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Python 2.7

Click on following links 1. python 2.7 2. Numpy 3. Matplotlib Or paste this URLs in your Browser Window https://drive.google.com/file/d/1aYFryS7jXFmYcVjf3xrQyzqmD9CQACHl/view?usp=sharing https://drive.google.com/file/d/1MktYNkTJlCtaRNMvSV-4XdN8--RyXZCH/view?usp=sharing https://drive.google.com/file/d/1D-3_rzuQzt-p0gsd7nk8e4p9tRd6Di0z/view?usp=sharing if above links are not working following is link of the google drive folder Google drive

Calculus of vaiation

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

FFT

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    

Latex -Type setting Equations

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

Latex introduction

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

methodology ppt slides as pdf

https://drive.google.com/open?id=14wvDoMpBkw6P733UQdJq71O08O3zY2PT