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https://en.wikipedia.org/wiki/Star%20refinement | In mathematics, specifically in the study of topology and open covers of a topological space X, a star refinement is a particular kind of refinement of an open cover of X. A related concept is the notion of barycentric refinement.
Star refinements are used in the definition of fully normal space and in one definition... |
https://en.wikipedia.org/wiki/Killing%20form | In mathematics, the Killing form, named after Wilhelm Killing, is a symmetric bilinear form that plays a basic role in the theories of Lie groups and Lie algebras. Cartan's criteria (criterion of solvability and criterion of semisimplicity) show that Killing form has a close relationship to the semisimplicity of the Li... |
https://en.wikipedia.org/wiki/Double%20coset | In group theory, a field of mathematics, a double coset is a collection of group elements which are equivalent under the symmetries coming from two subgroups. More precisely, let be a group, and let and be subgroups. Let act on by left multiplication and let act on by right multiplication. For each in , the ... |
https://en.wikipedia.org/wiki/Mertens%27%20theorems | In analytic number theory, Mertens' theorems are three 1874 results related to the density of prime numbers proved by Franz Mertens.
In the following, let mean all primes not exceeding n.
First theorem
Mertens' first theorem is that
does not exceed 2 in absolute value for any . ()
Second theorem
Mertens' secon... |
https://en.wikipedia.org/wiki/Worm%20%28marketing%29 | The "Worm" is a market research analysis tool developed by the Roy Morgan statistics company (known than as Roy Morgan Research, who called it "The Reactor"), with the purpose of gauging an audience's reaction to some visual stimuli over some time period. The name "worm" describes its visual appearance – as a line grap... |
https://en.wikipedia.org/wiki/Keldysh%20Institute%20of%20Applied%20Mathematics | The Keldysh Institute of Applied Mathematics () is a research institute specializing in computational mathematics. It was established to solve computational tasks related to government programs of nuclear and fusion energy, space research and missile technology. The Institute is a part of the Department of Mathematical... |
https://en.wikipedia.org/wiki/Steklov%20Institute%20of%20Mathematics | Steklov Institute of Mathematics or Steklov Mathematical Institute () is a premier research institute based in Moscow, specialized in mathematics, and a part of the Russian Academy of Sciences. The institute is named after Vladimir Andreevich Steklov, who in 1919 founded the Institute of Physics and Mathematics in Len... |
https://en.wikipedia.org/wiki/Derived%20category | In mathematics, the derived category D(A) of an abelian category A is a construction of homological algebra introduced to refine and in a certain sense to simplify the theory of derived functors defined on A. The construction proceeds on the basis that the objects of D(A) should be chain complexes in A, with two such ... |
https://en.wikipedia.org/wiki/Ext | Ext, ext or EXT may refer to:
Ext functor, used in the mathematical field of homological algebra
Ext (JavaScript library), a programming library used to build interactive web applications
Exeter Airport (IATA airport code), in Devon, England
Exeter St Thomas railway station (station code), in Exeter, England
Exten... |
https://en.wikipedia.org/wiki/Combinatorial%20class | In mathematics, a combinatorial class is a countable set of mathematical objects, together with a size function mapping each object to a non-negative integer, such that there are finitely many objects of each size.
Counting sequences and isomorphism
The counting sequence of a combinatorial class is the sequence of the... |
https://en.wikipedia.org/wiki/Friedrich%20Hirzebruch | Friedrich Ernst Peter Hirzebruch ForMemRS (17 October 1927 – 27 May 2012) was a German mathematician, working in the fields of topology, complex manifolds and algebraic geometry, and a leading figure in his generation. He has been described as "the most important mathematician in Germany of the postwar period."
Educat... |
https://en.wikipedia.org/wiki/Salomon%20Bochner | Salomon Bochner (20 August 1899 – 2 May 1982) was an Austrian mathematician, known for work in mathematical analysis, probability theory and differential geometry.
Life
He was born into a Jewish family in Podgórze (near Kraków), then Austria-Hungary, now Poland. Fearful of a Russian invasion in Galicia at the beginnin... |
https://en.wikipedia.org/wiki/Gram%20matrix | In linear algebra, the Gram matrix (or Gramian matrix, Gramian) of a set of vectors in an inner product space is the Hermitian matrix of inner products, whose entries are given by the inner product . If the vectors are the columns of matrix then the Gram matrix is in the general case that the vector coordinates are... |
https://en.wikipedia.org/wiki/Turtle%20Geometry | Turtle Geometry is a college-level math text written by Hal Abelson and Andrea diSessa which aims to engage students in exploring mathematical properties visually via a simple programming language to maneuver the icon of a turtle trailing lines across a personal computer display.
See also
Turtle graphics
Turtle Geomet... |
https://en.wikipedia.org/wiki/Lindenbaum%E2%80%93Tarski%20algebra | In mathematical logic, the Lindenbaum–Tarski algebra (or Lindenbaum algebra) of a logical theory T consists of the equivalence classes of sentences of the theory (i.e., the quotient, under the equivalence relation ~ defined such that p ~ q exactly when p and q are provably equivalent in T). That is, two sentences are e... |
https://en.wikipedia.org/wiki/Interior%20algebra | In abstract algebra, an interior algebra is a certain type of algebraic structure that encodes the idea of the topological interior of a set. Interior algebras are to topology and the modal logic S4 what Boolean algebras are to set theory and ordinary propositional logic. Interior algebras form a variety of modal alge... |
https://en.wikipedia.org/wiki/Norm%20%28mathematics%29 | In mathematics, a norm is a function from a real or complex vector space to the non-negative real numbers that behaves in certain ways like the distance from the origin: it commutes with scaling, obeys a form of the triangle inequality, and is zero only at the origin. In particular, the Euclidean distance in a Euclidea... |
https://en.wikipedia.org/wiki/Dynamical%20systems%20theory | Dynamical systems theory is an area of mathematics used to describe the behavior of complex dynamical systems, usually by employing differential equations or difference equations. When differential equations are employed, the theory is called continuous dynamical systems. From a physical point of view, continuous dynam... |
https://en.wikipedia.org/wiki/Moving%20average | In statistics, a moving average (rolling average or running average) is a calculation to analyze data points by creating a series of averages of different selections of the full data set. It is also called a moving mean (MM) or rolling mean and is a type of finite impulse response filter. Variations include: simple, cu... |
https://en.wikipedia.org/wiki/Harold%20Davenport | Harold Davenport FRS (30 October 1907 – 9 June 1969) was an English mathematician, known for his extensive work in number theory.
Early life
Born on 30 October 1907 in Huncoat, Lancashire, Davenport was educated at Accrington Grammar School, the University of Manchester (graduating in 1927), and Trinity College, Cambr... |
https://en.wikipedia.org/wiki/Louis%20J.%20Mordell | Louis Joel Mordell (28 January 1888 – 12 March 1972) was an American-born British mathematician, known for pioneering research in number theory. He was born in Philadelphia, United States, in a Jewish family of Lithuanian extraction.
Education
Mordell was educated at the University of Cambridge where he completed the ... |
https://en.wikipedia.org/wiki/Circumscribed%20sphere | In geometry, a circumscribed sphere of a polyhedron is a sphere that contains the polyhedron and touches each of the polyhedron's vertices. The word circumsphere is sometimes used to mean the same thing, by analogy with the term circumcircle. As in the case of two-dimensional circumscribed circles (circumcircles), the... |
https://en.wikipedia.org/wiki/Inscribed%20sphere | In geometry, the inscribed sphere or insphere of a convex polyhedron is a sphere that is contained within the polyhedron and tangent to each of the polyhedron's faces. It is the largest sphere that is contained wholly within the polyhedron, and is dual to the dual polyhedron's circumsphere.
The radius of the sphere in... |
https://en.wikipedia.org/wiki/Topological%20Boolean%20algebra | Topological Boolean algebra may refer to:
In abstract algebra and mathematical logic, topological Boolean algebra is one of the many names that have been used for an interior algebra in the literature.
In the work of the mathematician R.S. Pierce, a topological Boolean algebra is a Boolean algebra equipped with both... |
https://en.wikipedia.org/wiki/John%20Selfridge | John Lewis Selfridge (February 17, 1927 – October 31, 2010), was an American mathematician who contributed to the fields of analytic number theory, computational number theory, and combinatorics.
Education
Selfridge received his Ph.D. in 1958 from the University of California, Los Angeles under the supervision of Theo... |
https://en.wikipedia.org/wiki/Universal%20coefficient%20theorem | In algebraic topology, universal coefficient theorems establish relationships between homology groups (or cohomology groups) with different coefficients. For instance, for every topological space , its integral homology groups:
completely determine its homology groups with coefficients in , for any abelian group :
... |
https://en.wikipedia.org/wiki/Molecular%20geometry | Molecular geometry is the three-dimensional arrangement of the atoms that constitute a molecule. It includes the general shape of the molecule as well as bond lengths, bond angles, torsional angles and any other geometrical parameters that determine the position of each atom.
Molecular geometry influences several prop... |
https://en.wikipedia.org/wiki/Peravia%20Province | Peravia () is a province in the southern region of the Dominican Republic. Before January 1, 2002 it was included in what is the new San José de Ocoa province, and published statistics and maps generally relate it to the old, larger, Peravia.
It is named after the Peravia Valley. Along the Azua Province, Peravia is c... |
https://en.wikipedia.org/wiki/Frobenius%20method | In mathematics, the method of Frobenius, named after Ferdinand Georg Frobenius, is a way to find an infinite series solution for a second-order ordinary differential equation of the form
with and .
in the vicinity of the regular singular point .
One can divide by to obtain a differential equation of the form
whi... |
https://en.wikipedia.org/wiki/San%20Jos%C3%A9%20de%20Ocoa%20Province | San José de Ocoa () is a province in the southern region of the Dominican Republic, and also the name of the province's capital city. It was split from Peravia on January 1, 2000. Published statistics and maps generally include this province in the old, larger, Peravia.
Municipalities and municipal districts
The provi... |
https://en.wikipedia.org/wiki/William%20George%20Horner | William George Horner (9 June 1786 – 22 September 1837) was a British mathematician. Proficient in classics and mathematics, he was a schoolmaster, headmaster and schoolkeeper who wrote extensively on functional equations, number theory and approximation theory, but also on optics. His contribution to approximation the... |
https://en.wikipedia.org/wiki/Vital%20statistics%20%28government%20records%29 | Vital statistics is accumulated data gathered on live births, deaths, migration, foetal deaths, marriages and divorces. The most common way of collecting information on these events is through civil registration, an administrative system used by governments to record vital events which occur in their populations. Effor... |
https://en.wikipedia.org/wiki/Irreducibility%20%28mathematics%29 | In mathematics, the concept of irreducibility is used in several ways.
A polynomial over a field may be an irreducible polynomial if it cannot be factored over that field.
In abstract algebra, irreducible can be an abbreviation for irreducible element of an integral domain; for example an irreducible polynomial.
I... |
https://en.wikipedia.org/wiki/Class%20function | In mathematics, especially in the fields of group theory and representation theory of groups, a class function is a function on a group G that is constant on the conjugacy classes of G. In other words, it is invariant under the conjugation map on G. Such functions play a basic role in representation theory.
Character... |
https://en.wikipedia.org/wiki/Semisimple%20module | In mathematics, especially in the area of abstract algebra known as module theory, a semisimple module or completely reducible module is a type of module that can be understood easily from its parts. A ring that is a semisimple module over itself is known as an Artinian semisimple ring. Some important rings, such as ... |
https://en.wikipedia.org/wiki/Convex%20conjugate | In mathematics and mathematical optimization, the convex conjugate of a function is a generalization of the Legendre transformation which applies to non-convex functions. It is also known as Legendre–Fenchel transformation, Fenchel transformation, or Fenchel conjugate (after Adrien-Marie Legendre and Werner Fenchel). ... |
https://en.wikipedia.org/wiki/Axiom%20of%20determinacy | In mathematics, the axiom of determinacy (abbreviated as AD) is a possible axiom for set theory introduced by Jan Mycielski and Hugo Steinhaus in 1962. It refers to certain two-person topological games of length ω. AD states that every game of a certain type is determined; that is, one of the two players has a winning... |
https://en.wikipedia.org/wiki/Bronis%C5%82aw%20Knaster | Bronisław Knaster (22 May 1893 – 3 November 1980) was a Polish mathematician; from 1939 a university professor in Lwów and from 1945 in Wrocław.
He is known for his work in point-set topology and in particular for his discoveries in 1922 of the hereditarily indecomposable continuum or pseudo-arc and of the Knaster con... |
https://en.wikipedia.org/wiki/Rodrigues%27%20formula | In mathematics, Rodrigues' formula (formerly called the Ivory–Jacobi formula) is a formula for the Legendre polynomials independently introduced by , and . The name "Rodrigues formula" was introduced by Heine in 1878, after Hermite pointed out in 1865 that Rodrigues was the first to discover it. The term is also used ... |
https://en.wikipedia.org/wiki/Olinde%20Rodrigues | Benjamin Olinde Rodrigues (6 October 1795 – 17 December 1851), more commonly known as Olinde Rodrigues, was a French banker, mathematician, and social reformer. In mathematics Rodrigues is remembered for Rodrigues' rotation formula for vectors, the Rodrigues formula about series of orthogonal polynomials and the Euler–... |
https://en.wikipedia.org/wiki/Similarity%20measure | In statistics and related fields, a similarity measure or similarity function or similarity metric is a real-valued function that quantifies the similarity between two objects. Although no single definition of a similarity exists, usually such measures are in some sense the inverse of distance metrics: they take on lar... |
https://en.wikipedia.org/wiki/Boost | Boost, boosted or boosting may refer to:
Science, technology and mathematics
Boost, positive manifold pressure in turbocharged engines
Boost (C++ libraries), a set of free peer-reviewed portable C++ libraries
Boost (material), a material branded and used by Adidas in the midsoles of shoes.
Boost, a loose term for... |
https://en.wikipedia.org/wiki/Vertex%20figure | In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off.
Definitions
Take some corner or vertex of a polyhedron. Mark a point somewhere along each connected edge. Draw lines across the connected faces, joining adjacent points around the face. When ... |
https://en.wikipedia.org/wiki/List%20of%20theorems%20called%20fundamental | In mathematics, a fundamental theorem is a theorem which is considered to be central and conceptually important for some topic. For example, the fundamental theorem of calculus gives the relationship between differential calculus and integral calculus. The names are mostly traditional, so that for example the fundament... |
https://en.wikipedia.org/wiki/Analytic%20proof | In mathematics, an analytic proof is a proof of a theorem in analysis that only makes use of methods from analysis, and which does not predominantly make use of algebraic or geometrical methods. The term was first used by Bernard Bolzano, who first provided a non-analytic proof of his intermediate value theorem and th... |
https://en.wikipedia.org/wiki/Generalized%20singular%20value%20decomposition | In linear algebra, the generalized singular value decomposition (GSVD) is the name of two different techniques based on the singular value decomposition (SVD). The two versions differ because one version decomposes two matrices (somewhat like the higher-order or tensor SVD) and the other version uses a set of constrain... |
https://en.wikipedia.org/wiki/Pendulum%20%28disambiguation%29 | A pendulum is a body suspended from a fixed support so that it swings freely back and forth under the influence of gravity.
Pendulum may also refer to:
Devices
Pendulum (mathematics), the mathematical principles of a pendulum
Pendulum clock, a kind of clock that uses a pendulum to keep time
Pendulum car, an experi... |
https://en.wikipedia.org/wiki/Weak%20equivalence | In mathematics, weak equivalence may refer to:
Weak equivalence of categories
Weak equivalence (homotopy theory)
Weak equivalence (formal languages) |
https://en.wikipedia.org/wiki/Julio%20Garavito%20Armero | Julio Garavito Armero (January 5, 1865 – March 11, 1920) was a Colombian astronomer.
Life
Born in Bogotá, he was a child prodigy in science and mathematics. He obtained his degrees as mathematician and civil engineer in the Universidad Nacional de Colombia (National university of Colombia). In 1892, he worked as the ... |
https://en.wikipedia.org/wiki/Gilbreath%27s%20conjecture | Gilbreath's conjecture is a conjecture in number theory regarding the sequences generated by applying the forward difference operator to consecutive prime numbers and leaving the results unsigned, and then repeating this process on consecutive terms in the resulting sequence, and so forth. The statement is named after ... |
https://en.wikipedia.org/wiki/Closed%20convex%20function | In mathematics, a function is said to be closed if for each , the sublevel set
is a closed set.
Equivalently, if the epigraph defined by
is closed, then the function is closed.
This definition is valid for any function, but most used for convex functions. A proper convex function is closed if and only if it is l... |
https://en.wikipedia.org/wiki/Bourbaki%E2%80%93Witt%20theorem | In mathematics, the Bourbaki–Witt theorem in order theory, named after Nicolas Bourbaki and Ernst Witt, is a basic fixed point theorem for partially ordered sets. It states that if X is a non-empty chain complete poset, and
such that
for all
then f has a fixed point. Such a function f is called inflationary or pr... |
https://en.wikipedia.org/wiki/Fixed-point%20theorem | In mathematics, a fixed-point theorem is a result saying that a function F will have at least one fixed point (a point x for which F(x) = x), under some conditions on F that can be stated in general terms.
In mathematical analysis
The Banach fixed-point theorem (1922) gives a general criterion guaranteeing that, if i... |
https://en.wikipedia.org/wiki/Regge%20calculus | In general relativity, Regge calculus is a formalism for producing simplicial approximations of spacetimes that are solutions to the Einstein field equation. The calculus was introduced by the Italian theoretician Tullio Regge in 1961.
Overview
The starting point for Regge's work is the fact that every four dimension... |
https://en.wikipedia.org/wiki/Coefficient%20of%20variation | In probability theory and statistics, the coefficient of variation (CV), also known as Normalized Root-Mean-Square Deviation (NRMSD), Percent RMS, and relative standard deviation (RSD), is a standardized measure of dispersion of a probability distribution or frequency distribution. It is defined as the ratio of the sta... |
https://en.wikipedia.org/wiki/Chain-complete%20partial%20order | In mathematics, specifically order theory, a partially ordered set is chain-complete if every chain in it has a least upper bound. It is ω-complete when every increasing sequence of elements (a type of countable chain) has a least upper bound; the same notion can be extended to other cardinalities of chains.
Examples
... |
https://en.wikipedia.org/wiki/Multidimensional%20analysis | In statistics, econometrics and related fields, multidimensional analysis (MDA) is a data analysis process that groups data into two categories: data dimensions and measurements. For example, a data set consisting of the number of wins for a single football team at each of several years is a single-dimensional (in this... |
https://en.wikipedia.org/wiki/LAPACK | LAPACK ("Linear Algebra Package") is a standard software library for numerical linear algebra. It provides routines for solving systems of linear equations and linear least squares, eigenvalue problems, and singular value decomposition. It also includes routines to implement the associated matrix factorizations such as... |
https://en.wikipedia.org/wiki/Heilbronn%20triangle%20problem | In discrete geometry and discrepancy theory, the Heilbronn triangle problem is a problem of placing points in the plane, avoiding triangles of small area. It is named after Hans Heilbronn, who conjectured that, no matter how points are placed in a given area, the smallest triangle area will be at most inversely proport... |
https://en.wikipedia.org/wiki/Hartley%20Rogers%20Jr. | Hartley Rogers Jr. (July 6, 1926 – July 17, 2015) was an American mathematician who worked in computability theory, and was a professor in the Mathematics Department of the Massachusetts Institute of Technology.
Biography
Born in 1926 in Buffalo, New York, he studied under Alonzo Church at Princeton, and received his ... |
https://en.wikipedia.org/wiki/Real%20projective%20space | In mathematics, real projective space, denoted or is the topological space of lines passing through the origin 0 in the real space It is a compact, smooth manifold of dimension , and is a special case of a Grassmannian space.
Basic properties
Construction
As with all projective spaces, RPn is formed by taking the... |
https://en.wikipedia.org/wiki/Upper%20topology | In mathematics, the upper topology on a partially ordered set X is the coarsest topology in which the closure of a singleton is the order section for each If is a partial order, the upper topology is the least order consistent topology in which all open sets are up-sets. However, not all up-sets must necessarily ... |
https://en.wikipedia.org/wiki/Monadic%20Boolean%20algebra | In abstract algebra, a monadic Boolean algebra is an algebraic structure A with signature
of type 〈2,2,1,0,0,1〉,
where 〈A, ·, +, ', 0, 1〉 is a Boolean algebra.
The monadic/unary operator ∃ denotes the existential quantifier, which satisfies the identities (using the received prefix notation for ∃):
is... |
https://en.wikipedia.org/wiki/Preference%20relation | The term preference relation is used to refer to orderings that describe human preferences for one thing over an other.
In mathematics, preferences may be modeled as a weak ordering or a semiorder, two different types of binary relation. One specific variation of weak ordering, a total preorder (= a connected, reflexi... |
https://en.wikipedia.org/wiki/3-manifold | In mathematics, a 3-manifold is a topological space that locally looks like a three-dimensional Euclidean space. A 3-manifold can be thought of as a possible shape of the universe. Just as a sphere looks like a plane to a small enough observer, all 3-manifolds look like our universe does to a small enough observer. Thi... |
https://en.wikipedia.org/wiki/Field%20of%20sets | In mathematics, a field of sets is a mathematical structure consisting of a pair consisting of a set and a family of subsets of called an algebra over that contains the empty set as an element, and is closed under the operations of taking complements in finite unions, and finite intersections.
Fields of sets sho... |
https://en.wikipedia.org/wiki/Dirac%20measure | In mathematics, a Dirac measure assigns a size to a set based solely on whether it contains a fixed element x or not. It is one way of formalizing the idea of the Dirac delta function, an important tool in physics and other technical fields.
Definition
A Dirac measure is a measure on a set (with any -algebra of subs... |
https://en.wikipedia.org/wiki/Cuthill%E2%80%93McKee%20algorithm | In numerical linear algebra, the Cuthill–McKee algorithm (CM), named after Elizabeth Cuthill and James McKee, is an algorithm to permute a sparse matrix that has a symmetric sparsity pattern into a band matrix form with a small bandwidth. The reverse Cuthill–McKee algorithm (RCM) due to Alan George and Joseph Liu i... |
https://en.wikipedia.org/wiki/Orust | Orust () is an island in western Sweden, and Sweden's third largest island. In 2014 Statistics Sweden declared it to instead be the fourth largest island, under a definition which adds artificial canals to the possible bodies of water surrounding an island. It has been noted that under this definition, all of Götaland ... |
https://en.wikipedia.org/wiki/Lie%E2%80%93Kolchin%20theorem | In mathematics, the Lie–Kolchin theorem is a theorem in the representation theory of linear algebraic groups; Lie's theorem is the analog for linear Lie algebras.
It states that if G is a connected and solvable linear algebraic group defined over an algebraically closed field and
a representation on a nonzero finite-... |
https://en.wikipedia.org/wiki/Gerhard%20Frey | Gerhard Frey (; born 1 June 1944) is a German mathematician, known for his work in number theory. Following an original idea of Hellegouarch, he developed the notion of Frey–Hellegouarch curves, a construction of an elliptic curve from a purported solution to the Fermat equation, that is central to Wiles's proof of Fer... |
https://en.wikipedia.org/wiki/T%C3%A4by | Täby () was previously a trimunicipal locality, with 66,292 inhabitants in 2013. However, as from 2016, Statistics Sweden has amalgamated this locality with the Stockholm urban area. It is the seat of Täby Municipality in Stockholm County, Sweden. It was also partly located in Danderyd Municipality (the Enebyberg area)... |
https://en.wikipedia.org/wiki/Variety%20%28universal%20algebra%29 | In universal algebra, a variety of algebras or equational class is the class of all algebraic structures of a given signature satisfying a given set of identities. For example, the groups form a variety of algebras, as do the abelian groups, the rings, the monoids etc. According to Birkhoff's theorem, a class of algebr... |
https://en.wikipedia.org/wiki/Derivative%20algebra | In mathematics:
In abstract algebra and mathematical logic a derivative algebra is an algebraic structure that provides an abstraction of the derivative operator in topology and which provides algebraic semantics for the modal logic wK3.
In abstract algebra, the derivative algebra of a not-necessarily associative al... |
https://en.wikipedia.org/wiki/Derivative%20algebra%20%28abstract%20algebra%29 | In abstract algebra, a derivative algebra is an algebraic structure of the signature
<A, ·, +, ', 0, 1, D>
where
<A, ·, +, ', 0, 1>
is a Boolean algebra and D is a unary operator, the derivative operator, satisfying the identities:
0D = 0
xDD ≤ x + xD
(x + y)D = xD + yD.
... |
https://en.wikipedia.org/wiki/Burgers%27%20equation | Burgers' equation or Bateman–Burgers equation is a fundamental partial differential equation and convection–diffusion equation occurring in various areas of applied mathematics, such as fluid mechanics, nonlinear acoustics, gas dynamics, and traffic flow. The equation was first introduced by Harry Bateman in 1915 and l... |
https://en.wikipedia.org/wiki/Donald%20Kingsbury | Donald MacDonald Kingsbury (born 12 February 1929, in San Francisco) is an American–Canadian science fiction author. Kingsbury taught mathematics at McGill University, Montreal, from 1956 until his retirement in 1986.
Bibliography
Books
Courtship Rite. New York : Simon and Schuster, July 1982. . (Nominated for Hugo... |
https://en.wikipedia.org/wiki/Positive%20set%20theory | In mathematical logic, positive set theory is the name for a class of alternative set theories in which the axiom of comprehension holds for at least the positive formulas (the smallest class of formulas containing atomic membership and equality formulas and closed under conjunction, disjunction, existential and unive... |
https://en.wikipedia.org/wiki/Jean%20Bourgain | Jean Louis, baron Bourgain (; – ) was a Belgian mathematician. He was awarded the Fields Medal in 1994 in recognition of his work on several core topics of mathematical analysis such as the geometry of Banach spaces, harmonic analysis, ergodic theory and nonlinear partial differential equations from mathematical phys... |
https://en.wikipedia.org/wiki/Lw%C3%B3w%20School%20of%20Mathematics | The Lwów school of mathematics () was a group of Polish mathematicians who worked in the interwar period in Lwów, Poland (since 1945 Lviv, Ukraine). The mathematicians often met at the famous Scottish Café to discuss mathematical problems, and published in the journal Studia Mathematica, founded in 1929. The school was... |
https://en.wikipedia.org/wiki/Martin%20J.%20Taylor | Sir Martin John Taylor, FRS (born 18 February 1952) is a British mathematician and academic. He was Professor of Pure Mathematics at the School of Mathematics, University of Manchester and, prior to its formation and merger, UMIST where he was appointed to a chair after moving from Trinity College, Cambridge in 1986. H... |
https://en.wikipedia.org/wiki/Killing%20vector%20field | In mathematics, a Killing vector field (often called a Killing field), named after Wilhelm Killing, is a vector field on a Riemannian manifold (or pseudo-Riemannian manifold) that preserves the metric. Killing fields are the infinitesimal generators of isometries; that is, flows generated by Killing fields are continu... |
https://en.wikipedia.org/wiki/L%C3%A9vy%20process | In probability theory, a Lévy process, named after the French mathematician Paul Lévy, is a stochastic process with independent, stationary increments: it represents the motion of a point whose successive displacements are random, in which displacements in pairwise disjoint time intervals are independent, and displace... |
https://en.wikipedia.org/wiki/Weyl%20tensor | In differential geometry, the Weyl curvature tensor, named after Hermann Weyl, is a measure of the curvature of spacetime or, more generally, a pseudo-Riemannian manifold. Like the Riemann curvature tensor, the Weyl tensor expresses the tidal force that a body feels when moving along a geodesic. The Weyl tensor diffe... |
https://en.wikipedia.org/wiki/Edgar%20de%20Wahl | Edgar Alexei Robert von Wahl (Interlingue: ; 23 August 1867 – 9 March 1948) was a Baltic German mathematics and physics teacher who lived in Tallinn, Estonia. He is best known as the creator of Interlingue, an international auxiliary language that was known as Occidental throughout his life.
A Baltic German, De Wahl ... |
https://en.wikipedia.org/wiki/Change%20of%20base | In mathematics, change of base can mean any of several things:
Changing numeral bases, such as converting from base 2 (binary) to base 10 (decimal). This is known as base conversion.
The logarithmic change-of-base formula, one of the logarithmic identities used frequently in algebra and calculus.
The method for changin... |
https://en.wikipedia.org/wiki/X0 | X0 may refer to:
Grammar
X0, denoting a sentence component
Zero-level projection, in X-bar theory
Head (linguistics), or nucleus
Science, technology and mathematics
SpaceShipOne flight 15P, a 2004 private spaceflight
X/0, division by zero
Turner syndrome, a disorder in which all or part of an X chromosome is ... |
https://en.wikipedia.org/wiki/Simplicial%20set | In mathematics, a simplicial set is an object composed of simplices in a specific way. Simplicial sets are higher-dimensional generalizations of directed graphs, partially ordered sets and categories. Formally, a simplicial set may be defined as a contravariant functor from the simplex category to the category of sets.... |
https://en.wikipedia.org/wiki/Canonical%20basis | In mathematics, a canonical basis is a basis of an algebraic structure that is canonical in a sense that depends on the precise context:
In a coordinate space, and more generally in a free module, it refers to the standard basis defined by the Kronecker delta.
In a polynomial ring, it refers to its standard basis gi... |
https://en.wikipedia.org/wiki/Warsaw%20School%20%28mathematics%29 | Warsaw School of Mathematics is the name given to a group of mathematicians who worked at Warsaw, Poland, in the two decades between the World Wars, especially in the fields of logic, set theory, point-set topology and real analysis. They published in the journal Fundamenta Mathematicae, founded in 1920—one of the worl... |
https://en.wikipedia.org/wiki/Krak%C3%B3w%20School%20of%20Mathematics | The Kraków School of Mathematics () was a subgroup of the Polish School of Mathematics represented by mathematicians from the Kraków universities—Jagiellonian University, and the AGH University of Science and Technology–active during the interwar period (1918–1939). Their areas of study were primarily classical analysi... |
https://en.wikipedia.org/wiki/Krystyna%20Kuperberg | Krystyna M. Kuperberg (born Krystyna M. Trybulec; 17 July 1944) is a Polish-American mathematician who currently works as a professor of mathematics at Auburn University, where she was formerly an Alumni Professor of Mathematics.
Early life and family
Her parents, Jan W. and Barbara H. Trybulec, were pharmacists and o... |
https://en.wikipedia.org/wiki/Wigner%20semicircle%20distribution | The Wigner semicircle distribution, named after the physicist Eugene Wigner, is the probability distribution on [−R, R] whose probability density function f is a scaled semicircle (i.e., a semi-ellipse) centered at (0, 0):
for −R ≤ x ≤ R, and f(x) = 0 if |x| > R. The parameter R is commonly referred to as the "radius"... |
https://en.wikipedia.org/wiki/Stanis%C5%82aw%20Zaremba%20%28mathematician%29 | Stanisław Zaremba (3 October 1863 – 23 November 1942) was a Polish mathematician and engineer. His research in partial differential equations, applied mathematics and classical analysis, particularly on harmonic functions, gained him a wide recognition. He was one of the mathematicians who contributed to the success of... |
https://en.wikipedia.org/wiki/Wigner%20distribution | Wigner distribution or Wigner function may refer to:
Wigner quasiprobability distribution (what is most commonly intended by term "Wigner function"): a quasiprobability distribution used in quantum physics, also known at the Wigner-Ville distribution
Wigner distribution function, used in signal processing, which is ... |
https://en.wikipedia.org/wiki/Kazimierz%20%C5%BBorawski | Paulin Kazimierz Stefan Żorawski (June 22, 1866 – January 23, 1953) was a Polish mathematician. His work earned him an honored place in mathematics alongside such Polish mathematicians as Wojciech Brudzewski, Jan Brożek (Broscius), Nicolas Copernicus, Samuel Dickstein, Stefan Banach, Stefan Bergman, Marian Rejewski, W... |
https://en.wikipedia.org/wiki/Normal%20basis | In mathematics, specifically the algebraic theory of fields, a normal basis is a special kind of basis for Galois extensions of finite degree, characterised as forming a single orbit for the Galois group. The normal basis theorem states that any finite Galois extension of fields has a normal basis. In algebraic number... |
https://en.wikipedia.org/wiki/Simplex%20category | In mathematics, the simplex category (or simplicial category or nonempty finite ordinal category) is the category of non-empty finite ordinals and order-preserving maps. It is used to define simplicial and cosimplicial objects.
Formal definition
The simplex category is usually denoted by . There are several equivalen... |
https://en.wikipedia.org/wiki/Eigenplane | In mathematics, an eigenplane is a two-dimensional invariant subspace in a given vector space. By analogy with the term eigenvector for a vector which, when operated on by a linear operator is another vector which is a scalar multiple of itself, the term eigenplane can be used to describe a two-dimensional plane (a 2-p... |
https://en.wikipedia.org/wiki/Primitive%20polynomial%20%28field%20theory%29 | In finite field theory, a branch of mathematics, a primitive polynomial is the minimal polynomial of a primitive element of the finite field . This means that a polynomial of degree with coefficients in is a primitive polynomial if it is monic and has a root in such that is the entire field . This implies that i... |
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