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Wikipedia:Ralph Pass#0 | As minor planet discoveries are confirmed, they are given a permanent number by the IAU's Minor Planet Center (MPC), and the discoverers can then submit names for them, following the IAU's naming conventions. The list below concerns those minor planets in the specified number-range that have received names, and explain... |
Wikipedia:Ralph Tambs Lyche#0 | Ralph Tambs Lyche (6 September 1890 – 15 January 1991) was a Norwegian mathematician. He was born in Macon, Georgia as a son of Norwegian father Hans Tambs Lyche (1859–1898) and American mother Mary Rebecca Godden (1856–1938). He moved to Norway at the age of two. He finished his secondary education in Fredrikstad in 1... |
Wikipedia:Ralucca Gera#0 | Ralucca Michelle Gera (née Muntean) is an American mathematician specializing in graph theory, including graph coloring, dominating sets, and spectral graph theory. Her interests also include personalized learning in mathematics education. She is a professor of mathematics at the Naval Postgraduate School. == Education... |
Wikipedia:Ram Kishore Saxena#0 | Ram Kishore Saxena D.Sc, FNASc (11 November 1936) is an Indian mathematician and Emeritus professor, UGC Jai Narain Vyas University and former Professor and Head, Department of Mathematics. == Published work == Saxena has published 356 research papers; under his supervision many scholars has done PhD and post-doctoral ... |
Wikipedia:Raman Parimala#0 | Raman Parimala (born 21 November 1948) is an Indian mathematician known for her contributions to algebra. She is the Arts & Sciences Distinguished Professor of mathematics at Emory University. For many years, she was a professor at Tata Institute of Fundamental Research (TIFR), Mumbai. She was on the Mathematical Scien... |
Wikipedia:Ramanujan Institute for Advanced Study in Mathematics#0 | Ramanujan Institute for Advanced Study in Mathematics (RIASM) is the Department of Mathematics of University of Madras. This name was adopted in 1967. == History == The University of Madras was incorporated in 1857 and the Department of Mathematics was an integral part of the university from its beginning. The departme... |
Wikipedia:Ramanujan Mathematical Society#0 | Ramanujan Mathematical Society is an Indian organisation of persons formed with the aim of "promoting mathematics at all levels". The Society was founded in 1985 and registered in Tiruchirappalli, Tamil Nadu, India. Professor G. Shankaranarayanan was the first President, Professor R. Balakrishnan the first Secretary an... |
Wikipedia:Ramanujan graph#0 | In the mathematical field of spectral graph theory, a Ramanujan graph is a regular graph whose spectral gap is almost as large as possible (see extremal graph theory). Such graphs are excellent spectral expanders. As Murty's survey paper notes, Ramanujan graphs "fuse diverse branches of pure mathematics, namely, number... |
Wikipedia:Rami Grossberg#0 | Rami Grossberg (Hebrew: רמי גרוסברג) is a full professor of mathematics at Carnegie Mellon University and works in model theory. == Work == Grossberg's work in the past few years has revolved around the classification theory of non-elementary classes. In particular, he has provided, in joint work with Monica VanDieren,... |
Wikipedia:Ramin Mahmudzade#0 | Ramin Mahmudzade (Azerbaijani: Ramin Əlinazim oğlu Mahmudzadə; August 31, 1935, Baku – August 9, 2022) — candidate of physics-mathematical sciences, associate professor, head of preparatory work for the All-Union and International Olympiads in informatics for schoolchildren, rector of the Public Institute "Mathematical... |
Wikipedia:Ramiro Rampinelli#0 | Ramiro Rampinelli, born Lodovico Rampinelli (1697 – 1759), was an Italian mathematician and physicist. He was a monk in the Olivetan Order. He had a decisive influence on the spread of mathematical analysis, algebra and mathematical physics in the best universities of Italy. He is one of the best known Italian scholars... |
Wikipedia:Range of a function#0 | In mathematics, the range of a function may refer to either of two closely related concepts: the codomain of the function, or the image of the function. In some cases the codomain and the image of a function are the same set; such a function is called surjective or onto. For any non-surjective function f : X → Y , {\di... |
Wikipedia:Rank (graph theory)#0 | In graph theory, a branch of mathematics, the rank of an undirected graph has two unrelated definitions. Let n equal the number of vertices of the graph. In the matrix theory of graphs the rank r of an undirected graph is defined as the rank of its adjacency matrix. Analogously, the nullity of the graph is the nullity ... |
Wikipedia:Rank (linear algebra)#0 | In linear algebra, the rank of a matrix A is the dimension of the vector space generated (or spanned) by its columns. This corresponds to the maximal number of linearly independent columns of A. This, in turn, is identical to the dimension of the vector space spanned by its rows. Rank is thus a measure of the "nondegen... |
Wikipedia:Rank factorization#0 | In mathematics, given a field F {\displaystyle \mathbb {F} } , non-negative integers m , n {\displaystyle m,n} , and a matrix A ∈ F m × n {\displaystyle A\in \mathbb {F} ^{m\times n}} , a rank decomposition or rank factorization of A is a factorization of A of the form A = CF, where C ∈ F m × r {\displaystyle C\in \mat... |
Wikipedia:Rank-width#0 | Rank-width is a graph width parameter used in graph theory and parameterized complexity, and defined using linear algebra. It is defined from hierarchical clusterings of the vertices of a given graph, which can be visualized as ternary trees having the vertices as their leaves. Removing any edge from such a tree discon... |
Wikipedia:Raphael Yuster#0 | Raphael "Raphy" Yuster (Hebrew: רפאל יוסטר) is an Israeli mathematician specializing in combinatorics and graph theory. He is a professor of mathematics at the University of Haifa. He is a recipient of the Nerode Prize for his work on color-coding,[A] and is also known for the Alon–Yuster conjecture relating the chroma... |
Wikipedia:Raphaèle Herbin#0 | Raphaèle Herbin is a French applied mathematician; she is known for her work on the finite volume method. Herbin has been a professor at Aix-Marseille University since 1995, and directs the Institut de Mathématiques de Marseille. She earned her doctorate in 1986 at Claude Bernard University Lyon 1, with the dissertatio... |
Wikipedia:Raphaël Cerf#0 | Raphaël Cerf is a French mathematician at Paris-Sud 11 University. For his contributions to probability theory, he won the Rollo Davidson Prize in 1999, and the EMS Prize in 2000. He was an Invited Speaker at the ICM in 2006 in Madrid. == Selected works == Raphaël Cerf (15 October 2004). "Le modèle d'Ising et la coexis... |
Wikipedia:Rate function#0 | In mathematics — specifically, in large deviations theory — a rate function is a function used to quantify the probabilities of rare events. Such functions are used to formulate large deviation principles. A large deviation principle quantifies the asymptotic probability of rare events for a sequence of probabilities. ... |
Wikipedia:Ratio#0 | Radio is the technology of communicating using radio waves. Radio waves are electromagnetic waves of frequency between 3 hertz (Hz) and 300 gigahertz (GHz). They are generated by an electronic device called a transmitter connected to an antenna which radiates the waves. They can be received by other antennas connected ... |
Wikipedia:Rational difference equation#0 | A rational difference equation is a nonlinear difference equation of the form x n + 1 = α + ∑ i = 0 k β i x n − i A + ∑ i = 0 k B i x n − i , {\displaystyle x_{n+1}={\frac {\alpha +\sum _{i=0}^{k}\beta _{i}x_{n-i}}{A+\sum _{i=0}^{k}B_{i}x_{n-i}}}~,} where the initial conditions x 0 , x − 1 , … , x − k {\displaystyle x_... |
Wikipedia:Rational representation#0 | In mathematics, in the representation theory of algebraic groups, a linear representation of an algebraic group is said to be rational if, viewed as a map from the group to the general linear group, it is a rational map of algebraic varieties. Finite direct sums and products of rational representations are rational. A ... |
Wikipedia:Rational series#0 | In mathematics and computer science, a rational series is a generalisation of the concept of formal power series over a ring to the case when the basic algebraic structure is no longer a ring but a semiring, and the indeterminates adjoined are not assumed to commute. They can be regarded as algebraic expressions of a f... |
Wikipedia:Rationalisation (mathematics)#0 | In elementary algebra, root rationalisation (or rationalization) is a process by which radicals in the denominator of an algebraic fraction are eliminated. If the denominator is a monomial in some radical, say a x n k , {\displaystyle a{\sqrt[{n}]{x}}^{k},} with k < n, rationalisation consists of multiplying the numera... |
Wikipedia:Rauzy fractal#0 | In mathematics, the Rauzy fractal is a fractal set associated with the Tribonacci substitution s ( 1 ) = 12 , s ( 2 ) = 13 , s ( 3 ) = 1 . {\displaystyle s(1)=12,\ s(2)=13,\ s(3)=1\,.} It was studied in 1981 by Gérard Rauzy, with the idea of generalizing the dynamic properties of the Fibonacci morphism. That fractal se... |
Wikipedia:Ravi Vakil#0 | Ravi D. Vakil (born February 22, 1970) is a Canadian-American mathematician working in algebraic geometry. He is the current president of the American Mathematical Society. == Education and career == Vakil attended high school at Martingrove Collegiate Institute in Etobicoke, Ontario, where he won several mathematical ... |
Wikipedia:Rayleigh dissipation function#0 | In physics, the Rayleigh dissipation function, named after Lord Rayleigh, is a function used to handle the effects of velocity-proportional frictional forces in Lagrangian mechanics. It was first introduced by him in 1873. If the frictional force on a particle with velocity v → {\displaystyle {\vec {v}}} can be written... |
Wikipedia:Rayleigh quotient#0 | In mathematics, the Rayleigh quotient () for a given complex Hermitian matrix M {\displaystyle M} and nonzero vector x {\displaystyle x} is defined as: R ( M , x ) = x ∗ M x x ∗ x . {\displaystyle R(M,x)={x^{*}Mx \over x^{*}x}.} For real matrices and vectors, the condition of being Hermitian reduces to that of being sy... |
Wikipedia:Rayleigh theorem for eigenvalues#0 | In mathematics, the Rayleigh theorem for eigenvalues pertains to the behavior of the solutions of an eigenvalue equation as the number of basis functions employed in its resolution increases. Rayleigh, Lord Rayleigh, and 3rd Baron Rayleigh are the titles of John William Strutt, after the death of his father, the 2nd Ba... |
Wikipedia:Rayleigh's quotient in vibrations analysis#0 | The Rayleigh quotient represents a quick method to estimate the natural frequency of both discrete and continuous oscillating systems. ω n 2 ≈ V T ~ {\displaystyle \omega _{n}^{2}\approx {\frac {V}{\tilde {T}}}} where ω n {\displaystyle \omega _{n}} is the natural frequency of the nth mode, V {\displaystyle V} is the p... |
Wikipedia:Raymond C. Archibald#0 | Raymond Clare Archibald (7 October 1875 – 26 July 1955) was a prominent Canadian-American mathematician. He is known for his work as a historian of mathematics, his editorships of mathematical journals and his contributions to the teaching of mathematics. == Biography == Raymond Clare Archibald was born in South Branch... |
Wikipedia:Raymond McLenaghan#0 | Raymond George McLenaghan (born 14 April 1939) is a Canadian theoretical physicist and mathematician. With Carminati, he is known for Carminati–McLenaghan invariants. == Notes == == External links == Raymond McLenaghan at the Mathematics Genealogy Project |
Wikipedia:Raymond Paley#0 | Raymond Edward Alan Christopher Paley (7 January 1907 – 7 April 1933) was an English mathematician who made significant contributions to mathematical analysis before dying young in a skiing accident. == Life == Paley was born in Bournemouth, England, the son of an artillery officer who died of tuberculosis before Paley... |
Wikipedia:Raúl Chávez Sarmiento#0 | Raúl Arturo Chávez Sarmiento (born 24 October 1997) is a Peruvian child prodigy in mathematics. At the age of 11 years, 271 days, he won a bronze medal at the 2009 International Mathematical Olympiad, making him the second youngest medalist in IMO history, behind Terence Tao, who won a bronze medal in 1986 at the age o... |
Wikipedia:Real Analysis Exchange#0 | The Real Analysis Exchange (RAEX) is a biannual mathematics journal, publishing survey articles, research papers, and conference reports in real analysis and related topics. Its editor-in-chief is Paul D. Humke. |
Wikipedia:Real coordinate space#0 | In mathematics, the real coordinate space or real coordinate n-space, of dimension n, denoted Rn or R n {\displaystyle \mathbb {R} ^{n}} , is the set of all ordered n-tuples of real numbers, that is the set of all sequences of n real numbers, also known as coordinate vectors. Special cases are called the real line R1, ... |
Wikipedia:Real-root isolation#0 | In mathematics, and, more specifically in numerical analysis and computer algebra, real-root isolation of a polynomial consist of producing disjoint intervals of the real line, which contain each one (and only one) real root of the polynomial, and, together, contain all the real roots of the polynomial. Real-root isola... |
Wikipedia:Real-valued function#0 | In mathematics, a real-valued function is a function whose values are real numbers. In other words, it is a function that assigns a real number to each member of its domain. Real-valued functions of a real variable (commonly called real functions) and real-valued functions of several real variables are the main object ... |
Wikipedia:Reality structure#0 | In mathematics, a real structure on a complex vector space is a way to decompose the complex vector space in the direct sum of two real vector spaces. The prototype of such a structure is the field of complex numbers itself, considered as a complex vector space over itself and with the conjugation map σ : C → C {\displ... |
Wikipedia:Rebeca Guber#0 | Rebeca Cherep de Guber (2 July 1926 – 25 August 2020) was an Argentine mathematician, university professor, textbook author, and 1960s pioneer in the development of computer science in Argentina. Guber died in 2020 from COVID-19. == Biography == Rebeca Cherep was born in Avellaneda, a suburb of Buenos Aires, Argentina.... |
Wikipedia:Rebecca Hoyle#0 | Rebecca Bryony Hoyle is a professor of applied mathematics at the University of Southampton, and associate dean for research at Southampton. She was the London Mathematical Society Mary Cartwright Lecturer for 2017. == Research == Hoyle describes herself as an interdisciplinary mathematician working on dynamical proces... |
Wikipedia:Rebecca Walo Omana#0 | Rebecca Walo Omana (born 15 July 1951) is a Congolese mathematician, professor, and reverend sister. Omana became the first female mathematics professor in the Democratic Republic of the Congo in 1982. She is the director of the mathematics and informatics doctoral program at the University of Kinshasa and is a vice-pr... |
Wikipedia:Reciprocal difference#0 | In mathematics, the reciprocal difference of a finite sequence of numbers ( x 0 , x 1 , . . . , x n ) {\displaystyle (x_{0},x_{1},...,x_{n})} on a function f ( x ) {\displaystyle f(x)} is defined inductively by the following formulas: ρ 1 ( x 1 , x 2 ) = x 1 − x 2 f ( x 1 ) − f ( x 2 ) {\displaystyle \rho _{1}(x_{1},x_... |
Wikipedia:Reciprocal rule#0 | In calculus, the reciprocal rule gives the derivative of the reciprocal of a function f in terms of the derivative of f. The reciprocal rule can be used to show that the power rule holds for negative exponents if it has already been established for positive exponents. Also, one can readily deduce the quotient rule from... |
Wikipedia:Recurrence relation#0 | In mathematics, a recurrence relation is an equation according to which the n {\displaystyle n} th term of a sequence of numbers is equal to some combination of the previous terms. Often, only k {\displaystyle k} previous terms of the sequence appear in the equation, for a parameter k {\displaystyle k} that is independ... |
Wikipedia:Recurrent word#0 | In mathematics, a recurrent word or sequence is an infinite word over a finite alphabet in which every factor occurs infinitely many times. An infinite word is recurrent if and only if it is a sesquipower. A uniformly recurrent word is a recurrent word in which for any given factor X in the sequence, there is some leng... |
Wikipedia:Red auxiliary number#0 | In the study of ancient Egyptian mathematics, red auxiliary numbers are numbers written in red ink in the Rhind Mathematical Papyrus, apparently used as aids for arithmetic computations involving fractions.It is considered to be the first examples of method that uses Least common multiples. == References == Gillings, R... |
Wikipedia:Reduced derivative#0 | In mathematics, the reduced derivative is a generalization of the notion of derivative that is well-suited to the study of functions of bounded variation. Although functions of bounded variation have derivatives in the sense of Radon measures, it is desirable to have a derivative that takes values in the same space as ... |
Wikipedia:Reducing subspace#0 | In linear algebra, a reducing subspace W {\displaystyle W} of a linear map T : V → V {\displaystyle T:V\to V} from a Hilbert space V {\displaystyle V} to itself is an invariant subspace of T {\displaystyle T} whose orthogonal complement W ⊥ {\displaystyle W^{\perp }} is also an invariant subspace of T . {\displaystyle ... |
Wikipedia:Reduction (mathematics)#0 | In mathematics, reduction refers to the rewriting of an expression into a simpler form. For example, the process of rewriting a fraction into one with the smallest whole-number denominator possible (while keeping the numerator a whole number) is called "reducing a fraction". Rewriting a radical (or "root") expression w... |
Wikipedia:Reflection (mathematics)#0 | In mathematics, a reflection (also spelled reflexion) is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as the set of fixed points; this set is called the axis (in dimension 2) or plane (in dimension 3) of reflection. The image of a figure by a reflection is its mirror image in the axi... |
Wikipedia:Regina S. Burachik#0 | Regina Sandra Burachik is an Argentine mathematician who works on optimization and analysis (particularly: convex analysis, functional analysis and non-smooth analysis). Currently, she is a professor at the University of South Australia. She earned her Ph.D. from the IMPA in 1995 under the supervision of Alfredo Noel I... |
Wikipedia:Regius Professor of Mathematics#0 | A Regius Professor is a university professor who has, or originally had, royal patronage or appointment. They are a unique feature of academia in the United Kingdom and Ireland. The first Regius Professorship was in the field of medicine, and founded by the Scottish King James IV at the University of Aberdeen in 1497. ... |
Wikipedia:Regular chain#0 | In mathematics, and more specifically in computer algebra and elimination theory, a regular chain is a particular kind of triangular set of multivariate polynomials over a field, where a triangular set is a finite sequence of polynomials such that each one contains at least one more indeterminate than the preceding one... |
Wikipedia:Regular number#0 | Regular numbers are numbers that evenly divide powers of 60 (or, equivalently, powers of 30). Equivalently, they are the numbers whose only prime divisors are 2, 3, and 5. As an example, 602 = 3600 = 48 × 75, so as divisors of a power of 60 both 48 and 75 are regular. These numbers arise in several areas of mathematics... |
Wikipedia:Regular semi-algebraic system#0 | In computer algebra, a regular semi-algebraic system is a particular kind of triangular system of multivariate polynomials over a real closed field. == Introduction == Regular chains and triangular decompositions are fundamental and well-developed tools for describing the complex solutions of polynomial systems. The no... |
Wikipedia:Regularization (mathematics)#0 | In mathematics, statistics, finance, and computer science, particularly in machine learning and inverse problems, regularization is a process that converts the answer to a problem to a simpler one. It is often used in solving ill-posed problems or to prevent overfitting. Although regularization procedures can be divide... |
Wikipedia:Regularization by spectral filtering#0 | Spectral regularization is any of a class of regularization techniques used in machine learning to control the impact of noise and prevent overfitting. Spectral regularization can be used in a broad range of applications, from deblurring images to classifying emails into a spam folder and a non-spam folder. For instanc... |
Wikipedia:Regularization perspectives on support vector machines#0 | Within mathematical analysis, Regularization perspectives on support-vector machines provide a way of interpreting support-vector machines (SVMs) in the context of other regularization-based machine-learning algorithms. SVM algorithms categorize binary data, with the goal of fitting the training set data in a way that ... |
Wikipedia:Regularized canonical correlation analysis#0 | In statistics, canonical-correlation analysis (CCA), also called canonical variates analysis, is a way of inferring information from cross-covariance matrices. If we have two vectors X = (X1, ..., Xn) and Y = (Y1, ..., Ym) of random variables, and there are correlations among the variables, then canonical-correlation a... |
Wikipedia:Regularized least squares#0 | Regularized least squares (RLS) is a family of methods for solving the least-squares problem while using regularization to further constrain the resulting solution. RLS is used for two main reasons. The first comes up when the number of variables in the linear system exceeds the number of observations. In such settings... |
Wikipedia:Reinhard Diestel#0 | Reinhard Diestel (born 1959) is a German mathematician specializing in graph theory, including the interplay among graph minors, matroid theory, tree decomposition, and infinite graphs. He holds the chair of discrete mathematics at the University of Hamburg. == Education and career == Diestel has a Ph.D. from the Unive... |
Wikipedia:Reinhold Baer#0 | Reinhold Baer (22 July 1902 – 22 October 1979) was a German mathematician, known for his work in algebra. He introduced injective modules in 1940. He is the eponym of Baer rings, Baer groups, and Baer subplanes. == Biography == Baer studied mechanical engineering for a year at Leibniz University Hannover. He then went ... |
Wikipedia:Reisner Papyrus#0 | The Reisner Papyri date to the reign of Senusret I, who was king of ancient Egypt in the 19th century BCE. The documents were discovered by G.A. Reisner during excavations in 1901–04 in Naga ed-Deir in southern Egypt. A total of four papyrus rolls were found in a wooden coffin in a tomb. The Reisner I Papyrus is about ... |
Wikipedia:Relation (mathematics)#0 | In mathematics, a relation denotes some kind of relationship between two objects in a set, which may or may not hold. As an example, "is less than" is a relation on the set of natural numbers; it holds, for instance, between the values 1 and 3 (denoted as 1 < 3), and likewise between 3 and 4 (denoted as 3 < 4), but not... |
Wikipedia:Relative dimension#0 | In mathematics, specifically linear algebra and geometry, relative dimension is the dual notion to codimension. In linear algebra, given a quotient map V → Q {\displaystyle V\to Q} , the difference dim V − dim Q is the relative dimension; this equals the dimension of the kernel. In fiber bundles, the relative dimension... |
Wikipedia:Rellich–Kondrachov theorem#0 | In mathematics, the Rellich–Kondrachov theorem is a compact embedding theorem concerning Sobolev spaces. It is named after the Austrian-German mathematician Franz Rellich and the Russian mathematician Vladimir Iosifovich Kondrashov. Rellich proved the L2 theorem and Kondrashov the Lp theorem. == Statement of the theore... |
Wikipedia:Remez inequality#0 | In mathematics, the Remez inequality, discovered by the Soviet mathematician Evgeny Yakovlevich Remez (Remez 1936), gives a bound on the sup norms of certain polynomials, the bound being attained by the Chebyshev polynomials. == The inequality == Let σ be an arbitrary fixed positive number. Define the class of polynomi... |
Wikipedia:Rena Bakhshi#0 | Rena Bakhshi (born 1981) is a Dutch computer scientist and mathematician and programme manager for the Netherlands eScience Center's natural sciences and engineering domain. == Life and work == Bakhshi holds two master’s degrees. The first is in Applied Mathematics from Baku State University in Azerbaijan and the secon... |
Wikipedia:Renate Scheidler#0 | Renate Scheidler (born 1960) is a German and Canadian mathematician and computer scientist specializing in computational number theory and its applications in cryptography. She is a professor at the University of Calgary, in the Department of Mathematics & Statistics and the Department of Computer Science. She is the c... |
Wikipedia:Rencontres numbers#0 | In combinatorics, the rencontres numbers are a triangular array of integers that enumerate permutations of the set { 1, ..., n } with specified numbers of fixed points: in other words, partial derangements. (Rencontre is French for encounter. By some accounts, the problem is named after a solitaire game.) For n ≥ 0 and... |
Wikipedia:Renfrey Potts#0 | Renfrey Burnard (Ren) Potts AO (1925–2005) was an Australian mathematician and is notable for the Potts model and his achievements in: operations research, especially networks; transportation science, car-following and road traffic; Ising-type models in mathematical physics; difference equations; and robotics. He was i... |
Wikipedia:Rentsen Enkhbat#0 | Rentsen Enkhbat is the current director of the Institute Mathematics at the National University of Mongolia in Ulaanbaatar, Mongolia. He is a professor of mathematics at the Business School of National University of Mongolia. == Education == He received his bachelor's, master's and Ph.D. degrees from Irkutsk State Univ... |
Wikipedia:René Gosse#0 | René Gosse (16 August 1883 – 22 December 1943) was a French mathematician and resistant during the Second World War. |
Wikipedia:René de Saussure#0 | René de Saussure (17 March 1868 – 2 December 1943) was a Swiss Esperantist and professional mathematician who composed important works about the linguistics of Esperanto and interlinguistics. == Biography == He was born in Geneva, Switzerland. René's father was the scientist Henri Louis Frédéric de Saussure. His brothe... |
Wikipedia:Rep-tile#0 | A necktie, long tie, or simply a tie, is a cloth article of formal neckwear or office attire worn for decorative or symbolic purposes, resting under a folded shirt collar or knotted at the throat, and usually draped down the chest. On rare occasions neckties are worn above a winged shirt collar. However, in occupations... |
Wikipedia:Representation of a Lie superalgebra#0 | In the mathematical field of representation theory, a representation of a Lie superalgebra is an action of Lie superalgebra L on a Z2-graded vector space V, such that if A and B are any two pure elements of L and X and Y are any two pure elements of V, then ( c 1 A + c 2 B ) ⋅ X = c 1 A ⋅ X + c 2 B ⋅ X {\displaystyle (... |
Wikipedia:Resolvent cubic#0 | In algebra, a resolvent cubic is one of several distinct, although related, cubic polynomials defined from a monic polynomial of degree four: P ( x ) = x 4 + a 3 x 3 + a 2 x 2 + a 1 x + a 0 . {\displaystyle P(x)=x^{4}+a_{3}x^{3}+a_{2}x^{2}+a_{1}x+a_{0}.} In each case: The coefficients of the resolvent cubic can be obta... |
Wikipedia:Resolvent set#0 | In linear algebra and operator theory, the resolvent set of a linear operator is a set of complex numbers for which the operator is in some sense "well-behaved". The resolvent set plays an important role in the resolvent formalism. == Definitions == Let X be a Banach space and let L : D ( L ) → X {\displaystyle L\colon... |
Wikipedia:Restricted isometry property#0 | In linear algebra, the restricted isometry property (RIP) characterizes matrices which are nearly orthonormal, at least when operating on sparse vectors. The concept was introduced by Emmanuel Candès and Terence Tao and is used to prove many theorems in the field of compressed sensing. There are no known large matrices... |
Wikipedia:Restricted power series#0 | In algebra, the ring of restricted power series is the subring of a formal power series ring that consists of power series whose coefficients approach zero as degree goes to infinity. Over a non-archimedean complete field, the ring is also called a Tate algebra. Quotient rings of the ring are used in the study of a for... |
Wikipedia:Resultant#0 | In mathematics, the resultant of two polynomials is a polynomial expression of their coefficients that is equal to zero if and only if the polynomials have a common root (possibly in a field extension), or, equivalently, a common factor (over their field of coefficients). In some older texts, the resultant is also call... |
Wikipedia:Reuben Burrow#0 | Reuben Burrow (30 December 1747 – 7 June 1792) was an English mathematician, surveyor and orientalist. Initially a teacher, he was appointed assistant to Sir Nevil Maskelyne, the fifth Astronomer Royal, at the Royal Greenwich Observatory, and was involved in the Schiehallion experiment. He later conducted research in I... |
Wikipedia:Reuven Rubinstein#0 | Reuven Rubinstein (Hebrew: ראובן רובינשטיין; 1938–2012) was an Israeli scientist known for his contributions to Monte Carlo simulation, applied probability, stochastic modeling, and stochastic optimization, having authored more than one hundred papers and six books. During his career, Rubinstein made fundamental and im... |
Wikipedia:Rhind Mathematical Papyrus#0 | The Rhind Mathematical Papyrus (RMP; also designated as papyrus British Museum 10057, pBM 10058, and Brooklyn Museum 37.1784Ea-b) is one of the best known examples of ancient Egyptian mathematics. It is one of two well-known mathematical papyri, along with the Moscow Mathematical Papyrus. The Rhind Papyrus is the large... |
Wikipedia:Rhind Mathematical Papyrus 2/n table#0 | The Rhind Mathematical Papyrus (RMP; also designated as papyrus British Museum 10057, pBM 10058, and Brooklyn Museum 37.1784Ea-b) is one of the best known examples of ancient Egyptian mathematics. It is one of two well-known mathematical papyri, along with the Moscow Mathematical Papyrus. The Rhind Papyrus is the large... |
Wikipedia:Riaz Ahsan#0 | Syed Riaz Ahsan (24 December 1951 – 8 September 2008) was a Pakistani statistician and mathematician who has worked in applied statistics, applied analysis, applications of special functions. He was a noted professor of applied statistics in University of Karachi, Karachi. Previously, he has served as the president of ... |
Wikipedia:Richard Birkeland#0 | Richard Birkeland (6 June 1879 – 10 April 1928) was a Norwegian mathematician, author and professor. He is known for his contributions to the theory of algebraic equations. == Biography == He was born at Farsund in Vest-Agder, Norway. He was the son of Theodor Birkeland (1834–1913) and Therese Karoline Overwien (1846–1... |
Wikipedia:Richard Brauer#0 | Richard Dagobert Brauer (February 10, 1901 – April 17, 1977) was a German and American mathematician. He worked mainly in abstract algebra, but made important contributions to number theory. He was the founder of modular representation theory. == Education and career == Alfred Brauer was Richard's brother and seven yea... |
Wikipedia:Richard Bruce Paris#0 | Richard Bruce Paris (23 January 1946 – 8 July 2022) was a British mathematician and reader at the Abertay University in Dundee, who specialized in calculus. He also had an honorary readership of the University of St. Andrews, Scotland. The research activity of Paris particularly concerned the asymptotics of integrals a... |
Wikipedia:Richard C. Maclaurin#0 | Richard Cockburn Maclaurin ( KOH-bərn; June 5, 1870 – January 15, 1920) was a Scottish-born U.S. educator and mathematical physicist. He was made president of MIT in 1909, and held the position until his death in 1920. During his tenure as president of MIT, the Institute moved across the Charles River from Boston to it... |
Wikipedia:Richard Courant#0 | Richard Courant (January 8, 1888 – January 27, 1972) was a German-American mathematician. He is best known by the general public for the book What is Mathematics?, co-written with Herbert Robbins. His research focused on the areas of real analysis, mathematical physics, the calculus of variations and partial differenti... |
Wikipedia:Richard Dedekind#0 | Julius Wilhelm Richard Dedekind (; German: [ˈdeːdəˌkɪnt]; 6 October 1831 – 12 February 1916) was a German mathematician who made important contributions to number theory, abstract algebra (particularly ring theory), and the axiomatic foundations of arithmetic. His best known contribution is the definition of real numbe... |
Wikipedia:Richard F. Bass#0 | Richard Franklin Bass is an American mathematician, the Board of Trustees Distinguished Professor Emeritus of Mathematics at the University of Connecticut. He is known for his work in probability theory. Bass earned his Ph.D. from the University of California, Berkeley in 1977 under the supervision of Pressley Millar. ... |
Wikipedia:Richard H. Stockbridge#0 | Richard H. Stockbridge is a Distinguished Professor Emeritus of Mathematics at the University of Wisconsin-Milwaukee. His contributions to research primarily involve stochastic control theory, optimal stopping and mathematical finance. Most notably, alongside Professors Thomas G. Kurtz, Kurt Helmes, and Chao Zhu, he de... |
Wikipedia:Richard J. Wood#0 | Richard J. Wood is a mathematics professor at Dalhousie University in Halifax, Nova Scotia, Canada. He graduated from McMaster University in 1972 with his M.Sc. and then later went on to do his Ph.D. at Dalhousie University. He is interested in category theory and lattice theory. == References == == Publications == Ern... |
Wikipedia:Richard Jozsa#0 | Richard Jozsa is an Australian mathematician who holds the Leigh Trapnell Chair in Quantum Physics at the University of Cambridge. He is a fellow of King's College, Cambridge, where his research investigates quantum information science. A pioneer of his field, he is the co-author of the Deutsch–Jozsa algorithm and one ... |
Wikipedia:Richard Maunder#0 | Charles Richard Francis Maunder (23 November 1937 – 5 June 2018) was a British mathematician and musicologist. == Early life == Maunder was educated at the Royal Grammar School, High Wycombe, and Jesus College, Cambridge, before going on to complete a PhD at Christ’s College, Cambridge, in 1962. After teaching at South... |
Wikipedia:Richard Nickl#0 | Richard Nickl (born 13 June 1980) is an Austrian mathematician and Professor of Mathematical Statistics at the University of Cambridge. He is a fellow of Gonville and Caius College. He grew up in Vienna, attended secondary school at the Theresianum there (graduating in 1998 with distinction) and obtained his academic d... |
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