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Wikipedia:Eric de Sturler#0 | Eric de Sturler (born 15 January 1966, Groningen) is a Professor of Mathematics at Virginia Tech in Blacksburg, Virginia. He is on the editorial board of Applied Numerical Mathematics and the Open Applied Mathematics Journal. Prof. de Sturler completed his Ph.D. under the direction of Henk van der Vorst at Technische U... |
Wikipedia:Eric-Jan Wagenmakers#0 | Eric-Jan Wagenmakers (born May 21, 1972) is a Dutch mathematical psychologist. He is a professor at the Methodology Unit in the Department of Psychology at the University of Amsterdam (UvA). Since 2012, he has also been Professor of Neurocognitive Modeling: Interdisciplinary Integration at UvA's Faculty of Social and B... |
Wikipedia:Erik Albert Holmgren#0 | Erik Albert Holmgren (7 July 1872 – 18 March 1943) was a Swedish mathematician known for contributions to partial differential equations. Holmgren's uniqueness theorem is named after him. Torsten Carleman was one of his students. His father was the mathematician Hjalmar Holmgren (1822 – 1885) and his siblings include t... |
Wikipedia:Erland Samuel Bring#0 | Erland Samuel Bring (19 August 1736 – 20 May 1798) was a Swedish mathematician. Bring studied at Lund University between 1750 and 1757. In 1762 he obtained a position of a reader in history and was promoted to professor in 1779. At Lund he wrote eight volumes of mathematical work in the fields of algebra, geometry, ana... |
Wikipedia:Ermil Pangrati#0 | Ermil A. Pangrati (July 21, 1864 in Iaşi – September 19, 1931 in Bucharest) was a Romanian politician, engineer, mathematician, historian of science and architect. == Career == He was a professor of geometry at the University of Bucharest and director of the Ion Mincu University of Architecture and Urban Planning. A me... |
Wikipedia:Ernest Vessiot#0 | Ernest Vessiot (French: [vesjo]; 8 March 1865 – 17 October 1952) was a French mathematician. He was born in Marseille, France, and died in La Bauche, Savoie, France. He entered the École Normale Supérieure in 1884. He was Maître de Conférences at Lille University of Science and Technology in 1892-1893, then moved at To... |
Wikipedia:Ernesto Lupercio#0 | Ernesto Lupercio is a Mexican mathematician. He was awarded the ICTP Ramanujan Prize in 2009, "for his outstanding contributions to algebraic topology, geometry and mathematical physics." Lupercio earned a Ph.D. from Stanford University in 1997 under the guidance of Ralph L. Cohen. He was a member of the Global Young A... |
Wikipedia:Ernst Anton Henrik Sinding#0 | Ernst Anton Henrik Sinding (8 December 1839 – 11 January 1924) was a Norwegian school director. == Personal life == He was born in Larvik as a son of vicar Otto Ludvig Sinding (1809–1890) and Dorothea Magdalene Lammers. He was a brother of Elisabeth Sinding and Gustav Adolf Sinding, a nephew of Gustav Adolph Lammers an... |
Wikipedia:Ernst Hölder#0 | Ludwig Otto Hölder (December 22, 1859 – August 29, 1937) was a German mathematician born in Stuttgart. == Early life and education == Hölder was the youngest of three sons of professor Otto Hölder (1811–1890), and a grandson of professor Christian Gottlieb Hölder (1776–1847); his two brothers also became professors. He... |
Wikipedia:Ernst Kolman#0 | Ernst Kolman or Arnošt Yaromirovich Kolman (Russian: Арношт Яромирович Кольман); 6 December 1892 – 22 January 1979) was a Marxist philosopher, who renounced his former activities as an ideological enforcer in Soviet science. At the age of 84 he sought asylum in Sweden and published a retraction of his previous activity... |
Wikipedia:Ernst Sejersted Selmer#0 | Ernst Sejersted Selmer (11 February 1920 – 8 November 2006) was a Norwegian mathematician, who worked in number theory, as well as a cryptologist. The Selmer group of an Abelian variety is named after him. His primary contributions to mathematics reside within the field of diophantine equations. He started working as a... |
Wikipedia:Ernst Snapper#0 | Ernst Snapper (December 2, 1913, Groningen – February 5, 2011, Chapel Hill, North Carolina) was a Dutch-American mathematician, known for his research in "commutative algebra, algebraic geometry, cohomology of groups, character theory, and combinatorics." == Biography == Ernst Snapper, born to a Jewish family in the Ne... |
Wikipedia:Ernst Specker#0 | Ernst Paul Specker (11 February 1920, Zürich – 10 December 2011, Zürich) was a Swiss mathematician. Much of his most influential work was on Quine's New Foundations, a set theory with a universal set, but he is most famous for the Kochen–Specker theorem in quantum mechanics, showing that certain types of hidden-variabl... |
Wikipedia:Ernst Witt#0 | Ernst Witt (26 June 1911 – 3 July 1991) was a German mathematician, one of the leading algebraists of his time. == Biography == Witt was born on the island of Alsen, then a part of the German Empire. Shortly after his birth, his parents moved the family to China to work as missionaries, and he did not return to Europe ... |
Wikipedia:Erwin Engeler#0 | Erwin Engeler (born 13 February 1930) is a Swiss mathematician who did pioneering work on the interrelations between logic, computer science and scientific computation in the 20th century. He was one of Paul Bernays' students at the ETH Zürich. After completing his doctorate in 1958, Engeler spent fourteen years in the... |
Wikipedia:Erwin Kreyszig#0 | Erwin Otto Kreyszig (6 January 1922 in Pirna, Germany – 12 December 2008) was a German Canadian applied mathematician and the Professor of Mathematics at Carleton University in Ottawa, Ontario, Canada. He was a pioneer in the field of applied mathematics: non-wave replicating linear systems. He was also a distinguished... |
Wikipedia:Esprit Jouffret#0 | Esprit Jouffret (15 March 1837 – 6 November 1904) was a French artillery officer, insurance actuary and mathematician, author of Traité élémentaire de géométrie à quatre dimensions (Elementary Treatise on the Geometry of Four Dimensions, 1903), a popularization of Henri Poincaré's Science and Hypothesis in which Jouffr... |
Wikipedia:Esther Arkin#0 | Esther M. (Estie) Arkin (Hebrew: אסתר ארקין) is an Israeli–American mathematician and computer scientist whose research interests include operations research, computational geometry, combinatorial optimization, and the design and analysis of algorithms. She is a professor of applied mathematics and statistics at Stony ... |
Wikipedia:Esther Seiden#0 | Esther Seiden (Hebrew: אסתר זיידן; March 9, 1908 – June 3, 2014) was a mathematical statistician known for her research on the design of experiments and combinatorial design theory. In the study of finite geometry, she introduced the concept of the complement of an oval, and her work with Rita Zemach on orthogonal arra... |
Wikipedia:Esther Szekeres#0 | Esther Szekeres, also known as Esther Klein (Hungarian: Klein Eszter; 20 February 1910 – 28 August 2005) was a Hungarian–Australian mathematician. == Biography == Esther Klein was born to Ignaz Klein in a Jewish family in Budapest, Kingdom of Hungary in 1910. As a young physics student in Budapest, Klein was a member o... |
Wikipedia:Eta invariant#0 | In mathematics, the eta invariant of a self-adjoint elliptic differential operator on a compact manifold is formally the number of positive eigenvalues minus the number of negative eigenvalues. In practice both numbers are often infinite so are defined using zeta function regularization. It was introduced by Atiyah, Pa... |
Wikipedia:Ethel Raybould#0 | Ethel Harriet Raybould B.A., M.A. (1899–1987), was the University of Queensland's first female Mathematics Lecturer who taught at the University from 1928 to 1955. She was one of the University's most generous benefactors with her bequest to the University of almost $1 million upon her death supporting fellowships, pri... |
Wikipedia:Euclidean space#0 | Euclidean space is the fundamental space of geometry, intended to represent physical space. Originally, in Euclid's Elements, it was the three-dimensional space of Euclidean geometry, but in modern mathematics there are Euclidean spaces of any positive integer dimension n, which are called Euclidean n-spaces when one w... |
Wikipedia:Euclidean vector#0 | In mathematics, physics, and engineering, a Euclidean vector or simply a vector (sometimes called a geometric vector or spatial vector) is a geometric object that has magnitude (or length) and direction. Euclidean vectors can be added and scaled to form a vector space. A vector quantity is a vector-valued physical quan... |
Wikipedia:Eugene Dynkin#0 | Eugene Borisovich Dynkin (Russian: Евгений Борисович Дынкин; 11 May 1924 – 14 November 2014) was a Soviet and American mathematician. He made contributions to the fields of probability and algebra, especially semisimple Lie groups, Lie algebras, and Markov processes. The Dynkin diagram, the Dynkin system, and Dynkin's ... |
Wikipedia:Eugene P. Northrop#0 | Eugene P. Northrop (1908–1969) was an American research mathematician and a math popularizer. Northrop received his PhD from Yale University in 1934 with thesis advisor Einar Hille. Northrop held the William Rainey Harper Chair of Mathematics at the University of Chicago, and frequently served in administrative roles a... |
Wikipedia:Eugenia Malinnikova#0 | Eugenia Malinnikova (born 23 April 1974) is a mathematician, winner of the 2017 Clay Research Award which she shared with Aleksandr Logunov "in recognition of their introduction of a novel geometric combinatorial method to study doubling properties of solutions to elliptic eigenvalue problems". == Education and career ... |
Wikipedia:Eugenia O'Reilly-Regueiro#0 | Eugenia O'Reilly-Regueiro is a Mexican mathematician specializing in algebraic combinatorics and particular in the symmetries of combinatorial designs, circulant graphs, and abstract polytopes. She is a researcher in the Institute of Mathematics of the National Autonomous University of Mexico (UNAM). == Education and c... |
Wikipedia:Eugenie Maria Morenus#0 | Eugenie Maria Morenus (February 21, 1881 – October 15, 1966) was an American mathematician and college professor and one of the few women to earn a PhD in math before World War II. She taught Latin and mathematics at Sweet Briar College from 1909 to 1946. == Early life and education == Morenus was born in Cleveland, Ne... |
Wikipedia:Eugenius Nulty#0 | Eugenius Nulty (1790 – July 3, 1871) was an Irish born American mathematician of the 19th century. He served on the faculty of Dickinson College from 1814 to 1816, and later taught and tutored prominent Philadelphians, including the brothers Mathew Carey Lea and Henry Charles Lea. == Career == After arriving in the Uni... |
Wikipedia:Eugénie Hunsicker#0 | Eugénie Lee Hunsicker is an American mathematician who works at Loughborough University in England as a senior lecturer in pure mathematics and as director of equality and diversity for the school of science. Her research in pure mathematics has concerned topics "at the intersection of analysis, geometry and topology";... |
Wikipedia:Euler product#0 | In number theory, an Euler product is an expansion of a Dirichlet series into an infinite product indexed by prime numbers. The original such product was given for the sum of all positive integers raised to a certain power as proven by Leonhard Euler. This series and its continuation to the entire complex plane would l... |
Wikipedia:Euler's formula#0 | Euler's formula, named after Leonhard Euler, is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function. Euler's formula states that, for any real number x, one has e i x = cos x + i sin x , {\displaystyle e^{i... |
Wikipedia:Euler's identity#0 | In mathematics, Euler's identity (also known as Euler's equation) is the equality e i π + 1 = 0 {\displaystyle e^{i\pi }+1=0} where e {\displaystyle e} is Euler's number, the base of natural logarithms, i {\displaystyle i} is the imaginary unit, which by definition satisfies i 2 = − 1 {\displaystyle i^{2}=-1} , and π {... |
Wikipedia:Euler's totient function#0 | In number theory, Euler's totient function counts the positive integers up to a given integer n that are relatively prime to n. It is written using the Greek letter phi as φ ( n ) {\displaystyle \varphi (n)} or ϕ ( n ) {\displaystyle \phi (n)} , and may also be called Euler's phi function. In other words, it is the num... |
Wikipedia:Euler–Maclaurin formula#0 | In mathematics, the Euler–Maclaurin formula is a formula for the difference between an integral and a closely related sum. It can be used to approximate integrals by finite sums, or conversely to evaluate finite sums and infinite series using integrals and the machinery of calculus. For example, many asymptotic expansi... |
Wikipedia:Eureka (University of Cambridge magazine)#0 | Eureka is a journal published annually by The Archimedeans, the mathematical society of Cambridge University. It is one of the oldest recreational mathematics publications still in existence. Eureka includes many mathematical articles on a variety of different topics – written by students and mathematicians from all ov... |
Wikipedia:European Study Groups with Industry#0 | A European Study Group with Industry (ESGI) is usually a week-long meeting where applied mathematicians work on problems presented by industry and research centres. The aim of the meeting is to solve or at least make progress on the problems. The study group concept originated in Oxford, in 1968 (initiated by Leslie Fo... |
Wikipedia:Eustachy Żyliński#0 | Eustachy Karol Żyliński (19 September 1889 – 4 July 1954) was a Polish mathematician and university professor known for his work on number theory, algebra, and logic. He was a member of the Lwów School of Mathematics. == Biography == === Early life and career (1889–1919) === Żyliński was born in to a landless noble fam... |
Wikipedia:Eva Vedel Jensen#0 | Eva Bjørn Vedel Jensen (born 14 June 1951) is a Danish mathematician and statistician known for her work in spatial statistics, stereology, stochastic geometry, and medical imaging. She is a professor emeritus in the Department of Mathematical Sciences at Aarhus University. == Education and career == After earning a ma... |
Wikipedia:Evarist Giné#0 | Evarist Giné-Masdéu (July 31, 1944 – March 13, 2015), or simply Evarist Giné, was a Catalan mathematician and statistician. He is known for his pioneering works in probability in Banach spaces, empirical process theory, U-statistics and processes, and nonparametric statistics. == Education and career == Giné was born i... |
Wikipedia:Eve Oja#0 | Eve Oja (10 October 1948 – 27 January 2019) was an Estonian mathematician specializing in functional analysis. She was a professor at the University of Tartu. == Early life and education == Oja was born in Tallinn and studied at the Tartu State University (now the University of Tartu), completing her undergraduate stud... |
Wikipedia:Eve Torrence#0 | Eve Alexandra Littig Torrence (born 1963) is an American mathematician, a professor emerita of mathematics at Randolph–Macon College, and a former president of mathematics society Pi Mu Epsilon. She is known for her award-winning writing and books in mathematics, for her mathematical origami art, and for her efforts de... |
Wikipedia:Evectant#0 | In mathematical invariant theory, an evectant is a contravariant constructed from an invariant by acting on it with a differential operator called an evector. Evectants and evectors were introduced by Sylvester (1854, p.95). == References == Sylvester, James Joseph (1853), "On the calculus of forms, otherwise the theor... |
Wikipedia:Evelyn Buckwar#0 | Evelyn Buckwar is a German mathematician specializing in stochastic differential equations. She is Professor for Stochastics at the Johannes Kepler University Linz in Austria. == Education == Buckwar earned a diploma in mathematics in 1992 from the Free University of Berlin, and completed her doctorate there in 1997. H... |
Wikipedia:Evelyn Prescott Wiggin#0 | Evelyn Prescott Wiggin (1900–1964) was an American mathematician and university professor. She was one of the few women to earn a PhD in mathematics in the United States before World War II. == Early life == Evelyn Prescott Wiggin was born March 1, 1900, in Stratham, New Hampshire, to Margaret Prescott Green and George... |
Wikipedia:Evgenii Landis#0 | Evgenii Mikhailovich Landis (Russian: Евге́ний Миха́йлович Ла́ндис, Yevgeny Mikhaylovich Landis; 6 October 1921 – 12 December 1997) was a Soviet mathematician who worked mainly on partial differential equations. == Life == Landis was born in Kharkiv, Ukrainian SSR, Soviet Union. He was Jewish. He studied and worked at ... |
Wikipedia:Evgenii Nikishin#0 | Evgenii Mikhailovich Nikishin (Евгений Михайлович Никишин; 23 June 1945, in Penza Oblast – 17 December 1986) was a Russian mathematician, who specialized in harmonic analysis. == Biography == Nikishin, at age of 24, earned his candidate doctorate at Moscow State University, becoming the youngest Candidate Doctorate in ... |
Wikipedia:Evgeny Golod#0 | Evgenii Solomonovich Golod (Russian: Евгений Соломонович Голод, 21 October 1935 – 5 July 2018) was a Russian mathematician who proved the Golod–Shafarevich theorem on class field towers. As an application, he gave a negative solution to the Kurosh–Levitzky problem on the nilpotency of finitely generated nil algebras, a... |
Wikipedia:Evgeny Moiseev#0 | Evgeny Moiseev (Russian: Евге́ний Моисе́ев, IPA: [evgeˈnij moiˈsejev] ; 7 March 1948 – 25 December 2022) was a Russian mathematician, academician of the Russian Academy of Sciences, Dean of the Faculty of Computational Mathematics and Cybernetics at Moscow State University (MSU CMC), Head of the Department of Functiona... |
Wikipedia:Evgeny Tyrtyshnikov#0 | Evgeny Tyrtyshnikov (Russian: Евге́ний Евге́ньевич Тырты́шников) (born 1955) is a Russian mathematician, Dr.Sc., Professor, Academician of the Russian Academy of Sciences, a professor at the Faculty of Computer Science at the Moscow State University. He graduated from the faculty MSU CMC (1977). Has been working at Mos... |
Wikipedia:Ewa Ligocka#0 | Ewa Ligocka (13 October 1947 – 28 October 2022) was a Polish mathematician specializing in complex analysis, and a political activist. == Early life and education == Ligocka was born in Katowice on 13 October 1947, the daughter of Polish photography critic and historian Alfred Ligocki. As a high school student under th... |
Wikipedia:Examples of anonymous functions#0 | In computer programming, an anonymous function (function literal, expression or block) is a function definition that is not bound to an identifier. Anonymous functions are often arguments being passed to higher-order functions or used for constructing the result of a higher-order function that needs to return a functio... |
Wikipedia:Exceptional Lie algebra#0 | In mathematics, an exceptional Lie algebra is a complex simple Lie algebra whose Dynkin diagram is of exceptional (nonclassical) type. There are exactly five of them: g 2 , f 4 , e 6 , e 7 , e 8 {\displaystyle {\mathfrak {g}}_{2},{\mathfrak {f}}_{4},{\mathfrak {e}}_{6},{\mathfrak {e}}_{7},{\mathfrak {e}}_{8}} ; their r... |
Wikipedia:Exceptional isomorphism#0 | In mathematics, an exceptional isomorphism, also called an accidental isomorphism, is an isomorphism between members ai and bj of two families, usually infinite, of mathematical objects, which is incidental, in that it is not an instance of a general pattern of such isomorphisms. These coincidences are at times conside... |
Wikipedia:Exeter Mathematics School#0 | Exeter Mathematics School is a maths school located in Exeter in the English county of Devon. It opened in September 2014 under the free schools initiative and is sponsored by Exeter College and the University of Exeter. It is intended to be a regional centre of excellence in mathematics for Cornwall, Devon, Dorset and... |
Wikipedia:Exhaustion by compact sets#0 | In mathematics, especially general topology and analysis, an exhaustion by compact sets of a topological space X {\displaystyle X} is a nested sequence of compact subsets K i {\displaystyle K_{i}} of X {\displaystyle X} (i.e. K 1 ⊆ K 2 ⊆ K 3 ⊆ ⋯ {\displaystyle K_{1}\subseteq K_{2}\subseteq K_{3}\subseteq \cdots } ), su... |
Wikipedia:Expander mixing lemma#0 | The expander mixing lemma intuitively states that the edges of certain d {\displaystyle d} -regular graphs are evenly distributed throughout the graph. In particular, the number of edges between two vertex subsets S {\displaystyle S} and T {\displaystyle T} is always close to the expected number of edges between them i... |
Wikipedia:Exponentially equivalent measures#0 | In mathematics, exponential equivalence of measures is how two sequences or families of probability measures are "the same" from the point of view of large deviations theory. == Definition == Let ( M , d ) {\displaystyle (M,d)} be a metric space and consider two one-parameter families of probability measures on M {\dis... |
Wikipedia:Exposed point#0 | In mathematics, an exposed point of a convex set C {\displaystyle C} is a point x ∈ C {\displaystyle x\in C} at which some continuous linear functional attains its strict maximum over C {\displaystyle C} . Such a functional is then said to expose x {\displaystyle x} . There can be many exposing functionals for x {\disp... |
Wikipedia:Expression (mathematics)#0 | In mathematics, an expression is a written arrangement of symbols following the context-dependent, syntactic conventions of mathematical notation. Symbols can denote numbers, variables, operations, and functions. Other symbols include punctuation marks and brackets, used for grouping where there is not a well-defined o... |
Wikipedia:Exterior calculus identities#0 | This article summarizes several identities in exterior calculus, a mathematical notation used in differential geometry. == Notation == The following summarizes short definitions and notations that are used in this article. === Manifold === M {\displaystyle M} , N {\displaystyle N} are n {\displaystyle n} -dimensional s... |
Wikipedia:Exterior derivative#0 | On a differentiable manifold, the exterior derivative extends the concept of the differential of a function to differential forms of higher degree. The exterior derivative was first described in its current form by Élie Cartan in 1899. The resulting calculus, known as exterior calculus, allows for a natural, metric-ind... |
Wikipedia:Exterior dimension#0 | In geometry, exterior dimension is a type of dimension that can be used to characterize the scaling behavior of "fat fractals". A fat fractal is defined to be a subset of Euclidean space such that, for every point p {\displaystyle p} of the set and every sufficiently small number ϵ {\displaystyle \epsilon } , the ball ... |
Wikipedia:External ray#0 | An external ray is a curve that runs from infinity toward a Julia or Mandelbrot set. Although this curve is only rarely a half-line (ray) it is called a ray because it is an image of a ray. External rays are used in complex analysis, particularly in complex dynamics and geometric function theory. == History == External... |
Wikipedia:Extraneous and missing solutions#0 | In mathematics, an extraneous solution (or spurious solution) is one which emerges from the process of solving a problem but is not a valid solution to it. A missing solution is a valid one which is lost during the solution process. Both situations frequently result from performing operations that are not invertible fo... |
Wikipedia:Extreme point#0 | In mathematics, an extreme point of a convex set S {\displaystyle S} in a real or complex vector space is a point in S {\displaystyle S} that does not lie in any open line segment joining two points of S . {\displaystyle S.} The extreme points of a line segment are called its endpoints. In linear programming problems, ... |
Wikipedia:Extreme set#0 | In mathematics, most commonly in convex geometry, an extreme set or face of a set C ⊆ V {\displaystyle C\subseteq V} in a vector space V {\displaystyle V} is a subset F ⊆ C {\displaystyle F\subseteq C} with the property that if for any two points x , y ∈ C {\displaystyle x,y\in C} some in-between point z = θ x + ( 1 − ... |
Wikipedia:E∞-operad#0 | In mathematics, an operad is a structure that consists of abstract operations, each one having a fixed finite number of inputs (arguments) and one output, as well as a specification of how to compose these operations. Given an operad O {\displaystyle O} , one defines an algebra over O {\displaystyle O} to be a set toge... |
Wikipedia:F. D. C. Willard#0 | F. D. C. Willard (1968–1982) was the pen name of Chester, a Siamese cat, used on several papers written by his owner, J. H. Hetherington, in physics journals. On one occasion, he was listed as the sole author. == Background == In 1975, the American physicist and mathematician Jack H. Hetherington of Michigan State Univ... |
Wikipedia:FGLM algorithm#0 | FGLM is one of the main algorithms in computer algebra, named after its designers, Faugère, Gianni, Lazard and Mora. They introduced their algorithm in 1993. The input of the algorithm is a Gröbner basis of a zero-dimensional ideal in the ring of polynomials over a field with respect to a monomial order and a second mo... |
Wikipedia:FL (complexity)#0 | In computational complexity theory, the complexity class FL is the set of function problems which can be solved by a deterministic Turing machine in a logarithmic amount of memory space. As in the definition of L, the machine reads its input from a read-only tape and writes its output to a write-only tape; the logarith... |
Wikipedia:FOIL method#0 | In elementary algebra, FOIL is a mnemonic for the standard method of multiplying two binomials—hence the method may be referred to as the FOIL method. The word FOIL is an acronym for the four terms of the product: First ("first" terms of each binomial are multiplied together) Outer ("outside" terms are multiplied—that ... |
Wikipedia:FP (complexity)#0 | In computational complexity theory, the complexity class FP is the set of function problems that can be solved by a deterministic Turing machine in polynomial time. It is the function problem version of the decision problem class P. Roughly speaking, it is the class of functions that can be efficiently computed on clas... |
Wikipedia:Fa-Yueh Wu#0 | Fa-Yueh Wu (January 5, 1932 – January 21, 2020) was a Chinese-born theoretical physicist, mathematical physicist, and mathematician who studied and contributed to solid-state physics and statistical mechanics. == Life == === Early stage === Born on January 5, 1932, in Shimen County, Hunan Province, Republic of China, w... |
Wikipedia:Fabio Toninelli#0 | Fabio Toninelli (born 1975) is an Italian mathematician who works in probability theory, stochastic processes and probabilistic aspects of mathematical physics. == Education == He obtained his PhD in physics, in 2003, from Scuola Normale Superiore di Pisa. == Career == Between 2004 and 2020 he was senior researcher at ... |
Wikipedia:Factorization#0 | In mathematics, factorization (or factorisation, see English spelling differences) or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind. For example, 3 × 5 is an integer factorization of 15, and (x − 2)(x + 2) is a ... |
Wikipedia:Factorization algebra#0 | In mathematics and mathematical physics, a factorization algebra is an algebraic structure first introduced by Beilinson and Drinfel'd in an algebro-geometric setting as a reformulation of chiral algebras, and also studied in a more general setting by Costello and Gwilliam to study quantum field theory. == Definition =... |
Wikipedia:Factorization of polynomials#0 | In mathematics and computer algebra, factorization of polynomials or polynomial factorization expresses a polynomial with coefficients in a given field or in the integers as the product of irreducible factors with coefficients in the same domain. Polynomial factorization is one of the fundamental components of computer... |
Wikipedia:Factorization of polynomials over finite fields#0 | In mathematics and computer algebra the factorization of a polynomial consists of decomposing it into a product of irreducible factors. This decomposition is theoretically possible and is unique for polynomials with coefficients in any field, but rather strong restrictions on the field of the coefficients are needed to... |
Wikipedia:Faddeev–LeVerrier algorithm#0 | In mathematics (linear algebra), the Faddeev–LeVerrier algorithm is a recursive method to calculate the coefficients of the characteristic polynomial p A ( λ ) = det ( λ I n − A ) {\displaystyle p_{A}(\lambda )=\det(\lambda I_{n}-A)} of a square matrix, A, named after Dmitry Konstantinovich Faddeev and Urbain Le Verrie... |
Wikipedia:Faithful representation#0 | In mathematics, especially in an area of abstract algebra known as representation theory, a faithful representation ρ of a group G on a vector space V is a linear representation in which different elements g of G are represented by distinct linear mappings ρ(g). In more abstract language, this means that the group homo... |
Wikipedia:Falling and rising factorials#0 | In mathematics, the falling factorial (sometimes called the descending factorial, falling sequential product, or lower factorial) is defined as the polynomial ( x ) n = x n _ = x ( x − 1 ) ( x − 2 ) ⋯ ( x − n + 1 ) ⏞ n factors = ∏ k = 1 n ( x − k + 1 ) = ∏ k = 0 n − 1 ( x − k ) . {\displaystyle {\begin{aligned}(x)_{n}=... |
Wikipedia:Faltings' annihilator theorem#0 | In abstract algebra (specifically commutative ring theory), Faltings' annihilator theorem states: given a finitely generated module M over a Noetherian commutative ring A and ideals I, J, the following are equivalent: depth M p + ht ( I + p ) / p ≥ n {\displaystyle \operatorname {depth} M_{\mathfrak {p}}+\operatorn... |
Wikipedia:Fang Liu (statistician)#0 | Fang Liu is a Chinese-American statistician and data scientist whose research topics include differential privacy, data synthesis, trustworthy statistical learning, Bayesian statistics, regularization, missing data, and applications in biostatistics. She is a Notre Dame Collegiate professor in the Department of Applied... |
Wikipedia:Fangcheng (mathematics)#0 | Fangcheng (sometimes written as fang-cheng or fang cheng) (Chinese: 方程; pinyin: fāngchéng) is the title of the eighth chapter of the Chinese mathematical classic Jiuzhang suanshu (The Nine Chapters on the Mathematical Art) composed by several generations of scholars who flourished during the period from the 10th to the... |
Wikipedia:Fatma Moalla#0 | Fatma Moalla (born January 14, 1939) is a Tunisian mathematician who has published research on Finsler spaces and geometry and worked as an assistant at Faculté des Sciences Mathématique, Physiques et Naturelles. The International Fatma Moalla Award for the Popularization of Mathematics is now given in her honor. == Bi... |
Wikipedia:Fatos Kongoli#0 | Fatos Kongoli (born January 12, 1944) is an Albanian novelist. == Biography == Kongoli was born and raised in Elbasan and studied at the Qemal Stafa High School, in Tirana, Albania. He studied mathematics at university in China during the Sino-Albanian split. During the communist era in Albania, he was employed as a ma... |
Wikipedia:Faugère's F4 and F5 algorithms#0 | In computer algebra, the Faugère F4 algorithm, by Jean-Charles Faugère, computes the Gröbner basis of an ideal of a multivariate polynomial ring. The algorithm uses the same mathematical principles as the Buchberger algorithm, but computes many normal forms in one go by forming a generally sparse matrix and using fast ... |
Wikipedia:Faulhaber's formula#0 | In mathematics, Faulhaber's formula, named after the early 17th century mathematician Johann Faulhaber, expresses the sum of the p-th powers of the first n positive integers ∑ k = 1 n k p = 1 p + 2 p + 3 p + ⋯ + n p {\displaystyle \sum _{k=1}^{n}k^{p}=1^{p}+2^{p}+3^{p}+\cdots +n^{p}} as a polynomial in n. In modern not... |
Wikipedia:Faustina Pignatelli#0 | Faustina Pignatelli Carafa, princess of Colubrano (9 December 1705-30 December 1769), was an Italian mathematician and scientist from Naples. She became the second woman (after the Bolognese physicist Laura Bassi) to be elected to the Academy of Sciences of Bologna on 20 November 1732. In 1734, Faustina published a pap... |
Wikipedia:Faxén integral#0 | In mathematics, the Faxén integral (also named Faxén function) is the following integral Fi ( α , β ; x ) = ∫ 0 ∞ exp ( − t + x t α ) t β − 1 d t , ( 0 ≤ Re ( α ) < 1 , Re ( β ) > 0 ) . {\displaystyle \operatorname {Fi} (\alpha ,\beta ;x)=\int _{0}^{\infty }\exp(-t+xt^{\alpha })t^{\beta -1}\mathrm {d} t,\qquad ... |
Wikipedia:Fay Farnum#0 | Fay Farnum (August 24, 1888, in Spencer, Iowa – March 11, 1977, in Tucson, Arizona) was an American mathematician and university professor and one of the few women to earn a PhD in math before World War II. She was a founding member of the Mathematical Association of America. == Life and work == Born Eugenia Fae Farnum... |
Wikipedia:Fay's trisecant identity#0 | In algebraic geometry, Fay's trisecant identity is an identity between theta functions of Riemann surfaces introduced by Fay (1973, chapter 3, page 34, formula 45). Fay's identity holds for theta functions of Jacobians of curves, but not for theta functions of general abelian varieties. The name "trisecant identity" re... |
Wikipedia:Faà di Bruno's formula#0 | Faà di Bruno's formula is an identity in mathematics generalizing the chain rule to higher derivatives. It is named after Francesco Faà di Bruno (1855, 1857), although he was not the first to state or prove the formula. In 1800, more than 50 years before Faà di Bruno, the French mathematician Louis François Antoine Arb... |
Wikipedia:Federico Rodriguez Hertz#0 | Federico Rodríguez Hertz (born December 14, 1973) is an Argentine mathematician working in the United States. He is the Anatole Katok Chair professor of mathematics at Penn State University. Rodriguez Hertz studies dynamical systems and ergodic theory, which can be used to described chaos's behaviors over the large tim... |
Wikipedia:Federico Villarreal#0 | Federico Villarreal National University (Spanish: Universidad Nacional Federico Villarreal, UNFV) is a public university located in Lima, Peru. It was named in honor of the Peruvian mathematician Federico Villarreal. == History == It first functioned as a branch of the Community University of the Center - Universidad C... |
Wikipedia:Fedor Zaytsev#0 | Fedor Zaytsev (Russian: Фёдор Серге́евич За́йцев) (born 1963) is a Russian mathematician, Professor, Dr.Sc., a professor at the Faculty of Computer Science at the Moscow State University. He defended the thesis «Mathematical modeling of kinetic processes with Coulomb interaction in toroidal plasma» for the degree of Do... |
Wikipedia:Fekete problem#0 | In mathematics, the Fekete problem is, given a natural number N and a real s ≥ 0, to find the points x1,...,xN on the 2-sphere for which the s-energy, defined by ∑ 1 ≤ i < j ≤ N ‖ x i − x j ‖ − s {\displaystyle \sum _{1\leq i<j\leq N}\|x_{i}-x_{j}\|^{-s}} for s > 0 and by ∑ 1 ≤ i < j ≤ N log ‖ x i − x j ‖ − 1 {\displ... |
Wikipedia:Felix Frankl#0 | Felix Issidorowitsch Frankl (12 March 1905, Vienna – 7 Aprile 1961, Nalchik Russian: Феликс Исидорович Франкль) was an Austrian mathematician, who went to live in the Soviet Union where he had an academic career as a university professor. He studied topology at the Faculty of Mathematics of the University of Vienna und... |
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