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https://en.wikipedia.org/wiki/Dirichlet%27s%20test | In mathematics, Dirichlet's test is a method of testing for the convergence of a series. It is named after its author Peter Gustav Lejeune Dirichlet, and was published posthumously in the Journal de Mathématiques Pures et Appliquées in 1862.
Statement
The test states that if is a sequence of real numbers and a seq... |
https://en.wikipedia.org/wiki/Glossary%20of%20arithmetic%20and%20diophantine%20geometry | This is a glossary of arithmetic and diophantine geometry in mathematics, areas growing out of the traditional study of Diophantine equations to encompass large parts of number theory and algebraic geometry. Much of the theory is in the form of proposed conjectures, which can be related at various levels of generality.... |
https://en.wikipedia.org/wiki/Height%20function | A height function is a function that quantifies the complexity of mathematical objects. In Diophantine geometry, height functions quantify the size of solutions to Diophantine equations and are typically functions from a set of points on algebraic varieties (or a set of algebraic varieties) to the real numbers.
For in... |
https://en.wikipedia.org/wiki/Bombieri%E2%80%93Lang%20conjecture | In arithmetic geometry, the Bombieri–Lang conjecture is an unsolved problem conjectured by Enrico Bombieri and Serge Lang about the Zariski density of the set of rational points of an algebraic variety of general type.
Statement
The weak Bombieri–Lang conjecture for surfaces states that if is a smooth surface of gene... |
https://en.wikipedia.org/wiki/Positive%20definiteness | In mathematics, positive definiteness is a property of any object to which a bilinear form or a sesquilinear form may be naturally associated, which is positive-definite. See, in particular:
Positive-definite bilinear form
Positive-definite function
Positive-definite function on a group
Positive-definite functiona... |
https://en.wikipedia.org/wiki/Jacobi%20sum | In mathematics, a Jacobi sum is a type of character sum formed with Dirichlet characters. Simple examples would be Jacobi sums J(χ, ψ) for Dirichlet characters χ, ψ modulo a prime number p, defined by
where the summation runs over all residues (for which neither a nor is 0). Jacobi sums are the analogues for fini... |
https://en.wikipedia.org/wiki/Thin%20set%20%28Serre%29 | In mathematics, a thin set in the sense of Serre, named after Jean-Pierre Serre, is a certain kind of subset constructed in algebraic geometry over a given field K, by allowed operations that are in a definite sense 'unlikely'. The two fundamental ones are: solving a polynomial equation that may or may not be the case;... |
https://en.wikipedia.org/wiki/Euclid%27s%20theorem | Euclid's theorem is a fundamental statement in number theory that asserts that there are infinitely many prime numbers. It was first proved by Euclid in his work Elements. There are several proofs of the theorem.
Euclid's proof
Euclid offered a proof published in his work Elements (Book IX, Proposition 20), which is p... |
https://en.wikipedia.org/wiki/Belyi%27s%20theorem | In mathematics, Belyi's theorem on algebraic curves states that any non-singular algebraic curve C, defined by algebraic number coefficients, represents a compact Riemann surface which is a ramified covering of the Riemann sphere, ramified at three points only.
This is a result of G. V. Belyi from 1979. At the time i... |
https://en.wikipedia.org/wiki/Spring%20%28mathematics%29 | In geometry, a spring is a surface in the shape of a coiled tube, generated by sweeping a circle about the path of a helix.
Definition
A spring wrapped around the z-axis can be defined parametrically by:
where
is the distance from the center of the tube to the center of the helix,
is the radius of the tube,
is ... |
https://en.wikipedia.org/wiki/Riemann%E2%80%93Roch%20theorem%20for%20surfaces | In mathematics, the Riemann–Roch theorem for surfaces describes the dimension of linear systems on an algebraic surface. The classical form of it was first given by , after preliminary versions of it were found by and . The sheaf-theoretic version is due to Hirzebruch.
Statement
One form of the Riemann–Roch theorem s... |
https://en.wikipedia.org/wiki/Madelung | Madelung is a German surname. It is also the name of multiple terms in mathematics and science based on people named Madelung.
People
Erwin Madelung (1881–1972), German physicist
Georg Hans Madelung (1889–1972), German aeronautical engineer
Otto Wilhelm Madelung (1846–1926), German surgeon
Wilferd Madelung (1930–2... |
https://en.wikipedia.org/wiki/Schur%20polynomial | In mathematics, Schur polynomials, named after Issai Schur, are certain symmetric polynomials in n variables, indexed by partitions, that generalize the elementary symmetric polynomials and the complete homogeneous symmetric polynomials. In representation theory they are the characters of polynomial irreducible repre... |
https://en.wikipedia.org/wiki/Semimodule | In mathematics, a semimodule over a semiring R is like a module over a ring except that it is only a commutative monoid rather than an abelian group.
Definition
Formally, a left R-semimodule consists of an additively-written commutative monoid M and a map from to M satisfying the following axioms:
.
A right... |
https://en.wikipedia.org/wiki/Intersection%20theory | In mathematics, intersection theory is one of the main branches of algebraic geometry, where it gives information about the intersection of two subvarieties of a given variety. The theory for varieties is older, with roots in Bézout's theorem on curves and elimination theory. On the other hand, the topological theory m... |
https://en.wikipedia.org/wiki/St%20Paul%27s%20School%20for%20Girls%2C%20Birmingham | St Paul's School For Girls is a voluntary aided, comprehensive, girls' school in Edgbaston, Birmingham, UK,
Admissions
It is a Roman Catholic school, and became a specialist school in maths and computing in September 2005. It is ethnically diverse, with a mixture of Black and White English/Irish pupils.
It is situate... |
https://en.wikipedia.org/wiki/Hecke%20character | In number theory, a Hecke character is a generalisation of a Dirichlet character, introduced by Erich Hecke to construct a class of
L-functions larger than Dirichlet L-functions, and a natural setting for the Dedekind zeta-functions and certain others which have functional equations analogous to that of the Riemann zet... |
https://en.wikipedia.org/wiki/Tate%27s%20thesis | In number theory, Tate's thesis is the 1950 PhD thesis of completed under the supervision of Emil Artin at Princeton University. In it, Tate used a translation invariant integration on the locally compact group of ideles to lift the zeta function twisted by a Hecke character, i.e. a Hecke L-function, of a number fiel... |
https://en.wikipedia.org/wiki/Hecke%20L-function | In mathematics, a Hecke L-function may refer to:
an L-function of a modular form
an L-function of a Hecke character |
https://en.wikipedia.org/wiki/Deviation%20analysis | Deviation analysis may mean;
in statistics; measurement of the absolute difference between any one number in a set and the mean of the set.
in social psychology; monitoring of the behavior of people or objects within systems to measure compliance with expected or desired norms in order to trigger alerts, identity us... |
https://en.wikipedia.org/wiki/P%20series | P series or P-series may refer to:
the p-series in mathematics, related to convergence of certain series
P-series fuels, blends of fuels
Huawei P series, mobile phone series by Huawei
IBM pSeries, computer series by IBM
Ruger P series – pistols
ThinkPad P series, mobile workstation line by Lenovo
Sony Cybersho... |
https://en.wikipedia.org/wiki/Small%20set%20%28category%20theory%29 | In category theory, a small set is one in a fixed universe of sets (as the word universe is used in mathematics in general). Thus, the category of small sets is the category of all sets one cares to consider. This is used when one does not wish to bother with set-theoretic concerns of what is and what is not considered... |
https://en.wikipedia.org/wiki/Large%20set%20%28combinatorics%29 | In combinatorial mathematics, a large set of positive integers
is one such that the infinite sum of the reciprocals
diverges. A small set is any subset of the positive integers that is not large; that is, one whose sum of reciprocals converges.
Large sets appear in the Müntz–Szász theorem and in the Erdős conjectur... |
https://en.wikipedia.org/wiki/Geometry%20Wars%3A%20Retro%20Evolved | Geometry Wars is a video game made by Bizarre Creations. Initially a minigame in Project Gotham Racing 2, an updated version, titled Retro Evolved, was eventually released for the Xbox 360. That version, at one point, held the record for the most downloaded Xbox Live Arcade Game.
Retro Evolved was later included in t... |
https://en.wikipedia.org/wiki/Ostrowski%20Prize | The Ostrowski Prize is a mathematics award given every odd year for outstanding mathematical achievement judged by an international jury from the universities of Basel, Jerusalem, Waterloo and the academies of Denmark and the Netherlands. Alexander Ostrowski, a longtime professor at the University of Basel, left his es... |
https://en.wikipedia.org/wiki/Robert%20M.%20Solovay | Robert Martin Solovay (born December 15, 1938) is an American mathematician specializing in set theory.
Biography
Solovay earned his Ph.D. from the University of Chicago in 1964 under the direction of Saunders Mac Lane, with a dissertation on A Functorial Form of the Differentiable Riemann–Roch theorem. Solovay has sp... |
https://en.wikipedia.org/wiki/Gaspar%20Schott | Gaspar Schott (German: Kaspar (or Caspar) Schott; Latin: Gaspar Schottus; 5 February 1608 – 22 May 1666) was a German Jesuit and scientist, specializing in the fields of physics, mathematics and natural philosophy, and known for his industry.
Biography
He was born at Bad Königshofen im Grabfeld. It is probable, but no... |
https://en.wikipedia.org/wiki/Lower%20convex%20envelope | In mathematics, the lower convex envelope of a function defined on an interval is defined at each point of the interval as the supremum of all convex functions that lie under that function, i.e.
See also
Convex hull
Lower envelope
Convex analysis |
https://en.wikipedia.org/wiki/List%20of%20Braunschweig%20University%20of%20Technology%20people | Among the people who have taught or studied at the Braunschweig University of Technology or its precursor, the Collegium Carolinum, are the following:
Natural sciences and mathematics
Ewald Banse — Geography
Ernst Otto Beckmann — Chemistry
August Wilhelm Heinrich Blasius — Zoology and Botany
Johann Heinrich Blasius — ... |
https://en.wikipedia.org/wiki/Regular%20singular%20point | In mathematics, in the theory of ordinary differential equations in the complex plane , the points of are classified into ordinary points, at which the equation's coefficients are analytic functions, and singular points, at which some coefficient has a singularity. Then amongst singular points, an important distinctio... |
https://en.wikipedia.org/wiki/Nicolaas%20Govert%20de%20Bruijn | Nicolaas Govert "Dick" de Bruijn (; 9 July 1918 – 17 February 2012) was a Dutch mathematician, noted for his many contributions in the fields of analysis, number theory, combinatorics and logic.
Biography
De Bruijn was born in The Hague where he attended elementary school between 1924 and 1930 and secondary school un... |
https://en.wikipedia.org/wiki/Francesco%20Paolo%20Cantelli | Francesco Paolo Cantelli (20 December 187521 July 1966) was an Italian mathematician. He made contributions to celestial mechanics, probability theory, and actuarial science.
Biography
Cantelli was born in Palermo. He received his doctorate in mathematics in 1899 from the University of Palermo with a thesis on celest... |
https://en.wikipedia.org/wiki/Lan | Lan or LAN may also refer to:
Science and technology
Local asymptotic normality, a fundamental property of regular models in statistics
Longitude of the ascending node, one of the orbital elements used to specify the orbit of an object in space
Łan, unit of measurement in Poland
Local area network, a computer netw... |
https://en.wikipedia.org/wiki/Generator%20%28mathematics%29 | In mathematics and physics, the term generator or generating set may refer to any of a number of related concepts. The underlying concept in each case is that of a smaller set of objects, together with a set of operations that can be applied to it, that result in the creation of a larger collection of objects, called ... |
https://en.wikipedia.org/wiki/Integral%20symbol | The integral symbol:
is used to denote integrals and antiderivatives in mathematics, especially in calculus.
History
The notation was introduced by the German mathematician Gottfried Wilhelm Leibniz in 1675 in his private writings; it first appeared publicly in the article "" (On a hidden geometry and analysis of in... |
https://en.wikipedia.org/wiki/Hyperbolic%20group | In group theory, more precisely in geometric group theory, a hyperbolic group, also known as a word hyperbolic group or Gromov hyperbolic group, is a finitely generated group equipped with a word metric satisfying certain properties abstracted from classical hyperbolic geometry. The notion of a hyperbolic group was int... |
https://en.wikipedia.org/wiki/Inductive%20dimension | In the mathematical field of topology, the inductive dimension of a topological space X is either of two values, the small inductive dimension ind(X) or the large inductive dimension Ind(X). These are based on the observation that, in n-dimensional Euclidean space Rn, (n − 1)-dimensional spheres (that is, the boundarie... |
https://en.wikipedia.org/wiki/Free%20Lie%20algebra | In mathematics, a free Lie algebra over a field K is a Lie algebra generated by a set X, without any imposed relations other than the defining relations of alternating K-bilinearity and the Jacobi identity.
Definition
The definition of the free Lie algebra generated by a set X is as follows:
Let X be a set and a m... |
https://en.wikipedia.org/wiki/Rizza | Rizza may refer to
Rizza (surname)
A frazione of Villafranca di Verona in the province of Verona, Italy
Isola Rizza, a commune in the province of Verona, Italy
Rizza manifold in differential geometry
Rizza Islam (born 1990), member of the Nation of Islam and social media influencer
RZA, an American rapper and record pr... |
https://en.wikipedia.org/wiki/Morgan%20Quitno%20Press | Morgan Quitno Press is a research and publishing company founded in 1989 and based in Lawrence, Kansas. The company compiled annual reference books of US state and city statistics. Its primary volumes included State Rankings, Health Care State Rankings, Education State Rankings, Crime State Rankings, City Crime Ranking... |
https://en.wikipedia.org/wiki/Side | Side or Sides may refer to:
Geometry
Edge (geometry) of a polygon (two-dimensional shape)
Face (geometry) of a polyhedron (three-dimensional shape)
Places
Side, Turkey, a city in Turkey
Side (Ainis), a town of Ainis, ancient Thessaly, Greece
Side (Caria), a town of ancient Caria, Anatolia
Side (Laconia), a town... |
https://en.wikipedia.org/wiki/Maxime%20B%C3%B4cher | Maxime Bôcher (August 28, 1867 – September 12, 1918) was an American mathematician who published about 100 papers on differential equations, series, and algebra. He also wrote elementary texts such as Trigonometry and Analytic Geometry. Bôcher's theorem, Bôcher's equation, and the Bôcher Memorial Prize are named after ... |
https://en.wikipedia.org/wiki/Kafr%20Abbush | Kafr 'Abbush () is a Palestinian town in the Tulkarm Governorate in the northwestern West Bank. According to the Palestinian Central Bureau of Statistics, Kafr 'Abbush had a population of approximately 1,488 inhabitants in mid-year 2006 and 1,739 by 2017. 24.8% of the population of Kafr 'Abbush were refugees in 1997. ... |
https://en.wikipedia.org/wiki/Ore%20extension | In mathematics, especially in the area of algebra known as ring theory, an Ore extension, named after Øystein Ore, is a special type of a ring extension whose properties are relatively well understood. Elements of a Ore extension are called Ore polynomials.
Ore extensions appear in several natural contexts, including... |
https://en.wikipedia.org/wiki/Analytic%20manifold | In mathematics, an analytic manifold, also known as a manifold, is a differentiable manifold with analytic transition maps. The term usually refers to real analytic manifolds, although complex manifolds are also analytic. In algebraic geometry, analytic spaces are a generalization of analytic manifolds such that singu... |
https://en.wikipedia.org/wiki/William%20Smyth%20%28professor%29 | William Smyth (February 2, 1797 – April 3, 1868) was an American academic and writer on mathematics and other subjects.
Early life
William Smyth was born in Pittston, Maine on February 2, 1797. He graduated from Bowdoin College in 1822, then studied theology at Andover Theological Seminary.
Career
In 1825, he became ... |
https://en.wikipedia.org/wiki/Macaulay2 | Macaulay2 is a free computer algebra system created by Daniel Grayson (from the University of Illinois at Urbana–Champaign) and Michael Stillman (from Cornell University) for computation in commutative algebra and algebraic geometry.
Overview
Macaulay2 is built around fast implementations of algorithms useful for comp... |
https://en.wikipedia.org/wiki/Bruno%20Mathsson | Bruno Mathsson (13 January 190717 August 1988) was a Swedish furniture designer and architect whose ideas aligned with functionalism, modernism, as well as old Swedish crafts tradition.
Biography
Mathsson was raised in the town of Värnamo in the Småland region of Sweden, the son of a master cabinet maker. After a sh... |
https://en.wikipedia.org/wiki/Ikeda%20map | In physics and mathematics, the Ikeda map is a discrete-time dynamical system given by the complex map
The original map was proposed first by Kensuke Ikeda as a model of light going around across a nonlinear optical resonator (ring cavity containing a nonlinear dielectric medium) in a more general form. It is reduced ... |
https://en.wikipedia.org/wiki/Constance%20Kamii | Constance Kamii was a Swiss-Japanese-American mathematics education scholar and psychologist. She was a professor in the Early Childhood Education Program
Department of Curriculum and Instruction at the University of Alabama in Birmingham, Alabama.
Overview
Constance Kamii was born in Geneva, Switzerland, and attended... |
https://en.wikipedia.org/wiki/Polarization | Polarization or polarisation may refer to:
Mathematics
Polarization of an Abelian variety, in the mathematics of complex manifolds
Polarization of an algebraic form, a technique for expressing a homogeneous polynomial in a simpler fashion by adjoining more variables
Polarization identity, expresses an inner product in... |
https://en.wikipedia.org/wiki/Plane%20geometry%20%28disambiguation%29 | In mathematics, plane geometry may refer to the geometry of a two-dimensional geometric object called a plane.
Most times it refers to Euclidean plane geometry, the geometry of plane figures,
More specifically it can refer to:
Euclidean plane geometry:
Cartesian geometry, the study of geometry using a coordinate s... |
https://en.wikipedia.org/wiki/Elliptic%20complex | In mathematics, in particular in partial differential equations and differential geometry, an elliptic complex generalizes the notion of an elliptic operator to sequences. Elliptic complexes isolate those features common to the de Rham complex and the Dolbeault complex which are essential for performing Hodge theory. ... |
https://en.wikipedia.org/wiki/Collinearity | In geometry, collinearity of a set of points is the property of their lying on a single line. A set of points with this property is said to be collinear (sometimes spelled as colinear). In greater generality, the term has been used for aligned objects, that is, things being "in a line" or "in a row".
Points on a line
... |
https://en.wikipedia.org/wiki/Dolbeault%20cohomology | In mathematics, in particular in algebraic geometry and differential geometry, Dolbeault cohomology (named after Pierre Dolbeault) is an analog of de Rham cohomology for complex manifolds. Let M be a complex manifold. Then the Dolbeault cohomology groups depend on a pair of integers p and q and are realized as a sub... |
https://en.wikipedia.org/wiki/Set%20%28music%29 | A set (pitch set, pitch-class set, set class, set form, set genus, pitch collection) in music theory, as in mathematics and general parlance, is a collection of objects. In musical contexts the term is traditionally applied most often to collections of pitches or pitch-classes, but theorists have extended its use to ot... |
https://en.wikipedia.org/wiki/Gerard%20Murphy | Gerard Murphy may refer to:
Gerard Murphy (politician) (born 1951), Irish Fine Gael politician, TD for Cork North West
Gerard Murphy (mathematician) (1948–2006), Irish mathematics professor
Gerard Murphy (actor) (1948–2013), Irish film, television and theatre actor
See also
Gerry Murphy (disambiguation) |
https://en.wikipedia.org/wiki/Bring%20radical | In algebra, the Bring radical or ultraradical of a real number a is the unique real root of the polynomial
The Bring radical of a complex number a is either any of the five roots of the above polynomial (it is thus multi-valued), or a specific root, which is usually chosen such that the Bring radical is real-valued fo... |
https://en.wikipedia.org/wiki/Tubular%20neighborhood | In mathematics, a tubular neighborhood of a submanifold of a smooth manifold is an open set around it resembling the normal bundle.
The idea behind a tubular neighborhood can be explained in a simple example. Consider a smooth curve in the plane without self-intersections. On each point on the curve draw a line perpe... |
https://en.wikipedia.org/wiki/ACM%20Computing%20Classification%20System | The ACM Computing Classification System (CCS) is a subject classification system for computing devised by the Association for Computing Machinery (ACM). The system is comparable to the Mathematics Subject Classification (MSC) in scope, aims, and structure, being used by the various ACM journals to organize subjects by ... |
https://en.wikipedia.org/wiki/Multiple%20line%20segment%20intersection | In computational geometry, the multiple line segment intersection problem supplies a list of line segments in the Euclidean plane and asks whether any two of them intersect (cross).
Simple algorithms examine each pair of segments. However, if a large number of possibly intersecting segments are to be checked, this bec... |
https://en.wikipedia.org/wiki/Binary%20icosahedral%20group | In mathematics, the binary icosahedral group 2I or is a certain nonabelian group of order 120.
It is an extension of the icosahedral group I or (2,3,5) of order 60 by the cyclic group of order 2, and is the preimage of the icosahedral group under the 2:1 covering homomorphism
of the special orthogonal group by the sp... |
https://en.wikipedia.org/wiki/Fatou%E2%80%93Lebesgue%20theorem | In mathematics, the Fatou–Lebesgue theorem establishes a chain of inequalities relating the integrals (in the sense of Lebesgue) of the limit inferior and the limit superior of a sequence of functions to the limit inferior and the limit superior of integrals of these functions. The theorem is named after Pierre Fatou ... |
https://en.wikipedia.org/wiki/Developable | In mathematics, the term developable may refer to:
A developable space in general topology.
A developable surface in geometry.
A tangent developable surface of a space curve
Mathematics disambiguation pages |
https://en.wikipedia.org/wiki/School%20Mathematics%20Project | The School Mathematics Project arose in the United Kingdom as part of the new mathematics educational movement of the 1960s. It is a developer of mathematics textbooks for secondary schools, formerly based in Southampton in the UK.
Now generally known as SMP, it began as a research project inspired by a 1961 conferenc... |
https://en.wikipedia.org/wiki/Boolean%20operation | Boolean operation or Boolean operator may refer to:
Boolean function, a function whose arguments and result assume values from a two-element set
Boolean operation (Boolean algebra), a logical operation in Boolean algebra (AND, OR and NOT)
Boolean operator (computer programming), part of a Boolean expression in a compu... |
https://en.wikipedia.org/wiki/Overlapping%20interval%20topology | In mathematics, the overlapping interval topology is a topology which is used to illustrate various topological principles.
Definition
Given the closed interval of the real number line, the open sets of the topology are generated from the half-open intervals with and with . The topology therefore consists of inte... |
https://en.wikipedia.org/wiki/Whitehead%20group | Whitehead group in mathematics may mean:
A group W with Ext(W, Z)=0; see Whitehead problem
For a ring, the Whitehead group Wh(A) of a ring A, equal to
For a group, the Whitehead group Wh(G) of a group G, equal to K1(Z[G])/{±G}. Note that this is a quotient of the Whitehead group of the group ring.
The Whitehead g... |
https://en.wikipedia.org/wiki/Blind%20deconvolution | In electrical engineering and applied mathematics, blind deconvolution is deconvolution without explicit knowledge of the impulse response function used in the convolution. This is usually achieved by making appropriate assumptions of the input to estimate the impulse response by analyzing the output. Blind deconvoluti... |
https://en.wikipedia.org/wiki/Transcritical%20bifurcation | In bifurcation theory, a field within mathematics, a transcritical bifurcation is a particular kind of local bifurcation, meaning that it is characterized by an equilibrium having an eigenvalue whose real part passes through zero.
A transcritical bifurcation is one in which a fixed point exists for all values of a par... |
https://en.wikipedia.org/wiki/Statistics%20Commission | The Statistics Commission was a non-departmental public body established in June 2000 by the UK Government to oversee the work of the Office for National Statistics.
Its chairman was Professor David Rhind who succeeded the first chairman, Sir John Kingman, in May 2003. Although it was non-departmental, the commission ... |
https://en.wikipedia.org/wiki/F.%20and%20M.%20Riesz%20theorem | In mathematics, the F. and M. Riesz theorem is a result of the brothers Frigyes Riesz and Marcel Riesz, on analytic measures. It states that for a measure μ on the circle, any part of μ that is not absolutely continuous with respect to the Lebesgue measure dθ can be detected by means of Fourier coefficients.
More prec... |
https://en.wikipedia.org/wiki/Family%20Resources%20Survey | The Family Resources Survey (FRS) is one of the United Kingdom's largest household surveys. It is carried out by the Office for National Statistics (ONS) with the National Centre for Social Research (NatCen), and Northern Ireland Statistics and Research Agency (NISRA) on an annual basis, by collecting information on th... |
https://en.wikipedia.org/wiki/Wedderburn%27s%20theorem | Wedderburn's theorem may refer to:
Artin–Wedderburn theorem, classifying semisimple rings and semisimple algebras
Wedderburn's theorem on simple rings with a unit and a minimal left ideal
Wedderburn's little theorem, that a finite domain is a commutative field |
https://en.wikipedia.org/wiki/Fekete%20polynomial | In mathematics, a Fekete polynomial is a polynomial
where is the Legendre symbol modulo some integer p > 1.
These polynomials were known in nineteenth-century studies of Dirichlet L-functions, and indeed to Dirichlet himself. They have acquired the name of Michael Fekete, who observed that the absence of real zeroes... |
https://en.wikipedia.org/wiki/Decahedron | In geometry, a decahedron is a polyhedron with ten faces. There are 32300 topologically distinct decahedra, and none are regular, so this name does not identify a specific type of polyhedron except for the number of faces.
Some decahedra have regular faces:
Octagonal prism (uniform 8-prism)
Square antiprism (unifor... |
https://en.wikipedia.org/wiki/Dmitri%20Egorov | Dmitri Fyodorovich Egorov (; December 22, 1869 – September 10, 1931) was a Russian and Soviet mathematician known for contributions to the areas of differential geometry and mathematical analysis. He was President of the Moscow Mathematical Society (1923–1930).
Life
Egorov held spiritual beliefs to be of great importa... |
https://en.wikipedia.org/wiki/Local%20cohomology | In algebraic geometry, local cohomology is an algebraic analogue of relative cohomology. Alexander Grothendieck introduced it in seminars in Harvard in 1961 written up by , and in 1961-2 at IHES written up as SGA2 - , republished as . Given a function (more generally, a section of a quasicoherent sheaf) defined on an ... |
https://en.wikipedia.org/wiki/Hirzebruch%20surface | In mathematics, a Hirzebruch surface is a ruled surface over the projective line. They were studied by .
Definition
The Hirzebruch surface is the -bundle, called a Projective bundle, over associated to the sheafThe notation here means: is the -th tensor power of the Serre twist sheaf , the invertible sheaf or line ... |
https://en.wikipedia.org/wiki/Schwarz%20reflection%20principle | In mathematics, the Schwarz reflection principle is a way to extend the domain of definition of a complex analytic function, i.e., it is a form of analytic continuation. It states that if an analytic function is defined on the upper half-plane, and has well-defined (non-singular) real values on the real axis, then it c... |
https://en.wikipedia.org/wiki/B%C3%B4cher%27s%20theorem | In mathematics, Bôcher's theorem is either of two theorems named after the American mathematician Maxime Bôcher.
Bôcher's theorem in complex analysis
In complex analysis, the theorem states that the finite zeros of the derivative of a non-constant rational function that are not multiple zeros are also the positions ... |
https://en.wikipedia.org/wiki/Hausdorff%20moment%20problem | In mathematics, the Hausdorff moment problem, named after Felix Hausdorff, asks for necessary and sufficient conditions that a given sequence be the sequence of moments
of some Borel measure supported on the closed unit interval . In the case , this is equivalent to the existence of a random variable supported on ,... |
https://en.wikipedia.org/wiki/Hamburger%20moment%20problem | In mathematics, the Hamburger moment problem, named after Hans Ludwig Hamburger, is formulated as follows: given a sequence (m0, m1, m2, ...), does there exist a positive Borel measure μ (for instance, the measure determined by the cumulative distribution function of a random variable) on the real line such that
In ot... |
https://en.wikipedia.org/wiki/Statistics%20Online%20Computational%20Resource | The Statistics Online Computational Resource (SOCR) is an online multi-institutional research and education organization. SOCR designs, validates and broadly shares a suite of online tools for statistical computing, and interactive materials for hands-on learning and teaching concepts in data science, statistical analy... |
https://en.wikipedia.org/wiki/Steven%20Pemberton | Steven Pemberton is a researcher affiliated with the Distributed and Interactive Systems group at the Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands.
He was one of the designers of ABC, a programming language released in 1987, and editor-in... |
https://en.wikipedia.org/wiki/K-group | K-group or K group may refer to:
A group in algebraic K-theory
A group in topological K-theory
A complemented group
K-gruppen (K-groups), small Communist groups in 1970s Germany |
https://en.wikipedia.org/wiki/Landscape%20of%20Geometry | Landscape of Geometry was an educational television show that illustrated the principles and applications of geometry. The series was produced and broadcast by TVOntario in 1982–83 and was hosted by David Stringer. A videotape edition of the show was produced in 1992 by Films for the Humanities.
Episode list
Eight e... |
https://en.wikipedia.org/wiki/Symmetric%20derivative | In mathematics, the symmetric derivative is an operation generalizing the ordinary derivative. It is defined as
The expression under the limit is sometimes called the symmetric difference quotient. A function is said to be symmetrically differentiable at a point x if its symmetric derivative exists at that point.
If ... |
https://en.wikipedia.org/wiki/Napier-Hastings%20Urban%20Area | The Napier-Hastings Urban Area was defined by Statistics New Zealand (Stats NZ) as a main urban area of New Zealand that was based around the twin cities of Napier and Hastings in the Hawke's Bay Region. It was defined under the New Zealand Standard Areas Classification 1992 (NZSAC92), which has since been superseded b... |
https://en.wikipedia.org/wiki/2E6 | 2E6 may refer to:
EIA Class 2 dielectric
2E6 group in mathematics |
https://en.wikipedia.org/wiki/Statistical%20literacy | Statistical literacy is the ability to understand and reason with statistics and data. The abilities to understand and reason with data, or arguments that use data, are necessary for citizens to understand material presented in publications such as newspapers, television, and the Internet. However, scientists also need... |
https://en.wikipedia.org/wiki/List%20of%20lay%20Catholic%20scientists | Many Catholics have made significant contributions to the development of science and mathematics from the Middle Ages to today. These scientists include Galileo Galilei, René Descartes, Louis Pasteur, Blaise Pascal, André-Marie Ampère, Charles-Augustin de Coulomb, Pierre de Fermat, Antoine Laurent Lavoisier, Alessandro... |
https://en.wikipedia.org/wiki/Small%20Latin%20squares%20and%20quasigroups | Latin squares and quasigroups are equivalent mathematical objects, although the former has a combinatorial nature while the latter is more algebraic. The listing below will consider the examples of some very small orders, which is the side length of the square, or the number of elements in the equivalent quasigroup.
T... |
https://en.wikipedia.org/wiki/Symmetrically%20continuous%20function | In mathematics, a function is symmetrically continuous at a point x if
The usual definition of continuity implies symmetric continuity, but the converse is not true. For example, the function is symmetrically continuous at , but not continuous.
Also, symmetric differentiability implies symmetric continuity, but the... |
https://en.wikipedia.org/wiki/Second%20derivative | In calculus, the second derivative, or the second-order derivative, of a function is the derivative of the derivative of . Informally, the second derivative can be phrased as "the rate of change of the rate of change"; for example, the second derivative of the position of an object with respect to time is the instanta... |
https://en.wikipedia.org/wiki/Reflection%20principle | In set theory, a branch of mathematics, a reflection principle says that it is possible to find sets that, with respect to any given property, resemble the class of all sets. There are several different forms of the reflection principle depending on exactly what is meant by "resemble". Weak forms of the reflection prin... |
https://en.wikipedia.org/wiki/Reflection%20theorem | In algebraic number theory, a reflection theorem or Spiegelungssatz (German for reflection theorem – see Spiegel and Satz) is one of a collection of theorems linking the sizes of different ideal class groups (or ray class groups), or the sizes of different isotypic components of a class group. The original example is ... |
https://en.wikipedia.org/wiki/Proth%27s%20theorem | In number theory, Proth's theorem is a primality test for Proth numbers.
It states that if p is a Proth number, of the form k2n + 1 with k odd and k < 2n, and if there exists an integer a for which
then p is prime. In this case p is called a Proth prime. This is a practical test because if p is prime, any chosen a ha... |
https://en.wikipedia.org/wiki/Coadjoint%20representation | In mathematics, the coadjoint representation of a Lie group is the dual of the adjoint representation. If denotes the Lie algebra of , the corresponding action of on , the dual space to , is called the coadjoint action. A geometrical interpretation is as the action by left-translation on the space of right-invarian... |
https://en.wikipedia.org/wiki/Sum%20of%20normally%20distributed%20random%20variables | In probability theory, calculation of the sum of normally distributed random variables is an instance of the arithmetic of random variables.
This is not to be confused with the sum of normal distributions which forms a mixture distribution.
Independent random variables
Let X and Y be independent random variables that... |
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