source stringlengths 16 98 | text stringlengths 40 168k |
|---|---|
Wikipedia:Frederi Viens#0 | Frederi G. Viens is an American statistician, mathematician, and academic. He is a professor in the Department of Statistics at Rice University, a founding member of the Diverse Rotations Improve Valuable Ecosystem Services Project, a senior research contributor to the Sustainability of Agrarian Societies in the Lake C... |
Wikipedia:Frederic Wan#0 | Frederic Yui-Ming Wan is a Chinese-American applied mathematician, academic, author and consultant. He is a Professor Emeritus of Mathematics at the University of California, Irvine (UCI), and an Affiliate Professor of Applied Mathematics at the University of Washington (UW). Wan is most known for his research in appli... |
Wikipedia:Frederick Lincoln Emory#0 | Frederick Lincoln Emory (April 10, 1867 – December 31, 1919) was an American college football coach and professor of mechanics and applied mathematics. He served as the first head football coach at West Virginia University, coaching one game in 1891. The single game that he coached was played on November 28, 1891, agai... |
Wikipedia:Frederick Valentine Atkinson#0 | Frederick Valentine "Derick" Atkinson (25 January 1916 – 13 November 2002) was a British mathematician, formerly of the University of Toronto, Canada, where he spent most of his career. Atkinson's theorem and Atkinson–Wilcox theorem are named after him. His PhD advisor at Oxford was Edward Charles Titchmarsh. == Early ... |
Wikipedia:Fredholm alternative#0 | In mathematics, the Fredholm alternative, named after Ivar Fredholm, is one of Fredholm's theorems and is a result in Fredholm theory. It may be expressed in several ways, as a theorem of linear algebra, a theorem of integral equations, or as a theorem on Fredholm operators. Part of the result states that a non-zero co... |
Wikipedia:Fredholm's theorem#0 | In mathematics, Fredholm's theorems are a set of celebrated results of Ivar Fredholm in the Fredholm theory of integral equations. There are several closely related theorems, which may be stated in terms of integral equations, in terms of linear algebra, or in terms of the Fredholm operator on Banach spaces. The Fredho... |
Wikipedia:Fredrik Lange-Nielsen#0 | Fredrik Lange-Nielsen (13 May 1891 – 16 May 1980) was a Norwegian mathematician and insurance company manager. He chaired the Norwegian Students' Society, edited Norsk matematisk Tidsskrift, and lectured at the University of Oslo. He was chief executive of the insurance company Norske Liv for nearly twenty years, was e... |
Wikipedia:Free object#0 | In mathematics, the idea of a free object is one of the basic concepts of abstract algebra. Informally, a free object over a set A can be thought of as being a "generic" algebraic structure over A: the only equations that hold between elements of the free object are those that follow from the defining axioms of the alg... |
Wikipedia:Free presentation#0 | In algebra, a free presentation of a module M over a commutative ring R is an exact sequence of R-modules: ⨁ i ∈ I R → f ⨁ j ∈ J R → g M → 0. {\displaystyle \bigoplus _{i\in I}R\ {\overset {f}{\to }}\ \bigoplus _{j\in J}R\ {\overset {g}{\to }}\ M\to 0.} Note the image under g of the standard basis generates M. In parti... |
Wikipedia:Free product of associative algebras#0 | In mathematics, an associative algebra A over a commutative ring (often a field) K is a ring A together with a ring homomorphism from K into the center of A. This is thus an algebraic structure with an addition, a multiplication, and a scalar multiplication (the multiplication by the image of the ring homomorphism of a... |
Wikipedia:Free-standing Mathematics Qualifications#0 | Free-standing Mathematics Qualifications (FSMQ) are a suite of mathematical qualifications available at levels 1 to 3 in the National Qualifications Framework – Foundation, Intermediate and Advanced. == Educational standard == They bridge a gap between GCSE and A-Level Mathematics. The advanced course is especially ide... |
Wikipedia:Freidlin–Wentzell theorem#0 | In mathematics, the Freidlin–Wentzell theorem (due to Mark Freidlin and Alexander D. Wentzell) is a result in the large deviations theory of stochastic processes. Roughly speaking, the Freidlin–Wentzell theorem gives an estimate for the probability that a (scaled-down) sample path of an Itō diffusion will stray far fro... |
Wikipedia:Fresh variable#0 | In formal reasoning, in particular in mathematical logic, computer algebra, and automated theorem proving, a fresh variable is a variable that did not occur in the context considered so far. The concept is often used without explanation. Fresh variables may be used to replace other variables, to eliminate variable shad... |
Wikipedia:Freshman's dream#0 | The freshman's dream is a name given to the erroneous equation ( x + y ) n = x n + y n {\displaystyle (x+y)^{n}=x^{n}+y^{n}} , where n {\displaystyle n} is a real number (usually a positive integer greater than 1) and x , y {\displaystyle x,y} are non-zero real numbers. Beginning students commonly make this error in co... |
Wikipedia:Fridrikh Karpelevich#0 | Fridrikh Israilevich Karpelevich (Russian: Фридрих Израилевич Карпелевич; 2 October 1927 – 5 July 2000) was a Russian mathematician known for his work on semisimple Lie algebras, geometry, and probability theory. Together with Simon Gindikin, he discovered the Gindikin–Karpelevich formula. == Notes == == References == ... |
Wikipedia:Friedrich Karl Schmidt#0 | Adolf Friedrich Karl Schmidt (July 23, 1860 – October 17, 1944) was a German geophysicist who examined geomagnetism. He was involved in both experimental studies and in theoretical work on geomagnetism. He also designed a magnetometer which goes by his name. He was a member of the International Commission for Terrestri... |
Wikipedia:Frigyes Riesz#0 | Frigyes Riesz (Hungarian: Riesz Frigyes, pronounced [ˈriːs ˈfriɟɛʃ], sometimes known in English and French as Frederic Riesz; 22 January 1880 – 28 February 1956) was a Hungarian mathematician who made fundamental contributions to functional analysis, as did his younger brother Marcel Riesz. == Life and career == He was... |
Wikipedia:Frithiof Nevanlinna#0 | Rolf Herman Nevanlinna (né Neovius; 22 October 1895 – 28 May 1980) was a Finnish mathematician who made significant contributions to complex analysis. == Background == Nevanlinna was born Rolf Herman Neovius, becoming Nevanlinna in 1906 when his father changed the family name. The Neovius-Nevanlinna family contained ma... |
Wikipedia:Fritz Carlson#0 | Fritz David Carlson (23 July 1888 – 28 November 1952) was a Swedish mathematician whose work on analytic functions and geometry left a lasting mark on twentieth-century mathematics. After the death of Torsten Carleman, he headed the Mittag-Leffler Institute. == Life and career == Born in Vimmerby on 23 July 1888, Fritz... |
Wikipedia:Fritz Gesztesy#0 | Friedrich "Fritz" Gesztesy (born 5 November 1953 in Austria) is a well-known Austrian-American mathematical physicist and Professor of Mathematics at Baylor University, known for his important contributions in spectral theory, functional analysis, nonrelativistic quantum mechanics (particularly, Schrödinger operators),... |
Wikipedia:Frobenius determinant theorem#0 | In mathematics, the Frobenius determinant theorem was a conjecture made in 1896 by the mathematician Richard Dedekind, who wrote a letter to F. G. Frobenius about it (reproduced in (Dedekind 1968), with an English translation in (Curtis 2003, p. 51)). If one takes the multiplication table of a finite group G and replac... |
Wikipedia:Frobenius formula#0 | In mathematics, specifically in representation theory, the Frobenius formula, introduced by G. Frobenius, computes the characters of irreducible representations of the symmetric group Sn. Among the other applications, the formula can be used to derive the hook length formula. == Statement == Let χ λ {\displaystyle \chi... |
Wikipedia:Frobenius normal form#0 | In linear algebra, the Frobenius normal form or rational canonical form of a square matrix A with entries in a field F is a canonical form for matrices obtained by conjugation by invertible matrices over F. The form reflects a minimal decomposition of the vector space into subspaces that are cyclic for A (i.e., spanned... |
Wikipedia:Frobenius reciprocity theorem#0 | In mathematics, and in particular representation theory, Frobenius reciprocity is a theorem expressing a duality between the process of restricting and inducting. It can be used to leverage knowledge about representations of a subgroup to find and classify representations of "large" groups that contain them. It is name... |
Wikipedia:Frostman lemma#0 | Frostman's lemma provides a convenient tool for estimating the Hausdorff dimension of sets in mathematics, and more specifically, in the theory of fractal dimensions. == Lemma == Lemma: Let A be a Borel subset of Rn, and let s > 0. Then the following are equivalent: Hs(A) > 0, where Hs denotes the s-dimensional Hausdor... |
Wikipedia:Frucht's theorem#0 | Frucht's theorem is a result in algebraic graph theory, conjectured by Dénes Kőnig in 1936 and proved by Robert Frucht in 1939. It states that every finite group is the group of symmetries of a finite undirected graph. More strongly, for any finite group G there exist infinitely many non-isomorphic simple connected gra... |
Wikipedia:Frédérique Lenger#0 | Frédérique Papy-Lenger (August 12, 1921 – January 9, 2005) was a Belgian mathematician and mathematics educator active in the New Math movement of the 1960s and 1970s. == Early life and education == Frédérique Lenger was born on August 12, 1921, in Arlon, Belgium, one of three daughters of a lawyer. After studying clas... |
Wikipedia:Frédérique Oggier#0 | Frédérique Elise Oggier is a Swiss mathematician and coding theorist who works as an associate professor of physical and mathematical sciences at Nanyang Technological University in Singapore. == Education == After earning bachelor's and master's degrees in mathematics from the University of Geneva, Oggier completed he... |
Wikipedia:Fuchs's theorem#0 | In mathematics, Fuchs's theorem, named after Lazarus Fuchs, states that a second-order differential equation of the form y ″ + p ( x ) y ′ + q ( x ) y = g ( x ) {\displaystyle y''+p(x)y'+q(x)y=g(x)} has a solution expressible by a generalised Frobenius series when p ( x ) {\displaystyle p(x)} , q ( x ) {\displaystyle q... |
Wikipedia:Fuchsian group#0 | In mathematics, a Fuchsian group is a discrete subgroup of PSL(2,R). The group PSL(2,R) can be regarded equivalently as a group of orientation-preserving isometries of the hyperbolic plane, or conformal transformations of the unit disc, or conformal transformations of the upper half plane, so a Fuchsian group can be re... |
Wikipedia:Fuensanta Aroca#0 | Fuensanta Aroca Bisquert is a Spanish mathematician who works in Mexico as a researcher in the Institute of Mathematics (Oaxaca unit) of the National Autonomous University of Mexico (UNAM). Her mathematical research involves the use of power series to solve differential equations, singularity theory, and tropical geome... |
Wikipedia:Function (mathematics)#0 | In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function. Functions were originally the idealization of how a varying quantity depends on another quantity. For example, th... |
Wikipedia:Function application#0 | In mathematics, function application is the act of applying a function to an argument from its domain so as to obtain the corresponding value from its range. In this sense, function application can be thought of as the opposite of function abstraction. == Representation == Function application is usually depicted by ju... |
Wikipedia:Function composition#0 | In mathematics, the composition operator ∘ {\displaystyle \circ } takes two functions, f {\displaystyle f} and g {\displaystyle g} , and returns a new function h ( x ) := ( g ∘ f ) ( x ) = g ( f ( x ) ) {\displaystyle h(x):=(g\circ f)(x)=g(f(x))} . Thus, the function g is applied after applying f to x. ( g ∘ f ) {\disp... |
Wikipedia:Function of a real variable#0 | In mathematical analysis, and applications in geometry, applied mathematics, engineering, and natural sciences, a function of a real variable is a function whose domain is the real numbers R {\displaystyle \mathbb {R} } , or a subset of R {\displaystyle \mathbb {R} } that contains an interval of positive length. Most r... |
Wikipedia:Function of several real variables#0 | In mathematical analysis and its applications, a function of several real variables or real multivariate function is a function with more than one argument, with all arguments being real variables. This concept extends the idea of a function of a real variable to several variables. The "input" variables take real value... |
Wikipedia:Function problem#0 | In computational complexity theory, a function problem is a computational problem where a single output (of a total function) is expected for every input, but the output is more complex than that of a decision problem. For function problems, the output is not simply 'yes' or 'no'. == Definition == A functional problem ... |
Wikipedia:Function series#0 | In calculus, a function series is a series where each of its terms is a function, not just a real or complex number. == Examples == Examples of function series include ordinary power series, Laurent series, Fourier series, Liouville-Neumann series, formal power series, and Puiseux series. == Convergence == There exist ... |
Wikipedia:Function space#0 | In mathematics, a function space is a set of functions between two fixed sets. Often, the domain and/or codomain will have additional structure which is inherited by the function space. For example, the set of functions from any set X into a vector space has a natural vector space structure given by pointwise addition ... |
Wikipedia:Functional decomposition#0 | In engineering, functional decomposition is the process of resolving a functional relationship into its constituent parts in such a way that the original function can be reconstructed (i.e., recomposed) from those parts. This process of decomposition may be undertaken to gain insight into the identity of the constituen... |
Wikipedia:Functional derivative#0 | In the calculus of variations, a field of mathematical analysis, the functional derivative (or variational derivative) relates a change in a functional (a functional in this sense is a function that acts on functions) to a change in a function on which the functional depends. In the calculus of variations, functionals ... |
Wikipedia:Functional equation (L-function)#0 | In mathematics, the L-functions of number theory are expected to have several characteristic properties, one of which is that they satisfy certain functional equations. There is an elaborate theory of what these equations should be, much of which is still conjectural. == Introduction == A prototypical example, the Riem... |
Wikipedia:Functional renormalization group#0 | In theoretical physics, functional renormalization group (FRG) is an implementation of the renormalization group (RG) concept which is used in quantum and statistical field theory, especially when dealing with strongly interacting systems. The method combines functional methods of quantum field theory with the intuitiv... |
Wikipedia:Functional square root#0 | In mathematics, a functional square root (sometimes called a half iterate) is a square root of a function with respect to the operation of function composition. In other words, a functional square root of a function g is a function f satisfying f(f(x)) = g(x) for all x. == Notation == Notations expressing that f is a f... |
Wikipedia:Fundamental theorem of algebraic K-theory#0 | In algebra, the fundamental theorem of algebraic K-theory describes the effects of changing the ring of K-groups from a ring R to R [ t ] {\displaystyle R[t]} or R [ t , t − 1 ] {\displaystyle R[t,t^{-1}]} . The theorem was first proved by Hyman Bass for K 0 , K 1 {\displaystyle K_{0},K_{1}} and was later extended to h... |
Wikipedia:Fundamental theorem of finitely generated abelian groups#0 | In abstract algebra, an abelian group ( G , + ) {\displaystyle (G,+)} is called finitely generated if there exist finitely many elements x 1 , … , x s {\displaystyle x_{1},\dots ,x_{s}} in G {\displaystyle G} such that every x {\displaystyle x} in G {\displaystyle G} can be written in the form x = n 1 x 1 + n 2 x 2 + ⋯... |
Wikipedia:Fundamental theorem of linear programming#0 | In mathematical optimization, the fundamental theorem of linear programming states, in a weak formulation, that the maxima and minima of a linear function over a convex polygonal region occur at the region's corners. Further, if an extreme value occurs at two corners, then it must also occur everywhere on the line segm... |
Wikipedia:Fusion frame#0 | In mathematics, a fusion frame of a vector space is a natural extension of a frame. It is an additive construct of several, potentially "overlapping" frames. The motivation for this concept comes from the event that a signal can not be acquired by a single sensor alone (a constraint found by limitations of hardware or ... |
Wikipedia:Félix Pollaczek#0 | Félix Pollaczek (1 December 1892 in Vienna – 29 April 1981 at Boulogne-Billancourt) was an Austrian-French engineer and mathematician, known for numerous contributions to number theory, mathematical analysis, mathematical physics and probability theory. He is best known for the Pollaczek–Khinchine formula in queueing t... |
Wikipedia:G. H. Hardy#0 | Godfrey Harold Hardy (7 February 1877 – 1 December 1947) was an English mathematician, known for his achievements in number theory and mathematical analysis. In biology, he is known for the Hardy–Weinberg principle, a basic principle of population genetics. G. H. Hardy is usually known by those outside the field of mat... |
Wikipedia:G. N. Watson#0 | George Neville Watson (31 January 1886 – 2 February 1965) was an English mathematician, who applied complex analysis to the theory of special functions. His collaboration on the 1915 second edition of E. T. Whittaker's A Course of Modern Analysis (1902) produced the classic "Whittaker and Watson" text. In 1918 he prove... |
Wikipedia:G. W. Peck#0 | G. W. Peck is a pseudonymous attribution used as the author or co-author of a number of published academic papers in mathematics. Peck is sometimes humorously identified with George Wilbur Peck, a former governor of the US state of Wisconsin. Peck first appeared as the official author of a 1979 paper entitled "Maximum ... |
Wikipedia:GJMS operator#0 | In the mathematical field of differential geometry, the GJMS operators are a family of differential operators, that are defined on a Riemannian manifold. In an appropriate sense, they depend only on the conformal structure of the manifold. The GJMS operators generalize the Paneitz operator and the conformal Laplacian. ... |
Wikipedia:Gabriel Altmann#0 | Gabriel Altmann (24 May 1931 – 2 March 2020) was a Slovak-German linguist and mathematician. He made significant contributions to the field of quantitative linguistics. He is best known for co-developing Menzerath's law, also known as the Menzerath-Altmann law, which describes the relationship between the size of a lin... |
Wikipedia:Gabriel Judah Lichtenfeld#0 | Gabriel Judah Lichtenfeld (Hebrew: גַּבְרִיאֵל יְהוּדָה ליכטענפעלד; 1811, Lublin — 22 March 1887, Warsaw) was a Jewish-Polish maskilic mathematician, poet, and author. He wrote for Ha-Shachar, Ha-Tzefirah, Izraelita, and Polish newspapers, mostly on mathematical topics. == Biography == A descendant of Moses Isserles, L... |
Wikipedia:Gabriel Xavier Paul Koenigs#0 | Gabriel Xavier Paul Koenigs (17 January 1858 in Toulouse, France – 29 October 1931 in Paris, France) was a French mathematician who worked on analysis and geometry. He was elected as Secretary General of the Executive Committee of the International Mathematical Union after the first world war, and used his position to ... |
Wikipedia:Gabriela Araujo-Pardo#0 | Martha Gabriela Araujo-Pardo is a Mexican mathematician specializing in graph theory, including work on graph coloring, Kneser graphs, cages, and finite geometry. She is a researcher at the National Autonomous University of Mexico in the Mathematics Institute, Juriquilla Campus, and the 2024–2026 president of the Mexic... |
Wikipedia:Gabriele Manfredi#0 | Gabriele Manfredi (25 March 1681 – 13 October 1761) was an Italian mathematician who worked in the field of calculus. == Early years == Gabriele Manfredi was born in Bologna, then in the Papal States, on 25 March 1681. He was the son of Alfonso Manfredi, a notary from Lugo, Emilia-Romagna, and Anna Maria Fiorini. His e... |
Wikipedia:Gabriele Vezzosi#0 | Gabriele Vezzosi is an Italian mathematician, born in Florence, Italy. His main interest is algebraic geometry. Vezzosi earned an MS degree in Physics at the University of Florence, under the supervision of Alexandre M. Vinogradov, and a PhD in Mathematics at the Scuola Normale Superiore in Pisa, under the supervision ... |
Wikipedia:Gabriella Pinzari#0 | Gabriella Pinzari is an Italian mathematician known for her research on the n-body problem. == Research == Pinzari's research on the n-body problem has been described as "the most natural way to apply" the Kolmogorov–Arnold–Moser theorem to the problem. The original work of Vladimir Arnold on this theorem attempted to ... |
Wikipedia:Gabriella Tarantello#0 | Gabriella Tarantello (born 15 October 1958) is an Italian mathematician specializing in partial differential equations, differential geometry, and gauge theory. She is a professor in the department of mathematics at the University of Rome Tor Vergata. == Education and career == Tarantello was born in Pratola Peligna. S... |
Wikipedia:Gady Kozma#0 | Gady Kozma is an Israeli mathematician. Kozma obtained his PhD in 2001 at the University of Tel Aviv with Alexander Olevskii. He is a scientist at the Weizmann Institute. In 2005, he demonstrated the existence of the scaling limit value (that is, for increasingly finer lattices) of the loop-erased random walk in three ... |
Wikipedia:Gaetano Scorza#0 | Bernardino Gaetano Scorza (29 September 1876, in Morano Calabro – 6 August 1939, in Rome) was an Italian mathematician working in algebraic geometry, whose work inspired the theory of Scorza varieties. == Publications == Scorza, Gaetano (1960), Opere scelte. Vol. I. (1899–1915), Pubblicate a cura dell'Unione Matematica... |
Wikipedia:Galactic algorithm#0 | A galactic algorithm is an algorithm with record-breaking theoretical (asymptotic) performance, but which is not used due to practical constraints. Typical reasons are that the performance gains only appear for problems that are so large they never occur, or the algorithm's complexity outweighs a relatively small gain ... |
Wikipedia:Galia Dafni#0 | Galia Devora Dafni is a mathematician specializing in harmonic analysis and function spaces. Educated in the US, she works in Canada as a professor of mathematics and statistics at Concordia University. She is also affiliated with the Centre de Recherches Mathématiques, where she is deputy director for publications and... |
Wikipedia:Gan Wee Teck#0 | Gan Wee Teck (simplified Chinese: 颜维德; traditional Chinese: 顏維德; pinyin: Yán Wéi Dé; Jyutping: Ngaan4 Wai4 Dak1; Pe̍h-ōe-jī: Gân Ûi-tek; born 11 March 1972) is a Malaysian-born Singaporean mathematician. He is a Distinguished Professor of Mathematics at the National University of Singapore (NUS). He is known for his wo... |
Wikipedia:Ganita Kaumudi#0 | Ganita Kaumudi (Sanskrit: गणितकौमदी) is a treatise on mathematics written by Indian mathematician Narayana Pandita in 1356. It was an arithmetical treatise alongside the other algebraic treatise called "Bijganita Vatamsa" by Narayana Pandit. == Contents == Gaṇita Kaumudī contains about 475 verses of sūtra (rules) and 3... |
Wikipedia:Ganitagannadi#0 | Gaṇitagannaḍi (Mirror of Mathematics) is a commentary in Kannada on Viddṇācārya's Vārșikatantra composed by Śaṅkaranārāyaṇa Joisāru in 1604. Viddṇācārya's Vārșikatantra is a karaṇa text written before 1370 CE. The book, written in Nandinagari script, is a karaṇa text, that is, a book which explain the various computati... |
Wikipedia:Garry Tee#0 | Garry John Tee (28 March 1932 – 18 February 2024) was a New Zealand mathematician and computer scientist. == Biography == Garry John Tee was born in Whanganui on 28 March 1932. Tee attended Seddon Memorial Technical College (now Auckland University of Technology). In 1954, he was awarded a Master of Science with First ... |
Wikipedia:Garside element#0 | In mathematics, a Garside element is an element of an algebraic structure such as a monoid that has several desirable properties. Formally, if M is a monoid, then an element Δ of M is said to be a Garside element if the set of all right divisors of Δ, { r ∈ M ∣ for some x ∈ M , Δ = x r } , {\displaystyle \{r\in M\mid {... |
Wikipedia:Gaston Albert Gohierre de Longchamps#0 | In geometry, the de Longchamps point of a triangle is a triangle center named after French mathematician Gaston Albert Gohierre de Longchamps. It is the reflection of the orthocenter of the triangle about the circumcenter. == Definition == Let the given triangle have vertices A {\displaystyle A} , B {\displaystyle B} ,... |
Wikipedia:Gaston N'Guérékata#0 | Gaston Mandata Nguérékata (born 20 May 1953) is a Central African mathematician and politician who is currently serving. He was the first Central African to earn a Ph.D. in mathematics. == Early life and education == Nguérékata was born in Paoua on May 20, 1953. He finished his primary education in Ecole Sous Préfectur... |
Wikipedia:Gaussian integral#0 | The Gaussian integral, also known as the Euler–Poisson integral, is the integral of the Gaussian function f ( x ) = e − x 2 {\displaystyle f(x)=e^{-x^{2}}} over the entire real line. Named after the German mathematician Carl Friedrich Gauss, the integral is ∫ − ∞ ∞ e − x 2 d x = π . {\displaystyle \int _{-\infty }^{\in... |
Wikipedia:Gaṇeśa Daivajna#0 | Gaṇeśa Daivajna (born c. 1507, fl. 1520-1554) was a sixteenth century astronomer, astrologer, and mathematician from western India who wrote books on methods to predict eclipses, planetary conjunctions, positions, and make calculations for calendars. His most major work was the Grahalaghava which was included ephemeris... |
Wikipedia:Geertruida Wijthoff#0 | Geertruida "Truida" Wijthoff (30 August 1859 – 13 March 1953) was a Dutch mathematician and teacher. In 1907 she became a member of merit of the Royal Dutch Mathematical Society. == Life and work == Truida (birthname, Anna Geertruida Wijthoff) was the eldest of four children born into the wealthy family of Abraham Will... |
Wikipedia:Gelfand–Kirillov dimension#0 | In algebra, the Gelfand–Kirillov dimension (or GK dimension) of a right module M over a k-algebra A is: GKdim = sup V , M 0 lim sup n → ∞ log n dim k M 0 V n {\displaystyle \operatorname {GKdim} =\sup _{V,M_{0}}\limsup _{n\to \infty }\log _{n}\dim _{k}M_{0}V^{n}} where the supremum is taken over all finite-dimensio... |
Wikipedia:General Leibniz rule#0 | In calculus, the general Leibniz rule, named after Gottfried Wilhelm Leibniz, generalizes the product rule for the derivative of the product of two (which is also known as "Leibniz's rule"). It states that if f {\displaystyle f} and g {\displaystyle g} are n-times differentiable functions, then the product f g {\displa... |
Wikipedia:General existence theorem of discontinuous maps#0 | In mathematics, linear maps form an important class of "simple" functions which preserve the algebraic structure of linear spaces and are often used as approximations to more general functions (see linear approximation). If the spaces involved are also topological spaces (that is, topological vector spaces), then it ma... |
Wikipedia:General linear group#0 | In mathematics, the general linear group of degree n {\displaystyle n} is the set of n × n {\displaystyle n\times n} invertible matrices, together with the operation of ordinary matrix multiplication. This forms a group, because the product of two invertible matrices is again invertible, and the inverse of an invertibl... |
Wikipedia:Generality of algebra#0 | In the history of mathematics, the generality of algebra was a phrase used by Augustin-Louis Cauchy to describe a method of argument that was used in the 18th century by mathematicians such as Leonhard Euler and Joseph-Louis Lagrange, particularly in manipulating infinite series. According to Koetsier, the generality o... |
Wikipedia:Generalizations of Pauli matrices#0 | In mathematics and physics, in particular quantum information, the term generalized Pauli matrices refers to families of matrices which generalize the (linear algebraic) properties of the Pauli matrices. Here, a few classes of such matrices are summarized. == Multi-qubit Pauli matrices (Hermitian) == This method of gen... |
Wikipedia:Generalized Cohen–Macaulay ring#0 | In mathematics, a Cohen–Macaulay ring is a commutative ring with some of the algebro-geometric properties of a smooth variety, such as local equidimensionality. Under mild assumptions, a local ring is Cohen–Macaulay exactly when it is a finitely generated free module over a regular local subring. Cohen–Macaulay rings p... |
Wikipedia:Generalized Ozaki cost function#0 | In economics the generalized-Ozaki (GO) cost function is a general description of the cost of production proposed by Shinichiro Nakamura. The GO cost function is notable for explicitly considering nonhomothetic technology, where the proportions of inputs can vary as the output changes. This stands in contrast to the st... |
Wikipedia:Generalized arithmetic progression#0 | In mathematics, a generalized arithmetic progression (or multiple arithmetic progression) is a generalization of an arithmetic progression equipped with multiple common differences – whereas an arithmetic progression is generated by a single common difference, a generalized arithmetic progression can be generated by mu... |
Wikipedia:Generalized eigenvector#0 | In linear algebra, a generalized eigenvector of an n × n {\displaystyle n\times n} matrix A {\displaystyle A} is a vector which satisfies certain criteria which are more relaxed than those for an (ordinary) eigenvector. Let V {\displaystyle V} be an n {\displaystyle n} -dimensional vector space and let A {\displaystyle... |
Wikipedia:Generalized singular value decomposition#0 | In linear algebra, the generalized singular value decomposition (GSVD) is the name of two different techniques based on the singular value decomposition (SVD). The two versions differ because one version decomposes two matrices (somewhat like the higher-order or tensor SVD) and the other version uses a set of constrain... |
Wikipedia:Generating set of a module#0 | In mathematics, a generating set Γ of a module M over a ring R is a subset of M such that the smallest submodule of M containing Γ is M itself (the smallest submodule containing a subset is the intersection of all submodules containing the set). The set Γ is then said to generate M. For example, the ring R is generated... |
Wikipedia:Generator (mathematics)#0 | In mathematics and physics, the term generator or generating set may refer to any of a number of related concepts. The underlying concept in each case is that of a smaller set of objects, together with a set of operations that can be applied to it, that result in the creation of a larger collection of objects, called t... |
Wikipedia:Geneviève Gauthier#0 | Geneviève Gauthier is a Canadian mathematician, statistician, and decision scientist, known for her work in mathematical finance including the valuation of options and financial risk management. She is a professor of statistics in the Department of Decision Sciences at HEC Montréal. == Education and career == Gauthier ... |
Wikipedia:Gennadii Rubinstein#0 | Gennadii Shlemovich Rubinstein (Russian: Геннадий Шлемович Рубинштейн) was a Russian mathematician. His research focused on mathematical programming and operations research. His name is associated to the Kantorovich–Rubinstein metric, also commonly known as the Wasserstein distance, used in optimal transport. Alternate... |
Wikipedia:Gennadiy Feldman#0 | Gennadiy Mykhailovych Feldman (Ukrainian: Геннадій Михайлович Фельдман; born October 15, 1947) is a Soviet and Ukrainian mathematician, corresponding member of the National Academy of Sciences of Ukraine, Doctor of Science in Physics and Mathematics, Professor, Head of the Mathematical Division of B. Verkin Institute f... |
Wikipedia:Geodesic grid#0 | A geodesic grid is a spatial grid based on a geodesic polyhedron or Goldberg polyhedron. == History == The earliest use of the (icosahedral) geodesic grid in geophysical modeling dates back to 1968 and the work by Sadourny, Arakawa, and Mintz and Williamson. Later work expanded on this base. == Construction == A geodes... |
Wikipedia:Geoff Bascand#0 | Geoff Bascand was the Deputy Governor and Head of Operations at the Reserve Bank of New Zealand. He was Government Statistician and the Chief Executive of Statistics New Zealand until May 2013. Bascand is a graduate of the University of Otago and the Australian National University with a BA (Honours) degree in Geograph... |
Wikipedia:Geometriae Dedicata#0 | Geometriae Dedicata is a mathematical journal, founded in 1972, concentrating on geometry and its relationship to topology, group theory and the theory of dynamical systems. It was created on the initiative of Hans Freudenthal in Utrecht, the Netherlands. It is published by Springer Netherlands. The Editor-in-Chief is ... |
Wikipedia:Geometric Exercises in Paper Folding#0 | Geometric Exercises in Paper Folding is a book on the mathematics of paper folding. It was written by Indian mathematician T. Sundara Row, first published in India in 1893, and later republished in many other editions. Its topics include paper constructions for regular polygons, symmetry, and algebraic curves. Accordin... |
Wikipedia:Geometric and Functional Analysis#0 | Geometric and Functional Analysis (GAFA) is a mathematical journal published by Birkhäuser, an independent division of Springer-Verlag. The journal is published bi-monthly. The journal publishes major results on a broad range of mathematical topics related to geometry and analysis. GAFA is both an acronym and a part of... |
Wikipedia:Geometric mean theorem#0 | In Euclidean geometry, the right triangle altitude theorem or geometric mean theorem is a relation between the altitude on the hypotenuse in a right triangle and the two line segments it creates on the hypotenuse. It states that the geometric mean of those two segments equals the altitude. == Theorem and its converse =... |
Wikipedia:Geometric transformation#0 | In mathematics, a geometric transformation is any bijection of a set to itself (or to another such set) with some salient geometrical underpinning, such as preserving distances, angles, or ratios (scale). More specifically, it is a function whose domain and range are sets of points – most often a real coordinate space,... |
Wikipedia:Geometry Center#0 | The Geometry Center was a mathematics research and education center at the University of Minnesota. It was established by the National Science Foundation in the late 1980s and closed in 1998. The focus of the center's work was the use of computer graphics and visualization for research and education in pure mathematics... |
Wikipedia:Geordie Williamson#0 | Geordie Williamson (born 1981 in Bowral, Australia) is an Australian mathematician at the University of Sydney. He became the youngest living Fellow of the Royal Society when he was elected in 2018 at the age of 36. == Education == Educated at Chevalier College, Williamson graduated in 1999 with a UAI of 99.45. He stud... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.