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Wikipedia:Principal subalgebra#0 | In mathematics, a principal subalgebra of a complex simple Lie algebra is a 3-dimensional simple subalgebra whose non-zero elements are regular. A finite-dimensional complex simple Lie algebra has a unique conjugacy class of principal subalgebras, each of which is the span of an sl2-triple. == References == Bourbaki, N... |
Wikipedia:Principle of distributivity#0 | The principle of distributivity states that the algebraic distributive law is valid, where both logical conjunction and logical disjunction are distributive over each other so that for any propositions A, B and C the equivalences A ∧ ( B ∨ C ) ⟺ ( A ∧ B ) ∨ ( A ∧ C ) {\displaystyle A\land (B\lor C)\iff (A\land B)\lor (... |
Wikipedia:Principles of Hindu Reckoning#0 | Principles of Hindu Reckoning (Kitab fi usul hisab al-hind) is a mathematics book written by the 10th- and 11th-century Persian mathematician Kushyar ibn Labban. It is the second-oldest book extant in Arabic about Hindu arithmetic using Hindu-Arabic numerals ( ० ۱ ۲ ۳ ۴ ۵ ۶ ۷ ۸ ۹), preceded by Kitab al-Fusul fi al-Hisu... |
Wikipedia:Principles of Mathematical Analysis#0 | Principles of Mathematical Analysis, colloquially known as "PMA" or "Baby Rudin," is an undergraduate real analysis textbook written by Walter Rudin. Initially published by McGraw Hill in 1953, it is one of the most famous mathematics textbooks ever written. == History == As a C. L. E. Moore instructor, Rudin taught th... |
Wikipedia:Probability bounds analysis#0 | Probability bounds analysis (PBA) is a collection of methods of uncertainty propagation for making qualitative and quantitative calculations in the face of uncertainties of various kinds. It is used to project partial information about random variables and other quantities through mathematical expressions. For instance... |
Wikipedia:Problem of Apollonius#0 | In Euclidean plane geometry, Apollonius's problem is to construct circles that are tangent to three given circles in a plane (Figure 1). Apollonius of Perga (c. 262 BC – c. 190 BC) posed and solved this famous problem in his work Ἐπαφαί (Epaphaí, "Tangencies"); this work has been lost, but a 4th-century AD report of hi... |
Wikipedia:Product rule#0 | In calculus, the product rule (or Leibniz rule or Leibniz product rule) is a formula used to find the derivatives of products of two or more functions. For two functions, it may be stated in Lagrange's notation as ( u ⋅ v ) ′ = u ′ ⋅ v + u ⋅ v ′ {\displaystyle (u\cdot v)'=u'\cdot v+u\cdot v'} or in Leibniz's notation a... |
Wikipedia:Productive matrix#0 | In linear algebra, a square nonnegative matrix A {\displaystyle A} of order n {\displaystyle n} is said to be productive, or to be a Leontief matrix, if there exists a n × 1 {\displaystyle n\times 1} nonnegative column matrix P {\displaystyle P} such as P − A P {\displaystyle P-AP} is a positive matrix. == History == T... |
Wikipedia:Professor of Mathematical Statistics (Cambridge)#0 | The Professorship of Mathematical Statistics at the University of Cambridge was established in 1961 with the support of the Royal Statistical Society and the aid of donations from various companies and banks. It was the first professorship in the Statistical Laboratory, and the first in Cambridge University explicitly ... |
Wikipedia:Professor of Mathematics (Glasgow)#0 | The Chair of Mathematics in the University of Glasgow in Scotland was established in 1691. Previously, under James VI's Nova Erectio, the teaching of Mathematics had been the responsibility of the Regents. == List of Mathematics Professors == George Sinclair MA (1691–1696) Robert Sinclair MA MD (1699) Robert Simson MA ... |
Wikipedia:Professor of Statistical Science (Cambridge)#0 | The Professorship of Statistical Science is a professorship at the University of Cambridge. It was established in 1994 as the third professorship within the Cambridge Statistical Laboratory. == List of Professors of Statistical Science == 1994–1996, Richard L. Smith 2002–2015, L. C. G. Rogers 2017–present, Richard Samw... |
Wikipedia:Professorship of Mathematical Finance#0 | The position of Professor of Mathematical Finance in the Mathematical Institute of the University of Oxford was established in 2002. It is one of the six Statutory professorships in Mathematics at Oxford. From 2005 to 2015, the position was designated as 'Nomura Chair of Mathematical Finance' and endowed by Nomura. The... |
Wikipedia:Project Euler#0 | Project Euler (named after Leonhard Euler) is a website dedicated to a series of computational problems intended to be solved with computer programs. The project attracts graduates and students interested in mathematics and computer programming. Since its creation in 2001 by Colin Hughes, Project Euler has gained notab... |
Wikipedia:Project NExT#0 | MAA Project NExT (New Experiences in Teaching) is a program sponsored by the Mathematical Association of America (MAA) to aid in the professional development of mathematicians, statisticians, and mathematics educators after they receive their PhDs. It involves workshops and lectures on teaching, academic research, acad... |
Wikipedia:Projection (linear algebra)#0 | In linear algebra and functional analysis, a projection is a linear transformation P {\displaystyle P} from a vector space to itself (an endomorphism) such that P ∘ P = P {\displaystyle P\circ P=P} . That is, whenever P {\displaystyle P} is applied twice to any vector, it gives the same result as if it were applied onc... |
Wikipedia:Projection-valued measure#0 | In mathematics, particularly in functional analysis, a projection-valued measure, or spectral measure, is a function defined on certain subsets of a fixed set and whose values are self-adjoint projections on a fixed Hilbert space. A projection-valued measure (PVM) is formally similar to a real-valued measure, except th... |
Wikipedia:Projectivization#0 | In mathematics, projectivization is a procedure which associates with a non-zero vector space V a projective space P(V), whose elements are one-dimensional subspaces of V. More generally, any subset S of V closed under scalar multiplication defines a subset of P(V) formed by the lines contained in S and is called the p... |
Wikipedia:Proof School#0 | Proof School is a secondary school in San Francisco that offers a mathematics-focused liberal arts education. Currently, 125 students in grades 6–12 are enrolled in Proof School for the academic year (2024-2025). The school was co-founded by Dennis Leary, Ian Brown, and Paul Zeitz, the chair of mathematics at Universit... |
Wikipedia:Proof of the Euler product formula for the Riemann zeta function#0 | Leonhard Euler proved the Euler product formula for the Riemann zeta function in his thesis Variae observationes circa series infinitas (Various Observations about Infinite Series), published by St Petersburg Academy in 1737. == The Euler product formula == The Euler product formula for the Riemann zeta function reads ... |
Wikipedia:Proofs involving the addition of natural numbers#0 | This article contains mathematical proofs for some properties of addition of the natural numbers: the additive identity, commutativity, and associativity. These proofs are used in the article Addition of natural numbers. == Definitions == This article will use the Peano axioms for the definition of natural numbers. Wit... |
Wikipedia:Property (mathematics)#0 | In mathematics, a property is any characteristic that applies to a given set. Rigorously, a property p defined for all elements of a set X is usually defined as a function p: X → {true, false}, that is true whenever the property holds; or, equivalently, as the subset of X for which p holds; i.e. the set {x | p(x) = tru... |
Wikipedia:Przemysław Prusinkiewicz#0 | Przemysław (Przemek) Prusinkiewicz [ˈpʂɛmɛk pruɕiŋˈkjevit͡ʂ] is a Polish computer scientist who advanced the idea that Fibonacci numbers in nature can be in part understood as the expression of certain algebraic constraints on free groups, specifically as certain Lindenmayer grammars. Prusinkiewicz's main work is on th... |
Wikipedia:Prékopa–Leindler inequality#0 | In mathematics, the Prékopa–Leindler inequality is an integral inequality closely related to the reverse Young's inequality, the Brunn–Minkowski inequality and a number of other important and classical inequalities in analysis. The result is named after the Hungarian mathematicians András Prékopa and László Leindler. =... |
Wikipedia:Pseudo-differential operator#0 | In mathematical analysis a pseudo-differential operator is an extension of the concept of differential operator. Pseudo-differential operators are used extensively in the theory of partial differential equations and quantum field theory, e.g. in mathematical models that include ultrametric pseudo-differential equations... |
Wikipedia:Pseudo-ring#0 | In mathematics, and more specifically in abstract algebra, a pseudo-ring is one of the following variants of a ring: A rng, i.e., a structure satisfying all the axioms of a ring except for the existence of a multiplicative identity. A set R with two binary operations + and ⋅ such that (R, +) is an abelian group with id... |
Wikipedia:Pseudoalgebra#0 | In algebra, given a 2-monad T in a 2-category, a pseudoalgebra for T is a 2-category-version of algebra for T, that satisfies the laws up to coherent isomorphisms. == See also == Operad == Notes == == References == Lack, Stephen (2000). "A Coherent Approach to Pseudomonads". Advances in Mathematics. 152 (2): 179–202. d... |
Wikipedia:Pseudogamma function#0 | In mathematics, a pseudogamma function is a function that interpolates the factorial. The gamma function is the most famous solution to the problem of extending the notion of the factorial beyond the positive integers only. However, it is clearly not the only solution, as, for any set of points, an infinite number of c... |
Wikipedia:Pseudoreflection#0 | In mathematics, a pseudoreflection is an invertible linear transformation of a finite-dimensional vector space such that it is not the identity transformation, has a finite (multiplicative) order, and fixes a hyperplane. The concept of pseudoreflection generalizes the concepts of reflection and complex reflection and i... |
Wikipedia:Pseudoscalar#0 | In linear algebra, a pseudoscalar is a quantity that behaves like a scalar, except that it changes sign under a parity inversion while a true scalar does not. A pseudoscalar, when multiplied by an ordinary vector, becomes a pseudovector (or axial vector); a similar construction creates the pseudotensor. A pseudoscalar ... |
Wikipedia:Pseudovector#0 | In physics and mathematics, a pseudovector (or axial vector) is a quantity that transforms like a vector under continuous rigid transformations such as rotations or translations, but which does not transform like a vector under certain discontinuous rigid transformations such as reflections. For example, the angular ve... |
Wikipedia:Ptolemy's inequality#0 | In Euclidean geometry, Ptolemy's inequality relates the six distances determined by four points in the plane or in a higher-dimensional space. It states that, for any four points A, B, C, and D, the following inequality holds: A B ¯ ⋅ C D ¯ + B C ¯ ⋅ D A ¯ ≥ A C ¯ ⋅ B D ¯ . {\displaystyle {\overline {AB}}\cdot {\overli... |
Wikipedia:Ptolemy's table of chords#0 | The table of chords, created by the Greek astronomer, geometer, and geographer Ptolemy in Egypt during the 2nd century AD, is a trigonometric table in Book I, chapter 11 of Ptolemy's Almagest, a treatise on mathematical astronomy. It is essentially equivalent to a table of values of the sine function. It was the earlie... |
Wikipedia:Ptolemy's theorem#0 | In Euclidean geometry, Ptolemy's theorem is a relation between the four sides and two diagonals of a cyclic quadrilateral (a quadrilateral whose vertices lie on a common circle). The theorem is named after the Greek astronomer and mathematician Ptolemy (Claudius Ptolemaeus). Ptolemy used the theorem as an aid to creati... |
Wikipedia:Pullback#0 | In mathematics, a pullback is either of two different, but related processes: precomposition and fiber-product. Its dual is a pushforward. == Precomposition == Precomposition with a function probably provides the most elementary notion of pullback: in simple terms, a function f {\displaystyle f} of a variable y , {\dis... |
Wikipedia:Pure mathematics#0 | Pure mathematics is the study of mathematical concepts independently of any application outside mathematics. These concepts may originate in real-world concerns, and the results obtained may later turn out to be useful for practical applications, but pure mathematicians are not primarily motivated by such applications.... |
Wikipedia:Puthumana Somayaji#0 | Puthumana Somayaji (c.1660–1740) was a 17th-century astronomer-mathematician from Kerala, India. He was born into the Puthumana or Puthuvana (in Sanskrit, Nutanagriha or Nuthanvipina) family of Sivapuram (identified as present day Thrissur). The most famous work attributed to Puthumana Somayaji is Karanapaddhati which ... |
Wikipedia:Pyotr Ulyanov#0 | Pyotr Lavrentyevich Ulyanov (Russian: Пётр Лавре́нтьевич Улья́нов) (May 3, 1928 – November 13, 2006) was a Russian mathematician working on analysis. After graduating from Saratov State University in 1950, Ulyanov studied at Moscow State University, where he received in 1953 his Russian Candidate of Sciences degree (Ph... |
Wikipedia:Pythagoras tree (fractal)#0 | The Pythagoras tree is a plane fractal constructed from squares. Invented by the Dutch mathematics teacher Albert E. Bosman in 1942, it is named after the ancient Greek mathematician Pythagoras because each triple of touching squares encloses a right triangle, in a configuration traditionally used to depict the Pythago... |
Wikipedia:Pythagorean means#0 | In mathematics, the three classical Pythagorean means are the arithmetic mean (AM), the geometric mean (GM), and the harmonic mean (HM). These means were studied with proportions by Pythagoreans and later generations of Greek mathematicians because of their importance in geometry and music. == Definition == They are de... |
Wikipedia:Pythagorean 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:Pythagorean trigonometric identity#0 | The Pythagorean trigonometric identity, also called simply the Pythagorean identity, is an identity expressing the Pythagorean theorem in terms of trigonometric functions. Along with the sum-of-angles formulae, it is one of the basic relations between the sine and cosine functions. The identity is sin 2 θ + cos 2 θ... |
Wikipedia:Pātīgaṇita#0 | Pātīgaṇita is the term used in pre-modern Indian mathematical literature to denote the area of mathematics dealing with arithmetic and mensuration. The term is a compound word formed by combining the words pātī and gaṇita. The former is a non-Sanskrit word meaning a "board" and the latter is a Sanskrit word meaning "sc... |
Wikipedia:Q-Vandermonde identity#0 | In combinatorics, Vandermonde's identity (or Vandermonde's convolution) is the following identity for binomial coefficients: ( m + n r ) = ∑ k = 0 r ( m k ) ( n r − k ) {\displaystyle {m+n \choose r}=\sum _{k=0}^{r}{m \choose k}{n \choose r-k}} for any nonnegative integers r, m, n. The identity is named after Alexandre... |
Wikipedia:Qaiser Mushtaq#0 | Qaiser Mushtaq (born 28 February 1954), (D.Phil.(Oxon), ASA, KIA), is a Pakistani mathematician and academic who has made numerous contributions in the field of Group theory and Semigroup. He has been vice-chancellor of The Islamia University Bahawalpur from December 2014 to December 2018. Mushtaq is one of the leading... |
Wikipedia:Qiang Du#0 | Qiang Du (Chinese: 杜强), the Fu Foundation Professor of Applied Mathematics at Columbia University, is a Chinese mathematician and computational scientist. Prior to moving to Columbia, he was the Verne M. Willaman Professor of Mathematics at Pennsylvania State University affiliated with the Pennsylvania State University... |
Wikipedia:Quadratic Lie algebra#0 | A quadratic Lie algebra is a Lie algebra together with a compatible symmetric bilinear form. Compatibility means that it is invariant under the adjoint representation. Examples of such are semisimple Lie algebras, such as su(n) and sl(n,R). == Definition == A quadratic Lie algebra is a Lie algebra (g,[.,.]) together wi... |
Wikipedia:Quadratic algebra#0 | In mathematics, a Clifford algebra is an algebra generated by a vector space with a quadratic form, and is a unital associative algebra with the additional structure of a distinguished subspace. As K-algebras, they generalize the real numbers, complex numbers, quaternions and several other hypercomplex number systems. ... |
Wikipedia:Quadratic eigenvalue problem#0 | In mathematics, the quadratic eigenvalue problem (QEP), is to find scalar eigenvalues λ {\displaystyle \lambda } , left eigenvectors y {\displaystyle y} and right eigenvectors x {\displaystyle x} such that Q ( λ ) x = 0 and y ∗ Q ( λ ) = 0 , {\displaystyle Q(\lambda )x=0~{\text{ and }}~y^{\ast }Q(\lambda )=0,} where Q ... |
Wikipedia:Quadratic equation#0 | In mathematics, a quadratic equation (from Latin quadratus 'square') is an equation that can be rearranged in standard form as a x 2 + b x + c = 0 , {\displaystyle ax^{2}+bx+c=0\,,} where the variable x represents an unknown number, and a, b, and c represent known numbers, where a ≠ 0. (If a = 0 and b ≠ 0 then the equa... |
Wikipedia:Quadratic form#0 | In mathematics, a quadratic form is a polynomial with terms all of degree two ("form" is another name for a homogeneous polynomial). For example, 4 x 2 + 2 x y − 3 y 2 {\displaystyle 4x^{2}+2xy-3y^{2}} is a quadratic form in the variables x and y. The coefficients usually belong to a fixed field K, such as the real or ... |
Wikipedia:Quadratic formula#0 | In elementary algebra, the quadratic formula is a closed-form expression describing the solutions of a quadratic equation. Other ways of solving quadratic equations, such as completing the square, yield the same solutions. Given a general quadratic equation of the form a x 2 + b x + c = 0 {\displaystyle \textstyle ax... |
Wikipedia:Quadratic growth#0 | In mathematics, a function or sequence is said to exhibit quadratic growth when its values are proportional to the square of the function argument or sequence position. "Quadratic growth" often means more generally "quadratic growth in the limit", as the argument or sequence position goes to infinity – in big Theta not... |
Wikipedia:Quadratic-linear algebra#0 | In mathematics, a quadratic form is a polynomial with terms all of degree two ("form" is another name for a homogeneous polynomial). For example, 4 x 2 + 2 x y − 3 y 2 {\displaystyle 4x^{2}+2xy-3y^{2}} is a quadratic form in the variables x and y. The coefficients usually belong to a fixed field K, such as the real or ... |
Wikipedia:Quadratrix of Hippias#0 | The quadratrix or trisectrix of Hippias (also called the quadratrix of Dinostratus) is a curve which is created by a uniform motion. It is traced out by the crossing point of two lines, one moving by translation at a uniform speed, and the other moving by rotation around one of its points at a uniform speed. An alterna... |
Wikipedia:Quadrature (geometry)#0 | In mathematics, quadrature is a historic term for the computation of areas and is thus used for computation of integrals. The word is derived from the Latin quadratus meaning "square". The reason is that, for Ancient Greek mathematicians, the computation of an area consisted of constructing a square of the same area. I... |
Wikipedia:Quantized enveloping algebra#0 | In mathematics, a quantum or quantized enveloping algebra is a q-analog of a universal enveloping algebra. Given a Lie algebra g {\displaystyle {\mathfrak {g}}} , the quantum enveloping algebra is typically denoted as U q ( g ) {\displaystyle U_{q}({\mathfrak {g}})} . The notation was introduced by Drinfeld and indepen... |
Wikipedia:Quantum algebra#0 | Quantum algebra is one of the top-level mathematics categories used by the arXiv. It is the study of noncommutative analogues and generalizations of commutative algebras, especially those arising in Lie theory. Subjects include: Quantum groups Skein theories Operadic algebra Diagrammatic algebra Quantum field theory Ra... |
Wikipedia:Quantum groupoid#0 | In mathematics, a quantum groupoid is any of a number of notions in noncommutative geometry analogous to the notion of groupoid. In usual geometry, the information of a groupoid can be contained in its monoidal category of representations (by a version of Tannaka–Krein duality), in its groupoid algebra or in the commut... |
Wikipedia:Quartic equation#0 | In mathematics, a quartic equation is one which can be expressed as a quartic function equaling zero. The general form of a quartic equation is a x 4 + b x 3 + c x 2 + d x + e = 0 {\displaystyle ax^{4}+bx^{3}+cx^{2}+dx+e=0\,} where a ≠ 0. The quartic is the highest order polynomial equation that can be solved by radica... |
Wikipedia:Quasi-Lie algebra#0 | In mathematics, a quasi-Lie algebra in abstract algebra is just like a Lie algebra, but with the usual axiom [ x , x ] = 0 {\displaystyle [x,x]=0} replaced by [ x , y ] = − [ y , x ] {\displaystyle [x,y]=-[y,x]} (anti-symmetry). In characteristic other than 2, these are equivalent (in the presence of bilinearity), so t... |
Wikipedia:Quasi-exact solvability#0 | A linear differential operator L is called quasi-exactly-solvable (QES) if it has a finite-dimensional invariant subspace of functions { V } n {\displaystyle \{{\mathcal {V}}\}_{n}} such that L : { V } n → { V } n , {\displaystyle L:\{{\mathcal {V}}\}_{n}\rightarrow \{{\mathcal {V}}\}_{n},} where n is a dimension of { ... |
Wikipedia:Quasi-free algebra#0 | In abstract algebra, a quasi-free algebra is an associative algebra that satisfies the lifting property similar to that of a formally smooth algebra in commutative algebra. The notion was introduced by Cuntz and Quillen for the applications to cyclic homology. A quasi-free algebra generalizes a free algebra, as well as... |
Wikipedia:Quasi-identity#0 | In universal algebra, a quasi-identity is an implication of the form s1 = t1 ∧ … ∧ sn = tn → s = t where s1, ..., sn, t1, ..., tn, s, and t are terms built up from variables using the operation symbols of the specified signature. A quasi-identity amounts to a conditional equation for which the conditions themselves are... |
Wikipedia:Quasi-polynomial growth#0 | In theoretical computer science, a function f ( n ) {\displaystyle f(n)} is said to exhibit quasi-polynomial growth when it has an upper bound of the form f ( n ) = 2 O ( ( log n ) c ) {\displaystyle f(n)=2^{O{\bigl (}(\log n)^{c}{\bigr )}}} for some constant c {\displaystyle c} , as expressed using big O notation. T... |
Wikipedia:Quasicircle#0 | In mathematics, a quasicircle is a Jordan curve in the complex plane that is the image of a circle under a quasiconformal mapping of the plane onto itself. Originally introduced independently by Pfluger (1961) and Tienari (1962), in the older literature (in German) they were referred to as quasiconformal curves, a term... |
Wikipedia:Quasinorm#0 | In linear algebra, functional analysis and related areas of mathematics, a quasinorm is similar to a norm in that it satisfies the norm axioms, except that the triangle inequality is replaced by ‖ x + y ‖ ≤ K ( ‖ x ‖ + ‖ y ‖ ) {\displaystyle \|x+y\|\leq K(\|x\|+\|y\|)} for some K > 1. {\displaystyle K>1.} == Definition... |
Wikipedia:Quasiregular map#0 | In the mathematical field of analysis, quasiregular maps are a class of continuous maps between Euclidean spaces Rn of the same dimension or, more generally, between Riemannian manifolds of the same dimension, which share some of the basic properties with holomorphic functions of one complex variable. == Motivation == ... |
Wikipedia:Quasisymmetric function#0 | In algebra and in particular in algebraic combinatorics, a quasisymmetric function is any element in the ring of quasisymmetric functions which is in turn a subring of the formal power series ring with a countable number of variables. This ring generalizes the ring of symmetric functions. This ring can be realized as a... |
Wikipedia:Quasisymmetric map#0 | In mathematics, a quasisymmetric homeomorphism between metric spaces is a map that generalizes bi-Lipschitz maps. While bi-Lipschitz maps shrink or expand the diameter of a set by no more than a multiplicative factor, quasisymmetric maps satisfy the weaker geometric property that they preserve the relative sizes of set... |
Wikipedia:Quaternionic analysis#0 | In mathematics, quaternionic analysis is the study of functions with quaternions as the domain and/or range. Such functions can be called functions of a quaternion variable just as functions of a real variable or a complex variable are called. As with complex and real analysis, it is possible to study the concepts of a... |
Wikipedia:Quaternionic matrix#0 | A quaternionic matrix is a matrix whose elements are quaternions. == Matrix operations == The quaternions form a noncommutative ring, and therefore addition and multiplication can be defined for quaternionic matrices as for matrices over any ring. Addition. The sum of two quaternionic matrices A and B is defined in the... |
Wikipedia:Quaternionic vector space#0 | In the mathematical field of representation theory, a quaternionic representation is a representation on a complex vector space V with an invariant quaternionic structure, i.e., an antilinear equivariant map j : V → V {\displaystyle j\colon V\to V} which satisfies j 2 = − 1. {\displaystyle j^{2}=-1.} Together with the ... |
Wikipedia:Quillen spectral sequence#0 | In the area of mathematics known as K-theory, the Quillen spectral sequence, also called the Brown–Gersten–Quillen or BGQ spectral sequence (named after Kenneth Brown, Stephen Gersten, and Daniel Quillen), is a spectral sequence converging to the sheaf cohomology of a type of topological space that occurs in algebraic ... |
Wikipedia:Quillen's lemma#0 | In algebra, Quillen's lemma states that an endomorphism of a simple module over the enveloping algebra of a finite-dimensional Lie algebra over a field k is algebraic over k. In contrast to a version of Schur's lemma due to Dixmier, it does not require k to be uncountable. Quillen's original short proof uses generic fl... |
Wikipedia:Quintuple product identity#0 | In mathematics the Watson quintuple product identity is an infinite product identity introduced by Watson (1929) and rediscovered by Bailey (1951) and Gordon (1961). It is analogous to the Jacobi triple product identity, and is the Macdonald identity for a certain non-reduced affine root system. It is related to Euler'... |
Wikipedia:Quotient rule#0 | In calculus, the quotient rule is a method of finding the derivative of a function that is the ratio of two differentiable functions. Let h ( x ) = f ( x ) g ( x ) {\displaystyle h(x)={\frac {f(x)}{g(x)}}} , where both f and g are differentiable and g ( x ) ≠ 0. {\displaystyle g(x)\neq 0.} The quotient rule states that... |
Wikipedia:Quotient space (linear algebra)#0 | In linear algebra, the quotient of a vector space V {\displaystyle V} by a subspace N {\displaystyle N} is a vector space obtained by "collapsing" N {\displaystyle N} to zero. The space obtained is called a quotient space and is denoted V / N {\displaystyle V/N} (read " V {\displaystyle V} mod N {\displaystyle N} " or ... |
Wikipedia:Qāḍī Zāda al-Rūmī#0 | al-Rumi (Arabic: الرومي, also transcribed as ar-Rumi), or its Persian variant of simply Rumi, is a nisba denoting a person from or related to the historical region(s) specified by the name Rûm. It may refer to: Jalāl ad-Dīn Muhammad Rūmī, Persian poet, Islamic jurist, theologian, and mystic commonly referred to by the ... |
Wikipedia:R. E. Siday#0 | Raymond Eldred Siday (1912–1956) was an English mathematician specialising in quantum mechanics. He obtained his BSc in Special Physics and later worked at the University of Edinburgh. He began collaborating with Werner Ehrenberg in 1933. Raymond Siday is known for the Ehrenberg–Siday effect. == Family == He was the br... |
Wikipedia:Racah polynomials#0 | In mathematics, Racah polynomials are orthogonal polynomials named after Giulio Racah, as their orthogonality relations are equivalent to his orthogonality relations for Racah coefficients. The Racah polynomials were first defined by Wilson (1978) and are given by p n ( x ( x + γ + δ + 1 ) ) = 4 F 3 [ − n n + α + β + 1... |
Wikipedia:Rachel Kuske#0 | Rachel Ann Kuske (born 1965) is an American-Canadian applied mathematician and Professor and Chair of Mathematics at the Georgia Institute of Technology. == Professional career == Kuske received her PhD in Applied Mathematics from Northwestern University in 1992. Her dissertation, Asymptotic Analysis of Random Wave Equ... |
Wikipedia:Rachid Deriche#0 | Rachid Deriche is a research director at Inria Sophia Antipolis, France, where he leads the research project Athena aiming to explore the Central Nervous System using computational imaging. He has published more than 60 journals and more than 180 conferences papers with a Google Scholar H-index of 67. He is known for t... |
Wikipedia:Rademacher–Menchov theorem#0 | In mathematical analysis, the Rademacher–Menchov theorem, introduced by Rademacher (1922) and Menchoff (1923), gives a sufficient condition for a series of orthogonal functions on an interval to converge almost everywhere. == Statement == If the coefficients cν of a series of bounded orthogonal functions on an interval... |
Wikipedia:Radha Kessar#0 | Radha Kessar is an Indian mathematician known for her research in the representation theory of finite groups. She holds the Fielden Chair in Pure Mathematics at the University of Manchester, and in 2009 won the Berwick Prize of the London Mathematical Society. == Education and career == Kessar graduated from Panjab Uni... |
Wikipedia:Radhika Kulkarni#0 | Radhika Vidyadhar Kulkarni (born 1956) is a retired Indian and American operations researcher, and the 2022 president of INFORMS. The Bechhofer–Kulkarni selection procedure or Bechhofer–Kulkarni stopping rule, a stopping rule for maximization in Bernoulli processes, is named after her work with her doctoral advisor, Ro... |
Wikipedia:Radial set#0 | In mathematics, a subset A ⊆ X {\displaystyle A\subseteq X} of a linear space X {\displaystyle X} is radial at a given point a 0 ∈ A {\displaystyle a_{0}\in A} if for every x ∈ X {\displaystyle x\in X} there exists a real t x > 0 {\displaystyle t_{x}>0} such that for every t ∈ [ 0 , t x ] , {\displaystyle t\in [0,t_{x}... |
Wikipedia:Radical polynomial#0 | In mathematics, in the realm of abstract algebra, a radical polynomial is a multivariate polynomial over a field that can be expressed as a polynomial in the sum of squares of the variables. That is, if k [ x 1 , x 2 , … , x n ] {\displaystyle k[x_{1},x_{2},\ldots ,x_{n}]} is a polynomial ring, the ring of radical poly... |
Wikipedia:Radivoj Kašanin#0 | Radivoj Kašanin or Radivoje Kašanin (21 May 1892 – 30 October 1989) was a Serbian mathematician, university professor, and member of the Serbian Academy of Arts and Sciences. Radivoje Kašanin is regarded as a talented mathematician and scholar of natural sciences with a wide scientific culture. As for his profound and ... |
Wikipedia:Radoslav Harman#0 | Radoslav Harman is a Slovak mathematician working in the area of optimal design of statistical experiments. He is currently a docent at Comenius University. == Biography == In 2004, Harman obtained PhD in statistics from Comenius University, under the supervision of Andrej Pazman. He has published 30 research papers in... |
Wikipedia:Rafael Artzy#0 | Rafael Artzy (Hebrew: רפאל ארצי; 23 July 1912 – 22 August 2006) was an Israeli mathematician specializing in geometry. == Education and emigration == Artzy was born July 23, 1912, in Königsberg, Germany. His father was Edward I. Deutschlander and his mother Ida Freudenheim. Rafael studied at Königsberg University from ... |
Wikipedia:Rafael Bombelli#0 | Rafael Bombelli (baptised on 20 January 1526; died 1572) was an Italian mathematician. Born in Bologna, he is the author of a treatise on algebra and is a central figure in the understanding of imaginary numbers. He was the one who finally managed to address the problem with imaginary numbers. In his 1572 book, L'Algeb... |
Wikipedia:Rafael E. Núñez#0 | Rafael E. Núñez is a professor of cognitive science at the University of California, San Diego and a proponent of embodied cognition. He co-authored Where Mathematics Comes From with George Lakoff. == External links == Academic home page Rafael E. Núñez, Eve Sweetser (2006). "With the Future Behind Them: Convergent Evi... |
Wikipedia:Ragnar Winther#0 | Ragnar Winther (born 4 January 1949) is a Norwegian mathematician. He took his PhD in 1977, and was appointed professor at the University of Oslo in 1991. In 2002 he became the leader of the Centre of Mathematics for Applications there. He is a member of the Norwegian Academy of Science and Letters. In 2012 he became a... |
Wikipedia:Raimo Hämäläinen#0 | Raimo P. Hämäläinen (born 7 July 1948 in Helsinki, Finland): 1 is a professor emeritus at the Aalto University School of Science (Aalto SCI), Finland. Hämäläinen founded Systems Analysis laboratory at Aalto SCI in 1984. His research interests include systems intelligence, multiple-criteria decision analysis, sequential... |
Wikipedia:Rainer Burkard#0 | Rainer Ernst Burkard (born 28 January 1943, Graz, Austria ) is an Austrian mathematician. His research interests include discrete optimization, graph theory, applied discrete mathematics, and applied number theory. He earned his Ph.D. from the University of Vienna in 1967 and received his habilitation from the Universi... |
Wikipedia:Rajan Hoole#0 | Michael Richard Ratnarajan Hoole (commonly known as Rajan Hoole) is a Sri Lankan Tamil mathematician, academic and human rights activist. He was one of the founders of University Teachers for Human Rights (UTHR) which documented human rights abuses during the Sri Lankan Civil War. == Early life and family == Hoole is t... |
Wikipedia:Ralf Seppelt#0 | Ralf Seppelt is a German mathematician, academic and author. He is a professor of Landscape Ecology and Renewable Resource Economics at Martin Luther University Halle-Wittenberg, head of the Research Unit Ecosystem of the Future and the co-head of the Department of Computational Landscape Ecology at the Helmholtz Centr... |
Wikipedia:Ralph Gordon Stanton#0 | Ralph Gordon Stanton (21 October 1923 – 21 April 2010) was a Canadian mathematician, teacher, scholar, and pioneer in mathematics and computing education. As a researcher, he made important contributions in the area of discrete mathematics; and as an educator and administrator, was also instrumental in founding the Fac... |
Wikipedia:Ralph Henstock#0 | Ralph Henstock (2 June 1923 – 17 January 2007) was an English mathematician and author. As an Integration theorist, he is notable for Henstock–Kurzweil integral. Henstock brought the theory to a highly developed stage without ever having encountered Jaroslav Kurzweil's 1957 paper on the subject. == Early life == Hensto... |
Wikipedia:Ralph Lent Jeffery#0 | Ralph Lent Jeffery (3 October 1889 Overton, Yarmouth County, Nova Scotia, Canada – 1975 Wolfville, Nova Scotia) was a Canadian mathematician working on analysis. He taught at several institutions including Acadia University, the University of Saskatchewan and Queen's University. Jeffery Hall at Queen's was named for hi... |
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