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-Several dependent variables Click here to download the video 1   Calculus Of Variation 1 click here to download the presentation

To download presentation about FFT click here Python Code of problem 4.16 S.S.Sastry from  cmath import* x=[1,2,3,4] N = len(x) s = 0 fft=[] for k in range(N):     for n in range(N):         s+=x[n]*exp(-2*pi/N*n*k*1j)     fft.append(s)     s=0 print fft Python Code of problem 4.17 S.S.Sastry from  cmath import* x=[1,1-1j,-1,1+1j] N = len(x) s = 0 fft=[] for k in range(N):     for n in range(N):         s+=1.0/N*x[n]*exp(2*pi/N*n*k*1j)                   fft.append(s)     s=0 print fft    

Equations video 1 Equations video 2 Equations video 3 Equations video 4

  Click here for -Introduction video 1 Click here for Introduction video 2