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-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} |