vector spaces

Английский Язык - Турецкий язык

Определение vector spaces в Английский Язык Турецкий язык словарь

vektör uzayları

Связанные Термины

vector space

(Matematik) doğrusal uzay

vector space

vektör uzayı, yöney uzayı, doğrusal uzay

vector space

vektör uzayı

vector space

yöney uzayı

Английский Язык - Английский Язык

Определение vector spaces в Английский Язык Английский Язык словарь

Связанные Термины

vector space

A type of set of vectors that satisfies a specific group of constraints

Each vector space has a basis and dimension.

vector space

A set V, whose elements are called "vectors", together with a binary operation + forming a module (V,+), and a set F* of bilinear unary functions f*: V→V, each of which corresponds to a "scalar" element f of a field F, such that the composition of elements of F* corresponds isomorphically to multiplication of elements of F, and such that for any vector v, 1*(v) = v

vector space

A system consisting of a set of generalized vectors and a field of scalars, having the same rules for vector addition and scalar multiplication as physical vectors and scalars. In mathematics, a collection of objects called vectors, together with a field of objects (see field theory), known as scalars, that satisfy certain properties. The properties that must be satisfied are: (1) the set of vectors is closed under vector addition; (2) multiplication of a vector by a scalar produces a vector in the set; (3) the associative law holds for vector addition, u + (v + w) = (u + v) + w; (4) the commutative law holds for vector addition, u + v = v + u; (5) there is a 0 vector such that v + 0 = v; (6) every vector has an additive inverse (see inverse function), v + (-v) = 0; (7) the distributive law holds for scalar multiplication over vector addition, n(u + v) = nu + nv; (8) the distributive law also holds for vector multiplication over scalar addition, (m + n)v = mv + nv; (9) the associative law holds for scalar multiplication with a vector, (mn)v = m(nv); and (10) there exists a unit vector 1 such that 1v = v. The set of all polynomials in one variable with real coefficients is an example of a vector space

Расстановка переносов

vec·tor spaces

Турецкое произношение

vektır speysız

Произношение

/ˈvektər ˈspāsəz/ /ˈvɛktɜr ˈspeɪsəz/