thanks for your reply nils,
any other suggestion about what i could do to "help" maxima in simplifying
my expression?
in the end it does not complicated to me, it's just a problem of factoring
out thing.. ;-P

PS: also a pointer to other software packages besides maxima that would
help me would be appreciated

regards,
luigi


On Thu, Apr 3, 2014 at 8:05 PM, Nils Bruin <nbr...@sfu.ca> wrote:

> On Thursday, April 3, 2014 10:23:54 AM UTC-7, Luigi Malagò wrote:
>>
>> PS: maxima.load('simplify_sum') didnt work
>>
>
> In order for it to affect the "sum" command, you'd need to do
> maxima_calculus.load('simplify_sum') and then some work is required to
> actually call the routine on your expression. However, I think sage already
> loads simplify_sum and probably calls it in the process of processing a
> sum. It just looks like maxima doesn't simplify your expression further:
>
> (%i1) load(simplify_sum);
> (%o1)
> /usr/local/sage/sage-git/local/share/maxima/5.29.1/share/solve_rec/simpl\
> ify_sum.mac
> (%i2) display2d:false;
>
> (%o2) false
> (%i3) S : 1/2* alpha * sum(exp(-alpha/3*j)*alpha *
> sum(exp(-alpha/2*i)*exp(-alpha*((t-i-j)-1-i)),i,0,(t-1-j)-1),j,0,t-1);
>
> (%o3)
> alpha^2*('sum(%e^-(alpha*j/3)*'sum(%e^(-alpha*(t-j-2*i-1)-alpha*i/2),i,
>                                          0,t-j-2),j,0,t-1))
>  /2
> (%i4) simplify_sum(S);
>
> (%o4)
> alpha^2*('sum((%e^(3*alpha*(t-j-1)/2)-1)*%e^(-alpha*t+2*alpha*j/3+alpha)
>                      /(%e^(3*alpha/2)-1),j,0,t-1))
>  /2
>
> and I don't think sage tries anything beyond what maxima does.
>
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