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Convergence conditions returned by summation() and integrate() are not
guaranteed to be tight. That is why the "otherwise" condition is the
unevaluated sum/integral. It is possible for values outside of the
given condition will still produce a convergent result.

Aaron Meurer

On Sun, Aug 23, 2020 at 10:02 PM first last <[email protected]> wrote:
>
> There's a lot of literature about logic out there that no one who's designed 
> a CAS has read. A good CAS would take no more work to make than the 
> contemporary CAS's, which as a class are the worst made software I've ever 
> used extensively in my fifty years. Euclid wrote a crystal clear manual 2,500 
> years ago, but you clowns couldn't manage it.
>
> On Sun, Aug 23, 2020 at 7:49 PM [email protected] 
> <[email protected]> wrote:
>>
>> This again:
>>
>> sympy.summation(sympy.S('z^k / k'), sympy.S('(k, 1, oo)'))
>> Piecewise((-log(1 - z), (z >= -1) & (z < 1)), (Sum(z**k/k, (k, 1, oo)), 
>> True))
>>
>> I don't know what ">=" and mean "<", since Sympy (a program about math) was 
>> documented by a non-mathematician who neglected to define his mathematical 
>> terms; but it looks a lot like Sympy is singling out a segment of the real 
>> line instead of a disk in the complex plane. This program was designed from 
>> the ground up by amateurs not up to the task.
>>
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