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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