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authorsiveshs <siveshs@gmail.com>2010-07-03 03:32:47 +0000
committerbnewbold <bnewbold@adelie.robocracy.org>2010-07-03 03:32:47 +0000
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downloadafterklein-wiki-40f2e4297d1a048bc0652fcdfb40cbcd1aba9c75.tar.gz
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section 3 editing
-rw-r--r--Fourier Series.page2
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@@ -79,7 +79,7 @@ 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 begin proving that the Fourier series is a true fact let us begin with the following hypothesis:
+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 :
$$