Fourier series, applications to sound

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Homework Help Overview

The discussion revolves around understanding the Fourier series, particularly focusing on the application of cosine terms and the origins of specific coefficients in the series. Participants are attempting to clarify their understanding of the mathematical derivation involved.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants express confusion regarding the presence of a specific denominator in the cosine term. There are attempts to derive the formula independently, with some participants sharing their own derivations while still feeling uncertain about the results.

Discussion Status

The conversation includes various attempts to clarify the mathematical derivation, with some participants suggesting that personal derivation may lead to better understanding. However, there is no explicit consensus on the correct interpretation or resolution of the confusion regarding the denominator.

Contextual Notes

Participants are working within the constraints of a homework assignment, which may limit the information they can share or the methods they can use. There is an ongoing questioning of assumptions related to the derivation process.

robertjford80
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Homework Statement



Screenshot2012-06-18at13057AM.png



The Attempt at a Solution



I don't understand where that 2 comes from in the denominator in cos nπ/2
 
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robertjford80 said:

Homework Statement



Screenshot2012-06-18at13057AM.png



The Attempt at a Solution



I don't understand where that 2 comes from in the denominator in cos nπ/2

Instead of trying to follow somebody else's presentation, just sit down and do the integrations yourself. That way, you will answer your own question, and will *understand it much better than if somebody else showed you how to do it*. I really believe that.

RGV
 
of course i always do my own derivation. my own derivation is -cosnπ/524nπ - 1/524nπ

There, I'm still as clueless I was before.
 
robertjford80 said:
of course i always do my own derivation. my own derivation is -cosnπ/524nπ - 1/524nπ

There, I'm still as clueless I was before.

So, you claim that 524/1048 = 1? That is the only way you could end up with what you said.

RGV
 
ok, I got it.
 

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