inner product space

listen to the pronunciation of inner product space
Englisch - Türkisch
iç çarpımlı uzay
iç çarpimli uzay
(Matematik) iççarpımlı uzay
inner product spaces
(Fizik) iç çarpım uzayları
Englisch - Englisch
In mathematics, a vector space or function space in which an operation for combining two vectors or functions (whose result is called an inner product) is defined and has certain properties. Such spaces, an essential tool of functional analysis and vector theory, allow analysis of classes of functions rather than individual functions. In mathematical analysis, an inner product space of particular importance is a Hilbert space, a generalization of ordinary space to an infinite number of dimensions. A point in a Hilbert space can be represented as an infinite sequence of coordinates or as a vector with infinitely many components. The inner product of two such vectors is the sum of the products of corresponding coordinates. When such an inner product is zero, the vectors are said to be orthogonal (see orthogonality). Hilbert spaces are an essential tool of mathematical physics. See also David Hilbert
inner space
1. the region between the earth and outer space, or below the surface of the sea.2. the part of the mind not normally accessible to consciousness
inner product space

    Silbentrennung

    in·ner prod·uct space

    Türkische aussprache

    înır prädıkt speys

    Aussprache

    /ˈənər ˈprädəkt ˈspās/ /ˈɪnɜr ˈprɑːdəkt ˈspeɪs/
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