Plotting a function with difference between 2 vectors?
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I want to plot
where
is the magnitude of the distance between 2 vectors:
: 
If I would implement this idea in Matlab:
[r1,r2] = meshgrid(linspace(-1,1,100));
phi = 1./(r1-r2);
mesh(r1,r2,phi)
what's nor really any kind of potential. Instead
[r1,r2] = meshgrid(linspace(-1,1,100));
phi = 1./sqrt((r1.^2+r2.^2));
mesh(r1,r2,phi)
is drawing the shape I sougth. Where does this difference originate from?
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