From 17e8c6dfce3f8800c3320bd5c00af75c8d681b2c Mon Sep 17 00:00:00 2001 From: siveshs Date: Fri, 2 Jul 2010 20:16:31 +0000 Subject: section 2 editing --- Fourier Series.page | 2 ++ 1 file changed, 2 insertions(+) diff --git a/Fourier Series.page b/Fourier Series.page index 1c00a5b..391a82a 100644 --- a/Fourier Series.page +++ b/Fourier Series.page @@ -73,6 +73,8 @@ As a final test to see if the Fourier series really could exist for any periodic If it is possible to approximate the above function using a sum of sines and cosines, then it can be argued that *any* continuous periodic function can be expressed in a similar way. This is because any function could be expressed as a number of peaks at every position. It turns out that the above function can be approximated as the sum of two cosines, namely, $\cos^{2n}(x) + cos^{2n+1}(x)$ +![alt text](/cos10x.gif) ![alt text](/cos11x.gif) + ##What is the Fourier series actually? ##Why is Fourier series useful? -- cgit v1.2.3