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Wikipedia:Graph automorphism#0
In the mathematical field of graph theory, an automorphism of a graph is a form of symmetry in which the graph is mapped onto itself while preserving the edge–vertex connectivity. Formally, an automorphism of a graph G = (V, E) is a permutation σ of the vertex set V, such that the pair of vertices (u, v) form an edge i...
Wikipedia:Graph energy#0
In mathematics, the energy of a graph is the sum of the absolute values of the eigenvalues of the adjacency matrix of the graph. This quantity is studied in the context of spectral graph theory. More precisely, let G be a graph with n vertices. It is assumed that G is a simple graph, that is, it does not contain loops ...
Wikipedia:Graph of a function#0
In mathematics, the graph of a function f {\displaystyle f} is the set of ordered pairs ( x , y ) {\displaystyle (x,y)} , where f ( x ) = y . {\displaystyle f(x)=y.} In the common case where x {\displaystyle x} and f ( x ) {\displaystyle f(x)} are real numbers, these pairs are Cartesian coordinates of points in a plane...
Wikipedia:Greedy algorithm for Egyptian fractions#0
In mathematics, the greedy algorithm for Egyptian fractions is a greedy algorithm, first described by Fibonacci, for transforming rational numbers into Egyptian fractions. An Egyptian fraction is a representation of an irreducible fraction as a sum of distinct unit fractions, such as ⁠5/6⁠ = ⁠1/2⁠ + ⁠1/3⁠. As the name ...
Wikipedia:Greek numerals#0
Greek numerals, also known as Ionic, Ionian, Milesian, or Alexandrian numerals, is a system of writing numbers using the letters of the Greek alphabet. In modern Greece, they are still used for ordinal numbers and in contexts similar to those in which Roman numerals are still used in the Western world. For ordinary car...
Wikipedia:Green's identities#0
In mathematics, Green's identities are a set of three identities in vector calculus relating the bulk with the boundary of a region on which differential operators act. They are named after the mathematician George Green, who discovered Green's theorem. == Green's first identity == This identity is derived from the div...
Wikipedia:Greg Kuperberg#0
Greg Kuperberg (born July 4, 1967) is a Polish-born American mathematician known for his contributions to geometric topology, quantum algebra, and combinatorics. Kuperberg is a professor of mathematics at the University of California, Davis. == Biography == Kuperberg is the son of two mathematicians, Krystyna Kuperberg...
Wikipedia:Gregory Chaitin#0
Gregory John Chaitin ( CHY-tin; born 25 June 1947) is an Argentine-American mathematician and computer scientist. Beginning in the late 1960s, Chaitin made contributions to algorithmic information theory and metamathematics, in particular a computer-theoretic result equivalent to Gödel's incompleteness theorem. He is c...
Wikipedia:Gregory Eskin#0
Gregory Eskin (Hebrew: גרגורי אסקין, Russian: Григорий Ильич Эскин, born 5 December 1936) is a Russian-Israeli-American mathematician, specializing in partial differential equations. Eskin received in 1963 his Ph.D. (Russian candidate's degree) from Moscow State University with thesis advisor Georgiy Shilov. In 1974 Es...
Wikipedia:Gregory Gutin#0
Gregory Z. Gutin (Hebrew: גרגורי גוטין; born 17 January 1957) is a scholar in theoretical computer science and discrete mathematics. He received his PhD in Mathematics in 1993 from Tel Aviv University under the supervision of Noga Alon. Since September 2000 Gutin has been Professor in Computer Science at Royal Holloway...
Wikipedia:Gregory coefficients#0
Gregory coefficients Gn, also known as reciprocal logarithmic numbers, Bernoulli numbers of the second kind, or Cauchy numbers of the first kind, are the rational numbers that occur in the Maclaurin series expansion of the reciprocal logarithm z ln ⁡ ( 1 + z ) = 1 + 1 2 z − 1 12 z 2 + 1 24 z 3 − 19 720 z 4 + 3 160 z 5 ...
Wikipedia:Gresham Professor of Geometry#0
The Professor of Geometry at Gresham College, London, gives free educational lectures to the general public. The college was founded for this purpose in 1597, when it created seven professorships; this was later increased to ten. Geometry is one of the original professorships as set out by the will of Thomas Gresham in...
Wikipedia:Griess algebra#0
In mathematics, the Griess algebra is a commutative non-associative algebra on a real vector space of dimension 196884 that has the Monster group M as its automorphism group. It is named after mathematician R. L. Griess, who constructed it in 1980 and subsequently used it in 1982 to construct M. The Monster fixes (vect...
Wikipedia:Grigori Milstein#0
Grigori N. Milstein (Russian: Григорий Нойхович Мильштейн; 6 June 1937 – 22 November 2023) was a Russian mathematician who made many important contributions to Stochastic Numerics, Estimation, Control, Stability theory, Financial Mathematics. == Biography == G.N. Milstein received his undergraduate degree in mathematic...
Wikipedia:Grigorii Fikhtengol'ts#0
Grigorii Mikhailovich Fikhtengol'ts (Russian: Григо́рий Миха́йлович Фихтенго́льц, Ukrainian: Григорій Михайлович Фіхтенгольц, romanized: Hryhorii Mykhailovych Fikhtenholts; 8 June 1888 – 26 June 1959) was a Soviet mathematician working on real analysis and functional analysis. Fikhtengol'ts was one of the founders of t...
Wikipedia:Griselda Pascual#0
Griselda, also spelled Grizelda, is a feminine given name from Germanic sources that is now used in English, Italian, and Spanish as well. According to the 1990 United States Census, the name was 1,066th in popularity among females in the United States. The name likely specifically stems from the Proto-Germanic languag...
Wikipedia:Grosshans subgroup#0
In mathematics, in the representation theory of algebraic groups, a Grosshans subgroup, named after Frank Grosshans, is an algebraic subgroup of an algebraic group that is an observable subgroup for which the ring of functions on the quotient variety is finitely generated. == References == == External links == Invarian...
Wikipedia:Groupoid algebra#0
In abstract algebra, a magma, binar, or, rarely, groupoid is a basic kind of algebraic structure. Specifically, a magma consists of a set equipped with a single binary operation that must be closed by definition. No other properties are imposed. == History and terminology == The term groupoid was introduced in 1927 by ...
Wikipedia:Groups, Geometry, and Dynamics#0
Groups, Geometry, and Dynamics is a quarterly peer-reviewed mathematics journal published quarterly by the European Mathematical Society. It was established in 2007 and covers all aspects of groups, group actions, geometry and dynamical systems. The journal is indexed by Mathematical Reviews and Zentralblatt MATH. Its ...
Wikipedia:Grzegorz Rempala#0
Grzegorz (“Greg”) A. Rempala (Polish: Rempała; born March 19, 1968) is a Polish-American applied mathematician who works on the theory and applications of complex stochastic systems. == Biography == Rempala studied mathematics at the University of Warsaw from 1987 to 1991, and worked at the Computer Science Institute o...
Wikipedia:Grzegorz Rozenberg#0
Grzegorz Rozenberg (born 14 March 1942, Warsaw) is a Polish and Dutch computer scientist. His primary research areas are natural computing, formal language and automata theory, graph transformations, and concurrent systems. He is referred to as the guru of natural computing, as he was promoting the vision of natural co...
Wikipedia:Grzegorz Świątek#0
Grzegorz Świątek (born 1964) is a Polish mathematician, currently a professor at the Warsaw University of Technology. He is known for his contributions to dynamical systems. Świątek earned his PhD from the University of Warsaw under supervision of Michał Misiurewicz in 1987. Then he has held academic positions in Polan...
Wikipedia:Gröbner basis#0
In mathematics, and more specifically in computer algebra, computational algebraic geometry, and computational commutative algebra, a Gröbner basis is a particular kind of generating set of an ideal in a polynomial ring K [ x 1 , … , x n ] {\displaystyle K[x_{1},\ldots ,x_{n}]} over a field K {\displaystyle K} . A Gröb...
Wikipedia:Gröbner fan#0
In computer algebra, the Gröbner fan of an ideal in the ring of polynomials is a concept in the theory of Gröbner bases. It is defined to be a fan consisting of cones that correspond to different monomial orders on that ideal. The concept was introduced by Mora and Robbiano in 1988. The result is a weaker version of th...
Wikipedia:Guido Ascoli#0
Guido Ascoli (12 December 1887, in Livorno – 10 May 1957, in Torino) was an Italian mathematician, known for his contributions to the theory of partial differential equations, and for his works on the teaching of mathematics in secondary high schools. == Selected publications == Ascoli, G.; Burgatti, P.; Giraud, G. (19...
Wikipedia:Guido Mislin#0
Guido Mislin (born April 13, 1941 in Basel) is a Swiss mathematician, academic and researcher. He is a Professor Emeritus of Mathematics at ETH Zurich. He is also associated with Ohio State University as a guest at Mathematics Department. Mislin's main area of research is algebraic topology, focusing especially on ques...
Wikipedia:Guillermo Martínez (writer)#0
Guillermo Martínez (born 29 July 1962) is an Argentine novelist and short story writer. Martínez was born in Bahía Blanca, Argentina. He gained a PhD in mathematical logic at the University of Buenos Aires. After his degree in Argentina, he worked for two years in a postdoctoral position at the Mathematical Institute, ...
Wikipedia:Gunduz Caginalp#0
Gunduz Caginalp (died December 7th, 2021) was a Turkish-born American mathematician whose research has also contributed over 100 papers to physics, materials science and economics/finance journals, including two with Michael Fisher and nine with Nobel Laureate Vernon Smith. He began his studies at Cornell University in...
Wikipedia:Gunnar Kangro#0
Gunnar Kangro (November 21, 1913 – December 25, 1975, Tartu) was an Estonian mathematician. He worked mainly on summation theory. He taught various courses on mathematical analysis, functional analysis and algebra in University of Tartu and he has written several university textbooks. == Biography == Gunnar Kangro was ...
Wikipedia:Guofang Wei#0
Guofang Wei is a mathematician in the field of differential geometry. She is a professor at the University of California, Santa Barbara. == Education == Wei earned a doctorate in mathematics from the State University of New York at Stony Brook in 1989, under the supervision of Detlef Gromoll. Her dissertation produced ...
Wikipedia:Gurcharan Singh Gill#0
Gurcharan Singh Gill (born c. 1935) is a genealogist and mathematician who is claimed to be the first Sikh convert to Mormonism. He served as the first mission president of the Bangalore India Mission. Gill is a retired math professor of the Emiritus Faculty of Brigham Young University. == Family == Gill was born into ...
Wikipedia:Gury Marchuk#0
Gury Ivanovich Marchuk (Russian: Гурий Иванович Марчук; 8 June 1925 – 24 March 2013) was a Soviet and Russian scientist in the fields of computational mathematics, and physics of atmosphere. Academician (since 1968); the President of the USSR Academy of Sciences in 1986–1991. Among his notable prizes are the USSR State...
Wikipedia:Gustaf Eneström#0
Gustaf Hjalmar Eneström (5 September 1852 – 10 June 1923) was a Swedish mathematician, statistician and historian of mathematics known for introducing the Eneström index, which is used to identify Euler's writings. Most historical scholars refer to the works of Euler by their Eneström index. Eneström received a Bachelo...
Wikipedia:Gustav Herglotz#0
Gustav Herglotz (2 February 1881 – 22 March 1953) was a German Bohemian physicist best known for his works on the theory of relativity and seismology. == Biography == Gustav Ferdinand Joseph Wenzel Herglotz was born in Volary num. 28 to a public notary Gustav Herglotz (also a Doctor of Law) and his wife Maria née Wacht...
Wikipedia:Gustav Lehrer#0
Gustav Lehrer (born 1947) is an Australian mathematician and researcher. He is known for his work in algebraic geometry, group theory, representation theory, and topology. Along with his doctoral student John Graham, Lehrer is credited with the discovery of cellular algebras. Lehrer is also noted for his parametrizatio...
Wikipedia:Gustave Dumas#0
Gustave Dumas (5 March 1872, L'Etivaz, Vaud, Switzerland – 11 July 1955) was a Swiss mathematician, specializing in algebraic geometry. Dumas received a baccalaureate degree from the University of Lausanne, then another baccalaureate degree from the Sorbonne, and in 1904 a doctoral degree from the Sorbonne with dissert...
Wikipedia:Gustavo Ponce#0
Gustavo A. Ponce (born 20 April 1952 in Venezuela) is a Venezuelan mathematician. == Education and career == Ponce graduated from the Central University of Venezuela with a bachelor's degree in 1976. At the Courant Institute of Mathematical Sciences of New York University he graduated with a master's degree in 1980 and...
Wikipedia:Gustavo Sannia#0
Gustavo Sannia (13 May 1875 – 21 December 1930) was an Italian mathematician working in differential geometry, projective geometry, and summation of series. He was the son of Achille Sannia, mathematician and senator of the Kingdom of Italy. == Biography == Gustavo Sannia was born in Naples. Sannia lived in Turin from ...
Wikipedia:Guy Hirsch#0
Guy Hirsch (20 September 1915 – 4 August 1993) was a Belgian mathematician and philosopher of mathematics, who worked on algebraic topology and epistemology of mathematics. He became a member of the Royal Flemish Academy of Belgium for Science and the Arts in 1973. He is known for the Leray–Hirsch theorem, a basic resu...
Wikipedia:Guy Terjanian#0
Guy Terjanian is a French mathematician who has worked on algebraic number theory. He achieved his Ph.D. under Claude Chevalley in 1970, and at that time published a counterexample to the original form of a conjecture of Emil Artin, which suitably modified had just been proved as the Ax-Kochen theorem. In 1977, he prov...
Wikipedia:Gwyneth Stallard#0
Gwyneth Mary Stallard is a British mathematician whose research concerns complex dynamics and the iteration of meromorphic functions. She is a professor of pure mathematics at the Open University. == Education and career == Stallard read mathematics at King's College, Cambridge, finishing in 1985, and earned her Ph.D. ...
Wikipedia:György Hajós#0
In graph theory, a branch of mathematics, the Hajós construction is an operation on graphs named after György Hajós (1961) that may be used to construct any critical graph or any graph whose chromatic number is at least some given threshold. == The construction == Let G and H be two undirected graphs, vw be an edge of ...
Wikipedia:Gábor J. Székely#0
Gábor J. Székely (Hungarian pronunciation: [ˈseːkɛj]; born February 4, 1947, in Budapest) is a Hungarian-American statistician/mathematician best known for introducing energy statistics (E-statistics). Examples include: the distance correlation, which is a bona fide dependence measure, equals zero exactly when the vari...
Wikipedia:Gábor Szegő#0
Gábor Szegő (Hungarian: [ˈɡaːbor ˈsɛɡøː]) (January 20, 1895 – August 7, 1985) was a Hungarian-American mathematician. He was one of the foremost mathematical analysts of his generation and made fundamental contributions to the theory of orthogonal polynomials and Toeplitz matrices building on the work of his contempora...
Wikipedia:Gérard Vergnaud#0
Gérard Vergnaud (8 February 1933 – 6 June 2021) was a French mathematician, philosopher, educator, and psychologist. He earned his doctorate from the International Center for Genetic Epistemology in Geneva under the supervision of Jean Piaget. Vergnaud was a professor emeritus of the Centre national de la recherche sci...
Wikipedia:Günter Harder#0
Günter Harder (born 14 March 1938 in Ratzeburg) is a German mathematician, specializing in arithmetic geometry and number theory. == Education == Harder studied mathematics and physics in Hamburg and Göttingen. Simultaneously with the Staatsexamen in 1964 in Hamburg, he received his doctoral degree (Dr. rer. nat.) unde...
Wikipedia:Günter Heimbeck#0
Günter Heimbeck (born 23 June 1946 in Gunzenhausen, Germany) is a German–Namibian retired professor of mathematics. His particular research interest is geometry; the Heimbeck Planes are named for him. Heimbeck probably is the first and only Namibian scholar to have a scientific sub-discipline carry his name. Heimbeck s...
Wikipedia:Günter Pilz#0
Günter Pilz (born 1945 in Bad Hall, Upper Austria) is professor of mathematics at the Johannes Kepler University (JKU) Linz. Until his retirement in 2013 he was the head of the Institute of Algebra. == Vita == After studying mathematics and physics at the University of Vienna (1963–1967) and his PhD (1967), Günter Pilz...
Wikipedia:H square#0
In mathematics and control theory, H2, or H-square is a Hardy space with square norm. It is a subspace of L2 space, and is thus a Hilbert space. In particular, it is a reproducing kernel Hilbert space. == On the unit circle == In general, elements of L2 on the unit circle are given by ∑ n = − ∞ ∞ a n e i n φ {\displays...
Wikipedia:H tree#0
In fractal geometry, the H tree is a fractal tree structure constructed from perpendicular line segments, each smaller by a factor of the square root of 2 from the next larger adjacent segment. It is so called because its repeating pattern resembles the letter "H". It has Hausdorff dimension 2, and comes arbitrarily cl...
Wikipedia:Hadamard product (entire functions)#0
In complex analysis, an entire function, also called an integral function, is a complex-valued function that is holomorphic on the whole complex plane. Typical examples of entire functions are polynomials and the exponential function, and any finite sums, products and compositions of these, such as the trigonometric fu...
Wikipedia:Hadamard's lemma#0
In mathematics, Hadamard's lemma, named after Jacques Hadamard, is essentially a first-order form of Taylor's theorem, in which we can express a smooth, real-valued function exactly in a convenient manner. == Statement == === Proof === == Consequences and applications == == See also == Bump function – Smooth and compac...
Wikipedia:Hafez Bashar al-Assad#0
Hafez Bashar al-Assad (Arabic: حافظ بشار الأسد; born 5 December 2001) is the eldest son of former Syrian president Bashar al-Assad and his wife Asma al-Assad. He was regarded as a potential successor to his father before the fall of the Assad regime on 8 December 2024. == Early and personal life == Assad was born in Da...
Wikipedia:Hafner–Sarnak–McCurley constant#0
The Hafner–Sarnak–McCurley constant is a mathematical constant representing the probability that the determinants of two randomly chosen square integer matrices will be relatively prime. The probability depends on the matrix size, n, in accordance with the formula D ( n ) = ∏ k = 1 ∞ { 1 − [ 1 − ∏ j = 1 n ( 1 − p k − j...
Wikipedia:Hafnian#0
In mathematics, the hafnian is a scalar function of a symmetric matrix that generalizes the permanent. The hafnian was named by Eduardo R. Caianiello "to mark the fruitful period of stay in Copenhagen (Hafnia in Latin)." == Definition == The hafnian of a 2 n × 2 n {\displaystyle 2n\times 2n} symmetric matrix A {\displa...
Wikipedia:Hagop Panossian#0
Hagop Panossian (Armenian: Յակոբ Փանոսեան; born 8 June 1946) is an Armenian aerospace engineer, academic and philanthropist with over 30 years of experience in rocket engine control and modeling, large space structures, actuation systems, failure detection, stochastic systems, vibration damping and optimal and adaptive...
Wikipedia:Hahn–Banach theorem#0
In functional analysis, the Hahn–Banach theorem is a central result that allows the extension of bounded linear functionals defined on a vector subspace of some vector space to the whole space. The theorem also shows that there are sufficient continuous linear functionals defined on every normed vector space in order t...
Wikipedia:Haidao Suanjing#0
Haidao Suanjing (海島算經; The Island Mathematical Manual) was written by the Chinese mathematician Liu Hui of the Three Kingdoms era (220–280) as an extension of chapter 9 of The Nine Chapters on the Mathematical Art. During the Tang dynasty, this appendix was taken out from The Nine Chapters on the Mathematical Art as a ...
Wikipedia:Haim Shapira#0
Haim-Moshe Shapira (Hebrew: חיים משה שפירא; 26 March 1902 – 16 July 1970) was a key Israeli politician in the early days of the state's existence. A signatory of Israel's declaration of independence, he served continuously as a minister from the country's foundation in 1948 until his death in 1970 apart from a brief sp...
Wikipedia:Hairy ball theorem#0
The hairy ball theorem of algebraic topology (sometimes called the hedgehog theorem in Europe) states that there is no nonvanishing continuous tangent vector field on even-dimensional n-spheres. For the ordinary sphere, or 2‑sphere, if f is a continuous function that assigns a vector in ℝ3 to every point p on a sphere ...
Wikipedia:Hajek projection#0
In statistics, Hájek projection of a random variable T {\displaystyle T} on a set of independent random vectors X 1 , … , X n {\displaystyle X_{1},\dots ,X_{n}} is a particular measurable function of X 1 , … , X n {\displaystyle X_{1},\dots ,X_{n}} that, loosely speaking, captures the variation of T {\displaystyle T} i...
Wikipedia:Hajer Bahouri#0
Hajer Bahouri (born 30 March 1958, in Tunis) is a Franco-Tunisian mathematician who is interested in partial differential equations. She is Director of Research at the National Center for Scientific Research and the Laboratory of Analysis and Applied Mathematics at the University Paris-Est-Créteil-Val-de-Marne. == Care...
Wikipedia:Half-transitive graph#0
In the mathematical field of graph theory, a half-transitive graph is a graph that is both vertex-transitive and edge-transitive, but not symmetric. In other words, a graph is half-transitive if its automorphism group acts transitively upon both its vertices and its edges, but not on ordered pairs of linked vertices. E...
Wikipedia:Halil Mete Soner#0
Halil Mete Soner is a Turkish American mathematician born in Ankara and is the Normal John Sollenberger Professor at Princeton University. Soner's research interests are nonlinear partial differential equations; asymptotic analysis of Ginzburg-Landau type systems, viscosity solutions, and mathematical finance. Currentl...
Wikipedia:Hall algebra#0
In mathematics, the Hall algebra is an associative algebra with a basis corresponding to isomorphism classes of finite abelian p-groups. It was first discussed by Steinitz (1901) but forgotten until it was rediscovered by Philip Hall (1959), both of whom published no more than brief summaries of their work. The Hall po...
Wikipedia:Hall–Littlewood polynomials#0
In mathematics, the Hall–Littlewood polynomials are symmetric functions depending on a parameter t and a partition λ. They are Schur functions when t is 0 and monomial symmetric functions when t is 1 and are special cases of Macdonald polynomials. They were first defined indirectly by Philip Hall using the Hall algebra...
Wikipedia:Hamlet Isakhanli#0
Hamlet Abdulla Oglu Isayev (Azerbaijani: Hamlet Abdulla oğlu İsayev, IPA: [hɑmˈlet ɑbdulˈlɑ oɣˈlu iˈsɑjef]; born March 1, 1948) is an Azerbaijani polymath, mathematician, professor, poet, translator, entrepreneur, author, and specialist in science, culture, and the history of education. He founded Khazar University and...
Wikipedia:Hamming space#0
In statistics and coding theory, a Hamming space is usually the set of all 2 N {\displaystyle 2^{N}} binary strings of length N, where different binary strings are considered to be adjacent when they differ only in one position. The total distance between any two binary strings is then the total number of positions at ...
Wikipedia:Hannes Keller#0
Hannes Keller (20 September 1934 – 1 December 2022(2022-12-01) (aged 88)) was a Swiss physicist, mathematician, deep diving pioneer, and entrepreneur. In 1962, he reached a depth of 1,000 feet (300 m) in open ocean. In the 1970s through the 1980s, Keller made himself a name as an entrepreneur in the IT industry. Keller...
Wikipedia:Hans Bruun Nielsen#0
Hans Bruun Nielsen (1943–2015) was a mathematician and Associate Professor of Technical University of Denmark specializing in Numerical analysis and the application of numerical methods. == Book == Eldén, Wittmeyer-Koch, Nielsen Introduction to Numerical Computation - analysis and MATLAB illustrations, 2004 Studentlitt...
Wikipedia:Hans Heilbronn#0
Hans Arnold Heilbronn (8 October 1908 – 28 April 1975) was a mathematician. == Education == He was born into a German-Jewish family. He was a student at the universities of Berlin, Freiburg and Göttingen, where he met Edmund Landau, who supervised his doctorate. In his thesis, he improved a result of Hoheisel on the si...
Wikipedia:Hans Munthe-Kaas#0
Hans Zanna Munthe-Kaas (born 28 March 1961) is a Norwegian mathematician working at UiT The Arctic University of Norway and the University of Bergen. The main focus of is work lies in the area of computational mathematics in the borderland between pure and applied mathematics and computer science. He took his PhD at th...
Wikipedia:Hans Rademacher#0
Hans Adolph Rademacher (German: [ˈʁaːdəmaxɐ]; 3 April 1892 – 7 February 1969) was a German-born American mathematician, known for work in mathematical analysis and number theory. == Biography == Rademacher received his Ph.D. in 1916 from Georg-August-Universität Göttingen; Constantin Carathéodory supervised his dissert...
Wikipedia:Hans Riesel#0
Hans Ivar Riesel (28 May 1929 in Stockholm – 21 December 2014) was a Swedish mathematician who discovered the 18th Mersenne prime in 1957 using the computer BESK: 23217-1, comprising 969 digits. He held the record for the largest known prime from 1957 to 1961, when Alexander Hurwitz discovered a larger one. Riesel also...
Wikipedia:Hans Rådström#0
Hans Vilhem Rådström (1919–1970) was a Swedish mathematician who worked on complex analysis, continuous groups, convex sets, set-valued analysis, and game theory. From 1952, he was lektor (assistant professor) at Stockholm University, and from 1969, he was Professor of Applied Mathematics at Linköping University. == Ea...
Wikipedia:Hans Zantema#0
Hans Zantema (1956 - 28 January 2025) was a Dutch mathematician and computer scientist, and professor at Radboud University in Nijmegen, known for his work on termination analysis. == Biography == Born in Goingarijp, the Netherlands, Zantema received his PhD in algebraic number theory in 1983 at the University of Amste...
Wikipedia:Hans-Bjørn Foxby#0
Hans-Bjørn Foxby (1947 – 2014) was a Danish mathematician, and a professor of mathematics at University of Copenhagen. Foxby classes are named after him. Foxby’s research was in commutative algebra. He died from Alzheimer's disease on 8 April 2014. == References ==
Wikipedia:Harald Helfgott#0
Harald Andrés Helfgott (born 25 November 1977) is a Peruvian mathematician working in number theory. Helfgott is a researcher (directeur de recherche) at the CNRS at the Institut Mathématique de Jussieu, Paris. He is best known for submitting a proof, now widely accepted but not yet fully published, of Goldbach's weak ...
Wikipedia:Harald Niederreiter#0
Harald G. Niederreiter (born June 7, 1944) is an Austrian mathematician known for his work in discrepancy theory, algebraic geometry, quasi-Monte Carlo methods, and cryptography. == Education and career == Niederreiter was born on June 7, 1944, in Vienna, and grew up in Salzburg. He began studying mathematics at the Un...
Wikipedia:Haran's diamond theorem#0
In mathematics, the Haran diamond theorem gives a general sufficient condition for a separable extension of a Hilbertian field to be Hilbertian. == Statement of the diamond theorem == Let K be a Hilbertian field and L a separable extension of K. Assume there exist two Galois extensions N and M of K such that L is conta...
Wikipedia:Hardy field#0
In mathematics, a Hardy field is a field consisting of germs of real-valued functions at infinity that are closed under differentiation. They are named after the English mathematician G. H. Hardy. == Definition == Initially at least, Hardy fields were defined in terms of germs of real functions at infinity. Specificall...
Wikipedia:Hardy notation#0
Big O notation is a mathematical notation that describes the limiting behavior of a function when the argument tends towards a particular value or infinity. Big O is a member of a family of notations invented by German mathematicians Paul Bachmann, Edmund Landau, and others, collectively called Bachmann–Landau notation...
Wikipedia:Haridatta#0
Haridatta (c. 683 CE) was an astronomer-mathematician of Kerala, India, who is believed to be the promulgator of the Parahita system of astronomical computations. This system of computations is widely popular in Kerala and Tamil Nadu. According to legends, Haridatta promulgated the Parahita system on the occasion of th...
Wikipedia:Harish-Chandra class#0
In mathematics, Harish-Chandra's class is a class of Lie groups used in representation theory. Harish-Chandra's class contains all semisimple connected linear Lie groups and is closed under natural operations, most importantly, the passage to Levi subgroups. This closure property is crucial for many inductive arguments...
Wikipedia:Harish-Chandra isomorphism#0
In mathematics, the Harish-Chandra isomorphism, introduced by Harish-Chandra (1951), is an isomorphism of commutative rings constructed in the theory of Lie algebras. The isomorphism maps the center Z ( U ( g ) ) {\displaystyle {\mathcal {Z}}(U({\mathfrak {g}}))} of the universal enveloping algebra U ( g ) {\displaysty...
Wikipedia:Harm Bart#0
Harm Bart (born 5 August 1942) is a Dutch mathematician, economist, and Professor of Mathematics at the Erasmus University Rotterdam, particularly known for his work on "factorization problems for matrix and operator functions." == Biography == Born in Enkhuizen, Bart started his study at the Vrije Universiteit in Amst...
Wikipedia:Harmonic differential#0
In mathematics, a real differential one-form ω on a surface is called a harmonic differential if ω and its conjugate one-form, written as ω∗, are both closed. == Explanation == Consider the case of real one-forms defined on a two dimensional real manifold. Moreover, consider real one-forms that are the real parts of co...
Wikipedia:Harmonic polynomial#0
In mathematics, a polynomial p {\displaystyle p} whose Laplacian is zero is termed a harmonic polynomial. The harmonic polynomials form a subspace of the vector space of polynomials over the given field. In fact, they form a graded subspace. For the real field ( R {\displaystyle \mathbb {R} } ), the harmonic polynomial...
Wikipedia:Harold Scott MacDonald Coxeter#0
Harold Scott MacDonald "Donald" Coxeter (9 February 1907 – 31 March 2003) was a British-Canadian geometer and mathematician. He is regarded as one of the greatest geometers of the 20th century. Coxeter was born in England and educated at the University of Cambridge, with student visits to Princeton University. He worke...
Wikipedia:Harry Dym#0
Harry Dym (Hebrew: הארי דים; January 26, 1938 – July 18, 2024) was an Israeli-born American mathematician at the Weizmann Institute of Science, Israel. Dym's research interests included operator theory, interpolation theory, and inverse problems. Dym earned his Ph.D. in 1965 from the Massachusetts Institute of Technolo...
Wikipedia:Harry Trentelman#0
Harry Trentelman is a full professor in Systems and Control at the Johann Bernoulli Institute for Mathematics and Computer Science of the University of Groningen. From 1985 to 1991 he served as an assistant professor and as an associate professor at the Mathematics Department of the Eindhoven University of Technology, ...
Wikipedia:Hartley kernel#0
In mathematics, the Hartley transform (HT) is an integral transform closely related to the Fourier transform (FT), but which transforms real-valued functions to real-valued functions. It was proposed as an alternative to the Fourier transform by Ralph V. L. Hartley in 1942, and is one of many known Fourier-related tran...
Wikipedia:Hartman–Grobman theorem#0
In mathematics, in the study of dynamical systems, the Hartman–Grobman theorem or linearisation theorem is a theorem about the local behaviour of dynamical systems in the neighbourhood of a hyperbolic equilibrium point. It asserts that linearisation—a natural simplification of the system—is effective in predicting qual...
Wikipedia:Hasan Abu-Libdeh#0
Hasan Abu-Libdeh (Arabic: حسن أبو لبدة; born 1954) is a Palestinian statistician and politician, who founded the Palestinian Central Bureau of Statistics in 1993. He served in the Palestinian National Authority as Minister of Labour, Social Affairs, and National Economy. == Biography == Hasan Abu-Libdeh was born in Arr...
Wikipedia:Hasan Tahsini#0
Hoxhë Hasan Tahsini or simply Hoxha Tahsim (7 April 1811 – 3 July 1881) was an Albanian alim, astronomer, mathematician and philosopher. He was the first rector of Istanbul University and one of the founders of the Central Committee for Defending Albanian Rights. Tahsini is regarded as one of the most prominent scholar...
Wikipedia:Hasibun Naher#0
Hasibun Naher is a Bangladeshi applied mathematics researcher and educator. In February 2018, she was one of five young women from developing countries to receive the OWSD-Elsevier Foundation Award. Her research has included the application of mathematics to tsunamis in order to improve predictions of how they develop....
Wikipedia:Hassan Ugail#0
Hassan Ugail (born 24 September 1970) is a Maldivian mathematician and computer scientist. He is a professor of visual computing at the Faculty of Engineering and Informatics at the University of Bradford. == Early life and education == Hassan Ugail was born in Hithadhoo, Addu City, in Seenu Atoll, Maldives. In 1987, h...
Wikipedia:Hasse derivative#0
In mathematics, the Hasse derivative is a generalisation of the derivative which allows the formulation of Taylor's theorem in coordinate rings of algebraic varieties. == Definition == Let k[X] be a polynomial ring over a field k. The r-th Hasse derivative of Xn is D ( r ) X n = ( n r ) X n − r , {\displaystyle D^{(r)}...
Wikipedia:Hasse–Schmidt derivation#0
In mathematics, a Hasse–Schmidt derivation is an extension of the notion of a derivation. The concept was introduced by Schmidt & Hasse (1937). == Definition == For a (not necessarily commutative nor associative) ring B and a B-algebra A, a Hasse–Schmidt derivation is a map of B-algebras D : A → A [ [ t ] ] {\displayst...
Wikipedia:Hat notation#0
A "hat" (circumflex (ˆ)), placed over a symbol is a mathematical notation with various uses. == Estimated value == In statistics, a circumflex (ˆ), called a "hat", is used to denote an estimator or an estimated value. For example, in the context of errors and residuals, the "hat" over the letter ε ^ {\displaystyle {\ha...