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https://en.wikipedia.org/wiki/Bird%E2%80%93Meertens%20formalism | The Bird–Meertens formalism (BMF) is a calculus for deriving programs from program specifications (in a functional programming setting) by a process of equational reasoning. It was devised by Richard Bird and Lambert Meertens as part of their work within IFIP Working Group 2.1.
It is sometimes referred to in publicati... |
https://en.wikipedia.org/wiki/Virtually%20Haken%20conjecture | In topology, an area of mathematics, the virtually Haken conjecture states that every compact, orientable, irreducible three-dimensional manifold with infinite fundamental group is virtually Haken. That is, it has a finite cover (a covering space with a finite-to-one covering map) that is a Haken manifold.
After the p... |
https://en.wikipedia.org/wiki/Sequential%20estimation | In statistics, sequential estimation refers to estimation methods in sequential analysis where the sample size is not fixed in advance. Instead, data is evaluated as it is collected, and further sampling is stopped in accordance with a predefined stopping rule as soon as significant results are observed.
The generic v... |
https://en.wikipedia.org/wiki/Bounded%20mean%20oscillation | In harmonic analysis in mathematics, a function of bounded mean oscillation, also known as a BMO function, is a real-valued function whose mean oscillation is bounded (finite). The space of functions of bounded mean oscillation (BMO), is a function space that, in some precise sense, plays the same role in the theory of... |
https://en.wikipedia.org/wiki/Cameron%20Gordon%20%28mathematician%29 | Cameron Gordon (born 1945) is a Professor and Sid W. Richardson Foundation Regents Chair in the Department of Mathematics at the University of Texas at Austin, known for his work in knot theory. Among his notable results is his work with Marc Culler, John Luecke, and Peter Shalen on the cyclic surgery theorem. This w... |
https://en.wikipedia.org/wiki/Lebesgue%20integrability | In mathematics, Lebesgue integrability may refer to:
Whether the Lebesgue integral of a function is defined; this is what is most often meant.
The Lebesgue integrability condition, which determines whether the Riemann integral of a function is defined. Confusingly, this result is due to Lebesgue, but refers to the Ri... |
https://en.wikipedia.org/wiki/Victor%20Kac | Victor Gershevich (Grigorievich) Kac (; born 19 December 1943) is a Soviet and American mathematician at MIT, known for his work in representation theory. He co-discovered Kac–Moody algebras, and used the Weyl–Kac character formula for them to reprove the Macdonald identities. He classified the finite-dimensional simp... |
https://en.wikipedia.org/wiki/184%20%28number%29 | 184 (one hundred [and] eighty-four) is the natural number following 183 and preceding 185.
In mathematics
There are 184 different Eulerian graphs on eight unlabeled vertices, and 184 paths by which a chess rook can travel from one corner of a 4 × 4 chessboard to the opposite corner without passing through the same squ... |
https://en.wikipedia.org/wiki/National%20Institute%20of%20Statistics%20and%20Census | National Institute of Statistics and Census (; ) may refer to:
National Institute of Statistics and Census of Argentina
National Institute of Statistics and Census of Costa Rica
National Institute of Statistics and Census of Nicaragua
See also
List of national and international statistical services
National Instit... |
https://en.wikipedia.org/wiki/Gesellschaft%20f%C3%BCr%20Angewandte%20Mathematik%20und%20Mechanik | Gesellschaft für Angewandte Mathematik und Mechanik ("Society of Applied Mathematics and Mechanics"), often referred to by the acronym GAMM, is a German society for the promotion of science, founded in 1922 by the physicist Ludwig Prandtl and the mathematician Richard von Mises. The society awards the Richard von Mise... |
https://en.wikipedia.org/wiki/United%20States%20immigration%20statistics | The 1850 United States census was the first federal U.S. census to query respondents about their "nativity"—i.e, where they were born, whether in the United States or outside of it—and is thus the first point at which solid statistics become available. The following chart, based on statistics from the U.S. Census from ... |
https://en.wikipedia.org/wiki/Lawrence%20Shepp | Lawrence Alan Shepp (September 9, 1936 Brooklyn, NY – April 23, 2013, Tucson, AZ) was an American mathematician, specializing in statistics and computational tomography.
Shepp obtained his PhD from Princeton University in 1961 with a dissertation titled Recurrent Sums of Random Variables. His advisor was William Fell... |
https://en.wikipedia.org/wiki/International%20Society%20for%20Mathematical%20Sciences | The International Society for Mathematical Sciences is a mathematics society, primarily based in Japan. It was formerly known as the Japanese Association of Mathematical Sciences, and was founded in 1948 by Tatsujiro Shimizu.
The ISMS publishes a bimonthly scientific journal, Scientiae Mathematicae Japonicae (), which... |
https://en.wikipedia.org/wiki/Finite%20map | A finite map can be one of the following:
In computer science, finite map is a synonym for an associative array.
A finite map in algebraic geometry is a regular map such that the preimage of any point is a finite set, plus a closedness property. |
https://en.wikipedia.org/wiki/Whitehead%27s%20lemma | Whitehead's lemma is a technical result in abstract algebra used in algebraic K-theory. It states that a matrix of the form
is equivalent to the identity matrix by elementary transformations (that is, transvections):
Here, indicates a matrix whose diagonal block is and entry is .
The name "Whitehead's lemma"... |
https://en.wikipedia.org/wiki/Integral%20logarithm | The term integral logarithm may stand for:
Discrete logarithm in algebra,
Logarithmic integral function in calculus. |
https://en.wikipedia.org/wiki/Robert%20Ren%C3%A9%20Kuczynski | Robert René ('René') Kuczynski (1876–1947) was a left-wing German economist and demographer and is said to be one of the founders of modern vital statistics.
Early life
His father Wilhelm was a successful banker; his mother Lucy (née Brandeis) a progressive thinker who grew up in Paris in exile among French and German... |
https://en.wikipedia.org/wiki/Cyclic%20code | In coding theory, a cyclic code is a block code, where the circular shifts of each codeword gives another word that belongs to the code. They are error-correcting codes that have algebraic properties that are convenient for efficient error detection and correction.
Definition
Let be a linear code over a finite field ... |
https://en.wikipedia.org/wiki/Thomas%20Banchoff | Thomas Francis Banchoff (born April 7, 1938) is an American mathematician
specializing in geometry. He is a professor at Brown University, where he has taught since 1967. He is known for his research in differential geometry in three and four dimensions, for his efforts to develop methods of computer graphics in the e... |
https://en.wikipedia.org/wiki/Midsphere | In geometry, the midsphere or intersphere of a convex polyhedron is a sphere which is tangent to every edge of the polyhedron. Not every polyhedron has a midsphere, but the uniform polyhedra, including the regular, quasiregular and semiregular polyhedra and their duals all have midspheres. The radius of the midsphere i... |
https://en.wikipedia.org/wiki/Quartic%20plane%20curve | In algebraic geometry, a quartic plane curve is a plane algebraic curve of the fourth degree. It can be defined by a bivariate quartic equation:
with at least one of not equal to zero. This equation has 15 constants. However, it can be multiplied by any non-zero constant without changing the curve; thus by the choice... |
https://en.wikipedia.org/wiki/Subadditivity%20effect | The subadditivity effect is the tendency to judge probability of the whole to be less than the probabilities of the parts.
Example
For instance, subjects in one experiment judged the probability of death from cancer in the United States was 18%, the probability from heart attack was 22%, and the probability of death ... |
https://en.wikipedia.org/wiki/David%20Emmanuel%20%28mathematician%29 | David Emmanuel (31 January 1854 – 4 February 1941) was a Romanian Jewish mathematician and member of the Romanian Academy, considered to be the founder of the modern mathematics school in Romania.
Born in Bucharest, Emmanuel studied at Gheorghe Lazăr and Gheorghe Șincai high schools. In 1873 he went to Paris, where he... |
https://en.wikipedia.org/wiki/Monotone%20class%20theorem | In measure theory and probability, the monotone class theorem connects monotone classes and -algebras. The theorem says that the smallest monotone class containing an algebra of sets is precisely the smallest -algebra containing It is used as a type of transfinite induction to prove many other theorems, such as Fubin... |
https://en.wikipedia.org/wiki/Adams%20spectral%20sequence | In mathematics, the Adams spectral sequence is a spectral sequence introduced by which computes the stable homotopy groups of topological spaces. Like all spectral sequences, it is a computational tool; it relates homology theory to what is now called stable homotopy theory. It is a reformulation using homological alg... |
https://en.wikipedia.org/wiki/Cycle%20index | In combinatorial mathematics a cycle index is a polynomial in several variables which is structured in such a way that information about how a group of permutations acts on a set can be simply read off from the coefficients and exponents. This compact way of storing information in an algebraic form is frequently used i... |
https://en.wikipedia.org/wiki/Solid%20Klein%20bottle | In mathematics, a solid Klein bottle is a three-dimensional topological space (a 3-manifold) whose boundary is the Klein bottle.
It is homeomorphic to the quotient space obtained by gluing the top disk of a cylinder to the bottom disk by a reflection across a diameter of the disk.
Alternatively, one can visualize th... |
https://en.wikipedia.org/wiki/First-order%20partial%20differential%20equation | In mathematics, a first-order partial differential equation is a partial differential equation that involves only first derivatives of the unknown function of n variables. The equation takes the form
Such equations arise in the construction of characteristic surfaces for hyperbolic partial differential equations, in t... |
https://en.wikipedia.org/wiki/Poincar%C3%A9%20inequality | In mathematics, the Poincaré inequality is a result in the theory of Sobolev spaces, named after the French mathematician Henri Poincaré. The inequality allows one to obtain bounds on a function using bounds on its derivatives and the geometry of its domain of definition. Such bounds are of great importance in the mode... |
https://en.wikipedia.org/wiki/Robin%20Wilson | Robin Wilson may refer to:
R. N. D. Wilson (1899–1953), Irish poet
Robin Wilson (author) (1928–2013), science fiction author
Robin Wilson (mathematician) (born 1943), head of pure mathematics at the Open University, UK
Robin Wilson (field hockey) (born 1957), New Zealand field hockey player
Robin Wilson (musician) (bor... |
https://en.wikipedia.org/wiki/Enumerated%20type | In computer programming, an enumerated type (also called enumeration, enum, or factor in the R programming language, and a categorical variable in statistics) is a data type consisting of a set of named values called elements, members, enumeral, or enumerators of the type. The enumerator names are usually identifiers ... |
https://en.wikipedia.org/wiki/Neglect%20of%20probability | The neglect of probability, a type of cognitive bias, is the tendency to disregard probability when making a decision under uncertainty and is one simple way in which people regularly violate the normative rules for decision making. Small risks are typically either neglected entirely or hugely overrated. The continuum ... |
https://en.wikipedia.org/wiki/Frege%27s%20theorem | In metalogic and metamathematics, Frege's theorem is a metatheorem that states that the Peano axioms of arithmetic can be derived in second-order logic from Hume's principle. It was first proven, informally, by Gottlob Frege in his 1884 Die Grundlagen der Arithmetik (The Foundations of Arithmetic) and proven more forma... |
https://en.wikipedia.org/wiki/Australian%20Bureau%20of%20Statistics | The Australian Bureau of Statistics (ABS) is a government agency that collects and analyzes statistics on economic, population, environmental, and social issues. It provides evidence-based advice to federal, state, and territory governments. The ABS conducts the national Census of Population and Housing every five year... |
https://en.wikipedia.org/wiki/Cwmynyscoy | Cwmynyscoy is a suburb of Pontypool in Torfaen, South Wales.
Statistics
All figures quoted have been derived from the 2001 Census unless otherwise stated.
Demographic Indicators
Total population of 1283 (Torfaen 90,949)
48.6% Male, 51.4% Female (Torfaen - 48.4% Male, 51.6% Female)
Age Structure; 19.5% aged between ... |
https://en.wikipedia.org/wiki/Sasakian%20manifold | In differential geometry, a Sasakian manifold (named after Shigeo Sasaki) is a contact manifold equipped with a special kind of Riemannian metric , called a Sasakian metric.
Definition
A Sasakian metric is defined using the construction of the Riemannian cone. Given a Riemannian manifold , its Riemannian cone is the ... |
https://en.wikipedia.org/wiki/Puppe%20sequence | In mathematics, the Puppe sequence is a construction of homotopy theory, so named after Dieter Puppe. It comes in two forms: a long exact sequence, built from the mapping fibre (a fibration), and a long coexact sequence, built from the mapping cone (which is a cofibration). Intuitively, the Puppe sequence allows us to ... |
https://en.wikipedia.org/wiki/Symplectic%20cut | In mathematics, specifically in symplectic geometry, the symplectic cut is a geometric modification on symplectic manifolds. Its effect is to decompose a given manifold into two pieces. There is an inverse operation, the symplectic sum, that glues two manifolds together into one. The symplectic cut can also be viewed a... |
https://en.wikipedia.org/wiki/NAR%201 | NAR 1 or just NAR (Serbian Nastavni Računar, en. Educational Computer) was a theoretical model of a computer created by Faculty of Mathematics of University of Belgrade professor Nedeljko Parezanović (In Serbian:Недељко Парезановић). It was used for Assembly language and Computer architecture courses.
Specifications
... |
https://en.wikipedia.org/wiki/NAR%202 | NAR 2 (Serbian Nastavni Računar 2, en. Educational Computer 2) is a theoretical model of a 32-bit word computer created by Faculty of Mathematics of University of Belgrade professor Nedeljko Parezanović as an enhancement to its predecessor, NAR 1. It was used for Assembly language and Computer architecture courses. Th... |
https://en.wikipedia.org/wiki/189%20%28number%29 | 189 (one hundred [and] eighty-nine) is the natural number following 188 and preceding 190.
In mathematics
189 is a centered cube number and a heptagonal number.
The centered cube numbers are the sums of two consecutive cubes, and 189 can be written as sum of two cubes in two ways: and The smallest number that can be... |
https://en.wikipedia.org/wiki/Hyperplane%20separation%20theorem | In geometry, the hyperplane separation theorem is a theorem about disjoint convex sets in n-dimensional Euclidean space. There are several rather similar versions. In one version of the theorem, if both these sets are closed and at least one of them is compact, then there is a hyperplane in between them and even two pa... |
https://en.wikipedia.org/wiki/Thomas%20M.%20Cover | Thomas M. Cover [ˈkoʊvər] (August 7, 1938 – March 26, 2012) was an American information theorist and professor jointly in the Departments of Electrical Engineering and Statistics at Stanford University. He devoted almost his entire career to developing the relationship between information theory and statistics.
Early ... |
https://en.wikipedia.org/wiki/Ambiguity%20effect | The ambiguity effect is a cognitive bias where decision making is affected by a lack of information, or "ambiguity". The effect implies that people tend to select options for which the probability of a favorable outcome is known, over an option for which the probability of a favorable outcome is unknown. The effect was... |
https://en.wikipedia.org/wiki/E0 | E0 or E00 can refer to :
ε0, in mathematics, the smallest member of the epsilon numbers, a type of ordinal number
ε0, in physics, vacuum permittivity, the absolute dielectric permittivity of classical vacuum
E0 (cipher), a cipher used in the Bluetooth protocol
E0 (robot), a 1986 humanoid robot by Honda
Eo, in elec... |
https://en.wikipedia.org/wiki/Bol%20loop | In mathematics and abstract algebra, a Bol loop is an algebraic structure generalizing the notion of group. Bol loops are named for the Dutch mathematician Gerrit Bol who introduced them in .
A loop, L, is said to be a left Bol loop if it satisfies the identity
, for every a,b,c in L,
while L is said to be a right... |
https://en.wikipedia.org/wiki/Institute%20of%20Statistical%20Mathematics | The Institute of Statistical Mathematics is Japan's national research institute for statistical science. In October 2009, it relocated from the Azabu district of Tokyo to Tachikawa. Founded in 1944, since 2004 it has been part of the Research Organization of Information and Systems ().
The Institute is represented on ... |
https://en.wikipedia.org/wiki/Occupational%20Outlook%20Handbook | The Occupational Outlook Handbook (OOH) is a publication of the United States Department of Labor's Bureau of Labor Statistics that includes information about the nature of work, working conditions, training and education, earnings and job outlook for hundreds of different occupations in the United States. It is relea... |
https://en.wikipedia.org/wiki/Yuri%20Linnik | Yuri Vladimirovich Linnik (; January 8, 1915 – June 30, 1972) was a Soviet mathematician active in number theory, probability theory and mathematical statistics.
Biography
Linnik was born in Bila Tserkva, in present-day Ukraine. He went to Saint Petersburg University where his supervisor was Vladimir Tartakovsky, and... |
https://en.wikipedia.org/wiki/%C3%85ke%20Pleijel | Åke Vilhelm Carl Pleijel (10 August 1913 – 24 September 1989) was a Swedish mathematician.
He completed his Ph.D. in mathematics at Stockholm University in 1940 (with Torsten Carleman as supervisor), and later became Professor of Mathematics at Uppsala University.
Åke Vilhelm Carl Pleijel published the paper in whic... |
https://en.wikipedia.org/wiki/Topological%20half-exact%20functor | In mathematics, a topological half-exact functor F is a functor from a fixed topological category (for example CW complexes or pointed spaces) to an abelian category (most frequently in applications, category of abelian groups or category of modules over a fixed ring) that has a following property: for each sequence of... |
https://en.wikipedia.org/wiki/Lies%2C%20Damn%20Lies%20and%20Statistics | Lies, Damn Lies and Statistics may refer to:
"Lies, Damn Lies and Statistics" (The West Wing), a first-season episode of the TV series The West Wing
Lies, damned lies, and statistics, a phrase describing the persuasive power of numbers |
https://en.wikipedia.org/wiki/Elation | Elation is an emotion of happiness.
Elation may also refer to:
Carnival Elation, cruise ship
A type of collineation in perspective geometry where the center lies on the axis
Elation (album), a 2012 studio album by the band Great White
Groove Elation, a 1995 album by jazz musician John Scofield
See also
Euphoria ... |
https://en.wikipedia.org/wiki/Michel%20Raynaud | Michel Raynaud (; 16 June 1938 – 10 March 2018) was a French mathematician working in algebraic geometry and a professor at Paris-Sud 11 University.
Early life and education
He was born in Riom, France as a single son to a modest household. His father was a carpenter and his mother cleaned houses. He attended the loc... |
https://en.wikipedia.org/wiki/Weight%20%28disambiguation%29 | Weight is a measurement of the gravitational force acting on an object.
Weight or The Weight may also refer to:
Mathematics
Weight (graph theory) a number associated to an edge or to a vertex of a graph
Weight (representation theory), a type of function
Weight (strings), the number of times a letter occurs in a s... |
https://en.wikipedia.org/wiki/Pakistan%20Bureau%20of%20Statistics | The Pakistan Bureau of Statistics (, abbreviated as PBS) is a federal agency under the Government of Pakistan. It is an attached department of the Ministry of Planning, Development & Special Initiatives. It works for collecting statistics in the country.
History
In 1947, the Central Statistical Office (CSO) was set u... |
https://en.wikipedia.org/wiki/Response%20amplitude%20operator | In the field of ship design and design of other floating structures, a response amplitude operator (RAO) is an engineering statistic, or set of such statistics, that are used to determine the likely behavior of a ship when operating at sea. Known by the acronym of RAO, response amplitude operators are usually obtained ... |
https://en.wikipedia.org/wiki/Purely%20inseparable%20extension | In algebra, a purely inseparable extension of fields is an extension k ⊆ K of fields of characteristic p > 0 such that every element of K is a root of an equation of the form xq = a, with q a power of p and a in k. Purely inseparable extensions are sometimes called radicial extensions, which should not be confused with... |
https://en.wikipedia.org/wiki/Hyperboloid%20model | In geometry, the hyperboloid model, also known as the Minkowski model after Hermann Minkowski, is a model of n-dimensional hyperbolic geometry in which points are represented by points on the forward sheet S+ of a two-sheeted hyperboloid in (n+1)-dimensional Minkowski space or by the displacement vectors from the origi... |
https://en.wikipedia.org/wiki/Mathematical%20sociology | Mathematical sociology or the sociology of mathematics is an interdisciplinary field of research concerned both with the use of mathematics within sociological research as well as research into the relationships that exist between maths and society.
Because of this, mathematical sociology can have a diverse meaning de... |
https://en.wikipedia.org/wiki/Thiophosgene | Thiophosgene is a red liquid with the formula . It is a molecule with trigonal planar geometry. There are two reactive C–Cl bonds that allow it to be used in diverse organic syntheses.
Preparation
is prepared in a two-step process from carbon disulfide. In the first step, carbon disulfide is chlorinated to give trich... |
https://en.wikipedia.org/wiki/Clifford%20theory | In mathematics, Clifford theory, introduced by , describes the relation between representations of a group and those of a normal subgroup.
Alfred H. Clifford
Alfred H. Clifford proved the following result on the restriction of finite-dimensional irreducible representations from a group G to a normal subgroup N of fin... |
https://en.wikipedia.org/wiki/Elementary%20number | An elementary number is one formalization of the concept of a closed-form number. The elementary numbers form an algebraically closed field containing the roots of arbitrary expressions using field operations, exponentiation, and logarithms. The set of the elementary numbers is subdivided into the explicit elementary ... |
https://en.wikipedia.org/wiki/Hyperbolic%20trigonometry | In mathematics, hyperbolic trigonometry can mean:
The study of hyperbolic triangles in hyperbolic geometry (traditional trigonometry is the study of triangles in plane geometry)
The use of the hyperbolic functions
The use of gyrotrigonometry in hyperbolic geometry |
https://en.wikipedia.org/wiki/Generalized%20Wiener%20process | In statistics, a generalized Wiener process (named after Norbert Wiener) is a continuous time random walk with drift and random jumps at every point in time. Formally:
where a and b are deterministic functions, t is a continuous index for time, x is a set of exogenous variables that may change with time, dt is a diffe... |
https://en.wikipedia.org/wiki/White%20test | In statistics, the White test is a statistical test that establishes whether the variance of the errors in a regression model is constant: that is for homoskedasticity.
This test, and an estimator for heteroscedasticity-consistent standard errors, were proposed by Halbert White in 1980. These methods have become wide... |
https://en.wikipedia.org/wiki/Alfred%20Burne | Alfred Higgins Burne DSO (1886–1959) was a soldier and military historian. He invented the concept of Inherent Military Probability; in battles and campaigns where there is some doubt over what action was taken, Burne believed that the action taken would be one which a trained staff officer of the twentieth century wou... |
https://en.wikipedia.org/wiki/Steven%20Strogatz | Steven Henry Strogatz (), born August 13, 1959, is an American mathematician and the Susan and Barton Winokur Distinguished Professor for the Public Understanding of Science and Mathematics at Cornell University.
He is known for his work on nonlinear systems, including contributions to the study of synchronization in ... |
https://en.wikipedia.org/wiki/Representation%20theorem | In mathematics, a representation theorem is a theorem that states that every abstract structure with certain properties is isomorphic to another (abstract or concrete) structure.
Examples
Algebra
Cayley's theorem states that every group is isomorphic to a permutation group.
Representation theory studies propertie... |
https://en.wikipedia.org/wiki/Werner%20Fenchel | Moritz Werner Fenchel (; 3 May 1905 – 24 January 1988) was a mathematician known for his contributions to geometry and to optimization theory. Fenchel established the basic results of convex analysis and nonlinear optimization theory which would, in time, serve as the foundation for nonlinear programming. A German-bo... |
https://en.wikipedia.org/wiki/Vladimir%20Smirnov%20%28mathematician%29 | Vladimir Ivanovich Smirnov () (10 June 1887 – 11 February 1974) was a mathematician who made significant contributions in both pure and applied mathematics, and also in the history of mathematics.
Smirnov worked on diverse areas of mathematics, such as complex functions and conjugate functions in Euclidean spaces. In ... |
https://en.wikipedia.org/wiki/2-sided | In mathematics, specifically in topology of manifolds, a compact codimension-one submanifold of a manifold is said to be 2-sided in when there is an embedding
with for each and
.
In other words, if its normal bundle is trivial.
This means, for example that a curve in a surface is 2-sided if it has a tubular n... |
https://en.wikipedia.org/wiki/Lattice%20reduction | In mathematics, the goal of lattice basis reduction is to find a basis with short, nearly orthogonal vectors when given an integer lattice basis as input. This is realized using different algorithms, whose running time is usually at least exponential in the dimension of the lattice.
Nearly orthogonal
One measure of n... |
https://en.wikipedia.org/wiki/Pointwise | In mathematics, the qualifier pointwise is used to indicate that a certain property is defined by considering each value of some function An important class of pointwise concepts are the pointwise operations, that is, operations defined on functions by applying the operations to function values separately for each po... |
https://en.wikipedia.org/wiki/Numena%20%2B%20Geometry | Numena + Geometry (1997) is an album by the American ambient musician Robert Rich. It is a two-disc set containing Rich’s albums Numena (1987) and Geometry (1991).
Track listing
Disc one: Numena
”The Other Side of Twilight” – 25:04
”Moss Dance” – 5:45
”Numen” – 11:51
”The Walled Garden” – 10:32
Disc two: Geometry
”P... |
https://en.wikipedia.org/wiki/Legendre%27s%20equation | In mathematics, Legendre's equation is the Diophantine equation
The equation is named for Adrien-Marie Legendre who proved in 1785 that it is solvable in integers x, y, z, not all zero, if and only if
−bc, −ca and −ab are quadratic residues modulo a, b and c, respectively, where a, b, c are nonzero, square-free, pairw... |
https://en.wikipedia.org/wiki/Meager | Meager or Meagre may refer to:
Meagre set (also meager set) in mathematics
Mount Meager (British Columbia) in British Columbia, Canada
Mount Meager massif in British Columbia, Canada
Meager Creek, a creek in British Columbia, Canada
Meagre, Argyrosomus regius, a fish |
https://en.wikipedia.org/wiki/Non-abelian%20group | In mathematics, and specifically in group theory, a non-abelian group, sometimes called a non-commutative group, is a group (G, ∗) in which there exists at least one pair of elements a and b of G, such that a ∗ b ≠ b ∗ a. This class of groups contrasts with the abelian groups, where all pairs of group elements commute.... |
https://en.wikipedia.org/wiki/Positive%20map | The term positive map may refer to:
Positive-definite functions in classical analysis
Choi's theorem on completely positive maps between C*-algebras (pronounced "C-star algebra") |
https://en.wikipedia.org/wiki/W-algebra | In conformal field theory and representation theory, a W-algebra is an associative algebra that generalizes the Virasoro algebra. W-algebras were introduced by Alexander Zamolodchikov, and the name "W-algebra" comes from the fact that Zamolodchikov used the letter W for one of the elements of one of his examples.
Defi... |
https://en.wikipedia.org/wiki/Supermathematics | Supermathematics is the branch of mathematical physics which applies the mathematics of Lie superalgebras to the behaviour of bosons and fermions. The driving force in its formation in the 1960s and 1970s was Felix Berezin.
Objects of study include superalgebras (such as super Minkowski space and super-Poincaré algebr... |
https://en.wikipedia.org/wiki/Tau%20%28disambiguation%29 | Tau (Τ or τ) is the 19th letter of the Greek alphabet.
Tau may also refer to:
Mathematics
Tau (mathematical constant), a circle constant equal to (6.28318...)
Tau test in statistics (tau-a, tau-b and tau-c tests or Kendall tau rank correlation coefficient)
Tau function (disambiguation), several
Geography
Tau, No... |
https://en.wikipedia.org/wiki/Beltrami%E2%80%93Klein%20model | In geometry, the Beltrami–Klein model, also called the projective model, Klein disk model, and the Cayley–Klein model, is a model of hyperbolic geometry in which points are represented by the points in the interior of the unit disk (or n-dimensional unit ball) and lines are represented by the chords, straight line segm... |
https://en.wikipedia.org/wiki/Metric%20connection | In mathematics, a metric connection is a connection in a vector bundle E equipped with a bundle metric; that is, a metric for which the inner product of any two vectors will remain the same when those vectors are parallel transported along any curve. This is equivalent to:
A connection for which the covariant derivat... |
https://en.wikipedia.org/wiki/Holomorphic%20vector%20bundle | In mathematics, a holomorphic vector bundle is a complex vector bundle over a complex manifold such that the total space is a complex manifold and the projection map is holomorphic. Fundamental examples are the holomorphic tangent bundle of a complex manifold, and its dual, the holomorphic cotangent bundle. A holomo... |
https://en.wikipedia.org/wiki/Canonical%20connection | In geometry (more specifically differential geometry), a canonical connection can mean either
A canonical connection on a symmetric space that is canonically defined (as described in Ch XI of Kobayashi and Nomizu, Foundations of Differential Geometry Vol II.).
A Chern connection, a connection of a holomorphic vector bu... |
https://en.wikipedia.org/wiki/Balian%E2%80%93Low%20theorem | In mathematics, the Balian–Low theorem in Fourier analysis is named for Roger Balian and Francis E. Low.
The theorem states that there is no well-localized window function (or Gabor atom) g either in time or frequency for an exact Gabor frame (Riesz Basis).
Statement
Suppose g is a square-integrable function on the re... |
https://en.wikipedia.org/wiki/Riesz%20sequence | In mathematics, a sequence of vectors (xn) in a Hilbert space is called a Riesz sequence if there exist constants such that
for all sequences of scalars (an) in the ℓp space ℓ2. A Riesz sequence is called a Riesz basis if
.
Alternatively, one can define the Riesz basis as a family of the form , where is an orth... |
https://en.wikipedia.org/wiki/Megarock%20Records | Megarock Records was a Swedish record label which focused on heavy metal music. It was located in Stockholm.
Bands
Abstrakt Algebra
Ace's High
Alien
Backyard Babies
Bad Habit
Candlemass
Criss
Crossroad Jam
It's Alive
Jester
Landberk
Machine Gun Kelly
Megaton
Misha Calvin
Nocturnal Rites
Passion Street
... |
https://en.wikipedia.org/wiki/Bicomplex%20number | In abstract algebra, a bicomplex number is a pair of complex numbers constructed by the Cayley–Dickson process that defines the bicomplex conjugate , and the product of two bicomplex numbers as
Then the bicomplex norm is given by
a quadratic form in the first component.
The bicomplex numbers form a commutative alg... |
https://en.wikipedia.org/wiki/Arithmetica%20Universalis | Arithmetica Universalis ("Universal Arithmetic") is a mathematics text by Isaac Newton. Written in Latin, it was edited and published by William Whiston, Newton's successor as Lucasian Professor of Mathematics at the University of Cambridge. The Arithmetica was based on Newton's lecture notes.
Whiston's original editi... |
https://en.wikipedia.org/wiki/Simcoe%20Composite%20School | Simcoe Composite School is a high school in Simcoe, Ontario, Canada.
More than 800 students attend this rural secondary school and courses range from English, French, Art, Music, and Mathematics to Computer Sciences, Business, Athletics, Cosmetology, Tech, World History, Civics, and Drama class. Megan Timpf, a repres... |
https://en.wikipedia.org/wiki/Rand%20index | The Rand index or Rand measure (named after William M. Rand) in statistics, and in particular in data clustering, is a measure of the similarity between two data clusterings. A form of the Rand index may be defined that is adjusted for the chance grouping of elements, this is the adjusted Rand index. The Rand index is ... |
https://en.wikipedia.org/wiki/Alternating%20permutation | In combinatorial mathematics, an alternating permutation (or zigzag permutation) of the set {1, 2, 3, ..., n} is a permutation (arrangement) of those numbers so that each entry is alternately greater or less than the preceding entry. For example, the five alternating permutations of {1, 2, 3, 4} are:
1, 3, 2, 4 ... |
https://en.wikipedia.org/wiki/Eduard%20Heis | Eduard Heis (18 February 1806, Cologne – 30 June 1877 in Münster) was a German mathematician and astronomer.
He completed his education at the University of Bonn in 1827, then taught mathematics at a school in Cologne. In 1832 he taught at Aachen, and remained there until 1852. He was then appointed by King Frederick ... |
https://en.wikipedia.org/wiki/Primary%20cyclic%20group | In mathematics, a primary cyclic group is a group that is both a cyclic group and a p-primary group for some prime number p.
That is, it is a cyclic group of order p, C, for some prime number p, and natural number m.
Every finite abelian group G may be written as a finite direct sum of primary cyclic groups, as stated... |
https://en.wikipedia.org/wiki/Records%20and%20statistics%20of%20the%20Rugby%20World%20Cup | Rugby World Cup records have been accumulating since the first Rugby World Cup tournament was held in 1987.
Team records
Titles
Title win rate
Most finals
Most semi-finals
Most quarter-finals
Most appearances
10 teams appeared in every World Cup:
/Western Samoa also qualified for every World Cup but was not in... |
https://en.wikipedia.org/wiki/Grassmann%E2%80%93Cayley%20algebra | In mathematics, a Grassmann–Cayley algebra is the exterior algebra with an additional product, which may be called the shuffle product or the regressive product.
It is the most general structure in which projective properties are expressed in a coordinate-free way.
The technique is based on work by German mathematicia... |
https://en.wikipedia.org/wiki/Metatheory | A metatheory or meta-theory is a theory the subject matter of which is theory itself, for example as an analysis or description of existing theory. For mathematics and mathematical logic, a metatheory is a mathematical theory about another mathematical theory. Meta-theoretical investigations are part of the philosophy ... |
https://en.wikipedia.org/wiki/Lacunary%20value | In complex analysis, a subfield of mathematics, a lacunary value or gap of a complex-valued function defined on a subset of the complex plane is a complex number which is not in the image of the function.
More specifically, given a subset X of the complex plane C and a function f : X → C, a complex number z is called ... |
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