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vector space of dimension n

См. также в других словарях:

  • Dimension (vector space) — In mathematics, the dimension of a vector space V is the cardinality (i.e. the number of vectors) of a basis of V. It is sometimes called Hamel dimension or algebraic dimension to distinguish it from other types of dimension. This description… …   Wikipedia

  • Vector space model — (or term vector model ) is an algebraic model for representing text documents (and any objects, in general) as vectors of identifiers, such as, for example, index terms. It is used in information filtering, information retrieval, indexing and… …   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

  • vector space — Math. an additive group in which addition is commutative and with which is associated a field of scalars, as the field of real numbers, such that the product of a scalar and an element of the group or a vector is defined, the product of two… …   Universalium

  • vector space — noun a) A type of set of vectors that satisfies a specific group of constraints. A vector space is a set of vectors which can be linearly combined. b) A set V, whose elements are called vectors , together with a binary operation + forming a… …   Wiktionary

  • dimension of a vector space — vektorinės erdvės dimensija statusas T sritis automatika atitikmenys: angl. dimension of a vector space vok. Dimmension eines Vektorraumes, f rus. размерность векторного пространства, f pranc. dimension d un espace vectoriel, f …   Automatikos terminų žodynas

  • Orientation (vector space) — See also: orientation (geometry) The left handed orientation is shown on the left, and the right handed on the right. In mathematics, orientation is a notion that in two dimensions allows one to say when a cycle goes around clockwise or… …   Wikipedia

  • Symplectic vector space — In mathematics, a symplectic vector space is a vector space V equipped with a nondegenerate, skew symmetric, bilinear form omega; called the symplectic form. Explicitly, a symplectic form is a bilinear form omega; : V times; V rarr; R which is *… …   Wikipedia

  • Complex conjugate vector space — In mathematics, the (formal) complex conjugate of a complex vector space is the complex vector space consisting of all formal complex conjugates of elements of . That is, is a vector space whose elements are in one to one correspondence with the… …   Wikipedia

  • Super vector space — In mathematics, a super vector space is another name for a Z2 graded vector space, that is, a vector space over a field K with a given decomposition:V=V 0oplus V 1.The study of super vector spaces and their generalizations is sometimes called… …   Wikipedia

  • Prehomogeneous vector space — In mathematics, a prehomogeneous vector space (PVS) is a finite dimensional vector space V together with a subgroup G of GL( V ) such that G has an open dense orbit in V . Prehomogeneous vector spaces were introduced by Mikio Sato in 1970 and… …   Wikipedia

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