inner product

Math.1. Also called dot product, scalar product. the quantity obtained by multiplying the corresponding coordinates of each of two vectors and adding the products, equal to the product of the magnitudes of the vectors and the cosine of the angle between them.2. the integral of the product of two realvalued functions.3. the integral of the product of the first of two complexvalued functions and the conjugate of the second.4. a complexvalued function of two vectors taken in order, whose domain is a vector space.[191520]
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Universalium. 2010.
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inner product — skaliarinė sandauga statusas T sritis automatika atitikmenys: angl. inner product; internal product; scalar product vok. inneres Produkt, n; skalares Produkt, n; Skalarprodukt, n rus. внутреннее произведение, n; скалярное произведение, n pranc.… … Automatikos terminų žodynas
inner product — skaliarinė sandauga statusas T sritis fizika atitikmenys: angl. inner product; internal product; scalar product vok. inneres Produkt, n; Skalarprodukt, n rus. внутреннее произведение, n; скалярное произведение, n pranc. produit intérieur, m;… … Fizikos terminų žodynas
inner product — in′ner prod′uct n. math. the quantity obtained by multiplying the corresponding coordinates of each of two vectors and adding the products, equal to the product of the magnitudes of the vectors and the cosine of the angle between them Also called … From formal English to slang
inner product — noun a real number (a scalar) that is the product of two vectors • Syn: ↑scalar product, ↑dot product • Hypernyms: ↑real number, ↑real … Useful english dictionary
inner product — noun Date: circa 1911 scalar product … New Collegiate Dictionary
inner product — noun A generalization of the dot product for vectors of any dimensionality that may or may not be complex numbered … Wiktionary
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
inner product space — 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… … Universalium
Indefinite inner product space — In mathematics, in the field of functional analysis, an indefinite inner product space :(K, langle cdot,,cdot angle, J) is an infinite dimensional complex vector space K equipped with both an indefinite inner product :langle cdot,,cdot angle and… … Wikipedia
Petersson inner product — In mathematics the Petersson inner product is an inner product defined on the space of entire modular forms. It was introduced by the German mathematician Hans Petersson. DefinitionLet mathbb{M} k be the space of entire modular forms of weight k… … Wikipedia