sum of binomials: not calculated?



On Jan 16, 2008 9:33 AM, Bart Vandewoestyne
<Bart.Vandewoestyne at telenet.be> wrote:

> (%i1) sum( binomial(s, k), k, 1, s);
>                               s
>                              ====
>                              \
> (%o1)                         >    binomial(s, k)
>                              /
>                              ====
>                              k = 1

As explained by Stavros, Maxima doesn't apply many simplifications
to summations. The methods he mentioned are all applied
by an add-on function named simplify_sum.

load (simplify_sum);
sum (binomial(s, k), k, 1, s);
 => (summation expression)
simplify_sum (%);
 => 2^s - 1

> I really would like to start using Maxima for all my symbolic
> calculations...

That is entirely laudable, and I hope it works out for you.
Be advised, however, that there are many known bugs in Maxima.
We are working on it, and making steady progress, but there is
a lot to do.

best,

Robert Dodier