vector space

vec·tor space

V v

Definitions of vector space words

noun vector space an additive group in which addition is commutative and with which is associated a field of scalars, as the field of real numbers, such that the product of a scalar and an element of the group or a vector is defined, the product of two scalars times a vector is associative, one times a vector is the vector, and two distributive laws hold. 1
noun vector space a mathematical structure consisting of a set of objects (vectors) associated with a field of objects (scalars), such that the set constitutes an Abelian group and a further operation, scalar multiplication, is defined in which the product of a scalar and a vector is a vector 0
noun vector space (mathematics) A type of set of vectors that satisfies a specific group of constraints. 0

before 1940

One of the 7% newest English words

First recorded in 1940-45

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This term is known only to a narrow circle of people with rare knowledge. Only 27% of English native speakers know the meaning of this word.

According to our data most of word are more popular. This word is almost not used. It has a much more popular synonym.

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