Comment #32 on issue 3128 by trel...@psu.edu: Sum and Product manipulations
http://code.google.com/p/sympy/issues/detail?id=3128

Right. The notation of defining sums with just the limits of the sum is ambiguous (hence, bad notation). Reasonable people may disagree about the "right" interpretation, and the "best choice" can depend on context. If I had a multiset compose of the join of sets of integers between -2+k and 2-k, for k=0..4, __I__ would expect

Sum((Sum(1,(i,-2+k,2-k))),(k,0,4)).doit()

to return the size of the multiset == # of x's in

     0 |    x  x  x  x  x
     1 |       x  x  x
     2 |          x
     3 |       x  x  x
     4 |    x  x  x  x  x
    ---+----------------------
       |-3 -2 -1  0  1  2  3

But the best design choice should be whatever makes the users most comfortable and productive.

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