| (mathematics) | vector space - An additive group on which some (scalar)
field has an associative multiplicative action which
distributes over the addition of the vector space and respects
the addition of the (scalar) field: for vectors u, v and
scalars h, k; h(u+v) = hu + hv; (h+k)u = hu + ku; (hk)u =
h(ku). |