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| author | siveshs <siveshs@gmail.com> | 2010-07-02 14:00:01 +0000 |
|---|---|---|
| committer | bnewbold <bnewbold@adelie.robocracy.org> | 2010-07-02 14:00:01 +0000 |
| commit | 10a58589f3324625884995a68486b8cda213f9a2 (patch) | |
| tree | 7d9333da0786e575306594f2174bbb1fa8e96a81 /Fourier Series.page | |
| parent | 7f63506972de44746eb875bdb6e90c7648232be6 (diff) | |
| download | afterklein-wiki-10a58589f3324625884995a68486b8cda213f9a2.tar.gz afterklein-wiki-10a58589f3324625884995a68486b8cda213f9a2.zip | |
still testing
Diffstat (limited to 'Fourier Series.page')
| -rw-r--r-- | Fourier Series.page | 9 |
1 files changed, 8 insertions, 1 deletions
diff --git a/Fourier Series.page b/Fourier Series.page index 9c20925..3e450d3 100644 --- a/Fourier Series.page +++ b/Fourier Series.page @@ -45,7 +45,14 @@ $$ & = & \frac{1}{2}\sin(x) + \frac{1}{2}\sin(3x)\\ \end{array} $$ - + +Thus, we see that both these functions could be expressed as sums of sines and cosines. It is possible to show that every product of trignometric functions can be expressed as a sum of sines and cosines: + +$$ +\begin{arary}{ccl} +e^{i\theta} & = & \cos \theta + i \sin \theta\\ +\end{array} +$$ ##What is the Fourier series actually?</b> ##Why is Fourier series useful? </b> |