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[?] Get Fourier series coefficients with for loop?

Gennaro Arguzzi
Posted 9 years ago

Hello everyone, I'd like to get the coefficients of the Fourier series with a for loop. I tried to do it in the following way:

For[i = -10, i < 11, i++, FourierCoefficient[Sin[t], t, i]]

but it does not work. Can you help me please?

Thank you very much.
POSTED BY: Gennaro Arguzzi
8 Replies
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POSTED BY: Michael Rogers
POSTED BY: Neil Singer

Fourier series coefficients with for loop
POSTED BY: Neil Singer

Build in functions work faster than program code.
POSTED BY: Ivan Siahlo

Sorry, I don't know the reason. I was alerting you to Stephen Wolfram's statement since you were using a For command to solve your problem.

Regards
POSTED BY: Ed Forrester

Hi @Ed Forrester. Do you know why for command is bad?
POSTED BY: Gennaro Arguzzi

Gennaro, a side note. Stephen Wolfram mentions in his book "An Elementary Introduction To The Wolfram Language" on page 237 that the For command is almost always a bad idea, and can almost always be replaced by much cleaner code using constructs such as Table.
POSTED BY: Ed Forrester

Gennaro, try this: Table[FourierCoefficient[Sin[t], t, i], {i, -10, 10}] Regards,
POSTED BY: Ed Forrester
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