add not sum

acer — Thu, 18 Nov 2010 22:01:41 Z

Using `add` instead of `sum` makes a big difference here. For such adding of a finite (explicit) number of terms, you should be using `add`.

Suppressing printing of results by terminating statements with full colon : instead of semicolon ; can also help. (Not here, since the example below has length too long for display in the Standard GUI at default settings. But if the output is going to be too long for you to sensibly view, then don't print it out.)

> restart:
> f:=x->add(n*x*sin(n*x),n=1..1000):
> g:=taylor(f(x),x=1,60):
> kernelopts(bytesalloc);
                           287257216

That's about 300MB of memory allocated. It was reasonably fast, too.

acer

MaplePrimes - answers and comments on Question, How can I obtain the taylor series or expansion of a large expression without having the gigantic memory?

add not sum