vector space

from The Free On-line Dictionary of Computing (8 July 2008)

vector space

   <mathematics> 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).

   [Simple example?]

   (1996-09-30)