section 3 editing

1 files changed, 6 insertions, 2 deletions

diff --git a/Fourier Series.page b/Fourier Series.page
index e4d4e6f..48f1bdb 100644
--- a/Fourier Series.page
+++ b/Fourier Series.page
@@ -110,7 +110,7 @@ inner product, (f,g) & = & \int_0^{2\pi} f \,\bar g \,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.*
+*Note: These are purely definitions, and we are  defining the inner product to ensure that the inner product of f and f is a real number.*
 
 ##Basis Vectors of the Hilbert Space  
 The basis vectors of this Hilbert space are taken as follows:  
@@ -120,7 +120,11 @@ Any basis vectors could conceivable have been assumed on the condition that the
   
 In order to prove orthonormality of the basis vectors:  
   
---> orthonormal proof goes here  
+$$
+\begin{array}{ccl}
+(f_n,f_m) = \int_0^{2\pi} \, \frac{1}{\sqrt{2\pi}} \, e^{inx} \, \bar {\frac{1}{\sqrt{2\pi}} \, e^{inx}} \, dx\\
+\end{array}
+$$ 
   
 ##Determining Coefficients of the Basis vectors
 In any vector space, the inner product of a vector and its basis vector gives the coefficient. For example, consider a 2-dimensional vector as shown below: