symmetric group oor Spaans
symmetric group
en
(mathematics) A group whose elements are precisely all of the bijections of some set with itself and whose operation is composition of those bijections.
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grupo simétrico
The project studied representations of symmetric groups and specific types of algebras to advance many basic mathematical challenges.
El proyecto estudió representaciones de grupos simétricos y tipos específicos de álgebras para avanzar en muchos desafíos matemáticos básicos.
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voorbeelde
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Among other things, this ring plays an important role in the representation theory of the symmetric groups.
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Animals with tissues can be divided into radially symmetrical and bilaterally symmetrical groups.
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This criterion can for example be used to show that all the symmetric groups are realizable.
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The bijections from a set to itself form a group under composition, called the symmetric group.
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They were then applied to the study of the symmetric group by Georg Frobenius in 1903.
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The project studied representations of symmetric groups and specific types of algebras to advance many basic mathematical challenges.
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Thus Sn forms a group under composition of functions called the symmetric group of degree n.
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Any finite doubly transitive permutation group containing a transposition is a full symmetric group.
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A number of symmetrical groupings can be arranged along an axis to form larger symmetrical organizations.
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They formed a tiny, very compact and astonishingly symmetrical group against the afterglow of sun-set.
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Quantum Information and the Representation Theory of the Symmetric Group
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The symmetric group S3 is cyclic.
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The symmetric group S10 has 10 elements.
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The group is isomorphic to symmetric group S4.
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It covered symmetric groups, general linear groups, orthogonal groups, and symplectic groups and results on their invariants and representations.
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It is also known to be a special case of the non-abelian hidden subgroup problem over the symmetric group.
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In more academic terms, the project team investigated the distinguished class of blocks of symmetric groups with non-abelian defect groups.
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(The group of permutations of a set of n elements, also known as the symmetric group on n letters, consists of n!
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It is named after Alfred Young, who, in a series of papers On quantitative substitutional analysis, developed representation theory of the symmetric group.
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In particular, modules of symmetric groups, a type of finite group whose elements allow only a certain number of structure-preserving transformations, are an active area of interest.
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For the hypergeometric equation n=3, so the group is of order 24 and is isomorphic to the symmetric group on 4 points, and was first described by Kummer.
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If f is an irreducible polynomial of prime degree p with rational coefficients and exactly two nonreal roots, then the Galois group of f is the full symmetric group Sp.
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The general septic equation can be solved with the alternating or symmetric Galois groups A7 or S7.
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For a projective space of dimension one (a projective line; the projectivization of a vector space of dimension two), all points are collinear, so the collineation group is exactly the symmetric group of the points of the projective line.
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Exchangeability means that while variables may not be independent, future ones behave like past ones – formally, any value of a finite sequence is as likely as any permutation of those values – the joint probability distribution is invariant under the symmetric group.
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188 sinne gevind in 31 ms. Hulle kom uit baie bronne en word nie nagegaan nie.