Comment #3 on issue 3657 by [email protected]: Summation over
non-integers
http://code.google.com/p/sympy/issues/detail?id=3657
This method will not work if f is non linear. For instance,
summation(f, (i, 0, 1, 0.2)) [0.2 is step]
= f(0.2) + f(0.4) + f(0.6) + f(0.8) + f(1.0)
Now, if we scale the limits to be integers, there is no guarantee that f(x)
will scale the same as x. If indeed this is to be implemented for a general
function, this will need some other kind of implementation. Perhaps
eval_sum will have to be extended for this, I'm not really sure.
Of course, we can always have an implementation where f is linear. But that
might be quite odd; having this functionality for only linear functions, I
mean.
Comments?
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