The following generates an error:
phi(i,l,m,mu):= A[i,l,m]*%e^((l+1/2)*mu)+B[i,l,m]*%e^(-(l+1/2)*mu);
ans:[ phi(0,l,m,mu[0])-phi(1,l,m,mu[0])=0,
phi(1,l,m,mu[1])-phi(2,l,m,mu[1])=0,
phi(2,l,m,-mu[2])-phi(3,l,m,-mu[2])=0 ]$
for i:0 thru 2 step 1 do
ap[i]:diff(ans,B[i,l,m]),
am[i]:diff(ans,A[i,l,m]),
for j:0 thru 2 step 1 do
aap[j,i]:part(ap[i],j+1,2),
aam[j,i]:part(am[i],j+1,2);
On the other hand, replacing the for loops with
for i:0 thru 2 step 1 do
ap[i]:diff(ans,B[i,l,m]);
for i:0 thru 2 step 1 do
am[i]:diff(ans,A[i,l,m]);
for i:0 thru 2 step 1 do
for j:0 thru 2 step 1 do
aap[j,i]:part(ap[i],j+1,2);
for i:0 thru 2 step 1 do
for j:0 thru 2 step 1 do
aam[j,i]:part(am[i],j+1,2);
works as expected.
David