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ScalarProduct
Syntax
ScalarProduct(L, M):OBJECT
where each of L and M is of type VECTOR or LIST
Summary
scalar product
Description
This function returns the sum of the product of the components of L
and M; precisely:
ScalarProduct(L,M) = Sum([L[I]*M[I]|I In 1..Min(Len(L),Len(M))])).
Thus, the function works even if the lengths of L and M are different.
The function works whenever the product of the components of L and M
are defined (see
"Algebraic Operators").
example
ScalarProduct([1,2,3],[5,0,-1]);
2
-------------------------------
ScalarProduct([1,2,3],[5,0]);
5
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Use R ::= Q[x,y];
ScalarProduct([Ideal(x,y),Ideal(x^2-xy)],[x^2,y]);
Ideal(x^3, x^2y, x^2y - xy^2)
-------------------------------
See Also