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Большой англо-русский и русско-английский словарь. 2001.
subspaces
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Decoherence-free subspaces — A decoherence free subspace (DFS) is a subspace of a system s Hilbert space that is invariant to non unitary dynamics. Alternatively stated, they are a small section of the system Hilbert space where the system is decoupled from the environment… … Wikipedia
Euclidean subspace — In linear algebra, an Euclidean subspace (or subspace of R n ) is a set of vectors that is closed under addition and scalar multiplication. Geometrically, a subspace is a flat in n dimensional Euclidean space that passes through the origin.… … Wikipedia
Grassmannian — In mathematics, a Grassmannian is a space which parameterizes all linear subspaces of a vector space V of a given dimension. For example, the Grassmannian Gr 1( V ) is the space of lines through the origin in V , so it is the same as the… … Wikipedia
Clustering high-dimensional data — is the cluster analysis of data with anywhere from a few dozen to many thousands of dimensions. Such high dimensional data spaces are often encountered in areas such as medicine, where DNA microarray technology can produce a large number of… … Wikipedia
Invariant subspace — In mathematics, an invariant subspace of a linear mapping : T : V rarr; V from some vector space V to itself is a subspace W of V such that T ( W ) is contained in W . An invariant subspace of T is also said to be T invariant.If W is T invariant … Wikipedia
Coherent topology — In topology, a coherent topology is one that is uniquely determined by a family of subspaces. Loosely speaking, a topological space is coherent with a family of subspaces if it is a topological union of those subspaces. Contents 1 Definition 2… … Wikipedia
Vector space — This article is about linear (vector) spaces. For the structure in incidence geometry, see Linear space (geometry). Vector addition and scalar multiplication: a vector v (blue) is added to another vector w (red, upper illustration). Below, w is… … Wikipedia
Von Neumann algebra — In mathematics, a von Neumann algebra or W* algebra is a * algebra of bounded operators on a Hilbert space that is closed in the weak operator topology and contains the identity operator. They were originally introduced by John von Neumann,… … Wikipedia
Linear subspace — The concept of a linear subspace (or vector subspace) is important in linear algebra and related fields of mathematics.A linear subspace is usually called simply a subspace when the context serves to distinguish it from other kinds of subspaces.… … Wikipedia
Generalized flag variety — In mathematics, a generalized flag variety (or simply flag variety) is a homogeneous space whose points are flags in a finite dimensional vector space V over a field F. When F is the real or complex numbers, a generalized flag variety is a smooth … Wikipedia
Polar space — In mathematics, in the field of combinatorics, a polar space of rank n ( n ge; 3), or projective index n −1, consists of a set P , conventionally the set of points, together with certain subsets of P , called subspaces , that satisfy these axioms … Wikipedia
