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https://en.wikipedia.org/wiki/Kali%20S.%20Banerjee | Kali S. Banerjee (September 17, 1914 – April 9, 2002) was a math and statistics expert, and a professor of statistics at the University of Delaware.
He was born in Dhaka, (now in Bangladesh) in 1914. He earned his bachelor's degree in mathematics and his master's and doctoral degrees in statistics from the University... |
https://en.wikipedia.org/wiki/Mumford%20conjecture | There are several conjectures in mathematics by David Mumford.
Mumford's conjecture about reductive groups, now called Haboush's theorem.
The Mumford conjecture on the cohomology of the stable mapping class group, proved by Ib Madsen and Michael Weiss.
The Manin-Mumford conjecture about Jacobians of curves, proved b... |
https://en.wikipedia.org/wiki/Green%20formula | In mathematics, Green formula may refer to:
Green's theorem in integral calculus
Green's identities in vector calculus
Green's function in differential equations
the Green formula for the Green measure in stochastic analysis |
https://en.wikipedia.org/wiki/Top-coded | In econometrics and statistics, a top-coded data observation is one for which data points whose values are above an upper bound are censored.
Survey data are often topcoded before release to the public to preserve the anonymity of respondents. For example, if a survey answer reported a respondent with self-identified ... |
https://en.wikipedia.org/wiki/Notation%20for%20differentiation | In differential calculus, there is no single uniform notation for differentiation. Instead, various notations for the derivative of a function or variable have been proposed by various mathematicians. The usefulness of each notation varies with the context, and it is sometimes advantageous to use more than one notation... |
https://en.wikipedia.org/wiki/Positive-definite%20kernel | In operator theory, a branch of mathematics, a positive-definite kernel is a generalization of a positive-definite function or a positive-definite matrix. It was first introduced by James Mercer in the early 20th century, in the context of solving integral operator equations. Since then, positive-definite functions and... |
https://en.wikipedia.org/wiki/Projective%20cover | In the branch of abstract mathematics called category theory, a projective cover of an object X is in a sense the best approximation of X by a projective object P. Projective covers are the dual of injective envelopes.
Definition
Let be a category and X an object in . A projective cover is a pair (P,p), with P a ... |
https://en.wikipedia.org/wiki/Topological%20modular%20forms | In mathematics, topological modular forms (tmf) is the name of a spectrum that describes a generalized cohomology theory. In concrete terms, for any integer n there is a topological space , and these spaces are equipped with certain maps between them, so that for any topological space X, one obtains an abelian group st... |
https://en.wikipedia.org/wiki/6-demicube | In geometry, a 6-demicube or demihexeract is a uniform 6-polytope, constructed from a 6-cube (hexeract) with alternated vertices removed. It is part of a dimensionally infinite family of uniform polytopes called demihypercubes.
E. L. Elte identified it in 1912 as a semiregular polytope, labeling it as HM6 for a 6-dime... |
https://en.wikipedia.org/wiki/7-cube | In geometry, a 7-cube is a seven-dimensional hypercube with 128 vertices, 448 edges, 672 square faces, 560 cubic cells, 280 tesseract 4-faces, 84 penteract 5-faces, and 14 hexeract 6-faces.
It can be named by its Schläfli symbol {4,35}, being composed of 3 6-cubes around each 5-face. It can be called a hepteract, a... |
https://en.wikipedia.org/wiki/7-demicube | In geometry, a demihepteract or 7-demicube is a uniform 7-polytope, constructed from the 7-hypercube (hepteract) with alternated vertices removed. It is part of a dimensionally infinite family of uniform polytopes called demihypercubes.
E. L. Elte identified it in 1912 as a semiregular polytope, labeling it as HM7 for... |
https://en.wikipedia.org/wiki/8-demicube | In geometry, a demiocteract or 8-demicube is a uniform 8-polytope, constructed from the 8-hypercube, octeract, with alternated vertices removed. It is part of a dimensionally infinite family of uniform polytopes called demihypercubes.
E. L. Elte identified it in 1912 as a semiregular polytope, labeling it as HM8 for a... |
https://en.wikipedia.org/wiki/9-demicube | In geometry, a demienneract or 9-demicube is a uniform 9-polytope, constructed from the 9-cube, with alternated vertices removed. It is part of a dimensionally infinite family of uniform polytopes called demihypercubes.
E. L. Elte identified it in 1912 as a semiregular polytope, labeling it as HM9 for a 9-dimensional ... |
https://en.wikipedia.org/wiki/8-cube | In geometry, an 8-cube is an eight-dimensional hypercube. It has 256 vertices, 1024 edges, 1792 square faces, 1792 cubic cells, 1120 tesseract 4-faces, 448 5-cube 5-faces, 112 6-cube 6-faces, and 16 7-cube 7-faces.
It is represented by Schläfli symbol {4,36}, being composed of 3 7-cubes around each 6-face. It is calle... |
https://en.wikipedia.org/wiki/9-cube | In geometry, a 9-cube is a nine-dimensional hypercube with 512 vertices, 2304 edges, 4608 square faces, 5376 cubic cells, 4032 tesseract 4-faces, 2016 5-cube 5-faces, 672 6-cube 6-faces, 144 7-cube 7-faces, and 18 8-cube 8-faces.
It can be named by its Schläfli symbol {4,37}, being composed of three 8-cubes around ea... |
https://en.wikipedia.org/wiki/7-orthoplex | In geometry, a 7-orthoplex, or 7-cross polytope, is a regular 7-polytope with 14 vertices, 84 edges, 280 triangle faces, 560 tetrahedron cells, 672 5-cells 4-faces, 448 5-faces, and 128 6-faces.
It has two constructed forms, the first being regular with Schläfli symbol {35,4}, and the second with alternately labeled... |
https://en.wikipedia.org/wiki/6-simplex | In geometry, a 6-simplex is a self-dual regular 6-polytope. It has 7 vertices, 21 edges, 35 triangle faces, 35 tetrahedral cells, 21 5-cell 4-faces, and 7 5-simplex 5-faces. Its dihedral angle is cos−1(1/6), or approximately 80.41°.
Alternate names
It can also be called a heptapeton, or hepta-6-tope, as a 7-facette... |
https://en.wikipedia.org/wiki/7-simplex | In 7-dimensional geometry, a 7-simplex is a self-dual regular 7-polytope. It has 8 vertices, 28 edges, 56 triangle faces, 70 tetrahedral cells, 56 5-cell 5-faces, 28 5-simplex 6-faces, and 8 6-simplex 7-faces. Its dihedral angle is cos−1(1/7), or approximately 81.79°.
Alternate names
It can also be called an octaexon... |
https://en.wikipedia.org/wiki/8-orthoplex | In geometry, an 8-orthoplex or 8-cross polytope is a regular 8-polytope with 16 vertices, 112 edges, 448 triangle faces, 1120 tetrahedron cells, 1792 5-cells 4-faces, 1792 5-faces, 1024 6-faces, and 256 7-faces.
It has two constructive forms, the first being regular with Schläfli symbol {36,4}, and the second with al... |
https://en.wikipedia.org/wiki/Octonion%20algebra | In mathematics, an octonion algebra or Cayley algebra over a field F is a composition algebra over F that has dimension 8 over F. In other words, it is a 8-dimensional unital non-associative algebra A over F with a non-degenerate quadratic form N (called the norm form) such that
for all x and y in A.
The most well-kn... |
https://en.wikipedia.org/wiki/Isothermal%20coordinates | In mathematics, specifically in differential geometry, isothermal coordinates on a Riemannian manifold are local coordinates where the metric is conformal to the Euclidean metric. This means that in isothermal coordinates, the Riemannian metric locally has the form
where is a positive smooth function. (If the Rieman... |
https://en.wikipedia.org/wiki/Lie%20bracket%20of%20vector%20fields | In the mathematical field of differential topology, the Lie bracket of vector fields, also known as the Jacobi–Lie bracket or the commutator of vector fields, is an operator that assigns to any two vector fields X and Y on a smooth manifold M a third vector field denoted .
Conceptually, the Lie bracket is the derivat... |
https://en.wikipedia.org/wiki/Dirac%20algebra | In mathematical physics, the Dirac algebra is the Clifford algebra . This was introduced by the mathematical physicist P. A. M. Dirac in 1928 in developing the Dirac equation for spin- particles with a matrix representation of the gamma matrices, which represent the generators of the algebra.
The gamma matrices are a ... |
https://en.wikipedia.org/wiki/Elliptic%20cohomology | In mathematics, elliptic cohomology is a cohomology theory in the sense of algebraic topology. It is related to elliptic curves and modular forms.
History and motivation
Historically, elliptic cohomology arose from the study of elliptic genera. It was known by Atiyah and Hirzebruch that if acts smoothly and non-trivi... |
https://en.wikipedia.org/wiki/Hodge%20structure | In mathematics, a Hodge structure, named after W. V. D. Hodge, is an algebraic structure at the level of linear algebra, similar to the one that Hodge theory gives to the cohomology groups of a smooth and compact Kähler manifold. Hodge structures have been generalized for all complex varieties (even if they are singula... |
https://en.wikipedia.org/wiki/Reduced%20residue%20system | In mathematics, a subset R of the integers is called a reduced residue system modulo n if:
gcd(r, n) = 1 for each r in R,
R contains φ(n) elements,
no two elements of R are congruent modulo n.
Here φ denotes Euler's totient function.
A reduced residue system modulo n can be formed from a complete residue system modu... |
https://en.wikipedia.org/wiki/List%20of%20York%20City%20F.C.%20records%20and%20statistics | York City Football Club is a professional association football club based in York, North Yorkshire, England. The club was founded in 1922 and was elected to the Midland League, which the team played in until 1929 when they were elected to the Football League. The highest level of the English football league system the ... |
https://en.wikipedia.org/wiki/Well%20intervention | A well intervention, or well work, is any operation carried out on an oil or gas well during, or at the end of, its productive life that alters the state of the well or well geometry, provides well diagnostics, or manages the production of the well.
Types of well intervention
Pumping
Pumping is the simplest form of... |
https://en.wikipedia.org/wiki/Gordon%20Royle | Gordon F. Royle is a professor at the School of Mathematics and Statistics at The University of Western Australia.
Royle is the co-author (with Chris Godsil) of the book Algebraic Graph Theory (Springer Verlag, 2001, ).
Royle is also known for his research into the mathematics of Sudoku and his search for the Sudoku ... |
https://en.wikipedia.org/wiki/Replication%20%28statistics%29 | In engineering, science, and statistics, replication is the repetition of an experimental condition so that the variability associated with the phenomenon can be estimated. ASTM, in standard E1847, defines replication as "... the repetition of the set of all the treatment combinations to be compared in an experiment. E... |
https://en.wikipedia.org/wiki/Differentiation%20rules | This is a summary of differentiation rules, that is, rules for computing the derivative of a function in calculus.
Elementary rules of differentiation
Unless otherwise stated, all functions are functions of real numbers (R) that return real values; although more generally, the formulae below apply wherever they are ... |
https://en.wikipedia.org/wiki/De%20Bruijn%20index | In mathematical logic, the De Bruijn index is a tool invented by the Dutch mathematician Nicolaas Govert de Bruijn for representing terms of lambda calculus without naming the bound variables. Terms written using these indices are invariant with respect to α-conversion, so the check for α-equivalence is the same as tha... |
https://en.wikipedia.org/wiki/Katrin%20Wehrheim | Katrin Wehrheim (born 1974) is an associate professor of mathematics at the University of California, Berkeley. Wehrheim's research centers around symplectic topology and gauge theory, and they are known for work on pseudoholomorphic quilts. With Dusa McDuff, they have challenged the foundational rigor of a classic pro... |
https://en.wikipedia.org/wiki/De%20Bruijn%20notation | In mathematical logic, the De Bruijn notation is a syntax for terms in the λ calculus invented by the Dutch mathematician Nicolaas Govert de Bruijn. It can be seen as a reversal of the usual syntax for the λ calculus where the argument in an application is placed next to its corresponding binder in the function instead... |
https://en.wikipedia.org/wiki/Beyer%20Professor%20of%20Applied%20Mathematics | The Beyer Chair of Applied Mathematics is an endowed professorial position in the Department of Mathematics, University of Manchester, England. The endowment came from the will of the celebrated locomotive designer and founder of locomotive builder Beyer, Peacock & Company, Charles Frederick Beyer. He was the universit... |
https://en.wikipedia.org/wiki/David%20Abrahams%20%28mathematician%29 | Ian David Abrahams (born 15 January 1958) is an English mathematician and held the Beyer Professor of Applied Mathematics at the University of Manchester, 2008–2016. From 2014 to 2016 he was Director of the International Centre for Mathematical Sciences in Edinburgh and in October 2016 he succeeded John Toland as Dire... |
https://en.wikipedia.org/wiki/Institute%20for%20Mathematics%20and%20its%20Applications | The Institute for Mathematics and its Applications located at the University of Minnesota is an organization established in 1982 by the National Science Foundation (NSF) of the United States.
Objectives
The primary mission of the IMA is to increase the impact of mathematics by fostering interdisciplinary research and ... |
https://en.wikipedia.org/wiki/Hyperhomology | In homological algebra, the hyperhomology or hypercohomology () is a generalization of (co)homology functors which takes as input not objects in an abelian category but instead chain complexes of objects, so objects in . It is a sort of cross between the derived functor cohomology of an object and the homology of a ch... |
https://en.wikipedia.org/wiki/Geometric%20median | In geometry, the geometric median of a discrete set of sample points in a Euclidean space is the point minimizing the sum of distances to the sample points. This generalizes the median, which has the property of minimizing the sum of distances for one-dimensional data, and provides a central tendency in higher dimensio... |
https://en.wikipedia.org/wiki/Fermat%E2%80%93Weber%20problem | In mathematics, statistics, and operations research, the Fermat–Weber problem is either of two closely related problems:
Geometric median, the problem of finding a point minimizing the sum of distances from given points
Weber problem, the problem of finding a point minimizing the sum of weighted distances from given (p... |
https://en.wikipedia.org/wiki/Negafibonacci%20coding | In mathematics, negafibonacci coding is a universal code which encodes nonzero integers into binary code words. It is similar to Fibonacci coding, except that it allows both positive and negative integers to be represented. All codes end with "11" and have no "11" before the end.
Encoding method
To encode a nonzero ... |
https://en.wikipedia.org/wiki/Shapiro%20polynomials | In mathematics, the Shapiro polynomials are a sequence of polynomials which were first studied by Harold S. Shapiro in 1951 when considering the magnitude of specific trigonometric sums. In signal processing, the Shapiro polynomials have good autocorrelation properties and their values on the unit circle are small. Th... |
https://en.wikipedia.org/wiki/Realization%20%28probability%29 | In probability and statistics, a realization, observation, or observed value, of a random variable is the value that is actually observed (what actually happened). The random variable itself is the process dictating how the observation comes about. Statistical quantities computed from realizations without deploying a s... |
https://en.wikipedia.org/wiki/Macdonald%20polynomials | In mathematics, Macdonald polynomials Pλ(x; t,q) are a family of orthogonal symmetric polynomials in several variables, introduced by Macdonald in 1987. He later introduced a non-symmetric generalization in 1995. Macdonald originally associated his polynomials with weights λ of finite root systems and used just one va... |
https://en.wikipedia.org/wiki/Acyclic%20space | In mathematics, an acyclic space is a nonempty topological space X in which cycles are always boundaries, in the sense of homology theory. This implies that integral homology groups in all dimensions of X are isomorphic to the corresponding homology groups of a point.
In other words, using the idea of reduced homology... |
https://en.wikipedia.org/wiki/Affine%20Hecke%20algebra | In mathematics, an affine Hecke algebra is the algebra associated to an affine Weyl group, and can be used to prove Macdonald's constant term conjecture for Macdonald polynomials.
Definition
Let be a Euclidean space of a finite dimension and an affine root system on . An affine Hecke algebra is a certain associativ... |
https://en.wikipedia.org/wiki/Free%20lattice | In mathematics, in the area of order theory, a free lattice is the free object corresponding to a lattice. As free objects, they have the universal property.
Formal definition
Because the concept of a lattice can be axiomatised in terms of two operations and satisfying certain identities, the category of all lattice... |
https://en.wikipedia.org/wiki/Dror%20Bar-Natan | Dror Bar-Natan (; born January 30, 1966) is a professor at the University of Toronto Department of Mathematics, Canada. His main research interests include knot theory, finite type invariants, and Khovanov homology.
Education
Bar-Natan earned his B.Sc. in mathematics at Tel Aviv University in 1984. After performing h... |
https://en.wikipedia.org/wiki/Coreset | In computational geometry, a coreset is a small set of points that approximates the shape of a larger point set, in the sense that applying some geometric measure to the two sets (such as their minimum bounding box volume) results in approximately equal numbers. Many natural geometric optimization problems have coreset... |
https://en.wikipedia.org/wiki/Sharadchandra%20Shankar%20Shrikhande | Sharadchandra Shankar Shrikhande (19 October 1917 – 21 April 2020) was an Indian mathematician with notable achievements in combinatorial mathematics. He was notable for his breakthrough work along with R. C. Bose and E. T. Parker in their disproof of the famous conjecture made by Leonhard Euler dated 1782 that there d... |
https://en.wikipedia.org/wiki/LLT%20polynomial | In mathematics, an LLT polynomial is one of a family of symmetric functions introduced by Alain Lascoux, Bernard Leclerc, and Jean-Yves Thibon (1997) as q-analogues of products of Schur functions.
J. Haglund, M. Haiman, N. Loehr (2005) showed how to expand Macdonald polynomials in terms of LLT polynomials. Ian Grojnow... |
https://en.wikipedia.org/wiki/Free-by-cyclic%20group | In group theory, especially, in geometric group theory, the class of free-by-cyclic groups have been deeply studied as important examples. A group is said to be free-by-cyclic if it has a free normal subgroup such that the quotient group is cyclic. In other words, is free-by-cyclic if it can be expressed as a group... |
https://en.wikipedia.org/wiki/Virtually | In mathematics, especially in the area of abstract algebra that studies infinite groups, the adverb virtually is used to modify a property so that it need only hold for a subgroup of finite index. Given a property P, the group G is said to be virtually P if there is a finite index subgroup such that H has property P.... |
https://en.wikipedia.org/wiki/Velgo%C5%A1ti | Velgošti () is a village in the municipality of Ohrid, North Macedonia. It has a primary school called Živko Čingo dedicated to the author born there.
Demographics
According to the statistics of the Bulgarian ethnographer Vasil Kanchov from 1900, 1220 inhabitants lived in Velgošti, 1190 Bulgarian Exarchists and 30 Mus... |
https://en.wikipedia.org/wiki/Empirical%20probability | In probability theory and statistics, the empirical probability, relative frequency, or experimental probability of an event is the ratio of the number of outcomes in which a specified event occurs to the total number of trials, i.e., by means not of a theoretical sample space but of an actual experiment. More generall... |
https://en.wikipedia.org/wiki/Section%2051%28xi%29%20of%20the%20Constitution%20of%20Australia | Section 51(xi) of the Constitution of Australia, a subsection of section 51, grants the Commonwealth the power to make laws for "census and statistics".
Background
The first version of the Constitution included a census power. Its inclusion was not controversial. It can be seen as a class of "nationhood powers" whic... |
https://en.wikipedia.org/wiki/Department%20of%20Mathematics%2C%20University%20of%20Manchester | The Department of Mathematics at the University of Manchester is one of the largest unified mathematics departments in the United Kingdom, with over 90 academic staff and an undergraduate intake of roughly 400 students per year (including students studying mathematics with a minor in another subject) and approximately ... |
https://en.wikipedia.org/wiki/Tangential%20and%20normal%20components | In mathematics, given a vector at a point on a curve, that vector can be decomposed uniquely as a sum of two vectors, one tangent to the curve, called the tangential component of the vector, and another one perpendicular to the curve, called the normal component of the vector. Similarly, a vector at a point on a surfac... |
https://en.wikipedia.org/wiki/Mixed%20Hodge%20module | In mathematics, mixed Hodge modules are the culmination of Hodge theory, mixed Hodge structures, intersection cohomology, and the decomposition theorem yielding a coherent framework for discussing variations of degenerating mixed Hodge structures through the six functor formalism. Essentially, these objects are a pair ... |
https://en.wikipedia.org/wiki/Shimura%20variety | In number theory, a Shimura variety is a higher-dimensional analogue of a modular curve that arises as a quotient variety of a Hermitian symmetric space by a congruence subgroup of a reductive algebraic group defined over Q. Shimura varieties are not algebraic varieties but are families of algebraic varieties. Shimura ... |
https://en.wikipedia.org/wiki/Spherical%20polyhedron | In geometry, a spherical polyhedron or spherical tiling is a tiling of the sphere in which the surface is divided or partitioned by great arcs into bounded regions called spherical polygons. Much of the theory of symmetrical polyhedra is most conveniently derived in this way.
The most familiar spherical polyhedron is ... |
https://en.wikipedia.org/wiki/Extravagant%20number | In number theory, an extravagant number (also known as a wasteful number) is a natural number in a given number base that has fewer digits than the number of digits in its prime factorization in the given number base (including exponents). For example, in base 10, 4 = 22, 6 = 2×3, 8 = 23, and 9 = 32 are extravagant num... |
https://en.wikipedia.org/wiki/Equidigital%20number | In number theory, an equidigital number is a natural number in a given number base that has the same number of digits as the number of digits in its prime factorization in the given number base, including exponents but excluding exponents equal to 1. For example, in base 10, 1, 2, 3, 5, 7, and 10 (2 × 5) are equidigita... |
https://en.wikipedia.org/wiki/Frugal%20number | In number theory, a frugal number is a natural number in a given number base that has more digits than the number of digits in its prime factorization in the given number base (including exponents). For example, in base 10, 125 = 53, 128 = 27, 243 = 35, and 256 = 28 are frugal numbers . The first frugal number which is... |
https://en.wikipedia.org/wiki/Lagrange%20multipliers%20on%20Banach%20spaces | In the field of calculus of variations in mathematics, the method of Lagrange multipliers on Banach spaces can be used to solve certain infinite-dimensional constrained optimization problems. The method is a generalization of the classical method of Lagrange multipliers as used to find extrema of a function of finitely... |
https://en.wikipedia.org/wiki/Boldface%20%28disambiguation%29 | Boldface may refer to:
A variety of emphasis (typography)
Boldface pointclass, a concept in descriptive set theory in mathematics
See also
Bold (disambiguation)
Bald face (disambiguation) |
https://en.wikipedia.org/wiki/Superegg | In geometry, a superegg is a solid of revolution obtained by rotating an elongated superellipse with exponent greater than 2 around its longest axis. It is a special case of superellipsoid.
Unlike an elongated ellipsoid, an elongated superegg can stand upright on a flat surface, or on top of another superegg. This ... |
https://en.wikipedia.org/wiki/Standard%20probability%20space | In probability theory, a standard probability space, also called Lebesgue–Rokhlin probability space or just Lebesgue space (the latter term is ambiguous) is a probability space satisfying certain assumptions introduced by Vladimir Rokhlin in 1940. Informally, it is a probability space consisting of an interval and/or a... |
https://en.wikipedia.org/wiki/Paradoxes%20of%20set%20theory | This article contains a discussion of paradoxes of set theory. As with most mathematical paradoxes, they generally reveal surprising and counter-intuitive mathematical results, rather than actual logical contradictions within modern axiomatic set theory.
Basics
Cardinal numbers
Set theory as conceived by Georg Canto... |
https://en.wikipedia.org/wiki/Tasmanian%20year%20book | Tasmanian year book was the annual review of statistics collected for Tasmania.
It was a companion volume to Walch's Tasmanian Almanac bound in the same colour red cloth - and produced between 1967 and 2000.
It was issued by the Commonwealth Bureau of Census and Statistics Tasmanian Office, later known as the Australi... |
https://en.wikipedia.org/wiki/Spherical%20mean | In mathematics, the spherical mean of a function around a point is the average of all values of that function on a sphere of given radius centered at that point.
Definition
Consider an open set U in the Euclidean space Rn and a continuous function u defined on U with real or complex values. Let x be a point in U and r... |
https://en.wikipedia.org/wiki/Phase%20space%20method | In applied mathematics, the phase space method is a technique for constructing and analyzing solutions of dynamical systems, that is, solving time-dependent differential equations.
The method consists of first rewriting the equations as a system of differential equations that are first-order in time, by introducing a... |
https://en.wikipedia.org/wiki/Semifield | In mathematics, a semifield is an algebraic structure with two binary operations, addition and multiplication, which is similar to a field, but with some axioms relaxed.
Overview
The term semifield has two conflicting meanings, both of which include fields as a special case.
In projective geometry and finite geometr... |
https://en.wikipedia.org/wiki/Classification%20of%20Fatou%20components | In mathematics, Fatou components are components of the Fatou set. They were named after Pierre Fatou.
Rational case
If f is a rational function
defined in the extended complex plane, and if it is a nonlinear function (degree > 1)
then for a periodic component of the Fatou set, exactly one of the following holds... |
https://en.wikipedia.org/wiki/SOCR%20%28disambiguation%29 | SOCR is an acronym that can refer to:
Statistics Online Computational Resource
Seattle Office for Civil Rights
State Operated Community Residence
Stand-alone optical character reader
Special Operational Capability Report
Special Operations Craft – Riverine (SOC-R) |
https://en.wikipedia.org/wiki/Geoff%20Smith%20%28mathematician%29 | Geoffrey Charles Smith, MBE (born 1953) is a British mathematician. He is Senior Lecturer in Mathematics at the University of Bath (where he works in group theory) and current professor in residence at Wells Cathedral School.
He was educated at Trinity School in Croydon, and attended Keble College, Oxford, the Univers... |
https://en.wikipedia.org/wiki/Herbert%20Solomon | Herbert Solomon (March 13, 1919 – September 20, 2004) was an American statistician. He was a professor emeritus of statistics at Stanford University and co-founder of the university's statistics department. Born in Harlem to Jewish-Russian immigrant parents, he attended DeWitt Clinton High School and later earned a bac... |
https://en.wikipedia.org/wiki/Hemicube%20%28geometry%29 | In abstract geometry, a hemicube is an abstract, regular polyhedron, containing half the faces of a cube.
Realization
It can be realized as a projective polyhedron (a tessellation of the real projective plane by three quadrilaterals), which can be visualized by constructing the projective plane as a hemisphere where o... |
https://en.wikipedia.org/wiki/Petros%20Protopapadakis | Petros Protopapadakis (; 1854–1922) was a politician and Prime Minister of Greece from May to September 1922.
Life and work
Born in 1860 in Apeiranthos, Naxos, Protopapadakis studied mathematics and engineering in Paris but was keenly interested in politics. He was a professor at the Scholi Evelpidon, the military a... |
https://en.wikipedia.org/wiki/Computational%20mathematics | Computational mathematics is an area of mathematics devoted to the interaction between mathematics and computer computation.
A large part of computational mathematics consists roughly of using mathematics for allowing and improving computer computation in areas of science and engineering where mathematics are useful.... |
https://en.wikipedia.org/wiki/Mikhail%20Khovanov | Mikhail Khovanov (; born 1972) is a Russian-American professor of mathematics at Columbia University who works on representation theory, knot theory, and algebraic topology. He is known for introducing Khovanov homology for links, which was one of the first examples of categorification.
Education and career
Khovanov g... |
https://en.wikipedia.org/wiki/Roy%20Batchelor | Roy A. Batchelor (born 23 March 1947) is Professor Emeritus in Political Economy and Statistics in Bayes Business School (formerly Cass), City, University of London.
Educated at Allan Glen's School and Glasgow University, Roy worked as a government scientist and economist; then at the UK National Institute of Economic... |
https://en.wikipedia.org/wiki/Jyri%20Marttinen | Jyri Marttinen (born September 1, 1982) is a Finnish ice hockey defenceman.
Career statistics
Regular season and playoffs
International
References
External links
1982 births
Drakkars de Caen players
Finnish ice hockey defencemen
GKS Katowice (ice hockey) players
JYP Jyväskylä players
Living people
Lukko pl... |
https://en.wikipedia.org/wiki/Nystr%C3%B6m%20method | In mathematics numerical analysis, the Nyström method or quadrature method seeks the numerical solution of an integral equation by replacing the integral with a representative weighted sum. The continuous problem is broken into discrete intervals; quadrature or numerical integration determines the weights and locatio... |
https://en.wikipedia.org/wiki/Nahm%20equations | In differential geometry and gauge theory, the Nahm equations are a system of ordinary differential equations introduced by Werner Nahm in the context of the Nahm transform – an alternative to Ward's twistor construction of monopoles. The Nahm equations are formally analogous to the algebraic equations in the ADHM cons... |
https://en.wikipedia.org/wiki/Inverse%20problem%20for%20Lagrangian%20mechanics | In mathematics, the inverse problem for Lagrangian mechanics is the problem of determining whether a given system of ordinary differential equations can arise as the Euler–Lagrange equations for some Lagrangian function.
There has been a great deal of activity in the study of this problem since the early 20th century.... |
https://en.wikipedia.org/wiki/Visual%20calculus | Visual calculus, invented by Mamikon Mnatsakanian (known as Mamikon), is an approach to solving a variety of integral calculus problems. Many problems that would otherwise seem quite difficult yield to the method with hardly a line of calculation, often reminiscent of what Martin Gardner called "aha! solutions" or Roge... |
https://en.wikipedia.org/wiki/Paul%20Malliavin | Paul Malliavin (; September 10, 1925 – June 3, 2010) was a French mathematician who made important contributions to harmonic analysis and stochastic analysis.
He is known for the Malliavin calculus, an infinite dimensional calculus for functionals on the Wiener space and his probabilistic proof of Hörmander's theorem.... |
https://en.wikipedia.org/wiki/Cerf%20theory | In mathematics, at the junction of singularity theory and differential topology, Cerf theory is the study of families of smooth real-valued functions
on a smooth manifold , their generic singularities and the topology of the subspaces these singularities define, as subspaces of the function space. The theory is named ... |
https://en.wikipedia.org/wiki/Largest%20cities%20in%20Rio%20Grande%20do%20Sul%20by%20population | Largest cities in the state of Rio Grande do Sul, Brazil by population, in descending order:
References
"Cidades@", Brazilian Institute of Geography and Statistics, Accessed on 2007-03-20.
Rio Grande do Sul
Rio Grande do Sul
de:Liste der Gemeinden in Rio Grande do Sul
pt:Anexo:Lista de municípios do Rio Grande do S... |
https://en.wikipedia.org/wiki/Eigenvalue%20perturbation | In mathematics, an eigenvalue perturbation problem is that of finding the eigenvectors and eigenvalues of a system that is perturbed from one with known eigenvectors and eigenvalues . This is useful for studying how sensitive the original system's eigenvectors and eigenvalues are to changes in the system.
This type... |
https://en.wikipedia.org/wiki/L%C2%B2%20cohomology | In mathematics, L2 cohomology is a cohomology theory for smooth non-compact manifolds M with Riemannian metric. It is defined in the same way as de Rham cohomology except that one uses square-integrable differential forms. The notion of square-integrability makes sense because the metric on M gives rise to a norm on di... |
https://en.wikipedia.org/wiki/GW2 | GW2 may refer to:
Gears of War 2, a science-fiction third-person shooter
Geometry Wars: Retro Evolved², a multidirectional shooter video game created by Bizarre Creations
Guild Wars 2, a massively multiplayer online role-playing game by ArenaNet
Iraq War of 2003, or Gulf War 2
Plants vs. Zombies: Garden Warfare 2,... |
https://en.wikipedia.org/wiki/Elliptic%20boundary%20value%20problem | In mathematics, an elliptic boundary value problem is a special kind of boundary value problem which can be thought of as the stable state of an evolution problem. For example, the Dirichlet problem for the Laplacian gives the eventual distribution of heat in a room several hours after the heating is turned on.
Differ... |
https://en.wikipedia.org/wiki/Optimal%20facility%20location | The study of facility location problems (FLP), also known as location analysis, is a branch of operations research and computational geometry concerned with the optimal placement of facilities to minimize transportation costs while considering factors like avoiding placing hazardous materials near housing, and competit... |
https://en.wikipedia.org/wiki/Schubert%20variety | In algebraic geometry, a Schubert variety is a certain subvariety of a Grassmannian, of -dimensional subspaces of a vector space , usually with singular points. Like the Grassmannian, it is a kind of moduli space, whose elements satisfy conditions giving lower bounds to the dimensions of the intersections of its eleme... |
https://en.wikipedia.org/wiki/Standard%20conjectures%20on%20algebraic%20cycles | In mathematics, the standard conjectures about algebraic cycles are several conjectures describing the relationship of algebraic cycles and Weil cohomology theories. One of the original applications of these conjectures, envisaged by Alexander Grothendieck, was to prove that his construction of pure motives gave an abe... |
https://en.wikipedia.org/wiki/Differentially%20closed%20field | In mathematics, a differential field K is differentially closed if every finite system of differential equations with a solution in some differential field extending K already has a solution in K. This concept was introduced by . Differentially closed fields are the analogues
for differential equations of algebraically... |
https://en.wikipedia.org/wiki/Harald%20Ganzinger | Harald Ganzinger (31 October 1950, Werneck – 3 June 2004, Saarbrücken) was a German computer scientist who together with Leo Bachmair developed the superposition calculus, which is (as of 2007) used in most of the state-of-the-art automated theorem provers for first-order logic.
He received his Ph.D. from the Technica... |
https://en.wikipedia.org/wiki/Index%20group | In operator theory, a branch of mathematics, every Banach algebra can be associated with a group called its abstract index group.
Definition
Let A be a Banach algebra and G the group of invertible elements in A. The set G is open and a topological group. Consider the identity component
G0,
or in other words the co... |
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