- cyclic vector
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циклический вектор
Англо-русский словарь технических терминов. 2005.
cyclic vector
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Cyclic code — In coding theory, cyclic codes are linear block error correcting codes that have convenient algebraic structures for efficient error detection and correction. Contents 1 Definition 2 Algebraic structure 3 Examples … Wikipedia
Cyclic module — In mathematics, more specifically in ring theory, a cyclic module is a module over a ring which is generated by one element. The term is by analogy with cyclic groups, that is groups which are generated by one element. Contents 1 Definition 2… … Wikipedia
Laplace–Runge–Lenz vector — Throughout this article, vectors and their magnitudes are indicated by boldface and italic type, respectively; for example, left| mathbf{A} ight| = A. In classical mechanics, the Laplace–Runge–Lenz vector (or simply the LRL vector) is a vector… … Wikipedia
Gelfand-Naimark-Segal construction — In functional analysis, given a C* algebra A , the Gelfand Naimark Segal construction establishes a correspondence between cyclic * representations of A and certain linear functionals on A (called states ). The correspondence is shown by an… … Wikipedia
Tomita–Takesaki theory — In the theory of von Neumann algebras, a part of the mathematical field of functional analysis, Tomita–Takesaki theory is a method for constructing modular automorphisms of von Neumann algebras from the polar decomposition of a certain involution … Wikipedia
Crossed product — In mathematics, and more specifically in the theory of von Neumann algebras, a crossed product is a basic method of constructing a new von Neumann algebra from a von Neumann algebra acted on by a group. It is related to the semidirect product… … Wikipedia
Spectral theory of ordinary differential equations — In mathematics, the spectral theory of ordinary differential equations is concerned with the determination of the spectrum and eigenfunction expansion associated with a linear ordinary differential equation. In his dissertation Hermann Weyl… … Wikipedia
Companion matrix — In linear algebra, the companion matrix of the monic polynomial is the square matrix defined as With this convention, and writing the basis as … Wikipedia
Gelfand–Naimark theorem — In mathematics, the Gelfand–Naimark theorem states that an arbitrary C* algebra A is isometrically * isomorphic to a C* algebra of bounded operators on a Hilbert space. This result was a significant point in the development of the theory of C*… … Wikipedia
Reeh–Schlieder theorem — The Reeh–Schlieder theorem is a result of relativistic local quantum field theory, stating that the vacuum is a cyclic vector for the field algebra of any open set in Minkowski space. It was published by Helmut Reeh and Siegfried Schlieder (1918… … Wikipedia
Subfactor — In the theory of von Neumann algebras, a subfactor of a factor M is a subalgebra that is a factor and contains 1. The theory of subfactors led to the discovery of the Jones polynomial in knot theory.Index of a subfactorUsually M is taken to be a… … Wikipedia
