Debian 12, Sage 9.5 (debian package), Mathematica 13.3
sage: mathematica("Sum[%s, %s]"%tuple(map(lambda u:repr(mathematica(u)),
((1+(-1
....: )^k)*x^k, [k , 0, oo]))))
-2/(-1 + x^2)
sage: mathematica.Sum(*map(mathematica, ((1+(-1)^k)*x^k, [k , 0, oo])))
{(1 + (-1)^k)*k*x^k, 0, (1 + (-1)^k)*x^k*Infinity}
On Sun, 9 Jul 2023 at 23:01, Emmanuel Charpentier <
emanuel.charpent...@gmail.com> wrote:
> Inspiration : this ask.sagemath.org question
> <https://ask.sagemath.org/question/69855/compute-power-series/>.
>
> Using the Wolfram engine <https://www.wolfram.com/engine/> gives me a
> curious and nonsensical conversion. Compare :
> sage: mathematica("Sum[%s, %s]"%tuple(map(lambda u:repr(mathematica(u)),
> ((1+(-1)^k)*x^k, [k , 0, oo])))) -2/(-1 + x^2) # Correct sage:
> mathematica.Sum(*map(mathematica, ((1+(-1)^k)*x^k, [k , 0, oo]))) {(1 +
> (-1)^k)*k*x^k, 0, (1 + (-1)^k)*x^k*Infinity} # Nonsensical
>
> I *think* that this signs a bug in the Mathematica conversion of sum. Can
> someone check me with the “full blown” Mathematica interpreter before I
> open an new issue ?
>
> Thanks in advance…
>
>
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