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conjugate elements

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  • Conjugate element (field theory) — Conjugate elements redirects here. For conjugate group elements, see Conjugacy class. In mathematics, in particular field theory, the conjugate elements of an algebraic element α, over a field K, are the (other) roots of the minimal polynomial pK …   Wikipedia

  • Conjugate closure — In group theory, the conjugate closure of a subset S of a group G is the subgroup of G generated by SG, i.e. the closure of SG under the group operation, where SG is the conjugates of the elements of S: SG = {g−1sg | g ∈ G and s ∈ S} The… …   Wikipedia

  • Conjugate diameters — Two conjugate diameters of an ellipse. Each edge of the bounding parallelogram is parallel to one of the diameters. In geometry, two diameters of a conic section are said to be conjugate if each chord parallel to one diameter is bisected by the… …   Wikipedia

  • conjugate — conjugable /kon jeuh geuh beuhl/, adj. conjugably, adv. conjugative, adj. conjugator, n. v. /kon jeuh gayt /; adj., n. /kon jeuh git, gayt /, v., conjugated, conjugating, adj., n. v.t. 1. Gram. a. to inflect (a verb) …   Universalium

  • Complex conjugate vector space — In mathematics, the (formal) complex conjugate of a complex vector space is the complex vector space consisting of all formal complex conjugates of elements of . That is, is a vector space whose elements are in one to one correspondence with the… …   Wikipedia

  • Complex conjugate — Geometric representation of z and its conjugate in the complex plane In mathematics, complex conjugates are a pair of complex numbers, both having the same real part, but with imaginary parts of equal magni …   Wikipedia

  • Convex conjugate — In mathematics, convex conjugation is a generalization of the Legendre transformation. It is also known as Legendre–Fenchel transformation or Fenchel transformation (after Adrien Marie Legendre and Werner Fenchel). Contents 1 Definition 2… …   Wikipedia

  • Preconditioned conjugate gradient method — The conjugate gradient method is a numerical algorithm that solves a system of linear equations:A x= b.,where A is symmetric [positive definite] . If the matrix A is ill conditioned, i.e. it has a large condition number kappa(A), it is often… …   Wikipedia

  • Hermite conjugate — adjoint, transposed conjugate, matrix obtained after interchanging rows and columns and replacing elements of a given matrix with their complex conjugates …   English contemporary dictionary

  • Mathieu group — Group theory Group theory …   Wikipedia

  • Coxeter element — Not to be confused with Longest element of a Coxeter group. In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible Coxeter group, hence also of a root system or its Weyl group. It is named after H.S.M.… …   Wikipedia

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