Comment #18 on issue 3128 by asmeu...@gmail.com: Sum and Product
manipulations
http://code.google.com/p/sympy/issues/detail?id=3128
I am sure that mathematica can represent unevaluated summations. Anyway,
reordering the limits where we have to change them to get the same answer
is something that we might implement some day, so for now, it should just
raise NotImplementedError.
== applies to structural equality, not mathematical equality. So Sum(x, (x,
1, 3)) + Sum(x, (x, 4, 6)) == Sum(x, (x, 1, 6)) should indeed be False
because one is an Add and the other is a Sum.
Regarding limit order, look at https://github.com/sympy/sympy/pull/1696. We
need to be using the Karr convention (this will be harder, because I don't
think we currently do). The same applies to combining sums of Sums.
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