From dd009e6da20d42c456ffb30684460dc040082d9d Mon Sep 17 00:00:00 2001
From: siveshs <siveshs@gmail.com>
Date: Sat, 3 Jul 2010 04:44:33 +0000
Subject: section 3 editing

---
 Fourier Series.page | 7 ++++---
 1 file changed, 4 insertions(+), 3 deletions(-)

diff --git a/Fourier Series.page b/Fourier Series.page
index cb19358..ff1449e 100644
--- a/Fourier Series.page	
+++ b/Fourier Series.page	
@@ -84,7 +84,7 @@ Let $f : \mathbb I \rightarrow \mathbb C$ be a continuous, periodic function whe
   
 $$
 \begin{array}{ccl}
-f & = & \Sigma e^{inx}\\ 
+f & = & \Sigma a_n \, e^{inx}\\ 
 & = & a_0 + \Sigma a_n\cos nx + \Sigma b_n\sin nx\\
 \end{array}
 $$  
@@ -157,8 +157,9 @@ $$
 \end{array}
 $$  
   
-Extending this principle to the case of an n-dimensional vector:
---> compute inner product here and then continue to show what the coefficient formula is
+Extending this principle to the case of an n-dimensional vector:  
+  
+Let  $f$ be the periodic function expressed as $ f= \Sigma a_n \frac{1}{\sqrt{2\pi}} \, e^{inx} = \Sigma a_n \, f_n$ where $a_n \Epsilon \mathbb C$
 
 ##Proving that this function is does indeed completely represent $f$
 
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