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https://en.wikipedia.org/wiki/California%20State%20Summer%20School%20for%20Mathematics%20and%20Science
The California State Summer School for Mathematics and Science (COSMOS) is a summer program for high school students in California for the purpose of preparing them for careers in mathematics and sciences. It is often abbreviated COSMOS, although COSMOS does not contain the correct letters to create an accurate abbrev...
https://en.wikipedia.org/wiki/Candidate%20%28disambiguation%29
A candidate is a person or thing seeking or being considered for some kind of position: Candidate may also refer to: Candidate solution, in mathematics Candidates Tournament, a qualification event for the World Chess Championship Candidate (degree) Film The Candidate (1959 film), an Argentine drama film The Cand...
https://en.wikipedia.org/wiki/John%20Leech%20%28mathematician%29
John Leech (21 July 1926 in Weybridge, Surrey – 28 September 1992 in Scotland) was a British mathematician working in number theory, geometry and combinatorial group theory. He is best known for his discovery of the Leech lattice in 1965. He also discovered Ta(3) in 1957. Leech was married to Jenifer Haselgrove, a Brit...
https://en.wikipedia.org/wiki/Gauss%E2%80%93Manin%20connection
In mathematics, the Gauss–Manin connection is a connection on a certain vector bundle over a base space S of a family of algebraic varieties . The fibers of the vector bundle are the de Rham cohomology groups of the fibers of the family. It was introduced by for curves S and by in higher dimensions. Flat sections...
https://en.wikipedia.org/wiki/David%20Corfield
David Neil Corfield is a British philosopher specializing in philosophy of mathematics and philosophy of psychology. He is Senior Lecturer in Philosophy at the University of Kent. Education Corfield studied mathematics at the University of Cambridge, and later earned his MSc and PhD in the philosophy of science and ma...
https://en.wikipedia.org/wiki/GD
GD may refer to: Arts and entertainment G-Dragon (born 1988), leader of the South Korean musical group Big Bang Grateful Dead, an American rock band Green Day, an American rock band Geometry Dash, a rhythm-based video game for mobile and PC Business and economics Gardner Denver, a US-based manufacturer of indu...
https://en.wikipedia.org/wiki/Refinable%20function
In mathematics, in the area of wavelet analysis, a refinable function is a function which fulfils some kind of self-similarity. A function is called refinable with respect to the mask if This condition is called refinement equation, dilation equation or two-scale equation. Using the convolution (denoted by a star, ...
https://en.wikipedia.org/wiki/Essentially%20surjective%20functor
In mathematics, specifically in category theory, a functor is essentially surjective (or dense) if each object of is isomorphic to an object of the form for some object of . Any functor that is part of an equivalence of categories is essentially surjective. As a partial converse, any full and faithful functor...
https://en.wikipedia.org/wiki/Selman%20Akbulut
Selman Akbulut (born 1949) is a Turkish mathematician, specializing in research in topology, and geometry. He was a professor at Michigan State University until February 2020. Career In 1975 he earned his Ph.D. from the University of California, Berkeley as a student of Robion Kirby. In topology, he has worked on hand...
https://en.wikipedia.org/wiki/Surface%20subgroup%20conjecture
In mathematics, the surface subgroup conjecture of Friedhelm Waldhausen states that the fundamental group of every closed, irreducible 3-manifold with infinite fundamental group has a surface subgroup. By "surface subgroup" we mean the fundamental group of a closed surface not the 2-sphere. This problem is listed as P...
https://en.wikipedia.org/wiki/Hamming%20space
In statistics and coding theory, a Hamming space (named after American mathematician Richard Hamming) is usually the set of all binary strings of length N. It is used in the theory of coding signals and transmission. More generally, a Hamming space can be defined over any alphabet (set) Q as the set of words of a fix...
https://en.wikipedia.org/wiki/Tameness%20theorem
In mathematics, the tameness theorem states that every complete hyperbolic 3-manifold with finitely generated fundamental group is topologically tame, in other words homeomorphic to the interior of a compact 3-manifold. The tameness theorem was conjectured by . It was proved by and, independently, by Danny Calegari a...
https://en.wikipedia.org/wiki/Philippe%20V%C3%A9ron
Philippe Véron (2 March 1939 – 7 August 2014) was a French astronomer. He worked at Observatoire de Haute Provence, where he was director from 1985 to 1994. He studied variability and statistics of quasars, as well as elliptical galaxies. He was married to French astronomer Marie-Paule Véron-Cetty, and together with h...
https://en.wikipedia.org/wiki/Transfer%20matrix
In applied mathematics, the transfer matrix is a formulation in terms of a block-Toeplitz matrix of the two-scale equation, which characterizes refinable functions. Refinable functions play an important role in wavelet theory and finite element theory. For the mask , which is a vector with component indexes from to ,...
https://en.wikipedia.org/wiki/False%20discovery%20rate
In statistics, the false discovery rate (FDR) is a method of conceptualizing the rate of type I errors in null hypothesis testing when conducting multiple comparisons. FDR-controlling procedures are designed to control the FDR, which is the expected proportion of "discoveries" (rejected null hypotheses) that are false ...
https://en.wikipedia.org/wiki/Wadge%20hierarchy
In descriptive set theory, within mathematics, Wadge degrees are levels of complexity for sets of reals. Sets are compared by continuous reductions. The Wadge hierarchy is the structure of Wadge degrees. These concepts are named after William W. Wadge. Wadge degrees Suppose and are subsets of Baire space ωω. Then ...
https://en.wikipedia.org/wiki/Brauer%27s%20theorem%20on%20forms
There also is Brauer's theorem on induced characters. In mathematics, Brauer's theorem, named for Richard Brauer, is a result on the representability of 0 by forms over certain fields in sufficiently many variables. Statement of Brauer's theorem Let K be a field such that for every integer r > 0 there exists an integ...
https://en.wikipedia.org/wiki/Classification%20theorem
In mathematics, a classification theorem answers the classification problem "What are the objects of a given type, up to some equivalence?". It gives a non-redundant enumeration: each object is equivalent to exactly one class. A few issues related to classification are the following. The equivalence problem is "given...
https://en.wikipedia.org/wiki/Convergence%20tests
In mathematics, convergence tests are methods of testing for the convergence, conditional convergence, absolute convergence, interval of convergence or divergence of an infinite series . List of tests Limit of the summand If the limit of the summand is undefined or nonzero, that is , then the series must diverge. In ...
https://en.wikipedia.org/wiki/Critical%20line
Critical line may refer to: In mathematics, a specific subset of the complex numbers asserted by the Riemann hypothesis to be the locus of all non-trivial zeroes of the Riemann zeta function Critical line theorem, a mathematical theorem saying that the proportion of nontrivial zeros of the Riemann zeta function lying ...
https://en.wikipedia.org/wiki/Elementary%20divisors
In algebra, the elementary divisors of a module over a principal ideal domain (PID) occur in one form of the structure theorem for finitely generated modules over a principal ideal domain. If is a PID and a finitely generated -module, then M is isomorphic to a finite sum of the form where the are nonzero primary i...
https://en.wikipedia.org/wiki/Fine%20topology
In mathematics, fine topology can refer to: Fine topology (potential theory) The sense opposite to coarse topology, namely: A term in comparison of topologies which specifies the partial order relation of a topological structure to other one(s) Final topology See also Discrete topology, the most fine topology po...
https://en.wikipedia.org/wiki/Geometric%20modeling
Geometric modeling is a branch of applied mathematics and computational geometry that studies methods and algorithms for the mathematical description of shapes. The shapes studied in geometric modeling are mostly two- or three-dimensional (solid figures), although many of its tools and principles can be applied to se...
https://en.wikipedia.org/wiki/Harmonic%20map
In the mathematical field of differential geometry, a smooth map between Riemannian manifolds is called harmonic if its coordinate representatives satisfy a certain nonlinear partial differential equation. This partial differential equation for a mapping also arises as the Euler-Lagrange equation of a functional called...
https://en.wikipedia.org/wiki/Hilbert%27s%20theorem
Hilbert's theorem may refer to: Hilbert's theorem (differential geometry), stating there exists no complete regular surface of constant negative gaussian curvature immersed in Hilbert's Theorem 90, an important result on cyclic extensions of fields that leads to Kummer theory Hilbert's basis theorem, in commutative...
https://en.wikipedia.org/wiki/Apollonius%27s%20theorem
In geometry, Apollonius's theorem is a theorem relating the length of a median of a triangle to the lengths of its sides. It states that "the sum of the squares of any two sides of any triangle equals twice the square on half the third side, together with twice the square on the median bisecting the third side". Spec...
https://en.wikipedia.org/wiki/List%20of%20Grand%20Slam%20boys%27%20singles%20champions
List of Boys' Singles Junior Grand Slam tournaments tennis champions. Champions by year Statistics Most Grand Slam singles titles Note: when a tie, the person to reach the mark first is listed first. Grand Slam singles titles by country (since 1973) Grand Slam achievements Grand Slam Players who held all four G...
https://en.wikipedia.org/wiki/Australian%20Mathematical%20Society
The Australian Mathematical Society (AustMS) was founded in 1956 and is the national society of the mathematics profession in Australia. One of the Society's listed purposes is to promote the cause of mathematics in the community by representing the interests of the profession to government. The Society also publishes...
https://en.wikipedia.org/wiki/Nils%20Lid%20Hjort
Nils Lid Hjort (born 12 January 1953) is a Norwegian statistician, who has been a professor of mathematical statistics at the University of Oslo since 1991. Hjort's research themes are varied, with particularly noteworthy contributions in the fields of Bayesian probability (Beta processes for use in non- and semi-param...
https://en.wikipedia.org/wiki/Deterrence%20%28penology%29
Deterrence in relation to criminal offending is the idea or theory that the threat of punishment will deter people from committing crime and reduce the probability and/or level of offending in society. It is one of five objectives that punishment is thought to achieve; the other four objectives are denunciation, incapa...
https://en.wikipedia.org/wiki/P%C3%B3lya%20conjecture
In number theory, the Pólya conjecture (or Pólya's conjecture) stated that "most" (i.e., 50% or more) of the natural numbers less than any given number have an odd number of prime factors. The conjecture was set forth by the Hungarian mathematician George Pólya in 1919, and proved false in 1958 by C. Brian Haselgrove. ...
https://en.wikipedia.org/wiki/Green%27s%20matrix
In mathematics, and in particular ordinary differential equations, a Green's matrix helps to determine a particular solution to a first-order inhomogeneous linear system of ODEs. The concept is named after George Green. For instance, consider where is a vector and is an matrix function of , which is continuous fo...
https://en.wikipedia.org/wiki/Infinite%20group
In group theory, an area of mathematics, an infinite group is a group whose underlying set contains an infinite number of elements. In other words, it is a group of infinite order. Examples (Z, +), the group of integers with addition is infinite Non-discrete Lie groups are infinite. For example, (R, +), the group o...
https://en.wikipedia.org/wiki/Map%20coloring
In cartography, map coloring is the act of choosing colors as a form of map symbol to be used on a map. In mathematics, map coloring is the act of assigning colors to features of a map such that no two adjacent features have the same color using the minimum number of colors. Cartography Color is a very useful attribu...
https://en.wikipedia.org/wiki/Characteristic%20multiplier
In mathematics, and particularly ordinary differential equations, a characteristic multiplier is an eigenvalue of a monodromy matrix. The logarithm of a characteristic multiplier is also known as characteristic exponent. They appear in Floquet theory of periodic differential operators and in the Frobenius method. See ...
https://en.wikipedia.org/wiki/Monodromy%20matrix
In mathematics, and particularly ordinary differential equations (ODEs), a monodromy matrix is the fundamental matrix of a system of ODEs evaluated at the period of the coefficients of the system. It is used for the analysis of periodic solutions of ODEs in Floquet theory. See also Floquet theory Monodromy Riemann–Hil...
https://en.wikipedia.org/wiki/182%20%28number%29
182 (one hundred [and] eighty-two) is the natural number following 181 and preceding 183. In mathematics 182 is an even number 182 is a composite number, as it is a positive integer with a positive divisor other than one or itself 182 is a deficient number, as the sum of its proper divisors, 154, is less than 182 ...
https://en.wikipedia.org/wiki/The%20Algebra%20of%20Infinite%20Justice
The Algebra of Infinite Justice (2001) is a collection of essays written by Booker Prize winner Arundhati Roy. The book discusses a wide range of issues including political euphoria in India over its successful nuclear bomb tests, the effect of public works projects on the environment, the influence of foreign multinat...
https://en.wikipedia.org/wiki/Holomorphic%20separability
In mathematics in complex analysis, the concept of holomorphic separability is a measure of the richness of the set of holomorphic functions on a complex manifold or complex-analytic space. Formal definition A complex manifold or complex space is said to be holomorphically separable, if whenever x ≠ y are two points ...
https://en.wikipedia.org/wiki/Vanishing
Vanishing may refer to: Entertainment Vanishing, a type of magical effect. Mathematics The mathematical concept, see root of a function Music A song from the A Perfect Circle album Thirteenth Step A song from Mariah Carey (album) A song by Bryan Adams from Waking Up the Neighbours A song by Barenaked Ladie...
https://en.wikipedia.org/wiki/187%20%28number%29
187 (one hundred [and] eighty-seven) is the natural number following 186 and preceding 188. In mathematics There are 187 ways of forming a sum of positive integers that adds to 11, counting two sums as equivalent when they are cyclic permutations of each other. There are also 187 unordered triples of 5-bit binary numb...
https://en.wikipedia.org/wiki/Sergey%20Krasnikov
Serguei Vladilenovich Krasnikov (; 1961) is a Russian physicist. Life Krasnikov obtained a doctorate (CSc.) in physics and mathematics from Saint Petersburg University. He is currently based at Pulkovo Observatory in St. Petersburg, Russia. Krasnikov’s work is focused on theoretical physics, specifically on the devel...
https://en.wikipedia.org/wiki/Brahmagupta%20matrix
In mathematics, the following matrix was given by Indian mathematician Brahmagupta: It satisfies Powers of the matrix are defined by The and are called Brahmagupta polynomials. The Brahmagupta matrices can be extended to negative integers: See also Brahmagupta's identity Brahmagupta's function References Extern...
https://en.wikipedia.org/wiki/Horseshoe%20lemma
In homological algebra, the horseshoe lemma, also called the simultaneous resolution theorem, is a statement relating resolutions of two objects and to resolutions of extensions of by . It says that if an object is an extension of by , then a resolution of can be built up inductively with the nth item in the res...
https://en.wikipedia.org/wiki/University%20of%20Campinas%20Institute%20of%20Computing
The Institute of Computing (), formerly the Department of Computer Science at the Institute of Mathematics, Statistics and Computer Science, is the main unit of education and research in computer science at the State University of Campinas (Unicamp). The institute is located at the Zeferino Vaz campus, in the district ...
https://en.wikipedia.org/wiki/188%20%28number%29
188 (one hundred [and] eighty-eight) is the natural number following 187 and preceding 189. In mathematics There are 188 different four-element semigroups, and 188 ways a chess queen can move from one corner of a board to the opposite corner by a path that always moves closer to its goal. The sides and diagonals of a...
https://en.wikipedia.org/wiki/Lipkovo
Lipkovo (, ) is a village in North Macedonia. It is the seat of Lipkovo Municipality. History According to the statistics of the Bulgarian ethnographer Vasil Kanchov from 1900, 490 inhabitants lived in Lipkovo, 250 Muslim Albanians and 240 Bulgarian Exarchists. Lipkovo was a central strategic village during the 20...
https://en.wikipedia.org/wiki/Diagonal%20morphism
In category theory, a branch of mathematics, for any object in any category where the product exists, there exists the diagonal morphism satisfying for where is the canonical projection morphism to the -th component. The existence of this morphism is a consequence of the universal property that characterizes...
https://en.wikipedia.org/wiki/Diagonal%20functor
In category theory, a branch of mathematics, the diagonal functor is given by , which maps objects as well as morphisms. This functor can be employed to give a succinct alternate description of the product of objects within the category : a product is a universal arrow from to . The arrow comprises the projection ...
https://en.wikipedia.org/wiki/Jacobson%20ring
In algebra, a Hilbert ring or a Jacobson ring is a ring such that every prime ideal is an intersection of primitive ideals. For commutative rings primitive ideals are the same as maximal ideals so in this case a Jacobson ring is one in which every prime ideal is an intersection of maximal ideals. Jacobson rings were ...
https://en.wikipedia.org/wiki/Australian%20Mathematics%20Competition
The Australian Mathematics Competition is a mathematics competition run by the Australian Maths Trust for students from year 3 up to year 12 in Australia, and their equivalent grades in other countries. Since its inception in 1976 in the Australian Capital Territory, the participation numbers have increased to around ...
https://en.wikipedia.org/wiki/Alain%20Desrosi%C3%A8res
Alain Desrosières (18 April 1940 – 15 February 2013) was a statistician, sociologist and historian of science in France, well known for his work in the history of statistics He is the author of The Politics of Large Numbers: A History of Statistical Reasoning, published in 1993, translated into several languages, incl...
https://en.wikipedia.org/wiki/Abstract%20algebraic%20logic
In mathematical logic, abstract algebraic logic is the study of the algebraization of deductive systems arising as an abstraction of the well-known Lindenbaum–Tarski algebra, and how the resulting algebras are related to logical systems. History The archetypal association of this kind, one fundamental to the historica...
https://en.wikipedia.org/wiki/Kazuya%20Kato
is a Japanese mathematician who works at the University of Chicago and specializes in number theory and arithmetic geometry. Early life and education Kazuya Kato grew up in the prefecture of Wakayama in Japan. He attended college at the University of Tokyo, from which he also obtained his master's degree in 1975, and ...
https://en.wikipedia.org/wiki/Leyland%20number
In number theory, a Leyland number is a number of the form where x and y are integers greater than 1. They are named after the mathematician Paul Leyland. The first few Leyland numbers are 8, 17, 32, 54, 57, 100, 145, 177, 320, 368, 512, 593, 945, 1124 . The requirement that x and y both be greater than 1 is importa...
https://en.wikipedia.org/wiki/Family-wise%20error%20rate
In statistics, family-wise error rate (FWER) is the probability of making one or more false discoveries, or type I errors when performing multiple hypotheses tests. Familywise and Experimentwise Error Rates John Tukey developed in 1953 the concept of a familywise error rate as the probability of making a Type I error ...
https://en.wikipedia.org/wiki/Singular%20cardinals%20hypothesis
In set theory, the singular cardinals hypothesis (SCH) arose from the question of whether the least cardinal number for which the generalized continuum hypothesis (GCH) might fail could be a singular cardinal. According to Mitchell (1992), the singular cardinals hypothesis is: If κ is any singular strong limit cardina...
https://en.wikipedia.org/wiki/SETAR%20%28model%29
In statistics, Self-Exciting Threshold AutoRegressive (SETAR) models are typically applied to time series data as an extension of autoregressive models, in order to allow for higher degree of flexibility in model parameters through a regime switching behaviour. Given a time series of data xt, the SETAR model is a tool...
https://en.wikipedia.org/wiki/Perplexity
In information theory, perplexity is a measurement of how well a probability distribution or probability model predicts a sample. It may be used to compare probability models. A low perplexity indicates the probability distribution is good at predicting the sample. Perplexity was originally introduced in 1977 in the co...
https://en.wikipedia.org/wiki/Crystal%20ball%20%28disambiguation%29
A crystal ball is a scrying or fortune telling orb object Crystal Ball may also refer to: Crystal Ball (detector), a hermetic particle detector Crystal Ball function, a probability density function Crystal Ball (G.I. Joe), a fictional villain in the G.I. Joe universe, member of Cobra Sabato's Crystal Ball, a web ...
https://en.wikipedia.org/wiki/David%20George%20Kendall
David George Kendall FRS (15 January 1918 – 23 October 2007) was an English statistician and mathematician, known for his work on probability, statistical shape analysis, ley lines and queueing theory. He spent most of his academic life in the University of Oxford (1946–1962) and the University of Cambridge (1962–1985)...
https://en.wikipedia.org/wiki/Bombieri%E2%80%93Vinogradov%20theorem
In mathematics, the Bombieri–Vinogradov theorem (sometimes simply called Bombieri's theorem) is a major result of analytic number theory, obtained in the mid-1960s, concerning the distribution of primes in arithmetic progressions, averaged over a range of moduli. The first result of this kind was obtained by Mark Barba...
https://en.wikipedia.org/wiki/Vinogradov%27s%20theorem
In number theory, Vinogradov's theorem is a result which implies that any sufficiently large odd integer can be written as a sum of three prime numbers. It is a weaker form of Goldbach's weak conjecture, which would imply the existence of such a representation for all odd integers greater than five. It is named after I...
https://en.wikipedia.org/wiki/Admissible%20ordinal
In set theory, an ordinal number α is an admissible ordinal if Lα is an admissible set (that is, a transitive model of Kripke–Platek set theory); in other words, α is admissible when α is a limit ordinal and Lα ⊧ Σ0-collection. The term was coined by Richard Platek in 1966. The first two admissible ordinals are ω and...
https://en.wikipedia.org/wiki/Coefficient%20matrix
In linear algebra, a coefficient matrix is a matrix consisting of the coefficients of the variables in a set of linear equations. The matrix is used in solving systems of linear equations. Coefficient matrix In general, a system with linear equations and unknowns can be written as where are the unknowns and the ...
https://en.wikipedia.org/wiki/Archibald%20Henderson%20%28professor%29
Archibald Henderson (July 17, 1877 – December 6, 1963) was an American professor of mathematics who wrote on a variety of subjects, including drama and history. He is well known for his friendship with George Bernard Shaw. Early life He was born at Salisbury, North Carolina, was educated at the University of North Car...
https://en.wikipedia.org/wiki/Routh%27s%20theorem
In geometry, Routh's theorem determines the ratio of areas between a given triangle and a triangle formed by the pairwise intersections of three cevians. The theorem states that if in triangle points , , and lie on segments , , and , then writing , , and , the signed area of the triangle formed by the cevians , , an...
https://en.wikipedia.org/wiki/Quasi-finite%20field
In mathematics, a quasi-finite field is a generalisation of a finite field. Standard local class field theory usually deals with complete valued fields whose residue field is finite (i.e. non-archimedean local fields), but the theory applies equally well when the residue field is only assumed quasi-finite. Formal defi...
https://en.wikipedia.org/wiki/Encyclopedia%20of%20Mathematics
The Encyclopedia of Mathematics (also EOM and formerly Encyclopaedia of Mathematics) is a large reference work in mathematics. Overview The 2002 version contains more than 8,000 entries covering most areas of mathematics at a graduate level, and the presentation is technical in nature. The encyclopedia is edited by Mi...
https://en.wikipedia.org/wiki/Cameron%20Gordon
Cameron Gordon may refer to: Cameron Gordon (mathematician), professor of mathematics at the University of Texas, Austin Cam Gordon, Green Party councillor for Minneapolis, Minnesota Cameron Gordon (American football) (born 1991), American football linebacker See also Gordon Cameron (disambiguation) Cam Gordon (ru...
https://en.wikipedia.org/wiki/Iterated%20monodromy%20group
In geometric group theory and dynamical systems the iterated monodromy group of a covering map is a group describing the monodromy action of the fundamental group on all iterations of the covering. A single covering map between spaces is therefore used to create a tower of coverings, by placing the covering over itself...
https://en.wikipedia.org/wiki/Trevor%20Wooley
Trevor Dion Wooley FRS (born 17 September 1964) is a British mathematician and currently Professor of Mathematics at Purdue University. His fields of interest include analytic number theory, Diophantine equations and Diophantine problems, harmonic analysis, the Hardy-Littlewood circle method, and the theory and applic...
https://en.wikipedia.org/wiki/List%20of%20national%20parks%20of%20Venezuela
The national parks of Venezuela are protected areas in Venezuela covering a wide range of habitats. In 2007 there were 43 national parks, covering 21.76% of Venezuela's territory. Statistics Every Venezuela state has one or more national parks. 5 national parks - Lara, Amazonas 4 national parks - Falcón, Mérida, Mir...
https://en.wikipedia.org/wiki/Fibonacci%27s%20identity
Fibonacci's identity may refer either to: the Brahmagupta–Fibonacci identity in algebra, showing that the set of all sums of two squares is closed under multiplication the Cassini and Catalan identities on Fibonacci numbers
https://en.wikipedia.org/wiki/Sean%20Hood
Sean Hood (born August 13, 1966) is an American screenwriter and film director. Early life Hood graduated from Brown University, with a double major in pure mathematics and studio art, and then spent several years working in Hollywood as a set dresser, prop assistant and art director working with filmmakers as diverse...
https://en.wikipedia.org/wiki/Glaisher%27s%20theorem
In number theory, Glaisher's theorem is an identity useful to the study of integer partitions. Proved in 1883 by James Whitbread Lee Glaisher, it states that the number of partitions of an integer into parts not divisible by is equal to the number of partitions in which no part is repeated or more times. This gener...
https://en.wikipedia.org/wiki/Crofton%20formula
In mathematics, the Crofton formula, named after Morgan Crofton (1826–1915), is a classic result of integral geometry relating the length of a curve to the expected number of times a "random" line intersects it. Statement Suppose is a rectifiable plane curve. Given an oriented line ℓ, let (ℓ) be the number of points ...
https://en.wikipedia.org/wiki/List%20of%20formulae%20involving%20%CF%80
The following is a list of significant formulae involving the mathematical constant . Many of these formulae can be found in the article Pi, or the article Approximations of . Euclidean geometry where is the circumference of a circle, is the diameter, and is the radius. More generally, where and are, respective...
https://en.wikipedia.org/wiki/Morgan%20Crofton
Morgan Crofton (1826, Dublin, Ireland – 1915, Brighton, England) was an Irish mathematician who contributed to the field of geometric probability theory. He also worked with James Joseph Sylvester and contributed an article on probability to the 9th edition of the Encyclopædia Britannica. Crofton's formula is named in ...
https://en.wikipedia.org/wiki/Sobolev%20inequality
In mathematics, there is in mathematical analysis a class of Sobolev inequalities, relating norms including those of Sobolev spaces. These are used to prove the Sobolev embedding theorem, giving inclusions between certain Sobolev spaces, and the Rellich–Kondrachov theorem showing that under slightly stronger conditions...
https://en.wikipedia.org/wiki/Sequential%20space
In topology and related fields of mathematics, a sequential space is a topological space whose topology can be completely characterized by its convergent/divergent sequences. They can be thought of as spaces that satisfy a very weak axiom of countability, and all first-countable spaces (especially metric spaces) are se...
https://en.wikipedia.org/wiki/Jenny%20Harrison
Jenny Harrison is a professor of mathematics at the University of California, Berkeley. Education and career Harrison grew up in Tuscaloosa, Alabama. On graduating from the University of Alabama, she won a Marshall Scholarship which she used to fund her graduate studies at the University of Warwick. She completed her ...
https://en.wikipedia.org/wiki/Joint%20Policy%20Board%20for%20Mathematics
The Joint Policy Board for Mathematics (JPBM) consists of the American Mathematical Society, the American Statistical Association, the Mathematical Association of America, and the Society for Industrial and Applied Mathematics. The Board has nearly 55,000 mathematicians and scientists who are members of the four orga...
https://en.wikipedia.org/wiki/NVSS
NVSS may refer to: National Vital Statistics System, a U.S. government vital statistics system NRAO VLA Sky Survey, an astronomical survey of the northern hemisphere NVSS designation, names like NVSS 2146+82 for objects catalogued by the survey North View Secondary School, a former school in Yishun, Singapore Nor...
https://en.wikipedia.org/wiki/Buzen%27s%20algorithm
In queueing theory, a discipline within the mathematical theory of probability, Buzen's algorithm (or convolution algorithm) is an algorithm for calculating the normalization constant G(N) in the Gordon–Newell theorem. This method was first proposed by Jeffrey P. Buzen in his 1971 PhD dissertation and subsequently pub...
https://en.wikipedia.org/wiki/Pseudorandom%20permutation
In cryptography, a pseudorandom permutation (PRP) is a function that cannot be distinguished from a random permutation (that is, a permutation selected at random with uniform probability, from the family of all permutations on the function's domain) with practical effort. Definition Let F be a mapping . F is a PRP if ...
https://en.wikipedia.org/wiki/Fatou%E2%80%93Bieberbach%20domain
In mathematics, a Fatou–Bieberbach domain is a proper subdomain of , biholomorphically equivalent to . That is, an open set is called a Fatou–Bieberbach domain if there exists a bijective holomorphic function whose inverse function is holomorphic. It is well-known that the inverse can not be polynomial. History ...
https://en.wikipedia.org/wiki/Sphere%20theorem
In Riemannian geometry, the sphere theorem, also known as the quarter-pinched sphere theorem, strongly restricts the topology of manifolds admitting metrics with a particular curvature bound. The precise statement of the theorem is as follows. If M is a complete, simply-connected, n-dimensional Riemannian manifold wi...
https://en.wikipedia.org/wiki/Ernst%20Meissel
Daniel Friedrich Ernst Meissel (31 July 1826, Eberswalde, Brandenburg Province – 11 March 1895, Kiel) was a German astronomer who contributed to various aspects of number theory. See also Meissel–Lehmer algorithm Meissel–Mertens constant External links 1826 births 1895 deaths 19th-century German astronomers 19th-c...
https://en.wikipedia.org/wiki/183%20%28number%29
183 (one hundred [and] eighty-three) is the natural number following 182 and preceding 184. In mathematics 183 is a perfect totient number, a number that is equal to the sum of its iterated totients Because , it is the number of points in a projective plane over the finite field . 183 is the fourth element of a divis...
https://en.wikipedia.org/wiki/Reinhardt%20cardinal
In set theory, a branch of mathematics, a Reinhardt cardinal is a kind of large cardinal. Reinhardt cardinals are considered under ZF (Zermelo–Fraenkel set theory without the Axiom of Choice), because they are inconsistent with ZFC (ZF with the Axiom of Choice). They were suggested by American mathematician William Ne...
https://en.wikipedia.org/wiki/Base%20flow
The term base flow may refer to: Baseflow in hydrology Base flow (random dynamical systems) in the study of random dynamical systems in mathematics
https://en.wikipedia.org/wiki/Block%20matrix%20pseudoinverse
In mathematics, a block matrix pseudoinverse is a formula for the pseudoinverse of a partitioned matrix. This is useful for decomposing or approximating many algorithms updating parameters in signal processing, which are based on the least squares method. Derivation Consider a column-wise partitioned matrix: If the ...
https://en.wikipedia.org/wiki/The%20Book%20of%20Squares
The Book of Squares, (Liber Quadratorum in the original Latin) is a book on algebra by Leonardo Fibonacci, published in 1225. It was dedicated to Frederick II, Holy Roman Emperor. The Liber quadratorum has been passed down by a single 15th-century manuscript, the so-called ms. E 75 Sup. of the Biblioteca Ambrosiana (M...
https://en.wikipedia.org/wiki/Mikl%C3%B3s%20Schweitzer%20Competition
The Miklós Schweitzer Competition (Schweitzer Miklós Matematikai Emlékverseny in Hungarian) is an annual Hungarian mathematics competition for university undergraduates, established in 1949. It is named after Miklós Schweitzer (1 February 1923 – 28 January 1945), a young Hungarian mathematician who died under the Sie...
https://en.wikipedia.org/wiki/Enneper%20surface
In differential geometry and algebraic geometry, the Enneper surface is a self-intersecting surface that can be described parametrically by: It was introduced by Alfred Enneper in 1864 in connection with minimal surface theory. The Weierstrass–Enneper parameterization is very simple, , and the real parametric form c...
https://en.wikipedia.org/wiki/Axiom%20of%20choice%20%28disambiguation%29
Axiom of choice is an axiom of set theory. Axiom of choice may also refer to: Axiom of Choice (band), a world music group of Iranian émigrés See also Axiom of countable choice Axiom of dependent choice Axiom of global choice Axiom of non-choice Axiom of finite choice Luce's choice axiom
https://en.wikipedia.org/wiki/Topology%20%28journal%29
Topology was a peer-reviewed mathematical journal covering topology and geometry. It was established in 1962 and was published by Elsevier. The last issue of Topology appeared in 2009. Pricing dispute On 10 August 2006, after months of unsuccessful negotiations with Elsevier about the price policy of library subscrip...
https://en.wikipedia.org/wiki/Easton%27s%20theorem
In set theory, Easton's theorem is a result on the possible cardinal numbers of powersets. (extending a result of Robert M. Solovay) showed via forcing that the only constraints on permissible values for 2κ when κ is a regular cardinal are (where cf(α) is the cofinality of α) and Statement If G is a class func...
https://en.wikipedia.org/wiki/Realizer
Realizer may refer to: For its use in mathematics see Order dimension CA-Realizer, the programming language similar to Visual Basic created by Computer Associates