- dual space
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The vector space which comprises the set of linear transformations of a given vector space into its scalar field
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dual space
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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 space — Math. the set of all linear functionals whose domain is a given vector space. * * * … Universalium
dual space — Math. the set of all linear functionals whose domain is a given vector space … Useful english dictionary
Beta-dual space — In functional analysis and related areas of mathematics, the beta dual or eta dual is a certain linear subspace of the algebraic dual of a sequence space. Definition Given a sequence space X the eta dual of X is defined as:X^{eta}:={x in omega … 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 basis — In linear algebra, a dual basis is a set of vectors that forms a basis for the dual space of a vector space. For a finite dimensional vector space V, the dual space V* is isomorphic to V, and for any given set of basis vectors {e1, …, en} of V,… … Wikipedia
Dual norm — The concept of a dual norm arises in functional analysis, a branch of mathematics. Let X be a Banach space with norm . Then the dual space X* is the collection of all continuous linear functionals from X into the base field (which is either R or… … Wikipedia
space — 1. noun /speɪs/ a) The intervening contents of a volume. If it be only a Single Letter or two that drops, he thruſts the end of his Bodkin between every Letter of that Word, till he comes to a Space: and then perhaps by forcing thoſe Letters… … Wiktionary
Dual object — In category theory, a branch of mathematics, it is possible to define a concept of dual object generalizing the concept of dual space in linear algebra. A category in which each object has a dual is called autonomous or rigid. Contents 1… … Wikipedia
Space Station Freedom — was the name given to NASA s project to construct a permanently manned Earth orbiting space station. Although approved by then president Ronald Reagan and announced in the 1984 State of the Union Address, Freedom was never constructed or… … Wikipedia
