- space of finite dimension
- конечномерное пространство
English-Russian electronics dictionary .
space of finite dimension
Смотреть что такое "space of finite dimension" в других словарях:
space — [spās] n. [ME < OFr espace < L spatium < IE base * spēi , to flourish, expand, succeed > SPEED, L spes, hope, ON sparr, OE spær, thrifty] 1. a) the three dimensional, continuous expanse extending in all directions and containing all… … English World dictionary
Space (mathematics) — This article is about mathematical structures called spaces. For space as a geometric concept, see Euclidean space. For all other uses, see space (disambiguation). A hierarchy of mathematical spaces: The inner product induces a norm. The norm… … Wikipedia
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
Dimension theorem for vector spaces — In mathematics, the dimension theorem for vector spaces states that all bases of a vector space have equally many elements. This number of elements may be finite, or given by an infinite cardinal number, and defines the dimension of the space.… … Wikipedia
Dimension — 0d redirects here. For 0D, see 0d (disambiguation). For other uses, see Dimension (disambiguation). From left to right, the square, the cube, and the tesseract. The square is bounded by 1 dimensional lines, the cube by 2 dimensional areas, and… … Wikipedia
Finite field — In abstract algebra, a finite field or Galois field (so named in honor of Évariste Galois) is a field that contains only finitely many elements. Finite fields are important in number theory, algebraic geometry, Galois theory, cryptography, and… … Wikipedia
Finite dimensional von Neumann algebra — In mathematics, von Neumann algebras are self adjoint operator algebras that are closed under a chosen operator topology. When the underlying Hilbert space is finite dimensional, the von Neumann algebra is said to be a finite dimensional von… … Wikipedia
Inner product space — In mathematics, an inner product space is a vector space with the additional structure of inner product. This additional structure associates each pair of vectors in the space with a scalar quantity known as the inner product of the vectors.… … Wikipedia
Totally bounded space — In topology and related branches of mathematics, a totally bounded space is a space that can be covered by finitely many subsets of any fixed size (where the meaning of size depends on the given context). The smaller the size fixed, the more… … Wikipedia
Space group — In mathematics and geometry, a space group is a symmetry group, usually for three dimensions, that divides space into discrete repeatable domains. In three dimensions, there are 219 unique types, or counted as 230 if chiral copies are considered… … Wikipedia
Dimension function — In mathematics, the notion of an (exact) dimension function (also known as a gauge function) is a tool in the study of fractals and other subsets of metric spaces. Dimension functions are a generalisation of the simple diameter to the dimension… … Wikipedia
