matrix algebra

  • 101Graßmann-Algebra — Die Graßmann Algebra oder äußere Algebra eines Vektorraums V ist eine assoziative, schiefsymmetrisch graduierte Algebra mit Einselement. Sie ist – je nach Definition – Unteralgebra oder eine Faktoralgebra einer antisymmetrisierten Tensoralgebra… …

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  • 102Cartan matrix — In mathematics, the term Cartan matrix has two meanings. Both of these are named after the French mathematician Élie Cartan. In an example of Stigler s law of eponymy, Cartan matrices in the context of Lie algebras were first investigated by… …

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  • 103Generalized Kac–Moody algebra — In mathematics, a generalized Kac–Moody algebra is a Lie algebra that is similar to a Kac–Moody algebra, except that it is allowed to have imaginary simple roots. Generalized Kac–Moody algebras are also sometimes called GKM… …

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  • 104Information algebra — Classical information theory goes back to Claude Shannon. It is a theory of information transmission, looking at communication and storage. However, it has not been considered so far that information comes from different sources and that it is… …

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  • 105Incidence algebra — In order theory, a field of mathematics, an incidence algebra is an associative algebra, defined for any locally finite partially ordered set and commutative ring with unity. Contents 1 Definition 1.1 Related concepts 2 Special elements …

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  • 106Diagonalizable matrix — In linear algebra, a square matrix A is called diagonalizable if it is similar to a diagonal matrix, i.e., if there exists an invertible matrix P such that P −1AP is a diagonal matrix. If V is a finite dimensional vector space, then a linear …

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  • 107Formelsammlung Algebra — Die Formelsammlung zur Algebra ist ein Teil der Formelsammlung, in der auch Formeln der anderen Fachbereiche zu finden sind. Inhaltsverzeichnis 1 Grundrechenarten 2 Arithmetische Notation 3 Axiome 4 Elementare Funktionen 4.1 …

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  • 108Centrosymmetric matrix — In mathematics, especially in linear algebra and matrix theory, a centrosymmetric matrix is a matrix which is symmetric about its center. More precisely, an n × n matrix A = [ Ai,j ] is centrosymmetric when its entries satisfy Ai,j = An−i+1,n−j+1 …

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  • 109History of algebra — Elementary algebra is the branch of mathematics that deals with solving for the operands of arithmetic equations. Modern or abstract algebra has its origins as an abstraction of elementary algebra. Historians know that the earliest mathematical… …

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  • 110Theorems and definitions in linear algebra — This article collects the main theorems and definitions in linear algebra. Vector spaces A vector space( or linear space) V over a number field² F consists of a set on which two operations (called addition and scalar multiplication, respectively) …

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