numerical approximation of sums

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Bobbie Jantje
Bobbie Jantje 2016 年 7 月 7 日
Dear Matlab friends,
I have a question regarding the numerical approximation of sums. I have the following specification (the sum over an exponential function) of which I would like to have a numerical solution:
syms q
z = symsum((exp(-(0.01*(q+1)/200).^(2)))*q*0.0001, q, 0, 1000000)
However, when I run the command, matlab returns:
sum(q*exp(-(q/20000 + 1/20000)^2), q == 0..1000000)/10000
Also, when I turn to the MuPad environment, I do not manage to obtain a numerical solution (it does return an unresolved solution though). Is there any other way (apart from a loop) via which I could obtain an approximate or exact solution?
Best regards, B.

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