- vector subspace
- мат. векторное подпространство
Большой англо-русский и русско-английский словарь. 2001.
vector subspace
Смотреть что такое "vector subspace" в других словарях:
Subspace — may refer to:;Mathematics * Euclidean subspace, in linear algebra, a set of vectors in n dimensional Euclidean space that is closed under addition and scalar multiplication. * Linear subspace, in linear algebra, a subset of a vector space that is … Wikipedia
Vector quantization — is a classical quantization technique from signal processing which allows the modeling of probability density functions by the distribution of prototype vectors. It was originally used for data compression. It works by dividing a large set of… … 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
Subspace (linear algebra) — In linear algebra, subspace may refer to:* Euclidean subspace, a set of vectors in n dimensional Euclidean space that is closed under addition and scalar multiplication. * Linear subspace, the corresponding notion for abstract vector spaces … Wikipedia
subspace — /sub spays /, n. 1. a smaller space within a main area that has been divided or subdivided: The jewelry shop occupies a subspace in the hotel s lobby. 2. Math. a. a subset of a given space. b. Also called linear manifold. a subset of a vector… … Universalium
Vector fields on spheres — In mathematics, the discussion of vector fields on spheres was a classical problem of differential topology, beginning with the hairy ball theorem, and early work on the classification of division algebras.Specifically, the question is how many… … Wikipedia
subspace — noun Date: 1926 a subset of a space; especially one that has the essential properties (as those of a vector space or topological space) of the including space … New Collegiate Dictionary
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
Examples of vector spaces — This page lists some examples of vector spaces. See vector space for the definitions of terms used on this page. See also: dimension, basis. Notation . We will let F denote an arbitrary field such as the real numbers R or the complex numbers C.… … 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
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
