From aa36b513dca629903477aeb0476b7229850e448a Mon Sep 17 00:00:00 2001 From: siveshs Date: Sat, 3 Jul 2010 03:33:37 +0000 Subject: section 3 editing --- Fourier Series.page | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) (limited to 'Fourier Series.page') 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:
![$\cos^{2n}(x) + cos^{2n+1}(x)$](/cos10x-cos11x.gif)
#What is the Fourier series actually? + 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} -- cgit v1.2.3