From 220437514079b85fea2c9e089f601fd5525abb56 Mon Sep 17 00:00:00 2001 From: siveshs Date: Fri, 2 Jul 2010 23:21:54 +0000 Subject: section 3 editing --- Fourier Series.page | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) (limited to 'Fourier Series.page') diff --git a/Fourier Series.page b/Fourier Series.page index 87806b1..a9a206d 100644 --- a/Fourier Series.page +++ b/Fourier Series.page @@ -80,12 +80,12 @@ Summing these two functions we get the following: #What is the Fourier series actually? Now, to begin proving that the Fourier series is a true fact let us begin with the following hypthesis: -Let f ____ be a continuous, periodic function where I is some the time interval(period of the function). Then it can be expressed as : +Let $f \mathbbI \rightarrow \mathbbC$ be a continuous, periodic function where I is some the time interval(period of the function). Then it can be expressed as : $$ \begin{array}{ccl} f & = & \Sigma e^{inx}\\ -& = & a0 + \Sigma a_n\cos nx + \Sigma b_n\sin nx\\ +& = & a_0 + \Sigma a_n\cos nx + \Sigma b_n\sin nx\\ \end{array} $$ -- cgit v1.2.3