source stringlengths 31 168 | text stringlengths 51 3k |
|---|---|
https://en.wikipedia.org/wiki/Institute%20for%20the%20Promotion%20of%20Teaching%20Science%20and%20Technology | The Institute for the Promotion of Teaching Science and Technology (IPST) is a Thai state agency, founded in 1972. Its responsibilities include the development of national science and mathematics curricula, and sponsorship of science education, as well as the promotion of science in general. It is also Thailand's coord... |
https://en.wikipedia.org/wiki/Peter%20Bouwknegt | Pier Gerard "Peter" Bouwknegt (born 20 April 1961, Geldrop) is professor of theoretical physics and mathematics at the Australian National University (ANU), and deputy director of their Mathematical Sciences Institute. He is an adjunct professor at University of Adelaide.
Biography
He studied Theoretical Physics and M... |
https://en.wikipedia.org/wiki/Smooth%20scheme | In algebraic geometry, a smooth scheme over a field is a scheme which is well approximated by affine space near any point. Smoothness is one way of making precise the notion of a scheme with no singular points. A special case is the notion of a smooth variety over a field. Smooth schemes play the role in algebraic geom... |
https://en.wikipedia.org/wiki/Distortion%20risk%20measure | In financial mathematics and economics, a distortion risk measure is a type of risk measure which is related to the cumulative distribution function of the return of a financial portfolio.
Mathematical definition
The function associated with the distortion function is a distortion risk measure if for any random var... |
https://en.wikipedia.org/wiki/1943%E2%80%9344%20Galatasaray%20S.K.%20season | The 1943–44 season was Galatasaray SK's 40th in existence and the club's 32nd consecutive season in the Istanbul Football League.
Squad statistics
Squad changes for the 1943–1944 season
In:
Istanbul Football League
Classification
Matches
Kick-off listed in local time (EEST)
Istanbul Futbol Kupası
3rd Round
1/4 ... |
https://en.wikipedia.org/wiki/1944%E2%80%9345%20Galatasaray%20S.K.%20season | The 1944–45 season was Galatasaray SK's 41st in existence and the club's 33rd consecutive season in the Istanbul Football League.
Squad statistics
Squad changes for the 1944–1945 season
In:
Competitions
Istanbul Football League
Classification
Matches
Kick-off listed in local time (EEST)
Milli Küme
Classificatio... |
https://en.wikipedia.org/wiki/Eberlein%20compactum | In mathematics an Eberlein compactum, studied by William Frederick Eberlein, is a compact topological space homeomorphic to a subset of a Banach space with the weak topology.
Every compact metric space, more generally every one-point compactification of a locally compact metric space, is Eberlein compact. The converse ... |
https://en.wikipedia.org/wiki/Reflected%20Brownian%20motion | In probability theory, reflected Brownian motion (or regulated Brownian motion, both with the acronym RBM) is a Wiener process in a space with reflecting boundaries. In the physical literature, this process describes diffusion in a confined space and it is often called confined Brownian motion. For example it can desc... |
https://en.wikipedia.org/wiki/Bott%20cannibalistic%20class | In mathematics, the Bott cannibalistic class, introduced by , is an element of the representation ring of a compact Lie group that describes the action of the Adams operation on the Thom class of a complex representation . The term "cannibalistic" for these classes was introduced by .
References
Representation th... |
https://en.wikipedia.org/wiki/List%20of%20Philippine%20Basketball%20Association%20career%20rebounding%20leaders | This is a list of the Philippine Basketball Association players in total career rebounds.
Statistics accurate and correct as of December 22, 2022.
See also
List of Philippine Basketball Association players
References
External links
Philippine Basketball Association All-time Most Rebounds Leaders – PBA Online.net
Ph... |
https://en.wikipedia.org/wiki/Subhash%20Suri | Subhash Suri (born July 7, 1960) is an Indian-American computer scientist, a professor at the University of California, Santa Barbara. He is known for his research in computational geometry, computer networks, and algorithmic game theory.
Biography
Suri did his undergraduate studies at the Indian Institute of Technolo... |
https://en.wikipedia.org/wiki/Posterior%20predictive%20distribution | In Bayesian statistics, the posterior predictive distribution is the distribution of possible unobserved values conditional on the observed values.
Given a set of N i.i.d. observations , a new value will be drawn from a distribution that depends on a parameter , where is the parameter space.
It may seem tempting ... |
https://en.wikipedia.org/wiki/William%20S.%20Zwicker | William Seymour Zwicker (born 1949) is an American mathematician and the William D. Williams Professor of Mathematics at Union College in Schenectady, New York.
Zwicker earned a bachelor's degree from Harvard University in 1971, and a Ph.D from Massachusetts Institute of Technology in 1976, under the supervision of Eu... |
https://en.wikipedia.org/wiki/Polygraph%20%28mathematics%29 | In mathematics, and particularly in category theory, a polygraph is a generalisation of a directed graph. It is also known as a computad. They were introduced as "polygraphs" by Albert Burroni and as "computads" by Ross Street.
In the same way that a directed multigraph can freely generate a category, an n-computad ... |
https://en.wikipedia.org/wiki/Gunnar%20Carlsson | Gunnar E. Carlsson (born August 22, 1952 in Stockholm, Sweden) is an American mathematician, working in algebraic topology. He is known for his work on the Segal conjecture, and for his work on applied algebraic topology, especially topological data analysis. He is a Professor Emeritus in the Department of Mathematics ... |
https://en.wikipedia.org/wiki/Ditkin%20set | In mathematics, a Ditkin set, introduced by , is a closed subset of the circle such that a function f vanishing on the set can be approximated by functions φnf with φ vanishing in a neighborhood of the set.
References
Mathematical analysis |
https://en.wikipedia.org/wiki/2009%E2%80%9310%201.%20FC%20N%C3%BCrnberg%20season | The 2009–10 1. FC Nürnberg season was the 110th season in the club's football history.
Match results
Legend
Bundesliga
Playoff
DFB-Pokal
Player information
Roster and statistics
Transfers
In
Pula Pizda Coaiele
Out
Kits
Sources
1. FC Nürnberg seasons
Nuremberg |
https://en.wikipedia.org/wiki/Endrass%20surface | In algebraic geometry, an Endrass surface is a nodal surface of degree 8 with 168 real nodes, found by . , it remained the record-holder for the most number of real nodes for its degree; however, the best proven upper bound, 174, does not match the lower bound given by this surface.
See also
Barth surface
Sarti surfa... |
https://en.wikipedia.org/wiki/Eta%20invariant | In mathematics, the eta invariant of a self-adjoint elliptic differential operator on a compact manifold is formally the number of positive eigenvalues minus the number of negative eigenvalues. In practice both numbers are often infinite so are defined using zeta function regularization. It was introduced by who used ... |
https://en.wikipedia.org/wiki/List%20of%20Philippine%20Basketball%20Association%20career%20games%20played%20leaders | This is a list of Philippine Basketball Association players by total career games played.
Statistics accurate as of December 22, 2022.
See also
List of Philippine Basketball Association players
References
External links
Philippine Basketball Association All-time Leaders in Most Games Played – PBA Online.net
Games ... |
https://en.wikipedia.org/wiki/Hartshorne%20ellipse | In mathematics, a Hartshorne ellipse is an ellipse in the unit ball bounded by the 4-sphere S4 such that the ellipse and the circle given by intersection of its plane with S4 satisfy the Poncelet condition that there is a triangle with vertices on the circle and edges tangent to the ellipse. They were introduced by , w... |
https://en.wikipedia.org/wiki/List%20of%20Philippine%20Basketball%20Association%20career%20free%20throw%20scoring%20leaders | This is a list of Philippine Basketball Association players by total career free throws made.
Statistics accurate as of December 22, 2022.
See also
List of Philippine Basketball Association players
References
External links
Philippine Basketball Association All-time Leaders in Most Free Throws Made – PBA Online.net... |
https://en.wikipedia.org/wiki/Lebrun%20manifold | In mathematics, a LeBrun manifold is a connected sum of copies of the complex projective plane, equipped with an explicit self-dual metric. Here, self-dual means that the Weyl tensor is its own Hodge star. The metric
is determined by the choice of a finite collection of points in hyperbolic 3-space. These metrics were... |
https://en.wikipedia.org/wiki/Reversed%20compound%20agent%20theorem | In probability theory, the reversed compound agent theorem (RCAT) is a set of sufficient conditions for a stochastic process expressed in any formalism to have a product form stationary distribution (assuming that the process is stationary). The theorem shows that product form solutions in Jackson's theorem, the BCMP t... |
https://en.wikipedia.org/wiki/Severi%20variety | In algebraic geometry, a Severi variety, named after Francesco Severi, may be:
a Brauer–Severi variety
A Severi variety, a variety contained in a Hilbert scheme that parametrizes curves in projective space with given degree, arithmetic genus, and number of nodes and no other singularities.
a Scorza variety of dime... |
https://en.wikipedia.org/wiki/Scorza%20variety | In mathematics, a k-Scorza variety is a smooth projective variety, of maximal dimension among those whose k–1 secant varieties are not the whole of projective space. Scorza varieties were introduced and classified by , who named them after Gaetano Scorza. The special case of 2-Scorza varieties are sometimes called Seve... |
https://en.wikipedia.org/wiki/Gaetano%20Scorza | Bernardino Gaetano Scorza (29 September 1876, in Morano Calabro – 6 August 1939, in Rome) was an Italian mathematician working in algebraic geometry, whose work inspired the theory of Scorza varieties.
Publications
References
Italian mathematicians
People from the Province of Cosenza
1876 births
1939 deaths |
https://en.wikipedia.org/wiki/Novikov%E2%80%93Shubin%20invariant | In mathematics, a Novikov–Shubin invariant, introduced by , is an invariant of a compact Riemannian manifold related to the spectrum of the Laplace operator acting on square-integrable differential forms on its universal cover.
The Novikov–Shubin invariant gives a measure of the density of eigenvalues around zero. It ... |
https://en.wikipedia.org/wiki/Paul%20Baum%20%28mathematician%29 | Paul Frank Baum (born 1936) is an American mathematician, the Evan Pugh Professor of Mathematics at Pennsylvania State University. He is known for formulating the Baum–Connes conjecture with Alain Connes in the early 1980s.
Baum studied at Harvard University, earning a bachelor's degree summa cum laude in 1958. He wen... |
https://en.wikipedia.org/wiki/List%20of%20converts%20to%20Christianity%20from%20Judaism | This is a list of notable converts to Christianity from Judaism.
The Jewish Encyclopedia gives some statistics on conversion of Jews to Protestantism, to Roman Catholicism, and to Orthodox Christianity Some 2,000 European Jews converted to Christianity every year during the 19th century, but in the 1890s the number wa... |
https://en.wikipedia.org/wiki/John%20Greenlees%20Semple | John Greenlees Semple (10 June 1904 in Belfast, Ireland – 23 October 1985 in London, England) was a British mathematician working in algebraic geometry.
Publications
Algebraic Projective Geometry. By J. G. Semple and G. T. Kneebone. Pp. viii, 404. 35s. 1952. (Oxford University Press).
References
20th-century Britis... |
https://en.wikipedia.org/wiki/Budan%27s%20theorem | In mathematics, Budan's theorem is a theorem for bounding the number of real roots of a polynomial in an interval, and computing the parity of this number. It was published in 1807 by François Budan de Boislaurent.
A similar theorem was published independently by Joseph Fourier in 1820. Each of these theorems is a cor... |
https://en.wikipedia.org/wiki/Fyodor%20Zak | Fyodor L. Zak ( (born December 2, 1949, in Moscow) is a Russian mathematician working on mathematical economics and algebraic geometry who classified the Scorza varieties.
Publications
References
Further reading
Mathematicians from Moscow
1949 births
Living people |
https://en.wikipedia.org/wiki/Zeuthen%E2%80%93Segre%20invariant | In algebraic geometry, the Zeuthen–Segre invariant I is an invariant of a projective surface found in a complex projective space which was introduced by and rediscovered by .
The invariant I is defined to be d – 4g – b if the surface has a pencil of curves, non-singular of genus g except for d curves with 1 ordinary ... |
https://en.wikipedia.org/wiki/List%20of%20census%20divisions%20of%20Quebec | Statistics Canada divides Quebec into 98 census divisions largely coextensive with the regional county municipalities of the province (of Quebec's 87 regional county municipalities, 82 have coextensive borders with Statistics Canada census divisions).
Quebec's census divisions consist of numerous census subdivisions. ... |
https://en.wikipedia.org/wiki/Non-Archimedean%20geometry | In mathematics, non-Archimedean geometry is any of a number of forms of geometry in which the axiom of Archimedes is negated. An example of such a geometry is the Dehn plane. Non-Archimedean geometries may, as the example indicates, have properties significantly different from Euclidean geometry.
There are two senses ... |
https://en.wikipedia.org/wiki/Moment%20closure | In probability theory, moment closure is an approximation method used to estimate moments of a stochastic process.
Introduction
Typically, differential equations describing the i-th moment will depend on the (i + 1)-st moment. To use moment closure, a level is chosen past which all cumulants are set to zero. This leav... |
https://en.wikipedia.org/wiki/Peter%20M.%20Gruber | Peter Manfred Gruber (28 August 1941, Klagenfurt – 7 March 2017, Vienna) was an Austrian mathematician working in geometric number theory as well as in convex and discrete geometry.
Biography
Gruber obtained his PhD at the University of Vienna in 1966, under the supervision of Nikolaus Hofreiter. From 1971, he was Pr... |
https://en.wikipedia.org/wiki/Monsky%27s%20theorem | In geometry, Monsky's theorem states that it is not possible to dissect a square into an odd number of triangles of equal area. In other words, a square does not have an odd equidissection.
The problem was posed by Fred Richman in the American Mathematical Monthly in 1965, and was proved by Paul Monsky in 1970.
Proo... |
https://en.wikipedia.org/wiki/Narasimhan%E2%80%93Seshadri%20theorem | In mathematics, the Narasimhan–Seshadri theorem, proved by , says that a holomorphic vector bundle over a Riemann surface is stable if and only if it comes from an irreducible projective unitary representation of the fundamental group.
The main case to understand is that of topologically trivial bundles, i.e. those of... |
https://en.wikipedia.org/wiki/Shimizu%20L-function | In mathematics, the Shimizu L-function, introduced by , is a Dirichlet series associated to a totally real algebraic number field.
defined the signature defect of the boundary of a manifold as the eta invariant, the value as s=0 of their eta function, and used this to show that Hirzebruch's signature defect of a cusp ... |
https://en.wikipedia.org/wiki/Metasymplectic%20space | In mathematics, a metasymplectic space, introduced by and , is a Tits building of type F4 (a specific generalized incidence structure).
The four types of vertices are called points, lines, planes, and symplecta.
References
Incidence geometry |
https://en.wikipedia.org/wiki/Brieskorn%E2%80%93Grothendieck%20resolution | In mathematics, a Brieskorn–Grothendieck resolution is a resolution conjectured by Alexander Grothendieck, that in particular gives a resolution of the universal deformation of a Kleinian singularity. announced the construction of this resolution, and published the details of Brieskorn's construction.
References
S... |
https://en.wikipedia.org/wiki/Peter%20Slodowy | Peter Slodowy (12 October 1948, in Leverkusen – 19 November 2002, in Bonn) was a German mathematician who worked on singularity theory and algebraic geometry.
He completed his Ph.D. thesis at the University of Regensburg in 1978 under the direction of Theodor Bröcker and Egbert Brieskorn. The Slodowy correspondence is... |
https://en.wikipedia.org/wiki/Warsaw%20School | Warsaw School may refer to:
Universities
Warsaw School of Economics
Warsaw School of Social Sciences and Humanities
Schools of thought
Warsaw School (mathematics)
Warsaw School (history of ideas)
See also
Lwów-Warsaw School (disambiguation) |
https://en.wikipedia.org/wiki/Iulie%20Aslaksen | Iulie Margrethe Nicolaysen Aslaksen (born 1956) is a Norwegian economist and Senior Researcher at Statistics Norway. She was a member of the Petroleum Price Board from 1990 to 2000. She is an expert on energy and environmental economics, including petroleum economics, climate policy and economics and sustainable develo... |
https://en.wikipedia.org/wiki/Quillen%20determinant%20line%20bundle | In mathematics, the Quillen determinant line bundle is a line bundle over the space of Cauchy–Riemann operators of a vector bundle over a Riemann surface, introduced by . Quillen proved the existence of the Quillen metric on the determinant line bundle, a Hermitian metric defined using the analytic torsion of a family ... |
https://en.wikipedia.org/wiki/Weil%20algebra | The term "Weil algebra" is also sometimes used to mean a finite-dimensional real local Artinian ring.
In mathematics, the Weil algebra of a Lie algebra g, introduced by based on unpublished work of André Weil, is a differential graded algebra given by the Koszul algebra Λ(g*)⊗S(g*) of its dual g*.
References
Re... |
https://en.wikipedia.org/wiki/Chordal%20variety | In algebraic geometry, a chordal variety of a variety is the union of all the chords (lines meeting 2 points), including the limiting cases of tangent lines.
References
Algebraic geometry |
https://en.wikipedia.org/wiki/Multivariate%20Pareto%20distribution | In statistics, a multivariate Pareto distribution is a multivariate extension of a univariate Pareto distribution.
There are several different types of univariate Pareto distributions including Pareto Types I−IV and Feller−Pareto. Multivariate Pareto distributions have been defined for many of these types.
Bivariate ... |
https://en.wikipedia.org/wiki/Equivariant%20index%20theorem | In differential geometry, the equivariant index theorem, of which there are several variants, computes the (graded) trace of an element of a compact Lie group acting in given setting in terms of the integral over the fixed points of the element. If the element is neutral, then the theorem reduces to the usual index the... |
https://en.wikipedia.org/wiki/Secondary%20cohomology%20operation | In mathematics, a secondary cohomology operation is a functorial correspondence between cohomology groups. More precisely, it is a natural transformation from the kernel of some primary cohomology operation to the cokernel of another primary operation. They were introduced by in his solution to the Hopf invariant prob... |
https://en.wikipedia.org/wiki/Peterson%E2%80%93Stein%20formula | In mathematics, the Peterson–Stein formula, introduced by , describes the Spanier–Whitehead dual of a secondary cohomology operation.
References
Theorems in algebraic topology |
https://en.wikipedia.org/wiki/Berry%E2%80%93Robbins%20problem | In mathematics, the Berry–Robbins problem asks whether there is a continuous map from configurations of n points in R3 to the flag manifold U(n)/Tn that is compatible with the action of the symmetric group on n points. It was posed by and solved positively by .
See also
Atiyah conjecture on configurations
References... |
https://en.wikipedia.org/wiki/Mathai%E2%80%93Quillen%20formalism | In mathematics, the Mathai–Quillen formalism is an approach to topological quantum field theory introduced by , based on the Mathai–Quillen form constructed in . In more detail, using the superconnection formalism of Quillen, they obtained a refinement of the Riemann–Roch formula, which links together the Thom classes... |
https://en.wikipedia.org/wiki/N%C3%A9ron%E2%80%93Ogg%E2%80%93Shafarevich%20criterion | In mathematics, the Néron–Ogg–Shafarevich criterion states that if A is an elliptic curve or abelian variety over a local field K and ℓ is a prime not dividing the characteristic of the residue field of K then A has good reduction if and only if the ℓ-adic Tate module Tℓ of A is unramified. introduced the criterion ... |
https://en.wikipedia.org/wiki/Bipolar%20theorem | In mathematics, the bipolar theorem is a theorem in functional analysis that characterizes the bipolar (that is, the polar of the polar) of a set.
In convex analysis, the bipolar theorem refers to a necessary and sufficient conditions for a cone to be equal to its bipolar. The bipolar theorem can be seen as a special... |
https://en.wikipedia.org/wiki/Grammatical%20Man | Grammatical Man: Information, Entropy, Language, and Life is a 1982 book written by Jeremy Campbell, then Washington correspondent for the Evening Standard. The book examines the topics of probability, information theory, cybernetics, genetics, and linguistics.
Information processes are used to frame and examine all o... |
https://en.wikipedia.org/wiki/Marot%20ring | In mathematics, a Marot ring, introduced by , is a commutative ring whose regular ideals are generated by regular elements.
References
Ring theory |
https://en.wikipedia.org/wiki/Kronheimer%E2%80%93Mrowka%20basic%20class | In mathematics, the Kronheimer–Mrowka basic classes are elements of the second cohomology H2(X) of a simple smooth 4-manifold X that determine its Donaldson polynomials. They were introduced by .
References
Differential geometry |
https://en.wikipedia.org/wiki/Atiyah%20conjecture%20on%20configurations | In mathematics, the Atiyah conjecture on configurations is a conjecture introduced by stating that a certain n by n matrix depending on n points in R3 is always non-singular.
See also
Berry–Robbins problem
References
Conjectures
Unsolved problems in geometry |
https://en.wikipedia.org/wiki/Gibbons%E2%80%93Hawking%20ansatz | In mathematics, the Gibbons–Hawking ansatz is a method of constructing gravitational instantons introduced by . It gives examples of hyperkähler manifolds in dimension 4 that are invariant under a circle action.
See also
Gibbons–Hawking space
References
1978 introductions
Differential geometry
General relati... |
https://en.wikipedia.org/wiki/Normal-Wishart%20distribution | In probability theory and statistics, the normal-Wishart distribution (or Gaussian-Wishart distribution) is a multivariate four-parameter family of continuous probability distributions. It is the conjugate prior of a multivariate normal distribution with unknown mean and precision matrix (the inverse of the covariance ... |
https://en.wikipedia.org/wiki/Patharpratima%20Mahavidyalaya | Patharpratima Mahavidyalaya, established in 2001, is an undergraduate college in Patharpratima, West Bengal, India. It is affiliated with the University of Calcutta.
Departments
Science
Mathematics
Arts and Commerce
Bengali
English
History
Geography
Political Science
Philosophy
Economics
Education
Commerce
See als... |
https://en.wikipedia.org/wiki/Football%20records%20and%20statistics%20in%20France | This page details football records and statistics in France.
National team
League
.
Titles
Most top-flight League titles: 11, Paris Saint-Germain
Most consecutive League titles: 7, Lyon
Top-flight appearances
Most appearances: 68 seasons, Marseille
Most consecutive seasons in top-flight: 49 seasons, Paris Saint-G... |
https://en.wikipedia.org/wiki/Grothendieck%E2%80%93Ogg%E2%80%93Shafarevich%20formula | In mathematics, the Grothendieck–Ogg–Shafarevich formula describes the Euler characteristic of a complete curve with coefficients in an abelian variety or constructible sheaf, in terms of local data involving the Swan conductor. and proved the formula for abelian varieties with tame ramification over curves, and ex... |
https://en.wikipedia.org/wiki/Normal-inverse-Wishart%20distribution | In probability theory and statistics, the normal-inverse-Wishart distribution (or Gaussian-inverse-Wishart distribution) is a multivariate four-parameter family of continuous probability distributions. It is the conjugate prior of a multivariate normal distribution with unknown mean and covariance matrix (the inverse o... |
https://en.wikipedia.org/wiki/Guangdong%20Evergrande%20volleyball%20team%20statistics | This is Statistics of China women's volleyball club Guangdong Evergrande
Team Roster
Team member 2009-2010
Head coach: Lang Ping
Team member 2010-2011
Head coach: Lang Ping
Team member 2011-2012
Head coach: Lang Ping
Best Scorer History
External links
2009-2010 season
2010-2011 season
2011-2012 season
Volleyb... |
https://en.wikipedia.org/wiki/Robert%20J.%20Harrison | Robert J. Harrison (born June 19, 1960) is a distinguished expert in high-performance computing. He is a professor in the Applied Mathematics and Statistics department and founding Director of the Institute for Advanced Computational Science at Stony Brook University with a $20M endowment. Through a joint appointment ... |
https://en.wikipedia.org/wiki/Shimura%27s%20reciprocity%20law | In mathematics, Shimura's reciprocity law, introduced by , describes the action of ideles of imaginary quadratic fields on the values of modular functions at singular moduli. It forms a part of the Kronecker Jugendtraum, explicit class field theory for such fields. There are also higher-dimensional generalizations.
... |
https://en.wikipedia.org/wiki/Cartier%20duality | In mathematics,
Cartier duality is an analogue of Pontryagin duality for commutative group schemes. It was introduced by .
Definition using characters
Given any finite flat commutative group scheme G over S, its Cartier dual is the group of characters, defined as the functor that takes any S-scheme T to the abelian g... |
https://en.wikipedia.org/wiki/Waldspurger%27s%20theorem | In mathematics, Waldspurger's theorem, introduced by , is a result that identifies Fourier coefficients of modular forms of half-integral weight k+1/2 with the value of an L-series at s=k/2.
References
Modular forms
Zeta and L-functions
Theorems in number theory |
https://en.wikipedia.org/wiki/Brumer%20bound | In mathematics, the Brumer bound is a bound for the rank of an elliptic curve, proved by .
See also
Mestre bound
References
Elliptic curves
Theorems in number theory |
https://en.wikipedia.org/wiki/Eichler%20order | In mathematics, an Eichler order, named after Martin Eichler, is an order of a quaternion algebra that is the intersection of two maximal orders.
References
Number theory |
https://en.wikipedia.org/wiki/Isoparametric%20function | In differential geometry, an isoparametric function is a function on a Riemannian manifold whose level surfaces are parallel and of constant mean curvatures. They were introduced by .
See also
Isoparametric manifold
References
Riemannian geometry |
https://en.wikipedia.org/wiki/Mathesis%20%28journal%29 | Mathesis: Recueil Mathématique was a Belgian scientific journal for elementary mathematics, established in 1881 by Paul Mansion and Joseph Jean Baptiste Neuberg.
An earlier Belgian mathematics journal, Nouvelle Correspondance Mathématique, was established in 1874 by Mansion and Neuberg together with Eugène Catalan. In... |
https://en.wikipedia.org/wiki/Mojette%20Transform | The Mojette Transform is an application of discrete geometry. More specifically, it is a discrete and exact version of the Radon transform, thus a projection operator.
The IRCCyN laboratory - UMR CNRS 6597 in Nantes, France has been developing it since 1994.
The first characteristic of the Mojette Transform is using ... |
https://en.wikipedia.org/wiki/Padre%20Burgos%20Avenue | {
"type": "FeatureCollection",
"features": [
{
"type": "Feature",
"properties": {},
"geometry": {
"type": "LineString",
"coordinates": [
[
120.97549617290498,
14.582938659447924
],
[
120.97549617290498,
... |
https://en.wikipedia.org/wiki/Monopole%20moduli%20space | In mathematics, the monopole moduli space is a space parametrizing monopoles (solutions of the Bogomolny equations). studied the moduli space for 2 monopoles in detail and used it to describe the scattering of monopoles.
See also
Hitchin system
References
Differential geometry |
https://en.wikipedia.org/wiki/Football%20records%20and%20statistics%20in%20Germany | For association football in Germany, this page details football records in Germany.
National team
Appearances
Most appearances: 150, Lothar Matthäus
Youngest player: Willy Baumgärtner, 17 years, 104 days, 5 April 1908, 3–5 v Switzerland
Oldest player: Lothar Matthäus, 39 years, 91 days, 20 June 2000, 0–3 v Portuga... |
https://en.wikipedia.org/wiki/Signature%20cocycle | In mathematics, the Meyer signature cocycle, introduced by . is an integer-valued 2-cocyle on a symplectic group that describes the signature of a fiber bundle whose base and fiber are both Riemann surfaces.
References
Manifolds |
https://en.wikipedia.org/wiki/K%C3%A4hler%20quotient | In mathematics, specifically in complex geometry, the Kähler quotient of a Kähler manifold by a Lie group acting on by preserving the Kähler structure and with moment map (with respect to the Kähler form) is the quotient
If acts freely and properly, then is a new Kähler manifold whose Kähler form is given by the... |
https://en.wikipedia.org/wiki/Hyperk%C3%A4hler%20quotient | In mathematics, the hyperkähler quotient of a hyperkähler manifold acted on by a Lie group G is the quotient of a fiber of a hyperkähler moment map over a G-fixed point by the action of G. It was introduced by Nigel Hitchin, Anders Karlhede, Ulf Lindström, and Martin Roček in 1987. It is a hyperkähler analogue of the ... |
https://en.wikipedia.org/wiki/Transportation%20theory | Transportation theory may refer to:
Transportation theory (mathematics)
Transportation theory (psychology) |
https://en.wikipedia.org/wiki/Torsion%20conjecture | In algebraic geometry and number theory, the torsion conjecture or uniform boundedness conjecture for torsion points for abelian varieties states that the order of the torsion group of an abelian variety over a number field can be bounded in terms of the dimension of the variety and the number field. A stronger version... |
https://en.wikipedia.org/wiki/Eichler%E2%80%93Shimura%20isomorphism | In mathematics, Eichler cohomology (also called parabolic cohomology or cuspidal cohomology) is a cohomology theory for Fuchsian groups, introduced by , that is a variation of group cohomology analogous to the image of the cohomology with compact support in the ordinary cohomology group. The Eichler–Shimura isomorphism... |
https://en.wikipedia.org/wiki/Hypocontinuous%20bilinear%20map | In mathematics, a hypocontinuous is a condition on bilinear maps of topological vector spaces that is weaker than continuity but stronger than separate continuity. Many important bilinear maps that are not continuous are, in fact, hypocontinuous.
Definition
If , and are topological vector spaces then a bilinear map... |
https://en.wikipedia.org/wiki/Bogomolny%20equations | In mathematics, and especially gauge theory, the Bogomolny equation for magnetic monopoles is the equation
where is the curvature of a connection on a principal -bundle over a 3-manifold , is a section of the corresponding adjoint bundle, is the exterior covariant derivative induced by on the adjoint bundle, and ... |
https://en.wikipedia.org/wiki/Kervaire%20semi-characteristic | In mathematics, the Kervaire semi-characteristic, introduced by , is an invariant of closed manifolds M of dimension taking values in , given by
.
showed that the Kervaire semi-characteristic of a differentiable manifold is given by the index of a skew-adjoint elliptic operator.
Assuming M is oriented, the Atiyah... |
https://en.wikipedia.org/wiki/List%20of%20Paris%20Saint-Germain%20F.C.%20records%20and%20statistics | Paris Saint-Germain Football Club holds many records, most notably being the most successful French club in history in terms of official titles won, with 48. They are the record holders of all national competitions, having clinched eleven Ligue 1 championships, fourteen Coupe de France, nine Coupe de la Ligue, and elev... |
https://en.wikipedia.org/wiki/Probabilistic%20neural%20network | A probabilistic neural network (PNN) is a feedforward neural network, which is widely used in classification and pattern recognition problems. In the PNN algorithm, the parent probability distribution function (PDF) of each class is approximated by a Parzen window and a non-parametric function. Then, using PDF of eac... |
https://en.wikipedia.org/wiki/Friedrich%20Schur | Friedrich Heinrich Schur (27 January 1856, Maciejewo, Krotoschin, Province of Posen – 18 March 1932, Breslau) was a German mathematician who studied geometry.
Life and work
Schur's family was originally Jewish, but converted to Protestantism. His father owned an estate. He attended high school in Krotoschin and in 18... |
https://en.wikipedia.org/wiki/Signature%20defect | In mathematics, the signature defect of a singularity measures the correction that a singularity contributes to the signature theorem.
introduced the signature defect for the cusp singularities of Hilbert modular surfaces.
defined the signature defect of the boundary of a manifold as the eta invariant, the value as s... |
https://en.wikipedia.org/wiki/Normal%20degree | In algebraic geometry, the normal degree of a rational curve C on a surface is defined to be –K.C–2 where K is the canonical divisor of the surface.
References
Algebraic curves |
https://en.wikipedia.org/wiki/Projective%20bundle | In mathematics, a projective bundle is a fiber bundle whose fibers are projective spaces.
By definition, a scheme X over a Noetherian scheme S is a Pn-bundle if it is locally a projective n-space; i.e., and transition automorphisms are linear. Over a regular scheme S such as a smooth variety, every projective bundle ... |
https://en.wikipedia.org/wiki/Al-Judeida%20%28Jenin%29 | Al-Judeida () is a Palestinian village in the Jenin Governorate in the western area of the West Bank, located south of Jenin. According to the Palestinian Central Bureau of Statistics, the town had a population of 4,738 in the 2007 census and 5,950 by 2017.
History
Al-Judeida is an ancient village, where Byzantine ... |
https://en.wikipedia.org/wiki/Deuring%E2%80%93Heilbronn%20phenomenon | In mathematics, the Deuring–Heilbronn phenomenon, discovered by and , states that a counterexample to the generalized Riemann hypothesis for one Dirichlet L-function affects the location of the zeros of other Dirichlet L-functions.
See also
Siegel zero
References
Analytic number theory |
https://en.wikipedia.org/wiki/Sphinx%20tiling | In geometry, the sphinx tiling is a tessellation of the plane using the "sphinx", a pentagonal hexiamond formed by gluing six equilateral triangles together. The resultant shape is named for its reminiscence to the Great Sphinx at Giza. A sphinx can be dissected into any square number of copies of itself, some of them ... |
https://en.wikipedia.org/wiki/Serre%E2%80%93Tate%20theorem | In algebraic geometry, the Serre–Tate theorem says that an abelian scheme and its p-divisible group have the same infinitesimal deformation theory. This was first proved by Jean-Pierre Serre when the reduction of the abelian variety is ordinary, using the Greenberg functor; then John Tate gave a proof in the general ca... |
https://en.wikipedia.org/wiki/Tate%20curve | In mathematics, the Tate curve is a curve defined over the ring of formal power series with integer coefficients. Over the open subscheme where q is invertible, the Tate curve is an elliptic curve. The Tate curve can also be defined for q as an element of a complete field of norm less than 1, in which case the formal ... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.