Универсальный англо-русский словарь. Академик.ру. 2011.
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 — 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 — 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 … Universalium
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
Scalar (mathematics) — In linear algebra, real numbers are called scalars and relate to vectors in a vector space through the operation of scalar multiplication, in which a vector can be multiplied by a number to produce another vector.More generally, the scalars… … Wikipedia
Scalar field theory — In theoretical physics, scalar field theory can refer to a classical or quantum theory of scalar fields. A field which is invariant under any Lorentz transformation is called a scalar , in contrast to a vector or tensor field. The quanta of the… … Wikipedia
Scalar multiplication — In mathematics, scalar multiplication is one of the basic operations defining a vector space in linear algebra (or more generally, a module in abstract algebra). Note that scalar multiplication is different from scalar product which is an inner… … Wikipedia
Scalar — A scalar is a variable that only has magnitude, e.g. a speed of 40 km/h. Compare it with vector, a quantity comprising both magnitude and direction, e.g. a velocity of 40km/h north .* Scalar (mathematics), a quantity which is independent of… … Wikipedia
scalar triple product — Math. the volume of the parallelepiped defined by three given vectors, u, v, and w, usually represented as u·v1(v×w), [uvw], or (uvw), where × denotes a cross product and · denotes an inner product. Also, triple scalar product. [1900 05] * * * … Universalium
scalar product — noun a real number (a scalar) that is the product of two vectors • Syn: ↑inner product, ↑dot product • Hypernyms: ↑real number, ↑real … Useful english dictionary
scalar product — noun Date: 1878 a real number that is the product of the lengths of two vectors and the cosine of the angle between them called also dot product, inner product … New Collegiate Dictionary
