From a7e6ffd52c66b8d88497f9d3f42182bd68c91087 Mon Sep 17 00:00:00 2001
From: siveshs <siveshs@gmail.com>
Date: Sat, 3 Jul 2010 04:06:44 +0000
Subject: section 3 editing

---
 Fourier Series.page | 7 ++++++-
 1 file changed, 6 insertions(+), 1 deletion(-)

(limited to 'Fourier Series.page')

diff --git a/Fourier Series.page b/Fourier Series.page
index be72e2b..45ab957 100644
--- a/Fourier Series.page	
+++ b/Fourier Series.page	
@@ -103,7 +103,12 @@ inner product, (f,g) & = & \int_0^{2\pi} f g \,dx\\
 $$
 
 This is the inner product of 2 real-number functions. For a function on complex numbers, the above definition must be altered as follows:    
---> altered function here    
+$$
+\begin{array}{ccl}
+inner product, (f,g) & = & \int_0^{2\pi} f \vec g \,dx\\
+\mid f \mid ^2  = (f, f) & = & \int_0^{2\pi} f^2 \,dx\\
+\end{array}
+$$  
   
 *Note: These are purely definitions, and we are now definining the inner product to ensure that inner product of f and f is a real number.*
 
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