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author | siveshs <siveshs@gmail.com> | 2010-07-03 03:33:37 +0000 |
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committer | bnewbold <bnewbold@adelie.robocracy.org> | 2010-07-03 03:33:37 +0000 |
commit | aa36b513dca629903477aeb0476b7229850e448a (patch) | |
tree | 29bd76d9f2e2d31dac0ee876310a7ffd2a15ded6 | |
parent | 40f2e4297d1a048bc0652fcdfb40cbcd1aba9c75 (diff) | |
download | afterklein-wiki-aa36b513dca629903477aeb0476b7229850e448a.tar.gz afterklein-wiki-aa36b513dca629903477aeb0476b7229850e448a.zip |
section 3 editing
-rw-r--r-- | Fourier Series.page | 3 |
1 files changed, 2 insertions, 1 deletions
diff --git a/Fourier Series.page b/Fourier Series.page index cf288fc..df8441d 100644 --- a/Fourier Series.page +++ b/Fourier Series.page @@ -79,8 +79,9 @@ Summing these two functions we get the following: <center>![$\cos^{2n}(x) + cos^{2n+1}(x)$](/cos10x-cos11x.gif)</center> #What is the Fourier series actually?</b> + Now, to prove that the Fourier series is indeed true, we begin with the following hypothesis: -Let $f : \mathbb I \rightarrow \mathbb C$ be a continuous, periodic function where $I$ is some time interval(period of the function). Then it can be expressed as : +Let $f : \mathbb I \rightarrow \mathbb C$ be a continuous, periodic function where $I$ is some time interval(period of the function). Then it can be expressed as : $$ \begin{array}{ccl} |