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| author | siveshs <siveshs@gmail.com> | 2010-07-02 23:13:45 +0000 |
|---|---|---|
| committer | bnewbold <bnewbold@adelie.robocracy.org> | 2010-07-02 23:13:45 +0000 |
| commit | b6fdb5522889e3784acd7d8edb52c3cfcff8c384 (patch) | |
| tree | 0c689d3737716fffdd1942939108d44a06ac9526 | |
| parent | 7b589152f4921892fe717a5c9e80d16aa0f3e8ec (diff) | |
| download | afterklein-wiki-b6fdb5522889e3784acd7d8edb52c3cfcff8c384.tar.gz afterklein-wiki-b6fdb5522889e3784acd7d8edb52c3cfcff8c384.zip | |
section 3 editing
| -rw-r--r-- | Fourier Series.page | 9 |
1 files changed, 9 insertions, 0 deletions
diff --git a/Fourier Series.page b/Fourier Series.page index d7623b1..a49781b 100644 --- a/Fourier Series.page +++ b/Fourier Series.page @@ -79,5 +79,14 @@ Summing these two functions we get the following: <center></center> ##What is the Fourier series actually?</b> +Now, to begin proving that the Fourier series is a true fact let us begin with the following hypthesis: +Let f ____ be a continuous, periodic function where I is some the time interval(period of the function). Then it can be expressed as + +$$ +\begin{array} {ccl} +f & = & \sigma e^{inx}\\ +& = & \a0 \sigma a~n\cos nx + \sigma b~n\sin nx\\ +\end{array} +$$ ##Why is Fourier series useful? </b> |