I would like to calculate the partial sums of a fourier series and have
maxima do the work. So, I define an array of functions (well, that is my
intent)
f[0](x):=0;
for i:1 thru 10 do
f[i+1](x):=f[i](x)+(-1)^i/(2*i+1)^2*sin(%pi*x/(2*i+1)^2). Then, I would
plot the partial sums via plot2d.
However, both commercial Macsyma and maxima, while perfectly happy with
a subscripted definition such as f[0](x):=x, they complain when I try to
do this in a for loop. maxima gives the error message:
ERROR ((MPLUS) |$i| 1) is not of type STRING
Is there a way to overcome this difficulty? Thanks,
Dick Fell