Comment #24 on issue 1727 by asmeurer: fix namespace clashes
http://code.google.com/p/sympy/issues/detail?id=1727

Like I said, there are a ton of problems with Sum, which I conveniently ignored for the moment :) We should create a new issue for them.

Is it foolish consistency then to see if we might (at this break-with-the-past-0.7 release) make it:

Probably.

Yes. I would recommend that the limits for Sum and Product be calculated using Integral so we have that code in one place. At least Sum should use it, e.g. limits = Integral(Dummy(), args_to_generate_limits).limits

I think it would be better to move the code out of Integral. Maybe we should have a superclass of Integral, Sum, and Product that would just handle this.

Is there an indefininte product?

Yes. See http://en.wikipedia.org/wiki/Indefinite_product. But like I said, there is not much implemented yet in SymPy in this direction.

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