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theory of matrices

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  • Matrices aléatoires — Matrice aléatoire Une matrice aléatoire est une matrice dont les éléments sont des variables aléatoires. Face à la complexité croissante des spectres nucléaires observés expérimentalement dans les années 1950, Wigner a suggeré de remplacer l… …   Wikipédia en Français

  • Matrices de Dirac — Matrice de Dirac Les matrices de Dirac sont des matrices qui furent introduites par Paul Dirac, lors de la recherche d une équation d onde relativiste de l électron. Sommaire 1 Intérêt 2 Matrices de Dirac 3 Le slash de Feynman …   Wikipédia en Français

  • Theory of equations — In mathematics, the theory of equations comprises a major part of traditional algebra. Topics include polynomials, algebraic equations, separation of roots including Sturm s theorem, approximation of roots, and the application of matrices and… …   Wikipedia

  • Gamma matrices — In mathematical physics, the gamma matrices, {γ0,γ1,γ2,γ3}, also known as the Dirac matrices, are a set of conventional matrices with specific anticommutation relations that ensure they generate a matrix representation of the Clifford algebra… …   Wikipedia

  • Commuting matrices — In linear algebra, a set of matrices is said to commute if they commute pairwise, meaning AiAj = AjAi for every pair i, j (equivalently, the commutator vanishes: [Ai,Aj]; more abstractly, if the algebra they generate is an abelian Lie… …   Wikipedia

  • Spectral theory of compact operators — In functional analysis, compact operators are linear operators that map bounded sets to precompact ones. Compact operators acting on a Hilbert space H is the closure of finite rank operators in the uniform operator topology. In general, operators …   Wikipedia

  • Matrix theory — is a branch of mathematics which focuses on the study of matrices. Initially a sub branch of linear algebra, it has grown to cover subjects related to graph theory, algebra, combinatorics, and statistics as well.HistoryThe term matrix was first… …   Wikipedia

  • Representation theory — This article is about the theory of representations of algebraic structures by linear transformations and matrices. For the more general notion of representations throughout mathematics, see representation (mathematics). Representation theory is… …   Wikipedia

  • List of matrices — This page lists some important classes of matrices used in mathematics, science and engineering: Matrices in mathematics*(0,1) matrix a matrix with all elements either 0 or 1. Also called a binary matrix . *Adjugate matrix * Alternant matrix a… …   Wikipedia

  • Representation theory of finite groups — In mathematics, representation theory is a technique for analyzing abstract groups in terms of groups of linear transformations. See the article on group representations for an introduction. This article discusses the representation theory of… …   Wikipedia

  • N-Electron Valence state Perturbation Theory — In quantum chemistry, N Electron Valence state Perturbation Theory (NEVPT) is a perturbative treatment applicable to multireference CASCI type wavefunctions. It can be considered as a generalization of the well known second order Møller Plesset… …   Wikipedia

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