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Wikipedia:Benoit Perthame#0 | Benoit Perthame (born 23 June 1959 in France) is a French mathematician, who deals with non-linear partial differential equations and their applications in biology. He is a professor at Pierre-et-Marie Curie University and at the Laboratoire Jacques-Louis Lions, which he directs. == Career == Perthame studied at the Éc... |
Wikipedia:Bent Fuglede#0 | Bent Fuglede (8 October 1925 – 7 December 2023) was a Danish mathematician. == Early life and career == Fuglede was known for his contributions to mathematical analysis, in particular functional analysis, where he proved Fuglede's theorem and stated Fuglede's conjecture. Fuglede graduated from Skt. Jørgens Gymnasium 19... |
Wikipedia:Bentsion Fleishman#0 | Bentsion Fleishman (Флейшман, Бенцион Шимонович, born 21 November 1923) is a Russian scientist in the field of mathematical statistics, combinatorial analysis and their applications, doctor of physical and mathematical sciences, professor, author of constructive information theory and the theory of potential efficiency... |
Wikipedia:Beppo Levi#0 | Beppo Levi (14 May 1875 – 28 August 1961) was an Italian mathematician. He published high-level academic articles and books on mathematics as well as on physics, history, philosophy, and pedagogy. Levi was a member of the Bologna Academy of Sciences and of the Accademia dei Lincei. == Early years == Beppo Levi was born... |
Wikipedia:Berit Stensønes#0 | Berit Stensønes (19 February 1956 – 5 June 2022) was a Norwegian mathematician specializing in complex analysis and complex dynamics and known for her work on several complex variables. She was a professor of mathematical sciences at the Norwegian University of Science and Technology (NTNU), and a professor emerita at ... |
Wikipedia:Berlekamp's algorithm#0 | In mathematics, particularly computational algebra, Berlekamp's algorithm is a well-known method for factoring polynomials over finite fields (also known as Galois fields). The algorithm consists mainly of matrix reduction and polynomial GCD computations. It was invented by Elwyn Berlekamp in 1967. It was the dominant ... |
Wikipedia:Berlekamp–Rabin algorithm#0 | Elwyn Ralph Berlekamp (September 6, 1940 – April 9, 2019) was a professor of mathematics and computer science at the University of California, Berkeley. Berlekamp was widely known for his work in computer science, coding theory and combinatorial game theory. Berlekamp invented an algorithm to factor polynomials and the... |
Wikipedia:Berlekamp–Zassenhaus algorithm#0 | Elwyn Ralph Berlekamp (September 6, 1940 – April 9, 2019) was a professor of mathematics and computer science at the University of California, Berkeley. Berlekamp was widely known for his work in computer science, coding theory and combinatorial game theory. Berlekamp invented an algorithm to factor polynomials and the... |
Wikipedia:Berlin Papyrus 6619#0 | The Berlin Papyrus 6619, simply called the Berlin Papyrus when the context makes it clear, is one of the primary sources of ancient Egyptian mathematics. One of the two mathematics problems on the Papyrus may suggest that the ancient Egyptians knew the Pythagorean theorem. == Description, dating, and provenance == The ... |
Wikipedia:Berlin workshops on Babylonian mathematics#0 | The Berlin workshops were a series of six workshops that took place between 1983 and 1994 and focused on mathematical conceptualization and notation in a number of early writing systems. Although the names of the workshops varied slightly over time, most included the phase "conceptual development of Babylonian mathemat... |
Wikipedia:Bernard Bolzano#0 | Bernard Bolzano (UK: , US: ; German: [bɔlˈtsaːno]; Italian: [bolˈtsaːno]; born Bernardus Placidus Johann Nepomuk Bolzano; 5 October 1781 – 18 December 1848) was a Bohemian mathematician, logician, philosopher, theologian and Catholic priest of Italian extraction, also known for his liberal views. Bolzano wrote in Germa... |
Wikipedia:Bernard Epstein#0 | Bernard Epstein (10 August 1920, Harrison, New Jersey – 30 March 2005, Montgomery County, Maryland) was an American mathematician and physicist who wrote several widely used textbooks on mathematics. Epstein was the son of Jewish immigrants from Lithuania and Romania, Yitzkhak Aharon Epstein and Sophie-Sarah née Golden... |
Wikipedia:Bernard Morin#0 | Bernard Morin (French: [mɔʁɛ̃]; 3 March 1931 in Shanghai, China – 12 March 2018) was a French mathematician, specifically a topologist. == Early life and education == Morin lost his sight at the age of six due to glaucoma, but his blindness did not prevent him from having a successful career in mathematics. He received... |
Wikipedia:Bernard Roy#0 | Bernard Roy (French pronunciation: [bɛʁnaʁ ʁwa]; 15 March 1934 – 28 October 2017) was an emeritus professor at the Université Paris-Dauphine. In 1974 he founded the "Laboratoire d'Analyse et de Modélisation des Systèmes pour l'Aide à la Décision" (Lamsade). He was President of Association of European Operational Resear... |
Wikipedia:Bernard Russell Gelbaum#0 | Bernard Russell Gelbaum (died March 22, 2005, Laguna Beach, California) was a mathematician and academic administrator having served as a professor at the University of Minnesota, University of California, Irvine (where he was the first chair of the math department as well as acting dean and associate dean of physical ... |
Wikipedia:Bernard Vauquois#0 | Bernard Vauquois ((1929-06-14)June 14, 1929 — (1985-09-30)September 30, 1985) was a French mathematician and computer scientist. He was a pioneer of computer science and machine translation (MT) in France. An astronomer-turned-computer scientist, he is known for his work on the programming language ALGOL 60, and later ... |
Wikipedia:Bernd Sturmfels#0 | Bernd Sturmfels (born March 28, 1962, in Kassel, West Germany) is a Professor of Mathematics and Computer Science at the University of California, Berkeley and is a director of the Max Planck Institute for Mathematics in the Sciences in Leipzig since 2017. == Education and career == He received his PhD in 1987 from the... |
Wikipedia:Bernhard Keller#0 | Bernhard Keller (born 1962) is a Swiss mathematician, specializing in algebra. He is a professor at the University of Paris. Keller received in 1990 his PhD from the University of Zurich under Pierre Gabriel with the thesis On Derived Categories. His research is in homological algebra and the representation theory of q... |
Wikipedia:Bernhard Neumann#0 | Bernhard Hermann Neumann (15 October 1909 – 21 October 2002) was a German-born British-Australian mathematician, who was a leader in the study of group theory. == Early life and education == After gaining a D.Phil. from Friedrich-Wilhelms Universität in Berlin in 1932 he earned a Ph.D. at the University of Cambridge in... |
Wikipedia:Bernoulli umbra#0 | In Umbral calculus, the Bernoulli umbra B − {\displaystyle B_{-}} is an umbra, a formal symbol, defined by the relation eval B − n = B n − {\displaystyle \operatorname {eval} B_{-}^{n}=B_{n}^{-}} , where eval {\displaystyle \operatorname {eval} } is the index-lowering operator, also known as evaluation operator and B... |
Wikipedia:Bernstein's problem#0 | In differential geometry, Bernstein's problem is as follows: if the graph of a function on Rn−1 is a minimal surface in Rn, does this imply that the function is linear? This is true for n at most 8, but false for n at least 9. The problem is named for Sergei Natanovich Bernstein who solved the case n = 3 in 1914. == St... |
Wikipedia:Bernstein–Kushnirenko theorem#0 | The Bernstein–Kushnirenko theorem (or Bernstein–Khovanskii–Kushnirenko (BKK) theorem), proven by David Bernstein and Anatoliy Kushnirenko in 1975, is a theorem in algebra. It states that the number of non-zero complex solutions of a system of Laurent polynomial equations f 1 = ⋯ = f n = 0 {\displaystyle f_{1}=\cdots =f... |
Wikipedia:Bernstein–Sato polynomial#0 | In mathematics, the Bernstein–Sato polynomial is a polynomial related to differential operators, introduced independently by Joseph Bernstein (1971) and Mikio Sato and Takuro Shintani (1972, 1974), Sato (1990). It is also known as the b-function, the b-polynomial, and the Bernstein polynomial, though it is not related ... |
Wikipedia:Bernt Michael Holmboe#0 | Bernt Michael Holmboe (23 March 1795 – 28 March 1850) was a Norwegian mathematician. He was home-tutored from an early age, and was not enrolled in school until 1810. Following a short period at the Royal Frederick University, which included a stint as assistant to Christopher Hansteen, Holmboe was hired as a mathemati... |
Wikipedia:Bert Peletier#0 | Lambertus Adrianus "Bert" Peletier (29 March 1937 – 16 December 2023) was a Dutch mathematician. He was a professor of analysis and applied mathematics at Leiden University from 1977 until his retirement in 2002. == Life == Lambertus Adrianus Peletier was born on 9 March 1937 in Rijswijk. His grandfather Benjamin Broer... |
Wikipedia:Bertram Martin Wilson#0 | Prof Bertram Martin Wilson FRSE (14 November 1896, London – 18 March 1935, Dundee, Scotland) was an English mathematician, remembered primarily as a co-editor, along with G. H. Hardy and P. V. Seshu Aiyar, of Srinivasa Ramanujan's Collected Papers. (It seems probable that Wilson did not know about Ramanujan's lost note... |
Wikipedia:Bertrand Toën#0 | Bertrand Toën (born September 17, 1973 in Millau, France) is a mathematician who works as a director of research at the Centre national de la recherche scientifique (CNRS) at the Paul Sabatier University, Toulouse, France. He received his PhD in 1999 from the Paul Sabatier University, where he was supervised by Carlos ... |
Wikipedia:Bertrand's postulate#0 | In number theory, Bertrand's postulate is the theorem that for any integer n > 3 {\displaystyle n>3} , there exists at least one prime number p {\displaystyle p} with n < p < 2 n − 2. {\displaystyle n<p<2n-2.} A less restrictive formulation is: for every n > 1 {\displaystyle n>1} , there is always at least one prime p ... |
Wikipedia:Beryl May Dent#0 | Beryl May Dent (10 May 1900 – 9 August 1977) was an English mathematical physicist, technical librarian, and a programmer of early analogue and digital computers to solve electrical engineering problems. She was born in Chippenham, Wiltshire, the eldest daughter of schoolteachers. The family left Chippenham in 1901, af... |
Wikipedia:Besicovitch covering theorem#0 | In mathematical analysis, a Besicovitch cover, named after Abram Samoilovitch Besicovitch, is an open cover of a subset E of the Euclidean space RN by balls such that each point of E is the center of some ball in the cover. The Besicovitch covering theorem asserts that there exists a constant cN depending only on the d... |
Wikipedia:Bess Marie Eversull#0 | Bess Marie Eversull Allen (1899 – 1978) was an American mathematician and one of the few women to earn a PhD in mathematics in the United States before World War II. She was the first woman to earn a PhD in mathematics from the University of Cincinnati. == Biography == Bess Eversull was born May 18, 1899, in Elmwood Pl... |
Wikipedia:Bethany Rose Marsh#0 | Bethany Rose Marsh is a mathematician working in the areas of cluster algebras, representation theory of finite-dimensional algebras, homological algebra, tilting theory, quantum groups, algebraic groups, Lie algebras and Coxeter groups. Marsh currently works at the University of Leeds as a Professor of pure mathematic... |
Wikipedia:Bettina Richmond#0 | Martha Bettina Richmond (née Zoeller, January 30, 1958 – November 22, 2009) was a German-American mathematician, mathematics textbook author, professor at Western Kentucky University, and murder victim. == Life == Richmond was born in Dresden on January 30, 1958, earned a vordiplom (the German equivalent of a bachelor'... |
Wikipedia:Betty Paërl#0 | Betty Paërl (1935 – 2022) was a Dutch mathematician, writer, dominatrix, and transgender rights activist. == Biography == === Early life and education (1935 – 1968) === Betty Paërl was born in Amsterdam in 1935, and at the age of 22, she married Hetty Paërl (1931 – 2020). She pursued an education in mathematics and sub... |
Wikipedia:Betty Shannon#0 | Betty Shannon (née Mary Elizabeth Moore) (April 14, 1922 – May 1, 2017) was a mathematician and the main research collaborator of Claude Shannon. Betty inspired and assisted Claude in building some of his most famous inventions. == Life == Shannon was born on April 14, 1922 in New York City to Vilma Ujlaky Moore and Ja... |
Wikipedia:Betül Tanbay#0 | Betül Tanbay (born 1960) is a Turkish mathematician, scientist and professor of mathematics at the Boğaziçi University in Istanbul, Turkey and the first woman president of the Turkish Mathematical Society between 2010 and 2016. == Education == Betül Tanbay was born in Istanbul and raised in Ankara until 1977. She gradu... |
Wikipedia:Beulah Armstrong#0 | Beulah May Armstrong (1895–1965) was an American mathematician and university professor. She was one of the few American women awarded a PhD in math before World War II. == Biography == Beulah was born November 18, 1895 in Sterling, Kansas, the third of five children of Lillie J. Detter and John Allen Armstrong, both P... |
Wikipedia:Beulah Russell#0 | Beulah Russell, christened Beatrice Beulah Russell and also known as Bulah Russell, (October 22, 1878 – February 22, 1940) was an American mathematician. == Education == Beulah graduated from Randolph–Macon Woman's College with a Bachelor of Arts in 1903, and graduated from the University of Chicago with a Master of Ar... |
Wikipedia:Beurling–Lax theorem#0 | In mathematics, the Beurling–Lax theorem is a theorem due to Beurling (1948) and Lax (1959) which characterizes the shift-invariant subspaces of the Hardy space H 2 ( D , C ) {\displaystyle H^{2}(\mathbb {D} ,\mathbb {C} )} . It states that each such space is of the form θ H 2 ( D , C ) , {\displaystyle \theta H^{2}(\m... |
Wikipedia:Beyer Professor of Applied Mathematics#0 | The Beyer Chair of Applied Mathematics is an endowed professorial position in the Department of Mathematics, University of Manchester, England. The endowment came from the will of the celebrated locomotive designer and founder of locomotive builder Beyer, Peacock & Company, Charles Frederick Beyer. He was the universit... |
Wikipedia:Bharath Sriraman#0 | Bharath Sriraman (born 1971) is an Indian-born Professor of Mathematical Sciences at the University of Montana – Missoula and an academic editor, known for his contributions to the interdisciplinarity of mathematics-science-arts, theory development in mathematics education, creativity research, the history and philosop... |
Wikipedia:Bhaskara's lemma#0 | Bhaskara's Lemma is an identity used as a lemma during the chakravala method. It states that: N x 2 + k = y 2 ⟹ N ( m x + y k ) 2 + m 2 − N k = ( m y + N x k ) 2 {\displaystyle \,Nx^{2}+k=y^{2}\implies \,N\left({\frac {mx+y}{k}}\right)^{2}+{\frac {m^{2}-N}{k}}=\left({\frac {my+Nx}{k}}\right)^{2}} for integers m , x , y... |
Wikipedia:Bhaskaracharya Pratishthana#0 | Bhaskaracharya Pratishthana is a research and education institute for mathematics in Pune, India, founded by noted Indian-American mathematician professor Shreeram Abhyankar. The institute is named after the great ancient Indian Mathematician Bhaskaracharya (Born in 1114 A.D). It was founded in 1976. It has researchers... |
Wikipedia:Bhutasamkhya system#0 | The Bhūtasaṃkhyā system is a method of recording numbers in Sanskrit using common nouns having connotations of numerical values. The method was introduced already in astronomical texts in antiquity, but it was expanded and developed during the medieval period. A kind of rebus system, bhūtasaṃkhyā has also been called t... |
Wikipedia:Bhāskara I's sine approximation formula#0 | In mathematics, Bhāskara I's sine approximation formula is a rational expression in one variable for the computation of the approximate values of the trigonometric sines discovered by Bhāskara I (c. 600 – c. 680), a seventh-century Indian mathematician. This formula is given in his treatise titled Mahabhaskariya. It is... |
Wikipedia:Bhāskara II#0 | Bhāskara II ([bʰɑːskərə]; c.1114–1185), also known as Bhāskarāchārya (lit. 'Bhāskara the teacher'), was an Indian polymath, mathematician, astronomer and engineer. From verses in his main work, Siddhānta Śiromaṇi, it can be inferred that he was born in 1114 in Vijjadavida (Vijjalavida) and living in the Satpura mountai... |
Wikipedia:Bianca Falcidieno#0 | Bianca Falcidieno is an Italian applied mathematician whose research interests include computer graphics, geometric modeling, shape analysis, and mesh generation; she has been called a pioneer of semantics-driven shape representation. She is retired as a research director for the Italian National Research Council (CNR)... |
Wikipedia:Bibhutibhushan Datta#0 | Bibhutibhushan Datta (Bengali: বিভূতিভূষণ দত্ত, romanized: Bibhūtibhūṣaṇ Datta; also Bibhuti Bhusan Datta; 28 June 1888 – 6 October 1958) was a historian of Indian mathematics. Datta came from a poor Bengali family. He was a student of Ganesh Prasad, studied at the University of Calcutta and secured a master's degree i... |
Wikipedia:Bidiagonal matrix#0 | In linear algebra, a diagonal matrix is a matrix in which the entries outside the main diagonal are all zero; the term usually refers to square matrices. Elements of the main diagonal can either be zero or nonzero. An example of a 2×2 diagonal matrix is [ 3 0 0 2 ] {\displaystyle \left[{\begin{smallmatrix}3&0\\0&2\end{... |
Wikipedia:Bidirectional transformation#0 | In computer programming, bidirectional transformations (bx) are programs in which a single piece of code can be run in several ways, such that the same data are sometimes considered as input, and sometimes as output. For example, a bx run in the forward direction might transform input I into output O, while the same bx... |
Wikipedia:Bifundamental representation#0 | In mathematics and theoretical physics, a bifundamental representation is a representation obtained as a tensor product of two fundamental or antifundamental representations. For example, the MN-dimensional representation (M,N) of the group S U ( M ) × S U ( N ) {\displaystyle SU(M)\times SU(N)} is a bifundamental repr... |
Wikipedia:Big M method#0 | In operations research, the Big M method is a method of solving linear programming problems using the simplex algorithm. The Big M method extends the simplex algorithm to problems that contain "greater-than" constraints. It does so by associating the constraints with large negative constants which would not be part of ... |
Wikipedia:Big O notation#0 | Big O notation is a mathematical notation that describes the limiting behavior of a function when the argument tends towards a particular value or infinity. Big O is a member of a family of notations invented by German mathematicians Paul Bachmann, Edmund Landau, and others, collectively called Bachmann–Landau notation... |
Wikipedia:Biholomorphism#0 | In the mathematical theory of functions of one or more complex variables, and also in complex algebraic geometry, a biholomorphism or biholomorphic function is a bijective holomorphic function whose inverse is also holomorphic. == Formal definition == Formally, a biholomorphic function is a function ϕ {\displaystyle \p... |
Wikipedia:Bijaganita#0 | Bhāskara II ([bʰɑːskərə]; c.1114–1185), also known as Bhāskarāchārya (lit. 'Bhāskara the teacher'), was an Indian polymath, mathematician, astronomer and engineer. From verses in his main work, Siddhānta Śiromaṇi, it can be inferred that he was born in 1114 in Vijjadavida (Vijjalavida) and living in the Satpura mountai... |
Wikipedia:Bijection, injection and surjection#0 | In mathematics, injections, surjections, and bijections are classes of functions distinguished by the manner in which arguments (input expressions from the domain) and images (output expressions from the codomain) are related or mapped to each other. A function maps elements from its domain to elements in its codomain.... |
Wikipedia:Bilinear form#0 | In mathematics, a bilinear form is a bilinear map V × V → K on a vector space V (the elements of which are called vectors) over a field K (the elements of which are called scalars). In other words, a bilinear form is a function B : V × V → K that is linear in each argument separately: B(u + v, w) = B(u, w) + B(v, w) an... |
Wikipedia:Bill Casselman#0 | William Allen Casselman (born November 27, 1941) is an American Canadian mathematician who works in representation theory and automorphic forms. He is a professor emeritus at the University of British Columbia. He is closely connected to the Langlands program and has been involved in posting all of the work of Robert L... |
Wikipedia:Bill Warner (writer)#0 | Bill Warner is the pen name of Bill French (born 1941), a former physics professor and anti-Islam writer. He founded the Center for the Study of Political Islam International, which is based in the Czech Republic. The Southern Poverty Law Center in 2011 described him as one of a core group of ten anti-Islam hardliners ... |
Wikipedia:Bin Yu#0 | Bin Yu (Chinese: 郁彬) is a Chinese-American statistician. She is currently Chancellor's Professor in the Departments of Statistics and of Electrical Engineering & Computer Sciences at the University of California, Berkeley. == Biography == Yu earned a bachelor's degree in mathematics in 1984 from Peking University, and ... |
Wikipedia:Binary expression tree#0 | A binary expression tree is a specific kind of a binary tree used to represent expressions. Two common types of expressions that a binary expression tree can represent are algebraic and boolean. These trees can represent expressions that contain both unary and binary operators. Like any binary tree, each node of a bina... |
Wikipedia:Binyamin Amirà#0 | Binyamin A. Amirà (Hebrew: בנימין אמירה; 3 June 1896 – 20 January 1968) was an Israeli mathematician. == Early life and education == Born in 1896 in Mohilev, Russian Empire, Binyamin Amirà immigrated with his family to Tel Aviv in Ottoman Palestine in 1910, where he attended the Herzliya Gymnasium. Amirà went on to stu... |
Wikipedia:Bipolar theorem#0 | In mathematics, the bipolar theorem is a theorem in functional analysis that characterizes the bipolar (that is, the polar of the polar) of a set. In convex analysis, the bipolar theorem refers to a necessary and sufficient conditions for a cone to be equal to its bipolar. The bipolar theorem can be seen as a special c... |
Wikipedia:Birgit Grodal#0 | Birgit Grodal (24 June 1943 - 4 May 2004), was an economics professor at the University of Copenhagen from 1968 until her death in 2004. == Early life == Birgit Grodal was born on 24 June 1943 in Copenhagen, Denmark. She grew up in Frederiksberg. She was the middle child having both a younger and an older brother. Grod... |
Wikipedia:Bjarni Jónsson#0 | Bjarni Jónsson (February 15, 1920 – September 30, 2016) was an Icelandic mathematician and logician working in universal algebra, lattice theory, model theory and set theory. He was emeritus distinguished professor of mathematics at Vanderbilt University and the honorary editor in chief of Algebra Universalis. He recei... |
Wikipedia:Björn Gunnlaugsson#0 | Björn Gunnlaugsson[a] (25 September 1788 – 17 March 1876)[b] was an Icelandic mathematician and cartographer. For the Icelandic Literary Society, he surveyed the country from 1831 to 1843. The results of his work were published in a topographic map of Iceland at a scale of 1:480,000 on four sheets. It was the first com... |
Wikipedia:Blaise Pascal#0 | Blaise Pascal (19 June 1623 – 19 August 1662) was a French mathematician, physicist, inventor, philosopher, and Catholic writer. Pascal was a child prodigy who was educated by his father, a tax collector in Rouen. His earliest mathematical work was on projective geometry; he wrote a significant treatise on the subject ... |
Wikipedia:Blasius of Parma#0 | Biagio Pelacani da Parma; c. 1350 – 1416), known in English as Blasius of Parma, was an Italian philosopher, mathematician and astrologer. He popularised English and French philosophical work in Italy, where he associated both with scholastics and with early Renaissance humanists. He was professor of mathematics at the... |
Wikipedia:Blaženka Divjak#0 | Blaženka Divjak (born 1 January, 1967) is a Croatian scientist and university professor at the University of Zagreb, Faculty of Organization and Informatics in Varaždin. She served as Minister of Science and Education from 9 June, 2017 until 23 July, 2020. == Political life == Blaženka Divjak has led curricular reform ... |
Wikipedia:Board puzzles with algebra of binary variables#0 | Board puzzles with algebra of binary variables ask players to locate the hidden objects based on a set of clue cells and their neighbors marked as variables (unknowns). A variable with value of 1 corresponds to a cell with an object. Conversely, a variable with value of 0 corresponds to an empty cell—no hidden object. ... |
Wikipedia:Boaz Tsaban#0 | Boaz Tsaban (Hebrew: בועז צבאן; born February 1973) is an Israeli mathematician on the faculty of Bar-Ilan University. His research interests include selection principles within set theory and nonabelian cryptology, within mathematical cryptology. == Biography == Boaz Tsaban grew up in Or Yehuda, a city near Tel Aviv. ... |
Wikipedia:Bob Hearn#0 | Robert Aubrey Hearn is an American ultramarathon runner, computer scientist, and recreational mathematician. == Computer science and recreational mathematics == Hearn is originally from Oklahoma; as a student at Memorial High School (Tulsa, Oklahoma) in the early 1980s, he was passionate about solving the Rubik's Cube.... |
Wikipedia:Bochner identity#0 | In mathematics — specifically, differential geometry — the Bochner identity is an identity concerning harmonic maps between Riemannian manifolds. The identity is named after the American mathematician Salomon Bochner. == Statement of the result == Let M and N be Riemannian manifolds and let u : M → N be a harmonic map.... |
Wikipedia:Bochner–Kodaira–Nakano identity#0 | In mathematics, the Bochner–Kodaira–Nakano identity is an analogue of the Weitzenböck identity for hermitian manifolds, giving an expression for the antiholomorphic Laplacian of a vector bundle over a hermitian manifold in terms of its complex conjugate and the curvature of the bundle and the torsion of the metric of t... |
Wikipedia:Bogdan Gavrilović#0 | Bogdan or Bohdan (Cyrillic: Богдан) is a Slavic masculine name that appears in all Slavic countries as well as Romania and Moldova. It is derived from the Slavic words Bog/Boh (Cyrillic: Бог), meaning "god", and dan (Cyrillic: дан), meaning "given". The name appears to be an early calque from Greek Theodore (Theodotus,... |
Wikipedia:Bohumil Bydžovský#0 | Bohumil Bydžovský (14 March 1880, in Duchcov – 6 May 1969, in Jindřichův Hradec) was a Czech mathematician, specializing in algebraic geometry and algebra. == Education and career == Bydzovsky in 1898 completed his Abitur at the Academic Gymnasium in Prague and then studied mathematics (in particular, geometry taught b... |
Wikipedia:Bohuslav Hostinský#0 | Bohuslav Hostinský (5 December 1884 – 12 April 1951) was a Czech mathematician and theoretical physicist. == Early life and family == Hostinský was born on 5 December 1884 in the New Town quarter of Prague in Bohemia, Austria-Hungary. His father Otakar Hostinský was a musicologist and professor of aesthetics at Charles... |
Wikipedia:Bonnie Gold#0 | Bonnie Gold (born 1948) is an American mathematician, mathematical logician, philosopher of mathematics, and mathematics educator. She is a professor emerita of mathematics at Monmouth University. == Education and career == Gold completed her Ph.D. in 1976 at Cornell University, under the supervision of Michael D. Morl... |
Wikipedia:Book of Lemmas#0 | The Book of Lemmas or Book of Assumptions (Arabic Maʾkhūdhāt Mansūba ilā Arshimīdis) is a book attributed to Archimedes by Thābit ibn Qurra, though the authorship of the book is questionable. It consists of fifteen propositions (lemmas) on circles. == History == === Translations === The Book of Lemmas was first introdu... |
Wikipedia:Book of Optics#0 | The Book of Optics (Arabic: كتاب المناظر, romanized: Kitāb al-Manāẓir; Latin: De Aspectibus or Perspectiva; Italian: Deli Aspecti) is a seven-volume treatise on optics and other fields of study composed by the medieval Arab scholar Ibn al-Haytham, known in the West as Alhazen or Alhacen (965–c. 1040 AD). The Book of Op... |
Wikipedia:Book on Numbers and Computation#0 | The Book on Numbers and Computation (Chinese: 筭數書; pinyin: Suàn shù shū), or the Writings on Reckoning, is one of the earliest known Chinese mathematical treatises. It was written during the early Western Han dynasty, sometime between 202 BC and 186 BC. It was preserved among the Zhangjiashan Han bamboo texts and conta... |
Wikipedia:Book on the Measurement of Plane and Spherical Figures#0 | The Book on the Measurement of Plane and Spherical Figures (Arabic: كتاب معرفة مساحة الأشكال البسيطة والكريّة, Kitāb maʿrifah masāḥat al-ashkāl al-basīṭah wa-al-kuriyyah) was the most important of the works produced by the Banū Mūsā (three 9th century Persian brothers who worked in Baghdad). A Latin translation by the ... |
Wikipedia:Borel subalgebra#0 | In mathematics, specifically in representation theory, a Borel subalgebra of a Lie algebra g {\displaystyle {\mathfrak {g}}} is a maximal solvable subalgebra. The notion is named after Armand Borel. If the Lie algebra g {\displaystyle {\mathfrak {g}}} is the Lie algebra of a complex Lie group, then a Borel subalgebra i... |
Wikipedia:Borel's lemma#0 | In mathematics, Borel's lemma, named after Émile Borel, is an important result used in the theory of asymptotic expansions and partial differential equations. == Statement == Suppose U is an open set in the Euclidean space Rn, and suppose that f0, f1, ... is a sequence of smooth functions on U. If I is any open interva... |
Wikipedia:Boris Berezovsky (businessman)#0 | Boris Abramovich Berezovsky (Russian: Борис Абрамович Березовский, Hebrew: בוריס ברזובסקי; 23 January 1946 – 23 March 2013), also known as Platon Elenin, was a Russian business oligarch, government official, engineer and mathematician and a member of the Russian Academy of Sciences. He had the federal state civilian se... |
Wikipedia:Boris Kashin#0 | Boris Sergeevich Kashin (Russian: Борис Сергеевич Кашин; born July 3, 1951, in Moscow) is a Russian mathematician, Academician of the Russian Academy of Sciences (since 2011), Doctor of Sciences, Professor at the MSU Faculty of Mechanics and Mathematics. Member of the Central Committee of the Communist Party of the Rus... |
Wikipedia:Boris Khesin#0 | Boris Aronovich Khesin (in Russian: Борис Аронович Хесин, born in 1964) is a Russian and Canadian mathematician working on infinite-dimensional Lie groups, Poisson geometry and hydrodynamics. He has held positions at the University of California, Berkeley, Yale University, and currently is a professor at the University... |
Wikipedia:Boris Korenblum#0 | Boris Isaac Korenblum (Russian: Борис Исаакович Коренблюм, 12 August 1923, Odessa, now Ukraine – 15 December 2011, Slingerlands, New York) was a Soviet-Israeli-American mathematician, specializing in mathematical analysis. Boris Korenblum was a child prodigy in music, languages, and mathematics. He started as a violini... |
Wikipedia:Boris Levitan#0 | Boris Levitan (7 June 1914 – 4 April 2004) was a mathematician who worked on almost periodic functions, Sturm–Liouville operators and inverse scattering. Levitan was born in Berdyansk (southeastern Ukraine), and grew up in Kharkiv. He graduated from Kharkov University in 1936. In 1938, he submitted his PhD thesis "Some... |
Wikipedia:Boris Tsirelson#0 | Boris Semyonovich Tsirelson (May 4, 1950 – January 21, 2020) (Hebrew: בוריס סמיונוביץ' צירלסון, Russian: Борис Семёнович Цирельсон) was a Russian–Israeli mathematician and Professor of Mathematics at Tel Aviv University in Israel, as well as a Wikipedia editor. == Biography == Tsirelson was born in Leningrad to a Russi... |
Wikipedia:Boris Zilber#0 | Boris Zilber (Russian: Борис Иосифович Зильбер, born 1949) is a Soviet-British mathematician who works in mathematical logic, specifically model theory. He is a emeritus professor of mathematical logic at the University of Oxford. He obtained his doctorate (Candidate of Sciences) from the Novosibirsk State University i... |
Wikipedia:Bose–Mesner algebra#0 | In mathematics, a Bose–Mesner algebra is a special set of matrices which arise from a combinatorial structure known as an association scheme, together with the usual set of rules for combining (forming the products of) those matrices, such that they form an associative algebra, or, more precisely, a unitary commutative... |
Wikipedia:Boualem Khouider#0 | Boualem Khouider is an Algerian-Canadian applied mathematician, climate scientist, academic, and author. He is a professor, and former Chair of Mathematics and Statistics at the University of Victoria. Khouider has published more than 100 papers with his most recognizable contributions being in the applied mathematics,... |
Wikipedia:Bounded set#0 | In mathematical analysis and related areas of mathematics, a set is called bounded if all of its points are within a certain distance of each other. Conversely, a set which is not bounded is called unbounded. The word "bounded" makes no sense in a general topological space without a corresponding metric. Boundary is a ... |
Wikipedia:Bounding point#0 | In functional analysis, a branch of mathematics, a bounding point of a subset of a vector space is a conceptual extension of the boundary of a set. == Definition == Let A {\displaystyle A} be a subset of a vector space X {\displaystyle X} . Then x ∈ X {\displaystyle x\in X} is a bounding point for A {\displaystyle A} i... |
Wikipedia:Box counting#0 | Box counting is a method of gathering data for analyzing complex patterns by breaking a dataset, object, image, etc. into smaller and smaller pieces, typically "box"-shaped, and analyzing the pieces at each smaller scale. The essence of the process has been compared to zooming in or out using optical or computer based ... |
Wikipedia:Box-counting content#0 | In mathematics, the box-counting content is an analog of Minkowski content. == Definition == Let A {\displaystyle A} be a bounded subset of m {\displaystyle m} -dimensional Euclidean space R m {\displaystyle \mathbb {R} ^{m}} such that the box-counting dimension D B {\displaystyle D_{B}} exists. The upper and lower box... |
Wikipedia:Brahmagupta's interpolation formula#0 | Brahmagupta's interpolation formula is a second-order polynomial interpolation formula developed by the Indian mathematician and astronomer Brahmagupta (598–668 CE) in the early 7th century CE. The Sanskrit couplet describing the formula can be found in the supplementary part of Khandakadyaka a work of Brahmagupta comp... |
Wikipedia:Braided vector space#0 | In mathematics, a braided vector space V {\displaystyle \;V} is a vector space together with an additional structure map τ {\displaystyle \tau } symbolizing interchanging of two vector tensor copies: τ : V ⊗ V ⟶ V ⊗ V {\displaystyle \tau :\;V\otimes V\longrightarrow V\otimes V} such that the Yang–Baxter equation is ful... |
Wikipedia:Brailey Sims#0 | Brailey Sims (born 26 October 1947) is an Australian mathematician born and educated in Newcastle, New South Wales. He received his BSc from the University of Newcastle (Australia) in 1969 and, under the supervision of J. R. Giles, a PhD from the same university in 1972. He was on the faculty of the University of New E... |
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