "proves", "object": "in this contribution we present a new computational method for coupled bulk - surface problems on ti"}
{"subject": "math:arxiv_123228", "predicate": "proves", "object": "we present observations of a chromospheric jet and growing  loop \" system that show new evidence of "}
{"subject": "math:arxiv_123232", "predicate": "proves", "object": "in the paper we consider the stiefel manifold @xmath0 as a principal @xmath1-bundle over the grassma"}
{"subject": "math:arxiv_123256", "predicate": "proves", "object": "a simple kinetic theory for dilute gases under the influence of the drag from an environment is theo"}
{"subject": "math:arxiv_123262", "predicate": "proves", "object": "the generalized chaplygin gas ( gcg ) model is the prototype of a unified model of dark energy ( de "}
{"subject": "math:arxiv_123268", "predicate": "proves", "object": "+ an explicit formula for the resistance between two nodes in a network with a non - symmetric lapla"}
{"subject": "math:arxiv_123270", "predicate": "proves", "object": "we discuss the existence and uniqueness of the weak solution of the following quasilinear parabolic "}
{"subject": "math:arxiv_123271", "predicate": "proves", "object": "we show that there is an hierarchy of intersection rigidity properties of sets in a closed symplecti"}
{"subject": "math:arxiv_123294", "predicate": "proves", "object": "some years ago ruijsenaars and schneider initiated the study of mechanical systems exhibiting an act"}
{"subject": "math:arxiv_123298", "predicate": "proves", "object": "from a particularly simple solution of the ernst equation , we build a solution of the vacuum statio"}
{"subject": "math:arxiv_123313", "predicate": "proves", "object": "a compactness framework is established for approximate solutions to subsonic - sonic flows governed "}
{"subject": "math:arxiv_123314", "predicate": "proves", "object": "we study the fixed point for a non - linear transformation in the set of hausdorff moment sequences "}
{"subject": "math:arxiv_123317", "predicate": "proves", "object": "we give the basic definition of algebraic entropy for lattice equations . \n the entropy is a canonic"}
{"subject": "math:arxiv_123345", "predicate": "proves", "object": "the problem of electrons energy spread in the linear back compton scattering process has been consid"}
{"subject": "math:arxiv_123355", "predicate": "proves", "object": "in this work , we find exact wormhole solutions in the context of noncommutative geometry , and furt"}
{"subject": "math:arxiv_123362", "predicate": "proves", "object": "we present a long - wavelength approximation to the navier  stokes cahn  hilliard equations to descr"}
{"subject": "math:arxiv_123398", "predicate": "proves", "object": "we reformulate a recently introduced interpolation - based unique decoding algorithm of algebraic ge"}
{"subject": "math:arxiv_123402", "predicate": "proves", "object": "multivariance of geometry means that at the point @xmath0 there exist many vectors @xmath1 , @xmath2"}
{"subject": "math:arxiv_123407", "predicate": "proves", "object": "gentle algebras are a class of algebras that are derived tame . \n they therefore provide a concrete "}
{"subject": "math:arxiv_123422", "predicate": "proves", "object": "consider a time series with missing observations but a known final point . \n using control theory id"}
{"subject": "math:arxiv_123439", "predicate": "proves", "object": "a new method for finding electronic structure and wavefunctions of electrons in quasiperiodic potent"}
{"subject": "math:arxiv_123442", "predicate": "proves", "object": "we report on the development of a new shell - model monte carlo algorithm which uses the proton - ne"}
{"subject": "math:arxiv_123447", "predicate": "proves", "object": "in the context of magnetic fields generated by wires , we study the connection between the topology "}
{"subject": "math:arxiv_123449", "predicate": "proves", "object": "we develop a method of stochastic differential equation to simulate electron acceleration at astroph"}
{"subject": "math:arxiv_123459", "predicate": "proves", "object": "in this paper , we present new parameter - free superconvergent @xmath0-conforming hdg methods for t"}
{"subject": "math:arxiv_123460", "predicate": "proves", "object": "the method of exhaustion is generalized to a simple formula that can be used to integrate functions "}
{"subject": "math:arxiv_123466", "predicate": "proves", "object": "in this paper , we address the question of the discretization of stochastic partial differential equ"}
{"subject": "math:arxiv_123483", "predicate": "proves", "object": "one of the important theorems in homotopy theory is the hilton splitting theorem which states : ther"}
{"subject": "math:arxiv_123485", "predicate": "proves", "object": "we find general relations between rg equations and planar unitarity - analyticity . \n these relation"}
{"subject": "math:arxiv_123486", "predicate": "proves", "object": "a cosmological model with a new variant of chaplygin gas obeying an equation of state(eos ) , @xmath"}
{"subject": "math:arxiv_123492", "predicate": "proves", "object": "in this paper we give a detailed proof that the milnor fiber @xmath0 of an analytic complex isolated"}
{"subject": "math:arxiv_123496", "predicate": "proves", "object": "we study the differential energy distribution of dark matter halos , carrying out cosmological @xmat"}
{"subject": "math:arxiv_123530", "predicate": "proves", "object": "we study a modified prisoner s dilemma game taking place on two - dimensional disordered square latt"}
{"subject": "math:arxiv_123531", "predicate": "proves", "object": "the relation between packing geometry and force network statistics is studied for granular media . b"}
{"subject": "math:arxiv_123549", "predicate": "proves", "object": "we consider radially twisted nanotubes in the low - energy approximation where the dynamics is gover"}
{"subject": "math:arxiv_123554", "predicate": "proves", "object": "we study the boundary value problem for asymptotically flat stationary black ring solutions to the f"}
{"subject": "math:arxiv_123571", "predicate": "proves", "object": "we present a method to directly solving the bethe - salpeter equation in minkowski space , both for "}
{"subject": "math:arxiv_123572", "predicate": "proves", "object": "a five - dimensional solution to einstein s equations coupled to a scalar field has been proposed as"}
{"subject": "math:arxiv_123573", "predicate": "proves", "object": "the holonomic approximation lemma of eliashberg and mishachev is a powerful tool in the philosophy o"}
{"subject": "math:arxiv_123600", "predicate": "proves", "object": "we review in a pedagogical way the method of differential equations for the evaluation of d - dimens"}
{"subject": "math:arxiv_123628", "predicate": "proves", "object": "recently , berry phase in the semiclassical dynamical of bloch electrons has been found to make a co"}
{"subject": "math:arxiv_123635", "predicate": "proves", "object": "pointing out the incompleteness of conventional macroscopic maxwell equations ( m - eqs . ) , we pro"}
{"subject": "math:arxiv_123654", "predicate": "proves", "object": "in this paper we derive a new representation for the incomplete gamma function , exploiting the refo"}
{"subject": "math:arxiv_123671", "predicate": "proves", "object": "this paper is an investigation into cantor works about representing a function with trigonometric se"}
{"subject": "math:arxiv_123683", "predicate": "proves", "object": "we show how the operator product expansion evaluated in the approximation of ignoring gluons leads t"}
{"subject": "math:arxiv_123708", "predicate": "proves", "object": "in this paper we present chiral extrapolation formulas for the generalized form factors connected to"}
{"subject": "math:arxiv_123717", "predicate": "proves", "object": "in this paper we derive an effective master equation and quantum trajectory equation for multiple qu"}
{"subject": "math:arxiv_123726", "predicate": "proves", "object": "the bright , dark and grey solitons are well - known soliton solutions of the gross - pitaevskii equ"}
{"subject": "math:arxiv_123727", "predicate": "proves", "object": "in this paper one proves a special case of a conjecture by nicolas bergeron ( * ? ? ? \n * conjecture"}
{"subject": "math:arxiv_123751", "predicate": "proves", "object": "hawking - bekenstein entropy formula seems to tell us that no quantum degrees of freedom can reside "}
{"subject": "math:arxiv_123752", "predicate": "proves", "object": "in this paper we present an iterative method , inspired by the inverse iteration with shift techniqu"}
{"subject": "math:arxiv_123756", "predicate": "proves", "object": "this paper studies the cauchy problem for systems of semi - linear wave equations on @xmath0 with no"}
{"subject": "math:arxiv_123770", "predicate": "proves", "object": "in order to close the set of relativistic hydrodynamic equations , constitutive relations for the di"}
{"subject": "math:arxiv_123773", "predicate": "proves", "object": "a key feature of bps multi - center solutions is that the equations controlling the positions of the"}
{"subject": "math:arxiv_123808", "predicate": "proves", "object": "we describe how noise propagates through a network by calculating the variance of the outputs . usin"}
{"subject": "math:arxiv_123818", "predicate": "proves", "object": "competition of spatial and temporal instabilities under time delay near the codimension - two turing"}
{"subject": "math:arxiv_123842", "predicate": "proves", "object": "the ring dark solitons in spin-@xmath0 @xmath1na and @xmath2rb bose - einstein condensates are studi"}
{"subject": "math:arxiv_123851", "predicate": "proves", "object": "the solution to the non  forward bfkl equation in the leading logarithmic approximation is expressed"}
{"subject": "math:arxiv_123858", "predicate": "proves", "object": "we study field configurations in a hot quark - gluon plasma with spherical symmetry . \n we show that"}
{"subject": "math:arxiv_123870", "predicate": "proves", "object": "properties of transport of molecular motors are investigated . \n a simplified model based on the con"}
{"subject": "math:arxiv_123873", "predicate": "proves", "object": "in this paper we enumerate and classify the `` simplest '' pairs @xmath0 where @xmath1 is a closed o"}
{"subject": "math:arxiv_123891", "predicate": "proves", "object": "a set of cylindrical solutions to einstein s field equations for power law densities is described . "}
{"subject": "math:arxiv_123899", "predicate": "proves", "object": "we show that it is possible to obtain credible static anisotropic spherically symmetric matter confi"}
{"subject": "math:arxiv_123907", "predicate": "proves", "object": "for any hyperbolic twist knot in the @xmath0-sphere , we show that the resulting manifold by @xmath1"}
{"subject": "math:arxiv_123923", "predicate": "proves", "object": "let @xmath0 be the shimura variety associated to the group of spinor similitudes of a quadratic spac"}
{"subject": "math:arxiv_123950", "predicate": "proves", "object": "following the proof of the purity conjecture for weakly separated collections , recent years have re"}
{"subject": "math:arxiv_123976", "predicate": "proves", "object": "continuous sequences of asymptotically flat solutions to the einstein - maxwell equations describing"}
{"subject": "math:arxiv_123988", "predicate": "proves", "object": "we study d - branes on abelian orbifolds @xmath0 for @xmath1 . \n the toric data describing the d - b"}
{"subject": "math:arxiv_123991", "predicate": "proves", "object": "in the framework of lagrangian perturbation theory in general relativity we discuss the possibility "}
{"subject": "math:arxiv_124006", "predicate": "proves", "object": "the jeans equations relate the second - order velocity moments to the density and potential of a ste"}
{"subject": "math:arxiv_124016", "predicate": "proves", "object": "according to recent observations , the existence of the dark energy has been considered . \n even tho"}
{"subject": "math:arxiv_124036", "predicate": "proves", "object": "we write down the gap equation for the fermion self - energy in a finite - temperature abelian gauge"}
{"subject": "math:arxiv_124042", "predicate": "proves", "object": "we present a new approach to early universe cosmology . \n inflation is replaced by a phase transitio"}
{"subject": "math:arxiv_124044", "predicate": "proves", "object": "we present a method to numerically compute accurate tunnelling rates for a bose - einstein condensat"}
{"subject": "math:arxiv_124053", "predicate": "proves", "object": "we give a combinatorial way to locate non - displaceable lagrangian toric fibers on compact toric ma"}
{"subject": "math:arxiv_124055", "predicate": "proves", "object": "the reductive perturbation method has been employed to derive the korteweg - de vries ( kdv ) equati"}
{"subject": "math:arxiv_124056", "predicate": "proves", "object": "let @xmath0 be a compact hyperkhler manifold containing a complex torus @xmath1 as a lagrangian subv"}
{"subject": "math:arxiv_124064", "predicate": "proves", "object": "we prove that the 3-d free - surface incompressible euler equations with regular initial geometries "}
{"subject": "math:arxiv_124066", "predicate": "proves", "object": "based on the well - posedness of the stationary wigner equation with inflow boundary conditions give"}
{"subject": "math:arxiv_124071", "predicate": "proves", "object": "aiming to offer a framework for blended learning to the teaching of proof theory , the present paper"}
{"subject": "math:arxiv_124117", "predicate": "proves", "object": "the regge calculus approximates a continuous manifold by a simplicial lattice , keeping the connecti"}
{"subject": "math:arxiv_124135", "predicate": "proves", "object": "we formulate the uniformisation problem underlying the geometry of @xmath0-gravity using the differe"}
{"subject": "math:arxiv_124155", "predicate": "proves", "object": "we study the cubic non linear schrdinger equation ( nls ) on compact surfaces . on the sphere @xmath"}
{"subject": "math:arxiv_124179", "predicate": "proves", "object": "a particle flow algorithm ( pfa ) with the minimized dependence on the detector geometry is presente"}
{"subject": "math:arxiv_124182", "predicate": "proves", "object": "we study the spaces of poisson , compound poisson and gamma noises as special cases of a general app"}
{"subject": "math:arxiv_124189", "predicate": "proves", "object": "we extend the time - dependent variational principle to the setting of dissipative dynamics . \n this"}
{"subject": "math:arxiv_124191", "predicate": "proves", "object": "the inverse transfer in two - dimensional turbulence governed by the surface quasi - geostrophic ( s"}
{"subject": "math:arxiv_124192", "predicate": "proves", "object": "quasielastic neutron scattering is a powerful tool for the study of non - periodic motions in conden"}
{"subject": "math:arxiv_124200", "predicate": "proves", "object": "we solve the riemann - hilbert problem on the sphere topology for three singularities of finite stre"}
{"subject": "math:arxiv_124209", "predicate": "proves", "object": "we perform a fully relativistic calculation of the @xmath0 reaction in the impulse approximation . \n"}
{"subject": "math:arxiv_124210", "predicate": "proves", "object": "we develop a microscopic theory of a strong electromagnetic field interaction with gated bilayer gra"}
{"subject": "math:arxiv_124233", "predicate": "proves", "object": "we use the spherical evolution approximation to investigate nonlinear evolution from the non - gauss"}
{"subject": "math:arxiv_124242", "predicate": "proves", "object": "we derive an analytic formula of genus for dark matter halos assuming that the primordial mass densi"}
{"subject": "math:arxiv_124251", "predicate": "proves", "object": "the set of possible spectra @xmath0 of zero - sum triples of hermitian matrices forms a polyhedral c"}
{"subject": "math:arxiv_124259", "predicate": "proves", "object": "we derive a bell inequality based on a generalized quasiprobability function which is parameterized "}
{"subject": "math:arxiv_124261", "predicate": "proves", "object": "mirror symmetry of calabi - yau manifolds can be understood via a legendre duality between a pair of"}
{"subject": "math:arxiv_124265", "predicate": "proves", "object": "motivated by the analysis of schrdinger operators with periodic potentials we consider the following"}
{"subject": "math:arxiv_124270", "predicate": "proves", "object": "we calculate the binding energy of two @xmath0 hyperons bound to a nuclear core within the relativis"}
{"subject": "math:arxiv_124277", "predicate": "proves", "object": "we study the structure of neutron stars in @xmath0 gravity theories with perturbative constraints . "}
{"subject": "math:arxiv_124279", "predicate": "proves", "object": "we describe our recent proposal of a path integral formulation of classical hamiltonian dynamics . w"}
{"subject": "math:arxiv_124282", "predicate": "proves", "object": "deterministic rate equations are widely used in the study of stochastic , interacting particles syst"}
{"subject": "math:arxiv_124284", "predicate": "proves", "object": "we propose _ connectivity - preserving geometry images _ ( cgims ) , which map a triangular mesh ont"}
{"subject": "math:arxiv_124325", "predicate": "proves", "object": "proving a conjecture of dennis johnson , we show that the torelli subgroup @xmath0 of the genus @xma"}
{"subject": "math:arxiv_124340", "predicate": "proves", "object": "we show that the symmetries of image formation by scattering enable graph - theoretic manifold - emb"}
{"subject": "math:arxiv_124348", "predicate": "proves", "object": "in this paper we propose and analyze a discontinuous galerkin method for a linear parabolic problem "}
{"subject": "math:arxiv_124352", "predicate": "proves", "object": "we propose a physical analogy between finding the solution of an ordinary differential equation ( od"}
{"subject": "math:arxiv_124358", "predicate": "proves", "object": "we introduce here a class of stochastic partial differential equations defined on a graph and we sho"}
{"subject": "math:arxiv_124370", "predicate": "proves", "object": "we extensively develop a perturbation theory for nonlinear cosmological dynamics , based on the lagr"}
{"subject": "math:arxiv_124376", "predicate": "proves", "object": "we show that the gravitational magnification factor averaged over all configurations of lenses in a "}
{"subject": "math:arxiv_124390", "predicate": "proves", "object": "these notes are based on a series of talks given by the authors at the cimpa summer school on algebr"}
{"subject": "math:arxiv_124413", "predicate": "proves", "object": "the present study deals with spatial homogeneous and anisotropic locally rotationally symmetric ( lr"}
{"subject": "math:arxiv_124430", "predicate": "proves", "object": "we study the statistics of the number of connected components and the volume of a random real algebr"}
{"subject": "math:arxiv_124439", "predicate": "proves", "object": "a functional limit theorem for the partial maxima of a long memory stable sequence produces a limiti"}
{"subject": "math:arxiv_124441", "predicate": "proves", "object": "in this paper , we propose a factorization of a fourth - order harmonic tensor into second - order t"}
{"subject": "math:arxiv_124449", "predicate": "proves", "object": "we study the hilbert space structure of classical spacetimes under the assumption that entanglement "}
{"subject": "math:arxiv_124472", "predicate": "proves", "object": "this paper discusses the upwinded local discontinuous galerkin methods for the one - term / multi - "}
{"subject": "math:arxiv_124477", "predicate": "proves", "object": "in this text , we shall give an outline of some recent results ( see and ) of local wellposedness fo"}
{"subject": "math:arxiv_124539", "predicate": "proves", "object": "we consider polygonal billiards on surfaces of constant curvature . we show that the usual phase spa"}
{"subject": "math:arxiv_124571", "predicate": "proves", "object": "we propose that underdoped high @xmath0 superconductors are described by an algebraic spin liquid ( "}
{"subject": "math:arxiv_124578", "predicate": "proves", "object": "we analyze the resonant transmission of light through a photonic - crystal waveguide side coupled to"}
{"subject": "math:arxiv_124585", "predicate": "proves", "object": "the real time evolution of field condensates is solved for small and large field amplitudes in scala"}
{"subject": "math:arxiv_124593", "predicate": "proves", "object": "in the horndeski s most general scalar - tensor theories with second - order field equations , we de"}
{"subject": "math:arxiv_124597", "predicate": "proves", "object": "in this paper , we consider a problem for the first order dirac differential equations system with s"}
{"subject": "math:arxiv_124603", "predicate": "proves", "object": "we elaborate on some important ideas contained in lobachevsky s _ pangeometry _ and in some of his o"}
{"subject": "math:arxiv_124605", "predicate": "proves", "object": "in a semi  infinite geometry , a @xmath0 , @xmath1component model of biological evolution realizes m"}
{"subject": "math:arxiv_124616", "predicate": "proves", "object": "a procedure suggested by vvedensky for obtaining continuum equations as the coarse - grained limit o"}
{"subject": "math:arxiv_124630", "predicate": "proves", "object": "this is an expanded version of the lecture notes for a minicourse that i gave at a summer school cal"}
{"subject": "math:arxiv_124634", "predicate": "proves", "object": "we consider static circularly symmetric solution of three - dimensional einstein s equations with ne"}
{"subject": "math:arxiv_124647", "predicate": "proves", "object": "we consider stochastic differential equations of the form @xmath0 driven by a multi - dimensional ga"}
{"subject": "math:arxiv_124665", "predicate": "proves", "object": "null energy condition ( nec ) requires the equation of state ( eos ) of the universe @xmath0 satisfy"}
{"subject": "math:arxiv_124690", "predicate": "proves", "object": "the main result of this paper is a pfaffian formula for the partition function of the dimer model on"}
{"subject": "math:arxiv_124693", "predicate": "proves", "object": "we have discussed dynamical behavior of strange quark matter components , in particular the effects "}
{"subject": "math:arxiv_124709", "predicate": "proves", "object": "we show that pomeron interactions generate important corrections to the gribov - glauber formula , w"}
{"subject": "math:arxiv_124711", "predicate": "proves", "object": "we consider finite temperature @xmath0 gauge theory in the continuum formulation , which necessitate"}
{"subject": "math:arxiv_124729", "predicate": "proves", "object": "we apply optimal control theory to a tuberculosis model given by a system of ordinary differential e"}
{"subject": "math:arxiv_124735", "predicate": "proves", "object": "string theory , quantum geometry , loop quantum gravity and black hole physics all indicate the exis"}
{"subject": "math:arxiv_124740", "predicate": "proves", "object": "the campbell theorem , relating the variance of the current of a fission chamber ( a `` filtered poi"}
{"subject": "math:arxiv_124757", "predicate": "proves", "object": "basic linear algebra subprograms ( blas ) are a set of low level linear algebra kernels widely adopt"}
{"subject": "math:arxiv_124758", "predicate": "proves", "object": "we solve the equations of motion for a scalar field with domain wall boundary conditions in a friedm"}
{"subject": "math:arxiv_124761", "predicate": "proves", "object": "asymptotic reductions of a defocusing nonlocal nonlinear schrdinger model in @xmath0-dimensions , in"}
{"subject": "math:arxiv_124778", "predicate": "proves", "object": "in manifold learning , algorithms based on graph laplacian constructed from data have received consi"}
{"subject": "math:arxiv_124782", "predicate": "proves", "object": "a closed riemannian manifold @xmath0 is said to have cross ( compact rank one symmetric space ) bloc"}
{"subject": "math:arxiv_124789", "predicate": "proves", "object": "we discuss the two - center , time - dependent dirac equation describing the dynamics of an electron"}
{"subject": "math:arxiv_124800", "predicate": "proves", "object": "we study a driven two - state system interacting with a generic structured environment . \n we outlin"}
{"subject": "math:arxiv_124803", "predicate": "proves", "object": "we consider a one - dimensional brownian motion under nonequilibrium feedback control . \n generally "}
{"subject": "math:arxiv_124828", "predicate": "proves", "object": "suppose that @xmath0 is a consistent sentence . then there is no herbrand proof of @xmath1 , which m"}
{"subject": "math:arxiv_124833", "predicate": "proves", "object": "a new formula for the gravitational potential of flattened systems is proposed . \n it is a modificat"}
{"subject": "math:arxiv_124857", "predicate": "proves", "object": "by means of a nested sequence of some critical pieces constructed by kozlovski , shen , and van stri"}
{"subject": "math:arxiv_124859", "predicate": "proves", "object": "dirac equation for a general black hole metric having a cosmic string is derived . \n the quasi - nor"}
{"subject": "math:arxiv_124861", "predicate": "proves", "object": "we investigate a system of three tunnel - coupled semiconductor quantum dots in a triangular geometr"}
{"subject": "math:arxiv_124863", "predicate": "proves", "object": "the gap equation at finite temperature in the top - quark condensate scheme of electroweak symmetry "}
{"subject": "math:arxiv_124872", "predicate": "proves", "object": "in this paper the author formulates and proves a theorem that relates smoothness of kinetic energy a"}
{"subject": "math:arxiv_124888", "predicate": "proves", "object": "the aim of this article is to understand the geometry of limit sets in anti - de sitter space . \n we"}
{"subject": "math:arxiv_124890", "predicate": "proves", "object": "the rising amount of polarized observations of relativistic sources requires the correct theory for "}
{"subject": "math:arxiv_124891", "predicate": "proves", "object": "in this note , we prove some non - existence results for dirichlet problems of complex hessian equat"}
{"subject": "math:arxiv_124894", "predicate": "proves", "object": "a _ generalized semitoric system _ @xmath0 on a symplectic @xmath1-manifold is an integrable system "}
{"subject": "math:arxiv_124936", "predicate": "proves", "object": "we consider the perturbations of a relativistic star as an initial - value problem . having discusse"}
{"subject": "math:arxiv_124937", "predicate": "proves", "object": "the universal object oriented languages made programming more simple and efficient . in the article "}
{"subject": "math:arxiv_124952", "predicate": "proves", "object": "we study the cauchy problem for the wave equation @xmath0 on extreme kerr backgrounds under axisymme"}
{"subject": "math:arxiv_124957", "predicate": "proves", "object": "a universal representation theorem is derived that shows any graph is the intersection graph of one "}
{"subject": "math:arxiv_124965", "predicate": "proves", "object": "in this paper , inspired by the ultraviolet deformation of the friedmann - lematre - robertson - wal"}
{"subject": "math:arxiv_124971", "predicate": "proves", "object": "we analyze the tensor mode perturbations of static , spherically symmetric solutions of the einstein"}
{"subject": "math:arxiv_124972", "predicate": "proves", "object": "following many theories that predict the existence of the multiverse and by conjecture that our spac"}
{"subject": "math:arxiv_124984", "predicate": "proves", "object": "in this article we define and investigate a notion of parallel transport on finite projective module"}
{"subject": "math:arxiv_124999", "predicate": "proves", "object": "fix a rank @xmath0 free group @xmath1 and a connected reductive complex algebraic group @xmath2 . \n "}
{"subject": "math:arxiv_125003", "predicate": "proves", "object": "we present an algorithm to compute the annihilator of ( i.e. , the linear differential equations for"}
{"subject": "math:arxiv_125041", "predicate": "proves", "object": "we prove that every @xmath0-connected simple graph contains @xmath1 rigid and @xmath2 connected edge"}
{"subject": "math:arxiv_125057", "predicate": "proves", "object": "we outline a strategy for showing convergence of loop - erased random walk on the @xmath0 square lat"}
{"subject": "math:arxiv_125060", "predicate": "proves", "object": "in this paper , an intuitive mathematical formulation is provided to generalize the residual entangl"}
{"subject": "math:arxiv_125061", "predicate": "proves", "object": "the invariant @xmath0 is the simplest @xmath1-manifold invariant defined by counting graph configura"}
{"subject": "math:arxiv_125065", "predicate": "proves", "object": "we investigate the coevolution of galaxies and hosted supermassive black holes throughout the histor"}
{"subject": "math:arxiv_125066", "predicate": "proves", "object": "we propose the set of coupled ordinary differential equations @xmath0 as a discrete analog of the cl"}
{"subject": "math:arxiv_125068", "predicate": "proves", "object": "order unit property of a positive element in a @xmath0-algebra is defined . \n it is proved that prec"}
{"subject": "math:arxiv_125076", "predicate": "proves", "object": "we have measured magnetotransport of the two - dimensional electron gas in a hall bar geometry in th"}
{"subject": "math:arxiv_125079", "predicate": "proves", "object": "we determine the @xmath0-module structure of the preprojective algebra and its zeroth hochschild hom"}
{"subject": "math:arxiv_125091", "predicate": "proves", "object": "we report preliminary results from a series of numerical simulations of the reduced magnetohydrodyna"}
{"subject": "math:arxiv_125104", "predicate": "proves", "object": "let @xmath0 be an algebraically closed field of characteristic @xmath1 . \n we shall consider the pro"}
{"subject": "math:arxiv_125106", "predicate": "proves", "object": "a modified friedmann equation which arises in an extension of general relativity which accommodates "}
{"subject": "math:arxiv_125122", "predicate": "proves", "object": "basing on the gross - pitaevskii equations , it is predicted that a repulsive ( defocusing ) interac"}
{"subject": "math:arxiv_125159", "predicate": "proves", "object": "we investigated the superfluid properties of the inner crust of neutron stars , solving the hartree "}
{"subject": "math:arxiv_125171", "predicate": "proves", "object": "* abstract *    it is shown that a self - dual neutral einstein four - manifold of petrov type iii ,"}
{"subject": "math:arxiv_125179", "predicate": "proves", "object": "we discuss some open problems in a program of constructing and studying two - dimensional conformal "}
{"subject": "math:arxiv_125183", "predicate": "proves", "object": "the system of navier  stokes  fourier equations is one of the most celebrated systems of equations i"}
{"subject": "math:arxiv_125193", "predicate": "proves", "object": "the one loop renormalization group equations for the yukawa couplings of quarks are solved . from th"}
{"subject": "math:arxiv_125237", "predicate": "proves", "object": "in this paper we consider quantum interactive proof systems , i.e. , interactive proof systems in wh"}
{"subject": "math:arxiv_125241", "predicate": "proves", "object": "a result of keel and m^c^kernan states that a hypothetical counterexample to the @xmath0-conjecture "}
{"subject": "math:arxiv_125249", "predicate": "proves", "object": "the tensor model can be regarded as theory of dynamical fuzzy spaces , and gives a way to formulate "}
{"subject": "math:arxiv_125253", "predicate": "proves", "object": "two types of average neutron - proton interaction formulas are compared : in the first type , neutro"}
{"subject": "math:arxiv_125254", "predicate": "proves", "object": "we investigate analytically and numerically the ground and metastable states for easy - plane heisen"}
{"subject": "math:arxiv_125368", "predicate": "proves", "object": "the ideal uniform two - dimensional ( 2d ) fermi and bose gases are considered both in the thermodyn"}
{"subject": "math:arxiv_125371", "predicate": "proves", "object": "a balance - equation scheme is developed to investigate the magnetotransport in a dc - current - bia"}
{"subject": "math:arxiv_125390", "predicate": "proves", "object": "a general method has been developed to solve the schrdinger equation for an arbitrary derivative of "}
{"subject": "math:arxiv_125408", "predicate": "proves", "object": "in a previous work we investigated the existence of hopf degenerate bifurcation points for a differe"}
{"subject": "math:arxiv_125413", "predicate": "proves", "object": "we use the theory of kolyvagin systems to prove ( most of ) a refined class number formula conjectur"}
{"subject": "math:arxiv_125480", "predicate": "proves", "object": "we extend our exact reformulation of the bosonic many - body problem in terms of a stochastic hartre"}
{"subject": "math:arxiv_125481", "predicate": "proves", "object": "we propose a means for constructing highly accurate equations of state ( eos ) for elemental solids "}
{"subject": "math:arxiv_125508", "predicate": "proves", "object": "given a sample of a random variable supported by a smooth compact manifold @xmath0 , we propose a te"}
{"subject": "math:arxiv_125509", "predicate": "proves", "object": "we present a sufficient condition that a pseudointegrable system has weak mixing property . \n the re"}
{"subject": "math:arxiv_125519", "predicate": "proves", "object": "random walks on graphs are widely used in all sciences to describe a great variety of phenomena wher"}
{"subject": "math:arxiv_125545", "predicate": "proves", "object": "the kontsevich integral of a knot is a powerful invariant which takes values in an algebra of trival"}
{"subject": "math:arxiv_125552", "predicate": "proves", "object": "a new scheme for calculating masses and boost - invariant wave functions of heavy quarkonia is devel"}
{"subject": "math:arxiv_125554", "predicate": "proves", "object": "we study finite type invariants of nullhomologous knots in a closed 3-manifold @xmath0 defined in te"}
{"subject": "math:arxiv_125559", "predicate": "proves", "object": "quadratic systems generated using yang - baxter equations are integrable in a sense , but we display"}
{"subject": "math:arxiv_125560", "predicate": "proves", "object": "we investigate the phase structure of the two - dimensional lattice gross - neveu model formulated w"}
{"subject": "math:arxiv_125576", "predicate": "proves", "object": "the four - body yakubovsky equations in a three - dimensional approach with the inclusion of the thr"}
{"subject": "math:arxiv_125585", "predicate": "proves", "object": "dynamical evolution of test fields in background geometry with a naked singularity is an important p"}
{"subject": "math:arxiv_125607", "predicate": "proves", "object": "the role of the number of breakpoints @xmath0 in the sawtooth form of the characteristic function in"}
{"subject": "math:arxiv_125636", "predicate": "proves", "object": "we present a first principle derivation of the coupled nonlinear schrdinger equations that govern th"}
{"subject": "math:arxiv_125637", "predicate": "proves", "object": "we prove gauss - bonnet and poincar - hopf formulas for multi - linear valuations on finite simple g"}
{"subject": "math:arxiv_125642", "predicate": "proves", "object": "we present a new type of a thermodynamically stable magnetic state at interfaces and surfaces of chi"}
{"subject": "math:arxiv_125645", "predicate": "proves", "object": "happy birthday to the witt ring ! the year 2012 marks the 75th anniversary of witt s famous paper co"}
{"subject": "math:arxiv_125646", "predicate": "proves", "object": "we formulate the einstein - podolsky - rosen ( epr ) gedankenexperiment within the framework of rela"}
{"subject": "math:arxiv_125656", "predicate": "proves", "object": "we propose an energetic interpretation of stochastic processes described by langevin equations with "}
{"subject": "math:arxiv_125667", "predicate": "proves", "object": "we develop an analytical device model for graphene bilayer field - effect transistors ( gbl - fets )"}
{"subject": "math:arxiv_125685", "predicate": "proves", "object": "this paper presents the cosmological applications of the quasispherical szekeres model . \n the quasi"}
{"subject": "math:arxiv_125699", "predicate": "proves", "object": "we develop a general classification of the infinite number of families of solitons and soliton compl"}
{"subject": "math:arxiv_125705", "predicate": "proves", "object": "we present a solution to the problem of defining a counterpart in algebraic set theory of the constr"}
{"subject": "math:arxiv_125734", "predicate": "proves", "object": "in this paper we propose a godunov - based discretization of a hyperbolic system of conservation law"}
{"subject": "math:arxiv_125735", "predicate": "proves", "object": "we show examples of pairs of smooth , compact , homeomorphic @xmath0-manifolds , whose diffeomorphis"}
{"subject": "math:arxiv_125746", "predicate": "proves", "object": "we describe a new approach called ket - bra entangled state ( kbes ) method which enables one conver"}
{"subject": "math:arxiv_125747", "predicate": "proves", "object": "witten s top chern class is a particular cohomology class on the moduli space of riemann surfaces en"}
{"subject": "math:arxiv_125758", "predicate": "proves", "object": "the time - independent nonlinear schrdinger equation is solved for two attractive delta - function s"}
{"subject": "math:arxiv_125798", "predicate": "proves", "object": "we give new rational blowdown constructions of exotic @xmath0 @xmath1 without using elliptic fibrati"}
{"subject": "math:arxiv_125808", "predicate": "proves", "object": "in this paper we investigate the solution of generalized distributed order diffusion equations with "}
{"subject": "math:arxiv_125869", "predicate": "proves", "object": "abstract .    we review the application of torsion in field theory . \n first we show how the notion "}
{"subject": "math:arxiv_125873", "predicate": "proves", "object": "ammonium dinitramide ( adn ) is one of the most promising green energetic oxidizer for future rocket"}
{"subject": "math:arxiv_125909", "predicate": "proves", "object": "within the superfield method we extend the formulation of the lorentz - breaking aether superspace f"}
{"subject": "math:arxiv_125910", "predicate": "proves", "object": "in contrast to the prevailing view in the literature , it is shown that even extremely stiff sets of"}
{"subject": "math:arxiv_125912", "predicate": "proves", "object": "a truncation scheme for the dyson \n schwinger equations of qcd in landau gauge is presented which im"}
{"subject": "math:arxiv_125921", "predicate": "proves", "object": "based on the technique previously developed by the author , we present a conjecture which claims tha"}
{"subject": "math:arxiv_125940", "predicate": "proves", "object": "the extension of the method  @xcite for solving the leading order evolution equation for generalized"}
{"subject": "math:arxiv_125942", "predicate": "proves", "object": "we study static , spherically symmetric black hole solutions of the einstein equations with a positi"}
{"subject": "math:arxiv_125962", "predicate": "proves", "object": "by either performing a taylor expansion or making a polynomial approximation , the bethe equation fo"}
{"subject": "math:arxiv_125965", "predicate": "proves", "object": "the systematic effective lagrangian method was first formulated in the context of the strong interac"}
{"subject": "math:arxiv_125967", "predicate": "proves", "object": "we present quantum lattice boltzmann simulations of the dirac equation for quantum - relativistic pa"}
{"subject": "math:arxiv_126020", "predicate": "proves", "object": "in this paper , we focus on a special class of ideal projectors . with the aid of algebraic geometry"}
{"subject": "math:arxiv_126037", "predicate": "proves", "object": "the present article establishes connections between the structure of the deterministic navier - stok"}
{"subject": "math:arxiv_126038", "predicate": "proves", "object": "based on a quantum langevin equation and its corresponding hamiltonian within a c - number formalism"}
{"subject": "math:arxiv_126039", "predicate": "proves", "object": "let @xmath0 be a compact manifold with a hamiltonian @xmath1 action and moment map @xmath2 . \n the r"}
{"subject": "math:arxiv_126046", "predicate": "proves", "object": "we investigate the class of the edge - shelling convex geometries of trees . \n the edge - shelling c"}
{"subject": "math:arxiv_126061", "predicate": "proves", "object": "we consider the moduli spaces @xmath0 of a closed linkage with @xmath1 links and prescribed lengths "}
{"subject": "math:arxiv_126072", "predicate": "proves", "object": "cosmological equations were recently derived by padmanabhan from the expansion of cosmic space due t"}
{"subject": "math:arxiv_126079", "predicate": "proves", "object": "high - resolution spectra of [ fe  ii ] @xmath016435 around @xmath1 carinae provide powerful diagnos"}
{"subject": "math:arxiv_126081", "predicate": "proves", "object": "the main results of this article are _ small time _ \n heat comparison results for two points in two "}
{"subject": "math:arxiv_126096", "predicate": "proves", "object": "the paper is devoted to the generalization of lusztig s @xmath0-analog of weight multiplicities to t"}
{"subject": "math:arxiv_126097", "predicate": "proves", "object": "in this paper we consider the compact plane sets known as _ \n swiss cheese sets _ , which are a usef"}
{"subject": "math:arxiv_126100", "predicate": "proves", "object": "we derive a reduction formula that expresses the survival rate for the three - flavor neutrino oscil"}
{"subject": "math:arxiv_126105", "predicate": "proves", "object": "the chiral symmetry breaking transition of quarks in the fundamental and adjoint representation is s"}
{"subject": "math:arxiv_126112", "predicate": "proves", "object": "a more accurate , stable , finite - difference time - domain ( fdtd ) algorithm is developed for sim"}
{"subject": "math:arxiv_126136", "predicate": "proves", "object": "in this paper we give a re - normalization of the reshetikhin - turaev quantum invariants of links ,"}
{"subject": "math:arxiv_126146", "predicate": "proves", "object": "ozsvth and szab conjectured that knot floer homology detects fibred knots in @xmath0 . \n we will pro"}
{"subject": "math:arxiv_126165", "predicate": "proves", "object": "the concept of derivative coordinate functions proved useful in the formulation of analytic fractal "}
{"subject": "math:arxiv_126166", "predicate": "proves", "object": "the @xmath0 potential is calculated in the color - dielectric formulation of transverse lattice qcd "}
{"subject": "math:arxiv_126168", "predicate": "proves", "object": "the significance to which the cosmic microwave background ( cmb ) observations by the satellite cobe"}
{"subject": "math:arxiv_126169", "predicate": "proves", "object": "the dg algorithm is a powerful method for solving pdes , especially for evolution equations in conse"}
{"subject": "math:arxiv_126187", "predicate": "proves", "object": "for the observed @xmath0 decay , an intensity - ratio equivalence - theorem for two lorentz - invari"}
{"subject": "math:arxiv_126194", "predicate": "proves", "object": "we provide a tool to obtain local descriptions of quiddity cycles . as an application \n , we classif"}
{"subject": "math:arxiv_126209", "predicate": "proves", "object": "we consider the eigenvalue equation for the largest eigenvalue of certain kinds of non - compact lin"}
{"subject": "math:arxiv_126216", "predicate": "proves", "object": "we prove that the maximal nilpotent subalgebra of a kac - moody lie algebra has a ( essentially , un"}
{"subject": "math:arxiv_126225", "predicate": "proves", "object": "these are the expanded lecture notes from the author s mini - course during the graduate summer scho"}
{"subject": "math:arxiv_126230", "predicate": "proves", "object": "we use the variational method , in a reformulated hamiltonian formalism of qcd , to derive the wave "}
{"subject": "math:arxiv_126245", "predicate": "proves", "object": "we present an insightful `` derivation '' of the langevin equation and the fluctuation dissipation t"}
{"subject": "math:arxiv_126255", "predicate": "proves", "object": "we study the asymptotic behavior of the schrdinger equation in the presence of a nonlinearity of har"}
{"subject": "math:arxiv_126257", "predicate": "proves", "object": "the size of minimal perturbations to roots of parameterized equations can be estimated reliably from"}
{"subject": "math:arxiv_126260", "predicate": "proves", "object": "threshold neutral pion photoproduction on light nuclei is studied in the framework of baryon chiral "}
{"subject": "math:arxiv_126280", "predicate": "proves", "object": "we present numerical solution of equations by aslamazov and lempitskiy ( al ) @xcite for the distrib"}
{"subject": "math:arxiv_126306", "predicate": "proves", "object": "in this paper we consider the @xmath0-family of equations on the torus @xmath1 , which for appropria"}
{"subject": "math:arxiv_126307", "predicate": "proves", "object": "we review the spinor moving frame formulations and generalized action principle for super-@xmath0-br"}
{"subject": "math:arxiv_126330", "predicate": "proves", "object": "we give a new , simple proof of the trace formula for hecke operators on modular forms for finite in"}
{"subject": "math:arxiv_126363", "predicate": "proves", "object": "the newton polytope @xmath0 of a polynomial @xmath1 is well known to have a strong impact on its beh"}
{"subject": "math:arxiv_126377", "predicate": "proves", "object": "we formulate a set of linear equations that describe the behaviour of small eccentricities in a prot"}
{"subject": "math:arxiv_126382", "predicate": "proves", "object": "a two parameter generalization of boltzmann - gibbs - shannon entropy based on natural logarithm is "}
{"subject": "math:arxiv_126384", "predicate": "proves", "object": "the extension of the ramo - schockley - pellegrini theorem for quantum systems allows to define a po"}
{"subject": "math:arxiv_126398", "predicate": "proves", "object": "we study the relationship between local and global error in runge - kutta methods for initial - valu"}
{"subject": "math:arxiv_126404", "predicate": "proves", "object": "the weak law of large numbers is traced chronologically from its inception as jacob bernoulli s theo"}
{"subject": "math:arxiv_126405", "predicate": "proves", "object": "let @xmath0 denote all nonbounding effective smooth @xmath1-actions on @xmath2-dimensional smooth cl"}
{"subject": "math:arxiv_126450", "predicate": "proves", "object": "we solve the two - component dirac equation in the presence of a spatially one dimensional symmetric"}
{"subject": "math:arxiv_126456", "predicate": "proves", "object": "the rational homology balls @xmath0 appeared in fintushel and stern s rational blow - down construct"}
{"subject": "math:arxiv_126470", "predicate": "proves", "object": "an introductory overview of vector spaces , algebras , and linear geometries over an arbitrary commu"}
{"subject": "math:arxiv_126473", "predicate": "proves", "object": "let @xmath0 be an incompressible , meridionally incompressible and not boundary - parallel surface w"}
{"subject": "math:arxiv_126486", "predicate": "proves", "object": "the solution to the bfkl equation grows like a power of center of mass energy , @xmath0 , violating "}
{"subject": "math:arxiv_126495", "predicate": "proves", "object": "we examine the separability of the nambu - goto equation for test strings in a shape of toroidal spi"}
{"subject": "math:arxiv_126518", "predicate": "proves", "object": "we present a generalized transmission coefficient formula for the lead - junction - lead system , in"}
{"subject": "math:arxiv_126532", "predicate": "proves", "object": "within the covariant formulation of light - front dynamics , in a scalar model with the interaction "}
{"subject": "math:arxiv_126553", "predicate": "proves", "object": "whereas semiclassical gravity is based on the semiclassical einstein equation with sources given by "}
{"subject": "math:arxiv_126572", "predicate": "proves", "object": "after briefly reviewing recent progress by the hotqcd collaboration in studying the 2 + 1 flavor qcd"}
{"subject": "math:arxiv_126585", "predicate": "proves", "object": "an ordering for laurent polynomials in the algebraic torus @xmath0 , inspired by the cantero  moral "}
{"subject": "math:arxiv_126590", "predicate": "proves", "object": "in this paper , which is a research announcement of results that will appear in @xcite , we give a n"}
{"subject": "math:arxiv_126592", "predicate": "proves", "object": "a nonperturbative formulation of the wess - zumino ( wz ) model in two and three dimensions is propo"}
{"subject": "math:arxiv_126601", "predicate": "proves", "object": "a complete construction of the aflt states is proposed . with this construction and for \n all the ca"}
{"subject": "math:arxiv_126625", "predicate": "proves", "object": "we show that the abelian higgs field equations in the four dimensional anti de sitter spacetime have"}
{"subject": "math:arxiv_126638", "predicate": "proves", "object": "we give a solution of the riemann problem in relativistic hydrodynamics in the case of ultrarelativi"}
{"subject": "math:arxiv_126650", "predicate": "proves", "object": "we apply a method developed by one of the authors , see @xcite , to localize the numerical range of "}
{"subject": "math:arxiv_126653", "predicate": "proves", "object": "we give an overview of the proof for mirzakhani s volume recursion for the weil - petersson volumes "}
{"subject": "math:arxiv_126655", "predicate": "proves", "object": "an algebraic method has been developed which allows one to engineer several energy levels including "}
{"subject": "math:arxiv_126665", "predicate": "proves", "object": "in terms of exact solutions of the time - dependent schr@xmath0dinger equation for an effective gian"}
{"subject": "math:arxiv_126678", "predicate": "proves", "object": "resonant tunneling through a quantum dot weakly coupled to tomonaga - luttinger liquids is discussed"}
{"subject": "math:arxiv_126693", "predicate": "proves", "object": "j. an @xcite proved that for any @xmath0 such that @xmath1 , @xmath2 is @xmath3-winning for schmidt "}
{"subject": "math:arxiv_126696", "predicate": "proves", "object": "by recursively solving the underlying schr \" odinger equation , we set up an efficient systematic ap"}
{"subject": "math:arxiv_126710", "predicate": "proves", "object": "event - by - event fluctuations are central to the current understanding of ultrarelativistic heavy "}
{"subject": "math:arxiv_126771", "predicate": "proves", "object": "the grid theorem , originally proved by robertson and seymour in graph minors v in 1986 , is one of "}
{"subject": "math:arxiv_126779", "predicate": "proves", "object": "we derive a general expression for standard tensor norm of @xmath0-body correlation tensors for @xma"}
{"subject": "math:arxiv_126788", "predicate": "proves", "object": "the critical behavior of the chiral quark - meson model is studied within the functional renormaliza"}
{"subject": "math:arxiv_126818", "predicate": "proves", "object": "in the present paper we introduce analogs of almost periodic functions for the unit circle . \n we st"}
{"subject": "math:arxiv_126824", "predicate": "proves", "object": "in general relativity ( gr ) , spacetime geometry is no longer just a background arena but a physica"}
{"subject": "math:arxiv_126831", "predicate": "proves", "object": "we consider a transmission problem consisting of a semilinear parabolic equation in a general non - "}
{"subject": "math:arxiv_126840", "predicate": "proves", "object": "we study the impact of impurities on turbulence driven intrinsic rotation ( via residual stress ) in"}
{"subject": "math:arxiv_126892", "predicate": "proves", "object": "we derive a consistent 2-loop scaling picture for a kondo dot in both equilibrium and non - equilibr"}
{"subject": "math:arxiv_126906", "predicate": "proves", "object": "in the context of gravity s rainbow , we compute the graviton one - loop contribution to a classical"}
{"subject": "math:arxiv_126935", "predicate": "proves", "object": "the schrdinger  langevin equation ( sle ) is considered as an effective open quantum system formalis"}
{"subject": "math:arxiv_126947", "predicate": "proves", "object": "there is extensive numerical support for the prime - pair conjecture ( ppc ) of hardy and littlewood"}
{"subject": "math:arxiv_126962", "predicate": "proves", "object": "we construct syz mirrors of the local calabi  yau manifolds of type @xmath0 by developing an equivar"}
{"subject": "math:arxiv_126963", "predicate": "proves", "object": "if gravitons are super - strong interacting particles and the low - temperature graviton background "}
{"subject": "math:arxiv_126999", "predicate": "proves", "object": "the gaussian - filtered navier - stokes equations are examined theoretically and a generalized theor"}
{"subject": "math:arxiv_127005", "predicate": "proves", "object": "we use a simple lattice statistical model to analyze the effects of directional interactions on the "}
{"subject": "math:arxiv_127014", "predicate": "proves", "object": "a class of classical solutions to the @xmath0-painlev equation of type @xmath1 ( a @xmath0-differenc"}
{"subject": "math:arxiv_127054", "predicate": "proves", "object": "an independent derivation of solutions to the camassa - holm equation in terms of multi - dimensiona"}
{"subject": "math:arxiv_127055", "predicate": "proves", "object": "we present the analytical solutions for the evolution of matter density perturbations , for a model "}
{"subject": "math:arxiv_127062", "predicate": "proves", "object": "here we discuss an example of topologically isotopic but smoothly non - isotopic pair of @xmath0- sp"}
{"subject": "math:arxiv_127064", "predicate": "proves", "object": "we study abductive , causal , and non - causal conditionals in indicative and counterfactual formula"}
{"subject": "math:arxiv_127077", "predicate": "proves", "object": "in 1941 sumner myers proved that if the ricci curvature of a complete riemann manifold has a positiv"}
{"subject": "math:arxiv_127142", "predicate": "proves", "object": "the theme is the influence of the spin structure on the dirac spectrum of a spin manifold . \n we sur"}
{"subject": "math:arxiv_127151", "predicate": "proves", "object": "with the objective of modeling both separate and disperse two - phase flows , we use in this paper a"}
{"subject": "math:arxiv_127155", "predicate": "proves", "object": "by solving the fokker - planck equation directly we examine effects of annihilation , particle escap"}
{"subject": "math:arxiv_127158", "predicate": "proves", "object": "we show that a transverse link in a contact structure supported by an open book decomposition can be"}
{"subject": "math:arxiv_127178", "predicate": "proves", "object": "the laplace hopf algebra created by rota and coll . is generalized to provide an algebraic tool for "}
{"subject": "math:arxiv_127193", "predicate": "proves", "object": "the mclennan - zubarev steady state distribution is studied in the connection with fluctuation theor"}
{"subject": "math:arxiv_127205", "predicate": "proves", "object": "we introduce a gauge - theoretic integer lift of the rohlin invariant of a smooth @xmath0-manifold @"}
{"subject": "math:arxiv_127209", "predicate": "proves", "object": "we begin a study of a multi - parameter family of cauchy initial - value problems for the modified n"}
{"subject": "math:arxiv_127215", "predicate": "proves", "object": "quantum ergodicity theorem states that for quantum systems with ergodic classical flows , eigenstate"}
{"subject": "math:arxiv_127235", "predicate": "proves", "object": "here we comment on the thermodynamic inconsistency problem and the reformulation of statistical mech"}
{"subject": "math:arxiv_127237", "predicate": "proves", "object": "assuming a steady - state condition within a cell , metabolic fluxes satisfy an under - determined l"}
{"subject": "math:arxiv_127250", "predicate": "proves", "object": "we construct a flat sheaf of algebras over the moduli stack of stable punctured curves with fiber ov"}
{"subject": "math:arxiv_127281", "predicate": "proves", "object": "the landauer s formula conductance of the telescoped armchair nanotubes is calculated with the hamil"}
{"subject": "math:arxiv_127329", "predicate": "proves", "object": "we derive the exact late - time asymptotics for small spherically symmetric solutions of nonlinear w"}
{"subject": "math:arxiv_127350", "predicate": "proves", "object": "we develop a hydrodynamic description of the collective modes of interacting liquids in a quasi - on"}
{"subject": "math:arxiv_127356", "predicate": "proves", "object": "the bertrand s theorem is extended , i.e. closed orbits still may exist for central potentials other"}
{"subject": "math:arxiv_127392", "predicate": "proves", "object": "we propose a cloak for coupled shear and pressure waves in solids . \n its elastic properties are ded"}
{"subject": "math:arxiv_127400", "predicate": "proves", "object": "the present study deals with dissipative future universe without big rip in context of eckart formal"}
{"subject": "math:arxiv_127465", "predicate": "proves", "object": "the partition function for the free neutral scalar field given in the framework of the method of the"}
{"subject": "math:arxiv_127477", "predicate": "proves", "object": "we develop a practical theoretical formalism for studying the critical properties of a trapped bose "}
{"subject": "math:arxiv_127482", "predicate": "proves", "object": "we study quasilinear degenerate parabolic - hyperbolic stochastic partial differential equations wit"}
{"subject": "math:arxiv_127490", "predicate": "proves", "object": "we introduce a modified rack algebra @xmath0 $ ] for racks @xmath1 with finite rack rank @xmath2 . \n"}
{"subject": "math:arxiv_127521", "predicate": "proves", "object": "using schwinger - dyson equations and ward identities in @xmath0 supersymmetric electrodynamics , re"}
{"subject": "math:arxiv_127535", "predicate": "proves", "object": "the margolus - levitin theorem is a limitation on the minimal evolving time of a quantum system from"}
{"subject": "math:arxiv_127536", "predicate": "proves", "object": "there exist methods to reformulate in an exact way the many - body problem of interacting bosons in "}
{"subject": "math:arxiv_127537", "predicate": "proves", "object": "the behavior of electrons in strained graphene is usually described using effective pseudomagnetic f"}
{"subject": "math:arxiv_127554", "predicate": "proves", "object": "in this paper we propose an improved method for calculating hnon s stability parameter , which is ba"}
{"subject": "math:arxiv_127562", "predicate": "proves", "object": "we give a new recurrence formula for the eigenvalues of the derangement graph . \n consequently , we "}
{"subject": "math:arxiv_127580", "predicate": "proves", "object": "we propose new parameters to describe the geometry of a warped disc when viewed edge - on , a global"}
{"subject": "math:arxiv_127585", "predicate": "proves", "object": "j. przytycki has established a connection between the hochschild homology of an algebra @xmath0 and "}
{"subject": "math:arxiv_127598", "predicate": "proves", "object": "in this paper , we consider the dynamic power control for delay - aware d2d communications . \n the s"}
{"subject": "math:arxiv_127601", "predicate": "proves", "object": "we derive and justify a normal form reduction of the nonlinear schrdinger equation for a general pit"}
{"subject": "math:arxiv_127602", "predicate": "proves", "object": "we investigate the influence of static disorder and thermal excitations on excitonic energy transpor"}
{"subject": "math:arxiv_127606", "predicate": "proves", "object": "the problem of a test body in the schwarzschild geometry is investigated in a keplerian limit . begi"}
{"subject": "math:arxiv_127618", "predicate": "proves", "object": "using the quasi - maxwell form of the vacuum einstein equations and demanding the presence of a cyli"}
{"subject": "math:arxiv_127659", "predicate": "proves", "object": "the optical activity of oriented molecular systems is investigated using bianisotropic material cons"}
{"subject": "math:arxiv_127672", "predicate": "proves", "object": "smooth gowdy - symmetric generalized taub - nut solutions are a class of inhomogeneous cosmological "}
{"subject": "math:arxiv_127683", "predicate": "proves", "object": "a graphical and an algebraic demonstration is made to show why the slope and zero point of the cephe"}
{"subject": "math:arxiv_127688", "predicate": "proves", "object": "for an almost product structure @xmath0 on a manifold @xmath1 of dimension @xmath2 with non - degene"}
{"subject": "math:arxiv_127692", "predicate": "proves", "object": "we solve ( 3 + 1)dimensional ideal hydrodynamical equations with source terms that describe punch - "}
{"subject": "math:arxiv_127697", "predicate": "proves", "object": "we study a quantum dot josephson junction inside an aharonov - bohm environment . \n the geometry is "}
{"subject": "math:arxiv_127706", "predicate": "proves", "object": "the structure and stability of various vortices in @xmath0 spinor bose - einstein condensates are in"}
{"subject": "math:arxiv_127715", "predicate": "proves", "object": "we examine in analytic and numeric ways the imaging effects of temporal neutron lenses created by tr"}
{"subject": "math:arxiv_127716", "predicate": "proves", "object": "* j. math . fluid mechanics , 2004 , in press . * \n the authors consider stochastic aspects of the s"}
{"subject": "math:arxiv_127743", "predicate": "proves", "object": "this paper uses the kerr geodesic equations for massless particles to derive an acceleration vector "}
{"subject": "math:arxiv_127759", "predicate": "proves", "object": "we prove a new impossibility for quantum information ( the no - splitting theorem ) : an unknown qua"}
{"subject": "math:arxiv_127761", "predicate": "proves", "object": "methods have previously been developed for the approximation of lyapunov functions using radial basi"}
{"subject": "math:arxiv_127768", "predicate": "proves", "object": "for @xmath0 , we give formulas for the number @xmath1 of irreducible components of the m - th jet sc"}
{"subject": "math:arxiv_127774", "predicate": "proves", "object": "we present a relativistic formulation of the quantum hall effect on haldane sphere . \n an explicit f"}
{"subject": "math:arxiv_127801", "predicate": "proves", "object": "in this work we present the solution of the stellar spot problem using the kelvin - stokes theorem ."}
{"subject": "math:arxiv_127802", "predicate": "proves", "object": "recent determinations of the equation of state of dark energy hint that this may well be of the phan"}
{"subject": "math:arxiv_127822", "predicate": "proves", "object": "we study certain stationary and time - evolution problems of trapped bose - einstein condensates usi"}
{"subject": "math:arxiv_127827", "predicate": "proves", "object": "we derive a permutability theorem for the christoffel , goursat and darboux transformations of isoth"}
{"subject": "math:arxiv_127834", "predicate": "proves", "object": "when morris and thorne first proposed that traversable wormholes may be actual physical objects , th"}
{"subject": "math:arxiv_127840", "predicate": "proves", "object": "it was found that the canonical energy of multi - brane solutions in csft constructed by the @xmath0"}
{"subject": "math:arxiv_127847", "predicate": "proves", "object": "quantum graphity ( qg ) is a model of emergent geometry in which space is represented by a dynamical"}
{"subject": "math:arxiv_127848", "predicate": "proves", "object": "we formulate a generic newtonian like analogous potential for static spherically symmetric general r"}
{"subject": "math:arxiv_127857", "predicate": "proves", "object": "we study @xmath0-graded identities of simple lie superalgebras over a field of characteristic zero ."}
{"subject": "math:arxiv_127861", "predicate": "proves", "object": "a structure formed by combined lattices of infinitely long wires and split - ring resonators is stud"}
{"subject": "math:arxiv_127870", "predicate": "proves", "object": "as it is well known the topology of space is not totally determined by einstein s equations . \n it i"}
{"subject": "math:arxiv_127911", "predicate": "proves", "object": "in this article , we generalize eberlein s rigidity theorem to the singular case , namely , one of t"}
{"subject": "math:arxiv_127912", "predicate": "proves", "object": "we formulate a general path integral approach which describes statistics of current fluctuations in "}
{"subject": "math:arxiv_127926", "predicate": "proves", "object": "for sutured three - manifolds @xmath0 , there is a _ sutured _ thurston norm @xmath1 due to m.  scha"}
{"subject": "math:arxiv_127930", "predicate": "proves", "object": "we investigate the @xmath0 for @xmath1 in a sequential fourth generation model . by giving the basic"}
{"subject": "math:arxiv_127947", "predicate": "proves", "object": "an analysis of the interaction between a spherical relativistic blast - wave _ shell _ and a station"}
{"subject": "math:arxiv_127948", "predicate": "proves", "object": "we investigate the behavior of fourier transforms for a wide class of nonstationary nonlinear proces"}
{"subject": "math:arxiv_127956", "predicate": "proves", "object": "we extend the formulation of relativistic coulomb sum rules to account for the average effects of nu"}
{"subject": "math:arxiv_127965", "predicate": "proves", "object": "this paper presents a brief review of the newly developed _ extended electrodynamics_. the relativis"}
{"subject": "math:arxiv_127975", "predicate": "proves", "object": "by numerically integrating the compressible navier - stokes equations in two dimensions , we calcula"}
{"subject": "math:arxiv_127979", "predicate": "proves", "object": "motivated by the recent dilaton - based proof of the 4d @xmath0-theorem , we study the dilaton effec"}
{"subject": "math:arxiv_127980", "predicate": "proves", "object": "this paper derives a kinetic equation for a two - dimensional single species point vortex system . \n"}
{"subject": "math:arxiv_127984", "predicate": "proves", "object": "we describe the hochschild cohomology ring for one of the two self - injective algebras of tree clas"}
{"subject": "math:arxiv_127993", "predicate": "proves", "object": "we examine the evolution of paraxial beams carrying intrinsic spin and orbital angular momenta ( am "}
{"subject": "math:arxiv_128000", "predicate": "proves", "object": "we are interested in nonlocal eikonal equations describing the evolution of interfaces moving with a"}
{"subject": "math:arxiv_128019", "predicate": "proves", "object": "we use the geometry of the farey graph to give an alternative proof of the fact that if @xmath0 and "}
{"subject": "math:arxiv_128041", "predicate": "proves", "object": "in this paper we formulate and analyze the mixed formulation of the one - dimensional equilibrium mo"}
{"subject": "math:arxiv_128043", "predicate": "proves", "object": "fluid dynamic limit to compressible euler equations from compressible navier - stokes equations and "}
{"subject": "math:arxiv_128053", "predicate": "proves", "object": "we generalize the gleason  kahane  elazko theorem to modules . as an application \n , we show that ev"}
{"subject": "math:arxiv_128073", "predicate": "proves", "object": "in this work we define single - particle potentials for a positron and a positronium atom interactin"}
{"subject": "math:arxiv_128083", "predicate": "proves", "object": "the quantitative investigation of the scalar bethe - salpeter equation in minkowski space , within t"}
{"subject": "math:arxiv_128088", "predicate": "proves", "object": "we study the asymptotics of strongly continuous operator semigroups defined on locally convex spaces"}
{"subject": "math:arxiv_128092", "predicate": "proves", "object": "for a broad class of random walks with anisotropic scattering kernel and absorption , we derive expl"}
{"subject": "math:arxiv_128096", "predicate": "proves", "object": "a construction of the virasoro algebra in terms of free massless two - dimensional boson fields is s"}
{"subject": "math:arxiv_128103", "predicate": "proves", "object": "the diffusion of chiral active brownian particles in three - dimensional space is studied analytical"}
{"subject": "math:arxiv_128107", "predicate": "proves", "object": "we study quantum gravity on @xmath0 using the chern - simons formulation of three - dimensional grav"}
{"subject": "math:arxiv_128108", "predicate": "proves", "object": "quantum theory may be formulated using hilbert spaces over any of the three associative normed divis"}
{"subject": "math:arxiv_128117", "predicate": "proves", "object": "here we report a study of vortex states in a thin superconducting film with a magnetic dot grown upo"}
{"subject": "math:arxiv_128120", "predicate": "proves", "object": "we classify the most common local forms of smooth maps from a smooth manifold @xmath0 to the plane ."}
{"subject": "math:arxiv_128132", "predicate": "proves", "object": "the minimum free - energy path ( mfep ) is the most probable route of the nucleation process on the "}
{"subject": "math:arxiv_128146", "predicate": "proves", "object": "the resonance states embedded in the three - cluster continuum of @xmath0he and @xmath0be are obtain"}
{"subject": "math:arxiv_128148", "predicate": "proves", "object": "the equation of state for neutron stars in a wide - density range at zero temperature is constructed"}
{"subject": "math:arxiv_128155", "predicate": "proves", "object": "newton s deduction of the inverse square law from kepler s ellipse and area laws together with his s"}
{"subject": "math:arxiv_128162", "predicate": "proves", "object": "we present vulcan/2d multi - group flux - limited - diffusion radiation hydrodynamics simulations of"}
{"subject": "math:arxiv_128164", "predicate": "proves", "object": "recently kaniel & itin proposed a gravitational model with the wave type equation @xmath0\\vartheta^\\"}
{"subject": "math:arxiv_128175", "predicate": "proves", "object": "we present a case for the use of codes possessing algebraic closure properties - coset codes - in de"}
{"subject": "math:arxiv_128186", "predicate": "proves", "object": "we consider an initial - boundary value problem for a 2d time - dependent schrdinger equation on a s"}
{"subject": "math:arxiv_128193", "predicate": "proves", "object": "in this short note we investigate the numerical performance of the method of artificial diffusion fo"}
{"subject": "math:arxiv_128196", "predicate": "proves", "object": "the aim of this work is to develop general optimization methods for finite difference schemes used t"}
{"subject": "math:arxiv_128204", "predicate": "proves", "object": "the nonmesonic decay of the hypertriton is calculated based on a hypertriton wavefunction and 3n sca"}
{"subject": "math:arxiv_128233", "predicate": "proves", "object": "we consider the dynamics of finite - size disordered systems as defined by a master equation satisfy"}
{"subject": "math:arxiv_128246", "predicate": "proves", "object": "in this article we provide several exact formulae to calculate the probability that a random triangl"}
{"subject": "math:arxiv_128256", "predicate": "proves", "object": "in the present article , we study the local features of the world - sheet in the case when probe bos"}
{"subject": "math:arxiv_128276", "predicate": "proves", "object": "both the trapping geometry and the interatomic interaction strength of a dilute ultracold fermionic "}
{"subject": "math:arxiv_128288", "predicate": "proves", "object": "we present a derivation of the gap equation for the crystalline color superconducting phase of qcd w"}
{"subject": "math:arxiv_128335", "predicate": "proves", "object": "the dynamics of adhesion of a spherical micro - particle to a ligand - coated wall , in shear flow ,"}
{"subject": "math:arxiv_128347", "predicate": "proves", "object": "we develop a first - principle equation of state of salt - free polyelectrolyte solution in the limi"}
{"subject": "math:arxiv_128348", "predicate": "proves", "object": "the kauffman bracket skein module @xmath0 of a 3-manifold @xmath1 is defined over formal power serie"}
{"subject": "math:arxiv_128360", "predicate": "proves", "object": "for a class of non - hyperelliptic genus 3 curves @xmath0 which are 2-fold coverings of elliptic cur"}
{"subject": "math:arxiv_128369", "predicate": "proves", "object": "two versions of the neutron - gamma variance to mean ( feynman - alpha method or feynman - y functio"}
{"subject": "math:arxiv_128389", "predicate": "proves", "object": "we present a theorem that defines the direction of a preconditioned system for the bi - conjugate gr"}
{"subject": "math:arxiv_128392", "predicate": "proves", "object": "we construct a sequence of markov processes on the set of dominant weights of an affine lie algebra "}
{"subject": "math:arxiv_128395", "predicate": "proves", "object": "the heavy quarkonia ( charmonium @xmath0 and bottomonium @xmath1 ) are investigated in the framework"}
{"subject": "math:arxiv_128397", "predicate": "proves", "object": "linear systems with many degrees of freedom containing multiplicative and additive noise are conside"}
{"subject": "math:arxiv_128420", "predicate": "proves", "object": "we develop a class of soliton solution of _ linear _ schrdinger equation without external potential "}
{"subject": "math:arxiv_128421", "predicate": "proves", "object": "various results based on some convexity assumptions ( involving the exponential map along with affin"}
{"subject": "math:arxiv_128436", "predicate": "proves", "object": "we study the evolution of cooperation in the prisoner s dilemma and the snowdrift game on scale - fr"}
{"subject": "math:arxiv_128452", "predicate": "proves", "object": "green - hyperbolic operators are linear differential operators acting on sections of a vector bundle"}
{"subject": "math:arxiv_128467", "predicate": "proves", "object": "bose - einstein condensates of exciton - polaritons are described by a schrdinger system of two equa"}
{"subject": "math:arxiv_128472", "predicate": "proves", "object": "traditional manifold learning algorithms often bear an assumption that the local neighborhood of any"}
{"subject": "math:arxiv_128484", "predicate": "proves", "object": "the aim of the note is to prove an obstruction theorem for @xmath0-structures over a commutative rin"}
{"subject": "math:arxiv_128492", "predicate": "proves", "object": "the lindblad master equation for an arbitrary _ quadratic _ system of @xmath0 fermions is solved exp"}
{"subject": "math:arxiv_128500", "predicate": "proves", "object": "we exploit a generic instability in the integration of steady , sonic , near - isothermal flows to f"}
{"subject": "math:arxiv_128511", "predicate": "proves", "object": "the chalker - coddington network model ( introduced originally as a model for percolation in the qua"}
{"subject": "math:arxiv_128520", "predicate": "proves", "object": "within the framework of mean field theory , we examine the phase transitions in ising magnetic films"}
{"subject": "math:arxiv_128523", "predicate": "proves", "object": "we propose a kind of reverse kochen - specker theorem that amounts to generating orthomodular lattic"}
{"subject": "math:arxiv_128524", "predicate": "proves", "object": "the initial - boundary value problem for the heat equation is solved by using a new algorithm based "}
{"subject": "math:arxiv_128529", "predicate": "proves", "object": "the periastron position advance for geodesic motion in axially symmetric solutions of the einstein f"}
{"subject": "math:arxiv_128557", "predicate": "proves", "object": "generalized probabilistic logic ( gpl ) is a temporal logic , based on the modal mu - calculus , for"}
{"subject": "math:arxiv_128561", "predicate": "proves", "object": "we study correspondences between algebraic curves defined over the separable closure of @xmath0 or @"}
{"subject": "math:arxiv_128566", "predicate": "proves", "object": "based on a law of the iterated logarithm for independent random variables sequences , an iterated lo"}
{"subject": "math:arxiv_128571", "predicate": "proves", "object": "excitonic effects in optical spectra and electron - hole pair excitations are described by solutions"}
{"subject": "math:arxiv_128576", "predicate": "proves", "object": "in producing a counterexample to the hirsch conjecture , francisco santos has described a new constr"}
{"subject": "math:arxiv_128577", "predicate": "proves", "object": "a general formula for the correlation function in redshift space is derived in linear theory . \n the"}
{"subject": "math:arxiv_128578", "predicate": "proves", "object": "we construct several families of manifolds that have pairs of genus @xmath0 heegaard splittings that"}
{"subject": "math:arxiv_128584", "predicate": "proves", "object": "this paper investigates an adaptive wavelet collocation time domain method for the numerical solutio"}
{"subject": "math:arxiv_128592", "predicate": "proves", "object": "scalar - tensor cosmologies can be dealt under the standard of the hojman conservation theorem that "}
{"subject": "math:arxiv_128608", "predicate": "proves", "object": "we consider parametrized families of linear retarded functional differential equations ( rfdes ) pro"}
{"subject": "math:arxiv_128614", "predicate": "proves", "object": "the generalized second law is proven for semiclassical quantum fields falling across a causal horizo"}
{"subject": "math:arxiv_128628", "predicate": "proves", "object": "a new algorithm based on auxiliary differential equation and finite difference time domain method ( "}
{"subject": "math:arxiv_128634", "predicate": "proves", "object": "recently , hodgson and kerckhoff found a small bound on dehn surgered @xmath0-manifolds from hyperbo"}
{"subject": "math:arxiv_128643", "predicate": "proves", "object": "we examine the recently proposed imaginary - time formulation for strongly correlated steady - state"}
{"subject": "math:arxiv_128644", "predicate": "proves", "object": "the aim of this paper is to study the multipliers from @xmath0 to @xmath1 , where @xmath2 is the loc"}
{"subject": "math:arxiv_128646", "predicate": "proves", "object": "driven elastic manifolds in random media exhibit a depinning transition to a state with non - vanish"}
{"subject": "math:arxiv_128660", "predicate": "proves", "object": "we give a combinatorial characterization of minimally rigid planar frameworks with orientation - pre"}
{"subject": "math:arxiv_128681", "predicate": "proves", "object": "the classical geiringer theorem addresses the limiting frequency of occurrence of various alleles af"}
{"subject": "math:arxiv_128692", "predicate": "proves", "object": "in the framework of spatially averaged inhomogeneous cosmologies in classical general relativity , e"}
{"subject": "math:arxiv_128697", "predicate": "proves", "object": "we solve three - nucleon faddeev equations with nucleon - nucleon and three - nucleon forces derived"}
{"subject": "math:arxiv_128719", "predicate": "proves", "object": "we discuss mesons in thermalizing gluon backgrounds in the @xmath0 supersymmetric qcd using the grav"}
{"subject": "math:arxiv_128735", "predicate": "proves", "object": "* abstract *    in numerical computations of einstein s equations for black hole spacetimes , it wil"}
{"subject": "math:arxiv_128748", "predicate": "proves", "object": "the problem of characterizing impacts of data quality on real - time locational marginal price ( lmp"}
{"subject": "math:arxiv_128787", "predicate": "proves", "object": "we address the approximation of functionals depending on a system of particles , described by stocha"}
{"subject": "math:arxiv_128800", "predicate": "proves", "object": "inspired from the idea of minimally coupling of a real scalar field to geometry , we investigate the"}
{"subject": "math:arxiv_128821", "predicate": "proves", "object": "we derive a model - independent integral formula for chiral susceptibility and attempt to present a "}
{"subject": "math:arxiv_128839", "predicate": "proves", "object": "in this paper , we classify all the orientable hyperbolic 5-manifolds that arise as a hyperbolic spa"}
{"subject": "math:arxiv_128841", "predicate": "proves", "object": "the article is devoted to @xmath0 decays with @xmath1 , @xmath2 , @xmath3 , 4 . in the framework of "}
{"subject": "math:arxiv_128842", "predicate": "proves", "object": "a notion of degree - coloring is introduced ; it captures some , but not all properties of standard "}
{"subject": "math:arxiv_128857", "predicate": "proves", "object": "the stochastic gross - pitaevskii equation represents a versatile approach for studying the dynamics"}
{"subject": "math:arxiv_128863", "predicate": "proves", "object": "the gauge theory of spin glasses and statistical - mechanical formulation of error - correcting code"}
{"subject": "math:arxiv_128897", "predicate": "proves", "object": "given a multigraded algebra @xmath0 , it is a natural question whether or not for two homogeneous co"}
{"subject": "math:arxiv_128920", "predicate": "proves", "object": "we analyze the null geodesic equations in five dimensional spherically symmetric spacetime with coll"}
{"subject": "math:arxiv_128928", "predicate": "proves", "object": "we study the realization problem which asks if a given oriented link in an open 3-manifold can be re"}
{"subject": "math:arxiv_128943", "predicate": "proves", "object": "we show that the disc instability model can reproduce all the observed properties of z  cam stars if"}
{"subject": "math:arxiv_128955", "predicate": "proves", "object": "in this work we prove the existence and uniqueness of the strong solution of the shell model of turb"}
{"subject": "math:arxiv_128958", "predicate": "proves", "object": "this paper extends parts of the results from @xcite for plane curves to the case of hypersurfaces in"}
{"subject": "math:arxiv_128979", "predicate": "proves", "object": "we compute the ring structure of floer cohomology groups of lagrangian torus fibers in some toric fa"}
{"subject": "math:arxiv_128981", "predicate": "proves", "object": "motivated by the advantages achieved by implicit analogue net for solving online linear equations , "}
{"subject": "math:arxiv_128985", "predicate": "proves", "object": "we present a novel formulation to calculate transport through disordered superconductors connected b"}
{"subject": "math:arxiv_128988", "predicate": "proves", "object": "integrase proteins acting on circular double - stranded dna often change its topology by transformin"}
{"subject": "math:arxiv_129020", "predicate": "proves", "object": "the first example of a compact manifold admitting both complex and symplectic structures but not adm"}
{"subject": "math:arxiv_129030", "predicate": "proves", "object": "we shortly recall the derivation of the faddeev - yakubovsky differential equations and point out th"}
{"subject": "math:arxiv_129050", "predicate": "proves", "object": "we prove empirical central limit theorems for the distribution of levels of various random fields de"}
{"subject": "math:arxiv_129054", "predicate": "proves", "object": "the backbone of standard cosmology is the friedmann - robertson - walker solution to einstein s equa"}
{"subject": "math:arxiv_129065", "predicate": "proves", "object": "we show how one can systematically construct vacuum solutions to einstein field equations with @xmat"}
{"subject": "math:arxiv_129070", "predicate": "proves", "object": "we study analytically and numerically a model describing front propagation of a kpp reaction in a fl"}
{"subject": "math:arxiv_129073", "predicate": "proves", "object": "in this article , we study the structure of the @xmath0 meson in the framework of the coupled rainbo"}
{"subject": "math:arxiv_129091", "predicate": "proves", "object": "we study the absorption of massive spin - half particles by a small schwarzschild black hole by nume"}
{"subject": "math:arxiv_129108", "predicate": "proves", "object": "in this paper we investigate the constraints on the cosmological parameters , especially for the equ"}
{"subject": "math:arxiv_129116", "predicate": "proves", "object": "a coordinate system that blockwise - simplifies the kerr  newman black hole s thermodynamical state "}
{"subject": "math:arxiv_129121", "predicate": "proves", "object": "in this article , an analytical description is presented based on the master equation . \n this maste"}
{"subject": "math:arxiv_129124", "predicate": "proves", "object": "we study the influence of a possible h dibaryon condensate on the equation of state and the overall "}
{"subject": "math:arxiv_129131", "predicate": "proves", "object": "based on measurements of the internet topology data , we found out that there are two mechanisms whi"}
{"subject": "math:arxiv_129135", "predicate": "proves", "object": "we briefly review the young field of spectropolarimetry of core - collapse supernovae ( sne ) . \n sp"}
{"subject": "math:arxiv_129180", "predicate": "proves", "object": "a classical theorem of ingham extended parseval s formula of the trigonometrical system to arbitrary"}
{"subject": "math:arxiv_129204", "predicate": "proves", "object": "we study the statistics of growing networks with a tree topology in which each link carries a weight"}
{"subject": "math:arxiv_129209", "predicate": "proves", "object": "a classical - kind phase - space formalism is developed to address the tiny intrinsic dynamical devi"}
{"subject": "math:arxiv_129228", "predicate": "proves", "object": "this paper is concerned with a stochastic recursive optimal control problem with time delay , where "}
{"subject": "math:arxiv_129267", "predicate": "proves", "object": "collective stable chaos consists of the persistence of disordered patterns in dynamical spatiotempor"}
{"subject": "math:arxiv_129269", "predicate": "proves", "object": "we study the bcs gap equation for a fermi gas with unequal population of spin - up and spin - down s"}
{"subject": "math:arxiv_129271", "predicate": "proves", "object": "in this article , we combine the modified electrostatics of a one - dimensional transistor structure"}
{"subject": "math:arxiv_129274", "predicate": "proves", "object": "in this paper we study pattern formation arising in a system of a single reaction - diffusion equati"}
{"subject": "math:arxiv_129285", "predicate": "proves", "object": "let @xmath0 be a compact connected oriented @xmath1 dimensional manifold without boundary . in this "}
{"subject": "math:arxiv_129287", "predicate": "proves", "object": "parker s magnetostatic theorem extended to astrophysical magnetofluids with large magnetic reynolds "}
{"subject": "math:arxiv_129296", "predicate": "proves", "object": "we present a class of confining potentials which allow one to reduce the one - dimensional schrdinge"}
{"subject": "math:arxiv_129304", "predicate": "proves", "object": "an integro - differential equation , modeling dynamic fractional order viscoelasticity , with a mitt"}
{"subject": "math:arxiv_129326", "predicate": "proves", "object": "in this article , we investigate the alternating sum of the @xmath0-adic cohomology of the lubin - t"}
{"subject": "math:arxiv_129349", "predicate": "proves", "object": "to describe large momentum distributions of charged hadrons observed at rhic , a diffusion equation "}
{"subject": "math:arxiv_129366", "predicate": "proves", "object": "it is a conjecture of colin and honda that the number of reeb periodic orbits of universally tight c"}
{"subject": "math:arxiv_129368", "predicate": "proves", "object": "the electronic structure of the hydrogen molecule in a magnetic field is investigated for parallel i"}
{"subject": "math:arxiv_129374", "predicate": "proves", "object": "a highly extrapolatable semiempirical shell model mass equation applicable to translead elements up "}
{"subject": "math:arxiv_129377", "predicate": "proves", "object": "a fully general - covariant formulation of statistical mechanics is still lacking . \n we take a step"}
{"subject": "math:arxiv_129395", "predicate": "proves", "object": "we obtain the first exact solution for the stationary one - dimensional kardar - parisi - zhang equa"}
{"subject": "math:arxiv_129409", "predicate": "proves", "object": "we propose a framework employing stochastic differential equations to facilitate the long - term sta"}
{"subject": "math:arxiv_129414", "predicate": "proves", "object": "the time evolution of the probability density function ( pdf ) of the mass density is formulated and"}
{"subject": "math:arxiv_129415", "predicate": "proves", "object": "cauchy s sum theorem of 1821 has been the subject of rival interpretations ever since robinson propo"}
{"subject": "math:arxiv_129430", "predicate": "proves", "object": "in this paper , we consider multiple cache - enabled clients connected to multiple servers through a"}
{"subject": "math:arxiv_129436", "predicate": "proves", "object": "recent results on the stationary state fluctuation theorems for work and heat fluctuations of langev"}
{"subject": "math:arxiv_129437", "predicate": "proves", "object": "mapping out the equation of state ( eos ) of nuclear matter is a long standing problem in nuclear ph"}
{"subject": "math:arxiv_129476", "predicate": "proves", "object": "we build generalizations of the grassmann algebras from a few simple assumptions which are that they"}
{"subject": "math:arxiv_129486", "predicate": "proves", "object": "the non - equilibrium self - consistent generalized langevin equation theory of colloid dynamics is "}
{"subject": "math:arxiv_129492", "predicate": "proves", "object": "let @xmath0 be a quasi - hopf algebra , a weak hopf algebra or a braided hopf algebra . \n let @xmath"}
{"subject": "math:arxiv_129523", "predicate": "proves", "object": "stable random variables are motivated by the central limit theorem for densities with ( potentially "}
{"subject": "math:arxiv_129545", "predicate": "proves", "object": "it is well known that the poisson - boltzmann ( pb ) equation yields the exact counterion density ar"}
{"subject": "math:arxiv_129546", "predicate": "proves", "object": "we take hydrodynamic initial conditions in relativistic heavy ion collisions from the color glass co"}
{"subject": "math:arxiv_129586", "predicate": "proves", "object": "in this letter , we show how one can solve easily the potts-3 + branching interactions and potts-@xm"}
{"subject": "math:arxiv_129591", "predicate": "proves", "object": "we study the fractional populations in chromosome inherited diseases . \n the governing equations for"}
{"subject": "math:arxiv_129599", "predicate": "proves", "object": "* abstract : * starting from the linear sigma model with constituent quarks we derive the chiral flu"}
{"subject": "math:arxiv_129622", "predicate": "proves", "object": "we present an algorithm that finds all toric noncommutative crepant resolutions of a given toric 3-d"}
{"subject": "math:arxiv_129632", "predicate": "proves", "object": "we consider integer - restricted optimal control of systems governed by abstract semilinear evolutio"}
{"subject": "math:arxiv_129633", "predicate": "proves", "object": "various problems of geometry , topology and dynamical systems on surfaces as well as some questions "}
{"subject": "math:arxiv_129653", "predicate": "proves", "object": "we consider random systems of equations @xmath0 @xmath1 which are interpreted as equations modulo @x"}
{"subject": "math:arxiv_129663", "predicate": "proves", "object": "the randomly driven navier - stokes equation without pressure in @xmath0-dimensional space is consid"}
{"subject": "math:arxiv_129685", "predicate": "proves", "object": "on a smooth compact connected @xmath0-dimensional riemannian manifold @xmath1 , if @xmath2 then an a"}
{"subject": "math:arxiv_129688", "predicate": "proves", "object": "the bethe - salpeter equation for a two - scalar , s - wave bound system , interacting through a mas"}
{"subject": "math:arxiv_129695", "predicate": "proves", "object": "an accelerated boundary integral method for stokes flow of a suspension of deformable particles is p"}
{"subject": "math:arxiv_129705", "predicate": "proves", "object": "the eigenvalues @xmath0 of the @xmath1-dimensional schrdinger equation with the cornell potential @x"}
{"subject": "math:arxiv_129712", "predicate": "proves", "object": "we use a one - scale similarity analysis which gives specific relations between the velocity , ampli"}
{"subject": "math:arxiv_129734", "predicate": "proves", "object": "we provide an approximate zero @xmath0 for the hyperbolic kepler s equation @xmath1 for @xmath2 and "}
{"subject": "math:arxiv_129747", "predicate": "proves", "object": "in this paper we propose a lagrangian method for solving lane - emden equation which is a nonlinear "}
{"subject": "math:arxiv_129753", "predicate": "proves", "object": "the result after @xmath0 steps of an implicit runge - kutta time discretization of an inhomogeneous "}
{"subject": "math:arxiv_129772", "predicate": "proves", "object": "this paper is devoted to study the warm inflation using vector fields in the background of locally r"}
{"subject": "math:arxiv_129774", "predicate": "proves", "object": "the linear stability of rapid granular flow on a slope under gravity against the longitudinal pertur"}
{"subject": "math:arxiv_129777", "predicate": "proves", "object": "this paper reviews a result of jensen on characters of some tilting modules for @xmath0 , where @xma"}
{"subject": "math:arxiv_129781", "predicate": "proves", "object": "a typical planar system of difference equations can be folded or transformed into a scalar differenc"}
{"subject": "math:arxiv_129786", "predicate": "proves", "object": "we make use of the first - quantized wave - packet formulation of the full counting statistics to de"}
{"subject": "math:arxiv_129793", "predicate": "proves", "object": "the no - scalar - hair conjecture rules out the existence of asymptotically flat black holes with a "}
{"subject": "math:arxiv_129806", "predicate": "proves", "object": "in this paper we consider the problem of the calculus of variations for a functional which is the co"}
{"subject": "math:arxiv_129807", "predicate": "proves", "object": "in the first part of this article , we will prove an existence - uniqueness result for generalized s"}
{"subject": "math:arxiv_129826", "predicate": "proves", "object": "we investigate the solution space of hypergeometric systems of differential equations in the sense o"}
{"subject": "math:arxiv_129842", "predicate": "proves", "object": "from the microscopic quantum langevin equations ( qles ) we derive the effective semiconductor qles "}
{"subject": "math:arxiv_129845", "predicate": "proves", "object": "we study the constant mean curvature ( cmc ) hypersurfaces in @xmath0 whose asymptotic boundaries ar"}
{"subject": "math:arxiv_129849", "predicate": "proves", "object": "we formulate a theoretical model of the shear failure of a thin film tethered to a rigid substrate ."}
{"subject": "math:arxiv_129863", "predicate": "proves", "object": "properties of the logical reloading in the euclidean geometry are considered . \n the logical reloadi"}
{"subject": "math:arxiv_129865", "predicate": "proves", "object": "schrdinger equation with given , _ a priori _ known current is formulated . \n a non - zero current d"}
{"subject": "math:arxiv_129866", "predicate": "proves", "object": "graphons are analytic objects representing limits of convergent sequences of graphs . \n lovsz and sz"}
{"subject": "math:arxiv_129872", "predicate": "proves", "object": "we consider smoluchowski s coagulation equation with kernels of homogeneity one of the form @xmath0 "}
{"subject": "math:arxiv_129873", "predicate": "proves", "object": "in their article `` the shape of hyperbolic dehn surgery space , '' hodgson and kerckhoff proved a p"}
{"subject": "math:arxiv_129877", "predicate": "proves", "object": "this paper is an experimental exploration of the relationship between the runtimes of turing machine"}
{"subject": "math:arxiv_129882", "predicate": "proves", "object": "properties that are necessarily formulated within pure ( symmetric ) expectation values are difficul"}
{"subject": "math:arxiv_129884", "predicate": "proves", "object": "multiple reflection of x - rays may be important when an accretion disc and its hot corona have a co"}
{"subject": "math:arxiv_129893", "predicate": "proves", "object": "we develop a method for preserving pseudoholomorphic curves in contact @xmath0manifolds under surger"}
{"subject": "math:arxiv_129897", "predicate": "proves", "object": "we present a new first - principles theory of dynamic arrest in colloidal mixtures based on the mult"}
{"subject": "math:arxiv_129902", "predicate": "proves", "object": "a semiclassical model , based on a solution of the vlasov equation for finite systems with moving - "}
{"subject": "math:arxiv_129905", "predicate": "proves", "object": "in this note we construct mixed dimensional infinite soliton trains , which are solutions of nonline"}
{"subject": "math:arxiv_129925", "predicate": "proves", "object": "we study pseudoscalar and scalar mesons using a practical and symmetry preserving truncation of qcd "}
{"subject": "math:arxiv_129928", "predicate": "proves", "object": "we describe theoretically a setup in which a tapered optical nanofibre is introduced into an optical"}
{"subject": "math:arxiv_129936", "predicate": "proves", "object": "the nonlinear schrdinger equation is studied for a periodic sequence of delta - potentials ( a delta"}
{"subject": "math:arxiv_129946", "predicate": "proves", "object": "the main contributions of this paper are three - fold . \n first , we use a dynamic approach based on"}
{"subject": "math:arxiv_129954", "predicate": "proves", "object": "we consider the interaction between perturbations in the inflaton and in the metric during the prehe"}
{"subject": "math:arxiv_129971", "predicate": "proves", "object": "we develop a theory for quotients of geometries and obtain sufficient conditions for the quotient of"}
{"subject": "math:arxiv_129980", "predicate": "proves", "object": "in this paper we characterize hyperbolic geometry among hilbert geometry by the property that three "}
{"subject": "math:arxiv_129984", "predicate": "proves", "object": "we consider @xmath0-invariant integrable supersymmetric spin chains with twisted boundary conditions"}
{"subject": "math:arxiv_130021", "predicate": "proves", "object": "we study the curvaton scenario using gauge - invariant second order perturbation theory and solving "}
{"subject": "math:arxiv_130022", "predicate": "proves", "object": "the question for linear stability of spatially periodic waves for the boussinesq equation ( the case"}
{"subject": "math:arxiv_130024", "predicate": "proves", "object": "monge gauge in differential geometry is generalized . \n the original monge gauge is based on a surfa"}
{"subject": "math:arxiv_130037", "predicate": "proves", "object": "this paper deals with the issue of ecological bias in ecological inference . \n we provide an explici"}
{"subject": "math:arxiv_130058", "predicate": "proves", "object": "in this paper , we define the generalized bicomplex numbers and give some algebraic properties of th"}
{"subject": "math:arxiv_130075", "predicate": "proves", "object": "we propose a convex formulation of the fused lasso signal approximation problem consisting of non - "}
{"subject": "math:arxiv_130077", "predicate": "proves", "object": "equations of granular hydrostatics are used to compute the phase diagram of the recently discovered "}
{"subject": "math:arxiv_130084", "predicate": "proves", "object": "the shell model in the complex @xmath0-plane ( the so - called gamow shell model ) has recently been"}
{"subject": "math:arxiv_130096", "predicate": "proves", "object": "we present three novel forms of the monge  ampre equation , which is used , e.g. , in image processi"}
{"subject": "math:arxiv_130101", "predicate": "proves", "object": "multi - valley spin relaxation in @xmath0-type gaas quantum wells with in - plane electric field is "}
{"subject": "math:arxiv_130102", "predicate": "proves", "object": "we put forward and prove a simple theorem stating that the eigenvalues of a tridiagonal matrix chang"}
{"subject": "math:arxiv_130120", "predicate": "proves", "object": "a strong quantitative form of manin s conjecture is established for a certain variety in biprojectiv"}
{"subject": "math:arxiv_130129", "predicate": "proves", "object": "we derive the discrete version of the classical helmholtz condition . \n precisely , we state a theor"}
{"subject": "math:arxiv_130139", "predicate": "proves", "object": "within the framework of quantization of the macroscopic electromagnetic field , a master equation de"}
{"subject": "math:arxiv_130140", "predicate": "proves", "object": "we reanalyze the problem of radiative polarization of electrons brought into collision with a circul"}
{"subject": "math:arxiv_130160", "predicate": "proves", "object": "we report the first demonstration of a quantum game on an all - optical one - way quantum computer ."}
{"subject": "math:arxiv_130178", "predicate": "proves", "object": "low - density parity check ( ldpc ) codes are an important class of codes with many applications . \n"}
{"subject": "math:arxiv_130184", "predicate": "proves", "object": "if the assumption that physical space has a trivial topology is dropped , then the universe may be d"}
{"subject": "math:arxiv_130207", "predicate": "proves", "object": "we investigate the microlensing effects on a source star surrounded by a circumstellar disk , as a f"}
{"subject": "math:arxiv_130211", "predicate": "proves", "object": "we consider the mass concentration phenomenon for the @xmath0-critical nonlinear schrdinger equation"}
{"subject": "math:arxiv_130214", "predicate": "proves", "object": "an iterative algorithm is presented for solving the rpa equations of linear response . \n the method "}
{"subject": "math:arxiv_130238", "predicate": "proves", "object": "the multiparticle spacetime algebra ( msta ) is an extension of dirac theory to a multiparticle sett"}
{"subject": "math:arxiv_130244", "predicate": "proves", "object": "we discuss the non - zero baryon number formulation of qcd in the quenched limit at finite temperatu"}
{"subject": "math:arxiv_130263", "predicate": "proves", "object": "we investigate the problem of finding a pure spin - connection formulation of general relativity wit"}
{"subject": "math:arxiv_130264", "predicate": "proves", "object": "the dynamics of the second order rational difference equation @xmath0 with complex parameters @xmath"}
{"subject": "math:arxiv_130277", "predicate": "proves", "object": "the mechanism underlying the divergence of perturbation theory is exposed . \n this is done through a"}
{"subject": "math:arxiv_130297", "predicate": "proves", "object": "according to the hugenholtz - van hove theorem , nuclear symmetry energy and its slope at an arbitra"}
{"subject": "math:arxiv_130311", "predicate": "proves", "object": "by direct numerical simulation and variational solution of the gross - pitaevskii equation , we stud"}
{"subject": "math:arxiv_130315", "predicate": "proves", "object": "we investigate the performance of a quantum error - correcting code when pushed beyond its intended "}
{"subject": "math:arxiv_130331", "predicate": "proves", "object": "the equation of state ( eos ) , @xmath0 , is the most important parameter of dark energy . \n we reco"}
{"subject": "math:arxiv_130346", "predicate": "proves", "object": "we consider the role of the diffeomorphism constraint in the quantization of lattice formulations of"}
{"subject": "math:arxiv_130360", "predicate": "proves", "object": "in classical information theory one can , in principle , produce a perfect copy of any input state ."}
{"subject": "math:arxiv_130372", "predicate": "proves", "object": "we present a perturbation theory for studying the instabilities of non - axisymmetric gaseous discs "}
{"subject": "math:arxiv_130376", "predicate": "proves", "object": "we establish global existence , scattering for radial solutions to the energy - critical focusing ha"}
{"subject": "math:arxiv_130380", "predicate": "proves", "object": "we calculated bulk viscosity due to non - equilibrium weak processes in superfluid nucleon - hyperon"}
{"subject": "math:arxiv_130409", "predicate": "proves", "object": "extending work of foster , doyle , and others , we show how the foster theorems , a family of result"}
{"subject": "math:arxiv_130411", "predicate": "proves", "object": "we describe how the large scale geometry of the circumstellar envelopes of asymptotic giant branch s"}
{"subject": "math:arxiv_130414", "predicate": "proves", "object": "it is well known @xcite that an implicit equation of the offset to a rational planar curve can be co"}
{"subject": "math:arxiv_130416", "predicate": "proves", "object": "this chapter provides a comprehensive overview of the bohmian formulation of quantum mechanics . \n i"}
{"subject": "math:arxiv_130420", "predicate": "proves", "object": "when morris and thorne first proposed the possible existence of traversable wormholes , they adopted"}
{"subject": "math:arxiv_130428", "predicate": "proves", "object": "in this paper , with the corresponding formula for internal energy obtained in ref . \n @xcite , comb"}
{"subject": "math:arxiv_130447", "predicate": "proves", "object": "a model for @xmath0 string breaking on the lattice is formulated using strong coupling ideas . \n alt"}
{"subject": "math:arxiv_130451", "predicate": "proves", "object": "we investigate properties of the symmetry term in the equation - of - state ( eos ) of nuclear matte"}
{"subject": "math:arxiv_130452", "predicate": "proves", "object": "we study the temperature dependence of the effective bag constant , the mass , and the radius of a n"}
{"subject": "math:arxiv_130460", "predicate": "proves", "object": "in this work we investigate the advantages of multiscale methods in petrov - galerkin ( pg ) formula"}
{"subject": "math:arxiv_130467", "predicate": "proves", "object": "we quantify peter scott s theorem that surface groups are locally extended residually finite ( lerf "}
{"subject": "math:arxiv_130514", "predicate": "proves", "object": "we report on the experimental investigation of gluing bifurcations in the analog electronic circuit "}
{"subject": "math:arxiv_130516", "predicate": "proves", "object": "lubrication equations for a surfactant - driven flow of a thin layer of fluid are considered with a "}
{"subject": "math:arxiv_130526", "predicate": "proves", "object": "in this paper we revisit the problem of brownian motion in a tilted periodic potential . \n we use ho"}
{"subject": "math:arxiv_130530", "predicate": "proves", "object": "thermally activated magnetization decay is studied in ensembles of clusters of interacting dipolar m"}
{"subject": "math:arxiv_130533", "predicate": "proves", "object": "in this paper , we present the proof of superlensing an arbitrary object using complementary media a"}
{"subject": "math:arxiv_130534", "predicate": "proves", "object": "the pole placement problem asks to find laws to feed the output of a plant governed by a linear syst"}
{"subject": "math:arxiv_130590", "predicate": "proves", "object": "although unification can be used to implement a weak form of @xmath0-reduction , several linguistic "}
{"subject": "math:arxiv_130611", "predicate": "proves", "object": "a lagrangian formulation is given extending to @xmath0 supersymmetry the motion of a charged point p"}
{"subject": "math:arxiv_130619", "predicate": "proves", "object": "we prove that the value of the critical probability for percolation on an abelian cayley graph is de"}
{"subject": "math:arxiv_130623", "predicate": "proves", "object": "in this paper we define the torsion flow , a cr analogue of the ricci flow . for homogeneous cr mani"}
{"subject": "math:arxiv_130632", "predicate": "proves", "object": "in this paper , we give pinching theorems for the first nonzero eigenvalue @xmath0 of the laplacian "}
{"subject": "math:arxiv_130635", "predicate": "proves", "object": "we present the production cross - section of @xmath0-rays based on data of p - p collisions at the l"}
{"subject": "math:arxiv_130653", "predicate": "proves", "object": "a simple position probability density formulation is presented for the motion of a particle in a sph"}
{"subject": "math:arxiv_130657", "predicate": "proves", "object": "we apply the absorptive boundary prescription to include saturation effects in ccfm evolution equati"}
{"subject": "math:arxiv_130681", "predicate": "proves", "object": "we give a new proof of faran s and lebl s results by means of a new cr - geometric approach and clas"}
{"subject": "math:arxiv_130688", "predicate": "proves", "object": "following an initial explosion that might be launched either by magnetic interactions or neutrinos ,"}
{"subject": "math:arxiv_130693", "predicate": "proves", "object": "we study the spontaneous symmetry breaking ( ssb ) of a superfluid bose - fermi ( bf ) mixture in a "}
{"subject": "math:arxiv_130706", "predicate": "proves", "object": "we investigate the lorentz structure of the confinement potential through a study of the meson spect"}
{"subject": "math:arxiv_130731", "predicate": "proves", "object": "the goal of this paper is to give an efficient computation of the 3-point gromov - witten invariants"}
{"subject": "math:arxiv_130739", "predicate": "proves", "object": "a family of models for fluctuating loops in a two dimensional random background is analyzed . \n the "}
{"subject": "math:arxiv_130747", "predicate": "proves", "object": "we consider an extended version of the kerr theorem incorporated in the kerr - schild formalism . \n "}
{"subject": "math:arxiv_130770", "predicate": "proves", "object": "we illustrate , using a simple model , that in the usual formulation the time - component of the kle"}
{"subject": "math:arxiv_130779", "predicate": "proves", "object": "we present a comparison between simulated dynamics of the unitary fermion gas using the and a simpli"}
{"subject": "math:arxiv_130787", "predicate": "proves", "object": "formulating a schubert problem as the solutions to a system of equations in either plcker space or i"}
{"subject": "math:arxiv_130791", "predicate": "proves", "object": "we prove a version of the classical @xmath0-lemma for holomorphic families of riemann surfaces . \n w"}
{"subject": "math:arxiv_130795", "predicate": "proves", "object": "we review the appearance of hopf algebras in the renormalization of quantum field theories and in th"}
{"subject": "math:arxiv_130800", "predicate": "proves", "object": "the standard kronig - penney model with periodic @xmath0 potentials is extended to the cases with ge"}
{"subject": "math:arxiv_130803", "predicate": "proves", "object": "in this work improvements to the application of the gross equation to nuclear systems are tested . i"}
{"subject": "math:arxiv_130806", "predicate": "proves", "object": "the characteristic variety plays an important role in the analysis of the solution space of partial "}
{"subject": "math:arxiv_130812", "predicate": "proves", "object": "this paper introduces nucleus clustering in vorono tessellations of plane surfaces with applications"}
{"subject": "math:arxiv_130819", "predicate": "proves", "object": "the space - time symmetry group of a model of a relativistic spin 1/2 elementary particle , which sa"}
{"subject": "math:arxiv_130822", "predicate": "proves", "object": "in this paper we compute the generating function for the euler characteristic of the deligne - mumfo"}
{"subject": "math:arxiv_130831", "predicate": "proves", "object": "the treatment of the running qcd coupling in evolution equations is discussed . \n it is shown that t"}
{"subject": "math:arxiv_130840", "predicate": "proves", "object": "acoustic emission before the failure of heterogeneous materials is studied as a function of applied "}
{"subject": "math:arxiv_130847", "predicate": "proves", "object": "in this paper we study the generalized buckley - leverett equation with nonlocal regularizing terms "}
{"subject": "math:arxiv_130856", "predicate": "proves", "object": "we investigate four - quark systems consisting of two heavy anti - bottom quarks and two light up / "}
{"subject": "math:arxiv_130859", "predicate": "proves", "object": "understanding ballistic phonon transport effects in transient thermoreflectance experiments and expl"}
{"subject": "math:arxiv_130889", "predicate": "proves", "object": "we study stochastic convolutions providing by fundamental solutions of a class of integrodifferentia"}
{"subject": "math:arxiv_130910", "predicate": "proves", "object": "differential calculus on metric spaces is contained in the algebraic study of normed groupoids with "}
{"subject": "math:arxiv_130922", "predicate": "proves", "object": "in this work we develop some aspects of the theory of hopf algebras to the context of autonomous map"}
{"subject": "math:arxiv_130940", "predicate": "proves", "object": "in this paper we present a high - order kernel method for numerically solving diffusion and reaction"}
{"subject": "math:arxiv_130950", "predicate": "proves", "object": "the expected chirp mass distribution of observed events for future gravitational wave detectors is e"}
{"subject": "math:arxiv_130985", "predicate": "proves", "object": "we consider the flow - equations for the 3 slow - roll parameters @xmath0 ( scalar spectral index ) "}
{"subject": "math:arxiv_130991", "predicate": "proves", "object": "recently , several powerful tools for the reconstruction of stochastic differential equations from m"}
{"subject": "math:arxiv_130999", "predicate": "proves", "object": "a version of the bethe - salpeter equation appropriate for calculating recoil corrections in highly "}
{"subject": "math:arxiv_131020", "predicate": "proves", "object": "we consider wave equations on lorentzian manifolds in case of low regularity . \n we first extend the"}
{"subject": "math:arxiv_131025", "predicate": "proves", "object": "we describe the first version ( v1.00 ) of the code which solves the skyrme - hartree - fock or skyr"}
{"subject": "math:arxiv_131029", "predicate": "proves", "object": "in this study we discuss the shapes and statistics of the rogue ( freak ) waves emerging due to wave"}
{"subject": "math:arxiv_131042", "predicate": "proves", "object": "we perform a canonical quantization of gravity in a second - order formulation , taking as configura"}
{"subject": "math:arxiv_131045", "predicate": "proves", "object": "quartic spectrahedra in @xmath0-space form a semialgebraic set of dimension @xmath1 . \n this set is "}
{"subject": "math:arxiv_131065", "predicate": "proves", "object": "the motion of unstable fluid interface due to richtmyer - meshkov ( rm ) instability incorporating w"}
{"subject": "math:arxiv_131066", "predicate": "proves", "object": "by using the method of group analysis , we obtain a new exact evolving and spherically symmetric sol"}
{"subject": "math:arxiv_131079", "predicate": "proves", "object": "this paper discusses aspects of the second order hyperbolic partial differential equation associated"}
{"subject": "math:arxiv_131086", "predicate": "proves", "object": "we investigate the multi - soliton solutions to the generalized discrete kdv equation . in some case"}
{"subject": "math:arxiv_131107", "predicate": "proves", "object": "in optimal prediction methods one estimates the future behavior of underresolved systems by solving "}
{"subject": "math:arxiv_131111", "predicate": "proves", "object": "we discuss the alternative algebraic structures on the manifold of quantum states arising from alter"}
{"subject": "math:arxiv_131134", "predicate": "proves", "object": "in this article , we develop an intuitive and efficient , numerical technique to solve the quantum e"}
{"subject": "math:arxiv_131147", "predicate": "proves", "object": "recently we have developed a theory of keldysh formalism for mesoscopic systems . \n the resulting no"}
{"subject": "math:arxiv_131158", "predicate": "proves", "object": "we construct hyperbolic integer homology 3-spheres where the injectivity radius is arbitrarily large"}
{"subject": "math:arxiv_131159", "predicate": "proves", "object": "self - consistent solutions to the nonlinear spinor field equations in general relativity has been s"}
{"subject": "math:arxiv_131161", "predicate": "proves", "object": "we produce three vast classes of exact periodic and solitonic solutions to the one - dimensional gro"}
{"subject": "math:arxiv_131166", "predicate": "proves", "object": "a boundary integral formulation of electromagnetics that involves only the components of @xmath0 and"}
{"subject": "math:arxiv_131180", "predicate": "proves", "object": "a finite and unitary nonlocal formulation of quantum gravity is applied to the cosmological constant"}
{"subject": "math:arxiv_131193", "predicate": "proves", "object": "we describe high order accurate and stable finite difference schemes for the initial - boundary valu"}
{"subject": "math:arxiv_131205", "predicate": "proves", "object": "the no - cloning theorem states that an unknown quantum state can not be cloned exactly and determin"}
{"subject": "math:arxiv_131206", "predicate": "proves", "object": "this paper describes learning in a compiler for algorithms solving classes of the logic minimization"}
{"subject": "math:arxiv_131208", "predicate": "proves", "object": "one of the most important problems in the study of active galaxies is understanding the detailed geo"}
{"subject": "math:arxiv_131214", "predicate": "proves", "object": "we develop numerical homotopy algorithms for solving systems of polynomial equations arising from th"}
{"subject": "math:arxiv_131215", "predicate": "proves", "object": "we propose a new approximation scheme within equation of motion approach ( eom ) to spin polarized t"}
{"subject": "math:arxiv_131221", "predicate": "proves", "object": "two elementary formulae for mertens function @xmath0 are obtained . with these formulae , @xmath0 ca"}
{"subject": "math:arxiv_131222", "predicate": "proves", "object": "we prove collinear factorization theorem for the process @xmath0 at the twist-3 level in the covaria"}
{"subject": "math:arxiv_131224", "predicate": "proves", "object": "we formulate a lattice hamiltonian model for intermediate energy heavy ion collisions . our approach"}
{"subject": "math:arxiv_131225", "predicate": "proves", "object": "we present a mechanism for generating primordial magnetic fields with large correlation lengths on t"}
{"subject": "math:arxiv_131247", "predicate": "proves", "object": "we present a numerical study of the nonlinear system of @xmath0 equations of motion . \n the solution"}
{"subject": "math:arxiv_131260", "predicate": "proves", "object": "recently , the shell model in the complex @xmath0-plane ( the so - called gamow shell model ) has be"}
{"subject": "math:arxiv_131273", "predicate": "proves", "object": "we prove the existence of closed hypersurfaces of prescribed scalar curvature in globally hyperbolic"}
{"subject": "math:arxiv_131279", "predicate": "proves", "object": "the equation of state for quark matter is derived for a nonlocal , chiral quark model within the mea"}
{"subject": "math:arxiv_131294", "predicate": "proves", "object": "two symmetries of the local nonlinear @xmath0 gyrokinetic system of equations in tokamaks in the hig"}
{"subject": "math:arxiv_131308", "predicate": "proves", "object": "in a previous paper , we defined an operation @xmath0 that generalizes turaev s cobracket for loops "}
{"subject": "math:arxiv_131310", "predicate": "proves", "object": "the eigenvalue problem for a linear function @xmath0 centers on solving the eigen - equation @xmath1"}
{"subject": "math:arxiv_131338", "predicate": "proves", "object": "we study the suppression of reflections in the numerical simulation of the time - dependent schrding"}
{"subject": "math:arxiv_131372", "predicate": "proves", "object": "in this paper we consider dynamics of a self - graviting matter in flat space - time starting from t"}
{"subject": "math:arxiv_131386", "predicate": "proves", "object": "in this paper we propose and analyze an interior penalty discontinuous galerkin ( ip - dg ) method u"}
{"subject": "math:arxiv_131414", "predicate": "proves", "object": "magnetic eden clusters with ferromagnetic interaction between nearest - neighbor spins are grown in "}
{"subject": "math:arxiv_131423", "predicate": "proves", "object": "we propose a novel quasiparticle interpretation of the equation of state of deconfined qcd at finite"}
{"subject": "math:arxiv_131434", "predicate": "proves", "object": "dendrograms used in data analysis are ultrametric spaces , hence objects of nonarchimedean geometry "}
{"subject": "math:arxiv_131455", "predicate": "proves", "object": "we investigate the generalized kronecker algebra @xmath0 with @xmath1 arrows . given a regular compo"}
{"subject": "math:arxiv_131458", "predicate": "proves", "object": "in this work we present a technique of fast numerical computation for solutions of navier - stokes e"}
{"subject": "math:arxiv_131474", "predicate": "proves", "object": "we formulate and solve a two - state model for the elasticity of nicked , double - stranded dna that"}
{"subject": "math:arxiv_131475", "predicate": "proves", "object": "a variational framework is introduced to describe how a surface bends when it is subject to local co"}
{"subject": "math:arxiv_131487", "predicate": "proves", "object": "in this work we compute a versal deformation of the three dimensional nilpotent leibniz algebra over"}
{"subject": "math:arxiv_131500", "predicate": "proves", "object": "we develop a systematic approach to calculating the electrostatic force between point charges in an "}
{"subject": "math:arxiv_131509", "predicate": "proves", "object": "we construct a general measure for detecting the quantum speedup in both closed and open systems . \n"}
{"subject": "math:arxiv_131517", "predicate": "proves", "object": "we show that the problem of constructing telescopers for functions of  @xmath0 variables is equivale"}
{"subject": "math:arxiv_131521", "predicate": "proves", "object": "characteristic curves of a hamilton  jacobi equation can be seen as action minimizing trajectories o"}
{"subject": "math:arxiv_131526", "predicate": "proves", "object": "recently , rindler and ishak have argued that the bending of light is , in principle , changed by th"}
{"subject": "math:arxiv_131535", "predicate": "proves", "object": "the deterministic equations describing the dynamics of the atmosphere ( and of the climate system ) "}
{"subject": "math:arxiv_131583", "predicate": "proves", "object": "we compute 2-loop qcd corrections to the hard coefficient functions which arise in the factorization"}
{"subject": "math:arxiv_131591", "predicate": "proves", "object": "we present an optimization process to estimate parameters in systems of ordinary differential equati"}
{"subject": "math:arxiv_131595", "predicate": "proves", "object": "the low - lying dipole and quadrupole states in neutron rich nuclei , are studied within the fully s"}
{"subject": "math:arxiv_131597", "predicate": "proves", "object": "a degeneration of compact khler manifolds gives rise to a monodromy action on betti moduli space @xm"}
{"subject": "math:arxiv_131598", "predicate": "proves", "object": "a convex geometry is a closure space satisfying the anti - exchange axiom . for several types of alg"}
{"subject": "math:arxiv_131599", "predicate": "proves", "object": "recently , basel committee for banking supervision proposed to replace all approaches , including ad"}
{"subject": "math:arxiv_131619", "predicate": "proves", "object": "we propose a new framework for investigating two - flavor lattice qcd with finite temperature and de"}
{"subject": "math:arxiv_131620", "predicate": "proves", "object": "we discuss the moduli space of flat connections of yang - mills theories formulated on @xmath0 , wit"}
{"subject": "math:arxiv_131630", "predicate": "proves", "object": "the recent detection of resolved radio emission from ag dra by merlin reported by ogley et al . is d"}
{"subject": "math:arxiv_131643", "predicate": "proves", "object": "we study a hypergeometric function in two variables and a system of hypergeometric differential equa"}
{"subject": "math:arxiv_131657", "predicate": "proves", "object": "electron spin relaxation in graphene on a substrate is investigated from the microscopic kinetic spi"}
{"subject": "math:arxiv_131738", "predicate": "proves", "object": "using recently developed numerical methods , we examine neutral compactified non - uniform black str"}
{"subject": "math:arxiv_131747", "predicate": "proves", "object": "in this manuscript we give a short summary of recent physics results from phobos . \n particular emph"}
{"subject": "math:arxiv_131749", "predicate": "proves", "object": "we use topology of configuration spaces to give a characterization of neuwirth \n stallings pairs @xm"}
{"subject": "math:arxiv_131750", "predicate": "proves", "object": "we derive and solve kinetic equations for leptogenesis within the closed time path ( ctp ) formalism"}
{"subject": "math:arxiv_131757", "predicate": "proves", "object": "schubert polynomials were introduced in the context of the geometry of flag varieties . \n this paper"}
{"subject": "math:arxiv_131769", "predicate": "proves", "object": "higher - order solitons , as well as simple @xmath0-soliton solutions , of the gerdjikov - ivanov eq"}
{"subject": "math:arxiv_131781", "predicate": "proves", "object": "in this paper a comprehensive review is given on the current status of achievements in the geometric"}
{"subject": "math:arxiv_131812", "predicate": "proves", "object": "we generalize the kohn s theorem to the case of parabolic three - dimensional quantum dots in magnet"}
{"subject": "math:arxiv_131814", "predicate": "proves", "object": "we consider a non - trapping @xmath0-dimensional lorentzian manifold endowed with an end structure m"}
{"subject": "math:arxiv_131824", "predicate": "proves", "object": "we identify a quantum lift of the greedy basis for rank 2 coefficient - free cluster algebras . \n ou"}
{"subject": "math:arxiv_131825", "predicate": "proves", "object": "we study the first passage time ( fpt ) problem in levy type of anomalous diffusion . using \n the re"}
{"subject": "math:arxiv_131829", "predicate": "proves", "object": "we discuss an amazing prey  predator model with variable coefficients , analyze its predictions and "}
{"subject": "math:arxiv_131835", "predicate": "proves", "object": "a general formulation for describing odd - harmonic cosmic strings is developed and used to determin"}
{"subject": "math:arxiv_131848", "predicate": "proves", "object": "in a recent paper , it has been suggested that the schrdinger s equation might be slightly modified "}
{"subject": "math:arxiv_131874", "predicate": "proves", "object": "we study shatalov - sternin s proof of existence of resurgent solutions of a linear ode and discuss "}
{"subject": "math:arxiv_131877", "predicate": "proves", "object": "we employ the klemm - clem transformations to map the equations of motion for the green functions of"}
{"subject": "math:arxiv_131879", "predicate": "proves", "object": "we derive simple analytical formulae for the renormalization group running of neutrino masses , lept"}
{"subject": "math:arxiv_131916", "predicate": "proves", "object": "the question of how network topology influences emergent synchronized oscillations in excitable medi"}
{"subject": "math:arxiv_131922", "predicate": "proves", "object": "heegaard splittings and heegaard diagrams of a closed 3-manifold @xmath0 are translated into the lan"}
{"subject": "math:arxiv_131951", "predicate": "proves", "object": "we study quantum invariant @xmath0 for cusped hyperbolic 3-manifold @xmath1 . \n we construct this in"}
{"subject": "math:arxiv_131963", "predicate": "proves", "object": "it is well known that the strong subadditivity theorem is hold for classical system , but it is very"}
{"subject": "math:arxiv_131983", "predicate": "proves", "object": "we prove a generalization of the jordan canonical form theorem for a class of bounded linear operato"}
{"subject": "math:arxiv_131994", "predicate": "proves", "object": "a well - known conjecture asserts that , for any given positive real number @xmath0 and nonnegative "}
{"subject": "math:arxiv_132017", "predicate": "proves", "object": "a quantum mechanical wave of a finite size moves like a classical particle and shows unique decay pr"}
{"subject": "math:arxiv_132028", "predicate": "proves", "object": "the key properties of the wave propagation theory in the magntosphere of radio pulsars based on the "}
{"subject": "math:arxiv_132041", "predicate": "proves", "object": "in this article we give a general approach to the following analogue of shafarevich s conjecture for"}
{"subject": "math:arxiv_132046", "predicate": "proves", "object": "a polyhedral method to solve a system of polynomial equations exploits its sparse structure via the "}
{"subject": "math:arxiv_132071", "predicate": "proves", "object": "this article addresses the weak convergence of numerical methods for brownian dynamics . \n typical a"}
{"subject": "math:arxiv_132100", "predicate": "proves", "object": "we prove a neighbourhood theorem for arbitrary knots in contact @xmath0-manifolds . as an applicatio"}
{"subject": "math:arxiv_132109", "predicate": "proves", "object": "we study the coupled surface and grain boundary motion in a bicrystal in the context of the  quarter"}
{"subject": "math:arxiv_132114", "predicate": "proves", "object": "in this paper we give a survey of elliptic theory for operators associated with diffeomorphisms of s"}
{"subject": "math:arxiv_132119", "predicate": "proves", "object": "migdal s theorem plays a central role in the physics of electron - phonon interactions in metals and"}
{"subject": "math:arxiv_132135", "predicate": "proves", "object": "a multi - fermion interaction model is investigated in a compact spacetime with non - trivial topolo"}
{"subject": "math:arxiv_132143", "predicate": "proves", "object": "we formulate scattering in one dimension due to the coupled schrdinger equation in terms of the @xma"}
{"subject": "math:arxiv_132149", "predicate": "proves", "object": "in this paper , a space - time discontinuous galerkin finite element method for distributed optimal "}
{"subject": "math:arxiv_132164", "predicate": "proves", "object": "we consider a model of dirac fermions coupled to flexural phonons to describe a graphene sheet fluct"}
{"subject": "math:arxiv_132191", "predicate": "proves", "object": "we introduce a novel and general approach for digitalization of line segments in the plane that sati"}
{"subject": "math:arxiv_132192", "predicate": "proves", "object": "a _ lie system _ is a system of first - order ordinary differential equations describing the integra"}
{"subject": "math:arxiv_132203", "predicate": "proves", "object": "we formulate a generalized scattering field theory _  la _ bttiker describing particles transport in"}
{"subject": "math:arxiv_132209", "predicate": "proves", "object": "we introduce simple models for associative algebras and bimodules in the context of non - symmetric "}
{"subject": "math:arxiv_132213", "predicate": "proves", "object": "we identify the ring of odd symmetric functions introduced by ellis and khovanov as the space of ske"}
{"subject": "math:arxiv_132228", "predicate": "proves", "object": "this paper aims to justify the use of statistical mechanics tools in situations where the system is "}
{"subject": "math:arxiv_132229", "predicate": "proves", "object": "thermal unfolding of proteins is compared to folding and mechanical stretching in a simple topology "}
{"subject": "math:arxiv_132248", "predicate": "proves", "object": "quantum transport in disordered systems is studied using a polaron - based master equation . \n the p"}
{"subject": "math:arxiv_132251", "predicate": "proves", "object": "the geographical pattern of human dialects is a result of history . here , we formulate a simple spa"}
{"subject": "math:arxiv_132256", "predicate": "proves", "object": "we study the one - dimensional nonlinear schrdinger equation with the cubic - quintic combination of"}
{"subject": "math:arxiv_132274", "predicate": "proves", "object": "a study of sophie germain s extensive manuscripts on fermat s last theorem calls for a reassessment "}
{"subject": "math:arxiv_132281", "predicate": "proves", "object": "the double integral representing the entropy @xmath0 of spanning trees on a large triangular lattice"}
{"subject": "math:arxiv_132289", "predicate": "proves", "object": "in the original work by burnett the pressure tensor and the heat current contain two time derivates "}
{"subject": "math:arxiv_132290", "predicate": "proves", "object": "the article starts with generalizations of some classical results and new truncation error upper bou"}
{"subject": "math:arxiv_132308", "predicate": "proves", "object": "we show that the algorithm based on the weighted essentially nonoscillatory ( weno ) scheme with ant"}
{"subject": "math:arxiv_132314", "predicate": "proves", "object": "we give a quantum field theory interpretation of kontsevich s deformation quantization formula for p"}
{"subject": "math:arxiv_132316", "predicate": "proves", "object": "* abstract : * observing how long a dynamical system takes to return to some state is one of the mos"}
{"subject": "math:arxiv_132370", "predicate": "proves", "object": "let two heegaard splittings @xmath0 and @xmath1 of a @xmath2-manifold @xmath3 be given . \n we consid"}
{"subject": "math:arxiv_132376", "predicate": "proves", "object": "in this paper we give an explicit construction of a symplectic lefschetz fibration whose total space"}
{"subject": "math:arxiv_132398", "predicate": "proves", "object": "we consider partial sum rules for the homogeneous limit of the solution of the @xmath0-deformed kniz"}
{"subject": "math:arxiv_132403", "predicate": "proves", "object": "a numerical solution scheme for the einstein field equations based on generalized harmonic coordinat"}
{"subject": "math:arxiv_132407", "predicate": "proves", "object": "the invariant measure of a one - dimensional allen - cahn equation with an additive space - time whi"}
{"subject": "math:arxiv_132411", "predicate": "proves", "object": "we present a systematic and realistic simulation for single and double phosphorous donors in a silic"}
{"subject": "math:arxiv_132420", "predicate": "proves", "object": "in this work , we apply the factorization technique to the benjamin - bona - mahony like equations i"}
{"subject": "math:arxiv_132437", "predicate": "proves", "object": "motivated by recent experiments in optics and atomic physics , we derive an averaged nonlinear parti"}
{"subject": "math:arxiv_132443", "predicate": "proves", "object": "we study the impact of a hadron - quark phase transition on the maximum neutron - star mass . \n the "}
{"subject": "math:arxiv_132493", "predicate": "proves", "object": "ir and mm - wave emission from herbig ae / be stars has produced conflicting conclusions regarding t"}
{"subject": "math:arxiv_132523", "predicate": "proves", "object": "the four  quark system @xmath0 is studied in the framework of the constituent quark model . using di"}
{"subject": "math:arxiv_132533", "predicate": "proves", "object": "we introduce a graphical calculus for computing morphism spaces between the categorified spin networ"}
{"subject": "math:arxiv_132535", "predicate": "proves", "object": "levy - perdew - sahni ( lps ) provided a proof of the connection between the density and ionization "}
{"subject": "math:arxiv_132557", "predicate": "proves", "object": "in this paper , we study a class of quasilinear schrdinger equation of the form @xmath0 where @xmath"}
{"subject": "math:arxiv_132566", "predicate": "proves", "object": "we describe a general method for verifying inequalities between real - valued expressions , especial"}
{"subject": "math:arxiv_132569", "predicate": "proves", "object": "numerical relativity is finally approaching a state where the evolution of rather general ( 3 + 1)-d"}
{"subject": "math:arxiv_132573", "predicate": "proves", "object": "this paper develops the theoretical framework and the equations of a new robust generalized maximum "}
{"subject": "math:arxiv_132599", "predicate": "proves", "object": "we formulate elasticity theory with microrotations using the framework of gauge theories , which has"}
{"subject": "math:arxiv_132654", "predicate": "proves", "object": "we formulate a model for the steady state response of a nonlinear quantum oscillator structure , suc"}
{"subject": "math:arxiv_132656", "predicate": "proves", "object": "linearizing the heisenberg equations of motion around the ground state of an interacting quantum man"}
{"subject": "math:arxiv_132666", "predicate": "proves", "object": "recently , iancu and triantafyllopoulos have proposed a hierarchy of evolution equations in qcd at h"}
{"subject": "math:arxiv_132698", "predicate": "proves", "object": "we study the strang splitting scheme for quasilinear schrdinger equations . \n we establish the conve"}
{"subject": "math:arxiv_132701", "predicate": "proves", "object": "we propose and study discontinuous galerkin methods for strongly degenerate convection - diffusion e"}
{"subject": "math:arxiv_132702", "predicate": "proves", "object": "the quantum mechanical formula for mayer s second cluster integral for the gas of relativistic parti"}
{"subject": "math:arxiv_132703", "predicate": "proves", "object": "algorithms for binary classification based on adaptive tree partitioning are formulated and analyzed"}
{"subject": "math:arxiv_132711", "predicate": "proves", "object": "a method to estimate the reliability of a perturbative expansion of the stochastic inflationary lang"}
{"subject": "math:arxiv_132727", "predicate": "proves", "object": "using spectral invariants of dirac operators we construct a secondary version of the witten genus , "}
{"subject": "math:arxiv_132728", "predicate": "proves", "object": "the covariant descripion is constructed for the wick - type symbols on symplectic manifolds by means"}
{"subject": "math:arxiv_132732", "predicate": "proves", "object": "we study the kinetics of phase transitions in a rayleigh - benard system after onset of convection u"}
{"subject": "math:arxiv_132733", "predicate": "proves", "object": "we consider a finite element approximation for a system consisting of the evolution of a closed plan"}
{"subject": "math:arxiv_132739", "predicate": "proves", "object": "the kinetics of nonequilibrium bose - einstein condensates are considered within the framework of th"}
{"subject": "math:arxiv_132742", "predicate": "proves", "object": "binary particle coagulation can be modelled as the repeated random process of the combination of two"}
{"subject": "math:arxiv_132755", "predicate": "proves", "object": "we demonstrate the role of the mass asymmetry in the energy of vanishing flow by studying asymmetric"}
{"subject": "math:arxiv_132772", "predicate": "proves", "object": "the exact solution to the einstein equations that represents a static axially symmetric source defor"}
{"subject": "math:arxiv_132799", "predicate": "proves", "object": "we summarize several new developments in the nuclear equation of state for supernova simulations and"}
{"subject": "math:arxiv_132802", "predicate": "proves", "object": "it is widely believed that the pole mass of a quark is infrared - finite and gauge - independent to "}
{"subject": "math:arxiv_132809", "predicate": "proves", "object": "the realistic equation of state of strongly interacting matter , that has been successfully applied "}
{"subject": "math:arxiv_132814", "predicate": "proves", "object": "the hole - state random phase approximation ( hrpa ) and the particle - state random phase approxima"}
{"subject": "math:arxiv_132816", "predicate": "proves", "object": "this paper is a study of `` topological '' lower bounds for the chromatic number of a graph . \n such"}
{"subject": "math:arxiv_132886", "predicate": "proves", "object": "this article proposes a new approach for the design of low - dimensional suboptimal controllers to o"}
{"subject": "math:arxiv_132888", "predicate": "proves", "object": "this survey article is intended as an introduction to the recent categorical classification theorems"}
{"subject": "math:arxiv_132891", "predicate": "proves", "object": "here we show how an anisotropic fluid in the diffusion limit can be equivalent to an isotropic fluid"}
{"subject": "math:arxiv_132926", "predicate": "proves", "object": "the kondo problem is studied using the unitary lie algebra of spin - singlet fermion bilinears . in "}
{"subject": "math:arxiv_132937", "predicate": "proves", "object": "in these lecture notes we discuss recently conjectured instability of anti - de sitter space , resul"}
{"subject": "math:arxiv_132951", "predicate": "proves", "object": "the relation between the monopole transition strength and existence of cluster structure in the exci"}
{"subject": "math:arxiv_132956", "predicate": "proves", "object": "in this paper , we use entangled states to construct @xmath0-matrix representations of temperley - l"}
{"subject": "math:arxiv_132980", "predicate": "proves", "object": "we present a new class of exact nonsingular solutions for the maxwell equations in vacuum , which de"}
{"subject": "math:arxiv_132988", "predicate": "proves", "object": "we analyse an aloha - type random multiple - access protocol where users have local interactions . \n"}
{"subject": "math:arxiv_132993", "predicate": "proves", "object": "the classical boundary - value problem of the einstein field equations is studied with an arbitrary "}
{"subject": "math:arxiv_132998", "predicate": "proves", "object": "the cyclotomic trace of bkstedt - hsiang - madsen , the subject of bkstedt s lecture at the congress"}
{"subject": "math:arxiv_133002", "predicate": "proves", "object": "hatayama et al . conjectured fermionic formulas associated with tensor products of @xmath0-crystals "}
{"subject": "math:arxiv_133033", "predicate": "proves", "object": "the main result of this paper is a formula for calculating the seiberg - witten invariants of 4-mani"}
{"subject": "math:arxiv_133047", "predicate": "proves", "object": "using the framework of the covariant spectator theory ( cst ) @xcite we are developing a covariant m"}
{"subject": "math:arxiv_133050", "predicate": "proves", "object": "for every finitely generated abelian group @xmath0 , we construct an irreducible open @xmath1-manifo"}
{"subject": "math:arxiv_133076", "predicate": "proves", "object": "in 1971 trotter ( or bogart and trotter ) conjectured that every finite poset on at least @xmath0 po"}
{"subject": "math:arxiv_133086", "predicate": "proves", "object": "we consider a family of multi - phase stefan problems for a certain 1-d model of cell - to - cell ad"}
{"subject": "math:arxiv_133101", "predicate": "proves", "object": "we study different dimensional fluids inspired by noncommutative geometry which admit conformal kill"}
{"subject": "math:arxiv_133106", "predicate": "proves", "object": "pseudogap physics in strongly correlated systems is essentially scale dependent . \n we generalize th"}
{"subject": "math:arxiv_133120", "predicate": "proves", "object": "we present a method utilizing the continuity equation for the condensate density to make predictions"}
{"subject": "math:arxiv_133170", "predicate": "proves", "object": "the first two sections of this work review the framework of @xcite for approximate solutions of the "}
{"subject": "math:arxiv_133178", "predicate": "proves", "object": "mirkovi and vilonen discovered a canonical basis of algebraic cycles for the intersection homology o"}
{"subject": "math:arxiv_133179", "predicate": "proves", "object": "we associate with any simplicial complex @xmath0 and any integer @xmath1 a system of linear equation"}
{"subject": "math:arxiv_133198", "predicate": "proves", "object": "the set of all @xmath0-tuples of compatible full conditional distributions on discrete random variab"}
{"subject": "math:arxiv_133201", "predicate": "proves", "object": "we construct a calculus structure on the lie conformal algebra cochain complex . by restricting to d"}
{"subject": "math:arxiv_133210", "predicate": "proves", "object": "a novel method for a direct measurement of the exclusive @xmath0 branching ratios is here described "}
{"subject": "math:arxiv_133213", "predicate": "proves", "object": "let @xmath0 be a finite dimensional simple lie algebra . denote by @xmath1 the category of all bound"}
{"subject": "math:arxiv_133226", "predicate": "proves", "object": "we consider an ensemble of quantum systems whose average evolution is described by a density matrix "}
{"subject": "math:arxiv_133230", "predicate": "proves", "object": "we determine an explicit presentation by generators and relations of the cohomology algebra @xmath0 "}
{"subject": "math:arxiv_133239", "predicate": "proves", "object": "we have developed a new computer code , ram , to solve the conservative equations of special relativ"}
{"subject": "math:arxiv_133275", "predicate": "proves", "object": "strongly anisotropic critical systems are considered in a @xmath0-dimensional film geometry . \n such"}
{"subject": "math:arxiv_133280", "predicate": "proves", "object": "equations of state for strange quark matter in beta equilibrium at high densities are used to invest"}
{"subject": "math:arxiv_133290", "predicate": "proves", "object": "a simple transformation converts a solution of a partial differential equation with a dirichlet boun"}
{"subject": "math:arxiv_133303", "predicate": "proves", "object": "due to poinsot s theorem , the motion of a rigid body about a fixed point is represented as rolling "}
{"subject": "math:arxiv_133312", "predicate": "proves", "object": "we construct combined electric and magnetic field variables which independently represent energy flo"}
{"subject": "math:arxiv_133316", "predicate": "proves", "object": "application of integral equation theory to complex fluids is reviewed , with particular emphasis to "}
{"subject": "math:arxiv_133318", "predicate": "proves", "object": "this paper is a contribution to the problem of particle localization in non - relativistic quantum m"}
{"subject": "math:arxiv_133327", "predicate": "proves", "object": "two - dimensional magnetohydrodynamic simulations are performed using the zeus-2d code to investigat"}
{"subject": "math:arxiv_133330", "predicate": "proves", "object": "we study exact stationary properties of the one - dimensional kardar - parisi - zhang ( kpz ) equati"}
{"subject": "math:arxiv_133343", "predicate": "proves", "object": "we prove almost sharp upper bounds for the @xmath0 norms of eigenfunctions of the full ring of invar"}
{"subject": "math:arxiv_133364", "predicate": "proves", "object": "we derive the exact general form of the equation of state , in the fugacity format , for the two - d"}
{"subject": "math:arxiv_133382", "predicate": "proves", "object": "we investigate , from a spacetime perspective , some aspects of horowitz s recent conjecture that bl"}
{"subject": "math:arxiv_133389", "predicate": "proves", "object": "assuming that the actual values of @xmath0 at fnal and of @xmath1/@xmath2 at lep are within their cu"}
{"subject": "math:arxiv_133413", "predicate": "proves", "object": "the problem of matchmaking in electronic social networks is formulated as an optimization problem . "}
{"subject": "math:arxiv_133422", "predicate": "proves", "object": "using a cylindrical soliton solution to the four - dimensional vacuum einstein equation , we study n"}
{"subject": "math:arxiv_133424", "predicate": "proves", "object": "this paper introduces even triangulations of @xmath0dimensional pseudo - manifolds and links their c"}
{"subject": "math:arxiv_133439", "predicate": "proves", "object": "consider the heat kernel @xmath0 on the universal cover @xmath1 of a closed riemannian manifold of n"}
{"subject": "math:arxiv_133440", "predicate": "proves", "object": "we present a lattice boltzmann solution of the equations of motion describing the spreading of dropl"}
{"subject": "math:arxiv_133446", "predicate": "proves", "object": "deleting a hyperplane from a polar space associated with a symplectic polarity we get a specific , s"}
{"subject": "math:arxiv_133454", "predicate": "proves", "object": "using the inversion relation method , we calculate the ground state energy for the lattice integrabl"}
{"subject": "math:arxiv_133459", "predicate": "proves", "object": "we study travelling kinks in the spatial discretizations of the nonlinear klein  gordon equation , w"}
{"subject": "math:arxiv_133474", "predicate": "proves", "object": "we consider the mixing behaviour of the solutions of the continuity equation associated with a diver"}
{"subject": "math:arxiv_133477", "predicate": "proves", "object": "we discuss the noncommutative generalizations of polynomial algebras which after appropriate complet"}
{"subject": "math:arxiv_133480", "predicate": "proves", "object": "this paper considerers the problem of computing the value of a solution of the heat equation at a gi"}
{"subject": "math:arxiv_133486", "predicate": "proves", "object": "the open quantum system formulation of the nuclear shell model , the so - called gamow shell model ("}
{"subject": "math:arxiv_133502", "predicate": "proves", "object": "we describe a few properties of the non semi - simple associative algebra @xmath0 , where @xmath1 is"}
{"subject": "math:arxiv_133512", "predicate": "proves", "object": "we study conformal actions of connected nilpotent lie groups on compact pseudo - riemannian manifold"}
{"subject": "math:arxiv_133517", "predicate": "proves", "object": "the second h. weyl curvature invariant of a riemannian manifold , denoted @xmath0 , is the second cu"}
{"subject": "math:arxiv_133521", "predicate": "proves", "object": "we give a self  contained exposition of the combinatorial solution of quantum mechanical systems of "}
{"subject": "math:arxiv_133523", "predicate": "proves", "object": "we investigate the exact solution of the honeycomb model proposed by kitaev and derive an explicit f"}
{"subject": "math:arxiv_133530", "predicate": "proves", "object": "inverse problems lend themselves naturally to a bayesian formulation , in which the quantity of inte"}
{"subject": "math:arxiv_133541", "predicate": "proves", "object": "we study the phase structure of the abelian higgs model in three dimensions based on perturbation th"}
{"subject": "math:arxiv_133566", "predicate": "proves", "object": "we propose a simple , general , and accurate formula for analyzing the tunneling between classical c"}
{"subject": "math:arxiv_133584", "predicate": "proves", "object": "in this work , a second - order approximation of the fractional substantial derivative is presented "}
{"subject": "math:arxiv_133590", "predicate": "proves", "object": "we study the benjamin - ono hierarchy with positive initial data of a general type , in the limit wh"}
{"subject": "math:arxiv_133592", "predicate": "proves", "object": "we review progress on the generalized witten conjecture and some of its major ingredients . \n this c"}
{"subject": "math:arxiv_133594", "predicate": "proves", "object": "we examined the effect of an imaginary part of the ladder approximation schwinger - dyson equation ."}
{"subject": "math:arxiv_133595", "predicate": "proves", "object": "forman introduced discrete morse theory as a tool for studying cw complexes by collapsing them onto "}
{"subject": "math:arxiv_133600", "predicate": "proves", "object": "the capacitance of an arbitrarily shaped object is calculated with the same second - kind integral e"}
{"subject": "math:arxiv_133603", "predicate": "proves", "object": "a detailed description of topology of integrable billiard systems is given . \n for elliptical billia"}
{"subject": "math:arxiv_133608", "predicate": "proves", "object": "in this paper the numerical approximation of solutions of liouville - master equations for time - de"}
{"subject": "math:arxiv_133615", "predicate": "proves", "object": "we present a new , short proof of the increased regularity obtained by solutions to uniformly parabo"}
{"subject": "math:arxiv_133636", "predicate": "proves", "object": "plasmon modes of a two - dimensional lattice of long conducting circular wires are investigated by u"}
{"subject": "math:arxiv_133638", "predicate": "proves", "object": "the complete electroweak radiative @xmath0 corrections to the drell - yan process at large invariant"}
{"subject": "math:arxiv_133678", "predicate": "proves", "object": "the motion of a neutral atom endowed with a magnetic moment interacting with the magnetic field is d"}
{"subject": "math:arxiv_133684", "predicate": "proves", "object": "we study agents on a network playing an iterated prisoner s dilemma against their neighbors . \n the "}
{"subject": "math:arxiv_133686", "predicate": "proves", "object": "we present calculations of the correlation energies of crystalline solids and isolated systems withi"}
{"subject": "math:arxiv_133691", "predicate": "proves", "object": "the conventional fluid description of multi - component plasma , supplemented by an appropriate equa"}
{"subject": "math:arxiv_133693", "predicate": "proves", "object": "in this paper we develop two conforming finite element methods for a fourth order bi - wave equation"}
{"subject": "math:arxiv_133705", "predicate": "proves", "object": "two - body dirac equations of constraint dynamics provide a covariant framework to investigate the p"}
{"subject": "math:arxiv_133712", "predicate": "proves", "object": "we consider finite - dimensional complex lie algebras admitting a periodic derivation , i.e. , a non"}
{"subject": "math:arxiv_133713", "predicate": "proves", "object": "in this note , we present some connections between schiffer s conjecture , interior transmission eig"}
{"subject": "math:arxiv_133725", "predicate": "proves", "object": "the yang - baxter equation is an important tool in theoretical physics , with many applications in d"}
{"subject": "math:arxiv_133780", "predicate": "proves", "object": "existence and bifurcation results are derived for quasi periodic traveling waves of discrete nonline"}
{"subject": "math:arxiv_133790", "predicate": "proves", "object": "in this article we find the cosmological solutions of the massive conformal gravity field equations "}
{"subject": "math:arxiv_133822", "predicate": "proves", "object": "we apply orlov s equivalence to derive formulas for the betti numbers of maximal cohen - macaulay mo"}
{"subject": "math:arxiv_133823", "predicate": "proves", "object": "in this work we study the solutions of the equation  @xmath0 with nonzero complex  @xmath1 , integer"}
{"subject": "math:arxiv_133833", "predicate": "proves", "object": "we derive traditional thermodynamic bethe ansatz ( tba ) equations for the @xmath0 uimin - sutherlan"}
{"subject": "math:arxiv_133857", "predicate": "proves", "object": "the indefinite sign of the hamiltonian constraint means that solutions to einstein s equations must "}
{"subject": "math:arxiv_133867", "predicate": "proves", "object": "we give an explicit solution describing internal waves with a still water surface , modelling the de"}
{"subject": "math:arxiv_133874", "predicate": "proves", "object": "we present adaptive finite element simulations of dendritic and eutectic solidification in binary an"}
{"subject": "math:arxiv_133879", "predicate": "proves", "object": "a variational solution of the coupled electron - phonon boltzmann equations is used to calculate the"}
{"subject": "math:arxiv_133893", "predicate": "proves", "object": "we experiment with several new modifications to the baumgarte - shapiro - shibata - nakamura ( bssn "}
{"subject": "math:arxiv_133908", "predicate": "proves", "object": "we have examined a topology of 21 public transport networks in poland . \n our data exhibit several u"}
{"subject": "math:arxiv_133914", "predicate": "proves", "object": "the purpose of this article is to compute the normal form of a class of general quadratic hamiltonia"}
{"subject": "math:arxiv_133916", "predicate": "proves", "object": "we apply the bogoliubov compensation principle to qcd . \n the non - trivial solution of compensation"}
{"subject": "math:arxiv_133930", "predicate": "proves", "object": "the systematic approach to study bound states in quantum chromodynamics is presented . \n the method "}
{"subject": "math:arxiv_133935", "predicate": "proves", "object": "necessary conditions for various algebraic types of the weyl tensor are determined . \n these conditi"}
{"subject": "math:arxiv_133943", "predicate": "proves", "object": "we analyze the diffusion process associated to equations of wright - fisher type in one spatial dime"}
{"subject": "math:arxiv_133953", "predicate": "proves", "object": "in the framework of renormalization - group improved cosmologies , we analyze both theoretically and"}
{"subject": "math:arxiv_133962", "predicate": "proves", "object": "constructivity , in this context , refers to a theory of geometry whose axioms and language are clos"}
{"subject": "math:arxiv_133967", "predicate": "proves", "object": "experimental results on the formation of molecular hydrogen on amorphous silicate surfaces are prese"}
{"subject": "math:arxiv_133975", "predicate": "proves", "object": "a theory of allocation maps has been developed by j. f. feinstein and m. j. heath in order to prove "}
{"subject": "math:arxiv_133981", "predicate": "proves", "object": "recent applications of single - scale four - loop tadpoles are briefly reviewed . \n an algorithm for"}
{"subject": "math:arxiv_133996", "predicate": "proves", "object": "we construct a new class of vacuum black hole solutions whose geometry is deformed and twisted by th"}
{"subject": "math:arxiv_134011", "predicate": "proves", "object": "we consider here a recently proposed geometrical criterion for local instability based on the geodes"}
{"subject": "math:arxiv_134029", "predicate": "proves", "object": "the degeneracy and spatial support of pseudo - landau levels ( plls ) in strained honeycomb lattices"}
{"subject": "math:arxiv_134031", "predicate": "proves", "object": "the magnetization detection and switching of an ultrasmall stoner nanograin in a non - local spin va"}
{"subject": "math:arxiv_134035", "predicate": "proves", "object": "one can formulate the classical kepler problem on the heisenberg group , the simplest sub - riemanni"}
{"subject": "math:arxiv_134038", "predicate": "proves", "object": "we prove a theorem which bounds heegaard genus from below under special kinds of toroidal amalgamati"}
{"subject": "math:arxiv_134042", "predicate": "proves", "object": "we discuss 3-manifolds which are cyclic coverings of the 3-sphere , branched over 2-bridge knots and"}
{"subject": "math:arxiv_134052", "predicate": "proves", "object": "we review some of the geometry of the quantum projective plane with emphasis on the construction of "}
{"subject": "math:arxiv_134057", "predicate": "proves", "object": "we study the escape of cosmic - ray ( cr ) protons accelerated at a supernova remnant ( snr ) by num"}
{"subject": "math:arxiv_134086", "predicate": "proves", "object": "recently a purportedly novel solution of the vacuum einstein field equations was discovered : it sup"}
{"subject": "math:arxiv_134089", "predicate": "proves", "object": "@xmath0 chern - simons theory is quantized canonically on manifolds of the form @xmath1 , where @xma"}
{"subject": "math:arxiv_134096", "predicate": "proves", "object": "we consider a new fundamental question regarding the point - to - point memoryless channel . \n the s"}
{"subject": "math:arxiv_134098", "predicate": "proves", "object": "the noisy burgers equation in one spatial dimension is analyzed by means of the martin - siggia - ro"}
{"subject": "math:arxiv_134112", "predicate": "proves", "object": "we present a detailed study of the geometry , structure and energetics of carbon nanotube caps . \n w"}
{"subject": "math:arxiv_134134", "predicate": "proves", "object": "the general principles needed to compute the effect of a stationary gravitational field on the quasi"}
{"subject": "math:arxiv_134136", "predicate": "proves", "object": "we present an alternative proof of the alexander \n hirschowitz s theorem in dimension @xmath0 using "}
{"subject": "math:arxiv_134143", "predicate": "proves", "object": "we obtain an approximate solution @xmath0 of kepler s equation @xmath1 for any @xmath2 and @xmath3 $"}
{"subject": "math:arxiv_134144", "predicate": "proves", "object": "we show that the solutions of the wheeler - dewitt equation in a homogeneous and isotropic universe "}
{"subject": "math:arxiv_134161", "predicate": "proves", "object": "in this work , we perform the mathematical analysis of a coupled system of two reaction - diffusion "}
{"subject": "math:arxiv_134169", "predicate": "proves", "object": "we develop a theory for fluctuations and correlations in a gas evolving under ballistic annihilation"}
{"subject": "math:arxiv_134172", "predicate": "proves", "object": "we develop a geometric framework to study the structure and function of complex networks . \n we assu"}
{"subject": "math:arxiv_134178", "predicate": "proves", "object": "the article considers the successful implementation of relativistic equation - of - motion coupled c"}
{"subject": "math:arxiv_134245", "predicate": "proves", "object": "in this paper we construct a new kind of solutions , in particular the space - time - periodic solut"}
{"subject": "math:arxiv_134247", "predicate": "proves", "object": "the diffeomorphism symmetry of general relativity leads in the canonical formulation to constraints "}
{"subject": "math:arxiv_134275", "predicate": "proves", "object": "a simplified frequency integrated radiative transfer equation is solved to study compton scatterings"}
{"subject": "math:arxiv_134285", "predicate": "proves", "object": "the geodesic equation in the five - dimensional singly rotating black ring is non - integrable unlik"}
{"subject": "math:arxiv_134295", "predicate": "proves", "object": "we study the chiral phase transition of qcd at finite temperature and density by numerically solving"}
{"subject": "math:arxiv_134337", "predicate": "proves", "object": "we consider the graded space @xmath0 of syzygies for the coordinate algebra @xmath1 of projective va"}
{"subject": "math:arxiv_134398", "predicate": "proves", "object": "in this paper we use kuperberg s @xmath0-webs and khovanov s @xmath0-foams to define a new algebra @"}
{"subject": "math:arxiv_134409", "predicate": "proves", "object": "private quantum channels are the quantum analogue of the classical one - time pad . \n conditional ex"}
{"subject": "math:arxiv_134421", "predicate": "proves", "object": "we study the polarization characteristics of x - ray photons scattered by hydrogenic atoms , based o"}
{"subject": "math:arxiv_134424", "predicate": "proves", "object": "in this paper we study the local behavior of an algebraic curve under a geometric construction which"}
{"subject": "math:arxiv_134430", "predicate": "proves", "object": "we develop a theory of local asymptotic normality in the quantum domain based on a novel quantum ana"}
{"subject": "math:arxiv_134442", "predicate": "proves", "object": "we give an analysis of a continuation algorithm for the numerical solution of the force - based quas"}
{"subject": "math:arxiv_134448", "predicate": "proves", "object": "we solve the faddeev equations for the two meson - one baryon system @xmath0 and coupled channels us"}
{"subject": "math:arxiv_134455", "predicate": "proves", "object": "we formulate a quantum formalism for the statistical mechanical models of discretized field theories"}
{"subject": "math:arxiv_134462", "predicate": "proves", "object": "we describe an implementation for computing holomorphic and skew - holomorphic jacobi forms of integ"}
{"subject": "math:arxiv_134473", "predicate": "proves", "object": "this note contributes to the point calculus of persistent homology by extending alexander duality to"}
{"subject": "math:arxiv_134475", "predicate": "proves", "object": "from recent cmb and large scale structure observations the value of the equation of state of dark en"}
{"subject": "math:arxiv_134480", "predicate": "proves", "object": "the theorem like pontryagin s maximum principle for multiple integrals is proved . unlike the usual "}
{"subject": "math:arxiv_134503", "predicate": "proves", "object": "the purpose of this paper is to show that wormholes in noncommutative geometry can be macroscopic , "}
{"subject": "math:arxiv_134506", "predicate": "proves", "object": "using painlev analysis , the hirota multi - linear method and a direct ansatz technique , we study a"}
{"subject": "math:arxiv_134520", "predicate": "proves", "object": "we describe the geometry of the @xmath0 invariant half - bps m - theory configurations considered in"}
{"subject": "math:arxiv_134526", "predicate": "proves", "object": "we perform a fully relativistic calculation of the @xmath0 reaction in the impulse approximation emp"}
{"subject": "math:arxiv_134531", "predicate": "proves", "object": "the particle dynamics and shear forces of granular matter in a couette geometry are determined exper"}
{"subject": "math:arxiv_134549", "predicate": "proves", "object": "in this paper we give the complete classification of solitons for a cubic nls equation on the simple"}
{"subject": "math:arxiv_134556", "predicate": "proves", "object": "this article is based on  @xcite and  @xcite , where an approach based on taylor expansion and the s"}
{"subject": "math:arxiv_134557", "predicate": "proves", "object": "we discuss a spacetime having the topology of @xmath0 but with a different smoothness structure . \n "}
{"subject": "math:arxiv_134567", "predicate": "proves", "object": "using the continuous limit approximation in the dynamical system we study a nonlinear partial differ"}
{"subject": "math:arxiv_134570", "predicate": "proves", "object": "in this paper we find new solutions for the so called einstein - chern - simons friedmann - robertso"}
{"subject": "math:arxiv_134573", "predicate": "proves", "object": "the long time behavior of an initial step resulting in a dispersive shock wave ( dsw ) for the one -"}
{"subject": "math:arxiv_134589", "predicate": "proves", "object": "quantum analogues of the transient and steady - state fluctuation theorems are investigated for a ha"}
{"subject": "math:arxiv_134620", "predicate": "proves", "object": "the polyakov linear - sigma model ( plsm ) and hadron resonance gas ( hrg ) model are considered to "}
{"subject": "math:arxiv_134623", "predicate": "proves", "object": "we develop a semiclassical theory of the nondegenerate parametric amplification in a single miniband"}
{"subject": "math:arxiv_134624", "predicate": "proves", "object": "within the overlap framework , i derive the main formulae one finds today in papers touting a `` new"}
{"subject": "math:arxiv_134640", "predicate": "proves", "object": "in this expository paper we discuss a project regarding the string topology of a manifold , that was"}
{"subject": "math:arxiv_134643", "predicate": "proves", "object": "this paper proves a bottom - left placement theorem for the rectangle packing problem , stating that"}
{"subject": "math:arxiv_134644", "predicate": "proves", "object": "in the present work , we introduce a new @xmath0-symmetric variant of the klein - gordon field theor"}
{"subject": "math:arxiv_134667", "predicate": "proves", "object": "the dressing method based on @xmath0 matrix @xmath1-problem is extended to study the long - short wa"}
{"subject": "math:arxiv_134677", "predicate": "proves", "object": "we study the near - flat space limit for strings on @xmath0 , where the internal manifold @xmath1 is"}
{"subject": "math:arxiv_134683", "predicate": "proves", "object": "half - metallic ferromagnetic full - heusler alloys containing co and mn , having the formula co@xma"}
{"subject": "math:arxiv_134693", "predicate": "proves", "object": "the key formula for computing the orbital magnetization of a crystalline system has been recently fo"}
{"subject": "math:arxiv_134710", "predicate": "proves", "object": "we study the cosmological scenario arising from the dynamics of a generalized chaplygin gas . \n the "}
{"subject": "math:arxiv_134725", "predicate": "proves", "object": "let @xmath0 be a smooth flow on a smooth manifold @xmath1 and @xmath2 be the group of diffeomorphism"}
{"subject": "math:arxiv_134740", "predicate": "proves", "object": "we show that the renormalized quantum invariants of links and graphs in the 3-sphere , derived from "}
{"subject": "math:arxiv_134741", "predicate": "proves", "object": "this paper is motivated by a gauged schrdinger equation in dimension 2 including the so - called che"}
{"subject": "math:arxiv_134751", "predicate": "proves", "object": "the wilson fermion determinant can be written as product of the determinants of two hermitian positi"}
{"subject": "math:arxiv_134752", "predicate": "proves", "object": "we study flavor structure and the coupling selection rule in intersecting d - brane configurations ."}
{"subject": "math:arxiv_134772", "predicate": "proves", "object": "it is shown that a bessel - like behaviour of the structure function @xmath0 at small @xmath1 , obta"}
{"subject": "math:arxiv_134785", "predicate": "proves", "object": "we study the local zeta functions of an algebraic group @xmath0 defined over @xmath1 together with a"}
{"subject": "math:arxiv_134800", "predicate": "proves", "object": "we present a new collocated numerical scheme for the approximation of the navier - stokes and energy"}
{"subject": "math:arxiv_134835", "predicate": "proves", "object": "a system of renewal equations on a graph provides a framework to describe the exploitation of a biol"}
{"subject": "math:arxiv_134876", "predicate": "proves", "object": "the bogomolov conjecture for a curve claims finiteness of algebraic points on the curve which are sm"}
{"subject": "math:arxiv_134899", "predicate": "proves", "object": "aberration and radiation pressure reflected by a moving mirror are examples of the klein , one - way"}
{"subject": "math:arxiv_134921", "predicate": "proves", "object": "integer programs defined by two equations with two free integer variables and nonnegative continuous"}
{"subject": "math:arxiv_134937", "predicate": "proves", "object": "counterfactual definiteness must be used as at least one of the postulates or axioms that are necess"}
{"subject": "math:arxiv_134941", "predicate": "proves", "object": "brownian motion ; entropic transport ; fick - jacobs equation biased diffusive transport of brownian"}
{"subject": "math:arxiv_134943", "predicate": "proves", "object": "it is shown analytically that the dirac equation has no normalizable , time - periodic solutions in "}
{"subject": "math:arxiv_134948", "predicate": "proves", "object": "the purpose of the present paper is to introduce and explore two surprises that arise when we apply "}
{"subject": "math:arxiv_134957", "predicate": "proves", "object": "we study the conjecture of jarque and villadelprat stating that every center of a planar polynomial "}
{"subject": "math:arxiv_134959", "predicate": "proves", "object": "this paper concerns the reconstruction of a diffusion coefficient in an elliptic equation from knowl"}
{"subject": "math:arxiv_134972", "predicate": "proves", "object": "using @xmath0 field theory and monte carlo ( mc ) simulation we investigate the finite - size effect"}
{"subject": "math:arxiv_134988", "predicate": "proves", "object": "for the potts model on the cayley tree , some explicit formulae of the free energies and entropies ("}
{"subject": "math:arxiv_135003", "predicate": "proves", "object": "we present a simplified analysis using equations for the charge flow , which include @xmath0 capture"}
{"subject": "math:arxiv_135005", "predicate": "proves", "object": "we describe all poisson brackets compatible with the natural cluster algebra structure in the open s"}
{"subject": "math:arxiv_135007", "predicate": "proves", "object": "in response to criticism by @xcite , that the recently - identified canis major ( cma ) overdensity "}
{"subject": "math:arxiv_135016", "predicate": "proves", "object": "the lovsz local lemma ( lll ) is a probabilistic principle which has been used in a variety of combi"}
{"subject": "math:arxiv_135017", "predicate": "proves", "object": "akbulut and kirby conjectured that two knots with the same @xmath0-surgery are concordant . in this "}
{"subject": "math:arxiv_135019", "predicate": "proves", "object": "we provide the representation of quasi - periodic solutions of periodic dirac equations in terms of "}
{"subject": "math:arxiv_135021", "predicate": "proves", "object": "we establish bounds on the energy of a system of @xmath0 identical bosons bound by attractive pair p"}
{"subject": "math:arxiv_135022", "predicate": "proves", "object": "the feynman diagram generator and the computer algebra program allow for an automatic computation of"}
{"subject": "math:arxiv_135051", "predicate": "proves", "object": "we introduce a new method for solving maximum likelihood problems through variational calculus , and"}
{"subject": "math:arxiv_135055", "predicate": "proves", "object": "we improve the answer to the question : _ what set of excluded middles for propositional variables i"}
{"subject": "math:arxiv_135077", "predicate": "proves", "object": "we present the numerical solution of the renormalization group ( rg ) equations derived in ref . \n ,"}
{"subject": "math:arxiv_135089", "predicate": "proves", "object": "we formulate the interaction between the communicating nodes and an adversary within a game - theore"}
{"subject": "math:arxiv_135107", "predicate": "proves", "object": "a semi - empirical , axisymmetric model of the solar minimum corona is developed by solving the equa"}
{"subject": "math:arxiv_135122", "predicate": "proves", "object": "we consider the lower central filtration of the free associative algebra @xmath0 with @xmath1 genera"}
{"subject": "math:arxiv_135129", "predicate": "proves", "object": "the theorem of bell states that certain results of quantum mechanics violate inequalities that are v"}
{"subject": "math:arxiv_135158", "predicate": "proves", "object": "using the falcone  takesaki theory of noncommutative integration , we construct a family of noncommu"}
{"subject": "math:arxiv_135167", "predicate": "proves", "object": "we develop mean - field kinetic equations for a lattice gas model of a binary alloy with vacancies ("}
{"subject": "math:arxiv_135201", "predicate": "proves", "object": "we start from any small strict monoidal braided ab - category and extend it to a monoidal nonstrict "}
{"subject": "math:arxiv_135226", "predicate": "proves", "object": "we introduce _ c - algebras _ of compact riemann surfaces @xmath0 as non - commutative analogues of "}
{"subject": "math:arxiv_135229", "predicate": "proves", "object": "the problem of bound states in effective field theories is studied . a rescaled version of nonrelati"}
{"subject": "math:arxiv_135233", "predicate": "proves", "object": "the relativistic outflows from gamma - ray bursts are now thought to be narrowly collimated into jet"}
{"subject": "math:arxiv_135263", "predicate": "proves", "object": "we derive a numerical algorithm for evaluating the riemannian logarithm on the stiefel manifold with"}
{"subject": "math:arxiv_135269", "predicate": "proves", "object": "we consider the riemann manifold hamiltonian monte carlo ( rmhmc ) method for solving statistical in"}
{"subject": "math:arxiv_135301", "predicate": "proves", "object": "* abstract : * the faddeev equation for three - body scattering at arbitrary energies is formulated "}
{"subject": "math:arxiv_135305", "predicate": "proves", "object": "using a parameterised function for the mass loss at the base of the post - shock region , we have co"}
{"subject": "math:arxiv_135317", "predicate": "proves", "object": "a general pedagogical survey of the basics of the bethe - salpeter equation and in particular wick -"}
{"subject": "math:arxiv_135327", "predicate": "proves", "object": "in this short contribution we will review the quantization of @xmath0 spinning particles with comple"}
{"subject": "math:arxiv_135338", "predicate": "proves", "object": "in this article a closed - form for the maximum likelihood estimate of algebraic statistical models "}
{"subject": "math:arxiv_135349", "predicate": "proves", "object": "we describe an algorithm , meant to be very general , to compute a presentation of the group of unit"}
{"subject": "math:arxiv_135361", "predicate": "proves", "object": "for a nonsingular real algebraic curve in the 3-dimensional projective space and sphere a new numeri"}
{"subject": "math:arxiv_135377", "predicate": "proves", "object": "we give a proof of darboux s conjecture that every darboux transformation of arbitrary order of a 2d"}
{"subject": "math:arxiv_135395", "predicate": "proves", "object": "we derive the trial hall resistance formula for the quantum hall metals to address both the integer "}
{"subject": "math:arxiv_135411", "predicate": "proves", "object": "we consider the focusing nonlinear schrdinger equation , in the @xmath0-critical and supercritical c"}
{"subject": "math:arxiv_135431", "predicate": "proves", "object": "the full configuration interaction quantum monte carlo ( fciqmc ) method has proved able to provide "}
{"subject": "math:arxiv_135433", "predicate": "proves", "object": "the generalized master equation or the equivalent continuous time random walk equations can be used "}
{"subject": "math:arxiv_135448", "predicate": "proves", "object": "we study the properties of one - dimensional hypergeometric integral solutions of the @xmath0-differ"}
{"subject": "math:arxiv_135458", "predicate": "proves", "object": "we study the location and the size of the roots of steiner polynomials of convex bodies in the minko"}
{"subject": "math:arxiv_135478", "predicate": "proves", "object": "approximate analytical solution of two dimensional problem for stationary navier - stokes , continui"}
{"subject": "math:arxiv_135509", "predicate": "proves", "object": "conformation dependent circular current is investigated in a single handed helical geometry in prese"}
{"subject": "math:arxiv_135510", "predicate": "proves", "object": "the method for obtaining functional equations , recently proposed by one of the authors @xcite , is "}
{"subject": "math:arxiv_135516", "predicate": "proves", "object": "i construct combined electric and magnetic field variables which independently represent energy flow"}
{"subject": "math:arxiv_135528", "predicate": "proves", "object": "we examine numerically vortex families near band edges of the bloch wave spectrum in the gross  pita"}
{"subject": "math:arxiv_135547", "predicate": "proves", "object": "we study the cosmological evolutions of the equation of state for dark energy @xmath0 in the exponen"}
{"subject": "math:arxiv_135554", "predicate": "proves", "object": "we show that an exact lagrangian cobordism @xmath0 from a legendrian submanifold @xmath1 to itself s"}
{"subject": "math:arxiv_135560", "predicate": "proves", "object": "we study a dipolar boson - fermion mixture in a pancake geometry at absolute zero temperature , gene"}
{"subject": "math:arxiv_135571", "predicate": "proves", "object": "a general method is proposed which allows one to estimate drift and diffusion coefficients of a stoc"}
{"subject": "math:arxiv_135573", "predicate": "proves", "object": "in this work , we demonstrate the inappropriateness of the boltzmann - gibbs log - formulation of th"}
{"subject": "math:arxiv_135576", "predicate": "proves", "object": "we use the joint measurement of geometry and growth from anisotropic galaxy clustering in the baryon"}
{"subject": "math:arxiv_135586", "predicate": "proves", "object": "we consider the stationary hamilton - jacobi equation @xmath0 ^ 2       \\nonumber\\ ] ] where @xmath1"}
{"subject": "math:arxiv_135589", "predicate": "proves", "object": "we analyze the spatially semidiscrete piecewise linear finite element method for a nonlocal paraboli"}
{"subject": "math:arxiv_135622", "predicate": "proves", "object": "for @xmath0 odd primes , we examine @xmath1-covers of the projective line branched at one point over"}
{"subject": "math:arxiv_135644", "predicate": "proves", "object": "let @xmath0 be families of entire functions , holomorphically parametrized by a complex manifold @xm"}
{"subject": "math:arxiv_135667", "predicate": "proves", "object": "we study open spin chains based on rational @xmath0 and @xmath1 @xmath2-matrices . \n we classify the"}
{"subject": "math:arxiv_135671", "predicate": "proves", "object": "cylindrical algebraic decomposition ( cad ) is a key tool for problems in real algebraic geometry an"}
{"subject": "math:arxiv_135672", "predicate": "proves", "object": "in this paper we develop an evolution of the @xmath0 virtual elements of minimal degree for the appr"}
{"subject": "math:arxiv_135676", "predicate": "proves", "object": "in this paper we extend first the bismut - lott s analytic torsion form for flat vector bundles to t"}
{"subject": "math:arxiv_135677", "predicate": "proves", "object": "we study chaotic eigenfunctions in wedge - shaped and rectangular regions using a generalization of "}
{"subject": "math:arxiv_135683", "predicate": "proves", "object": "we propose a method to obtain floquet states  also known as light - induced states  and their quasi "}
{"subject": "math:arxiv_135697", "predicate": "proves", "object": "we investigate the problem of reheating and its effects on the evolution of the curvature perturbati"}
{"subject": "math:arxiv_135707", "predicate": "proves", "object": "strong typicality and the markov lemma have been used in the proofs of several multiterminal source "}
{"subject": "math:arxiv_135710", "predicate": "proves", "object": "we propose a general control framework for two - phase flows with variable densities in the diffuse "}
{"subject": "math:arxiv_135711", "predicate": "proves", "object": "we improve the calculation of nozawa , itoh , and kohyama ( 1998 ) to provide a formula for relativi"}
{"subject": "math:arxiv_135718", "predicate": "proves", "object": "we give a natural monomorphism from the necklace lie coalgebra , defined for any quiver , to connes "}
{"subject": "math:arxiv_135749", "predicate": "proves", "object": "in 1995 , best et al . published a formula for the exact bit error probability for viterbi decoding "}
{"subject": "math:arxiv_135758", "predicate": "proves", "object": "we describe some recent results on existence of quasi - periodic solutions of hamiltonian pdes on co"}
{"subject": "math:arxiv_135775", "predicate": "proves", "object": "in this paper , we investigate the ( 2 + 1 ) dimensional long wave - short wave resonance interactio"}
{"subject": "math:arxiv_135781", "predicate": "proves", "object": "_ popularity is attractive _  @xcite  this is the formula underlying preferential attachment  @xcite"}
{"subject": "math:arxiv_135785", "predicate": "proves", "object": "we study the stability of three analytical solutions of the einstein s field equations for spheres o"}
{"subject": "math:arxiv_135793", "predicate": "proves", "object": "seien @xmath0 ein imaginrquadratischer zahlkrper , @xmath1 , @xmath2 zwei rationale quaternionenalge"}
{"subject": "math:arxiv_135802", "predicate": "proves", "object": "we show how the quantum trace map of bonahon and wong can be constructed in a natural way using the "}
{"subject": "math:arxiv_135814", "predicate": "proves", "object": "the nematic - superconductor state is an example of a quantum liquid crystal that breaks gauge as we"}
{"subject": "math:arxiv_135817", "predicate": "proves", "object": "after glvez , martnez and miln discovered a ( weierstrass - type ) holomorphic representation formul"}
{"subject": "math:arxiv_135827", "predicate": "proves", "object": "we discuss the consequences of higher derivative lagrangians of the form @xmath0 , @xmath1 , @xmath2"}
{"subject": "math:arxiv_135828", "predicate": "proves", "object": "we resurrect eddington s proposal for the gravitational action in the presence of a cosmological con"}
{"subject": "math:arxiv_135854", "predicate": "proves", "object": "we compute the equation of the @xmath0-secant variety to the veronese variety @xmath1 , its degree i"}
{"subject": "math:arxiv_135855", "predicate": "proves", "object": "this paper gives two results on the simple modules for the brauer algebra over the complex field . \n"}
{"subject": "math:arxiv_135875", "predicate": "proves", "object": "we derive a closed equation of motion for the current density of an inhomogeneous quantum many - bod"}
{"subject": "math:arxiv_135880", "predicate": "proves", "object": "a new representation for a regular solution of the perturbed bessel equation of the form @xmath0 is "}
{"subject": "math:arxiv_135886", "predicate": "proves", "object": "solving the 4-d einstein equations as evolution in time requires solving equations of two types : th"}
{"subject": "math:arxiv_135896", "predicate": "proves", "object": "we present new formulae for the matrix elements of one - body and two - body physical operators , wh"}
{"subject": "math:arxiv_135908", "predicate": "proves", "object": "we prove that every symplectic toric orbifold is a centered reduction of a cartesian product of weig"}
{"subject": "math:arxiv_135933", "predicate": "proves", "object": "formulating consistent theories describing strongly correlated metallic topological phases is an out"}
{"subject": "math:arxiv_135939", "predicate": "proves", "object": "we study the structure of a shock wave for a two- , three- and four - component gas mixture on the b"}
{"subject": "math:arxiv_135943", "predicate": "proves", "object": "a diagrammatic theory around atomic limit is proposed for normal state of anderson impurity model . "}
{"subject": "math:arxiv_135950", "predicate": "proves", "object": "this paper applies several well - known tricks from the numerical treatment of deterministic differe"}
{"subject": "math:arxiv_135955", "predicate": "proves", "object": "we present and analyze a finite volume scheme of arbitrary order for elliptic equations in the one -"}
{"subject": "math:arxiv_135957", "predicate": "proves", "object": "firstly , the markovian stochastic schrdinger equations are presented , together with their connecti"}
{"subject": "math:arxiv_135962", "predicate": "proves", "object": "we consider the generic problem of suddenly changing the geometry of an integrable , one - dimension"}
{"subject": "math:arxiv_135964", "predicate": "proves", "object": "let @xmath0 be a poisson algebra and @xmath1 its quasi - poisson enveloping algebra . in this paper "}
{"subject": "math:arxiv_135997", "predicate": "proves", "object": "the concept of @xmath0-difference operator for functions of partitions is introduced to prove a gene"}
{"subject": "math:arxiv_136014", "predicate": "proves", "object": "we introduce a complete analytical and numerical study of the modulational instability process in a "}
{"subject": "math:arxiv_136015", "predicate": "proves", "object": "we study the stability of vortex - lines in trapped dilute gases subject to rotation . \n we solve nu"}
{"subject": "math:arxiv_136018", "predicate": "proves", "object": "in @xcite , connected analytic 1-dimensional submanifolds with boundary have been classified w.r.t ."}
{"subject": "math:arxiv_136033", "predicate": "proves", "object": "dialectica categories are a very versatile categorical model of linear logic . \n these have been use"}
{"subject": "math:arxiv_136061", "predicate": "proves", "object": "we present a symmetry classification of the linearised navier - stokes equations for a two - dimensi"}
{"subject": "math:arxiv_136064", "predicate": "proves", "object": "simulations of the coevolution of many interacting species are performed using the webworld model . "}
{"subject": "math:arxiv_136065", "predicate": "proves", "object": "generalized geometry provides the framework for a systematic approach to non - symmetric metric grav"}
{"subject": "math:arxiv_136075", "predicate": "proves", "object": "we present a new approach to formulating open superstring field theory based on the covering of the "}
{"subject": "math:arxiv_136086", "predicate": "proves", "object": "in the study of open quantum systems , one typically obtains the decoherence dynamics by solving a m"}
{"subject": "math:arxiv_136091", "predicate": "proves", "object": "we compare the wmap temperature power spectrum and snia data to models with a generalized chaplygin "}
{"subject": "math:arxiv_136092", "predicate": "proves", "object": "a class of cw - complexes , called self - similar complexes , is introduced , together with c@xmath0"}
{"subject": "math:arxiv_136109", "predicate": "proves", "object": "we will show that the bilinear cup products with local coefficients of closed 3-manifolds recovers s"}
{"subject": "math:arxiv_136112", "predicate": "proves", "object": "a cosmological description of the universe is proposed in the context of hamiltonian formulation of "}
{"subject": "math:arxiv_136113", "predicate": "proves", "object": "an important question with a rich history is the extent to which the symplectic category is larger t"}
{"subject": "math:arxiv_136114", "predicate": "proves", "object": "a solution for the mathematical problem of functional calculus with laplace - beltrami operator on s"}
{"subject": "math:arxiv_136127", "predicate": "proves", "object": "the cardassian universe is a proposed modification to the friedmann equation in which the universe i"}
{"subject": "math:arxiv_136134", "predicate": "proves", "object": "brauer tree algebras are important and fundamental blocks in the modular representation theory of gr"}
{"subject": "math:arxiv_136183", "predicate": "proves", "object": "we derive a quantum master equation which describes the dynamics of the ensemble - averaged state of"}
{"subject": "math:arxiv_136203", "predicate": "proves", "object": "we show that the classical and strongly coupled qgp ( cqgp ) is characterized by a multiple of struc"}
{"subject": "math:arxiv_136205", "predicate": "proves", "object": "lattice boltzmann simulations have been very successful in simulating liquid - gas and other multi -"}
{"subject": "math:arxiv_136224", "predicate": "proves", "object": "combining conservation of energy throughout nearly - spherical collapse of galaxy clusters with the "}
{"subject": "math:arxiv_136228", "predicate": "proves", "object": "most quantum states have wavefunctions that are widely spread over the accessible hilbert space and "}
{"subject": "math:arxiv_136238", "predicate": "proves", "object": "we introduce an algebraic formula producing infinitely many exact solutions of the constant astigmat"}
{"subject": "math:arxiv_136248", "predicate": "proves", "object": "we present evidence in support of a conjecture that a bipartite graph with at least five vertices in"}
{"subject": "math:arxiv_136266", "predicate": "proves", "object": "quantum decay rates for barrier potentials driven by external stochastic and periodic forces in the "}
{"subject": "math:arxiv_136279", "predicate": "proves", "object": "we present some results on the radiative signatures of the one zone hadronic model . for this \n we h"}
{"subject": "math:arxiv_136287", "predicate": "proves", "object": "we consider an equation modeling the evolution of a viscous liquid thin film wetting a horizontal so"}
{"subject": "math:arxiv_136293", "predicate": "proves", "object": "the probability content of a convex polyhedron with a multivariate normal distribution can be regard"}
{"subject": "math:arxiv_136313", "predicate": "proves", "object": "several authors have recently explored the idea that physical constants such as @xmath0 and @xmath1 "}
{"subject": "math:arxiv_136324", "predicate": "proves", "object": "given a riemannian surface , we consider a naturally embedded graph which captures part of the topol"}
{"subject": "math:arxiv_136337", "predicate": "proves", "object": "we construct exact stationary solutions to the one - dimensional coupled gross - pitaevskii equation"}
{"subject": "math:arxiv_136344", "predicate": "proves", "object": "we investigate the critical behavior of pion superfluidity in the frame of functional renormalizatio"}
{"subject": "math:arxiv_136355", "predicate": "proves", "object": "we study the geodesics on an invariant surface of a three dimensional riemannian manifold . \n the ma"}
{"subject": "math:arxiv_136364", "predicate": "proves", "object": "the rare decay @xmath0 can occur only via penguin annihilation topology in the standard model . \n we"}
{"subject": "math:arxiv_136376", "predicate": "proves", "object": "the influence of the coulomb distortion for quasi - elastic ( e , e ) scattering on highly charged n"}
{"subject": "math:arxiv_136383", "predicate": "proves", "object": "we prove that in a continuous @xmath0-stable theory every type - definable group is definable . \n th"}
{"subject": "math:arxiv_136388", "predicate": "proves", "object": "we show how capacitance can be calculated simply and efficiently for electrodes cut in a 2-dimension"}
{"subject": "math:arxiv_136436", "predicate": "proves", "object": "edge polytopes is a class of interesting polytope with rich algebraic and combinatorial properties ,"}
{"subject": "math:arxiv_136448", "predicate": "proves", "object": "we calculate the equation of state of nuclear matter for arbitrary isospin - asymmetry up to three l"}
{"subject": "math:arxiv_136461", "predicate": "proves", "object": "the evolution of qcd coupling constant at finite temperature is considered by making use of the fini"}
{"subject": "math:arxiv_136472", "predicate": "proves", "object": "an exact solution of the vacuum einstein field equations over a nonsimply - connected manifold is pr"}
{"subject": "math:arxiv_136500", "predicate": "proves", "object": "bead - rod - spring models are the foundation of the kinetic theory of polymer solutions . \n we deri"}
{"subject": "math:arxiv_136542", "predicate": "proves", "object": "this work presents a multiple scattering formulation of two dimensional acoustic metamaterials . \n i"}
{"subject": "math:arxiv_136549", "predicate": "proves", "object": "we investigate the dynamics of a nonequilibrium interface between coexisting phases in a system desc"}
{"subject": "math:arxiv_136550", "predicate": "proves", "object": "we consider a quantum analogue of black holes and white holes using bose - einstein condensates . \n "}
{"subject": "math:arxiv_136568", "predicate": "proves", "object": "we present new rectification theorems of degenerate quasi - conformal structures that give a meaning"}
{"subject": "math:arxiv_136580", "predicate": "proves", "object": "we say that a graph @xmath0 has a perfect @xmath1-packing if there exists a set of vertex - disjoint"}
{"subject": "math:arxiv_136588", "predicate": "proves", "object": "we provide the first perfect sampling algorithm for a generalized jackson network of fifo queues und"}
{"subject": "math:arxiv_136614", "predicate": "proves", "object": "in this paper , a novel class of exponential fourier collocation methods ( efcms ) is presented for "}
{"subject": "math:arxiv_136615", "predicate": "proves", "object": "in this paper we abandon the idea that even a `` quantum '' black hole , of planck size , can still "}
{"subject": "math:arxiv_136627", "predicate": "proves", "object": "the equipartition theorem states that in equilibrium thermal energy is equally distributed among unc"}
{"subject": "math:arxiv_136642", "predicate": "proves", "object": "we first review asymptotic twistor theory with its real subspace of null asymptotic twistors . \n thi"}
{"subject": "math:arxiv_136660", "predicate": "proves", "object": "we show that we can also apply the hirota method to some non - integrable equations . for this purpo"}
{"subject": "math:arxiv_136661", "predicate": "proves", "object": "we obtain various versions of classical lieb  thirring bounds for one- and multi - dimensional compl"}
{"subject": "math:arxiv_136663", "predicate": "proves", "object": "we study the relation of an embedded lagrangian cobordism between two closed , orientable legendrian"}
{"subject": "math:arxiv_136664", "predicate": "proves", "object": "we conjecture the factorized scattering description for @xmath0 supersphere sigma models and @xmath1"}
{"subject": "math:arxiv_136667", "predicate": "proves", "object": "we use a systematic method which allows us to identify a class of exact solutions of the flierl - pe"}
{"subject": "math:arxiv_136668", "predicate": "proves", "object": "we prove the existence conjecture for combinatorial designs , answering a question of steiner from 1"}
{"subject": "math:arxiv_136677", "predicate": "proves", "object": "we survey commutative and non - commutative analogs of uniform algebras in the archimedean settings "}
{"subject": "math:arxiv_136719", "predicate": "proves", "object": "an averaging method for getting uniformly valid asymptotic approximations of the solution of hyperbo"}
{"subject": "math:arxiv_136736", "predicate": "proves", "object": "a recently developed algebraic approach for constructing coherent states for solvable potentials is "}
{"subject": "math:arxiv_136738", "predicate": "proves", "object": "the one - dimensional dirac equation with a rational potential is reducible to an ordinary different"}
{"subject": "math:arxiv_136739", "predicate": "proves", "object": "legendrian contact homology ( lch ) and its associated differential graded algebra are powerful non "}
{"subject": "math:arxiv_136749", "predicate": "proves", "object": "by the @xmath0-algebraic method , we investigate the magnetization profile in the intermediate time "}
{"subject": "math:arxiv_136759", "predicate": "proves", "object": "analytical and numerical solutions are obtained for the equation of radiative transfer in ultra - re"}
{"subject": "math:arxiv_136765", "predicate": "proves", "object": "we apply tsallis s @xmath0-indexed entropy to formulate a non - extensive random matrix theory ( rmt"}
{"subject": "math:arxiv_136780", "predicate": "proves", "object": "the design and development of a parallel plate shear cell for the study of large scale shear flows i"}
{"subject": "math:arxiv_136793", "predicate": "proves", "object": "in the present paper we continue the project of systematic construction of invariant differential op"}
{"subject": "math:arxiv_136807", "predicate": "proves", "object": "we compute the hausdorff dimension of sets of very well approximable vectors on rational quadrics . "}
{"subject": "math:arxiv_136808", "predicate": "proves", "object": "we study the gap (=  projection norm \" =  graph distance \" ) topology of the space of all ( not nece"}
{"subject": "math:arxiv_136810", "predicate": "proves", "object": "the initial shear field plays a central role in the formation of large - scale structures , and in s"}
{"subject": "math:arxiv_136811", "predicate": "proves", "object": "we formulate general conditions necessary for a linear - response detector to reach the quantum limi"}
{"subject": "math:arxiv_136822", "predicate": "proves", "object": "we introduce and analyze a phenomenological model for anti - angiogenic therapy in the treatment of "}
{"subject": "math:arxiv_136823", "predicate": "proves", "object": "we prove finite - time singularity formation for de gregorio s model of the three - dimensional vort"}
{"subject": "math:arxiv_136825", "predicate": "proves", "object": "we present a new `` integral @xmath0 series '' type identity of multiple zeta values , and show that"}
{"subject": "math:arxiv_136845", "predicate": "proves", "object": "this article discusses the recent transcendental techniques used in the proofs of the following thre"}
{"subject": "math:arxiv_136857", "predicate": "proves", "object": "we give a fully explicit description of lie algebra derivatives ( generalizing raising and lowering "}
{"subject": "math:arxiv_136859", "predicate": "proves", "object": "in this paper we study geometric versions of burnside s problem and the von neumann conjecture . \n t"}
{"subject": "math:arxiv_136869", "predicate": "proves", "object": "let @xmath0 be a connected , compact 6-dimensional symplectic manifold equipped with a semi - free h"}
{"subject": "math:arxiv_136900", "predicate": "proves", "object": "from a formal perspective tropical geometry can be viewed as a branch of geometry manipulating with "}
{"subject": "math:arxiv_136917", "predicate": "proves", "object": "the cahn  hilliard equation describes phase separation in binary liquids . here \n we study this equa"}
{"subject": "math:arxiv_136923", "predicate": "proves", "object": "the modified chaplygin gas ( mcg ) model belongs to the class of a unified models of dark energy ( d"}
{"subject": "math:arxiv_136938", "predicate": "proves", "object": "a microscopic derivation of the master equation for the jaynes - cummings model with cavity losses i"}
{"subject": "math:arxiv_136940", "predicate": "proves", "object": "we present in this paper a general approach to study the ricci flow on homogeneous manifolds . \n our"}
{"subject": "math:arxiv_136947", "predicate": "proves", "object": "new relations involving curvature components for the various connections appearing in the theory of "}
{"subject": "math:arxiv_136949", "predicate": "proves", "object": "a comparative study of the homotopy analysis method and an improved renormalization group method is "}
{"subject": "math:arxiv_136955", "predicate": "proves", "object": "the classical matrix - tree theorem relates the determinant of the combinatorial laplacian on a grap"}
{"subject": "math:arxiv_136959", "predicate": "proves", "object": "the effect of the electric field on the creation of spin 1/2 particles from vacuum in the ( 1 + 1 ) "}
{"subject": "math:arxiv_136962", "predicate": "proves", "object": "using the largest cosmological reionization simulation to - date ( @xmath024 billion particles ) , w"}
{"subject": "math:arxiv_136965", "predicate": "proves", "object": "we prove the existence of a countable family of globally regular solutions of spherically symmetric "}
{"subject": "math:arxiv_136971", "predicate": "proves", "object": "in this paper , the exponential b - spline galerkin  method is set up for getting the numerical solu"}
{"subject": "math:arxiv_137004", "predicate": "proves", "object": "given a matroid @xmath0 one can define its orlik - solomon algebra @xmath1 and the bergman fan @xmat"}
{"subject": "math:arxiv_137008", "predicate": "proves", "object": "the conditions that can lead to the exploitative depletion of a shared resource , i.e , the tragedy "}
{"subject": "math:arxiv_137041", "predicate": "proves", "object": "we give combinatorial formulas for the laurent expansion of any cluster variable in any cluster alge"}
{"subject": "math:arxiv_137046", "predicate": "proves", "object": "we present a derivation of the time evolution equations for the energy content of nonhelical magneti"}
{"subject": "math:arxiv_137060", "predicate": "proves", "object": "_ abstraction - carrying code _ ( acc ) has recently been proposed as a framework for proof - carryi"}
{"subject": "math:arxiv_137074", "predicate": "proves", "object": "we prove the doran  harder \n thompson conjecture in the case of elliptic curves by using ideas from "}
{"subject": "math:arxiv_137082", "predicate": "proves", "object": "modern functional - logic programming languages like toy or curry feature non - strict non - determi"}
{"subject": "math:arxiv_137085", "predicate": "proves", "object": "the boltzmann equation for @xmath0-dimensional inelastic maxwell models is considered to analyze tra"}
{"subject": "math:arxiv_137088", "predicate": "proves", "object": "in this paper , we show how to reduce the penrose conjecture to the known riemannian penrose inequal"}
{"subject": "math:arxiv_137106", "predicate": "proves", "object": "the temporal evolution of the magnetization vector of a single - domain magnetostrictive nanomagnet "}
{"subject": "math:arxiv_137127", "predicate": "proves", "object": "based on the @xmath0-deformed oscillator algebra , we study the behavior of the mean occupation numb"}
{"subject": "math:arxiv_137135", "predicate": "proves", "object": "we investigate observational constraints on the curvature of the universe not restricting ourselves "}
{"subject": "math:arxiv_137145", "predicate": "proves", "object": "the faddeev equation for three - body scattering below the three - body breakup threshold is directl"}
{"subject": "math:arxiv_137149", "predicate": "proves", "object": "this paper concerns the dehn surgery construction , especially those dehn surgeries leaving the mani"}
{"subject": "math:arxiv_137155", "predicate": "proves", "object": "the dynamics of networks of interacting systems depends intricately on the interaction topology . \n "}
{"subject": "math:arxiv_137157", "predicate": "proves", "object": "this review discusses progress in efficient solvers which have as their foundation a representation "}
{"subject": "math:arxiv_137160", "predicate": "proves", "object": "within a multi - channel formulation of @xmath0 scattering , we investigate the use of the finite - "}
{"subject": "math:arxiv_137165", "predicate": "proves", "object": "if @xmath0 is a smooth solution of the navier  stokes equations on @xmath1 with first blowup time @x"}
{"subject": "math:arxiv_137171", "predicate": "proves", "object": "coherent state theory is shown to reproduce three categories of representations of the spectrum gene"}
{"subject": "math:arxiv_137176", "predicate": "proves", "object": "the acceleration theorem for bloch electrons in a homogenous external field is usually presented usi"}
{"subject": "math:arxiv_137181", "predicate": "proves", "object": "in the context of representation theory of finite dimensional algebras , string algebras have been e"}
{"subject": "math:arxiv_137183", "predicate": "proves", "object": "in this paper we use the fourier transform method and the expansion formula for the polylogarithm fu"}
{"subject": "math:arxiv_137227", "predicate": "proves", "object": "measurements of cmb anisotropy are ideal experiments for discovering the non - trivial global topolo"}
{"subject": "math:arxiv_137251", "predicate": "proves", "object": "we investigate the possibility to extract the symmetry energy from multifragmentation data . \n the a"}
{"subject": "math:arxiv_137262", "predicate": "proves", "object": "we prove the existence and uniqueness of a traveling front and of its speed for the homogeneous heat"}
{"subject": "math:arxiv_137294", "predicate": "proves", "object": "we give a simple explicit formula for turnover reduction when a large number of alphas are traded on"}
{"subject": "math:arxiv_137296", "predicate": "proves", "object": "the algebraic dichotomy conjecture states that the constraint satisfaction problem over a fixed temp"}
{"subject": "math:arxiv_137305", "predicate": "proves", "object": "we study the asymptotic behaviour of sharp front solutions arising from the nonlinear diffusion equa"}
{"subject": "math:arxiv_137317", "predicate": "proves", "object": "we develop a general regulated volume expansion for the volume of a manifold with boundary whose mea"}
{"subject": "math:arxiv_137327", "predicate": "proves", "object": "we give a complete description of exceptional surgeries on pretzel knots of type @xmath0 with @xmath"}
{"subject": "math:arxiv_137331", "predicate": "proves", "object": "we examine friedmann  robertson  walker models in three spacetime dimensions . \n the matter content "}
{"subject": "math:arxiv_137358", "predicate": "proves", "object": "the leray-@xmath0 model reduces the range of active scales of the navier - stokes equations by smoot"}
{"subject": "math:arxiv_137359", "predicate": "proves", "object": "the physics of sunspots is a fascinating and demanding field of research in solar astronomy . \n inte"}
{"subject": "math:arxiv_137372", "predicate": "proves", "object": "in this article , an @xmath0-approach to the primitive equations is developed . \n in particular , it"}
{"subject": "math:arxiv_137397", "predicate": "proves", "object": "a transgression form is proposed as lagrangian for a gauge field theory . \n the construction is firs"}
{"subject": "math:arxiv_137400", "predicate": "proves", "object": "a dual description of 3-dimensional topological seiberg - witten theory in terms of the alexander in"}
{"subject": "math:arxiv_137443", "predicate": "proves", "object": "we consider the self - similar solutions associated with the critical behavior observed in the gravi"}
{"subject": "math:arxiv_137460", "predicate": "proves", "object": "the standard grad - shafranov equation for axisymmetric toroidal plasma equilibrium is customary exp"}
{"subject": "math:arxiv_137467", "predicate": "proves", "object": "we study the equilibrium points of a system of equations corresponding to a bass based model that de"}
{"subject": "math:arxiv_137470", "predicate": "proves", "object": "reaction - diffusion equations with suitable boundary conditions have special propagating solutions "}
{"subject": "math:arxiv_137481", "predicate": "proves", "object": "three - body decays of resonant states are studied using integral formulae for decay widths . \n theo"}
{"subject": "math:arxiv_137483", "predicate": "proves", "object": "gauge theory is a theory with constraints and , for that reason , the space of physical states is no"}
{"subject": "math:arxiv_137487", "predicate": "proves", "object": "we introduce a so - called _ quasi - integrable _ extension to the two - dimensional toda lattice eq"}
{"subject": "math:arxiv_137518", "predicate": "proves", "object": "an equation - by - equation ( ebe ) method is proposed to solve a system of nonlinear equations aris"}
{"subject": "math:arxiv_137583", "predicate": "proves", "object": "the probablity current for a quantum spinless relativistic particle is introduced based on the hamil"}
{"subject": "math:arxiv_137593", "predicate": "proves", "object": "we investigate the temperature dependence of the coefficients in the landau - lifshitz - gilbert equ"}
{"subject": "math:arxiv_137604", "predicate": "proves", "object": "purcell s scallop theorem defines the type of motions of a solid body - reciprocal motions - which c"}
{"subject": "math:arxiv_137608", "predicate": "proves", "object": "the theory of complex hyperbolic discrete groups is still in its childhood but promises to grow into"}
{"subject": "math:arxiv_137616", "predicate": "proves", "object": "we obtain improved regularity of homeomorphic solutions of the reduced beltrami equation , as compar"}
{"subject": "math:arxiv_137620", "predicate": "proves", "object": "the moving sofa problem , posed by l.  moser in 1966 , asks for the planar shape of maximal area tha"}
{"subject": "math:arxiv_137631", "predicate": "proves", "object": "the exist active shields , planned for the main detectors of the coded aperture telescope , will hav"}
{"subject": "math:arxiv_137633", "predicate": "proves", "object": "a knot complement admits a pseudo - hyperbolic structure by solving thurston s gluing equations for "}
{"subject": "math:arxiv_137635", "predicate": "proves", "object": "we study the dynamical equation of the time - ordered green s function at finite temperature . \n we "}
{"subject": "math:arxiv_137698", "predicate": "proves", "object": "it was conjectured recently that statiscally preserved structures underlie the statistical physics o"}
{"subject": "math:arxiv_137722", "predicate": "proves", "object": "we extend the definition of the colored jones polynomials to framed links and trivalent graphs in @x"}
{"subject": "math:arxiv_137736", "predicate": "proves", "object": "we have independently measured the genus topology of the temperature fluctuations in the cosmic micr"}
{"subject": "math:arxiv_137737", "predicate": "proves", "object": "using a parabolic equation , we consider ray propagation in a waveguide with the sound speed profile"}
{"subject": "math:arxiv_137750", "predicate": "proves", "object": "starting from the kinetic equations for the fluctuations and correlations of a dilute gas of inelast"}
{"subject": "math:arxiv_137756", "predicate": "proves", "object": "a new method for solving the time - dependent two - center dirac equation is developed . \n the time "}
{"subject": "math:arxiv_137757", "predicate": "proves", "object": "we study polynomial identities of finite dimensional simple color lie superalgebras over an algebrai"}
{"subject": "math:arxiv_137770", "predicate": "proves", "object": "a class of nonlocal nonlinear wave equation arises from the modeling of a one dimensional motion in "}
{"subject": "math:arxiv_137796", "predicate": "proves", "object": "we formulate conditions for convergence of laws of large numbers and show its links with of parts ma"}
{"subject": "math:arxiv_137804", "predicate": "proves", "object": "some theorems on derivatives of the coulomb density functional with respect to the coupling constant"}
{"subject": "math:arxiv_137824", "predicate": "proves", "object": "in this paper we prove asymptotic normality of the total length of external branches in kingman s co"}
{"subject": "math:arxiv_137827", "predicate": "proves", "object": "we present time - dependent , numerical simulations of the magneto - centrifugal model for jet forma"}
{"subject": "math:arxiv_137846", "predicate": "proves", "object": "we formulate a real - space renormalization group ( rg ) approach for efficient numerical analysis o"}
{"subject": "math:arxiv_137871", "predicate": "proves", "object": "the category @xmath0 of classes and functions is proved to have a number of properties suitable for "}
{"subject": "math:arxiv_137881", "predicate": "proves", "object": "non - abelian discrete family symmetries play a pivotal role in the formulation of models with tri -"}
{"subject": "math:arxiv_137896", "predicate": "proves", "object": "we present a 3d dynamical model of the orbital induced curvature of the wind - wind collision region"}
{"subject": "math:arxiv_137902", "predicate": "proves", "object": "let @xmath0 be an orientable , irreducible @xmath1-manifold and @xmath2 a weakly reducible , unstabi"}
{"subject": "math:arxiv_137905", "predicate": "proves", "object": "classical h.  minkowski theorems on existence and uniqueness of convex polyhedra with prescribed dir"}
{"subject": "math:arxiv_137912", "predicate": "proves", "object": "when the electron density is a linear function of distance , it is known that the msw equations for "}
{"subject": "math:arxiv_137920", "predicate": "proves", "object": "the qcd evolution equations in modified leading log approximation for the factorial moments of the m"}
{"subject": "math:arxiv_137921", "predicate": "proves", "object": "an algebraic multigrid method is proposed to solve eigenvalue problems based on the combination of t"}
{"subject": "math:arxiv_137927", "predicate": "proves", "object": "in a companion paper  ( hereafter referred to as paper  i ) , we have presented an attempt to derive"}
{"subject": "math:arxiv_137939", "predicate": "proves", "object": "the effective crystal field in multi - orbital correlated materials can be either enhanced or reduce"}
{"subject": "math:arxiv_137946", "predicate": "proves", "object": "applying the time - dependent ginzburg - landau equations , transitions between metastable states of"}
{"subject": "math:arxiv_137953", "predicate": "proves", "object": "we extend the semiclassical study of the neumann model down to the deep quantum regime . a detailed "}
{"subject": "math:arxiv_137957", "predicate": "proves", "object": "the capillary instability of liquid crystalline ( lc ) jets is considered in the framework of linear"}
{"subject": "math:arxiv_137964", "predicate": "proves", "object": "in modeling solute transport with mobile - immobile mass transfer ( mimt ) , it is common to use an "}
{"subject": "math:arxiv_137974", "predicate": "proves", "object": "suppose a link @xmath0 in a @xmath1-manifold @xmath2 is in bridge position with respect to two diffe"}
{"subject": "math:arxiv_137980", "predicate": "proves", "object": "we use dirac s constraint dynamics to obtain a hamiltonian formulation of the relativistic @xmath0-b"}
{"subject": "math:arxiv_138006", "predicate": "proves", "object": "we discuss the elliptic flow dependence on pseudorapidity and number of participating nucleons in th"}
{"subject": "math:arxiv_138010", "predicate": "proves", "object": "the equation of state and the critical behavior around the critical end point are studied in the con"}
{"subject": "math:arxiv_138025", "predicate": "proves", "object": "we analyse the experiment by hultgren _ \n et al . _ [ phys . \n rev . \n a * 87 * , 031404 ( 2013 ) ] "}
{"subject": "math:arxiv_138033", "predicate": "proves", "object": "a new master equation to mimic the dynamics of a collection of interacting random walkers in an _ op"}
{"subject": "math:arxiv_138048", "predicate": "proves", "object": "we derive the phase space density of bosons from a general boson interferometry formula . \n we find "}
{"subject": "math:arxiv_138050", "predicate": "proves", "object": "the clustering properties of jack polynomials are relevant in the theoretical study of the fractiona"}
{"subject": "math:arxiv_138051", "predicate": "proves", "object": "the nonlinear schrdinger equation @xmath0 , @xmath1 , arises from a hamiltonian on infinite - dimens"}
{"subject": "math:arxiv_138060", "predicate": "proves", "object": "in this paper we have studied the flow and heat transfer in a viscous fluid by a horizontal sheet . "}
{"subject": "math:arxiv_138061", "predicate": "proves", "object": "_ we prove some fundamental properties of mu - differentiable functions . a new notion of local mini"}
{"subject": "math:arxiv_138070", "predicate": "proves", "object": "hydrodynamic equations for ideal incompressible fluid are written in terms of generalized stream fun"}
{"subject": "math:arxiv_138074", "predicate": "proves", "object": "the existence and continuity for the caldern projector of the perturbed odd signature operator on a "}
{"subject": "math:arxiv_138096", "predicate": "proves", "object": "in the present paper we extend the `` torus gauge fixing '' approach by blau and thompson , which wa"}
{"subject": "math:arxiv_138105", "predicate": "proves", "object": "the solutions of vacuum einstein s field equations , for the class of riemannian metrics admitting a"}
{"subject": "math:arxiv_138165", "predicate": "proves", "object": "we present factorization theorems for two exclusive heavy - quarkonium production processes : produc"}
{"subject": "math:arxiv_138166", "predicate": "proves", "object": "we investigate under which conditions we can expect to observe quantum brownian motion in a microsco"}
{"subject": "math:arxiv_138169", "predicate": "proves", "object": "we investigate the wave propagation on a compact @xmath0-manifold of constant positive curvature wit"}
{"subject": "math:arxiv_138175", "predicate": "proves", "object": "much of the nontrivial dynamics of the one dimensional complex ginzburg - landau equation ( cgle ) i"}
{"subject": "math:arxiv_138199", "predicate": "proves", "object": "methods for the computation of invariants and symmetries of nonlinear evolution , wave , and lattice"}
{"subject": "math:arxiv_138206", "predicate": "proves", "object": "limit theorems for the time average of some observation functions in an infinite measure dynamical s"}
{"subject": "math:arxiv_138208", "predicate": "proves", "object": "nearly all the evolution equations of physics are time - reversible , in the sense that a movie of t"}
{"subject": "math:arxiv_138214", "predicate": "proves", "object": "the schrdinger equation for an electron in a mesoscopic ring , in the presence of the rashba and lin"}
{"subject": "math:arxiv_138218", "predicate": "proves", "object": "dinamical friction problem is a long - standing dilemma about globular clusters(hereafter , gcs ) be"}
{"subject": "math:arxiv_138247", "predicate": "proves", "object": "dynamics of a particle is formulated from classical principles that are amended by the uncertainty p"}
{"subject": "math:arxiv_138250", "predicate": "proves", "object": "while feedback control has many applications in quantum systems , finding optimal control protocols "}
{"subject": "math:arxiv_138307", "predicate": "proves", "object": "we discuss a scheme based on ehrenfest like equations to exhibit and classify transitions between tw"}
{"subject": "math:arxiv_138311", "predicate": "proves", "object": "we derive the differential equation , which is satisfied by the iter scalings for the dynamic energy"}
{"subject": "math:arxiv_138322", "predicate": "proves", "object": "we derive an equation for the current of particles in energy space ; particles are subject to a mean"}
{"subject": "math:arxiv_138332", "predicate": "proves", "object": "the bifurcation structure of the langford equation is studied numerically in detail . \n periodic , d"}
{"subject": "math:arxiv_138338", "predicate": "proves", "object": "we show that voronoi conjecture on parallelohedra is true for a new class of polytopes . \n namely we"}
{"subject": "math:arxiv_138350", "predicate": "proves", "object": "we investigate deterministic diffusion in periodic billiard models , in terms of the convergence of "}
{"subject": "math:arxiv_138352", "predicate": "proves", "object": "using the balitsky  kovchegov ( bk ) equation as an explicit example , we show that nonlinear qcd ev"}
{"subject": "math:arxiv_138370", "predicate": "proves", "object": "a closure system with the anti - exchange axiom is called a convex geometry . \n one geometry is call"}
{"subject": "math:arxiv_138380", "predicate": "proves", "object": "the @xmath0 system is investigated with a coupled channel approach based on solving the faddeev equa"}
{"subject": "math:arxiv_138395", "predicate": "proves", "object": "in this paper , we study the probability that a dense network confined within a given geometry is fu"}
{"subject": "math:arxiv_138397", "predicate": "proves", "object": "the grothendieck group of the tower of symmetric group algebras has a self - dual graded hopf algebr"}
{"subject": "math:arxiv_138403", "predicate": "proves", "object": "in this article , we introduce a new method to model stochastic gene expression . the protein concen"}
{"subject": "math:arxiv_138406", "predicate": "proves", "object": "we carry out a systematic construction of the coarse - grained dynamical equation of motion for the "}
{"subject": "math:arxiv_138416", "predicate": "proves", "object": "the erds - ko - rado theorem tells us how large an intersecting family of @xmath0-sets from an @xmat"}
{"subject": "math:arxiv_138435", "predicate": "proves", "object": "two manifolds with genus @xmath0 are given . \n in one the geodesic motion is apparently integrable ."}
{"subject": "math:arxiv_138477", "predicate": "proves", "object": "a fermion realization of the compact symplectic @xmath0 algebra provides a natural framework for stu"}
{"subject": "math:arxiv_138479", "predicate": "proves", "object": "the schrdinger equation in phase space is used to calculate the wigner function for the helium atom "}
{"subject": "math:arxiv_138498", "predicate": "proves", "object": "time operators ; quantum canonical pairs ; pauli s theorem we prove explicitly that to every discret"}
{"subject": "math:arxiv_138507", "predicate": "proves", "object": "projective cotangent bundles of complex manifolds are the local models of complex contact manifolds "}
{"subject": "math:arxiv_138511", "predicate": "proves", "object": "anomalous transport of a particle subjected to non - ohmic damping of the power @xmath0 in a tilted "}
{"subject": "math:arxiv_138527", "predicate": "proves", "object": "we compute the @xmath0-localized cohomology of the motivic steenrod algebra over @xmath1 . \n this se"}
{"subject": "math:arxiv_138533", "predicate": "proves", "object": "alternative approach for description of the non - equilibrium phenomena arising in solids at a sever"}
{"subject": "math:arxiv_138540", "predicate": "proves", "object": "this is an introduction to : ( 1 ) the enumerative geometry of rational curves in equivariant symple"}
{"subject": "math:arxiv_138543", "predicate": "proves", "object": "for each commutative , graded algebra with finite dimension in each degree , we construct a graded c"}
{"subject": "math:arxiv_138561", "predicate": "proves", "object": "given two maps @xmath0 and @xmath1 from the sphere @xmath2 to an @xmath3-manifold @xmath4 , when are"}
{"subject": "math:arxiv_138574", "predicate": "proves", "object": "we present a detailed study of the gap symmetry and the quasiparticle wave function topology in two "}
{"subject": "math:arxiv_138590", "predicate": "proves", "object": "we present a parametric finite element approximation of two - phase flow . \n this free boundary prob"}
{"subject": "math:arxiv_138600", "predicate": "proves", "object": "we solved the mode - coupling equations for the kob - andersen binary mixture using the structure fa"}
{"subject": "math:arxiv_138608", "predicate": "proves", "object": "leggett formulated an inequality which seems to generalize the bell theorem to nonlocal hidden varia"}
{"subject": "math:arxiv_138611", "predicate": "proves", "object": "we derive an upper bound for the distinguishability - based non - markovianity measure of a two - le"}
{"subject": "math:arxiv_138622", "predicate": "proves", "object": "this paper presents a semi - discrete alternative to the theory of neurogeometry of vision , due to "}
{"subject": "math:arxiv_138625", "predicate": "proves", "object": "an inverse scattering transform method corresponding to a riemann - hilbert problem is formulated fo"}
{"subject": "math:arxiv_138630", "predicate": "proves", "object": "in this paper we study ollivier s coarse ricci - curvature for graphs , and obtain exact formulas fo"}
{"subject": "math:arxiv_138632", "predicate": "proves", "object": "a review is given for cyclotron resonant interactions in space plasmas . \n after giving a simple for"}
{"subject": "math:arxiv_138635", "predicate": "proves", "object": "we study quasi - newton methods from the viewpoint of information geometry induced associated with b"}
{"subject": "math:arxiv_138660", "predicate": "proves", "object": "despite the fact that the schwarzschild and kerr solutions for the einstein equations , when written"}
{"subject": "math:arxiv_138668", "predicate": "proves", "object": "we present in this paper a rather general method for the construction of so - called conditionally e"}
{"subject": "math:arxiv_138681", "predicate": "proves", "object": "we recast the correspondence between 3-dimensional toric calabi - yau singularities and quivers with"}
{"subject": "math:arxiv_138686", "predicate": "proves", "object": "we consider scalar delay differential equations @xmath0 with nonlinear @xmath1 satisfying a sort of "}
{"subject": "math:arxiv_138718", "predicate": "proves", "object": "with the help of a simple rate equation model , we analyze the intrinsic dynamics of threshold cross"}
{"subject": "math:arxiv_138726", "predicate": "proves", "object": "the variational heat equation is a nonlinear , parabolic equation not in divergence form that arises"}
{"subject": "math:arxiv_138760", "predicate": "proves", "object": "we study quantum manipulation based on four majorana bound states in x - junction geometry . \n the p"}
{"subject": "math:arxiv_138769", "predicate": "proves", "object": "let @xmath0 be a @xmath1-dimensional compact riemannian manifold . we show that the spectrum of the "}
{"subject": "math:arxiv_138806", "predicate": "proves", "object": "we present here the explicit parametric solutions of second order differential equations invariant u"}
{"subject": "math:arxiv_138816", "predicate": "proves", "object": "plausible interrelations between parameters of the standard model are studied . \n the empirical valu"}
{"subject": "math:arxiv_138829", "predicate": "proves", "object": "exact solutions for the generalized nonlinear schrdinger ( nls ) equation with inhomogeneous complex"}
{"subject": "math:arxiv_138830", "predicate": "proves", "object": "the interaction between a bloch and a nel wall in the parametrically driven nonlinear schrdinger equ"}
{"subject": "math:arxiv_138838", "predicate": "proves", "object": "the floquet theorem allows to reformulate periodic time - dependent problems such as the interaction"}
{"subject": "math:arxiv_138865", "predicate": "proves", "object": "we review recent progress in formulating the worldvolume theory of m2-branes using the nambu bracket"}
{"subject": "math:arxiv_138869", "predicate": "proves", "object": "the _ systole _ of a compact non simply connected riemannian manifold is the smallest length of a no"}
{"subject": "math:arxiv_138891", "predicate": "proves", "object": "we describe the transition of @xmath0 weakly interacting atoms into a bose - einstein condensate wit"}
{"subject": "math:arxiv_138902", "predicate": "proves", "object": "a class of trigonometric integrator is proposed for the constrained ring polymer hamiltonian dynamic"}
{"subject": "math:arxiv_138903", "predicate": "proves", "object": "we discuss how the loop calculus approach of [ chertkov , chernyak 06 ] , enhanced by the pseudo - c"}
{"subject": "math:arxiv_138919", "predicate": "proves", "object": "study on the electronic transport of a large scale two dimensional system by the transfer matrix met"}
{"subject": "math:arxiv_138946", "predicate": "proves", "object": "our splitter theorem for internally @xmath0-connected binary matroids studies pairs of the form @xma"}
{"subject": "math:arxiv_138977", "predicate": "proves", "object": "the excitation of alfvnic waves in the solar spicules due to the localized alfvnic pulse is investig"}
{"subject": "math:arxiv_138984", "predicate": "proves", "object": "various solutions to the discrete schwarzian kdv equation are discussed . \n we first derive the bili"}
{"subject": "math:arxiv_139010", "predicate": "proves", "object": "we compute the covariance expected between the spherical harmonic coefficients @xmath0 of the cosmic"}
{"subject": "math:arxiv_139031", "predicate": "proves", "object": "we formulate the exact wilsonian renormalization group for a system of interacting fermions on a lat"}
{"subject": "math:arxiv_139036", "predicate": "proves", "object": "let @xmath0 be a set of inequalities between finite @xmath1-terms . \n let @xmath2 and @xmath3 denote"}
{"subject": "math:arxiv_139044", "predicate": "proves", "object": "we give a detailed treatment of the back - reaction effects on the hawking spectrum in the semiclass"}
{"subject": "math:arxiv_139064", "predicate": "proves", "object": "in this work we construct algebraic equation for elements of spectrum of linearized fokker - planck "}
{"subject": "math:arxiv_139065", "predicate": "proves", "object": "we present two paradigms relating algebraic , topological and quantum computational statistics for t"}
{"subject": "math:arxiv_139066", "predicate": "proves", "object": "every set ( finite or infinite ) of quantum vectors ( states ) satisfies generalized orthoarguesian "}
{"subject": "math:arxiv_139068", "predicate": "proves", "object": "in the universality class of the one dimensional kardar - parisi - zhang surface growth , derrida an"}
{"subject": "math:arxiv_139088", "predicate": "proves", "object": "the equation of state ( eos ) of dark energy @xmath0 remains elusive despite enormous experimental e"}
{"subject": "math:arxiv_139089", "predicate": "proves", "object": "within the framework of the standard three neutrino scenario , we derive an exact and simple formula"}
{"subject": "math:arxiv_139116", "predicate": "proves", "object": "_ clarithmetics _ are number theories based on _ computability logic_. formulas of these theories re"}
{"subject": "math:arxiv_139120", "predicate": "proves", "object": "we derive a closed photo - counting formula , including noise counts and a finite quantum efficiency"}
{"subject": "math:arxiv_139123", "predicate": "proves", "object": "the tremaine - weinberg equations are solved for a pattern speed that is allowed to vary with radius"}
{"subject": "math:arxiv_139147", "predicate": "proves", "object": "a necessary and sufficient condition for linear stability of inviscid parallel shear flow is formula"}
{"subject": "math:arxiv_139173", "predicate": "proves", "object": "the extended interacting boson model with @xmath0- , @xmath1- , @xmath2- , @xmath3- and @xmath4-boso"}
{"subject": "math:arxiv_139184", "predicate": "proves", "object": "a cellular automaton in which cells represent agents playing the prisoner s dilemma ( pd ) game foll"}
{"subject": "math:arxiv_139191", "predicate": "proves", "object": "we derive and interpret solutions of time - harmonic maxwell s equations with a vertical and a horiz"}
{"subject": "math:arxiv_139213", "predicate": "proves", "object": "poisson sigma models represent an interesting use of poisson manifolds for the construction of a cla"}
{"subject": "math:arxiv_139220", "predicate": "proves", "object": "we construct quasiequilibrium sequences of black hole - neutron star binaries in general relativity "}
{"subject": "math:arxiv_139233", "predicate": "proves", "object": "we prove the euler - lagrange delta - differential equations for problems of the calculus of variati"}
{"subject": "math:arxiv_139240", "predicate": "proves", "object": "we prove a @xmath0-analogue of the carter - payne theorem in the case where the differences between "}
{"subject": "math:arxiv_139251", "predicate": "proves", "object": "we study the recombination of two neutrons and deuteron into neutron and @xmath0h using realistic nu"}
{"subject": "math:arxiv_139262", "predicate": "proves", "object": "we study phase structure of the moduli space of a d0-brane on the orbifold @xmath0 based on stabilit"}
{"subject": "math:arxiv_139266", "predicate": "proves", "object": "we discuss how a background bath of gravitons can induce decoherence of quantum systems . \n the mech"}
{"subject": "math:arxiv_139270", "predicate": "proves", "object": "spectropolarimetry of broad absorption line quasars ( balqso s ) has demonstrated that the geometry "}
{"subject": "math:arxiv_139274", "predicate": "proves", "object": "bell s theorem states that no local realistic explanation of quantum mechanical predictions is possi"}
{"subject": "math:arxiv_139281", "predicate": "proves", "object": "effects of truncation in self - similar continuous unitary transformations ( s - cut ) are estimated"}
{"subject": "math:arxiv_139282", "predicate": "proves", "object": "by using the redfield form of the master equation , we investigate the decoherence times of a double"}
{"subject": "math:arxiv_139290", "predicate": "proves", "object": "a fractional quasiparticle charge is a manifestation of strong interactions in the fractional quantu"}
{"subject": "math:arxiv_139294", "predicate": "proves", "object": "we study the interaction between dark energy ( de ) and dark matter ( dm ) in the scope of anisotrop"}
{"subject": "math:arxiv_139305", "predicate": "proves", "object": "we discuss a new mechanism of d - term dynamical supersymmetry breaking in the context of dirac gaug"}
{"subject": "math:arxiv_139313", "predicate": "proves", "object": "we study conchoids to algebraic curve from the perspective of algebraic geometry , analyzing their m"}
{"subject": "math:arxiv_139330", "predicate": "proves", "object": "the josephson effects in two weakly linked bose - einstein condensates have been studied recently . "}
{"subject": "math:arxiv_139331", "predicate": "proves", "object": "in this work we have solved the nonlinear glr - mq evolution equation upto next - to - leading order"}
{"subject": "math:arxiv_139343", "predicate": "proves", "object": "the dirac equation is an important model in relativistic quantum mechanics . in the semi - classical"}
{"subject": "math:arxiv_139352", "predicate": "proves", "object": "we obtain the solution of the unitarity equation for the elastic processes in terms of the expansion"}
{"subject": "math:arxiv_139379", "predicate": "proves", "object": "in the previous paper ( li , x. z. , xi , p. , zhai , x. h. : phys . \n lett . \n b*666 * , 125 - 130 "}
{"subject": "math:arxiv_139397", "predicate": "proves", "object": "we develop a new numerical algorithm to model collisional cascades in debris disks . because of the "}
{"subject": "math:arxiv_139398", "predicate": "proves", "object": "we study the one - dimensional wave equation with an inverse power potential that equals @xmath0 for"}
{"subject": "math:arxiv_139405", "predicate": "proves", "object": "we show that operations in milnor @xmath0-theory mod @xmath1 of a field are spanned by divided power"}
{"subject": "math:arxiv_139431", "predicate": "proves", "object": "this paper analyzes the error estimates of the hybridizable discontinuous galerkin ( hdg ) method fo"}
{"subject": "math:arxiv_139432", "predicate": "proves", "object": "the low - energy effective dynamics of m - theory , eleven - dimensional supergravity , is taken off"}
{"subject": "math:arxiv_139439", "predicate": "proves", "object": "we describe a family of rational affine surfaces @xmath0 with huge groups of automorphisms in the fo"}
{"subject": "math:arxiv_139450", "predicate": "proves", "object": "the concept of separation by hyperplanes and halfspaces is fundamental for convex geometry and its t"}
{"subject": "math:arxiv_139473", "predicate": "proves", "object": "in this letter we discuss a new entanglement measure . \n it is based on the hilbert - schmidt norm o"}
{"subject": "math:arxiv_139476", "predicate": "proves", "object": "we announce a python class for numerical solution of schrdinger equations in one or more space dimen"}
{"subject": "math:arxiv_139486", "predicate": "proves", "object": "we study time - reversal - invariant topological superconductivity in topological insulator ( ti ) t"}
{"subject": "math:arxiv_139492", "predicate": "proves", "object": "the stability of a circular localized spot with respect to azimuthal perturbations is studied in in "}
{"subject": "math:arxiv_139493", "predicate": "proves", "object": "loop quantum cosmology leads to a difference equation for the wave function of a universe , which in"}
{"subject": "math:arxiv_139500", "predicate": "proves", "object": "the objective of this paper is to present an approximation formula for the katugampola fractional in"}
{"subject": "math:arxiv_139522", "predicate": "proves", "object": "one of the key issues in cosmology is to establish the nature of dark energy , and to determine whet"}
{"subject": "math:arxiv_139562", "predicate": "proves", "object": "quantum link models provide an alternative non - perturbative formulation of abelian and non - abeli"}
{"subject": "math:arxiv_139567", "predicate": "proves", "object": "in this article , we propose a space - time multi - index monte carlo ( mimc ) estimator for a one -"}
{"subject": "math:arxiv_139577", "predicate": "proves", "object": "let @xmath0 be a self - adjoint semiclassical pseudodifferential operator on a manifold @xmath1 such"}
{"subject": "math:arxiv_139579", "predicate": "proves", "object": "the equation of state of neutron matter is affected by the presence of a magnetic field due to the i"}
{"subject": "math:arxiv_139585", "predicate": "proves", "object": "the reaction - diffusion master equation ( rdme ) is a standard modelling approach for understanding"}
{"subject": "math:arxiv_139600", "predicate": "proves", "object": "we study boolean functions with sparse fourier coefficients or small spectral norm , and their appli"}
{"subject": "math:arxiv_139614", "predicate": "proves", "object": "type ia supernova data have recently become strong enough to enable , for the first time , constrain"}
{"subject": "math:arxiv_139618", "predicate": "proves", "object": "in this paper we first investigate minimal sufficient sets of colors for @xmath0 and @xmath1 . for o"}
{"subject": "math:arxiv_139642", "predicate": "proves", "object": "results of a 3d mhd simulation of a sunspot with a photospheric size of about 20  mm are presented ."}
{"subject": "math:arxiv_139646", "predicate": "proves", "object": "we investigate the branching ratios and direct cp asymmetries of @xmath0 and @xmath1 decays in the p"}
{"subject": "math:arxiv_139706", "predicate": "proves", "object": "in this paper we define @xmath0th order hessian structures on manifolds and study them . in particul"}
{"subject": "math:arxiv_139712", "predicate": "proves", "object": "we study several antiferromagnetic formulations of the o(3 ) spin model in three dimensions by means"}
{"subject": "math:arxiv_139725", "predicate": "proves", "object": "in this paper , we introduce the notion of parabolic stable pairs on calabi - yau 3-folds and invari"}
{"subject": "math:arxiv_139744", "predicate": "proves", "object": "in this paper the thermal transport phenomena in mems are investigated . the thermal klein - gordon "}
{"subject": "math:arxiv_139757", "predicate": "proves", "object": "we explore the equation of state ( eos ) for dark energy @xmath0 in modified gravitational theories "}
{"subject": "math:arxiv_139780", "predicate": "proves", "object": "set theory , boolean algebras , measure , combinatorial characterization this is an article in mathe"}
{"subject": "math:arxiv_139796", "predicate": "proves", "object": "we show that a large class of finite dimensional pointed hopf algebras is quasi - isomorphic to thei"}
{"subject": "math:arxiv_139802", "predicate": "proves", "object": "in this paper we solve friedmann equations by considering a universal media as a non - perfect fluid"}
{"subject": "math:arxiv_139806", "predicate": "proves", "object": "we present a new proof of the quantum cramer - rao bound for precision parameter estimation @xcite a"}
{"subject": "math:arxiv_139832", "predicate": "proves", "object": "the gap equations for the surface quasiparticle propagators in a slab of three - dimensional topolog"}
{"subject": "math:arxiv_139833", "predicate": "proves", "object": "we construct the equation of state ( eos ) of dense matter covering a wide range of temperature , pr"}
{"subject": "math:arxiv_139840", "predicate": "proves", "object": "quantum key distribution ( qkd ) is a quantum - proof key exchange scheme which is fast approaching "}
{"subject": "math:arxiv_139848", "predicate": "proves", "object": "we study motion of a phase transition ( pt ) front at a constant temperature between stable and meta"}
{"subject": "math:arxiv_139854", "predicate": "proves", "object": "solar prominences are clouds of cool plasma levitating above the solar surface and insulated from th"}
{"subject": "math:arxiv_139862", "predicate": "proves", "object": "several algorithmic meta - theorems on kernelization have appeared in the last years , starting with"}
{"subject": "math:arxiv_139867", "predicate": "proves", "object": "using the method of c. vrs , we establish results in hyperbolic plane geometry , related to triangle"}
{"subject": "math:arxiv_139875", "predicate": "proves", "object": "a _ strong edge coloring _ of a graph @xmath0 is a proper edge coloring in which each color class is"}
{"subject": "math:arxiv_139899", "predicate": "proves", "object": "let @xmath0 be a graph whose vertices are complex projective structures with holonomy @xmath1 and wh"}
{"subject": "math:arxiv_139916", "predicate": "proves", "object": "in this paper , we first show that the jacobian conjecture is true for non - homogeneous power linea"}
{"subject": "math:arxiv_139922", "predicate": "proves", "object": "the use of operator methods of algebraic nature is shown to be a very powerful tool to deal with dif"}
{"subject": "math:arxiv_139925", "predicate": "proves", "object": "we investigate wave amplification through the electron cyclotron maser mechanism . we derive a semi "}
{"subject": "math:arxiv_139956", "predicate": "proves", "object": "a nonlinear scattering transform is studied for the two - dimensional schrdinger equation at zero en"}
{"subject": "math:arxiv_139958", "predicate": "proves", "object": "we apply a method recently devised by one of the authors to obtain precise analytical formulas for t"}
{"subject": "math:arxiv_139972", "predicate": "proves", "object": "in this paper , we present the foundations of summability calculus , which places various establishe"}
{"subject": "math:arxiv_139982", "predicate": "proves", "object": "in recent lattice qcd studies , the feynman - hellmann theorem is often used to estimate separate co"}
{"subject": "math:arxiv_139994", "predicate": "proves", "object": "numerical solutions of a non - fickian diffusion equation belonging to a hyperbolic type are present"}
{"subject": "math:arxiv_139996", "predicate": "proves", "object": "general phenomenological theory of magnetic spin waves in ferromagnetic media is originally reformul"}
{"subject": "math:arxiv_140014", "predicate": "proves", "object": "a method based on optical interferences for measuring optical nonlinearities is presented . in a pro"}
{"subject": "math:arxiv_140036", "predicate": "proves", "object": "we consider incompressible flows between two transversely vibrating solid walls and construct an asy"}
{"subject": "math:arxiv_140040", "predicate": "proves", "object": "advective nature of the electrostatic turbulent flux of plasma energy is studied numerically in a ne"}
{"subject": "math:arxiv_140042", "predicate": "proves", "object": "effective elastic moduli for 3d solid - solid phononic crystals of arbitrary anisotropy and oblique "}
{"subject": "math:arxiv_140061", "predicate": "proves", "object": "we study numerically the effect of on  site hubbard interaction @xmath0 between two electrons in the"}
{"subject": "math:arxiv_140063", "predicate": "proves", "object": "we present several non - commutative extensions of the macmahon master theorem , further extending t"}
{"subject": "math:arxiv_140079", "predicate": "proves", "object": "gaudin hamiltonians form families of @xmath0-dimensional abelian lie subalgebras of the holonomy lie"}
{"subject": "math:arxiv_140128", "predicate": "proves", "object": "consider a gaussian stationary sequence with unit variance @xmath0 . \n assume that the central limit"}
{"subject": "math:arxiv_140129", "predicate": "proves", "object": "the space - time foam formulas , quoted below in eqs and , express the minimal amount of quantum unc"}
{"subject": "math:arxiv_140143", "predicate": "proves", "object": "the numerical integration of the benjamin and benjamin \n ono equations are considered . \n they are n"}
{"subject": "math:arxiv_140150", "predicate": "proves", "object": "the main purpose of this paper is to unify the theory of actions of hopf algebras , weak hopf algebr"}
{"subject": "math:arxiv_140155", "predicate": "proves", "object": "we give a proof to the li - yau - hamilton type inequality claimed by perelman on the fundamental so"}
{"subject": "math:arxiv_140180", "predicate": "proves", "object": "we use recoupling theory to study the kauffman bracket skein module of the quaternionic manifold ove"}
{"subject": "math:arxiv_140189", "predicate": "proves", "object": "we provide a quantum field theoretical derivation of the abraham - lorentz - dirac ( ald ) equation "}
{"subject": "math:arxiv_140212", "predicate": "proves", "object": "we present an asymptotic form of the boussinesq equations in the limit of small pclet numbers i.e. w"}
{"subject": "math:arxiv_140213", "predicate": "proves", "object": "we study sobolev - type metrics of fractional order @xmath0 on the group @xmath1 of compactly suppor"}
{"subject": "math:arxiv_140232", "predicate": "proves", "object": "we formulate a momentum - shell renormalization group ( rg ) procedure that can be used in theories "}
{"subject": "math:arxiv_140240", "predicate": "proves", "object": "in this short note , we present a construction of new symplectic @xmath0-manifolds with non - negati"}
{"subject": "math:arxiv_140246", "predicate": "proves", "object": "it is pointed out that the 60 complex rays in four dimensions associated with a system of two qubits"}
{"subject": "math:arxiv_140256", "predicate": "proves", "object": "motivated by the recent interests in spin@xmath0 massive gravitons , we study the structure of neutr"}
{"subject": "math:arxiv_140265", "predicate": "proves", "object": "the central question in quantum multi - prover interactive proof systems is whether or not entanglem"}
{"subject": "math:arxiv_140285", "predicate": "proves", "object": "a cavity - modified master equation is derived for a coherently driven , v - type three - level atom"}
{"subject": "math:arxiv_140297", "predicate": "proves", "object": "the two - component model of high temperature superconductors in its real space version has been sol"}
{"subject": "math:arxiv_140322", "predicate": "proves", "object": "starting from noncommutative quantum mechanics algebra , we investigate the variances of the deforme"}
{"subject": "math:arxiv_140331", "predicate": "proves", "object": "on a riemannian almost product manifold @xmath0 we consider a linear connection preserving the almos"}
{"subject": "math:arxiv_140334", "predicate": "proves", "object": "cellular automata can show well known features of quantum mechanics , such as a linear updating rule"}
{"subject": "math:arxiv_140340", "predicate": "proves", "object": "using recent data for the photosphere - chromosphere region of the solar atmosphere the magnetic rec"}
{"subject": "math:arxiv_140346", "predicate": "proves", "object": "we propose an axiomatic approach to the concept of an intrinsic dimension of a dataset , based on a "}
{"subject": "math:arxiv_140353", "predicate": "proves", "object": "constrained quantum dynamics is used to propose a nonlinear dynamical equation for pure states of a "}
{"subject": "math:arxiv_140358", "predicate": "proves", "object": "the scalar modes of the geometry induced by dimensional decoupling are investigated . in the context"}
{"subject": "math:arxiv_140361", "predicate": "proves", "object": "we present , for the ising model on the cayley tree , some explicit formulae of the free energies ( "}
{"subject": "math:arxiv_140365", "predicate": "proves", "object": "in this paper , the continuity and strong continuity in domain - free information algebras and label"}
{"subject": "math:arxiv_140368", "predicate": "proves", "object": "we study multiscale integrator numerical schemes for a class of stiff stochastic differential equati"}
{"subject": "math:arxiv_140370", "predicate": "proves", "object": "an explicit formula for the mean spectral measure of a random jacobi matrix is derived . \n the matri"}
{"subject": "math:arxiv_140372", "predicate": "proves", "object": "we have numerically explored the stable planetary geometry for the multiple systems involved in a 2:"}
{"subject": "math:arxiv_140388", "predicate": "proves", "object": "we describe a series of experiments and computer simulations on vibrated granular media in a geometr"}
{"subject": "math:arxiv_140401", "predicate": "proves", "object": "using a recent reformulation of the analysis of nuclear parity - violation ( pv ) using the framewor"}
{"subject": "math:arxiv_140404", "predicate": "proves", "object": "in this article we exploit the geometric structure of statistical manifolds to compare vis - a - vis"}
{"subject": "math:arxiv_140417", "predicate": "proves", "object": "we prove that fundamental groups of non - orientable 3-manifolds have a solvable conjugacy problem ,"}
{"subject": "math:arxiv_140422", "predicate": "proves", "object": "we consider here the recently proposed closed form formula in terms of the meijer g - functions for "}
{"subject": "math:arxiv_140436", "predicate": "proves", "object": "in this paper we describe by a number of examples how to deduce one single characterizing higher ord"}
{"subject": "math:arxiv_140454", "predicate": "proves", "object": "transparent scalar and pseudoscalar potentials in the one - dimensional dirac equation play an impor"}
{"subject": "math:arxiv_140468", "predicate": "proves", "object": "in this paper we propose a new numerical method for solving stochastic differential equations ( sdes"}
{"subject": "math:arxiv_140470", "predicate": "proves", "object": "an interesting method of obtaining equation of state for nuclear matter , from a density dependent m"}
{"subject": "math:arxiv_140490", "predicate": "proves", "object": "in this paper we derive the euler - lagrange equation of the functional @xmath0 in the class of symp"}
{"subject": "math:arxiv_140495", "predicate": "proves", "object": "two constructions of contact manifolds are presented : ( i ) products of @xmath0 with manifolds admi"}
{"subject": "math:arxiv_140508", "predicate": "proves", "object": "the bias - dependent resistance @xmath0 of ns - junctions is calculated using the keldysh formalism "}
{"subject": "math:arxiv_140517", "predicate": "proves", "object": "in this paper we give combinatorial proofs of the classification of unoriented and oriented rational"}
{"subject": "math:arxiv_140550", "predicate": "proves", "object": "in order to satisfy the symmetry between electric and magnetic fields in the source free maxwell s e"}
{"subject": "math:arxiv_140551", "predicate": "proves", "object": "we show that minimal length carrier graphs are not unique , but if @xmath0 is in a large class of hy"}
{"subject": "math:arxiv_140558", "predicate": "proves", "object": "we consider the class of nonlinear optimal control problems ( ocp ) with polynomial data , i.e. , th"}
{"subject": "math:arxiv_140573", "predicate": "proves", "object": "it has long been conjectured that strong interactions give rise to a hagedorn spectrum and theoretic"}
{"subject": "math:arxiv_140574", "predicate": "proves", "object": "we present a streamlined axiom system of special relativity in first - order logic . from this axiom"}
{"subject": "math:arxiv_140580", "predicate": "proves", "object": "we present a stochastic turbulence generator based on a vorticity formulation where the generated tu"}
{"subject": "math:arxiv_140582", "predicate": "proves", "object": "we present a _ fully _ flavour - covariant formalism for transport phenomena , by deriving markovian"}
{"subject": "math:arxiv_140591", "predicate": "proves", "object": "we study the polarization properties of the jitter and synchrotron radiation produced by electrons i"}
{"subject": "math:arxiv_140597", "predicate": "proves", "object": "we investigate the thermodynamic bethe ansatz ( tba ) equations for a system of particles which dyna"}
{"subject": "math:arxiv_140603", "predicate": "proves", "object": "we define wreath products of cocommutative hopf algebras , and show that they enjoy a universal prop"}
{"subject": "math:arxiv_140607", "predicate": "proves", "object": "this text gives a construction of a differential graded lie algebra in nori s category of effective "}
{"subject": "math:arxiv_140608", "predicate": "proves", "object": "the schrdinger equation for quantum dot lattices with non - cubic , non - bravais lattices built up "}
{"subject": "math:arxiv_140613", "predicate": "proves", "object": "we show that the baryonic oscillations expected in the galaxy power spectrum may be used as a `` sta"}
{"subject": "math:arxiv_140621", "predicate": "proves", "object": "we investigate the bounds on the mass of the lightest neutralino from rare meson decays within the m"}
{"subject": "math:arxiv_140627", "predicate": "proves", "object": "witten s formulation of 2 + 1 gravity is investigated on the nonorientable three - manifold @xmath0 "}
{"subject": "math:arxiv_140662", "predicate": "proves", "object": "inventing targeted proof search strategies for specific problem sets is a difficult task . \n state -"}
{"subject": "math:arxiv_140670", "predicate": "proves", "object": "the radiation reaction for a point - like charge coupled to a massive scalar field is considered . \n"}
{"subject": "math:arxiv_140684", "predicate": "proves", "object": "in this note we analyse the propagation of a small density perturbation in a one - dimensional compr"}
{"subject": "math:arxiv_140699", "predicate": "proves", "object": "we derive a general obstruction to the existence of riemannian metrics of positive scalar curvature "}
{"subject": "math:arxiv_140703", "predicate": "proves", "object": "we study the sensitivity of testing the anomalous gauge couplings @xmath0 s of the higgs boson in th"}
{"subject": "math:arxiv_140716", "predicate": "proves", "object": "this paper considers the power allocation of a single - link wireless communication with joint energ"}
{"subject": "math:arxiv_140725", "predicate": "proves", "object": "we formulate a mathematical model for daily activities of a cow ( eating , lying down , and standing"}
{"subject": "math:arxiv_140765", "predicate": "proves", "object": "the purpose of this paper is to seek a connection between noncommutative geometry , an offshoot of s"}
{"subject": "math:arxiv_140776", "predicate": "proves", "object": "magnetic flux quanta , of value @xmath0 , in long josephson junctions behave as ( quasi ) solitons ."}
{"subject": "math:arxiv_140786", "predicate": "proves", "object": "we derive the second - order hydrodynamic equation for reactive multi - component systems from the r"}
{"subject": "math:arxiv_140810", "predicate": "proves", "object": "the approach of metric  affine field theory is to define spacetime as a real oriented 4-manifold equ"}
{"subject": "math:arxiv_140829", "predicate": "proves", "object": "in this paper a set of analytic formulae are presented with which the partial derivatives of the flu"}
{"subject": "math:arxiv_140848", "predicate": "proves", "object": "we study the role of helicity in the dynamics of energy transfer in a modified version of the navier"}
{"subject": "math:arxiv_140854", "predicate": "proves", "object": "a spin - flavor symmetry emerges for baryons in the large-@xmath0 limit . \n large-@xmath0 baryons fo"}
{"subject": "math:arxiv_140859", "predicate": "proves", "object": "we provide here a new class of interior solutions for anisotropic stars admitting conformal motion i"}
{"subject": "math:arxiv_140864", "predicate": "proves", "object": "compact stars consisting of massless quark matter and fermionic dark matter are studied by solving t"}
{"subject": "math:arxiv_140865", "predicate": "proves", "object": "we construct a new relativistic viscous hydrodynamics code optimized in the milne coordinates . \n we"}
{"subject": "math:arxiv_140866", "predicate": "proves", "object": "we develop a hamiltonian theory for a time dispersive and dissipative ( tdd ) inhomogeneous medium ,"}
{"subject": "math:arxiv_140893", "predicate": "proves", "object": "this paper studies rescaled images , under @xmath0 , of the sample frchet means of i.i.d . \n random "}
{"subject": "math:arxiv_140914", "predicate": "proves", "object": "the cartan control problem of the quantum circuits discussed from the differential geometry point of"}
{"subject": "math:arxiv_140920", "predicate": "proves", "object": "we prove the coleman s conjecture on the equivalence between the massless sine - gordon model with f"}
{"subject": "math:arxiv_140933", "predicate": "proves", "object": "i report on a study of finite temperature qcd by the cp - pacs collaboration toward a precise determ"}
{"subject": "math:arxiv_140944", "predicate": "proves", "object": "although the exact bethe - salpeter equation is certainly the appropriate field - theoretic framewor"}
{"subject": "math:arxiv_140954", "predicate": "proves", "object": "a time - dependent phenomenological model of @xmath0 , viz . \n , @xmath1 is selected to investigate "}
{"subject": "math:arxiv_140955", "predicate": "proves", "object": "we carry out numerical simulations of vesicle formation based on the density functional theory for b"}
{"subject": "math:arxiv_140958", "predicate": "proves", "object": "we couple a conformal scalar field in ( 2 + 1 ) dimensions to einstein - cartan gravity . \n the fiel"}
{"subject": "math:arxiv_140959", "predicate": "proves", "object": "several approaches to hawking radiation on schwarzschild spacetime rely in some way or another on th"}
{"subject": "math:arxiv_140967", "predicate": "proves", "object": "we present an alternative `` encapsulated '' formulation of the selective frequency damping method f"}
{"subject": "math:arxiv_140975", "predicate": "proves", "object": "we give a simple unified proof for several disparate bounds on thurston \n bennequin number for legen"}
{"subject": "math:arxiv_140985", "predicate": "proves", "object": "we adapt the well known `` displace , cut and reflect '' method to construct exact solutions of the "}
{"subject": "math:arxiv_141000", "predicate": "proves", "object": "tap - proof long - distance quantum communication requires a deep understanding of the strong losses"}
{"subject": "math:arxiv_141007", "predicate": "proves", "object": "we give explicit formulas for the adjoint twisted alexander polynomial and the nonabelian reidemeist"}
{"subject": "math:arxiv_141012", "predicate": "proves", "object": "the role of symmetry of the inelastic light scattering amplitude , the superconducting energy gap , "}
{"subject": "math:arxiv_141013", "predicate": "proves", "object": "brooks theorem states that a connected graph @xmath0 of maximum degree @xmath1 has chromatic number "}
{"subject": "math:arxiv_141031", "predicate": "proves", "object": "it is known that lagrangian torus fibers of the moment map of a toric fano manifold @xmath0 , equipp"}
{"subject": "math:arxiv_141043", "predicate": "proves", "object": "we consider cosmological models with a scalar field with equation of state @xmath0 that contract tow"}
{"subject": "math:arxiv_141056", "predicate": "proves", "object": "in this paper we partially settle our conjecture from @xcite on the roots of eigenpolynomials for de"}
{"subject": "math:arxiv_141058", "predicate": "proves", "object": "we derive the bayes estimator for the parameters of a multinomial distribution under two loss functi"}
{"subject": "math:arxiv_141081", "predicate": "proves", "object": "the differential equation in the external invariant @xmath0 satisfied by the master integral of the "}
{"subject": "math:arxiv_141105", "predicate": "proves", "object": "in the present paper we investigate coherent bremsstrahlung of high energy electrons moving in a per"}
{"subject": "math:arxiv_141114", "predicate": "proves", "object": "a lattice based method will be presented for numerical investigations of ricci flow . \n the method w"}
{"subject": "math:arxiv_141136", "predicate": "proves", "object": "we give a new proof of a theorem by le gall & paulin , showing that scaling limits of random planar "}
{"subject": "math:arxiv_141151", "predicate": "proves", "object": "using an identity , directly derived from the young - laplace equation , the problem of the equilibr"}
{"subject": "math:arxiv_141157", "predicate": "proves", "object": "we derive a fluctuation theorem for generalized work distributions , related to bijective mappings o"}
{"subject": "math:arxiv_141161", "predicate": "proves", "object": "the existence of a solution to the two dimensional incompressible euler equations in singular domain"}
{"subject": "math:arxiv_141169", "predicate": "proves", "object": "we obtain the exact solution of the schrdinger equation for a particle ( galaxy ) moving in a newton"}
{"subject": "math:arxiv_141172", "predicate": "proves", "object": "in this paper we present a simple proof of the strong converse for identification via discrete memor"}
{"subject": "math:arxiv_141203", "predicate": "proves", "object": "these notes provide an introduction and a survey on recent results about the long - time behaviour o"}
{"subject": "math:arxiv_141207", "predicate": "proves", "object": "we describe , by matrix factorizations , all the rank two maximal cohen  macaulay modules over singu"}
{"subject": "math:arxiv_141228", "predicate": "proves", "object": "we study hierarchies of replica - symmetry - breaking solutions of the sherrington - kirkpatrick mod"}
{"subject": "math:arxiv_141237", "predicate": "proves", "object": "using advanced numerical magneto - hydrodynamic simulations of the magnetised solar photosphere , in"}
{"subject": "math:arxiv_141247", "predicate": "proves", "object": "this paper is devoted to the study of the stability of limit cycles of a nonlinear delay differentia"}
{"subject": "math:arxiv_141259", "predicate": "proves", "object": "we review briefly the fundamental equations of a semi - microscopic core - particle coupling method "}
{"subject": "math:arxiv_141273", "predicate": "proves", "object": "the effects of temperature on strange stars are studied and it is found that the maximum mass of the"}
{"subject": "math:arxiv_141283", "predicate": "proves", "object": "propagation of a two - photon pulse in a waveguide coupled to a two - level system ( tls ) is studie"}
{"subject": "math:arxiv_141291", "predicate": "proves", "object": "a method is proposed to pin down an unambiguous proof for single molecule surface enhanced raman spe"}
{"subject": "math:arxiv_141297", "predicate": "proves", "object": "in this paper we introduce an algebraic recursive multilevel incomplete factorization preconditioner"}
{"subject": "math:arxiv_141301", "predicate": "proves", "object": "in this work we consider a stochastic differential equation ( sdes ) with jump . \n we prove the exis"}
{"subject": "math:arxiv_141310", "predicate": "proves", "object": "random resolution , defined by buss , kolodziejczyk and thapen ( jsl , 2014 ) , is a sound propositi"}
{"subject": "math:arxiv_141318", "predicate": "proves", "object": "we have constructed equations of state involving various exotic forms of matter with large strangene"}
{"subject": "math:arxiv_141322", "predicate": "proves", "object": "a fresh look at the renormalization group ( in the sense of stckelberg - petermann ) from the point "}
{"subject": "math:arxiv_141324", "predicate": "proves", "object": "we present an approach to obtain new forms of the nuclear electromagnetic current , which is based o"}
{"subject": "math:arxiv_141333", "predicate": "proves", "object": "j.s . bell believed that his famous theorem entailed a deep and troubling conflict between the empir"}
{"subject": "math:arxiv_141344", "predicate": "proves", "object": "angular power spectrum of the cosmic microwave background ( cmb ) temperature anisotropies is one of"}
{"subject": "math:arxiv_141357", "predicate": "proves", "object": "on the base of the quantum kinetic equation for density matrix in plasma at the stimulated bremsstra"}
{"subject": "math:arxiv_141394", "predicate": "proves", "object": "the recently formulated framework of anisotropic hydrodynamics is used in 3 + 1 dimensions to study "}
{"subject": "math:arxiv_141402", "predicate": "proves", "object": "in this article , we calculate the dressed quark propagator with the flat bottom potential in the fr"}
{"subject": "math:arxiv_141403", "predicate": "proves", "object": "though individual stellar parameters of compact stars usually demonstrate obvious dependence on the "}
{"subject": "math:arxiv_141404", "predicate": "proves", "object": "this paper discusses the relationship between kepler s laws and euclidean geometry . \n many of the t"}
{"subject": "math:arxiv_141414", "predicate": "proves", "object": "we present a first numerical investigation of the accuracy of the recently proposed _ \n non - classi"}
{"subject": "math:arxiv_141418", "predicate": "proves", "object": "the paper proposes a different method of solving a simplified version of the black - scholes equatio"}
{"subject": "math:arxiv_141420", "predicate": "proves", "object": "the theory of the depinning transition of elastic manifolds in random media provides a framework for"}
{"subject": "math:arxiv_141446", "predicate": "proves", "object": "we give a closed formula for the conway function of a splice in terms of the conway function of its "}
{"subject": "math:arxiv_141448", "predicate": "proves", "object": "we formulate gaussian and circular random - matrix models representing a coupled system consisting o"}
{"subject": "math:arxiv_141458", "predicate": "proves", "object": "we study here the large - time behaviour of all continuous affine stochastic volatility models ( in "}
{"subject": "math:arxiv_141461", "predicate": "proves", "object": "an elementary introduction is given to the problem of black hole entropy as formulated by bekenstein"}
{"subject": "math:arxiv_141477", "predicate": "proves", "object": "conventional approaches for simulating steady - state distributions of particles under diffusive and"}
{"subject": "math:arxiv_141489", "predicate": "proves", "object": "in this report , we consider a semi - infinite discrete nonlinear schrdinger equation driven at one "}
{"subject": "math:arxiv_141496", "predicate": "proves", "object": "we consider the classical algebra of observables that are diagonal in a given orthonormal basis , an"}
{"subject": "math:arxiv_141502", "predicate": "proves", "object": "we present a new way to formulate the geometry of the cosmic web in terms of lagrangian space . \n th"}
{"subject": "math:arxiv_141506", "predicate": "proves", "object": "a simple radiation condition at infinity for time - harmonic massive dirac spinors is proposed . \n t"}
{"subject": "math:arxiv_141509", "predicate": "proves", "object": "using a recently introduced formulation of the ground - state inverse design problem for a targeted "}
{"subject": "math:arxiv_141514", "predicate": "proves", "object": "a random group contains many subgroups which are isomorphic to the fundamental group of a compact hy"}
{"subject": "math:arxiv_141518", "predicate": "proves", "object": "by proving a local limit theorem for higher - order transitions , we determine the time required for"}
{"subject": "math:arxiv_141522", "predicate": "proves", "object": "bounded treewidth and monadic second order ( mso ) logic have proved to be key concepts in establish"}
{"subject": "math:arxiv_141526", "predicate": "proves", "object": "in this paper we consider the stabilization of non - fundamental unstable stationary solutions of th"}
{"subject": "math:arxiv_141527", "predicate": "proves", "object": "we introduce a new fractional oscillator process which can be obtained as solution of a stochastic d"}
{"subject": "math:arxiv_141541", "predicate": "proves", "object": "we investigate the crossed josephson effect in a geometry consisting of a double ferromagnetic bridg"}
{"subject": "math:arxiv_141546", "predicate": "proves", "object": "due to our ignorance of the equation of state ( eos ) beyond nuclear density , there is still no uni"}
{"subject": "math:arxiv_141553", "predicate": "proves", "object": "we establish doubly - exponential degree bounds for grbner bases in certain algebras of solvable typ"}
{"subject": "math:arxiv_141563", "predicate": "proves", "object": "we discuss the occurrence of cracking in charged anisotropic polytropes with generalized polytropic "}
{"subject": "math:arxiv_141569", "predicate": "proves", "object": "we give a short elementary proof of tutte and nash - williams characterization of graphs with @xmath"}
{"subject": "math:arxiv_141574", "predicate": "proves", "object": "the quark - meson coupling model due to guichon is formulated on the basis of the independent quark "}
{"subject": "math:arxiv_141584", "predicate": "proves", "object": "the partition algebra @xmath0 and the symmetric group @xmath1 are in schur - weyl duality on the @xm"}
{"subject": "math:arxiv_141594", "predicate": "proves", "object": "we address the physical meaning of hydrodynamic approach related with the coarse graining scale in t"}
{"subject": "math:arxiv_141616", "predicate": "proves", "object": "using a blend of combinatorics and geometry , we give an algorithm for algebraically finding all fla"}
{"subject": "math:arxiv_141622", "predicate": "proves", "object": "we disprove a conjecture in density functional theory , relative to multimarginal optimal transport "}
{"subject": "math:arxiv_141630", "predicate": "proves", "object": "we analyze 45 spectropolarimetric observations of the eclipsing , interacting binary star v356 sgr ,"}
{"subject": "math:arxiv_141638", "predicate": "proves", "object": "we present novel , analytical , equilibrium - chemistry formulae for the abundances of molecules in "}
{"subject": "math:arxiv_141666", "predicate": "proves", "object": "we prove properness of moduli stacks of gauged maps satisfying a stability conditition introduced by"}
{"subject": "math:arxiv_141717", "predicate": "proves", "object": "this paper presents a new construction of the @xmath0-fold metaplectic cover of @xmath1 over an alge"}
{"subject": "math:arxiv_141729", "predicate": "proves", "object": "we investigate the alternating sum of the @xmath0-adic cohomology of the rapoport - zink tower for g"}
{"subject": "math:arxiv_141774", "predicate": "proves", "object": "the main object of this paper is the planar wave equation @xmath0 with random source @xmath1 . \n the"}
{"subject": "math:arxiv_141784", "predicate": "proves", "object": "in this article we construct three explicit natural subgroups of the brauer - picard group of the ca"}
{"subject": "math:arxiv_141801", "predicate": "proves", "object": "we numerically investigate the thermally unstable accretion disks around black holes . \n we adopt an"}
{"subject": "math:arxiv_141805", "predicate": "proves", "object": "this paper surveys abelian and tauberian theorems for long - range dependent random fields . \n we de"}
{"subject": "math:arxiv_141821", "predicate": "proves", "object": "let @xmath0 be a one - cusped hyperbolic manifold . \n a slope on the boundary of the compact core of"}
{"subject": "math:arxiv_141828", "predicate": "proves", "object": "the possibility to avoid the cosmic initial singularity as a consequence of nonlinear effects on the"}
{"subject": "math:arxiv_141836", "predicate": "proves", "object": "motivated by known results for finite tournaments , we define and study the score functions of tourn"}
{"subject": "math:arxiv_141837", "predicate": "proves", "object": "a poset is @xmath0-free if it does not contain the disjoint union of chains of length 3 and 1 as an "}
{"subject": "math:arxiv_141844", "predicate": "proves", "object": "phase sensitivity and thermal dephasing in coherent electron transport in quasi one - dimensional ( "}
{"subject": "math:arxiv_141845", "predicate": "proves", "object": "the meissner effect in diffusive normal metal / insulator / @xmath0-wave superconductor junctions is"}
{"subject": "math:arxiv_141868", "predicate": "proves", "object": "we give an algebraic characterization of the tree languages that are defined by logical formulas usi"}
{"subject": "math:arxiv_141877", "predicate": "proves", "object": "interrelations between discrete deformations of the structure constants for associative algebras and"}
{"subject": "math:arxiv_141881", "predicate": "proves", "object": "a transient mie - like solution for acoustic scattering from a spherical object is derived within a "}
{"subject": "math:arxiv_141888", "predicate": "proves", "object": "we present a novel formulation for biochemical reaction networks in the context of protein signal tr"}
{"subject": "math:arxiv_141889", "predicate": "proves", "object": "we present a new code designed to solve the equations of classical ideal magnetohydrodynamics ( mhd "}
{"subject": "math:arxiv_141903", "predicate": "proves", "object": "we study population dynamics of a trapped spin-1 bose gas above the bose - einstein transition tempe"}
{"subject": "math:arxiv_141908", "predicate": "proves", "object": "signaling molecules play an important role for many cellular functions . we investigate here a gener"}
{"subject": "math:arxiv_141929", "predicate": "proves", "object": "we compute the shear viscosity of the unitary fermi gas above the superfluid transition temperature "}
{"subject": "math:arxiv_141944", "predicate": "proves", "object": "the emergence of new techniques for the fabrication of nematic droplets with nontrivial topology pro"}
{"subject": "math:arxiv_141951", "predicate": "proves", "object": "the existence of a contact structure is proved in any homotopy class of almost contact structures on"}
{"subject": "math:arxiv_141953", "predicate": "proves", "object": "we treat secret key extraction when the eavesdropper has correlated quantum states . \n we propose qu"}
{"subject": "math:arxiv_141964", "predicate": "proves", "object": "the paper examines weak localization ( wl ) of surface states with a quadratic band crossing in topo"}
{"subject": "math:arxiv_141968", "predicate": "proves", "object": "pyroxenes with the general formula @xmath0si@xmath1o@xmath2 ( @xmath3 = mono- or divalent metal , @x"}
{"subject": "math:arxiv_141978", "predicate": "proves", "object": "scattering lengths for two pseudoscalar meson systems , @xmath0 , @xmath1 and @xmath2 , are calculat"}
{"subject": "math:arxiv_142005", "predicate": "proves", "object": "we give an overview on the @xmath0-geometry defined for isolated hypersurface singularities and tame"}
{"subject": "math:arxiv_142008", "predicate": "proves", "object": "this paper is devoted to study the charged perfect fluid cylindrical gravitational collapse . for th"}
{"subject": "math:arxiv_142042", "predicate": "proves", "object": "we present approximate analytical solutions to the hamiltonian and momentum constraint equations , c"}
{"subject": "math:arxiv_142058", "predicate": "proves", "object": "we provide the explicit solutions of linear , left - invariant , ( convection)-diffusion equations a"}
{"subject": "math:arxiv_142061", "predicate": "proves", "object": "the schrdinger  newton equation has been proposed as an experimentally testable alternative to quant"}
{"subject": "math:arxiv_142068", "predicate": "proves", "object": "the inviscid limit of the stochastic burgers equation is discussed in terms of the level surfaces of"}
{"subject": "math:arxiv_142088", "predicate": "proves", "object": "limit theorems for the normalized laws with respect to two kinds of weight functionals are studied f"}
{"subject": "math:arxiv_142105", "predicate": "proves", "object": "we study the @xmath0 boundedness of riesz transform as well as the reverse inequality on riemannian "}
{"subject": "math:arxiv_142109", "predicate": "proves", "object": "a skyrme - like effective interaction is built up from the equation of state of nuclear matter . \n t"}
{"subject": "math:arxiv_142126", "predicate": "proves", "object": "we give a unified explanation of the geometric and algebraic properties of two well - known maps , o"}
{"subject": "math:arxiv_142145", "predicate": "proves", "object": "we prove that any 4-dimensional geodesically complete spacetime with a timelike killing field satisf"}
{"subject": "math:arxiv_142146", "predicate": "proves", "object": "the geometrical structure of a real four - dimensional space - time has been extended via the conser"}
{"subject": "math:arxiv_142147", "predicate": "proves", "object": "we present a new semiclassical theory for describing pairing in finite fermi systems . \n it is based"}
{"subject": "math:arxiv_142148", "predicate": "proves", "object": "we study spatial networks constructed by randomly placing nodes on a manifold and joining two nodes "}
{"subject": "math:arxiv_142156", "predicate": "proves", "object": "a digit function is presented which provides the @xmath0th - digit in base @xmath1 of any real numbe"}
{"subject": "math:arxiv_142163", "predicate": "proves", "object": "quantum and @xmath0-deformed algebras find their application not only in mathematical physics and fi"}
{"subject": "math:arxiv_142171", "predicate": "proves", "object": "we consider planar hairy black holes in five dimensions with a real scalar field in the breitenlohne"}
{"subject": "math:arxiv_142176", "predicate": "proves", "object": "let @xmath0 be a complex banach space . \n the connection between algebra homomorphisms defined on su"}
{"subject": "math:arxiv_142182", "predicate": "proves", "object": "scattering theory is employed to derive a landauer - type formula for the spin and the charge curren"}
{"subject": "math:arxiv_142207", "predicate": "proves", "object": "the standard model of particle physics can be deduced from a small number of axioms within connes no"}
{"subject": "math:arxiv_142226", "predicate": "proves", "object": "we consider a locally trivial fiber bundle @xmath0 over a compact oriented two - dimensional manifol"}
{"subject": "math:arxiv_142229", "predicate": "proves", "object": "valiant introduced some 25 years ago an algebraic model of computation along with the complexity cla"}
{"subject": "math:arxiv_142231", "predicate": "proves", "object": "we have conducted a series of investigations on the geometry of the reddening material in agns , whi"}
{"subject": "math:arxiv_142235", "predicate": "proves", "object": "we present theoretical and numerical investigations of vortices driven by strong dc and ac currents "}
{"subject": "math:arxiv_142244", "predicate": "proves", "object": "* abstract.*with the example of the spherically symmetric scalar wave equation on minkowski space - "}
{"subject": "math:arxiv_142276", "predicate": "proves", "object": "let x be a closed smooth 4-manifold . \n in the theory of the seiberg - witten equations , the config"}
{"subject": "math:arxiv_142287", "predicate": "proves", "object": "this is an informal review of the formulation of canonical general relativity and of its implication"}
{"subject": "math:arxiv_142300", "predicate": "proves", "object": "we analyze the motion of an electric charge in the field of a magnetically charged event in three - "}
{"subject": "math:arxiv_142306", "predicate": "proves", "object": "we derive the effective coarse - grained field equation for the scalar condensate of the linear sigm"}
{"subject": "math:arxiv_142325", "predicate": "proves", "object": "we present a perturbative approach to derive the semiclassical equations of motion for the two - dim"}
{"subject": "math:arxiv_142326", "predicate": "proves", "object": "an inequality providing some bounds for the integral mean via pompeiu s mean value theorem and appli"}
{"subject": "math:arxiv_142340", "predicate": "proves", "object": "different ways of modelling quantum control systems , formulating control problems and solving the r"}
{"subject": "math:arxiv_142376", "predicate": "proves", "object": "an unsteady problem is considered for a space - fractional equation in a bounded domain . \n a first "}
{"subject": "math:arxiv_142380", "predicate": "proves", "object": "the aim of this paper is twofold . on one hand , \n the additive solvability of the system of functio"}
{"subject": "math:arxiv_142381", "predicate": "proves", "object": "i present a new , simple method to dynamically control the growth of the discretized constraints dur"}
{"subject": "math:arxiv_142398", "predicate": "proves", "object": "in 1990 bender , canfield and mckay gave an asymptotic formula for the number of connected graphs on"}
{"subject": "math:arxiv_142410", "predicate": "proves", "object": "by rewriting the famous hook - content formula it easily follows that there are @xmath0 semistandard"}
{"subject": "math:arxiv_142412", "predicate": "proves", "object": "class of spherically symmetric stephani cosmological models is examined in the context of evolution "}
{"subject": "math:arxiv_142415", "predicate": "proves", "object": "we formulate a simple and convenient criterion under which skew - adjoint @xmath0-graded total diffe"}
{"subject": "math:arxiv_142422", "predicate": "proves", "object": "bosonic formulation of the negative energy sea , so called dirac sea , is proposed by constructing a"}
{"subject": "math:arxiv_142435", "predicate": "proves", "object": "the geometry of a light wavefront evolving in the 3space associated with a post - newtonian relativi"}
{"subject": "math:arxiv_142454", "predicate": "proves", "object": "this article explores  structures  also known as strongly homotopy lie algebras   on 3-dimensional v"}
{"subject": "math:arxiv_142476", "predicate": "proves", "object": "we examine how nuclear masses are related to the density dependence of the symmetry energy . using a"}
{"subject": "math:arxiv_142477", "predicate": "proves", "object": "by solving radiative transfer equations , we examine three - dimensional radiative properties of a m"}
{"subject": "math:arxiv_142483", "predicate": "proves", "object": "we explicitly describe two - sided ideals in leavitt path algebras associated with a row - finite gr"}
{"subject": "math:arxiv_142492", "predicate": "proves", "object": "recently cristian s. calude , sanjay jain , bakhadyr khoussainov , wei li and frank stephan proposed"}
{"subject": "math:arxiv_142513", "predicate": "proves", "object": "this paper addresses the fundamental question of when convex sets remain disjoint after random proje"}
{"subject": "math:arxiv_142517", "predicate": "proves", "object": "power series expansions naturally arise whenever solutions of ordinary differential equations are st"}
{"subject": "math:arxiv_142529", "predicate": "proves", "object": "the theorem on squaring a rectangle ( see schramm @xcite and cannon - floyd - parry @xcite ) gives a"}
{"subject": "math:arxiv_142543", "predicate": "proves", "object": "this paper presents a stochastic geometry model for the investigation of fundamental information the"}
{"subject": "math:arxiv_142573", "predicate": "proves", "object": "a coupled bbm system of equations is studied in the situation of water waves propagating over decrea"}
{"subject": "math:arxiv_142574", "predicate": "proves", "object": "in this paper we have studied the problem of scalar particles pair creation by an electric field in "}
{"subject": "math:arxiv_142595", "predicate": "proves", "object": "we examine how lensing tomography with the bispectrum and power spectrum can constrain cosmological "}
{"subject": "math:arxiv_142610", "predicate": "proves", "object": "we present the first stable dynamical numerical evolutions of the einstein equations in terms of a c"}
{"subject": "math:arxiv_142628", "predicate": "proves", "object": "thermal conductivity of single layer black phosphorus ( bp ) is investigated by combining density fu"}
{"subject": "math:arxiv_142630", "predicate": "proves", "object": "we analyze the hamiltonian quantization of chern - simons theory associated to the real group @xmath"}
{"subject": "math:arxiv_142631", "predicate": "proves", "object": "in this paper we obtain the general solution to the minimal surface equation , namely its local weie"}
{"subject": "math:arxiv_142643", "predicate": "proves", "object": "a well known consequence of the borsuk - ulam theorem is that if the @xmath0-dimensional sphere @xma"}
{"subject": "math:arxiv_142649", "predicate": "proves", "object": "we calculate the laplace transform of the cut - and - join equation of goulden , jackson and vakil ."}
{"subject": "math:arxiv_142656", "predicate": "proves", "object": "we propose an experimental scheme to detect macroscopic klein tunneling with spin - orbit coupled bo"}
{"subject": "math:arxiv_142678", "predicate": "proves", "object": "in this paper we describe an algorithm and deduce the related mathematical formulae that allows the "}
{"subject": "math:arxiv_142685", "predicate": "proves", "object": "for @xmath0 , write @xmath1 , with each @xmath2 and @xmath3 for infinitely many @xmath4 . \n let @xma"}
{"subject": "math:arxiv_142689", "predicate": "proves", "object": "we present the program evolfmc v.2 that solves the evolution equations in qcd for the parton momentu"}
{"subject": "math:arxiv_142740", "predicate": "proves", "object": "in the language of differential geometry , the incompressible inviscid euler equations can be writte"}
{"subject": "math:arxiv_142777", "predicate": "proves", "object": "we present simple formulae for calculating the skewness and kurtosis of the aperture mass statistic "}
{"subject": "math:arxiv_142782", "predicate": "proves", "object": "we quantize the recent hydrodynamic analysis of stringari for the low - energy collective modes of a"}
{"subject": "math:arxiv_142798", "predicate": "proves", "object": "we formulate , and in some cases prove , three statements concerning the purity or , more generally "}
{"subject": "math:arxiv_142805", "predicate": "proves", "object": "we apply lescop s construction of @xmath0-equivariant perturbative invariant of knots and 3-manifold"}
{"subject": "math:arxiv_142814", "predicate": "proves", "object": "in this paper , we loosen the zero equation of state of dark matter to a constant @xmath0 . by using"}
{"subject": "math:arxiv_142821", "predicate": "proves", "object": "natural modes of helical structures are treated by using the periodic dyadic green s functions in cy"}
{"subject": "math:arxiv_142826", "predicate": "proves", "object": "we investigate the effect of contact geometry on the instantaneous thermoelectric response of a quan"}
{"subject": "math:arxiv_142828", "predicate": "proves", "object": "the conte  musette method has been modified for the search of only elliptic solutions to systems of "}
{"subject": "math:arxiv_142846", "predicate": "proves", "object": "we give an elementary geometric proof using ford circles that the convergents of the continued fract"}
{"subject": "math:arxiv_142847", "predicate": "proves", "object": "we give a constructive proof for the existence of a unique rational motion of minimal degree in the "}
{"subject": "math:arxiv_142868", "predicate": "proves", "object": "we give a counterexample to the kawauchi conjecture on the conway polynomial of achiral knots which "}
{"subject": "math:arxiv_142877", "predicate": "proves", "object": "we propose a method for the treatment of two  point boundary value problems given by nonlinear ordin"}
{"subject": "math:arxiv_142881", "predicate": "proves", "object": "this paper considers properties of nonlinear waves and solitons of korteweg - de vries equation in t"}
{"subject": "math:arxiv_142886", "predicate": "proves", "object": "in an earlier publication , we have introduced a method to obtain , at large @xmath0 , the effective"}
{"subject": "math:arxiv_142906", "predicate": "proves", "object": "we consider the hamiltonian constraint formulation of classical field theories , which treats spacet"}
{"subject": "math:arxiv_142936", "predicate": "proves", "object": "image distortion due to weak gravitational lensing is examined using a non - perturbative method of "}
{"subject": "math:arxiv_142960", "predicate": "proves", "object": "we prove the fractal crumpled structure of collapsed unknotted polymer ring . in this state \n the po"}
{"subject": "math:arxiv_142968", "predicate": "proves", "object": "using dglap evolution equation with the corrections of parton recombinations , the flavor asymmetric"}
{"subject": "math:arxiv_142975", "predicate": "proves", "object": "in this work we study weighted radon transforms in multidimensions . \n we introduce an analog of cha"}
{"subject": "math:arxiv_142985", "predicate": "proves", "object": "some time ago we have derived from the qcd lagrangian an equation of state ( eos ) for the cold quar"}
{"subject": "math:arxiv_142992", "predicate": "proves", "object": "let @xmath0 be a classical complex lie group , @xmath1 any parabolic subgroup of @xmath0 , and @xmat"}
{"subject": "math:arxiv_142998", "predicate": "proves", "object": "we give an algorithm to compute the @xmath0-primality of finitely generated atomic monoids . \n asymp"}
{"subject": "math:arxiv_143003", "predicate": "proves", "object": "the problem of laplacian growth in two dimensions is considered within the loewner - equation framew"}
{"subject": "math:arxiv_143009", "predicate": "proves", "object": "it has been over 200 years since gauss s and legendre s famous priority dispute on who discovered th"}
{"subject": "math:arxiv_143012", "predicate": "proves", "object": "we investigate the cosmology of a class of model with noncanonical scalar field and matter in an ani"}
{"subject": "math:arxiv_143020", "predicate": "proves", "object": "this paper is a demonstration of how the wkb approximation can be used to help solve the linearised "}
{"subject": "math:arxiv_143025", "predicate": "proves", "object": "in this paper , we study superconvergence properties of the local discontinuous galerkin method for "}
{"subject": "math:arxiv_143026", "predicate": "proves", "object": "in a previous paper we obtained formulae for the volume of a causal diamond or alexandrov open set @"}
{"subject": "math:arxiv_143036", "predicate": "proves", "object": "the implicit graph conjecture states that every sufficiently small , hereditary graph class has a la"}
{"subject": "math:arxiv_143045", "predicate": "proves", "object": "we present a canonical phase space approach to stochastic systems described by langevin equations dr"}
{"subject": "math:arxiv_143077", "predicate": "proves", "object": "we study a liquid jet that breaks up into drops in an external co - flowing liquid inside a confinin"}
{"subject": "math:arxiv_143101", "predicate": "proves", "object": "we study the witten  reshetikhin \n turaev su(2 ) invariant for the seifert manifolds @xmath0 where @"}
{"subject": "math:arxiv_143107", "predicate": "proves", "object": "the isospin diffusion and other irreversible phenomena are discussed for a two - component nuclear f"}
{"subject": "math:arxiv_143124", "predicate": "proves", "object": "* abstract . * we give an approach to exponential stability within the framework of evolutionary equ"}
{"subject": "math:arxiv_143133", "predicate": "proves", "object": "possible coexistence and/or competition of kaon condensation with hyperons are investigated in hyper"}
{"subject": "math:arxiv_143139", "predicate": "proves", "object": "by minimizing the difference between the left- and the right - hand sides of the many - body time - "}
{"subject": "math:arxiv_143156", "predicate": "proves", "object": "in the framework of finite temperature conformal scalar field theory on de sitter space - time the l"}
{"subject": "math:arxiv_143160", "predicate": "proves", "object": "using density functional molecular dynamics simulations , we determine the equation of state for hyd"}
{"subject": "math:arxiv_143173", "predicate": "proves", "object": "we review recent work concerning the @xmath0 interaction and faddeev equations with chiral dynamics "}
{"subject": "math:arxiv_143176", "predicate": "proves", "object": "in this article we study asymptotic properties of weighted samples produced by the auxiliary particl"}
{"subject": "math:arxiv_143180", "predicate": "proves", "object": "the large - scale energy spectrum in two - dimensional turbulence governed by the surface quasi - ge"}
{"subject": "math:arxiv_143196", "predicate": "proves", "object": "we study the effect of lower dimensional geometry on the frequencies of the collective oscillations "}
{"subject": "math:arxiv_143204", "predicate": "proves", "object": "in the theory of continued fractions , zaremba s conjecture states that there is a positive integer "}
{"subject": "math:arxiv_143205", "predicate": "proves", "object": "in this note , we develop a theory of euler - poincar reduction for discrete lagrangian field theori"}
{"subject": "math:arxiv_143213", "predicate": "proves", "object": "the continuum discretized coupled channels ( cdcc ) method is compared to the exact solution of the "}
{"subject": "math:arxiv_143216", "predicate": "proves", "object": "bell s theorem is a fundamental theorem in physics concerning the incompatibility between some corre"}
{"subject": "math:arxiv_143227", "predicate": "proves", "object": "in this paper , partially invariant solutions ( piss ) method is applied in order to obtain new four"}
{"subject": "math:arxiv_143249", "predicate": "proves", "object": "the article is devoted to investigation of the classes of functions belonging to the gaps between cl"}
{"subject": "math:arxiv_143254", "predicate": "proves", "object": "we study the existence of geometrically controlled branched covering maps from @xmath0 to open @xmat"}
{"subject": "math:arxiv_143282", "predicate": "proves", "object": "the sperner and tucker lemmas are combinatorial analogous of the brouwer and borsuk - ulam theorems "}
{"subject": "math:arxiv_143292", "predicate": "proves", "object": "we construct a mean - field formulation of the thermodynamics of ion solvation in immiscible polar b"}
{"subject": "math:arxiv_143297", "predicate": "proves", "object": "an identity that relates multipolar solutions of the einstein equations to newtonian potentials of b"}
{"subject": "math:arxiv_143308", "predicate": "proves", "object": "we present a detailed analytical and numerical study of nonequilibrium dynamics for the complex ginz"}
{"subject": "math:arxiv_143309", "predicate": "proves", "object": "ahlswede and khachatrian s diametric theorem is a weighted version of their complete intersection th"}
{"subject": "math:arxiv_143321", "predicate": "proves", "object": "in this paper , we study the decoherence property of synchronization master equation for networks of"}
{"subject": "math:arxiv_143339", "predicate": "proves", "object": "this article presents a rigorous proof of the riemann mapping theorem via riemann s method , uncompr"}
{"subject": "math:arxiv_143343", "predicate": "proves", "object": "the vortex filament equation ( vfe ) is part of an integrable hierarchy of filament equations . \n se"}
{"subject": "math:arxiv_143345", "predicate": "proves", "object": "in this note we clarify the relationship between the null geodesic completeness of an einstein loren"}
{"subject": "math:arxiv_143360", "predicate": "proves", "object": "with the solar and sn87a neutrino observations as proofs of concepts , the kilometer - scale neutrin"}
{"subject": "math:arxiv_143382", "predicate": "proves", "object": "the effects of quantum entropy on the bag constant are studied at low temperatures and small chemica"}
{"subject": "math:arxiv_143386", "predicate": "proves", "object": "the quasi  equilibrium or maximum entropy approximation is applied in order to derive constitutive e"}
{"subject": "math:arxiv_143388", "predicate": "proves", "object": "we give an overview of various recent results concerning the topology of symplectic 4-manifolds and "}
{"subject": "math:arxiv_143392", "predicate": "proves", "object": "we consider a very complicated system of some latticized differential equations that is considered a"}
{"subject": "math:arxiv_143398", "predicate": "proves", "object": "a new framework for deriving equations of motion for constrained quantum systems is introduced , and"}
{"subject": "math:arxiv_143399", "predicate": "proves", "object": "we study the solutions of the nonstationary incompressible navier \n stokes equations in @xmath0 , @x"}
{"subject": "math:arxiv_143414", "predicate": "proves", "object": "we show an explicit formula relating tale polylogarithms introduced by wojtkowiak and finite polylog"}
{"subject": "math:arxiv_143439", "predicate": "proves", "object": "we present a hybrid computational method for simulating the dynamics of macromolecules in solution w"}
{"subject": "math:arxiv_143444", "predicate": "proves", "object": "some poisson structures do admit resolutions by symplectic manifolds of the same dimension . \n we gi"}
{"subject": "math:arxiv_143453", "predicate": "proves", "object": "theoretical description of oscillations of electron liquid in large metallic nanospheres ( with radi"}
{"subject": "math:arxiv_143456", "predicate": "proves", "object": "the gravitational time advancement is a natural but a consequence of curve space - time geometry . i"}
{"subject": "math:arxiv_143461", "predicate": "proves", "object": "we give a complete and detailed proof of harer s stability theorem for the homology of mapping class"}
{"subject": "math:arxiv_143480", "predicate": "proves", "object": "we consider the motion of test particles and light rays in a static cylindrically symmetric conforma"}
{"subject": "math:arxiv_143486", "predicate": "proves", "object": "we develop equations and obtain solutions for the structure and evolution of a protodisc region that"}
{"subject": "math:arxiv_143487", "predicate": "proves", "object": "we analyze the nested derivatives of a function @xmath0\\,(x)$ ] asymptotically , as @xmath1 using a "}
{"subject": "math:arxiv_143490", "predicate": "proves", "object": "the perturbative evaluation of the effective action can be expanded in powers of derivatives of the "}
{"subject": "math:arxiv_143496", "predicate": "proves", "object": "we study couplings @xmath0 of two equivariant random measures @xmath1 and @xmath2 on a riemannian ma"}
{"subject": "math:arxiv_143500", "predicate": "proves", "object": "here we present a new particle - mesh galactic n - body code that uses the full multigrid algorithm "}
{"subject": "math:arxiv_143511", "predicate": "proves", "object": "the modern formulation of the instrumental variable methods initiated the valuable interactions betw"}
{"subject": "math:arxiv_143512", "predicate": "proves", "object": "for a family of stabilized mixed finite element methods for the stokes equations a complete a priori"}
{"subject": "math:arxiv_143514", "predicate": "proves", "object": "we consider a family @xmath0 of periodic domains in @xmath1 with waveguide geometry and analyse spec"}
{"subject": "math:arxiv_143521", "predicate": "proves", "object": "we investigate the physical properties , geometry and dynamics of the massive cluster merger macsj01"}
{"subject": "math:arxiv_143530", "predicate": "proves", "object": "a simple five - dimensional brane world model is proposed , motivated by m - theory compactified on "}
{"subject": "math:arxiv_143536", "predicate": "proves", "object": "we present a comparative full - potential study of generalized kohn - sham schemes ( gks ) with expl"}
{"subject": "math:arxiv_143537", "predicate": "proves", "object": "we consider two models which were both designed to describe the movement of eukaryotic cells respond"}
{"subject": "math:arxiv_143539", "predicate": "proves", "object": "di paola and falsone s formula is widely used in studying stochastic dynamics of nonlinear systems u"}
{"subject": "math:arxiv_143542", "predicate": "proves", "object": "we discuss the systematic expansion of the solution of the fokker - planck equation with the help of"}
{"subject": "math:arxiv_143547", "predicate": "proves", "object": "we present a general analysis of exchange devices linking their efficiency to the geometry of the ex"}
{"subject": "math:arxiv_143549", "predicate": "proves", "object": "the e2 algebra has three elements , @xmath0 , @xmath1 , and @xmath2 , which satisfy the commutation "}
{"subject": "math:arxiv_143555", "predicate": "proves", "object": "the langlands programme , formulated by robert langlands in the 1960s and since much developed and r"}
{"subject": "math:arxiv_143556", "predicate": "proves", "object": "we introduce a mean - field type approximation for description of company s income statistics . util"}
{"subject": "math:arxiv_143566", "predicate": "proves", "object": "we provide a classification of entangled states that uses new discrete entanglement invariants . \n t"}
{"subject": "math:arxiv_143579", "predicate": "proves", "object": "we investigate the restrictions on the equation - of - state parameter of phantom cosmology , due to"}
{"subject": "math:arxiv_143580", "predicate": "proves", "object": "this paper is a concise and painless introduction to the @xmath0-calculus . \n this formalism was dev"}
{"subject": "math:arxiv_143583", "predicate": "proves", "object": "stochastic solutions are obtained for the maxwell - vlasov equation in the approximation where magne"}
{"subject": "math:arxiv_143611", "predicate": "proves", "object": "we have proposed a model of roton cluster excitations in liquid helium  ii based on a schrdinger - t"}
{"subject": "math:arxiv_143614", "predicate": "proves", "object": "adler s lattice equation has acquired the status of a master equation among 2d discrete integrable s"}
{"subject": "math:arxiv_143637", "predicate": "proves", "object": "we perform large eddy simulations of turbulent compressible convection in stellar - type convection "}
{"subject": "math:arxiv_143640", "predicate": "proves", "object": "we prove a quenched central limit theorem for random walks in i.i.d . \n weakly elliptic random envir"}
{"subject": "math:arxiv_143646", "predicate": "proves", "object": "patterns of different symmetries may arise after solution to reaction - diffusion equations . \n hexa"}
{"subject": "math:arxiv_143669", "predicate": "proves", "object": "we give a quantum field theoretical derivation of the scalar abraham - lorentz - dirac ( ald ) equat"}
{"subject": "math:arxiv_143670", "predicate": "proves", "object": "radiation pressure effects in ionization by short linearly - polarized laser pulses are investigated"}
{"subject": "math:arxiv_143679", "predicate": "proves", "object": "we investigate a diffusive motion of a system of interacting brownian particles in quasi - one - dim"}
{"subject": "math:arxiv_143685", "predicate": "proves", "object": "the equation of state of nuclear matter is strongly affected by the presence of a magnetic field . h"}
{"subject": "math:arxiv_143687", "predicate": "proves", "object": "we study the zeros of exceptional hermite polynomials associated with an even partition @xmath0 . \n "}
{"subject": "math:arxiv_143691", "predicate": "proves", "object": "langevin equations for several competitive growth models in one dimension are derived . for models w"}
{"subject": "math:arxiv_143693", "predicate": "proves", "object": "to determine the frequencies of magnetic oscillations in neutron stars with highly tangled magnetic "}
{"subject": "math:arxiv_143705", "predicate": "proves", "object": "we present an approximate converse theorem which measures how close a given set of irreducible admis"}
{"subject": "math:arxiv_143729", "predicate": "proves", "object": "a class of squeezed states for the su(1,1 ) algebra is found and expressed by the exponential and la"}
{"subject": "math:arxiv_143739", "predicate": "proves", "object": "the non thermal radiation observed from a handful of clusters of galaxies ( cg ) is the proof that p"}
{"subject": "math:arxiv_143740", "predicate": "proves", "object": "given a positive integer @xmath0 , the kaplansky - lvov conjecture states that the set of values of "}
{"subject": "math:arxiv_143746", "predicate": "proves", "object": "high resolution reconstruction of complicated objects from incomplete and noisy data can be achieved"}
{"subject": "math:arxiv_143752", "predicate": "proves", "object": "the contribution of @xmath0 to the @xmath1 reaction is examined by making use of the chiral reductio"}
{"subject": "math:arxiv_143756", "predicate": "proves", "object": "we construct toric manifolds of complex dimension @xmath0 , whose orbit spaces by the action of the "}
{"subject": "math:arxiv_143772", "predicate": "proves", "object": "the model of rational decision - making in most of economics and statistics is expected utility theo"}
{"subject": "math:arxiv_143774", "predicate": "proves", "object": "a method of feynman diagrams summation , based on using schwinger - dyson equations and ward identit"}
{"subject": "math:arxiv_143777", "predicate": "proves", "object": "we propose the model , which allows us to approximate fractional levy noise and fractional levy moti"}
{"subject": "math:arxiv_143781", "predicate": "proves", "object": "we consider brownian motions with one - sided collisions , meaning that each particle is reflected a"}
{"subject": "math:arxiv_143792", "predicate": "proves", "object": "we explore the utility of the recently proposed alpha equations in providing a subgrid model for flu"}
{"subject": "math:arxiv_143797", "predicate": "proves", "object": "cosmological scaling solutions are particularly important in solving the coincidence problem of dark"}
{"subject": "math:arxiv_143810", "predicate": "proves", "object": "from the microscopic theory , we derive a number conserving quantum kinetic equation , valid for a d"}
{"subject": "math:arxiv_143816", "predicate": "proves", "object": "we investigate combined effects of topology and boundaries on the vacuum expectation value ( vev ) o"}
{"subject": "math:arxiv_143817", "predicate": "proves", "object": "the kadomtsev - petviashvili ( kp ) nonlinear wave equation is the three dimensional generalization "}
{"subject": "math:arxiv_143828", "predicate": "proves", "object": "we describe representations of groupoid * -algebras on hilbert modules over arbitrary * -algebras by"}
{"subject": "math:arxiv_143836", "predicate": "proves", "object": "the interplay between spin transport and thermoelectricity offers several novel ways of generating ,"}
{"subject": "math:arxiv_143849", "predicate": "proves", "object": "in this paper we study kinematic expansive flows on compact metric spaces , surfaces and general man"}
{"subject": "math:arxiv_143854", "predicate": "proves", "object": "in this paper , we derive the stochastic master equations for quantum systems driven by a single - p"}
{"subject": "math:arxiv_143876", "predicate": "proves", "object": "we formulate an info - clustering paradigm based on a multivariate information measure , called mult"}
{"subject": "math:arxiv_143878", "predicate": "proves", "object": "we present the supersymmetrisation of the anomaly - related @xmath0 term in eleven dimensions and sh"}
{"subject": "math:arxiv_143886", "predicate": "proves", "object": "a categorification of the beilinson - lusztig - macpherson form of the quantum sl(2 ) was constructe"}
{"subject": "math:arxiv_143891", "predicate": "proves", "object": "using perturbed bogoliubov equations , we study the linear response to a weak orbital magnetic field"}
{"subject": "math:arxiv_143905", "predicate": "proves", "object": "employing scalar qcd we study the gluon emission of heavy quarks created by the interaction with lig"}
{"subject": "math:arxiv_143918", "predicate": "proves", "object": "one long - standing difficult problem in quantum dissipative dynamics is to solve the spin - boson m"}
{"subject": "math:arxiv_143926", "predicate": "proves", "object": "in this paper , we study compact convex lefschetz fibrations on compact convex symplectic manifolds "}
{"subject": "math:arxiv_143931", "predicate": "proves", "object": "by a reformulation of the loop expansion in the resonance - spectrum - expansion amplitude for meson"}
{"subject": "math:arxiv_143933", "predicate": "proves", "object": "we show that fourier transforms on the weyl algebras have a geometric counterpart in the framework o"}
{"subject": "math:arxiv_143941", "predicate": "proves", "object": "recently , a set of thermodynamic bethe ansatz equations is proposed by dorey , pocklington and tate"}
{"subject": "math:arxiv_143942", "predicate": "proves", "object": "we develop a microscopic theory for reaction - difusion ( r - d ) processes based on a generalizatio"}
{"subject": "math:arxiv_143943", "predicate": "proves", "object": "dimensional regularization is applied to the lippmann - schwinger equation for a separable potential"}
{"subject": "math:arxiv_143949", "predicate": "proves", "object": "we show that the fourier - laplace transform of a regular holonomic module over the weyl algebra of "}
{"subject": "math:arxiv_143975", "predicate": "proves", "object": "boost - rotation symmetric spacetimes are exceptional as they are the only exact asymptotically flat"}
{"subject": "math:arxiv_143985", "predicate": "proves", "object": "we propose a complexity measure which addresses the functional flexibility of networks . \n it is con"}
{"subject": "math:arxiv_143994", "predicate": "proves", "object": "we develop a systematic and efficient approach for numerically solving the non - markovian quantum s"}
{"subject": "math:arxiv_144004", "predicate": "proves", "object": "we give here the proof that pair creation arises from the dirac equation with an external time depen"}
{"subject": "math:arxiv_144013", "predicate": "proves", "object": "for any toric calabi - yau @xmath0-orbifold with transverse @xmath1-singularities , we prove the gro"}
{"subject": "math:arxiv_144017", "predicate": "proves", "object": "building on a fundamental insight due to avramidi , we provide a system of transport equations for d"}
{"subject": "math:arxiv_144020", "predicate": "proves", "object": "the proliferation and migration dichotomy of the tumor cell invasion is examined within a two - comp"}
{"subject": "math:arxiv_144044", "predicate": "proves", "object": "imaging with ultrashort exposure times is generally achieved with a crossed - beam geometry . in the"}
{"subject": "math:arxiv_144063", "predicate": "proves", "object": "cartan s moving frames method is a standard tool in riemannian geometry . \n we set up the machinery "}
{"subject": "math:arxiv_144065", "predicate": "proves", "object": "we present a pedagogical description of the inversion of gamow s tunnelling formula and we compare i"}
{"subject": "math:arxiv_144082", "predicate": "proves", "object": "we review our proof that in a scaling limit , the time evolution of a quantum particle in a static r"}
{"subject": "math:arxiv_144090", "predicate": "proves", "object": "we consider quantum trajectories of composite systems as generated by the stochastic unraveling of t"}
{"subject": "math:arxiv_144093", "predicate": "proves", "object": "we revisit the external source method for kubo - transformed quantum correlation functions recently "}
{"subject": "math:arxiv_144097", "predicate": "proves", "object": "we discuss pore dynamics in osmotically stressed vesicles . a set of equations which govern the lipo"}
{"subject": "math:arxiv_144127", "predicate": "proves", "object": "using the cayley trick , we define the notions of mixed toric residues and mixed hessians associated"}
{"subject": "math:arxiv_144154", "predicate": "proves", "object": "we derive an integral formula for the linking number of two submanifolds of the n - sphere @xmath0 ,"}
{"subject": "math:arxiv_144179", "predicate": "proves", "object": "newly emerging magnetic flux can show a complicated linked or interwoven topology of the magnetic fi"}
{"subject": "math:arxiv_144205", "predicate": "proves", "object": "we present a position langevin equation for overdamped particle motion on rough two - dimensional su"}
{"subject": "math:arxiv_144207", "predicate": "proves", "object": "we construct a josephson junction in non - relativistic case with a lifshitz geometry as the dual gr"}
{"subject": "math:arxiv_144214", "predicate": "proves", "object": "mesons are made of quark - antiquark pairs held together by the strong force . \n the one channel spe"}
{"subject": "math:arxiv_144218", "predicate": "proves", "object": "a recently - proposed class of photonic topological insulators is shown to map onto chalker - coddin"}
{"subject": "math:arxiv_144226", "predicate": "proves", "object": "we present the exact solution of the richardson - gaudin models associated with the su(3 ) lie algeb"}
{"subject": "math:arxiv_144243", "predicate": "proves", "object": "the chow polytope of an algebraic cycle in a torus depends only on its tropicalisation . \n generalis"}
{"subject": "math:arxiv_144261", "predicate": "proves", "object": "we derive the numerical schemes for the strong order integration of the set of the stochastic differ"}
{"subject": "math:arxiv_144275", "predicate": "proves", "object": "half - integer photon - resonances in a periodically shaken double well are investigated on the leve"}
{"subject": "math:arxiv_144286", "predicate": "proves", "object": "we discuss exact solutions of the schrdinger equation for the system of two ultracold atoms confined"}
{"subject": "math:arxiv_144297", "predicate": "proves", "object": "we present a one - step algorithm that solves the maxwell equations for systems with spatially varyi"}
{"subject": "math:arxiv_144298", "predicate": "proves", "object": "a master equation was formulated to study intrinsic charge fluctuations of a grain in a plasma as io"}
{"subject": "math:arxiv_144299", "predicate": "proves", "object": "in all spatial dimensions @xmath0 , we study the static and dynamical properties of a generalized sm"}
{"subject": "math:arxiv_144301", "predicate": "proves", "object": "semilinear stochastic evolution equations with multiplicative lvy noise and monotone nonlinear drift"}
{"subject": "math:arxiv_144319", "predicate": "proves", "object": "stokes theorem is central to many aspects of physics \n electromagnetism , the aharonov - bohm effect"}
{"subject": "math:arxiv_144320", "predicate": "proves", "object": "from a purely none - general relativistic standpoint , we solve the empty space poisson equation ( @"}
{"subject": "math:arxiv_144326", "predicate": "proves", "object": "we consider a scalar field ( called @xmath0 ) which is very weakly coupled to thermal bath , and stu"}
{"subject": "math:arxiv_144327", "predicate": "proves", "object": "navier - stokes regularity ; burgers equation ; viscosity ; vorticity ; laminar - turbulent transiti"}
{"subject": "math:arxiv_144332", "predicate": "proves", "object": "we use @xmath0-gradings to study @xmath1-dimensional monomial ideals . \n the koszul functor is emplo"}
{"subject": "math:arxiv_144368", "predicate": "proves", "object": "we use the heat flow on the loop space of a closed riemannian manifold to construct an algebraic cha"}
{"subject": "math:arxiv_144370", "predicate": "proves", "object": "in this paper we present a nonconforming finite element method for solving fourth order curl equatio"}
{"subject": "math:arxiv_144397", "predicate": "proves", "object": "the curved spacetime geometry of a system of two point masses moving on a circular orbit has a helic"}
{"subject": "math:arxiv_144413", "predicate": "proves", "object": "we assume that dark matter and dark energy satisfy the unified equation of state : @xmath0 , with @x"}
{"subject": "math:arxiv_144421", "predicate": "proves", "object": "butcher series appear when runge  kutta methods for ordinary differential equations are expanded in "}
{"subject": "math:arxiv_144425", "predicate": "proves", "object": "we consider one - dimensional reaction - diffusion equations for a large class of spatially periodic"}
{"subject": "math:arxiv_144447", "predicate": "proves", "object": "we develop a multigraded variant of castelnuovo - mumford regularity . motivated by toric geometry ,"}
{"subject": "math:arxiv_144466", "predicate": "proves", "object": "based on the generalized langevin equation for the momentum of a brownian particle a generalized asy"}
{"subject": "math:arxiv_144468", "predicate": "proves", "object": "the classical bondi - hoyle formula gives the accretion rate onto a point particle of a gas with a u"}
{"subject": "math:arxiv_144502", "predicate": "proves", "object": "we use a generalized master equation ( gme ) formalism to describe the non - equilibrium time - depe"}
{"subject": "math:arxiv_144536", "predicate": "proves", "object": "we use batyrev - borisov s formula for the generating function of stringy hodge numbers of calabi - "}
{"subject": "math:arxiv_144541", "predicate": "proves", "object": "by considering the fundamental equation @xmath0 , somos conjectured that the hankel determinants for"}
{"subject": "math:arxiv_144556", "predicate": "proves", "object": "we give a possible generalization of a lutz twist to all dimensions . \n this reproves the fact that "}
{"subject": "math:arxiv_144557", "predicate": "proves", "object": "we present a simple lattice formulation of two - dimensional @xmath0 @xmath1 supersymmetric qcd ( sq"}
{"subject": "math:arxiv_144574", "predicate": "proves", "object": "it is well known that kasner geometry with spacelike singularity can be extended to bulk ads - like "}
{"subject": "math:arxiv_144576", "predicate": "proves", "object": "we consider the nondynamical chern - simons ( cs ) modification to general relativity ( gr ) in the "}
{"subject": "math:arxiv_144607", "predicate": "proves", "object": "we investigate the problem of recovering the initial displacement  @xmath0 for a solution @xmath1 of"}
{"subject": "math:arxiv_144622", "predicate": "proves", "object": "we briefly illustrate a few tests of quantum mechanics which can be performed with entangled neutral"}
{"subject": "math:arxiv_144628", "predicate": "proves", "object": "we first show that any connected algebraic group over a perfect field is the neutral component of th"}
{"subject": "math:arxiv_144630", "predicate": "proves", "object": "the effect of quark mass on the regge trajectory is analysed . \n modifications in the equations of r"}
{"subject": "math:arxiv_144635", "predicate": "proves", "object": "we present a long - wavelength approximation to the navier  stokes cahn  hilliard equations to descr"}
{"subject": "math:arxiv_144652", "predicate": "proves", "object": "let @xmath0 be an idempotent algebra on a finite domain . \n we combine results of chen @xcite and zh"}
{"subject": "math:arxiv_144655", "predicate": "proves", "object": "the interplay between magnetic and superconductive films is studied . the generalized london equatio"}
{"subject": "math:arxiv_144669", "predicate": "proves", "object": "in this paper we develop a root - finding algorithm in order to solve non - linear systems of two eq"}
{"subject": "math:arxiv_144706", "predicate": "proves", "object": "partial differential equations ( pdes ) with dirichlet boundary conditions defined on boundaries wit"}
{"subject": "math:arxiv_144712", "predicate": "proves", "object": "we introduce an embedding of the torelli group of a compact connected oriented surface with non - em"}
{"subject": "math:arxiv_144713", "predicate": "proves", "object": "measurements of the equation of state of dark energy from surveys of thousands of type ia supernovae"}
{"subject": "math:arxiv_144718", "predicate": "proves", "object": "in this paper , we present a novel low rank representation ( lrr ) algorithm for data lying on the m"}
{"subject": "math:arxiv_144721", "predicate": "proves", "object": "q - resolution is a proof system for quantified boolean formulas ( qbfs ) in prenex conjunctive norm"}
{"subject": "math:arxiv_144725", "predicate": "proves", "object": "we calculate a new equation of state for baryons at sub - nuclear densities meant for the use in cor"}
{"subject": "math:arxiv_144743", "predicate": "proves", "object": "we present numerical solutions for differential equations by expanding the unknown function in terms"}
{"subject": "math:arxiv_144754", "predicate": "proves", "object": "algorithms for search of communities in networks usually consist discrete variations of links . here"}
{"subject": "math:arxiv_144759", "predicate": "proves", "object": "homogeneous cosmological solutions are obtained in five dimensional space time assuming equations of"}
{"subject": "math:arxiv_144773", "predicate": "proves", "object": "memory effects in transport require , for their incorporation into reaction diffusion investigations"}
{"subject": "math:arxiv_144777", "predicate": "proves", "object": "the geometry of the lmc bar is studied using the de - reddened mean magnitudes of the red clump star"}
{"subject": "math:arxiv_144788", "predicate": "proves", "object": "the second - quantization of a scalar field in an open cavity is formulated , from first principles "}
{"subject": "math:arxiv_144790", "predicate": "proves", "object": "a general formulation of boundary conditions for semiconductor - metal contacts follows from a pheno"}
{"subject": "math:arxiv_144807", "predicate": "proves", "object": "generalized quantum statistics such as para - fermi statistics is characterized by certain triple re"}
{"subject": "math:arxiv_144821", "predicate": "proves", "object": "we study three computer algebra systems , namely sagemath ( with sagemanfolds package ) , maxima ( w"}
{"subject": "math:arxiv_144824", "predicate": "proves", "object": "we apply the topology conserving gauge action proposed by lscher to the four - dimensional lattice q"}
{"subject": "math:arxiv_144834", "predicate": "proves", "object": "we give an overview of recent results for the nuclear equation of state and properties of neutron st"}
{"subject": "math:arxiv_144836", "predicate": "proves", "object": "within the framework of the projective unified field theory the distribution of a dark matter gas ar"}
{"subject": "math:arxiv_144850", "predicate": "proves", "object": "the electron and current density distributions in the close proximity of quantum point contacts ( qp"}
{"subject": "math:arxiv_144854", "predicate": "proves", "object": "in a 1962 paper , zariski introduced the decomposition theory that now bears his name . \n although i"}
{"subject": "math:arxiv_144857", "predicate": "proves", "object": "webster s horn equation ( 1919 ) offers a one - dimensional approximation for low - frequency sound "}
{"subject": "math:arxiv_144861", "predicate": "proves", "object": "the famous psa conjecture states that every graph of minimum degree at least @xmath0 contains the sq"}
{"subject": "math:arxiv_144869", "predicate": "proves", "object": "we examine quintom dark energy models , produced by the combined consideration of a canonical and a "}
{"subject": "math:arxiv_144886", "predicate": "proves", "object": "an extension of the the density matrix renormalization group ( dmrg ) method is presented . besides "}
{"subject": "math:arxiv_144899", "predicate": "proves", "object": "we develop a variational scheme in a field theoretic approach to a stochastic process . \n while vari"}
{"subject": "math:arxiv_144906", "predicate": "proves", "object": "we consider the @xmath0 skyrme model and obtain supersymmetric skyrmion solutions numerically . \n th"}
{"subject": "math:arxiv_144934", "predicate": "proves", "object": "source confusion has been a long - standing problem in the astronomical history . in the previous fo"}
{"subject": "math:arxiv_144943", "predicate": "proves", "object": "we consider the problem of quickly detecting a signal in a sensor network when the subset of sensors"}
{"subject": "math:arxiv_144950", "predicate": "proves", "object": "we derive the stochastic schrdinger equation for the system wave vector and use it to describe the e"}
{"subject": "math:arxiv_144957", "predicate": "proves", "object": "we study the effects of the finite size of the baryons on the equation of state of homogeneous hadro"}
{"subject": "math:arxiv_144958", "predicate": "proves", "object": "we consider a time - dependent non - linear schrdinger equation in one dimension ( 1d ) with a fifth"}
{"subject": "math:arxiv_144968", "predicate": "proves", "object": "we give a conceptual proof that the poincar series of the coordinate algebra of a kleinian singulari"}
{"subject": "math:arxiv_144981", "predicate": "proves", "object": "we present a detailed analysis of the modulational instability ( mi ) of ground - state bright solit"}
{"subject": "math:arxiv_144983", "predicate": "proves", "object": "a new three - dimensional model of the fel is presented . \n a system of scaled , coupled maxwell \n l"}
{"subject": "math:arxiv_144991", "predicate": "proves", "object": "we develop tools to study the topology and geometry of self - affine fractals in dimension three and"}
{"subject": "math:arxiv_144992", "predicate": "proves", "object": "the aim of this paper is to present an analysis of the new theorem by pusey , barrett and rudolph ( "}
{"subject": "math:arxiv_145004", "predicate": "proves", "object": "the majority of current textbooks on device physics at the undergraduate level derive the diode equa"}
{"subject": "math:arxiv_145018", "predicate": "proves", "object": "i briefly review the `` decohering histories '' or `` consistent histories '' formulation of quantum"}
{"subject": "math:arxiv_145021", "predicate": "proves", "object": "a large class of non - markovian quantum processes in open systems can be formulated through time - "}
{"subject": "math:arxiv_145038", "predicate": "proves", "object": "different types of formulations are proposed in the literature to model vehicle routing problems . \n"}
{"subject": "math:arxiv_145056", "predicate": "proves", "object": "how much cutting is needed to simplify the topology of a surface ? \n we provide bounds for several i"}
{"subject": "math:arxiv_145062", "predicate": "proves", "object": "the navier - stokes equation on the euclidean space @xmath0 can be expressed in the form @xmath1 , w"}
{"subject": "math:arxiv_145068", "predicate": "proves", "object": "we derive field equations of gauss - bonnet gravity in @xmath0 dimensions after dimensional reductio"}
{"subject": "math:arxiv_145082", "predicate": "proves", "object": "we study the ability of weak lensing surveys to detect galaxy clusters and constrain cosmological pa"}
{"subject": "math:arxiv_145088", "predicate": "proves", "object": "in this letter , we report progress on the field theory of polymerized tethered membranes . for the "}
{"subject": "math:arxiv_145098", "predicate": "proves", "object": "considering the general lagrangian of _ k - essence _ models , we study and classify them through va"}
{"subject": "math:arxiv_145110", "predicate": "proves", "object": "we present the model of anisotropic universe with string fluid as source of matter within the framew"}
{"subject": "math:arxiv_145113", "predicate": "proves", "object": "first - order semiclassical perturbations to the schwarzschild black hole geometry are studied withi"}
{"subject": "math:arxiv_145129", "predicate": "proves", "object": "we present a planar hypohamiltonian graph on 42 vertices and show some consequences . \n [ section ] "}
{"subject": "math:arxiv_145134", "predicate": "proves", "object": "we numerically investigate spherically symmetric collapses in the gross - pitaevskii equation with a"}
{"subject": "math:arxiv_145136", "predicate": "proves", "object": "boltzmann s principle @xmath0 relates the entropy to the geometric area @xmath1 of the manifold of c"}
{"subject": "math:arxiv_145142", "predicate": "proves", "object": "a method for symbolically computing conservation laws of nonlinear partial differential equations ( "}
{"subject": "math:arxiv_145143", "predicate": "proves", "object": "we obtain analytical expressions for the large- and small - radius polarons on the one - dimensional"}
{"subject": "math:arxiv_145163", "predicate": "proves", "object": "we present new tests for disruption mechanisms of star clusters based on the bivariate mass - age di"}
{"subject": "math:arxiv_145169", "predicate": "proves", "object": "we point out that , contrary to existing claims of the opposite , vainshtein s theorem on the non - "}
{"subject": "math:arxiv_145176", "predicate": "proves", "object": "wettability of a substrates is characterized by a contact angle . \n applicability of the simple form"}
{"subject": "math:arxiv_145183", "predicate": "proves", "object": "the fusion procedure is implemented for the dilute @xmath0 lattice models and a fusion hierarchy of "}
{"subject": "math:arxiv_145203", "predicate": "proves", "object": "we exhibit the first examples of closed @xmath0-manifolds with nonnegative sectional curvature that "}
{"subject": "math:arxiv_145210", "predicate": "proves", "object": "dynamic plasma equilibrium systems , both in isotropic and anisotropic framework , possess infinite "}
{"subject": "math:arxiv_145238", "predicate": "proves", "object": "in a quasiclassical framework , we formulate the quadruple ionization by single photon absorption of"}
{"subject": "math:arxiv_145242", "predicate": "proves", "object": "we prove that the diffraction formula for regular model sets is equivalent to the poisson summation "}
{"subject": "math:arxiv_145244", "predicate": "proves", "object": "the lagrange planetary equations are used to study to secular evolution of a small , eccentric satel"}
{"subject": "math:arxiv_145247", "predicate": "proves", "object": "on the base of an exact solution for the static spherically symmetric einstein equations with the qu"}
{"subject": "math:arxiv_145263", "predicate": "proves", "object": "we derive the general form of a master equation describing the interaction of an arbitrary multipart"}
{"subject": "math:arxiv_145300", "predicate": "proves", "object": "we present an algebra related to the coxeter group of type @xmath0 which can be viewed as the brauer"}
{"subject": "math:arxiv_145307", "predicate": "proves", "object": "we present an improved version of the @xcite method to integrate the two - fluid dust / gas equation"}
{"subject": "math:arxiv_145314", "predicate": "proves", "object": "we introduce a notion of a fox pairing in a group algebra and use fox pairings to define automorphis"}
{"subject": "math:arxiv_145331", "predicate": "proves", "object": "we present a new particle - mesh cosmological n - body code for accurately solving the modified pois"}
{"subject": "math:arxiv_145335", "predicate": "proves", "object": "the paper is devoted to the efficient computation of high - order cubature formulas for volume poten"}
{"subject": "math:arxiv_145339", "predicate": "proves", "object": "we consider the classical solution of the type iib supergravity spontaneously compactified on @xmath"}
{"subject": "math:arxiv_145346", "predicate": "proves", "object": "we consider the effects of temporal delay in a neural feedback system with excitation and inhibition"}
{"subject": "math:arxiv_145386", "predicate": "proves", "object": "we consider the second painlev equation @xmath0 where @xmath1 is a nonzero constant . \n using the de"}
{"subject": "math:arxiv_145387", "predicate": "proves", "object": "an elementary gap in the proof of corollary 2.2 was found , the claim in the first version of the pa"}
{"subject": "math:arxiv_145394", "predicate": "proves", "object": "the statistical mechanics of spin models , such as the ising or potts models , on generic random gra"}
{"subject": "math:arxiv_145407", "predicate": "proves", "object": "we compare the scattering amplitude resulting from the several quasipotential equations for scalar p"}
{"subject": "math:arxiv_145409", "predicate": "proves", "object": "we consider langevin equation with dichotomously fluctuating diffusivity , where the diffusion coeff"}
{"subject": "math:arxiv_145427", "predicate": "proves", "object": "we present a method based on dickson s lemma to compute the  approximate radical \" of a zero dimensi"}
{"subject": "math:arxiv_145441", "predicate": "proves", "object": "the central limit theorem ensures that a sum of random variables tends to a gaussian distribution as"}
{"subject": "math:arxiv_145460", "predicate": "proves", "object": "consider an it process @xmath0 satisfying the stochastic differential equation @xmath1 where @xmath2"}
{"subject": "math:arxiv_145468", "predicate": "proves", "object": "we address the problem of determining a natural local neighbourhood or `` cluster '' associated to a"}
{"subject": "math:arxiv_145470", "predicate": "proves", "object": "by using chiral perturbation theory and the uehling - uhlenbeck equation we compute the viscosity of"}
{"subject": "math:arxiv_145491", "predicate": "proves", "object": "any multiplier hopf  @xmath0-algebra with positive integrals gives rise to a locally compact quantum"}
{"subject": "math:arxiv_145503", "predicate": "proves", "object": "by using _ ab initio _ calculations with the hse06 hybrid functional and gw approximation combined w"}
{"subject": "math:arxiv_145509", "predicate": "proves", "object": "we establish that the yang - baxter equations in the presence of an impurity can in general only adm"}
{"subject": "math:arxiv_145532", "predicate": "proves", "object": "we characterize a convex subset of entanglement witnesses for two qutrits . \n equivalently , we prov"}
{"subject": "math:arxiv_145544", "predicate": "proves", "object": "this paper studies the link between the number of critical eigenvalues and the number of delays in c"}
{"subject": "math:arxiv_145546", "predicate": "proves", "object": "one of the major challenges in the bayesian solution of inverse problems governed by partial differe"}
{"subject": "math:arxiv_145576", "predicate": "proves", "object": "important subalgebras of a lie algebra of an algebraic group are its toral subalgebras , or equivale"}
{"subject": "math:arxiv_145583", "predicate": "proves", "object": "we study the large - order asymptotic behavior of the perturbation series for short - distance coeff"}
{"subject": "math:arxiv_145585", "predicate": "proves", "object": "we formulate a theory of agent - based models in which agents compete to be in a winning group . \n t"}
{"subject": "math:arxiv_145591", "predicate": "proves", "object": "a few self - consistent schemes to solve the hedin equations are presented . \n they include vertex c"}
{"subject": "math:arxiv_145603", "predicate": "proves", "object": "an ideal is a classical object of study in the field of algebraic number theory . in \n maximal quadr"}
{"subject": "math:arxiv_145605", "predicate": "proves", "object": "stochastic field equations represent a powerful tool to describe the thermal state of a trapped bose"}
{"subject": "math:arxiv_145609", "predicate": "proves", "object": "the concepts and methods used for the study of disordered systems have proven useful in the analysis"}
{"subject": "math:arxiv_145613", "predicate": "proves", "object": "in the limit of large quantum excitations , the classical and quantum probability distributions for "}
{"subject": "math:arxiv_145627", "predicate": "proves", "object": "we use a variant of principal component analysis to investigate the possible temporal evolution of t"}
{"subject": "math:arxiv_145643", "predicate": "proves", "object": "we review the problem of fluctuations in particle shower theory . by using a generalization of furry"}
{"subject": "math:arxiv_145647", "predicate": "proves", "object": "after introducing essential , qualitative concepts and results , we discuss the application of dyson"}
{"subject": "math:arxiv_145663", "predicate": "proves", "object": "adhesive categories are categories which have pushouts with one leg a monomorphism , all pullbacks ,"}
{"subject": "math:arxiv_145668", "predicate": "proves", "object": "results are presented from numerical simulations of the einstein - maxwell - higgs equations with a "}
{"subject": "math:arxiv_145670", "predicate": "proves", "object": "we prove an improvement of flatness result for nonlocal phase transitions . for a class of nonlocal "}
{"subject": "math:arxiv_145687", "predicate": "proves", "object": "we present results on the location , physical conditions , and geometry of the outflow in the seyfer"}
{"subject": "math:arxiv_145698", "predicate": "proves", "object": "we study the structure of analytic continuation of solutions of an even rank system of linear ordina"}
{"subject": "math:arxiv_145703", "predicate": "proves", "object": "we consider here quark matter equation of state including strange quarks and taking into account a n"}
{"subject": "math:arxiv_145706", "predicate": "proves", "object": "we describe an example of a closed orientable 3-manifold @xmath0 with distinct distance three genus "}
{"subject": "math:arxiv_145712", "predicate": "proves", "object": "this paper investigates oscillation - free stability conditions of numerical methods for linear para"}
{"subject": "math:arxiv_145717", "predicate": "proves", "object": "we construct gravitating superconducting string solutions of the @xmath0 model solving the coupled s"}
{"subject": "math:arxiv_145735", "predicate": "proves", "object": "we study the evolution and scaling of the entanglement entropy after two types of quenches for a 2 +"}
{"subject": "math:arxiv_145744", "predicate": "proves", "object": "for a new equation of state of strange quark matter , we construct equilibrium sequences of rapidly "}
{"subject": "math:arxiv_145746", "predicate": "proves", "object": "we analyze the gaussian approximation as a method to obtain the first and second moments of a stocha"}
{"subject": "math:arxiv_145748", "predicate": "proves", "object": "we use a generalized master equation ( gme ) formalism to describe the non - equilibrium time - depe"}
{"subject": "math:arxiv_145750", "predicate": "proves", "object": "heckman and thomas conjectured that the fractional chromatic number of any triangle - free subcubic "}
{"subject": "math:arxiv_145776", "predicate": "proves", "object": "we compare critical exponent for quasi - fuchsian groups acting on the hyperbolic 3-space and entrop"}
{"subject": "math:arxiv_145795", "predicate": "proves", "object": "for the fundamental representations of the simple lie algebras of type @xmath0 , @xmath1 and @xmath2"}
{"subject": "math:arxiv_145816", "predicate": "proves", "object": "after surveying some known properties of compact convex sets in the plane , we give a two rigorous p"}
{"subject": "math:arxiv_145826", "predicate": "proves", "object": "we study dynamical optical response of a nematic liquid crystal ( nlc ) cell that undergoes the spla"}
{"subject": "math:arxiv_145829", "predicate": "proves", "object": "we develop perturbative expansions to obtain solutions for the initial - value problems of two impor"}
{"subject": "math:arxiv_145832", "predicate": "proves", "object": "the high energy limit of scattering amplitudes in the n  =  4 supersymmetric yang \n mills theory is "}
{"subject": "math:arxiv_145882", "predicate": "proves", "object": "we study the mechanisms of the gravitational collapse of the bose - einstein condensate dark matter "}
{"subject": "math:arxiv_145908", "predicate": "proves", "object": "* abstract . * \n this paper extends the result of @xcite on the homogenization of integral functiona"}
{"subject": "math:arxiv_145909", "predicate": "proves", "object": "we examine the lattice of all order congruences of a finite poset from the viewpoint of combinatoria"}
{"subject": "math:arxiv_145912", "predicate": "proves", "object": "it has recently been shown that f(r ) theories formulated in the palatini variational formalism are "}
{"subject": "math:arxiv_145923", "predicate": "proves", "object": "we introduce a global nuclear mass formula which is based on the macroscopic - microscopic method , "}
{"subject": "math:arxiv_145929", "predicate": "proves", "object": "numerical solutions of the incompressible magnetohydrodynamic ( mhd ) equations are reported for the"}
{"subject": "math:arxiv_145930", "predicate": "proves", "object": "our aim in this review article is to present the applications of connes noncommutative geometry to e"}
{"subject": "math:arxiv_145935", "predicate": "proves", "object": "a mechanism is discussed to obtain light scalar fields from a spontaneously broken continuous symmet"}
{"subject": "math:arxiv_145939", "predicate": "proves", "object": "in this paper we study isentropic flow in a curved pipe . \n we focus on the consequences of the geom"}
{"subject": "math:arxiv_145949", "predicate": "proves", "object": "using a 2.5d time - dependent numerical code we recently developed , we solve the full compressible "}
{"subject": "math:arxiv_145951", "predicate": "proves", "object": "the observation of neutrinos from supernova  1987a has confirmed the theoretical conjecture that the"}
{"subject": "math:arxiv_145954", "predicate": "proves", "object": "the bullet cluster has provided some of the best evidence for the @xmath0 cold dark matter ( @xmath1"}
{"subject": "math:arxiv_145957", "predicate": "proves", "object": "we determine the possible hilbert functions of graded rank one torsion free modules over three dimen"}
{"subject": "math:arxiv_145961", "predicate": "proves", "object": "we report results concerning the destabilisation of supported phospholipid bilayers in a well - defi"}
{"subject": "math:arxiv_145967", "predicate": "proves", "object": "thermal and charge transport in diffusive normal metal(dn ) / insulator / @xmath0- , @xmath1- and @x"}
{"subject": "math:arxiv_145973", "predicate": "proves", "object": "comparison of @xmath0-dimensional distance functions is a basic tool in alexandrov geometry and it i"}
{"subject": "math:arxiv_145977", "predicate": "proves", "object": "let @xmath0 be a commutative noetherian ring and @xmath1 . in this article we give ( cf . \n the theo"}
{"subject": "math:arxiv_145980", "predicate": "proves", "object": "the field equations associated to born - infeld type brane theories are studied by using an auxiliar"}
{"subject": "math:arxiv_146001", "predicate": "proves", "object": "a conjecture proposed by j. tripp in 2002 states that the crossing number of any knot coincides with"}
{"subject": "math:arxiv_146006", "predicate": "proves", "object": "the radii of nucleon distribution , bulk density , and neutron skin in nuclei beyond the @xmath0-sta"}
{"subject": "math:arxiv_146045", "predicate": "proves", "object": "elaborating on prior work by minka , we formulate a general computation rule for lossy messages . an"}
{"subject": "math:arxiv_146046", "predicate": "proves", "object": "we analyze the compatibility of the unified left - right symmetric pati - salam models motivated by "}
{"subject": "math:arxiv_146076", "predicate": "proves", "object": "we derive an effective equation of motion for the orientational dynamics of a neutrally buoyant sphe"}
{"subject": "math:arxiv_146084", "predicate": "proves", "object": "we review recent developments in the casimir effect which arises in quantization volumes restricted "}
{"subject": "math:arxiv_146087", "predicate": "proves", "object": "based on a chiral approach to nuclear matter , we calculate the quartic term in the expansion of the"}
{"subject": "math:arxiv_146091", "predicate": "proves", "object": "we compute the zero - temperature equation of state of a mixture of two fermionic atomic species wit"}
{"subject": "math:arxiv_146120", "predicate": "proves", "object": "we give a brief review of the theoretical description of low energy pion - pion scattering by the co"}
{"subject": "math:arxiv_146123", "predicate": "proves", "object": "lam equation , lam polynomial , dispersion relation , band structure , hyperelliptic reduction , her"}
{"subject": "math:arxiv_146124", "predicate": "proves", "object": "we introduce the _ arithmetic site _ : an algebraic geometric space deeply related to the non - comm"}
{"subject": "math:arxiv_146125", "predicate": "proves", "object": "by extending and generalising previous work by ros and savo , we describe a method to show that in c"}
{"subject": "math:arxiv_146128", "predicate": "proves", "object": "a new shortest proof of kotzig s theorem about graphs with unique perfect matching is presented in t"}
{"subject": "math:arxiv_146139", "predicate": "proves", "object": "the klein - gordon equation in @xmath0-dimensions for a recently proposed kratzer potential plus rin"}
{"subject": "math:arxiv_146140", "predicate": "proves", "object": "the cayley - dickson algebras @xmath0 ( real numbers ) , @xmath1 ( complex numbers ) , @xmath2 ( qua"}
{"subject": "math:arxiv_146142", "predicate": "proves", "object": "a constructive proof of identification of multilinear decompositions of multiway arrays is presented"}
{"subject": "math:arxiv_146163", "predicate": "proves", "object": "numerical arguments are presented for the existence of regular and black hole solutions of the einst"}
{"subject": "math:arxiv_146164", "predicate": "proves", "object": "we discuss some mathematical conjectures which have come out of the study of dirichlet branes in sup"}
{"subject": "math:arxiv_146175", "predicate": "proves", "object": "low mass x - ray binaries ( lmxbs ) that show thermonuclear bursts are ideal sources for constrainin"}
{"subject": "math:arxiv_146181", "predicate": "proves", "object": "we study the partial differential equation @xmath0 where @xmath1 is the unknown function , @xmath2 i"}
{"subject": "math:arxiv_146182", "predicate": "proves", "object": "the nonlinear wave equation @xmath0 determines a flow of conservative solutions taking values in the"}
{"subject": "math:arxiv_146198", "predicate": "proves", "object": "in these notes we describe how to formulate the lagrangian insertion technique in a way that mimics "}
{"subject": "math:arxiv_146200", "predicate": "proves", "object": "this paper develops and analyzes an efficient numerical method for solving elliptic partial differen"}
{"subject": "math:arxiv_146209", "predicate": "proves", "object": "the possibility of solving the bethe - salpeter equation in minkowski space , even for fermionic sys"}
{"subject": "math:arxiv_146217", "predicate": "proves", "object": "the evolution of the centre - of - mass wave - function for a mesoscopic particle according to the s"}
{"subject": "math:arxiv_146228", "predicate": "proves", "object": "the task of extracting an unsatisfiable core for a given boolean formula has been finding more and m"}
{"subject": "math:arxiv_146230", "predicate": "proves", "object": "a superposition rule for two solutions of a milne  pinney equation is derived . \n = eufm10 scaled1 ="}
{"subject": "math:arxiv_146252", "predicate": "proves", "object": "we extend the work in our earlier article @xcite to show that time - periodic , asymptotically - fla"}
{"subject": "math:arxiv_146254", "predicate": "proves", "object": "we develop an instantonic calculus to derive an analytical expression for the thermally - assisted t"}
{"subject": "math:arxiv_146281", "predicate": "proves", "object": "using the landauer formulation of transport theory and tight binding models of the electronic struct"}
{"subject": "math:arxiv_146343", "predicate": "proves", "object": "a host algebra of a topological group @xmath0 is a @xmath1-algebra whose representations are in one "}
{"subject": "math:arxiv_146348", "predicate": "proves", "object": "we study star flows on closed @xmath0-manifolds and prove that they either have a finite number of a"}
{"subject": "math:arxiv_146352", "predicate": "proves", "object": "we elucidate the geometry of quantum adiabatic evolution . by minimizing the deviation from adiabati"}
{"subject": "math:arxiv_146371", "predicate": "proves", "object": "chebyshev pseudospectral ( ps ) methods are reported to provide highly accurate solution using polyn"}
{"subject": "math:arxiv_146373", "predicate": "proves", "object": "the main goal of this paper is to provide an alternative proof of the following theorem of petty : i"}
{"subject": "math:arxiv_146402", "predicate": "proves", "object": "we associate to a real projective variety @xmath0 two convex cones which are fundamental in real alg"}
{"subject": "math:arxiv_146422", "predicate": "proves", "object": "set out here are some fundamental theories that may be regarded as newly discovered metamathematics "}
{"subject": "math:arxiv_146433", "predicate": "proves", "object": "in this paper we prove a conjecture of brini - eynard - mario @xcite relating open gromov - witten i"}
{"subject": "math:arxiv_146457", "predicate": "proves", "object": "the hyperbolic ( and more generally , lorentzian ) kac - moody ( km ) lie algebras @xmath0 of rank @"}
{"subject": "math:arxiv_146470", "predicate": "proves", "object": "a combinatorial description of the crystal @xmath0 for finite - dimensional simple lie algebras in t"}
{"subject": "math:arxiv_146478", "predicate": "proves", "object": "we discuss recent developments in lattice qcd for the bulk thermodynamics of the transition . \n we r"}
{"subject": "math:arxiv_146512", "predicate": "proves", "object": "we demonstrate the possibility of creating domain walls described by a single component gross - pita"}
{"subject": "math:arxiv_146520", "predicate": "proves", "object": "consider a measurable space with an atomless finite vector measure . \n this measure defines a mappin"}
{"subject": "math:arxiv_146523", "predicate": "proves", "object": "this letter introduces a method to manage energy storage in electricity grids . starting from the st"}
{"subject": "math:arxiv_146525", "predicate": "proves", "object": "the maximally extended reissner  nordstrm ( rn ) manifold with @xmath0 begs for attaching a material"}
{"subject": "math:arxiv_146532", "predicate": "proves", "object": "we have studied the statistical mechanics of money circulation in a closed economic system . \n an ex"}
{"subject": "math:arxiv_146539", "predicate": "proves", "object": "we study the relation between simple - minded systems and two - term tilting complexes for self - in"}
{"subject": "math:arxiv_146564", "predicate": "proves", "object": "we study real ternary forms whose real rank equals the generic complex rank , and we characterize th"}
{"subject": "math:arxiv_146567", "predicate": "proves", "object": "we provide new results and new proofs of results about the torsion of curves in @xmath0 . \n let @xma"}
{"subject": "math:arxiv_146597", "predicate": "proves", "object": "for an open quantum system , we investigate the pumped current induced by a slow modulation of contr"}
{"subject": "math:arxiv_146611", "predicate": "proves", "object": "we develop a detailed rigorous analysis of edge bifurcations of standing waves in the nonlinear schr"}
{"subject": "math:arxiv_146613", "predicate": "proves", "object": "the gutzwiller trace formula provides a semiclassical approximation for the density of states of a q"}
{"subject": "math:arxiv_146644", "predicate": "proves", "object": "we consider the characterization of the nonequilibrium stationary state of a randomly - driven granu"}
{"subject": "math:arxiv_146653", "predicate": "proves", "object": "we show that simply connected contact manifolds that are subcritically stein fillable have a unique "}
{"subject": "math:arxiv_146678", "predicate": "proves", "object": "we study the transverse oscillatory modes of nanomechanical silicon nitride strings under high tensi"}
{"subject": "math:arxiv_146679", "predicate": "proves", "object": "the problem of optimal actuation for channel and source coding was recently formulated and solved in"}
{"subject": "math:arxiv_146682", "predicate": "proves", "object": "we numerically investigate the fractal structure of two - dimensional quantum gravity coupled to mat"}
{"subject": "math:arxiv_146729", "predicate": "proves", "object": "we consider problems of one dimensional interacting fermions confined to a finite size , multichanne"}
{"subject": "math:arxiv_146733", "predicate": "proves", "object": "localization lengths of the electrons and holes in ingan / gan quantum wells have been calculated us"}
{"subject": "math:arxiv_146764", "predicate": "proves", "object": "we study a model of mass redistribution on a finite graph . \n we address the questions of convergenc"}
{"subject": "math:arxiv_146783", "predicate": "proves", "object": "the sine - gordon equation exhibits a gap in its linear spectrum . \n that gives rise to memory , or "}
{"subject": "math:arxiv_146784", "predicate": "proves", "object": "we present a dynamical proof of the well - known fact that the nron - tate canonical height ( and it"}
{"subject": "math:arxiv_146788", "predicate": "proves", "object": "we study the implications of a  noncommutative geometry of the minisuperspace variables for the frw "}
{"subject": "math:arxiv_146807", "predicate": "proves", "object": "we study the model - checking problem for a quantitative extension of the modal @xmath0-calculus on "}
{"subject": "math:arxiv_146809", "predicate": "proves", "object": "the hales program to prove the kepler conjecture on sphere packings consists of five steps , which i"}
{"subject": "math:arxiv_146810", "predicate": "proves", "object": "the confluent second - order supersymmetric quantum mechanics , with factorization energies @xmath0 "}
{"subject": "math:arxiv_146821", "predicate": "proves", "object": "we prove realizability theorems for vector - valued polynomial mappings , real - algebraic sets and "}
{"subject": "math:arxiv_146822", "predicate": "proves", "object": "in this paper we study the decoherence and purity of a driven solid - state qubit in the ohmic bath "}
{"subject": "math:arxiv_146823", "predicate": "proves", "object": "numerical homotopy continuation of solutions to polynomial equations is the foundation for numerical"}
{"subject": "math:arxiv_146825", "predicate": "proves", "object": "lee codes have been intensively studied for more than 40 years . \n interest in these codes has been "}
{"subject": "math:arxiv_146827", "predicate": "proves", "object": "we solve the following geometric problem , which arises in several three - dimensional applications "}
{"subject": "math:arxiv_146845", "predicate": "proves", "object": "we prove the conjecture by m.  yip stating that counting genus one partitions by the number of their"}
{"subject": "math:arxiv_146853", "predicate": "proves", "object": "we compute all `` voros coefficients '' of the third painlev equation @xmath0 of the type @xmath1 ( "}
{"subject": "math:arxiv_146885", "predicate": "proves", "object": "we revisit the canonical continuous - time and discrete - time matrix algebraic and matrix different"}
{"subject": "math:arxiv_146901", "predicate": "proves", "object": "much evidence suggests that we live in a flat cold dark matter universe with a cosmological constant"}
{"subject": "math:arxiv_146907", "predicate": "proves", "object": "we study the geometry of germs of definable ( semialgebraic or subanalytic ) sets over a @xmath0-adi"}
{"subject": "math:arxiv_146911", "predicate": "proves", "object": "we define enhancements of the quandle counting invariant for knots and links with a finite labeling "}
{"subject": "math:arxiv_146925", "predicate": "proves", "object": "cosmologists are taking a renewed interest in multiconnected spherical 3-manifolds ( spherical space"}
{"subject": "math:arxiv_146935", "predicate": "proves", "object": "this paper addresses extensions of the complex ornstein - uhlenbeck semigroup to operator algebras i"}
{"subject": "math:arxiv_146939", "predicate": "proves", "object": "in the classical theorems of extreme value theory the limits of suitably rescaled maxima of sequence"}
{"subject": "math:arxiv_146970", "predicate": "proves", "object": "alt s thread problem asks for least - area surfaces bounding a fixed `` wire '' curve and a movable "}
{"subject": "math:arxiv_146975", "predicate": "proves", "object": "as an introductory lecture to the workshop an overview is given over continuum models for homoepitax"}
{"subject": "math:arxiv_146977", "predicate": "proves", "object": "a kinetic equation describing the nonlinear evolution of intense electromagnetic pulses in electron "}
{"subject": "math:arxiv_146998", "predicate": "proves", "object": "in this paper we estimate the relative strengths of various terms of the rayleigh - bnard equations "}
{"subject": "math:arxiv_147012", "predicate": "proves", "object": "a density matrix theory of electron transport and optical gain in quantum cascade lasers in an exter"}
{"subject": "math:arxiv_147018", "predicate": "proves", "object": "contact between an elastic manifold and a rigid substrate with a self - affine fractal surface is re"}
{"subject": "math:arxiv_147048", "predicate": "proves", "object": "we consider the problem of maintaining the euclidean delaunay triangulation @xmath0 of a set @xmath1"}
{"subject": "math:arxiv_147054", "predicate": "proves", "object": "in this paper , we explore minimal contact triangulations on contact 3-manifolds . \n we give many ex"}
{"subject": "math:arxiv_147090", "predicate": "proves", "object": "we present a numerical procedure of solving the subdiffusion equation with caputo fractional time de"}
{"subject": "math:arxiv_147105", "predicate": "proves", "object": "a fluctuation theorem is proved for the macroscopic currents of a system in a nonequilibrium steady "}
{"subject": "math:arxiv_147114", "predicate": "proves", "object": "in a recent paper new upper and lower limits were given , in the context of the schrdinger or klein "}
{"subject": "math:arxiv_147117", "predicate": "proves", "object": "we combine recent measurements of cosmic microwave background anisotropies , supernovae luminosity d"}
{"subject": "math:arxiv_147127", "predicate": "proves", "object": "a multi - channel scattering problem is studied from a point of view of integral equations system . "}
{"subject": "math:arxiv_147155", "predicate": "proves", "object": "a gauss diagram is a simple , combinatorial way to present a knot . \n it is known that any vassiliev"}
{"subject": "math:arxiv_147164", "predicate": "proves", "object": "regge calculus is used to construct initial data for vacuum axisymmetric brill waves at a moment of "}
{"subject": "math:arxiv_147178", "predicate": "proves", "object": "we study the role of the topology of the background space on the one - dimensional kardar - parisi -"}
{"subject": "math:arxiv_147188", "predicate": "proves", "object": "between 1964 and 1990 , the notion of nonlocality in bell s papers underwent a profound change as hi"}
{"subject": "math:arxiv_147190", "predicate": "proves", "object": "in this paper we analyze the possibility of persistent currents of a two - species bosonic mixture i"}
{"subject": "math:arxiv_147195", "predicate": "proves", "object": "this article provides a rigorous proof of a conjecture by e.c . \n bain in 1924 on the optimality of "}
{"subject": "math:arxiv_147196", "predicate": "proves", "object": "a revised version of the quaternion approach for numerical integration of the equations of motion fo"}
{"subject": "math:arxiv_147203", "predicate": "proves", "object": "cantorian fractal spacetime , a family member of von neumann s noncommutative geometry , is introduc"}
{"subject": "math:arxiv_147217", "predicate": "proves", "object": "by solving the boltzmann transport equation we investigate theoretically the general form of oscilla"}
{"subject": "math:arxiv_147226", "predicate": "proves", "object": "this article considers the existence and regularity of metrics on a compact manifold @xmath0 with ed"}
{"subject": "math:arxiv_147228", "predicate": "proves", "object": "we define a q - chromatic function on graphs , list some of its properties and provide some formulas"}
{"subject": "math:arxiv_147243", "predicate": "proves", "object": "around 1923 , lie cartan introduced affine connections on manifolds and defined the main related con"}
{"subject": "math:arxiv_147262", "predicate": "proves", "object": "we investigate the morphology dependence of the tully - fisher ( tf ) relation , and the expansion o"}
{"subject": "math:arxiv_147283", "predicate": "proves", "object": "we integrate the lifting cocycles @xmath0 ( [ sh1 ] , [ sh2 ] ) on the lie algebra @xmath1 of holomo"}
{"subject": "math:arxiv_147294", "predicate": "proves", "object": "this work provides a detailed derivation of a generalized quantum fokker - planck equation ( gqfpe )"}
{"subject": "math:arxiv_147298", "predicate": "proves", "object": "the purpose of this paper is to introduce and study the notions of @xmath0-rack and @xmath0-quandle "}
{"subject": "math:arxiv_147330", "predicate": "proves", "object": "we construct quantum invariants for handlebody - knots in a 3-sphere @xmath0 . \n a handlebody - knot"}
{"subject": "math:arxiv_147332", "predicate": "proves", "object": "the formula for the initial mass spectrum of primordial black holes ( pbhs ) , which can be used for"}
{"subject": "math:arxiv_147339", "predicate": "proves", "object": "kashiwara - schapira style sheaf theory is used to justify analytic continuability of solutions of t"}
{"subject": "math:arxiv_147340", "predicate": "proves", "object": "we exploit the excursion set approach in integral formulation to derive novel , accurate analytic ap"}
{"subject": "math:arxiv_147350", "predicate": "proves", "object": "we sketch an all order proof of cancellation of infrared ( ir ) divergences in light front quantum e"}
{"subject": "math:arxiv_147353", "predicate": "proves", "object": "motivated by the usefulness of boundaries in the study of @xmath0-hyperbolic and cat(0 ) groups , be"}
{"subject": "math:arxiv_147358", "predicate": "proves", "object": "depending on the topology of the magnetic field and characteristics of turbulent motions , diffusion"}
{"subject": "math:arxiv_147370", "predicate": "proves", "object": "we show that the trace formula interpretation of the explicit formulas expresses the counting functi"}
{"subject": "math:arxiv_147374", "predicate": "proves", "object": "using a geometry consisting of a hot central comptonizing plasma surrounded by a thin accretion disk"}
{"subject": "math:arxiv_147399", "predicate": "proves", "object": "we revisit the self - contained quantum refrigerator in the strong internal coupling regime by emplo"}
{"subject": "math:arxiv_147402", "predicate": "proves", "object": "we study the domain geometry during spinodal decomposition of a @xmath0:@xmath0 binary mixture in tw"}
{"subject": "math:arxiv_147420", "predicate": "proves", "object": "we derive a generalized gross - pitaevskii density - functional equation appropriate to study the bo"}
{"subject": "math:arxiv_147456", "predicate": "proves", "object": "classical and type ii cepheids are used to reinvestigate specific properties of the galaxy . a new t"}
{"subject": "math:arxiv_147466", "predicate": "proves", "object": "the notion of good spectral triple is initiated . \n we prove firstly that any regular spectral tripl"}
{"subject": "math:arxiv_147523", "predicate": "proves", "object": "we quantize prisoners dilemma and chicken game by our generalized quantization scheme to explore the"}
{"subject": "math:arxiv_147555", "predicate": "proves", "object": "the dispersion relations for nucleon - nucleon ( @xmath0 ) @xmath1-matrix in the framework of the be"}
{"subject": "math:arxiv_147567", "predicate": "proves", "object": "we discuss the question of whether or not a general weyl structure is a suitable mathematical model "}
{"subject": "math:arxiv_147572", "predicate": "proves", "object": "the measurement of the mass @xmath0 for psr j1614 - 2230 provides a new constraint on the equation o"}
{"subject": "math:arxiv_147574", "predicate": "proves", "object": "the asymptotic behaviour of the solutions of poincar s functional equation @xmath0 ( @xmath1 ) for @"}
{"subject": "math:arxiv_147575", "predicate": "proves", "object": "we show that an analogue of the ball - box theorem holds true for a class of corank 1 , non - differ"}
{"subject": "math:arxiv_147576", "predicate": "proves", "object": "for a plasma in a stationary homogeneous turbulence , the fokker - planck equation is derived from t"}
{"subject": "math:arxiv_147589", "predicate": "proves", "object": "we generalize doroshkevich s celebrated formulae for the eigenvalues of the initial shear field asso"}
{"subject": "math:arxiv_147600", "predicate": "proves", "object": "in this paper , we derive and study two versions of the short pulse equation ( spe ) in @xmath0dimen"}
{"subject": "math:arxiv_147602", "predicate": "proves", "object": "local models are certain schemes , defined in terms of linear - algebraic moduli problems , which gi"}
{"subject": "math:arxiv_147631", "predicate": "proves", "object": "in this paper we study two types of exponential instability  parametric resonance and chaos . \n we s"}
{"subject": "math:arxiv_147633", "predicate": "proves", "object": "after reviewing how the renormalization group equation can be used to sum logarithmic corrections to"}
{"subject": "math:arxiv_147642", "predicate": "proves", "object": "from the overlap lattice quark propagator calculated in the landau gauge , we determine the quark ch"}
{"subject": "math:arxiv_147672", "predicate": "proves", "object": "within the hyperspherical framework , the solution of the time - independent schrdinger equation for"}
{"subject": "math:arxiv_147676", "predicate": "proves", "object": "in two previous papers , the two first - named authors introduced a notion of contact @xmath0-surger"}
{"subject": "math:arxiv_147681", "predicate": "proves", "object": "random dictatorship has been characterized as the only social decision scheme that satisfies efficie"}
{"subject": "math:arxiv_147691", "predicate": "proves", "object": "a `` forward walking '' quantum monte carlo ( qmc ) algorithm has been developed to calculate correl"}
{"subject": "math:arxiv_147708", "predicate": "proves", "object": "we provide a mathematical theory and methodology for synthesising equational logics from algebraic m"}
{"subject": "math:arxiv_147714", "predicate": "proves", "object": "we compute the scattering data of the benjamin - ono equation for arbitrary rational initial conditi"}
{"subject": "math:arxiv_147721", "predicate": "proves", "object": "a fully algebraic approach to reconstructing one - dimensional reflectionless potentials is describe"}
{"subject": "math:arxiv_147725", "predicate": "proves", "object": "we present a microscopic derivation of self - consistent equations of anderson localization in a dis"}
{"subject": "math:arxiv_147729", "predicate": "proves", "object": "in the 3-dimensional riemannian geometry , contact structures equipped with an adapted riemannian me"}
{"subject": "math:arxiv_147730", "predicate": "proves", "object": "we represent the @xmath0  topological invariant characterizing a one dimensional topological superco"}
{"subject": "math:arxiv_147738", "predicate": "proves", "object": "we establish the strong comparison principle and strict positivity of solutions to the following non"}
{"subject": "math:arxiv_147754", "predicate": "proves", "object": "we describe a new formulation of the functional renormalization group ( rg ) for interacting fermion"}
{"subject": "math:arxiv_147775", "predicate": "proves", "object": "we explore the evolution of cooperation in the framework of the evolutionary game theory using the p"}
{"subject": "math:arxiv_147789", "predicate": "proves", "object": "we use a novel parameterization of the flowing hamiltonian to show that the flow equations based on "}
{"subject": "math:arxiv_147795", "predicate": "proves", "object": "we study some properties of a recently proposed local lorentz violating finsler geometry , the so - "}
{"subject": "math:arxiv_147840", "predicate": "proves", "object": "a method of representation of a solution as segments of the series in powers of the step of the inde"}
{"subject": "math:arxiv_147846", "predicate": "proves", "object": "in analogy to the definition of the lambda - determinant , we define a one - parameter deformation o"}
{"subject": "math:arxiv_147852", "predicate": "proves", "object": "we give a survey on meyer functions , with emphasis on their application to the signatures of fibere"}
{"subject": "math:arxiv_147868", "predicate": "proves", "object": "we study the survival probability time distribution ( sptd ) in dielectric cavities . in a circular "}
{"subject": "math:arxiv_147875", "predicate": "proves", "object": "an exact algorithm is presented for solving edge weighted graph partitioning problems . \n the algori"}
{"subject": "math:arxiv_147898", "predicate": "proves", "object": "the non - steady  state formation of small clusters and the growth of grains accompanied by chemical"}
{"subject": "math:arxiv_147911", "predicate": "proves", "object": "collaborative signal processing and sensor deployment have been among the most important research ta"}
{"subject": "math:arxiv_147912", "predicate": "proves", "object": "we show that the distance measures ( such as the luminosity and angular diameter distances ) are _ l"}
{"subject": "math:arxiv_147914", "predicate": "proves", "object": "we propose a definition of an exact lens equation _ without reference to a background spacetime _ , "}
{"subject": "math:arxiv_147916", "predicate": "proves", "object": "we develop a new method for proving algebraic independence of @xmath0-functions . \n our approach res"}
{"subject": "math:arxiv_147921", "predicate": "proves", "object": "we develop some theory of double fibration transforms where the cycle space is a smooth manifold and"}
{"subject": "math:arxiv_147961", "predicate": "proves", "object": "we study the numerical approximation of a time dependent equation involving fractional powers of an "}
{"subject": "math:arxiv_147969", "predicate": "proves", "object": "the analytic solution of the general relativity equations for spherically symmetric wormholes are gi"}
{"subject": "math:arxiv_147984", "predicate": "proves", "object": "we develop a model to study tetraquark production in hadronic collisions . \n we focus on double part"}
{"subject": "math:arxiv_148000", "predicate": "proves", "object": "we formulate the general approach based on the lindblad equation to calculate the full counting stat"}
{"subject": "math:arxiv_148004", "predicate": "proves", "object": "in this paper we statistically analyze the fokker - planck ( fp ) equation of schramm - loewner evol"}
{"subject": "math:arxiv_148025", "predicate": "proves", "object": "a cosmological model with perfect fluid and self - interacting quintessence field is considered in t"}
{"subject": "math:arxiv_148032", "predicate": "proves", "object": "we report the results from our first - generation experiment to measure the magnetic - dipole transi"}
{"subject": "math:arxiv_148053", "predicate": "proves", "object": "we examine the parametrization of the qcd coupling in the evolution equations , including dglap . \n "}
{"subject": "math:arxiv_148069", "predicate": "proves", "object": "we consider charged rotating black holes in 5-dimensional einstein - maxwell theory . \n these black "}
{"subject": "math:arxiv_148070", "predicate": "proves", "object": "we formulate evaporation phenomena in a generic model of generalized teleparallel gravity in weitzen"}
{"subject": "math:arxiv_148087", "predicate": "proves", "object": "we determine a weaker sufficient condition than that of theorem 5.2.1 in fleming and soner ( 2006 ) "}
{"subject": "math:arxiv_148089", "predicate": "proves", "object": "two canonical formulations of the einstein gravity in 2 + 1 dimensions , namely , the adm formalism "}
{"subject": "math:arxiv_148091", "predicate": "proves", "object": "the supersymmetric ( susy ) structure of coupled - mode equations that describe scattering of optica"}
{"subject": "math:arxiv_148093", "predicate": "proves", "object": "we present realistic equations of state for qcd matter at vanishing net - baryon density which embed"}
{"subject": "math:arxiv_148095", "predicate": "proves", "object": "the hermite pseudospectral method is applied to solve the navier - stokes equations on a two - dimen"}
{"subject": "math:arxiv_148099", "predicate": "proves", "object": "we establish a correspondence between the su(2 ) witten  reshetikhin  turaev invariant for the seife"}
{"subject": "math:arxiv_148103", "predicate": "proves", "object": "we give a characterization of indecomposable exceptional modules over finite dimensional gentle alge"}
{"subject": "math:arxiv_148106", "predicate": "proves", "object": "kempf _ et al . _ in ref.@xcite have formulated a hilbert space representation of quantum mechanics "}
{"subject": "math:arxiv_148108", "predicate": "proves", "object": "simulations of the dynamics of ions trapped in a paul trap with terms in the potential up to the ord"}
{"subject": "math:arxiv_148109", "predicate": "proves", "object": "measuring distances on a lattice in noncommutative geometry involves square , symmetric and real `` "}
{"subject": "math:arxiv_148132", "predicate": "proves", "object": "we compute the evolution of the space - dependent mass distribution of galaxies in clusters due to b"}
{"subject": "math:arxiv_148133", "predicate": "proves", "object": "the kasparov absorption ( or stabilization ) theorem states that any countably generated hilbert @xm"}
{"subject": "math:arxiv_148145", "predicate": "proves", "object": "we present a modification to the berger and oliger adaptive mesh refinement algorithm designed to so"}
{"subject": "math:arxiv_148148", "predicate": "proves", "object": "we solve the 2d dirac equation describing graphene in the presence of a linear vector potential . \n "}
{"subject": "math:arxiv_148152", "predicate": "proves", "object": "the launching of magnetohydrodynamic outflows from accretion disks is considered . \n we formulate a "}
{"subject": "math:arxiv_148168", "predicate": "proves", "object": "we consider the problem of classifying irreducible specht modules for the iwahori \n hecke algebra of"}
{"subject": "math:arxiv_148173", "predicate": "proves", "object": "we formulate and prove a quantum shannon - mcmillan theorem . \n the theorem demonstrates the signifi"}
{"subject": "math:arxiv_148175", "predicate": "proves", "object": "geometrically characterized ( gc ) sets were introduced by chung - yao in their work on polynomial i"}
{"subject": "math:arxiv_148177", "predicate": "proves", "object": "the electrostatic shielding of a charged absorbing object ( dust grain ) in a flowing collisionless "}
{"subject": "math:arxiv_148184", "predicate": "proves", "object": "this paper presents a complete algebraic proof of the renormalizability of the gauge invariant @xmat"}
{"subject": "math:arxiv_148204", "predicate": "proves", "object": "we investigate the electrical conductivity @xmath0 of quark matter via the kubo formula at finite te"}
{"subject": "math:arxiv_148206", "predicate": "proves", "object": "this paper develops a discontinuous galerkin ( dg ) finite element differential calculus theory for "}
{"subject": "math:arxiv_148229", "predicate": "proves", "object": "in this short note we use the polynomial ham sandwich theorem to strengthen a recent result of dvir "}
{"subject": "math:arxiv_148236", "predicate": "proves", "object": "in this paper , we study existence and stability of static black holes in lovelock theories with a p"}
{"subject": "math:arxiv_148243", "predicate": "proves", "object": "in this paper we explore the use of an equation of motion decoupling method as an impurity solver to"}
{"subject": "math:arxiv_148257", "predicate": "proves", "object": "within the conjectured duality between @xmath0 super yang - mills and anti - desitter string theory "}
{"subject": "math:arxiv_148264", "predicate": "proves", "object": "we develop a numerical algorithm to solve the high - order nonlinear derivative - coupling equation "}
{"subject": "math:arxiv_148269", "predicate": "proves", "object": "in this paper we derive the equations of motion for two - layer point vortex motion on the upper hal"}
{"subject": "math:arxiv_148271", "predicate": "proves", "object": "a subgraph of an edge - coloured complete graph is called rainbow if all its edges have different co"}
{"subject": "math:arxiv_148274", "predicate": "proves", "object": "we obtain approximate analytic expressions for the critical value of the total angular momentum of a"}
{"subject": "math:arxiv_148297", "predicate": "proves", "object": "chandrasekhar separated the dirac equation for spinning and massive particles in kerr geometry in ra"}
{"subject": "math:arxiv_148308", "predicate": "proves", "object": "from any @xmath0-dimensional oriented handlebody @xmath1 without 3- and 4-handles and with @xmath2 ,"}
{"subject": "math:arxiv_148317", "predicate": "proves", "object": "we formulate the equations of equilibrium of neutron stars taking into account strong , weak , elect"}
{"subject": "math:arxiv_148318", "predicate": "proves", "object": "we show that a semi - commutative galois extension of a unital associative algebra can be endowed wi"}
{"subject": "math:arxiv_148344", "predicate": "proves", "object": "starting from the chemical master equation , we employ field theoretic techniques to derive langevin"}
{"subject": "math:arxiv_148347", "predicate": "proves", "object": "we present a low energy expansion of the kramers - heisenberg formula for atomic hydrogen in terms o"}
{"subject": "math:arxiv_148350", "predicate": "proves", "object": "by treating the real maxwell field and real linearized einstein equations as being imbedded in compl"}
{"subject": "math:arxiv_148352", "predicate": "proves", "object": "monte carlo techniques have been widely employed in statistical physics as well as in quantum theory"}
{"subject": "math:arxiv_148356", "predicate": "proves", "object": "the tangential map is a map on the set of smooth planar curves . \n it satisfies the 3d - consistency"}
{"subject": "math:arxiv_148368", "predicate": "proves", "object": "using the virial theorem of the heavy - quark effective theory , we show that the mixing of the oper"}
{"subject": "math:arxiv_148379", "predicate": "proves", "object": "in computing the spectra of quantum mechanical systems one encounters the fourier transforms of time"}
{"subject": "math:arxiv_148385", "predicate": "proves", "object": "we show that the virial theorem provides a useful simple tool for approximating nonlinear problems ."}
{"subject": "math:arxiv_148393", "predicate": "proves", "object": "an array of @xmath0 closely spaced dipole coupled quantum emitters exhibits super- and subradiance w"}
{"subject": "math:arxiv_148400", "predicate": "proves", "object": "we study the possibility of d@xmath0 ferromagnetism in the compound mgo doped with nitrogen ( n ) . "}
{"subject": "math:arxiv_148404", "predicate": "proves", "object": "we analyze a realistic microscopic model for electronic scattering based on the neutral differential"}
{"subject": "math:arxiv_148455", "predicate": "proves", "object": "a combinatorial condition is obtained for when immersed or embedded incompressible surfaces in compa"}
{"subject": "math:arxiv_148460", "predicate": "proves", "object": "we investigated the formation of the h \n k doublet in a weakly magnetized atmosphere ( 20100 g ) usi"}
{"subject": "math:arxiv_148464", "predicate": "proves", "object": "antisymmetrized molecular dynamics ( amd ) with quantum branching processes is reformulated so that "}
{"subject": "math:arxiv_148470", "predicate": "proves", "object": "kelly , khn and osthus conjectured that for any @xmath0 and the smallest number @xmath1 that does no"}
{"subject": "math:arxiv_148476", "predicate": "proves", "object": "we systematically formulate a hierarchy of isospectral hamiltonians in one - dimensional supersymmet"}
{"subject": "math:arxiv_148490", "predicate": "proves", "object": "we describe the generic behavior of fredholm indices in the space of toeplitz operators . \n we relat"}
{"subject": "math:arxiv_148507", "predicate": "proves", "object": "we derive and employ a local potential to represent the fock exchange operator in electronic single "}
{"subject": "math:arxiv_148511", "predicate": "proves", "object": "this paper presents a complete algebraic analysis of the renormalizability of the @xmath0 operator @"}
{"subject": "math:arxiv_148516", "predicate": "proves", "object": "we give an explicit subtraction - free formula for the energy function in tensor products of kirillo"}
{"subject": "math:arxiv_148529", "predicate": "proves", "object": "we present a short review of theoretical results ( mainly for experimentalists ) published in many d"}
{"subject": "math:arxiv_148532", "predicate": "proves", "object": "we prove that one can obtain natural bundles of lie algebras on rank two @xmath0-manifolds , whose f"}
{"subject": "math:arxiv_148533", "predicate": "proves", "object": "a deformed boson mapping of the marumori type is derived for an underlying @xmath0 algebra . as an e"}
{"subject": "math:arxiv_148592", "predicate": "proves", "object": "we give an explicit upper bound for a number of limit cycles of the linard equation @xmath0 , @xmath"}
{"subject": "math:arxiv_148598", "predicate": "proves", "object": "following a recent work on the effective description of the equations of state for hot qcd obtained "}
{"subject": "math:arxiv_148625", "predicate": "proves", "object": "an algebraic characterization of the property of approximate controllability is given , for behaviou"}
{"subject": "math:arxiv_148634", "predicate": "proves", "object": "tilings of a quadriculated annulus @xmath0 are counted according to _ volume _ ( in the formal varia"}
{"subject": "math:arxiv_148635", "predicate": "proves", "object": "we show that projective k3 surfaces with odd picard rank contain infinitely many rational curves . \n"}
{"subject": "math:arxiv_148638", "predicate": "proves", "object": "in this paper bounds for @xmath0 , @xmath1 , and @xmath2 are obtained in chiral perturbation theory "}
{"subject": "math:arxiv_148645", "predicate": "proves", "object": "we give an explicit formula for the membrane potential of cells in terms of the intracellular and ex"}
{"subject": "math:arxiv_148673", "predicate": "proves", "object": "we investigate the spacetime of anisotropic stars admitting conformal motion . \n the einstein field "}
{"subject": "math:arxiv_148674", "predicate": "proves", "object": "in this work a study of the gravity is made using einstein s equation in the post - newtonian approa"}
{"subject": "math:arxiv_148675", "predicate": "proves", "object": "we use our resummed quantum gravity approach to einstein s general theory of relativity in the conte"}
{"subject": "math:arxiv_148692", "predicate": "proves", "object": "we prove that , in the gilbert model for a random geometric graph , almost every graph becomes hamil"}
{"subject": "math:arxiv_148694", "predicate": "proves", "object": "we investigate the nonequilibrium population of a vibrational mode in the steady - state of a biased"}
{"subject": "math:arxiv_148696", "predicate": "proves", "object": "a family of algebraic surfaces with many nondegenerate real singularities is introduced with the hel"}
{"subject": "math:arxiv_148700", "predicate": "proves", "object": "we formulate a zeldovich - like approximation for the chaplygin gas equation of state @xmath0 , and "}
{"subject": "math:arxiv_148706", "predicate": "proves", "object": "the structure of the equation of state @xmath0 could be very complicate in nature while a few linear"}
{"subject": "math:arxiv_148714", "predicate": "proves", "object": "[ multiblock footnote omitted ] algebraic methods for the construction , design and analysis of seri"}
{"subject": "math:arxiv_148724", "predicate": "proves", "object": "in this work , two particular orthogonal and conformal decompositions of the 3 + 1 dimensional einst"}
{"subject": "math:arxiv_148729", "predicate": "proves", "object": "we conjecture that one of the main obstacles to creating new non - abelian quantum hidden subgroup a"}
{"subject": "math:arxiv_148731", "predicate": "proves", "object": "the paper deals with the extension of the weak isolated horizon ( wih ) formulation to the non- mini"}
{"subject": "math:arxiv_148743", "predicate": "proves", "object": "a coercivity property of temporal convolution operators is an essential tool in the analysis of time"}
{"subject": "math:arxiv_148748", "predicate": "proves", "object": "we discuss a connection between the lantern relation in mapping class groups and the rational blowin"}
{"subject": "math:arxiv_148756", "predicate": "proves", "object": "in this work we prove the existence of embedded closed minimal hypersurfaces in non - compact manifo"}
{"subject": "math:arxiv_148784", "predicate": "proves", "object": "we consider laplace transforms of the picard - fuchs differential equations of calabi - yau hypersur"}
{"subject": "math:arxiv_148790", "predicate": "proves", "object": "we construct the green functions ( or feynman s propagators ) for the schrdinger equations of the fo"}
{"subject": "math:arxiv_148791", "predicate": "proves", "object": "a brief introduction is given to the concept of the effective average action . \n its dependence on t"}
{"subject": "math:arxiv_148793", "predicate": "proves", "object": "we use the truncated wigner approximation to derive stochastic classical field equations for the des"}
{"subject": "math:arxiv_148797", "predicate": "proves", "object": "we show that the holonomy of a connection defined on a principal composite bundle is related by a no"}
{"subject": "math:arxiv_148815", "predicate": "proves", "object": "in game theory , players have continuous expected payoff functions and can use fixed point theorems "}
{"subject": "math:arxiv_148826", "predicate": "proves", "object": "theoretical optical and x - ray spectra of model structures of water and ice are calculated using a "}
{"subject": "math:arxiv_148834", "predicate": "proves", "object": "this is a purely pedagogical paper with no new results . \n the goal of the paper is to give a fairly"}
{"subject": "math:arxiv_148857", "predicate": "proves", "object": "feynman s prescription for a quantum simulator was to find a hamitonian for a system that could serv"}
{"subject": "math:arxiv_148858", "predicate": "proves", "object": "we investigate how to find generic and globally rigid realizations of graphs in @xmath0 based on ele"}
{"subject": "math:arxiv_148898", "predicate": "proves", "object": "the evolution of black - hole binaries in vacuum spacetimes constitutes the two - body problem in ge"}
{"subject": "math:arxiv_148907", "predicate": "proves", "object": "a rigorous theorem due to aizenman and wehr asserts that there can be no latent heat in a two - dime"}
{"subject": "math:arxiv_148910", "predicate": "proves", "object": "for the integrable system on @xmath0 found by sokolov and tsiganov we obtain explicit equations of s"}
{"subject": "math:arxiv_148918", "predicate": "proves", "object": "we present an algorithm for the rapid numerical integration of smooth , time - periodic differential"}
{"subject": "math:arxiv_148923", "predicate": "proves", "object": "the aim of this paper is to derive new representations for the hankel functions , the bessel functio"}
{"subject": "math:arxiv_148925", "predicate": "proves", "object": "in this paper , we establish a connection between the recently developed data - driven time - freque"}
{"subject": "math:arxiv_148947", "predicate": "proves", "object": "we investigate the instabilities of low winding number electroweak strings using standard numerical "}
{"subject": "math:arxiv_148948", "predicate": "proves", "object": "we study the global behavior of finite energy solutions to the @xmath0-dimensional focusing nonlinea"}
{"subject": "math:arxiv_148952", "predicate": "proves", "object": "a new fermionic formula for the unrestricted kostka polynomials of type @xmath0 is presented . \n thi"}
{"subject": "math:arxiv_148967", "predicate": "proves", "object": "leapfrogging motion of vortex rings sharing the same axis of symmetry was first predicted by helmhol"}
{"subject": "math:arxiv_148976", "predicate": "proves", "object": "in this paper , we make some conjectures on prime numbers that are sharper than those found in the c"}
{"subject": "math:arxiv_149000", "predicate": "proves", "object": "using the degeneration formula for doanldson - thomas invariants , we proved a formula for the chang"}
{"subject": "math:arxiv_149011", "predicate": "proves", "object": "we use modal logic as a framework for coalgebraic trace semantics , and show the flexibility of the "}
{"subject": "math:arxiv_149012", "predicate": "proves", "object": "two body dirac equations ( tbde ) of dirac s relativistic constraint dynamics have been successfully"}
{"subject": "math:arxiv_149016", "predicate": "proves", "object": "recently , we have shown how a colored - noise langevin equation can be used in the context of molec"}
{"subject": "math:arxiv_149031", "predicate": "proves", "object": "we consider the burgers equation on the real line with forcing given by poissonian noise with no per"}
{"subject": "math:arxiv_149032", "predicate": "proves", "object": "the observed phenomenon of neutrino oscillations is interpreted as the proof that neutrinos must hav"}
{"subject": "math:arxiv_149033", "predicate": "proves", "object": "in this paper , we establish the connection between the quantized w - algebra of @xmath0 and quantum"}
{"subject": "math:arxiv_149064", "predicate": "proves", "object": "this paper examines the global regularity problem on the two - dimensional incompressible boussinesq"}
{"subject": "math:arxiv_149114", "predicate": "proves", "object": "this paper is concerned with energy properties of the wave equation associated to the dunkl - chered"}
{"subject": "math:arxiv_149128", "predicate": "proves", "object": "according to modified regge calculus ( morc ) , large - scale rarified distributions of matter can l"}
{"subject": "math:arxiv_149135", "predicate": "proves", "object": "this paper develops a geometric model for coupled two - state quantum systems ( qubits ) using geome"}
{"subject": "math:arxiv_149144", "predicate": "proves", "object": "during the last three decades the internet has experienced fascinating evolution , both exponential "}
{"subject": "math:arxiv_149166", "predicate": "proves", "object": "this paper considers a two - dimensional logistic model to study populations with two genders . \n th"}
{"subject": "math:arxiv_149181", "predicate": "proves", "object": "based on the axiomatization of reversible computing racp , we generalize it to quantum reversible co"}
{"subject": "math:arxiv_149191", "predicate": "proves", "object": "using the feynman diagram techniques , we derive the finite - temperature conductivity and magnetoco"}
{"subject": "math:arxiv_149198", "predicate": "proves", "object": "we begin with formulating the stationary equations of the kuramoto model as a system of polynomial e"}
{"subject": "math:arxiv_149209", "predicate": "proves", "object": "we derive new results about properties of the witten zeta function associated with the group @xmath0"}
{"subject": "math:arxiv_149214", "predicate": "proves", "object": "master equations are commonly used to describe time evolution of open systems . \n we introduce a gen"}
{"subject": "math:arxiv_149221", "predicate": "proves", "object": "we show the exact solution of bogoliubov equations at zero - energy in the critical supercurrent sta"}
{"subject": "math:arxiv_149226", "predicate": "proves", "object": "in this note we introduce the notion of @xmath0-analytic sets . using this concept \n , we construct "}
{"subject": "math:arxiv_149228", "predicate": "proves", "object": "tropical geometry is sensitive to embeddings of algebraic varieties inside toric varieties . \n the p"}
{"subject": "math:arxiv_149238", "predicate": "proves", "object": "we investigate the global fluctuations of solutions to elliptic equations with random coefficients i"}
{"subject": "math:arxiv_149239", "predicate": "proves", "object": "we investigate the behavior of the return amplitude @xmath0 following a quantum quench in a conforma"}
{"subject": "math:arxiv_149258", "predicate": "proves", "object": "we give a local classification of @xmath0-contact metric manifold @xmath1 with @xmath2 which satisfi"}
{"subject": "math:arxiv_149265", "predicate": "proves", "object": "in order to better understand reasoning involved in analyzing infinite games in extensive form , we "}
{"subject": "math:arxiv_149307", "predicate": "proves", "object": "we prove that norm continuous derivations from a von neumann algebra into the algebra of operators a"}
{"subject": "math:arxiv_149333", "predicate": "proves", "object": "we perform an exact spherical geometry finite - size diagonalization calculation for the fractional "}
{"subject": "math:arxiv_149341", "predicate": "proves", "object": "recent theoretical work has suggested that ly@xmath0  nebulae could be substantially polarized in th"}
{"subject": "math:arxiv_149343", "predicate": "proves", "object": "we consider two @xmath0 supersymmetric gauge theories connected by an interface and the gravity dual"}
{"subject": "math:arxiv_149346", "predicate": "proves", "object": "we present a class of conformally flat solutions of the einstein s field equations for spherical sys"}
{"subject": "math:arxiv_149360", "predicate": "proves", "object": "a theoretical study on the equation of state and the critical point behavior of hard - core double -"}
{"subject": "math:arxiv_149371", "predicate": "proves", "object": "we study the bloch oscillations ( bos ) of two - component bose - einstein condensates ( becs ) trap"}
{"subject": "math:arxiv_149391", "predicate": "proves", "object": "the twist construction is a geometric t - duality that produces new manifolds from old , works well "}
{"subject": "math:arxiv_149421", "predicate": "proves", "object": "we investigate matter - induced ( or extrinsic ) cpt violation effects in neutrino oscillations in m"}
{"subject": "math:arxiv_149427", "predicate": "proves", "object": "we give a new proof for a theorem of ehrhart regarding the quasi - polynomiality of the function tha"}
{"subject": "math:arxiv_149430", "predicate": "proves", "object": "the chiral conformal field theory of free super - bosons is generated by weight one currents whose m"}
{"subject": "math:arxiv_149431", "predicate": "proves", "object": "we review current state of neutron star cooling theory and discuss the prospects to constrain the eq"}
{"subject": "math:arxiv_149439", "predicate": "proves", "object": "it was shown , that the presence of the so - called x - matter with an equation of state , which lie"}
{"subject": "math:arxiv_149457", "predicate": "proves", "object": "optimal design of water distribution networks , which are governed by a series of linear and nonline"}
{"subject": "math:arxiv_149464", "predicate": "proves", "object": "for an eco - epidemic model with disease in the prey and periodic coefficients it is conjectured in "}
{"subject": "math:arxiv_149495", "predicate": "proves", "object": "3.0 ex the factorization theorem for the dijet cross section is considered in hadron - hadron collis"}
{"subject": "math:arxiv_149502", "predicate": "proves", "object": "we review models of biological evolution in which the population frequency changes deterministically"}
{"subject": "math:arxiv_149541", "predicate": "proves", "object": "we prove in the general framework of noncommutative geometry that the inner fluctuations of the spec"}
{"subject": "math:arxiv_149552", "predicate": "proves", "object": "master equations in the lindblad form describe evolution of open quantum systems that is completely "}
{"subject": "math:arxiv_149559", "predicate": "proves", "object": "it has been conjectured that the distribution of magnifications of a point source microlensed by a r"}
{"subject": "math:arxiv_149563", "predicate": "proves", "object": "in this paper , bohmian mechanics is introduced to the intense laser - atom physics . \n the motion o"}
{"subject": "math:arxiv_149564", "predicate": "proves", "object": "we write down and solve equations describing steady state , optically thin , advection - dominated a"}
{"subject": "math:arxiv_149567", "predicate": "proves", "object": "in this paper , some new criteria for detecting whether a finite game is potential are proposed by s"}
{"subject": "math:arxiv_149569", "predicate": "proves", "object": "we introduce a lie algebra associated with a non - orientable surface , which is an analogue for the"}
{"subject": "math:arxiv_149577", "predicate": "proves", "object": "multi - configuration range - separated density - functional theory is extended to the time - depend"}
{"subject": "math:arxiv_149602", "predicate": "proves", "object": "in this paper we discuss an abstract iteration scheme for the calculation of the smallest eigenvalue"}
{"subject": "math:arxiv_149604", "predicate": "proves", "object": "large patterns could exist on the microwave sky as a result of various non - standard possibilities "}
{"subject": "math:arxiv_149630", "predicate": "proves", "object": "the navier - stokes equation driven by heat conduction is studied . as a prototype we consider rayle"}
{"subject": "math:arxiv_149643", "predicate": "proves", "object": "exact particle - like static , spherically and/or cylindrically symmetric solutions to the equations"}
{"subject": "math:arxiv_149675", "predicate": "proves", "object": "lovsz and plummer conjectured in the 1970 s that cubic bridgeless graphs have exponentially many per"}
{"subject": "math:arxiv_149689", "predicate": "proves", "object": "we show a procedure to classically simulate the majorana equation in 1 + 1 dimensions via two one - "}
{"subject": "math:arxiv_149698", "predicate": "proves", "object": "we re - consider the time dependent schrdinger - newton equation as a model for the self - gravitati"}
{"subject": "math:arxiv_149701", "predicate": "proves", "object": "one of the most important characteristics of light in flat spacetime is that it satisfies huygens pr"}
{"subject": "math:arxiv_149705", "predicate": "proves", "object": "we compute the waves propagating on a compact @xmath0-manifold of constant positive curvature with a"}
{"subject": "math:arxiv_149712", "predicate": "proves", "object": "we calculate the chern - simons invariants of the hyperbolic orbifolds of the knot with conway s not"}
{"subject": "math:arxiv_149730", "predicate": "proves", "object": "we give an overview of how calculus of the embedding functor can be used for the study of long knots"}
{"subject": "math:arxiv_149747", "predicate": "proves", "object": "i review the nature of three - dimensional collapse in the zeldovich approximation , how it relates "}
{"subject": "math:arxiv_149772", "predicate": "proves", "object": "one of the most important problems in the study of agn is understanding the detailed geometry , phys"}
{"subject": "math:arxiv_149777", "predicate": "proves", "object": "we study a proof - of - principle example of the recently proposed hybrid quantum - classical simula"}
{"subject": "math:arxiv_149784", "predicate": "proves", "object": "we give new explicit formulas for the representations of the mapping class group of a genus one surf"}
{"subject": "math:arxiv_149788", "predicate": "proves", "object": "there are two main constructions in classical descent theory : the category of algebras and the desc"}
{"subject": "math:arxiv_149790", "predicate": "proves", "object": "investigating iterated poisson brackets involving the volume functional together with the euclidean "}
{"subject": "math:arxiv_149796", "predicate": "proves", "object": "in this article we prove the explicit mordell conjecture for large families of curves . \n in additio"}
{"subject": "math:arxiv_149814", "predicate": "proves", "object": "we obtain explicit solutions of the mean curvature flow in some submanifolds of the euclidean space "}
{"subject": "math:arxiv_149826", "predicate": "proves", "object": "in this work we study the trajectories of test particles in a geometry that is the nonlinear electro"}
{"subject": "math:arxiv_149830", "predicate": "proves", "object": "three - jet event - shape distributions can be exploited to investigate the dependence of hadronisat"}
{"subject": "math:arxiv_149840", "predicate": "proves", "object": "a simple relation between inhomogeneous transfer matrices and boundary quantum kz equations is exhib"}
{"subject": "math:arxiv_149854", "predicate": "proves", "object": "algebraic topology ( homology ) is used to analyze the weakly turbulent state of spiral defect chaos"}
{"subject": "math:arxiv_149857", "predicate": "proves", "object": "the electronic structure of an atom with @xmath0 can be described by the dirac equation with the cou"}
{"subject": "math:arxiv_149869", "predicate": "proves", "object": "_ given a solution of a semilinear dispersive partial differential equation with a real analytic non"}
{"subject": "math:arxiv_149887", "predicate": "proves", "object": "we study an evolutionary spatial prisoner s dilemma game where the fitness of the players is determi"}
{"subject": "math:arxiv_149889", "predicate": "proves", "object": "this work studies the dependence of the solution with respect to interface geometric perturbations i"}
{"subject": "math:arxiv_149893", "predicate": "proves", "object": "we prove a general functional limit theorem for multiparameter fractional brownian motion . \n the fu"}
{"subject": "math:arxiv_149900", "predicate": "proves", "object": "we propose a new presentation of the demiaski - newman ( dn ) solution of the axisymmetric einstein "}
{"subject": "math:arxiv_149920", "predicate": "proves", "object": "within a one particle approximation of the dirac equation we investigate a defect system in a quantu"}
{"subject": "math:arxiv_149921", "predicate": "proves", "object": "dark energy perturbations are normally either neglected or else included in a purely numerical way ,"}
{"subject": "math:arxiv_149923", "predicate": "proves", "object": "this paper proves the existence and uniqueness of a time - invariant measure for the 2d navier - sto"}
{"subject": "math:arxiv_149926", "predicate": "proves", "object": "the aim of this paper is to define certain algebraic structures coming from generalized reidemeister"}
{"subject": "math:arxiv_149939", "predicate": "proves", "object": "we construct an effective model for the qcd equation of state , taking into account chiral symmetry "}
{"subject": "math:arxiv_149940", "predicate": "proves", "object": "in the theories of generalized modified gravity , the acceleration equation is generally fourth orde"}
{"subject": "math:arxiv_149945", "predicate": "proves", "object": "new exact interior solutions to the einstein field equations for anisotropic spheres are found . \n w"}
{"subject": "math:arxiv_149952", "predicate": "proves", "object": "i review , on an advanced level , some of the algebraic and geometric structures that underlie the t"}
{"subject": "math:arxiv_149962", "predicate": "proves", "object": "topological quantum field theories can be used as a powerful tool to probe geometry and topology in "}
{"subject": "math:arxiv_149973", "predicate": "proves", "object": "we present a dynamical spectral model for large eddy simulation of the incompressible magnetohydrody"}
{"subject": "math:arxiv_149974", "predicate": "proves", "object": "a new formula for the nuclear charge radius is proposed , dependent on the mass number @xmath0 and n"}
{"subject": "math:arxiv_149981", "predicate": "proves", "object": "in the framework of a hyperboloidal initial value formulation for the cubic wave equation , we ident"}
{"subject": "math:arxiv_149983", "predicate": "proves", "object": "a universe filled with a homogeneous scalar field exhibits ` _ cosmological hysteresis _ ' . \n cosmo"}
{"subject": "math:arxiv_149991", "predicate": "proves", "object": "we restate the adiabatic elimination approximation as the first term in a singular perturbation expa"}
{"subject": "math:arxiv_150009", "predicate": "proves", "object": "using the pcac relation , we derive a compact formula for the pion decay constant @xmath0 in the non"}
{"subject": "math:arxiv_150011", "predicate": "proves", "object": "we propose a method for filling arbitrarily wide gaps in deterministic time series . \n crucial to th"}
{"subject": "math:arxiv_150026", "predicate": "proves", "object": "we investigate the possibility that the spatial dependency of stress in generalized newtonian flow s"}
{"subject": "math:arxiv_150035", "predicate": "proves", "object": "we investigate the properties of norm - conserving pseudopotentials ( effective core potentials ) ge"}
{"subject": "math:arxiv_150036", "predicate": "proves", "object": "the superconducting state in a fully frustrated wire network with the dice lattice geometry is inves"}
{"subject": "math:arxiv_150049", "predicate": "proves", "object": "we prove a volume inequality for 3-manifolds having @xmath0 metrics `` bent '' along a hypersurface "}
{"subject": "math:arxiv_150075", "predicate": "proves", "object": "the non - conserved @xmath0 model defined by a langevin equation with external non - white noise is "}
{"subject": "math:arxiv_150089", "predicate": "proves", "object": "this paper develops a detailed quantitative model which uses the drake equation and an assumption of"}
{"subject": "math:arxiv_150103", "predicate": "proves", "object": "this paper is the continuation of the paper arxiv:1509.06950 , which is part i under the same title "}
{"subject": "math:arxiv_150113", "predicate": "proves", "object": "we investigate the existence and especially the linear stability of single and multiple - charge qua"}
{"subject": "math:arxiv_150115", "predicate": "proves", "object": "an equilibrium of a planar , piecewise-@xmath0 , continuous system of differential equations that cr"}
{"subject": "math:arxiv_150118", "predicate": "proves", "object": "starting from newton s gravitational theory , we give a general introduction into the spherically sy"}
{"subject": "math:arxiv_150121", "predicate": "proves", "object": "we investigate the way in which oscillating dumb - bells , a simple microscopic model of apolar swim"}
{"subject": "math:arxiv_150131", "predicate": "proves", "object": "weyl s formulation of quantum mechanics opened the possibility of studying the dynamics of quantum s"}
{"subject": "math:arxiv_150139", "predicate": "proves", "object": "we construct anosov diffeomorphisms on manifolds that are homeomorphic to infranilmanifolds yet have"}
{"subject": "math:arxiv_150157", "predicate": "proves", "object": "the solidification of polycrystalline materials can be modelled by orientation - field models , whic"}
{"subject": "math:arxiv_150158", "predicate": "proves", "object": "an exact solution of einstein s equations which represents a pair of accelerating and rotating black"}
{"subject": "math:arxiv_150165", "predicate": "proves", "object": "we prove the exact relations between the critical exponents and the susceptibility , implied by the "}
{"subject": "math:arxiv_150177", "predicate": "proves", "object": "we introduce a diffuse interface model for the phenomenon of electrowetting on dielectric and presen"}
{"subject": "math:arxiv_150200", "predicate": "proves", "object": "we propose a set theoretical foundation including an axiom of constructibility and derive a generali"}
{"subject": "math:arxiv_150203", "predicate": "proves", "object": "eigenvalues of the breit equation @xmath0 \\psi_{\\alpha^{\\prime } \\beta^{\\prime } } = e \\psi_{\\alpha "}
{"subject": "math:arxiv_150204", "predicate": "proves", "object": "here we develop simple numerical algorithms for both stationary and non - stationary solutions of th"}
{"subject": "math:arxiv_150206", "predicate": "proves", "object": "in the last decade , the perfectly matched layer ( pml ) approach has proved a flexible and accurate"}
{"subject": "math:arxiv_150244", "predicate": "proves", "object": "the macroscopic behavior of dissipative stochastic partial differential equations usually can be des"}
{"subject": "math:arxiv_150249", "predicate": "proves", "object": "let @xmath0 be a number field . in this paper , we give a formula for the mean value of the square o"}
{"subject": "math:arxiv_150253", "predicate": "proves", "object": "we will propose a new algorithm for finding critical points of cost functions defined on a different"}
{"subject": "math:arxiv_150285", "predicate": "proves", "object": "there are no reasons why the energy spectra of the relic gravitons amplified by the pumping action o"}
{"subject": "math:arxiv_150292", "predicate": "proves", "object": "for the gas near a solid planar wall , we propose a scaling formula for the mean free path of a mole"}
{"subject": "math:arxiv_150308", "predicate": "proves", "object": "we investigate hole spin relaxation in intrinsic and @xmath0-type bulk gaas from a fully microscopic"}
{"subject": "math:arxiv_150310", "predicate": "proves", "object": "it is well known that multi - point seshadri constants for a small number @xmath0 of points in the p"}
{"subject": "math:arxiv_150317", "predicate": "proves", "object": "for a closed , oriented 3-manifold @xmath0 and an integer @xmath1 , let @xmath2 denote the @xmath3 r"}
{"subject": "math:arxiv_150341", "predicate": "proves", "object": "the concept of velocity dependent mass , relativistic mass , is examined and is found to be inconsis"}
{"subject": "math:arxiv_150345", "predicate": "proves", "object": "the wave equation for vectors and symmetric tensors in spherical coordinates is studied under the di"}
{"subject": "math:arxiv_150356", "predicate": "proves", "object": "ad hoc electrical networks are formed by connecting power sources and loads without pre - determinin"}
{"subject": "math:arxiv_150364", "predicate": "proves", "object": "recently , mirror symmetry is derived as t - duality applied to gauge systems that flow to non - lin"}
{"subject": "math:arxiv_150366", "predicate": "proves", "object": "the gravitational collapse of a high - density null charged matter fluid , satisfying the hagedorn e"}
{"subject": "math:arxiv_150392", "predicate": "proves", "object": "1.0 cm * keywords * : cosmology , statistical mechanics , equation of state + * pacs * : 98.80.-k , "}
{"subject": "math:arxiv_150396", "predicate": "proves", "object": "motivated by the programmes initiated by taubes and perutz , we study the geometry of _ near - sympl"}
{"subject": "math:arxiv_150434", "predicate": "proves", "object": "in this article we study both left - invariant ( convection-)diffusions and left - invariant hamilto"}
{"subject": "math:arxiv_150447", "predicate": "proves", "object": "the problem of source algebra equivalences between blocks at the ends of the maximal strings of spin"}
{"subject": "math:arxiv_150462", "predicate": "proves", "object": "we show that by performing the gluck twist along the 2-knot @xmath0 derived from two ribbon presenta"}
{"subject": "math:arxiv_150469", "predicate": "proves", "object": "for a classical system of noninteracting particles we establish recursive integral equations for the"}
{"subject": "math:arxiv_150476", "predicate": "proves", "object": "we consider an active scalar equation that is motivated by a model for magneto - geostrophic dynamic"}
{"subject": "math:arxiv_150483", "predicate": "proves", "object": "using simple space - time implementation of the random cascade model we investigate numerically a co"}
{"subject": "math:arxiv_150487", "predicate": "proves", "object": "let @xmath0 be a closed riemannian manifold , @xmath1 be a tonelli lagrangian . \n given two closed s"}
{"subject": "math:arxiv_150491", "predicate": "proves", "object": "we establish _ new hlder and lipschitz _ estimates for viscosity solutions of a large class of ellip"}
{"subject": "math:arxiv_150506", "predicate": "proves", "object": "dyson - schwinger equations furnish a poincar covariant framework within which to study hadrons . \n "}
{"subject": "math:arxiv_150507", "predicate": "proves", "object": "an alternate form of discrete potential boussinesq equation is proposed and its multisoliton solutio"}
{"subject": "math:arxiv_150511", "predicate": "proves", "object": "an internal coproduct is described , which is compatible with hoffman s quasi - shuffle product . \n "}
{"subject": "math:arxiv_150519", "predicate": "proves", "object": "we consider one - dimensional fokker - planck and schrdinger equations with a potential which approa"}
{"subject": "math:arxiv_150525", "predicate": "proves", "object": "a general nonautonomous mackey - glass equation for the regulation of the hematopoiesis with several"}
{"subject": "math:arxiv_150537", "predicate": "proves", "object": "a _ homology cylinder _ over a compact manifold is a homology cobordism between two copies of the ma"}
{"subject": "math:arxiv_150544", "predicate": "proves", "object": "we construct approximate analytical solutions to the constraint equations of general relativity for "}
{"subject": "math:arxiv_150549", "predicate": "proves", "object": "in this paper , we compute the khovanov homology over @xmath0 for @xmath1 pretzel knots for @xmath2 "}
{"subject": "math:arxiv_150561", "predicate": "proves", "object": "solutions to finite - dimensional ( all spatial fourier modes set to zero beyond a finite wavenumber"}
{"subject": "math:arxiv_150566", "predicate": "proves", "object": "there exist uniformly quasiregular maps @xmath0 whose julia sets are wild cantor sets \n .    [ secti"}
{"subject": "math:arxiv_150573", "predicate": "proves", "object": "if @xmath0 is a real form of a complex semisimple lie group @xmath1 and @xmath2 is compact @xmath1-h"}
{"subject": "math:arxiv_150574", "predicate": "proves", "object": "we present a parametric finite element approximation of two - phase flow . \n this free boundary prob"}
{"subject": "math:arxiv_150578", "predicate": "proves", "object": "we present a semiclassical theory for transport through open billiards of arbitrary convex shape tha"}
{"subject": "math:arxiv_150581", "predicate": "proves", "object": "we develop a frame and dyad gauge - independent formalism for the calculus of variations of function"}
{"subject": "math:arxiv_150589", "predicate": "proves", "object": "we have studied properties of a classical @xmath0-body double - well system coupled to an @xmath1-bo"}
{"subject": "math:arxiv_150594", "predicate": "proves", "object": "we show that the alternative discrete painlev i equation ( alt-@xmath0 ) has a unique solution which"}
{"subject": "math:arxiv_150597", "predicate": "proves", "object": "it is shown that the fundamental standard hadron cascade diffusion equation in the mellin transform "}
{"subject": "math:arxiv_150617", "predicate": "proves", "object": "the hierarchy of equations of motion for equal - time green functions in temporal gauge su(n ) yang "}
{"subject": "math:arxiv_150620", "predicate": "proves", "object": "we examine a bulk - edge correspondence of branching mera networks at finite temperatures in terms o"}
{"subject": "math:arxiv_150630", "predicate": "proves", "object": "the inverse source problem for the radiative transfer equation is considered , with partial data . h"}
{"subject": "math:arxiv_150647", "predicate": "proves", "object": "we study the transverse spin diffusion of trapped polarized fermi gases based on the quantum boltzma"}
{"subject": "math:arxiv_150663", "predicate": "proves", "object": "general formulas of entanglement concentration are derived by using an information - spectrum approa"}
{"subject": "math:arxiv_150709", "predicate": "proves", "object": "using the generalized langevin equation formalism and the process of contraction of the description "}
{"subject": "math:arxiv_150715", "predicate": "proves", "object": "we consider an ising model confined in an @xmath0 geometry with identical surface fields at the boun"}
{"subject": "math:arxiv_150731", "predicate": "proves", "object": "we explore the cosmological constraints on the parameter @xmath0 of the dark matter barotropic equat"}
{"subject": "math:arxiv_150752", "predicate": "proves", "object": "the equation of motion in the generally covariant modified gravity ( mog ) theory leads for weak gra"}
{"subject": "math:arxiv_150758", "predicate": "proves", "object": "we derive a differential equation for the one  particle  irreducible vertex functions of interacting"}
{"subject": "math:arxiv_150772", "predicate": "proves", "object": "the main instabilities induced by rotation in stellar interiors are described . \n we derive from fir"}
{"subject": "math:arxiv_150780", "predicate": "proves", "object": "we present an exact functional formalism to deal with linear langevin equations with arbitrary memor"}
{"subject": "math:arxiv_150782", "predicate": "proves", "object": "time evolution of a black hole lattice universe is simulated . the vacuum einstein equations in a cu"}
{"subject": "math:arxiv_150795", "predicate": "proves", "object": "continuing our research on extensions of locally compact quantum groups , we give a classification o"}
{"subject": "math:arxiv_150851", "predicate": "proves", "object": "pseudoprocesses , constructed by means of the solutions of higher - order heat - type equations have"}
{"subject": "math:arxiv_150852", "predicate": "proves", "object": "this paper studies the equivalence between differentiable and non - differentiable dynamics in @xmat"}
{"subject": "math:arxiv_150859", "predicate": "proves", "object": "we give a classification of @xmath0-regular and non - degenerate projectively anosov flows on three "}
{"subject": "math:arxiv_150861", "predicate": "proves", "object": "in this paper , @xcite s available potential energy ( ape ) framework is extended to the fully compr"}
{"subject": "math:arxiv_150897", "predicate": "proves", "object": "by studying a tachyon field on the dgp brane model , in order to embed the @xmath0 standard friedman"}
{"subject": "math:arxiv_150903", "predicate": "proves", "object": "we present a simple transformation of the formulation of the log - periodic power law formula of the"}
{"subject": "math:arxiv_150908", "predicate": "proves", "object": "this paper is aimed at extending the @xmath0 bounded real lemma to stochastic systems under random d"}
{"subject": "math:arxiv_150909", "predicate": "proves", "object": "we use a model based on the fractional langevin equation with external noise to describe the anomalo"}
{"subject": "math:arxiv_150910", "predicate": "proves", "object": "simulation results of the thermal conductivity @xmath0 of dissipative particle dynamics model with e"}
{"subject": "math:arxiv_150914", "predicate": "proves", "object": "we study the parabolic anderson model in @xmath0 dimensions with nearest neighbor jumps and space  t"}
{"subject": "math:arxiv_150915", "predicate": "proves", "object": "properties pertaining to thermodynamical local stability of surrounded by as well as adiabatic invar"}
{"subject": "math:arxiv_150918", "predicate": "proves", "object": "we prove and organize some results on the normal forms of hermitian operators composed with the vero"}
{"subject": "math:arxiv_150929", "predicate": "proves", "object": "we point out that the free single - fermion propagator which is used in the qft equations for two - "}
{"subject": "math:arxiv_150938", "predicate": "proves", "object": "in a recent letter , new representations were proposed for the pair of sequences ( @xmath0 ) , as de"}
{"subject": "math:arxiv_150949", "predicate": "proves", "object": "in the light - front milieu , there is an implicit assumption that the vacuum is trivial . by this  "}
{"subject": "math:arxiv_150962", "predicate": "proves", "object": "we present analytic solutions to the spatially homogeneous axion field equation , using a model pote"}
{"subject": "math:arxiv_150964", "predicate": "proves", "object": "investigating five - dimensional schwarzschild - tangherlini - ads black hole , we construct a ( 6 +"}
{"subject": "math:arxiv_150966", "predicate": "proves", "object": "we discuss simple vacuum solutions to the einstein equations in five dimensional space - times compa"}
{"subject": "math:arxiv_150975", "predicate": "proves", "object": "we study brane inflation scenarios in a warped throat geometry and show that there exists a consiste"}
{"subject": "math:arxiv_150979", "predicate": "proves", "object": "we consider a source coding problem with a network scenario in mind , and formulate it as a remote v"}
{"subject": "math:arxiv_150985", "predicate": "proves", "object": "we present a new and shorter proof of stocking s result that any strongly irreducible heegaard surfa"}
{"subject": "math:arxiv_150990", "predicate": "proves", "object": "we solve the boltzmann equation for cosmological neutrinos around the epoch of the electron - positr"}
{"subject": "math:arxiv_150991", "predicate": "proves", "object": "the dynamics of a two - component dilute bose gas of atoms at zero temperature is described in the m"}
{"subject": "math:arxiv_151006", "predicate": "proves", "object": "the security proof of continuous variable ( cv ) measurement device independent ( mdi ) quantum key "}
{"subject": "math:arxiv_151029", "predicate": "proves", "object": "we investigate the behaviour of quantum fields coupled to a spacetime geometry exhibiting finite reg"}
{"subject": "math:arxiv_151054", "predicate": "proves", "object": "using kadeishvili s @xcite formulas with appropriate signs , we show that the classical cobar constr"}
{"subject": "math:arxiv_151061", "predicate": "proves", "object": "according to the erds - szekeres theorem , for every @xmath0 , a sufficiently large set of points in"}
{"subject": "math:arxiv_151063", "predicate": "proves", "object": "analytical solutions to the time - dependent shrdinger equation in one dimension are developed for t"}
{"subject": "math:arxiv_151064", "predicate": "proves", "object": "we verify a conjecture of nowakowski and ottaway that closed @xmath0 dots - and - triangles is a fir"}
{"subject": "math:arxiv_151065", "predicate": "proves", "object": "a rigorous derivation is provided for canonical correlations and partial canonical correlations for "}
{"subject": "math:arxiv_151066", "predicate": "proves", "object": "the lectures are centered around three selected topics of quantum chaos : the selberg trace formula "}
{"subject": "math:arxiv_151082", "predicate": "proves", "object": "we present the latest version 6.0 of the _ quantified boolean formula ( qbf ) _ solver , which is ba"}
{"subject": "math:arxiv_151087", "predicate": "proves", "object": "a generalized lens equation for weak gravitational fields in schwarzschild metric and valid for fini"}
{"subject": "math:arxiv_151100", "predicate": "proves", "object": "the hot , puffed up , post - shock region of an advective disc is the source of high energy photons "}
{"subject": "math:arxiv_151132", "predicate": "proves", "object": "we derive a theory for 3d dirac fermions confined in a cylindrical nanowire . \n the system is descri"}
{"subject": "math:arxiv_151138", "predicate": "proves", "object": "the rigorous approach aimed at providing exact analytical results for hybrid classical \n quantum mod"}
{"subject": "math:arxiv_151142", "predicate": "proves", "object": "we present a definition of an invariant @xmath0 , defined for every finite - dimensional hopf algebr"}
{"subject": "math:arxiv_151162", "predicate": "proves", "object": "we study landau - zener transitions in a qubit coupled to a bath at zero temperature . \n a general f"}
{"subject": "math:arxiv_151166", "predicate": "proves", "object": "linear stability of multi - vector - soliton bound states in the coupled nonlinear schrdinger equati"}
{"subject": "math:arxiv_151168", "predicate": "proves", "object": "dynamics near the grazing manifold and basins of attraction for a motion of a material point in a gr"}
{"subject": "math:arxiv_151174", "predicate": "proves", "object": "higher order correlation measurements involve multiple event averages which must run over unequal ev"}
{"subject": "math:arxiv_151193", "predicate": "proves", "object": "we consider some reduction from nonlinear vlasov - maxwell equation to rms / rate equations for seco"}
{"subject": "math:arxiv_151197", "predicate": "proves", "object": "we use equations for faddeev amplitudes to solve the shell - model problem for four nucleons in the "}
{"subject": "math:arxiv_151200", "predicate": "proves", "object": "we construct a distance on the moduli space of symplectic toric manifolds of dimension four . \n then"}
{"subject": "math:arxiv_151202", "predicate": "proves", "object": "nonlinear schrdinger equations and corresponding quantum hydrodynamic ( qhd ) equations are widely u"}
{"subject": "math:arxiv_151210", "predicate": "proves", "object": "we study the coarsening of two - dimensional oblique stripe patterns by numerically solving potentia"}
{"subject": "math:arxiv_151220", "predicate": "proves", "object": "we explicitly determine the symplectic structure on the phase space of chern - simons theory with ga"}
{"subject": "math:arxiv_151230", "predicate": "proves", "object": "currents in a metallic ring with a quantum dot are studied in the framework of a langevin equation f"}
{"subject": "math:arxiv_151231", "predicate": "proves", "object": "under a suitable notion of equivalence of integral densities we prove a @xmath0-closure theorem for "}
{"subject": "math:arxiv_151235", "predicate": "proves", "object": "the north - south asymmetry of solar activity is variable in time and strength . \n we analyse the lo"}
{"subject": "math:arxiv_151237", "predicate": "proves", "object": "subdiffusive behavior of one - dimensional stochastic systems can be described by time - subordinate"}
{"subject": "math:arxiv_151240", "predicate": "proves", "object": "we derive a general formula of the minimum achievable rate for fixed - to - variable length coding w"}
{"subject": "math:arxiv_151248", "predicate": "proves", "object": "we consider the moran process with two populations competing under an iterated prisoners dilemma in "}
{"subject": "math:arxiv_151266", "predicate": "proves", "object": "a thermodynamically consistent framework able to model either diffusive and displacive phase transit"}
{"subject": "math:arxiv_151279", "predicate": "proves", "object": "we prove that the leech lattice is the unique densest lattice in @xmath0 . \n the proof combines huma"}
{"subject": "math:arxiv_151290", "predicate": "proves", "object": "we find the conditions under which a quantum regression theorem can be assumed valid for non - marko"}
{"subject": "math:arxiv_151306", "predicate": "proves", "object": "rigged configurations are known to provide action - angle variables for remarkable discrete dynamica"}
{"subject": "math:arxiv_151314", "predicate": "proves", "object": "we present a theoretical study of the statics and dynamics of a partially wetting liquid droplet , o"}
{"subject": "math:arxiv_151326", "predicate": "proves", "object": "we prove that if @xmath0 is a log - log blow - up solution , of the type studied by merle - raphal @"}
{"subject": "math:arxiv_151329", "predicate": "proves", "object": "the motion of a spheroid in a viscous incompressible fluid after a sudden small impulse in the direc"}
{"subject": "math:arxiv_151339", "predicate": "proves", "object": "the time evolution of the strength of the earth s virtual axial dipole moment ( vadm ) is analyzed b"}
{"subject": "math:arxiv_151348", "predicate": "proves", "object": "the observational effect of all minimally coupled scalar field models of dark energy can be determin"}
{"subject": "math:arxiv_151349", "predicate": "proves", "object": "we study the force between two circular electrodes in different configurations . \n a formula analogo"}
{"subject": "math:arxiv_151372", "predicate": "proves", "object": "we study the image reconstruction problem of a compton camera which consists of semiconductor detect"}
{"subject": "math:arxiv_151378", "predicate": "proves", "object": "we construct the effective action and gap equations for nonperturbative fermion 4-point functions . "}
{"subject": "math:arxiv_151381", "predicate": "proves", "object": "the diffusion approximation to the fokker - planck equation is commonly used to model the transport "}
{"subject": "math:arxiv_151404", "predicate": "proves", "object": "from an up - to - date compilation of aco cluster redshifts and velocity dispersions we extract a ho"}
{"subject": "math:arxiv_151420", "predicate": "proves", "object": "cadabra is a powerful computer program for the manipulation of tensor equations . \n it was designed "}
{"subject": "math:arxiv_151423", "predicate": "proves", "object": "we extend a recent result on the existence of wandering domains of polynomial functions defined over"}
{"subject": "math:arxiv_151444", "predicate": "proves", "object": "we model the spectral energy distribution of the type 1 seyfert galaxy ngc 5548 , fitting data from "}
{"subject": "math:arxiv_151455", "predicate": "proves", "object": "linear multistep methods ( lmms ) applied to approximate the solution of initial value problems  typ"}
{"subject": "math:arxiv_151458", "predicate": "proves", "object": "we examine geometry and dynamics of classical spacetime derived from entanglement spectrum . the spa"}
{"subject": "math:arxiv_151461", "predicate": "proves", "object": "the recently formulated retarded gravitation theory ( rgt ) explains the non - newtonian velocities "}
{"subject": "math:arxiv_151465", "predicate": "proves", "object": "a model for studying atomtronic devices and circuits based on finite temperature bose - condensed ga"}
{"subject": "math:arxiv_151475", "predicate": "proves", "object": "we describe a certain  self - similar \" family of solutions to the free schrdinger equation in all d"}
{"subject": "math:arxiv_151480", "predicate": "proves", "object": "we present a purely algebraic formulation ( i.e. polynomial equations only ) of the minimum - cost m"}
{"subject": "math:arxiv_151532", "predicate": "proves", "object": "we investigate two paradigms for studying the evolution of cooperation \n prisoner s dilemma and snow"}
{"subject": "math:arxiv_151535", "predicate": "proves", "object": "let @xmath0 be a compact complex manifold , @xmath1 be the bounded derived category of constructible"}
{"subject": "math:arxiv_151548", "predicate": "proves", "object": "in this paper we show that for a given @xmath0-manifold and a given heegaard splitting there are fin"}
{"subject": "math:arxiv_151559", "predicate": "proves", "object": "a cyclic trigonal curve of genus three is a @xmath0 galois cover of @xmath1 , therefore can be writt"}
{"subject": "math:arxiv_151561", "predicate": "proves", "object": "landauer s formula relates the conductance of a quantum wire or interface to transmission probabilit"}
{"subject": "math:arxiv_151565", "predicate": "proves", "object": "a method for the identification of small inhomogeneities from a surface data is presented in the fra"}
{"subject": "math:arxiv_151574", "predicate": "proves", "object": "in these lectures we present five interpretations of the fa di bruno formula which computes the @xma"}
{"subject": "math:arxiv_151587", "predicate": "proves", "object": "we study the frobenius - lusztig kernel for quantum affine algebras at root of unity of small orders"}
{"subject": "math:arxiv_151588", "predicate": "proves", "object": "we introduce a new technique for proving the classical stable manifold theorem for hyperbolic fixed "}
{"subject": "math:arxiv_151620", "predicate": "proves", "object": "we present a detailed analysis of the fluctuation dissipation theorem ( fdt ) close to the glass tra"}
{"subject": "math:arxiv_151621", "predicate": "proves", "object": "in the present work the evolution of a coherent field structure of the sine - gordon equation under "}
{"subject": "math:arxiv_151623", "predicate": "proves", "object": "given a closed manifold @xmath0 and a self - indexing morse function @xmath1 with up to four distinc"}
{"subject": "math:arxiv_151624", "predicate": "proves", "object": "we study a particle model for a simple system of partial differential equations describing , in dime"}
{"subject": "math:arxiv_151627", "predicate": "proves", "object": "we find that a symbolic walk  performed by a walker with memory given by a bernoulli shift  is able "}
{"subject": "math:arxiv_151652", "predicate": "proves", "object": "in a recent preprint ( arxiv:1211.4285v1 ) @xcite we addressed the problem of constructing reduced m"}
{"subject": "math:arxiv_151675", "predicate": "proves", "object": "the macwilliams extension theorem states that each linear isometry of a linear code extends to a mon"}
{"subject": "math:arxiv_151676", "predicate": "proves", "object": "we develop an action principle to construct the field equations for a multi - fluid system containin"}
{"subject": "math:arxiv_151687", "predicate": "proves", "object": "we solve einstein s field equations coupled to relativistic hydrodynamics in full 3 + 1 general rela"}
{"subject": "math:arxiv_151704", "predicate": "proves", "object": "we introduce an algebra @xmath0 $ ] associated to a pair @xmath1 of a virtual birack @xmath2 and @xm"}
{"subject": "math:arxiv_151749", "predicate": "proves", "object": "by using of the euler - lagrange equations , we find a static spherically symmetric solution in the "}
{"subject": "math:arxiv_151756", "predicate": "proves", "object": "we study the existence of automatic presentations for various algebraic structures . \n an automatic "}
{"subject": "math:arxiv_151784", "predicate": "proves", "object": "broyden s method , widely used in quantum chemistry electronic - structure calculations for the nume"}
{"subject": "math:arxiv_151805", "predicate": "proves", "object": "we propose a one - dimensional model consisting of a chain with a t - j hamiltonian coupled to a hei"}
{"subject": "math:arxiv_151820", "predicate": "proves", "object": "we study rational homology groups of one - point compactifications of spaces of complex monic polyno"}
{"subject": "math:arxiv_151823", "predicate": "proves", "object": "in commonly used formulations of the boussinesq approximation centrifugal buoyancy effects related t"}
{"subject": "math:arxiv_151859", "predicate": "proves", "object": "according to a theorem of poincar , the solutions to differential equations are analytic functions o"}
{"subject": "math:arxiv_151871", "predicate": "proves", "object": "we survey recent work of burghelea , malta and both authors on the topology of critical sets of nonl"}
{"subject": "math:arxiv_151888", "predicate": "proves", "object": "this paper proposes a generalization of the conjugate gradient ( cg ) method used to solve the equat"}
{"subject": "math:arxiv_151891", "predicate": "proves", "object": "newton s `` superb theorem '' for the gravitational @xmath0 force states that a spherically symmetri"}
{"subject": "math:arxiv_151918", "predicate": "proves", "object": "in this paper , we give two classes of positive semi - definite metrics on 2-manifolds . \n the one i"}
{"subject": "math:arxiv_151930", "predicate": "proves", "object": "recently , a simple proof of the hook length formula was given via the branching rule . in this pape"}
{"subject": "math:arxiv_151940", "predicate": "proves", "object": "the quantum mechanics of a point particle on a noncommutative plane in a magnetic field is implement"}
{"subject": "math:arxiv_151957", "predicate": "proves", "object": "an inverse problem of the determination of an initial condition in a hyperbolic equation from the la"}
{"subject": "math:arxiv_151960", "predicate": "proves", "object": "using the data schemes from  @xcite we give a rigorous definition of algebraic differential equation"}
{"subject": "math:arxiv_151981", "predicate": "proves", "object": "we study the electronic transport through a double quantum dot molecule attached to leads , and exam"}
{"subject": "math:arxiv_151985", "predicate": "proves", "object": "our aim in this paper is to establish some strong stability properties of a  solution of a stochasti"}
{"subject": "math:arxiv_151994", "predicate": "proves", "object": "the analysis of nonlinear wave equations has experienced a dramatic growth in the last ten years or "}
{"subject": "math:arxiv_151997", "predicate": "proves", "object": "we consider the adsorption of a semiflexible polymer chain onto interfaces and surfaces by using the"}
{"subject": "math:arxiv_151999", "predicate": "proves", "object": "a counting formula for computing the number of ( majorana ) zero modes bound to topological point de"}
{"subject": "math:arxiv_152002", "predicate": "proves", "object": "we present a theoretical study of transient absorption and reshaping of extreme ultraviolet ( xuv ) "}
{"subject": "math:arxiv_152012", "predicate": "proves", "object": "projective measurement is used as a fundamental axiom in quantum mechanics , even though it is disco"}
{"subject": "math:arxiv_152019", "predicate": "proves", "object": "let @xmath0 be the family of two bridge knots of slope @xmath1 . \n we calculate the volumes of the @"}
{"subject": "math:arxiv_152021", "predicate": "proves", "object": "we give a short introduction to the subject of representation growth and representation zeta functio"}
{"subject": "math:arxiv_152023", "predicate": "proves", "object": "we derive the fluctuating hydrodynamic equation for the number and momentum densities exactly from t"}
{"subject": "math:arxiv_152025", "predicate": "proves", "object": "we discuss a computational mechanism for the generation of a stationary dark soliton , or black soli"}
{"subject": "math:arxiv_152028", "predicate": "proves", "object": "we study the observable pulse profiles that can be generated from precessing pulsars . \n a novel coo"}
{"subject": "math:arxiv_152034", "predicate": "proves", "object": "let @xmath0 be the lie algebra of smooth vector fields on @xmath1 . \n the space of symbols @xmath2 a"}
{"subject": "math:arxiv_152036", "predicate": "proves", "object": "riemannian geometry , topology and dynamics permit to introduce partially defined holomorphic functi"}
{"subject": "math:arxiv_152037", "predicate": "proves", "object": "enumeration of all combinatorial types of point configurations and polytopes is a fundamental proble"}
{"subject": "math:arxiv_152040", "predicate": "proves", "object": "we find the minimum dilatation of pseudo - anosov braids on @xmath0-punctured discs for  @xmath1 . \n"}
{"subject": "math:arxiv_152041", "predicate": "proves", "object": "convex geometries are closure systems satisfying the anti - exchange axiom . \n every finite convex g"}
{"subject": "math:arxiv_152047", "predicate": "proves", "object": "the cross - entropy method @xcite is a simple but efficient method for global optimization . in this"}
{"subject": "math:arxiv_152057", "predicate": "proves", "object": "for a general evolution equation with a silnikov homoclinic orbit , smale horseshoes are constructed"}
{"subject": "math:arxiv_152078", "predicate": "proves", "object": "we present a computer assisted method for generating existence proofs and a posteriori error bounds "}
{"subject": "math:arxiv_152096", "predicate": "proves", "object": "let the symmetric group @xmath0 act on the polynomial ring @xmath1 = { { \\mathbb { q}}}[x_1 , \\dots "}
{"subject": "math:arxiv_152098", "predicate": "proves", "object": "the dirac - frenkel time - dependent variational approach with davydov _ anstze _ is a sophisticated"}
{"subject": "math:arxiv_152103", "predicate": "proves", "object": "let @xmath0 be a non - singular algebraic curve of genus @xmath1 . \n we prove that the brill - noeth"}
{"subject": "math:arxiv_152127", "predicate": "proves", "object": "we have studied dynamical properties and quantum tunneling in asymmetric double - well ( dw ) system"}
{"subject": "math:arxiv_152136", "predicate": "proves", "object": "we prove the makeenko \n migdal equation for two - dimensional euclidean yang \n mills theory on an ar"}
{"subject": "math:arxiv_152140", "predicate": "proves", "object": "the explicit quasi - monotonic conservative tvd scheme and numerical method for the solution of the "}
{"subject": "math:arxiv_152143", "predicate": "proves", "object": "we study the gravitational corrections to the f - term in four - dimensional @xmath0 @xmath1 gauge t"}
{"subject": "math:arxiv_152144", "predicate": "proves", "object": "we study an invariant of a @xmath0-manifold which consists of reidemeister torsion for linear repres"}
{"subject": "math:arxiv_152149", "predicate": "proves", "object": "for any finite simple graph @xmath0 , the discrete dirac operator @xmath1 and the laplace - beltrami"}
{"subject": "math:arxiv_152182", "predicate": "proves", "object": "we study the local scaling properties of driven interfaces in disordered media modeled by the edward"}
{"subject": "math:arxiv_152189", "predicate": "proves", "object": "in the present paper we study the equation of state of strange matter build of the u , d , s quarks "}
{"subject": "math:arxiv_152215", "predicate": "proves", "object": "we have studied the thermal conductivity of confined superfluids on a bar - like geometry . \n we use"}
{"subject": "math:arxiv_152243", "predicate": "proves", "object": "it is demonstrated that the set of 40 states of a spin-3/2 particle used by zimba and penrose to giv"}
{"subject": "math:arxiv_152250", "predicate": "proves", "object": "dark energy with the usually used equation of state @xmath0 , where @xmath1 is hydrodynamically unst"}
{"subject": "math:arxiv_152254", "predicate": "proves", "object": "the operad lie can be constructed as the operad of primitives prim@xmath0 from the operad @xmath0 of"}
{"subject": "math:arxiv_152261", "predicate": "proves", "object": "we prove the neo - classical inequality with the optimal constant , which was conjectured by t.  j. "}
{"subject": "math:arxiv_152273", "predicate": "proves", "object": "we give an elementary derivation of the montgomery phase formula for the motion of an euler top , us"}
{"subject": "math:arxiv_152275", "predicate": "proves", "object": "background : :    extensions of single - reference ( sr ) energy - density - functionals ( edfs )   "}
{"subject": "math:arxiv_152303", "predicate": "proves", "object": "we present a general framework for constructing singular solutions of nonlinear evolution equations "}
{"subject": "math:arxiv_152312", "predicate": "proves", "object": "we give a survey of algorithms for computing topological invariants of semi - algebraic sets with sp"}
{"subject": "math:arxiv_152314", "predicate": "proves", "object": "multi - material structural topology and shape optimization problems are formulated within a phase f"}
{"subject": "math:arxiv_152324", "predicate": "proves", "object": "a kinetic theory for quantum langmuir waves interacting nonlinearly with quantum ion - acoustic wave"}
{"subject": "math:arxiv_152328", "predicate": "proves", "object": "the quantum jump approach , where pairs of state vectors follow stochastic schroedinger equation ( s"}
{"subject": "math:arxiv_152335", "predicate": "proves", "object": "we derive a decoupling formula for the brownian sheet which has the following ready consequence : an"}
{"subject": "math:arxiv_152343", "predicate": "proves", "object": "we study the properties of non - rotating and rotating neutron stars for a new set of equations of s"}
{"subject": "math:arxiv_152347", "predicate": "proves", "object": "we introduce a variant of maskin - monotonicity that completely characterizes the class of pairwise "}
{"subject": "math:arxiv_152355", "predicate": "proves", "object": "we consider the question of how approximations satisfying dirichlet s theorem spiral around vectors "}
{"subject": "math:arxiv_152357", "predicate": "proves", "object": ".2 in we propose a new evolution equation for the gluon density relevant for the region of small @xm"}
{"subject": "math:arxiv_152366", "predicate": "proves", "object": "we give four positive formulae for the ( equioriented type  @xmath0 ) quiver polynomials of buch and"}
{"subject": "math:arxiv_152369", "predicate": "proves", "object": "we consider conditional transition systems , that allow to model software product lines with upgrade"}
{"subject": "math:arxiv_152381", "predicate": "proves", "object": "1@xmath0 part : * assorted questions*.    * time as a parameter in quantum mechanics . * no - go the"}
{"subject": "math:arxiv_152382", "predicate": "proves", "object": "the problem of calculating the period of second order nonlinear autonomous oscillators is formulated"}
{"subject": "math:arxiv_152402", "predicate": "proves", "object": "this paper presents a simple model that mimics quantum mechanics ( qm ) results in terms of probabil"}
{"subject": "math:arxiv_152417", "predicate": "proves", "object": "a new resummation scheme in scalar field theories is proposed by combining parquet resummation techn"}
{"subject": "math:arxiv_152441", "predicate": "proves", "object": "we study the uniqueness , existence , and properties of bounded distributional solutions of the init"}
{"subject": "math:arxiv_152442", "predicate": "proves", "object": "we show that golod - shafarevich algebras can be homomorphically mapped onto infinite dimensional al"}
{"subject": "math:arxiv_152448", "predicate": "proves", "object": "we propose and analyse a fully - discrete discontinuous galerkin time - stepping method for paraboli"}
{"subject": "math:arxiv_152451", "predicate": "proves", "object": "perturbative expansion in the nonperturbative confining qcd background is formulated . \n the properl"}
{"subject": "math:arxiv_152459", "predicate": "proves", "object": "the micromagnetic fokker - planck equation is solved for a uniaxial particle in the low - temperatur"}
{"subject": "math:arxiv_152465", "predicate": "proves", "object": "it is shown that some well - known and some new cyclic codes with orthogonal parity - check equation"}
{"subject": "math:arxiv_152469", "predicate": "proves", "object": "the kochen - specker ( ks ) theorem is a central result in quantum theory and has applications in qu"}
{"subject": "math:arxiv_152476", "predicate": "proves", "object": "we introduce a @xmath0-enumeration of dyck paths which are forced to touch the main diagonal at spec"}
{"subject": "math:arxiv_152484", "predicate": "proves", "object": "the phase  portrait of the second order differential equation : @xmath0 is studied . some results co"}
{"subject": "math:arxiv_152494", "predicate": "proves", "object": "far as we know there are not exact solutions to the equation of motion for a relativistic harmonic o"}
{"subject": "math:arxiv_152496", "predicate": "proves", "object": "this is the first in a series of papers in which the gradient flows of fundamental curvature invaria"}
{"subject": "math:arxiv_152498", "predicate": "proves", "object": "in this paper , we show that an aspherical compact graph manifold is nonpositively curved if and onl"}
{"subject": "math:arxiv_152502", "predicate": "proves", "object": "we consider the degenerate equation @xmath0 on the unit interval @xmath1 , in the strongly degenerat"}
{"subject": "math:arxiv_152514", "predicate": "proves", "object": "in this work we study the applicability of the equivalence theorem , either for unitary models or wi"}
{"subject": "math:arxiv_152515", "predicate": "proves", "object": "we show that it is impossible to determine the state equation of quintessence models on the basis of"}
{"subject": "math:arxiv_152520", "predicate": "proves", "object": "the kdv equation can be derived in the shallow water limit of the euler equations . over the last fe"}
{"subject": "math:arxiv_152522", "predicate": "proves", "object": "in this paper a ( 2 + 1)-dimensional model with four - fermion interactions is investigated in the c"}
{"subject": "math:arxiv_152527", "predicate": "proves", "object": "we classify dehn surgeries on @xmath0 pretzel knots resulting in a manifold @xmath1 having cyclic fu"}
{"subject": "math:arxiv_152533", "predicate": "proves", "object": "' '' ''    * a theorem is proved which states that no classical key generating protocol could ever b"}
{"subject": "math:arxiv_152544", "predicate": "proves", "object": "cgpg-93/10 - 1 + gr - qc/9310025 + october 18th 1993 +    we show that the exponential of the gauss "}
{"subject": "math:arxiv_152554", "predicate": "proves", "object": "new deformed affine algebras @xmath0are defined for any simply - laced classical lie algebra @xmath1"}
{"subject": "math:arxiv_152555", "predicate": "proves", "object": "we consider the iso - spectral _ real _ manifolds of tridiagonal hessenberg matrices with real eigen"}
{"subject": "math:arxiv_152563", "predicate": "proves", "object": "until now , the only known maximal surfaces in minkowski @xmath0-space of finite topology with compa"}
{"subject": "math:arxiv_152575", "predicate": "proves", "object": "one of the first studies of mast upgrade divertor configurations with solps5.0 are presented . \n we "}
{"subject": "math:arxiv_152582", "predicate": "proves", "object": "in this paper the problem of construction of lattice optimal interpolation formulas in the space @xm"}
{"subject": "math:arxiv_152597", "predicate": "proves", "object": "we show how the linear  low - density theorem \" of drukarev and levin can be extended to arbitrary p"}
{"subject": "math:arxiv_152600", "predicate": "proves", "object": "we analyze the role of final state interactions ( fsi ) in decay of the lighest exotic meson , with "}
{"subject": "math:arxiv_152617", "predicate": "proves", "object": "we consider the spin-1/2 antiferromagnetic heisenberg model on the two - dimensional square - kagome"}
{"subject": "math:arxiv_152627", "predicate": "proves", "object": "we consider the propagation of galactic cosmic rays in the fractal interstellar medium . \n steady st"}
{"subject": "math:arxiv_152631", "predicate": "proves", "object": "we review the path realization of demazure crystals and discuss demazure characters in the light of "}
{"subject": "math:arxiv_152640", "predicate": "proves", "object": "we introduce a version of discrete morse theory specific for manifolds with boundary . \n the idea is"}
{"subject": "math:arxiv_152643", "predicate": "proves", "object": "i conjecture that the time modulated decay rates reported in single ion measurements of two body ele"}
{"subject": "math:arxiv_152646", "predicate": "proves", "object": "a new version is proposed for the universal empirical formula , epax , which describes fragmentation"}
{"subject": "math:arxiv_152667", "predicate": "proves", "object": "fractal geometry of random curves appearing in the scaling limit of critical two - dimensional stati"}
{"subject": "math:arxiv_152675", "predicate": "proves", "object": "as an application of behrens and rezk s spectral algebra model for unstable @xmath0-periodic homotop"}
{"subject": "math:arxiv_152701", "predicate": "proves", "object": "we present a mesoscopic approach to analyze the dynamics of a single magnetic dipole under the influ"}
{"subject": "math:arxiv_152714", "predicate": "proves", "object": "the parabolic anderson model is the cauchy problem for the heat equation on the integer lattice with"}
{"subject": "math:arxiv_152724", "predicate": "proves", "object": "in terms of the stochastic process of quantum - mechanical version of markov chain monte carlo metho"}
{"subject": "math:arxiv_152748", "predicate": "proves", "object": "in this paper , on the basis of the set of simplified model state equations to represent the dynamic"}
{"subject": "math:arxiv_152751", "predicate": "proves", "object": "we describe a numerical code that solves einstein s equations for a schwarzschild black hole in sphe"}
{"subject": "math:arxiv_152759", "predicate": "proves", "object": "a linearized backward euler galerkin - mixed finite element method is investigated for the time - de"}
{"subject": "math:arxiv_152760", "predicate": "proves", "object": "in 1988 fellows conjectured that if a finite , connected graph admits a finite planar emulator , the"}
{"subject": "math:arxiv_152774", "predicate": "proves", "object": "double field theory ( dft ) offers a manifest t - duality formulation for massless closed string fie"}
{"subject": "math:arxiv_152775", "predicate": "proves", "object": "we derive a self - similar description for the 2d streamline topology and flow structure of an axi -"}
{"subject": "math:arxiv_152780", "predicate": "proves", "object": "for the fermion field in the two - dimensional gross  neveu model , we introduce a flow equation tha"}
{"subject": "math:arxiv_152800", "predicate": "proves", "object": "we investigate the gravitational lensing properties of dark matter halos with burkert profiles . \n w"}
{"subject": "math:arxiv_152812", "predicate": "proves", "object": "in dynamical systems with distinct time scales the time evolution in phase space may be influenced s"}
{"subject": "math:arxiv_152821", "predicate": "proves", "object": "this short paper should serve as basis for further analysis of a previously found new symmetry of th"}
{"subject": "math:arxiv_152832", "predicate": "proves", "object": "we consider surface area approximations by lagrange and crouzeix  raviart interpolations on triangul"}
{"subject": "math:arxiv_152834", "predicate": "proves", "object": "we reconsider the homogeneous faddeev - merkuriev integral equations for three - body coulombic syst"}
{"subject": "math:arxiv_152866", "predicate": "proves", "object": "we present a systematic derivation of a model based on the central moment lattice boltzmann equation"}
{"subject": "math:arxiv_152875", "predicate": "proves", "object": "dimensional analysis , and in particular the buckingham @xmath0 theorem is widely used in fluid mech"}
{"subject": "math:arxiv_152878", "predicate": "proves", "object": "* abstract * +   the horton - strahler ordering method , originating in hydrology , formulates the h"}
{"subject": "math:arxiv_152883", "predicate": "proves", "object": "spectral formation in steady state , spherical accretion onto neutron stars and black holes is exami"}
{"subject": "math:arxiv_152889", "predicate": "proves", "object": "we study supersymmetric black holes in @xmath0 in the framework of four dimensional gauged @xmath1 s"}
{"subject": "math:arxiv_152907", "predicate": "proves", "object": "we present a derivation of the stress field for an interacting quantum system within the framework o"}
{"subject": "math:arxiv_152917", "predicate": "proves", "object": "we formulate a kalman - style realization theory for discrete - time affine lpv systems . by an affi"}
{"subject": "math:arxiv_152921", "predicate": "proves", "object": "we investigate spherically symmetric equilibrium states of the vlasov - poisson system , relevant in"}
{"subject": "math:arxiv_152938", "predicate": "proves", "object": "we construct a new scheme of approximation of any multivalued algebraic function @xmath0 by a sequen"}
{"subject": "math:arxiv_152949", "predicate": "proves", "object": "we investigate a top - down approach for modeling the dark energy where we fit the luminosity distan"}
{"subject": "math:arxiv_152961", "predicate": "proves", "object": "we study @xmath0 estimates for restricted averaging operators related to algebraic varieties @xmath1"}
{"subject": "math:arxiv_152977", "predicate": "proves", "object": "we construct expanding endomorphisms on smooth manifolds that are homeomorphic to tori yet have exot"}
{"subject": "math:arxiv_152984", "predicate": "proves", "object": "the buridan s ass paradox is characterized by perpetual indecision between two states , which are ne"}
{"subject": "math:arxiv_153012", "predicate": "proves", "object": "a partial differential equation is derived , describing the replicator dynamics with mutations of ga"}
{"subject": "math:arxiv_153025", "predicate": "proves", "object": "we present a purely planar algebraic proof of the main result of a paper of guionnet - jones - shlay"}
{"subject": "math:arxiv_153026", "predicate": "proves", "object": "an algebraic theory of dualities is developed based on the notion of bond algebras . \n it deals with"}
{"subject": "math:arxiv_153036", "predicate": "proves", "object": "in this paper we prove that on a smooth algebraic variety the hkr - morphism twisted by the square r"}
{"subject": "math:arxiv_153079", "predicate": "proves", "object": "we introduce the stack @xmath0 of @xmath1-spin maps . these are stable maps into a variety @xmath2 f"}
{"subject": "math:arxiv_153090", "predicate": "proves", "object": "the response of the nonlinear shallow water equations ( swe ) on a sphere to tropical vorticity forc"}
{"subject": "math:arxiv_153093", "predicate": "proves", "object": "the time evolution equations for average values of population and relative phase of a strongly coupl"}
{"subject": "math:arxiv_153095", "predicate": "proves", "object": "we show that the edge - clique graphs of cocktail party graphs have unbounded rankwidth . \n this , a"}
{"subject": "math:arxiv_153115", "predicate": "proves", "object": "we review the status of recent investigations on validating the gauge - gravity duality conjecture t"}
{"subject": "math:arxiv_153125", "predicate": "proves", "object": "we review the latest attempts to determine the accretion geometry in radio - loud active galactic nu"}
{"subject": "math:arxiv_153134", "predicate": "proves", "object": "we experimentally investigate the response of a sheared granular medium in a couette geometry . \n th"}
{"subject": "math:arxiv_153155", "predicate": "proves", "object": "this is a written version of a talk given at the fifth friedmann seminar on recent work in observati"}
{"subject": "math:arxiv_153158", "predicate": "proves", "object": "we study in this paper logarithmic derivatives associated to derivations on graded complete lie alge"}
{"subject": "math:arxiv_153185", "predicate": "proves", "object": "this survey / expository article covers a variety of topics related to the topology at infinity  of "}
{"subject": "math:arxiv_153193", "predicate": "proves", "object": "given a category @xmath0 of a combinatorial nature , we study the following fundamental question : h"}
{"subject": "math:arxiv_153201", "predicate": "proves", "object": "we present high - order compact schemes for a linear second - order parabolic partial differential e"}
{"subject": "math:arxiv_153223", "predicate": "proves", "object": "the algebraic geometric approach to @xmath0-component systems of nonlinear integrable pde s is used "}
{"subject": "math:arxiv_153242", "predicate": "proves", "object": "we discuss entanglement evolution of a multi - qubit system when one of its qubits is subjected to a"}
{"subject": "math:arxiv_153247", "predicate": "proves", "object": "we extend a result of the second author ( * ? ? ? \n * theorem 1.1 ) to dimensions @xmath0 which rela"}
{"subject": "math:arxiv_153250", "predicate": "proves", "object": "a nonlinear wightman field is taken to be a nonlinear map from a linear space of test functions to a"}
{"subject": "math:arxiv_153257", "predicate": "proves", "object": "we present an overview of the differential geometry of curves and surfaces using examples from soft "}
{"subject": "math:arxiv_153261", "predicate": "proves", "object": "we study the problem of recovering the initial data of the two dimensional wave equation from values"}
{"subject": "math:arxiv_153272", "predicate": "proves", "object": "we develop a new approach to gravitational waves in which the einstein equations are governed by the"}
{"subject": "math:arxiv_153276", "predicate": "proves", "object": "in dolera , gabetta and regazzini [ _ ann . \n appl . probab . _ \n * 19 * ( 2009 ) 186201 ] it is pro"}
{"subject": "math:arxiv_153284", "predicate": "proves", "object": "we examine the effectiveness of assuming an equal probability for states far from equilibrium . for "}
{"subject": "math:arxiv_153293", "predicate": "proves", "object": "we consider interactions of fermions with the domain wall bubbles produced during a first order phas"}
{"subject": "math:arxiv_153318", "predicate": "proves", "object": "quantum supermaps are higher - order maps transforming quantum operations into quantum operations . "}
{"subject": "math:arxiv_153326", "predicate": "proves", "object": "different types of lifshitz transitions are governed by topology in momentum space . \n they involve "}
{"subject": "math:arxiv_153337", "predicate": "proves", "object": "we derive the virial theorem appropriate to two - dimensional point vortices at statistical equilibr"}
{"subject": "math:arxiv_153346", "predicate": "proves", "object": "we proved the existence and uniqueness of a traveling wave solution to the thin film equation with a"}
{"subject": "math:arxiv_153388", "predicate": "proves", "object": "we prove global existence and uniqueness of strong solutions to the logarithmic porous medium type e"}
{"subject": "math:arxiv_153394", "predicate": "proves", "object": "we use renormalization group methods to derive equations of motion for large scale variables in flui"}
{"subject": "math:arxiv_153425", "predicate": "proves", "object": "hydrodynamic equations for granular gases driven by the fokker - planck operator are derived . \n tra"}
{"subject": "math:arxiv_153456", "predicate": "proves", "object": "in this talk we discuss the relations between representations of algebraic groups and principal bund"}
{"subject": "math:arxiv_153481", "predicate": "proves", "object": "this paper develops a new efficient scheme for approximations of expectations of the solutions to st"}
{"subject": "math:arxiv_153487", "predicate": "proves", "object": "let @xmath0  be an @xmath1-arithmetic subgroup of a solvable algebraic group  @xmath2 over an algebr"}
{"subject": "math:arxiv_153496", "predicate": "proves", "object": "we analyze the resolvent and define the scattering matrix for asymptotically hyperbolic manifolds wi"}
{"subject": "math:arxiv_153505", "predicate": "proves", "object": "this paper gives the classification of the whittaker unitary dual for affine graded hecke algebras o"}
{"subject": "math:arxiv_153515", "predicate": "proves", "object": "we report on a new 3d numerical code designed to solve the einstein equations for general vacuum spa"}
{"subject": "math:arxiv_153531", "predicate": "proves", "object": "we have studied the giant magnetoresistance ( gmr ) for laterally confined multilayers , e.g. , laye"}
{"subject": "math:arxiv_153542", "predicate": "proves", "object": "einstein s field equations for timelike self - similar spherically symmetric perfect - fluid models "}
{"subject": "math:arxiv_153555", "predicate": "proves", "object": "we consider corrections in the form of @xmath0 to the einstein - hilbert lagrangian \n . then we comp"}
{"subject": "math:arxiv_153558", "predicate": "proves", "object": "in a previous paper @xcite an euler angle parameterization for @xmath0 was given . \n here we present"}
{"subject": "math:arxiv_153563", "predicate": "proves", "object": "sr@xmath0ruo@xmath1 , a spin - triplet , @xmath2-wave superconductor , is predicted to feature half "}
{"subject": "math:arxiv_153568", "predicate": "proves", "object": "teleparallel gravity is an equivalent formulation of general relativity in which instead of the ricc"}
{"subject": "math:arxiv_153577", "predicate": "proves", "object": "final state interactions in the @xmath0wave @xmath1 system ( i=0,2 ) are re - examined on the basis "}
{"subject": "math:arxiv_153581", "predicate": "proves", "object": "a phenomenology for the deep spatial geometry of loop quantum gravity is introduced . in the context"}
{"subject": "math:arxiv_153582", "predicate": "proves", "object": "optical detection of rydberg states using electromagnetically induced transparency ( eit ) enables c"}
{"subject": "math:arxiv_153588", "predicate": "proves", "object": "we consider a system of nonlinear schrdinger equations related to the raman amplification in a plasm"}
{"subject": "math:arxiv_153593", "predicate": "proves", "object": "we report the first measurements of azimuthal anisotropy at midrapidity originated from the dipole a"}
{"subject": "math:arxiv_153594", "predicate": "proves", "object": "the nonlinear gyrokinetic code gs2 has been extended to treat non - axisymmetric stellarator geometr"}
{"subject": "math:arxiv_153622", "predicate": "proves", "object": "many interesting phenomena in nature are described by stochastic processes with irreversible dynamic"}
{"subject": "math:arxiv_153640", "predicate": "proves", "object": "a new formulation of potential scattering in quantum mechanics is developed using a close structural"}
{"subject": "math:arxiv_153644", "predicate": "proves", "object": "we study spinodal decomposition and coarsening when initiated by localized disturbances in the cahn "}
{"subject": "math:arxiv_153645", "predicate": "proves", "object": "we consider linear delay differential equations at the verge of hopf instability , i.e. a pair of ro"}
{"subject": "math:arxiv_153646", "predicate": "proves", "object": "we investigate a ( 3 + 1)-dimensional hydrodynamic expansion of the hot and dense system created in "}
{"subject": "math:arxiv_153651", "predicate": "proves", "object": "we study a class of fourth order curvature flows on a compact riemannian manifold , which includes t"}
{"subject": "math:arxiv_153665", "predicate": "proves", "object": "for four newly suggested realistic equations of state of neutron star matter , we construct equilibr"}
{"subject": "math:arxiv_153670", "predicate": "proves", "object": "in this paper the compatibility is analyzed of the non - perturbative equations of state of quarks a"}
{"subject": "math:arxiv_153679", "predicate": "proves", "object": "the condition of nilpotency is studied in the general linear lie algebra @xmath0 and the symplectic "}
{"subject": "math:arxiv_153693", "predicate": "proves", "object": "we present a semi - analytic model atmosphere for close - in exoplanets that captures the essential "}
{"subject": "math:arxiv_153732", "predicate": "proves", "object": "we define the contact homology algebra for any contact manifold and show that it is an invariant of "}
{"subject": "math:arxiv_153735", "predicate": "proves", "object": "in this paper we study the oort conjecture concerning the non - existence of shimura subvarieties co"}
{"subject": "math:arxiv_153739", "predicate": "proves", "object": "it has been recently conjectured by boyer - gordon - watson @xcite that a closed , orientable , irre"}
{"subject": "math:arxiv_153744", "predicate": "proves", "object": "the first crisis in the geometry arose in the beginning of xixth century , when the mathematicians r"}
{"subject": "math:arxiv_153746", "predicate": "proves", "object": "we construct a formula for proton - nucleus total reaction cross section as a function of the mass a"}
{"subject": "math:arxiv_153747", "predicate": "proves", "object": "it is shown that under certain boundary conditions the virial theorem has to be modified . \n we anal"}
{"subject": "math:arxiv_153758", "predicate": "proves", "object": "we study the stepwise sine - gordon equation , in which the system parameter is different for positi"}
{"subject": "math:arxiv_153770", "predicate": "proves", "object": "we consider the quantum mechanical generalization of crooks fluctuation theorem and jarzynski equali"}
{"subject": "math:arxiv_153784", "predicate": "proves", "object": "lattice reduction algorithms have numerous applications in number theory , algebra , as well as in c"}
{"subject": "math:arxiv_153786", "predicate": "proves", "object": "we prove that every complete non - compact manifold of finite volume contains a ( possibly non - com"}
{"subject": "math:arxiv_153805", "predicate": "proves", "object": "in the spirit of ray and singer we define a complex valued analytic torsion using non - selfadjoint "}
{"subject": "math:arxiv_153820", "predicate": "proves", "object": "numerical solutions for : the integral curves of the velocity field ( streamlines ) , the density co"}
{"subject": "math:arxiv_153834", "predicate": "proves", "object": "the spatial structure of the spinor bose - einstein condensates with the spin degrees of freedom is "}
{"subject": "math:arxiv_153835", "predicate": "proves", "object": "we measure the three - dimensional topology of large - scale structure in the sloan digital sky surv"}
{"subject": "math:arxiv_153855", "predicate": "proves", "object": "the resolvent operator plays a central role in matrix models . for instance , with utilizing the loo"}
{"subject": "math:arxiv_153866", "predicate": "proves", "object": "the set @xmath0 of all null geodesics of a globally hyperbolic @xmath1-dimensional spacetime @xmath2"}
{"subject": "math:arxiv_153893", "predicate": "proves", "object": "in this paper , a non - polynomial spectral petrov - galerkin method and associated collocation meth"}
{"subject": "math:arxiv_153896", "predicate": "proves", "object": "montgomery s pair correlation conjecture predicts the asymptotic behavior of the function @xmath0 de"}
{"subject": "math:arxiv_153898", "predicate": "proves", "object": "we extend our light dialectica interpretation @xcite to usual and light modal formulas and prove it "}
{"subject": "math:arxiv_153914", "predicate": "proves", "object": "it is possible that relativistic symmetries become deformed in the semiclassical regime of quantum g"}
{"subject": "math:arxiv_153915", "predicate": "proves", "object": "we study inflation in the framework of @xmath0-gravity in the presence of a canonical scalar field ."}
{"subject": "math:arxiv_153933", "predicate": "proves", "object": "a natural problem in the theory of 3-manifolds is the question of whether two 3-manifolds are homeom"}
{"subject": "math:arxiv_153942", "predicate": "proves", "object": "this talk provides a summary of the results obtained by the hotqcd collaboration on the equation of "}
{"subject": "math:arxiv_153944", "predicate": "proves", "object": "we studied the effect of the turbulent heat flux on the reynolds stresses in a rotating turbulent co"}
{"subject": "math:arxiv_153947", "predicate": "proves", "object": "for many years the classical hall - vinen - iordanski ( hvi ) equation has been used to analyse vort"}
{"subject": "math:arxiv_153954", "predicate": "proves", "object": "we consider the numerical approximation of general semilinear parabolic stochastic partial different"}
{"subject": "math:arxiv_153955", "predicate": "proves", "object": "inspired by the recent complexity = action  conjecture , we use the approach proposed by lehner _ et"}
{"subject": "math:arxiv_153956", "predicate": "proves", "object": "a kinetic inhomogeneous boltzmann - type equation is proposed to model the dynamics of the number of"}
{"subject": "math:arxiv_153958", "predicate": "proves", "object": "a homology theory is developed for set - theoretic yang - baxter equations , and knot invariants are"}
{"subject": "math:arxiv_153961", "predicate": "proves", "object": "we review some basic concepts related to convex real projective structures from the differential geo"}
{"subject": "math:arxiv_153962", "predicate": "proves", "object": "we present a model based on the lattice boltzmann equation that is suitable for the simulation of dy"}
{"subject": "math:arxiv_153964", "predicate": "proves", "object": "the angular wave function for a hydrogen atom is well known as the spherical harmonics , and is obta"}
{"subject": "math:arxiv_153982", "predicate": "proves", "object": "persistence theory discussed in this paper is an application of algebraic topology ( morse theory ) "}
{"subject": "math:arxiv_153983", "predicate": "proves", "object": "if general relativity is the correct theory of physics on large scales , then there is a differentia"}
{"subject": "math:arxiv_153989", "predicate": "proves", "object": "the induced current density , corresponding to the massless dirac equation in ( 2 + 1 ) dimensions i"}
{"subject": "math:arxiv_154011", "predicate": "proves", "object": "we investigate the geodesic motion of massless test particles in the background of a non - commutati"}
{"subject": "math:arxiv_154034", "predicate": "proves", "object": "in the bhm theorem workshop on crete island , zoran petric called statman s `` typical ambiguity the"}
{"subject": "math:arxiv_154068", "predicate": "proves", "object": "on a bounded smooth domain @xmath0 we study solutions of a semilinear elliptic equation with an expo"}
{"subject": "math:arxiv_154079", "predicate": "proves", "object": "a `` folklore conjecture , probably due to tutte '' ( as described in [ p.d . \n seymour , sums of ci"}
{"subject": "math:arxiv_154085", "predicate": "proves", "object": "in this paper we present a numerical scheme to simulate a moving rigid body with arbitrary shape sus"}
{"subject": "math:arxiv_154088", "predicate": "proves", "object": "we develop the kinetic theory of dilute cohesive granular gases in which the attractive part is desc"}
{"subject": "math:arxiv_154101", "predicate": "proves", "object": "we discuss the influence of the finite extension and the geometry of clusters of galaxies , as well "}
{"subject": "math:arxiv_154114", "predicate": "proves", "object": "representation of the elastic scattering amplitude in the form of the path integral is obtained usin"}
{"subject": "math:arxiv_154142", "predicate": "proves", "object": "in this work we study the cosmology of the general @xmath0 gravity theory . we express the modified "}
{"subject": "math:arxiv_154146", "predicate": "proves", "object": "the homogeneous boltzmann equation for inelastic maxwell mixtures is considered to study the dynamic"}
{"subject": "math:arxiv_154153", "predicate": "proves", "object": "in this paper , we introduce a numeraire - free and original probability based framework for financi"}
{"subject": "math:arxiv_154172", "predicate": "proves", "object": "in this paper , we prove that certain spaces are not quasi - isometric to cayley graphs of finitely "}
{"subject": "math:arxiv_154178", "predicate": "proves", "object": "primes in the two complete associative normed division algebras @xmath0 and @xmath1 have affinities "}
{"subject": "math:arxiv_154187", "predicate": "proves", "object": "we introduce a discrete - time fractional calculus of variations on the time scale @xmath0 , @xmath1"}
{"subject": "math:arxiv_154202", "predicate": "proves", "object": "the algebras of non - relativistic and of classical mechanics are unstable algebraic structures . \n "}
{"subject": "math:arxiv_154233", "predicate": "proves", "object": "let @xmath0 be a lie algebra of type @xmath1 with fixed cartan subalgebra @xmath2 , root system @xma"}
{"subject": "math:arxiv_154239", "predicate": "proves", "object": "we combine two important recent advancements of mcmc algorithms : first , methods utilizing the intr"}
{"subject": "math:arxiv_154274", "predicate": "proves", "object": "shuichi nos opened up a new world of atomistic simulation in 1984 . \n he formulated a hamiltonian ta"}
{"subject": "math:arxiv_154281", "predicate": "proves", "object": "we formulate the problem of numerical analytic continuation in a way that lets us draw meaningful co"}
{"subject": "math:arxiv_154308", "predicate": "proves", "object": "this article treats various aspects of the geometry of the moduli @xmath0 of @xmath1-spin curves and"}
{"subject": "math:arxiv_154318", "predicate": "proves", "object": "a method for inverting the statistical star counts equation , including proper motions , is presente"}
{"subject": "math:arxiv_154321", "predicate": "proves", "object": "employing morse theory and the method of analytic discs but no @xmath0 techniques , we establish a v"}
{"subject": "math:arxiv_154330", "predicate": "proves", "object": "we solve the two - component dirac equation in the presence of a spatially one dimensional symmetric"}
{"subject": "math:arxiv_154334", "predicate": "proves", "object": "we continue here with previous investigations @xcite on the global behavior of general type non - li"}
{"subject": "math:arxiv_154337", "predicate": "proves", "object": "the similarity renormalization group procedure formulated in terms of effective particles is briefly"}
{"subject": "math:arxiv_154342", "predicate": "proves", "object": "we study an electrodynamics consistent with anisotropic transformations of space - time with an arbi"}
{"subject": "math:arxiv_154348", "predicate": "proves", "object": "we study the influence of intracluster large scale magnetic fields on the thermal sunyaev - zeldovic"}
{"subject": "math:arxiv_154366", "predicate": "proves", "object": "improved general slow - roll formulae giving the primordial gravitational wave spectrum are derived "}
{"subject": "math:arxiv_154379", "predicate": "proves", "object": "compact formulas for trapped - particle and passing - particle guiding - center orbits in axisymmetr"}
{"subject": "math:arxiv_154388", "predicate": "proves", "object": "in 1958 , hill conjectured that the minimum number of crossings in a drawing of @xmath0 is exactly @"}
{"subject": "math:arxiv_154389", "predicate": "proves", "object": "concept of bi - soft topological spaces is introduced . \n several notions of a soft topological spac"}
{"subject": "math:arxiv_154397", "predicate": "proves", "object": "i present a reformulation of the schrdinger equation which allows to propagate fractions of the quan"}
{"subject": "math:arxiv_154400", "predicate": "proves", "object": "in this article we establish the relation between the spines of 3-manifolds and the polyhedra with i"}
{"subject": "math:arxiv_154426", "predicate": "proves", "object": "we report new results on the complexity of the valued constraint satisfaction problem ( vcsp ) . und"}
{"subject": "math:arxiv_154430", "predicate": "proves", "object": "we apply the adm 3 + 1 formalism to derive the general relativistic magnetohydrodynamic equations fo"}
{"subject": "math:arxiv_154436", "predicate": "proves", "object": "inspired by a recent graphical formalism for @xmath0-calculus based on linear logic technology , we "}
{"subject": "math:arxiv_154448", "predicate": "proves", "object": "the sine - gordon equation , used as the representative nonlinear wave equation , presents a bistabl"}
{"subject": "math:arxiv_154459", "predicate": "proves", "object": "in this paper we compute the charge group for symmetry preserving d - branes on group manifolds for "}
{"subject": "math:arxiv_154463", "predicate": "proves", "object": "we show that the fourth order nonlinear ode which controls the pole dynamics in the general solution"}
{"subject": "math:arxiv_154467", "predicate": "proves", "object": "we obtain , by a direct computation , explicit descriptions of all principally polarized semi - abel"}
{"subject": "math:arxiv_154473", "predicate": "proves", "object": "we show that , for the 1d cubic nls equation , widely separated equal amplitude in - phase solitons "}
{"subject": "math:arxiv_154481", "predicate": "proves", "object": "the genus-@xmath0 goeritz group is the group of isotopy classes of orientation - preserving homeomor"}
{"subject": "math:arxiv_154484", "predicate": "proves", "object": "we theoretically investigate the possibility of observing resonant activation in the hopping dynamic"}
{"subject": "math:arxiv_154486", "predicate": "proves", "object": "we present several versions of regularized combined field integral equation ( cfier ) formulations f"}
{"subject": "math:arxiv_154521", "predicate": "proves", "object": "starting with the relativistic boltzmann equation where the collision term is generalized to include"}
{"subject": "math:arxiv_154533", "predicate": "proves", "object": "in fritz john s famous paper ( 1979 ) , he discovered that for the wave equation @xmath0 , where @xm"}
{"subject": "math:arxiv_154535", "predicate": "proves", "object": "suppose that @xmath0 is a compact riemannian manifold with boundary and @xmath1 is an @xmath2-normal"}
{"subject": "math:arxiv_154536", "predicate": "proves", "object": "we give a simple proof of an explicit formula for kerov polynomials . this explicit formula \n is clo"}
{"subject": "math:arxiv_154558", "predicate": "proves", "object": "let @xmath0 be the mapping class group of a genus @xmath1 surface . \n the group @xmath0 has virtual "}
{"subject": "math:arxiv_154570", "predicate": "proves", "object": "we propose a microscopic effective interaction to treat pairing correlations in the @xmath0 channel "}
{"subject": "math:arxiv_154572", "predicate": "proves", "object": "a simple iteration methodology for the solution of a set of a linear algebraic equations is presente"}
{"subject": "math:arxiv_154573", "predicate": "proves", "object": "this is a survey of our program of perturbative quantization of gauge theories on manifolds with bou"}
{"subject": "math:arxiv_154581", "predicate": "proves", "object": "in this communication , we report results of three - dimensional hydrodynamic computations , by usin"}
{"subject": "math:arxiv_154603", "predicate": "proves", "object": "in this letter we study the aharonov - bohm problem for a spin-1/2 particle in the quantum deformed "}
{"subject": "math:arxiv_154611", "predicate": "proves", "object": "in this paper exact 1d transparent boundary conditions ( tbc ) for the 2d parabolic wave equation wi"}
{"subject": "math:arxiv_154626", "predicate": "proves", "object": "neuroscientists formulate very different hypotheses about the nature of neural code . at one extreme"}
{"subject": "math:arxiv_154653", "predicate": "proves", "object": "in this paper , we study complex valued branching brownian motion in the so - called glassy phase , "}
{"subject": "math:arxiv_154671", "predicate": "proves", "object": "we probe the geometry of magnetospheric accretion in classical t tauri stars by modeling red absorpt"}
{"subject": "math:arxiv_154682", "predicate": "proves", "object": "sequences that are defined by multisums of hypergeometric terms with compact support occur frequentl"}
{"subject": "math:arxiv_154687", "predicate": "proves", "object": "the quantum mechanical approach to the well known prisoners dilemma , one of the basic examples to i"}
{"subject": "math:arxiv_154692", "predicate": "proves", "object": "we apply the flow equation method for studying the current - current response function of electron s"}
{"subject": "math:arxiv_154693", "predicate": "proves", "object": "we are continuing out studies of the so - called markov inequalities with a majorant . \n inequalitie"}
{"subject": "math:arxiv_154760", "predicate": "proves", "object": "this is a short description of graphic lambda calculus , with special emphasis on a duality suggeste"}
{"subject": "math:arxiv_154774", "predicate": "proves", "object": "we consider the radial schr \" odinger equation with the pseudo - gaussian potential . by making an a"}
{"subject": "math:arxiv_154783", "predicate": "proves", "object": "an @xmath0-discontinuous galerkin ( dg ) method is applied to a class of second order linear hyperbo"}
{"subject": "math:arxiv_154807", "predicate": "proves", "object": "we shall use symmetry breaking as a tool to attack the problem of identifying the topology of chaoti"}
{"subject": "math:arxiv_154809", "predicate": "proves", "object": "we consider a gaussian process formulation of the multiple kernel learning problem . the goal is to "}
{"subject": "math:arxiv_154817", "predicate": "proves", "object": "this paper gives a combinatorial description of spin and spin - structures on triangulated manifolds"}
{"subject": "math:arxiv_154832", "predicate": "proves", "object": "we prove a conjecture of aanjaneya , bishnu , and pal that the maximum number of _ diffuse reflectio"}
{"subject": "math:arxiv_154833", "predicate": "proves", "object": "given a pair @xmath0 , where @xmath1 is a smooth submanifold in a closed smooth manifold @xmath2 , w"}
{"subject": "math:arxiv_154838", "predicate": "proves", "object": "ghmann , klmper and seel derived the multiple integral formula of the density matrix of the @xmath0 "}
{"subject": "math:arxiv_154861", "predicate": "proves", "object": "in this paper we will refine sacksteder s theorem for groups of orientation - preserving homeomorphi"}
{"subject": "math:arxiv_154871", "predicate": "proves", "object": "a new method to perform numerical simulations of light - front hamiltonians formulated on transverse"}
{"subject": "math:arxiv_154892", "predicate": "proves", "object": "we consider the flow of a newtonian fluid in a nano or microchannel with walls that have patterned v"}
{"subject": "math:arxiv_154900", "predicate": "proves", "object": "we present results for the equation of state of a graphene - like model in an effort to understand t"}
{"subject": "math:arxiv_154906", "predicate": "proves", "object": "shear viscosity @xmath0 is calculated for the nuclear matter described as a system of interacting nu"}
{"subject": "math:arxiv_154939", "predicate": "proves", "object": "the application of renormalization group ( rg ) methods to find perfect discretizations of partial d"}
{"subject": "math:arxiv_154946", "predicate": "proves", "object": "the alignment- and internuclear - distance dependent ionization of h@xmath0 exposed to intense , ult"}
{"subject": "math:arxiv_154982", "predicate": "proves", "object": "in this article , we derive bounds for values of the global geometry of locally tessellating planar "}
{"subject": "math:arxiv_154998", "predicate": "proves", "object": "we make use of possible high energy correction to the friedmann equation to implement the bounce and"}
{"subject": "math:arxiv_155015", "predicate": "proves", "object": "the classical notions of continuity and mechanical causality are left in order to reformulate the qu"}
{"subject": "math:arxiv_155042", "predicate": "proves", "object": "we consider the born - infeld nonlinear electromagnetic field equations and study its cauchy problem"}
{"subject": "math:arxiv_155047", "predicate": "proves", "object": "although the vlasov equation is used as a good approximation for a sufficiently large @xmath0 , brau"}
{"subject": "math:arxiv_155054", "predicate": "proves", "object": "in this paper we consider bound state solutions , i.e. , normalizable time - periodic solutions of t"}
{"subject": "math:arxiv_155070", "predicate": "proves", "object": "discrete nonlinear schrginger equation ( dnls ) of the form , @xmath0 = @xmath1 + @xmath2 - @xmath3 "}
{"subject": "math:arxiv_155091", "predicate": "proves", "object": "given a closed ( and non necessarily compact ) basic semi - algebraic set @xmath0 , we solve the @xm"}
{"subject": "math:arxiv_155094", "predicate": "proves", "object": "we reconstruct the interaction rate between the dark matter and the holographic dark energy with the"}
{"subject": "math:arxiv_155115", "predicate": "proves", "object": "[ [ abstract . ] ] abstract . \n + + + + + + + + +    we establish a combinatorial connection between"}
{"subject": "math:arxiv_155128", "predicate": "proves", "object": "we consider the @xmath0 non - linear sigma model for large @xmath1 as an effective theory for low - "}
{"subject": "math:arxiv_155142", "predicate": "proves", "object": "mode - mode coupling theory is presented for the resonant pumping via dynamical tunneling processes "}
{"subject": "math:arxiv_155152", "predicate": "proves", "object": "saturation of gluon distribution is a consequence of the non - linear evolution equations of qcd . \n"}
{"subject": "math:arxiv_155180", "predicate": "proves", "object": "in recent work , renaud , venaille , and bouchet ( rvb ) @xcite revisit the equilibrium statistical "}
{"subject": "math:arxiv_155182", "predicate": "proves", "object": "we discuss the palatini formulation of modified gravity including a yukawa - like term . it is shown"}
{"subject": "math:arxiv_155191", "predicate": "proves", "object": "gauss diagram formulas are extensively used to study vassiliev link invariants . \n now we apply this"}
{"subject": "math:arxiv_155192", "predicate": "proves", "object": "we prove a uniformly computable version of de  finetti s theorem on exchangeable sequences of real r"}
{"subject": "math:arxiv_155193", "predicate": "proves", "object": "the finite - difference time - domain ( fdtd ) method is a flexible and powerful technique for rigor"}
{"subject": "math:arxiv_155195", "predicate": "proves", "object": "short range correlations are introduced using unitary correlation method in a relativistic approach "}
{"subject": "math:arxiv_155231", "predicate": "proves", "object": "gross - pitaevskii equation for bose - einstein condensate confined in elongated cigar - shaped trap"}
{"subject": "math:arxiv_155233", "predicate": "proves", "object": "let @xmath0 be a closed , oriented , riemannian manifold of dimension @xmath1 . \n we call a _ systol"}
{"subject": "math:arxiv_155242", "predicate": "proves", "object": "we establish the general equations of motion for the modes of a vortex lattice in a rapidly rotating"}
{"subject": "math:arxiv_155253", "predicate": "proves", "object": "these lectures describe how to study the geometry of some black holes without the use of coordinates"}
{"subject": "math:arxiv_155258", "predicate": "proves", "object": "the quantum group @xmath0 is known to be related to the jordanian @xmath1 via a contraction procedur"}
{"subject": "math:arxiv_155263", "predicate": "proves", "object": "an action functional for the loop quantum cosmology difference equation is presented . \n it is shown"}
{"subject": "math:arxiv_155269", "predicate": "proves", "object": "convex algebraic geometry concerns the interplay between optimization theory and real algebraic geom"}
{"subject": "math:arxiv_155290", "predicate": "proves", "object": "symplectic 4-manifolds @xmath0 with @xmath1 are roughly classified by the canonical class @xmath2 an"}
{"subject": "math:arxiv_155292", "predicate": "proves", "object": "the analysis of the dynamics of a material point perfectly constrained to a submanifold of the three"}
{"subject": "math:arxiv_155294", "predicate": "proves", "object": "we find the lax pair for a system of reduced maxwell \n bloch equations that describes the propagatio"}
{"subject": "math:arxiv_155305", "predicate": "proves", "object": "we investigate schmidt s conjecture ( i.e. , that the star formation rate scales in a power - law fa"}
{"subject": "math:arxiv_155309", "predicate": "proves", "object": "the paper deals with the weyl equation which is the massless dirac equation . \n we study the weyl eq"}
{"subject": "math:arxiv_155331", "predicate": "proves", "object": "we obtain the trace map images of the values of certain harmonic volumes for some quotients of ferma"}
{"subject": "math:arxiv_155339", "predicate": "proves", "object": "muchnik s theorem about simple conditional descriptions states that for all strings @xmath0 and @xma"}
{"subject": "math:arxiv_155342", "predicate": "proves", "object": "let @xmath0 be three distinct points in the plane , and , for @xmath1 , let @xmath2 be a family of @"}
{"subject": "math:arxiv_155350", "predicate": "proves", "object": "we discuss the relationship between different notions of `` integrality '' in motivic cohomology / k"}
{"subject": "math:arxiv_155355", "predicate": "proves", "object": "the suppression of spin - exchange relaxation in dense alkali - metal vapors discovered in 1973 and "}
{"subject": "math:arxiv_155377", "predicate": "proves", "object": "this article will explore the @xmath0- and @xmath1-theory of group rings and their applications to a"}
{"subject": "math:arxiv_155382", "predicate": "proves", "object": "kashiwara and saito have a geometric construction of the infinity crystal for any symmetric kac - mo"}
{"subject": "math:arxiv_155387", "predicate": "proves", "object": "this paper analyzes the reconstruction of diffusion and absorption parameters in an elliptic equatio"}
{"subject": "math:arxiv_155388", "predicate": "proves", "object": "supersymmetric models , in most cases , suffer from the lack of non - perturbative techniques . \n re"}
{"subject": "math:arxiv_155401", "predicate": "proves", "object": "the generalized klein - nishina formula for compton scattering of charged particles by a finite trai"}
{"subject": "math:arxiv_155402", "predicate": "proves", "object": "the study of graph vertex colorability from an algebraic perspective has introduced novel techniques"}
{"subject": "math:arxiv_155403", "predicate": "proves", "object": "the probability density function ( pdf ) of flux @xmath0 is computed in systems with logarithmic non"}
{"subject": "math:arxiv_155407", "predicate": "proves", "object": "using fopi data on elliptic flow in au+au collisions between 0.4 and 1.5a  gev we extract constraint"}
{"subject": "math:arxiv_155416", "predicate": "proves", "object": "we present a formulation for multigroup radiation hydrodynamics that is correct to order @xmath0 usi"}
{"subject": "math:arxiv_155427", "predicate": "proves", "object": "the exact general solution to the einstein equations in a homogeneous universe with a full causal vi"}
{"subject": "math:arxiv_155428", "predicate": "proves", "object": "in the context of metric perturbation theory for non - spinning black holes , extreme mass ratio bin"}
{"subject": "math:arxiv_155442", "predicate": "proves", "object": "upper bounds are derived for codes in stiefel and grassmann manifolds with given minimum chordal dis"}
{"subject": "math:arxiv_155444", "predicate": "proves", "object": "a fully back - reaction geometry model of ads / qcd including the strange quark is described . \n we "}
{"subject": "math:arxiv_155451", "predicate": "proves", "object": "we present the novel approach to the bose - hubbard model using the @xmath0 quantum rotor descriptio"}
{"subject": "math:arxiv_155470", "predicate": "proves", "object": "this is the third part of our series `` quasiclassical and quantum systems of angular momentum '' . "}
{"subject": "math:arxiv_155491", "predicate": "proves", "object": "we consider how variations in the moduli of the compactification manifold contribute ` @xmath0 ' typ"}
{"subject": "math:arxiv_155502", "predicate": "proves", "object": "the dynamics of moving vortex lattice is considered in the framework of the time dependent ginzburg "}
{"subject": "math:arxiv_155533", "predicate": "proves", "object": "an analytical method is presented to solve generalized qcd evolution equations for the time developm"}
{"subject": "math:arxiv_155546", "predicate": "proves", "object": "we study which geometric structure can be constructed from the vierbein ( frame / coframe ) variable"}
{"subject": "math:arxiv_155548", "predicate": "proves", "object": "a numerical method of mode analysis of rapidly rotating relativistic stellar models by the cowling a"}
{"subject": "math:arxiv_155551", "predicate": "proves", "object": "the master equation approach is proposed to describe the evolution of passengers in a subway system "}
{"subject": "math:arxiv_155573", "predicate": "proves", "object": "we obtain a hypergraph generalisation of the graph blow - up lemma proved by komls , sarkzy and szem"}
{"subject": "math:arxiv_155575", "predicate": "proves", "object": "in this paper we consider a simple algebraic structure  sets with a single endofunction . \n we shall"}
{"subject": "math:arxiv_155599", "predicate": "proves", "object": "using geometric homology and cohomology we give a simple conceptual proof of the thom isomorphism th"}
{"subject": "math:arxiv_155605", "predicate": "proves", "object": "given a birational parameterization @xmath0 of an algebraic surface @xmath1 in the projective space "}
{"subject": "math:arxiv_155609", "predicate": "proves", "object": "we consider the numerical method for non - self - adjoint positive definite linear differential equa"}
{"subject": "math:arxiv_155611", "predicate": "proves", "object": "the notion of @xmath0-competition graphs of digraphs was introduced by s - r . \n kim , t.  a.  mckee"}
{"subject": "math:arxiv_155627", "predicate": "proves", "object": "it is a well established fact , that any projective algebraic variety is a moduli space of represent"}
{"subject": "math:arxiv_155639", "predicate": "proves", "object": "we compute equations for real multiplication on the divisor classes of genus two curves via algebrai"}
{"subject": "math:arxiv_155650", "predicate": "proves", "object": "we investigate hadwiger s conjecture for graphs with no stable set of size 3 . such a graph on at le"}
{"subject": "math:arxiv_155666", "predicate": "proves", "object": "a new master equation performing isotropic phase - number squeezing is suggested . \n the phase prope"}
{"subject": "math:arxiv_155678", "predicate": "proves", "object": "we consider a system of two interacting particles with like but unequal charges in a magnetic field "}
{"subject": "math:arxiv_155686", "predicate": "proves", "object": "andreev scattering of thermal excitations is a powerful tool for studying quantized vortices and tur"}
{"subject": "math:arxiv_155692", "predicate": "proves", "object": "using anyon - fermion mapping method , we investigate the ground state properties of hard - core any"}
{"subject": "math:arxiv_155693", "predicate": "proves", "object": "determining the type of matter that is inside a neutron star ( ns ) has been a long - standing goal "}
{"subject": "math:arxiv_155704", "predicate": "proves", "object": "we formulate the three - dimensional @xmath0(@xmath1 ) landau level problem in cubic lattices with t"}
{"subject": "math:arxiv_155707", "predicate": "proves", "object": "we study a five - dimensional perfect fluid coupled with kaluza - klein  ( kk ) gravity . by dimensi"}
{"subject": "math:arxiv_155709", "predicate": "proves", "object": "we study the self - normalized sums of independent random variables from the perspective of the mall"}
{"subject": "math:arxiv_155722", "predicate": "proves", "object": "we study the largest values of the @xmath0th row of stern s diatomic array . in particular , we prov"}
{"subject": "math:arxiv_155729", "predicate": "proves", "object": "the _ nonlinear complex heat equation _ \n @xmath0 was introduced by p.  coullet and l.  kramer as a "}
{"subject": "math:arxiv_155738", "predicate": "proves", "object": "the program duo ( yurchenko _ et al . _ , computer phys . \n comms . , 202 ( 2016 ) 262 ) provides di"}
{"subject": "math:arxiv_155758", "predicate": "proves", "object": "the alternative to the standard formulation of the quark - parton model is proposed . \n our relativi"}
{"subject": "math:arxiv_155772", "predicate": "proves", "object": "we show that the equations of motion governing the evolution of a collisionless gravitating system o"}
{"subject": "math:arxiv_155781", "predicate": "proves", "object": "we show that a random @xmath0manifold with positive first betti number admits a tower of cyclic cove"}
{"subject": "math:arxiv_155810", "predicate": "proves", "object": "this article gives a complete account of the modular properties and verlinde formula for conformal f"}
{"subject": "math:arxiv_155819", "predicate": "proves", "object": "in this paper , we develop a quantitative @xmath0-theory for filtered @xmath1-algebras . \n particula"}
{"subject": "math:arxiv_155826", "predicate": "proves", "object": "we present a description of the adaptive mesh refinement ( amr ) implementation of the pluto code fo"}
{"subject": "math:arxiv_155837", "predicate": "proves", "object": "we derive the equation of state for hot nuclear matter using walecka model in a nonperturbative form"}
{"subject": "math:arxiv_155853", "predicate": "proves", "object": "filtration combustion is described by laplacian growth without surface tension . these equations \n h"}
{"subject": "math:arxiv_155861", "predicate": "proves", "object": "we study an explicit construction of planar open books with four binding components on any three - m"}
{"subject": "math:arxiv_155870", "predicate": "proves", "object": "we give theorems that can be used to upper bound the densities of packings of different spherical ca"}
{"subject": "math:arxiv_155874", "predicate": "proves", "object": "we introduce a technique to calculate thermal conductivity in disordered nanostructures : a finite -"}
{"subject": "math:arxiv_155881", "predicate": "proves", "object": "non - extensive systems do not allow to go to the thermodynamic limit . \n therefore we have to refor"}
{"subject": "math:arxiv_155883", "predicate": "proves", "object": "this work considers normalized inverse determinant sums as a tool for analyzing the performance of d"}
{"subject": "math:arxiv_155889", "predicate": "proves", "object": "a study is made of frequency comb generation described by the driven and damped nonlinear schrdinger"}
{"subject": "math:arxiv_155918", "predicate": "proves", "object": "the three power - laws proposed by faloutsos ( 1999 ) are important discoveries among many recent wo"}
{"subject": "math:arxiv_155929", "predicate": "proves", "object": "one describes , using a detailed analysis of atiyah  hirzebruch spectral sequence , the tuples of co"}
{"subject": "math:arxiv_155951", "predicate": "proves", "object": "in this paper , we investigate adaptive streamline upwind / petrov galerkin ( supg ) methods for sin"}
{"subject": "math:arxiv_155958", "predicate": "proves", "object": "suppose the knot group @xmath0 of a knot @xmath1 has a non - abelian representation @xmath2 on @xmat"}
{"subject": "math:arxiv_155966", "predicate": "proves", "object": "based on recently derived exact stochastic liouville - von neumann equations , several strategies fo"}
{"subject": "math:arxiv_155967", "predicate": "proves", "object": "this paper is about the logarithmic limit sets of real semi - algebraic sets , and , more generally "}
{"subject": "math:arxiv_155983", "predicate": "proves", "object": "axiomatic principles such as analyticity , unitarity , and crossing symmetry constrain the second de"}
{"subject": "math:arxiv_155985", "predicate": "proves", "object": "in this paper , we consider numerical homogenization of acoustic wave equations with heterogeneous c"}
{"subject": "math:arxiv_155986", "predicate": "proves", "object": "we formulate a spin - polarized van leeuwen and baerends ( vlb ) correction to the local density app"}
{"subject": "math:arxiv_155994", "predicate": "proves", "object": "we study time evolution of critical fluctuations of conserved charges near the qcd critical point in"}
{"subject": "math:arxiv_155999", "predicate": "proves", "object": "we introduce the theory of non - linear cosmological perturbations using the correspondence limit of"}
{"subject": "math:arxiv_156013", "predicate": "proves", "object": "static traversable wormhole solutions of the einstein equations require `` exotic '' matter which vi"}
{"subject": "math:arxiv_156023", "predicate": "proves", "object": "relativistic magnetohydrodynamics can be reformulated in terms of magnetic flux tubes which turn out"}
{"subject": "math:arxiv_156031", "predicate": "proves", "object": "an affine hecke algebra @xmath0 contains a large abelian subalgebra @xmath1 spanned by the bernstein"}
{"subject": "math:arxiv_156043", "predicate": "proves", "object": "we describe a versatile mechanism that provides tight - binding models with an enriched , topologica"}
{"subject": "math:arxiv_156051", "predicate": "proves", "object": "an analytical solution of einstein - maxwell equations with a static fluid as a source is presented "}
{"subject": "math:arxiv_156058", "predicate": "proves", "object": "maxwell s equations can not describe a homogeneous and isotropic universe with a uniformly distribut"}
{"subject": "math:arxiv_156086", "predicate": "proves", "object": "this work presents and studies riccati equations over finite - dimensional normed division algebras "}
{"subject": "math:arxiv_156090", "predicate": "proves", "object": "we extend the frozen density embedding theory to non - integer subsystems particles numbers . \n diff"}
{"subject": "math:arxiv_156105", "predicate": "proves", "object": "we introduce the _ euclid  mullin graph _ , which encodes all instances of euclid s proof of the inf"}
{"subject": "math:arxiv_156112", "predicate": "proves", "object": "we report our results of the monte carlo renormalization group analysis in two dimensional coupling "}
{"subject": "math:arxiv_156117", "predicate": "proves", "object": "we reformulate the density matrix renormalization group method ( dmrg ) in terms of a single block ,"}
{"subject": "math:arxiv_156120", "predicate": "proves", "object": "we develop superoperator coupled cluster method for nonequilibrium open many - body quantum systems "}
{"subject": "math:arxiv_156127", "predicate": "proves", "object": "we study the nonclassical properties and algebraic characteristics of the negative binomial states i"}
{"subject": "math:arxiv_156140", "predicate": "proves", "object": "we provide bijective proofs of two classic identities that are very simple to prove using generating"}
{"subject": "math:arxiv_156153", "predicate": "proves", "object": "we consider linear divergence - form scalar elliptic equations and vectorial equations for elasticit"}
{"subject": "math:arxiv_156154", "predicate": "proves", "object": "based on our formulation of the dna electrophoresis near a pore [ p. rowghanian and a. y. grosberg ,"}
{"subject": "math:arxiv_156156", "predicate": "proves", "object": "in this paper , we propose corrections to the likelihood ratio test and john s test for sphericity i"}
{"subject": "math:arxiv_156157", "predicate": "proves", "object": "we prove vanishing results for unramified stable cohomology of finite groups of lie type . \n xy    ="}
{"subject": "math:arxiv_156176", "predicate": "proves", "object": "we prove tsygan s formality conjecture for hochschild chains of the algebra of functions on an arbit"}
{"subject": "math:arxiv_156188", "predicate": "proves", "object": "the navier  stokes equations arise naturally as a result of ehrenfests coarse - graining in phase sp"}
{"subject": "math:arxiv_156219", "predicate": "proves", "object": "one way to proof or exclude the existence of axion like particles is a microwave light shining throu"}
{"subject": "math:arxiv_156229", "predicate": "proves", "object": "knot theory is the study of isotopy classes of embeddings of the circle @xmath0 into a @xmath1-manif"}
{"subject": "math:arxiv_156250", "predicate": "proves", "object": "we consider two problems related to polar codes . first is the problem of polar codes construction a"}
{"subject": "math:arxiv_156251", "predicate": "proves", "object": "in recent articles [ mishima _ et al . _ , phys.rev . \n a , * 66 * , 033401 ( 2002 ) ; chao , phys.r"}
{"subject": "math:arxiv_156270", "predicate": "proves", "object": "we consider the coaction of two distinct noise sources on the activation process of a single and two"}
{"subject": "math:arxiv_156289", "predicate": "proves", "object": "in this paper , a feynman  kac formula is established for stochastic partial differential equation d"}
{"subject": "math:arxiv_156290", "predicate": "proves", "object": "this paper provides a simple proof of the mutual incoherence condition ( @xmath0 ) under which @xmat"}
{"subject": "math:arxiv_156294", "predicate": "proves", "object": "in this note we describe the recursion relations between two parameter homlfy and kauffman polynomia"}
{"subject": "math:arxiv_156304", "predicate": "proves", "object": "the rationale behind recent calibrations of the cepheid pl relation using the wesenheit formulation "}
{"subject": "math:arxiv_156331", "predicate": "proves", "object": "an exact solution of the einstein - maxwell field equations for a conformastationary metric with mag"}
{"subject": "math:arxiv_156336", "predicate": "proves", "object": "we confirm , in a more general framework , a part of the conjecture posed by r.  bell , c .- w . \n h"}
{"subject": "math:arxiv_156350", "predicate": "proves", "object": "the jones polynomial , discovered in @xmath0 @xcite , is an important knot invariant in topology . a"}
{"subject": "math:arxiv_156377", "predicate": "proves", "object": "by any account , the 1998 proof of the kepler conjecture is complex . the thesis underlying \n this a"}
{"subject": "math:arxiv_156390", "predicate": "proves", "object": "there is a renewed interest in weak model sets due to their connection to @xmath0-free systems @xcit"}
{"subject": "math:arxiv_156414", "predicate": "proves", "object": "tait s flyping conjecture , stating that two reduced , alternating , prime link diagrams can be conn"}
{"subject": "math:arxiv_156415", "predicate": "proves", "object": "the smoluchowsky equation for a system of interacting brownian particles in a temperature gradient i"}
{"subject": "math:arxiv_156416", "predicate": "proves", "object": "we experiment with modifications of the bssn form of the einstein field equations ( a reformulation "}
{"subject": "math:arxiv_156421", "predicate": "proves", "object": "we study a specific convex maximization problem in _ n_-dimensional space . the conjectured solution"}
{"subject": "math:arxiv_156446", "predicate": "proves", "object": "the results of several papers concerning the ern conjecture are deduced as consequences of a simple "}
{"subject": "math:arxiv_156472", "predicate": "proves", "object": "thermoacoustic tomography is a  term for the inverse problem of determining of one of initial condit"}
{"subject": "math:arxiv_156478", "predicate": "proves", "object": "for systems of identical bosons , it is necessary to reformulate the notions of separability and ent"}
{"subject": "math:arxiv_156482", "predicate": "proves", "object": "quasi - monte carlo ( qmc ) methods are applied to multi - level finite element ( fe ) discretizatio"}
{"subject": "math:arxiv_156492", "predicate": "proves", "object": "the diffusion of hard - core particles subject to a global bias is described by a nonlinear , anisot"}
{"subject": "math:arxiv_156500", "predicate": "proves", "object": "we introduce a geometric framework suitable for studying the relationships among biological sequence"}
{"subject": "math:arxiv_156542", "predicate": "proves", "object": "baker , ball and zachariasen have developed an elegant formulation of the dual superconducting model"}
{"subject": "math:arxiv_156543", "predicate": "proves", "object": "echo mapping exploits light travel time delays , revealed by multi - wavelength variability studies "}
{"subject": "math:arxiv_156554", "predicate": "proves", "object": "the aim of this paper is to extend the morse theory for geodesics to the conical manifolds . in a pr"}
{"subject": "math:arxiv_156565", "predicate": "proves", "object": "we analyze theoretically a three - terminal geometry in a fractional quantum hall system - studied i"}
{"subject": "math:arxiv_156577", "predicate": "proves", "object": "this article presents the formal proof of correctness for a plane delaunay triangulation algorithm ."}
{"subject": "math:arxiv_156583", "predicate": "proves", "object": "this is a sequel to our paper on nonlinear completely positive maps and dilation theory for real inv"}
{"subject": "math:arxiv_156587", "predicate": "proves", "object": "we present a new observational method to evaluate the exponent of the star formation law as initiall"}
{"subject": "math:arxiv_156595", "predicate": "proves", "object": "solutions to monge - kantorovich equations , expressing optimality condition in mass transportation "}
{"subject": "math:arxiv_156614", "predicate": "proves", "object": "we expound in detail a method frequently used to reduce the dirac equation in @xmath0-dimensional ( "}
{"subject": "math:arxiv_156626", "predicate": "proves", "object": "we compute explicitly the @xmath0-structure on the algebra @xmath1 , where @xmath2 is a line bundle "}
{"subject": "math:arxiv_156641", "predicate": "proves", "object": "we describe mixing scalar particles and majorana fermions using closed - time - path methods . from "}
{"subject": "math:arxiv_156649", "predicate": "proves", "object": "we develop a spectral formulation and a stationary wkb approximation for calculating the probabiliti"}
{"subject": "math:arxiv_156650", "predicate": "proves", "object": "in this paper , we consider the @xmath0 limit of the deformed virasoro algebra and that of the level"}
{"subject": "math:arxiv_156662", "predicate": "proves", "object": "in this paper we derive some first order differential equations which model the classical and the re"}
{"subject": "math:arxiv_156717", "predicate": "proves", "object": "a 3-manifold with marked boundary is a pair @xmath0 , where @xmath1 is a compact 3-manifold whose ( "}
{"subject": "math:arxiv_156732", "predicate": "proves", "object": "this work is based on the framework proposed by @xcite to determine the optimal timing of an investm"}
{"subject": "math:arxiv_156736", "predicate": "proves", "object": "we consider stochastic partial differential equations under minimal assumptions : the coefficients a"}
{"subject": "math:arxiv_156751", "predicate": "proves", "object": "brunetti , fredenhagen and verch ( bfv ) have shown how the notion of local covariance for quantum f"}
{"subject": "math:arxiv_156760", "predicate": "proves", "object": "we investigate the isoscalar and isovector components of the axial vector coupling constants , @xmat"}
{"subject": "math:arxiv_156767", "predicate": "proves", "object": "we show that bose - einstein condensates in optical lattices with broken time - reversal symmetry ca"}
{"subject": "math:arxiv_156768", "predicate": "proves", "object": "we compare two high order finite - difference methods that solve the elastic wave equation in two di"}
{"subject": "math:arxiv_156830", "predicate": "proves", "object": "this brief letter demonstrates that effects from a @xmath0 space - time geometry will measurably aff"}
{"subject": "math:arxiv_156846", "predicate": "proves", "object": "the aim of this paper is to give an upper bound for the dimension of a torus @xmath0 which acts on a"}
{"subject": "math:arxiv_156873", "predicate": "proves", "object": "there is a renewed interest in the uncertainty principle , reformulated from the information theoret"}
{"subject": "math:arxiv_156883", "predicate": "proves", "object": "heavy - ion reactions induced by neutron - rich nuclei provide a unique means to investigate the equ"}
{"subject": "math:arxiv_156889", "predicate": "proves", "object": "considering pure transmission scattering problems in piecewise constant media , we derive an exact a"}
{"subject": "math:arxiv_156915", "predicate": "proves", "object": "we show by explicit examples that in many degrees in a stable range the homotopy groups of the modul"}
{"subject": "math:arxiv_156920", "predicate": "proves", "object": "we study the ground states of rotating atomic bose - einstein condensates with dipolar interactions "}
{"subject": "math:arxiv_156943", "predicate": "proves", "object": "consider a compact manifold @xmath0 with boundary @xmath1 endowed with a riemannian metric @xmath2 a"}
{"subject": "math:arxiv_156952", "predicate": "proves", "object": "in this article , we formulate the generation of optomechanical entanglement between the linearly co"}
{"subject": "math:arxiv_156953", "predicate": "proves", "object": "motivated by the regime of qcd explored nowadays at lhc , where both the total energy of collision a"}
{"subject": "math:arxiv_156959", "predicate": "proves", "object": "in this article , we extend a milstein finite difference scheme introduced in @xcite for a certain l"}
{"subject": "math:arxiv_156960", "predicate": "proves", "object": "based on the field theoretic formulation of the general epidemic process we study logarithmic correc"}
{"subject": "math:arxiv_156963", "predicate": "proves", "object": "we describe a class of examples of braided monoidal categories which are built from hopf algebras in"}
{"subject": "math:arxiv_157000", "predicate": "proves", "object": "a non - commutative formula for the isotropic magneto - electric response of disordered insulators u"}
{"subject": "math:arxiv_157006", "predicate": "proves", "object": "the set of differential equations obeyed by the redshift in the general @xmath0 szekeres spacetimes "}
{"subject": "math:arxiv_157022", "predicate": "proves", "object": "mass formulas for the vector mesons written in terms of the gluon condensate i.e. , the trace anomal"}
{"subject": "math:arxiv_157033", "predicate": "proves", "object": "relation between the geometry of a two - dimensional sample and its equilibrium physical properties "}
{"subject": "math:arxiv_157035", "predicate": "proves", "object": "we formulate a low - energy theory for the magnetic interactions between electrons in the multi - ba"}
{"subject": "math:arxiv_157059", "predicate": "proves", "object": "we explore the probabilistic foundations of shared control in complex dynamic environments . in orde"}
{"subject": "math:arxiv_157066", "predicate": "proves", "object": "we present a continuous formulation of epidemic spreading on multilayer networks using a tensorial r"}
{"subject": "math:arxiv_157085", "predicate": "proves", "object": "within the linearized three - dimensional theory of polymer gels , we consider a sequence of problem"}
{"subject": "math:arxiv_157124", "predicate": "proves", "object": "the numerical calculations of the standard eliashberg - nambu strong coupling theory and a formula o"}
{"subject": "math:arxiv_157126", "predicate": "proves", "object": "we consider evolution in the unit disk in which the sample paths are represented by the trajectories"}
{"subject": "math:arxiv_157130", "predicate": "proves", "object": "we present a new method for sampling stochastic displacements in brownian dynamics ( bd ) simulation"}
{"subject": "math:arxiv_157135", "predicate": "proves", "object": "exact boundary conditions at finite distance for the solutions of the time - dependent schrodinger e"}
{"subject": "math:arxiv_157137", "predicate": "proves", "object": "we prove that conformally parametrized surfaces in euclidean space @xmath0 of curvature @xmath1 admi"}
{"subject": "math:arxiv_157138", "predicate": "proves", "object": "we note that a tridiagonal matrix representation of the algebra of the partially asymmetric exclusio"}
{"subject": "math:arxiv_157140", "predicate": "proves", "object": "in this work we demonstrate that the yang - baxter algebra can also be employed in order to derive a"}
{"subject": "math:arxiv_157142", "predicate": "proves", "object": "various models have been proposed in which the schrdinger equation is modified to account for a deca"}
{"subject": "math:arxiv_157154", "predicate": "proves", "object": "this paper considers systems subject to nonholonomic constraints which are not uniform on the whole "}
{"subject": "math:arxiv_157155", "predicate": "proves", "object": "in an earlier paper almeida and frenkel considered the calculation of the pressure in @xmath0 theory"}
{"subject": "math:arxiv_157163", "predicate": "proves", "object": "as part of a study that investigates the dynamics of the @xmath0 @xmath1 model in the planar regime "}
{"subject": "math:arxiv_157164", "predicate": "proves", "object": "we prove the theorem announced in phys . \n rev . lett . * 85*:5022 , 2001 concerning the existence a"}
{"subject": "math:arxiv_157167", "predicate": "proves", "object": "steady states of the thin film equation @xmath0_\\theta=0 $ ] are considered on the periodic domain @"}
{"subject": "math:arxiv_157177", "predicate": "proves", "object": "we formulate the rna folding problem as an @xmath0 matrix field theory . \n this matrix formalism all"}
{"subject": "math:arxiv_157218", "predicate": "proves", "object": "generalized solutions of the standard gauge transformation equations are presented and discussed in "}
{"subject": "math:arxiv_157220", "predicate": "proves", "object": "this paper provides a primer in quantum field theory ( qft ) based on hopf algebra and describes new"}
{"subject": "math:arxiv_157230", "predicate": "proves", "object": "a green s function formalism is used to calculate the spectrum of localized modes of an impurity lay"}
{"subject": "math:arxiv_157243", "predicate": "proves", "object": "the differential cross section and analyzing power @xmath0 of the @xmath1 reaction have been measure"}
{"subject": "math:arxiv_157253", "predicate": "proves", "object": "we present a concise new definition of finsler spacetimes that generalize lorentzian metric manifold"}
{"subject": "math:arxiv_157262", "predicate": "proves", "object": "we study one - sided matching mechanisms where agents have vnm utility functions and report ordinal "}
{"subject": "math:arxiv_157266", "predicate": "proves", "object": "we discuss the solution of a nonlinear ordinary differential equation that appears in a model for mh"}
{"subject": "math:arxiv_157273", "predicate": "proves", "object": "the so - called direct approach to separation of variables in linear pdes is applied to the hydrodyn"}
{"subject": "math:arxiv_157283", "predicate": "proves", "object": "we review and comment on some works of euler and his followers on spherical geometry . \n we start by"}
{"subject": "math:arxiv_157308", "predicate": "proves", "object": "a generalized gross - pitaevskii equation adapted to the @xmath0 symmetry has been derived and solve"}
{"subject": "math:arxiv_157309", "predicate": "proves", "object": ".3 in the role of infrared and ultraviolet renormalons are discussed in context of leading log(1/x )"}
{"subject": "math:arxiv_157310", "predicate": "proves", "object": "this paper presents a novel quadratic projection based feature extraction framework , where a set of"}
{"subject": "math:arxiv_157330", "predicate": "proves", "object": "a global nucleon - nucleus optical potential for elastic scattering has been produced which replicat"}
{"subject": "math:arxiv_157333", "predicate": "proves", "object": "the `` orthodox theory '' of a single electron double junction is dealt with . \n it is shown that th"}
{"subject": "math:arxiv_157343", "predicate": "proves", "object": "we compute the conserved quantities of the four - dimensional kerr - newman - ds ( knds ) black hole"}
{"subject": "math:arxiv_157344", "predicate": "proves", "object": "the hodge conjecture is equivalent to a statement about conditions under which a complex vector bund"}
{"subject": "math:arxiv_157379", "predicate": "proves", "object": "we discuss analytical approximation schemes for the dynamics of diluted spin models . \n the original"}
{"subject": "math:arxiv_157389", "predicate": "proves", "object": "a direct numerical algorithm for solving the time - nonlocal non - markovian master equation in the "}
{"subject": "math:arxiv_157403", "predicate": "proves", "object": "a general approach to anomaly in quantum field theory is newly formulated by use of the propagator t"}
{"subject": "math:arxiv_157406", "predicate": "proves", "object": "it is shown that there exists a twistor space on the @xmath0-fold connected sum of complex projectiv"}
{"subject": "math:arxiv_157433", "predicate": "proves", "object": "we deduce from poincar s ellipsoidal wavefronts a relativistic doppler - fizeau formula that is not "}
{"subject": "math:arxiv_157444", "predicate": "proves", "object": "we consider closed acylindrical surfaces in 3-manifolds and in knot and link complements , and show "}
{"subject": "math:arxiv_157455", "predicate": "proves", "object": "in creating his gravitational field equations einstein assumed without justification that inertial m"}
{"subject": "math:arxiv_157456", "predicate": "proves", "object": "by numerical simulation and variational analysis of the gross - pitaevskii equation we study the loc"}
{"subject": "math:arxiv_157462", "predicate": "proves", "object": "we consider a realization of the real grassmann manifold @xmath0 based on a particular flow defined "}
{"subject": "math:arxiv_157467", "predicate": "proves", "object": "a new model framework called realized conditional autoregressive expectile ( realized - care ) is pr"}
{"subject": "math:arxiv_157471", "predicate": "proves", "object": "the characteristics of dust matter in space - time models , admitting the existence of privilege coo"}
{"subject": "math:arxiv_157483", "predicate": "proves", "object": "in this paper we show that gerstenhaber brackets , bv operators and related master equations arise i"}
{"subject": "math:arxiv_157490", "predicate": "proves", "object": "in the present contribution , we study the landau - lifshitz - gilbert equation with two versions of"}
{"subject": "math:arxiv_157491", "predicate": "proves", "object": "using _ coalgebraic methods _ , we extend conway s theory of games to possibly _ non - terminating _"}
{"subject": "math:arxiv_157499", "predicate": "proves", "object": "the existence of a fundamental length ( or fundamental time ) has been conjecture in many contexts ."}
{"subject": "math:arxiv_157502", "predicate": "proves", "object": "by solving the bethe - goldstone equation , we have obtained the @xmath0 optical potential from the "}
{"subject": "math:arxiv_157508", "predicate": "proves", "object": "in this paper , we study local well - posedness for the navier - stokes equations with arbitrary ini"}
{"subject": "math:arxiv_157509", "predicate": "proves", "object": "we build a spherical halo model for galaxies using a general scalar  tensor theory of gravity in its"}
{"subject": "math:arxiv_157514", "predicate": "proves", "object": "scalar perturbation represented by the klein - gordon field equation of the system of black holes in"}
{"subject": "math:arxiv_157518", "predicate": "proves", "object": "bell s theorem has fascinated physicists and philosophers since his 1964 paper , which was written i"}
{"subject": "math:arxiv_157529", "predicate": "proves", "object": "we examine the role that the gap dependence of the pairing interaction plays in the gap equation for"}
{"subject": "math:arxiv_157538", "predicate": "proves", "object": "based on empirical market data , a stochastic volatility model is proposed with volatility driven by"}
{"subject": "math:arxiv_157541", "predicate": "proves", "object": "we present a new open source implementation in the sagemath computer algebra system of algorithms fo"}
{"subject": "math:arxiv_157545", "predicate": "proves", "object": "we summarize the results of including running coupling corrections into the nonlinear evolution equa"}
{"subject": "math:arxiv_157569", "predicate": "proves", "object": "although the cayley - dickson algebras are twisted group algebras , little attention has been paid t"}
{"subject": "math:arxiv_157576", "predicate": "proves", "object": "using the abstract cauchy - kowalewski theorem we prove that the @xmath0-family equation admits , lo"}
{"subject": "math:arxiv_157590", "predicate": "proves", "object": "we describe methods for computing the kummer function @xmath0 for small values of @xmath1 , with spe"}
{"subject": "math:arxiv_157594", "predicate": "proves", "object": "i review recent developments in finite temperature lattice qcd which are useful for the study of hea"}
{"subject": "math:arxiv_157596", "predicate": "proves", "object": "we determine hyperplanes in veronese spaces associated with projective spaces and polar spaces , and"}
{"subject": "math:arxiv_157631", "predicate": "proves", "object": "the solution to the problem of finding the minimum number of monochromatic triples @xmath0 with @xma"}
{"subject": "math:arxiv_157644", "predicate": "proves", "object": "we use contact fiber sums of open book decompositions to define an infinite hierarchy of filling obs"}
{"subject": "math:arxiv_157658", "predicate": "proves", "object": "the properties of a non - canonical 3d wigner quantum oscillator , whose position and momentum opera"}
{"subject": "math:arxiv_157662", "predicate": "proves", "object": "there are basically two interesting breeds of @xmath0 operads , those that detect loop spaces and th"}
{"subject": "math:arxiv_157696", "predicate": "proves", "object": "we derive a new class of exact solutions of einstein s equations providing a physically plausible hy"}
{"subject": "math:arxiv_157700", "predicate": "proves", "object": "we note that it is possible to construct a bond vertex model that displays @xmath0-state potts criti"}
{"subject": "math:arxiv_157734", "predicate": "proves", "object": "the influence of noise and of unruh effect on quantum prisoners dilemma is investigated both for ent"}
{"subject": "math:arxiv_157750", "predicate": "proves", "object": "we express the rules for forming quantum feedback networks using the stratonovich form of quantum st"}
{"subject": "math:arxiv_157757", "predicate": "proves", "object": "the electronic properties of carbon nanotubes are investigated in the presence of disorder and a mag"}
{"subject": "math:arxiv_157760", "predicate": "proves", "object": "using the ( nearly ) ricci - flat swiss - cheese metric of @xcite , in the context of a mobile space"}
{"subject": "math:arxiv_157762", "predicate": "proves", "object": "we use the maximal faces of the @xmath0-cluster complex of type @xmath1 introduced in @xcite to desc"}
{"subject": "math:arxiv_157771", "predicate": "proves", "object": "gravity is understood as a geometrization of spacetime . \n but spacetime is also the manifold of the"}
{"subject": "math:arxiv_157780", "predicate": "proves", "object": "we study the tensor structure of the category of finite dimensional modules of the restricted quantu"}
{"subject": "math:arxiv_157810", "predicate": "proves", "object": "we introduce a general purpose algorithm for rapidly computing certain types of oscillatory integral"}
{"subject": "math:arxiv_157813", "predicate": "proves", "object": "the diffusion limited aggregation model ( dla ) and the more general dielectric breakdown model ( db"}
{"subject": "math:arxiv_157823", "predicate": "proves", "object": "building on the symmetry classification of disordered fermions , we give a proof of the proposal by "}
{"subject": "math:arxiv_157824", "predicate": "proves", "object": "a confining , symmetry - preserving , dyson - schwinger equation treatment of a vector@xmath0vector "}
{"subject": "math:arxiv_157825", "predicate": "proves", "object": "we develop a simple and accurate method to solve fractional variational and fractional optimal contr"}
{"subject": "math:arxiv_157834", "predicate": "proves", "object": "we develop numerical methods for reaction - diffusion systems based on the equations of fluctuating "}
{"subject": "math:arxiv_157854", "predicate": "proves", "object": "we analytically solve the one - dimensional coupled gross - pitaevskii equations which govern the mo"}
{"subject": "math:arxiv_157861", "predicate": "proves", "object": "in this paper we study the problem of calculating the convex hull of certain affine algebraic variet"}
{"subject": "math:arxiv_157866", "predicate": "proves", "object": "we study hom - bialgebras and objects admitting coactions by hom - bialgebras . \n in particular , we"}
{"subject": "math:arxiv_157869", "predicate": "proves", "object": "we provide a new global small - gain theorem for feedback interconnections of monotone input - outpu"}
{"subject": "math:arxiv_157883", "predicate": "proves", "object": "we apply the mori - zwanzig projection operator formalism to obtain an expression for the frequency "}
{"subject": "math:arxiv_157885", "predicate": "proves", "object": "initial data for solutions of einstein s gravitational field equations can not be chosen freely : th"}
{"subject": "math:arxiv_157909", "predicate": "proves", "object": "we propose a piecewise - linear , time - stepping discontinuous galerkin method to solve numerically"}
{"subject": "math:arxiv_157928", "predicate": "proves", "object": "the writhe of a space curve fragment is considered for various boundary conditions . \n an expression"}
{"subject": "math:arxiv_157933", "predicate": "proves", "object": "a boolean formula in a conjunctive normal form is called a _ @xmath0-formula _ if every clause conta"}
{"subject": "math:arxiv_157964", "predicate": "proves", "object": "we study prime monomial algebras . \n our main result is that a prime finitely presented monomial alg"}
{"subject": "math:arxiv_157965", "predicate": "proves", "object": "we give the modification of formulas for @xmath0-broadening and energy loss which are necessary to c"}
{"subject": "math:arxiv_157966", "predicate": "proves", "object": "in this paper we give a natural condition for when a volumorphism on a riemannian manifold @xmath0 i"}
{"subject": "math:arxiv_157975", "predicate": "proves", "object": "we develop from first principles the coupled wave equations that describe polarization - sensitive p"}
{"subject": "math:arxiv_158017", "predicate": "proves", "object": "a universal description of particles with spins @xmath0 , transforming in @xmath1 , is developed by "}
{"subject": "math:arxiv_158029", "predicate": "proves", "object": "the boltzmann - langevin one - body model ( blob ) , is a novel one - body transport approach , base"}
{"subject": "math:arxiv_158031", "predicate": "proves", "object": "a new method for solving the configuration - space faddeev equations for elastic _ \n p - d _ scatter"}
{"subject": "math:arxiv_158045", "predicate": "proves", "object": "the aim of these notes is to provide a new proof of the mattila - melnikov - verdera theorem on the "}
{"subject": "math:arxiv_158055", "predicate": "proves", "object": "we present the complete set of analytical solutions of the geodesic equation in the general five - d"}
{"subject": "math:arxiv_158088", "predicate": "proves", "object": "for a classical elliptic pseudodifferential operator @xmath0 of order @xmath1 on a closed manifold @"}
{"subject": "math:arxiv_158117", "predicate": "proves", "object": "let @xmath0 be a closed orientable @xmath1-manifold with a genus two heegaard splitting @xmath2 and "}
{"subject": "math:arxiv_158126", "predicate": "proves", "object": "for the implicit systems of first order ordinary differential equations on the plane there is presen"}
{"subject": "math:arxiv_158135", "predicate": "proves", "object": "we prove a general criterion of spectral stability of multi - site breathers in the discrete klein \n"}
{"subject": "math:arxiv_158137", "predicate": "proves", "object": "_ moduli spaces _ are a geometer s obsession . \n a celebrated example in algebraic geometry is the s"}
{"subject": "math:arxiv_158138", "predicate": "proves", "object": "we give an eynard - orantin type _ \n topological recursion formula _ for the canonical euclidean vol"}
{"subject": "math:arxiv_158141", "predicate": "proves", "object": "the navier  stokes order hydrodynamic equations for a low density granular mixture obtained previous"}
{"subject": "math:arxiv_158180", "predicate": "proves", "object": "a boundary singularity is a singularity of a function on a manifold with boundary . \n the simple and"}
{"subject": "math:arxiv_158206", "predicate": "proves", "object": "we describe various structures of algebraic nature on the space of continuous valuations on convex s"}
{"subject": "math:arxiv_158212", "predicate": "proves", "object": "for a given dirichlet character @xmath0 , we prove central limit theorems for the series @xmath1 for"}
{"subject": "math:arxiv_158228", "predicate": "proves", "object": "general formalism of quantum field theory and addition theorem for bessel functions are applied to d"}
{"subject": "math:arxiv_158242", "predicate": "proves", "object": "we investigate the two - dimensional lattice gross  neveu model , using the domain - wall fermion fo"}
{"subject": "math:arxiv_158245", "predicate": "proves", "object": "warped 5-dimensional models , based on the original randall - sundrum geometry , have been extended "}
{"subject": "math:arxiv_158248", "predicate": "proves", "object": "we show that the curvature of nanomagnets can be used to induce chiral textures in the magnetization"}
{"subject": "math:arxiv_158270", "predicate": "proves", "object": "the notion of a `` point '' is essential to describe the topology of spacetime . despite this , a po"}
{"subject": "math:arxiv_158271", "predicate": "proves", "object": "the fusion coefficients from @xmath0 to @xmath1 play a key role in the definition of spin foam model"}
{"subject": "math:arxiv_158272", "predicate": "proves", "object": "the efficient control of electron spins is of crucial importance for spintronics , quantum metrology"}
{"subject": "math:arxiv_158273", "predicate": "proves", "object": "we study the fluctuations of standard thin accretion disks by linear analysis of the time - dependen"}
{"subject": "math:arxiv_158298", "predicate": "proves", "object": "the `` fixed point dirac operator '' and `` chirally improved fermions '' both use large numbers of "}
{"subject": "math:arxiv_158303", "predicate": "proves", "object": "a hybrid schwarz / multigrid method for spectral element solvers to the poisson equation in @xmath0 "}
{"subject": "math:arxiv_158327", "predicate": "proves", "object": "this paper presents a study on the physical limitations for radio frequency absorption in gold nanop"}
{"subject": "math:arxiv_158332", "predicate": "proves", "object": "we study the internal structure of a static and spherically symmetric neutron star in the framework "}
{"subject": "math:arxiv_158334", "predicate": "proves", "object": "the existence of a fundamental length ( or fundamental time ) has been conjectured in many contexts "}
{"subject": "math:arxiv_158342", "predicate": "proves", "object": "since the advent of quantum mechanics different approaches to find analytical solutions of the schrd"}
{"subject": "math:arxiv_158347", "predicate": "proves", "object": "an emissivity formula is derived using the generalised fermi - weizacker - williams method of virtua"}
{"subject": "math:arxiv_158352", "predicate": "proves", "object": "the casimir effect arises not only in the presence of material boundaries but also in space with non"}
{"subject": "math:arxiv_158356", "predicate": "proves", "object": "we discuss finite difference techniques for hyperbolic equations in non - trivial domains , as those"}
{"subject": "math:arxiv_158374", "predicate": "proves", "object": "maclane cohomology is an algebraic version of the topological hochschild cohomology . \n based on the"}
{"subject": "math:arxiv_158380", "predicate": "proves", "object": "we review the geometry of the moduli space of @xmath0 theories in four dimensions from the point of "}
{"subject": "math:arxiv_158407", "predicate": "proves", "object": "transmission probabilities of the scattering problem with a position dependent mass are studied . af"}
{"subject": "math:arxiv_158417", "predicate": "proves", "object": "we consider a specific type of nonlinear partial differential equations ( pde ) that appear in mathe"}
{"subject": "math:arxiv_158428", "predicate": "proves", "object": "the adaptive thouless - anderson - palmer equation is derived for inverse ising problems in the pres"}
{"subject": "math:arxiv_158439", "predicate": "proves", "object": "mathematical models involving switches  in the form of differential equations with discontinuities  "}
{"subject": "math:arxiv_158450", "predicate": "proves", "object": "we obtain a complete description of the moduli spaces of homogeneous metrics with strongly positive "}
{"subject": "math:arxiv_158451", "predicate": "proves", "object": "in a recent paper we have formulated a theory of non - relativistic quantum electrodynamics in the p"}
{"subject": "math:arxiv_158456", "predicate": "proves", "object": "let @xmath0 and @xmath1 be two @xmath2-dimensional smooth manifolds with boundary . \n suppose we glu"}
{"subject": "math:arxiv_158480", "predicate": "proves", "object": "with a state - of - the - art numerical method for solving the integral - differential equation of r"}
{"subject": "math:arxiv_158482", "predicate": "proves", "object": "an equivalent formulation of the gribov - zwanziger theory accounting for the gauge fixing ambiguity"}
{"subject": "math:arxiv_158484", "predicate": "proves", "object": "the 3-decomposition conjecture states that every connected cubic graph can be decomposed into a span"}
{"subject": "math:arxiv_158530", "predicate": "proves", "object": "this talk is a brief report on our results in high parton density qcd . \n the main goal of this talk"}
{"subject": "math:arxiv_158538", "predicate": "proves", "object": "we study the random metric space called the brownian plane , which is closely related to the brownia"}
{"subject": "math:arxiv_158539", "predicate": "proves", "object": "a new variational method , the principle of least radix economy , is formulated . \n the mathematical"}
{"subject": "math:arxiv_158542", "predicate": "proves", "object": "we study the focusing nonlinear schrdinger equation @xmath0 , @xmath1 , in the @xmath2-supercritical"}
{"subject": "math:arxiv_158547", "predicate": "proves", "object": "analytic formulae are presented for the two - loop perturbative qcd corrections to @xmath0 decay at "}
{"subject": "math:arxiv_158553", "predicate": "proves", "object": "nonlinear , multiplicative langevin equations for a complete set of slow variables in equilibrium sy"}
{"subject": "math:arxiv_158556", "predicate": "proves", "object": "we give a variational proof of the existence and uniqueness of a convex cap with the given upper bou"}
{"subject": "math:arxiv_158567", "predicate": "proves", "object": "we have studied a generalized three band crossing model in 2d , the generalized @xmath0 lattice , ra"}
{"subject": "math:arxiv_158568", "predicate": "proves", "object": "we summarize the main ideas of general relativity and lorentzian geometry , leading to a proof of th"}
{"subject": "math:arxiv_158579", "predicate": "proves", "object": "the matrix equations of the random - phase approximation ( rpa ) are derived for the point - couplin"}
{"subject": "math:arxiv_158588", "predicate": "proves", "object": "the tropical convex hull of a finite set of points in tropical projective space has a natural struct"}
{"subject": "math:arxiv_158592", "predicate": "proves", "object": "we present an algorithm for obtaining the post - newtonian expansion of the asymptotically flat solu"}
{"subject": "math:arxiv_158594", "predicate": "proves", "object": "we investigate the holographic entanglement entropy ( hee ) of a strip geometry in four dimensional "}
{"subject": "math:arxiv_158599", "predicate": "proves", "object": "we discuss the calculation of collective excitations in atomic clusters using the time - dependent l"}
{"subject": "math:arxiv_158600", "predicate": "proves", "object": "we deal with the distribution of @xmath0 points placed consecutively around the circle by a fixed an"}
{"subject": "math:arxiv_158616", "predicate": "proves", "object": "we found a new branch of solutions in freund  rubin type flux compactifications . \n the geometry of "}
{"subject": "math:arxiv_158633", "predicate": "proves", "object": "we prove that every 3-manifold possesses a @xmath0 , volume - preserving flow with no fixed points a"}
{"subject": "math:arxiv_158657", "predicate": "proves", "object": "we applied canonical transformation to water wave equation not only to remove cubic nonlinear terms "}
{"subject": "math:arxiv_158668", "predicate": "proves", "object": "on the basis of statistical mechanics of the q - ising model , we formulate the bayesian inference t"}
{"subject": "math:arxiv_158670", "predicate": "proves", "object": "the recent discovery by m. konacki of a `` hot jupiter '' in the hierarchical triple star system hd "}
{"subject": "math:arxiv_158672", "predicate": "proves", "object": "a fast and efficient numerical - analytical approach is proposed for modeling complex behaviour in t"}
{"subject": "math:arxiv_158673", "predicate": "proves", "object": "we construct the equation of state ( eos ) of nuclear matter using the relativistic mean field ( rmf"}
{"subject": "math:arxiv_158683", "predicate": "proves", "object": "we study topological structures of the sets @xmath0 and @xmath1 , where  @xmath2 is one special alge"}
{"subject": "math:arxiv_158696", "predicate": "proves", "object": "optimal prediction approximates the average solution of a large system of ordinary differential equa"}
{"subject": "math:arxiv_158702", "predicate": "proves", "object": "we extend several classical eigenvalue estimates for dirac operators on compact manifolds to noncomp"}
{"subject": "math:arxiv_158731", "predicate": "proves", "object": "the fick  jacobs equation has been widely studied , because of its applications in the diffusion and"}
{"subject": "math:arxiv_158744", "predicate": "proves", "object": "the relationships between the fundamental dynamics and diffraction phenomena in scattering from two "}
{"subject": "math:arxiv_158746", "predicate": "proves", "object": "we study the non - perturbative phenomena of dynamical mass generation and confinement by truncating"}
{"subject": "math:arxiv_158760", "predicate": "proves", "object": "using the canonical monte carlo simulation technique , we study a regge calculus model on triangulat"}
{"subject": "math:arxiv_158774", "predicate": "proves", "object": "a study is made of the nonlinear dynamics of dual pumped microresonator kerr frequency combs describ"}
{"subject": "math:arxiv_158784", "predicate": "proves", "object": "in the study of the periodic solutions of a @xmath0-equivariant dynamical system , the @xmath1 theor"}
{"subject": "math:arxiv_158788", "predicate": "proves", "object": "the hadwiger number @xmath0 of a graph @xmath1 is the largest integer @xmath2 for which the complete"}
{"subject": "math:arxiv_158789", "predicate": "proves", "object": "in this short communication we present an original way to couple the brownian motion and the heat eq"}
{"subject": "math:arxiv_158803", "predicate": "proves", "object": "fluctuation theorem(ft ) has been studied as far from equilibrium theorem , which relates the symmet"}
{"subject": "math:arxiv_158825", "predicate": "proves", "object": "we solve the linear advection  diffusion equation with a variable speed on a semi - infinite line . "}
{"subject": "math:arxiv_158858", "predicate": "proves", "object": "in this paper , we study the growth , in terms of the nevanlinna characteristic function , of meromo"}
{"subject": "math:arxiv_158864", "predicate": "proves", "object": "we present a criterion of reducibility of a zero curvature representation to a solvable subalgebra ,"}
{"subject": "math:arxiv_158882", "predicate": "proves", "object": "the setting of braided ribbon networks is used to present a general result in spin - networks embedd"}
{"subject": "math:arxiv_158918", "predicate": "proves", "object": "in this article , we study the mass spectrum of the baryon - antibaryon bound states @xmath0 , @xmat"}
{"subject": "math:arxiv_158925", "predicate": "proves", "object": "in this paper we shed new light on the ads / cft duality by interpreting the cft as the fourier spac"}
{"subject": "math:arxiv_158936", "predicate": "proves", "object": "the _ wmap _  mission has mapped the full sky to determine the geometry , content , and evolution of"}
{"subject": "math:arxiv_158943", "predicate": "proves", "object": "traveling wave solutions to kawahara equation ( ke ) , transmission line ( tl ) , and korteweg - de "}
{"subject": "math:arxiv_158945", "predicate": "proves", "object": "we study the navier - stokes equations governing the motion of an isentropic compressible fluid in t"}
{"subject": "math:arxiv_158973", "predicate": "proves", "object": "there are many instances in nature where geometry of the system that sustains chemical reactions is "}
{"subject": "math:arxiv_158984", "predicate": "proves", "object": "we determine the critical equation of state of the three - dimensional @xmath0 universality class , "}
{"subject": "math:arxiv_158993", "predicate": "proves", "object": "we study a simple model of conducting polymers in which a single electron propagates through a rando"}
{"subject": "math:arxiv_159000", "predicate": "proves", "object": "we propose formulae for computing the phase space integrals of @xmath0 and @xmath1 processes with ma"}
{"subject": "math:arxiv_159006", "predicate": "proves", "object": "we study the geodesic flow on the unit tangent bundle of a rank one manifold and we give conditions "}
{"subject": "math:arxiv_159009", "predicate": "proves", "object": "effects of disorder on electron - doped iron pnictides are investigated systematically based on self"}
{"subject": "math:arxiv_159010", "predicate": "proves", "object": "we prove the 0-(co)homology part of the conjecture on the cup - products on tangent cohomology in th"}
{"subject": "math:arxiv_159020", "predicate": "proves", "object": "we make use of a well - know deformation of the poincar lie algebra in @xmath0 dimensions ( @xmath1 "}
{"subject": "math:arxiv_159038", "predicate": "proves", "object": "we prove the existence of infinite energy global solutions of the cubic wave equation in dimension g"}
{"subject": "math:arxiv_159044", "predicate": "proves", "object": "the markov chain tree theorem is extended to the max algebra and possible applications to ranking pr"}
{"subject": "math:arxiv_159047", "predicate": "proves", "object": "dynamical chiral symmetry breaking ( dcsb ) is one of the keystones of low - energy hadronic phenome"}
{"subject": "math:arxiv_159074", "predicate": "proves", "object": "the fourth moment theorem provides error bounds of the order @xmath0 in the central limit theorem fo"}
{"subject": "math:arxiv_159108", "predicate": "proves", "object": "we consider the quasi - de sitter geometry of the inflationary universe . \n we calculate the energy "}
{"subject": "math:arxiv_159116", "predicate": "proves", "object": "we obtain limit theorems for a class of nonlinear discrete - time processes @xmath0 called the @xmat"}
{"subject": "math:arxiv_159121", "predicate": "proves", "object": "we show that the well - known hastings - mcleod solution to the second painlev equation is pole - fr"}
{"subject": "math:arxiv_159122", "predicate": "proves", "object": "we prove that the only global strong solution of the periodic rod equation vanishing in at least one"}
{"subject": "math:arxiv_159123", "predicate": "proves", "object": "the nonequilibrium work fluctuation theorem provides the way for calculations of ( equilibrium ) fre"}
{"subject": "math:arxiv_159125", "predicate": "proves", "object": "two - dimensional monolayers of si@xmath0c@xmath1 have stable honeycomb structures and charge carrie"}
{"subject": "math:arxiv_159132", "predicate": "proves", "object": "this paper demonstrates that a computer aided perturbation theory can easily be realized by use of a"}
{"subject": "math:arxiv_159140", "predicate": "proves", "object": "the stiff equation of state ( eos ) giving the neutron - star mass of @xmath0 suggests the existence"}
{"subject": "math:arxiv_159144", "predicate": "proves", "object": "we present a general formulation to suppress pure dephasing by multipulse control . \n the formula is"}
{"subject": "math:arxiv_159149", "predicate": "proves", "object": "in this talk i review the recent construction of a new family of classical bps solutions of type iib"}
{"subject": "math:arxiv_159156", "predicate": "proves", "object": "we consider a dynamical membrane world in a space - time with scalar bulk matter described by domain"}
{"subject": "math:arxiv_159204", "predicate": "proves", "object": "i announce a solution of the conjecture about the measure of periodic points for planar billiard tab"}
{"subject": "math:arxiv_159213", "predicate": "proves", "object": "we present a class of three - dimensional solitary waves solutions of the gross - pitaevskii ( gp ) "}
{"subject": "math:arxiv_159228", "predicate": "proves", "object": "we show that the critical charge for the dirac excitations in gapless graphene depends on the spatia"}
{"subject": "math:arxiv_159259", "predicate": "proves", "object": "we discuss a specific entanglement distillation scheme under the constraint of finite samples of ent"}
{"subject": "math:arxiv_159274", "predicate": "proves", "object": "at intermediate energies it appears advantageous to work without partial wave decomposition and use "}
{"subject": "math:arxiv_159281", "predicate": "proves", "object": "we have studied the scalar @xmath0-model in the symmetric phase and the non  compact @xmath1 gauge t"}
{"subject": "math:arxiv_159282", "predicate": "proves", "object": "we consider position measurements using the cross - correlated output of two tunnel junction positio"}
{"subject": "math:arxiv_159287", "predicate": "proves", "object": "the sets of charged - lepton ( @xmath0 ) and quark ( @xmath1 ) masses may be parametrized in a @xmat"}
{"subject": "math:arxiv_159289", "predicate": "proves", "object": "the main result is a wall crossing formula for central projections defined on submanifolds of a real"}
{"subject": "math:arxiv_159295", "predicate": "proves", "object": "one surveys here a few nonlinear diffusion models in image restoration and denoising with main empha"}
{"subject": "math:arxiv_159309", "predicate": "proves", "object": "in this paper we consider different operators acting on clifford algebras . \n we consider reynolds o"}
{"subject": "math:arxiv_159312", "predicate": "proves", "object": "in this paper we extend and prove in detail the finite rank theorem for connection matrices of graph"}
{"subject": "math:arxiv_159320", "predicate": "proves", "object": "the zaller theory of opinion formation is reformulated with one free parameter @xmath0 , which measu"}
{"subject": "math:arxiv_159341", "predicate": "proves", "object": "solving the bkp equation and comparing with the structure function of hadron for deep inelastic scat"}
{"subject": "math:arxiv_159346", "predicate": "proves", "object": "we derive the hydrodynamic equations of motion of solid and supersolid @xmath0he , that describe the"}
{"subject": "math:arxiv_159397", "predicate": "proves", "object": "we study minimal surfaces which arise in wetting and capillarity phenomena . using conformal coordin"}
{"subject": "math:arxiv_159411", "predicate": "proves", "object": "we extend the validity of hardy s nonlocality without inequalities proof to cover the case of specia"}
{"subject": "math:arxiv_159415", "predicate": "proves", "object": "in der funktionentheorie der einheitskreissscheibe @xmath0 spielt die hyperbolische geometrie eine z"}
{"subject": "math:arxiv_159424", "predicate": "proves", "object": "the perturbative stability of catenoidal soap films formed between parallel , equal radii , coaxial "}
{"subject": "math:arxiv_159460", "predicate": "proves", "object": "in this paper we study properties of solutions to stochastic differential equations with sobolev dif"}
{"subject": "math:arxiv_159465", "predicate": "proves", "object": "we explore leibniz s understanding of the differential calculus , and argue that his methods were mo"}
{"subject": "math:arxiv_159479", "predicate": "proves", "object": "the second  hierarchy is defined as the hierarchy of ordinary differential equations obtained by sim"}
{"subject": "math:arxiv_159509", "predicate": "proves", "object": "we provide an explicit formula for the toric @xmath0-contribution of each cubical shelling component"}
{"subject": "math:arxiv_159523", "predicate": "proves", "object": "smoothness of generalized solutions for higher - order elliptic equations with nonlocal boundary con"}
{"subject": "math:arxiv_159530", "predicate": "proves", "object": "we introduce a new method , allowing to describe slowly time - dependent langevin equations through "}
{"subject": "math:arxiv_159541", "predicate": "proves", "object": "a novel douglas alternating direction implicit ( adi ) method is proposed in this work to solve a tw"}
{"subject": "math:arxiv_159548", "predicate": "proves", "object": "it is demonstrated that , in the framework of the orbit method , a simple and damped harmonic oscill"}
{"subject": "math:arxiv_159560", "predicate": "proves", "object": "a longstanding conjecture by belinskii , lifshitz , and khalatnikov that the singularity in generic "}
{"subject": "math:arxiv_159575", "predicate": "proves", "object": "an open book decomposition of a 3-manifold @xmath0 induces a heegaard splitting for @xmath0 , and th"}
{"subject": "math:arxiv_159578", "predicate": "proves", "object": "the quantum - classical liouville equation offers a rigorous approach to nonadiabatic quantum dynami"}
{"subject": "math:arxiv_159615", "predicate": "proves", "object": "the tunneling between the laughlin state and its quasihole excitations are studied by using the jack"}
{"subject": "math:arxiv_159621", "predicate": "proves", "object": "the quantum bouncer ( qb ) concept is a known qm textbook example of confined particle , namely , a "}
{"subject": "math:arxiv_159622", "predicate": "proves", "object": "the congruence lattices of all algebras defined on a fixed finite set @xmath0 ordered by inclusion f"}
{"subject": "math:arxiv_159627", "predicate": "proves", "object": "we show that in any triangulated 3-manifold , every index @xmath0 topologically minimal surface can "}
{"subject": "math:arxiv_159634", "predicate": "proves", "object": "we revisit the asymptotically anti de sitter spacetimes in three dimensions . using the conformal - "}
{"subject": "math:arxiv_159638", "predicate": "proves", "object": "we investigate the dynamics of spatially homogeneous solutions of the einstein - vlasov equations wi"}
{"subject": "math:arxiv_159652", "predicate": "proves", "object": "in a previous paper [ j. chem . \n phys . * 121 * 4501 ( 2004 ) ] a unique bipolar decomposition , @x"}
{"subject": "math:arxiv_159658", "predicate": "proves", "object": "we theoretically study the spin - polarized transport through a single - molecule magnet , which is "}
{"subject": "math:arxiv_159669", "predicate": "proves", "object": "in the present paper , we propose a complex short pulse equation and a coupled complex short equatio"}
{"subject": "math:arxiv_159671", "predicate": "proves", "object": "let @xmath0 be a genus @xmath1 superelliptic curve , @xmath2 its field of moduli , and @xmath3 the m"}
{"subject": "math:arxiv_159672", "predicate": "proves", "object": "we numerically solve the massless test scalar field equation on the space - time background of boson"}
{"subject": "math:arxiv_159674", "predicate": "proves", "object": "the @xmath0 conjecture of hatayama et al . \n asserts the equality between the one - dimensional conf"}
{"subject": "math:arxiv_159699", "predicate": "proves", "object": "we have generalized a method for the numerical solution of hyperbolic systems of equations using a d"}
{"subject": "math:arxiv_159721", "predicate": "proves", "object": "at first , the aim of this work is to extend benot s theorem for the generic existence of `` canards"}
{"subject": "math:arxiv_159731", "predicate": "proves", "object": "the nonlinear dglap evolution equations with parton recombination corrections are used to dynamicall"}
{"subject": "math:arxiv_159755", "predicate": "proves", "object": "we provide universal formulae for the limiting stretching and bending energies of triangulated membr"}
{"subject": "math:arxiv_159785", "predicate": "proves", "object": "the operation of _ squaring _ ( coproduct followed by product ) in a combinatorial hopf algebra is s"}
{"subject": "math:arxiv_159788", "predicate": "proves", "object": "we prove a deletion - contraction formula for motivic feynman rules given by the classes of the affi"}
{"subject": "math:arxiv_159802", "predicate": "proves", "object": "we overview applications exponential asymptotics and analyzable function theory to difference equati"}
{"subject": "math:arxiv_159804", "predicate": "proves", "object": "we define the combinatorial dirichlet - to - neumann operator and establish a gluing formula for det"}
{"subject": "math:arxiv_159811", "predicate": "proves", "object": "linear stochastic transport and continuity equations with drift in critical @xmath0 spaces are consi"}
{"subject": "math:arxiv_159813", "predicate": "proves", "object": "we show that the category of poisson manifolds and poisson maps , the category of symplectic microgr"}
{"subject": "math:arxiv_159826", "predicate": "proves", "object": "the convergence of polyhomogeneous expansions of zero - rest - mass fields in asymptotically flat sp"}
{"subject": "math:arxiv_159901", "predicate": "proves", "object": "in this study , we consider the problem of geometry of curved jets . we work with a simplified two -"}
{"subject": "math:arxiv_159902", "predicate": "proves", "object": "it is well known that the two - dimensional ( 2d ) nonlinear schrdinger equation ( nlse ) with the c"}
{"subject": "math:arxiv_159926", "predicate": "proves", "object": "we derive and employ a semi - classical langevin equation obtained from path - integrals to describe"}
{"subject": "math:arxiv_159945", "predicate": "proves", "object": "mode - locking regions ( resonance tongues ) formed by border - collision bifurcations of piecewise "}
{"subject": "math:arxiv_159957", "predicate": "proves", "object": "in recent years moment - closure approximations ( ma ) of the chemical master equation have become a"}
{"subject": "math:arxiv_159959", "predicate": "proves", "object": "we develop a method to solve the bogoliubov de gennes equation for superconductors self - consistent"}
{"subject": "math:arxiv_159981", "predicate": "proves", "object": "in this paper , we present theorems specifying the critical values for series associated with debts "}
{"subject": "math:arxiv_159986", "predicate": "proves", "object": "we give another proof of a theorem of h.  kajiura , k.  saito , and a.  takahashi @xcite based on th"}
{"subject": "math:arxiv_159988", "predicate": "proves", "object": "in principle a 1d array of nearest - neighbour linked qubits is compatible with fault tolerant quant"}
{"subject": "math:arxiv_159992", "predicate": "proves", "object": "we theoretically show that intriguing features of coherent many - body physics can be observed in el"}
{"subject": "math:arxiv_160004", "predicate": "proves", "object": "we study the volume of extrinsic balls and the capacity of extrinsic annuli in minimal submanifolds "}
{"subject": "math:arxiv_160020", "predicate": "proves", "object": "the maximal minors of a @xmath0-matrix of univariate polynomials of degree @xmath1 with indeterminat"}
{"subject": "math:arxiv_160035", "predicate": "proves", "object": "we calculate the bound state properties of stoponium using lattice formulation of nonrelativistic ef"}
{"subject": "math:arxiv_160057", "predicate": "proves", "object": "we formulate the nonlocal njl model with a momentum dependent constituent quark mass and calculate p"}
{"subject": "math:arxiv_160059", "predicate": "proves", "object": "it was conjectured by m. glasser and s. davison and later proved by a. eremenko that the certain ani"}
{"subject": "math:arxiv_160068", "predicate": "proves", "object": "for two variable real analytic function germs we compare the blow - analytic equivalence in the sens"}
{"subject": "math:arxiv_160089", "predicate": "proves", "object": "in probabilistic game structures , probabilistic alternating simulation ( pa - simulation ) relation"}
{"subject": "math:arxiv_160091", "predicate": "proves", "object": "we produce the simple formula for the radius , @xmath0 , of a cold body : @xmath1 where @xmath2 , @x"}
{"subject": "math:arxiv_160114", "predicate": "proves", "object": "let @xmath0 be a von neumann algebra equipped with a faithful normal semi - finite trace @xmath1 and"}
{"subject": "math:arxiv_160131", "predicate": "proves", "object": "emergence of cooperation in self - centered individuals has been a major puzzle in the study of evol"}
{"subject": "math:arxiv_160132", "predicate": "proves", "object": "the evolution of a single mode of the electromagnetic field interacting with a squeezed bath in a ke"}
{"subject": "math:arxiv_160149", "predicate": "proves", "object": "we study the effects of very strong magnetic fields on the equation of state ( eos ) in multicompone"}
{"subject": "math:arxiv_160176", "predicate": "proves", "object": "we analyze the multi  time correlations of a laser  induced bose  einstein condensate . \n we use qua"}
{"subject": "math:arxiv_160178", "predicate": "proves", "object": "we present new periodic , kink - like and soliton - like travelling wave solutions to the hyperbolic"}
{"subject": "math:arxiv_160181", "predicate": "proves", "object": "the quark - meson coupling model due to guichon is formulated on the basis of the independent quark "}
{"subject": "math:arxiv_160217", "predicate": "proves", "object": "we prove a completeness result for a class of polynomial solutions of the wave equation called wave "}
{"subject": "math:arxiv_160238", "predicate": "proves", "object": "complex dynamical systems which are governed by anomalous diffusion often can be described by langev"}
{"subject": "math:arxiv_160264", "predicate": "proves", "object": "the general approach to classical unimolecular reaction rates due to thiele is revisited in light of"}
{"subject": "math:arxiv_160267", "predicate": "proves", "object": "we present a general method , based on a _ multiple - scale _ approach , for deriving the perturbati"}
{"subject": "math:arxiv_160276", "predicate": "proves", "object": "we compute the mutual information between finite intervals in two non - compact 2d cfts in the therm"}
{"subject": "math:arxiv_160295", "predicate": "proves", "object": "we have studied the impact of time - dependent learning capacities of players in the framework of sp"}
{"subject": "math:arxiv_160297", "predicate": "proves", "object": "we introduce a new functional @xmath0 on the space of conformal structures on an oriented projective"}
{"subject": "math:arxiv_160311", "predicate": "proves", "object": "we study focusing discrete nonlinear schrdinger equations and present a new variational existence pr"}
{"subject": "math:arxiv_160323", "predicate": "proves", "object": "it is shown that for large classes of posets @xmath0 and @xmath1 , the defining ideal @xmath2 of an "}
{"subject": "math:arxiv_160334", "predicate": "proves", "object": "we give a mathematically rigorous construction of the moduli space and vacuum geometry of a class of"}
{"subject": "math:arxiv_160339", "predicate": "proves", "object": "it is well known that incompressible turbulence is nonlocal in real space because sound speed is inf"}
{"subject": "math:arxiv_160366", "predicate": "proves", "object": "incremental sat and qbf solving potentially yields improvements when sequences of related formulas a"}
{"subject": "math:arxiv_160411", "predicate": "proves", "object": "it is demonstrated how the right hand sides of the lorentz transformation equations may be written ,"}
{"subject": "math:arxiv_160418", "predicate": "proves", "object": "quasi - equilibrium sequences of binary neutron stars are constructed for a variety of equations of "}
{"subject": "math:arxiv_160421", "predicate": "proves", "object": "the pygmy dipole resonance in neutron - rich nuclei is studied within the framework of the vlasov eq"}
{"subject": "math:arxiv_160426", "predicate": "proves", "object": "we examine what types of galaxies the conversion formula from dust infrared ( ir ) luminosity into t"}
{"subject": "math:arxiv_160427", "predicate": "proves", "object": "we calculate next - to - leading - order ( nlo ) corrections to exclusive processes in @xmath0 facto"}
{"subject": "math:arxiv_160429", "predicate": "proves", "object": "we discuss the consequences of a duality - invariant einstein - planck relation on the equation of s"}
{"subject": "math:arxiv_160443", "predicate": "proves", "object": "we investigate a spectrum of a fermion , which we call a quark , above the critical temperature of t"}
{"subject": "math:arxiv_160450", "predicate": "proves", "object": "we obtain the equation of state of interacting alpha matter and the critical temperature of bose - e"}
{"subject": "math:arxiv_160453", "predicate": "proves", "object": "if a knot @xmath0 in a closed , orientable 3-manifold @xmath1 has a bridge surface @xmath2 with dist"}
{"subject": "math:arxiv_160468", "predicate": "proves", "object": "recently , in an interesting work arxiv:1106.3972 a solution of the equations of motion of massive g"}
{"subject": "math:arxiv_160471", "predicate": "proves", "object": "we study the demographics of supermassive black holes ( smbhs ) in the local and high-_z _ universe "}
{"subject": "math:arxiv_160512", "predicate": "proves", "object": "we study the degeneracies between neutrino mass and dark energy as they manifest themselves in cosmo"}
{"subject": "math:arxiv_160517", "predicate": "proves", "object": "under proper hypotheses , we rigorously derive the plateau angle conditions at triple junctions of d"}
{"subject": "math:arxiv_160548", "predicate": "proves", "object": "a recently introduced systematic approach to derivations of the macroscopic dynamics from the underl"}
{"subject": "math:arxiv_160549", "predicate": "proves", "object": "non - markovian evolution of an open quantum system can be ` unraveled ' into pure state trajectorie"}
{"subject": "math:arxiv_160561", "predicate": "proves", "object": "closed timelike curves are among the most controversial features of modern physics . \n as legitimate"}
{"subject": "math:arxiv_160579", "predicate": "proves", "object": "this work examines the idea of applying the chapman - enskog ( ce ) method for approximating the sol"}
{"subject": "math:arxiv_160584", "predicate": "proves", "object": "we study the effect of nuclear equation of state on the r - mode instability of a rotating neutron s"}
{"subject": "math:arxiv_160587", "predicate": "proves", "object": "in this paper we show that a given set of lengths of closed geodesics , there are only finitely many"}
{"subject": "math:arxiv_160604", "predicate": "proves", "object": "* abstract * we show that an integro - differential equation model for pulse propagation in optical "}
{"subject": "math:arxiv_160613", "predicate": "proves", "object": "the lagrange - mesh method is a powerful method to solve eigenequations written in configuration spa"}
{"subject": "math:arxiv_160640", "predicate": "proves", "object": "interesting nonlinear generalization of both schrdinger s and klein - gordon s equations have been r"}
{"subject": "math:arxiv_160646", "predicate": "proves", "object": "we establish formulae for the part due to torsion of the equivariant @xmath0-homology of all the bia"}
{"subject": "math:arxiv_160655", "predicate": "proves", "object": "we discuss the gravitationally interacting system of a thick domain wall and a black hole . \n we num"}
{"subject": "math:arxiv_160659", "predicate": "proves", "object": "the functional equation for riemann s zeta function is studied , from which it is shown why all of t"}
{"subject": "math:arxiv_160685", "predicate": "proves", "object": "the purpose of this article is to give formulas for bloch - kato s exponential map and its dual for "}
{"subject": "math:arxiv_160702", "predicate": "proves", "object": "we theoretically study counterflow instability and turbulence in a spin-1 spinor bose  einstein cond"}
{"subject": "math:arxiv_160707", "predicate": "proves", "object": "renormalization group equations are derived for the case when both valley splitting and intervalley "}
{"subject": "math:arxiv_160738", "predicate": "proves", "object": "the chiral symmetry breaking properties of the tayler instability are discussed . \n effective amplit"}
{"subject": "math:arxiv_160756", "predicate": "proves", "object": "x.s . lin s original definition of twisted alexander knot polynomial is generalized for arbitrary fi"}
{"subject": "math:arxiv_160773", "predicate": "proves", "object": "motivated by genzel et al.s observations of high - redshift star - forming galaxies , containing clu"}
{"subject": "math:arxiv_160779", "predicate": "proves", "object": "recently a scheme has been proposed for generating the 2d rashba - type spin - orbit coupling ( soc "}
{"subject": "math:arxiv_160784", "predicate": "proves", "object": "in @xcite , as evidence for his conjecture in birational log geometry , kawamata constructed a famil"}
{"subject": "math:arxiv_160799", "predicate": "proves", "object": "higher homotopy van kampen theorems allow the computation as colimits of certain homotopical invaria"}
{"subject": "math:arxiv_160826", "predicate": "proves", "object": "we examine stochastic maps in the context of quantum optics . making use of the master equation , th"}
{"subject": "math:arxiv_160837", "predicate": "proves", "object": "we present a theoretical formulation of the coherent ultrafast nonlinear optical response of a stron"}
{"subject": "math:arxiv_160842", "predicate": "proves", "object": "we study a feedback stabilization problem for a first - order hyperbolic partial differential equati"}
{"subject": "math:arxiv_160849", "predicate": "proves", "object": "we study nonlocally coupled hodgkin - huxley equations with excitatory and inhibitory synaptic coupl"}
{"subject": "math:arxiv_160850", "predicate": "proves", "object": "this article studies the weak convergence and associated central limit theorem for blurring and nonb"}
{"subject": "math:arxiv_160876", "predicate": "proves", "object": "the low temperature solution of the exact master equation for an oscillator coupled to a linear pass"}
{"subject": "math:arxiv_160885", "predicate": "proves", "object": "while wave - packet solutions for relativistic wave equations are oftentimes thought to be approxima"}
{"subject": "math:arxiv_160890", "predicate": "proves", "object": "for a compact , orientable , irreducible @xmath0manifold with toroidal boundary that is not the prod"}
{"subject": "math:arxiv_160898", "predicate": "proves", "object": "the zero temperature relaxational dynamics of a particle in a short range correlated random potentia"}
{"subject": "math:arxiv_160904", "predicate": "proves", "object": "dynamics of many - particle systems with long - range interaction is collisionless and governed by t"}
{"subject": "math:arxiv_160905", "predicate": "proves", "object": "we suggest an operating scheme for the deliberate generation of spin - entangled electron pairs in a"}
{"subject": "math:arxiv_160908", "predicate": "proves", "object": "we study the groundstates of weakly interacting atomic bose gases under conditions of rapid rotation"}
{"subject": "math:arxiv_160917", "predicate": "proves", "object": "we introduce the quantum levy walk to study transport and decoherence in a quantum random model . we"}
{"subject": "math:arxiv_160926", "predicate": "proves", "object": "the shear viscosity of qed plasma at finite temperature and density is calculated by solving boltzma"}
{"subject": "math:arxiv_160934", "predicate": "proves", "object": "since gene regulatory systems contain sometimes only a small number of molecules , these systems are"}
{"subject": "math:arxiv_160937", "predicate": "proves", "object": "a simple visual representation of minkowski spacetime appropriate for a student with a background in"}
{"subject": "math:arxiv_160942", "predicate": "proves", "object": "in this paper , we consider signal interpolation of discrete - time signals which are decimated nonu"}
{"subject": "math:arxiv_160945", "predicate": "proves", "object": "a particle method for reproducing the phase space of collisionless stellar systems is described . \n "}
{"subject": "math:arxiv_160962", "predicate": "proves", "object": "i study the average deformation rate of an amorphous material submitted to an external uniform shear"}
{"subject": "math:arxiv_160969", "predicate": "proves", "object": "we present a theoretical formulation of the one - electron problem constrained on the surface of a c"}
{"subject": "math:arxiv_160977", "predicate": "proves", "object": "a new self - similar solution describing the dynamical condensation of a radiative gas is investigat"}
{"subject": "math:arxiv_160978", "predicate": "proves", "object": "we give stability and consistency results for higher order grnwald - type formulae used in the appro"}
{"subject": "math:arxiv_160979", "predicate": "proves", "object": "we use the computer algebra system _ grtensorii _ to examine invariants polynomial in the riemann te"}
{"subject": "math:arxiv_161006", "predicate": "proves", "object": "we calculate the equation of state of a quark system interacting through a phenomenological potentia"}
{"subject": "math:arxiv_161024", "predicate": "proves", "object": "in this paper we contribute to the generic theory of hamiltonians by proving that there is a @xmath0"}
{"subject": "math:arxiv_161030", "predicate": "proves", "object": "results are presented for spin - wave dispersions in geometrically frustrated stacked triangular ant"}
{"subject": "math:arxiv_161044", "predicate": "proves", "object": "the @xmath0 slice problem is a reformulation of the topological @xmath1dimensional surgery conjectur"}
{"subject": "math:arxiv_161058", "predicate": "proves", "object": "in this paper , we propose an incremental algorithm for computing cylindrical algebraic decompositio"}
{"subject": "math:arxiv_161066", "predicate": "proves", "object": "dynamical geometry , lattice - gas , nonequilibrium dynamics we present numerical results obtained u"}
{"subject": "math:arxiv_161068", "predicate": "proves", "object": "einstein field equations for anisotropic spheres are solved and exact interior solutions obtained . "}
{"subject": "math:arxiv_161069", "predicate": "proves", "object": "conjecturally , there are only finitely many heegaard floer l - space knots in @xmath0 of a given ge"}
{"subject": "math:arxiv_161083", "predicate": "proves", "object": "in this paper we study a question related to the classical erds \n ko  rado theorem , which states th"}
{"subject": "math:arxiv_161086", "predicate": "proves", "object": "we formulate an extended linear @xmath0 model of a quarkonia nonet and a tetraquark nonet as well as"}
{"subject": "math:arxiv_161098", "predicate": "proves", "object": "in order to investigate whether massive stars form similarly to their low - mass counterparts , we h"}
{"subject": "math:arxiv_161109", "predicate": "proves", "object": "in this paper we formulate and study an optimal switching problem under partial information . in our"}
{"subject": "math:arxiv_161133", "predicate": "proves", "object": "we consider scalar field theory on the @xmath0 de  sitter spacetime ( @xmath1 ) , which is locally i"}
{"subject": "math:arxiv_161140", "predicate": "proves", "object": "we consider axisymmetric relativistic jets with a toroidal magnetic field and an ultrarelativistic e"}
{"subject": "math:arxiv_161146", "predicate": "proves", "object": "we study minimal energy problems for strongly singular riesz kernels @xmath0 , where @xmath1 and @xm"}
{"subject": "math:arxiv_161159", "predicate": "proves", "object": "this paper is devoted to the investigation of modified chaplygin gas model in the context of solvabl"}
{"subject": "math:arxiv_161166", "predicate": "proves", "object": "we generalize fomin and zelevinsky s cluster algebras by allowing exchange polynomials to be arbitra"}
{"subject": "math:arxiv_161178", "predicate": "proves", "object": "we construct an invariant of parametrized generic real algebraic surfaces in @xmath0 which generaliz"}
{"subject": "math:arxiv_161190", "predicate": "proves", "object": "we introduce a community network model which exhibits scale - free property and study the evolutiona"}
{"subject": "math:arxiv_161192", "predicate": "proves", "object": "we give a brief account of the dyson - schwinger and faddeev - equation approach and its application"}
{"subject": "math:arxiv_161211", "predicate": "proves", "object": "the riccati formulation of the quasiclassical theory of nonequilibrium superconductors is developed "}
{"subject": "math:arxiv_161217", "predicate": "proves", "object": "we develop a large scale quantum master equation approach to describe dynamical processes of practic"}
{"subject": "math:arxiv_161225", "predicate": "proves", "object": "the kinoshita - lee - nauenberg ( kln ) theorem describes the fact that inclusive electromagnetic an"}
{"subject": "math:arxiv_161229", "predicate": "proves", "object": "we analyse the interior controllability problem for a non - local schrdinger equation involving the "}
{"subject": "math:arxiv_161277", "predicate": "proves", "object": "the high - order numerical solution of the non - linear shallow water equations ( and of hyperbolic "}
{"subject": "math:arxiv_161308", "predicate": "proves", "object": "we present a self - consistent mean - field model based on a two - component pauli - like equation t"}
{"subject": "math:arxiv_161321", "predicate": "proves", "object": "the set of matrices of given positive semidefinite rank is semialgebraic . in this paper \n we study "}
{"subject": "math:arxiv_161329", "predicate": "proves", "object": "an approximate formula has been derived for gain fluctuations in cascaded gaseous detectors such as "}
{"subject": "math:arxiv_161340", "predicate": "proves", "object": "we prove a comparison theorem for the isoperimetric profiles of simple closed curves evolving by the"}
{"subject": "math:arxiv_161360", "predicate": "proves", "object": "the _ ab initio _ full - potential linearized augmented plane - wave method explicitly designed for "}
{"subject": "math:arxiv_161363", "predicate": "proves", "object": "we study the jet quenching effect in heavy ion collisions , based on medium - induced splitting func"}
{"subject": "math:arxiv_161370", "predicate": "proves", "object": "in this paper one studies the distribution of log - returns ( tick - by - tick ) in the lisbon stock"}
{"subject": "math:arxiv_161372", "predicate": "proves", "object": "finite difference schemes are here solved by means of a linear matrix equation . \n the theoretical s"}
{"subject": "math:arxiv_161381", "predicate": "proves", "object": "in this paper , we begin constructing a new finite - dimensional topological quantum field theory ( "}
{"subject": "math:arxiv_161384", "predicate": "proves", "object": "in this paper , the exponential b - spline functions are used for the numerical solution of the adve"}
{"subject": "math:arxiv_161391", "predicate": "proves", "object": "we discuss a thin film evolution equation for a wetting evaporating liquid on a smooth solid substra"}
{"subject": "math:arxiv_161408", "predicate": "proves", "object": "the perturbation of the dromion of the davey - stewartson-1 equation is studied over the large time "}
{"subject": "math:arxiv_161415", "predicate": "proves", "object": "electrons colliding with spatially fixed ions in strong laser fields are investigated by solving the"}
{"subject": "math:arxiv_161421", "predicate": "proves", "object": "a _ conjugacy limit group _ is the limit of a sequence of conjugates of the positive diagonal cartan"}
{"subject": "math:arxiv_161426", "predicate": "proves", "object": "we consider systems of stochastic evolutionary equations of the type @xmath0 where @xmath1 is a non "}
{"subject": "math:arxiv_161432", "predicate": "proves", "object": "in this paper , we show how information geometry , the natural geometry of discrete probability dist"}
{"subject": "math:arxiv_161443", "predicate": "proves", "object": "solutions to the schrdinger equation are examined for a particle inside a cylindrical trap of a circ"}
{"subject": "math:arxiv_161452", "predicate": "proves", "object": "we investigate the possibility of constraining the dark energy equation of state by measuring the ra"}
{"subject": "math:arxiv_161456", "predicate": "proves", "object": "by using the rather stringent _ nonlinear _ second order slow  roll approximation , we reconsider th"}
{"subject": "math:arxiv_161464", "predicate": "proves", "object": "to comprehend the hierarchical organization of large integrated systems , we introduce the hierarchi"}
{"subject": "math:arxiv_161467", "predicate": "proves", "object": "a new algorithm for the symbolic computation of polynomial conserved densities for systems of nonlin"}
{"subject": "math:arxiv_161496", "predicate": "proves", "object": "we compare three methods to calculate the nucleon - nucleon t - matrix based on the three - dimensio"}
{"subject": "math:arxiv_161523", "predicate": "proves", "object": "starting from a langevin description of active particles that move with constant speed in infinite t"}
{"subject": "math:arxiv_161567", "predicate": "proves", "object": "algebraic theories , introduced in the 1960s by lawvere , are a pleasant approach to universal algeb"}
{"subject": "math:arxiv_161588", "predicate": "proves", "object": "using a multiple - scale asymptotic approach , we have derived the complex cubic ginzburg - landau e"}
{"subject": "math:arxiv_161591", "predicate": "proves", "object": "the product conjecture for the homological bieri - neumann - strebel - renz invariants is proved ove"}
{"subject": "math:arxiv_161595", "predicate": "proves", "object": "we use the schwinger - dyson equations in the presence of a thermal bath , in order to study chiral "}
{"subject": "math:arxiv_161607", "predicate": "proves", "object": "a geometry - based density functional theory is presented for mixtures of hard spheres , hard needle"}
{"subject": "math:arxiv_161608", "predicate": "proves", "object": "a numerical study of the evolution of a massless scalar field in the background of rotating black ho"}
{"subject": "math:arxiv_161612", "predicate": "proves", "object": "we construct , numerically , a solution of the su(2 ) bogomolny equations corresponding to a sheet o"}
{"subject": "math:arxiv_161622", "predicate": "proves", "object": "we demonstrate how a chiral soft pion theorem ( spt ) shields the scalar meson ground state isoscala"}
{"subject": "math:arxiv_161627", "predicate": "proves", "object": "real - time perturbation theory is formulated for complex scalar fields away from thermal equilibriu"}
{"subject": "math:arxiv_161646", "predicate": "proves", "object": "numerical simulations of the standard shallow water equations on a rotating sphere produce a mixture"}
{"subject": "math:arxiv_161653", "predicate": "proves", "object": "this paper introduces the foundations of the polynomial algebra and basic structures for algebraic g"}
{"subject": "math:arxiv_161666", "predicate": "proves", "object": "we start with the explicit solution , in terms of the lambert @xmath0 function , of the renormalizat"}
{"subject": "math:arxiv_161677", "predicate": "proves", "object": "we provide an equation of state for high density supernova matter by applying a momentum - dependent"}
{"subject": "math:arxiv_161696", "predicate": "proves", "object": "in this work we study the asymptotic distribution of eigenvalues in one - dimensional open sets . \n "}
{"subject": "math:arxiv_161708", "predicate": "proves", "object": "let @xmath0 be a commutative associative integrally closed @xmath1-algebra without zero divisors eff"}
{"subject": "math:arxiv_161719", "predicate": "proves", "object": "we revisit the eleven dimension planck scale , the physical scale of the eleventh dimension , the ph"}
{"subject": "math:arxiv_161739", "predicate": "proves", "object": "the nth relative kauffman bracket skein modules are defined and two theorems are given relating them"}
{"subject": "math:arxiv_161745", "predicate": "proves", "object": "thermalization of quark - gluon matter is studied with a transport equation that includes contributi"}
{"subject": "math:arxiv_161755", "predicate": "proves", "object": "in this article we consider asymptotically harmonic manifolds which are simply connected complete ri"}
{"subject": "math:arxiv_161765", "predicate": "proves", "object": "a periodically inhomogeneous schrdinger equation is considered . \n the inhomogeneity is reflected th"}
{"subject": "math:arxiv_161766", "predicate": "proves", "object": "a theory for the electromagnetic response of type - ii superconductors close beyond the critical sta"}
{"subject": "math:arxiv_161774", "predicate": "proves", "object": "let @xmath0 be a free product of torsion - free groups , and let @xmath1 $ ] be any element not conj"}
{"subject": "math:arxiv_161788", "predicate": "proves", "object": "solutions of the linearized einstein equations are found that describe a transversely confined beam "}
{"subject": "math:arxiv_161799", "predicate": "proves", "object": "we perform a calculation for the three body @xmath0 scattering amplitude by using the fixed center a"}
{"subject": "math:arxiv_161805", "predicate": "proves", "object": "the the mixed chen - lee - liu derivative nonlinear schrdinger equation ( cll - nls ) can be conside"}
{"subject": "math:arxiv_161816", "predicate": "proves", "object": "according to the hohenberg - kohn theorem , there is an invertible one - to - one relationship betwe"}
{"subject": "math:arxiv_161819", "predicate": "proves", "object": "a generalized - statistics variational principle for source separation is formulated by recourse to "}
{"subject": "math:arxiv_161820", "predicate": "proves", "object": "thermostats are dynamical equations used to model thermodynamic variables such as temperature and pr"}
{"subject": "math:arxiv_161848", "predicate": "proves", "object": "we formulate a linear response theory of the spin seebeck effect , i.e. , a spin voltage generation "}
{"subject": "math:arxiv_161872", "predicate": "proves", "object": "cyclotron resonance in graphene is studied with focus on many - body corrections to the resonance en"}
{"subject": "math:arxiv_161873", "predicate": "proves", "object": "we investigate the properties of cosmological distances in locally inhomogeneous universes with pres"}
{"subject": "math:arxiv_161880", "predicate": "proves", "object": "we prove three theorems about the use of a counting operator to study the spectrum of model hamilton"}
{"subject": "math:arxiv_161896", "predicate": "proves", "object": "motivated by the need to reason about hybrid systems , we study limits in categories of coalgebras w"}
{"subject": "math:arxiv_161910", "predicate": "proves", "object": "in this paper we consider a new nonlinear mathematical model for corneal topography formulated as tw"}
{"subject": "math:arxiv_161933", "predicate": "proves", "object": "after a brief history of ` cohomological physics ' , the batalin - vilkovisky  complex is given a re"}
{"subject": "math:arxiv_161942", "predicate": "proves", "object": "we consider the asymmetric formulation of quantum hypothesis testing , where two quantum hypotheses "}
{"subject": "math:arxiv_161944", "predicate": "proves", "object": "we investigate the light quarkonium spectrum using a covariant dyson - schwinger - bethe - salpeter "}
{"subject": "math:arxiv_161960", "predicate": "proves", "object": "sequential measurements on a single particle play an important role in experimental tests of the koc"}
{"subject": "math:arxiv_161968", "predicate": "proves", "object": "we study the equation of state ( eos ) for dense matter in the core of the compact star with hyperon"}
{"subject": "math:arxiv_161970", "predicate": "proves", "object": "a probabilistic framework is proposed for the optimization of efficient switched control strategies "}
{"subject": "math:arxiv_162012", "predicate": "proves", "object": "one - dimensional yang - mills equations are considered from a point of view of a class of nonlinear"}
{"subject": "math:arxiv_162022", "predicate": "proves", "object": "in sharp contrast to classical proof complexity we are currently short of lower bound techniques for"}
{"subject": "math:arxiv_162026", "predicate": "proves", "object": "we study the gauge dependence of the effective average action @xmath0 and newtonian gravitational co"}
{"subject": "math:arxiv_162030", "predicate": "proves", "object": "this paper is devoted to investigation of the quantum friedman - robertson - walker universe with ma"}
{"subject": "math:arxiv_162037", "predicate": "proves", "object": "the functional schrodinger equation is used to study the quantum collapse of a gravitating , spheric"}
{"subject": "math:arxiv_162040", "predicate": "proves", "object": "the purpose of this paper is introducing rigorous methods and formulas for bilateral counterparty ri"}
{"subject": "math:arxiv_162042", "predicate": "proves", "object": "we extend harmonic map techniques to the setting of more general differential equations in conformal"}
{"subject": "math:arxiv_162044", "predicate": "proves", "object": "we study the impact of the geometry of the broad line region ( blr ) on the expected absorption , th"}
{"subject": "math:arxiv_162054", "predicate": "proves", "object": "an alternative proof of factorization theorem for drell - yan process that works at operator level i"}
{"subject": "math:arxiv_162056", "predicate": "proves", "object": "we study the natural labeling of the one dimensional representations for ariki - koike algebras at r"}
{"subject": "math:arxiv_162067", "predicate": "proves", "object": "to investigate the formation mechanism of relativistic jets in active galactic nuclei and micro - qu"}
{"subject": "math:arxiv_162082", "predicate": "proves", "object": "the transport of excess electrons in liquid argon driven out of equilibrium by an applied electric f"}
{"subject": "math:arxiv_162085", "predicate": "proves", "object": "let @xmath0 be a finite dimensional complex reductive lie algebra and @xmath1 an invariant non degen"}
{"subject": "math:arxiv_162099", "predicate": "proves", "object": "a riemannian einstein solvmanifold ( possibly , any noncompact homogeneous einstein space ) is almos"}
{"subject": "math:arxiv_162117", "predicate": "proves", "object": "we prove that the brst complex of a topological conformal field theory is a homotopy gerstenhaber al"}
{"subject": "math:arxiv_162138", "predicate": "proves", "object": "in a companion paper ( jonsson and westman 2006 _ class . quantum grav . _ * 23 * 61 ) , a generaliz"}
{"subject": "math:arxiv_162139", "predicate": "proves", "object": "let @xmath0 be a graph manifold . \n we prove that fundamental groups of embedded incompressible surf"}
{"subject": "math:arxiv_162151", "predicate": "proves", "object": "algebraic decoding algorithms are commonly applied for the decoding of reed  solomon codes . \n their"}
{"subject": "math:arxiv_162163", "predicate": "proves", "object": "we introduce a new informational - theoretic formulation of the quantum measurement uncertainty rela"}
{"subject": "math:arxiv_162174", "predicate": "proves", "object": "in this paper we compute one - loop corrections to masses and couplings in the minimal supersymmetri"}
{"subject": "math:arxiv_162206", "predicate": "proves", "object": "by using different continuation methods , we unveil a wide region in the parameter space of the disc"}
{"subject": "math:arxiv_162207", "predicate": "proves", "object": "a matchbox manifold is a foliated space with totally disconnected transversals , and an equicontinuo"}
{"subject": "math:arxiv_162216", "predicate": "proves", "object": "in this paper , we construct and investigate two supersymmetric versions of the fokas  gelfand formu"}
{"subject": "math:arxiv_162228", "predicate": "proves", "object": "beginning with an effective field theory based upon meson exchange , the bethe - salpeter equation f"}
{"subject": "math:arxiv_162230", "predicate": "proves", "object": "a formula to investigate wave effect in multi - lens system is presented on the basis of path integr"}
{"subject": "math:arxiv_162234", "predicate": "proves", "object": "in this paper , we generalize the geometry of the product pseudo - riemannian manifold equipped with"}
{"subject": "math:arxiv_162245", "predicate": "proves", "object": "a new spectral type method for solving the one dimensional quantum - mechanical lippmann - schwinger"}
{"subject": "math:arxiv_162249", "predicate": "proves", "object": "in this review the basic properties of nonrotating and slowly rotating protoneutron stars in the rel"}
{"subject": "math:arxiv_162261", "predicate": "proves", "object": "we study the convective wave equation in two space dimension driven by spatially homogeneous gaussia"}
{"subject": "math:arxiv_162271", "predicate": "proves", "object": "the observation of neutrinos from supernova  1987a has confirmed the theoretical conjecture that the"}
{"subject": "math:arxiv_162276", "predicate": "proves", "object": "the hydrodynamic equation governing the homogeneous time evolution of the temperature in a model of "}
{"subject": "math:arxiv_162277", "predicate": "proves", "object": "let @xmath0 be a prime power . \n in this note we present a formulation for obtaining the known @xmat"}
{"subject": "math:arxiv_162302", "predicate": "proves", "object": "it is shown that properties of a discrete space - time geometry distinguish from properties of the r"}
{"subject": "math:arxiv_162336", "predicate": "proves", "object": "let @xmath0 be a real closed field . \n the pierce - birkhoff conjecture says that any piecewise poly"}
{"subject": "math:arxiv_162338", "predicate": "proves", "object": "we consider a class of backward stochastic differential equations ( ) driven by brownian motion and "}
{"subject": "math:arxiv_162347", "predicate": "proves", "object": "compact analytical formulae for qed radiative corrections in the processes of elastic @xmath0 scatte"}
{"subject": "math:arxiv_162369", "predicate": "proves", "object": "comb geometry , constituted of a backbone and fingers , is one of the most simple paradigm of a two "}
{"subject": "math:arxiv_162398", "predicate": "proves", "object": "ideal absorption describes a particular means of optimizing light - matter interactions with a host "}
{"subject": "math:arxiv_162426", "predicate": "proves", "object": "we investigate the validity and accuracy of weak - noise ( saddle - point or instanton ) approximati"}
{"subject": "math:arxiv_162427", "predicate": "proves", "object": "using dyson  schwinger equations within an approach developed by broadhurst and kreimer and the reno"}
{"subject": "math:arxiv_162428", "predicate": "proves", "object": "we compute the isgur - wise function using heavy quark effective theory formulated on the lattice . "}
{"subject": "math:arxiv_162466", "predicate": "proves", "object": "in this paper , by using bifurcation method , we successfully find the @xmath0 equation with osmosis"}
{"subject": "math:arxiv_162471", "predicate": "proves", "object": "we consider spacetimes with measurements of conformally invariant physical properties . then , apply"}
{"subject": "math:arxiv_162480", "predicate": "proves", "object": "we study how the vainshtein mechanism operates in the most general scalar - tensor theories with sec"}
{"subject": "math:arxiv_162505", "predicate": "proves", "object": "the linear stability analysis of the equations governing the evolution of a flat sand bed submitted "}
{"subject": "math:arxiv_162507", "predicate": "proves", "object": "this paper is concerned with the traveling wave solutions of delayed reaction - diffusion systems . "}
{"subject": "math:arxiv_162509", "predicate": "proves", "object": "in this paper a quantum stochastic integral representation theorem is obtained for unbounded regular"}
{"subject": "math:arxiv_162516", "predicate": "proves", "object": "a new method to investigate a possible time - dependence of the dark energy equation of state @xmath"}
{"subject": "math:arxiv_162521", "predicate": "proves", "object": "we present a detailed derivation of the master equation describing a general time - dependent quantu"}
{"subject": "math:arxiv_162539", "predicate": "proves", "object": "in this paper , we will prove the random homogenization of general coercive non - convex hamilton - "}
{"subject": "math:arxiv_162568", "predicate": "proves", "object": "we first demonstrate how two - dimensional sheets are incorporated in the formalism for planar struc"}
{"subject": "math:arxiv_162579", "predicate": "proves", "object": "we prove an additivity property for the normalized seiberg  witten invariants with respect to the un"}
{"subject": "math:arxiv_162588", "predicate": "proves", "object": "we present and analyze exact solutions of the einstein  maxwell equations in higher dimensions which"}
{"subject": "math:arxiv_162596", "predicate": "proves", "object": "we determine all composition - closed equational classes of boolean functions . \n these classes prov"}
{"subject": "math:arxiv_162613", "predicate": "proves", "object": "quantum optical systems , like trapped ions , are routinely described by master equations . the purp"}
{"subject": "math:arxiv_162616", "predicate": "proves", "object": "we present a systematic study of entire symmetric solutions @xmath0 of the vector allen - cahn equat"}
{"subject": "math:arxiv_162622", "predicate": "proves", "object": "integral symplectic 4manifolds may be described in terms of lefschetz fibrations . in this note \n we"}
{"subject": "math:arxiv_162634", "predicate": "proves", "object": "in ` entropic cosmology ' , instead of a cosmological constant @xmath0 , an extra driving term is ad"}
{"subject": "math:arxiv_162652", "predicate": "proves", "object": "in this article , we establish sufficient conditions for the regularity of solutions of navier - sto"}
{"subject": "math:arxiv_162653", "predicate": "proves", "object": "we consider the case of a cubic nonlinear schrdinger equation with an additional chaotic potential ,"}
{"subject": "math:arxiv_162662", "predicate": "proves", "object": "the solution of a radial schrdinger equation  for @xmath0 containing a nonlocal potential of the for"}
{"subject": "math:arxiv_162665", "predicate": "proves", "object": "in a broad range of applied magnetic fields and material parameters isolated magnetic skyrmions cond"}
{"subject": "math:arxiv_162667", "predicate": "proves", "object": "applying probabilistic techniques we study regularity properties of quantum master equations ( qmes "}
{"subject": "math:arxiv_162669", "predicate": "proves", "object": "massive renormalizable yang - mills theories in three dimensions are analysed within the algebraic r"}
{"subject": "math:arxiv_162690", "predicate": "proves", "object": "an heuristic proof of the riemman conjecture is proposed . \n it is based on the old idea of polya - "}
{"subject": "math:arxiv_162697", "predicate": "proves", "object": "in this paper we propose and analyze spectral - galerkin methods for the stokes eigenvalue problem b"}
{"subject": "math:arxiv_162702", "predicate": "proves", "object": "we examine relations among the parameters characterizing the phenomenological equation of state ( eo"}
{"subject": "math:arxiv_162722", "predicate": "proves", "object": "we conjecture an expression for the dimensions of the khovanov - rozansky homfly homology groups of "}
{"subject": "math:arxiv_162725", "predicate": "proves", "object": "we present a class of analytic solutions of non - relativistic fireball hydrodynamics for a fairly g"}
{"subject": "math:arxiv_162737", "predicate": "proves", "object": "we investigate the unitarity of three dimensional noncommutative scalar field theory in the lie alge"}
{"subject": "math:arxiv_162746", "predicate": "proves", "object": "as originally formulated , the generalized alignment index ( gali ) method of chaos detection has so"}
{"subject": "math:arxiv_162751", "predicate": "proves", "object": "we discuss and extend recent conjectures relating partial null limits of correlation functions of lo"}
{"subject": "math:arxiv_162756", "predicate": "proves", "object": "we obtain bargmann - michel - telegdi equations of motion of classical spinning particle using lagra"}
{"subject": "math:arxiv_162762", "predicate": "proves", "object": "using n - body simulations , we measure the power spectrum of the effective dark matter density fiel"}
{"subject": "math:arxiv_162775", "predicate": "proves", "object": "we investigate the unification scenario provided by the generalised chaplygin gas model ( a perfect "}
{"subject": "math:arxiv_162783", "predicate": "proves", "object": "we consider the numerical approximation of a general second order semi  linear parabolic stochastic "}
{"subject": "math:arxiv_162784", "predicate": "proves", "object": "a compact formula for the stress tensor inside a self - gravitating , triaxial ellipsoid in an arbit"}
{"subject": "math:arxiv_162794", "predicate": "proves", "object": "we present the crumpling transition in three - dimensional euclidian space of dynamically triangulat"}
{"subject": "math:arxiv_162801", "predicate": "proves", "object": "we give a generalization of yamaguchi \n yau s result to walcher s extended holomorphic anomaly equat"}
{"subject": "math:arxiv_162803", "predicate": "proves", "object": "we prove that the hilbert geometry of a convex set is bi - lipschitz equivalent to a normed vector s"}
{"subject": "math:arxiv_162807", "predicate": "proves", "object": "this paper presents a new non - associative algebra which is used to ( i ) show how the spectator ( "}
{"subject": "math:arxiv_162821", "predicate": "proves", "object": "the function @xmath0 , where @xmath1 denotes the lambert w function , is the solution to the equatio"}
{"subject": "math:arxiv_162842", "predicate": "proves", "object": "we present a mathematical formulation of a theory of language change . \n the theory is evolutionary "}
{"subject": "math:arxiv_162847", "predicate": "proves", "object": "nonlocal conservation laws are used to describe various realistic instances of crowd behaviors . \n f"}
{"subject": "math:arxiv_162850", "predicate": "proves", "object": "dispersive averaging effects are used to show that kdv equation with periodic boundary conditions po"}
{"subject": "math:arxiv_162857", "predicate": "proves", "object": "superconductivity is studied for a fermionic system with attractive four - body interaction . applyi"}
{"subject": "math:arxiv_162871", "predicate": "proves", "object": "in 1905 , einstein discovered the famous equation : @xmath0 , which means that the rest mass of a pa"}
{"subject": "math:arxiv_162875", "predicate": "proves", "object": "in this article , we present a state - of - the - art algorithm for solving the relativistic viscous"}
{"subject": "math:arxiv_162876", "predicate": "proves", "object": "we study a conjecture called `` linear rank conjecture '' recently raised in ( tsang _ et al . \n _ ,"}
{"subject": "math:arxiv_162881", "predicate": "proves", "object": "the 4d kerr geometry displays many wonderful relations with quantum world and , in particular , with"}
{"subject": "math:arxiv_162911", "predicate": "proves", "object": "we use analytical and numerical methods to investigate the equations for cohomogeneity one shrinking"}
{"subject": "math:arxiv_162924", "predicate": "proves", "object": "suppose that @xmath0 is a projective variety over an algebraically closed field of characteristic @x"}
{"subject": "math:arxiv_162947", "predicate": "proves", "object": "we consider here quark matter equation of state in a relativistic harmonic confinement model at zero"}
{"subject": "math:arxiv_162950", "predicate": "proves", "object": "in this work we perform the symmetry classification of the klein gordon equation in bianchi i spacet"}
{"subject": "math:arxiv_162963", "predicate": "proves", "object": "as an extension of the four - color theorem it is conjectured that every planar graph of odd - girth"}
{"subject": "math:arxiv_162967", "predicate": "proves", "object": "we present a method for computing optical absorption spectra by means of a bethe - salpeter equation"}
{"subject": "math:arxiv_162984", "predicate": "proves", "object": "to calculate the baryon asymmetry in the baryogenesis via leptogenesis scenario one usually uses bol"}
{"subject": "math:arxiv_162996", "predicate": "proves", "object": "accurate reconstruction of phylogenies remains a key challenge in evolutionary biology . \n most biol"}
{"subject": "math:arxiv_162998", "predicate": "proves", "object": "the dynamics of two variants of quantum fisher information under decoherence are investigated from a"}
{"subject": "math:arxiv_163046", "predicate": "proves", "object": "we present a method for solving the two - dimensional linearized collisionless boltzmann equation us"}
{"subject": "math:arxiv_163055", "predicate": "proves", "object": "we propose a new approach to the numerical solution of ergodic problems arising in the homogenizatio"}
{"subject": "math:arxiv_163070", "predicate": "proves", "object": "on locally conformally flat manifolds we describe a construction which maps generalised conformal ki"}
{"subject": "math:arxiv_163071", "predicate": "proves", "object": "we present a simple method for calculating the energies and the widths of quasiparticle resonant sta"}
{"subject": "math:arxiv_163103", "predicate": "proves", "object": "we prove that the genus polynomials of the graphs called _ \n iterated claws _ are real - rooted . \n "}
{"subject": "math:arxiv_163104", "predicate": "proves", "object": "simulating a quantum system is more efficient on a quantum computer than on a classical computer . \n"}
{"subject": "math:arxiv_163106", "predicate": "proves", "object": "we propose a variational superposed gaussian approximation ( vsga ) for dynamical solutions of lange"}
{"subject": "math:arxiv_163119", "predicate": "proves", "object": "the stack @xmath0 of stable curves and its coarse moduli space @xmath1 are defined over @xmath2 , an"}
{"subject": "math:arxiv_163124", "predicate": "proves", "object": "for a 3-manifold @xmath0 with boundary , we study the kauffman module with indeterminate equal to @x"}
{"subject": "math:arxiv_163128", "predicate": "proves", "object": "starting from trace formulae for the tunnelling splittings ( or decay rates ) analytically continued"}
{"subject": "math:arxiv_163169", "predicate": "proves", "object": "spectral triples over noncommutative principal @xmath0-bundles are studied , extending recent result"}
{"subject": "math:arxiv_163172", "predicate": "proves", "object": "the main purpose of this paper is the construction of the @xmath0-operator which acts in the tensor "}
{"subject": "math:arxiv_163185", "predicate": "proves", "object": "we provide a measure based topology for certain unions of @xmath0 rectifiable submanifolds of mixed "}
{"subject": "math:arxiv_163201", "predicate": "proves", "object": "we study the construction and classification of weakly bochner - flat ( wbf ) metrics ( i.e. , khler"}
{"subject": "math:arxiv_163219", "predicate": "proves", "object": "we consider social welfare functions that satisfy arrow s classic axioms of _ independence of irrele"}
{"subject": "math:arxiv_163224", "predicate": "proves", "object": "we revisit the long - standing conjecture that in unitary field theories , scale invariance implies "}
{"subject": "math:arxiv_163225", "predicate": "proves", "object": "in self - organizing networks , topology and dynamics coevolve in a continuous feedback , without ex"}
{"subject": "math:arxiv_163242", "predicate": "proves", "object": "in loop quantum cosmology , a difference equation for the wave function describes the evolution of a"}
{"subject": "math:arxiv_163273", "predicate": "proves", "object": "in this work , we use martingale theory to derive formulas for the expected decision time , error ra"}
{"subject": "math:arxiv_163276", "predicate": "proves", "object": "starting from the quantized version of maxwell s equations for the electromagnetic field in an arbit"}
{"subject": "math:arxiv_163288", "predicate": "proves", "object": "we study the possibility of probing dark energy behaviour using gravitational wave experiments like "}
{"subject": "math:arxiv_163300", "predicate": "proves", "object": "we study the large deviations principle for locally periodic stochastic differential equations with "}
{"subject": "math:arxiv_163304", "predicate": "proves", "object": "after introducing the formalism of the general space and time fractional schrdinger equation ,  we c"}
{"subject": "math:arxiv_163305", "predicate": "proves", "object": "we find that an equation of state for hot hadronic matter consisting of all baryons having @xmath0 g"}
{"subject": "math:arxiv_163321", "predicate": "proves", "object": "rayleigh - bnard convection is numerically simulated in two- and three - dimensions using a recently"}
{"subject": "math:arxiv_163324", "predicate": "proves", "object": "twisted inextensible strip , triangular buckling pattern , calculus of variations , boundary - value"}
{"subject": "math:arxiv_163331", "predicate": "proves", "object": "in complex algebraic geometry , the problem of enumerating plane elliptic curves of given degree wit"}
{"subject": "math:arxiv_163338", "predicate": "proves", "object": "in this paper , on the basis of the onsager  wilson theory of strong binary electrolyte solutions we"}
{"subject": "math:arxiv_163346", "predicate": "proves", "object": "the spaces of higher - order differential operators ( in dimension @xmath0 ) , which are modules ove"}
{"subject": "math:arxiv_163373", "predicate": "proves", "object": "following an earlier similar conjecture of kellendonk and putnam , giordano , putnam and skau conjec"}
{"subject": "math:arxiv_163376", "predicate": "proves", "object": "we study analytically the orbital stability of the standing waves with a peak - gausson profile for "}
{"subject": "math:arxiv_163387", "predicate": "proves", "object": "in this paper we construct the analogue of dedekind eta function for odd dimensional cy manifolds . "}
{"subject": "math:arxiv_163415", "predicate": "proves", "object": "we report about significant enhancements of the complex algebraic geometry theorem proving subsystem"}
{"subject": "math:arxiv_163420", "predicate": "proves", "object": "according to giroux , contact manifolds can be described as open books whose pages are stein manifol"}
{"subject": "math:arxiv_163433", "predicate": "proves", "object": "let @xmath0 be an infinite field . \n we prove that the right zero divisors of a three - dimensional "}
{"subject": "math:arxiv_163451", "predicate": "proves", "object": "let @xmath0 be a semisimple tensor category of modules over a quantum ortho - symplectic superalgebr"}
{"subject": "math:arxiv_163463", "predicate": "proves", "object": "in this paper we introduce the concept of a sliding shilnikov orbit for @xmath0d filippov systems . "}
{"subject": "math:arxiv_163468", "predicate": "proves", "object": "we put forward and analyze an explicit finite difference scheme for the camassa - holm shallow water"}
{"subject": "math:arxiv_163482", "predicate": "proves", "object": "a simple expression is derived for the band structure of a one - dimensional periodic potential in t"}
{"subject": "math:arxiv_163489", "predicate": "proves", "object": "we studied the statics and dynamics of elastic manifolds in disordered media with long - range corre"}
{"subject": "math:arxiv_163515", "predicate": "proves", "object": "we demonstrate the equivalence of a non  markovian evolution equation with a linear memory  coupling"}
{"subject": "math:arxiv_163524", "predicate": "proves", "object": "a two space dimensional active nonlinear nonlocal cochlear model is formulated in the time domain to"}
{"subject": "math:arxiv_163526", "predicate": "proves", "object": "in previous galactic dynamo theories of the origin of the magnetic field in our galaxy , the subject"}
{"subject": "math:arxiv_163533", "predicate": "proves", "object": "we prove the adiabatic theorem for quantum evolution without the traditional gap condition . \n all t"}
{"subject": "math:arxiv_163541", "predicate": "proves", "object": "we study the kerr - newman solutions of the einstein - maxwell equation in quintessence field around"}
{"subject": "math:arxiv_163550", "predicate": "proves", "object": "i present an argument , based on the topology of the universe , why there are three generations of f"}
{"subject": "math:arxiv_163567", "predicate": "proves", "object": "we develop the theory of versal deformations of dialgebras and describe a method for constructing a "}
{"subject": "math:arxiv_163580", "predicate": "proves", "object": "a class of exact solutions of the wheeler - dewitt equation for diagonal bianchi type ix cosmologies"}
{"subject": "math:arxiv_163587", "predicate": "proves", "object": "let @xmath0 be a hereditary algebra of dynkin type @xmath1 over a field @xmath2 and @xmath3 be the c"}
{"subject": "math:arxiv_163605", "predicate": "proves", "object": "in _ mathematical programming _ 2003 , gomory and johnson conjecture that the facets of the infinite"}
{"subject": "math:arxiv_163610", "predicate": "proves", "object": "we study the possibility of exploiting superpositions of coherent states to encode qubit . a compari"}
{"subject": "math:arxiv_163613", "predicate": "proves", "object": "we study theoretically the superconductivity in doped weyl semimetals with an inversion symmetry bas"}
{"subject": "math:arxiv_163617", "predicate": "proves", "object": "we give a formula on the rotation number of a sequence of primitive vectors , which is a generalizat"}
{"subject": "math:arxiv_163633", "predicate": "proves", "object": "this paper studies the reduced dynamics of the three - vortex problem from the point of view of lie "}
{"subject": "math:arxiv_163650", "predicate": "proves", "object": "based on a regularized volterra equation , two different approaches for numerical differentiation ar"}
{"subject": "math:arxiv_163661", "predicate": "proves", "object": "the standard proof of the equivalence of fourier type on @xmath0 and on the torus @xmath1 is usually"}
{"subject": "math:arxiv_163668", "predicate": "proves", "object": "we account for the origin of the laws of quantum probabilities in the de  broglie - bohm ( pilot wav"}
{"subject": "math:arxiv_163686", "predicate": "proves", "object": "we investigate the properties of the set of singularities of semiconcave solutions of hamilton - jac"}
{"subject": "math:arxiv_163690", "predicate": "proves", "object": "we propose here a new model of accelerating fronts , consisting of one equation with non - local dif"}
{"subject": "math:arxiv_163696", "predicate": "proves", "object": "given a universal horn formula of kleene algebra with hypotheses of the form @xmath0 , it is already"}
{"subject": "math:arxiv_163717", "predicate": "proves", "object": "we present the results of 3d high resolution calculations of the last inspiral stages and the final "}
{"subject": "math:arxiv_163721", "predicate": "proves", "object": "a new class of solutions for einstein s field equations representing a static spherically symmetric "}
{"subject": "math:arxiv_163769", "predicate": "proves", "object": "many problems in fluid modelling require the efficient solution of highly anisotropic elliptic parti"}
{"subject": "math:arxiv_163792", "predicate": "proves", "object": "we study numerically stabilized solutions of the two - dimensional schrdinger equation with a cubic "}
{"subject": "math:arxiv_163793", "predicate": "proves", "object": "we study a class of graph foliated spaces , or graph matchbox manifolds , initially constructed by k"}
{"subject": "math:arxiv_163801", "predicate": "proves", "object": "we discuss the relationship between the bulk - boundary correspondence in rehren s algebraic hologra"}
{"subject": "math:arxiv_163807", "predicate": "proves", "object": "we consider a system of two cubic - quintic non - linear schrdinger equations in two dimensions , co"}
{"subject": "math:arxiv_163820", "predicate": "proves", "object": "we study dynamical mass generation in pure yang - mills theory and report on a recently developed an"}
{"subject": "math:arxiv_163825", "predicate": "proves", "object": "we investigate the completeness and completions of the normed algebras @xmath0 for perfect , compact"}
{"subject": "math:arxiv_163843", "predicate": "proves", "object": "we discuss the time - dependent formulation of perturbation theory in the context of the interacting"}
{"subject": "math:arxiv_163845", "predicate": "proves", "object": "we show that if @xmath0 is a fell bundle over a locally compact group @xmath1 , then there is a natu"}
{"subject": "math:arxiv_163853", "predicate": "proves", "object": "tucker and ky fan s lemma are combinatorial analogs of the borsuk  ulam theorem ( but ) . in 1996 , "}
{"subject": "math:arxiv_163859", "predicate": "proves", "object": "we classify the @xmath0-dimensional lie algebras that can be endowed with an abelian complex structu"}
{"subject": "math:arxiv_163878", "predicate": "proves", "object": "we derive and solve by the spectral method the equations for a neutral system of ultra - relativisti"}
{"subject": "math:arxiv_163893", "predicate": "proves", "object": "the general expression for the magnetoresistance ( mr ) due to the lorentz force is derived by using"}
{"subject": "math:arxiv_163894", "predicate": "proves", "object": "a manifold which admits a reducible genus-@xmath0 heegaard splitting is one of the @xmath1-sphere , "}
{"subject": "math:arxiv_163902", "predicate": "proves", "object": "the partition function of a factor graph and the partition function of the dual factor graph are rel"}
{"subject": "math:arxiv_163905", "predicate": "proves", "object": "in part i the @xmath0-series of @xcite are adapted so that they give solutions for certain resonant "}
{"subject": "math:arxiv_163927", "predicate": "proves", "object": "an algorithm for generating optimal nonuniform grids for solving the two - body schrdinger equation "}
{"subject": "math:arxiv_163950", "predicate": "proves", "object": "a topology - intrinsic connection between the stabilities of fermi surfaces ( fss ) and topological "}
{"subject": "math:arxiv_163953", "predicate": "proves", "object": "we study the reaction front for the process @xmath0 in which the reagents move subdiffusively . we p"}
{"subject": "math:arxiv_163975", "predicate": "proves", "object": "we describe a novel fluctuating - surface current formulation of radiative heat transfer between bod"}
{"subject": "math:arxiv_163992", "predicate": "proves", "object": "quantum pumping in closed systems is considered . \n we explain that the kubo formula contains all th"}
{"subject": "math:arxiv_164016", "predicate": "proves", "object": "we consider a degenerate parametric oscillator whose cavity contains a two - level atom . applying t"}
{"subject": "math:arxiv_164053", "predicate": "proves", "object": "following an idea of ozawa , we give a new proof of kazhdan s property ( t ) for @xmath0 , by showin"}
{"subject": "math:arxiv_164060", "predicate": "proves", "object": "using rnyi-@xmath0 entropy to quantify bipartite entanglement , we prove monogamy of entanglement in"}
{"subject": "math:arxiv_164086", "predicate": "proves", "object": "according to the no - hair theorem , all astrophysical black holes are fully described by their mass"}
{"subject": "math:arxiv_164089", "predicate": "proves", "object": "in a previous paper , we showed that the orientable cover of the moduli space of real genus zero alg"}
{"subject": "math:arxiv_164100", "predicate": "proves", "object": "a hopf monoid ( in joyal s category of species ) is an algebraic structure akin to that of a hopf al"}
{"subject": "math:arxiv_164104", "predicate": "proves", "object": "self - similar solutions of the equation that describes spreading of a liquid layer due to intermole"}
{"subject": "math:arxiv_164117", "predicate": "proves", "object": "horn s conjecture @xcite , which given the spectra of two hermitian matrices describes the possible "}
{"subject": "math:arxiv_164118", "predicate": "proves", "object": "a very general local realistic theory of single @xmath0 mesons and of correlated @xmath1 pairs is fo"}
{"subject": "math:arxiv_164128", "predicate": "proves", "object": "we prove a biadjoint triangle theorem and its strict version , which are @xmath0-dimensional analogu"}
{"subject": "math:arxiv_164150", "predicate": "proves", "object": "we prove the bisognano - wichmann and cpt theorems for massive particles obeying braid group statist"}
{"subject": "math:arxiv_164156", "predicate": "proves", "object": "the surface impedance approach to the description of the thermal casimir effect in the case of real "}
{"subject": "math:arxiv_164157", "predicate": "proves", "object": "we prove the existence of mixing solutions of the incompressible porous media equation for all muska"}
{"subject": "math:arxiv_164188", "predicate": "proves", "object": "gauge invariant quintessence perturbations in the quintessence and cold dark matter ( @xmath0 ) mode"}
{"subject": "math:arxiv_164214", "predicate": "proves", "object": "it is shown that a quadratic gravitational lagrangian in the palatini formulation is able to capture"}
{"subject": "math:arxiv_164223", "predicate": "proves", "object": "we prove dynamical borel canteli lemmas for discrete time homogenous flows hitting a sequence of shr"}
{"subject": "math:arxiv_164231", "predicate": "proves", "object": "we deal with matveev complexity of compact orientable 3-manifolds represented via heegaard diagrams "}
{"subject": "math:arxiv_164235", "predicate": "proves", "object": "for @xmath0 , we present a generalized central limit theorem for @xmath1-stable random variables und"}
{"subject": "math:arxiv_164236", "predicate": "proves", "object": "we study the schrdinger equation on a flat euclidean cone @xmath0 of cross - sectional radius @xmath"}
{"subject": "math:arxiv_164249", "predicate": "proves", "object": "the tone hole geometry of a clarinet is optimized numerically . \n the instrument is modeled as a net"}
{"subject": "math:arxiv_164256", "predicate": "proves", "object": "we propose that a combination of the semiclassical approximation with monte carlo simulations can be"}
{"subject": "math:arxiv_164292", "predicate": "proves", "object": "we formulate a simple model for a gas of extended hadrons at zero chemical potential by taking inspi"}
{"subject": "math:arxiv_164294", "predicate": "proves", "object": "this article develops several main results for a general theory of homological algebra in categories"}
{"subject": "math:arxiv_164298", "predicate": "proves", "object": "in this paper we will investigate the effects of a noncommutative ( nc ) space - time on the dynamic"}
{"subject": "math:arxiv_164313", "predicate": "proves", "object": "classical and quantum scattering of a non - gaussian wave packet by a rectangular barrier is studied"}
{"subject": "math:arxiv_164327", "predicate": "proves", "object": "we present a recent definition of symmetry generating vector fields on manifolds equipped with a fir"}
{"subject": "math:arxiv_164343", "predicate": "proves", "object": "we find a class of non - supersymmetric multi - center solutions of the stu model of five - dimensio"}
{"subject": "math:arxiv_164368", "predicate": "proves", "object": "a conjecture by d. aldous , which can be formulated as a statement about the first nontrivial eigenv"}
{"subject": "math:arxiv_164382", "predicate": "proves", "object": "we propose new formulas for singular vectors in verma modules over the affine lie superalgebra @xmat"}
{"subject": "math:arxiv_164387", "predicate": "proves", "object": "three general models of dynamical interacting dark energy ( @xmath0-class ) are investigated in the "}
{"subject": "math:arxiv_164394", "predicate": "proves", "object": "the method of invariant grid ( mig ) is an iterative procedure for model reduction in chemical kinet"}
{"subject": "math:arxiv_164418", "predicate": "proves", "object": "it is shown that if physical space time were truly compact there would only be of the order of one s"}
{"subject": "math:arxiv_164426", "predicate": "proves", "object": "orbital motion of a body can be found from newtonian equation of motion . \n however , it is useful t"}
{"subject": "math:arxiv_164439", "predicate": "proves", "object": "benkart , sottile , and stroomer have completely characterized by knuth and dual knuth equivalence a"}
{"subject": "math:arxiv_164444", "predicate": "proves", "object": "we consider a  class of stochastic pdes of burgers type in spatial dimension @xmath0 , driven by spa"}
{"subject": "math:arxiv_164449", "predicate": "proves", "object": "using the recently introduced time - local formulation of the nonequilibrium cluster perturbation th"}
{"subject": "math:arxiv_164453", "predicate": "proves", "object": "we study the general theory of frobenius algebras with group actions . \n these structures arise when"}
{"subject": "math:arxiv_164458", "predicate": "proves", "object": "we compare and discuss the dependence of a polynomial truncation of the effective potential used to "}
{"subject": "math:arxiv_164459", "predicate": "proves", "object": "the autonomous differential equation in the title is derived in s.srinivasan  @xcite ( equation ( e "}
{"subject": "math:arxiv_164493", "predicate": "proves", "object": "in the yukawa model with two different mass scales the renormalization group equation is used to obt"}
{"subject": "math:arxiv_164531", "predicate": "proves", "object": "we explain and generalise row and column removal phenomena for schur algebras via isomorphisms betwe"}
{"subject": "math:arxiv_164551", "predicate": "proves", "object": "we study the geometry and the internal structure of the outflowing wind from the accretion disk of a"}
{"subject": "math:arxiv_164565", "predicate": "proves", "object": "the interacting dark energy model could propose a effective way to avoid the coincidence problem . i"}
{"subject": "math:arxiv_164567", "predicate": "proves", "object": "we consider the two - dimensional ( 2d ) flow in a flat free - slip surface that bounds a three - di"}
{"subject": "math:arxiv_164583", "predicate": "proves", "object": "= 0.6 cm    * abstract *    we present a slowly rotating black hole with phantom global monopole by "}
{"subject": "math:arxiv_164586", "predicate": "proves", "object": "in this paper we will show that two surfaces of the same genus and homology class in a simply connec"}
{"subject": "math:arxiv_164597", "predicate": "proves", "object": "in the present work , we introduce a discrete formulation of the nonlinear dirac equation in the for"}
{"subject": "math:arxiv_164599", "predicate": "proves", "object": "using steady , axisymmetric , ideal magnetohydrodynamics ( mhd ) we analyze relativistic outflows by"}
{"subject": "math:arxiv_164600", "predicate": "proves", "object": "we show that the parametrically driven nonlinear schrdinger equation has wide classes of travelling "}
{"subject": "math:arxiv_164617", "predicate": "proves", "object": "we present filtering equations for single shot parameter estimation using continuous quantum measure"}
{"subject": "math:arxiv_164628", "predicate": "proves", "object": "the inclusion of a @xmath0 term , today , in the relativistic field equations is consequence of the "}
{"subject": "math:arxiv_164637", "predicate": "proves", "object": "we discuss the effects of initial collision geometry and centrality bin definition on correlation an"}
{"subject": "math:arxiv_164656", "predicate": "proves", "object": "the unexpected and fascinating emergence of hyperbolic coxeter groups and lorentzian kac - moody alg"}
{"subject": "math:arxiv_164662", "predicate": "proves", "object": "using formal tools in computer science to describe games is an interesting problem . \n we give games"}
{"subject": "math:arxiv_164663", "predicate": "proves", "object": "similar to the berry conjecture of quantum chaos we consider elastic analogue which incorporates lon"}
{"subject": "math:arxiv_164674", "predicate": "proves", "object": "using muffin - tin orbital ( mto ) based _ n_mto - downfolding procedure within the framework of loc"}
{"subject": "math:arxiv_164682", "predicate": "proves", "object": "using the diagrammatic calculus for soergel bimodules developed by b. elias and m. khovanov , we sho"}
{"subject": "math:arxiv_164687", "predicate": "proves", "object": "approximate analytical formulae are derived for the pulse profile produced by small hot spots on a r"}
{"subject": "math:arxiv_164727", "predicate": "proves", "object": "in this paper , we consider a linearly charged dilatonic black holes and study their thermodynamical"}
{"subject": "math:arxiv_164736", "predicate": "proves", "object": "we investigate the scattering of fermions off walls in the presence of a magnetic field . \n we consi"}
{"subject": "math:arxiv_164748", "predicate": "proves", "object": "we present a pedagogical review of some of the methods employed in eulerian computational fluid dyna"}
{"subject": "math:arxiv_164752", "predicate": "proves", "object": "we construct exact initial data for closed cosmological models filled with regularly arranged black "}
{"subject": "math:arxiv_164765", "predicate": "proves", "object": "the possibility of using hexagonal structures in general and graphene in particular to emulate the d"}
{"subject": "math:arxiv_164767", "predicate": "proves", "object": "new fixed point results are presented for @xmath0 maps in extension type spaces .    [ theore]*theor"}
{"subject": "math:arxiv_164770", "predicate": "proves", "object": "type 0a string theory in the @xmath0 superconformal minimal model backgrounds , with background zz d"}
{"subject": "math:arxiv_164771", "predicate": "proves", "object": "the definition of partial differential equation ( pde ) models usually involves a set of parameters "}
{"subject": "math:arxiv_164783", "predicate": "proves", "object": "in the theory of quantum dynamical filtering , one of the biggest issues is that the underlying syst"}
{"subject": "math:arxiv_164789", "predicate": "proves", "object": "the conformal field equations are used to discuss the local existence of spherically symmetric solut"}
{"subject": "math:arxiv_164828", "predicate": "proves", "object": "we examine the ( 2 + 1)-dimensional dirac equation in a homogenous magnetic field under the non - re"}
{"subject": "math:arxiv_164837", "predicate": "proves", "object": "we use the jones - wenzl idempotents to construct a basis of the temperley - lieb algebra @xmath0 . "}
{"subject": "math:arxiv_164872", "predicate": "proves", "object": "we derive accurate semi - analytic formulae for the power spectra of two - field inflation assuming "}
{"subject": "math:arxiv_164873", "predicate": "proves", "object": "an anisotropic equation of state is proposed for accurate extrapolation of high - pressure shock hug"}
{"subject": "math:arxiv_164882", "predicate": "proves", "object": "we present a study of @xmath0 diffractive production in the direct photon process at hera based on t"}
{"subject": "math:arxiv_164893", "predicate": "proves", "object": "we present an extension of a previously developed method employing the formalism of the fractional d"}
{"subject": "math:arxiv_164896", "predicate": "proves", "object": "this current work is an extension to work previously done by the authors . \n the dynamics of a baby "}
{"subject": "math:arxiv_164902", "predicate": "proves", "object": "let @xmath0 . for @xmath1 and @xmath2 , we put @xmath3 . _ a projective flow _ is a solution to the "}
{"subject": "math:arxiv_164911", "predicate": "proves", "object": "we study the generalized kompaneets equation ( kinetic equation for the photon distribution function"}
{"subject": "math:arxiv_164935", "predicate": "proves", "object": "this note presents a discussion of the algebraic and combinatorial aspects of the theory of pure @xm"}
{"subject": "math:arxiv_164964", "predicate": "proves", "object": "this paper proposes a novel distributed event - triggered algorithmic solution to the multi - agent "}
{"subject": "math:arxiv_164967", "predicate": "proves", "object": "we prove a compactness and integral - representation theorem for sequences of families of lattice en"}
{"subject": "math:arxiv_164971", "predicate": "proves", "object": "we re - investigate the holographic superconductor in hyperscaling violation geometry by considering"}
{"subject": "math:arxiv_164975", "predicate": "proves", "object": "burke s theorem can be seen as a fixed - point result for an exponential single - server queue ; whe"}
{"subject": "math:arxiv_164977", "predicate": "proves", "object": "in the approach of the effective field theory of modified gravity , we derive the equations of motio"}
{"subject": "math:arxiv_164982", "predicate": "proves", "object": "the equation of state of a homogeneous two - dimensional bose gas is calculated using quantum monte "}
{"subject": "math:arxiv_164986", "predicate": "proves", "object": "the spatiotemporal oscillation patterns of the proteins mind and mine are used by the bacterium _ e."}
{"subject": "math:arxiv_165002", "predicate": "proves", "object": "the manifold which admits a genus-@xmath0 reducible heegaard splitting is one of the @xmath1-sphere "}
{"subject": "math:arxiv_165031", "predicate": "proves", "object": "in this paper we propose a numerical method to solve the cauchy problem based on the viscous shallow"}
{"subject": "math:arxiv_165099", "predicate": "proves", "object": "it is conjectured that a hyperbolic knot admits at most three dehn surgeries which yield closed @xma"}
{"subject": "math:arxiv_165104", "predicate": "proves", "object": "lagrangian floer homology in a general case has been constructed by fukaya , oh , ohta and ono , whe"}
{"subject": "math:arxiv_165110", "predicate": "proves", "object": "an exact solution of the homogeneous wave equation , which was found previously , is treated from th"}
{"subject": "math:arxiv_165123", "predicate": "proves", "object": "the renormalization group equation describing the evolution of the metric of the nonlinear sigma mod"}
{"subject": "math:arxiv_165142", "predicate": "proves", "object": "assuming the space dimension is not constant but decreases during the expansion of the universe , we"}
{"subject": "math:arxiv_165151", "predicate": "proves", "object": "in the heavy quark limit , a doubly heavy baryon is regarded as composed of a heavy diquark and a li"}
{"subject": "math:arxiv_165157", "predicate": "proves", "object": "a new numerical framework , based on the use of a simple first order strongly hyperbolic evolution e"}
{"subject": "math:arxiv_165158", "predicate": "proves", "object": "we compute the eells - kuiper invariant of the berger manifold  @xmath0 and determine that it is dif"}
{"subject": "math:arxiv_165161", "predicate": "proves", "object": "we derive the continuum equations and boundary conditions governing phonon - mediated heat transfer "}
{"subject": "math:arxiv_165179", "predicate": "proves", "object": "a graphical expansion formula for non - commutative matrix integrals with values in a finite - dimen"}
{"subject": "math:arxiv_165205", "predicate": "proves", "object": "the axion is a hypothetical particle considered to be the most economical solution to the strong cp "}
{"subject": "math:arxiv_165222", "predicate": "proves", "object": "single scale quantities , as anomalous dimensions and hard scattering cross sections , in renormaliz"}
{"subject": "math:arxiv_165232", "predicate": "proves", "object": "we briefly review the rle played by algebraic structures like combinatorial hopf algebras in the ren"}
{"subject": "math:arxiv_165234", "predicate": "proves", "object": "we determine the large scale geometry of the minimal displacement set of a hyperbolic isometry of a "}
{"subject": "math:arxiv_165236", "predicate": "proves", "object": "in this paper , we formulate an evolutionary multiple access channel game with continuous - variable"}
{"subject": "math:arxiv_165237", "predicate": "proves", "object": "algebraic geometry , although little explored in signal processing , provides tools that are very co"}
{"subject": "math:arxiv_165243", "predicate": "proves", "object": "on the basis of the carter - israel conjecture , today we believe that some compact and massive obje"}
{"subject": "math:arxiv_165246", "predicate": "proves", "object": "_ the theory of the calculus of variations was recently extended to the more general time scales set"}
{"subject": "math:arxiv_165250", "predicate": "proves", "object": "the functional renormalization group ( frg ) approach has the property that , in general , the flow "}
{"subject": "math:arxiv_165289", "predicate": "proves", "object": "it was shown that the spin chain model coming from ads / cft correspondence satisfies the yangian sy"}
{"subject": "math:arxiv_165290", "predicate": "proves", "object": "we show that , even for extremely stiff systems , explicit integration may compete in both accuracy "}
{"subject": "math:arxiv_165301", "predicate": "proves", "object": "a linear stability analysis of the hydrodynamic equations with respect to the homogeneous cooling st"}
{"subject": "math:arxiv_165305", "predicate": "proves", "object": "we analyzed quantum version of the game battle of sexes using a general initial quantum state . for "}
{"subject": "math:arxiv_165308", "predicate": "proves", "object": "we present a new approach to super - resolution optical imaging , based on structured illumination i"}
{"subject": "math:arxiv_165312", "predicate": "proves", "object": "in honeycomb dirac systems with broken inversion symmetry , orbital magnetic moments coupled to the "}
{"subject": "math:arxiv_165353", "predicate": "proves", "object": "we present abstraction techniques that transform a given non - linear dynamical system into a linear"}
{"subject": "math:arxiv_165354", "predicate": "proves", "object": "we present a factorization formula for the inclusive production of the higgs boson at large transver"}
{"subject": "math:arxiv_165364", "predicate": "proves", "object": "in this paper we introduce new distributions which are solutions of higher - order laplace equations"}
{"subject": "math:arxiv_165367", "predicate": "proves", "object": "we study the pure gauge model on a lattice manifold with trivial fundamental homotopy group , homoto"}
{"subject": "math:arxiv_165375", "predicate": "proves", "object": "an explicit finite - difference scheme is presented for solving the two - dimensional biot equations"}
{"subject": "math:arxiv_165388", "predicate": "proves", "object": "in this paper we consider the second order elliptic partial differential equations with highly varyi"}
{"subject": "math:arxiv_165404", "predicate": "proves", "object": "m - qubit states are embedded in @xmath0 clifford algebra . \n their probability spectrum then depend"}
{"subject": "math:arxiv_165437", "predicate": "proves", "object": "we investigate the spinor solutions , the spectrum and the symmetry properties of a matrix - valued "}
{"subject": "math:arxiv_165439", "predicate": "proves", "object": "many interesting computational problems can be reformulated in terms of decision trees . \n a natural"}
{"subject": "math:arxiv_165443", "predicate": "proves", "object": "one of the fundamental results in convex geometry is busemann s theorem , which states that the inte"}
{"subject": "math:arxiv_165450", "predicate": "proves", "object": "we determine the asymptotic behavior of the reidemeister torsion for the graph manifold obtained by "}
{"subject": "math:arxiv_165456", "predicate": "proves", "object": "small quantum fluctuations in solitons described by the cubic - quintic nonlinear schrdinger equatio"}
{"subject": "math:arxiv_165458", "predicate": "proves", "object": "the stationary gross  pitaevskii equation in one dimension is considered with a complex periodic pot"}
{"subject": "math:arxiv_165477", "predicate": "proves", "object": "we investigate electron - positron pair production in pulse - shaped electric background fields usin"}
{"subject": "math:arxiv_165479", "predicate": "proves", "object": "in this letter , we examine the phantom energy accretion onto a kehagias - sfetsos black hole in ho@"}
{"subject": "math:arxiv_165483", "predicate": "proves", "object": "we derive generalized quasiclassical transport equations which include the terms responsible for the"}
{"subject": "math:arxiv_165495", "predicate": "proves", "object": "in this paper , we consider a spherical symmetric metric to extract the hydrostatic equilibrium equa"}
{"subject": "math:arxiv_165507", "predicate": "proves", "object": "the geometry of closed surfaces equipped with a euclidean metric with finitely many conical points o"}
{"subject": "math:arxiv_165519", "predicate": "proves", "object": "linear systems of structural equations have been recently investigated to reveal the structures of g"}
{"subject": "math:arxiv_165544", "predicate": "proves", "object": "we put forward one of the forms of functional pentagon equation ( fpe ) , known from the theory of i"}
{"subject": "math:arxiv_165563", "predicate": "proves", "object": "we have recently presented a method to solve an overdetermined linear system of equations with multi"}
{"subject": "math:arxiv_165566", "predicate": "proves", "object": "we study the effects of friction on the chiral symmetry restoration which may take place temporarily"}
{"subject": "math:arxiv_165571", "predicate": "proves", "object": "bargmann invariants and null phase curves are known to be important ingredients in understanding the"}
{"subject": "math:arxiv_165572", "predicate": "proves", "object": "we study a number of possible extensions of the ramanujan master theorem , which is formulated here "}
{"subject": "math:arxiv_165581", "predicate": "proves", "object": "for every odd integer @xmath0 , we raise an example of a prime component - preservingly amphicheiral"}
{"subject": "math:arxiv_165591", "predicate": "proves", "object": "we describe some particular finite sums of multiple zeta values which arise from j. ecalle s `` arbo"}
{"subject": "math:arxiv_165593", "predicate": "proves", "object": "we present an algorithm for the approximation of a finite horizon optimal control problem for advect"}
{"subject": "math:arxiv_165594", "predicate": "proves", "object": "in this study , approximate analytical solution of schrdinger , klein - gordon and dirac equations u"}
{"subject": "math:arxiv_165598", "predicate": "proves", "object": "we describe the first discrete - time 4-dimensional numerical application of regge calculus . the sp"}
{"subject": "math:arxiv_165602", "predicate": "proves", "object": "the maslov correction to the wave function is the jump of @xmath0 in the phase when the system passe"}
{"subject": "math:arxiv_165607", "predicate": "proves", "object": "in 2003 , leonid a. levin presented the idea of a combinatorial complete one - way function and a sk"}
{"subject": "math:arxiv_165642", "predicate": "proves", "object": "a kac - moody algebra construction for the integrable hierarchy containing the gardner equation is p"}
{"subject": "math:arxiv_165675", "predicate": "proves", "object": "the phenomenon , known assupersmoothness \" was first observed for bivariate splines and attributed t"}
{"subject": "math:arxiv_165688", "predicate": "proves", "object": "one - dimensional light harvesting structures with a realistic geometry nano - patterned on an opaqu"}
{"subject": "math:arxiv_165712", "predicate": "proves", "object": "we discuss the dust distribution within photoionized regions . assuming a geometry with a central du"}
{"subject": "math:arxiv_165720", "predicate": "proves", "object": "we study non - standard interactions ( nsis ) at reactor neutrino experiments , and in particular , "}
{"subject": "math:arxiv_165724", "predicate": "proves", "object": "in this note we give an axiomatization of boolean algebras based on weakly dicomplemented lattices :"}
{"subject": "math:arxiv_165725", "predicate": "proves", "object": "we provide an algebraic study of the local composite operators @xmath0 and @xmath1 , with @xmath2 th"}
{"subject": "math:arxiv_165728", "predicate": "proves", "object": "the problem of classifying off - shell representations of the @xmath0-extended one - dimensional sup"}
{"subject": "math:arxiv_165747", "predicate": "proves", "object": "some tests of fundamental physics - the equation of state at supra - nuclear densities , the metric "}
{"subject": "math:arxiv_165764", "predicate": "proves", "object": "it has been commonly conjectured that all massive ( @xmath0 10 @xmath1 ) stars are born in ob associ"}
{"subject": "math:arxiv_165766", "predicate": "proves", "object": "the nlie ( the non - linear integral equation equivalent to the bethe ansatz equations for finite si"}
{"subject": "math:arxiv_165768", "predicate": "proves", "object": "in this note we study thermodynamic geometry of the type 0a black hole solution in string theory usi"}
{"subject": "math:arxiv_165799", "predicate": "proves", "object": "we discuss the issue of branching in quasiregular mapping , and in particular the relation between b"}
{"subject": "math:arxiv_165808", "predicate": "proves", "object": "we consider symmetric tensors of format @xmath0 and @xmath1 over prime fields . using computer algeb"}
{"subject": "math:arxiv_165845", "predicate": "proves", "object": "the solution of boltzmann equation for plasma in magnetic field , with arbitrarily degenerate electr"}
{"subject": "math:arxiv_165846", "predicate": "proves", "object": "the existence of bright solitons in the model of the tonks - girardeau ( tg ) gas with dipole - dipo"}
{"subject": "math:arxiv_165854", "predicate": "proves", "object": "in the present work , we study the classical behavior of an electric dipole in presence of an extern"}
{"subject": "math:arxiv_165881", "predicate": "proves", "object": "we derive exact solutions of a linear form of the grad  shafranov ( gs ) equation , including incomp"}
{"subject": "math:arxiv_165884", "predicate": "proves", "object": "relativistic and non - relativistic fluid equations can exhibit finite time singular solutions inclu"}
{"subject": "math:arxiv_165891", "predicate": "proves", "object": "we establish a connection between gaps problems in diophantine approximation and the frequency spect"}
{"subject": "math:arxiv_165897", "predicate": "proves", "object": "a primary unresolved issue for cosmological singularities is whether or not their behavior is locall"}
{"subject": "math:arxiv_165906", "predicate": "proves", "object": "let @xmath0 be a compact , connected symplectic manifold with a hamiltonian action of a compact @xma"}
{"subject": "math:arxiv_165916", "predicate": "proves", "object": "the markoff type diophantine equation @xmath0 defines an affine surface with a rich nonabelian group"}
{"subject": "math:arxiv_165928", "predicate": "proves", "object": "recently it was conjectured that nodal domains of random wave functions are adequately described by "}
{"subject": "math:arxiv_165941", "predicate": "proves", "object": "the dynamics of the partially ionised solar photosphere and chromosphere can be described by a set o"}
{"subject": "math:arxiv_165955", "predicate": "proves", "object": "we discuss the tachyon condensation in a single unstable d - brane in the framework of boundary stat"}
{"subject": "math:arxiv_165961", "predicate": "proves", "object": "malliavin weight sampling ( mws ) is a stochastic calculus technique for computing the derivatives o"}
{"subject": "math:arxiv_165962", "predicate": "proves", "object": "neutron star properties , such as its mass , radius , and moment of inertia , are calculated by solv"}
{"subject": "math:arxiv_165969", "predicate": "proves", "object": "we describe in some detail the derivation of a power counting formula for the soft - collinear effec"}
{"subject": "math:arxiv_165972", "predicate": "proves", "object": "in this work , we study the geodesic structure for a geometry described by a spherically symmetric f"}
{"subject": "math:arxiv_165973", "predicate": "proves", "object": "a parameter - independent notion of stationary slow motion is formulated then applied to the case of"}
{"subject": "math:arxiv_165974", "predicate": "proves", "object": "we compare two concepts treating cobordisms between surfaces : sutured manifolds and homology cylind"}
{"subject": "math:arxiv_165978", "predicate": "proves", "object": "in this paper we investigate the vacuum polarization effects associated with a massive fermionic fie"}
{"subject": "math:arxiv_165982", "predicate": "proves", "object": "for the fundamental solutions of heat - type equations of order @xmath0 we give a general stochastic"}
{"subject": "math:arxiv_165989", "predicate": "proves", "object": "a dynamics between newton and langevin formalisms is elucidated within the framework of the generali"}
{"subject": "math:arxiv_166024", "predicate": "proves", "object": "swimming velocity and rate of dissipation of a sphere with surface distortions are discussed on the "}
{"subject": "math:arxiv_166027", "predicate": "proves", "object": "let @xmath0 be a field of characteristic @xmath1 . it is proved that each automorphism @xmath2 of th"}
{"subject": "math:arxiv_166064", "predicate": "proves", "object": "we formulate conjectures regarding percolation on planar triangulations suggested by assuming ( quas"}
{"subject": "math:arxiv_166067", "predicate": "proves", "object": "the paper contains a simple approach to reconstruction in thermoacoustic and photoacoustic tomograph"}
{"subject": "math:arxiv_166068", "predicate": "proves", "object": "the dirichlet problem for the wave equation is a classical example of a problem which is not well - "}
{"subject": "math:arxiv_166089", "predicate": "proves", "object": "we present an analytic solution of the riemann problem for the equations of relativistic hydrodynami"}
{"subject": "math:arxiv_166091", "predicate": "proves", "object": "we develop a hamiltonian theory of a time dispersive and dissipative inhomogeneous medium , as descr"}
{"subject": "math:arxiv_166094", "predicate": "proves", "object": "with a view to study the convergence properties of the derivative expansion of the exact renormaliza"}
{"subject": "math:arxiv_166095", "predicate": "proves", "object": "we conjecture the existence of a relationship between frustration and the transition point at zero t"}
{"subject": "math:arxiv_166112", "predicate": "proves", "object": "this paper is devoted to the application of the mathematical formalism of quantum mechanics to socia"}
{"subject": "math:arxiv_166113", "predicate": "proves", "object": "the time - dependent transport through single - molecule magnets coupled to magnetic or non - magnet"}
{"subject": "math:arxiv_166120", "predicate": "proves", "object": "the discovery of algebraic geometric codes constructed on curves led to generalising this constructi"}
{"subject": "math:arxiv_166132", "predicate": "proves", "object": "@xmath0-polynomials and @xmath1-vectors were defined by fomin and zelevinsky to give a formula which"}
{"subject": "math:arxiv_166137", "predicate": "proves", "object": "in this paper we study fundamental directional properties of sets under the assumption of condition "}
{"subject": "math:arxiv_166148", "predicate": "proves", "object": "we developed a method to make gem foils with a spherical geometry . \n tests of this procedure and wi"}
{"subject": "math:arxiv_166151", "predicate": "proves", "object": "we derive an analytical trace formula for the level density of the two - dimensional elliptic billia"}
{"subject": "math:arxiv_166156", "predicate": "proves", "object": "we present a self - contained analysis of theories of discrete 2d gravity coupled to matter , using "}
{"subject": "math:arxiv_166172", "predicate": "proves", "object": "some of the phenomenological implications of string cosmological models are reviewed , with particul"}
{"subject": "math:arxiv_166193", "predicate": "proves", "object": "intense attosecond magnetic field pulses are predicted to be produced by intense few cycle attosecon"}
{"subject": "math:arxiv_166222", "predicate": "proves", "object": "we present a detailed calculation of the magnetic couplings between nearest  neighbor and next  near"}
{"subject": "math:arxiv_166228", "predicate": "proves", "object": "this is a review of formalisms and models ( nonrelativistic and relativistic ) which modify schrding"}
{"subject": "math:arxiv_166239", "predicate": "proves", "object": "we analyze the asymptotic stability of a nonlinear system of two differential equations with delay d"}
{"subject": "math:arxiv_166250", "predicate": "proves", "object": "we report an experimental study of the decay of grid - generated turbulence in a confined geometry s"}
{"subject": "math:arxiv_166275", "predicate": "proves", "object": "the zeroth theorem of the history of science ( enunciated by e. p. fischer ) and widely known in the"}
{"subject": "math:arxiv_166276", "predicate": "proves", "object": "we address the influence of the molecular orbital geometry and of the molecular alignment with respe"}
{"subject": "math:arxiv_166281", "predicate": "proves", "object": "we present the formal geometric derivation of a nonequilibrium growth model that takes the form of a"}
{"subject": "math:arxiv_166284", "predicate": "proves", "object": "we formulate the qcd critical point focusing effect on transverse velocity ( @xmath0 ) dependence of"}
{"subject": "math:arxiv_166285", "predicate": "proves", "object": "there is recent evidence that the xy spin model on complex networks can display three different macr"}
{"subject": "math:arxiv_166288", "predicate": "proves", "object": "a linear stochastic vector advection equation is considered ; the equation may model a passive magne"}
{"subject": "math:arxiv_166291", "predicate": "proves", "object": "mv - algebras can be viewed either as the lindenbaum algebras of ukasiewicz  infinite - valued logic"}
{"subject": "math:arxiv_166299", "predicate": "proves", "object": "we compute time - periodic and relative - periodic solutions of the free - surface euler equations t"}
{"subject": "math:arxiv_166309", "predicate": "proves", "object": "this paper generalizes the non - conforming fem of crouzeix and raviart and its fundamental projecti"}
{"subject": "math:arxiv_166318", "predicate": "proves", "object": "we investigate the fermionic condensate and the vacuum expectation value of the energy - momentum te"}
{"subject": "math:arxiv_166322", "predicate": "proves", "object": "the semiclassical limit of the fzzt liouville theory on the upper half plane with bulk operators of "}
{"subject": "math:arxiv_166323", "predicate": "proves", "object": "we use the gorkov formulation of the dirac - hartree - fock - bogoliubov approximation to nuclear pa"}
{"subject": "math:arxiv_166324", "predicate": "proves", "object": "the problem of laplacian growth is considered within the loewner - equation framework . \n a new meth"}
{"subject": "math:arxiv_166344", "predicate": "proves", "object": "this article addresses linear hyperbolic partial differential equations with non - smooth coefficien"}
{"subject": "math:arxiv_166348", "predicate": "proves", "object": "the pair distribution function of monodisperse rigid spherocylinders is calculated by shinomoto s me"}
{"subject": "math:arxiv_166362", "predicate": "proves", "object": "we study the heat flow in the loop space of a closed riemannian manifold @xmath0 as an adiabatic lim"}
{"subject": "math:arxiv_166366", "predicate": "proves", "object": "hamiltonian symplectic actions of tori on compact symplectic manifolds have been extensively studied"}
{"subject": "math:arxiv_166371", "predicate": "proves", "object": "we propose a scheme to dynamically generate optical flux lattices with nontrivial band topology usin"}
{"subject": "math:arxiv_166382", "predicate": "proves", "object": "based on the large @xmath0 duality relating topological string theory on calabi - yau 3-folds and ch"}
{"subject": "math:arxiv_166390", "predicate": "proves", "object": "we prove that any finite subdirectly irreducible heyting algebra with involution is quasi - primal ,"}
{"subject": "math:arxiv_166393", "predicate": "proves", "object": "a time - dependent statistical description of multiple particle breakage is presented . \n the approa"}
{"subject": "math:arxiv_166410", "predicate": "proves", "object": "we prove that the twisted @xmath0-homology of a simply connected simple lie group @xmath1 of rank @x"}
{"subject": "math:arxiv_166429", "predicate": "proves", "object": "we construct certain tensor categories that are dominated by finitely many simple objects . \n object"}
{"subject": "math:arxiv_166432", "predicate": "proves", "object": "recently , kostelecky [ v.a . \n kostelecky , phys . lett . \n b * 701 * , 137 ( 2011 ) ] proposed tha"}
{"subject": "math:arxiv_166449", "predicate": "proves", "object": "the meg detector is designed to test lepton flavor violation in the @xmath0 decay down to a branchin"}
{"subject": "math:arxiv_166450", "predicate": "proves", "object": "this paper develops a fully discrete modified characteristic finite element method for a coupled sys"}
{"subject": "math:arxiv_166451", "predicate": "proves", "object": "here i develop the simplest method in order to evaluate whether or not the vainshtein mechanism can "}
{"subject": "math:arxiv_166454", "predicate": "proves", "object": "coherent properties of the baryon - photon fluid decoupling are considered in the terms of an effect"}
{"subject": "math:arxiv_166466", "predicate": "proves", "object": "the dynamics of a degree of freedom associated to an axial vector in contact with a heat bath is des"}
{"subject": "math:arxiv_166468", "predicate": "proves", "object": "in this paper we introduce the concept of a quota complex and study how the topology of these quota "}
{"subject": "math:arxiv_166515", "predicate": "proves", "object": "we investigate the asymptotic behavior of the nonautonomous evolution problem generated by the oscil"}
{"subject": "math:arxiv_166532", "predicate": "proves", "object": "quantum process tomography is a procedure by which an unknown quantum operation can be fully experim"}
{"subject": "math:arxiv_166539", "predicate": "proves", "object": "we present a numerical and partially analytical study of classical particles obeying a langevin equa"}
{"subject": "math:arxiv_166551", "predicate": "proves", "object": "we develop a hierarchy of approximations to the master equation for systems that exhibit translation"}
{"subject": "math:arxiv_166567", "predicate": "proves", "object": "given a smooth one parameter deformation of associative topological algebras , we define getzler s g"}
{"subject": "math:arxiv_166573", "predicate": "proves", "object": "we can obtain one solution of the hamiltonian constraint equation in the local sense . \n the form of"}
{"subject": "math:arxiv_166583", "predicate": "proves", "object": "in this paper we study the ideal amenability of banach algebras . \n let @xmath0 be a banach algebra "}
{"subject": "math:arxiv_166593", "predicate": "proves", "object": "let @xmath0 , @xmath1 , be a smooth bounded domain and consider a coupled system in @xmath2 consisti"}
{"subject": "math:arxiv_166612", "predicate": "proves", "object": "we give an overview of the proof ( @xcite ) that the only knots that are both tunnel number one and "}
{"subject": "math:arxiv_166623", "predicate": "proves", "object": "we propose a new method for monte carlo solution of non - linear integral equations by combining the"}
{"subject": "math:arxiv_166632", "predicate": "proves", "object": "the gottesman - knill theorem says that a stabilizer circuit  that is , a quantum circuit consisting"}
{"subject": "math:arxiv_166636", "predicate": "proves", "object": "a coupled map lattice of generalized lotka - volterra equations in the presence of colored multiplic"}
{"subject": "math:arxiv_166648", "predicate": "proves", "object": "a quantum algorithm for approximating efficiently @xmath0manifold topological invariants in the fram"}
{"subject": "math:arxiv_166659", "predicate": "proves", "object": "a variety of experimental and theoretical studies have established that the folding process of monom"}
{"subject": "math:arxiv_166674", "predicate": "proves", "object": "scalar tops in supersymmetric model affect the potential of the standard - model - like higgs at qua"}
{"subject": "math:arxiv_166676", "predicate": "proves", "object": "previous work has shown that the standard supergravity approximation can break down when using ads /"}
{"subject": "math:arxiv_166692", "predicate": "proves", "object": "we give a simple way to generate an infinite number of solutions to pell s equation @xmath0 , requir"}
{"subject": "math:arxiv_166701", "predicate": "proves", "object": "we give a combinatorial description of the legendrian differential graded algebra associated to a le"}
{"subject": "math:arxiv_166719", "predicate": "proves", "object": "at high temperature , every @xmath0-dimensional theory can be reformulated as an effective theory in"}
{"subject": "math:arxiv_166738", "predicate": "proves", "object": "we study the electromagnetic field equations on an arbitrary quantum curved background in the semicl"}
{"subject": "math:arxiv_166759", "predicate": "proves", "object": "we introduce a random variable approach to investigate the dynamics of a dissipative two - state sys"}
{"subject": "math:arxiv_166800", "predicate": "proves", "object": "class of axially symmetric solutions of vacuum einstein field equations including the papapetrou sol"}
{"subject": "math:arxiv_166809", "predicate": "proves", "object": "we present several exact solutions to the coupled nonlinear gross - pitaevskii equations which descr"}
{"subject": "math:arxiv_166815", "predicate": "proves", "object": "proof designer is a computer software program designed to help mathematics students learn to write m"}
{"subject": "math:arxiv_166822", "predicate": "proves", "object": "the almost periodic eigenvalue problem described by the harper equation is connected to other classe"}
{"subject": "math:arxiv_166824", "predicate": "proves", "object": "the metric mahler measure was first studied by dubickas and smyth in 2001 as a means of phrasing leh"}
{"subject": "math:arxiv_166836", "predicate": "proves", "object": "the thermalization of a longitudinally expanding color glass condensate with bjorken boost invariant"}
{"subject": "math:arxiv_166842", "predicate": "proves", "object": "if quenched to zero temperature , the one - dimensional ising spin chain undergoes coarsening , wher"}
{"subject": "math:arxiv_166875", "predicate": "proves", "object": "within the general setting of algebraic quantum field theory , a new approach to the analysis of the"}
{"subject": "math:arxiv_166880", "predicate": "proves", "object": "using examples we test formulae previously conjectured to give the fractal information dimension of "}
{"subject": "math:arxiv_166883", "predicate": "proves", "object": "the construction of discrete scalar wave propagation equations in arbitrary inhomogeneous media was "}
{"subject": "math:arxiv_166889", "predicate": "proves", "object": "matrix product operators ( mpos ) are at the heart of the second - generation density matrix renorma"}
{"subject": "math:arxiv_166890", "predicate": "proves", "object": "the euler  maruyama scheme is known to diverge strongly and numerically weakly when applied to nonli"}
{"subject": "math:arxiv_166898", "predicate": "proves", "object": "the purpose of these notes is to provide the details of the jacobian ring computations carried out i"}
{"subject": "math:arxiv_166902", "predicate": "proves", "object": "let @xmath0 be a simple classical algebraic group over an algebraically closed field @xmath1 of char"}
{"subject": "math:arxiv_166910", "predicate": "proves", "object": "we consider a five dimensional model with warped geometry where the standard model fermions and gaug"}
{"subject": "math:arxiv_166915", "predicate": "proves", "object": "we studied the dynamics of isotropic - nematic transitions in liquid crystalline polymers by integra"}
{"subject": "math:arxiv_166917", "predicate": "proves", "object": "the aim of this paper is to discuss the theory of newtonian and relativistic polytropes with general"}
{"subject": "math:arxiv_166925", "predicate": "proves", "object": "let @xmath0 be the function field of an elliptic curve @xmath1 over @xmath2 . in this paper , we cal"}
{"subject": "math:arxiv_166933", "predicate": "proves", "object": "we study a new quintic discrete nonlinear schrdinger ( qdnls ) equation which reduces naturally to a"}
{"subject": "math:arxiv_166979", "predicate": "proves", "object": "the transverse charge density in the pion can be represented as a dispersion integral of the imagina"}
{"subject": "math:arxiv_167003", "predicate": "proves", "object": "we have performed _ ab initio _ electronic structure calculations of c and s adsorption on two vicin"}
{"subject": "math:arxiv_167005", "predicate": "proves", "object": "we revisit the question of whether the @xmath0 symmetry is effectively restored in hot and dense med"}
{"subject": "math:arxiv_167008", "predicate": "proves", "object": "we study the hadron - quark phase transition in the interior of protoneutron stars . for the hadroni"}
{"subject": "math:arxiv_167012", "predicate": "proves", "object": "we formulate a model describing the doping ( @xmath0 ) and temperature ( @xmath1 ) dependence of the"}
{"subject": "math:arxiv_167013", "predicate": "proves", "object": "we show a new and constructive proof of the following language - theoretic result : for every contex"}
{"subject": "math:arxiv_167032", "predicate": "proves", "object": "in the present paper i show how it is possible to derive the hilbert space formulation of quantum me"}
{"subject": "math:arxiv_167039", "predicate": "proves", "object": "quantum experiments with nanomechanical oscillators are regarded as a testbed for hypothetical modif"}
{"subject": "math:arxiv_167044", "predicate": "proves", "object": "nonlinear ion - acoustic cnoidal wave structures are studied in an unmagnetized quantum plasma . usi"}
{"subject": "math:arxiv_167046", "predicate": "proves", "object": "coupled map lattices of non - hyperbolic local maps arise naturally in many physical situations desc"}
{"subject": "math:arxiv_167057", "predicate": "proves", "object": "3d printing technology can help to visualize proofs in mathematics . in this document \n we aim to il"}
{"subject": "math:arxiv_167075", "predicate": "proves", "object": "the aim of this short note is to present a proof of the existence of an @xmath0-quasi - isomorphism "}
{"subject": "math:arxiv_167078", "predicate": "proves", "object": "birkhoff s variety theorem from universal algebra characterises equational subcategories of varietie"}
{"subject": "math:arxiv_167087", "predicate": "proves", "object": "we present an approach to robustly track the geometry of an object that deforms over time from a set"}
{"subject": "math:arxiv_167091", "predicate": "proves", "object": "contemporary relativity theory is restricted in two points : ( 1 ) a use of the riemannian space - t"}
{"subject": "math:arxiv_167099", "predicate": "proves", "object": "the dirichlet boundary - value problem and isoperimetric inequalities for positive definite regular "}
{"subject": "math:arxiv_167110", "predicate": "proves", "object": "in the framework of the impulse approximation we study the photoproduction of the hypertriton @xmath"}
{"subject": "math:arxiv_167122", "predicate": "proves", "object": "the envelope of holomorphy of an arbitrary domain in a two - dimensional stein manifold is identifie"}
{"subject": "math:arxiv_167123", "predicate": "proves", "object": "by applying fractional calculus to the equation proposed by m. planck in 1900 , we obtain a new blac"}
{"subject": "math:arxiv_167135", "predicate": "proves", "object": "we present a closed system of coupled first order differential equations governing the secular linea"}
{"subject": "math:arxiv_167155", "predicate": "proves", "object": "by allowing interactions between electrons , a new harper s equation is derived to examine the effec"}
{"subject": "math:arxiv_167160", "predicate": "proves", "object": "kruskal s extension solves the problem of the arrow of time of the `` schwarzschild solution '' thro"}
{"subject": "math:arxiv_167173", "predicate": "proves", "object": "the main purpose of this paper is to give a survey of recent developments on a classification of sol"}
{"subject": "math:arxiv_167174", "predicate": "proves", "object": "we establish the existence , uniqueness and attraction properties of an ergodic invariant measure fo"}
{"subject": "math:arxiv_167176", "predicate": "proves", "object": "we report results of systematic simulations of the dynamics of solitons in the framework of the one "}
{"subject": "math:arxiv_167179", "predicate": "proves", "object": "the early papers by klein , sauter and hund which investigate scattering off a high step potential i"}
{"subject": "math:arxiv_167190", "predicate": "proves", "object": "we describe a lattice boltzmann algorithm to simulate liquid crystal hydrodynamics . \n the equations"}
{"subject": "math:arxiv_167192", "predicate": "proves", "object": "wannier functions of the one dimensional schrdinger equation with elliptic one gap potential are exp"}
{"subject": "math:arxiv_167196", "predicate": "proves", "object": "we show , by an elementary and explicit construction , that the group of hamiltonian diffeomorphisms"}
{"subject": "math:arxiv_167198", "predicate": "proves", "object": "we introduce and analyze the nonlocal variants of two cahn - hilliard type equations with reaction t"}
{"subject": "math:arxiv_167205", "predicate": "proves", "object": "a subgroup of a group @xmath0 is called _ algebraic _ if it can be expressed as a finite union of so"}
{"subject": "math:arxiv_167208", "predicate": "proves", "object": "we prove the discrete lusternik - schnirelmann theorem @xmath0 for general simple graphs @xmath1 . \n"}
{"subject": "math:arxiv_167210", "predicate": "proves", "object": "we give an example of a simple mechanical system described by the generalized harmonic oscillator eq"}
{"subject": "math:arxiv_167219", "predicate": "proves", "object": "we address estimation of parametric coefficients of a pure - jump lvy driven univariate stochastic d"}
{"subject": "math:arxiv_167236", "predicate": "proves", "object": "we investigate nil - temperley - lieb algebras of type a. we give a general description of the struc"}
{"subject": "math:arxiv_167246", "predicate": "proves", "object": "we discuss the potential of high sensitivity mid - ir and far - ir spectroscopy to proof the physica"}
{"subject": "math:arxiv_167256", "predicate": "proves", "object": "we give an exhaustive characterization of singular weak solutions for ordinary differential equation"}
{"subject": "math:arxiv_167280", "predicate": "proves", "object": "consider the linear stochastic differential equation ( sde ) on @xmath0 : @xmath1 where @xmath2 is a"}
{"subject": "math:arxiv_167286", "predicate": "proves", "object": "we study non - equilibrium electron transport through a quantum impurity coupled to metallic leads u"}
{"subject": "math:arxiv_167294", "predicate": "proves", "object": "a generalization of a well - known relation between the riemann zeta function and bernoulli numbers "}
{"subject": "math:arxiv_167339", "predicate": "proves", "object": "by means of numerical methods , we solve the equations of motion for the collapse of a shell of bary"}
{"subject": "math:arxiv_167346", "predicate": "proves", "object": "we demonstrate that an important class of nonlinear stationary solutions of the three - dimensional "}
{"subject": "math:arxiv_167353", "predicate": "proves", "object": "we study nonlinear heat conduction equations with memory effects within the framework of the fractio"}
{"subject": "math:arxiv_167362", "predicate": "proves", "object": "supports the implementation of knowledge representation and reasoning tools for higher - order logic"}
{"subject": "math:arxiv_167405", "predicate": "proves", "object": "we introduce the discrete einstein metrics as critical points of discrete energy on triangulated 3-m"}
{"subject": "math:arxiv_167420", "predicate": "proves", "object": "in this paper , the exponential b - spline functions are used for the numerical solution of the rlw "}
{"subject": "math:arxiv_167434", "predicate": "proves", "object": "we propose a hilbert space solution theory for a nonhomogeneous heat equation with delay in the high"}
{"subject": "math:arxiv_167435", "predicate": "proves", "object": "a covariant formulation of a theory with a massive graviton and no negative energy state has been re"}
{"subject": "math:arxiv_167444", "predicate": "proves", "object": "this paper is devoted to the study of algebraic structures leading to link homology theories . \n the"}
{"subject": "math:arxiv_167446", "predicate": "proves", "object": "the stationary axisymmetric force - free magnetosphere of a pulsar is studied analytically . \n the p"}
{"subject": "math:arxiv_167450", "predicate": "proves", "object": "a new computationally efficient method has been introduced to treat self - gravity in eulerian hydro"}
{"subject": "math:arxiv_167475", "predicate": "proves", "object": "we report the implementation of 4-component spinor relativistic equation - of - motion coupled - clu"}
{"subject": "math:arxiv_167478", "predicate": "proves", "object": "we point out that the homfly polynomial ( that is to say , ocneanu s trace functional ) contains two"}
{"subject": "math:arxiv_167505", "predicate": "proves", "object": "in order to extend the spectral action principle to non - compact spaces , we propose a framework fo"}
{"subject": "math:arxiv_167517", "predicate": "proves", "object": "model atoms are an integral part in the solution of non - lte problems . \n they comprise the atomic "}
{"subject": "math:arxiv_167532", "predicate": "proves", "object": "this report attempts to capture the essential workings of gauge links ( wilson lines ) inside gauge "}
{"subject": "math:arxiv_167550", "predicate": "proves", "object": "search of a proper and realistic equations of state ( eos ) for strongly interacting matter used in "}
{"subject": "math:arxiv_167554", "predicate": "proves", "object": "transfer equation in a geometrically thin accretion disk is reexamined under the plane - parallel ap"}
{"subject": "math:arxiv_167558", "predicate": "proves", "object": "the effects of bulk viscosity on the elliptic flow @xmath0 are studied using realistic equation of s"}
{"subject": "math:arxiv_167585", "predicate": "proves", "object": "there are several classes of homogeneous fermi - systems which are characterized by the topology of "}
{"subject": "math:arxiv_167594", "predicate": "proves", "object": "we study random transitions between two metastable states that appear below a critical temperature i"}
{"subject": "math:arxiv_167598", "predicate": "proves", "object": "using the local spin - density approximation ( lsda ) and the ( non self - consistent ) gw approach "}
{"subject": "math:arxiv_167602", "predicate": "proves", "object": "the spatial variability of stress fields resulting from polycrystalline aggregate calculations invol"}
{"subject": "math:arxiv_167610", "predicate": "proves", "object": "we analyze the @xmath0 reactions through @xmath1 gev , using the master formula approach to qcd with"}
{"subject": "math:arxiv_167612", "predicate": "proves", "object": "we present a general formula for the gaussian curvature of curved holomorphic 2-spheres in grassmann"}
{"subject": "math:arxiv_167622", "predicate": "proves", "object": "a single particle obeys the dirac equation in @xmath0 spatial dimensions and is bound by an attracti"}
{"subject": "math:arxiv_167633", "predicate": "proves", "object": "we show that the born s rule is incompatible with lorentz symmetry of the square root klein - gordon"}
{"subject": "math:arxiv_167636", "predicate": "proves", "object": "the stochastic detector output @xmath0 of a general continuously measured quantum system is calculat"}
{"subject": "math:arxiv_167640", "predicate": "proves", "object": "derivations of relativistic second - order dissipative hydrodynamic equations have relied almost exc"}
{"subject": "math:arxiv_167658", "predicate": "proves", "object": "a nonlinear schwinger - dyson ( sd ) equation for the gauge boson propagator of massless qed in one "}
{"subject": "math:arxiv_167666", "predicate": "proves", "object": "the numerical solutions of the nonrelativistic and relativistic boltzmann equations have been studie"}
{"subject": "math:arxiv_167678", "predicate": "proves", "object": "current spectral simulations of einstein s equations require writing the equations in first - order "}
{"subject": "math:arxiv_167684", "predicate": "proves", "object": "the simpson s formula is obtained by approximating the integral of a function on some interval by th"}
{"subject": "math:arxiv_167691", "predicate": "proves", "object": "we consider an extension of the standard @xmath0 queue , described by the equation @xmath1 , where @"}
{"subject": "math:arxiv_167699", "predicate": "proves", "object": "we present a geometry - independent method for determining the shapes of radial volume density profi"}
{"subject": "math:arxiv_167705", "predicate": "proves", "object": "i present a model in which dark energy interacts with matter . \n the former is represented by a vari"}
{"subject": "math:arxiv_167713", "predicate": "proves", "object": "the hamiltonian formulation of the holst action in vacuum and in the presence of matter fields is an"}
{"subject": "math:arxiv_167721", "predicate": "proves", "object": "we formulate the problem of the formation and subsequent evolution of fragments ( or cores ) in magn"}
{"subject": "math:arxiv_167742", "predicate": "proves", "object": "this paper is devoted to the proof of the orbifold theorem : if @xmath0 is a compact connected orien"}
{"subject": "math:arxiv_167769", "predicate": "proves", "object": "we review the use of new and precise dispersive equations , which also implement crossing symmetry ,"}
{"subject": "math:arxiv_167772", "predicate": "proves", "object": "we introduce a family of closed 3-dimensional manifolds , which are a generalization of certain mani"}
{"subject": "math:arxiv_167792", "predicate": "proves", "object": "the degenerate parabolic equation @xmath0=0 $ ] models the evolution of a thin liquid film on a stat"}
{"subject": "math:arxiv_167807", "predicate": "proves", "object": "an analytical - numerical analysis of the singular self - adjoint spectral problem for a system of t"}
{"subject": "math:arxiv_167812", "predicate": "proves", "object": "in this paper we study the systematics of the affine extension of supergravity duality algebras when"}
{"subject": "math:arxiv_167821", "predicate": "proves", "object": "the formulae needed to parametrise @xmath0 , @xmath1 , @xmath2 and @xmath3 are reviewed . for @xmath"}
{"subject": "math:arxiv_167824", "predicate": "proves", "object": "we study the geodesic equations in the space - time of a schwarzschild black hole pierced by an infi"}
{"subject": "math:arxiv_167843", "predicate": "proves", "object": "we construct chiral algebras that centralize rank - two nichols algebras with at least one fermionic"}
{"subject": "math:arxiv_167849", "predicate": "proves", "object": "electron spin precession in nonuniform rashba - dresselhaus two - dimensional electron systems along"}
{"subject": "math:arxiv_167850", "predicate": "proves", "object": "the solution space of a @xmath0-satisfiability ( @xmath0-sat ) formula is a collection of solution c"}
{"subject": "math:arxiv_167876", "predicate": "proves", "object": "we study algebraic and transcendental powers of positive real numbers , including solutions of each "}
{"subject": "math:arxiv_167878", "predicate": "proves", "object": "we address a connection between the energy evolution of the polygonal light - like wilson exponentia"}
{"subject": "math:arxiv_167894", "predicate": "proves", "object": "a lattice boltzmann ( lb ) scheme is described which recovers the equations developed by qian \n shen"}
{"subject": "math:arxiv_167902", "predicate": "proves", "object": "we develop a universal distributional calculus for regulated volumes of metrics that are singular al"}
{"subject": "math:arxiv_167910", "predicate": "proves", "object": "cobordism categories have played an important role in classical geometry and more recently in mathem"}
{"subject": "math:arxiv_167911", "predicate": "proves", "object": "the main purpose of this work is to introduce and analyse some generalizations of diverse superposit"}
{"subject": "math:arxiv_167926", "predicate": "proves", "object": "despite the no - go theorem @xcite which rules out static stable solitons in galileon theory , we pr"}
{"subject": "math:arxiv_167932", "predicate": "proves", "object": "uncertainties in the frequency parameters of a frequency comb laser , causes it to represent a mixed"}
{"subject": "math:arxiv_167940", "predicate": "proves", "object": "we consider an initial value problem for a quadratically nonlinear inviscid burgers - hilbert equati"}
{"subject": "math:arxiv_167959", "predicate": "proves", "object": "in this paper we prove the strong @xmath0-log - convexity of the eulerian polynomials of coxeter gro"}
{"subject": "math:arxiv_167986", "predicate": "proves", "object": "this paper presents a formalization of decreasing diagrams in the theorem prover isabelle . \n it dis"}
{"subject": "math:arxiv_167989", "predicate": "proves", "object": "it is shown that in polar geometry and normal incidence the @xmath0 matrix technique  as discussed i"}
{"subject": "math:arxiv_167996", "predicate": "proves", "object": "we present a robust iterative technique for solving complex transcendental dispersion equations rout"}
{"subject": "math:arxiv_167998", "predicate": "proves", "object": "multiple ( real ) solutions of the cc equations ( corresponding to the ccd , acp and acpq methods ) "}
{"subject": "math:arxiv_168003", "predicate": "proves", "object": "we study sheaves of differential forms and their cohomology in the @xmath0-topology . \n this allows "}
{"subject": "math:arxiv_168017", "predicate": "proves", "object": "calculations of the one - hole spectral function of @xmath0 for small missing energies are reviewed "}
{"subject": "math:arxiv_168020", "predicate": "proves", "object": "in this write - up , i summarize the key ingredients of the vector manifestaion formulated in the hi"}
{"subject": "math:arxiv_168032", "predicate": "proves", "object": "we show a numerical scheme to solve the moment equations of the radiative transfer , i.e. , m1 model"}
{"subject": "math:arxiv_168045", "predicate": "proves", "object": "we have developed a method to compute the possible distribution of radio emission regions in a typic"}
{"subject": "math:arxiv_168061", "predicate": "proves", "object": "we give an alternative proof of simultaneous linearization recently shown by t.ueda , which connects"}
{"subject": "math:arxiv_168068", "predicate": "proves", "object": "we present the algebraic representation and basic algorithms for multiaspect graphs  ( mags ) . \n a "}
{"subject": "math:arxiv_168070", "predicate": "proves", "object": "we investigate the propagation of transverse elastic waves in crumpled media . \n we set up the wave "}
{"subject": "math:arxiv_168083", "predicate": "proves", "object": "by using a multiscale analysis , we establish quantitative versions of the besicovitch projection th"}
{"subject": "math:arxiv_168087", "predicate": "proves", "object": "in this paper i present an @xmath0-sentence , @xmath1 , with only 5 quantifiers , that logically imp"}
{"subject": "math:arxiv_168125", "predicate": "proves", "object": "this paper presents a probabilistic model validation methodology for nonlinear systems in time - dom"}
{"subject": "math:arxiv_168145", "predicate": "proves", "object": "we have obtained the vlasov equation and boltzmann kinetic equation using the classical hamilton equ"}
{"subject": "math:arxiv_168147", "predicate": "proves", "object": "bertrand s theorem proves that inverse square and hooke s law - type central forces are the only one"}
{"subject": "math:arxiv_168149", "predicate": "proves", "object": "this article focuses on @xmath0 estimates for objects associated to elliptic operators in divergence"}
{"subject": "math:arxiv_168161", "predicate": "proves", "object": "an appropriate rational approximation to the eigenfunction of the schrdinger equation for anharmonic"}
{"subject": "math:arxiv_168205", "predicate": "proves", "object": "we study modified chaplygin gas ( mcg ) as a candidate for dark energy and predict the values of par"}
{"subject": "math:arxiv_168224", "predicate": "proves", "object": "we explains the shifted cocg method which can solve a series of the linear equations generated by nu"}
{"subject": "math:arxiv_168227", "predicate": "proves", "object": "active galactic nuclei ( agn ) consist of an accretion disk around a supermassive black hole which i"}
{"subject": "math:arxiv_168241", "predicate": "proves", "object": "the dwf formulation becomes increasingly problematic at gauge couplings for which @xmath0 gev , wher"}
{"subject": "math:arxiv_168254", "predicate": "proves", "object": "we study the nonhomogeneous boundary value problem for the navier  stokes equations of steady motion"}
{"subject": "math:arxiv_168258", "predicate": "proves", "object": "in this paper we study the dynamics and topology of the isoperiodic foliation defined on the hodge b"}
{"subject": "math:arxiv_168262", "predicate": "proves", "object": "we define the concept of a partial translation structure @xmath0 on a metric space @xmath1 and we sh"}
{"subject": "math:arxiv_168272", "predicate": "proves", "object": "even as we understand for long that the world is quantal and buried in it is classical dynamics whic"}
{"subject": "math:arxiv_168282", "predicate": "proves", "object": "it was recently shown that fluctuations in the initial geometry of a heavy ion collision generally r"}
{"subject": "math:arxiv_168286", "predicate": "proves", "object": "using non - equilibrium  green s functions , we derive a formula for the electron current through a "}
{"subject": "math:arxiv_168317", "predicate": "proves", "object": "we study positive supersolutions to an elliptic equation @xmath0 @xmath1 , @xmath2 , in cone  like d"}
{"subject": "math:arxiv_168323", "predicate": "proves", "object": "we prove that the `` good '' boussinesq model is locally well - posed in the space @xmath0 , @xmath1"}
{"subject": "math:arxiv_168325", "predicate": "proves", "object": "inevitability properties in branching temporal logics are of the syntax @xmath0 , where @xmath1 is a"}
{"subject": "math:arxiv_168331", "predicate": "proves", "object": "in this paper , we study the electromagnetic effects on stability of spherically symmetric anisotrop"}
{"subject": "math:arxiv_168334", "predicate": "proves", "object": "in the field of atom optics , the basis of many experiments is a two level atom coupled to a light f"}
{"subject": "math:arxiv_168356", "predicate": "proves", "object": "we investigate the non - minimal couplings between the electromagnetic fields and gravity through th"}
{"subject": "math:arxiv_168364", "predicate": "proves", "object": "it will be shown how the directed percolation process in the presence of compressible velocity fluct"}
{"subject": "math:arxiv_168383", "predicate": "proves", "object": "the presence or lack of eclipses in the x - ray lightcurves of ultraluminous x - ray sources ( ulxs "}
{"subject": "math:arxiv_168399", "predicate": "proves", "object": "electron spin relaxation in paramagnetic ga(mn)as quantum wells is studied via the fully microscopic"}
{"subject": "math:arxiv_168412", "predicate": "proves", "object": "this paper presents a stochastic differential equation model for describing the process of fish scho"}
{"subject": "math:arxiv_168443", "predicate": "proves", "object": "the pressure - volume - temperature equation of state of the intermetallic compound nial was calcula"}
{"subject": "math:arxiv_168451", "predicate": "proves", "object": "in this paper the maxwell field theory is considered on the @xmath0 symmetric algebraic curves . as "}
{"subject": "math:arxiv_168459", "predicate": "proves", "object": "we investigate a model of globally coupled conservative oscillators . \n two different algebraic pote"}
{"subject": "math:arxiv_168461", "predicate": "proves", "object": "the turing instability paradigm is revisited in the context of a multispecies diffusion scheme deriv"}
{"subject": "math:arxiv_168466", "predicate": "proves", "object": "we introduce a new petrov - galerkin multiscale method for the numerical approximation of the helmho"}
{"subject": "math:arxiv_168486", "predicate": "proves", "object": "we give an algebraic characterization of when a @xmath0-dimensional periodic framework has no non - "}
{"subject": "math:arxiv_168490", "predicate": "proves", "object": "in this work , we present two numerical methods to approximate solutions of systems of dissipative s"}
{"subject": "math:arxiv_168497", "predicate": "proves", "object": "the reductive perturbation method has been employed to derive the korteweg  de vries ( kdv ) equatio"}
{"subject": "math:arxiv_168499", "predicate": "proves", "object": "in section 1 we give an improved lower bound on hermite s constant @xmath0 for symplectic lattices i"}
{"subject": "math:arxiv_168501", "predicate": "proves", "object": "we show that the automorphism group of drinfeld s half - space over a finite field is the projective"}
{"subject": "math:arxiv_168527", "predicate": "proves", "object": "we study symmetries and defects of a wide class of two dimensional abelian topological phases charac"}
{"subject": "math:arxiv_168529", "predicate": "proves", "object": "we prove that , if @xmath0 is a positively graded , graded commutative , local , finite hopf algebra"}
{"subject": "math:arxiv_168536", "predicate": "proves", "object": "in this paper , we obtain a characterization of short normal sequences over a finite abelian @xmath0"}
{"subject": "math:arxiv_168548", "predicate": "proves", "object": "the non - local hydrodynamic moment equations for compressible convection are compared to numerical "}
{"subject": "math:arxiv_168555", "predicate": "proves", "object": "in the ashtekar - barbero formulation of canonical general relativity based on an @xmath0 connection"}
{"subject": "math:arxiv_168600", "predicate": "proves", "object": "in recent years two nonlinear dispersive partial differential equations have attracted a lot of atte"}
{"subject": "math:arxiv_168614", "predicate": "proves", "object": "we present results on the effect of the stiffness of the equation of state on the dynamical bar - mo"}
{"subject": "math:arxiv_168615", "predicate": "proves", "object": "we have solved the einstein - maxwell equations for a class of metrics with constant spatial curvatu"}
{"subject": "math:arxiv_168616", "predicate": "proves", "object": "we obtain the analogues of the friedman equations in an emergent gravity scenario in the presence of"}
{"subject": "math:arxiv_168622", "predicate": "proves", "object": "spatially homogeneous and isotropic cosmological models , with a perfect fluid matter source and non"}
{"subject": "math:arxiv_168634", "predicate": "proves", "object": "we prove that given a @xmath0 riemannian manifold with boundary , any fat triangulation of the bound"}
{"subject": "math:arxiv_168646", "predicate": "proves", "object": "a preasymptotic error analysis of the finite element method ( fem ) and some continuous interior pen"}
{"subject": "math:arxiv_168666", "predicate": "proves", "object": "we present a new algorithm for computing the lyapunov exponents spectrum based on a matrix different"}
{"subject": "math:arxiv_168672", "predicate": "proves", "object": "in this article , we will show that a normalized fundamental solution of the formal knizhnik - zamol"}
{"subject": "math:arxiv_168685", "predicate": "proves", "object": "in this paper , it is explained that a topological invariant for 3-manifold @xmath0 with @xmath1 can"}
{"subject": "math:arxiv_168690", "predicate": "proves", "object": "given a sequence of asymptotically flat 3-manifolds of nonnegative scalar curvature with outermost m"}
{"subject": "math:arxiv_168708", "predicate": "proves", "object": "we consider three - body systems in two dimensions with zero - range interactions for general masses"}
{"subject": "math:arxiv_168709", "predicate": "proves", "object": "we propose a new algorithm for calculation of vibrational spectra of molecules using tensor train de"}
{"subject": "math:arxiv_168730", "predicate": "proves", "object": "we give an explicit basis @xmath0 of the quotient of the kauffman bracket skein algebra @xmath1 on a"}
{"subject": "math:arxiv_168735", "predicate": "proves", "object": "recent progress of symbolic dynamics of one- and especially two - dimensional maps has enabled us to"}
{"subject": "math:arxiv_168740", "predicate": "proves", "object": "the classical solution to the liouville equation in the case of three hyperbolic singularities of it"}
{"subject": "math:arxiv_168772", "predicate": "proves", "object": "we introduce the notion of resultant of two planar curves in the tropical geometry framework . \n we "}
{"subject": "math:arxiv_168779", "predicate": "proves", "object": "we explore similarities between the quantum wells and quantum dots used as optical gain media in sem"}
{"subject": "math:arxiv_168817", "predicate": "proves", "object": "we address the study of controllability of a closed quantum system whose dynamical lie algebra is ge"}
{"subject": "math:arxiv_168819", "predicate": "proves", "object": "a continuum theory of partially fluidized granular flows is developed . \n the theory is based on a c"}
{"subject": "math:arxiv_168820", "predicate": "proves", "object": "in this paper , we prove a generalization of rado s theorem , a fundamental result of minimal surfac"}
{"subject": "math:arxiv_168826", "predicate": "proves", "object": "we report the analysis of magnetic susceptibility @xmath0(@xmath1 ) of sr@xmath2iro@xmath3 single cr"}
{"subject": "math:arxiv_168830", "predicate": "proves", "object": "minkowski sums cover a wide range of applications in many different fields like algebra , morphing ,"}
{"subject": "math:arxiv_168837", "predicate": "proves", "object": "the hilbert - einstein equations are insufficient to describe the geometry of the universe , as they"}
{"subject": "math:arxiv_168839", "predicate": "proves", "object": "membrane potential in a mathematical model of a cardiac myocyte can be formulated in different ways "}
{"subject": "math:arxiv_168841", "predicate": "proves", "object": "a new method for solving the bethe - salpeter equation is developed . \n it allows to find the bethe "}
{"subject": "math:arxiv_168848", "predicate": "proves", "object": "we consider a stochastic differential equation of the form @xmath0 with multiplicative stochastic vo"}
{"subject": "math:arxiv_168852", "predicate": "proves", "object": "we study an effective field theory of interacting nucleons at distances much greater than the pion s"}
{"subject": "math:arxiv_168859", "predicate": "proves", "object": "we construct a madelung fluid model with specific time variable parameters as dissipative quantum fl"}
{"subject": "math:arxiv_168871", "predicate": "proves", "object": "using an environmentally friendly renormalization we derive , from an underlying field theory repres"}
{"subject": "math:arxiv_168876", "predicate": "proves", "object": "in this paper , we present a method that enables to solve in parallel the euler - lagrange system as"}
{"subject": "math:arxiv_168877", "predicate": "proves", "object": "we establish in a cosmological model based on lyra s geometry a relationship between a displacement "}
{"subject": "math:arxiv_168882", "predicate": "proves", "object": "we formulate a fully self - consistent , microscopic model to study the retardation and correlation "}
{"subject": "math:arxiv_168889", "predicate": "proves", "object": "using exact diagonalization in the spherical geometry , we investigate systems of localized quasihol"}
{"subject": "math:arxiv_168898", "predicate": "proves", "object": "we derive the steady state properties of a general directed `` sandpile '' model in one dimension . "}
{"subject": "math:arxiv_168900", "predicate": "proves", "object": "the rare - earths are known to have intriguing changes of the valence , depending on chemical surrou"}
{"subject": "math:arxiv_168903", "predicate": "proves", "object": "surface parameterization is widely used in computer graphics and geometry processing . \n it simplifi"}
{"subject": "math:arxiv_168911", "predicate": "proves", "object": "we present a microscopic calculation of transport in strongly doped superlattices where domain forma"}
{"subject": "math:arxiv_168938", "predicate": "proves", "object": "effects of the collision geometry on experimental observables that are known to be sensitive to the "}
{"subject": "math:arxiv_168940", "predicate": "proves", "object": "in the present paper we construct the discrete analogue @xmath0 of the differential operator @xmath1"}
{"subject": "math:arxiv_168956", "predicate": "proves", "object": "there is a relation between the generalized property r conjecture and the schoenflies conjecture tha"}
{"subject": "math:arxiv_168959", "predicate": "proves", "object": "we formulate a time - dependent density functional theory ( tddft ) in terms of the density matrix t"}
{"subject": "math:arxiv_168970", "predicate": "proves", "object": "in this work we construct a family of entire bounded solution for the singulary perturbed inhomogene"}
{"subject": "math:arxiv_168971", "predicate": "proves", "object": "algebraically simply connected surfaces of general type with @xmath0 and @xmath1 in positive charact"}
{"subject": "math:arxiv_168985", "predicate": "proves", "object": "the thermal nature of the propagator in a collapsed black - hole spacetime is shown to follow from t"}
{"subject": "math:arxiv_168989", "predicate": "proves", "object": "elimination theory is at the origin of algebraic geometry in the 19-th century and deals with algori"}
{"subject": "math:arxiv_168998", "predicate": "proves", "object": "the optimal efficiency of quantum ( or classical ) heat engines whose heat baths are @xmath0-particl"}
{"subject": "math:arxiv_169003", "predicate": "proves", "object": "the nonlocal nonlinear aggregation equation in one space dimension is investigated . in the so - cal"}
{"subject": "math:arxiv_169019", "predicate": "proves", "object": "we study the rigid analytic geometry of cyclic coverings of the projective line . we determine the d"}
{"subject": "math:arxiv_169046", "predicate": "proves", "object": "we investigate the distribution of dark matter in galaxies by solving the equations of equilibrium o"}
{"subject": "math:arxiv_169048", "predicate": "proves", "object": "we show that there is a correspondence between goldbach conjecture sequences ( gcs ) and expectation"}
{"subject": "math:arxiv_169049", "predicate": "proves", "object": "it is sometimes stated that gleason s theorem prevents the construction of hidden - variable models "}
{"subject": "math:arxiv_169050", "predicate": "proves", "object": "we propose an algorithm for solution of high - dimensional evolutionary equations ( odes and discret"}
{"subject": "math:arxiv_169053", "predicate": "proves", "object": "the swimming of a deformable planar slab in a viscous incompressible fluid is studied on the basis o"}
{"subject": "math:arxiv_169069", "predicate": "proves", "object": "the interplay between groups and graphs have been the most famous and productive area of algebraic g"}
{"subject": "math:arxiv_169070", "predicate": "proves", "object": "we consider a blow - up solution for the semilinear wave equation in @xmath0 dimensions , with subco"}
{"subject": "math:arxiv_169077", "predicate": "proves", "object": "a numerical study of the faddeev equation for bosons is made with two - body interactions at or clos"}
{"subject": "math:arxiv_169079", "predicate": "proves", "object": "it is pointed out that there exists an interesting strong and weak duality in the landau - zener - s"}
{"subject": "math:arxiv_169095", "predicate": "proves", "object": "we show that a class of @xmath0manifolds with non left \n orderable fundamental group are heegaard fl"}
{"subject": "math:arxiv_169109", "predicate": "proves", "object": "a fully selfconsistent treatment for gap generation and coulomb screening in excitonic insulators is"}
{"subject": "math:arxiv_169125", "predicate": "proves", "object": "this paper is concerned with the einstein equations in axisymmetric vacuum spacetimes . \n we conside"}
{"subject": "math:arxiv_169132", "predicate": "proves", "object": "@xmath0he and the triton are studied as three - body bound states in the effective field theory with"}
{"subject": "math:arxiv_169164", "predicate": "proves", "object": "we construct static and mass - shedding limit sequences of hybrid stars , composed of colour flavour"}
{"subject": "math:arxiv_169168", "predicate": "proves", "object": "let @xmath0 be a riemannian homogeneous manifold with @xmath1 , where @xmath2 denotes the universal "}
{"subject": "math:arxiv_169199", "predicate": "proves", "object": "we present explicit filtration / backprojection - type formulae for the inversion of the spherical ("}
{"subject": "math:arxiv_169231", "predicate": "proves", "object": "we compute the rates of capture of stars by supermassive black holes , using time - dependent fokker"}
{"subject": "math:arxiv_169240", "predicate": "proves", "object": "we show that any regular kleene algebra defined on an algebraic lattice is isomorphic to a rough set"}
{"subject": "math:arxiv_169279", "predicate": "proves", "object": "we investigate the particle accelerator that arises in a rotating neutron - star magnetosphere . sol"}
{"subject": "math:arxiv_169284", "predicate": "proves", "object": "a two miniband model for electron transport in semiconductor superlattices that includes scattering "}
{"subject": "math:arxiv_169290", "predicate": "proves", "object": "the collective excitation phenomena in atomic nuclei are studied in two different formulations of th"}
{"subject": "math:arxiv_169297", "predicate": "proves", "object": "we present several known formalizations of theorems from computational complexity in bounded arithme"}
{"subject": "math:arxiv_169300", "predicate": "proves", "object": "we present an approach of calculating the group of braided autoequivalences of the category of repre"}
{"subject": "math:arxiv_169323", "predicate": "proves", "object": "a classical theorem of h. hopf asserts that a closed connected smooth manifold admits a nowhere vani"}
{"subject": "math:arxiv_169324", "predicate": "proves", "object": "we prove necessary and sufficient criteria of invertibility for planar harmonic mappings which gener"}
{"subject": "math:arxiv_169325", "predicate": "proves", "object": "we give lower bounds for the degree of the discriminant with respect to @xmath0 of separable polynom"}
{"subject": "math:arxiv_169328", "predicate": "proves", "object": "we consider a blow - up solution for a strongly perturbed semilinear heat equation with sobolev subc"}
{"subject": "math:arxiv_169349", "predicate": "proves", "object": "we study lefschetz fixed point formulas for constructible sheaves with higher - dimensional fixed po"}
{"subject": "math:arxiv_169387", "predicate": "proves", "object": "the mechanism of describing quantum states by standard probability ( tomographic one ) instead of wa"}
{"subject": "math:arxiv_169389", "predicate": "proves", "object": "we present a new code for solving the coupled einstein - hydrodynamics equations to evolve relativis"}
{"subject": "math:arxiv_169395", "predicate": "proves", "object": "high frequency integral equation methodologies display the capability of reproducing single - scatte"}
{"subject": "math:arxiv_169401", "predicate": "proves", "object": "we consider spatially two dimensional madelung fluid whose irrotational motion reduces into the schr"}
{"subject": "math:arxiv_169435", "predicate": "proves", "object": "we consider a stabilized nonconforming finite element method for data assimilation in incompressible"}
{"subject": "math:arxiv_169461", "predicate": "proves", "object": "we study a pfaffian of the system of differential equations annihilating appell s hypergeometric ser"}
{"subject": "math:arxiv_169482", "predicate": "proves", "object": "a stationary solution of the dirac equation in the metric of a reissner - nordstrm black hole has be"}
{"subject": "math:arxiv_169496", "predicate": "proves", "object": "we derive eigenfunction expansions for a fundamental solution of laplace s equation in three - dimen"}
{"subject": "math:arxiv_169504", "predicate": "proves", "object": "the mechanism of a rogue water wave is still unknown . \n one popular conjecture is that the peregrin"}
{"subject": "math:arxiv_169520", "predicate": "proves", "object": "the cahn - hilliard equation is related with a number of interesting physical phenomena like the spi"}
{"subject": "math:arxiv_169535", "predicate": "proves", "object": "a detailed proof of hard scattering factorization is given with the inclusion of heavy quark masses "}
{"subject": "math:arxiv_169540", "predicate": "proves", "object": "some known results regarding the euler and navier - stokes equations were obtained by different auth"}
{"subject": "math:arxiv_169554", "predicate": "proves", "object": "we give a complete description of which unital graph @xmath0-algebras are semiprojective , and use i"}
{"subject": "math:arxiv_169559", "predicate": "proves", "object": "an inverse problem to identify unknown coefficients of a partial differential equation by a single i"}
{"subject": "math:arxiv_169560", "predicate": "proves", "object": "we numerically solve the inhomogeneous zerilli - moncrief and regge - wheeler equations in the time "}
{"subject": "math:arxiv_169580", "predicate": "proves", "object": "we present a calculation of the spectral properties of a single charge doped at a cu(@xmath0 ) site "}
{"subject": "math:arxiv_169582", "predicate": "proves", "object": "we consider a magnetic superconductor ( _ ms _ ) with a spiral magnetic structure . on the basis of "}
{"subject": "math:arxiv_169586", "predicate": "proves", "object": "we review the current status of obtaining the spectroscopic information on the one - neutron halo nu"}
{"subject": "math:arxiv_169587", "predicate": "proves", "object": "in this note we propose a vectorized implementation of the non - parametric bootstrap for statistics"}
{"subject": "math:arxiv_169597", "predicate": "proves", "object": "we analyze a possible loophole to the conclusion of the bell - ks theorem that quantum mechanics is "}
{"subject": "math:arxiv_169600", "predicate": "proves", "object": "a recent lower bound on the number of edges in a @xmath0-critical @xmath1-vertex graph by kostochka "}
{"subject": "math:arxiv_169601", "predicate": "proves", "object": "we present a new methodology for calculating the electromagnetic radiation from accelerated charged "}
{"subject": "math:arxiv_169628", "predicate": "proves", "object": "let @xmath0 be a simple complex algebraic group . by using a notion of a @xmath0-category \n we defin"}
{"subject": "math:arxiv_169631", "predicate": "proves", "object": "conventional approaches of sampling signals follow the celebrated theorem of nyquist and shannon . \n"}
{"subject": "math:arxiv_169634", "predicate": "proves", "object": "the impact of free charges on the local pressure on a charged ferroelectric domain wall produced by "}
{"subject": "math:arxiv_169638", "predicate": "proves", "object": "we study the multi - dimensional geometry of supernova ( sn ) explosions by means of spectropolarime"}
{"subject": "math:arxiv_169640", "predicate": "proves", "object": "we demonstrate a scaling method for non - markovian monte carlo wave - function simulations used to "}
{"subject": "math:arxiv_169645", "predicate": "proves", "object": "we investigate the multi - chain version of the chemical master equation , when there are transition"}
{"subject": "math:arxiv_169664", "predicate": "proves", "object": "combining the hydrodynamic equations for the qgp evolution and the transport equation for the primor"}
{"subject": "math:arxiv_169668", "predicate": "proves", "object": "we study the equation of state of neutron matter using a family of unitarity potentials all of which"}
{"subject": "math:arxiv_169699", "predicate": "proves", "object": "we will show that for any positive integer @xmath0 , there exist a smooth manifold that has no @xmat"}
{"subject": "math:arxiv_169712", "predicate": "proves", "object": "knowledge of the geometry of pulsational modes is a prerequisite for seismic modelling of stars . in"}
{"subject": "math:arxiv_169731", "predicate": "proves", "object": "we study vortex dynamics in trapped two - component bose - einstein condensates with a laser - induc"}
{"subject": "math:arxiv_169741", "predicate": "proves", "object": "we consider time dependent thermal fluid structure interaction . \n the respective models are the com"}
{"subject": "math:arxiv_169757", "predicate": "proves", "object": "flaws and ambiguities are pointed out upon examining the comment attempting to solve a problem as ra"}
{"subject": "math:arxiv_169786", "predicate": "proves", "object": "in this paper the solutions of the zero - sound dispersion equation in the random phase approximatio"}
{"subject": "math:arxiv_169823", "predicate": "proves", "object": "the two main topics of this text are as follows : firstly , three modifications of the theorem of be"}
{"subject": "math:arxiv_169842", "predicate": "proves", "object": "the gauge invariant electromagnetic wigner equation is taken as the basis for a fluid - like system "}
{"subject": "math:arxiv_169854", "predicate": "proves", "object": "a one - sided phase - field model is proposed to study the dynamics of unstable interfaces of hele -"}
{"subject": "math:arxiv_169863", "predicate": "proves", "object": "an alternative way for the derivation of the new kdv - type equation is presented . \n the equation c"}
{"subject": "math:arxiv_169875", "predicate": "proves", "object": "integrating equations of particle - number and energy - momentum conservation and maxwell field equa"}
{"subject": "math:arxiv_169902", "predicate": "proves", "object": "we prove an inequality for hlder continuous differential forms on compact manifolds in which the int"}
{"subject": "math:arxiv_169911", "predicate": "proves", "object": "translocation properties of ionic channels are investigated , on the basis of classical electrostati"}
{"subject": "math:arxiv_169915", "predicate": "proves", "object": "we present a geometrical description of the space of density states of a quantum system of finite di"}
{"subject": "math:arxiv_169924", "predicate": "proves", "object": "time evolution of an advection - dominated accretion flow is explored in terms of relativistic fluid"}
{"subject": "math:arxiv_169935", "predicate": "proves", "object": "a thick brane in six dimensions is constructed using two scalar fields . the field equations for 6d "}
{"subject": "math:arxiv_169938", "predicate": "proves", "object": "we discuss the emergence of bound states in the low - energy spectrum of the string - net hamiltonia"}
{"subject": "math:arxiv_169945", "predicate": "proves", "object": "in this paper , we introduce a sophisticated path loss model into the stochastic geometry analysis i"}
{"subject": "math:arxiv_169957", "predicate": "proves", "object": "we investigate the current - induced spin - orbit torque in thin topological insulator ( ti ) films "}
{"subject": "math:arxiv_169963", "predicate": "proves", "object": "we have used diffusion monte carlo ( dmc ) calculations to study the structural properties of magnes"}
{"subject": "math:arxiv_169990", "predicate": "proves", "object": "a chaos control algorithm is developed to actively stabilize unstable periodic orbits of higher - di"}
{"subject": "math:arxiv_169994", "predicate": "proves", "object": "the bec of charged pions is investigated in the framework of o(4 ) linear sigma model . by using cor"}
{"subject": "math:arxiv_169995", "predicate": "proves", "object": "we resolve a conjecture of ramos and li that relates the regularity of an @xmath0-module to its loca"}
{"subject": "math:arxiv_170006", "predicate": "proves", "object": "we show there is a class of symplectic lie algebra representations over any field of characteristic "}
{"subject": "math:arxiv_170008", "predicate": "proves", "object": "we introduce a new class of continuous matrix product ( cmp ) states and establish the stochastic ma"}
{"subject": "math:arxiv_170011", "predicate": "proves", "object": "the progress in high - precision spectroscopy requires one to verify the accuracy of theoretical mod"}
{"subject": "math:arxiv_170016", "predicate": "proves", "object": "we discuss the effects of a ( possibly ) negative @xmath0 type contribution to the friedmann equatio"}
{"subject": "math:arxiv_170020", "predicate": "proves", "object": "we describe a scenario for the sunspot magnetic field topology that may account for recent observati"}
{"subject": "math:arxiv_170023", "predicate": "proves", "object": "recently a lot of evidence that there exists a critical end point ( cep ) in the qcd phase diagram h"}
{"subject": "math:arxiv_170028", "predicate": "proves", "object": "we connect generalizations of poisson algebras with the classical and associative yang - baxter equa"}
{"subject": "math:arxiv_170031", "predicate": "proves", "object": "differential complexes such as the de rham complex have recently come to play an important role in t"}
{"subject": "math:arxiv_170034", "predicate": "proves", "object": "as part of a challenge to critics of bell s analysis of the epr argument , framed in the form of a b"}
{"subject": "math:arxiv_170047", "predicate": "proves", "object": "let @xmath0 , be a bounded open set , and denote by @xmath1 , the eigenvalues of the dirichlet lapla"}
{"subject": "math:arxiv_170052", "predicate": "proves", "object": "we consider a variant of the brane - world model in which the universe is the direct product of a fr"}
{"subject": "math:arxiv_170070", "predicate": "proves", "object": "standard perturbative calculations lead to pathologically large nlo corrections to low-@xmath0 evolu"}
{"subject": "math:arxiv_170079", "predicate": "proves", "object": "we consider the dynamics of cargo driven by a collection of interacting molecular motors in the cont"}
{"subject": "math:arxiv_170088", "predicate": "proves", "object": "we investigate pump - induced exciton inversion in a quantum - dot cavity system with continuous wav"}
{"subject": "math:arxiv_170093", "predicate": "proves", "object": "an overview is given on recent developments in the affine weyl group approach to painlev equations a"}
{"subject": "math:arxiv_170094", "predicate": "proves", "object": "we consider a brane world scenario in which the bulk action is assumed to have the form of a generic"}
{"subject": "math:arxiv_170109", "predicate": "proves", "object": "a short , elementary proof is given of the result : the number of components of a link arising from "}
{"subject": "math:arxiv_170116", "predicate": "proves", "object": "the article mainly presents some results in using maple platform for computer algebra ( ca ) and grt"}
{"subject": "math:arxiv_170120", "predicate": "proves", "object": "bifurcation equations , non - degeneracy and transversality conditions are obtained for the fold , t"}
{"subject": "math:arxiv_170121", "predicate": "proves", "object": "we construct a nonstandard finite difference numerical scheme to approximate stochastic differential"}
{"subject": "math:arxiv_170128", "predicate": "proves", "object": "the so called gell - mann or decontraction formula is proposed as an algebraic expression inverse to"}
{"subject": "math:arxiv_170137", "predicate": "proves", "object": "the magnetization dynamics of ferromagnets are often formulated in terms of the landau - lifshitz - "}
{"subject": "math:arxiv_170138", "predicate": "proves", "object": "a new algorithm is introduced to integrate the equations of rotational motion . \n the algorithm is d"}
{"subject": "math:arxiv_170143", "predicate": "proves", "object": "the hypergeometric functions @xmath0 are higher transcendental functions , but for certain parameter"}
{"subject": "math:arxiv_170147", "predicate": "proves", "object": "in this investigation we revisit the concept of `` effective free surfaces '' arising in the solutio"}
{"subject": "math:arxiv_170157", "predicate": "proves", "object": "we briefly review the hopf algebra structure arising in the renormalization of quantum field theorie"}
{"subject": "math:arxiv_170162", "predicate": "proves", "object": "the two - dimensional steady - state boltzmann equation for hard - disk molecules in the presence of"}
{"subject": "math:arxiv_170174", "predicate": "proves", "object": "we re - derive the renormalization group equation for the effective coupling of the dimension five o"}
{"subject": "math:arxiv_170180", "predicate": "proves", "object": "the spin is an important but poorly constrained parameter for describing supermassive black holes ( "}
{"subject": "math:arxiv_170195", "predicate": "proves", "object": "we present a new fermi gas formalism for the abj matrix model . \n this formulation identifies the ef"}
{"subject": "math:arxiv_170202", "predicate": "proves", "object": "using nonstandard recursion relations for fresnel coefficients involving successive stacks of layers"}
{"subject": "math:arxiv_170219", "predicate": "proves", "object": "we describe the behavior as @xmath0 of the laplace transforms of @xmath1 , where @xmath2 a fixed com"}
{"subject": "math:arxiv_170250", "predicate": "proves", "object": "we derive a modified non - perturbative lorentz - abraham - dirac equation . \n it satisfies the prop"}
{"subject": "math:arxiv_170251", "predicate": "proves", "object": "analytics tasks manipulate structured data with variants of relational algebra ( ra ) and quantitati"}
{"subject": "math:arxiv_170259", "predicate": "proves", "object": "evidence from the lattice suggests that formation of a flux tube between a @xmath0 pair in the qcd v"}
{"subject": "math:arxiv_170279", "predicate": "proves", "object": "we derive a working model for the tolman - oppenheimer - volkoff equation for quark star systems wit"}
{"subject": "math:arxiv_170293", "predicate": "proves", "object": "the correlation is one of the most intriguing properties of grbs , with significant implications for"}
{"subject": "math:arxiv_170304", "predicate": "proves", "object": "we investigate certain arithmetic properties of field theories . in particular , we study the vacuum"}
{"subject": "math:arxiv_170334", "predicate": "proves", "object": "we illustrate some physical application of a lattice formulation of the two - dimensional @xmath0 su"}
{"subject": "math:arxiv_170345", "predicate": "proves", "object": "_ integral _ and _ rxte _ performed three simultaneous observations of the nearby radio galaxy centa"}
{"subject": "math:arxiv_170347", "predicate": "proves", "object": "topology of urban environments can be represented by means of graphs . \n we explore the graph repres"}
{"subject": "math:arxiv_170365", "predicate": "proves", "object": "we examine the static and dynamic stability of the solutions of the gross - pitaevskii equation and "}
{"subject": "math:arxiv_170385", "predicate": "proves", "object": "we study the transverse flow throughout the mass asymmetry range as a function of the impact paramet"}
{"subject": "math:arxiv_170386", "predicate": "proves", "object": "by applying birkhoff s theorem to the problem of the general relativistic collapse of a uniform dens"}
{"subject": "math:arxiv_170398", "predicate": "proves", "object": "in this theoretical investigation we address the effect of defects on thermal excitations in square "}
{"subject": "math:arxiv_170403", "predicate": "proves", "object": "we introduce a new class of finite dimensional gentle algebras , the _ surface algebras _ , which ar"}
{"subject": "math:arxiv_170418", "predicate": "proves", "object": "the purpose of this contribution is to review some aspects of the loop space formulation of pure gau"}
{"subject": "math:arxiv_170429", "predicate": "proves", "object": "we prove the security of a quantum key distribution scheme based on transmission of squeezed quantum"}
{"subject": "math:arxiv_170430", "predicate": "proves", "object": "finite - gap integration ; algebraic - geometric methods ; soliton theory ; algebraic curves ; spect"}
{"subject": "math:arxiv_170448", "predicate": "proves", "object": "a model of unsteady filtration ( seepage ) in a porous medium with capillary retention is considered"}
{"subject": "math:arxiv_170464", "predicate": "proves", "object": "the most popular noncommutative field theories are characterized by a matrix parameter @xmath0 that "}
{"subject": "math:arxiv_170466", "predicate": "proves", "object": "formulas are derived to compute the mean number of times a site has been visited during symmetric le"}
{"subject": "math:arxiv_170473", "predicate": "proves", "object": "we investigate the distribution of lengths obtained by intersecting a random geodesic with a geodesi"}
{"subject": "math:arxiv_170479", "predicate": "proves", "object": "this note collects formulas relative to the energy dependence of the cross sections for open charm a"}
{"subject": "math:arxiv_170486", "predicate": "proves", "object": "we study the quantum propagation of a skyrmion in chiral magnetic insulators by generalizing the mic"}
{"subject": "math:arxiv_170495", "predicate": "proves", "object": "this talk reports on the status of an approach to the numerical study of isolated systems with the c"}
{"subject": "math:arxiv_170496", "predicate": "proves", "object": "we propose a new method to obtain approximate solutions for the schrdinger equation with an arbitrar"}
{"subject": "math:arxiv_170497", "predicate": "proves", "object": "we make a conjecture about mean curvature flow of lagrangian submanifolds of calabi - yau manifolds "}
{"subject": "math:arxiv_170502", "predicate": "proves", "object": "this paper concerns piecewise - smooth maps on @xmath0 that are continuous but not differentiable on"}
{"subject": "math:arxiv_170508", "predicate": "proves", "object": "in this paper we propose a general functorial definition of the operation of _ local tropicalization"}
{"subject": "math:arxiv_170528", "predicate": "proves", "object": "tools for calculating the renormalization group equations for renormalizable and non - renormalizabl"}
{"subject": "math:arxiv_170530", "predicate": "proves", "object": "this paper gives answers to questions formulated as open in the paper `` on state observability in d"}
{"subject": "math:arxiv_170534", "predicate": "proves", "object": "based on sjgren und sjolander s mode - coupling(mc)-model , we have reformulated and calculated the "}
{"subject": "math:arxiv_170535", "predicate": "proves", "object": "@xmath0-analogues of the coefficients of @xmath1 in the expansion of @xmath2 are proposed . \n useful"}
{"subject": "math:arxiv_170547", "predicate": "proves", "object": "awake , the advanced proton - driven plasma wakefield acceleration experiment , is a proof - of - pr"}
{"subject": "math:arxiv_170556", "predicate": "proves", "object": "the conventional definition of the running coupling @xmath0 in quantum chromodynamics is based on a "}
{"subject": "math:arxiv_170568", "predicate": "proves", "object": "a review is presented of what we understand of colour confinement in qcd . \n lattice formulation pro"}
{"subject": "math:arxiv_170596", "predicate": "proves", "object": "in this paper we study the adjoint functors between the category of rota - baxter algebras and the c"}
{"subject": "math:arxiv_170600", "predicate": "proves", "object": "optimal control synthesis in stochastic systems with respect to quantitative temporal logic constrai"}
{"subject": "math:arxiv_170609", "predicate": "proves", "object": "motivated by the fact that the same social dilemma can be perceived differently by different players"}
{"subject": "math:arxiv_170629", "predicate": "proves", "object": "we present a new formulation of lagrangian perturbation theory which allows accurate predictions of "}
{"subject": "math:arxiv_170640", "predicate": "proves", "object": "the central engines of active galactic nuclei ( agn ) contain cold , dense material as well as hot x"}
{"subject": "math:arxiv_170643", "predicate": "proves", "object": "in this paper we study backward stochastic differential equations with general terminal value and ge"}
{"subject": "math:arxiv_170651", "predicate": "proves", "object": "we study the phase space of the evolution equation @xmath0 by means of a dissipated energy ( a liapu"}
{"subject": "math:arxiv_170677", "predicate": "proves", "object": "we calculate the scattering lengths of nambu - goldstone bosons interacting with @xmath0 mesons in a"}
{"subject": "math:arxiv_170682", "predicate": "proves", "object": "we present new static spherically - symmetric exact solutions of einstein equations with the quintes"}
{"subject": "math:arxiv_170696", "predicate": "proves", "object": "we survey rigorous , formal , and numerical results on the formation of point - like singularities ("}
{"subject": "math:arxiv_170701", "predicate": "proves", "object": "we study the sound perturbation of the hydrodynamic vortex geometry and present an exact expression "}
{"subject": "math:arxiv_170705", "predicate": "proves", "object": "we prove a chekanov - type theorem for the spherization of the cotangent bundle @xmath0 of a closed "}
{"subject": "math:arxiv_170718", "predicate": "proves", "object": "we study a particular nonlinear dispersion relation @xmath0  a series expansion in the physical wave"}
{"subject": "math:arxiv_170742", "predicate": "proves", "object": "in this work we study the asymptotic behavior of the curves of the fuk spectrum for weighted second "}
{"subject": "math:arxiv_170745", "predicate": "proves", "object": "associated to any graph is a toric ideal whose generators record relations among the cuts of the gra"}
{"subject": "math:arxiv_170752", "predicate": "proves", "object": "the hilbert scheme @xmath0}$ ] of points on an algebraic surface @xmath1 is a simple example of a mo"}
{"subject": "math:arxiv_170775", "predicate": "proves", "object": "we consider a series of distorted black hole initial data sets , and develop techniques to evolve th"}
{"subject": "math:arxiv_170779", "predicate": "proves", "object": "the game dynamical equations are derived from boltzmann - like equations for individual pair interac"}
{"subject": "math:arxiv_170798", "predicate": "proves", "object": "solvent loss due to evaporation in a drying drop can drive capillary flows and solute migration . \n "}
{"subject": "math:arxiv_170799", "predicate": "proves", "object": "we prove an analog of the famous equidistribution theorem of brolin for rational mappings in one var"}
{"subject": "math:arxiv_170802", "predicate": "proves", "object": "the debye source representation for solutions to the time harmonic maxwell equations is extended to "}
{"subject": "math:arxiv_170804", "predicate": "proves", "object": "in this paper we test a special - relativistic formulation of smoothed particle hydrodynamics ( sph "}
{"subject": "math:arxiv_170856", "predicate": "proves", "object": "this is a follow - up of our previous article @xcite where we proved local stability estimates for a"}
{"subject": "math:arxiv_170889", "predicate": "proves", "object": "we prove an effective bound for the degrees of generators of the algebraic de rham cohomology of smo"}
{"subject": "math:arxiv_170890", "predicate": "proves", "object": "we consider a mixed stochastic differential equation @xmath0 driven by independent multidimensional "}
{"subject": "math:arxiv_170904", "predicate": "proves", "object": "a lower bound for the interleaving distance on persistence vector spaces is given in terms of rank i"}
{"subject": "math:arxiv_170917", "predicate": "proves", "object": "truemper configurations are four types of graphs ( namely thetas , wheels , prisms and pyramids ) th"}
{"subject": "math:arxiv_170919", "predicate": "proves", "object": "quadratic curvature corrections to einstein - hilbert action lead in general to higher - order equat"}
{"subject": "math:arxiv_170926", "predicate": "proves", "object": "we present a new algorithm based on a cartesian mesh for the numerical approximation of kinetic mode"}
{"subject": "math:arxiv_170928", "predicate": "proves", "object": "we formulate a multi - variable @xmath0-adic birch and swinnerton - dyer conjecture for @xmath0-ordi"}
{"subject": "math:arxiv_170930", "predicate": "proves", "object": "in this paper we analyze the properties of a dc squid when the london penetration depth @xmath0 is l"}
{"subject": "math:arxiv_170938", "predicate": "proves", "object": "the fractional fokker - planck equation for subdiffusion in time - dependent force fields is derived"}
{"subject": "math:arxiv_170961", "predicate": "proves", "object": "two methods for computing bound states of the helmholtz equation in a finite domain are presented . "}
{"subject": "math:arxiv_170970", "predicate": "proves", "object": "we study second - order cosmological perturbations in scalar - tensor models of dark energy that sat"}
{"subject": "math:arxiv_170971", "predicate": "proves", "object": "the erds - gallai theorem states that for @xmath0 , every graph of average degree more than @xmath1 "}
{"subject": "math:arxiv_170985", "predicate": "proves", "object": "the purpose of this paper is to study @xmath0-semi - invariant warped product submanifolds of a para"}
{"subject": "math:arxiv_171011", "predicate": "proves", "object": "the theorem of pusey , barrett , and rudolph proves that different quantum states describe different"}
{"subject": "math:arxiv_171012", "predicate": "proves", "object": "we solve the klein - gordon equation in the presence of a spatially one - dimensional cusp potential"}
{"subject": "math:arxiv_171034", "predicate": "proves", "object": "in a previous paper of ours @xcite we have considered the incompressible navier - stokes ( ns ) equa"}
{"subject": "math:arxiv_171043", "predicate": "proves", "object": "by using a correlated projection operator , the time - convolutionless ( tcl ) method to derive a qu"}
{"subject": "math:arxiv_171063", "predicate": "proves", "object": "consider a stein manifold @xmath0 obtained by plumbing cotangent bundles of manifolds of dimension g"}
{"subject": "math:arxiv_171077", "predicate": "proves", "object": "here we correct , extend , and clarify results concerning the spin hamiltonian @xmath0 used to descr"}
{"subject": "math:arxiv_171088", "predicate": "proves", "object": "we solve the klein - gordon equation in the presence of the hyperbolic tangent potential . \n the sca"}
{"subject": "math:arxiv_171099", "predicate": "proves", "object": "the equilibrium dynamics of a thin film type ii superconductor with spherical geometry are investiga"}
{"subject": "math:arxiv_171116", "predicate": "proves", "object": "let @xmath0 be a geometrically bounded symplectic manifold , @xmath1 a closed , regular ( i.e. `` fi"}
{"subject": "math:arxiv_171167", "predicate": "proves", "object": "we present an efficient and flexible method for solving the non - linear lasing equations of the ste"}
{"subject": "math:arxiv_171173", "predicate": "proves", "object": "we introduce the quantum gromov - hausdorff propinquity , a new distance between quantum compact met"}
{"subject": "math:arxiv_171178", "predicate": "proves", "object": "we characterize the boundary at infinity of a complex hyperbolic space as a compact ptolemy space th"}
{"subject": "math:arxiv_171205", "predicate": "proves", "object": "we prove that spatial kerr solitons , usually obtained in the frame of nonlinear schrdinger equation"}
{"subject": "math:arxiv_171209", "predicate": "proves", "object": "we approach higher - order variational problems of herglotz type from an optimal control point of vi"}
{"subject": "math:arxiv_171210", "predicate": "proves", "object": "we numerically solve the transport equations for a quark gas described by the the nambu  jona - lasi"}
{"subject": "math:arxiv_171211", "predicate": "proves", "object": "the internal motion in a molecule , in which isomerization processes occur , is characterized by two"}
{"subject": "math:arxiv_171234", "predicate": "proves", "object": "quantum periodic cluster methods for strongly correlated electron systems are reformulated and devel"}
{"subject": "math:arxiv_171281", "predicate": "proves", "object": "we study a class of integrodifferential equations and related ordinary differential equations for th"}
{"subject": "math:arxiv_171291", "predicate": "proves", "object": "in certain string inspired higher dimensional cosmological models it has been conjectured that there"}
{"subject": "math:arxiv_171292", "predicate": "proves", "object": "we study the light quark mass dependence of the @xmath0 and @xmath1 meson decay constants , @xmath2 "}
{"subject": "math:arxiv_171293", "predicate": "proves", "object": "we propose a variant formulation of hamiltonian systems by the use of variables including redundant "}
{"subject": "math:arxiv_171298", "predicate": "proves", "object": "we herein formulate the concept of a generalized lock - in amplifier for the precision measurement o"}
{"subject": "math:arxiv_171355", "predicate": "proves", "object": "modulation of spin torque oscillators ( stos ) is investigated by analytically solving the time - de"}
{"subject": "math:arxiv_171361", "predicate": "proves", "object": "based on the suzuki product - formula approach , we construct a family of unconditionally stable alg"}
{"subject": "math:arxiv_171415", "predicate": "proves", "object": "we investigate the nonequilibrium behavior of a one - dimensional binary fluid on the basis of boltz"}
{"subject": "math:arxiv_171432", "predicate": "proves", "object": "we investigate the phase diagram of two - component fermions in the bcs - bec crossover . using func"}
{"subject": "math:arxiv_171448", "predicate": "proves", "object": "in this paper we derive the condition providing the on - shell equivalence of @xmath0-type and wzw -"}
{"subject": "math:arxiv_171457", "predicate": "proves", "object": "we consider a class of finite - dimensional algebras , the so - called staircase algebras   parametr"}
{"subject": "math:arxiv_171459", "predicate": "proves", "object": "we analyse the distribution of abell clusters of galaxies to study the regularity of the supercluste"}
{"subject": "math:arxiv_171463", "predicate": "proves", "object": "we discuss the general three - particle quantum scattering problem , for motion restricted to the fu"}
{"subject": "math:arxiv_171468", "predicate": "proves", "object": "in our former contribution  @xcite , we have shown the sensitivity to the choice of initial conditio"}
{"subject": "math:arxiv_171474", "predicate": "proves", "object": "in telatar 1999 ( @xcite ) , it is conjectured that the covariance matrices minimizing the outage pr"}
{"subject": "math:arxiv_171484", "predicate": "proves", "object": "in this paper , we give a general deformation theoretical set up for the problem of the corresponden"}
{"subject": "math:arxiv_171491", "predicate": "proves", "object": "we consider slepian - wolf code design based on ldpc ( low - density parity - check ) coset codes fo"}
{"subject": "math:arxiv_171504", "predicate": "proves", "object": "we examine heterotic m - theory compactified on a calabi - yau manifold with an additional parallel "}
{"subject": "math:arxiv_171510", "predicate": "proves", "object": "we examine the general question of statistical changes experienced by ensembles of nonlinear random "}
{"subject": "math:arxiv_171524", "predicate": "proves", "object": "the grbner walk is an algorithm for conversion between grbner bases for different term orders . \n it"}
{"subject": "math:arxiv_171530", "predicate": "proves", "object": "we perform a phase - space analysis of the cosmological 3-fluid problem consisting of a barotropic f"}
{"subject": "math:arxiv_171556", "predicate": "proves", "object": "let @xmath0 be a closed three dimensional manifold with contact form @xmath1 so that @xmath2 is tigh"}
{"subject": "math:arxiv_171570", "predicate": "proves", "object": "we reconsider a well - known relationship between the fluctuation theorem and the second law of ther"}
{"subject": "math:arxiv_171578", "predicate": "proves", "object": "the formulation of the eigenvalue problem for the schrdinger equation is studied , for the numerical"}
{"subject": "math:arxiv_171581", "predicate": "proves", "object": "we study quantum systems with even numbers @xmath0 of levels that are completely state - controlled "}
{"subject": "math:arxiv_171621", "predicate": "proves", "object": "the appearance of numbers enumerating alternating sign matrices in stationary states of certain stoc"}
{"subject": "math:arxiv_171663", "predicate": "proves", "object": "we show how a lattice approach can be used to derive thermodynamic bethe ansatz ( tba ) equations de"}
{"subject": "math:arxiv_171671", "predicate": "proves", "object": "we examine the nonperturbative effect of instrinsic maximum momentum on the relativistic wave equati"}
{"subject": "math:arxiv_171681", "predicate": "proves", "object": "in this paper we present an extension of standard iterative splitting schemes to multiple splitting "}
{"subject": "math:arxiv_171682", "predicate": "proves", "object": "supervised learning with a deep convolutional neural network is used to identify the qcd equation of"}
{"subject": "math:arxiv_171687", "predicate": "proves", "object": "we construct the equation of state ( eos ) in a wide density range for neutron stars using the relat"}
{"subject": "math:arxiv_171689", "predicate": "proves", "object": "we propose a novel quasiparticle interpretation of the equation of state of deconfined qcd at finite"}
{"subject": "math:arxiv_171695", "predicate": "proves", "object": "we consider exclusive @xmath0 and @xmath1 reactions at high energies . \n the calculation is based on"}
{"subject": "math:arxiv_171715", "predicate": "proves", "object": "we introduce and study the so - called serpentine representations of the infinite symmetric group @x"}
{"subject": "math:arxiv_171717", "predicate": "proves", "object": "we consider the dispersion properties of tracer particles moving in non - equilibrium heterogeneous "}
{"subject": "math:arxiv_171759", "predicate": "proves", "object": "we describe the @xmath0-dimensional wolf spaces as cohomogeneity one @xmath1-manifolds , and discove"}
{"subject": "math:arxiv_171763", "predicate": "proves", "object": "we review a system of autonomous differential equations developed in our previous work @xcite descri"}
{"subject": "math:arxiv_171773", "predicate": "proves", "object": "we develop the general formalism for the study of neutrino propagation in presence of stochastic med"}
{"subject": "math:arxiv_171777", "predicate": "proves", "object": "54.8pt 54.8pt we formulate the dynamical mean field approximation equations for the double - exchang"}
{"subject": "math:arxiv_171782", "predicate": "proves", "object": "following a polynomial approach , many robust fixed - order controller design problems can be formul"}
{"subject": "math:arxiv_171786", "predicate": "proves", "object": "self - dual yang - mills instantons on @xmath0 correspond to algebraic adhm data . \n the adhm equati"}
{"subject": "math:arxiv_171787", "predicate": "proves", "object": "proctor proved a formula for the number of lozenge tilings of a hexagon with side - lengths @xmath0 "}
{"subject": "math:arxiv_171794", "predicate": "proves", "object": "the boundary of the convex hull of a compact algebraic curve in real @xmath0-space defines a real al"}
{"subject": "math:arxiv_171802", "predicate": "proves", "object": "denoting by @xmath0 the set of the pairs @xmath1 for all the open sets @xmath2 with unit measure , a"}
{"subject": "math:arxiv_171815", "predicate": "proves", "object": "phase transitions with spontaneous symmetry breaking and vector order parameter are considered in mu"}
{"subject": "math:arxiv_171821", "predicate": "proves", "object": "we propose a general method to study the solutions to nonlinear qcd evolution equations , based on a"}
{"subject": "math:arxiv_171842", "predicate": "proves", "object": "via considerations of symplectic reduction , monodromy , mirror symmetry and chern - simons function"}
{"subject": "math:arxiv_171893", "predicate": "proves", "object": "with the ever - increasing quantity and variety of data worldwide , the web has become a rich reposi"}
{"subject": "math:arxiv_171931", "predicate": "proves", "object": "negative index of refraction has become an accepted part of transformation optics , which is encount"}
{"subject": "math:arxiv_171933", "predicate": "proves", "object": "we have measured extremely large coercive magnetic fields of up to 55  t in sr@xmath0niiro@xmath1 , "}
{"subject": "math:arxiv_171936", "predicate": "proves", "object": "gravitational wave observations can potentially measure properties of neutron star equations of stat"}
{"subject": "math:arxiv_171947", "predicate": "proves", "object": "the time dependent schrdinger equation for @xmath0@xmath1 pairs , which are emitted from the interac"}
{"subject": "math:arxiv_171965", "predicate": "proves", "object": "we investigate applicability of the hasselmann kinetic equation to the spectrum of surface gravity w"}
{"subject": "math:arxiv_171983", "predicate": "proves", "object": "first , we provide another proof that the signed count of the real @xmath0-holomorphic spheres ( or "}
{"subject": "math:arxiv_172002", "predicate": "proves", "object": "formulae are provided to express any two - loop scalar integral with arbitrary masses and arbitrary "}
{"subject": "math:arxiv_172004", "predicate": "proves", "object": "algebraic space  time coding  a powerful technique developed in the context of multiple - input mult"}
{"subject": "math:arxiv_172027", "predicate": "proves", "object": "this dissertation concerns the classification of groupoid and higher - rank graph @xmath0-algebras a"}
{"subject": "math:arxiv_172036", "predicate": "proves", "object": "we show how the new precise data on kaon decays together with forward dispersion relations , sum rul"}
{"subject": "math:arxiv_172042", "predicate": "proves", "object": "einstein s field equations for spatially self - similar spherically symmetric perfect - fluid models"}
{"subject": "math:arxiv_172050", "predicate": "proves", "object": "this note compares the usual ( absolute ) gromov - witten invariants of a symplectic manifold with t"}
{"subject": "math:arxiv_172051", "predicate": "proves", "object": "we present a generic quantum master equation whose dissipative dynamics autonomously stabilizes a ha"}
{"subject": "math:arxiv_172062", "predicate": "proves", "object": "the functioning of animal as well as human societies fundamentally relies on cooperation . yet \n , d"}
{"subject": "math:arxiv_172073", "predicate": "proves", "object": "in this study , we formulate positive and negative externalities caused by changes in the supply of "}
{"subject": "math:arxiv_172082", "predicate": "proves", "object": "proposed in this paper is a numerical procedure to generate periodic traveling wave solutions of som"}
{"subject": "math:arxiv_172083", "predicate": "proves", "object": "we treat theoretically shapiro steps in tunnel josephson junctions with spatially alternating critic"}
{"subject": "math:arxiv_172101", "predicate": "proves", "object": "geographic routing protocols greatly reduce the requirements of topology storage and provide flexibi"}
{"subject": "math:arxiv_172123", "predicate": "proves", "object": "we discuss computational analysis of phononic thermal conduction in the suspended membrane geometry "}
{"subject": "math:arxiv_172125", "predicate": "proves", "object": "we review the geometry of k3 surfaces and then describe this geometry from the point of view of an a"}
{"subject": "math:arxiv_172131", "predicate": "proves", "object": "computer simulations of decoherence in quantum spin systems require the solution of the time - depen"}
{"subject": "math:arxiv_172136", "predicate": "proves", "object": "real - time nonequilibrium quantum dynamics of electrons in double - dot aharonov - bohm ( ab ) inte"}
{"subject": "math:arxiv_172168", "predicate": "proves", "object": "in the present paper a description of a problem of point vortices on a plane and a sphere in the `` "}
{"subject": "math:arxiv_172170", "predicate": "proves", "object": "starting from the virasoro algebra and its relatives the generalization to higher genus compact riem"}
{"subject": "math:arxiv_172171", "predicate": "proves", "object": "using tropical geometry , mikhalkin has proved that every smooth complex hypersurface in @xmath0 dec"}
{"subject": "math:arxiv_172178", "predicate": "proves", "object": "we investigate , analytically and numerically , the fermion determinant of a new action on a ( 1 + 1"}
{"subject": "math:arxiv_172181", "predicate": "proves", "object": "jarzynski equality and related fluctuation theorems can be formulated for various setups . \n such an"}
{"subject": "math:arxiv_172209", "predicate": "proves", "object": "whereas subriemannian geometry usually deals with smooth horizontal distributions , partially hyperb"}
{"subject": "math:arxiv_172213", "predicate": "proves", "object": "the paper introduces the notion of a weak bisimulation for coalgebras whose type is a monad satisfyi"}
{"subject": "math:arxiv_172233", "predicate": "proves", "object": "we measure the topology of the main galaxy distribution using the seventh data release of the sloan "}
{"subject": "math:arxiv_172250", "predicate": "proves", "object": "we survey aspects of classical combinatorial sutured manifold theory and show how they can be adapte"}
{"subject": "math:arxiv_172270", "predicate": "proves", "object": "we consider a formulation of cauchy problem for kolmogorov equation which corresponds a localized so"}
{"subject": "math:arxiv_172272", "predicate": "proves", "object": "closed formulas are derived for the field in the focal region of a diffraction limited lens , such t"}
{"subject": "math:arxiv_172274", "predicate": "proves", "object": "the bhatnagar - gross - krook kinetic model of the boltzmann equation is solved for the steady cylin"}
{"subject": "math:arxiv_172282", "predicate": "proves", "object": "quantum hall dynamics is formulated on von neumann lattice representation where electrons in landau "}
{"subject": "math:arxiv_172304", "predicate": "proves", "object": "the chaplygin gas model , characterized by an equation of state of the type @xmath0 emerges naturall"}
{"subject": "math:arxiv_172305", "predicate": "proves", "object": "heavy baryon chiral perturbation theory ( hbchpt ) to leading order provides a kernel to solve the b"}
{"subject": "math:arxiv_172309", "predicate": "proves", "object": "a new recursive procedure of the calculation of partition numbers function @xmath0 is suggested . \n "}
{"subject": "math:arxiv_172318", "predicate": "proves", "object": "we investigate the properties of a static , cylindrically symmetric majumdar - papapetrou - type sol"}
{"subject": "math:arxiv_172325", "predicate": "proves", "object": "we consider an arbitrary linear elliptic first \n order differential operator @xmath0 with smooth coe"}
{"subject": "math:arxiv_172330", "predicate": "proves", "object": "we calculate the classical cross - section for absorption of a minimally coupled scalar in the doubl"}
{"subject": "math:arxiv_172378", "predicate": "proves", "object": "the product of two schubert cohomology classes on a grassmannian @xmath0 has long been known to be a"}
{"subject": "math:arxiv_172421", "predicate": "proves", "object": "it is shown that given any link - manifold , there is an algorithm to decide if the manifold contain"}
{"subject": "math:arxiv_172447", "predicate": "proves", "object": "using elements of symmetry , as gauge invariance , several aspects of a schrdinger equation represen"}
{"subject": "math:arxiv_172449", "predicate": "proves", "object": "we show numerically that the abelian higgs field equations in the background of a four - dimensional"}
{"subject": "math:arxiv_172450", "predicate": "proves", "object": "we show that the asymptotically flat hairy black holes , solutions of the einstein field equations m"}
{"subject": "math:arxiv_172463", "predicate": "proves", "object": "we consider planar solutions to certain quasilinear elliptic equations subject to the dirichlet boun"}
{"subject": "math:arxiv_172468", "predicate": "proves", "object": "we study the exact statistical mechanics of lam solitons using a transfer matrix method . \n this req"}
{"subject": "math:arxiv_172488", "predicate": "proves", "object": "in this paper , a lattice boltzmann equation ( lbe ) model is proposed for binary fluids based on a "}
{"subject": "math:arxiv_172489", "predicate": "proves", "object": "we consider the perturbed mkdv equation @xmath0 where the potential @xmath1 , @xmath2 , is slowly va"}
{"subject": "math:arxiv_172503", "predicate": "proves", "object": "the generating function of cubic hodge integrals satisfying the local calabi - yau condition is conj"}
{"subject": "math:arxiv_172518", "predicate": "proves", "object": "a linard type nonlinear oscillator of the form @xmath0 , which may also be considered as a generaliz"}
{"subject": "math:arxiv_172532", "predicate": "proves", "object": "the serre - swan theorem in differential geometry establishes an equivalence between the category of"}
{"subject": "math:arxiv_172538", "predicate": "proves", "object": "in this paper , we study the topology of topologically regular 4-dimensional open non - negatively c"}
{"subject": "math:arxiv_172540", "predicate": "proves", "object": "a new approach to the construction of index formulas for elliptic operators on singular manifolds is"}
{"subject": "math:arxiv_172542", "predicate": "proves", "object": "an entropic formulation of relativistic continuum mechanics is developed in the landau - lifshitz fr"}
{"subject": "math:arxiv_172559", "predicate": "proves", "object": "with reasonable assumptions and approximations , we compute the velocity of the meridional flow @xma"}
{"subject": "math:arxiv_172577", "predicate": "proves", "object": "we investigate the properties of single - particle resonances in a non - spherical potential by solv"}
{"subject": "math:arxiv_172595", "predicate": "proves", "object": "the reparametrization symmetries of witten s vertex in ordinary or vacuum string field theories can "}
{"subject": "math:arxiv_172618", "predicate": "proves", "object": "from the point of view of discrete geometry , the class of locally finite transitive graphs is a wid"}
{"subject": "math:arxiv_172636", "predicate": "proves", "object": "we determine the algebra of isovectors for the black  scholes equation . as a consequence , we obtai"}
{"subject": "math:arxiv_172653", "predicate": "proves", "object": "theory for the rabi and internal josephson effects in an interacting bose gas in the cold collision "}
{"subject": "math:arxiv_172663", "predicate": "proves", "object": "we describe a class of exactly - solvable models of interacting bosons based on the algebra so(3,2 )"}
{"subject": "math:arxiv_172665", "predicate": "proves", "object": "binding energies calculated from using the bethe - salpeter equation in the simplest ladder approxim"}
{"subject": "math:arxiv_172676", "predicate": "proves", "object": "we construct a natural framed weight system on chord diagrams from the curvature tensor of any pseud"}
{"subject": "math:arxiv_172686", "predicate": "proves", "object": "we present a `` topological '' formulation of arbitrarily shaped vortex strings in four dimensional "}
{"subject": "math:arxiv_172693", "predicate": "proves", "object": "the phase behavior of ising spin fluids is studied in the presence of an external magnetic field wit"}
{"subject": "math:arxiv_172696", "predicate": "proves", "object": "we have studied the dependence of topology of large scale structure on tracer , gravitational evolut"}
{"subject": "math:arxiv_172698", "predicate": "proves", "object": "this is the first in a series of papers where we will derive invariants of three - manifolds and fra"}
{"subject": "math:arxiv_172701", "predicate": "proves", "object": "we solve the gross - pitaevskii ( gp ) and bogoliubov equations to investigate the metastability of "}
{"subject": "math:arxiv_172708", "predicate": "proves", "object": "proof of security of cryptographic protocols theoretically establishes the strength of a protocol an"}
{"subject": "math:arxiv_172714", "predicate": "proves", "object": "we investigate capabilities of the effective interaction in a rainbow - ladder truncated meson model"}
{"subject": "math:arxiv_172731", "predicate": "proves", "object": "we obtain the global smooth effects for the solutions of the linear schrdinger equation in anisotrop"}
{"subject": "math:arxiv_172744", "predicate": "proves", "object": "in this note , we consider the minimum number of not operators in a boolean formula representing a b"}
{"subject": "math:arxiv_172753", "predicate": "proves", "object": "in this article , we construct loop soliton solutions and mixed soliton - loop soliton solution for "}
{"subject": "math:arxiv_172761", "predicate": "proves", "object": "the tomographic probability distribution is used to decribe the kinetic equations for open quantum s"}
{"subject": "math:arxiv_172766", "predicate": "proves", "object": "we address the issue why the phase diagrams for quasi - one - dimensional systems are rather simple "}
{"subject": "math:arxiv_172769", "predicate": "proves", "object": "the possibility for the jacobi equation to admit in some cases general solutions that are polynomial"}
{"subject": "math:arxiv_172780", "predicate": "proves", "object": "a general method is established to derive a ground - complete axiomatization for a weak semantics fr"}
{"subject": "math:arxiv_172784", "predicate": "proves", "object": "we study the type 0a string theory in the @xmath0 superconformal minimal model backgrounds , focusin"}
{"subject": "math:arxiv_172832", "predicate": "proves", "object": "we investigate the possibility of obtaining non - singular black - hole solutions in the brane world"}
{"subject": "math:arxiv_172835", "predicate": "proves", "object": "the goal of this work is the identification of humans based on motion data in the form of natural ha"}
{"subject": "math:arxiv_172843", "predicate": "proves", "object": "we have recently studied the qcd pomeron loop evolution equations in zero transverse dimensions  @xc"}
{"subject": "math:arxiv_172846", "predicate": "proves", "object": "we study the motion of solitary - wave solutions of a family of focusing generalized nonlinear schrd"}
{"subject": "math:arxiv_172871", "predicate": "proves", "object": "we present results for the equation of state for pure su(3 ) gauge theory obtained on anisotropic la"}
{"subject": "math:arxiv_172893", "predicate": "proves", "object": "we discuss a numerical algorithm for solving nonlinear integro - differential equations , and illust"}
{"subject": "math:arxiv_172894", "predicate": "proves", "object": "machine translation ( mt ) has recently been formulated in terms of constraint - based knowledge rep"}
{"subject": "math:arxiv_172899", "predicate": "proves", "object": "we numerically solve the functional differential equations ( fde s ) of 2-particle electrodynamics ,"}
{"subject": "math:arxiv_172970", "predicate": "proves", "object": "we present @xmath0-body cosmlogical simulations in the framework of the newtonian limit of scalar - "}
{"subject": "math:arxiv_172975", "predicate": "proves", "object": "using quaternions , we give a concise derivation of the ricci tensor for homogeneous spaces with top"}
{"subject": "math:arxiv_172994", "predicate": "proves", "object": "we calculate the third coefficient of the lattice @xmath0-function associated with the wilson formul"}
{"subject": "math:arxiv_173006", "predicate": "proves", "object": "we discuss the stability of strangelets by considering dynamical chiral symmetry breaking . for quar"}
{"subject": "math:arxiv_173008", "predicate": "proves", "object": "we study the equations of wheeler - feynman electrodynamics which is an action - at - a - distance t"}
{"subject": "math:arxiv_173016", "predicate": "proves", "object": "this paper is devoted to studying the null and approximate controllability of two linear coupled par"}
{"subject": "math:arxiv_173023", "predicate": "proves", "object": "we show that a @xmath0-manifold containing an incompressible surface has topologically minimal surfa"}
{"subject": "math:arxiv_173071", "predicate": "proves", "object": "we consider triadic nonlinear interaction in the navier - stokes equation for quasi - geostrophic co"}
{"subject": "math:arxiv_173083", "predicate": "proves", "object": "we show that the success of cooperation in an evolutionary prisoner s dilemma on a complex network c"}
{"subject": "math:arxiv_173090", "predicate": "proves", "object": "the main objective of this paper is the construction of the solution of an impulsive stochastic diff"}
{"subject": "math:arxiv_173091", "predicate": "proves", "object": "three symbolic algorithms for testing the integrability of polynomial systems of partial differentia"}
{"subject": "math:arxiv_173094", "predicate": "proves", "object": "in this paper we investigate the general features of `` oscillatory inflation '' . in adiabatic appr"}
{"subject": "math:arxiv_173105", "predicate": "proves", "object": "a lax system in three variables is presented , two equations of which form the lax pair of the stati"}
{"subject": "math:arxiv_173137", "predicate": "proves", "object": "we formulate statistical - mechanical inverse methods in order to determine optimized interparticle "}
{"subject": "math:arxiv_173148", "predicate": "proves", "object": "the interlayer pair tunneling model of anderson _ \n et al_.  is generalized to include the strong co"}
{"subject": "math:arxiv_173155", "predicate": "proves", "object": "soliton strings in mode - locked lasers are obtained using a variant of the nonlinear schrdinger equ"}
{"subject": "math:arxiv_173159", "predicate": "proves", "object": "the equation of state ( eos ) in quartessence models interpolates between two stages : @xmath0 at hi"}
{"subject": "math:arxiv_173168", "predicate": "proves", "object": "we show that if @xmath0 is a frobenius manifold of dimension @xmath1 such that @xmath2 is semisimple"}
{"subject": "math:arxiv_173187", "predicate": "proves", "object": "we discuss the application of the mountain pass algorithm to the so - called quasi - linear schrding"}
{"subject": "math:arxiv_173233", "predicate": "proves", "object": "this paper explores the relation between convex functions and the geometry of space - times and semi"}
{"subject": "math:arxiv_173238", "predicate": "proves", "object": "an invariant of three - dimensional orientable manifolds is built on the base of a solution of penta"}
{"subject": "math:arxiv_173246", "predicate": "proves", "object": "a finite element - based modal formulation of diffraction of a plane wave by an absorbing photonic c"}
{"subject": "math:arxiv_173247", "predicate": "proves", "object": "let @xmath0 and @xmath1 be smooth riemannian manifolds with smooth compact boundaries and riemannian"}
{"subject": "math:arxiv_173263", "predicate": "proves", "object": "in the last few years the hydrodynamic formulation of quantum mechanics , equivalent to the bohmian "}
{"subject": "math:arxiv_173266", "predicate": "proves", "object": "we consider the massless tricritical ising model @xmath0 perturbed by the thermal operator @xmath1 i"}
{"subject": "math:arxiv_173276", "predicate": "proves", "object": "three - body calculations of @xmath0 and @xmath1 reactions involving one - neutron halo nuclei @xmat"}
{"subject": "math:arxiv_173278", "predicate": "proves", "object": "quasinormal ringing of acoustic black holes in laval nozzles is discussed . the equation for sounds "}
{"subject": "math:arxiv_173293", "predicate": "proves", "object": "in this paper we deal with several issues regarding the localisation properties of the unruh - dewit"}
{"subject": "math:arxiv_173296", "predicate": "proves", "object": "the aim of this paper is to discuss the main ideas of the talagrand proof of the parisi ansatz for t"}
{"subject": "math:arxiv_173298", "predicate": "proves", "object": "we consider two - parameter bifurcation of equilibrium states of an elastic rod on a deformable foun"}
{"subject": "math:arxiv_173299", "predicate": "proves", "object": "boltzmann equation requires some alternative simpler kinetic model like bgk to replace the collision"}
{"subject": "math:arxiv_173300", "predicate": "proves", "object": "in this paper , we analyse the einstein and einstein - maxwell billiards for all spatially homogeneo"}
{"subject": "math:arxiv_173327", "predicate": "proves", "object": "we introduce the notion of induced automorphisms in order to state a criterion to determine whether "}
{"subject": "math:arxiv_173341", "predicate": "proves", "object": "the argument is re - examined that the program of deriving the rule of state reduction from the schr"}
{"subject": "math:arxiv_173347", "predicate": "proves", "object": "we obtain time dependent @xmath0-gaussian wave - packet solutions to a non linear schrdinger equatio"}
{"subject": "math:arxiv_173359", "predicate": "proves", "object": "three dimensional topological insulator crystals consist of an insulating bulk enclosed by metallic "}
{"subject": "math:arxiv_173362", "predicate": "proves", "object": "it is shown how the 300 rays associated with the antipodal pairs of vertices of a 120-cell ( a four "}
{"subject": "math:arxiv_173371", "predicate": "proves", "object": "a new numerical code for computing stationary axisymmetric rapidly rotating stars in general relativ"}
{"subject": "math:arxiv_173372", "predicate": "proves", "object": "we use a recently - derived reformulation of the diffusion constant [ stillinger f h and debenedetti"}
{"subject": "math:arxiv_173378", "predicate": "proves", "object": "in this paper , we examine the question of the boundary controllability of the one - dimensional non"}
{"subject": "math:arxiv_173380", "predicate": "proves", "object": "we derive simplified faddeev type equations for the three particle t - matrix which are valid in the"}
{"subject": "math:arxiv_173383", "predicate": "proves", "object": "topological surgery is a mathematical technique used for creating new manifolds out of known ones . "}
{"subject": "math:arxiv_173423", "predicate": "proves", "object": "we prove that the depth of any arithmetic network for deciding membership in a semialgebraic set @xm"}
{"subject": "math:arxiv_173440", "predicate": "proves", "object": "by solving the two - body schordinger equation in a very high precise nonperturbative numerical ( np"}
{"subject": "math:arxiv_173441", "predicate": "proves", "object": "in this paper , we give an algorithm to build all compact orientable atoroidal haken 3-manifolds wit"}
{"subject": "math:arxiv_173463", "predicate": "proves", "object": "the holy grail of tumor modeling is to formulate theoretical and computational tools that can be uti"}
{"subject": "math:arxiv_173477", "predicate": "proves", "object": "the nonlocal symmetries for the modified kadomtsev - petviashvili ( mkp ) equation are obtained with"}
{"subject": "math:arxiv_173478", "predicate": "proves", "object": "we summarise a selection of results on the inviscid limit of the stochastic burgers equation emphasi"}
{"subject": "math:arxiv_173493", "predicate": "proves", "object": "the physical kinetics of single domain ferroelectric materials are studied using landau - khalatniko"}
{"subject": "math:arxiv_173497", "predicate": "proves", "object": "we discuss static , spherically symmetric solutions with an electric field in a quadratic extension "}
{"subject": "math:arxiv_173498", "predicate": "proves", "object": "in a @xmath0-manifold @xmath1 , let @xmath2 be a knot and @xmath3 be an annulus which meets @xmath2 "}
{"subject": "math:arxiv_173514", "predicate": "proves", "object": "due to the failure of birkhoff s theorem , black holes in @xmath0 gravity theories in which an effec"}
{"subject": "math:arxiv_173527", "predicate": "proves", "object": "for the 1d non - isentropic polytropic gas dynamics equations we find sufficient and necessary condi"}
{"subject": "math:arxiv_173535", "predicate": "proves", "object": "time - resolved polarisation measurements of pulsars offer an unique insight into the geometry of th"}
{"subject": "math:arxiv_173543", "predicate": "proves", "object": "using a one - zone model for the evolution of dust in spiral galaxies and applying the instantaneous"}
{"subject": "math:arxiv_173553", "predicate": "proves", "object": "homothetic scalar field collapse is considered in this article . by making a suitable choice of vari"}
{"subject": "math:arxiv_173554", "predicate": "proves", "object": "the radial motion of matter in a centrally symmetric gravitational field in a comoving reference fra"}
{"subject": "math:arxiv_173564", "predicate": "proves", "object": "we discuss the applicability of the wong formula for fusion cross sections in a single - channel pro"}
{"subject": "math:arxiv_173566", "predicate": "proves", "object": "a stochastic partial differential equation along the lines of the kardar - parisi - zhang equation i"}
{"subject": "math:arxiv_173591", "predicate": "proves", "object": "in this article , we start to recall the inversion formula for the convolution with the box spline ."}
{"subject": "math:arxiv_173595", "predicate": "proves", "object": "we propose that a weakly - coupled nonlinear dielectric waveguide  surface - plasmon system can be f"}
{"subject": "math:arxiv_173599", "predicate": "proves", "object": "let @xmath0 be a locally compact hausdorff space with @xmath1 proper continuous self maps @xmath2 fo"}
{"subject": "math:arxiv_173612", "predicate": "proves", "object": "in @xcite , the first author and his collaborators constructed the irreducible symplectic @xmath0-ma"}
{"subject": "math:arxiv_173622", "predicate": "proves", "object": "this paper discusses the stability to linearized radial perturbations of spherically symmetric thin "}
{"subject": "math:arxiv_173623", "predicate": "proves", "object": "this paper deals with the dynamics of scalar field thin shell in the reissner - nordstr@xmath0 m geo"}
{"subject": "math:arxiv_173625", "predicate": "proves", "object": "the lovsz local lemma is a seminal result in probabilistic combinatorics . \n it gives a sufficient c"}
{"subject": "math:arxiv_173644", "predicate": "proves", "object": "we define and study the renormalized volume for geometrically finite hyperbolic @xmath0-manifolds , "}
{"subject": "math:arxiv_173651", "predicate": "proves", "object": "the aim of this review is to outline a full route from the fundamental principles of algebraic quant"}
{"subject": "math:arxiv_173663", "predicate": "proves", "object": "we present a continuous finite element method for some examples of fully nonlinear elliptic equation"}
{"subject": "math:arxiv_173677", "predicate": "proves", "object": "we use a generalized master equation ( gme ) to describe the nonequilibrium magnetotransport of inte"}
{"subject": "math:arxiv_173716", "predicate": "proves", "object": "for complete intersection calabi  yau manifolds in toric varieties , gross and haase \n zharkov have "}
{"subject": "math:arxiv_173738", "predicate": "proves", "object": "the solution of polarized radiative transfer equation with angle - dependent ( ad ) partial frequenc"}
{"subject": "math:arxiv_173746", "predicate": "proves", "object": "on the grounds of a feynman - kac  type formula for hamiltonian lattice systems we derive analytical"}
{"subject": "math:arxiv_173747", "predicate": "proves", "object": "a new dark energy model in anisotropic bianchi type - iii space - time with variable equation of sta"}
{"subject": "math:arxiv_173751", "predicate": "proves", "object": "we study the topology and geometry of the moduli space of immersions of ellipses into a translation "}
{"subject": "math:arxiv_173761", "predicate": "proves", "object": "we prove the conjecture of baik , deift , and johansson which says that with respect to the plancher"}
{"subject": "math:arxiv_173762", "predicate": "proves", "object": "the self - propulsion of artificial and biological microswimmers ( i.e. , active colloidal particles"}
{"subject": "math:arxiv_173774", "predicate": "proves", "object": "we analyse the structure of the exact , dark and bright soliton solutions of the driven non - linear"}
{"subject": "math:arxiv_173786", "predicate": "proves", "object": "the recent discovery of zero - determinant strategies for the iterated prisoner s dilemma sparked a "}
{"subject": "math:arxiv_173789", "predicate": "proves", "object": "many apparently non - hermitian ring - shaped discrete lattices share the appeal with their more pop"}
{"subject": "math:arxiv_173799", "predicate": "proves", "object": "we present the implementation of turbulence transport equations in addition to the reynolds - averag"}
{"subject": "math:arxiv_173810", "predicate": "proves", "object": "we explore the connection between two recently introduced notions of non - markovian quantum dynamic"}
{"subject": "math:arxiv_173811", "predicate": "proves", "object": "we use the famous knot - theoretic consequence of freedman s disc theoremknots with trivial alexande"}
{"subject": "math:arxiv_173826", "predicate": "proves", "object": "we investigate the vacuum and charged spherically symmetric static solutions of the einstein equatio"}
{"subject": "math:arxiv_173833", "predicate": "proves", "object": "we study deformations of plane curves in the similarity geometry . \n it is known that continuous def"}
{"subject": "math:arxiv_173835", "predicate": "proves", "object": "we prove the global well - posedness and scattering for the defocusing @xmath0-subcritical ( that is"}
{"subject": "math:arxiv_173837", "predicate": "proves", "object": "in 1930s paul erds conjectured that for any positive integer @xmath0 in any infinite @xmath1 sequenc"}
{"subject": "math:arxiv_173861", "predicate": "proves", "object": "using exact - diagonalization of small clusters and dyson equation embedding techniques , the conduc"}
{"subject": "math:arxiv_173867", "predicate": "proves", "object": "we develop in this paper the principles of an associative algebraic approach to _ bulk _ logarithmic"}
{"subject": "math:arxiv_173896", "predicate": "proves", "object": "the influence of spontaneous emission channel and generalized pauli channel on quantum monty hall ga"}
{"subject": "math:arxiv_173920", "predicate": "proves", "object": "exact solutions of the ginzburg - landau ( gl ) equation for the straight film subjected at its edge"}
{"subject": "math:arxiv_173924", "predicate": "proves", "object": "we study the effect of a cosmological constant @xmath0 on the propagation and detection of gravitati"}
{"subject": "math:arxiv_173930", "predicate": "proves", "object": "we describe a loopwise perturbative truncation scheme for quantum transport equations in the kadanof"}
{"subject": "math:arxiv_173944", "predicate": "proves", "object": "in our paper we show that the camassa - holm equation does not represent a long wave asymptotic due "}
{"subject": "math:arxiv_173968", "predicate": "proves", "object": "we study yang  baxter deformations of the @xmath0 superstring with non - abelian classical @xmath1-m"}
{"subject": "math:arxiv_173970", "predicate": "proves", "object": "the spinorial version of the conformal vacuum einstein field equations are used to construct a syste"}
{"subject": "math:arxiv_173994", "predicate": "proves", "object": "we analyze the vector meson formulation of the bps skyrme model in ( 3 + 1 ) dimensions , where the "}
{"subject": "math:arxiv_174012", "predicate": "proves", "object": "the @xmath0 gradings of the classical lie algebras are described . to elucidate the grading , the cl"}
{"subject": "math:arxiv_174013", "predicate": "proves", "object": "we establish a functional equation relating the gibbs measure at a particular low temperature with t"}
{"subject": "math:arxiv_174019", "predicate": "proves", "object": "we demonstrate that the processes underlying on - line auction price bids and many other longitudina"}
{"subject": "math:arxiv_174031", "predicate": "proves", "object": "it has been long admitted that a consequence of the virial theorem is that there can be no equilibri"}
{"subject": "math:arxiv_174072", "predicate": "proves", "object": "combining deeper insight of einstein s equations with sophisticated numerical techniques promises th"}
{"subject": "math:arxiv_174077", "predicate": "proves", "object": "we consider the dynamics of dark matter solitons moving through non - uniform cigar - shaped bose - "}
{"subject": "math:arxiv_174080", "predicate": "proves", "object": "because of the enormous range of time and space scales involved in dislocation dynamics , plastic mo"}
{"subject": "math:arxiv_174086", "predicate": "proves", "object": "galileon models , which were developed in the context of modified gravity , give a class of lagrangi"}
{"subject": "math:arxiv_174097", "predicate": "proves", "object": "together with f. morel , we have constructed in @xcite a theory of _ algebraic cobordism _ , an alge"}
{"subject": "math:arxiv_174098", "predicate": "proves", "object": "we study mnls related to the d.iii-type symmetric spaces . applying to them \n mikhailov reduction gr"}
{"subject": "math:arxiv_174101", "predicate": "proves", "object": "a general geometrical structure of the entanglement entropy for spatial partition of a relativistic "}
{"subject": "math:arxiv_174111", "predicate": "proves", "object": "we describe an explicit finite presentation for a finite depth subfactor planar algebra . \n we also "}
{"subject": "math:arxiv_174137", "predicate": "proves", "object": "we construct a generalization of witten s kaluza - klein instanton , where a higher - dimensional sp"}
{"subject": "math:arxiv_174162", "predicate": "proves", "object": "a main contribution of this paper is the explicit construction of comparison morphisms between the s"}
{"subject": "math:arxiv_174174", "predicate": "proves", "object": "the markov theorem without stabilization ( mtws ) established the existence of a calculus of braid i"}
{"subject": "math:arxiv_174207", "predicate": "proves", "object": "a simple master equation for the static perturbation of charged black strings is derived while emplo"}
{"subject": "math:arxiv_174209", "predicate": "proves", "object": "we present an extended discussion of a recently proposed theoretical approach for off - resonance tu"}
{"subject": "math:arxiv_174219", "predicate": "proves", "object": "we introduce the classical stellar atmosphere problem and describe in detail its numerical solution "}
{"subject": "math:arxiv_174227", "predicate": "proves", "object": "we study the driven - dissipative steady - state of a coherently - driven bose field in a honeycomb "}
{"subject": "math:arxiv_174240", "predicate": "proves", "object": "the tree - level amplitude for the scattering of two gauge particles constrained to move on the two "}
{"subject": "math:arxiv_174283", "predicate": "proves", "object": "we present a new method that derives both velocity components in the equatorial plane of a barred st"}
{"subject": "math:arxiv_174285", "predicate": "proves", "object": "a small - world cellular automaton network has been formulated to simulate the long - range interact"}
{"subject": "math:arxiv_174289", "predicate": "proves", "object": "suppose that @xmath0 is a conformally compact @xmath1-dimensional manifold that is hyperbolic near i"}
{"subject": "math:arxiv_174330", "predicate": "proves", "object": "this paper considers the geometry of @xmath0 from a clifford point of view in three complementary wa"}
{"subject": "math:arxiv_174340", "predicate": "proves", "object": "we construct a new class of positive indecomposable maps in the algebra of @xmath0 complex matrices "}
{"subject": "math:arxiv_174353", "predicate": "proves", "object": "we analyze asymptotically a differential - difference equation , that arises in a markov - modulated"}
{"subject": "math:arxiv_174364", "predicate": "proves", "object": "here , we present the application of a novel method for controlling the geometry of a state - depend"}
{"subject": "math:arxiv_174367", "predicate": "proves", "object": "in this paper , we study the notion of chordality and cycles in hypergraphs with a commutative algeb"}
{"subject": "math:arxiv_174375", "predicate": "proves", "object": "the nonlinear interaction between intense laser light and a quantum plasma is modeled by a collectiv"}
{"subject": "math:arxiv_174388", "predicate": "proves", "object": "motivated by classical results for gevrey spaces and their applications to nonlinear partial differe"}
{"subject": "math:arxiv_174393", "predicate": "proves", "object": "we examine the topology of eigenenergy surfaces characterizing the population transfer processes bas"}
{"subject": "math:arxiv_174407", "predicate": "proves", "object": "we study deformations of riemannian metrics on a given manifold equipped with a codimension - one fo"}
{"subject": "math:arxiv_174445", "predicate": "proves", "object": "we propose a model for the description of the transport properties of metallic films on a large scal"}
{"subject": "math:arxiv_174451", "predicate": "proves", "object": "we revisit the regge calculus model of the kasner cosmology first considered by s. lewis . \n one of "}
{"subject": "math:arxiv_174455", "predicate": "proves", "object": "we analyse the geometry of hilbert schemes of points on abelian surfaces and beauville s generalized"}
{"subject": "math:arxiv_174458", "predicate": "proves", "object": "we present a new method for the calculation of black hole perturbations induced by extended sources "}
{"subject": "math:arxiv_174478", "predicate": "proves", "object": "in this paper , we investigate the structure of condensation fronts from warm diffuse gas to cold ne"}
{"subject": "math:arxiv_174479", "predicate": "proves", "object": "we derive an exact analytical solution to the time - dependent schrdinger equation for transmission "}
{"subject": "math:arxiv_174485", "predicate": "proves", "object": "for three different geometric configurations of matter and two different thermodynamic equations of "}
{"subject": "math:arxiv_174526", "predicate": "proves", "object": "we study here hot nuclear matter in the quark meson coupling ( qmc ) model which incorporates explic"}
{"subject": "math:arxiv_174539", "predicate": "proves", "object": "magnetostatic fields in accelerators are conventionally described in terms of multipoles . \n we show"}
{"subject": "math:arxiv_174547", "predicate": "proves", "object": "stochastic processes described by evolution equations in the universality class of the fkpp equation"}
{"subject": "math:arxiv_174549", "predicate": "proves", "object": "simple algebraic rules can produce complex networks with rich structures . \n these graphs are obtain"}
{"subject": "math:arxiv_174559", "predicate": "proves", "object": "a mathematical definition of classical causality over discrete spacetime dynamics is formulated . \n "}
{"subject": "math:arxiv_174564", "predicate": "proves", "object": "we prove that for a compact hyperbolic @xmath0-manifold with boundary , a sequence of convex cocompa"}
{"subject": "math:arxiv_174577", "predicate": "proves", "object": "in this paper the equation of state of hot neutron matter is calculated . involving the oppenheimer "}
{"subject": "math:arxiv_174579", "predicate": "proves", "object": "we derived analytic formulae for the polarization single  spin asymmetries ( ssa ) in the bethe \n he"}
{"subject": "math:arxiv_174595", "predicate": "proves", "object": "the hecke algebra @xmath0 of a hecke pair @xmath1 is studied using the _ schlichting completion _ \n "}
{"subject": "math:arxiv_174596", "predicate": "proves", "object": "since its inception at the beginning of the twentieth century , quantum mechanics has challenged our"}
{"subject": "math:arxiv_174598", "predicate": "proves", "object": "we derive an exact solution to the thomas - fermi equation for a bose - einstein condensate which ha"}
{"subject": "math:arxiv_174604", "predicate": "proves", "object": "in this paper , we survey recent works on the structure of the mapping class groups of surfaces main"}
{"subject": "math:arxiv_174630", "predicate": "proves", "object": "a theory for the evolution of a metric @xmath0   driven by the equations of three - dimensional cont"}
{"subject": "math:arxiv_174637", "predicate": "proves", "object": "we present a detailed theoretical investigation of interfaces and junctions involving itinerant anti"}
{"subject": "math:arxiv_174650", "predicate": "proves", "object": "in 1976 appel and haken achieved a major break through by thoroughly establishing the four color the"}
{"subject": "math:arxiv_174655", "predicate": "proves", "object": "this paper is concerned with the construction of atomic gaussian multiplicative chaos and the kpz fo"}
{"subject": "math:arxiv_174661", "predicate": "proves", "object": "we prove that the cardinality of the intersection of two compact exact lagrangian submanifolds in a "}
{"subject": "math:arxiv_174669", "predicate": "proves", "object": "an approach to the holographic renormalization group in the context of rehren duality  a structural "}
{"subject": "math:arxiv_174671", "predicate": "proves", "object": "we study polynomial systems whose equations have as common support a set @xmath0 of @xmath1 points i"}
{"subject": "math:arxiv_174690", "predicate": "proves", "object": "using a variational approach , we solve the equations of two - fluid hydrodynamics for a uniform and"}
{"subject": "math:arxiv_174702", "predicate": "proves", "object": "we consider in this work a one parameter family of hypoelliptic diffusion processes on the unit tang"}
{"subject": "math:arxiv_174725", "predicate": "proves", "object": "group classification of a class of benjamin  bona  mahony ( bbm ) equations with time dependent coef"}
{"subject": "math:arxiv_174727", "predicate": "proves", "object": "the bogoliubov model for weakly interacting bose gas is extended to bose - einstein condensation ( b"}
{"subject": "math:arxiv_174729", "predicate": "proves", "object": "first , we define phase tropical hypersurfaces in terms of a degeneration data of smooth complex alg"}
{"subject": "math:arxiv_174735", "predicate": "proves", "object": "general relativity successfully describes space - times at scales that we can observe and probe toda"}
{"subject": "math:arxiv_174736", "predicate": "proves", "object": "we explore chern - simons theories coupled to fundamental ghost - like matter in the large @xmath0 l"}
{"subject": "math:arxiv_174744", "predicate": "proves", "object": "using a generalization of the madelung transformation , we derive the hydrodynamic representation of"}
{"subject": "math:arxiv_174777", "predicate": "proves", "object": "the klein - gordon equation in the presence of a strong electric field , taking the form of the math"}
{"subject": "math:arxiv_174787", "predicate": "proves", "object": "the behaviour of large amplitude electrostatic waves in cold plasma is investigated in the context o"}
{"subject": "math:arxiv_174801", "predicate": "proves", "object": "in this paper we study properties of lattice trigonometric functions of lattice angles in lattice ge"}
{"subject": "math:arxiv_174824", "predicate": "proves", "object": "* background : * the effects of non - local potentials have historically been approximately included"}
{"subject": "math:arxiv_174841", "predicate": "proves", "object": "a new method is applied to solve the baxter equation for three coupled , noncompact spins . due to t"}
{"subject": "math:arxiv_174842", "predicate": "proves", "object": "it is shown that the formula for the chern classes ( in the chow ring ) of blow - ups of algebraic v"}
{"subject": "math:arxiv_174887", "predicate": "proves", "object": "we conjecture a combinatorial formula for the monomial expansion of the image of any schur function "}
{"subject": "math:arxiv_174899", "predicate": "proves", "object": "we prove by means of the study of the infinitesimal variation of hodge structure and a generalizatio"}
{"subject": "math:arxiv_174900", "predicate": "proves", "object": "simple , separable , unital , monotracial and nuclear @xmath0-algebras are shown to have finite nucl"}
{"subject": "math:arxiv_174924", "predicate": "proves", "object": "differential geometry ( dg ) based solvation models are a new class of variational implicit solvent "}
{"subject": "math:arxiv_174929", "predicate": "proves", "object": "recently , observations of compact stars have provided new data of high accuracy which put strong co"}
{"subject": "math:arxiv_174934", "predicate": "proves", "object": "for two bound - state equations derived as simplified forms of the bethe \n salpeter equation with co"}
{"subject": "math:arxiv_174967", "predicate": "proves", "object": "we theoretically investigate interactions between non - degenerate mechanical oscillators mediated b"}
{"subject": "math:arxiv_174970", "predicate": "proves", "object": "a single - time quantum transport equation , which includes effects beyond the quasiparticle approxi"}
{"subject": "math:arxiv_174971", "predicate": "proves", "object": "the relationship between algebraic geometry and the inferential framework of the bayesian networks w"}
{"subject": "math:arxiv_174988", "predicate": "proves", "object": "for an @xmath0-invariant @xmath1 boundary the classical dirichlet problem of riemannian quantum grav"}
{"subject": "math:arxiv_175011", "predicate": "proves", "object": "these lectures present an elementary discussion of some background material relevant to the problem "}
{"subject": "math:arxiv_175017", "predicate": "proves", "object": "we present classical and quantum mechanical multiscale descriptions of lattice dynamics , from the a"}
{"subject": "math:arxiv_175026", "predicate": "proves", "object": "we analyze non - gaussianity ( ng ) due to the primordial bispectrum and trispectrum using cosmic mi"}
{"subject": "math:arxiv_175037", "predicate": "proves", "object": "using the warped extra dimension geometry of the many - brane extension of the randall - sundrum sol"}
{"subject": "math:arxiv_175038", "predicate": "proves", "object": "we study the kaluza  klein dimensional reduction of the lovelock  cartan theory in five - dimensiona"}
{"subject": "math:arxiv_175052", "predicate": "proves", "object": "within an algebraic framework , used to construct the induced  matter  theory  ( imt ) setting , in "}
{"subject": "math:arxiv_175057", "predicate": "proves", "object": "we consider the sectoral composition of a country s gdp , i.e.  the partitioning into agrarian , ind"}
{"subject": "math:arxiv_175060", "predicate": "proves", "object": "we apply the broad histogram method to an ising system in the context of the recently reformulated g"}
{"subject": "math:arxiv_175064", "predicate": "proves", "object": "new calculations of the quasi - bound state in the @xmath0 system using faddeev - type equations in "}
{"subject": "math:arxiv_175098", "predicate": "proves", "object": "in this work we consider the gutt star product viewed as an associative deformation of the symmetric"}
{"subject": "math:arxiv_175171", "predicate": "proves", "object": "mass loss rate formulae are derived from observations or from suites of models . for theoretical mod"}
{"subject": "math:arxiv_175185", "predicate": "proves", "object": "a semiclassical linear response theory based on the vlasov equation is reviewed . \n the approach dis"}
{"subject": "math:arxiv_175204", "predicate": "proves", "object": "recently we constructed a renormalizable field theory up to two loops for the quasi - static depinni"}
{"subject": "math:arxiv_175213", "predicate": "proves", "object": "for a truncated stochastically perturbed equation @xmath0 with @xmath1 on @xmath2 , which correspond"}
{"subject": "math:arxiv_175216", "predicate": "proves", "object": "various problems of geometry , topology and dynamical systems on surfaces as well as some questions "}
{"subject": "math:arxiv_175218", "predicate": "proves", "object": "we show that high - resolution observations of resolved zeeman split lines can be used to obtain new"}
{"subject": "math:arxiv_175244", "predicate": "proves", "object": "we consider the effect of planetary spin on the planetary radial velocity ( prv ) in dayside spectra"}
{"subject": "math:arxiv_175247", "predicate": "proves", "object": "in this paper we investigate expanding bianchi type i models with two tilted fluids with linear equa"}
{"subject": "math:arxiv_175248", "predicate": "proves", "object": "in this paper , we study the family index of a family of spin manifolds . in particular , we discuss"}
{"subject": "math:arxiv_175252", "predicate": "proves", "object": "aspects of coherence and decoherence are analyzed within the optical bloch equations . by rewriting "}
{"subject": "math:arxiv_175279", "predicate": "proves", "object": "we address the problem of determining the critical equation of state of three - dimensional @xmath0 "}
{"subject": "math:arxiv_175326", "predicate": "proves", "object": "the relative stability of the vortex , onion and ferromagnetic phases in nanorings is examined as a "}
{"subject": "math:arxiv_175327", "predicate": "proves", "object": "we study viscoelastic subdiffusion in bistable and periodic potentials within the generalized langev"}
{"subject": "math:arxiv_175339", "predicate": "proves", "object": "we perform a deeper analysis of an axiomatic approach to the concept of intrinsic dimension of a dat"}
{"subject": "math:arxiv_175350", "predicate": "proves", "object": "we use the standard runge - kutta method to solve the set of basic equations describing black hole a"}
{"subject": "math:arxiv_175356", "predicate": "proves", "object": "we analyze global aspects of the moduli space of khler forms for @xmath0=(2,2 ) conformal @xmath1-mo"}
{"subject": "math:arxiv_175398", "predicate": "proves", "object": "motivated by experiments in electroconvection in nematic liquid crystals with homeotropic alignment "}
{"subject": "math:arxiv_175401", "predicate": "proves", "object": "a new calculus of planar diagrams involving diagrammatics for biadjoint functors and degenerate affi"}
{"subject": "math:arxiv_175438", "predicate": "proves", "object": "we construct a new exact solution to the 5d einstein equations describing rotating black ring with a"}
{"subject": "math:arxiv_175447", "predicate": "proves", "object": "in this paper , we study azumaya algebras and brauer groups in derived algebraic geometry . \n we est"}
{"subject": "math:arxiv_175450", "predicate": "proves", "object": "we present approximative solutions to the neutrino evolution equation calculated by different method"}
{"subject": "math:arxiv_175501", "predicate": "proves", "object": "we solve the percus - yevick equation in even dimensions by reducing it to a set of simple integro -"}
{"subject": "math:arxiv_175506", "predicate": "proves", "object": "we construct a 4-d lattice dirac operator @xmath0 using a systematical expansion in terms of simple "}
{"subject": "math:arxiv_175515", "predicate": "proves", "object": "the recent progress in the theory of generalized lambert functions makes possible to solve exactly t"}
{"subject": "math:arxiv_175526", "predicate": "proves", "object": "in this paper we define alternating kauffman states of links and we characterize when the induced st"}
{"subject": "math:arxiv_175527", "predicate": "proves", "object": "we prove a local trace formula for anosov flows . \n it relates pollicott \n ruelle resonances to the "}
{"subject": "math:arxiv_175529", "predicate": "proves", "object": "we study the notion of nash equilibrium in a general nonzero - sum impulse game for two players . \n "}
{"subject": "math:arxiv_175535", "predicate": "proves", "object": "we present an analytic study of the three - urn model for separation of sand . \n we solve analytical"}
{"subject": "math:arxiv_175540", "predicate": "proves", "object": "a topological formulation of the eigenspace anholonomy , where eigenspaces are interchanged by adiab"}
{"subject": "math:arxiv_175542", "predicate": "proves", "object": "a theorem of l. caffarelli implies the existence of a map , pushing forward a source gaussian measur"}
{"subject": "math:arxiv_175546", "predicate": "proves", "object": "some widely known compact extended formulations have the property that each vertex of the correspond"}
{"subject": "math:arxiv_175548", "predicate": "proves", "object": "we analyse the effect of intrinsic fluctuations on the properties of bistable stochastic systems wit"}
{"subject": "math:arxiv_175557", "predicate": "proves", "object": "in recent work , li et al . \n ( comm .  math . \n sci . \n , 7:81 - 107 , 2009 ) developed a diffuse -"}
{"subject": "math:arxiv_175559", "predicate": "proves", "object": "a large number of cosmological studies now suggest that roughly two - thirds of the critical energy "}
{"subject": "math:arxiv_175568", "predicate": "proves", "object": "we develop a theory of existence and uniqueness for the following porous medium equation with fracti"}
{"subject": "math:arxiv_175575", "predicate": "proves", "object": "it is shown that segal s theorem on the spaces of rational maps from @xmath0 to @xmath1 can be exten"}
{"subject": "math:arxiv_175586", "predicate": "proves", "object": "the classical prime geodesic theorem ( pgt ) gives an asymptotic formula ( as @xmath0 tends to infin"}
{"subject": "math:arxiv_175592", "predicate": "proves", "object": "charm- and bottom - quark rescattering in a quark - gluon plasma ( qgp ) is investigated with the ob"}
{"subject": "math:arxiv_175595", "predicate": "proves", "object": "the framework of universal geometry allows us to consider metrical properties of affine views of ell"}
{"subject": "math:arxiv_175621", "predicate": "proves", "object": "following the basic prescriptions of the tsallis nonextensive thermodynamics , we study the relativi"}
{"subject": "math:arxiv_175626", "predicate": "proves", "object": "in this paper we study certain integrability properties of the supersymmetric sine - gordon equation"}
{"subject": "math:arxiv_175645", "predicate": "proves", "object": "in accelerator and plasma physics it is generally accepted that there is no need to solve the dynami"}
{"subject": "math:arxiv_175646", "predicate": "proves", "object": "in this paper , we discuss approximating the eigenvalue problem of biharmonic equation . \n we first "}
{"subject": "math:arxiv_175667", "predicate": "proves", "object": "let @xmath0 be a knot in @xmath1 . in @xcite , h.n . \n howards and j. schultens introduced a method "}
{"subject": "math:arxiv_175682", "predicate": "proves", "object": "a model of 3-dimensional topological quantum field theory is rigorously constructed . \n the results "}
{"subject": "math:arxiv_175689", "predicate": "proves", "object": "we study strong instability ( instability by blowup ) of standing wave solutions for a nonlinear sch"}
{"subject": "math:arxiv_175697", "predicate": "proves", "object": "classical chemical kinetics use rate - equation models to describe how a reaction proceeds in time ."}
{"subject": "math:arxiv_175704", "predicate": "proves", "object": "the role of geometry on dispersive forces is investigated by calculating the energy between differen"}
{"subject": "math:arxiv_175725", "predicate": "proves", "object": "we model the dark sector of the cosmic substratum by a viscous fluid with an equation of state @xmat"}
{"subject": "math:arxiv_175727", "predicate": "proves", "object": "the fermi surface topology of the organic superconductor  has been determined using the shubnikov - "}
{"subject": "math:arxiv_175743", "predicate": "proves", "object": "we study the structural , dynamical and electronic properties of amorphous si@xmath0ge@xmath1:h allo"}
{"subject": "math:arxiv_175760", "predicate": "proves", "object": "in this paper we introduce a new method for the simulation of a weak solution of the schrdinger - ty"}
{"subject": "math:arxiv_175762", "predicate": "proves", "object": "given a one - dimensional homology class in a lens space , a question related to the berge conjectur"}
{"subject": "math:arxiv_175764", "predicate": "proves", "object": "a bouncing drop and its associated accompanying wave forms a walker . based on previous works , \n we"}
{"subject": "math:arxiv_175769", "predicate": "proves", "object": "we formulate a new algorithm for obtaining the effective continuum threshold in vacuum - to - bound "}
{"subject": "math:arxiv_175782", "predicate": "proves", "object": "we give formulae for the ozsvth - szab invariants of 4-manifolds @xmath0 obtained by fiber sum of tw"}
{"subject": "math:arxiv_175810", "predicate": "proves", "object": "we undertake the study of bivariate horn systems for generic parameters . \n we prove that these hype"}
{"subject": "math:arxiv_175822", "predicate": "proves", "object": "the spin(7)-instanton equations are natural bps equations for instantons on 8-manifolds . \n we study"}
{"subject": "math:arxiv_175826", "predicate": "proves", "object": "in a previous work the authors have solved the einstein equations of general relativity for a class "}
{"subject": "math:arxiv_175832", "predicate": "proves", "object": "if a hyperbolic @xmath0-manifold @xmath1 admits a reducible and a finite dehn filling , the distance"}
{"subject": "math:arxiv_175836", "predicate": "proves", "object": "using field - theoretic renormalization group methods we calculate the equation of state for non - e"}
{"subject": "math:arxiv_175845", "predicate": "proves", "object": "consider a measurable space with a finite vector measure . \n this measure defines a mapping of the @"}
{"subject": "math:arxiv_175847", "predicate": "proves", "object": "vlasiator is a new hybrid - vlasov plasma simulation code aimed at simulating the entire magnetosphe"}
{"subject": "math:arxiv_175859", "predicate": "proves", "object": "we derive an expression for the 4-point conductance of a general quantum junction in terms of the de"}
{"subject": "math:arxiv_175860", "predicate": "proves", "object": "the first part of hilbert s sixteenth problem deals with the classification of the isotopy types rea"}
{"subject": "math:arxiv_175863", "predicate": "proves", "object": "in this letter we demonstrate for the first time the formation of the inverse energy cascade in the "}
{"subject": "math:arxiv_175872", "predicate": "proves", "object": "we report the study of graphene devices in hall - bar geometry , gated with a polymer electrolyte . "}
{"subject": "math:arxiv_175880", "predicate": "proves", "object": "we derive the complex ginzburg - landau equation for the dynamical self - diffraction of optical wav"}
{"subject": "math:arxiv_175898", "predicate": "proves", "object": "casimir - polder potential is investigated for a polarizable microparticle in the geometry of a stra"}
{"subject": "math:arxiv_175924", "predicate": "proves", "object": "a new sufficient condition for the existence of a stationary causal solution of an arch(@xmath0 ) eq"}
{"subject": "math:arxiv_175940", "predicate": "proves", "object": "the microscopic and the macroscopic properties of @xmath0-superstatistics , related to the class @xm"}
{"subject": "math:arxiv_175947", "predicate": "proves", "object": "we study the monodromy representation of the system @xmath0 of differential equations satisfied by l"}
{"subject": "math:arxiv_175970", "predicate": "proves", "object": "we consider an open quantum system described by a lindblad - type master equation with two times - s"}
{"subject": "math:arxiv_175975", "predicate": "proves", "object": "we consider a fokker  planck equation in a general domain in @xmath0 with @xmath1 drift term and @xm"}
{"subject": "math:arxiv_175977", "predicate": "proves", "object": "a compactness framework is formulated for the incompressible limit of approximate solutions with wea"}
{"subject": "math:arxiv_175991", "predicate": "proves", "object": "in this paper we present the set of intervals as a normed vector space . \n we define also a four - d"}
{"subject": "math:arxiv_175994", "predicate": "proves", "object": "our aim is to prove a poncelet type theorem for a line configuration on the complex projective plane"}
{"subject": "math:arxiv_176003", "predicate": "proves", "object": "this paper studies curves on quartic k3 surfaces , or more generally k3 surfaces which are complete "}
{"subject": "math:arxiv_176008", "predicate": "proves", "object": "we examine periodic solutions to an initial boundary value problem for a liouville equation with sig"}
{"subject": "math:arxiv_176028", "predicate": "proves", "object": "one - electron 3 + 1 and 2 + 1 dirac equations are used to calculate the motion of a relativistic el"}
{"subject": "math:arxiv_176034", "predicate": "proves", "object": "we derive boundary conditions for the coupled spin - charge diffusion equations at a transmitting in"}
{"subject": "math:arxiv_176037", "predicate": "proves", "object": "we discuss the use of information geometry in black hole physics and present the outcomes . \n the ty"}
{"subject": "math:arxiv_176056", "predicate": "proves", "object": "we give an overview of basic methods that can be used for obtaining asymptotic expansions of integra"}
{"subject": "math:arxiv_176080", "predicate": "proves", "object": "the knowledge of a series expansion of the equation of state provides a deep insight into the physic"}
{"subject": "math:arxiv_176091", "predicate": "proves", "object": "einstein s field equations for stationary bianchi type ii models with a perfect fluid source are inv"}
{"subject": "math:arxiv_176098", "predicate": "proves", "object": "interaction between carbon nanomaterials and micellar substrates is studied . \n a notable observatio"}
{"subject": "math:arxiv_176103", "predicate": "proves", "object": "we investigate the filling area conjecture , optimal systolic inequalities , and the related problem"}
{"subject": "math:arxiv_176120", "predicate": "proves", "object": "rod shaped objects suspended in a flowing liquid might be orientated by the velocity , nature of the"}
{"subject": "math:arxiv_176123", "predicate": "proves", "object": "we present exact analytical bright and dark ( black and grey ) solitary wave solutions of a nonlinea"}
{"subject": "math:arxiv_176136", "predicate": "proves", "object": "motivated by a construction of fintushel and stern , we show that the topological 4manifold @xmath0 "}
{"subject": "math:arxiv_176146", "predicate": "proves", "object": "given a closed smooth four - dimensional manifold , we construct a diffeomorphism that has a homocli"}
{"subject": "math:arxiv_176150", "predicate": "proves", "object": "in this paper we carry out a complete classification of the lie point symmetry groups associated wit"}
{"subject": "math:arxiv_176152", "predicate": "proves", "object": "we show that the eight - dimensional instanton solution , which satisfies the self - duality equatio"}
{"subject": "math:arxiv_176156", "predicate": "proves", "object": "we investigate the dipole mode in a superfluid gas of fermi atoms trapped in a harmonic potential . "}
{"subject": "math:arxiv_176163", "predicate": "proves", "object": "in this paper , we investigate the @xmath0 bilinear quasimode estimates on compact riemannian manifo"}
{"subject": "math:arxiv_176178", "predicate": "proves", "object": "i will give a presentation of an abstract approach to finite ramsey theory found in an earlier paper"}
{"subject": "math:arxiv_176192", "predicate": "proves", "object": "the dynamics of phantom bead - spring chains with the topology of a symmetric star with @xmath0 arms"}
{"subject": "math:arxiv_176194", "predicate": "proves", "object": "peculiar velocities of galaxies hosting type ia supernovae generate a significant systematic effect "}
{"subject": "math:arxiv_176206", "predicate": "proves", "object": "we establish a 3-manifold invariant for each finite - dimensional , involutory hopf algebra \n . if t"}
{"subject": "math:arxiv_176211", "predicate": "proves", "object": "in this paper we show that the supergravity equations describing both cosmic billiards and a large c"}
{"subject": "math:arxiv_176214", "predicate": "proves", "object": "we perform a study of cosmic evolution with an equation of state parameter @xmath0 by selecting a ph"}
{"subject": "math:arxiv_176216", "predicate": "proves", "object": "the propagation of heavy quarks ( hqs ) in a medium was quite often modeled by the fokker - plank ( "}
{"subject": "math:arxiv_176226", "predicate": "proves", "object": "coarse grid projection ( cgp ) methodology is a novel multigrid method for systems involving decoupl"}
{"subject": "math:arxiv_176232", "predicate": "proves", "object": "we present a cohomological formulation of measurement - based quantum computation ( mbqc ) , employi"}
{"subject": "math:arxiv_176235", "predicate": "proves", "object": "a logamediate inflationary model in the presence of the tachyon scalar field will be studied . consi"}
{"subject": "math:arxiv_176240", "predicate": "proves", "object": "in this paper we prove schur s conjecture in @xmath0 , which states that any diameter graph @xmath1 "}
{"subject": "math:arxiv_176250", "predicate": "proves", "object": "we propose a system of nonlinear integral equations ( nlie ) , which gives the free energy of the @x"}
{"subject": "math:arxiv_176268", "predicate": "proves", "object": "the long - standing puzzle surrounding the statistical mechanics of self - gravitating systems has n"}
{"subject": "math:arxiv_176280", "predicate": "proves", "object": "the quantum states filtering , whose general theorem was given by bergou _ \n et al . _ \n ( phys.rev."}
{"subject": "math:arxiv_176287", "predicate": "proves", "object": "the ( local ) invariant symplectic action functional @xmath0 is associated to a hamiltonian action o"}
{"subject": "math:arxiv_176293", "predicate": "proves", "object": "in this paper we address the cooperation problem in structured populations by considering the prison"}
{"subject": "math:arxiv_176320", "predicate": "proves", "object": "given an open book decomposition @xmath0 adapted to a closed , oriented @xmath1-manifold @xmath2 , w"}
{"subject": "math:arxiv_176323", "predicate": "proves", "object": "in this paper we investigate the extent to which the lovsz local lemma ( an important tool in probab"}
{"subject": "math:arxiv_176327", "predicate": "proves", "object": "we found a class of triangulated surfaces in euclidean space which have similar properties as isothe"}
{"subject": "math:arxiv_176339", "predicate": "proves", "object": "complex quantum trajectories , which were first obtained from a modified de broglie - bohm quantum m"}
{"subject": "math:arxiv_176343", "predicate": "proves", "object": "starting from the rigorous excitation equation , the propagation of waves through a 2d waveguide wit"}
{"subject": "math:arxiv_176349", "predicate": "proves", "object": "solution of the dirac equation predicts that when an electron with non - zero orbital angular moment"}
{"subject": "math:arxiv_176366", "predicate": "proves", "object": "the axiomatic structure of the electromagnetic theory is outlined . \n we will base classical electro"}
{"subject": "math:arxiv_176367", "predicate": "proves", "object": "we derive the plasticity equations for convex quadrilaterals on a complete convex surface with bound"}
{"subject": "math:arxiv_176373", "predicate": "proves", "object": "we investigate the particle and heat transport in quantum junctions with the geometry of star graphs"}
{"subject": "math:arxiv_176379", "predicate": "proves", "object": "we employ an isospin dependent version of the qmd transport model to study the influence of the isos"}
{"subject": "math:arxiv_176383", "predicate": "proves", "object": "the ideal gas equation of state with a constant adiabatic index , although commonly used in relativi"}
{"subject": "math:arxiv_176385", "predicate": "proves", "object": "a fully kinetic simulation approach , treating each plasma component based on the vlasov equation , "}
{"subject": "math:arxiv_176397", "predicate": "proves", "object": "semi - empirical method of calculation of quenching factors for scintillators is described . \n it is"}
{"subject": "math:arxiv_176403", "predicate": "proves", "object": "for given riemannian manifold , we study the displacement energy of its unit cotangent bundle in its"}
{"subject": "math:arxiv_176432", "predicate": "proves", "object": "we present a second - order accurate method to include arbitrary distributions of force densities in"}
{"subject": "math:arxiv_176449", "predicate": "proves", "object": "a necessary and sufficient condition ( `` nonresonance '' ) is established for every solution of an "}
{"subject": "math:arxiv_176453", "predicate": "proves", "object": "within the framework of the instantaneous bethe - salpeter equation , we present a detailed analysis"}
{"subject": "math:arxiv_176475", "predicate": "proves", "object": "we prove that the vanishing spheres of the lefschetz pencils constructed by donaldson on symplectic "}
{"subject": "math:arxiv_176486", "predicate": "proves", "object": "we study superfluidity in a model of massless fermions coupled to a massive scalar field through a y"}
{"subject": "math:arxiv_176495", "predicate": "proves", "object": "a two - phase description of the quark - nuclear matter hybrid equation of state that takes into acc"}
{"subject": "math:arxiv_176505", "predicate": "proves", "object": "in this paper , we present appendices employed in the paper `` a geometric level - set formulation o"}
{"subject": "math:arxiv_176508", "predicate": "proves", "object": "given a set of unit - disks in the plane with union area @xmath0 , what fraction of @xmath0 can be c"}
{"subject": "math:arxiv_176514", "predicate": "proves", "object": "we present a microscopic theory of the hall current in the bilayer quantum hall system on the basis "}
{"subject": "math:arxiv_176522", "predicate": "proves", "object": "we show that there exist infinitely many simply connected compact stein 4-manifolds with @xmath0 suc"}
{"subject": "math:arxiv_176530", "predicate": "proves", "object": "the lieb - robinson theorem states that locality is approximately preserved in the dynamics of quant"}
{"subject": "math:arxiv_176548", "predicate": "proves", "object": "we analyze the interplay of longitudinal and transverse fluctuations in a @xmath0 symmetric two - di"}
{"subject": "math:arxiv_176554", "predicate": "proves", "object": "* abstract * we investigate polymer partitioning from polymer mixtures into nanometer size cavities "}
{"subject": "math:arxiv_176556", "predicate": "proves", "object": "keeping in view the ordering ambiguity that arises due to the presence of position - dependent effec"}
{"subject": "math:arxiv_176568", "predicate": "proves", "object": "the effect of rashba spin - orbital interaction upon supercurrent in s-2deg - s proximity junctions "}
{"subject": "math:arxiv_176572", "predicate": "proves", "object": "we report on a theoretical investigation of artificial spin - ice dipolar arrays , using a nanoislan"}
{"subject": "math:arxiv_176610", "predicate": "proves", "object": "we study the role played by a chern - simons contribution to the action in the @xmath0 formulation o"}
{"subject": "math:arxiv_176611", "predicate": "proves", "object": "this is a nontechnical introduction to recent work on quantum gravity using ideas from higher - dime"}
{"subject": "math:arxiv_176673", "predicate": "proves", "object": "using a realistic quantum master equation we show that the resonance fluorescence spectra of a two -"}
{"subject": "math:arxiv_176692", "predicate": "proves", "object": "an analysis of traveling wave solutions of partial differential equation ( pde ) systems with cross "}
{"subject": "math:arxiv_176695", "predicate": "proves", "object": "quantum graphity is a background - independent model for emergent macroscopic locality , spatial geo"}
{"subject": "math:arxiv_176706", "predicate": "proves", "object": "recent theoretical work has derived the correct form of the ginzburg - landau differential equations"}
{"subject": "math:arxiv_176710", "predicate": "proves", "object": "we investigate two solvable models for bose - einstein condensates and extract physical information "}
{"subject": "math:arxiv_176711", "predicate": "proves", "object": "we axiomatically introduce _ risk - consistent conditional systemic risk measures _ defined on multi"}
{"subject": "math:arxiv_176714", "predicate": "proves", "object": "resorting to classical techniques of riemannian geometry we develop a geometrical method suitable to"}
{"subject": "math:arxiv_176718", "predicate": "proves", "object": "we present a master equation approach to the _ narrow escape time _ ( net ) problem , i.e. the time "}
{"subject": "math:arxiv_176729", "predicate": "proves", "object": "_ we develop a computational framework , based on the boltzmann transport equation , with the abilit"}
{"subject": "math:arxiv_176734", "predicate": "proves", "object": "the noisy burgers equation describing for example the growth of an interface subject to noise is one"}
{"subject": "math:arxiv_176742", "predicate": "proves", "object": "we describe a new source of counterexamples to the so - called integral hodge and integral tate conj"}
{"subject": "math:arxiv_176747", "predicate": "proves", "object": "we propose a method for finding gaps in the spectrum of a differential operator . \n when applied to "}
{"subject": "math:arxiv_176757", "predicate": "proves", "object": "given a finite point set @xmath0 , a @xmath1-ary semi - algebraic relation @xmath2 on @xmath3 is a s"}
{"subject": "math:arxiv_176800", "predicate": "proves", "object": "the @xmath0-conjecture for a knot @xmath1 relates the @xmath2-polynomial and the colored jones polyn"}
{"subject": "math:arxiv_176815", "predicate": "proves", "object": "we use soliton perturbation theory and collective coordinate ansatz to investigate the mechanism of "}
{"subject": "math:arxiv_176830", "predicate": "proves", "object": "using an analogue of the guionnet - jones - shlaykhtenko construction for graphs we show that their "}
{"subject": "math:arxiv_176864", "predicate": "proves", "object": "we report the proof that the expression of extended gibrat s law is unique and the probability distr"}
{"subject": "math:arxiv_176865", "predicate": "proves", "object": "we consider the gravitational lensing produced by long cosmic strings formed in a gut scale phase tr"}
{"subject": "math:arxiv_176896", "predicate": "proves", "object": "we present a simple model based on a reaction - diffusion equation to explain pattern formation in a"}
{"subject": "math:arxiv_176897", "predicate": "proves", "object": "electron - hydrogen scattering is studied in the faddeev - merkuriev integral equation approach . \n "}
{"subject": "math:arxiv_176901", "predicate": "proves", "object": "we consider an integrable hierarchy of nonlinear evolution equations ( nlee ) related to linear bund"}
{"subject": "math:arxiv_176924", "predicate": "proves", "object": "in order to approach the pion  multinucleon problem , we have found it convenient to reformulate the"}
{"subject": "math:arxiv_176933", "predicate": "proves", "object": "we consider the coupling between two networks , each having n nodes whose individual dynamics is mod"}
{"subject": "math:arxiv_176934", "predicate": "proves", "object": "combining the qcd dipole model with the good and walker picture , we formulate diffractive dissociat"}
{"subject": "math:arxiv_176937", "predicate": "proves", "object": "this paper presents a general formulation of the cip / multi - moment finite volume method ( cip / m"}
{"subject": "math:arxiv_176956", "predicate": "proves", "object": "we consider the derivation of continuous and fully discrete artificial boundary conditions for linea"}
{"subject": "math:arxiv_176957", "predicate": "proves", "object": "the scaling hypothesis for the coupled chaotic map lattices ( cml ) is formulated . scaling properti"}
{"subject": "math:arxiv_176959", "predicate": "proves", "object": "the performance of the common support for jointly sparse signals based on their projections onto low"}
{"subject": "math:arxiv_176977", "predicate": "proves", "object": "we analyze combined effects of the geometry produced by global monopole and a concentric spherical b"}
{"subject": "math:arxiv_176979", "predicate": "proves", "object": "we derive coupled - cluster equations for three - body hamiltonians . \n the equations for the one- a"}
{"subject": "math:arxiv_176983", "predicate": "proves", "object": "this article presents the inverse of the kernel operator associated with the complete quadratic lyap"}
{"subject": "math:arxiv_176986", "predicate": "proves", "object": "into a differential geometric setting , we import the physical interpretation of index theorems via "}
{"subject": "math:arxiv_176989", "predicate": "proves", "object": "we show that the liquid drop model is best suited to describe the masses of prolate deformed nuclei "}
{"subject": "math:arxiv_176998", "predicate": "proves", "object": "we formulate and solve the analog of the universal conformal ward identity for the stress - energy t"}
{"subject": "math:arxiv_177032", "predicate": "proves", "object": "in general , the distribution of residuals can not be obtained explicitly . \n we give an asymptotic "}
{"subject": "math:arxiv_177045", "predicate": "proves", "object": "we study the thermodynamical properties of a topology - based model proposed by galzitskaya and fink"}
{"subject": "math:arxiv_177059", "predicate": "proves", "object": "for a ( countable ) graph @xmath0 and a unital commutative ring @xmath1 , we analyze the ideal struc"}
{"subject": "math:arxiv_177060", "predicate": "proves", "object": "we consider director configurations of cholesteric liquid crystal ( clc ) cells with two plane confi"}
{"subject": "math:arxiv_177079", "predicate": "proves", "object": "motivated by the goal to give the simplest possible microscopic foundation for a broad class of topo"}
{"subject": "math:arxiv_177080", "predicate": "proves", "object": "kochen - specker ( ks ) theorem lies at the heart of the foundations of quantum mechanics . \n it est"}
{"subject": "math:arxiv_177086", "predicate": "proves", "object": "in this paper , we make the case that clifford algebra is the natural framework for root systems and"}
{"subject": "math:arxiv_177088", "predicate": "proves", "object": "we study andreev bound states and @xmath0-junction transition in a superconductor / quantum - dot / "}
{"subject": "math:arxiv_177091", "predicate": "proves", "object": "this article studies the dynamics of a finite chain with infinite components . \n the equation which "}
{"subject": "math:arxiv_177098", "predicate": "proves", "object": "lieb , schultz and mattis ( lsm ) @xcite studied the s=1/2 xxz spin chain . \n the theorems of lsm s "}
{"subject": "math:arxiv_177109", "predicate": "proves", "object": "mogami introduced in 1995 a large class of triangulated @xmath0-dimensional pseudomanifolds , hencef"}
{"subject": "math:arxiv_177119", "predicate": "proves", "object": "we introduce a new method , based on alternating optimization , for compact representation of spin h"}
{"subject": "math:arxiv_177140", "predicate": "proves", "object": "we study the invariant measure of the one - dimensional stochastic allen - cahn equation for a small"}
{"subject": "math:arxiv_177153", "predicate": "proves", "object": "we show that the abelian higgs field equations in the background of the four dimensional ads - schwa"}
{"subject": "math:arxiv_177159", "predicate": "proves", "object": "under the hypothesis of small deformations , the equations of 1d elastodynamics write as a @xmath0 h"}
{"subject": "math:arxiv_177162", "predicate": "proves", "object": "in the context of non - supersymmetric so(10 ) models , we analyze the renormalization group equatio"}
{"subject": "math:arxiv_177200", "predicate": "proves", "object": "we develop a semiclassical second microlocal calculus of pseudodifferential operators associated to "}
{"subject": "math:arxiv_177207", "predicate": "proves", "object": "we obtain an asymptotic formula for the first moment of quadratic dirichlet @xmath0functions over fu"}
{"subject": "math:arxiv_177211", "predicate": "proves", "object": "based on the non - relativistic regime of the dirac equation coupled to a torsion pseudo - vector , "}
{"subject": "math:arxiv_177221", "predicate": "proves", "object": "we formulate a theory for the collective phase description of globally coupled noisy limit - cycle o"}
{"subject": "math:arxiv_177222", "predicate": "proves", "object": "fast scramblers process information in characteristic times scaling logarithmically with the entropy"}
{"subject": "math:arxiv_177225", "predicate": "proves", "object": "there is a fundamental difference between the classical expression for the retarded electromagnetic "}
{"subject": "math:arxiv_177229", "predicate": "proves", "object": "we provide a detailed numerical study of various issues pertaining to the dynamics of the burgers eq"}
{"subject": "math:arxiv_177236", "predicate": "proves", "object": "it is shown by the author that if gravitons are super - strong interacting particles and the low - t"}
{"subject": "math:arxiv_177264", "predicate": "proves", "object": "we are interested in the uniqueness of solutions to maxwell s equations when the magnetic permeabili"}
{"subject": "math:arxiv_177274", "predicate": "proves", "object": "we investigate the radiation of spin-1 particles by black holes in ( 1 + 1 ) dimensions within the p"}
{"subject": "math:arxiv_177295", "predicate": "proves", "object": "we observe that any knot invariant extends to virtual knots . \n the isotopy classification problem f"}
{"subject": "math:arxiv_177300", "predicate": "proves", "object": "we apply the framework of tempered fractional calculus to investigate the spatial dispersion of elas"}
{"subject": "math:arxiv_177342", "predicate": "proves", "object": "by gluing together copies of an all - right angled coxeter polytope a number of open hyperbolic @xma"}
{"subject": "math:arxiv_177344", "predicate": "proves", "object": "the diffusion of astrophysical magnetic fields in conducting fluids in the presence of turbulence de"}
{"subject": "math:arxiv_177357", "predicate": "proves", "object": "fast rotation of compact stars ( at submillisecond period ) and , in particular , their stability , "}
{"subject": "math:arxiv_177358", "predicate": "proves", "object": "we present a compensated compactness theorem in banach spaces established recently , whose formulati"}
{"subject": "math:arxiv_177384", "predicate": "proves", "object": "in this paper we consider a semi - linear , defocusing , shifted wave equation on the hyperbolic spa"}
{"subject": "math:arxiv_177394", "predicate": "proves", "object": "geodesic equations of the vacuum c - metric are derived and solved for various cases . \n the solutio"}
{"subject": "math:arxiv_177401", "predicate": "proves", "object": "this paper investigates a background charge one skyrme field chirally coupled to light fermions on t"}
{"subject": "math:arxiv_177424", "predicate": "proves", "object": "we consider a nonlinear schrdinger equation with a bounded local potential in @xmath0 . the linear h"}
{"subject": "math:arxiv_177427", "predicate": "proves", "object": "this paper studies formulations of second - order elliptic partial differential equations in nondive"}
{"subject": "math:arxiv_177434", "predicate": "proves", "object": "the `` seifert conjecture '' asks , `` does every non - singular vector field on the 3-sphere @xmath"}
{"subject": "math:arxiv_177435", "predicate": "proves", "object": "by introducing a new point of view in algebraic topology relating elliptic curves in @xmath0 and sui"}
{"subject": "math:arxiv_177462", "predicate": "proves", "object": "a rigorous qed theory of the multiphoton decay of excited states in hydrogen atom is presented . \n t"}
{"subject": "math:arxiv_177466", "predicate": "proves", "object": "the influence of particle - phonon coupling on pairing correlations in nuclei is studied by solving "}
{"subject": "math:arxiv_177487", "predicate": "proves", "object": "a theorem is proved concerning approximation of analytic functions by multivariate polynomials in th"}
{"subject": "math:arxiv_177495", "predicate": "proves", "object": "to understand the mechanism of the fermion pair and fermion - antifermion pair condensation , the so"}
{"subject": "math:arxiv_177497", "predicate": "proves", "object": "atom lasers based on rf - outcoupling from a trapped bose - einstein condensate can be described by "}
{"subject": "math:arxiv_177519", "predicate": "proves", "object": "if dark energy can be described as a perfect fluid , then , apart from its equation of state relatin"}
{"subject": "math:arxiv_177588", "predicate": "proves", "object": "we review our recent analysis of @xmath0 scattering data in terms of roy equations and forward dispe"}
{"subject": "math:arxiv_177591", "predicate": "proves", "object": "many of the known solutions of the yang - baxter equation , which are related to solvable lattice mo"}
{"subject": "math:arxiv_177612", "predicate": "proves", "object": "the teraherz ( thz ) photoresponse of a two - dimensional electron gas in the quantum hall regime is"}
{"subject": "math:arxiv_177618", "predicate": "proves", "object": "topological quantum phase transitions intrinsically intertwine self - similarity and topology of man"}
{"subject": "math:arxiv_177624", "predicate": "proves", "object": "the most commonly used definition of halo formation is the time when a halo s most massive progenito"}
{"subject": "math:arxiv_177628", "predicate": "proves", "object": "proteins , chain molecules of amino acids , behave in ways which are similar to each other yet quite"}
{"subject": "math:arxiv_177640", "predicate": "proves", "object": "we report on dynamical quantum transport simulations for realistic molecular devices based on an app"}
{"subject": "math:arxiv_177651", "predicate": "proves", "object": "in this paper we study exceptional dehn fillings on hyperbolic knot manifolds which contain an essen"}
{"subject": "math:arxiv_177659", "predicate": "proves", "object": "we have studied a kondo hole in a one - dimensional kondo insulator at half - filling using a densit"}
{"subject": "math:arxiv_177674", "predicate": "proves", "object": "we investigate the fully general class of non - expanding , non - twisting and shear - free @xmath0-"}
{"subject": "math:arxiv_177685", "predicate": "proves", "object": "systems with an @xmath0 symmetrical hamiltonian are considered in a @xmath1-dimensional slab geometr"}
{"subject": "math:arxiv_177689", "predicate": "proves", "object": "the present note refers to a result proposed in @xcite , and shows that the theorem therein is not c"}
{"subject": "math:arxiv_177712", "predicate": "proves", "object": "finite version of random domino automaton ( frda ) - recently proposed in @xcite as a toy model of e"}
{"subject": "math:arxiv_177713", "predicate": "proves", "object": "we study strategies for increasing the precision in the blurring models by maintaining a complexity "}
{"subject": "math:arxiv_177720", "predicate": "proves", "object": "the paper presents algebraic and logical developments . from the algebraic viewpoint , \n we introduc"}
{"subject": "math:arxiv_177731", "predicate": "proves", "object": "these are lecture notes on a recent remarkable preprint of ein - popa , which simplifies the algebra"}
{"subject": "math:arxiv_177732", "predicate": "proves", "object": "the dynamics of vortex ring pairs in the homogeneous nonlinear schrdinger equation is studied . \n th"}
{"subject": "math:arxiv_177744", "predicate": "proves", "object": "we study the friction coefficient of a macroscopic sphere in a viscous fluid at low reynolds number "}
{"subject": "math:arxiv_177749", "predicate": "proves", "object": "we derive mehler  heine type asymptotic formulas for charlier and meixner polynomials , and also for"}
{"subject": "math:arxiv_177762", "predicate": "proves", "object": "solving the stochastic landau - lifshitz - gilbert equation numerically , we investigate the effect "}
{"subject": "math:arxiv_177771", "predicate": "proves", "object": "we show that every unimodular lie algebra , of dimension at most 4 , equipped with an inner product "}
{"subject": "math:arxiv_177773", "predicate": "proves", "object": "line - of - sight ( los ) multiple - input multiple - output ( mimo ) gives full spatial - multiplex"}
{"subject": "math:arxiv_177774", "predicate": "proves", "object": "this is a review of our previous works @xcite ( some of them joint with b. feigin and n. reshetikhin"}
{"subject": "math:arxiv_177779", "predicate": "proves", "object": "we study via the renormalization group equations at one - loop order the perturbativity and vacuum s"}
{"subject": "math:arxiv_177783", "predicate": "proves", "object": "area regge calculus is a candidate theory of simplicial gravity , based on the regge action with tri"}
{"subject": "math:arxiv_177784", "predicate": "proves", "object": "separation of the dirac equation in the spacetime around a kerr black hole into radial and angular c"}
{"subject": "math:arxiv_177797", "predicate": "proves", "object": "in this paper we investigate the problem of ordinary baryonic matter accretion onto the noncommutati"}
{"subject": "math:arxiv_177807", "predicate": "proves", "object": "we present a new chiral power expansion scheme for the nuclear equation of state . \n the scheme is e"}
{"subject": "math:arxiv_177818", "predicate": "proves", "object": "we study numerically majorana fermions ( mfs ) induced by a charged impurity in topological supercon"}
{"subject": "math:arxiv_177822", "predicate": "proves", "object": "a new method is proposed for practical calculation of the effective interaction between impurity sca"}
{"subject": "math:arxiv_177828", "predicate": "proves", "object": "in addition to the boosted static solution there are two other classes of stationary string - like s"}
{"subject": "math:arxiv_177851", "predicate": "proves", "object": "we revisit the standard axioms of domain theory with emphasis on their relation to the concept of pa"}
{"subject": "math:arxiv_177852", "predicate": "proves", "object": "we lift an action of a torus  @xmath0 on the spectrum of a continuous trace algebra to an action of "}
{"subject": "math:arxiv_177883", "predicate": "proves", "object": "in a pair of papers , we construct invariants for smooth four  manifolds equipped with ` broken fibr"}
{"subject": "math:arxiv_177894", "predicate": "proves", "object": "this article deals with the weak error for averaging principle for two - time - scale system of jump"}
{"subject": "math:arxiv_177900", "predicate": "proves", "object": "let @xmath0 be an adjoint semisimple linear group over @xmath1 . \n we analyze the relationship betwe"}
{"subject": "math:arxiv_177901", "predicate": "proves", "object": "we study the entanglement spectrum of a chern insulator on a cylinder geometry , with the cut separa"}
{"subject": "math:arxiv_177923", "predicate": "proves", "object": "we prove a version of the sarkisov program for volume preserving birational maps of mori fibred cala"}
{"subject": "math:arxiv_177925", "predicate": "proves", "object": "the parking - lot model provides a qualitative description of the main features of the phenomenology"}
{"subject": "math:arxiv_177941", "predicate": "proves", "object": "crystalline graded rings are generalizations of certain classes of rings like generalized twisted gr"}
{"subject": "math:arxiv_177949", "predicate": "proves", "object": "we explain a characterization of einstein - fano manifolds in terms of the lower bound of the densit"}
{"subject": "math:arxiv_177951", "predicate": "proves", "object": "cosmic super - strings interact generically with a tower of relatively light and/or strongly coupled"}
{"subject": "math:arxiv_177958", "predicate": "proves", "object": "analogues of khintchine s theorem in simultaneous diophantine approximation in the plane are proved "}
{"subject": "math:arxiv_177974", "predicate": "proves", "object": "we define a quasi  projective reduction of a complex algebraic variety @xmath0 to be a regular map f"}
{"subject": "math:arxiv_177989", "predicate": "proves", "object": "a study is presented for the non linear evolution of a self gravitating distribution of matter coupl"}
{"subject": "math:arxiv_178003", "predicate": "proves", "object": "the purpose of this paper is to put the description of number scaling and its effects on physics and"}
{"subject": "math:arxiv_178025", "predicate": "proves", "object": "we study the role of electron - electron interactions for spin polarized transport using the boltzma"}
{"subject": "math:arxiv_178042", "predicate": "proves", "object": "in this paper , the discontinuous cell method ( dcm ) is formulated with the objective of simulating"}
{"subject": "math:arxiv_178054", "predicate": "proves", "object": "using convex integration we give a constructive proof of the well - known fact that every continuous"}
{"subject": "math:arxiv_178059", "predicate": "proves", "object": "we study the three - player prisoner s dilemma game under the effect of decoherence and correlated n"}
{"subject": "math:arxiv_178067", "predicate": "proves", "object": "we introduce the concept of quotient in pn spaces and give some examples . \n we prove some theorems "}
{"subject": "math:arxiv_178071", "predicate": "proves", "object": "the continuous spontaneous localization ( csl ) theory alters the schrdinger equation . \n it describ"}
{"subject": "math:arxiv_178072", "predicate": "proves", "object": "we revisit and generalize our previous algebraic construction of the chiral effective action for con"}
{"subject": "math:arxiv_178075", "predicate": "proves", "object": "we theoretically study the properties of nambu - goldstone bosons in an interacting single - compone"}
{"subject": "math:arxiv_178078", "predicate": "proves", "object": "motivated by gauss s first proof of the fundamental theorem of algebra , we study the topology of ha"}
{"subject": "math:arxiv_178080", "predicate": "proves", "object": "we demonstrate a method which allows the stochastic modelling of quantum systems for which the gener"}
{"subject": "math:arxiv_178101", "predicate": "proves", "object": "we consider a markovian jumping process with two absorbing barriers , for which the waiting - time d"}
{"subject": "math:arxiv_178107", "predicate": "proves", "object": "we show that any closed incompressible surface in the complement of a positive knot is algebraically"}
{"subject": "math:arxiv_178125", "predicate": "proves", "object": "in this paper we study the cosmic acceleration for five dynamical dark energy models whose equation "}
{"subject": "math:arxiv_178126", "predicate": "proves", "object": "we present an analytical simple formula for an approximated third integral of motion associated with"}
{"subject": "math:arxiv_178127", "predicate": "proves", "object": "ehrhart s famous theorem states that the number of integral points in a rational polytope is a quasi"}
{"subject": "math:arxiv_178139", "predicate": "proves", "object": "this work discusses the homogenization analysis for diffusion processes on scale - free metric graph"}
{"subject": "math:arxiv_178147", "predicate": "proves", "object": "in this note we consider general formulation of euler s equations for an inviscid incompressible hom"}
{"subject": "math:arxiv_178163", "predicate": "proves", "object": "all stationary solutions to the one - dimensional nonlinear schrdinger equation under box or periodi"}
{"subject": "math:arxiv_178169", "predicate": "proves", "object": "we use linear response analysis and the fluctuation - dissipation theorem to derive the energy loss "}
{"subject": "math:arxiv_178171", "predicate": "proves", "object": "we examine an algorithm for the visualization of domain - coloured riemann surfaces of plane algebra"}
{"subject": "math:arxiv_178177", "predicate": "proves", "object": "in this paper , the deformation of the heisenberg algebra , consistent with both the generalized unc"}
{"subject": "math:arxiv_178189", "predicate": "proves", "object": "after extending the clarkson - kruskal s direct similarity reduction ansatz to a more general form ,"}
{"subject": "math:arxiv_178201", "predicate": "proves", "object": "we describe the stability manifold of the bounded derived category @xmath0 of coherent sheaves on @x"}
{"subject": "math:arxiv_178206", "predicate": "proves", "object": "we verify a conjecture on the structure of higher - rank numerical ranges for a wide class of unitar"}
{"subject": "math:arxiv_178212", "predicate": "proves", "object": "we formulate the error and disturbance in quantum measurement by invoking quantum estimation theory "}
{"subject": "math:arxiv_178227", "predicate": "proves", "object": "the spinor representations of the orthosymplectic lie superalgebras @xmath0 are considered and const"}
{"subject": "math:arxiv_178232", "predicate": "proves", "object": "we survey results on multiserial algebras , special multiserial algebras and brauer configuration al"}
{"subject": "math:arxiv_178238", "predicate": "proves", "object": "the paper considers a distributed robust estimation problem over a network with markovian randomly v"}
{"subject": "math:arxiv_178251", "predicate": "proves", "object": "we consider the model equation arising in the theory of viscoelasticity @xmath0 here , the main feat"}
{"subject": "math:arxiv_178287", "predicate": "proves", "object": "in this paper , using the darboux transformation , we demonstrate the generation of first - order br"}
{"subject": "math:arxiv_178300", "predicate": "proves", "object": "we consider an integrable , nonlocal and nonlinear , schrdinger equation ( nnse ) as a model for bui"}
{"subject": "math:arxiv_178301", "predicate": "proves", "object": "bell s theorem was a cornerstone for our understanding of quantum theory , and the establishment of "}
{"subject": "math:arxiv_178305", "predicate": "proves", "object": "a master equation , derived from the non - markovian quantum state diffusion ( nmqsd ) , is used to "}
{"subject": "math:arxiv_178310", "predicate": "proves", "object": "lf is a dependent type theory in which many other formal systems can be conveniently embedded . \n ho"}
{"subject": "math:arxiv_178323", "predicate": "proves", "object": "after a brief presentation of the exact renormalization group equation , we illustrate how the field"}
{"subject": "math:arxiv_178344", "predicate": "proves", "object": "we prove that a directed last passage percolation model with discontinuous macroscopic ( non - rando"}
{"subject": "math:arxiv_178345", "predicate": "proves", "object": "connections are found between the two - component percolation problem and the conductor / insulator "}
{"subject": "math:arxiv_178356", "predicate": "proves", "object": "in this paper , our aim is to study a numerical method for an ultraparabolic equation with nonlinear"}
{"subject": "math:arxiv_178360", "predicate": "proves", "object": "following the wellknown spacetime decomposition technique as applied to ( d+1 ) dimensions we write "}
{"subject": "math:arxiv_178390", "predicate": "proves", "object": "we propose a new approach to the self - consistency equation , which arises in the problem of the mo"}
{"subject": "math:arxiv_178393", "predicate": "proves", "object": "we analyze in detail conformally flat spherically symmetric fluid distributions , satisfying a polyt"}
{"subject": "math:arxiv_178401", "predicate": "proves", "object": "in this paper we analyze the normal forms of a general quadratic hamiltonian system defined on the d"}
{"subject": "math:arxiv_178403", "predicate": "proves", "object": "the newton equation describing the particle motion in constant external field force on canonical , l"}
{"subject": "math:arxiv_178404", "predicate": "proves", "object": "using the geroch transformation we obtain the first example of an exact stiff fluid spike solution t"}
{"subject": "math:arxiv_178405", "predicate": "proves", "object": "we establish a general theory of feedback control on classical stochastic thermodynamic systems , an"}
{"subject": "math:arxiv_178409", "predicate": "proves", "object": "we formulate and demonstrate experimentally the high - resolution spectral method based on bloch - w"}
{"subject": "math:arxiv_178410", "predicate": "proves", "object": "a network of agents cooperate on a given area . time evolution of their power is described within a "}
{"subject": "math:arxiv_178411", "predicate": "proves", "object": "we present a semiconductor master equation technique to study the input / output characteristics of "}
{"subject": "math:arxiv_178434", "predicate": "proves", "object": "we describe explicit horizontal open books on some seifert fibered 3manifolds . \n we show that the c"}
{"subject": "math:arxiv_178438", "predicate": "proves", "object": "in this paper , genus statistics have been applied to an hi column density map of the small magellan"}
{"subject": "math:arxiv_178443", "predicate": "proves", "object": "in this paper , we obtain an exact formula for the entanglement entropy of the ground state and all "}
{"subject": "math:arxiv_178454", "predicate": "proves", "object": "the thermodynamics of quantum systems coupled to periodically modulated heat baths and work reservoi"}
{"subject": "math:arxiv_178460", "predicate": "proves", "object": "according to the chemical reaction network theory , the topology of a certain class of chemical reac"}
{"subject": "math:arxiv_178464", "predicate": "proves", "object": "bisch and jones suggested the skein theoretic classification of planar algebras and investigated the"}
{"subject": "math:arxiv_178468", "predicate": "proves", "object": "the structure of the broad emission line region ( blr ) in active galactic nuclei ( agn ) remains un"}
{"subject": "math:arxiv_178485", "predicate": "proves", "object": "we study the properties of the ground state of nonlinear schrdinger equations with spatially inhomog"}
{"subject": "math:arxiv_178486", "predicate": "proves", "object": "we put the adler - gelfand - dickey approach to classical @xmath0-algebras in the framework of poiss"}
{"subject": "math:arxiv_178493", "predicate": "proves", "object": "we generalize the mean field magnetic dynamo to include local evolution of the mean vorticity in add"}
{"subject": "math:arxiv_178508", "predicate": "proves", "object": "the interaction between planetary waves and an arbitrary zonal flow is studied from a phase - space "}
{"subject": "math:arxiv_178520", "predicate": "proves", "object": "triple linking numbers were defined for @xmath0-component oriented surface - links in @xmath1-space "}
{"subject": "math:arxiv_178542", "predicate": "proves", "object": "in this paper we study a linear model of spatially inhomogeneous boltzmann equation without angular "}
{"subject": "math:arxiv_178546", "predicate": "proves", "object": "in a recent paper goriely considers the one  dimensional scalar reaction  diffusion equation @xmath0"}
{"subject": "math:arxiv_178547", "predicate": "proves", "object": "we consider the cubic defocusing nonlinear schrdinger equation on the two dimensional torus . \n we e"}
{"subject": "math:arxiv_178552", "predicate": "proves", "object": "the aim of this paper is to derive a new equation ( the _ acoustic - drift equation _ ( ade ) ) desc"}
{"subject": "math:arxiv_178553", "predicate": "proves", "object": "the existence of classical solutions of the einstein - yang - mills - higgs equations describing bla"}
{"subject": "math:arxiv_178561", "predicate": "proves", "object": "the aim of the article is to show a hrmander spectral multiplier theorem for an operator @xmath0 who"}
{"subject": "math:arxiv_178576", "predicate": "proves", "object": "self - consistent rpa is extended in a way so that it is compatable with a variational ansatz for th"}
{"subject": "math:arxiv_178584", "predicate": "proves", "object": "in this paper , we explicitly work out the subfactor planar algebra @xmath0 for an intermediate subf"}
{"subject": "math:arxiv_178591", "predicate": "proves", "object": "in this paper we solve numerically a _ degenerate _ parabolic equation with _ dynamical _ boundary c"}
{"subject": "math:arxiv_178592", "predicate": "proves", "object": "a binary three - dimensional ( 3d ) image @xmath0 is well - composed if the boundary surface of its "}
{"subject": "math:arxiv_178594", "predicate": "proves", "object": "in this paper we consider a semi - linear , energy sub - critical , defocusing wave equation @xmath0"}
{"subject": "math:arxiv_178595", "predicate": "proves", "object": "let @xmath0 and @xmath1 be compact , orientable 3-manifolds , and @xmath2 the manifold obtained by g"}
{"subject": "math:arxiv_178604", "predicate": "proves", "object": "we study subdiffusive overdamped brownian ratchets periodically rocked by an external zero - mean fo"}
{"subject": "math:arxiv_178632", "predicate": "proves", "object": "fractional vector calculus is discussed in the spherical coordinate framework . \n a variation of the"}
{"subject": "math:arxiv_178650", "predicate": "proves", "object": "a conjecture of riley about the relationship between real parabolic representations and signatures o"}
{"subject": "math:arxiv_178655", "predicate": "proves", "object": "we investigate the coherent bremsstrahlung by relativistic electrons in a single crystal excited by "}
{"subject": "math:arxiv_178658", "predicate": "proves", "object": "we study properties of cartesian products of digital images , using a variety of adjacencies that ha"}
{"subject": "math:arxiv_178681", "predicate": "proves", "object": "evolutionary synthesis models for stellar populations of various ages and chemical compositions are "}
{"subject": "math:arxiv_178697", "predicate": "proves", "object": "we introduce bv - algebra structures on the homology of the space of framed long knots in @xmath0 in"}
{"subject": "math:arxiv_178716", "predicate": "proves", "object": "the system of oscillator interacting with vacuum is considered as a problem of random motion of quan"}
{"subject": "math:arxiv_178749", "predicate": "proves", "object": "a host of spatially extended systems , both in physics and in other disciplines , are well described"}
{"subject": "math:arxiv_178771", "predicate": "proves", "object": "we show that the chebyshev polynomials form a basic block of any positive basis of the kauffman brac"}
{"subject": "math:arxiv_178782", "predicate": "proves", "object": "these are notes for a series of five lectures on `` moduli and degenerations of algebraic curves via"}
{"subject": "math:arxiv_178811", "predicate": "proves", "object": "motivated by the fact that the location(s ) and structural properties of the pinning node(s ) affect"}
{"subject": "math:arxiv_178830", "predicate": "proves", "object": "the interpretation of the expanding universe as an expansion of space has recently been challenged ."}
{"subject": "math:arxiv_178859", "predicate": "proves", "object": "the fundamental groups of compact 3manifolds are known to be residually finite . \n feng luo conjectu"}
{"subject": "math:arxiv_178866", "predicate": "proves", "object": "we present a relativistic three - body equation to study the stability of the isolated three - body "}
{"subject": "math:arxiv_178877", "predicate": "proves", "object": "0.5 cm we study the kinetic regime of the bose - condensation of scalar particles with weak @xmath0 "}
{"subject": "math:arxiv_178879", "predicate": "proves", "object": "in this work a new asymptotically flat solution of the coupled einstein - born - infeld equations fo"}
{"subject": "math:arxiv_178887", "predicate": "proves", "object": "we present a new numerical scheme for solving the advection equation and its application to vlasov s"}
{"subject": "math:arxiv_178894", "predicate": "proves", "object": "the nonlinear pseudo - oscillator recently tackled by gadella and lara is mapped to an emden - fowle"}
{"subject": "math:arxiv_178899", "predicate": "proves", "object": "we show that a simple and straightforward rational approximation to the thomas  fermi equation provi"}
{"subject": "math:arxiv_178901", "predicate": "proves", "object": "nuclei in dense matter are influenced by the medium . in the cluster mean field approximation , an e"}
{"subject": "math:arxiv_178908", "predicate": "proves", "object": "we apply tsallis s @xmath0-indexed nonextensive entropy to formulate a random matrix theory ( * rmt "}
{"subject": "math:arxiv_178922", "predicate": "proves", "object": "we apply the light - front reduction of the bethe - salpeter equation to matrix elements of the elec"}
{"subject": "math:arxiv_178943", "predicate": "proves", "object": "equilibrium states of black holes can be modelled by isolated horizons . \n if the intrinsic geometry"}
{"subject": "math:arxiv_178944", "predicate": "proves", "object": "we study a family of semiample divisors on the moduli space @xmath0 that come from the theory of con"}
{"subject": "math:arxiv_178946", "predicate": "proves", "object": "we consider a simple newtonian model of a steady accretion disk around a black hole . the model is b"}
{"subject": "math:arxiv_178960", "predicate": "proves", "object": "dna s shape mostly lies on its total energy @xmath0 . \n its corresponding equilibrium shape equation"}
{"subject": "math:arxiv_178970", "predicate": "proves", "object": "using quasiparticle models and imposing thermodynamic consistency , lattice data for the equation of"}
{"subject": "math:arxiv_178978", "predicate": "proves", "object": "we consider a semilinear elliptic equation with a nonsmooth , locally potential function ( hemivaria"}
{"subject": "math:arxiv_178989", "predicate": "proves", "object": "this paper examines the relationship between certain non - commutative analogues of projective 3-spa"}
{"subject": "math:arxiv_179003", "predicate": "proves", "object": "the multiplicative fragment of linear logic is the formal system in this family with the best unders"}
{"subject": "math:arxiv_179015", "predicate": "proves", "object": "recently , an asymptotic solution of the rayleigh equation for an empty bubble in @xmath0 dimensions"}
{"subject": "math:arxiv_179023", "predicate": "proves", "object": "we consider the influence of stochastic perturbations on stability of a unique positive equilibrium "}
{"subject": "math:arxiv_179039", "predicate": "proves", "object": "in this paper we construct quantum algorithms for matrix products over several algebraic structures "}
{"subject": "math:arxiv_179042", "predicate": "proves", "object": "the @xmath0 resonance production reaction is investigated within the framework of the coupled - chan"}
{"subject": "math:arxiv_179043", "predicate": "proves", "object": "the distributed system @xmath0 described by the dirac equation is investigated simply as a dynamic s"}
{"subject": "math:arxiv_179095", "predicate": "proves", "object": "gromov - witten theory is used to define an enumerative geometry of curves in calabi - yau 4-folds ."}
{"subject": "math:arxiv_179110", "predicate": "proves", "object": "we survey the close relationship between sound and light rays and geometry . in the case where the m"}
{"subject": "math:arxiv_179140", "predicate": "proves", "object": "we consider a wireless network composed of three nodes and limited by the half - duplex and total po"}
{"subject": "math:arxiv_179147", "predicate": "proves", "object": "we study the classical action functional @xmath0 on the free loop space of a closed , finite dimensi"}
{"subject": "math:arxiv_179151", "predicate": "proves", "object": "within an axiomatic framework , we investigate the possibility of hypercomputation in special relati"}
{"subject": "math:arxiv_179200", "predicate": "proves", "object": "vector bundles and double vector bundles or @xmath0-fold vector bundles arise naturally for instance"}
{"subject": "math:arxiv_179225", "predicate": "proves", "object": "the transport and continuum equations exhibit a number of conservation laws . for example \n , scalar"}
{"subject": "math:arxiv_179232", "predicate": "proves", "object": "in this paper the well known belinskii and zakharov soliton generating transformations of the soluti"}
{"subject": "math:arxiv_179237", "predicate": "proves", "object": "in the anomaly equation for the singlet axial current the chiral limit of the quark mass term does n"}
{"subject": "math:arxiv_179248", "predicate": "proves", "object": "a modified dirac equation with general lorentz- and cpt - violating operators in the electromagnetic"}
{"subject": "math:arxiv_179284", "predicate": "proves", "object": "we investigate the structure of the macroscopic @xmath0-loop amplitude obtained from the two - matri"}
{"subject": "math:arxiv_179292", "predicate": "proves", "object": "the complex eikonal equation in the three space dimensions is considered . \n we show that apart from"}
{"subject": "math:arxiv_179299", "predicate": "proves", "object": "we derive two different sets of rate equations for sympathetic cooling of harmonically trapped boson"}
{"subject": "math:arxiv_179301", "predicate": "proves", "object": "recently the mechanism was found which allows avoidance of the cosmological singularity within the s"}
{"subject": "math:arxiv_179304", "predicate": "proves", "object": "einstein s famous equation @xmath0 for the rest energy of a system with mass @xmath1 requires that t"}
{"subject": "math:arxiv_179320", "predicate": "proves", "object": "the equations of motion and junction conditions for a gravi - dilaton brane world scenario are studi"}
{"subject": "math:arxiv_179324", "predicate": "proves", "object": "we consider manifolds with conic singularites that are isometric to @xmath0 outside a compact set . "}
{"subject": "math:arxiv_179334", "predicate": "proves", "object": "a derivation for a polarized ccfm evolution equation which is suitable to describe the scaling behav"}
{"subject": "math:arxiv_179350", "predicate": "proves", "object": "we consider implementations of high - order finite difference weighted essentially non - oscillatory"}
{"subject": "math:arxiv_179351", "predicate": "proves", "object": "the semijoin algebra is the variant of the relational algebra obtained by replacing the join operato"}
{"subject": "math:arxiv_179372", "predicate": "proves", "object": "the transport of single - phase fluid mixtures in porous media is described by cross - diffusion equ"}
{"subject": "math:arxiv_179373", "predicate": "proves", "object": "we extend the lieb - schupp theorem to the heisenberg models with higher order interactions on non -"}
{"subject": "math:arxiv_179390", "predicate": "proves", "object": "we have constructed three - dimensional models for the equilibrium abundance of molecular hydrogen w"}
{"subject": "math:arxiv_179396", "predicate": "proves", "object": "the double exchange ( de ) model with quantum local spins @xmath0 is studied ; an equation of motion"}
{"subject": "math:arxiv_179404", "predicate": "proves", "object": "given a differential graded ( dg ) symmetric frobenius algebra @xmath0 we construct an unbounded com"}
{"subject": "math:arxiv_179424", "predicate": "proves", "object": "theoretical results regarding two - dimensional ordinary - differential equations ( odes ) with seco"}
{"subject": "math:arxiv_179433", "predicate": "proves", "object": "we analyze the running at one - loop of the gauge couplings in the spectral pati  salam model that w"}
{"subject": "math:arxiv_179462", "predicate": "proves", "object": "we extend matveev s theory of complexity for 3-manifolds , based on simple spines , to ( closed , or"}
{"subject": "math:arxiv_179468", "predicate": "proves", "object": "often semiparametric estimators are asymptotically equivalent to a sample average . \n the object bei"}
{"subject": "math:arxiv_179478", "predicate": "proves", "object": "we study the flow equation of the o(@xmath0 ) @xmath1 model in @xmath2 dimensions at the next - to -"}
{"subject": "math:arxiv_179485", "predicate": "proves", "object": "we use the macroscopic fluctuation theory to determine the statistics of large currents in the kipni"}
{"subject": "math:arxiv_179490", "predicate": "proves", "object": "we discuss how basic notions of graph theory and associated graph polynomials define questions for a"}
{"subject": "math:arxiv_179508", "predicate": "proves", "object": "in this paper we study the phases of a schwarzschild black hole in the anti desitter background geom"}
{"subject": "math:arxiv_179517", "predicate": "proves", "object": "we will present an algebra related to the coxeter group of type @xmath0 which can be taken as a twis"}
{"subject": "math:arxiv_179519", "predicate": "proves", "object": "assuming the existence of a cosmological constant depending on time , we study the evolution of this"}
{"subject": "math:arxiv_179530", "predicate": "proves", "object": "this paper proves firoozbakht s conjecture using rosser and schoenfelds inequality on the distributi"}
{"subject": "math:arxiv_179534", "predicate": "proves", "object": "we present the first results obtained with a hybrid molecular dynamics algorithm applied to an @xmat"}
{"subject": "math:arxiv_179556", "predicate": "proves", "object": "we show that there are salem numbers of every trace . \n the nontrivial part of this result is for sa"}
{"subject": "math:arxiv_179558", "predicate": "proves", "object": "in this paper , we obtained a class of oscillatory , cyclic and knot type solutions from the non - l"}
{"subject": "math:arxiv_179561", "predicate": "proves", "object": "search for a proper and realistic equation of state ( eos ) for strongly interacting matter used in "}
{"subject": "math:arxiv_179562", "predicate": "proves", "object": "we define a relative yamabe invariant of a smooth manifold with given conformal class on its boundar"}
{"subject": "math:arxiv_179565", "predicate": "proves", "object": "we construct a smooth riemannian metric on any 3-manifold with the property that there are genus zer"}
{"subject": "math:arxiv_179582", "predicate": "proves", "object": "the review of the mathematical treatment of plasmon resonances as an eigenvalue problem for specific"}
{"subject": "math:arxiv_179587", "predicate": "proves", "object": "we examine the prospect of using the observed abundance of weak gravitational lenses to constrain th"}
{"subject": "math:arxiv_179588", "predicate": "proves", "object": "we show that the following three systems related to various hydrodynamical approximations : the kort"}
{"subject": "math:arxiv_179590", "predicate": "proves", "object": "the optical conductivity [ @xmath0 spectra of alkaline - earth - filled skutterudites with the chemi"}
{"subject": "math:arxiv_179591", "predicate": "proves", "object": "we study the bloch theorem which states absence of the spontaneous current in interacting electron s"}
{"subject": "math:arxiv_179601", "predicate": "proves", "object": "confining a binary mixture , one can profoundly alter its miscibility behavior . \n the qualitative f"}
{"subject": "math:arxiv_179603", "predicate": "proves", "object": "an interesting monogamy equation with the form of pythagorean theorem is found for @xmath0-dimension"}
{"subject": "math:arxiv_179605", "predicate": "proves", "object": "among the several proofs known for @xmath0 , the one by beukers , calabi , and kolk involves the eva"}
{"subject": "math:arxiv_179611", "predicate": "proves", "object": "we study the stationary solutions of the gross - pitaevskii equation that reduce , in the limit of v"}
{"subject": "math:arxiv_179634", "predicate": "proves", "object": "by the sometimes so - called _ main theorem _ of recursive analysis , every computable real function"}
{"subject": "math:arxiv_179643", "predicate": "proves", "object": "within the nuclear fermi - liquid drop model , quantum and thermal fluctuations are considered by us"}
{"subject": "math:arxiv_179649", "predicate": "proves", "object": "we consider two types of modifications of born - infeld gravity in the palatini formulation and expl"}
{"subject": "math:arxiv_179653", "predicate": "proves", "object": "we define invariants of unoriented knots and links by enhancing the integral kei counting invariant "}
{"subject": "math:arxiv_179672", "predicate": "proves", "object": "consider two bounded domains @xmath0 and @xmath1 in @xmath2 , and two sufficiently regular probabili"}
{"subject": "math:arxiv_179675", "predicate": "proves", "object": "in this paper we study the interior angle sums of geodesic triangles in @xmath0 geometry and prove t"}
{"subject": "math:arxiv_179678", "predicate": "proves", "object": "mass segregation stands as one of the most robust features of the dynamical evolution of self - grav"}
{"subject": "math:arxiv_179682", "predicate": "proves", "object": "a rephasing invariant parametrization is introduced for three flavor neutrino mixing . for neutrino "}
{"subject": "math:arxiv_179696", "predicate": "proves", "object": "considering the gross - pitaevskii integral equation we are able to formally obtain an analytical so"}
{"subject": "math:arxiv_179699", "predicate": "proves", "object": "we exhibit a static , cylindrically symmetric , exact solution to the euler - heisenberg field equat"}
{"subject": "math:arxiv_179727", "predicate": "proves", "object": "the gradient flow equation in the 2d @xmath0 nonlinear sigma model with lattice regularization is so"}
{"subject": "math:arxiv_179740", "predicate": "proves", "object": "three approaches are considered to solve the equation which describes the time - dependent diffusive"}
{"subject": "math:arxiv_179765", "predicate": "proves", "object": "the density functional approach in the kohn - sham approximation is widely used to study properties "}
{"subject": "math:arxiv_179776", "predicate": "proves", "object": "the possible observations of trojan - like extrasolar planets stimulate the deeper understanding of "}
{"subject": "math:arxiv_179783", "predicate": "proves", "object": "the finiteness of black hole entropy suggest that spacetime is fundamentally discrete , and hints at"}
{"subject": "math:arxiv_179842", "predicate": "proves", "object": "the calculations of the double parton scattering cross sections are discussed . \n it is shown that t"}
{"subject": "math:arxiv_179864", "predicate": "proves", "object": "formal but exact dc conductivity formulae for anisotropic fermi liquids are reviewed . \n one is the "}
{"subject": "math:arxiv_179870", "predicate": "proves", "object": "while controlling particle diffusion in a confined geometry is a popular approach taken by both natu"}
{"subject": "math:arxiv_179885", "predicate": "proves", "object": "we derive general equations for the nonlinear relaxation time of brownian diffusion in randomly swit"}
{"subject": "math:arxiv_179905", "predicate": "proves", "object": "the partition function of the @xmath0- or @xmath1-symmetric euclidean barrett  crane model can be un"}
{"subject": "math:arxiv_179906", "predicate": "proves", "object": "considering the froissart - martin bound , jin - martin - cornille bound and the optical theorem , w"}
{"subject": "math:arxiv_179913", "predicate": "proves", "object": "fractal interpolation has been proposed in the literature as an efficient way to construct closure m"}
{"subject": "math:arxiv_179916", "predicate": "proves", "object": "it is shown that the standard cosmological parallax  distance formula , as found in the literature ,"}
{"subject": "math:arxiv_179918", "predicate": "proves", "object": "we study a random heteropolymer model with langevin dynamics , in the supersymmetric formulation . e"}
{"subject": "math:arxiv_179921", "predicate": "proves", "object": "the gribov problem in the presence of a background field is analyzed : in particular , we study the "}
{"subject": "math:arxiv_179943", "predicate": "proves", "object": "we consider a six dimensional brane world model with asymmetric warp factors for time and both extra"}
{"subject": "math:arxiv_179951", "predicate": "proves", "object": "theano is a linear algebra compiler that optimizes a user s symbolically - specified mathematical co"}
{"subject": "math:arxiv_179977", "predicate": "proves", "object": "we consider atomic chains with nonlocal particle interactions and prove the existence of near - soni"}
{"subject": "math:arxiv_179981", "predicate": "proves", "object": "in this paper the family of elliptic curves over @xmath0 given by the equation @xmath1 where @xmath2"}
{"subject": "math:arxiv_179996", "predicate": "proves", "object": "we consider the stability of ( quasi-)periodic solutions of soliton equations under short range pert"}
{"subject": "math:arxiv_180030", "predicate": "proves", "object": "the construction of a nonautonomous mixed mkdv / sine - gordon model is proposed by employing an inf"}
{"subject": "math:arxiv_180036", "predicate": "proves", "object": "a numerical method to integrate the time - dependent hartree - fock bogoliubov ( tdhfb ) equations w"}
{"subject": "math:arxiv_180040", "predicate": "proves", "object": "a longstanding conjecture by belinskii , khalatnikov , and lifshitz that the singularity in generic "}
{"subject": "math:arxiv_180041", "predicate": "proves", "object": "consider a solution @xmath0 of a prescribed mean curvature equation @xmath1 where @xmath2 is a domai"}
{"subject": "math:arxiv_180057", "predicate": "proves", "object": "given a finite , connected graph g , t its edge adjacency matrix , and n , a positive integer , this"}
{"subject": "math:arxiv_180066", "predicate": "proves", "object": "we consider a system of nonlinear partial differential equations that describes an age - structured "}
{"subject": "math:arxiv_180070", "predicate": "proves", "object": "groverian and geometric entanglement measures of the @xmath0-party pure state are expressed by the @"}
{"subject": "math:arxiv_180084", "predicate": "proves", "object": "the current dependence of the exponent of the spin torque switching rate of an in - plane magnetized"}
{"subject": "math:arxiv_180112", "predicate": "proves", "object": "a method of defining the complex structure(@xmath0 moduli ) for dynamically triangulated(dt ) surfac"}
{"subject": "math:arxiv_180144", "predicate": "proves", "object": "we consider localized perturbations to spatially homogeneous oscillations in dimension 3 using the c"}
{"subject": "math:arxiv_180169", "predicate": "proves", "object": "we establish the large deviation principle for solutions of one - dimensional sdes with discontinuou"}
{"subject": "math:arxiv_180172", "predicate": "proves", "object": "analytical solutions for reconnective annihilation in curvilinear geometry are presented . \n these s"}
{"subject": "math:arxiv_180173", "predicate": "proves", "object": "let @xmath0 be a finite field of characteristic 2 and @xmath1 be the element @xmath2 of @xmath3 $ ] "}
{"subject": "math:arxiv_180193", "predicate": "proves", "object": "in 1929 b.  n.  delaunay proved that there are exactly 5 types of coincidence of parallelohedra at f"}
{"subject": "math:arxiv_180198", "predicate": "proves", "object": "this article is concerned with pointwise growth and spreading speeds in systems of parabolic partial"}
{"subject": "math:arxiv_180207", "predicate": "proves", "object": "the topology of an instant messaging system is described . \n statistical measures of the network are"}
{"subject": "math:arxiv_180217", "predicate": "proves", "object": "we show that the euclidean wasserstein distance is contractive for inelastic homogeneous boltzmann k"}
{"subject": "math:arxiv_180229", "predicate": "proves", "object": "in this paper we prove an alexandrov type theorem for a quotient space of @xmath0 more precisely we "}
{"subject": "math:arxiv_180245", "predicate": "proves", "object": "we present solutions to the einstein - maxwell system of equations in spherically symmetric gravitat"}
{"subject": "math:arxiv_180253", "predicate": "proves", "object": "we explore the relation among volume , curvature and properness of a @xmath0-dimensional isometric i"}
{"subject": "math:arxiv_180268", "predicate": "proves", "object": "we review interaction models for grb afterglows , with an eye on constraining the nature of their pr"}
{"subject": "math:arxiv_180293", "predicate": "proves", "object": "we show the existence of stationary solutions of a 1-d gross - pitaevskii equation in presence of a "}
{"subject": "math:arxiv_180296", "predicate": "proves", "object": "in 1992 , david wright proved a remarkable theorem about which contractible open manifolds are cover"}
{"subject": "math:arxiv_180311", "predicate": "proves", "object": "we construct examples of simply connected nonalgebraic symplectic fourfolds with a prescribed number"}
{"subject": "math:arxiv_180319", "predicate": "proves", "object": "we derive equations of motion for the tachyon field living on an unstable non - bps d - brane in the"}
{"subject": "math:arxiv_180326", "predicate": "proves", "object": "the arctic circle theorem of jockusch , propp , and shor asserts that uniformly random domino tiling"}
{"subject": "math:arxiv_180334", "predicate": "proves", "object": "in this chapter , we survey the algebraic aspects of quantum teichmller space , generalized kashaev "}
{"subject": "math:arxiv_180335", "predicate": "proves", "object": "it is shown that upon considering an alternative form of a parity - violating part of the transition"}
{"subject": "math:arxiv_180356", "predicate": "proves", "object": "we present a faster method to determine all singularities of quiver moduli spaces up to smooth equiv"}
{"subject": "math:arxiv_180365", "predicate": "proves", "object": "by solving a set of recursion relations for the matrix elements of the @xmath0 generators , the fini"}
{"subject": "math:arxiv_180373", "predicate": "proves", "object": "we show the existence of the full compound asymptotics of solutions to the scalar wave equation on l"}
{"subject": "math:arxiv_180376", "predicate": "proves", "object": "we generalize the hierarchical equations of motion method to study electron transport through a quan"}
{"subject": "math:arxiv_180386", "predicate": "proves", "object": "we introduce an effective action smoothly extending the standard einstein - hilbert action to includ"}
{"subject": "math:arxiv_180397", "predicate": "proves", "object": "we investigate how the initial geometry of a heavy - ion collision is transformed into final flow ob"}
{"subject": "math:arxiv_180398", "predicate": "proves", "object": "we consider a conformally invariant version of the caldern problem , where the objective is to deter"}
{"subject": "math:arxiv_180406", "predicate": "proves", "object": "in this work we present a deep learning framework for video compressive sensing . \n the proposed for"}
{"subject": "math:arxiv_180412", "predicate": "proves", "object": "we investigate two interacting open quantum systems whose time evolutions are governed by markovian "}
{"subject": "math:arxiv_180431", "predicate": "proves", "object": "in this paper , we consider the initial - boundary value problem for the time - dependent maxwell \n "}
{"subject": "math:arxiv_180447", "predicate": "proves", "object": "a full implementation of the boltzmann - langevin equation for fermionic systems is introduced in a "}
{"subject": "math:arxiv_180448", "predicate": "proves", "object": "we exploit a microscopically derived master equation for the study of stirap in the presence of deca"}
{"subject": "math:arxiv_180456", "predicate": "proves", "object": "based on the fokker - planck equation we investigate the transport of an overdamped colloidal partic"}
{"subject": "math:arxiv_180478", "predicate": "proves", "object": "we study the robustness of majorana zero energy modes and minigaps of quasiparticle excitations in a"}
{"subject": "math:arxiv_180495", "predicate": "proves", "object": "fluctuation theorems , which have been developed over the past 15 years , have resulted in fundament"}
{"subject": "math:arxiv_180507", "predicate": "proves", "object": "we present in this paper a very adapted finite volume numerical scheme for transport type - equation"}
{"subject": "math:arxiv_180526", "predicate": "proves", "object": "we describe several methods to construct minimal foliations by hyperbolic surfaces on closed 3-manif"}
{"subject": "math:arxiv_180528", "predicate": "proves", "object": "david gabai showed that disk decomposable knot and link complements carry taut foliations of depth o"}
{"subject": "math:arxiv_180533", "predicate": "proves", "object": "we present a direct proof of malus theorem in geometrical optics founded on the symplectic structure"}
{"subject": "math:arxiv_180578", "predicate": "proves", "object": "simple bimolecular reactions @xmath0 are analyzed within the framework of the boltzmann equation in "}
{"subject": "math:arxiv_180625", "predicate": "proves", "object": "in this paper , the basic quantum field equations of free particle with 0-spin , 1-spin ( for cases "}
{"subject": "math:arxiv_180629", "predicate": "proves", "object": "we show how to transform a dirac equation in curved spacetime into a dirac equation in flat spacetim"}
{"subject": "math:arxiv_180638", "predicate": "proves", "object": "in this letter we present a general classification of integrable models of identical classical spins"}
{"subject": "math:arxiv_180640", "predicate": "proves", "object": "we show that a null  homologous transverse knot @xmath0 in the complement of an overtwisted disk in "}
{"subject": "math:arxiv_180647", "predicate": "proves", "object": "we present the @xmath0-stirling s formula using the @xmath0-product determined by tsallis entropy as"}
{"subject": "math:arxiv_180652", "predicate": "proves", "object": "we show a simple , analytic equation describing a class of two - dimensional shapes well suited for "}
{"subject": "math:arxiv_180653", "predicate": "proves", "object": "we study waves in a chain of dispersively coupled phase oscillators . \n two approaches  a quasi - co"}
{"subject": "math:arxiv_180658", "predicate": "proves", "object": "i study a model for a massive one - dimensional particle in a singular periodic potential that is re"}
{"subject": "math:arxiv_180681", "predicate": "proves", "object": "a fully implicit finite difference scheme has been developed to solve the hydrodynamic equations cou"}
{"subject": "math:arxiv_180682", "predicate": "proves", "object": "in this paper , we introduce some known map projections from a model of the earth to a flat sheet of"}
{"subject": "math:arxiv_180683", "predicate": "proves", "object": "the theory of solute transfer and deposit growth in evaporating sessile drops on a plane substrate i"}
{"subject": "math:arxiv_180715", "predicate": "proves", "object": "we compute the energy levels of a 2d hydrogen atom when a constant magnetic field is applied . with "}
{"subject": "math:arxiv_180716", "predicate": "proves", "object": "we present a first order system least squares ( fosls ) method for the helmholtz equation at high wa"}
{"subject": "math:arxiv_180721", "predicate": "proves", "object": "security proof of practical quantum key distribution ( qkd ) has attracted a lot of attentions in re"}
{"subject": "math:arxiv_180722", "predicate": "proves", "object": "we use the nambu - jona - lasinio model as an effective quark theory to investigate the medium modif"}
{"subject": "math:arxiv_180725", "predicate": "proves", "object": "we use the  generalized hierarchical equation of motion \" proposed in paper i to study decoherence i"}
{"subject": "math:arxiv_180729", "predicate": "proves", "object": "bosonic string theory with the possibility for an arbitrary number of strings - i.e. a string field "}
{"subject": "math:arxiv_180734", "predicate": "proves", "object": "the excitation spectrum of a two - component bose - einstein condensate has been discussed by ref @x"}
{"subject": "math:arxiv_180763", "predicate": "proves", "object": "shear viscosity @xmath0 of qcd in the hadronic phase is computed by the coupled boltzmann equations "}
{"subject": "math:arxiv_180765", "predicate": "proves", "object": "the transport properties between ferromagnets and high-@xmath0 superconductors were investigated in "}
{"subject": "math:arxiv_180773", "predicate": "proves", "object": "we solve numerically the equations of motion for the collapse of a shell of baryonic matter , made o"}
{"subject": "math:arxiv_180778", "predicate": "proves", "object": "in this work we present an exact solution of the einstein - maxwell field equations describing compa"}
{"subject": "math:arxiv_180789", "predicate": "proves", "object": "we construct the covariant or model independent induced einstein - yang - mills field equations on a"}
{"subject": "math:arxiv_180792", "predicate": "proves", "object": "maxwell s equations can be solved numerically in space manifold and the time by discrete exterior ca"}
{"subject": "math:arxiv_180825", "predicate": "proves", "object": "let @xmath0 be a compact oriented pl manifold and let @xmath1 be its pl chain complex . \n the domain"}
{"subject": "math:arxiv_180832", "predicate": "proves", "object": "within a self - consistent framework of @xmath0-deformed heisenberg algebra and its equivalent frame"}
{"subject": "math:arxiv_180833", "predicate": "proves", "object": "using the landau - lifshitz - bloch ( llb ) equation for ferromagnetic materials , we derive analyti"}
{"subject": "math:arxiv_180834", "predicate": "proves", "object": "the spinless salpeter equation supplemented by an instanton induced force is used to describe the sp"}
{"subject": "math:arxiv_180840", "predicate": "proves", "object": "the coefficients of different mass formulae derived from the liquid drop model and including or not "}
{"subject": "math:arxiv_180852", "predicate": "proves", "object": "a perceptual arrow of time is demonstrated through the derivation of equations governing the acquisi"}
{"subject": "math:arxiv_180875", "predicate": "proves", "object": "a fast and stable numerical method is formulated to compute the time evolution of a wave function in"}
{"subject": "math:arxiv_180892", "predicate": "proves", "object": "it is shown that the spin is naturally introduced into classical mechanics if the latter is formulat"}
{"subject": "math:arxiv_180896", "predicate": "proves", "object": "this paper investigates the computational geometry relevant to calculations of the frchet mean and v"}
{"subject": "math:arxiv_180917", "predicate": "proves", "object": "the space - time development of a quark - gluon plasma is calculated from a vlasov equation for the "}
{"subject": "math:arxiv_180922", "predicate": "proves", "object": "the paper is a summary of the results of the authors concerning computations of symplectic invariant"}
{"subject": "math:arxiv_180964", "predicate": "proves", "object": "building on the radon transform of the vlasov - poisson equations , a macroscopic fluid model for th"}
{"subject": "math:arxiv_180979", "predicate": "proves", "object": "the main goal of this paper is to derive an alternative characterization of the multisymplectic form"}
{"subject": "math:arxiv_180989", "predicate": "proves", "object": "calculations using the ( exact ) fermionic functional renormalization group are usually truncated at"}
{"subject": "math:arxiv_180994", "predicate": "proves", "object": "in this paper the maximum likelihood equations for the parameters of the weight lindley distribution"}
{"subject": "math:arxiv_181005", "predicate": "proves", "object": "tunneling through two vertically coupled quantum dots is studied by means of a pauli master equation"}
{"subject": "math:arxiv_181016", "predicate": "proves", "object": "we investigate possible effects of quantum power - law statistical mechanics on the relativistic nuc"}
{"subject": "math:arxiv_181018", "predicate": "proves", "object": "this paper is a follow - up to a previous paper on fermions @xcite . \n a simple state sum model for "}
{"subject": "math:arxiv_181020", "predicate": "proves", "object": "the observation of @xmath0 solar - mass neutron - like star gives constraint on the equation of stat"}
{"subject": "math:arxiv_181029", "predicate": "proves", "object": "we present a field - theoretical method to obtain consistently the equations of motion for small amp"}
{"subject": "math:arxiv_181037", "predicate": "proves", "object": "the disk complex of a surface in a 3-manifold is used to define its _ \n topological index_. surfaces"}
{"subject": "math:arxiv_181049", "predicate": "proves", "object": "we consider singular perturbation elliptic problems depending on a parameter @xmath0 such that , for"}
{"subject": "math:arxiv_181066", "predicate": "proves", "object": "this article is part of a collection that strives to collect and provide in an unified form data abo"}
{"subject": "math:arxiv_181093", "predicate": "proves", "object": "we give a short review of hydrodynamic models at heavy ion collisions from the point of view of init"}
{"subject": "math:arxiv_181128", "predicate": "proves", "object": "we review the kohno  drinfeld theorem and a conjectural analogue relating quantum weyl groups to the"}
{"subject": "math:arxiv_181132", "predicate": "proves", "object": "it was conjectured by m^c^kernan and shokurov that for all mori contractions from @xmath0 to @xmath1"}
{"subject": "math:arxiv_181148", "predicate": "proves", "object": "analytical analysis of spatially extended autocatalytic and hypercyclic systems is presented . \n it "}
{"subject": "math:arxiv_181156", "predicate": "proves", "object": "an approximate form for the vacuum averaged stress - energy tensor of a conformal spin-2 quantum fie"}
{"subject": "math:arxiv_181171", "predicate": "proves", "object": "we present a complete systematics ( excitation function , impact parameter , system size , isospin a"}
{"subject": "math:arxiv_181188", "predicate": "proves", "object": "we theoretically study the magnetoresistance of a cpp - gmr system with current confined paths ( ccp"}
{"subject": "math:arxiv_181195", "predicate": "proves", "object": "we give a combinatorial characterization of generic minimal rigidity for _ planar periodic framework"}
{"subject": "math:arxiv_181201", "predicate": "proves", "object": "a computer code is presented for solving the equations of hartree - fock - bogoliubov ( hfb ) theory"}
{"subject": "math:arxiv_181205", "predicate": "proves", "object": "armin straub s beautiful article ( https://arxiv.org/abs/1601.07161 ) concludes with two intriguing "}
{"subject": "math:arxiv_181213", "predicate": "proves", "object": "the coupled dynamics of the scissors mode and the isovector giant quadrupole resonance are studied u"}
{"subject": "math:arxiv_181228", "predicate": "proves", "object": "given a transverse link in @xmath0 , we study the contact manifold that arises as a branched double "}
{"subject": "math:arxiv_181248", "predicate": "proves", "object": "we introduce stable equivalence classes of oriented links in orientable three - manifolds that are o"}
{"subject": "math:arxiv_181249", "predicate": "proves", "object": "khovanov homology for knots has generated a flurry of activity in the topology community . \n this pa"}
{"subject": "math:arxiv_181293", "predicate": "proves", "object": "a standard convexity condition on the boundary of a symplectic manifold involves an induced positive"}
{"subject": "math:arxiv_181314", "predicate": "proves", "object": "we present a class of exact vacuum solutions corresponding to de sitter and warm inflation models in"}
{"subject": "math:arxiv_181319", "predicate": "proves", "object": "by solving the kinetic spin bloch equations , we study the time evolution of the transient spin grat"}
{"subject": "math:arxiv_181325", "predicate": "proves", "object": "we derive a set of equations monitoring the evolution of covariant and gauge - invariant linear scal"}
{"subject": "math:arxiv_181332", "predicate": "proves", "object": "we consider a lattice equation ( salerno model ) combining onsite self - focusing and intersite self"}
{"subject": "math:arxiv_181334", "predicate": "proves", "object": "we report here the analytical formula for the time - resolved dynamical franz - keldysh effect ( tr "}
{"subject": "math:arxiv_181361", "predicate": "proves", "object": "a phenomenological two - fluid model of the ( time - reversible ) spectrally - truncated @xmath0 eul"}
{"subject": "math:arxiv_181389", "predicate": "proves", "object": "this survey gives an overview of several fundamental algebraic constructions which arise in the stud"}
{"subject": "math:arxiv_181390", "predicate": "proves", "object": "we numerically investigated the sequences of initial data of thin spindle and thin ring in five - di"}
{"subject": "math:arxiv_181398", "predicate": "proves", "object": "as observed by auderset et al . \n ( 2005 ) and wiesel ( 2012 ) , viewing covariance matrices as elem"}
{"subject": "math:arxiv_181402", "predicate": "proves", "object": "quantum scattering by a one - dimensional odd potential proportional to the square of the distance t"}
{"subject": "math:arxiv_181403", "predicate": "proves", "object": "we calculate several neutron star properties , for static and/or rotating stars , using equations of"}
{"subject": "math:arxiv_181415", "predicate": "proves", "object": "this paper concerns the motion of a relativistic string in a curved space - time . as a general fram"}
{"subject": "math:arxiv_181425", "predicate": "proves", "object": "we consider a class of super - conformal @xmath0-deformed @xmath1 gauge theories dual to string theo"}
{"subject": "math:arxiv_181462", "predicate": "proves", "object": "in this article , we investigate the error bound of quantum discord , obtained by the analytic formu"}
{"subject": "math:arxiv_181465", "predicate": "proves", "object": "we formulate a finite - difference time - domain ( fdtd ) approach to simulate electromagnetic wave "}
{"subject": "math:arxiv_181481", "predicate": "proves", "object": "based on the numerical solution of the time - dependent relativistic euler equations onto a fixed sc"}
{"subject": "math:arxiv_181489", "predicate": "proves", "object": "a distance - squared function is one of the most significant functions in the application of singula"}
{"subject": "math:arxiv_181502", "predicate": "proves", "object": "in this paper , we present a new pseudo - spectral method to solve the initial value problem associa"}
{"subject": "math:arxiv_181505", "predicate": "proves", "object": "recently , a theoretical framework aimed at separating the roles of dynamics and topology in multi -"}
{"subject": "math:arxiv_181510", "predicate": "proves", "object": "we introduce a new concept of finite - time entropy which is a local version of the classical concep"}
{"subject": "math:arxiv_181525", "predicate": "proves", "object": "we investigate a possibility of reheating in a scenario of d - brane inflation in a warped deformed "}
{"subject": "math:arxiv_181546", "predicate": "proves", "object": "this paper is concerned with finite element approximations of @xmath0 strong solutions of second - o"}
{"subject": "math:arxiv_181547", "predicate": "proves", "object": "we show that every complete intersection defined by laurent polynomials in an algebraic torus is iso"}
{"subject": "math:arxiv_181550", "predicate": "proves", "object": "a crucial element of scattering theory and the lsz reduction formula is the assumption that the coup"}
{"subject": "math:arxiv_181567", "predicate": "proves", "object": "in this paper the failure of hardy s nonlocality proof for the class of maximally entangled states i"}
{"subject": "math:arxiv_181578", "predicate": "proves", "object": "we formulate a criterion for the existence and uniqueness of an invariant measure for a markov proce"}
{"subject": "math:arxiv_181587", "predicate": "proves", "object": "we propose a stochastic method for solving schwinger - dyson equations in large-@xmath0 quantum fiel"}
{"subject": "math:arxiv_181598", "predicate": "proves", "object": "we consider time - dependent gaussian wave packet solutions of the schrdinger equation ( with arbitr"}
{"subject": "math:arxiv_181605", "predicate": "proves", "object": "the bulk states of some materials , such as topological insulators , are described by a modified dir"}
{"subject": "math:arxiv_181606", "predicate": "proves", "object": "in a recent work , dancs and he found an euler - type formula for @xmath0 , @xmath1 being a positive"}
{"subject": "math:arxiv_181610", "predicate": "proves", "object": "we present a numerical method for computing optimal transition pathways and transition rates in syst"}
{"subject": "math:arxiv_181612", "predicate": "proves", "object": "indirect reciprocity in which players cooperate with unacquainted other players having good reputati"}
{"subject": "math:arxiv_181616", "predicate": "proves", "object": "the finite element method ( fem ) is applied to obtain numerical solutions to a recently derived non"}
{"subject": "math:arxiv_181632", "predicate": "proves", "object": "we study the general theorem about gravitational lensing which states the relationship between the n"}
{"subject": "math:arxiv_181650", "predicate": "proves", "object": "a computational problem exhibits a  gap property \" when there is no tractable boundary between two d"}
{"subject": "math:arxiv_181661", "predicate": "proves", "object": "chemical reactions modeled by ordinary differential equations are finite - dimensional dissipative d"}
{"subject": "math:arxiv_181674", "predicate": "proves", "object": "we apply the perturbative qcd factorization theorem developed recently for nonleptonic heavy meson d"}
{"subject": "math:arxiv_181675", "predicate": "proves", "object": "dynamically exact calculations of a quasi - bound state in the @xmath0 three - body system are perfo"}
{"subject": "math:arxiv_181698", "predicate": "proves", "object": "we study the noise effects in a driven system of globally coupled oscillators , with particular atte"}
{"subject": "math:arxiv_181723", "predicate": "proves", "object": "the relativistic faddeev equation for three - nucleon scattering is formulated in momentum space and"}
{"subject": "math:arxiv_181735", "predicate": "proves", "object": "we prove a decomposition theorem for the class of triangle - free graphs that do not contain a subdi"}
{"subject": "math:arxiv_181737", "predicate": "proves", "object": "the time - dependent form of tappert s range refraction parabolic equation is derived and proposed a"}
{"subject": "math:arxiv_181758", "predicate": "proves", "object": "we propose a new linear algebraic approach to the computation of tarskian semantics in logic . \n we "}
{"subject": "math:arxiv_181785", "predicate": "proves", "object": "few - nucleon correlations in nuclear matter at finite densities and temperatures are explored . \n u"}
{"subject": "math:arxiv_181789", "predicate": "proves", "object": "we present an experimentally realizable , simple mechanical system with linear interactions whose ge"}
{"subject": "math:arxiv_181795", "predicate": "proves", "object": "we study a standard linear readout model of perceptual integration from a population of sensory neur"}
{"subject": "math:arxiv_181797", "predicate": "proves", "object": "we establish a mermin  wagner type theorem for gibbs states on infinite random lorentzian triangulat"}
{"subject": "math:arxiv_181801", "predicate": "proves", "object": "we give a simple proof that the straightforward generalisation of clique - width to arbitrary struct"}
{"subject": "math:arxiv_181816", "predicate": "proves", "object": "diluted mean - field models are graphical models in which the geometry of interactions is determined"}
{"subject": "math:arxiv_181822", "predicate": "proves", "object": "ulrich berger presented a powerful proof of strong normalisation using domains , in particular it si"}
{"subject": "math:arxiv_181825", "predicate": "proves", "object": "a simplified thermodynamic approach of the incompressible 2d euler equation is considered based on t"}
{"subject": "math:arxiv_181827", "predicate": "proves", "object": "starting from the boltzmann equation in the relaxation time approximation and employing a chapman - "}
{"subject": "math:arxiv_181836", "predicate": "proves", "object": "we construct darboux transformation of a coupled generalized nonlinear schrdinger ( cgnls ) equation"}
{"subject": "math:arxiv_181845", "predicate": "proves", "object": "a geometric approach to the equation found by hietarinta and viallet , which satisfies the singulari"}
{"subject": "math:arxiv_181856", "predicate": "proves", "object": "the three key documents for study geometry are : 1 ) `` the elements '' of euclid , 2 ) the lecture "}
{"subject": "math:arxiv_181860", "predicate": "proves", "object": "we study an inverse problem for a non - compact riemannian manifold whose ends have the following pr"}
{"subject": "math:arxiv_181868", "predicate": "proves", "object": "we consider families of multiple and simple integrals of the `` ising class '' and the linear ordina"}
{"subject": "math:arxiv_181881", "predicate": "proves", "object": "in this paper , we introduce a fictitious dynamics for describing the only fast relaxation of a stif"}
{"subject": "math:arxiv_181889", "predicate": "proves", "object": "we examine the parametrization of the qcd coupling in the bethe - salpeter equations for the hard an"}
{"subject": "math:arxiv_181909", "predicate": "proves", "object": "two variants of the mcv3 scheme are presented based on a flux reconstruction formulation . \n differe"}
{"subject": "math:arxiv_181918", "predicate": "proves", "object": "we present the first 3-dimensional , fully compressible gas - dynamics simulations in @xmath0 geomet"}
{"subject": "math:arxiv_181925", "predicate": "proves", "object": "the fundamental solution of the schrdinger equation for a free particle is a distribution . \n this d"}
{"subject": "math:arxiv_181938", "predicate": "proves", "object": "we study numerically the decay of the inflaton by solving the full non - linear equations of motion "}
{"subject": "math:arxiv_181945", "predicate": "proves", "object": "a parameter estimation problem is considered for a stochastic parabolic equation with multiplicative"}
{"subject": "math:arxiv_181953", "predicate": "proves", "object": "we present time - dependent analytic solutions to the einstein equations coupled with a dilaton ( sc"}
{"subject": "math:arxiv_181958", "predicate": "proves", "object": "the rapidity - even dipolar flow @xmath0 associated with dipole asymmetry in the initial geometry is"}
{"subject": "math:arxiv_181961", "predicate": "proves", "object": "we characterize the syzygies and co - syzygies over 2-calabi - yau tilted algebras in terms of the a"}
{"subject": "math:arxiv_181964", "predicate": "proves", "object": "we study the problem of approximation of solutions of the skorokhod problem and reflecting stochasti"}
{"subject": "math:arxiv_181980", "predicate": "proves", "object": "coherent oscillations of a scalar field can mimic the behavior of a perfect fluid with an equation -"}
{"subject": "math:arxiv_181987", "predicate": "proves", "object": "the finite - frequency dynamics of the @xmath0he superfluid phase transition can be formulated in te"}
{"subject": "math:arxiv_181995", "predicate": "proves", "object": "we discuss hybrid atomistic - continuum methods for multiscale hydrodynamic applications . both dens"}
{"subject": "math:arxiv_182004", "predicate": "proves", "object": "the conditions for a cuspidal edge , swallowtail and other fundamental singularities are given in th"}
{"subject": "math:arxiv_182006", "predicate": "proves", "object": "the connected components of the zero set of any conformal vector field , in a pseudo - riemannian ma"}
{"subject": "math:arxiv_182008", "predicate": "proves", "object": "an optimal control problem for the continuity equation is considered . \n the aim of a `` controller "}
{"subject": "math:arxiv_182009", "predicate": "proves", "object": "in this article we consider several forms of expansivity . we introduce two new definitions related "}
{"subject": "math:arxiv_182026", "predicate": "proves", "object": "this paper stands for an application of the noncommutative ( nc ) noether theorem , given in our pre"}
{"subject": "math:arxiv_182027", "predicate": "proves", "object": "low  energy cosmic rays ( crs ) are confined by self  generated mhd waves in the mostly neutral ism "}
{"subject": "math:arxiv_182033", "predicate": "proves", "object": "we address the general classification problem of all stable associative product structures in the co"}
{"subject": "math:arxiv_182037", "predicate": "proves", "object": "we survey the ( old and new ) regularity theory for the monge - ampre equation , show its connection"}
{"subject": "math:arxiv_182043", "predicate": "proves", "object": "we consider in this paper the muskat problem in a periodic geometry and incorporate capillary as wel"}
{"subject": "math:arxiv_182044", "predicate": "proves", "object": "in this paper we set up a rigorous justification for the reinitialization algorithm . \n using the th"}
{"subject": "math:arxiv_182051", "predicate": "proves", "object": "we give a new proof of the cobham s first theorem using ideas from symbolic dynamics and of the cobh"}
{"subject": "math:arxiv_182064", "predicate": "proves", "object": "in the context of both inclusive and diffractive deep inelastic scattering , we derive the first phe"}
{"subject": "math:arxiv_182076", "predicate": "proves", "object": "the adjoint equation was introduced in the early days of neutron transport and its solution , the ne"}
{"subject": "math:arxiv_182103", "predicate": "proves", "object": "we provide a complete classification of solvable instances of the equational unification problem ove"}
{"subject": "math:arxiv_182128", "predicate": "proves", "object": "we study slow - roll inflation with the gauss - bonnet and chern - simons corrections . \n we obtain "}
{"subject": "math:arxiv_182153", "predicate": "proves", "object": "we derive the free @xmath0 singleton action by sending the @xmath1 brane to the minkowski boundary o"}
{"subject": "math:arxiv_182190", "predicate": "proves", "object": "we found double - extreme black holes associated with the special geometry of the calabi - yau modul"}
{"subject": "math:arxiv_182193", "predicate": "proves", "object": "scattering theory has had a major roll in twentieth century mathematical physics . mathematical mode"}
{"subject": "math:arxiv_182215", "predicate": "proves", "object": "we consider particle acceleration by large - scale incompressible turbulence with a lengthscale larg"}
{"subject": "math:arxiv_182228", "predicate": "proves", "object": "genus 2 mutation is the process of cutting a 3-manifold along an embedded closed genus 2 surface , t"}
{"subject": "math:arxiv_182233", "predicate": "proves", "object": "we study lowest - weight irreducible representations of rational cherednik algebras attached to the "}
{"subject": "math:arxiv_182241", "predicate": "proves", "object": "we give new bounds and asymptotic estimates on the number of standard young tableaux of skew shape i"}
{"subject": "math:arxiv_182276", "predicate": "proves", "object": "we propose an approach to statistical systems on lattices with sphere - like topology . focusing on "}
{"subject": "math:arxiv_182292", "predicate": "proves", "object": "a generalized fokker - planck equation is derived to describe particle kinetics in specific situatio"}
{"subject": "math:arxiv_182301", "predicate": "proves", "object": "we study the thermodynamics of clean , layered superconductor / ferromagnet nanostructures using ful"}
{"subject": "math:arxiv_182310", "predicate": "proves", "object": "motivated by a recent study casting doubt on the correspondence between regge calculus and general r"}
{"subject": "math:arxiv_182312", "predicate": "proves", "object": "the complex eikonal equation in @xmath0 dimensions is investigated . \n it is shown that this equatio"}
{"subject": "math:arxiv_182324", "predicate": "proves", "object": "using variational and numerical solutions of the mean - field gross - pitaevskii equation we show th"}
{"subject": "math:arxiv_182327", "predicate": "proves", "object": "a topology preserving skeleton is a synthetic representation of an object that retains its topology "}
{"subject": "math:arxiv_182337", "predicate": "proves", "object": "the lindblad equation is a natural generalization to open systems of the schrdinger equation . \n we "}
{"subject": "math:arxiv_182338", "predicate": "proves", "object": "we generalize some identities and @xmath0-identities previously known for the symmetric group to cox"}
{"subject": "math:arxiv_182341", "predicate": "proves", "object": "the nonadiabatic transition probabilities in the two - level systems are calculated analytically by "}
{"subject": "math:arxiv_182356", "predicate": "proves", "object": "we construct and study a family of toric degenerations of the algebra of conformal blocks for a stab"}
{"subject": "math:arxiv_182366", "predicate": "proves", "object": "the orientational dynamics of weakly inertial axisymmetric particles in a steady flow is investigate"}
{"subject": "math:arxiv_182367", "predicate": "proves", "object": "we investigate the real - time dynamics of open quantum spin-@xmath0 or hardcore boson systems on a "}
{"subject": "math:arxiv_182399", "predicate": "proves", "object": "we consider the twin paradox of special relativity in a universe with a compact spatial dimension . "}
{"subject": "math:arxiv_182401", "predicate": "proves", "object": "we study the dimension-6 quark anomalous electroweak couplings in the formulation of linearly realiz"}
{"subject": "math:arxiv_182427", "predicate": "proves", "object": "a finite volume scheme for the ( patlak- ) keller - segel model in two space dimensions with an addi"}
{"subject": "math:arxiv_182449", "predicate": "proves", "object": "the character formulas of @xcite are an early triumph in @xmath0-adic harmonic analysis , but , to d"}
{"subject": "math:arxiv_182483", "predicate": "proves", "object": "the several algebraic approaches to graph transformation proposed in the literature all ensure that "}
{"subject": "math:arxiv_182501", "predicate": "proves", "object": "quantum polarization is investigated by means of a trajectory picture based on the bohmian formulati"}
{"subject": "math:arxiv_182507", "predicate": "proves", "object": "we investigate the role of discrete - particle noise in interface - controlled ostwald ripening . \n "}
{"subject": "math:arxiv_182535", "predicate": "proves", "object": "we study tilting for the heart @xmath0 of the canonical t - structure of the finite - dimensional de"}
{"subject": "math:arxiv_182542", "predicate": "proves", "object": "partially rectangular domains are compact two - dimensional riemannian manifolds @xmath0 , either cl"}
{"subject": "math:arxiv_182564", "predicate": "proves", "object": "slow - fast dynamical systems have two time scales and an explicit parameter representing the ratio "}
{"subject": "math:arxiv_182575", "predicate": "proves", "object": "in this paper we construct a parametrix for the high - energy asymptotics of the analytic continuati"}
{"subject": "math:arxiv_182590", "predicate": "proves", "object": "in this letter , by using the bifurcation method of planar dynamical systems , we obtain the analyti"}
{"subject": "math:arxiv_182598", "predicate": "proves", "object": "in this paper , we derive key - rate expressions for several different quantum key distribution prot"}
{"subject": "math:arxiv_182607", "predicate": "proves", "object": "an oriented compact 4-manifold @xmath0 with boundary @xmath1 is called a positon ( resp . \n negaton "}
{"subject": "math:arxiv_182622", "predicate": "proves", "object": "for relativistic particles with spin 1/2 , which are described by the dirac equation , a semiclassic"}
{"subject": "math:arxiv_182640", "predicate": "proves", "object": "using a few basics from integration theory , a short proof of nowhere - differentiability of weierst"}
{"subject": "math:arxiv_182661", "predicate": "proves", "object": "for a lie groupoid there is an analytic index morphism which takes values in the @xmath0theory of th"}
{"subject": "math:arxiv_182669", "predicate": "proves", "object": "we discuss @xmath0 integrability estimates for the solution  @xmath1 of the advection - diffusion eq"}
{"subject": "math:arxiv_182670", "predicate": "proves", "object": "various scaling relations of the entanglement entropy are reviewed . \n based on the scaling , i woul"}
{"subject": "math:arxiv_182673", "predicate": "proves", "object": "the dynamics of linear perturbations is studied in magnetized plasma shear flows with a constant she"}
{"subject": "math:arxiv_182694", "predicate": "proves", "object": "an exotic dark component , named generalized chaplygin gas ( cg ) and parameterized by an equation o"}
{"subject": "math:arxiv_182697", "predicate": "proves", "object": "in this document we study some local deformation properties of matrix representations of the univers"}
{"subject": "math:arxiv_182698", "predicate": "proves", "object": "we present a generalized rate equation model for the array and polarization dynamics of general one "}
{"subject": "math:arxiv_182737", "predicate": "proves", "object": "two discrete path integral formulations for the ground state of a spin- pinned quantum anisotropic x"}
{"subject": "math:arxiv_182748", "predicate": "proves", "object": "* abstract  :* the paper describes a formulation of discrete scalar wave propagation in an inhomogen"}
{"subject": "math:arxiv_182759", "predicate": "proves", "object": "the darboux  dressing transformations developed in @xcite are here applied to construct soliton solu"}
{"subject": "math:arxiv_182773", "predicate": "proves", "object": "the paper proposes a second - order accurate direct eulerian generalized riemann problem ( grp ) sch"}
{"subject": "math:arxiv_182781", "predicate": "proves", "object": "the schwinger - dyson equation for a scalar propagator is solved in minkowski space with the help of"}
{"subject": "math:arxiv_182792", "predicate": "proves", "object": "we integrate the mhd ideal equations to simulate dark void sunwardly moving structures in post \n fla"}
{"subject": "math:arxiv_182800", "predicate": "proves", "object": "in this work we report a numerical study of the cosmic magnetic field amplification due to collision"}
{"subject": "math:arxiv_182817", "predicate": "proves", "object": "the possibility of formation of a droplet phase ( dp ) inside a star and its consequences on the str"}
{"subject": "math:arxiv_182820", "predicate": "proves", "object": "we examine the different possible symmetries of the superconducting gap obtained by solving the elia"}
{"subject": "math:arxiv_182822", "predicate": "proves", "object": "* abstract : * this paper discusses several new exact solutions of static wormholes in @xmath0 gravi"}
{"subject": "math:arxiv_182835", "predicate": "proves", "object": "the fluid - structure interaction is studied for a system composed of two coaxial pipes in an annula"}
{"subject": "math:arxiv_182841", "predicate": "proves", "object": "we have succeeded in obtaining _ \n exact _ configurations of irrotational binary systems for compres"}
{"subject": "math:arxiv_182849", "predicate": "proves", "object": "a complete , rigorous relativistic field - theory formulation of the nucleon - nucleon ( @xmath0 ) b"}
{"subject": "math:arxiv_182869", "predicate": "proves", "object": "we present analytically the exact energy bound - states solutions of the schrdinger equation in @xma"}
{"subject": "math:arxiv_182881", "predicate": "proves", "object": "some iterative techniques are defined to solve reversible inverse problems and a common formulation "}
{"subject": "math:arxiv_182896", "predicate": "proves", "object": "we develop the shape derivative analysis of solutions to the problem of scattering of time - harmoni"}
{"subject": "math:arxiv_182898", "predicate": "proves", "object": "the bethe - salpeter equation in unitarized chiral perturbation theory is usually solved with the so"}
{"subject": "math:arxiv_182917", "predicate": "proves", "object": "physical constraints such as positivity endow the set of quantum states with a rich geometry if the "}
{"subject": "math:arxiv_182932", "predicate": "proves", "object": "the problem of construction of a continuous ( macroscopic ) matter model for a given point - like ( "}
{"subject": "math:arxiv_182951", "predicate": "proves", "object": "we study the nonhomogeneous boundary value problem for the navier  stokes equations of steady motion"}
{"subject": "math:arxiv_182955", "predicate": "proves", "object": "noncommutative geometry , an offshoot of string theory , replaces point - like structures with smear"}
{"subject": "math:arxiv_182959", "predicate": "proves", "object": "in this work we consider the method of non - linear boundary integral equation for solving numerical"}
{"subject": "math:arxiv_182970", "predicate": "proves", "object": "in this contribution i review rigorous formulations of a variety of limitations of measurability in "}
{"subject": "math:arxiv_182976", "predicate": "proves", "object": "we propose a computer - assisted approach to studying the effective continuum behavior of spatially "}
{"subject": "math:arxiv_182992", "predicate": "proves", "object": "for a 4dimensional spatially - flat friedmann - robertson - walker universe with a scalar field @xma"}
{"subject": "math:arxiv_183000", "predicate": "proves", "object": "we calculate the two - loop vertex function for the crossed topology , and for arbitrary masses and "}
{"subject": "math:arxiv_183002", "predicate": "proves", "object": "we examine the sensitivity and surface bias of convolved dglv radiative and elastic loss in a realis"}
{"subject": "math:arxiv_183037", "predicate": "proves", "object": "this paper deals with the dissipative dynamics of a quantum harmonic oscillator interacting with a b"}
{"subject": "math:arxiv_183043", "predicate": "proves", "object": "small perturbations of the jacobi matrix with weights @xmath0 and zero diagonal are considered . a f"}
{"subject": "math:arxiv_183044", "predicate": "proves", "object": "using methods from coarse topology we show that fundamental classes of closed enlargeable manifolds "}
{"subject": "math:arxiv_183050", "predicate": "proves", "object": "we study the algebraic structure of the outer automorphism group of a general right - angled artin g"}
{"subject": "math:arxiv_183053", "predicate": "proves", "object": "in this paper we are concerned with convergence of solutions of the poisson equation with neumann bo"}
{"subject": "math:arxiv_183087", "predicate": "proves", "object": "we present the classical solutions to the einstein field equations derived using the wkb - like and "}
{"subject": "math:arxiv_183102", "predicate": "proves", "object": "we study excitonic condensation in an electron - hole bilayer system with unequal layer densities at"}
{"subject": "math:arxiv_183108", "predicate": "proves", "object": "the important studies of peebles , and bond and efstathiou have led to the formula @xmath0 $ ] aimed"}
{"subject": "math:arxiv_183109", "predicate": "proves", "object": "the zero to four loop contribution to the cross section @xmath0 for @xmath1 hadrons , when combined "}
{"subject": "math:arxiv_183114", "predicate": "proves", "object": "in this paper , we introduce the method of adding additional factors and a parameter to multiple zet"}
{"subject": "math:arxiv_183124", "predicate": "proves", "object": "we present results on stabilization for reduced order models ( rom ) of partial differential equatio"}
{"subject": "math:arxiv_183141", "predicate": "proves", "object": "we present a new formulation of the multipolar expansion of an exact boundary condition for the wave"}
{"subject": "math:arxiv_183147", "predicate": "proves", "object": "it was shown by weyl that the general static axisymmetric solution of the vacuum einstein equations "}
{"subject": "math:arxiv_183161", "predicate": "proves", "object": "we review explicit solutions to the stationary axisymmetric einstein - maxwell equations which can b"}
{"subject": "math:arxiv_183178", "predicate": "proves", "object": "we propose a general approach to the description of spectra of complex networks . \n for the spectra "}
{"subject": "math:arxiv_183195", "predicate": "proves", "object": "gravitational perturbations of the de sitter spacetime are investigated using the regge \n wheeler fo"}
{"subject": "math:arxiv_183204", "predicate": "proves", "object": "consider an algebraic torus of small dimension acting on an open subset of @xmath0 , or more general"}
{"subject": "math:arxiv_183205", "predicate": "proves", "object": "we present an extension of the krmn - howarth theorem to the lagrangian averaged magnetohydrodynamic"}
{"subject": "math:arxiv_183234", "predicate": "proves", "object": "this talk discusses the effective field theory view of deep inelastic scattering . in such an approa"}
{"subject": "math:arxiv_183241", "predicate": "proves", "object": "we re - analyze charged lepton corrections to neutrino mixing angles and cp phases , carefully inclu"}
{"subject": "math:arxiv_183252", "predicate": "proves", "object": "an explicit construction of all finite - dimensional irreducible representations of the lie superalg"}
{"subject": "math:arxiv_183258", "predicate": "proves", "object": "for a semisimple factorizable hopf algebra over a field of characteristic zero , we show that the va"}
{"subject": "math:arxiv_183293", "predicate": "proves", "object": "we use pseudo quantum electrodynamics ( pqed ) in order to describe the full electromagnetic interac"}
{"subject": "math:arxiv_183294", "predicate": "proves", "object": "this paper defines and investigates nonsymmetric macdonald polynomials with values in an irreducible"}
{"subject": "math:arxiv_183311", "predicate": "proves", "object": "we formulate a new class of stochastic partial differential equations ( spdes ) , named _ high - ord"}
{"subject": "math:arxiv_183318", "predicate": "proves", "object": "we present exact analytic formulae for the eclipse of a star described by quadratic or nonlinear lim"}
{"subject": "math:arxiv_183325", "predicate": "proves", "object": "the kirschner - lipatov result for the dlla of high - energy @xmath0 backward scattering is re - der"}
{"subject": "math:arxiv_183340", "predicate": "proves", "object": "recent studies have shown that gamma - ray pulsar light curves are very sensitive to the geometry of"}
{"subject": "math:arxiv_183352", "predicate": "proves", "object": "we study magnetohydrodynamic ( mhd ) standing shocks in inflowing plasmas in a black hole magnetosph"}
{"subject": "math:arxiv_183355", "predicate": "proves", "object": "the algorithm given by akbulut and ozbagci constructs an explicit open book decomposition on a conta"}
{"subject": "math:arxiv_183365", "predicate": "proves", "object": "in this paper we develop a variational method for the loewner equation in higher dimensions . as a r"}
{"subject": "math:arxiv_183378", "predicate": "proves", "object": "the split of a generalised chaplygin gas with an equation of state @xmath0 into an interacting mixtu"}
{"subject": "math:arxiv_183389", "predicate": "proves", "object": "we introduce a numerical method to integrate the stochastic landau - lifshitz - gilbert equation in "}
{"subject": "math:arxiv_183393", "predicate": "proves", "object": "here we review a hybrid lattice boltzmann algorithm to solve the equations of motion of cholesteric "}
{"subject": "math:arxiv_183403", "predicate": "proves", "object": "we construct a coherent state of @xmath0-deformed zero coupled nucleon pairs distributed in several "}
{"subject": "math:arxiv_183415", "predicate": "proves", "object": "in this article we review recent generalisations of the central limit theorem for the sum of special"}
{"subject": "math:arxiv_183423", "predicate": "proves", "object": "the assumption that space - time is a noncommutative space formed as a product of a continuous four "}
{"subject": "math:arxiv_183433", "predicate": "proves", "object": "the general theme of this note is illustrated by the following theorem :    * theorem 1 . \n *  _ sup"}
{"subject": "math:arxiv_183453", "predicate": "proves", "object": "modal dependence logic ( @xmath0 ) was introduced recently by vnnen . \n it enhances the basic modal "}
{"subject": "math:arxiv_183461", "predicate": "proves", "object": "in this article , we present a landing theorem for periodic dynamic rays for transcendental entire m"}
{"subject": "math:arxiv_183474", "predicate": "proves", "object": "we study random knots and links in @xmath0 using the petaluma model , which is based on the petal pr"}
{"subject": "math:arxiv_183485", "predicate": "proves", "object": "we present a detailed study of the geometric and algebraic properties of the multidimensional quadri"}
{"subject": "math:arxiv_183496", "predicate": "proves", "object": "i discuss the problem of formulating the baryon chiral perturbation theory ( @xmath0pt ) in the pres"}
{"subject": "math:arxiv_183497", "predicate": "proves", "object": "we provide abelianizations of differentiable actions of finite groups on smooth real manifolds . de "}
{"subject": "math:arxiv_183513", "predicate": "proves", "object": "a new method of extracting diffractive parton distributions is presented which avoids the use of reg"}
{"subject": "math:arxiv_183540", "predicate": "proves", "object": "motivated by the high sensitivity to fermi surface topology and scattering mechanisms in magneto - t"}
{"subject": "math:arxiv_183549", "predicate": "proves", "object": "we prove a theorem about elliptic operators with symmetric potential functions , defined on a functi"}
{"subject": "math:arxiv_183570", "predicate": "proves", "object": "maxwell s equations are considered with transparent boundary conditions , for initial conditions and"}
{"subject": "math:arxiv_183582", "predicate": "proves", "object": "a simple ansatz is proposed for two - color @xmath0-matrix satisfying the tetrahedron equation . \n i"}
{"subject": "math:arxiv_183587", "predicate": "proves", "object": "we extend the theory of cellular automata to arbitrary , time - varying graphs . \n in other words we"}
{"subject": "math:arxiv_183588", "predicate": "proves", "object": "we study travelling - wave solutions for a reaction - diffusion system arising as a model for host -"}
{"subject": "math:arxiv_183602", "predicate": "proves", "object": "we study the dynamics of polynomials with coefficients in a non - archimedean field @xmath0 where @x"}
{"subject": "math:arxiv_183617", "predicate": "proves", "object": "from the hamiltonian connecting the inside and outside of an fabry - prot cavity , which is derived "}
{"subject": "math:arxiv_183637", "predicate": "proves", "object": "this study considers the problem of the extreme behavior exhibited by solutions to burgers equation "}
{"subject": "math:arxiv_183648", "predicate": "proves", "object": "we study the monoid generated by @xmath0 distance matrices under tropical ( or min - plus ) multipli"}
{"subject": "math:arxiv_183659", "predicate": "proves", "object": "in geometry and graph theory , the jordan curve theorem has both educational and academic roles . \n "}
{"subject": "math:arxiv_183681", "predicate": "proves", "object": "let @xmath0 be an oriented riemannian manifold of dimension at least @xmath1 and @xmath2 a vector fi"}
{"subject": "math:arxiv_183736", "predicate": "proves", "object": "it is well known that among all closed bounded curves in the plane with the given perimeter , the ci"}
{"subject": "math:arxiv_183738", "predicate": "proves", "object": "proof search has been used to specify a wide range of computation systems . in order to build a fram"}
{"subject": "math:arxiv_183742", "predicate": "proves", "object": "we propose a simple graphical approach to steady state solutions of the cable equation for a general"}
{"subject": "math:arxiv_183743", "predicate": "proves", "object": "we show that a saturable single - frequency elastic t - matrix approach to scattering of light by at"}
{"subject": "math:arxiv_183748", "predicate": "proves", "object": "the @xmath0-camassa - holm ( @xmath0ch ) equation is a nonlinear integrable partial differential equ"}
{"subject": "math:arxiv_183760", "predicate": "proves", "object": "we introduce an algebraic structure we call _ semiquandles _ whose axioms are derived from flat reid"}
{"subject": "math:arxiv_183763", "predicate": "proves", "object": "we conduct a brief survey on wolfram s classification , in particular related to the computing capab"}
{"subject": "math:arxiv_183774", "predicate": "proves", "object": "the inflaton condensate associated with a global symmetry can fragment into quasistable @xmath0 ball"}
{"subject": "math:arxiv_183790", "predicate": "proves", "object": "equation of state for chromium nitride has been debated in the literature in connection with a propo"}
{"subject": "math:arxiv_183800", "predicate": "proves", "object": "the study of the relation between lie algebras and groups , and especially the derivation of new alg"}
{"subject": "math:arxiv_183802", "predicate": "proves", "object": "we revisit several maximization problems for geometric networks design under the non - crossing cons"}
{"subject": "math:arxiv_183805", "predicate": "proves", "object": "we study the structure of bipartite unitary operators which generate via the stinespring dilation th"}
{"subject": "math:arxiv_183811", "predicate": "proves", "object": "in this article , the continuous time random walk on the circle is studied . \n we derive the corresp"}
{"subject": "math:arxiv_183826", "predicate": "proves", "object": "we formulate and investigate the simplest version of time - optimal quantum computation theory ( _ t"}
{"subject": "math:arxiv_183830", "predicate": "proves", "object": "one of the key features of small - worlds is the ability to route messages with few hops only using "}
{"subject": "math:arxiv_183833", "predicate": "proves", "object": "we have derived an analytical trace formula for the level density of the hnon - heiles potential usi"}
{"subject": "math:arxiv_183844", "predicate": "proves", "object": "an explicit formula for the @xmath0-polynomial of the knot with conway s notation @xmath1 is obtaine"}
{"subject": "math:arxiv_183859", "predicate": "proves", "object": "convective dynamo simulations are performed in local cartesian geometry . \n we report the first succ"}
{"subject": "math:arxiv_183860", "predicate": "proves", "object": "we solve numerically various types of the gap equations developed in the relativistic bcs and genera"}
{"subject": "math:arxiv_183899", "predicate": "proves", "object": "the cauchy problem is considered for the massive dirac equation in the non - extreme kerr - newman g"}
{"subject": "math:arxiv_183901", "predicate": "proves", "object": "the conventional semi - empirical formula for collapse distance [ phys . rev . \n 179 , 862 ( 1969 ) "}
{"subject": "math:arxiv_183936", "predicate": "proves", "object": "we discuss the elementary vortex pinning in type - ii superconductors in connection with the anderso"}
{"subject": "math:arxiv_183938", "predicate": "proves", "object": "we prove an integration by parts formula for the probability measure induced by the semi - classical"}
{"subject": "math:arxiv_183946", "predicate": "proves", "object": "in this paper , we study the superconvergence phenomenon in the free central limit theorem for ident"}
{"subject": "math:arxiv_183961", "predicate": "proves", "object": "we discuss the fate of initial states of the cat type for the damped harmonic oscillator , mostly em"}
{"subject": "math:arxiv_183973", "predicate": "proves", "object": "we classify generic systems of polynomial equations with a single solution , or , equivalently , col"}
{"subject": "math:arxiv_183974", "predicate": "proves", "object": "the concept of hyperbolic flux tubes ( hfts ) is a generalization of the concept of separator field "}
{"subject": "math:arxiv_183977", "predicate": "proves", "object": "using the notion of an elementary loop , gebser and schaub refined the theorem on loop formulas due "}
{"subject": "math:arxiv_183985", "predicate": "proves", "object": "the search for extraterrestrial intelligence ( seti ) has been heavily influenced by solutions to th"}
{"subject": "math:arxiv_184033", "predicate": "proves", "object": "in this note , we consider the landau gauge in the continuum formulation \n . our purposes are twofol"}
{"subject": "math:arxiv_184037", "predicate": "proves", "object": "albertson conjectured that if a graph @xmath0 has chromatic number @xmath1 then its crossing number "}
{"subject": "math:arxiv_184097", "predicate": "proves", "object": "bernstein \n von mises theorems for nonparametric bayes priors in the gaussian white noise model are "}
{"subject": "math:arxiv_184105", "predicate": "proves", "object": "recently , two kinds of hss - based iteration methods are constructed for coping with the absolute v"}
{"subject": "math:arxiv_184125", "predicate": "proves", "object": "in this paper we consider a semi - linear , energy - critical , shifted wave equation on the hyperbo"}
{"subject": "math:arxiv_184131", "predicate": "proves", "object": "the wheeler  dewitt  equation for a class of kantowski  sachs  like models is completely solved . \n "}
{"subject": "math:arxiv_184148", "predicate": "proves", "object": "cieliebak , mundet i riera and salamon recently formulated a definition of branched submanifold of e"}
{"subject": "math:arxiv_184154", "predicate": "proves", "object": "we consider @xmath0-equivariant dimensional reduction of yang - mills theory on khler manifolds of t"}
{"subject": "math:arxiv_184164", "predicate": "proves", "object": "motivated by questions in theoretical distributed computing , we develop the combinatorial theory of"}
{"subject": "math:arxiv_184172", "predicate": "proves", "object": "using the hellmann  feynman theorem we analyze the contribution of the different terms of the nucleo"}
{"subject": "math:arxiv_184175", "predicate": "proves", "object": "in this paper , we study the bilinear form and the general @xmath0-soliton solution for a two - comp"}
{"subject": "math:arxiv_184177", "predicate": "proves", "object": "k.  ding studied a class of schubert varieties @xmath0 in type a partial flag manifolds , indexed by"}
{"subject": "math:arxiv_184210", "predicate": "proves", "object": "we elucidate the general rule governing the response of dislocation lines in three - dimensional top"}
{"subject": "math:arxiv_184217", "predicate": "proves", "object": "for any perturbative series that is known to @xmath0-subleading orders of perturbation theory , we u"}
{"subject": "math:arxiv_184223", "predicate": "proves", "object": "we give more details about an integrable system @xcite in which the dirac operator @xmath0 on a grap"}
{"subject": "math:arxiv_184225", "predicate": "proves", "object": "we provide a detailed discussion of out - of - equilibrium phase transitions in the hamiltonian mean"}
{"subject": "math:arxiv_184241", "predicate": "proves", "object": "we present results of diffusion monte carlo calculations for a system of solid ortho - d@xmath0 at d"}
{"subject": "math:arxiv_184266", "predicate": "proves", "object": "the ktev e799 experiment has conducted a search for the rare decay @xmath0 via the topology @xmath1 "}
{"subject": "math:arxiv_184273", "predicate": "proves", "object": "the proposed ds / cft correspondence remains an intriguing paradigm in the context of string theory "}
{"subject": "math:arxiv_184283", "predicate": "proves", "object": "we study a composition of normal and exotic matter which is required for a flat emergent universe sc"}
{"subject": "math:arxiv_184300", "predicate": "proves", "object": "a microscopic theory for nuclear pairing is proposed through the generalized density matrix formalis"}
{"subject": "math:arxiv_184305", "predicate": "proves", "object": "there exist diverse no - go theorems , ranging from no - cloning to monogamies of quantum correlatio"}
{"subject": "math:arxiv_184313", "predicate": "proves", "object": "we provide a complete classification of the class of unital graph algebras   prominently containing "}
{"subject": "math:arxiv_184321", "predicate": "proves", "object": "this paper concerns the motion of relativistic strings in the schwarzschild space - time . as a gene"}
{"subject": "math:arxiv_184328", "predicate": "proves", "object": "many physical problems can be described using the integral equations known as volterra equations . \n"}
{"subject": "math:arxiv_184331", "predicate": "proves", "object": "employing a twisted superspace with eight supercharges , we describe an off - shell formulation of @"}
{"subject": "math:arxiv_184339", "predicate": "proves", "object": "this paper presents a study of the characterization of the singular manifold of the six - degree - o"}
{"subject": "math:arxiv_184370", "predicate": "proves", "object": "using heuristic arguments based on the trace formulas , we analytically calculate the semiclassical "}
{"subject": "math:arxiv_184374", "predicate": "proves", "object": "a simple but rigorous proof of the _ fundamental theorem of calculus _ is given in geometric calculu"}
{"subject": "math:arxiv_184391", "predicate": "proves", "object": "we consider the propagation of gaussian beams in a waveguide with gain and loss in the paraxial appr"}
{"subject": "math:arxiv_184408", "predicate": "proves", "object": "the diagram technique for the one - band hubbard model is formulated for the case of moderate to str"}
{"subject": "math:arxiv_184422", "predicate": "proves", "object": "in this short paper we compute the values of dijkgraaf - witten invariants over @xmath0 for all orie"}
{"subject": "math:arxiv_184423", "predicate": "proves", "object": "let @xmath0 be an exact symplectic manifold with contact type boundary such that @xmath1 . in this p"}
{"subject": "math:arxiv_184444", "predicate": "proves", "object": "the von neumann entropy at the output of a bosonic channel with thermal noise is analyzed . \n cohere"}
{"subject": "math:arxiv_184455", "predicate": "proves", "object": "we study effects of a chiral helimagnet ( chm ) on vortex states in a superconductor , solving the g"}
{"subject": "math:arxiv_184466", "predicate": "proves", "object": "the renormalization group evolution equation for two neutrino mixing is known to exhibit nontrivial "}
{"subject": "math:arxiv_184476", "predicate": "proves", "object": "anisotropy effects on the finite - size critical behavior of a two - dimensional ising model on a ge"}
{"subject": "math:arxiv_184485", "predicate": "proves", "object": "we provide a real algebraic symbolic - numeric algorithm for computing the real variety @xmath0 of a"}
{"subject": "math:arxiv_184490", "predicate": "proves", "object": "0.2 cm electronic transport through thin and laterally constrained domain walls in ferromagnetic nan"}
{"subject": "math:arxiv_184493", "predicate": "proves", "object": "we describe results concerning the existence proofs of discrete breathers ( dbs ) in the two classes"}
{"subject": "math:arxiv_184500", "predicate": "proves", "object": "we discuss orbital entanglement in mesoscopic conductors , focusing on the effect of dephasing . \n t"}
{"subject": "math:arxiv_184509", "predicate": "proves", "object": "in this paper we discuss the effect of gravitational frame dragging on orbiting qubits . in particul"}
{"subject": "math:arxiv_184516", "predicate": "proves", "object": "we compute the one - loop lattice renormalization of the two - quark operators @xmath0 , where @xmat"}
{"subject": "math:arxiv_184537", "predicate": "proves", "object": "high precision multipole polarizabilities , @xmath0 for @xmath1 of the @xmath2 ground state of the h"}
{"subject": "math:arxiv_184542", "predicate": "proves", "object": "for a class of dynamical systems , called the axiom - a systems , sinai , ruelle and bowen showed th"}
{"subject": "math:arxiv_184556", "predicate": "proves", "object": "in this paper we show that the c*-algebra generated by radial toeplitz operators with @xmath0-symbol"}
{"subject": "math:arxiv_184561", "predicate": "proves", "object": "the non - integrable mass is studied explicitly in this paper . \n we study einstein - scalar graviti"}
{"subject": "math:arxiv_184566", "predicate": "proves", "object": "non - linear nature of einstein equation introduces genuine relativistic higher order corrections to"}
{"subject": "math:arxiv_184569", "predicate": "proves", "object": "the heat current across a quantum harmonic system connected to reservoirs at different temperatures "}
{"subject": "math:arxiv_184576", "predicate": "proves", "object": "schmutz schaller s @xcite conjecture regarding the lengths of the hexagonal versus the lengths of th"}
{"subject": "math:arxiv_184587", "predicate": "proves", "object": "we present an inverse scattering transform approach for the equation @xmath0 this equation can be vi"}
{"subject": "math:arxiv_184617", "predicate": "proves", "object": "let @xmath0 be the cover time of two - dimensional discrete torus @xmath1 . \n we prove that @xmath2="}
{"subject": "math:arxiv_184637", "predicate": "proves", "object": "efficient structure search is a major challenge in computational materials science . \n we present a "}
{"subject": "math:arxiv_184664", "predicate": "proves", "object": "i give a brief introduction to many worlds or `` no wavefunction collapse '' quantum mechanics , sui"}
{"subject": "math:arxiv_184677", "predicate": "proves", "object": "we present a study of the geodesic equations of a black hole space - time which is a solution of the"}
{"subject": "math:arxiv_184683", "predicate": "proves", "object": "we investigate the transport through a few - level quantum system described by a markovian master eq"}
{"subject": "math:arxiv_184691", "predicate": "proves", "object": "the first part of hilbert s sixteenth problem deals with the classification of the isotopy types rea"}
{"subject": "math:arxiv_184712", "predicate": "proves", "object": "3.0 ex we consider the structure of divergences in drell - yan process with small transverse momentu"}
{"subject": "math:arxiv_184714", "predicate": "proves", "object": "we propose a simple , yet expressive proof representation from which proofs for different proof assi"}
{"subject": "math:arxiv_184726", "predicate": "proves", "object": "we study the bifurcations of a set of nine nonlinear ordinary differential equations that describe t"}
{"subject": "math:arxiv_184729", "predicate": "proves", "object": "in this paper we study for the incompressible euler equations the global structure of the bifurcatio"}
{"subject": "math:arxiv_184740", "predicate": "proves", "object": "this paper presents finite - velocity random motions driven by fractional klein  gordon equations of"}
{"subject": "math:arxiv_184742", "predicate": "proves", "object": "we prove a weaker version of the hilbert - smith conjecture : if @xmath0 is a compact hausdorff topo"}
{"subject": "math:arxiv_184773", "predicate": "proves", "object": "we prove a correspondence theorem for singular tropical surfaces in @xmath0 , which recovers singula"}
{"subject": "math:arxiv_184801", "predicate": "proves", "object": "in this article , we discuss some classical problems in combinatorics which can be solved by exploit"}
{"subject": "math:arxiv_184811", "predicate": "proves", "object": "recently , we have derived a fluctuation theorem for systems in thermodynamic equilibrium compatible"}
{"subject": "math:arxiv_184817", "predicate": "proves", "object": "in this paper we study random linear systems with @xmath0 variables per equation over the finite fie"}
{"subject": "math:arxiv_184830", "predicate": "proves", "object": "a general approach how to analytically describe and understand @xmath0 lattice thermodynamics in the"}
{"subject": "math:arxiv_184831", "predicate": "proves", "object": "the properties of the evolution equation have been analyzed . the uniqueness and the existence of so"}
{"subject": "math:arxiv_184842", "predicate": "proves", "object": "a dynamical system of equations describing parametric sound generation ( psg ) in a dispersive large"}
{"subject": "math:arxiv_184857", "predicate": "proves", "object": "for a @xmath0 surface @xmath1 , consider the subring of @xmath2 generated by divisor and diagonal cl"}
{"subject": "math:arxiv_184864", "predicate": "proves", "object": "the holonomy group @xmath0 of a pseudo - quaternionic - khlerian manifold of signature @xmath1 with "}
{"subject": "math:arxiv_184872", "predicate": "proves", "object": "we solve a conjecture raised by evans in 1991 on the characterization of the positively correlated s"}
{"subject": "math:arxiv_184873", "predicate": "proves", "object": "in this paper we consider sheaves of differential operators on quadrics of low dimension in positive"}
{"subject": "math:arxiv_184879", "predicate": "proves", "object": "_ background _ : understanding the complex hierarchical topology of functional brain networks is a k"}
{"subject": "math:arxiv_184884", "predicate": "proves", "object": "the theory for condensation of higher fermionic clusters is developed . \n fully selfconsistent nonli"}
{"subject": "math:arxiv_184903", "predicate": "proves", "object": "as an application of cauchy s theorem we prove that @xmath0 answering a question first posted in mat"}
{"subject": "math:arxiv_184904", "predicate": "proves", "object": "we study an extension of @xmath0,$ ] first - order logic interpreted in finite words , in which form"}
{"subject": "math:arxiv_184907", "predicate": "proves", "object": "the time evolution of a charged point particle is governed by a second - order integro - differentia"}
{"subject": "math:arxiv_184915", "predicate": "proves", "object": "calculations of the ground state of inhomogeneous many - electron systems involve a solving of the p"}
{"subject": "math:arxiv_184936", "predicate": "proves", "object": "let @xmath0 be a finite group acting by automorphism on a lattice @xmath1 , and hence on the group a"}
{"subject": "math:arxiv_184940", "predicate": "proves", "object": "we prove that some fairly basic questions on automata reading infinite words depend on the models of"}
{"subject": "math:arxiv_184947", "predicate": "proves", "object": "the transient thermocapillary migration of drops with nontrivial deformation is studied . \n the fini"}
{"subject": "math:arxiv_184959", "predicate": "proves", "object": "we use the overlapping grids method to construct a fourth order accurate discretization of a first o"}
{"subject": "math:arxiv_184996", "predicate": "proves", "object": "the solution for an inflationary universe without singularities is derived from the einstein - lemat"}
{"subject": "math:arxiv_185001", "predicate": "proves", "object": "in this paper , a technique for constructing quasiperiodic structures is suggested , which allows on"}
{"subject": "math:arxiv_185004", "predicate": "proves", "object": "we propose here a multidimensional generalisation of the notion of link introduced in our previous p"}
{"subject": "math:arxiv_185010", "predicate": "proves", "object": "in this paper , we give a procedure for derivation of higher dimensional periodic recurrence equatio"}
{"subject": "math:arxiv_185011", "predicate": "proves", "object": "motivated by recent work on instabilities in expanding domains in reaction - diffusion settings , we"}
{"subject": "math:arxiv_185020", "predicate": "proves", "object": "we have analysed pion photoproduction imposing constraints from fixed @xmath0 dispersion relations a"}
{"subject": "math:arxiv_185038", "predicate": "proves", "object": "in this paper , by using an almost increasing and @xmath0-quasi - monotone sequence , a general theo"}
{"subject": "math:arxiv_185063", "predicate": "proves", "object": "multiple imputation is a popular imputation method for general purpose estimation . @xcite \n provide"}
{"subject": "math:arxiv_185070", "predicate": "proves", "object": "these lectures on the combinatorics and geometry of @xmath0-polytopes are meant as an _ introduction"}
{"subject": "math:arxiv_185087", "predicate": "proves", "object": "we have developed a theory for inhomogeneous systems that allows for incorporation of effects of mes"}
{"subject": "math:arxiv_185089", "predicate": "proves", "object": "we consider super - inflating solutions in modified gravity for several popular families of @xmath0 "}
{"subject": "math:arxiv_185098", "predicate": "proves", "object": "recently for the sine - gordon equation it has been established that during collisions of @xmath0 sl"}
{"subject": "math:arxiv_185115", "predicate": "proves", "object": "we extend the notions of conditioned and controlled invariant spaces to linear dynamical systems ove"}
{"subject": "math:arxiv_185129", "predicate": "proves", "object": "several new particle searches have been performed in the delphi experiment involving @xmath0 leptons"}
{"subject": "math:arxiv_185137", "predicate": "proves", "object": "tracking calculations of charged particles in electromagnetic fields require in principle the simult"}
{"subject": "math:arxiv_185210", "predicate": "proves", "object": "in this paper we carry out analysis and geometry for a class of infinite dimensional manifolds , nam"}
{"subject": "math:arxiv_185212", "predicate": "proves", "object": "correlations in the properties of the static compact stars ( css ) and the ones rotating with the hi"}
{"subject": "math:arxiv_185229", "predicate": "proves", "object": "we obtain lower bounds on the ground state energy , in one and three dimensions , for the spinless s"}
{"subject": "math:arxiv_185237", "predicate": "proves", "object": "this article is the first in a series of three papers investigating the detailed geometry of river n"}
{"subject": "math:arxiv_185240", "predicate": "proves", "object": "we prove strong convergence of order @xmath0 of the euler - maruyama method for multidimensional sto"}
{"subject": "math:arxiv_185261", "predicate": "proves", "object": "we derive the existence of hopf subalgebras generated by green s functions in the hopf algebra of fe"}
{"subject": "math:arxiv_185279", "predicate": "proves", "object": "we use convex geometry tools , in particular john ellipsoids , to obtain a size estimate for the sze"}
{"subject": "math:arxiv_185295", "predicate": "proves", "object": "we obtain weak rates for approximation of an integral functional of a  markov process by integral su"}
{"subject": "math:arxiv_185298", "predicate": "proves", "object": "we describe a hybrid direct simulation monte carlo ( dsmc ) code for simultaneously solving the _ co"}
{"subject": "math:arxiv_185315", "predicate": "proves", "object": "we show that the resulting manifold by @xmath0-surgery on the knot @xmath1 , which is the two - brid"}
{"subject": "math:arxiv_185327", "predicate": "proves", "object": "this work deals with the problem of choosing a time step for the numerical solution of boundary valu"}
{"subject": "math:arxiv_185328", "predicate": "proves", "object": "we present numerical results of electric conductivity @xmath0 of a fluid obtained solving the relati"}
{"subject": "math:arxiv_185329", "predicate": "proves", "object": "we introduce and analyze multilevel monte carlo algorithms for the computation of @xmath0 , where @x"}
{"subject": "math:arxiv_185331", "predicate": "proves", "object": "in this work , we investigate the accuracy of various approximate expressions for the transit durati"}
{"subject": "math:arxiv_185341", "predicate": "proves", "object": "we give relations for the embedding of spatially - flat friedmann - robertson - walker cosmological "}
{"subject": "math:arxiv_185353", "predicate": "proves", "object": "we construct a new invariant of transverse links in the standard contact structure on @xmath0 this i"}
{"subject": "math:arxiv_185360", "predicate": "proves", "object": "from general relativity we have learned the principles of general covariance and local lorentz invar"}
{"subject": "math:arxiv_185366", "predicate": "proves", "object": "a novel explicit and implicit kinetic streamlined - upwind petrov galerkin ( ksupg ) scheme is prese"}
{"subject": "math:arxiv_185368", "predicate": "proves", "object": "let @xmath0 be a closed , connected manifold , and @xmath1 its loop space . in this paper \n we descr"}
{"subject": "math:arxiv_185379", "predicate": "proves", "object": "massive early - type galaxies are observed to lie on the mass plane ( mp ) , a two - dimensional man"}
{"subject": "math:arxiv_185382", "predicate": "proves", "object": "efficient usage of the knowledge provided by the linked data community is often hindered by the need"}
{"subject": "math:arxiv_185391", "predicate": "proves", "object": "it is shown how various ideas that are well established for the solution of poisson s equation using"}
{"subject": "math:arxiv_185394", "predicate": "proves", "object": "we introduce a simple and very fast algorithm that computes weil - petersson metrics on moduli space"}
{"subject": "math:arxiv_185403", "predicate": "proves", "object": "given @xmath0 , a compact riemannian manifold @xmath1 and a sobolev map @xmath2 , we construct a map"}
{"subject": "math:arxiv_185415", "predicate": "proves", "object": "trimolecular reaction models are investigated in the compartment - based ( lattice - based ) framewo"}
{"subject": "math:arxiv_185423", "predicate": "proves", "object": "unphysical particles are commonly ruled out from the solution of physical equations , as they fundam"}
{"subject": "math:arxiv_185432", "predicate": "proves", "object": "we construct sequences of rapidly rotating neutron stars in dilatonic einstein - gauss - bonnet theo"}
{"subject": "math:arxiv_185452", "predicate": "proves", "object": "a branching random walk algorithm for the many - body wigner equation and its numerical applications"}
{"subject": "math:arxiv_185458", "predicate": "proves", "object": "an effective model is used to study the equation of state(eos ) of warm strange hadronic matter with"}
{"subject": "math:arxiv_185488", "predicate": "proves", "object": "strong disorder renormalization for the random transverse field ising model leads to a complicated t"}
{"subject": "math:arxiv_185502", "predicate": "proves", "object": "monotone hurwitz numbers were introduced by the authors as a combinatorially natural desymmetrizatio"}
{"subject": "math:arxiv_185514", "predicate": "proves", "object": "more general probability sum - rules for describing interference than found in quantum mechanics ( q"}
{"subject": "math:arxiv_185559", "predicate": "proves", "object": "the dispersion - managed ( dm ) optical system with step - wise periodical variation of dispersion i"}
{"subject": "math:arxiv_185560", "predicate": "proves", "object": "stochastic differential equations , especially the one called langevin equation , play an important "}
{"subject": "math:arxiv_185561", "predicate": "proves", "object": "quite recently , grabowska and kaplan presented a 4-dimensional lattice formulation of chiral gauge "}
{"subject": "math:arxiv_185571", "predicate": "proves", "object": "a new formulation of second - order viscous hydrodynamics , based on an expansion around a locally a"}
{"subject": "math:arxiv_185599", "predicate": "proves", "object": "we provide simple examples of closed - form gaussian wavepacket solutions of the free - particle sch"}
{"subject": "math:arxiv_185614", "predicate": "proves", "object": "in deepak dhar s model of abelian distributed processors , automata occupy the vertices of a graph a"}
{"subject": "math:arxiv_185625", "predicate": "proves", "object": "a review of a recent theoretical investigation of the quantum transverse beam motion that has been d"}
{"subject": "math:arxiv_185630", "predicate": "proves", "object": "we have found a new class of time dependent partial waves which are solutions of time dependent schr"}
{"subject": "math:arxiv_185635", "predicate": "proves", "object": "the nature and scope of various impossibility proofs as they relate to real - world situations are d"}
{"subject": "math:arxiv_185637", "predicate": "proves", "object": "we give an elementary proof of a conjecture by hegselmann and krause in opinion dynamics , concernin"}
{"subject": "math:arxiv_185639", "predicate": "proves", "object": "polarization in ferroelectrics , described by the landau - ginzburg hamiltonian , is considered , ba"}
{"subject": "math:arxiv_185652", "predicate": "proves", "object": "in this work we propose a option pricing model based on the ornstein - uhlenbeck process . \n it is a"}
{"subject": "math:arxiv_185666", "predicate": "proves", "object": "this paper extends the derivation of the lagrangian averaged euler ( lae-@xmath0 ) equations to the "}
{"subject": "math:arxiv_185670", "predicate": "proves", "object": "the busch - formula relates the energy - spectrum of two point - like particles interacting in a 3-d"}
{"subject": "math:arxiv_185681", "predicate": "proves", "object": "in the preceding paper , the exact solution of stokes equation was obtained for a binary strong elec"}
{"subject": "math:arxiv_185682", "predicate": "proves", "object": "we prove a theorem unifying three results from combinatorial homological and commutative algebra , c"}
{"subject": "math:arxiv_185729", "predicate": "proves", "object": "we show how some hamiltonians may be approximated using rotating wave approximation methods . in ord"}
{"subject": "math:arxiv_185733", "predicate": "proves", "object": "the nonlinear ginzburg - landau equations are solved numerically in order to investigate the vortex "}
{"subject": "math:arxiv_185736", "predicate": "proves", "object": "the bethe - salpeter equation for the t - matrix of @xmath0 scattering is solved with a meson - meso"}
{"subject": "math:arxiv_185742", "predicate": "proves", "object": "families of solitons in one- and two - dimensional ( 1d and 2d ) gross - pitaevskii equations with t"}
{"subject": "math:arxiv_185748", "predicate": "proves", "object": "abstract    various aspects of coherent states of nonlinear @xmath0 and @xmath1 algebras are studied"}
{"subject": "math:arxiv_185753", "predicate": "proves", "object": "this article is an elaboration of a talk given at an international conference on operator theory , q"}
{"subject": "math:arxiv_185787", "predicate": "proves", "object": "the single - band current - dipole kubo formula for the dynamical conductivity of heavily doped grap"}
{"subject": "math:arxiv_185790", "predicate": "proves", "object": "* abstract . * \n the massive dirac equation is considered in the non - extreme kerr geometry in hori"}
{"subject": "math:arxiv_185807", "predicate": "proves", "object": "in this paper we present randomization methods to enhance the accuracy of the central limit theorem "}
{"subject": "math:arxiv_185809", "predicate": "proves", "object": "we revisit the swing amplification model of galactic spiral arms proposed by toomre ( 1981 ) . \n we "}
{"subject": "math:arxiv_185852", "predicate": "proves", "object": "we investigate the lowest scattering state of one - dimensional bose gas with attractive interaction"}
{"subject": "math:arxiv_185858", "predicate": "proves", "object": "time - resolved electron transport in nano - devices is described by means of a time - nonlocal quan"}
{"subject": "math:arxiv_185863", "predicate": "proves", "object": "in this article , we calculate the dressed quark propagator with the flat bottom potential in the fr"}
{"subject": "math:arxiv_185873", "predicate": "proves", "object": "we give a short survey of the rationality problem for quasi - monomial actions which includes noethe"}
{"subject": "math:arxiv_185875", "predicate": "proves", "object": "macbeath gave a formula for the number of fixed points for each non - identity element of a cyclic g"}
{"subject": "math:arxiv_185886", "predicate": "proves", "object": "the expulsion dynamics of the last liquid monolayer of molecules confined between two surfaces has b"}
{"subject": "math:arxiv_185925", "predicate": "proves", "object": "we derive a non - perturbative evolution equation for the gluon propagator in axial gauges based on "}
{"subject": "math:arxiv_185935", "predicate": "proves", "object": "refinement calculus is a powerful and expressive tool for reasoning about sequential programs in a c"}
{"subject": "math:arxiv_185947", "predicate": "proves", "object": "we analyze the dynamics of brownian ratchets in a confined environment . \n the motion of the particl"}
{"subject": "math:arxiv_185949", "predicate": "proves", "object": "in this paper we give two different proofs of bobenko and springborn s theorem of circle pattern : t"}
{"subject": "math:arxiv_185957", "predicate": "proves", "object": "motions of continuous media presenting singularities are associated with phenomena involving shocks "}
{"subject": "math:arxiv_185975", "predicate": "proves", "object": "we present a simple proof of a precise version of the localization theorem in equivariant cohomology"}
{"subject": "math:arxiv_185985", "predicate": "proves", "object": "it is well - known that a topological group can be represented as a group of isometries of a reflexi"}
{"subject": "math:arxiv_185989", "predicate": "proves", "object": "recently proposed nonholonomic deformation of the kdv equation is solved through inverse scattering "}
{"subject": "math:arxiv_186002", "predicate": "proves", "object": "we investigated the noise of interferometric gravitational wave detectors due to heat energy deposit"}
{"subject": "math:arxiv_186017", "predicate": "proves", "object": "we will obtain real and complex solutions to the painlev iv equation through supersymmetric quantum "}
{"subject": "math:arxiv_186022", "predicate": "proves", "object": "we present results from a monte carlo simulation of the nambu  jona - lasinio model , with continuou"}
{"subject": "math:arxiv_186031", "predicate": "proves", "object": "the standard way to model the cosmic ray solar modulations is via the parker equation , that is as t"}
{"subject": "math:arxiv_186032", "predicate": "proves", "object": "we report on the hopf algebraic description of renormalization theory of quantum electrodynamics . \n"}
{"subject": "math:arxiv_186041", "predicate": "proves", "object": "the coleman  mandula ( cm ) theorem states that the poincar and internal symmetries of a minkowski s"}
{"subject": "math:arxiv_186044", "predicate": "proves", "object": "we study the percolation phase transition in hierarchical scale - free nets . depending on the metho"}
{"subject": "math:arxiv_186047", "predicate": "proves", "object": "it is known that the limiting behavior of the contact process strongly depends upon the geometry of "}
{"subject": "math:arxiv_186051", "predicate": "proves", "object": "we study a robin boundary problem for degenerate parabolic equation . \n we suggest a notion of entro"}
{"subject": "math:arxiv_186058", "predicate": "proves", "object": "geodesic equations of timelike and null charged particles in the ernst metric are studied . \n we con"}
{"subject": "math:arxiv_186069", "predicate": "proves", "object": "this article is devoted to the study of jack connection coefficients , a generalization of the conne"}
{"subject": "math:arxiv_186076", "predicate": "proves", "object": "starting from the linear flow of homogeneous fluid , five modes are defined as eigenvectors of the b"}
{"subject": "math:arxiv_186084", "predicate": "proves", "object": "the dirac equation is solved for triangular and hexagonal graphene quantum dots for different bounda"}
{"subject": "math:arxiv_186087", "predicate": "proves", "object": "infinite - dimensional linear conic formulations are described for nonlinear optimal control problem"}
{"subject": "math:arxiv_186102", "predicate": "proves", "object": "a matrix algebra is constructed which consists of the necessary degrees of freedom for a finite appr"}
{"subject": "math:arxiv_186108", "predicate": "proves", "object": "to describe external and internal attributes of fundamental fermions , a theory of multi - spinor fi"}
{"subject": "math:arxiv_186112", "predicate": "proves", "object": "the schrdinger equation for a particle moving in a square well potential with bendaniel - duke bound"}
{"subject": "math:arxiv_186132", "predicate": "proves", "object": "we show that for certain hyperbolic manifolds all boundary slopes are slopes of immersed surfaces , "}
{"subject": "math:arxiv_186141", "predicate": "proves", "object": "using an adaptation of qin jiushao s method from the 13th century , it is possible to prove that a s"}
{"subject": "math:arxiv_186159", "predicate": "proves", "object": "we prove a coherence theorem for invertible objects in a symmetric monoidal category . \n this is use"}
{"subject": "math:arxiv_186169", "predicate": "proves", "object": "we prove a fractional noether s theorem for fractional lagrangian systems invariant under a symmetry"}
{"subject": "math:arxiv_186188", "predicate": "proves", "object": "we propose a conjectural stronger version of bogomolov - gieseker inequality for stable sheaves on q"}
{"subject": "math:arxiv_186196", "predicate": "proves", "object": "in this paper , we study degenerate parabolic system , which is strongly coupled . \n we prove genera"}
{"subject": "math:arxiv_186201", "predicate": "proves", "object": "in this paper we answer a simple question : can a misaligned circumbinary planet induce kozai - lido"}
{"subject": "math:arxiv_186203", "predicate": "proves", "object": "we show that every negative definite configuration of symplectic surfaces in a symplectic @xmath0man"}
{"subject": "math:arxiv_186212", "predicate": "proves", "object": "we present an exact solution of the equations for orbit determination of a two body system in a hype"}
{"subject": "math:arxiv_186223", "predicate": "proves", "object": "a universal coefficient theorem in the setting of kirchberg s ideal - related @xmath0-theory was obt"}
{"subject": "math:arxiv_186226", "predicate": "proves", "object": "we refine and extend an earlier mdl denoising criterion for wavelet - based denoising . \n we start b"}
{"subject": "math:arxiv_186229", "predicate": "proves", "object": "by employing a recently constructed hyperon - nucleon potential the equation of state of @xmath0-equ"}
{"subject": "math:arxiv_186230", "predicate": "proves", "object": "in this note , we study energy estimates for einstein vacuum equations in order to prove the formati"}
{"subject": "math:arxiv_186234", "predicate": "proves", "object": "this document describes our freely distributed maple library spectra , for semidefinite programming "}
{"subject": "math:arxiv_186235", "predicate": "proves", "object": "we give a characterization of conformal classes realizing a compact manifold s yamabe invariant . \n "}
{"subject": "math:arxiv_186246", "predicate": "proves", "object": "in this paper , we consider how to express an iwahori  whittaker function through demazure character"}
{"subject": "math:arxiv_186252", "predicate": "proves", "object": "guided by molecular dynamics simulations , we generalize the navier - stokes - fourier constitutive "}
{"subject": "math:arxiv_186253", "predicate": "proves", "object": "we aim at deriving an equation of motion for specific sums of momentum mode occupation numbers from "}
{"subject": "math:arxiv_186254", "predicate": "proves", "object": "the lie algebra of feynman graphs gives rise to two natural representations , acting as derivations "}
{"subject": "math:arxiv_186258", "predicate": "proves", "object": "the normalization condition for the relativistic three nucleon bethe - salpeter and gross bound stat"}
{"subject": "math:arxiv_186270", "predicate": "proves", "object": "the einstein field equations for several cosmological models reduce to polynomial systems of ordinar"}
{"subject": "math:arxiv_186272", "predicate": "proves", "object": "in this paper we discuss candidate superconformal @xmath0 gauge theories that realize the ads / cft "}
{"subject": "math:arxiv_186273", "predicate": "proves", "object": "the efficiency of the variational perturbation theory [ phys . \n rev . \n c * 62 * , 045503 ( 2000 ) "}
{"subject": "math:arxiv_186276", "predicate": "proves", "object": "we present a new hybrid smoothed particle hydrodynamics ( sph)/@xmath0-body method for modelling the"}
{"subject": "math:arxiv_186281", "predicate": "proves", "object": "in this paper , we give a more direct proof of the results by clair and mokhtari - sharghi @xcite on"}
{"subject": "math:arxiv_186285", "predicate": "proves", "object": "we provide a simple formula that accurately approximates the first crossing distribution of barriers"}
{"subject": "math:arxiv_186289", "predicate": "proves", "object": "we study the numerical resolution of the time - dependent gross - pitaevskii equation , a non - line"}
{"subject": "math:arxiv_186299", "predicate": "proves", "object": "approximate analytical formula for density distribution in differentially rotating stars is derived "}
{"subject": "math:arxiv_186301", "predicate": "proves", "object": "deformations of minimal surfaces lying in constant time slices in static space - times are studied ."}
{"subject": "math:arxiv_186317", "predicate": "proves", "object": "we discussed exact solutions of the schrdinger equation for a two - dimensional parabolic confinemen"}
{"subject": "math:arxiv_186321", "predicate": "proves", "object": "we present new version of previously published fortran and c programs for solving the gross - pitaev"}
{"subject": "math:arxiv_186328", "predicate": "proves", "object": "a stochastic maximum principle is proved for optimal controls of semilinear stochastic evolution equ"}
{"subject": "math:arxiv_186330", "predicate": "proves", "object": "the manin conjecture is established for chtelet surfaces over @xmath0 arising as minimal proper smoo"}
{"subject": "math:arxiv_186339", "predicate": "proves", "object": "kerr - schild ( ks ) geometry of the rotating black - holes and spinning particles is based on the a"}
{"subject": "math:arxiv_186352", "predicate": "proves", "object": "trapped bose atoms cooled down to temperatures below the bose - einstein condensation temperature ar"}
{"subject": "math:arxiv_186359", "predicate": "proves", "object": "a thermodynamically consistent particle - based model for fluid dynamics with continuous velocities "}
{"subject": "math:arxiv_186374", "predicate": "proves", "object": "in the context of markov evolution , we present two original approaches to obtain generalized fluctu"}
{"subject": "math:arxiv_186376", "predicate": "proves", "object": "we derive the higher dimensional generalization of penrose  tod equation describing past horizon in "}
{"subject": "math:arxiv_186402", "predicate": "proves", "object": "we apply the proper orthogonal decomposition ( pod ) to the nonlinear schrdinger ( nls ) equation to"}
{"subject": "math:arxiv_186421", "predicate": "proves", "object": "exact stationary axially symmetric solutions of the 4-dimensional einstein equations with co - rotat"}
{"subject": "math:arxiv_186430", "predicate": "proves", "object": "we show that a hyperbolic @xmath0-manifold can be the cyclic branched cover of at most fifteen knots"}
{"subject": "math:arxiv_186451", "predicate": "proves", "object": "we present a detailed derivation of the renormalization group equations for two dimensional electrom"}
{"subject": "math:arxiv_186460", "predicate": "proves", "object": "we derive the renormalized schwinger - dyson equations for the one- and two - point functions in the"}
{"subject": "math:arxiv_186467", "predicate": "proves", "object": "in this paper , we study the structure of the singular set for a @xmath0 smooth surface in the @xmat"}
{"subject": "math:arxiv_186474", "predicate": "proves", "object": "new numerical methods have been applied in relativity to obtain a numerical evolution of einstein eq"}
{"subject": "math:arxiv_186475", "predicate": "proves", "object": "the heavy ion probability for continuum @xmath0 pair production has been calculated to all orders in"}
{"subject": "math:arxiv_186478", "predicate": "proves", "object": "this is a concise introduction to fomin - zelevinsky s cluster algebras and their links with the rep"}
{"subject": "math:arxiv_186482", "predicate": "proves", "object": "schroedinger equation on a hilbert space @xmath0 , represents a linear hamiltonian dynamical system "}
{"subject": "math:arxiv_186483", "predicate": "proves", "object": "recently oliver and soundararajan made conjectures based on computational enumerations about the fre"}
{"subject": "math:arxiv_186495", "predicate": "proves", "object": "three subjects are considered here : the relativistic hydrodynamics equations for a boost - invarian"}
{"subject": "math:arxiv_186505", "predicate": "proves", "object": "the use of orthonormal wavelet basis functions for solving singular integral scattering equations is"}
{"subject": "math:arxiv_186514", "predicate": "proves", "object": "after a succinct review of the mond paradigm  with its phenomenology , and its various underlying th"}
{"subject": "math:arxiv_186532", "predicate": "proves", "object": "we propose a new empirical formula for the anomalous hall effect in heavy electron materials based o"}
{"subject": "math:arxiv_186540", "predicate": "proves", "object": "we consider a class of nonlinear partial - differential equations , including the spatially homogene"}
{"subject": "math:arxiv_186544", "predicate": "proves", "object": "we show that one - sided alexandrov embedded constant mean curvature cylinders of finite type in the"}
{"subject": "math:arxiv_186559", "predicate": "proves", "object": "we study a scalar integro - differential conservation law . \n the equation was first derived in @xci"}
{"subject": "math:arxiv_186563", "predicate": "proves", "object": "we study interactions between the dark solitons of the parametrically driven nonlinear schrdinger eq"}
{"subject": "math:arxiv_186572", "predicate": "proves", "object": "we derive solutions to the schwinger - dyson equations on the closed - time - path for a scalar fiel"}
{"subject": "math:arxiv_186589", "predicate": "proves", "object": "\\(1 ) for any integers @xmath0 and @xmath1 , there is a closed 3-manifold @xmath2 which admits a dis"}
{"subject": "math:arxiv_186612", "predicate": "proves", "object": "we show that any exceptional non - trivial dehn surgery on a hyperbolic two - bridge knot , yields a"}
{"subject": "math:arxiv_186615", "predicate": "proves", "object": "we establish a criterion for when an abelian extension of infinite - dimensional lie algebras @xmath"}
{"subject": "math:arxiv_186624", "predicate": "proves", "object": "the theoretical formulation of x - ray resonant magnetic scattering from rough surfaces and interfac"}
{"subject": "math:arxiv_186625", "predicate": "proves", "object": "we present a procedure to construct @xmath0-hom - nambu - lie algebras from @xmath1-hom - nambu - li"}
{"subject": "math:arxiv_186637", "predicate": "proves", "object": "telegraph equation describing the compression of electromagnetic waves in a waveguide ( resonator ) "}
{"subject": "math:arxiv_186661", "predicate": "proves", "object": "proper lattices for the discrete bkp and the discrete dkp equaitons are determined . \n linear bcklun"}
{"subject": "math:arxiv_186671", "predicate": "proves", "object": "we present a heisenberg operator based formulation of coherent quantum feedback and pyragas control "}
{"subject": "math:arxiv_186674", "predicate": "proves", "object": "we obtain the most general matrix criterion for stability and instability of _ multi - component sol"}
{"subject": "math:arxiv_186675", "predicate": "proves", "object": "the folding rates of two - state proteins have been found to correlate with simple measures of nativ"}
{"subject": "math:arxiv_186715", "predicate": "proves", "object": "it is shown that every complete @xmath0-vertex simple topological graph has at @xmath1 pairwise disj"}
{"subject": "math:arxiv_186729", "predicate": "proves", "object": "in this work , we analytically study the schrdinger equation for the ( non - pure ) dipolar ion pote"}
{"subject": "math:arxiv_186733", "predicate": "proves", "object": "in this article we introduce a framization of the hecke algebra of type @xmath0 . for this framizati"}
{"subject": "math:arxiv_186738", "predicate": "proves", "object": "we extend the formalism of hopf cyclic cohomology to the context of braided categories . for a hopf "}
{"subject": "math:arxiv_186739", "predicate": "proves", "object": "a class of meson decay modes sensitive to only one quark topology at leading @xmath0 order ( annihil"}
{"subject": "math:arxiv_186751", "predicate": "proves", "object": "we prove three conjectures of fraenkel and ho regarding two classes of variants of wythoff s game . "}
{"subject": "math:arxiv_186752", "predicate": "proves", "object": "kinetic helicity is one of the invariants of the euler equations that is associated with the topolog"}
{"subject": "math:arxiv_186757", "predicate": "proves", "object": "the exact ground state of four electrons in an arbitrary large two leg hubbard ladder is deduced fro"}
{"subject": "math:arxiv_186761", "predicate": "proves", "object": "a transition state for a hamiltonian system is a closed , invariant , oriented , codimension-2 subma"}
{"subject": "math:arxiv_186792", "predicate": "proves", "object": "in this paper we study anisotropic spherical polytropes within the framework of general relativity ."}
{"subject": "math:arxiv_186795", "predicate": "proves", "object": "in this paper we introduce probability - preserving convolution algebras on cones of positive semide"}
{"subject": "math:arxiv_186797", "predicate": "proves", "object": "we consider the solution @xmath0 to a stochastic heat equation . for fixed  @xmath1 , the process @x"}
{"subject": "math:arxiv_186805", "predicate": "proves", "object": "a theorem of donsker asserts that the empirical process converges in distribution to the brownian br"}
{"subject": "math:arxiv_186835", "predicate": "proves", "object": "least squares approximation is a technique to find an approximate solution to a system of linear equ"}
{"subject": "math:arxiv_186845", "predicate": "proves", "object": "recent observations of neutron star masses close to the maximum predicted by nucleonic equations of "}
{"subject": "math:arxiv_186860", "predicate": "proves", "object": "many students meet quite early this dipole - dipole potential energy when they are taught electrosta"}
{"subject": "math:arxiv_186893", "predicate": "proves", "object": "we study the power - law tails in the evolution of massless fields around a fixed background geometr"}
{"subject": "math:arxiv_186896", "predicate": "proves", "object": "symbolic equations are one of the many representations used in physics . \n understanding these repre"}
{"subject": "math:arxiv_186901", "predicate": "proves", "object": "the manin - mumford conjecture in characteristic zero was first proved by raynaud . \n later , hrusho"}
{"subject": "math:arxiv_186907", "predicate": "proves", "object": "conventionally while we talk about geometry associated with a simple harmonic oscillator(hereafter d"}
{"subject": "math:arxiv_186909", "predicate": "proves", "object": "a major open question in convex algebraic geometry is whether all hyperbolicity cones are spectrahed"}
{"subject": "math:arxiv_186911", "predicate": "proves", "object": "if @xmath0 is a tridiagonal matrix , then the equations @xmath1 and @xmath2 defining the inverse @xm"}
{"subject": "math:arxiv_186917", "predicate": "proves", "object": "formulae for the energies of degenerate non - relativistic and ultra - relativistic fermi gases play"}
{"subject": "math:arxiv_186934", "predicate": "proves", "object": "we use axioms of abstract ternary relations to define the notion of a _ \n free amalgamation theory_."}
{"subject": "math:arxiv_186942", "predicate": "proves", "object": "this paper describes the overlay protocol chord using the formalism of abstract state machines . \n t"}
{"subject": "math:arxiv_186947", "predicate": "proves", "object": "we study the asymptotic limit of the cahn - hilliard equation on an evolving surface with prescribed"}
{"subject": "math:arxiv_186958", "predicate": "proves", "object": "we present new results on the size of obdd representations of structurally characterized classes of "}
{"subject": "math:arxiv_186984", "predicate": "proves", "object": "we study the transition towards effective payoffs in the prisoner s dilemma game on scale - free net"}
{"subject": "math:arxiv_186992", "predicate": "proves", "object": "the spectrum of a massless bulk scalar field @xmath0 , with a possible interaction term of the form "}
{"subject": "math:arxiv_186997", "predicate": "proves", "object": "in this paper we give detailed construction of @xmath0-equivariant kuranishi chart of moduli spaces "}
{"subject": "math:arxiv_187013", "predicate": "proves", "object": "we calculate the linear response thermopower @xmath0 of a quantum point contact using the landauer f"}
{"subject": "math:arxiv_187032", "predicate": "proves", "object": "we describe here some new results concerning the lorentzian barrett - crane model , a well - known s"}
{"subject": "math:arxiv_187064", "predicate": "proves", "object": "a spacetime discontinuous petrov galerkin ( dpg ) method for the linear time - dependent schrdinger "}
{"subject": "math:arxiv_187073", "predicate": "proves", "object": "the fitzhugh - nagumo equation has been investigated with a wide array of different methods in the l"}
{"subject": "math:arxiv_187074", "predicate": "proves", "object": "in this paper we compute the corrections to the black body force due to spacetime geometry and topol"}
{"subject": "math:arxiv_187078", "predicate": "proves", "object": "in an earlier work [ s. a. cheong and c. l. henley , cond - mat/0206196 ( 2002 ) ] , we derived an e"}
{"subject": "math:arxiv_187082", "predicate": "proves", "object": "a new method is proposed to numerically integrate a dynamical system on a manifold such that the tra"}
{"subject": "math:arxiv_187084", "predicate": "proves", "object": "the mass gap equation for spontaneous chiral symmetry breaking is studied directly in minkowsky spac"}
{"subject": "math:arxiv_187094", "predicate": "proves", "object": "the pion - nucleon scattering is investigated by using several three - dimensional reduction schemes"}
{"subject": "math:arxiv_187096", "predicate": "proves", "object": "the 4pi effective action provides a a hierarchy of integral equations which have the form of bethe -"}
{"subject": "math:arxiv_187098", "predicate": "proves", "object": "combining direct computations with invariance arguments , taylor s constitutive equation for an emul"}
{"subject": "math:arxiv_187121", "predicate": "proves", "object": "after a historical introduction to poisson s equation for newtonian gravity , its analog for static "}
{"subject": "math:arxiv_187134", "predicate": "proves", "object": "we study the mathematical character of the angular moment equations of radiative transfer in spheric"}
{"subject": "math:arxiv_187135", "predicate": "proves", "object": "the spin - boson model , describing a two - level system coupled to a bath of harmonic oscillators ,"}
{"subject": "math:arxiv_187155", "predicate": "proves", "object": "we study the role played by multiply - connectedness in the time evolution of the energy @xmath0 of "}
{"subject": "math:arxiv_187156", "predicate": "proves", "object": "we study spherical quadrilaterals whose angles are odd multiples of @xmath0 , and the equivalent acc"}
{"subject": "math:arxiv_187161", "predicate": "proves", "object": "we present a unified theoretical study of the bright solitons governed by self - focusing and defocu"}
{"subject": "math:arxiv_187168", "predicate": "proves", "object": "in this paper we derive nonlinear evolution equations associated with a class of non - convex energy"}
{"subject": "math:arxiv_187176", "predicate": "proves", "object": "this monograph was developed to support a series of lectures at the institute of mathematics at the "}
{"subject": "math:arxiv_187199", "predicate": "proves", "object": "this talks examines the effect of angular ordering on the small-@xmath0 evolution of the unintegrate"}
{"subject": "math:arxiv_187208", "predicate": "proves", "object": "the casimir force between macroscopic bodies depends strongly on their shape and orientation . to st"}
{"subject": "math:arxiv_187220", "predicate": "proves", "object": "we give a geometric proof of the evaluation of the integral @xmath0 which is normally done using a r"}
{"subject": "math:arxiv_187222", "predicate": "proves", "object": "velocity relaxation of an elastic sphere immersed in a viscous incompressible fluid is studied on th"}
{"subject": "math:arxiv_187261", "predicate": "proves", "object": "we show that sheet closures appear as associated varieties of affine vertex algebras . \n we also pro"}
{"subject": "math:arxiv_187266", "predicate": "proves", "object": "in this paper we provide a simple proof of the fact that for a system of two spin-@xmath0 particles "}
{"subject": "math:arxiv_187272", "predicate": "proves", "object": "we analyze the semiclassical limit of spectral theory on manifolds whose metrics have jump - like di"}
{"subject": "math:arxiv_187281", "predicate": "proves", "object": "the liouville property of a complete riemannian manifold @xmath0 ( i.e. , the question whether there"}
{"subject": "math:arxiv_187287", "predicate": "proves", "object": "we study bifurcations in a spatially extended nonlinear system representing population dynamics with"}
{"subject": "math:arxiv_187288", "predicate": "proves", "object": "we formulate three famous , descriptive essays of c.n . \n parkinson on bureaucratic inefficiency in "}
{"subject": "math:arxiv_187297", "predicate": "proves", "object": "we obtain necessary and sufficient conditions for equivalence of law for linear stochastic evolution"}
{"subject": "math:arxiv_187308", "predicate": "proves", "object": "we use unpublished and published vlbi results to investigate the geometry and the statistical proper"}
{"subject": "math:arxiv_187318", "predicate": "proves", "object": "in this paper , based on the previous work [ b. shi , z. guo , lattice boltzmann model for nonlinear"}
{"subject": "math:arxiv_187319", "predicate": "proves", "object": "transport coefficients can be obtained from 2-point correlators using the kubo formulae . \n it has b"}
{"subject": "math:arxiv_187356", "predicate": "proves", "object": "spatially resolved studies of star forming regions show that the assumption of spherical geometry is"}
{"subject": "math:arxiv_187398", "predicate": "proves", "object": "motivated by problems of uncertainty propagation and robust estimation we are interested in computin"}
{"subject": "math:arxiv_187399", "predicate": "proves", "object": "we present an application of the linear scaling frozen density embedding ( fde ) formulation of subs"}
{"subject": "math:arxiv_187405", "predicate": "proves", "object": "the @xmath0-dimensional fomin - kirillov algebra @xmath1 is defined as the quadratic algebra with ge"}
{"subject": "math:arxiv_187413", "predicate": "proves", "object": "the scattering of two hadronic objects at high energy is similar to a reaction - diffusion process d"}
{"subject": "math:arxiv_187426", "predicate": "proves", "object": "relativistic dissipative hydrodynamic equations are extended by taking into account particle number "}
{"subject": "math:arxiv_187442", "predicate": "proves", "object": "we present some explicit constructions of universal @xmath0-trees with applications to the asymptoti"}
{"subject": "math:arxiv_187462", "predicate": "proves", "object": "the florides solution , proposed as an alternative to the interior schwarzschild solution , represen"}
{"subject": "math:arxiv_187480", "predicate": "proves", "object": "a new exact renormalization group equation for the effective average action of euclidean quantum gra"}
{"subject": "math:arxiv_187483", "predicate": "proves", "object": "from the hamilton - jacobi - bellman equation for the value function we derive a non - linear partia"}
{"subject": "math:arxiv_187491", "predicate": "proves", "object": "we establish a simple relation between curvatures of the group of volume - preserving diffeomorphism"}
{"subject": "math:arxiv_187497", "predicate": "proves", "object": "we consider stationary matter - wave gap solitons realized in bose \n einstein condensates loaded in "}
{"subject": "math:arxiv_187500", "predicate": "proves", "object": "employing a time - dependent mean - field - hydrodynamic model we study the generation of black soli"}
{"subject": "math:arxiv_187517", "predicate": "proves", "object": "the gap equation for fermions in a version of thermal @xmath0 in three dimensions is studied numeric"}
{"subject": "math:arxiv_187526", "predicate": "proves", "object": "a stochastic representation for the solutions of the poisson - vlasov equation is obtained . \n the r"}
{"subject": "math:arxiv_187535", "predicate": "proves", "object": "we present an unexpected application of tropical convexity to the determination of invariants for li"}
{"subject": "math:arxiv_187546", "predicate": "proves", "object": "the purpose of this paper is to give an explicit formula for the number of non - isomorphic cluster "}
{"subject": "math:arxiv_187550", "predicate": "proves", "object": "as shown by h. gluck in 1962 , the diffeotopy group of @xmath0 is isomorphic to @xmath1 . here \n an "}
{"subject": "math:arxiv_187557", "predicate": "proves", "object": "it has been proven that the lozenge tilings of a quartered hexagon on the triangular lattice are enu"}
{"subject": "math:arxiv_187564", "predicate": "proves", "object": "we study complex 4-manifolds with holomorphic self - dual conformal structures , and we obtain an in"}
{"subject": "math:arxiv_187567", "predicate": "proves", "object": "in this article , we consider inverse problems of determining a source term and a coefficient of a f"}
{"subject": "math:arxiv_187571", "predicate": "proves", "object": "we present a bijective proof of the hook - length formula for shifted standard tableaux of a fixed s"}
{"subject": "math:arxiv_187575", "predicate": "proves", "object": "there are similarities between algebraic lie theory and a geometric description of the blocks of the"}
{"subject": "math:arxiv_187581", "predicate": "proves", "object": "introducing a new vertex function , @xmath0 , of an energy variable @xmath1 , we derive a new equati"}
{"subject": "math:arxiv_187625", "predicate": "proves", "object": "solution for a stationary spherically symmetric accretion of the relativistic perfect fluid with an "}
{"subject": "math:arxiv_187627", "predicate": "proves", "object": "we investigate the dynamics of entanglement given by the concurrence of a two - qubit system in the "}
{"subject": "math:arxiv_187636", "predicate": "proves", "object": "a new approach to approximate the kinetic - energy - functional dependent component ( @xmath0(\\vec{r"}
{"subject": "math:arxiv_187642", "predicate": "proves", "object": "in this paper we propose and analyze a method based on the riccati transformation for solving the ev"}
{"subject": "math:arxiv_187644", "predicate": "proves", "object": "cooperative effects of periodic force and noise in globally coupled systems are studied using a nonl"}
{"subject": "math:arxiv_187646", "predicate": "proves", "object": "in this paper , we generalize the construction method of schemes to other algebraic categories , and"}
{"subject": "math:arxiv_187653", "predicate": "proves", "object": "we employ a time - dependent mean - field - hydrodynamic model to study the generation of bright sol"}
{"subject": "math:arxiv_187655", "predicate": "proves", "object": "we study the existence of stable axially and spherically symmetric plasma structures on the basis of"}
{"subject": "math:arxiv_187672", "predicate": "proves", "object": "this work presents an implementation of the _ resistive mhd _ equations for a generic algebraic ohm "}
{"subject": "math:arxiv_187685", "predicate": "proves", "object": "in this paper we study the ( equivariant ) topological types of a class of 3-dimensional closed mani"}
{"subject": "math:arxiv_187688", "predicate": "proves", "object": "we present a new , short , self - contained proof of localization properties of multi - dimensional "}
{"subject": "math:arxiv_187690", "predicate": "proves", "object": "we show that the bernstein - hoeffding method can be employed to a larger class of generalized momen"}
{"subject": "math:arxiv_187703", "predicate": "proves", "object": "the selection of basic variables in current - density functional theory and formal properties of the"}
{"subject": "math:arxiv_187707", "predicate": "proves", "object": "we study the dispersive properties of the wave equation associated with the shifted laplace  beltram"}
{"subject": "math:arxiv_187709", "predicate": "proves", "object": "an improved formulation of the `` smoothed profile '' method is introduced to perform direct numeric"}
{"subject": "math:arxiv_187726", "predicate": "proves", "object": "we study the formation of protein - protein encounter complexes with a langevin equation approach th"}
{"subject": "math:arxiv_187729", "predicate": "proves", "object": "we present determinant expressions for vector rogue wave solutions of the manakov system , a two - c"}
{"subject": "math:arxiv_187735", "predicate": "proves", "object": "choose @xmath0 random , independent points in @xmath1 according to a fixed distribution . \n the conv"}
{"subject": "math:arxiv_187784", "predicate": "proves", "object": "the o(@xmath0 ) spin model in two dimensions may equivalently be formulated as a loop model , and th"}
{"subject": "math:arxiv_187786", "predicate": "proves", "object": "we derive a formula for the halo / galaxy bispectrum on the basis of the integrated perturbation the"}
{"subject": "math:arxiv_187793", "predicate": "proves", "object": "the pattern speeds of ngc 3031 , ngc 2366 , and ddo 154 are measured using a solution of the tremain"}
{"subject": "math:arxiv_187794", "predicate": "proves", "object": "the hurwitz problem of composition of quadratic forms , or of `` sum of squares identity '' is tackl"}
{"subject": "math:arxiv_187813", "predicate": "proves", "object": "we show that a stationary solution of the einstein  maxwell equations which is close to a non - dege"}
{"subject": "math:arxiv_187816", "predicate": "proves", "object": "when solving linear stochastic differential equations numerically , usually a high order spatial dis"}
{"subject": "math:arxiv_187842", "predicate": "proves", "object": "this paper is concerned with variational methods for nonlinear open quantum systems with markovian d"}
{"subject": "math:arxiv_187850", "predicate": "proves", "object": "starting from the dipole representation of small-@xmath0 evolution we implement the running of the c"}
{"subject": "math:arxiv_187858", "predicate": "proves", "object": "the fisher - rao metric from information geometry is related to phase transition phenomena in classi"}
{"subject": "math:arxiv_187872", "predicate": "proves", "object": "in this paper , we study the initial boundary value problem for nonlinear schrdinger equations on th"}
{"subject": "math:arxiv_187873", "predicate": "proves", "object": "some solutions of the maxwell equations with dirac particles for the source in frw spacetime are dis"}
{"subject": "math:arxiv_187876", "predicate": "proves", "object": "in this paper we introduce a new way of displacing lagrangian fibers in toric symplectic manifolds ,"}
{"subject": "math:arxiv_187884", "predicate": "proves", "object": "the aim of this paper is to provide new results and insights for a screw dislocation in functionally"}
{"subject": "math:arxiv_187889", "predicate": "proves", "object": "we update cosmological bound on axion model . the contribution from the anharmonic effect and the ne"}
{"subject": "math:arxiv_187893", "predicate": "proves", "object": "in this paper we prove some vanishing theorems for the twisted dolbeault cohomology of the complete "}
{"subject": "math:arxiv_187915", "predicate": "proves", "object": "0.75 cm the controversial problem of the evolution of an isolated system with an internal adiabatic "}
{"subject": "math:arxiv_187922", "predicate": "proves", "object": "we apply the low - energy theorems to analyze the recent lattice qcd results for the two - nucleon s"}
{"subject": "math:arxiv_187941", "predicate": "proves", "object": "in this article , we study the finite temperature casimir effect for scalar field with robin boundar"}
{"subject": "math:arxiv_187955", "predicate": "proves", "object": "recent measurements of the josephson critical current through lsco / lco / lsco thin films showed an"}
{"subject": "math:arxiv_187958", "predicate": "proves", "object": "open charm production during the equilibration of a gluon dominated parton plasma is calculated , wi"}
{"subject": "math:arxiv_187974", "predicate": "proves", "object": "in the landmark paper  @xcite by hassibi and hochwald , it is claimed without proof that the upper t"}
{"subject": "math:arxiv_187992", "predicate": "proves", "object": "dyson - schwinger equations determine the green functions @xmath0 in quantum field theory . \n their "}
{"subject": "math:arxiv_187996", "predicate": "proves", "object": "we examine models in which the dark energy density increases with time ( so that the equation - of -"}
{"subject": "math:arxiv_188028", "predicate": "proves", "object": "a symplectic integrator algorithm suitable for hierarchical triple systems is formulated and tested "}
{"subject": "math:arxiv_188030", "predicate": "proves", "object": "the spectral dimension is an indicator of geometry and topology of spacetime and a tool to compare t"}
{"subject": "math:arxiv_188035", "predicate": "proves", "object": "we explore short - distance static correlation functions in the infinite xxz chain using previously "}
{"subject": "math:arxiv_188039", "predicate": "proves", "object": "this paper presents a geometric - variational approach to continuous and discrete mechanics and fiel"}
{"subject": "math:arxiv_188063", "predicate": "proves", "object": "we revisit the critical behavior of classical frustrated systems using the nonperturbative renormali"}
{"subject": "math:arxiv_188073", "predicate": "proves", "object": "fano s inequality reveals the relation between the conditional entropy and the probability of error "}
{"subject": "math:arxiv_188096", "predicate": "proves", "object": "we consider the logistic equation with different types of the piecewise constant argument . \n it is "}
{"subject": "math:arxiv_188099", "predicate": "proves", "object": "the effects of quantum and thermal corrections on the dynamics of a damped nonlinearly kicked harmon"}
{"subject": "math:arxiv_188105", "predicate": "proves", "object": "we propose a novel encoding scheme for algebraic codes such as codes on algebraic curves , multidime"}
{"subject": "math:arxiv_188107", "predicate": "proves", "object": "we consider the incompressible euler or navier - stokes ( ns ) equations on a torus @xmath0 , in the"}
{"subject": "math:arxiv_188129", "predicate": "proves", "object": "we define a heegaard - scharlemann - thompson ( hst ) splitting of a 3-manifold @xmath0 to be a sequ"}
{"subject": "math:arxiv_188131", "predicate": "proves", "object": "the significance of the recent finding of the velocity distribution function of the steady - state b"}
{"subject": "math:arxiv_188138", "predicate": "proves", "object": "our previous study of a system of bodies assumed to move along almost circular orbits around a centr"}
{"subject": "math:arxiv_188147", "predicate": "proves", "object": "we consider a cosmological model based on a generalization of the equation of state proposed by noji"}
{"subject": "math:arxiv_188169", "predicate": "proves", "object": "the time - dependent maxwell system describing electromagnetic wave propagation in inhomogeneous iso"}
{"subject": "math:arxiv_188173", "predicate": "proves", "object": "we observe that the maximal open set of constant curvature @xmath0 in a riemannian manifold of curva"}
{"subject": "math:arxiv_188201", "predicate": "proves", "object": "we present a unifying framework for the key concepts and results of higher koszul duality theory for"}
{"subject": "math:arxiv_188205", "predicate": "proves", "object": "in this paper , we first review the equal area laws and clapeyron equations in the extended phase sp"}
{"subject": "math:arxiv_188206", "predicate": "proves", "object": "we develop a construction of engel structures on @xmath0manifolds based on decompositions of manifol"}
{"subject": "math:arxiv_188212", "predicate": "proves", "object": "we investigate vortex solutions to the abelian higgs field equations in a four dimensional de sitter"}
{"subject": "math:arxiv_188237", "predicate": "proves", "object": "the dynamics of a universe with an anti - gravitating contribution to the matter content is examined"}
{"subject": "math:arxiv_188269", "predicate": "proves", "object": "phase field equations describe the novel approach to the stefan problems . \n we calculate these equa"}
{"subject": "math:arxiv_188277", "predicate": "proves", "object": "we provide new exact solutions to the einstein - maxwell system of equations which are physically re"}
{"subject": "math:arxiv_188279", "predicate": "proves", "object": "we derive bounds on the regularity of the algebra @xmath0 of mixed splines over a central polytopal "}
{"subject": "math:arxiv_188285", "predicate": "proves", "object": "applying the standard weighted mean formula , @xmath0 / \\left[\\sum_i { \\sigma^{-2}_i}\\right ] $ ] , "}
{"subject": "math:arxiv_188297", "predicate": "proves", "object": "the kochen - specker theorem proves the inability to assign , simultaneously , noncontextual definit"}
{"subject": "math:arxiv_188302", "predicate": "proves", "object": "this article describes a new , fully adaptive particle - multiple - mesh ( pm@xmath0 ) numerical sim"}
{"subject": "math:arxiv_188305", "predicate": "proves", "object": "the time evolution of a set of @xmath0 unstable charged stars that collapse is computed integrating "}
{"subject": "math:arxiv_188314", "predicate": "proves", "object": "we show that maximal @xmath0-free convex sets are polyhedra when @xmath0 is the set of integral poin"}
{"subject": "math:arxiv_188315", "predicate": "proves", "object": "we prove a cabling formula for the concordance invariant @xmath0 , defined by the author and hom in "}
{"subject": "math:arxiv_188320", "predicate": "proves", "object": "we study the effect of an electrostatic coupling between a scanning tunneling microscope tip and a l"}
{"subject": "math:arxiv_188327", "predicate": "proves", "object": "outer boundary conditions for strongly and symmetric hyperbolic formulations of @xmath0d einstein s "}
{"subject": "math:arxiv_188345", "predicate": "proves", "object": "we consider the numerical simulation of hamiltonian systems of ordinary differential equations . \n t"}
{"subject": "math:arxiv_188365", "predicate": "proves", "object": "this paper presents a method to analyze the powers of a given trilinear form ( a special kind of alg"}
{"subject": "math:arxiv_188367", "predicate": "proves", "object": "consider a hamiltonian action of a compact connected lie group @xmath0 on an aspherical symplectic m"}
{"subject": "math:arxiv_188381", "predicate": "proves", "object": "it is well - known that the existence of traveling wave solutions for reaction - diffusion partial d"}
{"subject": "math:arxiv_188401", "predicate": "proves", "object": "tutte s 5-flow conjecture from 1954 states that every bridgeless graph has a nowhere - zero 5-flow ."}
{"subject": "math:arxiv_188451", "predicate": "proves", "object": "an initial - value problem ( ivp ) for arbitrary small three - dimensional vorticity perturbations i"}
{"subject": "math:arxiv_188459", "predicate": "proves", "object": "we calculate the schiff moment of the nucleus @xmath0 , created by @xmath1nn vertices that are odd u"}
{"subject": "math:arxiv_188506", "predicate": "proves", "object": "in this paper we show that many snarks have shortest cycle covers of length @xmath0 for a constant @"}
{"subject": "math:arxiv_188518", "predicate": "proves", "object": "the scattering problem under the influence of the aharonov - bohm ( ab ) potential is reconsidered ."}
{"subject": "math:arxiv_188532", "predicate": "proves", "object": "the high - energy factorization and the associated b - jimwlk or bk evolution equations are presente"}
{"subject": "math:arxiv_188537", "predicate": "proves", "object": "we derive exact solitonic solutions of the one - dimensional time - dependent gross - pitaevskii equ"}
{"subject": "math:arxiv_188549", "predicate": "proves", "object": "we propose a formalism to analyze discrete stochastic processes with finite - state - level @xmath0 "}
{"subject": "math:arxiv_188560", "predicate": "proves", "object": "we have combined _ ab initio _ quantum chemistry calculations with a rate - equation formalism to an"}
{"subject": "math:arxiv_188580", "predicate": "proves", "object": "we partially resolve a conjecture of meeks on the asymptotic behavior of minimal surfaces in @xmath0"}
{"subject": "math:arxiv_188582", "predicate": "proves", "object": "in this paper , we give a classification of the 3-dimensional associative algebras over the complex "}
{"subject": "math:arxiv_188585", "predicate": "proves", "object": "let @xmath0 be a torus of dimension @xmath1 and @xmath2 a compact hamiltonian @xmath0-manifold with "}
{"subject": "math:arxiv_188588", "predicate": "proves", "object": "in this paper we consider the initial - boundary value problem for the time - dependent maxwell - sc"}
{"subject": "math:arxiv_188593", "predicate": "proves", "object": "it is shown that the euler system of hydrodynamic equations for inviscid barotropic fluid for densit"}
{"subject": "math:arxiv_188595", "predicate": "proves", "object": "in @xcite , jean taylor has proved a regularity theorem away from boundary for almgren almost minima"}
{"subject": "math:arxiv_188613", "predicate": "proves", "object": "we provide a classification of multiplicity - free inner tensor products of irreducible characters o"}
{"subject": "math:arxiv_188623", "predicate": "proves", "object": "we show that strong inelastic interactions between bosons in one dimension create a tonks - girardea"}
{"subject": "math:arxiv_188675", "predicate": "proves", "object": "in this paper we study the affine focal set , which is the bifurcation set of the affine distance to"}
{"subject": "math:arxiv_188680", "predicate": "proves", "object": "in this paper , we present results obtained from the measurements of radio emission at frequency of "}
{"subject": "math:arxiv_188682", "predicate": "proves", "object": "in a previous paper we have considered the regge - wheeler equation for fields of spin @xmath0 , 1 o"}
{"subject": "math:arxiv_188694", "predicate": "proves", "object": "the scalar wave equation in kasner spacetime is solved , first for a particular choice of kasner par"}
{"subject": "math:arxiv_188697", "predicate": "proves", "object": "it was claimed recently that a low order post - newtonian ( pn ) lagrangian formulation , which corr"}
{"subject": "math:arxiv_188701", "predicate": "proves", "object": "quantum turbulence is numerically studied by solving the gross - pitaevskii equation . introducing b"}
{"subject": "math:arxiv_188715", "predicate": "proves", "object": "we give a brief summary of algebraic aspects of string theory arising in the noncommutative geometry"}
{"subject": "math:arxiv_188723", "predicate": "proves", "object": "we consider the darboux transformation of the green functions of the regular boundary problem of the"}
{"subject": "math:arxiv_188729", "predicate": "proves", "object": "we present our numerical comparisons between the bssn formulation widely used in numerical relativit"}
{"subject": "math:arxiv_188738", "predicate": "proves", "object": "obtaining a `` snapshot '' of the internet topology remains an elusive task . \n existing active topo"}
{"subject": "math:arxiv_188739", "predicate": "proves", "object": "we review and discuss the role of diffeomorphism symmetry in quantum gravity models . \n such models "}
{"subject": "math:arxiv_188752", "predicate": "proves", "object": "the electrodynamic features of the multiband model are examined using the transverse equation of mot"}
{"subject": "math:arxiv_188763", "predicate": "proves", "object": "let @xmath0 be a khler manifold and @xmath1 its group of hamiltonian symplectomorphisms . \n the comp"}
{"subject": "math:arxiv_188770", "predicate": "proves", "object": "eberhard proved that for every sequence @xmath0 of non - negative integers satisfying euler s formul"}
{"subject": "math:arxiv_188780", "predicate": "proves", "object": "we seek multi - order exact solutions of a generalized shallow water wave equation along with those "}
{"subject": "math:arxiv_188786", "predicate": "proves", "object": "we present a simple exact analytical solution , using the weyl - titchmarsh - kodaira spectral theor"}
{"subject": "math:arxiv_188797", "predicate": "proves", "object": "a new formula for the effective quasistatic speed of sound @xmath0 in 2d and 3d periodic materials i"}
{"subject": "math:arxiv_188809", "predicate": "proves", "object": "we will study the least square estimator @xmath0 for the drift parameter @xmath1 of the fractional o"}
{"subject": "math:arxiv_188845", "predicate": "proves", "object": "we consider the quantum teichmller space of the punctured surface introduced by chekhov - fock - kas"}
{"subject": "math:arxiv_188878", "predicate": "proves", "object": "using series expansion based on the flow equation method we study the zero temperature properties of"}
{"subject": "math:arxiv_188879", "predicate": "proves", "object": "we present a toy model of a generic five - dimensional warped geometry in which the 4d graviton is n"}
{"subject": "math:arxiv_188890", "predicate": "proves", "object": "we derived the formulae of central differentiation for the finding of the first and second derivativ"}
{"subject": "math:arxiv_188893", "predicate": "proves", "object": "we consider _ spacetime _ to be a 4-dimensional differentiable manifold that can be split locally in"}
{"subject": "math:arxiv_188935", "predicate": "proves", "object": "suspensions of self - propelled particles are studied in the framework of two - dimensional ( 2d ) s"}
{"subject": "math:arxiv_188960", "predicate": "proves", "object": "in euclidean geometry the circle of apollonious is the locus of points in the plane from which two c"}
{"subject": "math:arxiv_189019", "predicate": "proves", "object": "we review recent results on integrable discrete geometry . \n it turns out that most of the known ( c"}
{"subject": "math:arxiv_189030", "predicate": "proves", "object": "the coupled cubic nonlinear schrdinger ( cnls ) equations are used to study modulational instabiliti"}
{"subject": "math:arxiv_189037", "predicate": "proves", "object": "the shafarevich hyperbolicity conjecture , proven by arakelov and parshin , considers a smooth , pro"}
{"subject": "math:arxiv_189042", "predicate": "proves", "object": "the covariogram @xmath0 of a convex body @xmath1 in @xmath2 is the function which associates to each"}
{"subject": "math:arxiv_189047", "predicate": "proves", "object": "the equation of state ( eos ) @xmath0  pressure as a function of density and other thermodynamical q"}
{"subject": "math:arxiv_189049", "predicate": "proves", "object": "@xmath0-expansions of three - dimensional real lie algebras are considered . \n it is shown that the "}
{"subject": "math:arxiv_189064", "predicate": "proves", "object": "in this paper we study geometric , algebraic , and computational aspects of flexibility and infinite"}
{"subject": "math:arxiv_189078", "predicate": "proves", "object": "the spin-4/3 fractional superstring is characterized by a world - sheet chiral algebra involving spi"}
{"subject": "math:arxiv_189112", "predicate": "proves", "object": "maximum likelihood estimation in statistics leads to the problem of maximizing a product of powers o"}
{"subject": "math:arxiv_189131", "predicate": "proves", "object": "in this paper , we introduce a novel solution to the covariant landau equation for a pure electron p"}
{"subject": "math:arxiv_189132", "predicate": "proves", "object": "in the present work we study elliptic operators on manifolds with singularities in the situation , w"}
{"subject": "math:arxiv_189139", "predicate": "proves", "object": "prior to the parallel solution of a large linear system , it is required to perform a partitioning o"}
{"subject": "math:arxiv_189150", "predicate": "proves", "object": "we derive new , explicit representations for the solution to the scalar wave equation in the exterio"}
{"subject": "math:arxiv_189164", "predicate": "proves", "object": "an algebraic framework for quantization in presence of arbitrary number of point - like defects on t"}
{"subject": "math:arxiv_189168", "predicate": "proves", "object": "two - dimensional potential flows of an ideal fluid with a free surface are considered in situations"}
{"subject": "math:arxiv_189171", "predicate": "proves", "object": "in this work a combinatorial description is provided of a fa di bruno type hopf algebra which natura"}
{"subject": "math:arxiv_189178", "predicate": "proves", "object": "we study fluid structure and water - like anomalies of a system constituted by dimeric particles int"}
{"subject": "math:arxiv_189180", "predicate": "proves", "object": "transseries in the sense of calle are constructed using a topological approach . a general contracti"}
{"subject": "math:arxiv_189182", "predicate": "proves", "object": "we compare exact and @xmath0-cluster approximate calculation schemes to determine dynamics of the se"}
{"subject": "math:arxiv_189191", "predicate": "proves", "object": "a family of non - conjugate chaotic maps generalizing the well - known logistic function is defined "}
{"subject": "math:arxiv_189209", "predicate": "proves", "object": "classical dynamics is formulated as a hamiltonian flow on phase space , while quantum mechanics is f"}
{"subject": "math:arxiv_189214", "predicate": "proves", "object": "an accurate and systematic equation of state for the hard - core one - component plasma ( hcocp ) is"}
{"subject": "math:arxiv_189215", "predicate": "proves", "object": "we study the effect of absorptive corrections due to parton recombination on the parton distribution"}
{"subject": "math:arxiv_189216", "predicate": "proves", "object": "kubo formula is used to get the scaling behavior of the static conductance distribution of wide wire"}
{"subject": "math:arxiv_189226", "predicate": "proves", "object": "a detailed study of the slow manifold of a model exhibiting mixed - mode oscillations is presented ."}
{"subject": "math:arxiv_189234", "predicate": "proves", "object": "asymptotic analysis of the hele - shaw flow with a small moving obstacle is performed . \n the method"}
{"subject": "math:arxiv_189236", "predicate": "proves", "object": "a gravitational theory is formulated by considering the physical processes underlying relativistic d"}
{"subject": "math:arxiv_189245", "predicate": "proves", "object": "we derive the second - order dissipative relativistic hydrodynamic equations in a generic frame with"}
{"subject": "math:arxiv_189247", "predicate": "proves", "object": "we formulate a simple model for a gas of extended hadrons at zero chemical potential by taking inspi"}
{"subject": "math:arxiv_189262", "predicate": "proves", "object": "we develop a new extended version of the mode - coupling theory ( mct ) for glass transition , which"}
{"subject": "math:arxiv_189267", "predicate": "proves", "object": "let @xmath0 be a regular local ring with prime ideals @xmath1 and @xmath2 such that @xmath3 and @xma"}
{"subject": "math:arxiv_189273", "predicate": "proves", "object": "the hirota equation and the sasa - satsuma equation are @xmath0-invariant integrable generalizations"}
{"subject": "math:arxiv_189301", "predicate": "proves", "object": "we propose a novel method for calculating resonances in three - body coulombic systems . \n the metho"}
{"subject": "math:arxiv_189329", "predicate": "proves", "object": "we construct the biharmonic heat kernel of a suitable closed self - adjoint extension of the bi - la"}
{"subject": "math:arxiv_189338", "predicate": "proves", "object": "it is observed that one of einstein - friedmann s equations has formally the aspect of a sturm - lio"}
{"subject": "math:arxiv_189351", "predicate": "proves", "object": "we classify singular fibres over general points of the discriminant locus of projective complex lagr"}
{"subject": "math:arxiv_189360", "predicate": "proves", "object": "we present a survey of macroscopic excitations of harmonically confined bose - einstein condensates "}
{"subject": "math:arxiv_189366", "predicate": "proves", "object": "we consider holographic entanglement entropy in higher derivative gravity theories . recently \n lewk"}
{"subject": "math:arxiv_189374", "predicate": "proves", "object": "the loop quantum cosmology of the bianchi type ii string cosmological model in the presence of a hom"}
{"subject": "math:arxiv_189390", "predicate": "proves", "object": "this paper presents a simple model that mimics quantum mechanics ( qm ) results in terms of probabil"}
{"subject": "math:arxiv_189394", "predicate": "proves", "object": "this paper gives a complete description of the solutions of the one dimensional ginzburg - landau eq"}
{"subject": "math:arxiv_189415", "predicate": "proves", "object": "we show that linearly reinforced random walk has a recurrent phase in every graph . \n the proof does"}
{"subject": "math:arxiv_189433", "predicate": "proves", "object": "in a lattice formulation of @xmath0-gluodynamics , the spontaneous generation of chromomagnetic fiel"}
{"subject": "math:arxiv_189440", "predicate": "proves", "object": "in this paper , we show existence and uniqueness of a solution to a functional differential equation"}
{"subject": "math:arxiv_189444", "predicate": "proves", "object": "we study perturbations of diffeomorphisms that have a saddle connection between a pair of normally h"}
{"subject": "math:arxiv_189467", "predicate": "proves", "object": "in this paper , we study the quasi - local energy ( qle ) and the surface geometry for kerr spacetim"}
{"subject": "math:arxiv_189496", "predicate": "proves", "object": "in 2004 , sormani and wei introduced the covering spectrum : a geometric invariant that isolates par"}
{"subject": "math:arxiv_189501", "predicate": "proves", "object": "a combined effective model reproducing the equation of state of hadronic matter as obtained in recen"}
{"subject": "math:arxiv_189505", "predicate": "proves", "object": "a non - abelian geometric method is proposed for rotating of heavy hole spins in a singly positive c"}
{"subject": "math:arxiv_189508", "predicate": "proves", "object": "we introduce the notions of approximate connes - amenability and approximate strong connes - amenabi"}
{"subject": "math:arxiv_189510", "predicate": "proves", "object": "using the scalar and tensor virial equations , the lane - emden equation expressing the hydrostatic "}
{"subject": "math:arxiv_189513", "predicate": "proves", "object": "not any geometry can be axiomatized . \n the paradoxical godel s theorem starts from the supposition "}
{"subject": "math:arxiv_189539", "predicate": "proves", "object": "a monte carlo simulation has been developed to predict the spatial resolution of silicon pixel detec"}
{"subject": "math:arxiv_189551", "predicate": "proves", "object": "we explain how the action of the heisenberg algebra on the space of @xmath0-deformed wedges yields t"}
{"subject": "math:arxiv_189554", "predicate": "proves", "object": "results of numerical 3d simulations of propagation of acoustic waves inside the sun are presented . "}
{"subject": "math:arxiv_189562", "predicate": "proves", "object": "the non - crossing rule for the energy levels of a parameter - dependent hamiltonian is revisited an"}
{"subject": "math:arxiv_189565", "predicate": "proves", "object": "we obtain a partial differential equation for a pulse travelling inside a bose - einstein condensate"}
{"subject": "math:arxiv_189567", "predicate": "proves", "object": "a well - known consequence of the ergodic decomposition theorem is that the space of invariant proba"}
{"subject": "math:arxiv_189570", "predicate": "proves", "object": "dilute multi @xmath0 cluster condensed states with spherical and axially deformed shapes are studied"}
{"subject": "math:arxiv_189575", "predicate": "proves", "object": "here we formulate scenario of emergent universe from particle creation mechanism in spatially flat b"}
{"subject": "math:arxiv_189577", "predicate": "proves", "object": "we investigate kinetically constrained models of glassy transitions , and determine which model char"}
{"subject": "math:arxiv_189589", "predicate": "proves", "object": "we introduce a general algebraic setting for describing linear boundary problems in a symbolic compu"}
{"subject": "math:arxiv_189594", "predicate": "proves", "object": "we present a general model of qubit dynamics which entails pure dephasing and dissipative time - loc"}
{"subject": "math:arxiv_189607", "predicate": "proves", "object": "we investigate the behaviour of a two - component fermi superfluid in a double - well potential . \n "}
{"subject": "math:arxiv_189614", "predicate": "proves", "object": "we study the interplay between double cross sum decompositions of a given lie algebra and classical "}
{"subject": "math:arxiv_189617", "predicate": "proves", "object": "nonequilibrium systems exchange the energy with an environment in the form of work and heat . \n the "}
{"subject": "math:arxiv_189621", "predicate": "proves", "object": "we propose a mechanism for time reparametrization symmetry breaking in canonical gravity . \n we cons"}
{"subject": "math:arxiv_189626", "predicate": "proves", "object": "the existence of an internal frequency associated to any elementary particle conjectured by de brogl"}
{"subject": "math:arxiv_189632", "predicate": "proves", "object": "the main result of this paper is a universal finiteness theorem for the set of all small dilatation "}
{"subject": "math:arxiv_189635", "predicate": "proves", "object": "we do not present any original or new material . \n this is a tutorial addressed to students who need"}
{"subject": "math:arxiv_189642", "predicate": "proves", "object": "the strongest version of the gauge / gravity duality conjecture relates the @xmath0 correction in su"}
{"subject": "math:arxiv_189643", "predicate": "proves", "object": "in 2008 , lomonaco and kauffman introduced a knot mosaic system to define a quantum knot system . \n "}
{"subject": "math:arxiv_189655", "predicate": "proves", "object": "we present here a calculation of the configuration averaged optical conductivity of random binary al"}
{"subject": "math:arxiv_189659", "predicate": "proves", "object": "we study nonequilibrium quantum phase transitions in xy spin 1/2 chain using the @xmath0 algebra . \n"}
{"subject": "math:arxiv_189665", "predicate": "proves", "object": "we present here a general iterative formula which gives a ( formal ) series expansion for the time a"}
{"subject": "math:arxiv_189667", "predicate": "proves", "object": "we present a generic condition for lorentzian manifolds to have a barrier that limits the reach of b"}
{"subject": "math:arxiv_189683", "predicate": "proves", "object": "we give a new combinatorial proof of the well known result that , when @xmath0 and @xmath1 are co - "}
{"subject": "math:arxiv_189688", "predicate": "proves", "object": "we consider two lax systems for the homogeneous painlev  ii equation : one of size @xmath0 studied b"}
{"subject": "math:arxiv_189700", "predicate": "proves", "object": "we have formulated the scattering theory on majorana fermions emerging in the surface bound state of"}
{"subject": "math:arxiv_189713", "predicate": "proves", "object": "we develop a linear method for solving the nonlinear differential equations of a lumped - parameter "}
{"subject": "math:arxiv_189741", "predicate": "proves", "object": "the isospin and strangeness dimensions of the equation of state are explored . \n ria and the sis200 "}
{"subject": "math:arxiv_189742", "predicate": "proves", "object": "in the paper `` _ geometry of polynomial mapping at infinity via intersection homology _ '' the seco"}
{"subject": "math:arxiv_189748", "predicate": "proves", "object": "roy s equations , which incorporate crossing symmetry of the @xmath0 scattering amplitudes , are use"}
{"subject": "math:arxiv_189774", "predicate": "proves", "object": "analytical formulas for the excitation energies as well as for the electric quadrupole reduced trans"}
{"subject": "math:arxiv_189815", "predicate": "proves", "object": "in the spherically symmetric case the einstein field equations take on their simplest form for a mat"}
{"subject": "math:arxiv_189824", "predicate": "proves", "object": "the concept of an inertial reference frame , which actualizes euclidean geometry , is not confined t"}
{"subject": "math:arxiv_189827", "predicate": "proves", "object": "the random first order transition theory of the dynamics of supercooled liquids is extended to treat"}
{"subject": "math:arxiv_189833", "predicate": "proves", "object": "narrow resonances in systems with short - range interactions are discussed in an effective field the"}
{"subject": "math:arxiv_189836", "predicate": "proves", "object": "the division algebras @xmath0 , @xmath1 , * h*@xmath2 are used to construct and analyze the @xmath3 "}
{"subject": "math:arxiv_189917", "predicate": "proves", "object": "the rheology of granular particles in an inclined plane geometry is studied using molecular dynamics"}
{"subject": "math:arxiv_189921", "predicate": "proves", "object": "self - dual abelian higgs system , involving both the maxwell and chern - simons terms are obtained "}
{"subject": "math:arxiv_189925", "predicate": "proves", "object": "in this work we study the asymptotic behavior of solutions of the incompressible two - dimensional e"}
{"subject": "math:arxiv_189929", "predicate": "proves", "object": "we apply the poynting theorem to the scattering of monochromatic electromagnetic planes waves with n"}
{"subject": "math:arxiv_189959", "predicate": "proves", "object": "we construct explicit families of right coideal subalgebras of quantum groups , where all irreducibl"}
{"subject": "math:arxiv_189961", "predicate": "proves", "object": "we study cosmological expansion in f(r ) gravity using the trace of the field equations . \n high fre"}
{"subject": "math:arxiv_189965", "predicate": "proves", "object": "analytical solutions of the schrdinger equation for the one - dimensional quantum well with all poss"}
{"subject": "math:arxiv_189990", "predicate": "proves", "object": "a closed subgroup @xmath0 of the affine , algebraic group @xmath1 is called _ observable _ if @xmath"}
{"subject": "math:arxiv_189992", "predicate": "proves", "object": "this paper is devoted to the extension to the full @xmath0 euler system of the basic analytical prop"}
{"subject": "math:arxiv_190003", "predicate": "proves", "object": "we perform global three - dimensional simulations of accretion disks integrating the compressible , "}
{"subject": "math:arxiv_190007", "predicate": "proves", "object": "we extend the notion of thin multiple heegaard splittings of a link in a 3-manifold to take into con"}
{"subject": "math:arxiv_190029", "predicate": "proves", "object": "we introduce suitable coordinate systems for interacting many - body systems with invariant manifold"}
{"subject": "math:arxiv_190035", "predicate": "proves", "object": "we give a combinatorial algorithm for computing zelevinsky s involution of the set of isomorphism cl"}
{"subject": "math:arxiv_190040", "predicate": "proves", "object": "we study propagation of electromagnetic surface waves on a metal - air interface in the case when th"}
{"subject": "math:arxiv_190041", "predicate": "proves", "object": "we study some classes of algebras of operators on non - archimedean banach spaces . in particular , "}
{"subject": "math:arxiv_190043", "predicate": "proves", "object": "heavy - ion reactions especially those induced by radioactive beams provide useful information about"}
{"subject": "math:arxiv_190047", "predicate": "proves", "object": "a new quantum gauge model is proposed . from this quantum gauge model \n we derive a quantum invarian"}
{"subject": "math:arxiv_190051", "predicate": "proves", "object": "we study edges states of graphene ribbons in the quantized hall regime , and show that they can be d"}
{"subject": "math:arxiv_190059", "predicate": "proves", "object": "we study dirac neutrinos propagating in rotating background matter . \n first we derive the dirac equ"}
{"subject": "math:arxiv_190066", "predicate": "proves", "object": "we introduce a notion of vanishing maslov index for lagrangian varifolds and lagrangian integral cyc"}
{"subject": "math:arxiv_190089", "predicate": "proves", "object": "the relations between smooth and peaked soliton solutions are reviewed for the camassa - holm ( ch )"}
{"subject": "math:arxiv_190116", "predicate": "proves", "object": "for two types of quintessence models having thawing and tracking properties , there exist analytic s"}
{"subject": "math:arxiv_190118", "predicate": "proves", "object": "we study in more detail the properties of the generalized beth uhlenbeck formula obtained in a prece"}
{"subject": "math:arxiv_190127", "predicate": "proves", "object": "we develop a non  relativistic twistor theory , in which newton \n cartan structures of newtonian gra"}
{"subject": "math:arxiv_190142", "predicate": "proves", "object": "the nonlinear systems obtained by discretizing degenerate parabolic equations may be hard to solve ,"}
{"subject": "math:arxiv_190144", "predicate": "proves", "object": "using the explicit numerical solution of the axially - symmetric gross - pitaevskii equation we stud"}
{"subject": "math:arxiv_190152", "predicate": "proves", "object": "we develop a scaling ansatz for the master equation in dvali , gabadadze , porrati cosmologies , whi"}
{"subject": "math:arxiv_190173", "predicate": "proves", "object": "we apply a recent approach to noncommutative differential geometry on finite groups to the case of f"}
{"subject": "math:arxiv_190203", "predicate": "proves", "object": "in this work we extend the so - called typicality approach , originally formulated in statistical me"}
{"subject": "math:arxiv_190214", "predicate": "proves", "object": "this paper focuses on the outline of some computational methods for the approximate solution of the "}
{"subject": "math:arxiv_190224", "predicate": "proves", "object": "we propose a conjecture for the exact expression of the dynamical zeta function for a family of bira"}
{"subject": "math:arxiv_190228", "predicate": "proves", "object": "let @xmath0 be an acyclic quiver and @xmath1 be the complete preprojective algebra of @xmath0 over a"}
{"subject": "math:arxiv_190232", "predicate": "proves", "object": "let @xmath0 be a monotone convex symplectic manifold . \n we define and study the open - closed strin"}
{"subject": "math:arxiv_190243", "predicate": "proves", "object": "the main result of this paper is that for every closed , connected , orientable , irreducible 3-mani"}
{"subject": "math:arxiv_190264", "predicate": "proves", "object": "conical inclusions in a lipid bilayer generate an overall spontaneous curvature of the membrane that"}
{"subject": "math:arxiv_190266", "predicate": "proves", "object": "using a quantum field theory renormalization group - like differential equation , we give a new proo"}
{"subject": "math:arxiv_190271", "predicate": "proves", "object": "in this note we extend the gauss - lucas theorem on the zeros of the derivative of a univariate poly"}
{"subject": "math:arxiv_190279", "predicate": "proves", "object": "in this theoretical study , we report an investigation of the equations of state ( eoss ) of hyper -"}
{"subject": "math:arxiv_190293", "predicate": "proves", "object": "the advent of the hohenberg - kohn theorem in 1964 , its extension to finite-@xmath0 , kohn - sham t"}
{"subject": "math:arxiv_190363", "predicate": "proves", "object": "_ we prove a vertical halfspace theorem for surfaces with constant mean curvature @xmath0 properly i"}
{"subject": "math:arxiv_190367", "predicate": "proves", "object": "the dyadic green s function of the inhomogeneous vector helmholtz equation describes the field patte"}
{"subject": "math:arxiv_190383", "predicate": "proves", "object": "as a generalization of a vector field on a manifold , the notion of an arc field on a locally comple"}
{"subject": "math:arxiv_190392", "predicate": "proves", "object": "the concept of complementarity in combination with a non - boolean calculus of propositions refers t"}
{"subject": "math:arxiv_190400", "predicate": "proves", "object": "initial conditions are required to solve medium modified dglap ( mdglap ) evolution equations for mo"}
{"subject": "math:arxiv_190406", "predicate": "proves", "object": "given a bounded open set @xmath0 in @xmath1 ( or in a riemannian manifold ) and a partition of @xmat"}
{"subject": "math:arxiv_190430", "predicate": "proves", "object": "according to the no - hair theorem , astrophysical black holes are uniquely described by their mass "}
{"subject": "math:arxiv_190431", "predicate": "proves", "object": "we study a scenario of the ellipsoidal universe in the brane world cosmology with a cosmological con"}
{"subject": "math:arxiv_190432", "predicate": "proves", "object": "we investigate the properties of hybrid stars consisting of quark matter in the core and hadron matt"}
{"subject": "math:arxiv_190435", "predicate": "proves", "object": "only recently , hurkens , keijsper , and stougie proved the vpn tree routing conjecture for the spec"}
{"subject": "math:arxiv_190446", "predicate": "proves", "object": "the distortion varieties of a given projective variety are parametrized by duplicating coordinates a"}
{"subject": "math:arxiv_190457", "predicate": "proves", "object": "we study low - energy transport through a quantum dot coupled to one normal and two superconducting "}
{"subject": "math:arxiv_190464", "predicate": "proves", "object": "introductory calculus  based physics textbooks state that electromagnetic waves are transverse and l"}
{"subject": "math:arxiv_190472", "predicate": "proves", "object": "we give a solution to a part of problem 1.60 in kirby s list of open problems in topology @xcite thu"}
{"subject": "math:arxiv_190481", "predicate": "proves", "object": "we formulate and give partial answers to several combinatorial problems on volumes of simplices dete"}
{"subject": "math:arxiv_190483", "predicate": "proves", "object": "we study adiabatic pumping through a quantum dot tunnel - coupled to one normal and one superconduct"}
{"subject": "math:arxiv_190505", "predicate": "proves", "object": "in these notes , after an introduction to toric khler geometry , we present calabi s family of @xmat"}
{"subject": "math:arxiv_190528", "predicate": "proves", "object": "we present the virial equation of state of low - density nuclear matter composed of neutrons , proto"}
{"subject": "math:arxiv_190533", "predicate": "proves", "object": "on the basis of the woodhouse causal axiomatics , we show that conformal proper times and an extra v"}
{"subject": "math:arxiv_190541", "predicate": "proves", "object": "a central problem in data analysis is the low dimensional representation of high dimensional data , "}
{"subject": "math:arxiv_190554", "predicate": "proves", "object": "congruence theory has many applications in physical , social , biological and technological systems "}
{"subject": "math:arxiv_190577", "predicate": "proves", "object": "in absence of explicit solutions of the perturbation equation of a static symmetrical homogeneous sp"}
{"subject": "math:arxiv_190584", "predicate": "proves", "object": "this paper answers the following question : what algebraic structure on a category corresponds to an"}
{"subject": "math:arxiv_190586", "predicate": "proves", "object": "we demonstrate the equivalence of the light - front and equal - time formulations of pionic correcti"}
{"subject": "math:arxiv_190597", "predicate": "proves", "object": "a canal surface is an envelope of a one parameter family of spheres . in this paper \n we present an "}
{"subject": "math:arxiv_190601", "predicate": "proves", "object": "using an energy variational method , we calculate quasi - equilibrium configurations of binary neutr"}
{"subject": "math:arxiv_190613", "predicate": "proves", "object": "we study constraint effective potentials for various strongly interacting @xmath0 theories . \n renor"}
{"subject": "math:arxiv_190618", "predicate": "proves", "object": "the temporal instability of stably stratified flow was investigated by analyzing the taylor - goldst"}
{"subject": "math:arxiv_190625", "predicate": "proves", "object": "quantum cosmology implies corrections to the classical equations of motion which may lead to signifi"}
{"subject": "math:arxiv_190630", "predicate": "proves", "object": "this note investigates the properties of the traveling waves solutions of the nonlocal fisher equati"}
{"subject": "math:arxiv_190683", "predicate": "proves", "object": "we give an exact solution to the kolmogorov equation describing genetic drift for an arbitrary numbe"}
{"subject": "math:arxiv_190689", "predicate": "proves", "object": "associated to any acyclic cluster algebra is a corresponding triangulated category known as the clus"}
{"subject": "math:arxiv_190699", "predicate": "proves", "object": "we consider a kerr black hole acting as a gravitational deflector within the geometrical optics , an"}
{"subject": "math:arxiv_190702", "predicate": "proves", "object": "we solve the elliptic equations associated with the hamiltonian and momentum constraints , correspon"}
{"subject": "math:arxiv_190744", "predicate": "proves", "object": "we consider large deviations for nearest - neighbor random walk in a uniformly elliptic i.i.d . \n en"}
{"subject": "math:arxiv_190761", "predicate": "proves", "object": "in this paper we describe an algorithm to determine the vectors normal to a space - time v@xmath0 em"}
{"subject": "math:arxiv_190778", "predicate": "proves", "object": "in this paper , we consider _ abelian functor calculus _ , the calculus of functors of abelian categ"}
{"subject": "math:arxiv_190789", "predicate": "proves", "object": "nonlinear random vibration under excitations of both gaussian and poisson white noises is considered"}
{"subject": "math:arxiv_190790", "predicate": "proves", "object": "let @xmath0 be a function that is analytic in the unit disc . \n we give new estimates , and new proo"}
{"subject": "math:arxiv_190805", "predicate": "proves", "object": "in the author s article `` algebraic unsolvability of problem of absolute stability of desynchronize"}
{"subject": "math:arxiv_190813", "predicate": "proves", "object": "static spherically symmetric distributions of electrically counterpoised dust ( ecd ) are used to co"}
{"subject": "math:arxiv_190814", "predicate": "proves", "object": "theoretical and experimental study of high - acceleration patterns in vibrated granular layers is pr"}
{"subject": "math:arxiv_190819", "predicate": "proves", "object": "the stability of idealized shear flow at long wavelengths is studied in detail . a hydrodynamic anal"}
{"subject": "math:arxiv_190826", "predicate": "proves", "object": "we introduce two sets of continuum equations to describe granular flow on a free surface and study t"}
{"subject": "math:arxiv_190832", "predicate": "proves", "object": "we present a simpler proof of the existence of an exact number of one or more limit cycles to the li"}
{"subject": "math:arxiv_190845", "predicate": "proves", "object": "the fully three dimensional governing equations in the electron magnetohydrodynamic ( emhd ) regime "}
{"subject": "math:arxiv_190849", "predicate": "proves", "object": "we solve explicitly the shifted wave equation @xmath0 on damek \n ricci spaces , using sgeirsson s th"}
{"subject": "math:arxiv_190851", "predicate": "proves", "object": "this paper studies the perturbations of the continuously self - similar critical solution of the gra"}
{"subject": "math:arxiv_190864", "predicate": "proves", "object": "we demonstrate that magnetic reconnection is not necessary to initiate fast cmes . \n the aly - sturr"}
{"subject": "math:arxiv_190865", "predicate": "proves", "object": "we prove a version of the negative norm theorem in orlicz - sobolev spaces . \n a study of continuity"}
{"subject": "math:arxiv_190867", "predicate": "proves", "object": "we present a new numerical code designed to solve the einstein field equations for axisymmetric spac"}
{"subject": "math:arxiv_190875", "predicate": "proves", "object": "a parametrisation of the real photon structure function @xmath0 in the low @xmath1 , low @xmath2 reg"}
{"subject": "math:arxiv_190879", "predicate": "proves", "object": "the characterization of dark energy is a central task of cosmology . to go beyond a cosmological con"}
{"subject": "math:arxiv_190883", "predicate": "proves", "object": "we give a detailed discussion of optimal quantum states for optical two - mode interferometry in the"}
{"subject": "math:arxiv_190902", "predicate": "proves", "object": "we consider symplectic time integrators in numerical general relativity and discuss both free and co"}
{"subject": "math:arxiv_190907", "predicate": "proves", "object": "using the quasi - exact density - matrix renormalization - group method we calculate the solvation f"}
{"subject": "math:arxiv_190941", "predicate": "proves", "object": "we evaluate the geiss - leclerc - schrer @xmath0-map for _ shape modules _ over the preprojective al"}
{"subject": "math:arxiv_190946", "predicate": "proves", "object": "many nonlinear systems can be described by a wiener - schetzen model . in this model , \n the linear "}
{"subject": "math:arxiv_190966", "predicate": "proves", "object": "in this paper we provide a new ( probabilistic ) proof of a classical result in partial differential"}
{"subject": "math:arxiv_190967", "predicate": "proves", "object": "we provide a new exact solution of the einstein equations which generalizes the noncommutative geome"}
{"subject": "math:arxiv_190983", "predicate": "proves", "object": "for convex co - compact hyperbolic manifolds @xmath0 for which the dimension of the limit set satisf"}
{"subject": "math:arxiv_190995", "predicate": "proves", "object": "the ground state of 4 confined in a system with the topology of cylinder can display properties of s"}
{"subject": "math:arxiv_190997", "predicate": "proves", "object": "grid - based discretizations of the time dependent schrdinger equation coupled to an external magnet"}
{"subject": "math:arxiv_191000", "predicate": "proves", "object": "in this paper we revisit the levy - perdew - sahni equation . \n we establish that the relation impli"}
{"subject": "math:arxiv_191016", "predicate": "proves", "object": "heteroclinic cycles involving two saddle - foci , where the saddle - foci share both invariant manif"}
{"subject": "math:arxiv_191026", "predicate": "proves", "object": "let @xmath0 be maps between smooth connected manifolds of the indicated dimensions @xmath1 and @xmat"}
{"subject": "math:arxiv_191034", "predicate": "proves", "object": "we extend the generalised langevin equation ( gle ) method [ phys . \n rev . \n b * 89 * , 134303 ( 20"}
{"subject": "math:arxiv_191056", "predicate": "proves", "object": "we report the first successful simulation of spontaneous formation of surface magnetic structures fr"}
{"subject": "math:arxiv_191072", "predicate": "proves", "object": "we analyze a toy model which has a structure similar to that of the recently found qcd evolution equ"}
{"subject": "math:arxiv_191081", "predicate": "proves", "object": "we consider the coadjoint action of a loop group of a compact group on the dual of the corresponding"}
{"subject": "math:arxiv_191084", "predicate": "proves", "object": "high time resolution observations of  ( or psr j0908@xmath04913 ) over a wide range of frequencies h"}
{"subject": "math:arxiv_191086", "predicate": "proves", "object": "a new formalism is presented for high - energy analysis of the green function for fokker - planck an"}
{"subject": "math:arxiv_191089", "predicate": "proves", "object": "closely following recent ideas of j. borcea , we discuss various modifications and relaxations of se"}
{"subject": "math:arxiv_191091", "predicate": "proves", "object": "we derive an integro - differential equation for propagation of cosmological gravitation waves in sp"}
{"subject": "math:arxiv_191092", "predicate": "proves", "object": "a unified tensor description of quadratic spin squeezing interactions is proposed , covering the sin"}
{"subject": "math:arxiv_191097", "predicate": "proves", "object": "highly localized explicit solutions to multidimensional wave and klein  gordon  fock equations are p"}
{"subject": "math:arxiv_191115", "predicate": "proves", "object": "until now , providing an experimental unambiguous proof of cosmic ray ( cr ) origin has been elusive"}
{"subject": "math:arxiv_191129", "predicate": "proves", "object": "a global action is the algebraic analogue of a topological manifold . \n this construction was introd"}
{"subject": "math:arxiv_191133", "predicate": "proves", "object": "we extend the study of the de rham operator with ideal boundary conditions from the case of isolated"}
{"subject": "math:arxiv_191140", "predicate": "proves", "object": "if gravitons are super - strong interacting particles and the low - temperature graviton background "}
{"subject": "math:arxiv_191155", "predicate": "proves", "object": "within framework of the quantum calculus , we represent the partition function and the mass exponent"}
{"subject": "math:arxiv_191173", "predicate": "proves", "object": "in this paper we employ tutte s theory of bridges to derive a decomposition theorem for binary matro"}
{"subject": "math:arxiv_191182", "predicate": "proves", "object": "as a submanifold is embedded into higher dimensional flat space , quantum mechanics gives various em"}
{"subject": "math:arxiv_191184", "predicate": "proves", "object": "we present universal factorization formulas describing the behavior of one - loop qcd amplitudes as "}
{"subject": "math:arxiv_191201", "predicate": "proves", "object": "based on various strategies and three new doubling operators , we present several simple directed - "}
{"subject": "math:arxiv_191215", "predicate": "proves", "object": "we give combinatorial proofs that certain families of differences of products of schur functions are"}
{"subject": "math:arxiv_191225", "predicate": "proves", "object": "we consider the p1/p1 or p1b / p1 finite element approximations to the stokes equations in a bounded"}
{"subject": "math:arxiv_191267", "predicate": "proves", "object": "we propose a generalized stochastic landau - lifshitz equation and its corresponding fokker - planck"}
{"subject": "math:arxiv_191268", "predicate": "proves", "object": "we show that reformulating the direct state tomography ( dst ) protocol in terms of projections into"}
{"subject": "math:arxiv_191276", "predicate": "proves", "object": "we propose two kinds of gauged linear sigma models whose moduli spaces are real eight - dimensional "}
{"subject": "math:arxiv_191292", "predicate": "proves", "object": "mcmillan and mayer ( mm ) proved two remarkable theorems in their paper on the equilibrium statistic"}
{"subject": "math:arxiv_191293", "predicate": "proves", "object": "chiaverini et al .  [ quant . \n inf .  comput . \n * 5 * , 419 ( 2005 ) ] recently suggested a linear"}
{"subject": "math:arxiv_191313", "predicate": "proves", "object": "two liquid state theories , the self - consistent ornstein - zernike equation ( scoza ) and the hier"}
{"subject": "math:arxiv_191323", "predicate": "proves", "object": "on the basis of the gauge principle of field theory , a new variational formulation is presented for"}
{"subject": "math:arxiv_191325", "predicate": "proves", "object": "we investigate a fractional diffusion / anti - diffusion equation proposed by andrew c. fowler to de"}
{"subject": "math:arxiv_191329", "predicate": "proves", "object": "initial value problems for the integrable discrete equations on quad - graphs are investigated . \n a"}
{"subject": "math:arxiv_191336", "predicate": "proves", "object": "we consider the @xmath0-curve of degree nine with three nests @xmath1 in @xmath2 . after systematic "}
{"subject": "math:arxiv_191338", "predicate": "proves", "object": "we use a symmetry - constrained variational procedure to construct a generalization of bcs to includ"}
{"subject": "math:arxiv_191350", "predicate": "proves", "object": "this note shows that split-2 bisimulation equivalence ( also known as timed equivalence ) affords a "}
{"subject": "math:arxiv_191352", "predicate": "proves", "object": "the perturbed burgers equation is considered . \n this equation is used for the description of one  d"}
{"subject": "math:arxiv_191356", "predicate": "proves", "object": "a representation for compact @xmath0-manifolds with non - empty non - spherical boundary via @xmath1"}
{"subject": "math:arxiv_191379", "predicate": "proves", "object": "in this paper we give a graph theoretic combinatorial interpretation for the cluster variables that "}
{"subject": "math:arxiv_191384", "predicate": "proves", "object": "the objective of this paper is to study detectability , observability and related lyapunov - type th"}
{"subject": "math:arxiv_191410", "predicate": "proves", "object": "we show that under some topological assumptions , an exact lagrangian cobordism @xmath0 of dimension"}
{"subject": "math:arxiv_191416", "predicate": "proves", "object": "in this paper , we study sheets of symmetric lie algebras through their slodowy slices . in particul"}
{"subject": "math:arxiv_191425", "predicate": "proves", "object": "we give a self - contained treatment of le and habiro s approach to the jones function of a knot and"}
{"subject": "math:arxiv_191426", "predicate": "proves", "object": "the 3 + 1 hamiltonian formulation in the gauge @xmath0 on the lapse function fixes the direction of "}
{"subject": "math:arxiv_191442", "predicate": "proves", "object": "by using spectral methods , we present seven classes of stable and unstable structures that occur in"}
{"subject": "math:arxiv_191446", "predicate": "proves", "object": "we consider the symmetric @xmath0-painlev equations derived from the birational representation of af"}
{"subject": "math:arxiv_191451", "predicate": "proves", "object": "equilibrium statistics of hamiltonian systems is correctly described by the microcanonical ensemble "}
{"subject": "math:arxiv_191459", "predicate": "proves", "object": "classical affine lie algebras appear e.g. as symmetries of infinite dimensional integrable systems a"}
{"subject": "math:arxiv_191466", "predicate": "proves", "object": "stochastic network calculus provides an elegant way to characterize traffic and service processes . "}
{"subject": "math:arxiv_191484", "predicate": "proves", "object": "the wheeler - dewitt equation represents a tool to study quantum gravity and quantum cosmology . \n i"}
{"subject": "math:arxiv_191495", "predicate": "proves", "object": "we formulate a new method of performing high - temperature series expansions for the spin - half hei"}
{"subject": "math:arxiv_191498", "predicate": "proves", "object": "the aim of this paper is to study and classify the multiplicity of distinguished limits and asymptot"}
{"subject": "math:arxiv_191505", "predicate": "proves", "object": "for a lattice crossing @xmath0 we show which catalan connection between @xmath1 points on boundary o"}
{"subject": "math:arxiv_191508", "predicate": "proves", "object": "we show that the linearized equations of the incompressible elastic medium admit a ` maxwell form ' "}
{"subject": "math:arxiv_191522", "predicate": "proves", "object": "we propose a theory of weakly nonlinear multi - dimensional self sustained detonations based on asym"}
{"subject": "math:arxiv_191530", "predicate": "proves", "object": "twisted calabi - yau algebras are a generalisation of ginzburg s notion of calabi - yau algebras . \n"}
{"subject": "math:arxiv_191550", "predicate": "proves", "object": "the new conjectures are proposed that there are s - matter and v - matter which are symmetric and wh"}
{"subject": "math:arxiv_191555", "predicate": "proves", "object": "the drinfeld double @xmath0 of the bosonization of a finite - dimensional nichols algebra @xmath1 ov"}
{"subject": "math:arxiv_191556", "predicate": "proves", "object": "we discuss the cross section formula both for massless and massive neutrinos on stable and radioacti"}
{"subject": "math:arxiv_191557", "predicate": "proves", "object": "we present an algorithm for computing equations of canonically embedded riemann surfaces with automo"}
{"subject": "math:arxiv_191564", "predicate": "proves", "object": "proofs of convergence of adaptive finite element methods for approximating eigenvalues and eigenfunc"}
{"subject": "math:arxiv_191571", "predicate": "proves", "object": "quantum ergordic theorem for a large class of quantum systems was proved by von neumann [ z. phys . "}
{"subject": "math:arxiv_191574", "predicate": "proves", "object": "+ it is shown , that the boltzmann - like equations allow the formulation of a very general model fo"}
{"subject": "math:arxiv_191579", "predicate": "proves", "object": "we study the evolution of embedded clusters . \n the equations of motion of the stars in the cluster "}
{"subject": "math:arxiv_191582", "predicate": "proves", "object": "we show that the pre - order defined on the category of contact manifolds by arbitrary symplectic co"}
{"subject": "math:arxiv_191587", "predicate": "proves", "object": "diffraction of multi - level atoms by an evanescent wave reflective diffraction grating is modeled b"}
{"subject": "math:arxiv_191589", "predicate": "proves", "object": "in production processes , e.g. @xmath0 or @xmath1 , the @xmath2 and @xmath3 overlap in the same part"}
{"subject": "math:arxiv_191592", "predicate": "proves", "object": "we demonstrate that statistics for several types of set partitions are described by generating funct"}
{"subject": "math:arxiv_191611", "predicate": "proves", "object": "in this paper we develop two models for the steady states and evolution of two dimensional isotherma"}
{"subject": "math:arxiv_191613", "predicate": "proves", "object": "a formula for the two - loop infrared singularities of dimensionally regularized qcd scattering ampl"}
{"subject": "math:arxiv_191644", "predicate": "proves", "object": "counting independent sets on bipartite graphs ( # bis ) is considered a canonical counting problem o"}
{"subject": "math:arxiv_191651", "predicate": "proves", "object": "we study the existence and uniqueness of solutions of a nonlinear integro - differential problem whi"}
{"subject": "math:arxiv_191667", "predicate": "proves", "object": "we study the motion of an inextensible string ( a whip ) fixed at one point in the absence of gravit"}
{"subject": "math:arxiv_191668", "predicate": "proves", "object": "scattering of solitons and dark solitons by potential walls is studied in the nonlinear schrdinger e"}
{"subject": "math:arxiv_191682", "predicate": "proves", "object": "a vanishing one - loop wave function of the universe in the limit of small three - geometry is found"}
{"subject": "math:arxiv_191692", "predicate": "proves", "object": "we introduce and study an extension of the heat equation relevant to relativistic energy formula inv"}
{"subject": "math:arxiv_191704", "predicate": "proves", "object": "the results of rigorous numerical simulations of photon echoes in exciton - plasmon systems are pres"}
{"subject": "math:arxiv_191708", "predicate": "proves", "object": "we modify the time dependent schrdinger - newton equation by using a potential for a solid sphere su"}
{"subject": "math:arxiv_191710", "predicate": "proves", "object": "we present a modified colour screening model for @xmath0 suppression in the quark - gluon plasma ( q"}
{"subject": "math:arxiv_191743", "predicate": "proves", "object": "the functional schrdinger equation ( fse ) for qcd gives a unique perspective on generation of a glu"}
{"subject": "math:arxiv_191747", "predicate": "proves", "object": "the stabilizer code is the most general algebraic construction of quantum error - correcting codes p"}
{"subject": "math:arxiv_191756", "predicate": "proves", "object": "we consider a class of spherically symmetric spacetime to obtain some interesting solutions in @xmat"}
{"subject": "math:arxiv_191763", "predicate": "proves", "object": "generalized solutions of the standard gauge transformation equations are presented and discussed in "}
{"subject": "math:arxiv_191768", "predicate": "proves", "object": "in this letter we exploit the recently - solved conjecture on the bosonic minimum output entropy to "}
{"subject": "math:arxiv_191774", "predicate": "proves", "object": "the horndeski theory of gravity is known as the most general scalar - tensor theory with second - or"}
{"subject": "math:arxiv_191782", "predicate": "proves", "object": "the topology of orientable @xmath0 spacetimes can be captured by certain lumps of non - trivial topo"}
{"subject": "math:arxiv_191805", "predicate": "proves", "object": "we show that the modified newtonian dynamics ( mond ) regime can be fully recovered as the weak - fi"}
{"subject": "math:arxiv_191806", "predicate": "proves", "object": "the purpose of the present paper is to show that : @xmath0 we consider algebras for a monad @xmath1 "}
{"subject": "math:arxiv_191835", "predicate": "proves", "object": "the principle existence theorem ( i.e. theorem 1 ) of `` existence and behavior of the radial limits"}
{"subject": "math:arxiv_191836", "predicate": "proves", "object": "in this paper , we study the position vector of rectifying slant helices in @xmath0 . \n first , we h"}
{"subject": "math:arxiv_191841", "predicate": "proves", "object": "i reconsider einstein s 1912 `` prague - theory '' of static gravity based on a scalar field obeying"}
{"subject": "math:arxiv_191850", "predicate": "proves", "object": "graphene pn junction is the brick to build up variety of graphene nano - structures . \n the analytic"}
{"subject": "math:arxiv_191856", "predicate": "proves", "object": "we present a new software tool for teaching logic based on natural deduction . \n its proof system is"}
{"subject": "math:arxiv_191861", "predicate": "proves", "object": "we prove that any derivation of the @xmath0-algebra @xmath1 of all locally measurable operators affi"}
{"subject": "math:arxiv_191863", "predicate": "proves", "object": "we investigate the propagation of electromagnetic waves in stratified anisotropic dielectric - magne"}
{"subject": "math:arxiv_191871", "predicate": "proves", "object": "by stacking an ensemble of strong lensing clusters , we demonstrate the feasibility of placing const"}
{"subject": "math:arxiv_191874", "predicate": "proves", "object": "we study the phase structure and equation of state for two - flavor quark matter at low temperature "}
{"subject": "math:arxiv_191882", "predicate": "proves", "object": "for axially symmetric solutions of einstein equations there exists a gauge which has the remarkable "}
{"subject": "math:arxiv_191886", "predicate": "proves", "object": "in this article we prove explicit formulae for the number of non - isomorphic cluster - tilted algeb"}
{"subject": "math:arxiv_191899", "predicate": "proves", "object": "we give a simple characterization of lie elements in free pre - lie algebras as elements of the kern"}
{"subject": "math:arxiv_191913", "predicate": "proves", "object": "dummett s logic @xmath0 is intuitionistic logic extended with dummett s axiom : for every two statem"}
{"subject": "math:arxiv_191928", "predicate": "proves", "object": "in this paper we investigate the radiation emitted by a charged particle moving along a helical orbi"}
{"subject": "math:arxiv_191939", "predicate": "proves", "object": "cellular automata can show well known features of quantum mechanics , such as a linear rule accordin"}
{"subject": "math:arxiv_191945", "predicate": "proves", "object": "using exact diagonalization of bilayer quantum hall systems at total filling factor @xmath0 in the t"}
{"subject": "math:arxiv_191961", "predicate": "proves", "object": "assuring safety in discrete time stochastic hybrid systems is particularly difficult when only noisy"}
{"subject": "math:arxiv_191971", "predicate": "proves", "object": "inspired by soliton models , we propose a description of static particles in terms of riemannian 4-m"}
{"subject": "math:arxiv_191987", "predicate": "proves", "object": "we numerically determine the time dependence of the scale factor from the lattice qcd equation of st"}
{"subject": "math:arxiv_191997", "predicate": "proves", "object": "we prove that if the initial data is smooth enough and a finite element solution of the three - dime"}
{"subject": "math:arxiv_192031", "predicate": "proves", "object": "the stabilized poincare - heisenberg algebra ( spha ) is the lie algebra of quantum relativistic kin"}
{"subject": "math:arxiv_192054", "predicate": "proves", "object": "in this article , we propose a milstein finite difference scheme for a stochastic partial differenti"}
{"subject": "math:arxiv_192064", "predicate": "proves", "object": "the renormalized trajectory of massless @xmath0theory on four dimensional euclidean space \n time is "}
{"subject": "math:arxiv_192070", "predicate": "proves", "object": "we study the stability and roughness of propagating cracks in heterogeneous brittle two - dimensiona"}
{"subject": "math:arxiv_192088", "predicate": "proves", "object": "this paper introduces the fundamental continuum theory governing momentum transport in isotropic nan"}
{"subject": "math:arxiv_192094", "predicate": "proves", "object": "we provide some numerical computations for the soliton dynamics of the nonlinear schrdinger equation"}
{"subject": "math:arxiv_192103", "predicate": "proves", "object": "we present a very short complete proof of the existence of the normal cycle of a subanalytic set . \n"}
{"subject": "math:arxiv_192107", "predicate": "proves", "object": "a novel view for the emergence of chaos in lorenz - like systems is presented . for such purpose , \n"}
{"subject": "math:arxiv_192112", "predicate": "proves", "object": "we have developed a method of solving for multi - species chemical reaction flows in non  equilibriu"}
{"subject": "math:arxiv_192119", "predicate": "proves", "object": "the logarithmic kdv ( log  kdv ) equation admits global solutions in an energy space and exhibits ga"}
{"subject": "math:arxiv_192131", "predicate": "proves", "object": "known as a symmetry of vacuum maxwell equations , the electric - magnetic duality can be lifted actu"}
{"subject": "math:arxiv_192154", "predicate": "proves", "object": "we investigate observational constraints on the cosmic equation of state from measurements of angula"}
{"subject": "math:arxiv_192160", "predicate": "proves", "object": "in this paper a finite dimensional unital associative algebra is presented , and its group of algebr"}
{"subject": "math:arxiv_192163", "predicate": "proves", "object": "we consider a general class of discrete unitary dynamical models on the lattice . we show that gener"}
{"subject": "math:arxiv_192168", "predicate": "proves", "object": "the thermodynamical properties of dark energy are usually investigated with the equation of state @x"}
{"subject": "math:arxiv_192170", "predicate": "proves", "object": "an abelian integral is the integral over the level curves of a hamiltonian @xmath0 of an algebraic f"}
{"subject": "math:arxiv_192173", "predicate": "proves", "object": "we elucidate the case in which the ablowitz - ladik ( al ) type discrete nonlinear schrdinger equati"}
{"subject": "math:arxiv_192176", "predicate": "proves", "object": "we exhibit a two - parameter family of bipartite mixed states @xmath0 , in a @xmath1 hilbert space ,"}
{"subject": "math:arxiv_192200", "predicate": "proves", "object": "we introduce a new mesoscopic model for nematic liquid crystals ( lcs ) . \n we extend the particle -"}
{"subject": "math:arxiv_192207", "predicate": "proves", "object": "we consider the singular semiclassical initial value problem for _ the phase space schrdinger equati"}
{"subject": "math:arxiv_192210", "predicate": "proves", "object": "in arxiv:1508.01343 [ hep - th ] , one of the authors proposed that in ads / cft the gravity dual of"}
{"subject": "math:arxiv_192215", "predicate": "proves", "object": "we characterize the asymptotic independence between blocks consisting of multiple wiener - it integr"}
{"subject": "math:arxiv_192218", "predicate": "proves", "object": "we study algebras defined by identities in symmetric monoidal categories . \n our focus is on lie alg"}
{"subject": "math:arxiv_192219", "predicate": "proves", "object": "a weak galerkin ( wg ) method is introduced and numerically tested for the helmholtz equation . this"}
{"subject": "math:arxiv_192233", "predicate": "proves", "object": "we formulate a thermodynamically consistent equation of state ( eos ) , based on excluded - volume a"}
{"subject": "math:arxiv_192236", "predicate": "proves", "object": "resonances and final state interactions ( fsi ) play a role in the formation of cp violation ( cpv )"}
{"subject": "math:arxiv_192249", "predicate": "proves", "object": "the functional formulation and one - loop effective action for scalar self - interacting theory non "}
{"subject": "math:arxiv_192251", "predicate": "proves", "object": "here we construct a map from the algebra of fields in two - dimensional noncommutative of u(1 ) yang"}
{"subject": "math:arxiv_192281", "predicate": "proves", "object": "in this talk , we elaborate on the operation of graph contraction introduced by gurau in his study o"}
{"subject": "math:arxiv_192301", "predicate": "proves", "object": "we present and discuss a selected set of problems of classical mechanics and thermodynamics . \n the "}
{"subject": "math:arxiv_192310", "predicate": "proves", "object": "the continuum equations of fluid mechanics are rederived with the intention of  keeping certain mech"}
{"subject": "math:arxiv_192321", "predicate": "proves", "object": "we extend the duality symmetry between the electric and the magnetic fields to the case in which an "}
{"subject": "math:arxiv_192344", "predicate": "proves", "object": "in order to study the outflows from accretion disks , we solve the set of hydrodynamic equations for"}
{"subject": "math:arxiv_192386", "predicate": "proves", "object": "in this paper we find a simple rule to reproduce the algebra of quantum observables using only the c"}
{"subject": "math:arxiv_192393", "predicate": "proves", "object": "the aim of this paper is to classify simply connected @xmath0-dimensional torus manifolds with vanis"}
{"subject": "math:arxiv_192408", "predicate": "proves", "object": "let @xmath0 be an orientable , irreducible @xmath1-manifold admitting a weakly reducible genus three"}
{"subject": "math:arxiv_192412", "predicate": "proves", "object": "a filtering method is introduced for solving the zero - range three - boson problem . \n this scheme "}
{"subject": "math:arxiv_192436", "predicate": "proves", "object": "in the daya bay reactor neutrino experiment 960 20-cm - diameter waterproof photomultiplier tubes ar"}
{"subject": "math:arxiv_192438", "predicate": "proves", "object": "we have developed a novel josephson junction geometry with minimal volume of lossy isolation dielect"}
{"subject": "math:arxiv_192463", "predicate": "proves", "object": "we give geometric formulae which enable us to detect ( completely in some cases ) the regular homoto"}
{"subject": "math:arxiv_192469", "predicate": "proves", "object": "we present a real - space formulation and higher - order finite - difference implementation of perio"}
{"subject": "math:arxiv_192491", "predicate": "proves", "object": "we review the equation of state for dark energy in modified gravity theories . \n in particular , we "}
{"subject": "math:arxiv_192515", "predicate": "proves", "object": "the azimuthal anisotropy due to path - length dependent jet energy loss is studied in a simple jet a"}
{"subject": "math:arxiv_192522", "predicate": "proves", "object": "the euler equations of ideal gas dynamics posess a remarkable nonlinear involutional symmetry which "}
{"subject": "math:arxiv_192542", "predicate": "proves", "object": "we treat the calculation of gravitational radiation using the mixed timelike - null initial value fo"}
{"subject": "math:arxiv_192566", "predicate": "proves", "object": "we first remind the reader of a simple geometric description of the kirby - siebenmann invariant of "}
{"subject": "math:arxiv_192587", "predicate": "proves", "object": "we explore in depth the number theoretic and statistical properties of certain sets of numbers arisi"}
{"subject": "math:arxiv_192590", "predicate": "proves", "object": "@xmath0-chain ( pronounced tau - chain ) is a decentralized peer - to - peer network having three un"}
{"subject": "math:arxiv_192598", "predicate": "proves", "object": "we have numerically explored the stable planetary geometry for the multiple systems involved in a 2:"}
{"subject": "math:arxiv_192607", "predicate": "proves", "object": "we investigate the launching of jets and outflows from magnetically diffusive accretion disks . usin"}
{"subject": "math:arxiv_192610", "predicate": "proves", "object": "let @xmath0 be a classical split real lie group of type @xmath1 , @xmath2 , or @xmath3 and @xmath4 a"}
{"subject": "math:arxiv_192617", "predicate": "proves", "object": "we prove that there are infinitely many pairs of homeomorphic non - diffeomorphic smooth @xmath0mani"}
{"subject": "math:arxiv_192619", "predicate": "proves", "object": "this paper introduces two constructions of legendrian submanifolds of @xmath0 , called legendrian pr"}
{"subject": "math:arxiv_192620", "predicate": "proves", "object": "in this article we study rational cherednik algebras at @xmath0 in positive characteristic . \n we st"}
{"subject": "math:arxiv_192624", "predicate": "proves", "object": "we present measurements of the genus topology of luminous red galaxies ( lrgs ) from the sloan digit"}
{"subject": "math:arxiv_192629", "predicate": "proves", "object": "we present a new approach to find accurate solutions to the poisson equation , as obtained from the "}
{"subject": "math:arxiv_192641", "predicate": "proves", "object": "we show that for @xmath0 the @xmath1-rational homotopy type of the moduli space @xmath2 of algebraic"}
{"subject": "math:arxiv_192654", "predicate": "proves", "object": "an overview of the theory and phenomenology of hadrons and qcd is provided from a dyson - schwinger "}
{"subject": "math:arxiv_192666", "predicate": "proves", "object": "we suggest a new bayesian analysis ( ba ) using disjunct m - r constraints for extracting probabilit"}
{"subject": "math:arxiv_192680", "predicate": "proves", "object": "a detailed theory describing linear optics of vapors comprised of interacting multi - level quantum "}
{"subject": "math:arxiv_192681", "predicate": "proves", "object": "we define a cartesian product @xmath0 for finite simple graphs which satisfies the knneth formula @x"}
{"subject": "math:arxiv_192686", "predicate": "proves", "object": "we study tilted perfect fluid cosmological models with a constant equation of state parameter in spa"}
{"subject": "math:arxiv_192688", "predicate": "proves", "object": "_ the order parameter of a critical system defined in a layered parallel plate geometry subject to n"}
{"subject": "math:arxiv_192706", "predicate": "proves", "object": "the notion of a subtractive category , recently introduced by the author , is a `` categorical versi"}
{"subject": "math:arxiv_192731", "predicate": "proves", "object": "depending on the choice of its potential , the scalar phantom field @xmath0 ( the equation of state "}
{"subject": "math:arxiv_192732", "predicate": "proves", "object": "a weak order on the set of maximal chains of the non - crossing partition lattice is introduced and "}
{"subject": "math:arxiv_192741", "predicate": "proves", "object": "in the absence of any additional assumption it is natural to conjecture that sizeable flavour - mixi"}
{"subject": "math:arxiv_192754", "predicate": "proves", "object": "we develop a semistability algorithm for vector bundles which are given as a kernel of a surjective "}
{"subject": "math:arxiv_192777", "predicate": "proves", "object": "in this paper we give the weierstrass equations and the generators of mordell - weil groups for jaco"}
{"subject": "math:arxiv_192793", "predicate": "proves", "object": "let @xmath0 be a field . \n a finite dimensional @xmath0-algebra is said to be minimal representation"}
{"subject": "math:arxiv_192794", "predicate": "proves", "object": "we study discrete vortices in the anti - continuum limit of the discrete two - dimensional nonlinear"}
{"subject": "math:arxiv_192815", "predicate": "proves", "object": "applying the horsk - mitskievitch conjecture to the empty space solutions of morgan and morgan due t"}
{"subject": "math:arxiv_192820", "predicate": "proves", "object": "a new mathematical model for evolutionary games on graphs is proposed to extend the classical replic"}
{"subject": "math:arxiv_192825", "predicate": "proves", "object": "the potential to control the number of the spin - wave band gaps of a magnonic crystal ( mc ) by var"}
{"subject": "math:arxiv_192834", "predicate": "proves", "object": "recursive equations for the number of cells with nonzero values at @xmath0-th step for some two - di"}
{"subject": "math:arxiv_192870", "predicate": "proves", "object": "lrs bianchi type - i models have been studied in the cosmological theory based on lyra s geometry . "}
{"subject": "math:arxiv_192873", "predicate": "proves", "object": "this paper extends the parabolic integral equation method , which is very effective for forward scat"}
{"subject": "math:arxiv_192880", "predicate": "proves", "object": "a new topological operad is introduced , called the splicing operad . \n this operad acts on a broad "}
{"subject": "math:arxiv_192902", "predicate": "proves", "object": "we relate fubini s theorem for euler characteristics to riemann - hurwtiz formulae , and reprove a c"}
{"subject": "math:arxiv_192903", "predicate": "proves", "object": "the generation of finite energy packets of x - waves is analysed in normally dispersive cubic media "}
{"subject": "math:arxiv_192923", "predicate": "proves", "object": "we continue the investigation of the lvy processes on a @xmath0-deformed full fock space started in "}
{"subject": "math:arxiv_192939", "predicate": "proves", "object": "translation - covariant markovian master equations used in the description of decoherence and dissip"}
{"subject": "math:arxiv_192966", "predicate": "proves", "object": "non - localities of foldy - wouthuysen and related transformations , which are used to separate posi"}
{"subject": "math:arxiv_192985", "predicate": "proves", "object": "we consider localized states in a discrete bistable allen - cahn equation . \n this model equation co"}
{"subject": "math:arxiv_192986", "predicate": "proves", "object": "we study some basic quantum confinement effects through investigation a deformed harmonic oscillator"}
{"subject": "math:arxiv_193002", "predicate": "proves", "object": "we introduce multi - sheeted versions of algebraic domains and quadrature domains , allowing them to"}
{"subject": "math:arxiv_193008", "predicate": "proves", "object": "there has been a recent coming together of the converse theorem for @xmath0 and the langlands - shah"}
{"subject": "math:arxiv_193041", "predicate": "proves", "object": "we study the theory of interaction between charged scalar field and maxwell field in de sitter backg"}
{"subject": "math:arxiv_193045", "predicate": "proves", "object": "the phase equivalent relativistic nn potential , which is related by a nonlinear equation to the ori"}
{"subject": "math:arxiv_193063", "predicate": "proves", "object": "we construct an infinite family of homologous , non - isotopic , symplectic surfaces of any genus gr"}
{"subject": "math:arxiv_193099", "predicate": "proves", "object": "a new semiempirical formula , with only three parameters , is proposed for cluster decay half - live"}
{"subject": "math:arxiv_193106", "predicate": "proves", "object": "diffeological spaces are generalizations of smooth manifolds which include singular spaces and funct"}
{"subject": "math:arxiv_193110", "predicate": "proves", "object": "we study the problem of how long a journey within a black hole can last . based on our observations "}
{"subject": "math:arxiv_193126", "predicate": "proves", "object": "in 1992 g. b. ermentrout and j. b. mcleod published a landmark study of travelling wavefronts for a "}
{"subject": "math:arxiv_193147", "predicate": "proves", "object": "we show that eso universal horn logic ( existential second logic where the first order part is a uni"}
{"subject": "math:arxiv_193151", "predicate": "proves", "object": "a new simplified formula is derived for the absorption cross section of small dielectric ellipsoidal"}
{"subject": "math:arxiv_193168", "predicate": "proves", "object": "we investigate the formal deformation theory of ( rank 1 ) branes on generalized complex ( gc ) mani"}
{"subject": "math:arxiv_193176", "predicate": "proves", "object": "we give new examples of hyperbolic and relatively hyperbolic groups of cohomological dimension @xmat"}
{"subject": "math:arxiv_193189", "predicate": "proves", "object": "we describe a new class of exact square integrable solutions of the pauli and dirac equation in rota"}
{"subject": "math:arxiv_193210", "predicate": "proves", "object": "we will show how the refined holomorphic anomaly equation obeyed by the nekrasov partition function "}
{"subject": "math:arxiv_193232", "predicate": "proves", "object": "it is shown that the equilibrium generalized mean spherical model of fluid structure may be extended"}
{"subject": "math:arxiv_193233", "predicate": "proves", "object": "in this paper we perform a blow - up and quantization analysis of the fractional liouville equation "}
{"subject": "math:arxiv_193251", "predicate": "proves", "object": "the spin diffusion / transport in @xmath0-type ( 001 ) gaas quantum well at high temperatures ( @xma"}
{"subject": "math:arxiv_193298", "predicate": "proves", "object": "we analyze whether one can construct a spectral triple for a carnot manifold @xmath0 , which detects"}
{"subject": "math:arxiv_193325", "predicate": "proves", "object": "we derive a scaling property from a fundamental nonlinear differential equation whose solution is th"}
{"subject": "math:arxiv_193343", "predicate": "proves", "object": "the reversal condition of magnetization in a nanomagnet under the effect of rotating magnetic field "}
{"subject": "math:arxiv_193357", "predicate": "proves", "object": "the norm game ( ng ) introduced by robert axelrod is a convenient frame to disccuss the time evoluti"}
{"subject": "math:arxiv_193362", "predicate": "proves", "object": "we present applications of variational  wavelet approach to different forms of nonlinear ( rational "}
{"subject": "math:arxiv_193371", "predicate": "proves", "object": "we formulate the self - consistent separable random - phase - approximation ( srpa ) method and spec"}
{"subject": "math:arxiv_193376", "predicate": "proves", "object": "according to the lieb s theorem the ferromagnetic interaction in graphene - based materials with bip"}
{"subject": "math:arxiv_193385", "predicate": "proves", "object": "we combine the coherent modified redfield theory ( cmrt ) with the equation of motion - phase matchi"}
{"subject": "math:arxiv_193394", "predicate": "proves", "object": "techniques are introduced which determine the geometric structure of non - simple two - generator @x"}
{"subject": "math:arxiv_193429", "predicate": "proves", "object": "we study the solutions to the wave equation in a two - dimensional tube of unit width comprised of t"}
{"subject": "math:arxiv_193442", "predicate": "proves", "object": "we extend the effective theory approach to the ideal fluid limit where the polarization of the fluid"}
{"subject": "math:arxiv_193444", "predicate": "proves", "object": "we consider the geometry of four spatial displacements , arranged in cyclic order , such that the re"}
{"subject": "math:arxiv_193447", "predicate": "proves", "object": "the demonstration and use of nonlocality , as defined by bell s theorem , rely strongly on dealing w"}
{"subject": "math:arxiv_193460", "predicate": "proves", "object": "we apply the differential equation method to the calculation of the total born cross section of the "}
{"subject": "math:arxiv_193462", "predicate": "proves", "object": "we investigate exact travelling wave solutions of higher order nonlinear schrdinger equation in the "}
{"subject": "math:arxiv_193480", "predicate": "proves", "object": "we theoretically and numerically study bogoliubov - wave turbulence in three - dimensional atomic bo"}
{"subject": "math:arxiv_193505", "predicate": "proves", "object": "the faddeev - yakubowsky equations in configuration space have been solved for the four nucleon syst"}
{"subject": "math:arxiv_193519", "predicate": "proves", "object": "a formula is derived that allows the computation of one - loop mass shifts for self - dual semilocal"}
{"subject": "math:arxiv_193531", "predicate": "proves", "object": "on the basis of the recently developed universal decline law of classical novae , we propose predict"}
{"subject": "math:arxiv_193536", "predicate": "proves", "object": "we formulate low mach number fluctuating hydrodynamic equations appropriate for modeling diffusive m"}
{"subject": "math:arxiv_193537", "predicate": "proves", "object": "quantum master equations usually describe the linear response of a driven dissipative system to an e"}
{"subject": "math:arxiv_193548", "predicate": "proves", "object": "we study the low - frequency , long - wavelength dynamics of soft and semi - soft nematic elastomers"}
{"subject": "math:arxiv_193551", "predicate": "proves", "object": "given a smooth oriented manifold @xmath0 with non - empty boundary , we study the pontryagin algebra"}
{"subject": "math:arxiv_193556", "predicate": "proves", "object": "we provide an elementary proof of a formula for the number of northeast lattice paths that lie in a "}
{"subject": "math:arxiv_193572", "predicate": "proves", "object": "noncommutative geometry in its many incarnations appears at the crossroad of various researches in t"}
{"subject": "math:arxiv_193590", "predicate": "proves", "object": "we study algebraic synchronization trees , i.e. , initial solutions of algebraic recursion schemes o"}
{"subject": "math:arxiv_193607", "predicate": "proves", "object": "we present a randomized iterative algorithm that exponentially converges in expectation to the minim"}
{"subject": "math:arxiv_193619", "predicate": "proves", "object": "the finiteness properties of the @xmath0=4 supersymmetric yang  mills theory are reanalyzed both in "}
{"subject": "math:arxiv_193650", "predicate": "proves", "object": "flow forming involves complicated tooling / workpiece interactions . \n purely analytical models of t"}
{"subject": "math:arxiv_193665", "predicate": "proves", "object": "we find dynamical invariants for open quantum systems described by the non - markovian quantum state"}
{"subject": "math:arxiv_193671", "predicate": "proves", "object": "classical systems of coupled harmonic oscillators are studied using the carati - galgani model . \n w"}
{"subject": "math:arxiv_193678", "predicate": "proves", "object": "we demonstrate a scheme for the fourier synthesis of periodic optical potentials with asymmetric uni"}
{"subject": "math:arxiv_193685", "predicate": "proves", "object": "given a compact manifold @xmath0 , the set of simple manifold structures on @xmath1 relative to the "}
{"subject": "math:arxiv_193715", "predicate": "proves", "object": "we consider the cauchy problem for the nonlinear schrdinger equation on @xmath0 , @xmath1 , @xmath2 "}
{"subject": "math:arxiv_193730", "predicate": "proves", "object": "in this article , we present the analytical solution of the radial schrdinger equation for the hulth"}
{"subject": "math:arxiv_193732", "predicate": "proves", "object": "ground - state properties of exotic even - even nuclei with extreme neutron - to - proton ratios are"}
{"subject": "math:arxiv_193739", "predicate": "proves", "object": "we reconsider the 2d model for cugeo@xmath0 introduced previously ( phys . \n rev . \n lett .  79 , 16"}
{"subject": "math:arxiv_193746", "predicate": "proves", "object": "the separation method developed earlier by us [ nucl .  phys . \n * a598 * 390 ( 1996 ) ] to calculat"}
{"subject": "math:arxiv_193748", "predicate": "proves", "object": "we propose a model for the fluctuation dynamics of the local denaturation zones ( bubbles ) in doubl"}
{"subject": "math:arxiv_193755", "predicate": "proves", "object": "we study the stability of the nuclear matter in a non - local nambu - jona - lasinio model . \n we wo"}
{"subject": "math:arxiv_193766", "predicate": "proves", "object": "in this article we propose a solution to the measurement problem in quantum mechanics . \n we point o"}
{"subject": "math:arxiv_193768", "predicate": "proves", "object": "motivated by recent progresses in nonequilibrium fluctuation relations , we present a generalized ti"}
{"subject": "math:arxiv_193777", "predicate": "proves", "object": "entanglement between two qubits ( two level atoms ) mediated by surface plasmons in three - dimensio"}
{"subject": "math:arxiv_193795", "predicate": "proves", "object": "strange matrix elements of the nucleon are calculated within the light - cone formulation of the mes"}
{"subject": "math:arxiv_193805", "predicate": "proves", "object": "the result of this paper is the determination of the cohomology of artin groups of type @xmath0 and "}
{"subject": "math:arxiv_193808", "predicate": "proves", "object": "we construct a contact 5-manifold supported by infinitely many distinct open books with the identity"}
{"subject": "math:arxiv_193815", "predicate": "proves", "object": "we present a method to calculate nuclear matter properties in the superfluid phase . \n the method is"}
{"subject": "math:arxiv_193827", "predicate": "proves", "object": "it is useful to study the space of all cosmological models from a dynamical systems perspective , th"}
{"subject": "math:arxiv_193836", "predicate": "proves", "object": "we present a five - wave riemann solver for the equations of ideal relativistic magnetohydrodynamics"}
{"subject": "math:arxiv_193857", "predicate": "proves", "object": "most general relativity textbooks devote considerable space to the simplest example of a black hole "}
{"subject": "math:arxiv_193863", "predicate": "proves", "object": "the yamabe invariant is an invariant of a closed smooth manifold defined using conformal geometry an"}
{"subject": "math:arxiv_193884", "predicate": "proves", "object": "by viewing a velocity gradient in a fluid as an internal disturbance and treating it as a constraint"}
{"subject": "math:arxiv_193889", "predicate": "proves", "object": "we show that each of the topological 4-manifolds @xmath0 for @xmath1 admits a smooth structure which"}
{"subject": "math:arxiv_193916", "predicate": "proves", "object": "we study the zero- and the finite - temperature behavior of the integrable spin-1/2 xxz periodic cha"}
{"subject": "math:arxiv_193940", "predicate": "proves", "object": "we establish the relation between local stability of equilibria and slopes of critical curves for a "}
{"subject": "math:arxiv_193964", "predicate": "proves", "object": "we study flat friedmann - lematre - robertson - walker @xmath0-attractor @xmath1- and @xmath2-models"}
{"subject": "math:arxiv_193968", "predicate": "proves", "object": "we propose a method of calculation of the power spectrum of cosmological perturbations by means of a"}
{"subject": "math:arxiv_193980", "predicate": "proves", "object": "we consider the problem of determining the initial heat distribution in the heat equation from a poi"}
{"subject": "math:arxiv_193985", "predicate": "proves", "object": "the operad of framed little discs is shown to be equivalent to a cyclic operad . \n this answers a co"}
{"subject": "math:arxiv_194004", "predicate": "proves", "object": "we investigate properties of the entropy density related to a generalized extensive statistics and d"}
{"subject": "math:arxiv_194008", "predicate": "proves", "object": "first some old as well as new results about p.i . \n algebras , ore extensions , and degrees are pres"}
{"subject": "math:arxiv_194020", "predicate": "proves", "object": "tensor models , generalization of matrix models , are studied aiming for quantum gravity in dimensio"}
{"subject": "math:arxiv_194022", "predicate": "proves", "object": "we consider a nonlocal equation set in an unbounded domain with the epigraph property . \n we prove s"}
{"subject": "math:arxiv_194057", "predicate": "proves", "object": "as is well - known , transition probabilities of jump markov processes satisfy kolmogorov s backward"}
{"subject": "math:arxiv_194087", "predicate": "proves", "object": "a new coupling argument is introduced to establish driver s integration by parts formula and shift h"}
{"subject": "math:arxiv_194089", "predicate": "proves", "object": "a theorem about asymptotic estimation of multiple integral of a special type is proved for the case "}
{"subject": "math:arxiv_194097", "predicate": "proves", "object": "in the standard procedure for calculating the decay rate of a metastable vacuum the solution of the "}
{"subject": "math:arxiv_194119", "predicate": "proves", "object": "the conjecture that the orbit - counting generating function for totally symmetric plane partitions "}
{"subject": "math:arxiv_194132", "predicate": "proves", "object": "wave function collapse models are considered as the modified theories of standard quantum mechanics "}
{"subject": "math:arxiv_194183", "predicate": "proves", "object": "the relation between energy and density ( known as the nuclear equation of state ) plays a major rol"}
{"subject": "math:arxiv_194184", "predicate": "proves", "object": "in this paper we present some relevant dynamical properties of a 3d lotka - volterra system from the"}
{"subject": "math:arxiv_194194", "predicate": "proves", "object": "the mobility of surface electrons localized over helium films underlying solid substrates has been e"}
{"subject": "math:arxiv_194198", "predicate": "proves", "object": "in this paper , we solve the eigen solutions to some nonlinear spinor equations , and compute severa"}
{"subject": "math:arxiv_194203", "predicate": "proves", "object": "for an element in an algebra - valued @xmath0-noncommutative probability space , equivalent conditio"}
{"subject": "math:arxiv_194221", "predicate": "proves", "object": "we formulate a paradox in relation to the description of a joint entity consisting of two subentitie"}
{"subject": "math:arxiv_194224", "predicate": "proves", "object": "the schrdinger equation , in hyperspherical coordinates , is solved in closed form for a system of t"}
{"subject": "math:arxiv_194228", "predicate": "proves", "object": "this paper investigates coverage control for visual sensor networks based on gradient descent techni"}
{"subject": "math:arxiv_194232", "predicate": "proves", "object": "this paper studies the linear stochastic partial differential equation of fractional orders both in "}
{"subject": "math:arxiv_194235", "predicate": "proves", "object": "we discuss a formulation of quantum field theory on quantum space time where the perturbation expans"}
{"subject": "math:arxiv_194241", "predicate": "proves", "object": "a novel approach to entanglement , based on the gelfand - naimark - segal ( gns ) construction , is "}
{"subject": "math:arxiv_194242", "predicate": "proves", "object": "two equations are constructed which reflect , for fermions moving independently in a spherical harmo"}
{"subject": "math:arxiv_194245", "predicate": "proves", "object": "frank adams introduced the notion of a complex oriented cohomology theory represented by a commutati"}
{"subject": "math:arxiv_194261", "predicate": "proves", "object": "we expand fl@xmath0 with a unary connective whose algebraic counterpart is the operation that gives "}
{"subject": "math:arxiv_194271", "predicate": "proves", "object": "for a finitely generated algebra over a field , the transcendence degree is known to be equal to the"}
{"subject": "math:arxiv_194275", "predicate": "proves", "object": "the philosophy that  a projective manifold is more special than any of its smooth hyperplane section"}
{"subject": "math:arxiv_194276", "predicate": "proves", "object": "we consider three notions of divisibility in the cuntz semigroup of a @xmath0-algebra , and show how"}
{"subject": "math:arxiv_194278", "predicate": "proves", "object": "courcelle s theorem states that every problem definable in monadic second - order logic can be solve"}
{"subject": "math:arxiv_194316", "predicate": "proves", "object": "we consider the dark energy model with barotropic equation of state , which interacts with dark matt"}
{"subject": "math:arxiv_194320", "predicate": "proves", "object": "recently , a rigorous yet concise formula has been derived to evaluate the information flow , and he"}
{"subject": "math:arxiv_194321", "predicate": "proves", "object": "let @xmath0 be a triangle - free graph with maximum degree at most 3 . \n staton proved that the inde"}
{"subject": "math:arxiv_194330", "predicate": "proves", "object": "a new isomorphism invariant of matroids is introduced , in the form of a quasisymmetric function . \n"}
{"subject": "math:arxiv_194343", "predicate": "proves", "object": "using green s hyperplane restriction theorem , we prove that the rank of a hermitian form on the spa"}
{"subject": "math:arxiv_194352", "predicate": "proves", "object": "we show that all the time - dependent statistical properties of the rightmost points of a branching "}
{"subject": "math:arxiv_194363", "predicate": "proves", "object": "we construct new models of black hole - neutron star binaries in quasiequilibrium circular orbits by"}
{"subject": "math:arxiv_194379", "predicate": "proves", "object": "we study nonlinear schrdinger equations , posed on a three dimensional riemannian manifold @xmath0 ."}
{"subject": "math:arxiv_194383", "predicate": "proves", "object": "monte carlo simulation of linear accelerators ( linacs ) depends on the accurate geometrical descrip"}
{"subject": "math:arxiv_194394", "predicate": "proves", "object": "we introduce nonlinear attractive effects into a spatial prisoner s dilemma game where the players l"}
{"subject": "math:arxiv_194399", "predicate": "proves", "object": "we study the geometry of algebraic monoids . \n we prove that the group of invertible elements of an "}
{"subject": "math:arxiv_194400", "predicate": "proves", "object": "within the context of exoplanetary atmospheres , we present a comprehensive linear analysis of force"}
{"subject": "math:arxiv_194406", "predicate": "proves", "object": "let @xmath0 be a prime . in this paper we give a proof of the following result : a valued field @xma"}
{"subject": "math:arxiv_194412", "predicate": "proves", "object": "in this paper we study @xmath0-reversible area - preserving maps @xmath1 on a two - dimensional riem"}
{"subject": "math:arxiv_194423", "predicate": "proves", "object": "this work consists in the asymptotic analysis of the solution of poisson equation in a bounded domai"}
{"subject": "math:arxiv_194428", "predicate": "proves", "object": "the famous conjecture of v.ya.ivrii ( 1978 ) says that _ in every billiard with infinitely - smooth "}
{"subject": "math:arxiv_194430", "predicate": "proves", "object": "a first - principles study of the birefringence and the frequency dependent second harmonic generati"}
{"subject": "math:arxiv_194446", "predicate": "proves", "object": "with the help of the green function technique and the equation of motion approach , the electronic t"}
{"subject": "math:arxiv_194449", "predicate": "proves", "object": "let @xmath0 be a compact torus acting on a compact symplectic manifold @xmath1 in a hamiltonian fash"}
{"subject": "math:arxiv_194450", "predicate": "proves", "object": "the fluctuation theorems have remained one of the cornerstones in the study of systems that are driv"}
{"subject": "math:arxiv_194452", "predicate": "proves", "object": "we prove the existence of a continuous family of positive and generally non - monotone travelling fr"}
{"subject": "math:arxiv_194454", "predicate": "proves", "object": "we give a simple criterion when a gluck twisting an odd smooth @xmath0-manifold along a @xmath1-sphe"}
{"subject": "math:arxiv_194462", "predicate": "proves", "object": "we study convergence to the invariant measure for a class of semilinear stochastic evolution equatio"}
{"subject": "math:arxiv_194466", "predicate": "proves", "object": "we describe all smooth solutions of the two - function tt*-toda equations ( a version of the tt * eq"}
{"subject": "math:arxiv_194473", "predicate": "proves", "object": "in this paper we address fano manifolds of dimension @xmath0 with a locally unsplit dominating famil"}
{"subject": "math:arxiv_194491", "predicate": "proves", "object": "we derive the equations of motion for a planar rigid body of circular shape moving in a 2d perfect f"}
{"subject": "math:arxiv_194501", "predicate": "proves", "object": "imaginary- and real - time versions of an equation for the condensate density are presented which de"}
{"subject": "math:arxiv_194506", "predicate": "proves", "object": "particle oscillations following neutrino production processes are analysed within feynman s path amp"}
{"subject": "math:arxiv_194507", "predicate": "proves", "object": "we formulate @xmath0 higher spin gravity as bf theory with fields taking values in @xmath1 algebra t"}
{"subject": "math:arxiv_194522", "predicate": "proves", "object": "we show that for a wide class of manifold pairs @xmath0 satisfying @xmath1 , every @xmath2-injective"}
{"subject": "math:arxiv_194529", "predicate": "proves", "object": "measurements of the growth index of linear matter density fluctuations @xmath0 provide a clue as to "}
{"subject": "math:arxiv_194555", "predicate": "proves", "object": "1.0 cm 1.0 cm we test the quark mass dependence implemented in the quasiparticle dispersion relation"}
{"subject": "math:arxiv_194558", "predicate": "proves", "object": "an estimation of the sensitivity to measure @xmath0-@xmath1 oscillations with the atlas detector is "}
{"subject": "math:arxiv_194565", "predicate": "proves", "object": "we extend previous studies of the bcs canonical approach for the attractive hubbard model . \n a deri"}
{"subject": "math:arxiv_194595", "predicate": "proves", "object": "we revise and extend the algorithm provided in @xcite to compute the finite connes distance between "}
{"subject": "math:arxiv_194609", "predicate": "proves", "object": "for generic @xmath0 the space @xmath1 of @xmath2gons in @xmath3 with edges of lengths @xmath4 is a s"}
{"subject": "math:arxiv_194610", "predicate": "proves", "object": "generalizing the collision term in the relativistic boltzmann equation to include nonlocal effects ,"}
{"subject": "math:arxiv_194624", "predicate": "proves", "object": "we consider the biharmonicity condition for maps between riemannian manifolds ( see @xcite ) , and s"}
{"subject": "math:arxiv_194625", "predicate": "proves", "object": "this paper presents a stochastic approach to theorems concerning the behavior of iterations of the b"}
{"subject": "math:arxiv_194638", "predicate": "proves", "object": "functional renormalisation group approach is applied to a system of kaons at finite chemical potenti"}
{"subject": "math:arxiv_194650", "predicate": "proves", "object": "a _ metrized complex of algebraic curves _ over an algebraically closed field @xmath0 is , roughly s"}
{"subject": "math:arxiv_194662", "predicate": "proves", "object": "many gauge theory models on fuzzy complex projective spaces will contain a strong instability in the"}
{"subject": "math:arxiv_194668", "predicate": "proves", "object": "we report on previously overlooked solutions of the usual gauge transformation equations that exhibi"}
{"subject": "math:arxiv_194671", "predicate": "proves", "object": "we prove two recent conjectures on some upper bounds for the castelnuovo - mumford regularity of the"}
{"subject": "math:arxiv_194675", "predicate": "proves", "object": "in this work , a boundary value problem for sturm - liouville operator with discontinuous coefficien"}
{"subject": "math:arxiv_194679", "predicate": "proves", "object": "dynamical friction is a fundamental and important phenomenon in astrophysics . \n the chandrasekhar f"}
{"subject": "math:arxiv_194687", "predicate": "proves", "object": "in this note we clarify the relationship between the local and global definitions of dual pairs in p"}
{"subject": "math:arxiv_194697", "predicate": "proves", "object": "in this article , we study the large time behavior of solutions of first - order hamilton - jacobi e"}
{"subject": "math:arxiv_194704", "predicate": "proves", "object": "for a prime @xmath0 , let @xmath1 be the classical modular polynomial , and let @xmath2 denote its l"}
{"subject": "math:arxiv_194706", "predicate": "proves", "object": "we construct a new family @xmath0 of simply connected symplectic 4-manifolds with the property @xmat"}
{"subject": "math:arxiv_194708", "predicate": "proves", "object": "the formation and propagation of singularities for boltzmann equation in bounded domains has been an"}
{"subject": "math:arxiv_194714", "predicate": "proves", "object": "it is well - known that the unit cotangent bundle of any riemannian manifold has a canonical contact"}
{"subject": "math:arxiv_194726", "predicate": "proves", "object": "let @xmath0 be a simply connected semisimple algebraic group over an algebraically closed field @xma"}
{"subject": "math:arxiv_194729", "predicate": "proves", "object": "motivated by tremendous progress in neutrino oscillation experiments , we derive a new set of simple"}
{"subject": "math:arxiv_194734", "predicate": "proves", "object": "this paper is concerned with the study of a model case of first order hamilton - jacobi equations po"}
{"subject": "math:arxiv_194749", "predicate": "proves", "object": "we calculate the spin stiffness of the @xmath0 frustrated heisenberg antiferromagnet directly from a"}
{"subject": "math:arxiv_194750", "predicate": "proves", "object": "a compact expression for the dewitt - schwinger renormalization terms suitable for use in even - dim"}
{"subject": "math:arxiv_194782", "predicate": "proves", "object": "we consider a fractional elliptic equation in an unbounded set with both dirichlet and fractional no"}
{"subject": "math:arxiv_194785", "predicate": "proves", "object": "let @xmath0 be an open , simply connected , and bounded region in @xmath1 , @xmath2 , and assume its"}
{"subject": "math:arxiv_194791", "predicate": "proves", "object": "we present an algorithm for writing down explicit formulas for all tree amplitudes in @xmath0 superg"}
{"subject": "math:arxiv_194798", "predicate": "proves", "object": "we study the influence of disorder on propagation of waves in one - dimensional structures . \n trans"}
{"subject": "math:arxiv_194801", "predicate": "proves", "object": "we show that real - value approximations of kolmogorov - chaitin ( @xmath0 ) using the algorithmic c"}
{"subject": "math:arxiv_194821", "predicate": "proves", "object": "we examine , in a purely geometrical way , static ricci - flat 5-manifolds admitting the 2-sphere an"}
{"subject": "math:arxiv_194826", "predicate": "proves", "object": "we consider a system of partial differential equations describing the steady flow of a compressible "}
{"subject": "math:arxiv_194828", "predicate": "proves", "object": "we study dynamics of two coupled periodically driven oscillators . \n the internal motion is separate"}
{"subject": "math:arxiv_194834", "predicate": "proves", "object": "the dynamical age of the universe depends upon the rate of the expansion of the universe , which exp"}
{"subject": "math:arxiv_194841", "predicate": "proves", "object": "we correct an alleged contradiction to gallager s capacity theorem for waveform channels as presente"}
{"subject": "math:arxiv_194843", "predicate": "proves", "object": "in this paper , we are interested in the analytical study of a nonlinear stochastic partial differen"}
{"subject": "math:arxiv_194848", "predicate": "proves", "object": "we consider general pseudodifferential boundary value problems on a lie manifold with boundary . \n t"}
{"subject": "math:arxiv_194856", "predicate": "proves", "object": "we prove the following conjecture of g. fejes toth , g. kuperberg , and w. kuperberg : every body @x"}
{"subject": "math:arxiv_194864", "predicate": "proves", "object": "we show that if @xmath0 is a limit of @xmath1-dimensional riemannian manifolds with ricci curvature "}
{"subject": "math:arxiv_194869", "predicate": "proves", "object": "we present a study of the distance between a brownian motion and a submanifold of a complete riemann"}
{"subject": "math:arxiv_194874", "predicate": "proves", "object": "we present constraints on the mean matter density , @xmath0 , the normalization of the density fluct"}
{"subject": "math:arxiv_194889", "predicate": "proves", "object": "in this paper we continue our study of the dual sl(2,c ) symmetry of the bfkl equation , analogous t"}
{"subject": "math:arxiv_194895", "predicate": "proves", "object": "we study the replica field theory which describes the pinning of elastic manifolds of arbitrary inte"}
{"subject": "math:arxiv_194896", "predicate": "proves", "object": "we present a systematic hierarchy of approximations for _ local _ exact - decoupling of four - compo"}
{"subject": "math:arxiv_194901", "predicate": "proves", "object": "we show that there is no positive loop inside the component of a fiber in the space of legendrian em"}
{"subject": "math:arxiv_194911", "predicate": "proves", "object": "we present analytically the exact energy bound - states solutions of the schrdinger equation in @xma"}
{"subject": "math:arxiv_194915", "predicate": "proves", "object": "the dynamics of the one - dimensional @xmath0-state potts model , in the zero temperature limit , ca"}
{"subject": "math:arxiv_194916", "predicate": "proves", "object": "the stokes equation with the varying viscosity is considered in a thin tube structure , i.e. in a co"}
{"subject": "math:arxiv_194924", "predicate": "proves", "object": "based on the generalized kinetic equation for the one - particle distribution function with a small "}
{"subject": "math:arxiv_194963", "predicate": "proves", "object": "we propose a method which enables a qcd - based calculation of a relaxation time for a dissipative c"}
{"subject": "math:arxiv_194967", "predicate": "proves", "object": "adiabatic state engineering is a powerful technique in quantum information and quantum control . \n h"}
{"subject": "math:arxiv_194968", "predicate": "proves", "object": "the magnetocentrifugal disk wind mechanism is the leading candidate for producing the large - scale "}
{"subject": "math:arxiv_194977", "predicate": "proves", "object": "in this paper we give a bijective proof for a relation between uni- bi- and tricellular maps of cert"}
{"subject": "math:arxiv_194978", "predicate": "proves", "object": "while the concept of straight - line length is well understood in taxicab geometry , little research"}
{"subject": "math:arxiv_194981", "predicate": "proves", "object": "we investigate when isomorphism conjectures , such as the ones due to baum - connes , bost and farre"}
{"subject": "math:arxiv_194994", "predicate": "proves", "object": "the wegner - houghton formulation of the exact renormalization group evolution equation is used in o"}
{"subject": "math:arxiv_195001", "predicate": "proves", "object": "we construct several sequences of asymptotically optimal definite quadrature formulae of fourth orde"}
{"subject": "math:arxiv_195002", "predicate": "proves", "object": "a formula of luminosity of asymmetric e+e- collider with coupled lattices is derived explicitly . \n "}
{"subject": "math:arxiv_195029", "predicate": "proves", "object": "we study approximate solutions to the time - dependent schrdinger equation @xmath0 with the hamilton"}
{"subject": "math:arxiv_195035", "predicate": "proves", "object": "we study a reaction - diffusion equation with a nonlocal reaction term that models a population with"}
{"subject": "math:arxiv_195054", "predicate": "proves", "object": "using a family of graded algebra structures on a planar algebra and a family of traces coming from r"}
{"subject": "math:arxiv_195055", "predicate": "proves", "object": "in this article , we introduce the concept of normal families of bicomplex holomorphic functions to "}
{"subject": "math:arxiv_195072", "predicate": "proves", "object": "following a program on black hole nonmodal linear stability initiated in phys . \n rev . \n lett . \n *"}
{"subject": "math:arxiv_195089", "predicate": "proves", "object": "the covariant entropy bound conjecture is an important hint for the quantum gravity , with several v"}
{"subject": "math:arxiv_195101", "predicate": "proves", "object": "a general theory of the frlicher  nijenhuis and schouten  nijenhuis brackets in the category of modu"}
{"subject": "math:arxiv_195115", "predicate": "proves", "object": "the infrared limit of the lattice landau gauge gluon propagator is studied . \n we show that the latt"}
{"subject": "math:arxiv_195132", "predicate": "proves", "object": "we give a combinatorial rule for computing intersection numbers on a flag manifold which come from p"}
{"subject": "math:arxiv_195133", "predicate": "proves", "object": "we study techniques for deciding the computational complexity of infinite - domain constraint satisf"}
{"subject": "math:arxiv_195137", "predicate": "proves", "object": "we compare gap equation predictions for the spontaneous breaking of global symmetries in supersymmet"}
{"subject": "math:arxiv_195139", "predicate": "proves", "object": "a concept of quasi - metrizability with respect to a bornology of a generalized topological space in"}
{"subject": "math:arxiv_195176", "predicate": "proves", "object": "in 1972 , erds - faber - lovsz ( efl ) conjectured that , if @xmath0 is a linear hypergraph consisti"}
{"subject": "math:arxiv_195192", "predicate": "proves", "object": "we characterise mutations between fake weighted projective spaces , and give explicit formulas for h"}
{"subject": "math:arxiv_195193", "predicate": "proves", "object": "we introduce a sherrington - kirkpatrick spin - glass model with the addition of elastic degrees of "}
{"subject": "math:arxiv_195194", "predicate": "proves", "object": "the aim of this paper is to study the structure of the higher - dimensional teichmller and riemann m"}
{"subject": "math:arxiv_195207", "predicate": "proves", "object": "in this paper , we discuss duality about components of invariant variety of periodic points(ivpp)@xc"}
{"subject": "math:arxiv_195215", "predicate": "proves", "object": "we present a derivation of the stress field for an interacting quantum system within the framework o"}
{"subject": "math:arxiv_195219", "predicate": "proves", "object": "the challenging issue of determining the correct @xmath0 among several possibilities is here revised"}
{"subject": "math:arxiv_195232", "predicate": "proves", "object": "consider a compact riemannian manifold with boundary . in this short note \n we prove that under cert"}
{"subject": "math:arxiv_195243", "predicate": "proves", "object": "we report on calculations of the total gravitational energy radiated in the head - on black hole col"}
{"subject": "math:arxiv_195267", "predicate": "proves", "object": "we find formulas for the macroscopic minkowski and hausdorff dimensions of the range of an arbitrary"}
{"subject": "math:arxiv_195272", "predicate": "proves", "object": "we extend our previous analysis to arbitrary two dimensional @xmath0 principal chiral model in a lin"}
{"subject": "math:arxiv_195281", "predicate": "proves", "object": "a fruitful approach for solving signal deconvolution problems consists of resorting to a frame - bas"}
{"subject": "math:arxiv_195282", "predicate": "proves", "object": "we provide the first mathematical proof that the connective constant of the hexagonal lattice is equ"}
{"subject": "math:arxiv_195288", "predicate": "proves", "object": "in this paper we introduce non - commutative fields and forms on a new kind of non - commutative alg"}
{"subject": "math:arxiv_195293", "predicate": "proves", "object": "motivated by the vacuum selection problem of string / m theory , we study a new geometric invariant "}
{"subject": "math:arxiv_195303", "predicate": "proves", "object": "if the diffeomorphism symmetry of general relativity is fully implemented into a path integral quant"}
{"subject": "math:arxiv_195305", "predicate": "proves", "object": "in this work we relate the density of the first - passage time of a wiener process to a moving bound"}
{"subject": "math:arxiv_195306", "predicate": "proves", "object": "we prove a generalization of graham s conjecture for optimal pebbling with arbitrary sets of target "}
{"subject": "math:arxiv_195308", "predicate": "proves", "object": "for a markov chain both the detailed balance condition and the cycle kolmogorov condition are algebr"}
{"subject": "math:arxiv_195316", "predicate": "proves", "object": "we study travelling fronts of equations of the form @xmath0 . a criterion for the transition from li"}
{"subject": "math:arxiv_195318", "predicate": "proves", "object": "the aim of this article is to link schubert varieties in the flag manifold with hyperplane arrangeme"}
{"subject": "math:arxiv_195325", "predicate": "proves", "object": "the stability of toroidal magnetic fields in rotating radiative stellar zones is studied for realist"}
{"subject": "math:arxiv_195329", "predicate": "proves", "object": "the klein paradox is reassessed by considering the properties of a finite square well or barrier in "}
{"subject": "math:arxiv_195330", "predicate": "proves", "object": "we give a detailed study of the traveling wave solutions of @xmath0 kaup - boussinesq type of couple"}
{"subject": "math:arxiv_195335", "predicate": "proves", "object": "louis solomon showed that the group algebra of the symmetric group @xmath0 has a subalgebra called t"}
{"subject": "math:arxiv_195349", "predicate": "proves", "object": "we provide a classification of compact euclidean submanifolds @xmath0 with nonnegative sectional cur"}
{"subject": "math:arxiv_195351", "predicate": "proves", "object": "we study the topology of the publicly available data released by the 2 degree field galaxy redshift "}
{"subject": "math:arxiv_195353", "predicate": "proves", "object": "this paper studies the curvatures of amoebas and real amoebas ( i.e. essentially logarithmic curvatu"}
{"subject": "math:arxiv_195365", "predicate": "proves", "object": "we prove that every lens space contains a genus one homologically fibered knot , which is contrast t"}
{"subject": "math:arxiv_195367", "predicate": "proves", "object": "using the hamilton - jacobi equation approach to study genomes of length @xmath0 , we obtain @xmath1"}
{"subject": "math:arxiv_195375", "predicate": "proves", "object": "recently there has been a renewed interest in asymptotic euler - maclaurin formulas , partly due to "}
{"subject": "math:arxiv_195380", "predicate": "proves", "object": "in this paper the solutions @xmath0 to fractional diffusion equations of order @xmath1 are analyzed "}
{"subject": "math:arxiv_195382", "predicate": "proves", "object": "the shortest cycle cover conjecture of alon and tarsi asserts that the edges of every bridgeless gra"}
{"subject": "math:arxiv_195388", "predicate": "proves", "object": "we consider weak invariance principles ( functional limit theorems ) in the domain of a stable law ."}
{"subject": "math:arxiv_195393", "predicate": "proves", "object": "we show that any open aspherical manifold of dimension @xmath0 is tangentially homotopy equivalent t"}
{"subject": "math:arxiv_195420", "predicate": "proves", "object": "we derive perturbatively the gap equations for a color - superconducting condensate with total spin "}
{"subject": "math:arxiv_195422", "predicate": "proves", "object": "we show that it is consistent with zfc ( relative to large cardinals ) that every infinite boolean a"}
{"subject": "math:arxiv_195426", "predicate": "proves", "object": "in the present paper , ito formula and tanaka formula for a special kind of symmetric random walk in"}
{"subject": "math:arxiv_195437", "predicate": "proves", "object": "we provide multiple schramm - loewner evolutions ( sles ) to describe the scaling limit of multiple "}
{"subject": "math:arxiv_195439", "predicate": "proves", "object": "in this article we study the propagation of wigner measures linked to solutions of the schrdinger eq"}
{"subject": "math:arxiv_195445", "predicate": "proves", "object": "the aim article is to contribute to the definition of a versatile language for metastability in the "}
{"subject": "math:arxiv_195447", "predicate": "proves", "object": "we report on the algorithms and numerical methods used in , a novel fluid - kinetic code that solves"}
{"subject": "math:arxiv_195458", "predicate": "proves", "object": "we reexamine here a problem considered in detail before by waugh and lake : the solution of spherica"}
{"subject": "math:arxiv_195479", "predicate": "proves", "object": "almost all of the studies devoted to relativistic astrometry are based on the integration of the nul"}
{"subject": "math:arxiv_195499", "predicate": "proves", "object": "we consider transport through a single @xmath0 molecule , weakly coupled to metallic leads . employi"}
{"subject": "math:arxiv_195529", "predicate": "proves", "object": "for the @xmath0 euler equation in vorticity formulation , we construct localized smooth solutions wh"}
{"subject": "math:arxiv_195537", "predicate": "proves", "object": "we revisit the effect of cosmological constant @xmath0 on the light deflection and its role in the c"}
{"subject": "math:arxiv_195553", "predicate": "proves", "object": "we provide a microscopic derivation for the non - markovian master equation for an atom - cavity sys"}
{"subject": "math:arxiv_195563", "predicate": "proves", "object": "we construct models of universe with a generalized equation of state @xmath0 having a linear compone"}
{"subject": "math:arxiv_195566", "predicate": "proves", "object": "in global models / priors ( for example , using wavelet frames ) , there is a well known analysis vs"}
{"subject": "math:arxiv_195594", "predicate": "proves", "object": "in this paper we show an example of two differential graded algebras that have the same derivator @x"}
{"subject": "math:arxiv_195603", "predicate": "proves", "object": "* in this paper , by way of three examples  a fourth order low pass active rc filter , a rudimentary"}
{"subject": "math:arxiv_195611", "predicate": "proves", "object": "simion  @xcite conjectured the unimodality of a sequence counting lattice paths in a grid with a fer"}
{"subject": "math:arxiv_195614", "predicate": "proves", "object": "a connection is establisehd between the results of a potential quark model with dynamical masses and"}
{"subject": "math:arxiv_195629", "predicate": "proves", "object": "this paper concerns the reconstruction of an anisotropic conductivity tensor in an elliptic second -"}
{"subject": "math:arxiv_195635", "predicate": "proves", "object": "the aim of this paper is to give an introduction to our axiomatic logical analysis of relativity the"}
{"subject": "math:arxiv_195637", "predicate": "proves", "object": "we set up a strategy for studying large families of logarithmic conformal field theories by using th"}
{"subject": "math:arxiv_195643", "predicate": "proves", "object": "an accurate equation of state of the one component plasma is obtained in the low coupling regime @xm"}
{"subject": "math:arxiv_195665", "predicate": "proves", "object": "we analyse the moduli space and the structure of noncommutative 3-spheres . \n we develop the notion "}
{"subject": "math:arxiv_195670", "predicate": "proves", "object": "trivalent @xmath0-stratifolds are a generalization of @xmath0-manifolds in that there are disjoint s"}
{"subject": "math:arxiv_195691", "predicate": "proves", "object": "by using jackson s q - exponential function we introduce the generating function , the recursive for"}
{"subject": "math:arxiv_195701", "predicate": "proves", "object": "to study the representation category of the triplet @xmath0-algebra @xmath1 that is the symmetry of "}
{"subject": "math:arxiv_195709", "predicate": "proves", "object": "we introduce quantum boolean algebras which are the analogue of the weyl algebras for boolean affine"}
{"subject": "math:arxiv_195714", "predicate": "proves", "object": "assuming _ a - priori _ a smooth generating vector field , we introduce a generally covariant measur"}
{"subject": "math:arxiv_195715", "predicate": "proves", "object": "we show that every holomorphic one - form on a smooth complex projective variety of general type mus"}
{"subject": "math:arxiv_195716", "predicate": "proves", "object": "we construct exact solutions for a system of two nonlinear partial differential equations describing"}
{"subject": "math:arxiv_195722", "predicate": "proves", "object": "motivated by the goldbach conjecture in number theory and the abelian bosonization mechanism on a cy"}
{"subject": "math:arxiv_195724", "predicate": "proves", "object": "this is a survey of recent results on nodal sets of eigenfunctions of the laplacian on riemannian ma"}
{"subject": "math:arxiv_195741", "predicate": "proves", "object": "the notion of configuration temperature is extended to discontinuous systems by identifying the temp"}
{"subject": "math:arxiv_195742", "predicate": "proves", "object": "we give the formula for multiplying a schubert class on an odd orthogonal or symplectic flag manifol"}
{"subject": "math:arxiv_195743", "predicate": "proves", "object": "we show that contracting self - similar groups satisfy the farrell - jones conjectures as soon as th"}
{"subject": "math:arxiv_195748", "predicate": "proves", "object": "in this paper we consider the enumeration of binary trees avoiding non - contiguous binary tree patt"}
{"subject": "math:arxiv_195758", "predicate": "proves", "object": "we find previously unknown families which imply frankl s conjecture for all families that contain th"}
{"subject": "math:arxiv_195760", "predicate": "proves", "object": "we discuss some single particle properties of @xmath0o and @xmath1ca using correlated basis function"}
{"subject": "math:arxiv_195774", "predicate": "proves", "object": "we consider an isolated system in an arbitrary state and provide a general formulation using first p"}
{"subject": "math:arxiv_195777", "predicate": "proves", "object": "in this paper we investigate the algebraic structure related to a new type of correlator associated "}
{"subject": "math:arxiv_195789", "predicate": "proves", "object": "in this paper , we prove existence and uniqueness of measure solutions for the cauchy problem associ"}
{"subject": "math:arxiv_195797", "predicate": "proves", "object": "we develop a stochastic formulation of the optimally - tuned range - separated hybrid density functi"}
{"subject": "math:arxiv_195809", "predicate": "proves", "object": "we derive a formula for the weight system of the multivariable alexander polynomial using determinan"}
{"subject": "math:arxiv_195819", "predicate": "proves", "object": "the borsuk - ulam theorem states that a continuous function @xmath0 has a point @xmath1 with @xmath2"}
{"subject": "math:arxiv_195833", "predicate": "proves", "object": "we derive analytical formulae for the firing rate of integrate - and - fire neurons endowed with rea"}
{"subject": "math:arxiv_195851", "predicate": "proves", "object": "we consider a hamiltonian @xmath0 action on a compact symplectic manifold @xmath1 with @xmath2 isola"}
{"subject": "math:arxiv_195867", "predicate": "proves", "object": "in this note we show that there are 4-manifolds not containing gompf nucleus @xmath0 ; in this way w"}
{"subject": "math:arxiv_195875", "predicate": "proves", "object": "we show that any open subset of a contact manifold of dimension greater than three contains a certai"}
{"subject": "math:arxiv_195879", "predicate": "proves", "object": "in this paper we derive equations describing dynamics and stationary configurations of a twisted ful"}
{"subject": "math:arxiv_195881", "predicate": "proves", "object": "in this paper , we examine how well a rational point @xmath0 on an algebraic variety @xmath1 can be "}
{"subject": "math:arxiv_195905", "predicate": "proves", "object": "an on - demand single - photon source is a fundamental building block in quantum science and technol"}
{"subject": "math:arxiv_195911", "predicate": "proves", "object": "the @xmath0 plane , defined by the equation of state parameter for the dark energy and its derivativ"}
{"subject": "math:arxiv_195918", "predicate": "proves", "object": "we report the novel preparation of single crystals of tetragonal iron sulfide , fes , which exhibits"}
{"subject": "math:arxiv_195924", "predicate": "proves", "object": "using a recently developed off - shell formulation for general 4d @xmath0 supergravity - matter syst"}
{"subject": "math:arxiv_195932", "predicate": "proves", "object": "we consider the qkz equations based on the two boundaries temperley lieb algebra . \n we construct th"}
{"subject": "math:arxiv_195933", "predicate": "proves", "object": "we present a systematic calculation of the volumes of _ compact _ manifolds which appear in physics "}
{"subject": "math:arxiv_195937", "predicate": "proves", "object": "recent results in compressive sensing have shown that , under certain conditions , the solution to a"}
{"subject": "math:arxiv_195944", "predicate": "proves", "object": "years ago s. weinberg suggested the `` quasi - particle '' method ( q - p ) for iteratively solving "}
{"subject": "math:arxiv_195959", "predicate": "proves", "object": "we develop an analytic approach to study inhomogeneous reionization on large scales by solving the e"}
{"subject": "math:arxiv_195982", "predicate": "proves", "object": "let @xmath0 be a second countable , locally compact groupoid with haar system , and let @xmath1 be a"}
{"subject": "math:arxiv_195986", "predicate": "proves", "object": "the milnor conjecture has been a driving force in the theory of quadratic forms over fields , guidin"}
{"subject": "math:arxiv_195988", "predicate": "proves", "object": "in this paper we completely classify symplectic actions of a torus @xmath0 on a compact connected sy"}
{"subject": "math:arxiv_195993", "predicate": "proves", "object": "the kadomtsev - petviashvili ( kp ) equation possesses a four - parameter family of one - dimensiona"}
{"subject": "math:arxiv_195994", "predicate": "proves", "object": "recent theoretical developments in the four - boson system with resonant interactions are described "}
{"subject": "math:arxiv_195995", "predicate": "proves", "object": "we study the problem of convergence to equilibrium for evolution equations associated to general qua"}
{"subject": "math:arxiv_196008", "predicate": "proves", "object": "this paper exhibits a product - to - sum formula for the observables of a certain quantization of th"}
{"subject": "math:arxiv_196010", "predicate": "proves", "object": "in this paper we consider the moutard transformation @xcite which is a two - dimensional version of "}
{"subject": "math:arxiv_196020", "predicate": "proves", "object": "we have applied the torus fitting procedure described in ng & romani ( 2004 ) to pwne observations i"}
{"subject": "math:arxiv_196026", "predicate": "proves", "object": "we consider the discretization in time of a system of parabolic stochastic partial differential equa"}
{"subject": "math:arxiv_196027", "predicate": "proves", "object": "a new formulation of chiral fermions on the lattice is presented . \n it is a version of overlap ferm"}
{"subject": "math:arxiv_196032", "predicate": "proves", "object": "consider a family of random ordinary differential equations on a manifold driven by vector fields of"}
{"subject": "math:arxiv_196035", "predicate": "proves", "object": "exact solution of the schrdinger equation is given for a particle inside a hard sphere whose wall is"}
{"subject": "math:arxiv_196043", "predicate": "proves", "object": "the hardy space @xmath0 for the upper half plane together with a unimodular function group represent"}
{"subject": "math:arxiv_196045", "predicate": "proves", "object": "the so called gell - mann formula expresses the lie algebra elements in terms of the corresponding i"}
{"subject": "math:arxiv_196051", "predicate": "proves", "object": "finite difference schemes are here solved by means of a linear matrix equation . \n the theoretical s"}
{"subject": "math:arxiv_196076", "predicate": "proves", "object": "we formulate the the problem of persistent diffusion in three dimensions from the perspective of the"}
{"subject": "math:arxiv_196077", "predicate": "proves", "object": "we derive an asymptotic equation for quasi - static , nonlinear surface plasmons propagating on a pl"}
{"subject": "math:arxiv_196085", "predicate": "proves", "object": "such modern applications of topology as digital image analysis and data analysis have to deal with n"}
{"subject": "math:arxiv_196115", "predicate": "proves", "object": "the problem of random motion of 1d quantum reactive harmonic oscillator ( qrho ) is formulated in te"}
{"subject": "math:arxiv_196122", "predicate": "proves", "object": "we use series markovian coding for words in fuchsian groups and the bowen - series coding of limit s"}
{"subject": "math:arxiv_196141", "predicate": "proves", "object": "we analyze the escape of brownian particles over potential barriers using the fokker - planck equati"}
{"subject": "math:arxiv_196149", "predicate": "proves", "object": "we consider quantum invariants of 3-manifolds associated with arbitrary simple lie algebras . \n usin"}
{"subject": "math:arxiv_196151", "predicate": "proves", "object": "a new method is presented for fourier decomposition of the helmholtz green function in cylindrical c"}
{"subject": "math:arxiv_196153", "predicate": "proves", "object": "we extend several well - known tools from the theory of second - order divergence - form elliptic eq"}
{"subject": "math:arxiv_196155", "predicate": "proves", "object": "we have obtained all the density matrix elements on six lattice sites for the spin-1/2 heisenberg ch"}
{"subject": "math:arxiv_196156", "predicate": "proves", "object": "based on a unified theoretical treatment of the 1d bogoliubov - de genes equations , the superfluidi"}
{"subject": "math:arxiv_196160", "predicate": "proves", "object": "the main result of this paper is the following version of the real jacobian conjecture : `` let @xma"}
{"subject": "math:arxiv_196172", "predicate": "proves", "object": "in this paper , we introduce a new method to construct evolving networks based on the construction o"}
{"subject": "math:arxiv_196187", "predicate": "proves", "object": "the maskin s theorem is a fundamental work in the theory of mechanism design . in this paper \n , we "}
{"subject": "math:arxiv_196197", "predicate": "proves", "object": "we present stellar evolutionary models covering the mass range from 0.4 to 1 m@xmath0 calculated for"}
{"subject": "math:arxiv_196218", "predicate": "proves", "object": "we present a comparison of three different types of langevin equation exhibiting absorbing states : "}
{"subject": "math:arxiv_196221", "predicate": "proves", "object": "let @xmath0 be a @xmath1th root of unity where @xmath2 is odd . \n let @xmath3 denote the quantum gro"}
{"subject": "math:arxiv_196235", "predicate": "proves", "object": "predictions of the ccfm evolution equation for @xmath0 and forward jets at hera energies are obtaine"}
{"subject": "math:arxiv_196236", "predicate": "proves", "object": "we investigate the effects of the purely toroidal magnetic field on the equilibrium structures of th"}
{"subject": "math:arxiv_196241", "predicate": "proves", "object": "the exact solutions of the complete ( 1 + 3)-dimensional dirac equation of fermions moving in ideal "}
{"subject": "math:arxiv_196272", "predicate": "proves", "object": "the hall conductivity given by the kubo formula is a linear response of the quantum transverse trans"}
{"subject": "math:arxiv_196279", "predicate": "proves", "object": "we present a formula for the values of the sign representations of the complex reflection groups @xm"}
{"subject": "math:arxiv_196286", "predicate": "proves", "object": "let @xmath0 be a torus over an algebraically closed field @xmath1 of characteristic @xmath2 , and co"}
{"subject": "math:arxiv_196311", "predicate": "proves", "object": "many partially - successful attempts have been made to find the most natural discrete - variable ver"}
{"subject": "math:arxiv_196325", "predicate": "proves", "object": "a version of the vacuum conservation theorem is proved which does not assume the existence of a time"}
{"subject": "math:arxiv_196351", "predicate": "proves", "object": "a posteriori estimates for mixed finite element discretizations of the navier - stokes equations are"}
{"subject": "math:arxiv_196356", "predicate": "proves", "object": "we investigate some new similarity inhomogeneous solutions of anisotropic dark energy and perfect fl"}
{"subject": "math:arxiv_196357", "predicate": "proves", "object": "given a finite cover @xmath0 and an embedding of @xmath1 in the plane , negami conjectures that @xma"}
{"subject": "math:arxiv_196358", "predicate": "proves", "object": "we conjecture polynomial identities which imply rogers  ramanujan type identities for branching func"}
{"subject": "math:arxiv_196360", "predicate": "proves", "object": "we study the existence and cardinality of normal geodesics of different causal types on @xmath0-type"}
{"subject": "math:arxiv_196363", "predicate": "proves", "object": "scharlemann and thompson define a numerical complexity for a @xmath0-manifold using handle decomposi"}
{"subject": "math:arxiv_196364", "predicate": "proves", "object": "the response of low - dimensional solid objects combines geometry and physics in unusual ways , exem"}
{"subject": "math:arxiv_196379", "predicate": "proves", "object": "this note proves that , for @xmath0 or @xmath1 , the bordism classes of all non - bounding grassmann"}
{"subject": "math:arxiv_196382", "predicate": "proves", "object": "for the plane symmetry we have found the electro - vacuum exact solutions of the einstein - maxwell "}
{"subject": "math:arxiv_196385", "predicate": "proves", "object": "we study the situation where we have two exceptional dehn fillings on a given hyperbolic @xmath0-man"}
{"subject": "math:arxiv_196390", "predicate": "proves", "object": "* keywords : * discriminant of the space of knots , bialgebra of chord diagrams , hochschild complex"}
{"subject": "math:arxiv_196404", "predicate": "proves", "object": "the process @xmath0 is treated by means of three - body integral equations employing in their kernel"}
{"subject": "math:arxiv_196421", "predicate": "proves", "object": "in this paper we consider the non - cutoff boltzmann equation in spatially inhomogeneous case . \n we"}
{"subject": "math:arxiv_196424", "predicate": "proves", "object": "in this paper we obtain a heavy meson bound state equation from the heavy quark equation of motion i"}
{"subject": "math:arxiv_196441", "predicate": "proves", "object": "we define a new algebra , which can formally be considered as a @xmath0 deformed @xmath1 lie algebra"}
{"subject": "math:arxiv_196447", "predicate": "proves", "object": "the alt - grassberger - sandhas equations for the five - body @xmath0 problem are solved for the cas"}
{"subject": "math:arxiv_196474", "predicate": "proves", "object": "we establish the unique solvability of a coupling problem for entire functions which arises in inver"}
{"subject": "math:arxiv_196480", "predicate": "proves", "object": "in the collective - risk social dilemma , players lose their personal endowments if contributions to"}
{"subject": "math:arxiv_196498", "predicate": "proves", "object": "we define skew schubert polynomials to be normal form ( polynomial ) representatives of certain clas"}
{"subject": "math:arxiv_196500", "predicate": "proves", "object": "chiral properties of qcd formulated with the domain - wall fermion ( dwqcd ) are studied using the a"}
{"subject": "math:arxiv_196510", "predicate": "proves", "object": "in this work we compare two different approaches to calculation of the three - body resonances on th"}
{"subject": "math:arxiv_196533", "predicate": "proves", "object": "our purpose is to classify acyclic 4-manifolds having shadow complexity zero . in this paper , we fo"}
{"subject": "math:arxiv_196535", "predicate": "proves", "object": "let @xmath0 be a singular real rational surface obtained from a smooth real rational surface by perf"}
{"subject": "math:arxiv_196538", "predicate": "proves", "object": "we present results for 2d and 4d systems on lattices with topology homotopic to the surface of a ( h"}
{"subject": "math:arxiv_196540", "predicate": "proves", "object": "in this paper , we prove some isomorphisms theorems between teichmller spaces of non - orientable co"}
{"subject": "math:arxiv_196543", "predicate": "proves", "object": "we prove the conjectural formula for the @xmath0 volume of the space of degree @xmath1 holomorphic m"}
{"subject": "math:arxiv_196548", "predicate": "proves", "object": "we formulate the hubbard model for the simple cubic lattice in the representation of interacting dim"}
{"subject": "math:arxiv_196554", "predicate": "proves", "object": "we study the attractor equations for a quantum corrected prepotential @xmath0 , with @xmath1,which i"}
{"subject": "math:arxiv_196555", "predicate": "proves", "object": "in this paper , we investigate the entanglement degrees of pseudoscalar meson states via quantum alg"}
{"subject": "math:arxiv_196558", "predicate": "proves", "object": "this paper explores a refinement of homological mirror symmetry which relates exact symplectic topol"}
{"subject": "math:arxiv_196582", "predicate": "proves", "object": "the study of actions of countable groups by automorphisms of compact abelian groups has recently und"}
{"subject": "math:arxiv_196591", "predicate": "proves", "object": "we present a dissipative algorithm for solving nonlinear wave - like equations when the initial data"}
{"subject": "math:arxiv_196598", "predicate": "proves", "object": "the alternative to the standard formulation of the quark - parton model is proposed . \n our relativi"}
{"subject": "math:arxiv_196607", "predicate": "proves", "object": "consider a hamiltonian action of a compact connected lie group on a symplectic manifold @xmath0 . \n "}
{"subject": "math:arxiv_196613", "predicate": "proves", "object": "we present a new approach for calculating the nuclear equation of state and compressibility for fini"}
{"subject": "math:arxiv_196674", "predicate": "proves", "object": "we develop an algebraic representation for @xmath0-knots using the mapping class group of the twice "}
{"subject": "math:arxiv_196675", "predicate": "proves", "object": "we consider the defocusing , @xmath0-critical hartree equation for the radial data in all dimensions"}
{"subject": "math:arxiv_196678", "predicate": "proves", "object": "let @xmath0 be a field and @xmath1 $ ] . in 1982 , stanley defined what is now called the stanley de"}
{"subject": "math:arxiv_196681", "predicate": "proves", "object": "we find the precise number of non - khler @xmath0-invariant einstein metrics on the generalized flag"}
{"subject": "math:arxiv_196686", "predicate": "proves", "object": "the beat time @xmath0 associated with the energy transfer between two coupled oscillators is dictate"}
{"subject": "math:arxiv_196687", "predicate": "proves", "object": "we prove the main conjecture from @xcite concerning the metric dependence and asymptotic minimizatio"}
{"subject": "math:arxiv_196688", "predicate": "proves", "object": "in @xcite , conjecture 0.6 , the first three authors conjectured that the ring of regular functions "}
{"subject": "math:arxiv_196704", "predicate": "proves", "object": "we investigate excitations and fluctuations of bose - einstein condensates in a two - dimensional to"}
{"subject": "math:arxiv_196705", "predicate": "proves", "object": "let us fix a conformal class @xmath0 $ ] and a spin structure @xmath1 on a compact manifold @xmath2 "}
{"subject": "math:arxiv_196708", "predicate": "proves", "object": "we illuminate the relation between the bruhat order and structure constants for the polynomial ring "}
{"subject": "math:arxiv_196712", "predicate": "proves", "object": "the main objective of this article is to derive a new set of gravitational field equations and to es"}
{"subject": "math:arxiv_196741", "predicate": "proves", "object": "three schemes , whose expressions are not too complex , are selected for the numerical integration o"}
{"subject": "math:arxiv_196763", "predicate": "proves", "object": "we study a one - parameter family of vector - valued polynomials associated to each simple lie algeb"}
{"subject": "math:arxiv_196775", "predicate": "proves", "object": "we study the sensitivities of the directed flow in au+au collisions on the equation of state ( eos )"}
{"subject": "math:arxiv_196808", "predicate": "proves", "object": "transport coefficients associated with the mass flux of a binary mixture of maxwell molecules under "}
{"subject": "math:arxiv_196812", "predicate": "proves", "object": "we introduce the galactic bulge survey ( gbs ) and we provide the source list for the region that ha"}
{"subject": "math:arxiv_196854", "predicate": "proves", "object": "we study the constraints on dark energy equation of state @xmath0 and the deceleration parameter @xm"}
{"subject": "math:arxiv_196866", "predicate": "proves", "object": "we introduce a general procedure called ` reverse engineering ' that can be used to construct infini"}
{"subject": "math:arxiv_196868", "predicate": "proves", "object": "explicit connection coefficients and monodromy representations are constructed for the canonical sol"}
{"subject": "math:arxiv_196872", "predicate": "proves", "object": "54.8pt 54.8pt we study paramagnetic - ferromagnetic transition due to exchange interaction between c"}
{"subject": "math:arxiv_196885", "predicate": "proves", "object": "the fractional nonlocal linearized monge \n ampre equation is introduced . a harnack inequality for n"}
{"subject": "math:arxiv_196903", "predicate": "proves", "object": "the famous de boor conjecture states that the condition of the polynomial b - spline collocation mat"}
{"subject": "math:arxiv_196921", "predicate": "proves", "object": "root - reductive lie algebras are direct limits of finite - dimensional reductive lie algebras under"}
{"subject": "math:arxiv_196933", "predicate": "proves", "object": "under general conditions , the equation @xmath0 implicitly defines @xmath1 locally as a function of "}
{"subject": "math:arxiv_196934", "predicate": "proves", "object": "this letter gives approximations to an integral appearing in the formula for downlink coverage proba"}
{"subject": "math:arxiv_196937", "predicate": "proves", "object": "varied sensory systems use noise in order to enhance detection of weak signals . \n it has been conje"}
{"subject": "math:arxiv_196952", "predicate": "proves", "object": "we prove a generalized implicit function theorem for banach spaces , without the usual assumption th"}
{"subject": "math:arxiv_196955", "predicate": "proves", "object": "recent high precision data by wmap and sdss have provided strong evidence to suggest that the univer"}
{"subject": "math:arxiv_196961", "predicate": "proves", "object": "time evolution of wave packets built from the eigenstates of the dirac equation for a hydrogenic sys"}
{"subject": "math:arxiv_196967", "predicate": "proves", "object": "in the framework of the ginzburg - landau equation , the temperature dependence of the upper critica"}
{"subject": "math:arxiv_196975", "predicate": "proves", "object": "we give an overview of recent advances in analysis of equations of electrodynamics with the aid of b"}
{"subject": "math:arxiv_196988", "predicate": "proves", "object": "we present an algorithm which computes a cylindrical algebraic decomposition of a semialgebraic set "}
{"subject": "math:arxiv_197020", "predicate": "proves", "object": "a discrete version of the two - dimensional inverse scattering problem is considered . on this basis"}
{"subject": "math:arxiv_197023", "predicate": "proves", "object": "we develop numerical algorithms for the efficient evaluation of quantities associated with generaliz"}
{"subject": "math:arxiv_197027", "predicate": "proves", "object": "in this paper we introduce a link between geometry of ordinary continued fractions and trajectories "}
{"subject": "math:arxiv_197032", "predicate": "proves", "object": "we develop an alternative method to solve the eilenberger equations numerically for the vortex - lat"}
{"subject": "math:arxiv_197042", "predicate": "proves", "object": "the quantum size effect on the in - plane paramagnetic critical field in pb nanofilms is investigate"}
{"subject": "math:arxiv_197045", "predicate": "proves", "object": "a simplified model of the tumor angiogenesis can be described by a keller - segel equation @xcite . "}
{"subject": "math:arxiv_197046", "predicate": "proves", "object": "we present a new proof of the burkholder  davis  gundy inequalities for @xmath0 . \n the novelty of o"}
{"subject": "math:arxiv_197048", "predicate": "proves", "object": "we investigate the angular distribution of photons in the coherent bremsstrahlung process by high - "}
{"subject": "math:arxiv_197051", "predicate": "proves", "object": "a method based on a differential algebraic equation ( dae ) approach is employed to find stationary "}
{"subject": "math:arxiv_197052", "predicate": "proves", "object": "we analytically solved the qed@xmath0qcd coupled dglap evolution equations at leading order ( lo ) q"}
{"subject": "math:arxiv_197073", "predicate": "proves", "object": "boundary - induced pattern formation from a spatially uniform state is investigated using one - dime"}
{"subject": "math:arxiv_197087", "predicate": "proves", "object": "we present a simple one  dimensional quantum  mechanical model for a particle attached to a surface "}
{"subject": "math:arxiv_197088", "predicate": "proves", "object": "in this paper , we present our general results about traversing flows on manifolds with boundary in "}
{"subject": "math:arxiv_197089", "predicate": "proves", "object": "the micropolar equations are a useful generalization of the classical navier - stokes model for flui"}
{"subject": "math:arxiv_197091", "predicate": "proves", "object": "this paper focuses on the study of open curves in a riemannian manifold @xmath0 , and proposes a rep"}
{"subject": "math:arxiv_197108", "predicate": "proves", "object": "in this work , stroh s formalism is endowed with causal properties on the basis of an analysis of th"}
{"subject": "math:arxiv_197114", "predicate": "proves", "object": "we associate with every renner monoid  @xmath0 a _ generic hecke algebra _ \n @xmath1 over  @xmath2 $"}
{"subject": "math:arxiv_197117", "predicate": "proves", "object": "the harmonic mapping problem asks when there exists a harmonic homeomorphism between two given domai"}
{"subject": "math:arxiv_197119", "predicate": "proves", "object": "we have derived exact solutions of the isothermal lane  emden equation with and without rotation in "}
{"subject": "math:arxiv_197132", "predicate": "proves", "object": "in this paper , the hyperkhler contact distribution of a 3-sasakian manifold is studied . to analyze"}
{"subject": "math:arxiv_197134", "predicate": "proves", "object": "we derive a generalised van cittert - zernike ( vc - z ) theorem for radio astronomy that is valid f"}
{"subject": "math:arxiv_197136", "predicate": "proves", "object": "in this article we study a class of stochastic functional differential equations driven by lvy proce"}
{"subject": "math:arxiv_197142", "predicate": "proves", "object": "we summarize recent results connecting multiloop feynman diagram calculations to different parts of "}
{"subject": "math:arxiv_197148", "predicate": "proves", "object": "we consider a system of two discrete nonlinear schrdinger equations , coupled by nonlinear and linea"}
{"subject": "math:arxiv_197157", "predicate": "proves", "object": "we introduce a universally applicable method , based on the bond - algebraic theory of dualities , t"}
{"subject": "math:arxiv_197158", "predicate": "proves", "object": "a consolidated mathematical formulation of the spherically symmetric mass - transfer problem is pres"}
{"subject": "math:arxiv_197173", "predicate": "proves", "object": "i use the newtonian equation of hydrostatic equilibrium for an isotropic fluid sphere to generate ex"}
{"subject": "math:arxiv_197179", "predicate": "proves", "object": "dynamics and collapse of collisionless self - gravitating systems is described by the coupled collis"}
{"subject": "math:arxiv_197182", "predicate": "proves", "object": "we give explicit multiplicities and formulas for multiplicities of characters appearing in the decom"}
{"subject": "math:arxiv_197190", "predicate": "proves", "object": "we present a new derivation of the fresnel - fizeau formula for the drag of light by a moving medium"}
{"subject": "math:arxiv_197196", "predicate": "proves", "object": "using the riemann - hilbert approach , the @xmath0-function corresponding to the solution of the fir"}
{"subject": "math:arxiv_197197", "predicate": "proves", "object": "we consider a non - local phase transition equation set in a periodic medium and we construct soluti"}
{"subject": "math:arxiv_197221", "predicate": "proves", "object": "we derive the gauge invariant perturbation equations for a @xmath0-dimensional bulk spacetime in the"}
{"subject": "math:arxiv_197242", "predicate": "proves", "object": "in this paper we study the geometry of mildly singular fano varieties on which there is an effective"}
{"subject": "math:arxiv_197269", "predicate": "proves", "object": "we derive and study a quantum group @xmath0 that is kazhdan  lusztig - dual to the @xmath1-algebra @"}
{"subject": "math:arxiv_197273", "predicate": "proves", "object": "we discuss numerical solutions of einstein s field equation describing static , spherically symmetri"}
{"subject": "math:arxiv_197279", "predicate": "proves", "object": "a method is provided for approximating random slow manifolds of a class of slow - fast stochastic dy"}
{"subject": "math:arxiv_197303", "predicate": "proves", "object": "the amoeba of an affine algebraic variety @xmath0 is the image of @xmath1 under the map @xmath2 . we"}
{"subject": "math:arxiv_197304", "predicate": "proves", "object": "we extend goldie s ( 1991 ) implicit renewal theorem to enable the analysis of recursions on weighte"}
{"subject": "math:arxiv_197339", "predicate": "proves", "object": "gravitational waves ( gw ) are propagated perturbations of the space - time geometry , and they show"}
{"subject": "math:arxiv_197359", "predicate": "proves", "object": "we consider a class of stochastic reaction - diffusion equations also having a stochastic perturbati"}
{"subject": "math:arxiv_197363", "predicate": "proves", "object": "this paper proves that contractive ordinary differential equation systems remain contractive when di"}
{"subject": "math:arxiv_197373", "predicate": "proves", "object": "we propose in this work a fast numerical algorithm for solving the equation of radiative transfer ( "}
{"subject": "math:arxiv_197384", "predicate": "proves", "object": "to study the lawson - osserman s counterexample @xcite to the bernstein problem for minimal submanif"}
{"subject": "math:arxiv_197395", "predicate": "proves", "object": "by means of a scaling ansatz , we investigate an approximated solution of the boltzmann - vlasov equ"}
{"subject": "math:arxiv_197397", "predicate": "proves", "object": "let @xmath0 be a linear differential operator with coefficients in some differential field @xmath1 o"}
{"subject": "math:arxiv_197405", "predicate": "proves", "object": "we report on four @xmath0 s and three @xmath1 s , in the 1500 - 1800 mev region , as two meson - one"}
{"subject": "math:arxiv_197411", "predicate": "proves", "object": "the thirring model and various generalizations of it are analyzed in detail . \n the four - fermi int"}
{"subject": "math:arxiv_197417", "predicate": "proves", "object": "we construct models of universe with a generalized equation of state @xmath0 having a linear compone"}
{"subject": "math:arxiv_197431", "predicate": "proves", "object": "we induce a poisson algebra @xmath0 on the configuration space @xmath1 of @xmath2 twisted polygons i"}
{"subject": "math:arxiv_197436", "predicate": "proves", "object": "we study algebraic conditions on a group @xmath0 under which every properly discontinuous , isometri"}
{"subject": "math:arxiv_197438", "predicate": "proves", "object": "we study the long - time behavior of infinite - energy solutions to the incompressible navier - stok"}
{"subject": "math:arxiv_197453", "predicate": "proves", "object": "the @xmath0 topology on the skorokhod space was introduced by the author in 1997 and since then it p"}
{"subject": "math:arxiv_197458", "predicate": "proves", "object": "we describe the asymptotic behaviour and the stability properties of the solutions to the nonlinear "}
{"subject": "math:arxiv_197482", "predicate": "proves", "object": "the general exact solution of the einstein - matter field equations describing spherically symmetric"}
{"subject": "math:arxiv_197483", "predicate": "proves", "object": "let @xmath0 be a unital commutative associative algebra over a field of characteristic zero , @xmath"}
{"subject": "math:arxiv_197495", "predicate": "proves", "object": "this paper introduces an intersection theory problem for maps into a smooth manifold equipped with a"}
{"subject": "math:arxiv_197546", "predicate": "proves", "object": "according to the orbit method , the construction of a unitary irreducible representation of a nilpot"}
{"subject": "math:arxiv_197547", "predicate": "proves", "object": "atlas has chosen for its hadronic end - cap calorimeter ( hec ) the copper - liquid argon sampling t"}
{"subject": "math:arxiv_197560", "predicate": "proves", "object": "in this paper we describe braid equivalence for knots and links in a 3-manifold @xmath0 obtained by "}
{"subject": "math:arxiv_197561", "predicate": "proves", "object": "in this paper , we present a new formulation of lorentz transformations using a metric that quantifi"}
{"subject": "math:arxiv_197563", "predicate": "proves", "object": "current dissipation in thin superconducting wires is numerically evaluated by using the string metho"}
{"subject": "math:arxiv_197570", "predicate": "proves", "object": "we describe a natural strategy to enumerate compact hyperbolic @xmath0-manifolds with geodesic bound"}
{"subject": "math:arxiv_197628", "predicate": "proves", "object": "smn is ferromagnetic below 27 k , and its net magnetic moment of 0.03 bohr magnetons per formula uni"}
{"subject": "math:arxiv_197651", "predicate": "proves", "object": "the paper introduces the slope conjecture which relates the degree of the jones polynomial of a knot"}
{"subject": "math:arxiv_197654", "predicate": "proves", "object": "an asymptotic formula is established for the number of @xmath0-rational points of bounded height on "}
{"subject": "math:arxiv_197657", "predicate": "proves", "object": "in this article we discuss the existence of local time for a class of gaussian processes which appea"}
{"subject": "math:arxiv_197663", "predicate": "proves", "object": "we propose a general method for the description of arbitrary single spin-@xmath0 states transforming"}
{"subject": "math:arxiv_197664", "predicate": "proves", "object": "the discovery of the quantised hall effect , and its subsequent topological explanation , demonstrat"}
{"subject": "math:arxiv_197682", "predicate": "proves", "object": "ore operators form a common algebraic abstraction of linear ordinary differential and recurrence equ"}
{"subject": "math:arxiv_197700", "predicate": "proves", "object": "we make a systematic investigation of the generic properties of static , spherically symmetric , asy"}
{"subject": "math:arxiv_197710", "predicate": "proves", "object": "we investigate the possibility of measuring magnetic field strength in g - band bright points throug"}
{"subject": "math:arxiv_197718", "predicate": "proves", "object": "from the view of heegaard splitting , it is known that if a closed orientable 3-manifold admits a di"}
{"subject": "math:arxiv_197728", "predicate": "proves", "object": "in this paper we present an alternative viewpoint on recent studies of regularity of solutions to th"}
{"subject": "math:arxiv_197730", "predicate": "proves", "object": "we consider a mixed chaotic hamiltonian system and compare classical with quantum chaos . as alterna"}
{"subject": "math:arxiv_197736", "predicate": "proves", "object": "an explicit equation of the propagational angle of microwave emission between the line - of - sight "}
{"subject": "math:arxiv_197741", "predicate": "proves", "object": "knowledge of the equation of state of the baryon matter plays a decisive role in the description of "}
{"subject": "math:arxiv_197747", "predicate": "proves", "object": "the rainbow truncation of the quark dyson \n schwinger equation is combined with the ladder bethe \n s"}
{"subject": "math:arxiv_197769", "predicate": "proves", "object": "the main purpose of this article is to demonstrate three techniques for proving algebraicity stateme"}
{"subject": "math:arxiv_197779", "predicate": "proves", "object": "we study contact manifolds that arise as cyclic branched covers of transverse knots in the standard "}
{"subject": "math:arxiv_197789", "predicate": "proves", "object": "in this paper we study the growth rate of a version of legendrian contact homology , which we call s"}
{"subject": "math:arxiv_197792", "predicate": "proves", "object": "we investigate universal behavior in the recombination rate of three bosons close to threshold . usi"}
{"subject": "math:arxiv_197800", "predicate": "proves", "object": "the aim of this note is to characterize all pairs of sufficiently smooth functions for which the mea"}
{"subject": "math:arxiv_197817", "predicate": "proves", "object": "the calculus correspondence has been known to exist between generic pedal evolutions and generic wav"}
{"subject": "math:arxiv_197822", "predicate": "proves", "object": "we investigate the behaviour of solutions @xmath0 to the one - dimensional nonlinear wave equation @"}
{"subject": "math:arxiv_197827", "predicate": "proves", "object": "we study asymptotic behaviour at time infinity of solutions close to the non - zero constant equilib"}
{"subject": "math:arxiv_197839", "predicate": "proves", "object": "the motion of a massive test particle in a schwarzschild spacetime surrounded by a perfect fluid wit"}
{"subject": "math:arxiv_197860", "predicate": "proves", "object": "we propose new jump - adapted weak approximation schemes for stochastic differential equations drive"}
{"subject": "math:arxiv_197863", "predicate": "proves", "object": "a significant group of problems coming from the realm of combinatorial geometry can be approached fr"}
{"subject": "math:arxiv_197868", "predicate": "proves", "object": "the multiadaptive continuous / discontinuous galerkin methods @xmath0 and @xmath1 for the numerical "}
{"subject": "math:arxiv_197873", "predicate": "proves", "object": "we introduce the combinatorial notion of posetted trees and we use it in order to write an explicit "}
{"subject": "math:arxiv_197887", "predicate": "proves", "object": "a coulomb sum rule is derived for the response of nuclei to @xmath0 scattering with large three - mo"}
{"subject": "math:arxiv_197902", "predicate": "proves", "object": "the validity of distance duality relation , @xmath0 , an exact result required by the etherington re"}
{"subject": "math:arxiv_197908", "predicate": "proves", "object": "we consider the navier - stokes equation in a domain with irregular boundaries . \n the irregularity "}
{"subject": "math:arxiv_197924", "predicate": "proves", "object": "the geometry of a light wavefront , evolving from a initial flat wavefront in the 3-space associated"}
{"subject": "math:arxiv_197928", "predicate": "proves", "object": "let @xmath0 be a cusped 3manifold , and let @xmath1 be an ideal triangulation of @xmath2 the deforma"}
{"subject": "math:arxiv_197936", "predicate": "proves", "object": "we give an overview of some properties of lie algebras generated by at most @xmath0 extremal element"}
{"subject": "math:arxiv_197938", "predicate": "proves", "object": "we present a complete set of formulas for longitudinal momentum distribution functions ( splitting f"}
{"subject": "math:arxiv_197943", "predicate": "proves", "object": "we produce examples of taut foliations of hyperbolic @xmath0manifolds which are @xmath1covered but n"}
{"subject": "math:arxiv_197960", "predicate": "proves", "object": "we study continuous countably piecewise monotone interval maps , and formulate conditions under whic"}
{"subject": "math:arxiv_197963", "predicate": "proves", "object": "seymour and , independently , kelmans conjectured in the 1970s that every 5-connected nonplanar grap"}
{"subject": "math:arxiv_197971", "predicate": "proves", "object": "we relate duality mappings to the  babbage equation \" @xmath0 , with @xmath1 a map linking weak- to "}
{"subject": "math:arxiv_197977", "predicate": "proves", "object": "a heavy quark placed in the medium modifies its specific heat . using a renormalization group argume"}
{"subject": "math:arxiv_197994", "predicate": "proves", "object": "we have constructed a heisenberg - type algebra generated by the hamiltonian , the step operators an"}
{"subject": "math:arxiv_197997", "predicate": "proves", "object": "le thme de larticle est fourni par la conjecture empirique suivante : une hypersurface ferme @xmath0"}
{"subject": "math:arxiv_197998", "predicate": "proves", "object": "we study a one - dimensional equation arising in the multiscale modeling of some non - newtonian flu"}
{"subject": "math:arxiv_198001", "predicate": "proves", "object": "quasiclassical approximation in the intrinsic description of the vortex filament dynamics is discuss"}
{"subject": "math:arxiv_198013", "predicate": "proves", "object": "while small ball , or lower tail , asymptotic for gaussian measures generated by solutions of stocha"}
{"subject": "math:arxiv_198022", "predicate": "proves", "object": "we study the massive ode / im correspondence for modified @xmath0 affine toda field equation . based"}
{"subject": "math:arxiv_198029", "predicate": "proves", "object": "it is well - known ( cf . \n k .- \n pudlk@xcite ) that a polynomial time algorithm finding tautologie"}
{"subject": "math:arxiv_198032", "predicate": "proves", "object": "this talk is about solving cosmological equations analytically without approximations , and discover"}
{"subject": "math:arxiv_198033", "predicate": "proves", "object": "this paper is devoted to the study of the stochastic fixed - point equation @xmath0 and the connecti"}
{"subject": "math:arxiv_198036", "predicate": "proves", "object": "if a real value invariant of closed combinatorial manifolds admits a local formula that depends only"}
{"subject": "math:arxiv_198039", "predicate": "proves", "object": "we construct a compact phase space for flat flrw spacetimes with standard matter described by a perf"}
{"subject": "math:arxiv_198048", "predicate": "proves", "object": "it is shown that use of the equation of motion of the universe scale factor allows calculation of th"}
{"subject": "math:arxiv_198072", "predicate": "proves", "object": "a consistent model for the description of non - maxwellian nuclear processes in the solar core trigg"}
{"subject": "math:arxiv_198073", "predicate": "proves", "object": "we obtain formulas for the growth rate of the numbers of certain paths in a multi - dimensional anal"}
{"subject": "math:arxiv_198074", "predicate": "proves", "object": "an introduction to geography of log models with applications to positive cones of ft varieties and t"}
{"subject": "math:arxiv_198095", "predicate": "proves", "object": "we study the yamabe invariants of cylindrical manifolds and compact orbifolds with a finite number o"}
{"subject": "math:arxiv_198097", "predicate": "proves", "object": "we present results from a comprehensive analytical and numerical study of nonequilibrium dynamics in"}
{"subject": "math:arxiv_198107", "predicate": "proves", "object": "the contributions to non - singlet evolution kernels @xmath0 , for the dglap equation , and @xmath1 "}
{"subject": "math:arxiv_198138", "predicate": "proves", "object": "regarding a @xmath0dimensional spherically symmetric line element in the context of einstein-@xmath1"}
{"subject": "math:arxiv_198150", "predicate": "proves", "object": "we give reconstruction formulas inverting the geodesic x - ray transform over functions ( call it @x"}
{"subject": "math:arxiv_198153", "predicate": "proves", "object": "in this paper we propose an asymptotic preserving scheme for a family of friedrichs systems on unstr"}
{"subject": "math:arxiv_198157", "predicate": "proves", "object": "for an adjoint action of a lie group @xmath0 ( or its subgroup ) on lie algebra @xmath1 we suggest a"}
{"subject": "math:arxiv_198165", "predicate": "proves", "object": "we provide a general framework for getting expected linear time constant factor approximations ( and"}
{"subject": "math:arxiv_198169", "predicate": "proves", "object": "massive gravity is an old idea : trading geometry for mass . \n much effort has been expended on esta"}
{"subject": "math:arxiv_198188", "predicate": "proves", "object": "in this paper we obtain some new inhomogeneous strichartz estimates for the fractional schrdinger eq"}
{"subject": "math:arxiv_198199", "predicate": "proves", "object": "the virasoro - bott group endowed with the right - invariant @xmath0-metric ( which is a weak rieman"}
{"subject": "math:arxiv_198207", "predicate": "proves", "object": "we show that permutations avoiding both of the ( classical ) patterns 4321 and 3241 have the algebra"}
{"subject": "math:arxiv_198216", "predicate": "proves", "object": "the first - order semiclassical einstein field equations are solved in the interior of the schwarzsc"}
{"subject": "math:arxiv_198225", "predicate": "proves", "object": "the analytical techniques of the nekhoroshev theorem are used to provide estimates on the coefficien"}
{"subject": "math:arxiv_198238", "predicate": "proves", "object": "the function @xmath0 is conjectured to be equal to @xmath1 when @xmath2 is the imaginary part of the"}
{"subject": "math:arxiv_198243", "predicate": "proves", "object": "in 1981 , s.  v.  pchelintsev introduced the notion of topological rank for spechtian varieties of a"}
{"subject": "math:arxiv_198254", "predicate": "proves", "object": "we prove a conjecture of stembridge concerning stability of kronecker coefficients that vastly gener"}
{"subject": "math:arxiv_198271", "predicate": "proves", "object": "we show that the known matrix representations of the stationary state algebra of the asymmetric simp"}
{"subject": "math:arxiv_198287", "predicate": "proves", "object": "magnetohydrodynamic ( mhd ) simulations based on the ideal mhd equations have become a powerful tool"}
{"subject": "math:arxiv_198291", "predicate": "proves", "object": "this paper continues the work contained in two previous papers , devoted to the study of the dynamic"}
{"subject": "math:arxiv_198296", "predicate": "proves", "object": "a k3 surface is a quaternionic analogue of an elliptic curve from a view point of moduli of vector b"}
{"subject": "math:arxiv_198309", "predicate": "proves", "object": "we present a generalized langevin equation for the dynamics of interacting semiflexible polymer chai"}
{"subject": "math:arxiv_198316", "predicate": "proves", "object": "in this paper , we study the existence and stability of travelling wave solutions of a kinetic react"}
{"subject": "math:arxiv_198330", "predicate": "proves", "object": "we present a formula for the shrinkage factors of the partial least squares regression estimator and"}
{"subject": "math:arxiv_198331", "predicate": "proves", "object": "we strengthen marshall hall s theorem to show that free groups are locally extended residually alter"}
{"subject": "math:arxiv_198340", "predicate": "proves", "object": "the nitsche conjecture is deeply rooted in the theory of doubly connected minimal surfaces . however"}
{"subject": "math:arxiv_198342", "predicate": "proves", "object": "in this note , we study the phase transitions arising in a modified smoluchowski equation on the sph"}
{"subject": "math:arxiv_198343", "predicate": "proves", "object": "data analysis of the ccd files from x ray magnetic resonance scattering linearly polarized in transm"}
{"subject": "math:arxiv_198344", "predicate": "proves", "object": "= 11.7pt we present a comprehensive model of the global properties of alfvn waves in the solar atmos"}
{"subject": "math:arxiv_198351", "predicate": "proves", "object": "second initial boundary problem in narrow domains of width @xmath0 for linear second order different"}
{"subject": "math:arxiv_198359", "predicate": "proves", "object": "brny s `` topological tverberg conjecture '' from 1976 states that any continuous map of an @xmath0-"}
{"subject": "math:arxiv_198367", "predicate": "proves", "object": "this paper is a survey of some of the developments in coarse extrinsic geometry since its inception "}
{"subject": "math:arxiv_198374", "predicate": "proves", "object": "the higher order supersymmetric partners of the schrdinger s hamiltonians can be explicitly construc"}
{"subject": "math:arxiv_198376", "predicate": "proves", "object": "in this paper we describe the geometry of distributions by their symmetries , and present a simplifi"}
{"subject": "math:arxiv_198388", "predicate": "proves", "object": "boij and sderberg made a pair of conjectures , which were subsequently proven by eisenbud and schrey"}
{"subject": "math:arxiv_198392", "predicate": "proves", "object": "motivated by @xmath0-tilting theory developed by adachi , iyama and reiten , for a finite - dimensio"}
{"subject": "math:arxiv_198398", "predicate": "proves", "object": "we present the formalization of dirichlet s theorem on the infinitude of primes in arithmetic progre"}
{"subject": "math:arxiv_198403", "predicate": "proves", "object": "it has been conjectured that the statistical properties of zeros of the riemann zeta function near @"}
{"subject": "math:arxiv_198410", "predicate": "proves", "object": "we develop the theory of special biserial and string coalgebras and other concepts from the represen"}
{"subject": "math:arxiv_198416", "predicate": "proves", "object": "we discuss topics related to the geometry of theta characteristics on algebraic curves . \n they incl"}
{"subject": "math:arxiv_198425", "predicate": "proves", "object": "we study the total photodetachment cross section of h@xmath0 near a repulsive center . \n an analytic"}
{"subject": "math:arxiv_198426", "predicate": "proves", "object": "we briefly recall the historical environment around our 1971 and 1975 constructions of current - alg"}
{"subject": "math:arxiv_198441", "predicate": "proves", "object": "we consider the nonlinear inverse problem of reconstructing the heat conductivity of a cooling fin ,"}
{"subject": "math:arxiv_198463", "predicate": "proves", "object": "we investigate the exact dynamics of a system of two independent harmonic oscillators coupled throug"}
{"subject": "math:arxiv_198497", "predicate": "proves", "object": "we show that a closed , simply - connected , non - negatively curved @xmath0-manifold admitting an e"}
{"subject": "math:arxiv_198520", "predicate": "proves", "object": "given a @xmath0-dimensional spacetime @xmath1 , one can consider the set @xmath2 of all its null geo"}
{"subject": "math:arxiv_198550", "predicate": "proves", "object": "let @xmath0 denote the orbit of mercury . \n we compare the formulae obtained via general relativity "}
{"subject": "math:arxiv_198563", "predicate": "proves", "object": "in this paper we give the list of all @xmath0-dimensional nilpotent real lie algebras that admit a c"}
{"subject": "math:arxiv_198565", "predicate": "proves", "object": "we investigate the second - order correlation function of the characteristic polynomial of a sample "}
{"subject": "math:arxiv_198568", "predicate": "proves", "object": "as has been known since the time of gromov s nonsqueezing theorem , symplectic embedding questions l"}
{"subject": "math:arxiv_198587", "predicate": "proves", "object": "the nonlinear theory of amplitude modulation of electrostatic wave envelopes in a collisionless elec"}
{"subject": "math:arxiv_198595", "predicate": "proves", "object": "we generalise the so - called bismut - elworthy - li formula to a class of stochastic differential e"}
{"subject": "math:arxiv_198612", "predicate": "proves", "object": "the huneke - wiegand conjecture has prompted much recent research in commutative algebra . in studyi"}
{"subject": "math:arxiv_198640", "predicate": "proves", "object": "using a detailed radiative transfer analysis , combined with an energy balance equation for the gas "}
{"subject": "math:arxiv_198642", "predicate": "proves", "object": "describing the combinatorial structure of the tropical complex @xmath0 of a tropical matroid polytop"}
{"subject": "math:arxiv_198656", "predicate": "proves", "object": "we report on our numerical implementation of fully relativistic hydrodynamics coupled to einstein s "}
{"subject": "math:arxiv_198661", "predicate": "proves", "object": "we study the specific heat scaling function of superfluids confined in cubic geometry and in paralle"}
{"subject": "math:arxiv_198664", "predicate": "proves", "object": "we show that integro - differential generalized langevin and non - markovian master equations can be"}
{"subject": "math:arxiv_198667", "predicate": "proves", "object": "given a closed orientable euclidean cone 3-manifold @xmath0 with cone angles @xmath1 and which is no"}
{"subject": "math:arxiv_198701", "predicate": "proves", "object": "we propose a model of fractal point process driven by the nonlinear stochastic differential equation"}
{"subject": "math:arxiv_198717", "predicate": "proves", "object": "we employ a time - dependent schrdinger equation to study the evolution of a @xmath0 dipole in a qua"}
{"subject": "math:arxiv_198720", "predicate": "proves", "object": "knig s theorem states that on bipartite graphs the size of a maximum matching equals the size of a m"}
{"subject": "math:arxiv_198724", "predicate": "proves", "object": "let @xmath0 be an @xmath1-dimensional compact riemannian manifold ( @xmath2 ) whose metric @xmath3 e"}
{"subject": "math:arxiv_198727", "predicate": "proves", "object": "infinitesimal cherednik algebras are continuous analogues of rational cherednik algebras , and in th"}
{"subject": "math:arxiv_198732", "predicate": "proves", "object": "hardy space theory has been studied on manifolds or metric measure spaces equipped with either gauss"}
{"subject": "math:arxiv_198750", "predicate": "proves", "object": "in this paper , we analyze a pde system arising in the modeling of phase transition and damage pheno"}
{"subject": "math:arxiv_198756", "predicate": "proves", "object": "the purpose of the paper is to predict the temperature at the fundamental blue edge ( fbe ) of the i"}
{"subject": "math:arxiv_198766", "predicate": "proves", "object": "we investigate the depinning of a massive elastic manifold with @xmath0 internal dimensions , embedd"}
{"subject": "math:arxiv_198767", "predicate": "proves", "object": "we prove that the genus expansion of solutions of the wdvv equation constructed from dgbv algebras s"}
{"subject": "math:arxiv_198771", "predicate": "proves", "object": "the klein - gordon equation with scalar potential is considered . in the feshbach - villars represen"}
{"subject": "math:arxiv_198776", "predicate": "proves", "object": "we prove several results on the structure of solvable quotients of fundamental groups of compact khl"}
{"subject": "math:arxiv_198782", "predicate": "proves", "object": "we provide necessary conditions for the alexander polynomials of algebraically split component - pre"}
{"subject": "math:arxiv_198783", "predicate": "proves", "object": "we show that the schubert polynomial @xmath0 specializes to the catalan number @xmath1 when @xmath2 "}
{"subject": "math:arxiv_198790", "predicate": "proves", "object": "we construct generalized solutions to the ultradiscrete kdv equation , including the so - called neg"}
{"subject": "math:arxiv_198794", "predicate": "proves", "object": "this paper is concerned with lower bounds for the connectivity of graphs ( one - dimensional skeleta"}
{"subject": "math:arxiv_198798", "predicate": "proves", "object": "we look at the topology of the tiling space of locally random fibonacci substitution , which is defi"}
{"subject": "math:arxiv_198805", "predicate": "proves", "object": "we formulate the notion of the classical fisher - kolmogorov - petrovskii - piscounov ( fkpp ) react"}
{"subject": "math:arxiv_198824", "predicate": "proves", "object": "a model of scalar quarks and scalar gluons is used to derive transport equations for quarks and gluo"}
{"subject": "math:arxiv_198830", "predicate": "proves", "object": "the causal character of singularities is often studied in relation to the existence of naked singula"}
{"subject": "math:arxiv_198834", "predicate": "proves", "object": "we propose a recursive representation of solutions to an ultradiscrete analogue of the discrete kp h"}
{"subject": "math:arxiv_198835", "predicate": "proves", "object": "in this paper , we improve and complete the theoretical results of the kernel - based approximation "}
{"subject": "math:arxiv_198840", "predicate": "proves", "object": "we present a new lattice super yang - mills theory and its susy transformation . after our formulati"}
{"subject": "math:arxiv_198844", "predicate": "proves", "object": "we present a new derivation of the perturbation equations governing the oscillations of relativistic"}
{"subject": "math:arxiv_198852", "predicate": "proves", "object": "the one - dimensional ginzburg - landau ( gl ) equation is considered . we use the recently develope"}
{"subject": "math:arxiv_198867", "predicate": "proves", "object": "we study the dynamics of measure - valued solutions of what we call the epdiff equations , standing "}
{"subject": "math:arxiv_198868", "predicate": "proves", "object": "we study numerically a stochastic differential equation describing an interface driven along the har"}
{"subject": "math:arxiv_198874", "predicate": "proves", "object": "the global ideal kink equation , for cylindrical geometry and zero beta , is simplified in the high "}
{"subject": "math:arxiv_198876", "predicate": "proves", "object": "in @xcite , we derived representation formulae for spatially periodic solutions to the generalized ,"}
{"subject": "math:arxiv_198902", "predicate": "proves", "object": "we study the dynamics of solitons as solutions to the perturbed kdv ( pkdv ) equation @xmath0 , wher"}
{"subject": "math:arxiv_198911", "predicate": "proves", "object": "we prove that any @xmath0-uniform hypergraph on @xmath1 vertices with minimum degree at least @xmath"}
{"subject": "math:arxiv_198924", "predicate": "proves", "object": "we derive the rapidity evolution equation for the gluon four - point function in the dilute regime a"}
{"subject": "math:arxiv_198933", "predicate": "proves", "object": "we propose a simple pedagogical way of introducing the euler - maclaurin summation formula in an und"}
{"subject": "math:arxiv_198944", "predicate": "proves", "object": "we consider the problem of characterizing solutions in @xmath0 to the equation @xmath1 in terms of @"}
{"subject": "math:arxiv_198952", "predicate": "proves", "object": "a homotopy analogue of the notion of a triangular lie bialgebra is proposed with a goal of extending"}
{"subject": "math:arxiv_198959", "predicate": "proves", "object": "we formulate a theory of spin - transfer torques in antiferromagnets , which covers the small to lar"}
{"subject": "math:arxiv_198968", "predicate": "proves", "object": "in a recent work , r.  pandharipande , j.  p.  solomon and the second author have initiated a study "}
{"subject": "math:arxiv_198970", "predicate": "proves", "object": "the general lines of the derivation and the main properties of the master equations for the master a"}
{"subject": "math:arxiv_198972", "predicate": "proves", "object": "we introduce the notion of symplectic microfolds and symplectic micromorphisms between them . \n they"}
{"subject": "math:arxiv_198979", "predicate": "proves", "object": "we investigate the properties of isospin - symmetric nuclear matter and neutron stars in a chiral mo"}
{"subject": "math:arxiv_198991", "predicate": "proves", "object": "a meson - exchange @xmath0 model , previously constructed using three - dimensional reduction scheme"}
{"subject": "math:arxiv_199001", "predicate": "proves", "object": "the approximately analytical bound state solutions of the @xmath0-wave schrdinger equation for the m"}
{"subject": "math:arxiv_199013", "predicate": "proves", "object": "we study one - parameter curves on the universal teichmller space @xmath0 and on the homogeneous spa"}
{"subject": "math:arxiv_199019", "predicate": "proves", "object": "we develop a master equation formalism to describe the evolution of the average density matrix of a "}
{"subject": "math:arxiv_199043", "predicate": "proves", "object": "we survey recent developments on donaldson - thomas theory , bridgeland stability conditions and wal"}
{"subject": "math:arxiv_199044", "predicate": "proves", "object": "we determine the stationary two - point correlation function of the one - dimensional kpz equation t"}
{"subject": "math:arxiv_199061", "predicate": "proves", "object": "we consider real - valued solutions @xmath0 of the second painlev equation @xmath1 which are paramet"}
{"subject": "math:arxiv_199064", "predicate": "proves", "object": "we show that if @xmath0 is an upper semicontinuous decomposition of @xmath1 , @xmath2 , into convex "}
{"subject": "math:arxiv_199075", "predicate": "proves", "object": "we derive exact formulas for bipartite von neumann entanglement entropy after partial projective loc"}
{"subject": "math:arxiv_199088", "predicate": "proves", "object": "we study a recent conjecture about the behavior of the quantum relative entropy compared to the rela"}
{"subject": "math:arxiv_199105", "predicate": "proves", "object": "f - theory is a non - perturbative formulation of type iib superstring theory which allows for the d"}
{"subject": "math:arxiv_199108", "predicate": "proves", "object": "we give an explicit formula for the membrane potential of cells in terms of the intracellular and ex"}
{"subject": "math:arxiv_199116", "predicate": "proves", "object": "the schrdinger equation dictates that the propagation of nearly free electrons through a weak period"}
{"subject": "math:arxiv_199121", "predicate": "proves", "object": "let @xmath0 be a compact khler manifold and @xmath1 a subvariety of @xmath0 with higher co - dimensi"}
{"subject": "math:arxiv_199158", "predicate": "proves", "object": "we introduce and study brownian bridges to submanifolds . \n our method involves proving a general fo"}
{"subject": "math:arxiv_199161", "predicate": "proves", "object": "we define new riemannian structures on 7manifolds by a differential form of mixed degree which is th"}
{"subject": "math:arxiv_199190", "predicate": "proves", "object": "we study the magic manifold @xmath0 which is a hyperbolic and fibered @xmath1-manifold . we give an "}
{"subject": "math:arxiv_199192", "predicate": "proves", "object": "we have proposed , in our previous papers@xcite , a method to characterize integrable discrete solit"}
{"subject": "math:arxiv_199195", "predicate": "proves", "object": "we define a group stucture on the primitive integer points @xmath0 of the algebraic variety @xmath1 "}
{"subject": "math:arxiv_199198", "predicate": "proves", "object": "massive growth in human mobility has dramatically increased the risk and rate of pandemic spread . \n"}
{"subject": "math:arxiv_199206", "predicate": "proves", "object": "we show that for spaces @xmath0 that satisfy a certain smallness condition , there is a lawvere theo"}
{"subject": "math:arxiv_199215", "predicate": "proves", "object": "there is proposed the maillet  malgrange type theorem for a generalized power series ( having comple"}
{"subject": "math:arxiv_199235", "predicate": "proves", "object": "in this work we perform theoretical analysis about a coupled rc circuit with constant driven current"}
{"subject": "math:arxiv_199242", "predicate": "proves", "object": "an efficient approach to tensor perturbation calculations by proper use of computer algebra methods "}
{"subject": "math:arxiv_199243", "predicate": "proves", "object": "we realize the reeb foliation of @xmath0 as a family of legendrian submanifolds of the unit @xmath1 "}
{"subject": "math:arxiv_199246", "predicate": "proves", "object": "in this paper we have considered a model of modified chaplygin gas and its role in accelerating phas"}
{"subject": "math:arxiv_199257", "predicate": "proves", "object": "we present a method of solving master equations which may describe , in their most general form , ph"}
{"subject": "math:arxiv_199266", "predicate": "proves", "object": "we study the brodsky - lepage evolution equation for the nucleon and construct an eigenfunction basi"}
{"subject": "math:arxiv_199272", "predicate": "proves", "object": "* arising from emergent electromagnetic field of magnetic skyrmions due to their nontrivial topology"}
{"subject": "math:arxiv_199287", "predicate": "proves", "object": "we obtain upper estimates for the bottom ( that is , greatest lower bound ) of the essential spectru"}
{"subject": "math:arxiv_199302", "predicate": "proves", "object": "a formula based on a vertex contributions of the steiner @xmath0-wiener index is induced by a newly "}
{"subject": "math:arxiv_199303", "predicate": "proves", "object": "we present the explicit local form of the metric of the second - order symmetric non - symmetric 4-d"}
{"subject": "math:arxiv_199311", "predicate": "proves", "object": "a theory of relativistic space - charge - limited current ( sclc ) is formulated to determine the sc"}
{"subject": "math:arxiv_199315", "predicate": "proves", "object": "gordon james proved that the socle of a weyl module of a classical schur algebra is a sum of simple "}
{"subject": "math:arxiv_199322", "predicate": "proves", "object": "let @xmath0 be a connected one - manifold , and let @xmath1 be a finitely - generated nilpotent grou"}
{"subject": "math:arxiv_199326", "predicate": "proves", "object": "we describe the kink solitary waves of a massive non - linear sigma model with an @xmath0 sphere as "}
{"subject": "math:arxiv_199335", "predicate": "proves", "object": "we present the orbital analysis of four response models , that succeed in reproducing morphological "}
{"subject": "math:arxiv_199337", "predicate": "proves", "object": "we discuss the notion of quantum mechanical coherence in its connection with time evolution and stat"}
{"subject": "math:arxiv_199374", "predicate": "proves", "object": "we investigate theoretical and observational aspects of a time - dependent parameterization for the "}
{"subject": "math:arxiv_199389", "predicate": "proves", "object": "the problem of stochastis in multiple electron - photon head - on collisions has been considered in "}
{"subject": "math:arxiv_199390", "predicate": "proves", "object": "we study a family of fusion and modular systems realizing fusion categories grothendieck equivalent "}
{"subject": "math:arxiv_199395", "predicate": "proves", "object": "we represent qcd at the hadronic scale by means of an effective hamiltonian , @xmath0 , formulated i"}
{"subject": "math:arxiv_199406", "predicate": "proves", "object": "this is the second in a series of papers on the construction of explicit solutions to the stationary"}
{"subject": "math:arxiv_199427", "predicate": "proves", "object": "the famous haken - kneser - milnor theorem states that every @xmath0-manifold can be expressed in a "}
{"subject": "math:arxiv_199433", "predicate": "proves", "object": "a definition of invariance in lie s sense for a boundary value problem ( bvp ) with the basic evolut"}
{"subject": "math:arxiv_199437", "predicate": "proves", "object": "the self - energy of an @xmath0 meson in the nuclear medium is calculated in a chiral unitary approa"}
{"subject": "math:arxiv_199438", "predicate": "proves", "object": "new results on the topology of the @xmath0 yang - mills theory are presented . at zero temperature \n"}
{"subject": "math:arxiv_199448", "predicate": "proves", "object": "hamiltonian gravity , relying on arbitrary choices of ` space , ' can obscure spacetime symmetries ."}
{"subject": "math:arxiv_199451", "predicate": "proves", "object": "in this paper , we discuss foliations by real curves . we investigate differential equations which a"}
{"subject": "math:arxiv_199454", "predicate": "proves", "object": "we consider coverings of real algebraic curves to real rational algebraic curves . \n we show the exi"}
{"subject": "math:arxiv_199457", "predicate": "proves", "object": "a robust prediction model invoking the takens embedding theorem , whose _ working hypothesis _ is ob"}
{"subject": "math:arxiv_199475", "predicate": "proves", "object": "a real 3-manifold is a smooth 3-manifold together with an orientation preserving smooth involution ,"}
{"subject": "math:arxiv_199487", "predicate": "proves", "object": "we extend the semilinear framework developed by the two authors in @xcite and the _ non - trapping _"}
{"subject": "math:arxiv_199512", "predicate": "proves", "object": "in recent literature there are an increasing number of papers where the forbidden sets of difference"}
{"subject": "math:arxiv_199513", "predicate": "proves", "object": "in this paper , we consider different ways of generating dynamical systems on 3-manifolds . \n we fir"}
{"subject": "math:arxiv_199517", "predicate": "proves", "object": "in this paper we use methods from stochastic analysis to establish li - yau type estimates for posit"}
{"subject": "math:arxiv_199521", "predicate": "proves", "object": "every torus knot can be represented as a fourier-@xmath0 knot which is the simplest possible fourier"}
{"subject": "math:arxiv_199522", "predicate": "proves", "object": "we review some recent results concerning gibbs measures for nonlinear schrdinger equations ( nls ) ,"}
{"subject": "math:arxiv_199523", "predicate": "proves", "object": "the aim of this paper is to obtain an asymptotic expansion for ergodic integrals of translation flow"}
{"subject": "math:arxiv_199530", "predicate": "proves", "object": "we show that non - dominated sorting of a sequence @xmath0 of _ i.i.d . \n _  random variables in @xm"}
{"subject": "math:arxiv_199538", "predicate": "proves", "object": "we establish an @xmath0 to @xmath1 estimate for the bilinear hilbert transform along a curve defined"}
{"subject": "math:arxiv_199563", "predicate": "proves", "object": "the computational complexity of the solution  @xmath0 to the ordinary differential equation @xmath1 "}
{"subject": "math:arxiv_199570", "predicate": "proves", "object": "in this work we study the @xmath0 three - body system solving the faddeev equations in the fixed cen"}
{"subject": "math:arxiv_199589", "predicate": "proves", "object": "for cluster algebras from surfaces , there is a known formula for cluster variables and @xmath0-poly"}
{"subject": "math:arxiv_199593", "predicate": "proves", "object": "we compute the dependence of the tunneling current in a double point contact in the @xmath0 read - r"}
{"subject": "math:arxiv_199631", "predicate": "proves", "object": "a new model of the observed universe , using solutions to the full einstein equations , is developed"}
{"subject": "math:arxiv_199639", "predicate": "proves", "object": "we give necessary and sufficient conditions for an operator on a separable hilbert space to satisfy "}
{"subject": "math:arxiv_199643", "predicate": "proves", "object": "we consider families of confocal conics and two pencils of apollonian circles having the same foci ."}
{"subject": "math:arxiv_199644", "predicate": "proves", "object": "we consider a rotating bose - einstein condensate in a harmonic trap and investigate numerically the"}
{"subject": "math:arxiv_199653", "predicate": "proves", "object": "the equations of fluid dynamics developed in paper i are applied to the study of the propagation of "}
{"subject": "math:arxiv_199665", "predicate": "proves", "object": "the applicability of the optical theorem in the models with the non - hermitian hamiltonian is studi"}
{"subject": "math:arxiv_199672", "predicate": "proves", "object": "if @xmath0 is a hyperbolic once - punctured torus bundle over @xmath1 , then the trace field of @xma"}
{"subject": "math:arxiv_199680", "predicate": "proves", "object": "the relation between the poisson and schrdinger equation is obtained through a simple transformation"}
{"subject": "math:arxiv_199684", "predicate": "proves", "object": "let @xmath0 be a polytope with rational vertices . \n a classical theorem of ehrhart states that the "}
{"subject": "math:arxiv_199687", "predicate": "proves", "object": "we suggest a theory for a deformable and sliding charge density wave ( cdw ) in the hall bar geometr"}
{"subject": "math:arxiv_199694", "predicate": "proves", "object": "we study the cauchy problem for the whitham modulation equations for monotone increasing smooth init"}
{"subject": "math:arxiv_199696", "predicate": "proves", "object": "we study the problem of parameter estimation for stochastic differential equations with small noise "}
{"subject": "math:arxiv_199701", "predicate": "proves", "object": "checking the admissibility of quasiequations in a finitely generated ( i.e. , generated by a finite "}
{"subject": "math:arxiv_199723", "predicate": "proves", "object": "we present here how the gravothermal or antonov s instability , which was originally formulated in t"}
{"subject": "math:arxiv_199733", "predicate": "proves", "object": "we show that there exists a lie bracket on the cohomology of any type of ( bi)algebras over an opera"}
{"subject": "math:arxiv_199740", "predicate": "proves", "object": "we present a number of observables - based proofs of the kochen - specker ( ks ) theorem based on th"}
{"subject": "math:arxiv_199751", "predicate": "proves", "object": "we consider here a generalized heat equation @xmath0 , where @xmath1 is a finite measure on the one "}
{"subject": "math:arxiv_199754", "predicate": "proves", "object": "we consider a complex covariant form of the macroscopic maxwell equations , in a moving medium or at"}
{"subject": "math:arxiv_199761", "predicate": "proves", "object": "the dynamics of a coupled bose - einstein condensate involving trapped atoms in two quantum states i"}
{"subject": "math:arxiv_199768", "predicate": "proves", "object": "given a fibration over the circle , we relate the eigenspace decomposition of the algebraic monodrom"}
{"subject": "math:arxiv_199775", "predicate": "proves", "object": "we formulate the accuracy of a quantum measurement for a qubit ( spin-1/2 ) system in terms of a 3 b"}
{"subject": "math:arxiv_199776", "predicate": "proves", "object": "csiszr s channel coding theorem for multiple codebooks is generalized allowing the codeword lenghts "}
{"subject": "math:arxiv_199800", "predicate": "proves", "object": "we show that a morse type potential simulates an analytic solution for the highly non - linear globa"}
{"subject": "math:arxiv_199808", "predicate": "proves", "object": "we introduce a notion of symplectic capacity relative to a coisotropic submanifold of a symplectic m"}
{"subject": "math:arxiv_199809", "predicate": "proves", "object": "using scaled variables we are able to integrate an equation valid for isotropic and anisotropic bian"}
{"subject": "math:arxiv_199814", "predicate": "proves", "object": "we study four systems and their interactions . \n first , we formulate a unified system of coupled fo"}
{"subject": "math:arxiv_199819", "predicate": "proves", "object": "we derive the fractional master equation with space dependent anomalous exponent . \n we analyze the "}
{"subject": "math:arxiv_199823", "predicate": "proves", "object": "in this paper we first give a one - move version of markov s braid theorem for knot isotopy in @xmat"}
{"subject": "math:arxiv_199825", "predicate": "proves", "object": "we present progress in development of the truncated mellin moments approach ( tmma ) . \n we show our"}
{"subject": "math:arxiv_199847", "predicate": "proves", "object": "we introduce an integrable hamiltonian system which lax deforms the dirac operator @xmath0 on a fini"}
{"subject": "math:arxiv_199853", "predicate": "proves", "object": "optimal design of a phase  i cancer trial can be formulated as a stochastic optimization problem . b"}
{"subject": "math:arxiv_199871", "predicate": "proves", "object": "in the present paper , we are analyzing the @xmath0frw universe with two interacting ideal fluids . "}
{"subject": "math:arxiv_199872", "predicate": "proves", "object": "we analyse the stability of global o(3 ) monopoles in the infinite cut - off ( or scalar mass ) limi"}
{"subject": "math:arxiv_199891", "predicate": "proves", "object": "electron spin relaxation in bulk iii - v semiconductors is investigated from a fully microscopic kin"}
{"subject": "math:arxiv_199938", "predicate": "proves", "object": "we prove a generalization of kannan s fixed point theorem , based on a recent result of vittorino pa"}
{"subject": "math:arxiv_199949", "predicate": "proves", "object": "structures in low - dimensional topology and low - dimensional geometry  often combined with ideas f"}
{"subject": "math:arxiv_199952", "predicate": "proves", "object": "postnikov gave a combinatorial description of the cells in a totally - nonnegative grassmannian . \n "}
{"subject": "math:arxiv_199965", "predicate": "proves", "object": "we study in detail the equations of the geodesic deviation in multidimensional theories of kaluza - "}
{"subject": "math:arxiv_199968", "predicate": "proves", "object": "the line shape of radio frequency spectra of tightly bound feshbach molecules in strong transverse c"}
{"subject": "math:arxiv_199976", "predicate": "proves", "object": "we study and compare the spectra of geometric operators ( length and area ) in the quantum kinematic"}
{"subject": "math:arxiv_200011", "predicate": "proves", "object": "we propose an alternative definition of @xmath0-supernomial coefficients as characters of coinvarian"}
{"subject": "math:arxiv_200039", "predicate": "proves", "object": "in the present short communication , we revisit nonlinearity management of the time - periodic nonli"}
{"subject": "math:arxiv_200042", "predicate": "proves", "object": "let @xmath0 be a basic closed semi - algebraic set in @xmath1 and @xmath2 the corresponding preorder"}
{"subject": "math:arxiv_200052", "predicate": "proves", "object": "we give a classification of generic bifurcations of intersections of wavefronts generated by differe"}
{"subject": "math:arxiv_200055", "predicate": "proves", "object": "we provide formulas and develop algorithms for computing the excess numbers of an ideal . the soluti"}
{"subject": "math:arxiv_200056", "predicate": "proves", "object": "an error occurred in the computation of a gradient in @xcite . the equations ( 20 ) in appendix and "}
{"subject": "math:arxiv_200057", "predicate": "proves", "object": "we present definitions and formulas that may be useful for a consistent computation of helicity ampl"}
{"subject": "math:arxiv_200070", "predicate": "proves", "object": "density modeling is notoriously difficult for high dimensional data . \n one approach to the problem "}
{"subject": "math:arxiv_200082", "predicate": "proves", "object": "the strong field approximation ( sfa ) formulated in terms of so - called `` quantum orbits '' led t"}
{"subject": "math:arxiv_200087", "predicate": "proves", "object": "in this proceeding we expose a particular case of a recent result obtained in @xcite by the authors "}
{"subject": "math:arxiv_200093", "predicate": "proves", "object": "we are concerned with the numerical solution obtained by _ splitting methods _ of certain parabolic "}
{"subject": "math:arxiv_200099", "predicate": "proves", "object": "we formulate some precise conjectures concerning the existence and structure of supersymmetric @xmat"}
{"subject": "math:arxiv_200116", "predicate": "proves", "object": "in this paper we consider ball packings in @xmath0-dimensional hyperbolic space . we show that it is"}
{"subject": "math:arxiv_200119", "predicate": "proves", "object": "the cosmic microwave background ( cmb ) is a unique probe of cosmological parameters and conditions "}
{"subject": "math:arxiv_200124", "predicate": "proves", "object": "we describe the sequences @xmath0 given by the non - autonomous second order lyness difference equat"}
{"subject": "math:arxiv_200129", "predicate": "proves", "object": "it is standard assertion in relativity that , subject to an energy condition and the cosmic censorsh"}
{"subject": "math:arxiv_200132", "predicate": "proves", "object": "in this paper we study the asymptotic behaviour of solutions of a system of @xmath0 partial differen"}
{"subject": "math:arxiv_200137", "predicate": "proves", "object": "we investigate the nonlinear dynamics of @xmath0he slightly below the superfluid transition by integ"}
{"subject": "math:arxiv_200145", "predicate": "proves", "object": "this paper is concerned with analysis of coupled fractional reaction - diffusion equations . \n it pr"}
{"subject": "math:arxiv_200157", "predicate": "proves", "object": "non - orthogonal space - time block codes ( stbc ) from cyclic division algebras ( cda ) having larg"}
{"subject": "math:arxiv_200163", "predicate": "proves", "object": "quantum noise in a model of singly resonant frequency doubling including phase mismatch and driving "}
{"subject": "math:arxiv_200169", "predicate": "proves", "object": "we derive the helmholtz theorem for hamiltonian systems defined on time scales in the context of non"}
{"subject": "math:arxiv_200170", "predicate": "proves", "object": "[ [ abstract . ] ] abstract . \n + + + + + + + + +    we present a new , explicit sum formula for sym"}
{"subject": "math:arxiv_200180", "predicate": "proves", "object": "an explicit proposal for experiments leading to abrupt transitions in spatially extended bacterial p"}
{"subject": "math:arxiv_200182", "predicate": "proves", "object": "in this paper we show a variant of colorful tverberg s theorem which is valid in any matroid : let @"}
{"subject": "math:arxiv_200208", "predicate": "proves", "object": "given @xmath0-qubit states with the fixed spectra of reduced one - qubit density matrices , we find "}
{"subject": "math:arxiv_200211", "predicate": "proves", "object": "lsqr , a lanczos bidiagonalization based krylov subspace iterative method , and its mathematically e"}
{"subject": "math:arxiv_200218", "predicate": "proves", "object": "we analyze how a family of essential annuli in a compact @xmath0-manifold will induce , from a stron"}
{"subject": "math:arxiv_200237", "predicate": "proves", "object": "the riemann - roch theorem on a graph @xmath0 is related to alexander duality in combinatorial commu"}
{"subject": "math:arxiv_200240", "predicate": "proves", "object": "in this paper the unconditional stability of four well - known adi schemes is analyzed in the applic"}
{"subject": "math:arxiv_200253", "predicate": "proves", "object": "using the general helicity formula for @xmath0 collisions , we are showing that it should be possibl"}
{"subject": "math:arxiv_200258", "predicate": "proves", "object": "we discuss image formation in gravitational lensing systems using wave optics . applying the fresnel"}
{"subject": "math:arxiv_200263", "predicate": "proves", "object": "for a compact riemannian manifold of negative curvature , the geodesic foliation of its unit tangent"}
{"subject": "math:arxiv_200302", "predicate": "proves", "object": "recent developments in finite - temperature qcd with dynamical quarks are reviewed focusing on the t"}
{"subject": "math:arxiv_200307", "predicate": "proves", "object": "we study semistable extremal @xmath0-fold neighborhoods , which are fundamental building blocks of b"}
{"subject": "math:arxiv_200310", "predicate": "proves", "object": "in a recent work on euler - type formulae for even dirichlet beta values , i.e. @xmath0 , i have der"}
{"subject": "math:arxiv_200334", "predicate": "proves", "object": "it is well known that the quantum double structure plays an important role in three dimensional quan"}
{"subject": "math:arxiv_200349", "predicate": "proves", "object": "we consider the solution of a scalar helmholtz equation where the potential ( or index ) takes two p"}
{"subject": "math:arxiv_200370", "predicate": "proves", "object": "we conjecture ( analytically ) and demonstrate ( numerically ) the existence of a fine - structure a"}
{"subject": "math:arxiv_200378", "predicate": "proves", "object": "let @xmath0 be a closed orientable @xmath1-manifold of heegaard genus two with a non - trivial jsj -"}
{"subject": "math:arxiv_200388", "predicate": "proves", "object": "we study the relationship between several constructions of symplectic realizations of a given poisso"}
{"subject": "math:arxiv_200395", "predicate": "proves", "object": "we have derived the closed system of averaged mhd - equations for general oscillating flows , which "}
{"subject": "math:arxiv_200403", "predicate": "proves", "object": "one of the key aspects in the comprehension of neutron star interiors is the identification of obser"}
{"subject": "math:arxiv_200404", "predicate": "proves", "object": "strong solutions of the non - stationary navier - stokes equations under non - linearized slip or le"}
{"subject": "math:arxiv_200405", "predicate": "proves", "object": "we consider the scenario in which a set of sources generate messages in a network and a receiver nod"}
{"subject": "math:arxiv_200412", "predicate": "proves", "object": "we derive an expression for the reduced density matrices of ideal bose and fermi gases in the canoni"}
{"subject": "math:arxiv_200414", "predicate": "proves", "object": "we use a generalization of vinogradov s mean value theorem of s. parsell , s. prendiville and t. woo"}
{"subject": "math:arxiv_200421", "predicate": "proves", "object": "we formulate and establish a super duality which connects parabolic categories @xmath0 for the ortho"}
{"subject": "math:arxiv_200422", "predicate": "proves", "object": "we formulate a theory for the phase description of oscillatory convection in a cylindrical hele - sh"}
{"subject": "math:arxiv_200437", "predicate": "proves", "object": "+ we assume that neutrinoless double beta decay is caused by the exchange of three light majorana ne"}
{"subject": "math:arxiv_200443", "predicate": "proves", "object": "freely falling point particles in the vicinity of kerr black holes are subject to a conservation law"}
{"subject": "math:arxiv_200444", "predicate": "proves", "object": "we define and study extensions of artin s representation and braid monodromy representation to the c"}
{"subject": "math:arxiv_200468", "predicate": "proves", "object": "i point out a simple algebraic error in joy christian s refutation of bell s theorem . in substituti"}
{"subject": "math:arxiv_200477", "predicate": "proves", "object": "we explore various pitfalls and challenges in determining the equation - of - state ( @xmath0 ) of d"}
{"subject": "math:arxiv_200479", "predicate": "proves", "object": "in this paper we construct higher - order variational integrators for a class of degenerate systems "}
{"subject": "math:arxiv_200485", "predicate": "proves", "object": "we prove a folklore theorem of w. thurston which provides necessary and sufficient conditions for pr"}
{"subject": "math:arxiv_200488", "predicate": "proves", "object": "the _ fluctuation - dissipation theorem _ is used to evaluate the screening factor of nuclear reacti"}
{"subject": "math:arxiv_200519", "predicate": "proves", "object": "in this paper , we propose a new way to approach qudit systems using toric geometry and related topi"}
{"subject": "math:arxiv_200524", "predicate": "proves", "object": "in this paper we strengthen kolchin s theorem ( @xcite ) in the ordinary case . \n it states that if "}
{"subject": "math:arxiv_200525", "predicate": "proves", "object": "string theories should reduce to ordinary four - dimensional field theories at low energies . \n yet "}
{"subject": "math:arxiv_200534", "predicate": "proves", "object": "we consider an inverse problem for a hyperbolic partial differential equation on a compact riemannia"}
{"subject": "math:arxiv_200542", "predicate": "proves", "object": "two different approaches to the roberts dynamo problem are considered . \n firstly , the equations go"}
{"subject": "math:arxiv_200546", "predicate": "proves", "object": "it has been conjectured that in a braid group , or more generally in a garside group , applying any "}
{"subject": "math:arxiv_200551", "predicate": "proves", "object": "we study some geometrical aspects of two dimensional orientable surfaces arrising from the study of "}
{"subject": "math:arxiv_200557", "predicate": "proves", "object": "we study the homotopy types of certain spaces closely related to the spaces of algebraic ( rational "}
{"subject": "math:arxiv_200563", "predicate": "proves", "object": "in this note , we give an alternative proof of the following result . \n let @xmath0 be two multiplic"}
{"subject": "math:arxiv_200575", "predicate": "proves", "object": "one of the more recent generalizations of the erds - ko - rado theorem , formulated by holroyd , spe"}
{"subject": "math:arxiv_200591", "predicate": "proves", "object": "the model of laminated wave turbulence puts forth a novel computational problem - construction of fa"}
{"subject": "math:arxiv_200593", "predicate": "proves", "object": "random matrix models of disordered bosons consist of matrices in the lie algebra @xmath0 . assuming "}
{"subject": "math:arxiv_200603", "predicate": "proves", "object": "let @xmath0 be a connected symplectic @xmath1-manifold and let @xmath2 be a completely integrable sy"}
{"subject": "math:arxiv_200611", "predicate": "proves", "object": "rapid , irreversible changes of magnetic topology and sunspot structure associated with flares have "}
{"subject": "math:arxiv_200630", "predicate": "proves", "object": "we study the gross - pitaevskii equation with a slowly varying smooth potential , @xmath0 . \n we sho"}
{"subject": "math:arxiv_200632", "predicate": "proves", "object": "this article is a continuation of work on construction and calculation various of modifications of i"}
{"subject": "math:arxiv_200641", "predicate": "proves", "object": "we give a complete classification of the dehn surgeries on montesinos knots which yield manifolds wi"}
{"subject": "math:arxiv_200647", "predicate": "proves", "object": "we report a study of spin dependent transport in a system composed of a quantum dot coupled to a nor"}
{"subject": "math:arxiv_200652", "predicate": "proves", "object": "an unorthodox unified theory is developed to describe external and internal attributes and symmetrie"}
{"subject": "math:arxiv_200658", "predicate": "proves", "object": "hadwiger s conjecture from 1943 states that for every integer @xmath0 , every graph either can be @x"}
{"subject": "math:arxiv_200680", "predicate": "proves", "object": "this paper establishes the global well - posedness of the nonlinear fokker - planck equation for a n"}
{"subject": "math:arxiv_200688", "predicate": "proves", "object": "a technique to calculate the colored jones polynomials of satellite knots , illustrated by the white"}
{"subject": "math:arxiv_200697", "predicate": "proves", "object": "for a convenient and newton non - degenerate singularity , the milnor number is computed from the co"}
{"subject": "math:arxiv_200723", "predicate": "proves", "object": "we study kontsevich s deformation quantization for the dual of a finite - dimensional real lie algeb"}
{"subject": "math:arxiv_200726", "predicate": "proves", "object": "in this article , we give an explicit formula for the universal weight function of the quantum twist"}
{"subject": "math:arxiv_200732", "predicate": "proves", "object": "we develop a method to solve the bogoliubov de gennes equation for superconductors self - consistent"}
{"subject": "math:arxiv_200738", "predicate": "proves", "object": "in functional analysis it is well known that every linear functional defined on the dual of a locall"}
{"subject": "math:arxiv_200741", "predicate": "proves", "object": "we make a systematic study of the hilbert - mumford criterion for different notions of stability for"}
{"subject": "math:arxiv_200745", "predicate": "proves", "object": "we show that under suitable non - degeneracy conditions , @xmath0 points and @xmath1 2dimensional al"}
{"subject": "math:arxiv_200754", "predicate": "proves", "object": "the solutions of the time independent schrdinger equation for non - hermitian ( nh ) hamiltonians ha"}
{"subject": "math:arxiv_200755", "predicate": "proves", "object": "beginning with a lagrangian that is consistent with both newtonian gravity and the momentum - veloci"}
{"subject": "math:arxiv_200761", "predicate": "proves", "object": "we prove the existence of canonical tubular neighbourhoods around complex submanifolds of khler mani"}
{"subject": "math:arxiv_200770", "predicate": "proves", "object": "it is shown that in @xmath0 dimensional gravity an open spacetime with timelike sources and total en"}
{"subject": "math:arxiv_200775", "predicate": "proves", "object": "in terms of a new qcd factorization formula for j/@xmath0 production , we calculate the j/@xmath0 su"}
{"subject": "math:arxiv_200805", "predicate": "proves", "object": "the elimination of the non - transversal field in the standard light - cone formulation of higher - "}
{"subject": "math:arxiv_200811", "predicate": "proves", "object": "we investigate the irreducibility of the nilpotent slodowy slices that appear as the associated vari"}
{"subject": "math:arxiv_200816", "predicate": "proves", "object": "we study stability of solutions of the cauchy problem on the line for the camassa \n holm equation @x"}
{"subject": "math:arxiv_200825", "predicate": "proves", "object": "an elementary treatment of the dirac equation in the presence of a three - dimensional spherically s"}
{"subject": "math:arxiv_200828", "predicate": "proves", "object": "we study periodic expansions in positional number systems with a base @xmath0 , and with coefficient"}
{"subject": "math:arxiv_200840", "predicate": "proves", "object": "in this paper we give examples of closed smooth submanifolds of @xmath0 which are isotopic to nonsin"}
{"subject": "math:arxiv_200848", "predicate": "proves", "object": "we prove the continuity of the shape governing the asymptotic growth of the supercritical contact pr"}
{"subject": "math:arxiv_200862", "predicate": "proves", "object": "the existence of closed hypersurfaces of prescribed scalar curvature in globally hyperbolic lorentzi"}
{"subject": "math:arxiv_200866", "predicate": "proves", "object": "the quantum spin-1/2 antiferromagnetic heisenberg model on a two dimensional triangular lattice geom"}
{"subject": "math:arxiv_200877", "predicate": "proves", "object": "we study the gross - pitaevskii equation with a repulsive delta function potential . \n we show that "}
{"subject": "math:arxiv_200880", "predicate": "proves", "object": "the monte carlo method is the most popular technique to perform radiative transfer simulations in a "}
{"subject": "math:arxiv_200889", "predicate": "proves", "object": "the symmetrized quartic polynomial oscillator is shown to admit an sl(2,@xmath0 ) algebraization . s"}
{"subject": "math:arxiv_200901", "predicate": "proves", "object": "we carry out mathematical analyses , _  la _ helmholtz s and boltzmann s 1884 studies of monocyclic "}
{"subject": "math:arxiv_200903", "predicate": "proves", "object": "we study a class of one - dimensional , nonequilibrium , conserved growth equations for both noncons"}
{"subject": "math:arxiv_200915", "predicate": "proves", "object": "we study a quantum bianchi type i model in which the dynamical variables of the corresponding minisu"}
{"subject": "math:arxiv_200919", "predicate": "proves", "object": "we study the magnetic properties of the @xmath0 model on triangular lattice in light of the recently"}
{"subject": "math:arxiv_200930", "predicate": "proves", "object": "the nonlinear brinkman - forchheimer - extended darcy equation is used to model some porous medium f"}
{"subject": "math:arxiv_200933", "predicate": "proves", "object": "for many a natural deduction style logic there is a hilbert - style logic that is equivalent to it i"}
{"subject": "math:arxiv_200964", "predicate": "proves", "object": "models of differentially rotating protoneutron stars are calculated , using realistic equations of s"}
{"subject": "math:arxiv_200979", "predicate": "proves", "object": "we prove general cramer type theorems for linear systems over various extensions of the tropical sem"}
{"subject": "math:arxiv_200985", "predicate": "proves", "object": "we give a closed - form formula for the hilbert function of the tangent cone at the identity of a sc"}
{"subject": "math:arxiv_200993", "predicate": "proves", "object": "we consider schrdinger operators @xmath0 given by equation below . \n we study the asymptotic behavio"}
{"subject": "math:arxiv_201014", "predicate": "proves", "object": "the aim of this text is to develop on the asymptotics of some 1-d nonlinear schrdinger equations fro"}
{"subject": "math:arxiv_201016", "predicate": "proves", "object": "we give a different proof of paul skoufranis s very recent result showing that the strong convergenc"}
{"subject": "math:arxiv_201021", "predicate": "proves", "object": "we construct the new one - dimensional dirac hamiltonians that are spectrally isomorphic ( not isosp"}
{"subject": "math:arxiv_201024", "predicate": "proves", "object": "we perform _ detailed _ computations of lie algebras of infinitesimal cr - automorphisms associated "}
{"subject": "math:arxiv_201026", "predicate": "proves", "object": "the covering spectrum is a geometric invariant of a riemannian manifold , more generally of a metric"}
{"subject": "math:arxiv_201033", "predicate": "proves", "object": "the _ critical point _ between varieties  @xmath0 and  @xmath1 of algebras is defined as the least c"}
{"subject": "math:arxiv_201047", "predicate": "proves", "object": "motivated by recent progress on many flavor qcd on a lattice , we investigate conformal / walking dy"}
{"subject": "math:arxiv_201086", "predicate": "proves", "object": "we have developed a general methodology for numerical computations of electromagnetic ( em ) fields "}
{"subject": "math:arxiv_201094", "predicate": "proves", "object": "by the lefschetz fixed point theorem , if an endomorphism of a topological space is fixed - point - "}
{"subject": "math:arxiv_201100", "predicate": "proves", "object": "the generalized chaplygin gas is characterized by the equation of state @xmath0 , with @xmath1 and @"}
{"subject": "math:arxiv_201109", "predicate": "proves", "object": "we derive an equation to compute directly the expected occupation time of the centered ornstein  uhl"}
{"subject": "math:arxiv_201128", "predicate": "proves", "object": "the fokas - lenells ( fl ) equation arises as a model eqution which describes for nonlinear pulse pr"}
{"subject": "math:arxiv_201137", "predicate": "proves", "object": "the behaviour of magnetic monopole solutions of the einstein - yang - mills - higgs equations subjec"}
{"subject": "math:arxiv_201149", "predicate": "proves", "object": "the kdv - equation @xmath0 on the circle admits a global nonlinear fourier transform , also known as"}
{"subject": "math:arxiv_201160", "predicate": "proves", "object": "in a nonlinear optical fiber communication ( ofc ) system with signal power much stronger than noise"}
{"subject": "math:arxiv_201178", "predicate": "proves", "object": "a key result in four dimensional black hole physics , since the early 1970s , is hawking s topology "}
{"subject": "math:arxiv_201179", "predicate": "proves", "object": "the renormalon calculus is used to calculate the terms of order @xmath0 in the perturbative expansio"}
{"subject": "math:arxiv_201180", "predicate": "proves", "object": "we provide an expository account of some of the hopf algebras that can be defined using trees , labe"}
{"subject": "math:arxiv_201181", "predicate": "proves", "object": "we investigate the equation of state , diffusion coefficient , and structural order of a family of s"}
{"subject": "math:arxiv_201191", "predicate": "proves", "object": "in this work we reexamine the lda+u method of anisimov and coworkers in the framework of a plane - w"}
{"subject": "math:arxiv_201196", "predicate": "proves", "object": "the cubic trigonometric b - spline(ctb ) functions are used to set up the collocation method for fin"}
{"subject": "math:arxiv_201201", "predicate": "proves", "object": "the stochastic protein kinetic equations can be stiff for certain parameters , which makes their num"}
{"subject": "math:arxiv_201220", "predicate": "proves", "object": "a modified @xmath0-hypergeometric system is a system of differential equations for the function @xma"}
{"subject": "math:arxiv_201221", "predicate": "proves", "object": "we formulate a langevin description of dynamics of a speckle pattern resulting from the multiple sca"}
{"subject": "math:arxiv_201223", "predicate": "proves", "object": "let @xmath0 be a complex reductive lie algebra and @xmath1 the underling vector space of a finite - "}
{"subject": "math:arxiv_201239", "predicate": "proves", "object": "this article connects the theory of extremal doubly stochastic measures to the geometry and topology"}
{"subject": "math:arxiv_201241", "predicate": "proves", "object": "in this paper , we present the two - step trigonometrically fitted symmetric obrechkoff methods with"}
{"subject": "math:arxiv_201255", "predicate": "proves", "object": "the central theme in this paper is the hopf - laplace equation , which represents stationary solutio"}
{"subject": "math:arxiv_201259", "predicate": "proves", "object": "the canonical `` loop '' formulation of quantum gravity is a mathematically well defined , backgroun"}
{"subject": "math:arxiv_201276", "predicate": "proves", "object": "we derive analytical formula for the optimal trade - off between the mean estimation fidelity and th"}
{"subject": "math:arxiv_201278", "predicate": "proves", "object": "radially inhomogeneous gamma - ray burst ( grb ) jets release variable photospheric emission and can"}
{"subject": "math:arxiv_201281", "predicate": "proves", "object": "a , recently presented , general procedure to find static and axially symmetric , interior solutions"}
{"subject": "math:arxiv_201286", "predicate": "proves", "object": "gravitational redshift is generally calculated without considering the rotation of a body . neglecti"}
{"subject": "math:arxiv_201287", "predicate": "proves", "object": "the equations describing the t - violating photon scattering by a diffraction grating have been obta"}
{"subject": "math:arxiv_201296", "predicate": "proves", "object": "we prove csorba s conjecture that the lovsz complex @xmath0 of graph multimorphisms from the @xmath1"}
{"subject": "math:arxiv_201313", "predicate": "proves", "object": "we propose a method for the algorithmic quantum simulation of memory effects described by integrodif"}
{"subject": "math:arxiv_201322", "predicate": "proves", "object": "we study an effective 4-dimensional scalar - tensor field theory , originated from an underlying bra"}
{"subject": "math:arxiv_201330", "predicate": "proves", "object": "we relate the andrews - curtis conjecture to the triviality problem for balanced presentations using"}
{"subject": "math:arxiv_201352", "predicate": "proves", "object": "we propose a conjecture refining the stark conjecture st(@xmath0,@xmath1 ) in the function field cas"}
{"subject": "math:arxiv_201363", "predicate": "proves", "object": "we propose an iterative finite element method for solving non - linear hydromagnetic and steady eule"}
{"subject": "math:arxiv_201373", "predicate": "proves", "object": "using stationary solutions of the linearized two - dimensional gross - pitaevskii equation , we desc"}
{"subject": "math:arxiv_201381", "predicate": "proves", "object": "sigmoid semilogarithmic functions with shape of boltzmann equations , have become extremely popular "}
{"subject": "math:arxiv_201387", "predicate": "proves", "object": "we show that , by correctly selecting the probability distribution function @xmath0 for a particle s"}
{"subject": "math:arxiv_201389", "predicate": "proves", "object": "we show that the degree of the alexander polynomial of an irreducible plane algebraic curve with nod"}
{"subject": "math:arxiv_201393", "predicate": "proves", "object": "a calculation formula of volume of revolution with integration by parts of definite integral is deri"}
{"subject": "math:arxiv_201413", "predicate": "proves", "object": "we represent an algorithm allowing one to construct new classes of partially integrable multidimensi"}
{"subject": "math:arxiv_201415", "predicate": "proves", "object": "let @xmath0 be a simple finite - dimensional lie superalgebra with a non - degenerate supersymmetric"}
{"subject": "math:arxiv_201418", "predicate": "proves", "object": "using the soft - pion theorem and the assumption on the final - state interactions , we include the "}
{"subject": "math:arxiv_201446", "predicate": "proves", "object": "in standard general - relativistic cosmology , for fluids with a linear equation of state ( eos ) @x"}
{"subject": "math:arxiv_201453", "predicate": "proves", "object": "we investigate properties of the correlation function of clusters of galaxies using geometrical mode"}
{"subject": "math:arxiv_201458", "predicate": "proves", "object": "we discuss pair production of stops , sbottoms , staus and tau  sneutrinos at a @xmath0 collider . \n"}
{"subject": "math:arxiv_201459", "predicate": "proves", "object": "we consider the hegselmann - krause dynamics on a one - dimensional torus and provide the first proo"}
{"subject": "math:arxiv_201465", "predicate": "proves", "object": "it has recently been shown that the einstein equation can be derived by demanding a non - equilibriu"}
{"subject": "math:arxiv_201467", "predicate": "proves", "object": "we introduce the natural and fairly general notion of a subanalytic bundle ( with a finite dimension"}
{"subject": "math:arxiv_201477", "predicate": "proves", "object": "scattering theory for @xmath0-forms on manifolds with cylindrical ends has a direct interpretation i"}
{"subject": "math:arxiv_201487", "predicate": "proves", "object": "slow manifolds are important geometric structures in the state spaces of dynamical systems with mult"}
{"subject": "math:arxiv_201494", "predicate": "proves", "object": "we propose a simple stirring experiment to generate quantized ring currents and solitary excitations"}
{"subject": "math:arxiv_201495", "predicate": "proves", "object": "using a conjecture that allows to approach separable - variables conductivity functions , the elemen"}
{"subject": "math:arxiv_201496", "predicate": "proves", "object": "a conjecture of berge and fulkerson ( 1971 ) states that every cubic bridgeless graph contains 6 per"}
{"subject": "math:arxiv_201499", "predicate": "proves", "object": "this paper gives a summary of our approach to invariants of three manifolds via right integrals on f"}
{"subject": "math:arxiv_201510", "predicate": "proves", "object": "we study systems of reaction - diffusion equations with discontinuous spatially distributed hysteres"}
{"subject": "math:arxiv_201512", "predicate": "proves", "object": "let @xmath0 be a simply - connected simple compact lie group and let @xmath1 be an orientable smooth"}
{"subject": "math:arxiv_201523", "predicate": "proves", "object": "let @xmath0 be an @xmath1-dimensional manifold , @xmath2 be a one - dimensional foliation on @xmath0"}
{"subject": "math:arxiv_201540", "predicate": "proves", "object": "we investigate the electron spin relaxation of @xmath0-type inas quantum wires by numerically solvin"}
{"subject": "math:arxiv_201554", "predicate": "proves", "object": "by means of particle simulations of the equations of motion for ions interacting among themselves un"}
{"subject": "math:arxiv_201560", "predicate": "proves", "object": "quantum key distribution ( qkd ) offers the promise of absolutely secure communications . \n however "}
{"subject": "math:arxiv_201563", "predicate": "proves", "object": "the twisted torsion of a 3-manifold is well - known to be zero whenever the corresponding twisted al"}
{"subject": "math:arxiv_201604", "predicate": "proves", "object": "if there are any @xmath0-component counterexamples to the generalized property r conjecture , a leas"}
{"subject": "math:arxiv_201616", "predicate": "proves", "object": "several cubature formulas on the cubic domains are derived using the discrete fourier analysis assoc"}
{"subject": "math:arxiv_201630", "predicate": "proves", "object": "in this article , we show in the @xmath0 case that the fusion product of kirillov - reshetikhin modu"}
{"subject": "math:arxiv_201634", "predicate": "proves", "object": "stationary wave solutions of the perturbed korteweg - de vries equation are considered in the presen"}
{"subject": "math:arxiv_201635", "predicate": "proves", "object": "we establish a large deviation theory for a velocity jump process , where new random velocities are "}
{"subject": "math:arxiv_201637", "predicate": "proves", "object": "the purpose of the paper is two - fold : to introduce a multivariable creative telescoping method , "}
{"subject": "math:arxiv_201638", "predicate": "proves", "object": "the aim of the paper is to demonstrate the use of the galerkin method for some kind of volterra equa"}
{"subject": "math:arxiv_201654", "predicate": "proves", "object": "r. schwartz s inequality provides an upper bound for the schwarzian derivative of a parameterization"}
{"subject": "math:arxiv_201661", "predicate": "proves", "object": "by using the hugoniot curve in detonics as a riemann invariant of a velocity - pressure model , we g"}
{"subject": "math:arxiv_201667", "predicate": "proves", "object": "we prove that every piecewise linear manifold of dimension up to four on which a finite group acts b"}
{"subject": "math:arxiv_201671", "predicate": "proves", "object": "the harary - hill conjecture , still open after more than 50 years , asserts that the crossing numbe"}
{"subject": "math:arxiv_201674", "predicate": "proves", "object": "we extensively study the numerical accuracy of the well - known time splitting fourier spectral meth"}
{"subject": "math:arxiv_201678", "predicate": "proves", "object": "in this note , we complete the classification of the geometry of non - compact two - dimensional gra"}
{"subject": "math:arxiv_201694", "predicate": "proves", "object": "we give a comprehensive and constructive proof of the no - go theorem of a bit commitment given by m"}
{"subject": "math:arxiv_201698", "predicate": "proves", "object": "we study the kpz equation ( in @xmath0 = @xmath1 , @xmath2 and @xmath3 spatial dimensions ) by using"}
{"subject": "math:arxiv_201700", "predicate": "proves", "object": "this research announcement continues the study of the symplectic homology of weinstein manifolds und"}
{"subject": "math:arxiv_201701", "predicate": "proves", "object": "theories that support dynamical generation of a fermion mass gap are of widespread interest . \n the "}
{"subject": "math:arxiv_201706", "predicate": "proves", "object": "we consider the laplacian @xmath0 on an asymptotically hyperbolic manifold @xmath1 , as defined by m"}
{"subject": "math:arxiv_201710", "predicate": "proves", "object": "we adapt the notion of an algebraic theory to work in the setting of quasicategories developed recen"}
{"subject": "math:arxiv_201714", "predicate": "proves", "object": "in this paper we define a pair of faithful functors that map isomorphic and isotopic finite - dimens"}
{"subject": "math:arxiv_201722", "predicate": "proves", "object": "the double nucleus geometry of m31 is currently best explained by the eccentric disk hypothesis of t"}
{"subject": "math:arxiv_201723", "predicate": "proves", "object": "* in this note we present a universal formula in terms of theta functions for the log- capacity of s"}
{"subject": "math:arxiv_201726", "predicate": "proves", "object": "on the basis of coupled ginzburg \n landau equations we study nonhomogeneous states in systems with t"}
{"subject": "math:arxiv_201732", "predicate": "proves", "object": "the stick - slip dynamics is considered from the nonlinear differential - algebraic equation ( dae )"}
{"subject": "math:arxiv_201743", "predicate": "proves", "object": "we prove an analogue of the yomdin - gromov lemma for @xmath0-adic definable sets and more broadly i"}
{"subject": "math:arxiv_201744", "predicate": "proves", "object": "we develop two further numerical tests of parton cascade models : the ideal gas equation of state an"}
{"subject": "math:arxiv_201756", "predicate": "proves", "object": "given a classical semisimple complex algebraic group @xmath0 and a symmetric pair @xmath1 of non - h"}
{"subject": "math:arxiv_201761", "predicate": "proves", "object": "we study rational solutions of the boussinesq equation , which is a soliton equation solvable by the"}
{"subject": "math:arxiv_201762", "predicate": "proves", "object": "charmless @xmath0 decays are studied using flavor su(3 ) symmetry . \n amplitude with charming pengui"}
{"subject": "math:arxiv_201774", "predicate": "proves", "object": "it is shown that the schrdinger nonrelativistic equation of a system of interacting particles is not"}
{"subject": "math:arxiv_201778", "predicate": "proves", "object": "the color screening in a qcd plasma , that was studied in a formulation making evident similarities "}
{"subject": "math:arxiv_201780", "predicate": "proves", "object": "a vitali - type theorem for vector lattice - valued modulars with respect to filter convergence is p"}
{"subject": "math:arxiv_201782", "predicate": "proves", "object": "we carry out a comprehensive study of the dynamics of large - scale perturbations in quintessence sc"}
{"subject": "math:arxiv_201785", "predicate": "proves", "object": "we propose a two parameter generalization for the dark energy equation of state ( eos ) @xmath0 for "}
{"subject": "math:arxiv_201795", "predicate": "proves", "object": "this introduction to green s functions is based on their role as kernels of differential equations ."}
{"subject": "math:arxiv_201802", "predicate": "proves", "object": "we introduce a new formulation of the diquark breaking mechanism which describes with no free parame"}
{"subject": "math:arxiv_201804", "predicate": "proves", "object": "we study the homomorphism spaces between specht modules for the hecke algebras @xmath0 of type @xmat"}
{"subject": "math:arxiv_201807", "predicate": "proves", "object": "the summation formula within pascal triangle resulting in the fibonacci sequence is extended to the "}
{"subject": "math:arxiv_201811", "predicate": "proves", "object": "we provide a specific representation of convex polynomials nonnegative on a convex ( not necessarily"}
{"subject": "math:arxiv_201816", "predicate": "proves", "object": "the @xmath0 , @xmath1 , @xmath2 , @xmath3 wave @xmath4 phase shifts have been studied in the chiral "}
{"subject": "math:arxiv_201818", "predicate": "proves", "object": "this paper gives a partial confirmation of a conjecture of p.  agarwal , s.  har - peled , m.  shari"}
{"subject": "math:arxiv_201822", "predicate": "proves", "object": "cluster variables in a cluster algebra can be parametrized by two families of integer vectors : @xma"}
{"subject": "math:arxiv_201829", "predicate": "proves", "object": "given a transverse knot @xmath0 in a three dimensional contact manifold @xmath1 , in @xcite colin , "}
{"subject": "math:arxiv_201836", "predicate": "proves", "object": "we consider a class of linear schrdinger equations in @xmath0 with rough hamiltonian , namely with c"}
{"subject": "math:arxiv_201844", "predicate": "proves", "object": "integral simplicial volume is a homotopy invariant of oriented closed connected manifolds , defined "}
{"subject": "math:arxiv_201855", "predicate": "proves", "object": "we establish the factorization of dirac operators on riemannian submersions of compact spin@xmath0 m"}
{"subject": "math:arxiv_201863", "predicate": "proves", "object": "motivated by a possibility to optimize modelling of the population evolution we postulate a generali"}
{"subject": "math:arxiv_201872", "predicate": "proves", "object": "we investigate the behaviour of stochastic differential equations , especially burgers eq . , by mea"}
{"subject": "math:arxiv_201873", "predicate": "proves", "object": "the paper formulates a condition such that if the condition holds the riemann hypothesis is true . \n"}
{"subject": "math:arxiv_201886", "predicate": "proves", "object": "the electronic structures of the manifold of potential energy surfaces generated in the lower energy"}
{"subject": "math:arxiv_201887", "predicate": "proves", "object": "this paper presents a review of the current state - of - the - art of numerical methods for nonlinea"}
{"subject": "math:arxiv_201892", "predicate": "proves", "object": "we introduce the hofer - zehnder @xmath0-semicapacity @xmath1 of a symplectic manifold @xmath2 ( or "}
{"subject": "math:arxiv_201894", "predicate": "proves", "object": "we first review the fusion procedure for an arbitrary solution of the yang  baxter equation and the "}
{"subject": "math:arxiv_201909", "predicate": "proves", "object": "in this paper , we quantify the statistical coherence between financial time series by means of the "}
{"subject": "math:arxiv_201910", "predicate": "proves", "object": "we derive a set of algebraic equations , the so - called multipartite separability eigenvalue equati"}
{"subject": "math:arxiv_201919", "predicate": "proves", "object": "the set @xmath0 ( with integers @xmath1 ) is a beatty set with density @xmath2 . \n we derive a formu"}
{"subject": "math:arxiv_201938", "predicate": "proves", "object": "cameron gordon([problem 3.91 in [ ki ] ) conjectured that a connected sum of two heegaard splittings"}
{"subject": "math:arxiv_201942", "predicate": "proves", "object": "recent links between finsler geometry and the geometry of spacetimes are briefly revisited , and pro"}
{"subject": "math:arxiv_201963", "predicate": "proves", "object": "we show that the 3d reductions of the bethe - salpeter equation have the same bound state spectrum a"}
{"subject": "math:arxiv_201968", "predicate": "proves", "object": "the sasa - satsuma equation is an integrable higher - order nonlinear schrdinger equation . \n higher"}
{"subject": "math:arxiv_201976", "predicate": "proves", "object": "the problems of classical electrodynamics with the electron equation of motion and with non - integr"}
{"subject": "math:arxiv_201983", "predicate": "proves", "object": "we prove that every derivation acting on a von neumann algebra @xmath0 with values in a quasi - norm"}
{"subject": "math:arxiv_201984", "predicate": "proves", "object": "we present a new derivation of the cors baade  wesselink method in the walraven photometric system ."}
{"subject": "math:arxiv_201986", "predicate": "proves", "object": "these notes are a self - contained introduction to the use of dynamical and probabilistic methods in"}
{"subject": "math:arxiv_201993", "predicate": "proves", "object": "the dynamical response to a pulsed magnetic field has been studied here both using monte carlo simul"}
{"subject": "math:arxiv_201999", "predicate": "proves", "object": "we study the propagation , observation and control properties of the @xmath0 wave equation on a boun"}
{"subject": "math:arxiv_202016", "predicate": "proves", "object": "we present evidence that multigrid ( mg ) works for wave equations in disordered systems , e.g. in t"}
{"subject": "math:arxiv_202039", "predicate": "proves", "object": "the study of magnetic connectivity in the solar corona reveals a need to generalize the field line m"}
{"subject": "math:arxiv_202065", "predicate": "proves", "object": "a hybridized discontinuous galerkin method is proposed for solving 2d fractional convection - diffus"}
{"subject": "math:arxiv_202079", "predicate": "proves", "object": "the evolution of the closed friedmann universe with a packet of short scalar waves is considered wit"}
{"subject": "math:arxiv_202091", "predicate": "proves", "object": "a @xmath0-periodic 3-manifold is a 3-manifold that admits a @xmath1-action whose fixed point set is "}
{"subject": "math:arxiv_202112", "predicate": "proves", "object": "in this paper , we apply quantitative operator @xmath0-theory to develop an algorithm for computing "}
{"subject": "math:arxiv_202115", "predicate": "proves", "object": "the kerr - newman black hole solution can be constructed straightforwardly as the unique solution to"}
{"subject": "math:arxiv_202117", "predicate": "proves", "object": "this paper surveys recent results on classifying partially hyperbolic diffeomorphisms . \n this inclu"}
{"subject": "math:arxiv_202130", "predicate": "proves", "object": "we consider non - linear changes of variables and fubini s theorem for certain integrals over a two "}
{"subject": "math:arxiv_202138", "predicate": "proves", "object": "this work introduces screw theory , a venerable but yet little known theory aimed at describing rigi"}
{"subject": "math:arxiv_202143", "predicate": "proves", "object": "we show that the novel figure eight singularity in a pseudoholomorphic quilt can be continuously rem"}
{"subject": "math:arxiv_202147", "predicate": "proves", "object": "we construct the equations for the growth kinetics of a structural glass within mode - coupling theo"}
{"subject": "math:arxiv_202153", "predicate": "proves", "object": "we trace progress and thinking about the strominger - yau - zaslow conjecture since its introduction"}
{"subject": "math:arxiv_202155", "predicate": "proves", "object": "we develop a new method for describing the dynamics of @xmath0-dimensional thermal plasmas . using a"}
{"subject": "math:arxiv_202184", "predicate": "proves", "object": "limiting fragmentation in proton - proton , deuteron - nucleus and nucleus - nucleus collisions is a"}
{"subject": "math:arxiv_202209", "predicate": "proves", "object": "pulse trains growing from modulated continuous waves ( cws ) are considered , using solutions of the"}
{"subject": "math:arxiv_202212", "predicate": "proves", "object": "we prove that the defocusing quintic wave equation , with dirichlet boundary conditions , is globall"}
{"subject": "math:arxiv_202235", "predicate": "proves", "object": "a taut contact sphere on a @xmath0-manifold is a linear @xmath1-sphere of contact forms , all defini"}
{"subject": "math:arxiv_202243", "predicate": "proves", "object": "simple and useful classical logic is unfortunately defective with its problematic definition of mate"}
{"subject": "math:arxiv_202250", "predicate": "proves", "object": "we will simplify earlier proofs of perelman s collapsing theorem for @xmath0-manifolds given by shio"}
{"subject": "math:arxiv_202254", "predicate": "proves", "object": "we formulate @xmath0-nucleus quasielastic scattering in a manner which closely parallels standard tr"}
{"subject": "math:arxiv_202256", "predicate": "proves", "object": "for each prime @xmath0 and each embedding @xmath1 of the multiplicative group of an algebraic closur"}
{"subject": "math:arxiv_202261", "predicate": "proves", "object": "we give a survey at an introductory level of old and recent results in the study of critical points "}
{"subject": "math:arxiv_202269", "predicate": "proves", "object": "we extend the rack algebra @xmath0 $ ] defined by andruskiewitsch and graa to the case of biracks , "}
{"subject": "math:arxiv_202294", "predicate": "proves", "object": "we study relativistically expanding electromagnetic fields of cylindrical geometry . \n the fields em"}
{"subject": "math:arxiv_202300", "predicate": "proves", "object": "twisted commutative algebras ( tca s ) have played an important role in the nascent field of represe"}
{"subject": "math:arxiv_202301", "predicate": "proves", "object": "in the domain - wall formulation of chiral fermion , the finite separation between domain - walls ( "}
{"subject": "math:arxiv_202306", "predicate": "proves", "object": "in this paper , we prove the k- and l - theoretical isomorphism conjecture for baumslag - solitar gr"}
{"subject": "math:arxiv_202309", "predicate": "proves", "object": "the lindblad equation is an evolution equation for the density matrix in quantum theory . \n it is th"}
{"subject": "math:arxiv_202339", "predicate": "proves", "object": "previous work in the literature has studied gravitational radiation in black - hole collisions at th"}
{"subject": "math:arxiv_202340", "predicate": "proves", "object": "a path integral with brst symmetry can be formulated by summing the gribov - type copies in a very s"}
{"subject": "math:arxiv_202343", "predicate": "proves", "object": "we give a simple proof of guillemin s theorem on the determination of the magnetic field on the toru"}
{"subject": "math:arxiv_202346", "predicate": "proves", "object": "_ there is a growing consensus among physicists that the classical notion of spacetime has to be dra"}
{"subject": "math:arxiv_202363", "predicate": "proves", "object": "we consider the @xmath0-state potts model in the random - cluster formulation , defined on _ finite "}
{"subject": "math:arxiv_202378", "predicate": "proves", "object": "in this paper , we study the equilibrium behavior of eigen s quasispecies equations for an arbitrary"}
{"subject": "math:arxiv_202384", "predicate": "proves", "object": "the derivative of the riemann zeta function was computed numerically on several large sets of zeros "}
{"subject": "math:arxiv_202404", "predicate": "proves", "object": "the equations providing to describe generation process in fel with varied parameters of diffraction "}
{"subject": "math:arxiv_202412", "predicate": "proves", "object": "in this paper we study topology of moduli spaces of tropical curves of genus  @xmath0 with @xmath1 m"}
{"subject": "math:arxiv_202418", "predicate": "proves", "object": "we suggest a method for integrating sub - families of a family of nonlinear schrdinger equations pro"}
{"subject": "math:arxiv_202427", "predicate": "proves", "object": "we present a new discretization for the hadamard fractional derivative , that simplifies the computa"}
{"subject": "math:arxiv_202438", "predicate": "proves", "object": "we consider a piecewise smooth system in the neighborhood of a co - dimension 2 discontinuity manifo"}
{"subject": "math:arxiv_202450", "predicate": "proves", "object": "we prove that uniqueness for the caldern problem on a riemannian manifold with boundary follows from"}
{"subject": "math:arxiv_202454", "predicate": "proves", "object": "* gaia - ca - tn - lo - sz-002 - 2 *    issue 2 ,    numerical integration of the differential equat"}
{"subject": "math:arxiv_202455", "predicate": "proves", "object": "we study the parameter dependence of the internal structure of resonance states by formulating compl"}
{"subject": "math:arxiv_202464", "predicate": "proves", "object": "this paper presents a cut - elimination proof for the logic @xmath0 , which is an extension of a pro"}
{"subject": "math:arxiv_202466", "predicate": "proves", "object": "* when magnetic moments ( spins ) are regularly arranged in a geometry of a triangular motif , the s"}
{"subject": "math:arxiv_202478", "predicate": "proves", "object": "we test the one - loop chiral perturbation theory formula on unquenched lattice data of pseudoscalar"}
{"subject": "math:arxiv_202484", "predicate": "proves", "object": "we study a planar two - temperature diffusion of a brownian particle in a parabolic potential . \n th"}
{"subject": "math:arxiv_202502", "predicate": "proves", "object": "in this paper we revisit the question that in what sense empty @xmath0 black brane geometry can be t"}
{"subject": "math:arxiv_202505", "predicate": "proves", "object": "using gaussian wave packet solutions , we examine how the kinetic energy is distributed in time - de"}
{"subject": "math:arxiv_202511", "predicate": "proves", "object": "let @xmath0 be a smooth quasi - projective variety of dimension @xmath1 , @xmath2 bloch s higher cho"}
{"subject": "math:arxiv_202517", "predicate": "proves", "object": "we characterize the relaxation of the perimeter in an infinite dimensional wiener space , with respe"}
{"subject": "math:arxiv_202527", "predicate": "proves", "object": "we suggest a possible approach to proving the mzard - parisi formula for the free energy in the dilu"}
{"subject": "math:arxiv_202545", "predicate": "proves", "object": "given a finite set @xmath0 we characterize the diagonals of self - adjoint operators with spectrum @"}
{"subject": "math:arxiv_202551", "predicate": "proves", "object": "the large-@xmath0 saddle - point equations for the principal chiral models defined on a @xmath1 dime"}
{"subject": "math:arxiv_202565", "predicate": "proves", "object": "the system of four identical bosons is studied using momentum - space equations for the four - parti"}
{"subject": "math:arxiv_202610", "predicate": "proves", "object": "in this paper , we study the ricci flow of solvmanifolds whose lie algebra has an abelian ideal of c"}
{"subject": "math:arxiv_202622", "predicate": "proves", "object": "considering two - body integral equations we show how they can be dimensionally reduced by integrati"}
{"subject": "math:arxiv_202652", "predicate": "proves", "object": "for any strong smash product algebra @xmath0 of two algebras @xmath1 and @xmath2 with a bijective mo"}
{"subject": "math:arxiv_202653", "predicate": "proves", "object": "we prove very general index formulae for integral galois modules , specifically for units in rings o"}
{"subject": "math:arxiv_202662", "predicate": "proves", "object": "a 3-parametric family of 6-dimensional quasi - khler manifolds with norden metric is constructed on "}
{"subject": "math:arxiv_202672", "predicate": "proves", "object": "this paper is a survey on universal algorithms for solving the matrix bellman equations over semirin"}
{"subject": "math:arxiv_202675", "predicate": "proves", "object": "we produce skew pieri rules for hall  littlewood functions in the spirit of assaf and mcnamara @xcit"}
{"subject": "math:arxiv_202682", "predicate": "proves", "object": "using the cluster expansions for n - point green functions we derive a closed set of dynamical equat"}
{"subject": "math:arxiv_202688", "predicate": "proves", "object": "recently gay and kirby described a new decomposition of smooth closed @xmath0manifolds called a tris"}
{"subject": "math:arxiv_202699", "predicate": "proves", "object": "in this paper , we prove that there exists a unique solution to the dirichlet boundary value problem"}
{"subject": "math:arxiv_202730", "predicate": "proves", "object": "a survey of problems , conjectures , and theorems about quasi - isometric classification and rigidit"}
{"subject": "math:arxiv_202731", "predicate": "proves", "object": "we construct an infinite family of simply connected , pairwise nondiffeomorphic 4manifolds , all hom"}
{"subject": "math:arxiv_202740", "predicate": "proves", "object": "[ sec : abstract ] torus canards are special solutions of slow / fast systems that alternate between"}
{"subject": "math:arxiv_202749", "predicate": "proves", "object": "we define a class of probabilistic models in terms of an operator algebra of stochastic processes , "}
{"subject": "math:arxiv_202759", "predicate": "proves", "object": "we study solutions of the time dependent schrdinger equation on riemannian manifolds with oscillator"}
{"subject": "math:arxiv_202771", "predicate": "proves", "object": "it is proved the existence of large algebraic structures including large vector subspaces or infinit"}
{"subject": "math:arxiv_202804", "predicate": "proves", "object": "the landau - lifshitz - gilbert ( llg ) equation that describes the dynamics of a macroscopic magnet"}
{"subject": "math:arxiv_202813", "predicate": "proves", "object": "given the wealth of increasingly accurate cosmological observations , especially the recent results "}
{"subject": "math:arxiv_202831", "predicate": "proves", "object": "we propose a local real - space formulation for orbital - free dft with density dependent kinetic en"}
{"subject": "math:arxiv_202837", "predicate": "proves", "object": "we review the analytical methods of solving the stochastic equations for barrier - type dynamical be"}
{"subject": "math:arxiv_202856", "predicate": "proves", "object": "we present simple analytical formulae which describe solutions of the rg equations for yukawa coupli"}
{"subject": "math:arxiv_202861", "predicate": "proves", "object": "let @xmath0 be an elementary closed semi - algebraic set in @xmath1 , i.e. , there exist real polyno"}
{"subject": "math:arxiv_202862", "predicate": "proves", "object": "feynman s path amplitude formulation of quantum mechanics is used to analyse the production of charg"}
{"subject": "math:arxiv_202868", "predicate": "proves", "object": "we deal with the uniqueness of distributional solutions to the continuity equation with a sobolev ve"}
{"subject": "math:arxiv_202873", "predicate": "proves", "object": "a density functional theory for many - body lattice models is considered in which the single - parti"}
{"subject": "math:code_1", "predicate": "proves", "object": "formulate an equation to calculate the height of a triangle given the angle, side lengths and opposi"}
{"subject": "math:code_563", "predicate": "proves", "object": "formulate an sql query to make this table:"}
{"subject": "math:code_1114", "predicate": "proves", "object": "formulate a query to select the rows based on multiple conditions"}
{"subject": "math:code_1256", "predicate": "proves", "object": "write a function to find the area of a triangle using the formula `a = 0.5 * base * height`."}
{"subject": "math:code_1257", "predicate": "proves", "object": "write a function to calculate the surface area of a sphere using the formula `4 * pi * r^2`."}
{"subject": "math:code_1399", "predicate": "proves", "object": "create a formula to calculate the surface area of a triangular prism"}
{"subject": "math:code_1409", "predicate": "proves", "object": "create a function to calculate the pythagorean theorem given two legs"}
{"subject": "math:code_1579", "predicate": "proves", "object": "translate the following polar equation into a cartesian equation."}
{"subject": "math:code_2010", "predicate": "proves", "object": "create a python function to calculate the area of a triangle using heron\u2019s formula."}
{"subject": "math:code_2680", "predicate": "proves", "object": "solve the following equation for x."}
{"subject": "math:code_2768", "predicate": "proves", "object": "formulate a regex expression in python to check if a given string is an email address."}
{"subject": "math:code_2771", "predicate": "proves", "object": "formulate a regex expression in javascript to verify if a given string contains only numbers."}
{"subject": "math:code_3136", "predicate": "proves", "object": "manually calculate this equation: (5x + 6) / 3"}
{"subject": "math:code_3203", "predicate": "proves", "object": "write a number of equations using the variable x to calculate the area of a triangle with its base s"}
{"subject": "math:code_3851", "predicate": "proves", "object": "given an acute angled triangle, write a function to compute its area using heron's formula."}
{"subject": "math:code_4172", "predicate": "proves", "object": "describe a method to solve an equation of the form ax + b = 0."}
{"subject": "math:code_4838", "predicate": "proves", "object": "you need to find the area of a given circle with the formula: area = pi * r * r"}
{"subject": "math:code_5643", "predicate": "proves", "object": "formulate an sql query for finding the students who have scored over 80% in the test."}
{"subject": "math:code_6074", "predicate": "proves", "object": "enter the variables from the equation below into python code."}
{"subject": "math:code_6172", "predicate": "proves", "object": "use the bisection method to approximate the root of the given equation."}
{"subject": "math:code_6236", "predicate": "proves", "object": "formulate a spark query to delete records having a given value in a field"}
{"subject": "math:code_6282", "predicate": "proves", "object": "construct the code which will generate addition equations with randomized numbers ranging from 0 to "}
{"subject": "math:code_6540", "predicate": "proves", "object": "formulate a loop in python that prints 7 to 18."}
{"subject": "math:code_6568", "predicate": "proves", "object": "evaluate the given algebraic expression by substituting 4 for x."}
{"subject": "math:code_6627", "predicate": "proves", "object": "formulate a query in sql to return the name and address of all customers who have placed an order in"}
{"subject": "math:code_6673", "predicate": "proves", "object": "formulate a query in mongodb to find records with a specific field having an array containing a cert"}
{"subject": "math:code_6891", "predicate": "proves", "object": "compute the bulk density of a polyhedron using the formula $\\frac{mass}{volume}$."}
{"subject": "math:code_7177", "predicate": "proves", "object": "compute the result of the following equation:  5*3 + 1/2"}
{"subject": "math:code_7263", "predicate": "proves", "object": "write a c program to find the root of a quadratic equation"}
{"subject": "math:code_7357", "predicate": "proves", "object": "develop a formula in javascript to calculate the area of a circle."}
{"subject": "math:code_7371", "predicate": "proves", "object": "compute the centroid of given points using mathematical formulas."}
{"subject": "math:code_7684", "predicate": "proves", "object": "formulate a statement using python that will return the value 'true' when the user's age is equal to"}
{"subject": "math:code_7868", "predicate": "proves", "object": "create a function to get the root of a quadratic equation"}
{"subject": "math:code_8604", "predicate": "proves", "object": "suggest a variable name for the following equation: 1 + 2 - 3 x 4"}
{"subject": "math:code_8758", "predicate": "proves", "object": "rewrite the following linear equation into the standard form y = mx + c: x + 2y = 5"}
{"subject": "math:code_8781", "predicate": "proves", "object": "construct a program to find the result of the following equation"}
{"subject": "math:code_8953", "predicate": "proves", "object": "calculate the value of pi using the leibniz formula."}
{"subject": "math:code_9076", "predicate": "proves", "object": "calculate the distance between two points using pythagoras theorem."}
{"subject": "math:code_9444", "predicate": "proves", "object": "create a function that prints out the pythagorean theorem in python."}
{"subject": "math:code_9468", "predicate": "proves", "object": "implement a basic calculator that takes an equation and outputs the result."}
{"subject": "math:code_9502", "predicate": "proves", "object": "implement a function to solve a given equation."}
{"subject": "math:code_9986", "predicate": "proves", "object": "formulate a plan to automate a login process."}
{"subject": "math:code_10017", "predicate": "proves", "object": "write the pseudo-code algorithm that implements the following polynomial equation"}
{"subject": "math:code_10171", "predicate": "proves", "object": "formulate a suitable machine learning model to perform topic clustering."}
{"subject": "math:code_10295", "predicate": "proves", "object": "create a formula that calculates the total cost of an item given the item price and tax rate"}
{"subject": "math:code_10301", "predicate": "proves", "object": "formulate a sql query that fetches the records with the latest date"}
{"subject": "math:code_10610", "predicate": "proves", "object": "solve the quadratic equation 3x^2 + 8x + 4 = 0"}
{"subject": "math:code_10811", "predicate": "proves", "object": "formulate a regular expression to identify even numbers up to 100."}
{"subject": "math:code_11010", "predicate": "proves", "object": "implement the euclidean distance formula using a def function in python."}
{"subject": "math:code_11236", "predicate": "proves", "object": "consider the formula z=(x1n+x2+x3)(2x2+3x3)? find the value of y"}
{"subject": "math:code_11324", "predicate": "proves", "object": "calculate the value of \"x\" in the equation \"5x - 12 = 8\"."}
{"subject": "math:code_11789", "predicate": "proves", "object": "formulate an sql query to find the most expensive product in a given database."}
{"subject": "math:code_12162", "predicate": "proves", "object": "calculate the roots of a quadratic equation given its coefficients."}
{"subject": "math:code_12211", "predicate": "proves", "object": "write a formula in excel to calculate the total cost of a trip given the cost and quantity."}
{"subject": "math:code_12240", "predicate": "proves", "object": "reduce the following equation by applying the distributive property."}
{"subject": "math:code_12292", "predicate": "proves", "object": "formulate a sql query to get all the employee names from the 'employees' table."}
{"subject": "math:code_12296", "predicate": "proves", "object": "write a code to calculate the roots of a quadratic equation in python."}
{"subject": "math:code_12619", "predicate": "proves", "object": "create a javascript program to find the area of a triangle using heron's formula given the three sid"}
{"subject": "math:code_12968", "predicate": "proves", "object": "formulate an algorithm in c++ to find the maximum and minimum elements in an unsorted array."}
{"subject": "math:code_12976", "predicate": "proves", "object": "write an excel formula to calculate the average of the numbers in cells a1 and a2."}
{"subject": "math:code_13222", "predicate": "proves", "object": "implement a function to solve the following equation: x2+y2=z2"}
{"subject": "math:code_13448", "predicate": "proves", "object": "create a method to solve a linear equation ax + b = 0."}
{"subject": "math:code_13612", "predicate": "proves", "object": "build a c++ program that calculates using the below formula"}
{"subject": "math:code_13616", "predicate": "proves", "object": "using matlab, calculate the roots of the equation x*x + 5*x - 6."}
{"subject": "math:code_13663", "predicate": "proves", "object": "write a code that computes the given equation for x."}
{"subject": "math:code_13669", "predicate": "proves", "object": "derive the formula for calculating the circumference of a circle."}
{"subject": "math:code_14276", "predicate": "proves", "object": "find the area of a triangle using the heron's formula"}
{"subject": "math:code_14327", "predicate": "proves", "object": "formulate a sql query to determine the name of the product with the highest price."}
{"subject": "math:code_14700", "predicate": "proves", "object": "create a program to solve a math equation given in a string."}
{"subject": "math:code_15736", "predicate": "proves", "object": "convert the following linear equation into a quadratic equation."}
{"subject": "math:code_16000", "predicate": "proves", "object": "formulate a solution to print out each letter of a string individually."}
{"subject": "math:code_16030", "predicate": "proves", "object": "formulate a sql query to select the name and address of the customers from the database"}
{"subject": "math:code_16105", "predicate": "proves", "object": "formulate a query in sql that would output the names of products that cost more than $50."}
{"subject": "math:code_16220", "predicate": "proves", "object": "given two equations, predict the range of the output variable."}
{"subject": "math:code_16423", "predicate": "proves", "object": "fill in the blanks to calculate the standard deviation of an array using the formula."}
{"subject": "math:code_16701", "predicate": "proves", "object": "balance the following reaction equation?"}
{"subject": "math:code_17316", "predicate": "proves", "object": "develop a function in c++ to find the roots of a quadratic equation ax^2 + bx + c = 0."}
{"subject": "math:code_17632", "predicate": "proves", "object": "create a java program for solving quadratic equations."}
{"subject": "math:code_17761", "predicate": "proves", "object": "formulate a query to select the first names of customers from the customers table."}
{"subject": "math:code_17766", "predicate": "proves", "object": "formulate a query to select the records from the customers table where the gender is not equal to 'f"}
{"subject": "math:code_18385", "predicate": "proves", "object": "find the values of a, b and c in this equation."}
{"subject": "math:code_18451", "predicate": "proves", "object": "create a network topology using the following input."}
{"subject": "math:code_18520", "predicate": "proves", "object": "find the derivate of this equation: f(x) = x^2 + 5x + 3"}
{"subject": "math:code_18702", "predicate": "proves", "object": "create a code snippet that solves the following equation: 4x + 5y = 20"}
{"subject": "math:code_19281", "predicate": "proves", "object": "create a function to solve a quadratic equation in javascript."}
{"subject": "math:code_19363", "predicate": "proves", "object": "create a function that evaluates the quadratic equation."}
{"subject": "math:code_19675", "predicate": "proves", "object": "identify the dependent and independent variables in the following equation"}
{"subject": "math:code_19686", "predicate": "proves", "object": "formulate a matlab expression for calculating the sum of the first 10 natural numbers."}
{"subject": "math:code_19893", "predicate": "proves", "object": "formulate an algorithm that helps you arrange a given set of numbers in ascending order."}
{"subject": "math:medical_1184", "predicate": "proves", "object": "q:a 4-month-old girl is brought to the physician because she has been regurgitating and vomiting 10\u2013"}
{"subject": "math:medical_2256", "predicate": "proves", "object": "q:a 3-month-old male presents to the pediatrician with his mother for a well child visit. the patien"}
{"subject": "math:medical_2961", "predicate": "proves", "object": "q:a 1-month-old boy is brought to the physician because of a 5-day history of generalized fatigue an"}
{"subject": "math:medical_3670", "predicate": "proves", "object": "q:a new formula for an anti-wrinkle cream is being tested for efficacy in a group of 362 healthy 40-"}
{"subject": "math:medical_4986", "predicate": "proves", "object": "q:a four-week-old female is evaluated in the neonatal intensive care unit for feeding intolerance wi"}
{"subject": "math:medical_7206", "predicate": "proves", "object": "q:a researcher is currently working on developing new cholinergic receptor agonist drugs. he has for"}
{"subject": "math:medical_7915", "predicate": "proves", "object": "q:an investigator is working with a mutant strain of mice that lack a consistent density of sarcolem"}