vector space
noun
°A type of set of vectors that satisfies a specific group of constraints.
"A vector space is a set of vectors which can be linearly combined."
°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*:VV, 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.
"Any field is a one-dimensional vector space over itself."
synonyms: linear space