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https://en.wikipedia.org/wiki/Homotopy%20category%20of%20chain%20complexes | In homological algebra in mathematics, the homotopy category K(A) of chain complexes in an additive category A is a framework for working with chain homotopies and homotopy equivalences. It lies intermediate between the category of chain complexes Kom(A) of A and the derived category D(A) of A when A is abelian; unlik... |
https://en.wikipedia.org/wiki/2007%20Cricket%20World%20Cup%20statistics | The following is a list of all the major statistics and records for the 2007 Cricket World Cup held in the West Indies from 13 March to 28 April 2007. Though India were eliminated early, they set the ODI record for the highest victory margin in their 257 run win over Bermuda. In their match against Netherlands, Hersche... |
https://en.wikipedia.org/wiki/G-network | In queueing theory, a discipline within the mathematical theory of probability, a G-network (generalized queueing network, often called a Gelenbe network) is an open network of G-queues first introduced by Erol Gelenbe as a model for queueing systems with specific control functions, such as traffic re-routing or traff... |
https://en.wikipedia.org/wiki/Maximal%20ergodic%20theorem | The maximal ergodic theorem is a theorem in ergodic theory, a discipline within mathematics.
Suppose that is a probability space, that is a (possibly noninvertible) measure-preserving transformation, and that . Define by
Then the maximal ergodic theorem states that
for any λ ∈ R.
This theorem is used to prove th... |
https://en.wikipedia.org/wiki/Median%20absolute%20deviation | (MAD) is an acronym for both median absolute deviation and mean absolute deviation; there is no universal agreement on which is correct. It is used here to connote the former.
In statistics, the median absolute deviation (MAD) is a robust measure of the variability of a univariate sample of quantitative data. It can... |
https://en.wikipedia.org/wiki/Oleg%20Lupanov | Oleg Borisovich Lupanov (; 2 June 1932 – 3 May 2006) was a Soviet and Russian mathematician, dean of the Moscow State University's Faculty of Mechanics and Mathematics (1980–2006), head of the Chair of Discrete Mathematics of the Faculty of Mechanics and Mathematics (1981–2006).
Together with his graduate school advis... |
https://en.wikipedia.org/wiki/Curve%20radius | Radius of curvature, the reciprocal of the curvature in differential geometry
Minimum railway curve radius, the shortest allowable design radius for the centerline of railway tracks |
https://en.wikipedia.org/wiki/Data%20transformation%20%28statistics%29 | In statistics, data transformation is the application of a deterministic mathematical function to each point in a data set—that is, each data point zi is replaced with the transformed value yi = f(zi), where f is a function. Transforms are usually applied so that the data appear to more closely meet the assumptions of ... |
https://en.wikipedia.org/wiki/Category%20of%20manifolds | In mathematics, the category of manifolds, often denoted Manp, is the category whose objects are manifolds of smoothness class Cp and whose morphisms are p-times continuously differentiable maps. This is a category because the composition of two Cp maps is again continuous and of class Cp.
One is often interested only... |
https://en.wikipedia.org/wiki/R%C3%B4ni | Roniéliton Pereira Santos or simply Rôni (born 28 April 1977) is a Brazilian former footballer who played as a striker.
Career statistics
Club
International
International goals
Scores and results list Brazil's goal tally first.
Honours
Club
Vila Nova
Goiás State League: 1995
Brazilian League (3rd division): 1996
... |
https://en.wikipedia.org/wiki/Constant-Q%20transform | In mathematics and signal processing, the constant-Q transform and variable-Q transform, simply known as CQT and VQT, transforms a data series to the frequency domain. It is related to the Fourier transform and very closely related to the complex Morlet wavelet transform. Its design is suited for musical representation... |
https://en.wikipedia.org/wiki/Dual%20cone%20and%20polar%20cone | Dual cone and polar cone are closely related concepts in convex analysis, a branch of mathematics.
Dual cone
In a vector space
The dual cone C of a subset C in a linear space X over the reals, e.g. Euclidean space Rn, with dual space X is the set
where is the duality pairing between X and X, i.e. .
C is always a... |
https://en.wikipedia.org/wiki/RobotFest | Also called the "Day of Playful Invention", Robot fest "is an annual event for anyone interested in the creative use of technology" to promote science, technology, engineering and mathematics (STEM). It takes place at the National Electronics Museum in Linthicum, Maryland and entry is donation based.
This year's Robo... |
https://en.wikipedia.org/wiki/Minimal%20prime%20%28recreational%20mathematics%29 | In recreational number theory, a minimal prime is a prime number for which there is no shorter subsequence of its digits in a given base that form a prime. In base 10 there are exactly 26 minimal primes:
2, 3, 5, 7, 11, 19, 41, 61, 89, 409, 449, 499, 881, 991, 6469, 6949, 9001, 9049, 9649, 9949, 60649, 666649, 946669, ... |
https://en.wikipedia.org/wiki/Categorical%20distribution | In probability theory and statistics, a categorical distribution (also called a generalized Bernoulli distribution, multinoulli distribution) is a discrete probability distribution that describes the possible results of a random variable that can take on one of K possible categories, with the probability of each catego... |
https://en.wikipedia.org/wiki/1/2%20%2B%201/4%20%2B%201/8%20%2B%201/16%20%2B%20%E2%8B%AF | In mathematics, the infinite series is an elementary example of a geometric series that converges absolutely. The sum of the series is 1.
In summation notation, this may be expressed as
The series is related to philosophical questions considered in antiquity, particularly to Zeno's paradoxes.
Proof
As with any in... |
https://en.wikipedia.org/wiki/1/4%20%2B%201/16%20%2B%201/64%20%2B%201/256%20%2B%20%E2%8B%AF | In mathematics, the infinite series is an example of one of the first infinite series to be summed in the history of mathematics; it was used by Archimedes circa 250–200 BC. As it is a geometric series with first term and common ratio , its sum is
Visual demonstrations
The series lends itself to some particularly... |
https://en.wikipedia.org/wiki/Eventually%20%28mathematics%29 | In the mathematical areas of number theory and analysis, an infinite sequence or a function is said to eventually have a certain property, if it doesn't have the said property across all its ordered instances, but will after some instances have passed. The use of the term "eventually" can be often rephrased as "for suf... |
https://en.wikipedia.org/wiki/5-cubic%20honeycomb | In geometry, the 5-cubic honeycomb or penteractic honeycomb is the only regular space-filling tessellation (or honeycomb) in Euclidean 5-space. Four 5-cubes meet at each cubic cell, and it is more explicitly called an order-4 penteractic honeycomb.
It is analogous to the square tiling of the plane and to the cubic hon... |
https://en.wikipedia.org/wiki/6-cube | In geometry, a 6-cube is a six-dimensional hypercube with 64 vertices, 192 edges, 240 square faces, 160 cubic cells, 60 tesseract 4-faces, and 12 5-cube 5-faces.
It has Schläfli symbol {4,34}, being composed of 3 5-cubes around each 4-face. It can be called a hexeract, a portmanteau of tesseract (the 4-cube) with he... |
https://en.wikipedia.org/wiki/6-orthoplex | In geometry, a 6-orthoplex, or 6-cross polytope, is a regular 6-polytope with 12 vertices, 60 edges, 160 triangle faces, 240 tetrahedron cells, 192 5-cell 4-faces, and 64 5-faces.
It has two constructed forms, the first being regular with Schläfli symbol {34,4}, and the second with alternately labeled (checkerboarded)... |
https://en.wikipedia.org/wiki/List%20of%20Ipswich%20Town%20F.C.%20records%20and%20statistics | Ipswich Town Football Club are an English professional association football club based in Ipswich, Suffolk. The club was founded in 1878 and turned professional in 1936. Ipswich have played at all professional levels of English football and have participated in European football since the 1960s. The team currently p... |
https://en.wikipedia.org/wiki/Symmetry%20operation | In group theory, geometry, representation theory and molecular geometry, a symmetry operation is a geometric transformation of an object that leaves the object looking the same after it has been carried out. For example, as transformations of an object in space, rotations, reflections and inversions are all symmetry op... |
https://en.wikipedia.org/wiki/1984%20Alpine%20Skiing%20World%20Cup%20%E2%80%93%20Men%27s%20slalom | This is a list of statistics for the Men's slalom in the World Cup 1983/1984.
Calendar
Final point standings
In men's slalom World Cup 1983/84 the best 5 results count. Deduction are given in ().
External links
FIS-ski.com - World Cup standings - Slalom 1984
World Cup
FIS Alpine Ski World Cup men's slalom discipli... |
https://en.wikipedia.org/wiki/Order%20of%20integration | In statistics, the order of integration, denoted I(d), of a time series is a summary statistic, which reports the minimum number of differences required to obtain a covariance-stationary series.
Integration of order d
A time series is integrated of order d if
is a stationary process, where is the lag operator and ... |
https://en.wikipedia.org/wiki/Peano%20existence%20theorem | In mathematics, specifically in the study of ordinary differential equations, the Peano existence theorem, Peano theorem or Cauchy–Peano theorem, named after Giuseppe Peano and Augustin-Louis Cauchy, is a fundamental theorem which guarantees the existence of solutions to certain initial value problems.
History
Peano f... |
https://en.wikipedia.org/wiki/Nagata%20ring | In commutative algebra, an N-1 ring is an integral domain whose integral closure in its quotient field is a finitely generated -module. It is called a Japanese ring (or an N-2 ring) if for every finite extension of its quotient field , the integral closure of in is a finitely generated -module (or equivalently a fi... |
https://en.wikipedia.org/wiki/G-ring | In commutative algebra, a G-ring or Grothendieck ring is a Noetherian ring such that the map of any of its local rings to the completion is regular (defined below). Almost all Noetherian rings that occur naturally in algebraic geometry or number theory are G-rings, and it is quite hard to construct examples of Noetheri... |
https://en.wikipedia.org/wiki/Hardy%E2%80%93Littlewood%20maximal%20function | In mathematics, the Hardy–Littlewood maximal operator M is a significant non-linear operator used in real analysis and harmonic analysis.
Definition
The operator takes a locally integrable function f : Rd → C and returns another function Mf.
For any point x ∈ Rd, the function Mf returns the maximum of a set of reals,... |
https://en.wikipedia.org/wiki/Kenneth%20M%C3%B8ller%20Pedersen | Kenneth Møller Pedersen (born 18 April 1973) is a former Danish professional football midfielder.
External links
Official Danish Superliga player statistics at danskfodbold.com
1973 births
Living people
Danish men's footballers
Danish Superliga players
Ikast FC players
Odense Boldklub players
Esbjerg fB players
FC ... |
https://en.wikipedia.org/wiki/Newton%27s%20inequalities | In mathematics, the Newton inequalities are named after Isaac Newton. Suppose a1, a2, ..., an are real numbers and let denote the kth elementary symmetric polynomial in a1, a2, ..., an. Then the elementary symmetric means, given by
satisfy the inequality
If all the numbers ai are non-zero, then equality holds if a... |
https://en.wikipedia.org/wiki/Vitali%20covering%20lemma | In mathematics, the Vitali covering lemma is a combinatorial and geometric result commonly used in measure theory of Euclidean spaces. This lemma is an intermediate step, of independent interest, in the proof of the Vitali covering theorem. The covering theorem is credited to the Italian mathematician Giuseppe Vitali. ... |
https://en.wikipedia.org/wiki/Kuratowski%27s%20closure-complement%20problem | In point-set topology, Kuratowski's closure-complement problem asks for the largest number of distinct sets obtainable by repeatedly applying the set operations of closure and complement to a given starting subset of a topological space. The answer is 14. This result was first published by Kazimierz Kuratowski in 192... |
https://en.wikipedia.org/wiki/Sylvester%20equation | In mathematics, in the field of control theory, a Sylvester equation is a matrix equation of the form:
It is named after English mathematician James Joseph Sylvester. Then given matrices A, B, and C, the problem is to find the possible matrices X that obey this equation. All matrices are assumed to have coefficients ... |
https://en.wikipedia.org/wiki/Fort%20space | In mathematics, there are a few topological spaces named after M. K. Fort, Jr.
Fort space
Fort space is defined by taking an infinite set X, with a particular point p in X, and declaring open the subsets A of X such that:
A does not contain p, or
A contains all but a finite number of points of X.
Note that the sub... |
https://en.wikipedia.org/wiki/Centre%20for%20Statistics%20in%20Medicine | The Centre for Statistics in Medicine (CSM) at the University of Oxford, United Kingdom was founded by Professor Douglas G. Altman until 2018. He was succeeded by Professor Sallie Lamb until 2019, then by Professor Gary Collins. In 1995 it was based at the Institute of Health Sciences in Headington, Oxford, it relocate... |
https://en.wikipedia.org/wiki/Courant%20algebroid | In a field of mathematics known as differential geometry, a Courant geometry was originally introduced by Zhang-Ju Liu, Alan Weinstein and Ping Xu in their investigation of doubles of Lie bialgebroids in 1997. Liu, Weinstein and Xu named it after Courant, who had implicitly devised earlier in 1990 the standard prototyp... |
https://en.wikipedia.org/wiki/Chilton%20and%20Colburn%20J-factor%20analogy | Chilton–Colburn J-factor analogy (also known as the modified Reynolds analogy) is a successful and widely used analogy between heat, momentum, and mass transfer. The basic mechanisms and mathematics of heat, mass, and momentum transport are essentially the same. Among many analogies (like Reynolds analogy, Prandtl–Tayl... |
https://en.wikipedia.org/wiki/Cophenetic%20correlation | In statistics, and especially in biostatistics, cophenetic correlation (more precisely, the cophenetic correlation coefficient) is a measure of how faithfully a dendrogram preserves the pairwise distances between the original unmodeled data points. Although it has been most widely applied in the field of biostatistics ... |
https://en.wikipedia.org/wiki/Essential%20extension | In mathematics, specifically module theory, given a ring R and an R-module M with a submodule N, the module M is said to be an essential extension of N (or N is said to be an essential submodule or large submodule of M) if for every submodule H of M,
implies that
As a special case, an essential left ideal of R is a... |
https://en.wikipedia.org/wiki/Rusty%20Kruger | Rusty Kruger (born March 26, 1975) is a Canadian retired lacrosse player in the National Lacrosse League and a current assistant coach with the Buffalo Bandits.
Statistics
NLL
Reference:
References
1975 births
Buffalo Bandits players
Canadian lacrosse players
Chicago Shamrox players
Lacrosse people from Ontario
Liv... |
https://en.wikipedia.org/wiki/Trivial%20measure | In mathematics, specifically in measure theory, the trivial measure on any measurable space (X, Σ) is the measure μ which assigns zero measure to every measurable set: μ(A) = 0 for all A in Σ.
Properties of the trivial measure
Let μ denote the trivial measure on some measurable space (X, Σ).
A measure ν is the trivi... |
https://en.wikipedia.org/wiki/Mapping%20cone%20%28homological%20algebra%29 | In homological algebra, the mapping cone is a construction on a map of chain complexes inspired by the analogous construction in topology. In the theory of triangulated categories it is a kind of combined kernel and cokernel: if the chain complexes take their terms in an abelian category, so that we can talk about coh... |
https://en.wikipedia.org/wiki/Fundamental%20matrix%20%28linear%20differential%20equation%29 | In mathematics, a fundamental matrix of a system of n homogeneous linear ordinary differential equations
is a matrix-valued function whose columns are linearly independent solutions of the system.
Then every solution to the system can be written as , for some constant vector (written as a column vector of height ).
... |
https://en.wikipedia.org/wiki/Rupture%20field | In abstract algebra, a rupture field of a polynomial over a given field is a field extension of generated by a root of .
For instance, if and then is a rupture field for .
The notion is interesting mainly if is irreducible over . In that case, all rupture fields of over are isomorphic, non-canonically, to :... |
https://en.wikipedia.org/wiki/Irenaean%20theodicy | The Irenaean theodicy is a Christian theodicy (a response to the problem of evil). It defends the probability of an omnipotent and omnibenevolent (all-powerful and perfectly loving) God in the face of evidence of evil in the world. Numerous variations of theodicy have been proposed which all maintain that, while evil e... |
https://en.wikipedia.org/wiki/Tsen%27s%20theorem | In mathematics, Tsen's theorem states that a function field K of an algebraic curve over an algebraically closed field is quasi-algebraically closed (i.e., C1). This implies that the Brauer group of any such field vanishes, and more generally that all the Galois cohomology groups H i(K, K*) vanish for i ≥ 1. This resul... |
https://en.wikipedia.org/wiki/PDIFF | In geometric topology, PDIFF, for piecewise differentiable, is the category of piecewise-smooth manifolds and piecewise-smooth maps between them. It properly contains DIFF (the category of smooth manifolds and smooth functions between them) and PL (the category of piecewise linear manifolds and piecewise linear maps be... |
https://en.wikipedia.org/wiki/Olive%20Hazlett | Olive Clio Hazlett (October 27, 1890 – March 8, 1974) was an American mathematician who spent most of her career working for the University of Illinois. She mainly researched algebra, and wrote seventeen research papers on subjects such as nilpotent algebras, division algebras, modular invariants, and the arithmetic of... |
https://en.wikipedia.org/wiki/Tensor%20product%20of%20quadratic%20forms | In mathematics, the tensor product of quadratic forms is most easily understood when one views the quadratic forms as quadratic spaces. If R is a commutative ring where 2 is invertible (that is, R has characteristic ), and if and are two quadratic spaces over R, then their tensor product is the quadratic space whos... |
https://en.wikipedia.org/wiki/Lola%20J.%20May | Lola J. May (October 29, 1923 – March 13, 2007) was a mathematics educator, consultant, author, producer of audio-visual materials, an early proponent of the new math educational process, and a household name among mathematics.
Life
Her father was a salesman and her mother was a homemaker. Her father taught her mathem... |
https://en.wikipedia.org/wiki/Centre%20for%20Research%20and%20Development%20on%20Information%20Technology%20and%20Telecommunication%20%28Albania%29 | The Centre for Research and Development on Information Technology and Telecommunication (), formerly known as INIMA or Institute of Informatics and Applied Mathematics is a research institute on technology in Tirana, Albania, affiliated since 2007 with the Polytechnic University of Tirana. It was founded in 1986 on the... |
https://en.wikipedia.org/wiki/Kneser%27s%20theorem%20%28differential%20equations%29 | In mathematics, the Kneser theorem can refer to two distinct theorems in the field of ordinary differential equations:
the first one, named after Adolf Kneser, provides criteria to decide whether a differential equation is oscillating or not;
the other one, named after Hellmuth Kneser, is about the topology of the s... |
https://en.wikipedia.org/wiki/Oscillation%20theory | In mathematics, in the field of ordinary differential equations, a nontrivial solution to an ordinary differential equation
is called oscillating if it has an infinite number of roots; otherwise it is called non-oscillating. The differential equation is called oscillating if it has an oscillating solution.
The numb... |
https://en.wikipedia.org/wiki/Wallgau | Wallgau is a municipality in the district of Garmisch-Partenkirchen, in Bavaria, Germany.
Population
Growth
*Statistics according to the Bavarian government, as of 2007.
Demographics
*Statistics according to the Bavarian government, as of 2007.
Notable people
Magdalena Neuner, (born 1987), twelve-time biathl... |
https://en.wikipedia.org/wiki/Random%20regular%20graph | A random r-regular graph is a graph selected from , which denotes the probability space of all r-regular graphs on vertices, where and is even. It is therefore a particular kind of random graph, but the regularity restriction significantly alters the properties that will hold, since most graphs are not regular.
Pr... |
https://en.wikipedia.org/wiki/Ranked%20poset | In mathematics, a ranked poset is a partially ordered set in which one of the following (non-equivalent) conditions hold: it is
a graded poset, or
a poset with the property that for every element x, all maximal chains among those with x as greatest element have the same finite length, or
a poset in which all maximal... |
https://en.wikipedia.org/wiki/Pseudoreplication | Pseudoreplication (sometimes unit of analysis error) has many definitions. Pseudoreplication was originally defined in 1984 by Stuart H. Hurlbert as the use of inferential statistics to test for treatment effects with data from experiments where either treatments are not replicated (though samples may be) or
replicates... |
https://en.wikipedia.org/wiki/Spinors%20in%20three%20dimensions | In mathematics, the spinor concept as specialised to three dimensions can be treated by means of the traditional notions of dot product and cross product. This is part of the detailed algebraic discussion of the rotation group SO(3).
Formulation
The association of a spinor with a 2×2 complex Hermitian matrix was formu... |
https://en.wikipedia.org/wiki/Spin%20representation | In mathematics, the spin representations are particular projective representations of the orthogonal or special orthogonal groups in arbitrary dimension and signature (i.e., including indefinite orthogonal groups). More precisely, they are two equivalent representations of the spin groups, which are double covers of th... |
https://en.wikipedia.org/wiki/Overdetermined%20system | In mathematics, a system of equations is considered overdetermined if there are more equations than unknowns. An overdetermined system is almost always inconsistent (it has no solution) when constructed with random coefficients. However, an overdetermined system will have solutions in some cases, for example if some e... |
https://en.wikipedia.org/wiki/University%20of%20Arkansas%20Office%20of%20Distance%20Education | The Office of Distance Education (ODE) was founded in July 1998 on the campus of the Arkansas School for Mathematics, Sciences, and the Arts in Hot Springs, Arkansas and is now a part of the University of Arkansas System. Originally established in order to expand educational opportunities in Arkansas’ rural schools, th... |
https://en.wikipedia.org/wiki/Sturm%E2%80%93Picone%20comparison%20theorem | In mathematics, in the field of ordinary differential equations, the Sturm–Picone comparison theorem, named after Jacques Charles François Sturm and Mauro Picone, is a classical theorem which provides criteria for the oscillation and non-oscillation of solutions of certain linear differential equations in the real doma... |
https://en.wikipedia.org/wiki/Super%2030 | Super 30 is an Indian educational program started in Patna, India under the banner of Ramanujan School of Mathematics. It was founded by Anand Kumar, a mathematics teacher, and Abhayanand, the former D.G.P of Bihar. The program selects 30 talented candidates each year from economically underprivileged sections of India... |
https://en.wikipedia.org/wiki/Bruhat%20order | In mathematics, the Bruhat order (also called strong order or strong Bruhat order or Chevalley order or Bruhat–Chevalley order or Chevalley–Bruhat order) is a partial order on the elements of a Coxeter group, that corresponds to the inclusion order on Schubert varieties.
History
The Bruhat order on the Schubert varie... |
https://en.wikipedia.org/wiki/%C3%89tale | In mathematics, more specifically in algebra, the adjective étale refers to several closely related concepts:
Étale morphism
Formally étale morphism
Étale cohomology
Étale topology
Étale fundamental group
Étale group scheme
Étale algebra
Other
Étale (mountain) in Savoie and Haute-Savoie, France
See also
Étal... |
https://en.wikipedia.org/wiki/Crinkill | Crinkill (), sometimes spelt Crinkle, is a village in County Offaly, Ireland, close to Birr. Crinkill was designated as a census town by the Central Statistics Office for the first time in the 2016 census, at which time it had a population of 682 people.
History
The village originally grew up around a British Army mi... |
https://en.wikipedia.org/wiki/Sturm%20separation%20theorem | In mathematics, in the field of ordinary differential equations, Sturm separation theorem, named after Jacques Charles François Sturm, describes the location of roots of solutions of homogeneous second order linear differential equations. Basically the theorem states that given two linear independent solutions of such... |
https://en.wikipedia.org/wiki/Quantile%20function | In probability and statistics, the quantile function outputs the value of a random variable such that its probability is less than or equal to an input probability value. Intuitively, the quantile function associates with a range at and below a probability input the likelihood that a random variable is realized in that... |
https://en.wikipedia.org/wiki/Classical%20group | In mathematics, the classical groups are defined as the special linear groups over the reals , the complex numbers and the quaternions together with special automorphism groups of symmetric or skew-symmetric bilinear forms and Hermitian or skew-Hermitian sesquilinear forms defined on real, complex and quaternionic fi... |
https://en.wikipedia.org/wiki/Li%20Zitong | Li Zitong (died 622 CE) was an agrarian leader who claimed the title of emperor in the aftermaths of the death of Emperor Yang of Sui at the hands of the general Yuwen Huaji in 618. After Yuwen vacated the city of Jiangdu (, in modern Yangzhou, Jiangsu), the region was in a state of confusion and, in 619, Li captured ... |
https://en.wikipedia.org/wiki/Zero%20dagger | In set theory, 0† (zero dagger) is a particular subset of the natural numbers, first defined by Robert M. Solovay in unpublished work in the 1960s. (The superscript † should be a dagger, but it appears as a plus sign on some browsers.) The definition is a bit awkward, because there might be no set of natural numbers s... |
https://en.wikipedia.org/wiki/Complete%20homogeneous%20symmetric%20polynomial | In mathematics, specifically in algebraic combinatorics and commutative algebra, the complete homogeneous symmetric polynomials are a specific kind of symmetric polynomials. Every symmetric polynomial can be expressed as a polynomial expression in complete homogeneous symmetric polynomials.
Definition
The complete hom... |
https://en.wikipedia.org/wiki/Larry%20Cedar | Larry Frank Cedar (born March 6, 1955) is an American voice, film and television actor, best known as one of the players of the Children's Television Workshop mathematics show Square One TV on PBS from 1987 to 1994. He played Max, Alex the Butcher's assistant, in a series of commercials for Kroger in 1989. He is also k... |
https://en.wikipedia.org/wiki/Quadrature%20domains | In the branch of mathematics called potential theory, a quadrature domain in two dimensional real Euclidean space is a domain D (an open connected set) together with
a finite subset {z1, …, zk} of D such that, for every function u harmonic and integrable over D with respect to area measure, the integral of u with resp... |
https://en.wikipedia.org/wiki/Adequate%20pointclass | In the mathematical field of descriptive set theory, a pointclass can be called adequate if it contains all recursive pointsets and is closed under recursive substitution, bounded universal and existential quantification and preimages by recursive functions.
References
Descriptive set theory |
https://en.wikipedia.org/wiki/Engineering%20and%20Science%20Education%20Program | The Science, Technology, Engineering and Mathematics Education Program (STEM, formerly Engineering and Science Education Program or ESEP) is a science and mathematics-oriented curriculum devised for high schools in the Philippines. The STEM program is offered by specialized high schools, whether public or private, supe... |
https://en.wikipedia.org/wiki/Power%20sum%20symmetric%20polynomial | In mathematics, specifically in commutative algebra, the power sum symmetric polynomials are a type of basic building block for symmetric polynomials, in the sense that every symmetric polynomial with rational coefficients can be expressed as a sum and difference of products of power sum symmetric polynomials with rati... |
https://en.wikipedia.org/wiki/Nilpotent%20orbit | In mathematics, nilpotent orbits are generalizations of nilpotent matrices that play an important role
in representation theory of real and complex semisimple Lie groups and semisimple Lie algebras.
Definition
An element X of a semisimple Lie algebra g is called nilpotent if its adjoint endomorphism
ad X: g → g, ... |
https://en.wikipedia.org/wiki/Modular%20Lie%20algebra | In mathematics, a modular Lie algebra is a Lie algebra over a field of positive characteristic.
The theory of modular Lie algebras is significantly different from the theory of real and complex Lie algebras. This difference can be traced to the properties of Frobenius automorphism and to the failure of the exponential... |
https://en.wikipedia.org/wiki/Minimal%20prime | In mathematics, the term minimal prime may refer to
Minimal prime ideal, in commutative algebra
Minimal prime (recreational mathematics), the minimal prime number satisfying some property |
https://en.wikipedia.org/wiki/Anne%20Chu | "Anne Chu was born in 1959 in New York City. Her parents came from China, and her father was a mathematics professor at Columbia University. When she was in middle school, her family moved to Westchester County, north of the city. She graduated from the Philadelphia College of Art (now the University of the Arts) in 19... |
https://en.wikipedia.org/wiki/Gordon%E2%80%93Luecke%20theorem | In mathematics, the Gordon–Luecke theorem on knot complements states that if the complements of two tame knots are homeomorphic, then the knots are equivalent. In particular, any homeomorphism between knot complements must take a meridian to a meridian.
The theorem is usually stated as "knots are determined by their... |
https://en.wikipedia.org/wiki/List%20of%20Nottingham%20Forest%20F.C.%20records%20and%20statistics | This article contains statistics and records related to Nottingham Forest F.C..
Honours
Football League First Division: 1977–78
FA Cup: 1897–98, 1958–59
Football League Cup: 1977–78, 1978–79, 1988–89, 1989–90
Full Members Cup: 1988–89, 1991–92
FA Charity Shield: 1978
European Cup: 1978–79, 1979–80
European Sup... |
https://en.wikipedia.org/wiki/The%20Mathematics%20of%20Magic%3A%20The%20Enchanter%20Stories%20of%20L.%20Sprague%20de%20Camp%20and%20Fletcher%20Pratt | The Mathematics of Magic: The Enchanter Stories of L. Sprague de Camp and Fletcher Pratt is an omnibus collection of seven fantasy stories by American science fiction and fantasy authors L. Sprague de Camp and Fletcher Pratt, gathering material previously published in three volumes as The Incomplete Enchanter (1941), ... |
https://en.wikipedia.org/wiki/Amaral%20%28footballer%2C%20born%201983%29 | Carlos Rafael do Amaral or simply Amaral (born 28 November 1983, in Mogi Mirim), is a Brazilian defensive midfielder who last played for Passo Fundo in the Campeonato Gaúcho.
Club statistics
Honours
Brazilian Série C: 2003
Brazilian Cup: 2005
Campeonato Brasileiro Série B: 2009
References
External links
Guard... |
https://en.wikipedia.org/wiki/Crystalline%20cohomology | In mathematics, crystalline cohomology is a Weil cohomology theory for schemes X over a base field k. Its values Hn(X/W) are modules over the ring W of Witt vectors over k. It was introduced by and developed by .
Crystalline cohomology is partly inspired by the p-adic proof in of part of the Weil conjectures and i... |
https://en.wikipedia.org/wiki/Eilenberg%E2%80%93Zilber%20theorem | In mathematics, specifically in algebraic topology, the Eilenberg–Zilber theorem is an important result in establishing the link between the homology groups of a product space and those of the spaces and . The theorem first appeared in a 1953 paper in the American Journal of Mathematics by Samuel Eilenberg and Joseph... |
https://en.wikipedia.org/wiki/Eilenberg%E2%80%93Moore%20spectral%20sequence | In mathematics, in the field of algebraic topology, the Eilenberg–Moore spectral sequence addresses the calculation of the homology groups of a pullback over a fibration. The spectral sequence formulates the calculation from knowledge of the homology of the remaining spaces. Samuel Eilenberg and John C. Moore's origina... |
https://en.wikipedia.org/wiki/Municipality%20of%20the%20District%20of%20Digby | Digby, officially named the Municipality of the District of Digby, is a district municipality in Digby County, Nova Scotia, Canada. Statistics Canada classifies the district municipality as a municipal district.
The district municipality forms the eastern part of Digby County. It is one of three municipal units in the... |
https://en.wikipedia.org/wiki/Municipality%20of%20the%20District%20of%20Guysborough | Guysborough, officially named the Municipality of the District of Guysborough, is a district municipality in Guysborough County, Nova Scotia, Canada. Statistics Canada classifies the district municipality as a municipal district.
It is home to the Boylston and Salsman Provincial Parks. The parks are located between B... |
https://en.wikipedia.org/wiki/Alan%20Weiss%20%28mathematician%29 | Alan Weiss (born December 5, 1955) is an American mathematician, a pioneer in the usage of large deviations theory in performance evaluation and related areas.
Weiss received his B.Sc. in mathematics and physics from Case Western Reserve University taking courses from Lajos Takács and being advised by Arthur J. Lohw... |
https://en.wikipedia.org/wiki/Spacetime%20algebra | In mathematical physics, spacetime algebra (STA) is a name for the Clifford algebra Cl1,3(R), or equivalently the geometric algebra . According to David Hestenes, spacetime algebra can be particularly closely associated with the geometry of special relativity and relativistic spacetime.
It is a vector space that allow... |
https://en.wikipedia.org/wiki/UBIGEO | Ubigeo is the coding system for geographical locations (Spanish: Código Ubicacíon Geográfica) in Peru used by the National Statistics and Computing Institute (Spanish: Instituto Nacional de Estadística e Informática INEI) to code the first-level administrative subdivision: regions (Spanish: regiones, singular: región),... |
https://en.wikipedia.org/wiki/Alexander%20Beilinson | Alexander A. Beilinson (born 1957) is the David and Mary Winton Green University professor at the University of Chicago and works on mathematics. His research has spanned representation theory, algebraic geometry and mathematical physics. In 1999, Beilinson was awarded the Ostrowski Prize with Helmut Hofer.
In 2017... |
https://en.wikipedia.org/wiki/Robert%20K%C3%A1ntor | Robert Kántor (born February 25, 1977) is a former professional ice hockey defenceman. He last played in Austria with the Graz 99ers during the 2011–12 season.
Career statistics
External links
Bio from Kometa Brno historical website
1977 births
Czech ice hockey defencemen
Czech expatriate ice hockey players in Ru... |
https://en.wikipedia.org/wiki/Geometric%20algebra%20%28disambiguation%29 | In mathematics, a geometric algebra is a specific algebraic structure. The term is also used as a blanket term for the theory of geometric algebras.
Geometric algebra may also refer to:
Algebraic geometry
Algebraic geometry and analytic geometry
Analytic geometry
%C3%89l%C3%A9ments de g%C3%A9om%C3%A9trie alg%C3%A... |
https://en.wikipedia.org/wiki/CM-field | In mathematics, a CM-field is a particular type of number field, so named for a close connection to the theory of complex multiplication. Another name used is J-field.
The abbreviation "CM" was introduced by .
Formal definition
A number field K is a CM-field if it is a quadratic extension K/F where the base field F ... |
https://en.wikipedia.org/wiki/Unbiased%20estimation%20of%20standard%20deviation | In statistics and in particular statistical theory, unbiased estimation of a standard deviation is the calculation from a statistical sample of an estimated value of the standard deviation (a measure of statistical dispersion) of a population of values, in such a way that the expected value of the calculation equals th... |
https://en.wikipedia.org/wiki/Algebraic%20character | An algebraic character is a formal expression attached to a module in representation theory of semisimple Lie algebras that generalizes the character of a finite-dimensional representation and is analogous to the Harish-Chandra character of the representations of semisimple Lie groups.
Definition
Let be a semisimple... |
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