inner product space

Englisch - Türkisch

Definition von inner product space im Englisch Türkisch wörterbuch

iç çarpımlı uzay

iç çarpimli uzay

(Matematik) iççarpımlı uzay

Relevante Übersetzungen

inner product spaces

(Fizik) iç çarpım uzayları

Englisch - Englisch

Definition von inner product space im Englisch Englisch wörterbuch

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

Relevante Übersetzungen

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

Silbentrennung

in·ner prod·uct space

Türkische aussprache

înır prädıkt speys

Aussprache

/ˈənər ˈprädəkt ˈspās/ /ˈɪnɜr ˈprɑːdəkt ˈspeɪs/