🚀 go-pugleaf

In article <1993Jan4.155647.9643@iscsvax.uni.edu> kraai4712@iscsvax.uni.edu writes:
>Hello Symbolic Mathers!
>
>I was wondering which symbolic packages aren't afraid to evaluate,
>symbolically, summations whose bounds are functions.
>
>Oh, and are any of those that meet the first criterion able to draw spheres
>quickly?
>
>I know these two questions come together sooooo often.

	I don't know about your last assertion, or why you want to,
but Maple does:

e.g.,
>f := n->n^2;
>g := n->n^3;
>h := (n,k)->1/(1+n+k);
>subs( n=sqrt(2), sum( h(n,k), k=f(n)..g(n) ) );

produces psi(2 + 3*sqrt(2)) - psi(3 + sqrt(2)) 
[that's approximately .381872089]. [note that I don't claim
that this is programming, much less "good"].

"sphereplot" is a builtin function.