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https://en.wikipedia.org/wiki/Multiplicative%20partition
In number theory, a multiplicative partition or unordered factorization of an integer is a way of writing as a product of integers greater than 1, treating two products as equivalent if they differ only in the ordering of the factors. The number is itself considered one of these products. Multiplicative partitions c...
https://en.wikipedia.org/wiki/Radix%20%28disambiguation%29
A radix, or base, is the number of unique digits, including zero, used to represent numbers in a positional numeral system. Radix may also refer to: Mathematics and science Radix (gastropod), a genus of freshwater snails Radical symbol (√), used to indicate a root Root (Latin: ), in biology Computing Radix poin...
https://en.wikipedia.org/wiki/Multinomial%20probit
In statistics and econometrics, the multinomial probit model is a generalization of the probit model used when there are several possible categories that the dependent variable can fall into. As such, it is an alternative to the multinomial logit model as one method of multiclass classification. It is not to be confus...
https://en.wikipedia.org/wiki/Cholponbek%20Esenkul%20Uulu
Cholponbek Esenkul Uulu (born 15 January 1986) is a former Kyrgyzstani footballer who played as a striker. Career statistics International Statistics accurate as of match played 5 September 2014 International Goals References External links 1986 births Living people Kyrgyzstani men's footballers Kyrgyzstan men's...
https://en.wikipedia.org/wiki/Jean-Fran%C3%A7ois%20Le%20Gall
Jean-François Le Gall (born 15 November 1959) is a French mathematician working in areas of probability theory such as Brownian motion, Lévy processes, superprocesses and their connections with partial differential equations, the Brownian snake, random trees, branching processes, stochastic coalescence and random plana...
https://en.wikipedia.org/wiki/Hector%20Munro%20Macdonald
Prof Hector Munro Macdonald FRAS FRSE LLD (19 January 1865 – 16 May 1935) was a Scottish mathematician, born in Edinburgh in 1865. He researched pure mathematics at Cambridge University after graduating from Aberdeen University with an honours degree. Life Both of Hector Macdonald's parents, his mother Annie Munro a...
https://en.wikipedia.org/wiki/Susan%20Brown
Susan or Sue Brown may refer to: Susan Brown (mathematician) (1937–2017), British professor of mathematics L. Susan Brown (born 1959), Canadian anarcha-feminist writer Susan Brown (minister) (born 1958), Scottish minister Susan Brown (English actress) (born 1946) Susan Brown (American actress) (1932–2018) Susan ...
https://en.wikipedia.org/wiki/Communications%20on%20Pure%20and%20Applied%20Mathematics
Communications on Pure and Applied Mathematics is a monthly peer-reviewed scientific journal which is published by John Wiley & Sons on behalf of the Courant Institute of Mathematical Sciences. It covers research originating from or solicited by the institute, typically in the fields of applied mathematics, mathematica...
https://en.wikipedia.org/wiki/Coherent%20ring
In mathematics, a (left) coherent ring is a ring in which every finitely generated left ideal is finitely presented. Many theorems about finitely generated modules over Noetherian rings can be extended to finitely presented modules over coherent rings. Every left Noetherian ring is left coherent. The ring of polyno...
https://en.wikipedia.org/wiki/CPAM
CPAM may refer to: Caisse primaire d'assurances maladie, a primary health insurance fund in France. Center for Performing Arts Medicine Center for Pure and Applied Mathematics Certified Patient Account Manager Certified Public Accountant in Malawi Christian Petersen Art Museum at Iowa State University College P...
https://en.wikipedia.org/wiki/Coxeter%E2%80%93Todd%20lattice
In mathematics, the Coxeter–Todd lattice K12, discovered by , is a 12-dimensional even integral lattice of discriminant 36 with no norm-2 vectors. It is the sublattice of the Leech lattice fixed by a certain automorphism of order 3, and is analogous to the Barnes–Wall lattice. The automorphism group of the Coxeter–To...
https://en.wikipedia.org/wiki/Barnes%E2%80%93Wall%20lattice
In mathematics, the Barnes–Wall lattice Λ16, discovered by Eric Stephen Barnes and G. E. (Tim) Wall (), is the 16-dimensional positive-definite even integral lattice of discriminant 28 with no norm-2 vectors. It is the sublattice of the Leech lattice fixed by a certain automorphism of order 2, and is analogous to the C...
https://en.wikipedia.org/wiki/David%20Aldous
David John Aldous FRS (born 13 July 1952) is a mathematician known for his research on probability theory and its applications, in particular in topics such as exchangeability, weak convergence, Markov chain mixing times, the continuum random tree and stochastic coalescence. He entered St. John's College, Cambridge, i...
https://en.wikipedia.org/wiki/Kazuhiko%20Chiba
is a Japanese footballer. He currently plays for the J2 League club Albirex Niigata. Club statistics Updated to 5 May 2021. 1Includes Japanese Super Cup, FIFA Club World Cup and J. League Championship. National team statistics Honours Club Sanfrecce Hiroshima J1 League: 2012, 2013, 2015 Japanese Super Cup: 2013, 2...
https://en.wikipedia.org/wiki/Linn%20Nyr%C3%B8nning
Linn Nyrønning (born 4 June 1981) is a Norwegian football midfielder who currently plays for Trondheims-Ørn. References Profile at club site National team statistics 1981 births Living people Norwegian women's footballers Norway women's international footballers SK Trondheims-Ørn players Women's association football ...
https://en.wikipedia.org/wiki/Superstatistics
Superstatistics is a branch of statistical mechanics or statistical physics devoted to the study of non-linear and non-equilibrium systems. It is characterized by using the superposition of multiple differing statistical models to achieve the desired non-linearity. In terms of ordinary statistical ideas, this is equiva...
https://en.wikipedia.org/wiki/Tate%27s%20algorithm
In the theory of elliptic curves, Tate's algorithm takes as input an integral model of an elliptic curve E over , or more generally an algebraic number field, and a prime or prime ideal p. It returns the exponent fp of p in the conductor of E, the type of reduction at p, the local index where is the group of -poin...
https://en.wikipedia.org/wiki/Compound%20of%20five%20cuboctahedra
In geometry, this uniform polyhedron compound is a composition of 5 cuboctahedra. It has icosahedral symmetry Ih. Cartesian coordinates Cartesian coordinates for the vertices of this compound are all the cyclic permutations of (±2, 0, ±2) (±τ, ±τ−1, ±(2τ−1)) (±1, ±τ−2, ±τ2) where τ = (1+)/2 is the golden ratio (...
https://en.wikipedia.org/wiki/Compound%20of%20five%20octahemioctahedra
In geometry, this uniform polyhedron compound is a composition of 5 octahemioctahedra, in the same vertex arrangement as in the compound of 5 cuboctahedra. Filling There is some controversy on how to colour the faces of this polyhedron compound. Although the common way to fill in a polygon is to just colour its whole...
https://en.wikipedia.org/wiki/Theaker%20Wilder
Theaker Wilder (1717–1778) was an Anglo-Irish academic with expertise in mathematics and Greek. He was the first Regius Professor of Greek, Senior Register and Senior Fellow at Trinity College Dublin. He is remembered for being Oliver Goldsmith's 'learned savage' of a tutor. Family Born in 1717 at Castle Wilder, Abbey...
https://en.wikipedia.org/wiki/Greg%20Lawler
Gregory Francis Lawler (born July 14, 1955) is an American mathematician working in probability theory and best known for his work since 2000 on the Schramm–Loewner evolution. He received his PhD from Princeton University in 1979 under the supervision of Edward Nelson. He was on the faculty of Duke University from 197...
https://en.wikipedia.org/wiki/Compound%20of%20three%20cubes
In geometry, the compound of three cubes is a uniform polyhedron compound formed from three cubes arranged with octahedral symmetry. It has been depicted in works by Max Brückner and M.C. Escher. History This compound appears in Max Brückner's book Vielecke und Vielflache (1900), and in the lithograph print Waterfall ...
https://en.wikipedia.org/wiki/Mitchell%27s%20group
In mathematics, Mitchell's group is a complex reflection group in 6 complex dimensions of order 108 × 9!, introduced by . It has the structure 6.PSU4(F3).2. As a complex reflection group it has 126 reflections of order 2, and its ring of invariants is a polynomial algebra with generators of degrees 6, 12, 18, 24, 30, 4...
https://en.wikipedia.org/wiki/Minlos%27s%20theorem
In the mathematics of topological vector spaces, Minlos's theorem states that a cylindrical measure on the dual of a nuclear space is a Radon measure if its Fourier transform is continuous. It is named after Robert Adol'fovich Minlos and can be proved using Sazonov's theorem. References Theorems in functional analy...
https://en.wikipedia.org/wiki/Artin%E2%80%93Zorn%20theorem
In mathematics, the Artin–Zorn theorem, named after Emil Artin and Max Zorn, states that any finite alternative division ring is necessarily a finite field. It was first published in 1930 by Zorn, but in his publication Zorn credited it to Artin. The Artin–Zorn theorem is a generalization of the Wedderburn theorem, w...
https://en.wikipedia.org/wiki/Coherence%20condition
In mathematics, and particularly category theory, a coherence condition is a collection of conditions requiring that various compositions of elementary morphisms are equal. Typically the elementary morphisms are part of the data of the category. A coherence theorem states that, in order to be assured that all these equ...
https://en.wikipedia.org/wiki/Trace%20identity
In mathematics, a trace identity is any equation involving the trace of a matrix. Properties Trace identities are invariant under simultaneous conjugation. Uses They are frequently used in the invariant theory of matrices to find the generators and relations of the ring of invariants, and therefore are useful in a...
https://en.wikipedia.org/wiki/Johann%20Friedrich%20Hennert
Johann Friedrich Hennert (19 October 1733 – 30 March 1813) was German-born and lectured in mathematics and physics at the University of Utrecht. He was a significant student of Leonhard Euler. He was known for his inclination towards the British school of philosophy. Work Hennert held the chair of mathematics at the U...
https://en.wikipedia.org/wiki/McShane
McShane may refer to: McShane (name) McShane Bell Foundry, church bell manufacturer, located in Glen Burnie, Maryland, USA See also McShane's identity, geometric topology Shane (disambiguation) MacShane O'Shane
https://en.wikipedia.org/wiki/Dominance%20order
In discrete mathematics, dominance order (synonyms: dominance ordering, majorization order, natural ordering) is a partial order on the set of partitions of a positive integer n that plays an important role in algebraic combinatorics and representation theory, especially in the context of symmetric functions and repres...
https://en.wikipedia.org/wiki/Covering%20relation
In mathematics, especially order theory, the covering relation of a partially ordered set is the binary relation which holds between comparable elements that are immediate neighbours. The covering relation is commonly used to graphically express the partial order by means of the Hasse diagram. Definition Let be a se...
https://en.wikipedia.org/wiki/Algebraic%20combinatorics
Algebraic combinatorics is an area of mathematics that employs methods of abstract algebra, notably group theory and representation theory, in various combinatorial contexts and, conversely, applies combinatorial techniques to problems in algebra. History The term "algebraic combinatorics" was introduced in the late 1...
https://en.wikipedia.org/wiki/Journal%20of%20Algebraic%20Combinatorics
Journal of Algebraic Combinatorics is a peer-reviewed scientific journal covering algebraic combinatorics. It was established in 1992 and is published by Springer Science+Business Media. The editor-in-chief is Ilias S. Kotsireas (Wilfrid Laurier University). In 2017, the journal's four editors-in-chief and editorial b...
https://en.wikipedia.org/wiki/Young%27s%20lattice
In mathematics, Young's lattice is a lattice that is formed by all integer partitions. It is named after Alfred Young, who, in a series of papers On quantitative substitutional analysis, developed the representation theory of the symmetric group. In Young's theory, the objects now called Young diagrams and the partial...
https://en.wikipedia.org/wiki/Journal%20of%20Algebra
Journal of Algebra (ISSN 0021-8693) is an international mathematical research journal in algebra. An imprint of Academic Press, it is published by Elsevier. Journal of Algebra was founded by Graham Higman, who was its editor from 1964 to 1984. From 1985 until 2000, Walter Feit served as its editor-in-chief. In 2004, J...
https://en.wikipedia.org/wiki/Lusin%20space
In mathematics, a Lusin space or Luzin space, named for N. N. Luzin, may mean: In general topology, Polish space #Lusin spaces, image of a Polish space under a bijective continuous map In descriptive set theory and general topology, Luzin space or Luzin set, a hypothetical uncountable topological T1 space without iso...
https://en.wikipedia.org/wiki/Arnaud%20Vincent
Arnaud Vincent (born 30 November 1974) is a French former Grand Prix motorcycle road racer. He was the 2002 F.I.M. 125cc world champion. Career statistics Grand Prix motorcycle racing Races by year (key) (Races in bold indicate pole position, races in italics indicate fastest lap) Supersport World Championship Rac...
https://en.wikipedia.org/wiki/Prismatic%20compound%20of%20antiprisms
In geometry, a prismatic compound of antiprism is a category of uniform polyhedron compound. Each member of this infinite family of uniform polyhedron compounds is a symmetric arrangement of antiprisms sharing a common axis of rotational symmetry. Infinite family This infinite family can be enumerated as follows: For...
https://en.wikipedia.org/wiki/Composition%20ring
In mathematics, a composition ring, introduced in , is a commutative ring (R, 0, +, −, ·), possibly without an identity 1 (see non-unital ring), together with an operation such that, for any three elements one has It is not generally the case that , nor is it generally the case that (or ) has any algebra...
https://en.wikipedia.org/wiki/Johnson%E2%80%93Lindenstrauss%20lemma
In mathematics, the Johnson–Lindenstrauss lemma is a result named after William B. Johnson and Joram Lindenstrauss concerning low-distortion embeddings of points from high-dimensional into low-dimensional Euclidean space. The lemma states that a set of points in a high-dimensional space can be embedded into a space of ...
https://en.wikipedia.org/wiki/Moufang%20plane
In geometry, a Moufang plane, named for Ruth Moufang, is a type of projective plane, more specifically a special type of translation plane. A translation plane is a projective plane that has a translation line, that is, a line with the property that the group of automorphisms that fixes every point of the line acts tra...
https://en.wikipedia.org/wiki/Cecil%20County%20Public%20Schools
Cecil County Public Schools is a public school system serving the residents of Cecil County, Maryland. Demographics, assessments, and statistics are available on the Maryland Report Card website. It is the school district for the entire county. In 2023, it was concluded that Cecil County Public Schools was the least ...
https://en.wikipedia.org/wiki/Wintner
Wintner is a surname. Notable people with the surname include: Aurel Wintner (1903–1958), mathematician; one of the founders of probabilistic number theory Robert Wintner, author and entrepreneur See also Tintner Winter (surname)
https://en.wikipedia.org/wiki/Senador%20Vasconcelos
Senador Vasconcelos is a neighborhood in the West Zone of Rio de Janeiro, Brazil. Neighborhood statistics Total area (2003): 644.18 hectares. Total population (2010): 30,600 Total of domiciles (2010): 9,826 Administrative region: XVIII - Campo Grande. References Neighbourhoods in Rio de Janeiro (city)
https://en.wikipedia.org/wiki/Brocard%20triangle
In geometry, the Brocard triangle of a triangle is a triangle formed by the intersection of lines from a vertex to its corresponding Brocard point and a line from another vertex to its corresponding Brocard point and the other two points constructed using different combinations of vertices and Brocard points. This tria...
https://en.wikipedia.org/wiki/Weyl%20connection
In differential geometry, a Weyl connection (also called a Weyl structure) is a generalization of the Levi-Civita connection that makes sense on a conformal manifold. They were introduced by Hermann Weyl in an attempt to unify general relativity and electromagnetism. His approach, although it did not lead to a succe...
https://en.wikipedia.org/wiki/Conformal%20dimension
In mathematics, the conformal dimension of a metric space X is the infimum of the Hausdorff dimension over the conformal gauge of X, that is, the class of all metric spaces quasisymmetric to X. Formal definition Let X be a metric space and be the collection of all metric spaces that are quasisymmetric to X. The conf...
https://en.wikipedia.org/wiki/George%20Anderson%20%28footballer%2C%20born%201904%29
George Russell Anderson (24 October 1904 – December 1974) was a Scottish professional footballer who played in the Football League for a number of clubs as a forward. Career statistics Sources Canary Citizens by Mike Davage, John Eastwood, Kevin Platt, published by Jarrold Publishing, (2001), 99 Years & Counting – S...
https://en.wikipedia.org/wiki/Ren%C3%A9%20de%20Saussure
René de Saussure (17 March 1868 – 2 December 1943) was a Swiss Esperantist and professional mathematician (he defended a doctoral thesis on a subject in geometry at the Johns Hopkins University in 1895 and until 1899 he was professor at the Catholic University of America in Washington, D.C., and later in Geneva and Ber...
https://en.wikipedia.org/wiki/Ordered%20weighted%20averaging
In applied mathematics, specifically in fuzzy logic, the ordered weighted averaging (OWA) operators provide a parameterized class of mean type aggregation operators. They were introduced by Ronald R. Yager. Many notable mean operators such as the max, arithmetic average, median and min, are members of this class. They ...
https://en.wikipedia.org/wiki/Awarta
Awarta () is a Palestinian town located southeast of Nablus, in the northern West Bank. According to the Palestinian Central Bureau of Statistics, the town had a population of 7,054 inhabitants in 2017. Awarta's built-up area consists of and it is governed by a village council. Awarta was an important Samaritan cent...
https://en.wikipedia.org/wiki/Fuhrmann%20circle
__notoc__ In geometry, the Fuhrmann circle of a triangle, named after the German Wilhelm Fuhrmann (1833–1904), is the circle with a diameter of the line segment between the orthocenter and the Nagel point . This circle is identical with the circumcircle of the Fuhrmann triangle. The radius of the Fuhrmann circle of...
https://en.wikipedia.org/wiki/Center%20for%20Research%20in%20Economics%20and%20Statistics
The Center for Research in Economics and Statistics (CREST) is the center of research of the INSEE, the French National Institute for Statistics and Economic Studies. The research center is affiliated with the ENSAE graduate school. It has been directed by Arnak Dalalyan since 2020. Before Dalalyan, it had been directe...
https://en.wikipedia.org/wiki/Sava%20Grozdev
Sava Grozdev () (born July 13, 1950, in Sofia, Bulgaria) is a Bulgarian mathematician and educator. He currently holds positions as Professor in Mathematics (Mathematical Analysis) and Professor in Mathematical Education. Biography Grozdev has PhD degree in mathematics (1980) and DSc degree in Pedagogical Sciences (20...
https://en.wikipedia.org/wiki/Perspective%20%28geometry%29
Two figures in a plane are perspective from a point O, called the center of perspectivity, if the lines joining corresponding points of the figures all meet at O. Dually, the figures are said to be perspective from a line if the points of intersection of corresponding lines all lie on one line. The proper setting for t...
https://en.wikipedia.org/wiki/Periphery%20%28France%29
A periphery, (Fr: couronne) is an INSEE (French demographic statistics institution) statistical area designating a commuter belt around an urban unit (Fr: unité urbaine). Together these complete the INSEE urban area statistical area. Based on France's commune system (interlocking administrative subdivisions often comp...
https://en.wikipedia.org/wiki/List%20of%20Cardiff%20City%20F.C.%20records%20and%20statistics
Cardiff City Football Club is a Welsh professional association football club based in Cardiff, Wales. The club was founded in 1899 and initially played in local amateur leagues before joining the English football league system. After spending a decade in the Southern Football League, Cardiff joined the Football League ...
https://en.wikipedia.org/wiki/Scheff%C3%A9%27s%20method
In statistics, Scheffé's method, named after American statistician Henry Scheffé, is a method for adjusting significance levels in a linear regression analysis to account for multiple comparisons. It is particularly useful in analysis of variance (a special case of regression analysis), and in constructing simultaneou...
https://en.wikipedia.org/wiki/Kim%20Tae-yeon%20%28footballer%29
Kim Tae-Yeon (born 27 June 1988 in Seoul) is a South Korean footballer who plays as a defensive midfielder, he has also been used as a centre-back. Club career statistics References External links Living people 1988 births Men's association football midfielders South Korean men's footballers South Korean expatriate...
https://en.wikipedia.org/wiki/Explained%20variation
In statistics, explained variation measures the proportion to which a mathematical model accounts for the variation (dispersion) of a given data set. Often, variation is quantified as variance; then, the more specific term explained variance can be used. The complementary part of the total variation is called unexplai...
https://en.wikipedia.org/wiki/Expectation%20propagation
Expectation propagation (EP) is a technique in Bayesian machine learning. EP finds approximations to a probability distribution. It uses an iterative approach that uses the factorization structure of the target distribution. It differs from other Bayesian approximation approaches such as variational Bayesian methods....
https://en.wikipedia.org/wiki/Decagrammic%20prism
In geometry, the decagrammic prism is one of an infinite set of nonconvex prisms formed by squares sides and two regular star polygon caps, in this case two decagrams. It has 12 faces (10 squares and 2 decagrams), 30 edges, and 20 vertices. Prismatoid polyhedra
https://en.wikipedia.org/wiki/Armenians%20in%20Azerbaijan
Armenians in Azerbaijan (; ) are the Armenians who lived in great numbers in the modern state of Azerbaijan and its precursor, Soviet Azerbaijan. According to the statistics, about 500,000 Armenians lived in Soviet Azerbaijan prior to the outbreak of the First Nagorno-Karabakh War in 1988. Most of the Armenian-Azerbaij...
https://en.wikipedia.org/wiki/Cleaver%20%28geometry%29
In geometry, a cleaver of a triangle is a line segment that bisects the perimeter of the triangle and has one endpoint at the midpoint of one of the three sides. They are not to be confused with splitters, which also bisect the perimeter, but with an endpoint on one of the triangle's vertices instead of its sides. Con...
https://en.wikipedia.org/wiki/Ibrahim%20Umar
Ibrahim Khalil Umar is a Nigerian scientist and university administrator. He was Vice-Chancellor of Bayero University, Kano, Nigeria from 1979 to 1986. He holds a B.Sc. in physics and mathematics from Ahmadu Bello University in Zaria, Nigeria, a M.Sc. in physics from Northern Illinois University, USA and a Ph.D. (1974)...
https://en.wikipedia.org/wiki/Florence%20Marie%20Mears
Florence Marie Mears (May 18, 1896 – December 3, 1995) was a professor of Mathematics at The George Washington University. Background and education Mears was born in Baltimore, Maryland and attended Baltimore public schools. She received her undergraduate degree in Mathematics at Goucher College, earning a Phi Beta K...
https://en.wikipedia.org/wiki/Topology%20of%20the%20World%20Wide%20Web
World Wide Web topology is the network topology of the World Wide Web, as seen as a network of web pages connected by hyperlinks. The Jellyfish and Bow Tie models are two attempts at modeling the topology of hyperlinks between web pages. Models of web page topology Jellyfish Model The simplistic Jellyfish model of ...
https://en.wikipedia.org/wiki/Woo%20Sung-yong
Woo Sung-yong (born August 18, 1974) is a South Korean former professional footballer who played as a forward. Career statistics Club International Results list South Korea's goal tally first. References External links 1974 births Living people South Korean men's footballers Men's association football forward...
https://en.wikipedia.org/wiki/Mittenpunkt
In geometry, the (from German: middle point) of a triangle is a triangle center: a point defined from the triangle that is invariant under Euclidean transformations of the triangle. It was identified in 1836 by Christian Heinrich von Nagel as the symmedian point of the excentral triangle of the given triangle. Coordi...
https://en.wikipedia.org/wiki/Fitting%20length
In mathematics, specifically in the area of algebra known as group theory, the Fitting length (or nilpotent length) measures how far a solvable group is from being nilpotent. The concept is named after Hans Fitting, due to his investigations of nilpotent normal subgroups. Definition A Fitting chain (or Fitting series...
https://en.wikipedia.org/wiki/Hiroshima%20Mathematical%20Journal
The Hiroshima Mathematical Journal is an open-access mathematics journal that continues the Journal of Science of the Hiroshima University, Series A (1930–1960) and Journal of Science of the Hiroshima University, Series A - I (1961–1970). The journal contains original research papers in pure and applied mathematics. Ea...
https://en.wikipedia.org/wiki/Free%20ideal%20ring
In mathematics, especially in the field of ring theory, a (right) free ideal ring, or fir, is a ring in which all right ideals are free modules with unique rank. A ring such that all right ideals with at most n generators are free and have unique rank is called an n-fir. A semifir is a ring in which all finitely gener...
https://en.wikipedia.org/wiki/Elman%20Sultanov
Elman Sultanov (born 6 May 1974) is an Azerbaijani-Israeli-Ukrainian retired professional footballer and current Reserve team coach for Sabail FK. National team statistics External links 1974 births Living people Israeli men's footballers Azerbaijani men's footballers FC Krystal Kherson players FC Vorskla Polta...
https://en.wikipedia.org/wiki/Sz%C3%A1sz%E2%80%93Mirakyan%20operator
In functional analysis, a discipline within mathematics, the Szász–Mirakyan operators (also spelled "Mirakjan" and "Mirakian") are generalizations of Bernstein polynomials to infinite intervals, introduced by Otto Szász in 1950 and G. M. Mirakjan in 1941. They are defined by = where and . Basic results In 1964, Chen...
https://en.wikipedia.org/wiki/Sz%C3%A1sz%E2%80%93Mirakjan%E2%80%93Kantorovich%20operator
In functional analysis, a discipline within mathematics, the Szász–Mirakjan–Kantorovich operators are defined by where and . See also Szász–Mirakyan operator Notes References Approximation theory
https://en.wikipedia.org/wiki/List%20of%20vector%20spaces%20in%20mathematics
This is a list of vector spaces in abstract mathematics, by Wikipedia page. Banach space Besov space Bochner space Dual space Euclidean space Fock space Fréchet space Hardy space Hilbert space Hölder space LF-space Lp space Minkowski space Montel space Morrey–Campanato space Orlicz space Riesz space Schwartz space Sob...
https://en.wikipedia.org/wiki/Hanner%27s%20inequalities
In mathematics, Hanner's inequalities are results in the theory of Lp spaces. Their proof was published in 1956 by Olof Hanner. They provide a simpler way of proving the uniform convexity of Lp spaces for p ∈ (1, +∞) than the approach proposed by James A. Clarkson in 1936. Statement of the inequalities Let f, g ∈ Lp(E...
https://en.wikipedia.org/wiki/Trisected%20perimeter%20point
In geometry, given a triangle ABC, there exist unique points A´, B´, and C´ on the sides BC, CA, AB respectively, such that: A´, B´, and C´ partition the perimeter of the triangle into three equal-length pieces. That is, . The three lines AA´, BB´, and CC´ meet in a point, the trisected perimeter point. This is po...
https://en.wikipedia.org/wiki/Magic%20circle%20%28mathematics%29
Magic circles were invented by the Song dynasty (960–1279) Chinese mathematician Yang Hui (c. 1238–1298). It is the arrangement of natural numbers on circles where the sum of the numbers on each circle and the sum of numbers on diameters are identical. One of his magic circles was constructed from the natural numbers f...
https://en.wikipedia.org/wiki/Splitter%20%28geometry%29
In Euclidean geometry, a splitter is a line segment through one of the vertices of a triangle (that is, a cevian) that bisects the perimeter of the triangle. They are not to be confused with cleavers, which also bisect the perimeter but instead emanate from the midpoint of one of the triangle's sides. Properties The o...
https://en.wikipedia.org/wiki/Iwasawa%20manifold
In mathematics, in the field of differential geometry, an Iwasawa manifold is a compact quotient of a 3-dimensional complex Heisenberg group by a cocompact, discrete subgroup. An Iwasawa manifold is a nilmanifold, of real dimension 6. Iwasawa manifolds give examples where the first two terms E1 and E2 of the Frölic...
https://en.wikipedia.org/wiki/List%20of%20Manchester%20City%20F.C.%20records%20and%20statistics
This article lists various statistics related to Manchester City Football Club. Club honours Premier League/First Division (highest tier) Winners (9): 1936–37, 1967–68, 2011–12, 2013–14, 2017–18, 2018–19, 2020–21, 2021–22, 2022–23 Runners-up (6): 1903–04, 1920–21, 1976–77, 2012–13, 2014–15, 2019–20 First Division/Sec...
https://en.wikipedia.org/wiki/Toroid
In mathematics, a toroid is a surface of revolution with a hole in the middle. The axis of revolution passes through the hole and so does not intersect the surface. For example, when a rectangle is rotated around an axis parallel to one of its edges, then a hollow rectangle-section ring is produced. If the revolved fig...
https://en.wikipedia.org/wiki/Mandart%20inellipse
In geometry, the Mandart inellipse of a triangle is an ellipse that is inscribed within the triangle, tangent to its sides at the contact points of its excircles (which are also the vertices of the extouch triangle and the endpoints of the splitters). The Mandart inellipse is named after H. Mandart, who studied it in t...
https://en.wikipedia.org/wiki/Rabinowitsch%20trick
In mathematics, the Rabinowitsch trick, introduced by , is a short way of proving the general case of the Hilbert Nullstellensatz from an easier special case (the so-called weak Nullstellensatz), by introducing an extra variable. The Rabinowitsch trick goes as follows. Let K be an algebraically closed field. Suppose t...
https://en.wikipedia.org/wiki/Tur%C3%A1n%20number
In mathematics, the Turán number T(n,k,r) for r-uniform hypergraphs of order n is the smallest number of r-edges such that every induced subgraph on k vertices contains an edge. This number was determined for r = 2 by , and the problem for general r was introduced in . The paper gives a survey of Turán numbers. D...
https://en.wikipedia.org/wiki/MathFest
MathFest is a mathematics conference hosted annually in late summer by the Mathematical Association of America. It is known for its dual focus on teaching and research in mathematics, as well as for student participation. MathFest Locations The 2015 meeting in Washington, D.C. was an extra day long in order to inclu...
https://en.wikipedia.org/wiki/Joint%20Mathematics%20Meetings
The Joint Mathematics Meetings (JMM) is a mathematics conference hosted annually in early January by the American Mathematical Society (AMS). Frequently, several other national mathematics organizations also participate. The meeting is the largest gathering of mathematicians in the United States, and the largest annual...
https://en.wikipedia.org/wiki/History%20of%20statistics
Statistics, in the modern sense of the word, began evolving in the 18th century in response to the novel needs of industrializing sovereign states. In early times, the meaning was restricted to information about states, particularly demographics such as population. This was later extended to include all collections of...
https://en.wikipedia.org/wiki/Knaster%E2%80%93Kuratowski%20fan
In topology, a branch of mathematics, the Knaster–Kuratowski fan (named after Polish mathematicians Bronisław Knaster and Kazimierz Kuratowski) is a specific connected topological space with the property that the removal of a single point makes it totally disconnected. It is also known as Cantor's leaky tent or Cantor'...
https://en.wikipedia.org/wiki/M.%20Ram%20Murty
Maruti Ram Pedaprolu Murty, FRSC (born 16 October 1953) is an Indo-Canadian mathematician at Queen's University, where he holds a Queen's Research Chair in mathematics. Biography M. Ram Murty is the brother of mathematician V. Kumar Murty. Murty graduated with a B.Sc. from Carleton University in 1976. He received hi...
https://en.wikipedia.org/wiki/Tur%C3%A1n%27s%20inequalities
In mathematics, Turán's inequalities are some inequalities for Legendre polynomials found by (and first published by ). There are many generalizations to other polynomials, often called Turán's inequalities, given by and other authors. If is the th Legendre polynomial, Turán's inequalities state that For , the th...
https://en.wikipedia.org/wiki/Ruin%20theory
In actuarial science and applied probability, ruin theory (sometimes risk theory or collective risk theory) uses mathematical models to describe an insurer's vulnerability to insolvency/ruin. In such models key quantities of interest are the probability of ruin, distribution of surplus immediately prior to ruin and def...
https://en.wikipedia.org/wiki/Sl2-triple
In the theory of Lie algebras, an sl2-triple is a triple of elements of a Lie algebra that satisfy the commutation relations between the standard generators of the special linear Lie algebra sl2. This notion plays an important role in the theory of semisimple Lie algebras, especially in regard to their nilpotent orbit...
https://en.wikipedia.org/wiki/Steinberg%20group%20%28K-theory%29
In algebraic K-theory, a field of mathematics, the Steinberg group of a ring is the universal central extension of the commutator subgroup of the stable general linear group of . It is named after Robert Steinberg, and it is connected with lower -groups, notably and . Definition Abstractly, given a ring , the Ste...
https://en.wikipedia.org/wiki/Victor%20Ginzburg
Victor Ginzburg (born 1957) is a Russian American mathematician who works in representation theory and in noncommutative geometry. He is known for his contributions to geometric representation theory, especially, for his works on representations of quantum groups and Hecke algebras, and on the geometric Langlands progr...
https://en.wikipedia.org/wiki/Vaughan%27s%20identity
In mathematics and analytic number theory, Vaughan's identity is an identity found by that can be used to simplify Vinogradov's work on trigonometric sums. It can be used to estimate summatory functions of the form where f is some arithmetic function of the natural integers n, whose values in applications are often ...
https://en.wikipedia.org/wiki/Stefan%20Glarner
Stefan Glarner (born 21 November 1987) is a Swiss footballer who plays for FC Köniz in the Swiss 1. Liga. Career statistics References External links Weltfussball profile 1987 births Living people People from Interlaken-Oberhasli District Swiss men's footballers Switzerland men's under-21 international footballe...
https://en.wikipedia.org/wiki/Alejandro%20Gavatorta
Alejandro Roberto Gavatorta (born 21 March 1980 in Gálvez, Santa Fe) is an Argentine retired football midfielder. References External links Alejandro Gavatorta – Argentine Primera statistics at Fútbol XXI Alejandro Gavatorta at BDFA.com.ar 1980 births Living people Argentine men's footballers Club Atlético C...
https://en.wikipedia.org/wiki/Encyclopedia%20of%20Triangle%20Centers
The Encyclopedia of Triangle Centers (ETC) is an online list of thousands of points or "centers" associated with the geometry of a triangle. It is maintained by Clark Kimberling, Professor of Mathematics at the University of Evansville. , the list identifies 54,031 triangle centers. Each point in the list is identifi...