- dual spaces
- дуальные пространства, пространство, находящееся в двойственности
Англо-русский словарь промышленной и научной лексики. 2014.
dual spaces
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Dual space — In mathematics, any vector space, V, has a corresponding dual vector space (or just dual space for short) consisting of all linear functionals on V. Dual vector spaces defined on finite dimensional vector spaces can be used for defining tensors… … Wikipedia
Dual bundle — In mathematics, the dual bundle of a vector bundle π : E → X is a vector bundle π* : E* → X whose fibers are the dual spaces to the fibers of E. The dual bundle can be constructed using the associated bundle construction by taking the… … Wikipedia
Dual pair — This article is about dual pairs of vector spaces. For dual pairs in representation theory, see Reductive dual pair. In functional analysis and related areas of mathematics a dual pair or dual system is a pair of vector spaces with an associated… … Wikipedia
Dual topology — In functional analysis and related areas of mathematics a dual topology is a locally convex topology on a dual pair, two vector spaces with a bilinear form defined on them, so that one vector space becomes the continuous dual of the other space.… … Wikipedia
Dual problem — In constrained optimization, it is often possible to convert the primal problem (i.e. the original form of the optimization problem) to a dual form, which is termed a dual problem. Usually dual problem refers to the Lagrangian dual problem but… … Wikipedia
Dual curve — Curves, dual to each other; see below for properties. In projective geometry, a dual curve of a given plane curve C is a curve in the dual projective plane consisting of the set of lines tangent to C. There is a map from a curve to its dual,… … Wikipedia
Dual cone and polar cone — A set C and its dual cone C * … Wikipedia
Hodge dual — In mathematics, the Hodge star operator or Hodge dual is a significant linear map introduced in general by W. V. D. Hodge. It is defined on the exterior algebra of a finite dimensional oriented inner product space. Contents 1 Dimensions and… … Wikipedia
Reductive dual pair — In the mathematical field of representation theory, a reductive dual pair is a pair of subgroups (G,G ′) of the isometry group Sp(W) of a symplectic vector space W, such that G is the centralizer of G ′ in Sp(W) and vice versa, and these groups… … 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
OpenLink Data Spaces — Infobox Software name = OpenLink Data Spaces (ODS) developer = OpenLink Software operating system = Cross platform genre = Data Spaces, Social Networking, Semantic Web, Omni Functional Platform license = Dual Licensed: GPL and Commercial website … Wikipedia
