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Wikipedia:Arnljot Høyland#0
Arnljot Høyland (19 February 1924 – 21 December 2002) was a Norwegian mathematical statistician. == Biography == Høyland was born in Bærum. He studied at the University of Oslo and later at the University of California, Berkeley in the USA. While a student he worked for the intelligence department at the Norwegian High...
Wikipedia:Arnold Dresden#0
Arnold Dresden (1882–1954) was a Dutch-American mathematician, known for his work in the calculus of variations and collegiate mathematics education. He was a president of the Mathematical Association of America and a member of the American Philosophical Society. == Background == Dresden was born in Amsterdam on Novemb...
Wikipedia:Arnold's spectral sequence#0
In mathematics, Arnold's spectral sequence (also spelled Arnol'd) is a spectral sequence used in singularity theory and normal form theory as an efficient computational tool for reducing a function to canonical form near critical points. It was introduced by Vladimir Arnold in 1975. == Definition == == References ==
Wikipedia:Arnon Avron#0
Arnon Avron (Hebrew: ארנון אברון; born 1952) is an Israeli mathematician and Professor at the School of Computer Science at Tel Aviv University. His research focuses on applications of mathematical logic to computer science and artificial intelligence. == Biography == Born in Tel Aviv in 1952, Arnon Avron studied mathe...
Wikipedia:Aron Simis#0
Aron Simis is a mathematician born in Recife, Brazil in 1942. He is a full professor at the Universidade Federal de Pernambuco, Brazil, and Class A research scholarship recipient from the Brazilian Research Council. He earned his PhD from Queen's University, Canada. He has previously held a full professorship at IMPA (...
Wikipedia:Arran Fernandez#0
Arran Fernandez (born June 1995) is a British mathematician who, in June 2013, became Senior Wrangler at Cambridge University, aged 18 years and 0 months. He is thought to be the youngest Senior Wrangler ever. == Biography == Prior to university, Fernandez was educated at home, predominantly by his father, Neil Fernand...
Wikipedia:Arthur Preston Mellish#0
Arthur Preston Mellish (10 June 1905 – 7 February 1930) was a Canadian mathematician, known for his generalization of Barbier's theorem. Arthur Mellish received in 1928 an M.A. in mathematics from the University of British Columbia with thesis An illustrative example of the ellipsoid pendulum. He died at age 24 and had...
Wikipedia:Arthur Stanley Mackenzie#0
Arthur Stanley Mackenzie (September 20, 1865 – October 2, 1938) was a Canadian physicist and university president. He was born in Pictou, Nova Scotia and educated at Dalhousie University, Halifax, and Johns Hopkins University. He was instructor in mathematics at Dalhousie from 1887 to 1889. At Bryn Mawr College, Pennsy...
Wikipedia:Arthur's conjectures#0
In mathematics, the Arthur conjectures refer to a set of conjectures proposed by James Arthur in 1989. These conjectures pertain to the properties of automorphic representations of reductive groups over adele rings and the unitary representations of reductive groups over local fields. Arthur’s work, which was motivated...
Wikipedia:Artin's constant#0
In number theory, Artin's conjecture on primitive roots states that a given integer a that is neither a square number nor −1 is a primitive root modulo infinitely many primes p. The conjecture also ascribes an asymptotic density to these primes. This conjectural density equals Artin's constant or a rational multiple th...
Wikipedia:Artin–Mazur zeta function#0
In mathematics, the Artin–Mazur zeta function, named after Michael Artin and Barry Mazur, is a function that is used for studying the iterated functions that occur in dynamical systems and fractals. It is defined from a given function f {\displaystyle f} as the formal power series ζ f ( z ) = exp ⁡ ( ∑ n = 1 ∞ | Fix ⁡ ...
Wikipedia:Arto Salomaa#0
Arto Kustaa Salomaa (6 June 1934 – 26 January 2025) was a Finnish mathematician and computer scientist. His research career, which spanned over 40 years, was focused on formal languages and automata theory. == Early life and education == Salomaa was born in Turku, Finland on 6 June 1934. He earned a Bachelor's degree f...
Wikipedia:Arturo Reghini#0
Arturo Reghini (12 November 1878 – 1 July 1946) was an Italian mathematician, philosopher and esotericist. == Biography == Arturo Reghini was born in Florence on 12 November 1878. In 1898, he became a member of the Theosophical Society for which he founded a section in Rome. In 1903, he published in Palermo the first b...
Wikipedia:Aryabhatiya#0
Aryabhata ( ISO: Āryabhaṭa) or Aryabhata I (476–550 CE) was the first of the major mathematician-astronomers from the classical age of Indian mathematics and Indian astronomy. His works include the Āryabhaṭīya (which mentions that in 3600 Kali Yuga, 499 CE, he was 23 years old) and the Arya-siddhanta. For his explicit ...
Wikipedia:Asano contraction#0
In complex analysis, a discipline in mathematics, and in statistical physics, the Asano contraction or Asano–Ruelle contraction is a transformation on a separately affine multivariate polynomial. It was first presented in 1970 by Taro Asano to prove the Lee–Yang theorem in the Heisenberg spin model case. This also yiel...
Wikipedia:Asher Kravitz#0
Asher Kravitz (Hebrew: אשר קרביץ; born 1969), is an Israeli author and lecturer on physics and mathematics at the Academic College of Engineering in Jerusalem and the Open University. He is also an animal rights activist and wildlife photographer. == Biography == Kravitz was born in Jerusalem and raised in a traditiona...
Wikipedia:Askar Dzhumadildayev#0
Askar Dzhumadildayev (Kazakh: Асқар Серқұлұлы Жұмаділдаев, Asqar Serqūlūly Jūmadıldaev; born 25 February 1956) is a Kazakh mathematician, doctor of physics and mathematics, professor, and a Full Member of the Kazakhstan National Academy of Science. He was also member Supreme Council of Kazakh SSR and Republic of Kazakh...
Wikipedia:Askold Khovanskii#0
Askold Georgievich Khovanskii (Russian: Аскольд Георгиевич Хованский; born 3 June 1947, Moscow) is a Russian and Canadian mathematician currently a professor of mathematics at the University of Toronto, Canada. His areas of research are algebraic geometry, commutative algebra, singularity theory, differential geometry ...
Wikipedia:Askold Vinogradov#0
Askold Ivanovich Vinogradov (Russian: Аско́льд Ива́нович Виногра́дов; 1929 – 31 December 2005) was a Russian mathematician who worked in analytic number theory. The Bombieri–Vinogradov theorem is partially named after him. == References == == External links == Publications of A.I. Vinogradov
Wikipedia:Aslak Tveito#0
Aslak Tveito (born 17 February 1961) is a Norwegian scientist in the field of numerical analysis and scientific computing. Tveito was the Managing Director of the Simula Research Laboratory, a Norwegian research center owned by the Norwegian Government, and is Professor of Scientific Computing at the University of Oslo...
Wikipedia:Assaf Naor#0
Assaf Naor (Hebrew: אסף נאור; born May 7, 1975) is an Israeli American and Czech mathematician, computer scientist, and a professor of mathematics at Princeton University. == Academic career == Naor earned a baccalaureate from Hebrew University of Jerusalem in 1996 and a doctorate from the same university in 2002, unde...
Wikipedia:Association of Mathematics Teachers of India#0
The Association of Mathematics Teachers of India or AMTI is an academically oriented body of professionals and students interested in the fields of mathematics and mathematics education. The AMTI's main base is Tamil Nadu, but it has recently been spreading its network in other parts of India, particularly in South Ind...
Wikipedia:Association of Teachers of Mathematics#0
The Association of Teachers of Mathematics (ATM) was established by Caleb Gattegno in 1950 to encourage the development of mathematics education to be more closely related to the needs of the learner. ATM is a membership organisation representing a community of students, nursery, infant, primary, secondary and tertiary...
Wikipedia:Associative property#0
In mathematics, the associative property is a property of some binary operations that rearranging the parentheses in an expression will not change the result. In propositional logic, associativity is a valid rule of replacement for expressions in logical proofs. Within an expression containing two or more occurrences i...
Wikipedia:Associator#0
In abstract algebra, the term associator is used in different ways as a measure of the non-associativity of an algebraic structure. Associators are commonly studied as triple systems. == Ring theory == For a non-associative ring or algebra R, the associator is the multilinear map [ ⋅ , ⋅ , ⋅ ] : R × R × R → R {\display...
Wikipedia:Assouad dimension#0
In mathematics — specifically, in fractal geometry — the Assouad dimension is a definition of fractal dimension for subsets of a metric space. It was introduced by Patrice Assouad in his 1977 PhD thesis and later published in 1979, although the same notion had been studied in 1928 by Georges Bouligand. As well as being...
Wikipedia:Assyr Abdulle#0
Assyr Abdulle (19 January 1971 – 1 September 2021) was a Swiss mathematician. He specialized in numerical mathematics. == Biography == Abdulle earned a doctorate in mathematics under Gerhard Wanner and Ernst Hairer at the University of Geneva with the thesis Méthodes de Chebyshev basées sur des polynômes orthogonaux. H...
Wikipedia:Asthana Kolahalam#0
Asthana Kolahalam is the title of two different Tamil books both dealing with elementary mathematics but with totally different contents. One of them was published by Government Oriental Manuscripts Library (GOML), Madras (now Chennai) in 1951 with 167 pages and the other published by Saraswathi Mahal Library (SML), Th...
Wikipedia:Asuman Aksoy#0
Asuman Güven Aksoy is a Turkish-American mathematician whose research concerns topics in functional analysis, metric geometry, and operator theory including Banach spaces, measures of non-compactness, fixed points, Birnbaum–Orlicz spaces, real trees, injective metric spaces, and tight spans. She works at Claremont McKe...
Wikipedia:Asymmetric norm#0
In mathematics, an asymmetric norm on a vector space is a generalization of the concept of a norm. == Definition == An asymmetric norm on a real vector space X {\displaystyle X} is a function p : X → [ 0 , + ∞ ) {\displaystyle p:X\to [0,+\infty )} that has the following properties: Subadditivity, or the triangle inequa...
Wikipedia:Asymptote#0
In analytic geometry, an asymptote () of a curve is a line such that the distance between the curve and the line approaches zero as one or both of the x or y coordinates tends to infinity. In projective geometry and related contexts, an asymptote of a curve is a line which is tangent to the curve at a point at infinity...
Wikipedia:Asymptotic analysis#0
In mathematical analysis, asymptotic analysis, also known as asymptotics, is a method of describing limiting behavior. As an illustration, suppose that we are interested in the properties of a function f (n) as n becomes very large. If f(n) = n2 + 3n, then as n becomes very large, the term 3n becomes insignificant comp...
Wikipedia:Asymptotic expansion#0
In mathematics, an asymptotic expansion, asymptotic series or Poincaré expansion (after Henri Poincaré) is a formal series of functions which has the property that truncating the series after a finite number of terms provides an approximation to a given function as the argument of the function tends towards a particula...
Wikipedia:Asymptotic homogenization#0
In mathematics and physics, homogenization is a method of studying partial differential equations with rapidly oscillating coefficients, such as ∇ ⋅ ( A ( x → ϵ ) ∇ u ϵ ) = f {\displaystyle \nabla \cdot \left(A\left({\frac {\vec {x}}{\epsilon }}\right)\nabla u_{\epsilon }\right)=f} where ϵ {\displaystyle \epsilon } is ...
Wikipedia:Asymptotic safety in quantum gravity#0
Asymptotic safety (sometimes also referred to as nonperturbative renormalizability) is a concept in quantum field theory which aims at finding a consistent and predictive quantum theory of the gravitational field. Its key ingredient is a nontrivial fixed point of the theory's renormalization group flow which controls t...
Wikipedia:Asymptotology#0
Asymptotology has been defined as “the art of dealing with applied mathematical systems in limiting cases” as well as “the science about the synthesis of simplicity and exactness by means of localization". == Principles == The field of asymptotics is normally first encountered in school geometry with the introduction o...
Wikipedia:Athanase Dupré#0
Louis Victoire Athanase Dupré (28 December 1808 – 10 August 1869) was a French mathematician and physicist noted for his 1860s publications on the mechanical theory of heat (thermodynamics); work that was said to have inspired the publications of engineer François Massieu and his Massieu functions; which in turn inspir...
Wikipedia:Atiyah–Singer index theorem#0
In differential geometry, the Atiyah–Singer index theorem, proved by Michael Atiyah and Isadore Singer (1963), states that for an elliptic differential operator on a compact manifold, the analytical index (related to the dimension of the space of solutions) is equal to the topological index (defined in terms of some to...
Wikipedia:Atkinson–Mingarelli theorem#0
In applied mathematics, the Atkinson–Mingarelli theorem, named after Frederick Valentine Atkinson and A. B. Mingarelli, concerns eigenvalues of certain Sturm–Liouville differential operators. In the simplest of formulations let p, q, w be real-valued piecewise continuous functions defined on a closed bounded real inter...
Wikipedia:Atle Selberg#0
Atle Selberg (14 June 1917 – 6 August 2007) was a Norwegian mathematician known for his work in analytic number theory and the theory of automorphic forms, and in particular for bringing them into relation with spectral theory. He was awarded the Fields Medal in 1950 and an honorary Abel Prize in 2002. == Early years =...
Wikipedia:Atsuko Miyaji#0
Atsuko Miyaji (Japanese: 宮地充子, born 1965) is a Japanese cryptographer and number theorist known for her research on elliptic-curve cryptography and software obfuscation. She is a professor in the Division of Electrical, Electronic and Information Engineering, at Osaka University. == Education and career == Miyaji was b...
Wikipedia:Attic numerals#0
The Attic numerals are a symbolic number notation used by the ancient Greeks. They were also known as Herodianic numerals because they were first described in a 2nd-century manuscript by Herodian; or as acrophonic numerals (from acrophony) because the basic symbols derive from the first letters of the (ancient) Greek w...
Wikipedia:Attila Aşkar#0
Attila Aşkar (born September 4, 1943) is a Turkish civil engineer, scientist and former president of the Koç University in Rumelifeneri, Istanbul, Turkey during 2001 and 2009. == Life == Attila Aşkar was born on September 4, 1943 in Afyonkarahisar, Turkey. He is the son of Kemal and Nüzhet Aşkar, and was married to Els...
Wikipedia:Aubrey E. Landry#0
Aubrey Edward Landry (1880–1972) was a Canadian-American mathematician. He was the dissertation director of many of the earliest women to earn doctorates in mathematics in the United States, including the first African American woman to do so, Euphemia Haynes. == Early life and education == He was born in Westmorland, ...
Wikipedia:Augmentation (algebra)#0
In algebra, an augmentation of an associative algebra A over a commutative ring k is a k-algebra homomorphism A → k {\displaystyle A\to k} , typically denoted by ε. An algebra together with an augmentation is called an augmented algebra. The kernel of the augmentation is a two-sided ideal called the augmentation ideal ...
Wikipedia:August Kasvand#0
August Kasvand (December 30, 1890 – March 7, 1980) was an Estonian mathematician and educator. == Early life and education == Kasvand was born in Erastvere in the Governorate of Livonia, Russian Empire, the son of Gustav Kasvand (1865–1944) and Ann Kasvand (née Luts, 1868–1938). He attended the village school in Kärgul...
Wikipedia:Auguste Dick#0
Auguste Franziska Dick (née Kraus, 1910–1993) was an Austrian mathematician, historian of mathematics, and handwriting expert, known for her research on the history of mathematics under the Nazis, and for her biography of Emmy Noether. Dick earned a doctorate from the University of Vienna, and a teaching credential in ...
Wikipedia:Augustin Sesmat#0
Augustin Sesmat ((1885-04-07)April 7, 1885 Dieulouard -- December 12, 1957(1957-12-12) (aged 72)) was a French mathematician and logician. He was professor of history and criticism of science at the Institut Catholique de Paris in the 1930s. He was probably the first person to discover the logical hexagon, thus solving...
Wikipedia:Automatic differentiation#0
In mathematics and computer algebra, automatic differentiation (auto-differentiation, autodiff, or AD), also called algorithmic differentiation, computational differentiation, and differentiation arithmetic is a set of techniques to evaluate the partial derivative of a function specified by a computer program. Automati...
Wikipedia:Automorphic number#0
In mathematics, an automorphic number (sometimes referred to as a circular number) is a natural number in a given number base b {\displaystyle b} whose square "ends" in the same digits as the number itself. == Definition and properties == Given a number base b {\displaystyle b} , a natural number n {\displaystyle n} wi...
Wikipedia:Automorphism#0
In mathematics, an automorphism is an isomorphism from a mathematical object to itself. It is, in some sense, a symmetry of the object, and a way of mapping the object to itself while preserving all of its structure. The set of all automorphisms of an object forms a group, called the automorphism group. It is, loosely ...
Wikipedia:Autonomous convergence theorem#0
In mathematics, an autonomous convergence theorem is one of a family of related theorems which specify conditions guaranteeing global asymptotic stability of a continuous autonomous dynamical system. == History == The Markus–Yamabe conjecture was formulated as an attempt to give conditions for global stability of conti...
Wikipedia:Avadhesh Narayan Singh#0
Avadhesh Narayan Singh (Benares, 1901 – July 10, 1954) was an Indian mathematician and historian of mathematics. Singh received a master's degree from Banaras Hindu University in his hometown (Varanasi was then called Banaras or Benares) in 1924, where he was a student of Ganesh Prasad. He received his DSc in mathemati...
Wikipedia:Awi Federgruen#0
Awi Federgruen (born 1953, in Geneva) is a Dutch/American mathematician and operations researcher and Charles E. Exley Professor of Management at the Columbia Business School and affiliate professor at the university's Fu Foundation School of Engineering and Applied Science. == Biography == Federgruen received his BA f...
Wikipedia:Axel Sophus Guldberg#0
Axel Sophus Guldberg (2 November 1838 – 28 February 1913) was a Norwegian mathematician. == Biography == Born in Christiania (now called Oslo), Guldberg was the second oldest out of 11 siblings. He and his siblings were initially homeschooled, but he and his older brother, Cato Maximilian Guldberg, later began going to...
Wikipedia:Ax–Grothendieck theorem#0
In mathematics, the Ax–Grothendieck theorem is a result about injectivity and surjectivity of polynomials that was proved independently by James Ax and Alexander Grothendieck. The theorem is often given as this special case: If P {\displaystyle P} is an injective polynomial function from an n {\displaystyle n} -dimensi...
Wikipedia:Ayşe Şahin#0
Ayşe Arzu Şahin is a Turkish-American mathematician who works in dynamical systems. She was appointed the Dean of the College of Science and Mathematics at Wright State University in June 2020, and is a co-author of two textbooks on calculus and dynamical systems. == Education and career == Şahin graduated from Mount H...
Wikipedia:Azriel Lévy#0
Azriel Lévy (Hebrew: עזריאל לוי; born c. 1934) is an Israeli mathematician, logician, and a professor emeritus at the Hebrew University of Jerusalem. == Biography == Lévy obtained his Ph.D. at the Hebrew University of Jerusalem in 1958, under the supervision of Abraham Fraenkel and Abraham Robinson. Later, using Cohen'...
Wikipedia:A∞-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:B-theorem#0
In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other ...
Wikipedia:Babai's problem#0
Babai's problem is a problem in algebraic graph theory first proposed in 1979 by László Babai. == Babai's problem == Let G {\displaystyle G} be a finite group, let Irr ⁡ ( G ) {\displaystyle \operatorname {Irr} (G)} be the set of all irreducible characters of G {\displaystyle G} , let Γ = Cay ⁡ ( G , S ) {\displaystyle...
Wikipedia:Babuška–Lax–Milgram theorem#0
In mathematics, the Generalized–Lax–Milgram theorem is a generalization of the famous Lax–Milgram theorem, which gives conditions under which a bilinear form can be "inverted" to show the existence and uniqueness of a weak solution to a given boundary value problem. The result was proved by J Necas in 1962, and is a ge...
Wikipedia:Babylonian cuneiform numerals#0
Babylonian cuneiform numerals, also used in Assyria and Chaldea, were written in cuneiform, using a wedge-tipped reed stylus to print a mark on a soft clay tablet which would be exposed in the sun to harden to create a permanent record. The Babylonians, who were famous for their astronomical observations, as well as th...
Wikipedia:Babylonian mathematics#0
Babylonian mathematics (also known as Assyro-Babylonian mathematics) is the mathematics developed or practiced by the people of Mesopotamia, as attested by sources mainly surviving from the Old Babylonian period (1830–1531 BC) to the Seleucid from the last three or four centuries BC. With respect to content, there is s...
Wikipedia:Backus–Gilbert method#0
In mathematics, the Backus–Gilbert method, also known as the optimally localized average (OLA) method is named for its discoverers, geophysicists George E. Backus and James Freeman Gilbert. It is a regularization method for obtaining meaningful solutions to ill-posed inverse problems. Where other regularization methods...
Wikipedia:Bakhshali manuscript#0
The Bakhshali manuscript is an ancient Indian mathematical text written on birch bark that was found in 1881 in the village of Bakhshali, Mardan (near Peshawar in present-day Pakistan, historical Gandhara). It is perhaps "the oldest extant manuscript in Indian mathematics". For some portions a carbon-date was proposed ...
Wikipedia:Balachandra Rao#0
Nandalike Balachandra Rao (12 March 1953 – 14 May 2025) was an Indian journalist and writer who was the son of Nandalike Subba Rao and Girijamma. == Biography == He did his B.A. at Government college, Mangalore and Diploma in public relations and journalism at Mysore University. Former banker Nandalike Balachandra Rao,...
Wikipedia:Balanced set#0
In linear algebra and related areas of mathematics a balanced set, circled set or disk in a vector space (over a field K {\displaystyle \mathbb {K} } with an absolute value function | ⋅ | {\displaystyle |\cdot |} ) is a set S {\displaystyle S} such that a S ⊆ S {\displaystyle aS\subseteq S} for all scalars a {\displays...
Wikipedia:Banks–Zaks fixed point#0
In quantum chromodynamics (and also N = 1 super quantum chromodynamics) with massless flavors, if the number of flavors, Nf, is sufficiently small (i.e. small enough to guarantee asymptotic freedom, depending on the number of colors), the theory can flow to an interacting conformal fixed point of the renormalization gr...
Wikipedia:Bannihatti Parameshwarappa Dakshayani#0
Bannihatti (BP) Parameshwarappa Dakshayani is the former group director of the Flight Dynamics and Space Navigation groups of the Indian Space Research Organisation Satellite Centre. == Early life and education == Dakshayani was born and raised in Bhadravati, Karnataka. She was encouraged to study engineering by her fa...
Wikipedia:Bar complex#0
In mathematics, the bar complex, also called the bar resolution, bar construction, standard resolution, or standard complex, is a way of constructing resolutions in homological algebra. It was first introduced for the special case of algebras over a commutative ring by Samuel Eilenberg and Saunders Mac Lane (1953) and ...
Wikipedia:Barbara Csima#0
Barbara Flora Csima is a Canadian mathematician specializing in computability theory and mathematical logic. She is a professor of pure mathematics and associate chair for graduate studies at the University of Waterloo, and the 2024 president of the Canadian Mathematical Society. == Education and career == Csima studie...
Wikipedia:Barbara Keyfitz#0
Barbara Lee Keyfitz is a Canadian-American mathematician, the Dr. Charles Saltzer Professor of Mathematics at Ohio State University. In her research, she studies nonlinear partial differential equations and associated conservation laws. == Professional career == Keyfitz did her undergraduate studies at the University o...
Wikipedia:Barbara Rokowska#0
Barbara Rokowska (1926-2012) was a Polish mathematician known for her work on Steiner systems and certain problems posed by Paul Erdős. She was a professor at Wrocław University of Science and Technology. Rokowska received an undergraduate degree in Polish from the University of Wrocław in 1951. She later began a secon...
Wikipedia:Bareiss algorithm#0
In mathematics, the Bareiss algorithm, named after Erwin Bareiss, is an algorithm to calculate the determinant or the echelon form of a matrix with integer entries using only integer arithmetic; any divisions that are performed are guaranteed to be exact (there is no remainder). The method can also be used to compute t...
Wikipedia:Barlow's formula#0
Barlow's formula (called "Kesselformel" in German) relates the internal pressure that a pipe can withstand to its dimensions and the strength of its material. This approximate formula is named after Peter Barlow, an English mathematician. P = 2 σ θ s D {\displaystyle P={\frac {2\sigma _{\theta }s}{D}}} , where P {\disp...
Wikipedia:Bartel Leendert van der Waerden#0
Bartel Leendert van der Waerden (Dutch: [ˈbɑrtə(l) ˈleːndərt fɑn dər ˈʋaːrdə(n)]; 2 February 1903 – 12 January 1996) was a Dutch mathematician and historian of mathematics. == Biography == === Education and early career === Van der Waerden learned advanced mathematics at the University of Amsterdam and the University o...
Wikipedia:Bartolomeo Sovero#0
Bartolomeo Sovero (1576 – 23 July 1629) was a Swiss mathematician. == Biography == Sovero was born in Corbières in 1576. In 1594 he entered the Jesuit order and studied logic, mathematics and theology at the Jesuit College of Brera. In 1604 he left the Society of Jesus. in 1624 Sovero replaced Giovanni Camillo Glorioso...
Wikipedia:Baruch Barzel#0
Baruch Barzel (Hebrew: ברוך ברזל; March 19, 1976) is an Israeli physicist and applied mathematician at Bar-Ilan University, a member of the Gonda Multidisciplinary Brain Research Center and of the Bar-Ilan Data Science Institute. His main research areas are statistical physics, complex systems, nonlinear dynamics and n...
Wikipedia:Baruch Berliner#0
Baruch Berliner (Hebrew: ברוך ברלינר; born in 1942) is an Israeli composer, mathematician and poet. He is the author of musical works, songs, books, and articles. == Biography == Baruch Berliner was born in Tel Aviv. He completed his doctoral studies in mathematics at the University of Zurich in Switzerland, where he a...
Wikipedia:Barycentric coordinate system#0
In geometry, a barycentric coordinate system is a coordinate system in which the location of a point is specified by reference to a simplex (a triangle for points in a plane, a tetrahedron for points in three-dimensional space, etc.). The barycentric coordinates of a point can be interpreted as masses placed at the ver...
Wikipedia:Barzilai-Borwein method#0
The Barzilai-Borwein method is an iterative gradient descent method for unconstrained optimization using either of two step sizes derived from the linear trend of the most recent two iterates. This method, and modifications, are globally convergent under mild conditions, and perform competitively with conjugate gradien...
Wikipedia:Basic theorems in algebraic K-theory#0
Algebraic K-theory is a subject area in mathematics with connections to geometry, topology, ring theory, and number theory. Geometric, algebraic, and arithmetic objects are assigned objects called K-groups. These are groups in the sense of abstract algebra. They contain detailed information about the original object bu...
Wikipedia:Basis function#0
In mathematics, a basis function is an element of a particular basis for a function space. Every function in the function space can be represented as a linear combination of basis functions, just as every vector in a vector space can be represented as a linear combination of basis vectors. In numerical analysis and app...
Wikipedia:Baudhayana sutras#0
The Baudhāyana sūtras (Sanskrit: बौधायन सूत्रस् ) are a group of Vedic Sanskrit texts which cover dharma, daily ritual, mathematics and is one of the oldest Dharma-related texts of Hinduism that have survived into the modern age from the 1st-millennium BCE. They belong to the Taittiriya branch of the Krishna Yajurveda ...
Wikipedia:Bauer–Fike theorem#0
In mathematics, the Bauer–Fike theorem is a standard result in the perturbation theory of the eigenvalue of a complex-valued diagonalizable matrix. In its substance, it states an absolute upper bound for the deviation of one perturbed matrix eigenvalue from a properly chosen eigenvalue of the exact matrix. Informally s...
Wikipedia:Baxter permutation#0
In combinatorial mathematics, a Baxter permutation is a permutation σ ∈ S n {\displaystyle \sigma \in S_{n}} which satisfies the following generalized pattern avoidance property: There are no indices i < j < k {\displaystyle i<j<k} such that σ ( j + 1 ) < σ ( i ) < σ ( k ) < σ ( j ) {\displaystyle \sigma (j+1)<\sigma (...
Wikipedia:Beam and Warming scheme#0
In numerical mathematics, Beam and Warming scheme or Beam–Warming implicit scheme introduced in 1978 by Richard M. Beam and R. F. Warming, is a second order accurate implicit scheme, mainly used for solving non-linear hyperbolic equations. It is not used much nowadays. == Introduction == This scheme is a spatially fact...
Wikipedia:Beatrice Meini#0
Beatrice Meini (born 1968) is an Italian computational mathematician and numerical analyst specializing in numerical linear algebra and its applications to Markov chains, matrix equations, and queueing theory. She is Professor of Numerical Analysis in the Department of Mathematics at the University of Pisa. == Educatio...
Wikipedia:Beatrice Pelloni#0
Beatrice Pelloni is an Italian mathematician specialising in applied mathematical analysis and partial differential equations. She is a professor of mathematics at Heriot-Watt University in Edinburgh, the editor-in-chief of the Proceedings of the Royal Society of Edinburgh, Section A: Mathematics, and the chair of the ...
Wikipedia:Beatrice Rivière#0
Beatrice Marie Riviere is a computational and applied mathematician. She is the Noah Harding Chair and Professor in the department of computational and applied mathematics at Rice University. Her research involves developing efficient numerical methods for modeling fluids flowing through porous media. == Education and ...
Wikipedia:Beer's theorem#0
Wijsman convergence is a variation of Hausdorff convergence suitable for work with unbounded sets. Intuitively, Wijsman convergence is to convergence in the Hausdorff metric as pointwise convergence is to uniform convergence. == History == The convergence was defined by Robert Wijsman. The same definition was used earl...
Wikipedia:Begoña Fernández (mathematician)#0
María Asunción Begoña Fernández Fernández (published as Begoña Fernández) is a Mexican mathematician specializing in probability theory, stochastic processes, and mathematical finance. She is a professor of mathematics at the National Autonomous University of Mexico (UNAM). == Education == Fernández studied mathematics...
Wikipedia:Begoña Vitoriano#0
Begoña Vitoriano Villanueva (born 1967) is a Spanish applied mathematician and operations researcher whose work concerns the logistics of humanitarian aid and disaster relief. She is an associate professor in the Department of Statistics and Operational Research at the Complutense University of Madrid, and the presiden...
Wikipedia:Bell-shaped function#0
A bell-shaped function or simply 'bell curve' is a mathematical function having a characteristic "bell"-shaped curve. These functions are typically continuous or smooth, asymptotically approach zero for large negative/positive x, and have a single, unimodal maximum at small x. Hence, the integral of a bell-shaped funct...
Wikipedia:Bender–Knuth involution#0
In algebraic combinatorics, a Bender–Knuth involution is an involution on the set of semistandard tableaux, introduced by Bender & Knuth (1972, pp. 46–47) in their study of plane partitions. == Definition == The Bender–Knuth involutions σ k {\displaystyle \sigma _{k}} are defined for integers k {\displaystyle k} , and ...
Wikipedia:Bendixson's inequality#0
In mathematics, Bendixson's inequality is a quantitative result in the field of matrices derived by Ivar Bendixson in 1902. The inequality puts limits on the imaginary and real parts of characteristic roots (eigenvalues) of real matrices. A special case of this inequality leads to the result that characteristic roots o...
Wikipedia:Benjamin Martin (chess player)#0
Benjamin Martin (born 1969) is a New Zealand chess player and mathematician. He was awarded the title International Master (IM) by FIDE in 1996. == Chess career == Martin has represented New Zealand in four Chess Olympiads, in Novi Sad 1990, Manila 1992, Yerevan 1996, and Istanbul 2000. His best result was in 1996 when...
Wikipedia:Benjamin Muckenhoupt#0
Benjamin Muckenhoupt (December 22, 1933, Boston – April 13, 2020, Whippany, New Jersey) was an American mathematician, specializing in analysis. He is known for the introduction of Muckenhoupt weights. == Biography == After graduating in 1950 from Newton High School (renamed in 1974 Newton North High School), Benjamin ...
Wikipedia:Benjamin Weiss#0
Benjamin Weiss (Hebrew: בנימין ווייס; born 1941) is an American-Israeli mathematician known for his contributions to ergodic theory, topological dynamics, probability theory, game theory, and descriptive set theory. == Biography == Benjamin ("Benjy") Weiss was born in New York City. In 1962 he received B.A. from Yeshiv...