An octave/MATLAB script to show the relation
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This MATLAB/octave script is a check for the idea that .
close all; T=.01; t=-10:T:10; f=t; [ff,tt]=meshgrid(f,t); r=exp(j*2*pi.*ff.*tt); delta=trapz(r)*T; plot(t,delta); one1=T*trapz(delta)