It would be helpful if the components of a vector could be expanded and
simplified. Right now this happens:
sage: p,q,r = var('p,q,r')
sage: v = vector([(p+q)*r, (p-q)*r])
sage: w = vector([p*r+q*r, p*r-q*r])
sage: v
((p + q)*r, (p - q)*r)
sage: expand(v)
((p + q)*r, (p - q)*r)
sage: v-w
((p + q)*r - p*r - q*r, (p - q)*r - p*r + q*r)
sage: simplify(v-w)
((p + q)*r - p*r - q*r, (p - q)*r - p*r + q*r)
sage: (v-w).is_zero()
False
Would this involve anything more complicated than adding a method to the
vector class so that v.expand() gives vector(map(expand,list(v)))?
-Jeremy
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