Re: how to simplify sums with constant subterms?

Stavros Macrakis <[email protected]>
Newsgroups gmane.comp.mathematics.maxima.general
Message-ID <CACLVabW-hwZpA_iZ-Y+CzBmNi442B-xv-sh4BcDzWVNk97bw8A@mail.gmail.com>
On Mon, Aug 17, 2026 at 2:11 PM Daniel Volinski via Maxima-discuss <
[email protected]> wrote:

>
> Why isn't "sum" additive and linear by default?
>

Two reasons:

   - Because infinite sums are only additive when they converge absolutely,
   and the user may substitute *inf* for *n* in *sum(..., i, 1, n)*.
   - The user may want to rearrange the summand, e.g., *sum(1/i-1/(i+1),...)
   => sum(1/(i^2+1),...)*. This also demonstrates the first point, as each
   term summed separately is divergent for the infinite sum.

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