Plotting a function with difference between 2 vectors?

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?

 采纳的回答

The shape is caused by where you can divide by 0. The difference is that, in the first case, this occurs along the diagonal line r1-r2=0. In the second case, the only time you divide by 0 is when r1=r2=0, hence the peak at a single point, (0,0).

1 个评论

yea, I guess u have to think about meshgrid(r1,r2) as a "vectorspace" spaned by the unit vecots r1 and r2 and not as indivdual vectors like I did.

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