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Wikipedia:Eigenoperator#0 | In mathematics, an eigenoperator, A, of a matrix H is a linear operator such that [ H , A ] = λ A {\displaystyle [H,A]=\lambda A\,} where λ {\displaystyle \lambda } is a corresponding scalar called an eigenvalue. == References == |
Wikipedia:Eigenplane#0 | In mathematics, an eigenplane is a two-dimensional invariant subspace in a given vector space. By analogy with the term eigenvector for a vector which, when operated on by a linear operator is another vector which is a scalar multiple of itself, the term eigenplane can be used to describe a two-dimensional plane (a 2-p... |
Wikipedia:Eigenvalue perturbation#0 | In mathematics, an eigenvalue perturbation problem is that of finding the eigenvectors and eigenvalues of a system A x = λ x {\displaystyle Ax=\lambda x} that is perturbed from one with known eigenvectors and eigenvalues A 0 x 0 = λ 0 x 0 {\displaystyle A_{0}x_{0}=\lambda _{0}x_{0}} . This is useful for studying how se... |
Wikipedia:Eigenvalues and eigenvectors#0 | In linear algebra, an eigenvector ( EYE-gən-) or characteristic vector is a vector that has its direction unchanged (or reversed) by a given linear transformation. More precisely, an eigenvector v {\displaystyle \mathbf {v} } of a linear transformation T {\displaystyle T} is scaled by a constant factor λ {\displaystyle... |
Wikipedia:Eigenvalues and eigenvectors of the second derivative#0 | Explicit formulas for eigenvalues and eigenvectors of the second derivative with different boundary conditions are provided both for the continuous and discrete cases. In the discrete case, the standard central difference approximation of the second derivative is used on a uniform grid. These formulas are used to deriv... |
Wikipedia:Eikonal approximation#0 | In theoretical physics, the eikonal approximation (Greek εἰκών for likeness, icon or image) is an approximative method useful in wave scattering equations, which occur in optics, seismology, quantum mechanics, quantum electrodynamics, and partial wave expansion. == Informal description == The main advantage that the ei... |
Wikipedia:Eilenberg–Niven theorem#0 | The Eilenberg–Niven theorem is a theorem that generalizes the fundamental theorem of algebra to quaternionic polynomials, that is, polynomials with quaternion coefficients and variables. It is due to Samuel Eilenberg and Ivan M. Niven. == Statement == Let P ( x ) = a 0 x a 1 x ⋯ x a n + φ ( x ) {\displaystyle P(x)=a_{0... |
Wikipedia:Eilenberg–Watts theorem#0 | In mathematics, specifically homological algebra, the Eilenberg–Watts theorem tells when a functor between the categories of modules is given by an application of a tensor product. Precisely, it says that a functor F : M o d R → M o d S {\displaystyle F:\mathbf {Mod} _{R}\to \mathbf {Mod} _{S}} is additive, is right-ex... |
Wikipedia:Eilon Solan#0 | Eilon Solan (Hebrew: אילון סולן; born 1969) is an Israeli mathematician and professor at the School of Mathematical Sciences of Tel Aviv University. His research focuses on game theory, stochastic processes, and measure theory. == Biography == Solan obtained a B.Sc. in mathematics and computer science from the Hebrew U... |
Wikipedia:Eisenstein series#0 | Eisenstein series, named after German mathematician Gotthold Eisenstein, are particular modular forms with infinite series expansions that may be written down directly. Originally defined for the modular group, Eisenstein series can be generalized in the theory of automorphic forms. == Eisenstein series for the modular... |
Wikipedia:Eitan Tadmor#0 | Eitan Tadmor (Hebrew: איתן תדמור; born May 4, 1954) is a distinguished university professor at the University of Maryland, College Park. His work has featured contributions to the theory and computation of Partial differential equations with diverse applications to shock wave, kinetic transport, incompressible flows, i... |
Wikipedia:El Nombre#0 | El Nombre is a children's educational programme about an anthropomorphic Mexican gerbil character, originally from a series of educational sketches on Numbertime, the BBC schools programme about mathematics. He was also the only character to appear in all Numbertime episodes. His voice was provided by Steve Steen, whil... |
Wikipedia:Elasticity of a function#0 | In mathematics, the elasticity or point elasticity of a positive differentiable function f of a positive variable (positive input, positive output) at point a is defined as E f ( a ) = a f ( a ) f ′ ( a ) {\displaystyle Ef(a)={\frac {a}{f(a)}}f'(a)} = lim x → a f ( x ) − f ( a ) x − a a f ( a ) = lim x → a f ( x ) − f ... |
Wikipedia:Eleanor Mollie Horadam#0 | Eleanor Mollie Horadam (29 June 1921 – 5 May 2002) was an English-Australian mathematician specialising in the number theory of generalised integers. == Life == Horadam was born in Dewsbury, Yorkshire. She read mathematics at Girton College, Cambridge. Then, while doing wartime service by day for Rolls-Royce performing... |
Wikipedia:Electronic Journal of Linear Algebra#0 | The Electronic Journal of Linear Algebra is a peer-reviewed platinum open access scientific journal covering matrix analysis and linear algebra, together with their applications. It is published by the International Linear Algebra Society and its editor-in-chief is Froilán M. Dopico (University Carlos III of Madrid). =... |
Wikipedia:Elementary Number Theory, Group Theory and Ramanujan Graphs#0 | Elementary Number Theory, Group Theory and Ramanujan Graphs is a book in mathematics whose goal is to make the construction of Ramanujan graphs accessible to undergraduate-level mathematics students. In order to do so, it covers several other significant topics in graph theory, number theory, and group theory. It was w... |
Wikipedia:Elementary algebra#0 | Elementary algebra, also known as high school algebra or college algebra, encompasses the basic concepts of algebra. It is often contrasted with arithmetic: arithmetic deals with specified numbers, whilst algebra introduces variables (quantities without fixed values). This use of variables entails use of algebraic nota... |
Wikipedia:Elementary function#0 | In mathematics, an elementary function is a function of a single variable (typically real or complex) that is defined as taking sums, products, roots and compositions of finitely many polynomial, rational, trigonometric, hyperbolic, and exponential functions, and their inverses (e.g., arcsin, log, or x1/n). All element... |
Wikipedia:Elementary matrix#0 | In mathematics, an elementary matrix is a square matrix obtained from the application of a single elementary row operation to the identity matrix. The elementary matrices generate the general linear group GLn(F) when F is a field. Left multiplication (pre-multiplication) by an elementary matrix represents elementary ro... |
Wikipedia:Elementary symmetric polynomial#0 | In mathematics, specifically in commutative algebra, the elementary symmetric polynomials are one type of basic building block for symmetric polynomials, in the sense that any symmetric polynomial can be expressed as a polynomial in elementary symmetric polynomials. That is, any symmetric polynomial P is given by an ex... |
Wikipedia:Elena Braverman#0 | Elena Yanovna Braverman (née Lumelskaya, Russian: Елена Яновна Браверман) is a Russian, Israeli, and Canadian mathematician known for her research in delay differential equations, difference equations, and population dynamics. She is a professor of mathematics and applied mathematics at the University of Calgary, and o... |
Wikipedia:Elena Celledoni#0 | Elena Celledoni (born 1967) is an Italian mathematician who works in Norway as a professor of mathematical sciences at the Norwegian University of Science and Technology (NTNU). Her research involves the numerical analysis of numerical algorithms for partial differential equations and for Lie group computations, includ... |
Wikipedia:Elena Deza#0 | Elena Ivanovna Deza (Russian: Елена Ивановна Деза, née Panteleeva; born 23 August 1961) is a French and Russian mathematician known for her books on metric spaces and figurate numbers. == Education and career == Deza was born on 23 August 1961 in Volgograd, and is a French and Russian citizen. She earned a diploma in m... |
Wikipedia:Elena Freda#0 | Elena Freda (25 March 1890 – 25 November 1978) was an Italian mathematician and mathematical physicist known for her collaboration with Vito Volterra on mathematical analysis and its applications to electromagnetism and biomathematics. == Life == Freda was born on 25 March 1890. She studied projective geometry with Gui... |
Wikipedia:Elena Mantovan#0 | Elena Mantovan is a mathematician specializing in arithmetic geometry. Educated in Italy and the US, she works in the US as Taussky-Todd–Lonergan Professor of Mathematics at the California Institute of Technology (Caltech). == Education and career == Mantovan earned a laurea in mathematics at the University of Padua in... |
Wikipedia:Elena Prieto-Rodriguez#0 | Elena Prieto-Rodriguez is a Spanish and Australian mathematician, computer scientist, and mathematics educator known for her research in parameterized complexity and her work in mathematics education. She is a professor in the School of Education at the University of Newcastle in Australia, and deputy head of the schoo... |
Wikipedia:Elena Yanovskaya#0 | Elena Yanovskaya (Russian: Еле́на Бори́совна Яно́вская, born 20 May 1938) is a Soviet and Russian mathematician and economist known for her contributions to cooperative game theory. == Biography == Elena Yanovskaya was born in Leningrad on May 20, 1938. She studied at the School of Mathematics and Mechanics of the Leni... |
Wikipedia:Eleonor Harboure#0 | Eleonor "Pola" Ofelia Harboure de Aguilera (15 June 1948 – 15 January 2022), who published professionally as Eleonor Harboure, was a mathematician from Argentina who was the first woman president of Unión Matemática Argentina (UMA), the Argentinian mathematical professional society. Harboure also served as the UMA's se... |
Wikipedia:Eleonora Catsigeras#0 | Eleonora Dolores Catsigeras García (born 1956) is a Uruguayan mathematician who specializes in dynamical systems and is a winner of the L'Oréal-UNESCO Award for Women in Science in 2014, with her project Neurodynamics. She completed the Doctorate in Sciences at the National Institute of Pure and Applied Mathematics in ... |
Wikipedia:Eli Maor#0 | Eli Maor (Hebrew: אלי מאור; born 4 October 1937) is a mathematician and historian of mathematics, best known for several books about mathematics and its history written for a popular audience. Eli Maor received his PhD at the Technion – Israel Institute of Technology. He taught history of mathematics at Loyola Universi... |
Wikipedia:Eli Shamir#0 | Eliahu (Eli) Shamir (Hebrew: אליהו שמיר) is an Israeli mathematician and computer scientist, the Jean and Helene Alfassa Professor Emeritus of Computer Science at the Hebrew University of Jerusalem. == Biography == Shamir earned his Ph.D. from the Hebrew University in 1963, under the supervision of Shmuel Agmon. After ... |
Wikipedia:Eli Turkel#0 | Eli L. Turkel (Hebrew: אלי טורקל; born January 22, 1944) is an Israeli applied mathematician and currently an emeritus professor of applied mathematics at the School of Mathematical Sciences, Tel Aviv University. He is known for his contributions to numerical analysis of Partial Differential equations particularly in t... |
Wikipedia:Eliane R. Rodrigues#0 | Eliane Regina Rodrigues is a Brazilian applied mathematician and statistician who works in Mexico as a researcher at the Institute of Mathematics of the National Autonomous University of Mexico (UNAM). Her research involves using stochastic processes including Markov chains and Poisson point processes to model phenomen... |
Wikipedia:Elimination theory#0 | In commutative algebra and algebraic geometry, elimination theory is the classical name for algorithmic approaches to eliminating some variables between polynomials of several variables, in order to solve systems of polynomial equations. Classical elimination theory culminated with the work of Francis Macaulay on multi... |
Wikipedia:Elisabeth Hagemann#0 | Elisabeth Hagemann (born 6 Mar 1906 in Essen, died 1989) was among the first female German mathematicians to obtain a Doctor of Philosophy degree. == Life == Her parents were Otto Hagemann, a department director at Friedrich Krupp AG, and Else Hagemann, née Clausius. Elisabeth Hagemann got her abitur from the Victoria ... |
Wikipedia:Elisabeth M. Werner#0 | Elisabeth M. Werner is a mathematician who works as a professor of mathematics at Case Western Reserve University, as associate director of the Institute for Mathematics and its Applications, and as maître de conférences at the Lille University of Science and Technology. Her research interests include convex geometry, ... |
Wikipedia:Elisha Netanyahu#0 | Elisha Netanyahu (Hebrew: אֱלִישָׁע נְתַנְיָהוּ; December 21, 1912 – April 3, 1986) was an Israeli mathematician specializing in complex analysis. Over the course of his work at the Technion he was the Dean of the Faculty of Sciences and established the separate Department of Mathematics. He was the brother of historia... |
Wikipedia:Elisha Scott Loomis#0 | Elisha Scott Loomis (September 18, 1852 – December 11, 1940) was an American teacher, mathematician, genealogist, writer and engineer. == Ancestry and early life == Elisha Scott Loomis, of English–Scottish and Pennsylvania Dutch ancestry, was born in a log-cabin in Wadsworth, Ohio, which at that time was a village in M... |
Wikipedia:Elizabeth Mansfield (mathematician)#0 | Elizabeth Louise Mansfield is an Australian mathematician whose research includes the study of moving frames and conservation laws for discretisations of physical systems. She is a Fellow of the Institute of Mathematics and its Applications and was a Vice-President thereof from January 2015 until December 2018. She was... |
Wikipedia:Elizabeth Williams (educationist)#0 | Elizabeth Williams (née Larby, formerly Emily May; 29 January 1895 – 29 March 1986) was a British mathematician and educationist. == Life == Williams was born on 29 January 1895 in Pimlico, London. She studied in Chelsea and Forest Gate during her childhood, and at the age of 16 began attending Bedford College, Univers... |
Wikipedia:Elizaveta Litvinova#0 | Elizaveta Fedorovna Litvinova (1845–1919?) was a Russian mathematician and pedagogue. She is the author of over 70 articles about mathematics education. == Early life and education == Born in 1845 in czarist Russia as Elizaveta Fedorovna Ivashkina, she completed her early education at a women's high school in Saint Pet... |
Wikipedia:Elja Arjas#0 | Elja Arjas (born February 9, 1943, in Tampere) is a Finnish mathematician and statistician. He is professor emeritus at the University of Helsinki. == Education and career == Arjas studied mathematics at the University of Helsinki and graduated with a bachelor's degree in philosophy in 1964. He graduated with a licenti... |
Wikipedia:Ellen Eischen#0 | Ellen Elizabeth Eischen (born 1979) is an American mathematician specializing in number theory, and especially in the analytic, geometric, and algebraic properties of automorphic forms and L-functions. She is a professor of mathematics at the University of Oregon and a von Neumann Fellow at the Institute for Advanced S... |
Wikipedia:Ellina Grigorieva#0 | Ellina Grigorieva is a Russian mathematician and mathematics educator known for her books on mathematical problem solving. She is a professor in the Texas Woman's University Department of Mathematics and Computer Science, and an expert on control theory and its applications to the spread of disease. == Education and ca... |
Wikipedia:Elling Holst#0 | Elling Bolt Holst (19 July 1849 – 2 September 1915) was a Norwegian mathematician, biographer and children's writer. == Early and personal life == Holst was born in Drammen, Norway. He was a son of bookseller Adolph Theodor Holst and Amalie Fredrikke Bergh. He was a grandson of merchant and politician, member of the St... |
Wikipedia:Elliptic algebra#0 | In algebra, an elliptic algebra is a certain regular algebra of a Gelfand–Kirillov dimension three (quantum polynomial ring in three variables) that corresponds to a cubic divisor in the projective space P2. If the cubic divisor happens to be an elliptic curve, then the algebra is called a Sklyanin algebra. The notion ... |
Wikipedia:Elliptic boundary value problem#0 | In the study of differential equations, a boundary-value problem is a differential equation subjected to constraints called boundary conditions. A solution to a boundary value problem is a solution to the differential equation which also satisfies the boundary conditions. Boundary value problems arise in several branch... |
Wikipedia:Elliptic operator#0 | In the theory of partial differential equations, elliptic operators are differential operators that generalize the Laplace operator. They are defined by the condition that the coefficients of the highest-order derivatives be positive, which implies the key property that the principal symbol is invertible, or equivalent... |
Wikipedia:Elod Macskasy#0 | Elod Macskasy (Hungarian: Macskásy Előd) (7 April 1919 – 21 January 1990) was a Hungarian-Canadian chess master. == Early life and education == Macskasy was born in Arad, which at the time was part of the Kingdom of Hungary, but was shortly afterwards ceded to Romania by the Treaty of Trianon. He completed his early sc... |
Wikipedia:Ely Merzbach#0 | Ely Yissachar Merzbach (Hebrew: עלי יששכר מרצבך; born 11 February 1950) is an Israeli mathematician and emeritus professor at Bar-Ilan University's Department of Mathematics and the Gonda Brain Research Center. == Biography == Ely Merzbach was born in 1950 in Paris, where he attended École Yabné. He immigrated to Israe... |
Wikipedia:Elza Furtado Gomide#0 | Elza Furtado Gomide (August 20, 1925 – October 26, 2013) was a Brazilian mathematician and the first woman to receive a doctorate in mathematics from the University of São Paulo, in 1950, and the second in Brazil. Gomide was involved in the creation of the Society of Mathematics of São Paulo and was elected head of the... |
Wikipedia:Eléna Wexler-Kreindler#0 | Eléna Wexler-Kreindler (15 October 1931 – August 1992) was a Romanian mathematician. She spent most of her professional career in France, where she specialized in modern algebra and studied the Ore extensions, the theory of the filtration of rings, or algebraic microlocalisation. == Career == Kreindler was born on 15 O... |
Wikipedia:Emanuel Derman#0 | Emanuel Derman (born 1945) is a South African-born academic, businessman and writer. He is best known as a quantitative analyst, and author of the book My Life as a Quant: Reflections on Physics and Finance. He is a co-author of Black–Derman–Toy model, one of the first interest-rate models, and the Derman–Kani local vo... |
Wikipedia:Emanuel Lasker#0 | Emanuel Lasker (German pronunciation: [eˈmaːnuɛl ˈlaskɐ] ; December 24, 1868 – January 11, 1941) was a German chess player, mathematician, and philosopher. He was the second World Chess Champion, holding the title for 27 years, from 1894 to 1921, the longest reign of any officially recognised World Chess Champion, winn... |
Wikipedia:Emanuel Lodewijk Elte#0 | Emanuel Lodewijk Elte (16 March 1881 in Amsterdam – 9 April 1943 in Sobibór) was a Dutch mathematician. He is noted for discovering and classifying semiregular polytopes in dimensions four and higher. Elte's father Hartog Elte was headmaster of a school in Amsterdam. Emanuel Elte married Rebecca Stork in 1912 in Amster... |
Wikipedia:Embedding#0 | In mathematics, an embedding (or imbedding) is one instance of some mathematical structure contained within another instance, such as a group that is a subgroup. When some object X {\displaystyle X} is said to be embedded in another object Y {\displaystyle Y} , the embedding is given by some injective and structure-pre... |
Wikipedia:Emil Artin#0 | Emil Artin (German: [ˈaʁtiːn]; March 3, 1898 – December 20, 1962) was an Austrian mathematician of Armenian descent. Artin was one of the leading mathematicians of the twentieth century. He is best known for his work on algebraic number theory, contributing largely to class field theory and a new construction of L-func... |
Wikipedia:Emil J. Straube#0 | Emil Josef Straube is a Swiss and American mathematician. == Education and career == He received from ETH Zurich in 1977 his diploma in mathematics and in 1983 his doctorate in mathematics. For the academic year 1983–1984 Straube was a visiting research scholar at the University of North Carolina at Chapel Hill. He was... |
Wikipedia:Emil Spjøtvoll#0 | Emil Oskar Spjøtvoll (21 July 1940 – 4 March 2002) was a Norwegian mathematician and statistician. == Early life == Spjøtvoll was born in Hemne Municipality. He finished his secondary education in 1959 at Trondheim Cathedral School, took the cand.mag. degree at the University of Oslo in 1962 and then the cand.real. deg... |
Wikipedia:Emilio Baiada#0 | Emilio Baiada (January 12, 1914 in Tunis – May 14, 1984 in Modena) (also known as Emilio Bajada) was an Italian mathematician. == Education and career == He studied at the Scuola Normale Superiore in Pisa, where he graduated with highest honors in June 1937 along with Leonida Tonelli, with whom he worked as an assistan... |
Wikipedia:Emily E. Witt#0 | Emily Elspeth Witt is an American mathematician, an associate professor and Keeler Intra-University Professor of mathematics at the University of Kansas. Her research involves commutative algebra, representation theory, and singularity theory. == Education and career == Witt is a 2005 graduate of the University of Chic... |
Wikipedia:Emma Castelnuovo#0 | Emma Castelnuovo (12 December 1913 – 13 April 2014) was an Italian mathematician and teacher of Jewish descent. In 2013, the year of her 100th birthday, the International Commission on Mathematical Instruction created an award named after Castelnuovo to recognize outstanding contributions to mathematics education. == E... |
Wikipedia:Emma McCoy#0 | Emma Joan McCoy is the Vice President and Pro-Vice Chancellor for Education and a Professor of Statistics at the London School of Economics and Political Science. She has acted as a mathematics subject expert for discussions on reform of the National Curriculum, and has been a member of the Royal Statistical Society co... |
Wikipedia:Emmanuel Carvallo#0 | Emmanuel Carvallo (1856–1945) was a French mathematician born in Narbonne. He is notable for showing in 1897 that bicycles could be self-stable, for opposing wave models of X-rays in 1900, and for claiming in 1912 that Einstein's Theory of Relativity had been proven false. == References == |
Wikipedia:Emmanuel David Tannenbaum#0 | Emmanuel David Tannenbaum (June 28, 1978 – May 28, 2012) was an Israeli/American biophysicist and applied mathematician. He worked as a professor and researcher in the department of chemistry at the Ben-Gurion University of the Negev and the department of biology at the Georgia Institute of Technology, specializing in ... |
Wikipedia:Emmanuel Ullmo#0 | Emmanuel Ullmo (born 25 June 1965) is a French mathematician, specialised in arithmetic geometry. Since 2013 he has served as director of the Institut des Hautes Études scientifiques. == Education == Ullmo wrote his thesis under Lucien Szpiro at the University of Paris-Sud in 1993. == Career == Ullmo was appointed a pr... |
Wikipedia:Emmy Noether bibliography#0 | Emmy Noether was a German mathematician. This article lists the publications upon which her reputation is built (in part). == First epoch (1908–1919) == == Second epoch (1920–1926) == In the second epoch, Noether turned her attention to the theory of rings. With her paper Moduln in nichtkommutativen Bereichen, insbeson... |
Wikipedia:En-ring#0 | In mathematics, an E n {\displaystyle {\mathcal {E}}_{n}} -algebra in a symmetric monoidal infinity category C consists of the following data: An object A ( U ) {\displaystyle A(U)} for any open subset U of Rn homeomorphic to an n-disk. A multiplication map: μ : A ( U 1 ) ⊗ ⋯ ⊗ A ( U m ) → A ( V ) {\displaystyle \mu :A... |
Wikipedia:Encyclopedia of the Brethren of Purity#0 | The Encyclopedia of the Brethren of Purity (Arabic: رسائل إخوان الصفا, Rasā'il Ikhwān al-ṣafā') also variously known as the Epistles of the Brethren of Sincerity, Epistles of the Brethren of Purity and Epistles of the Brethren of Purity and Loyal Friends is an Islamic encyclopedia in 52 treatises (rasā'il) written by t... |
Wikipedia:Endre Pap#0 | Endre Pap is a mathematician in Serbia. He is a former rector and a professor emeritus of the Singidunum University in Belgrade. Pap was born 26 February 1947 in Mali Iđoš in Vojvodina, Yugoslavia. B.Sc. 1970. M.Sc. 1973. Ph.D. 1975. Full Professor since 1986 at the Faculty of Sciences of the university in Novi Sad. Di... |
Wikipedia:Endre Szemerédi#0 | Endre Szemerédi (Hungarian: [ˈɛndrɛ ˈsɛmɛreːdi]; born August 21, 1940) is a Hungarian-American mathematician and computer scientist, working in the field of combinatorics and theoretical computer science. He has been the State of New Jersey Professor of computer science at Rutgers University since 1986. He also holds a... |
Wikipedia:Endre Süli#0 | Endre Süli (also, Endre Suli or Endre Šili) is a mathematician. He is Professor of Numerical Analysis in the Mathematical Institute, University of Oxford, Fellow and Tutor in Mathematics at Worcester College, Oxford and Adjunct Fellow of Linacre College, Oxford. He was educated at the University of Belgrade and, as a B... |
Wikipedia:Ene-Margit Tiit#0 | Tiit is predominantly an Estonian masculine given name and occurs, to a lesser extent, as a surname. Given name Tiit Arge (born 1963), politician Tiit Helimets (born 1977), ballet dancer Tiit Haagma (1954–2021), ice yacht sailor and musician (Ruja) Tiit Härm (born 1946), ballet dancer, ballet master and choreographer T... |
Wikipedia:Engel expansion#0 | The Engel expansion of a positive real number x is the unique non-decreasing sequence of positive integers ( a 1 , a 2 , a 3 , … ) {\displaystyle (a_{1},a_{2},a_{3},\dots )} such that x = 1 a 1 + 1 a 1 a 2 + 1 a 1 a 2 a 3 + ⋯ = 1 a 1 ( 1 + 1 a 2 ( 1 + 1 a 3 ( 1 + ⋯ ) ) ) {\displaystyle x={\frac {1}{a_{1}}}+{\frac {1}{a... |
Wikipedia:Engel subalgebra#0 | In mathematics, an Engel subalgebra of a Lie algebra with respect to some element x is the subalgebra of elements annihilated by some power of ad x. Engel subalgebras are named after Friedrich Engel. For finite-dimensional Lie algebras over infinite fields the minimal Engel subalgebras are the Cartan subalgebras. == Se... |
Wikipedia:Enn Tõugu#0 | Enn Tõugu (20 May 1935 Tallinn – 30 March 2020) was an Estonian computer scientist and mathematician. He dealt with system programming, declarative languages and topics related to artificial intelligence. In 1960s, he focused on the design and construction of the original STEM mini computer (:et). He was a candidate in... |
Wikipedia:Enok Palm#0 | Enok Johannes Palm (5 December 1924 – 31 August 2012) was a Norwegian mathematician. He was born in Kristiansand. He took the cand.real. degree in 1950 and the dr.philos. degree at the University of Oslo in 1954. He was a professor in mechanics at the Norwegian Institute of Technology from 1960 to 1963 and professor of... |
Wikipedia:Enrique Planchart#0 | Enrique Aurelio Planchart Rotundo (3 April 1937 – 27 July 2021) was a Venezuelan mathematician and academic. He was rector of Simón Bolívar University in Caracas from 2009 until his death in 2021. == Career == Planchart graduated as a Bachelor of Science from the Central University of Venezuela and obtained his Doctora... |
Wikipedia:Enrique Pujals#0 | Enrique Ramiro Pujals is an Argentine-Brazilian mathematician known for his contributions to the understanding of dynamical systems. Since fall of 2018, he has been a professor at the Graduate Center at the City University of New York. == Education == After earning an undergraduate degree in mathematics at the Universi... |
Wikipedia:Enrique Zuazua#0 | Enrique Zuazua (Iriondo, second family name) is the Head of the Chair for Dynamics, Control, Machine Learning and Numerics - FAU DCN-AvH (Alexander von Humboldt Professorship) at the University of Erlangen–Nuremberg (FAU). He is also Distinguished Research Professor and the Director of the Chair of Computational Mathem... |
Wikipedia:Enriqueta González Baz#0 | Enriqueta González Baz y de la Vega (September 22, 1915 – December 22, 2002) was a Mexican mathematician, a co-founder of the Mexican Mathematical Society, and the first woman to earn a degree in mathematics at the National Autonomous University of Mexico in 1944. == Early life == Enriqueta González Baz was born in Mex... |
Wikipedia:Entanglement-assisted stabilizer formalism#0 | In the theory of quantum communication, the entanglement-assisted stabilizer formalism is a method for protecting quantum information with the help of entanglement shared between a sender and receiver before they transmit quantum data over a quantum communication channel. It extends the standard stabilizer formalism by... |
Wikipedia:Enumerator polynomial#0 | In coding theory, the weight enumerator polynomial of a binary linear code specifies the number of words of each possible Hamming weight. Let C ⊂ F 2 n {\displaystyle C\subset \mathbb {F} _{2}^{n}} be a binary linear code of length n {\displaystyle n} . The weight distribution is the sequence of numbers A t = # { c ∈ C... |
Wikipedia:Envelope theorem#0 | In mathematics and economics, the envelope theorem is a major result about the differentiability properties of the value function of a parameterized optimization problem. As we change parameters of the objective, the envelope theorem shows that, in a certain sense, changes in the optimizer of the objective do not contr... |
Wikipedia:Enzo Tonti#0 | Enzo Tonti (30 October 1935 – 10 June 2021) was an Italian physicist and mathematician, known for his contributions to engineering and mathematical physics. == Life == Enzo Tonti was born in Milan. He attended a fine arts high school. He graduated in Mathematics and Physics at the University of Milan in 1961. He began ... |
Wikipedia:Epigraph (mathematics)#0 | In mathematics, the epigraph or supergraph of a function f : X → [ − ∞ , ∞ ] {\displaystyle f:X\to [-\infty ,\infty ]} valued in the extended real numbers [ − ∞ , ∞ ] = R ∪ { ± ∞ } {\displaystyle [-\infty ,\infty ]=\mathbb {R} \cup \{\pm \infty \}} is the set epi f = { ( x , r ) ∈ X × R : r ≥ f ( x ) } {\displaystyle... |
Wikipedia:Equal incircles theorem#0 | In geometry, the equal incircles theorem derives from a Japanese Sangaku, and pertains to the following construction: a series of rays are drawn from a given point to a given line such that the inscribed circles of the triangles formed by adjacent rays and the base line are equal. In the illustration the equal blue cir... |
Wikipedia:Equating coefficients#0 | In mathematics, the method of equating the coefficients is a way of solving a functional equation of two expressions such as polynomials for a number of unknown parameters. It relies on the fact that two expressions are identical precisely when corresponding coefficients are equal for each different type of term. The m... |
Wikipedia:Equation#0 | Education is the transmission of knowledge and skills and the development of character traits. Formal education occurs within a structured institutional framework, such as public schools, following a curriculum. Non-formal education also follows a structured approach but occurs outside the formal schooling system, whil... |
Wikipedia:Equiareal map#0 | In differential geometry, an equiareal map, sometimes called an authalic map, is a smooth map from one surface to another that preserves the areas of figures. == Properties == If M and N are two Riemannian (or pseudo-Riemannian) surfaces, then an equiareal map f from M to N can be characterized by any of the following ... |
Wikipedia:Equicontinuity#0 | In mathematical analysis, a family of functions is equicontinuous if all the functions are continuous and they have equal variation over a given neighbourhood, in a precise sense described herein. In particular, the concept applies to countable families, and thus sequences of functions. Equicontinuity appears in the fo... |
Wikipedia:Equioscillation theorem#0 | In mathematics, the equioscillation theorem concerns the approximation of continuous functions using polynomials when the merit function is the maximum difference (uniform norm). Its discovery is attributed to Chebyshev. == Statement == Let f {\displaystyle f} be a continuous function from [ a , b ] {\displaystyle [a,b... |
Wikipedia:Equivalence class#0 | In mathematics, when the elements of some set S {\displaystyle S} have a notion of equivalence (formalized as an equivalence relation), then one may naturally split the set S {\displaystyle S} into equivalence classes. These equivalence classes are constructed so that elements a {\displaystyle a} and b {\displaystyle b... |
Wikipedia:Erasmus Fröhlich#0 | Erasmus Fröhlich (2 October 1700 – 7 July 1758) was an Austrian Jesuit mathematics teacher and numismatist. He also took an interest in history and astronomy. As a teacher at the Theresianum, he influenced a number of studies in the region in history, mathematics, and astronomy. He also served as the librarian at the T... |
Wikipedia:Erdal Arıkan#0 | Erdal Arıkan (born 1958) is a Turkish professor in Electrical and Electronics Engineering Department at Bilkent University, Ankara, Turkey. He is known for his invention of polar codes, which is a key component of 5G technologies. == Early life and education == The son of a doctor and a homemaker, Erdal Arikan was born... |
Wikipedia:Erdős–Graham problem#0 | In combinatorial number theory, the Erdős–Graham problem is the problem of proving that, if the set { 2 , 3 , 4 , … } {\displaystyle \{2,3,4,\dots \}} of integers greater than one is partitioned into finitely many subsets, then one of the subsets can be used to form an Egyptian fraction representation of unity. That is... |
Wikipedia:Erdős–Straus conjecture#0 | The Erdős–Straus conjecture is an unproven statement in number theory. The conjecture is that, for every integer n {\displaystyle n} that is greater than or equal to 2, there exist positive integers x {\displaystyle x} , y {\displaystyle y} , and z {\displaystyle z} for which 4 n = 1 x + 1 y + 1 z . {\displaystyle {\fr... |
Wikipedia:Eric Jakeman#0 | Eric Jakeman (born 1939) is a British mathematical physicist specialising in the statistics and quantum statistics of waves. He is an emeritus professor at the University of Nottingham. == Education == Jakeman was educated at The Brunts School in Mansfield, England. He received a degree in mathematical physics from Bir... |
Wikipedia:Eric Stephen Barnes#0 | Eric Stephen Barnes (1924–2000), was an Australian pure mathematician. He was awarded the Thomas Ranken Lyle Medal in 1959, and was (Sir Thomas) Elder Professor of Mathematics at the University of Adelaide. He was elected a Fellow of the Australian Academy of Science in 1954. He was born in Cardiff, Wales, 16 January 1... |
Wikipedia:Eric Vanden-Eijnden#0 | Eric Vanden-Eijnden is a professor of mathematics at the Courant Institute of Mathematical Sciences, New York University. Vanden-Eijnden earned his doctorate in 1997 from the Université libre de Bruxelles under the supervision of Radu Bălescu. In 2009 he was awarded the Germund Dahlquist Prize of the Society for Indust... |
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