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Computing (FOLDOC) dictionary
vector space
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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 =