Bound 3D function with asymptote
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I want to plot the function
where
. The function has an asymptote at
so the z-axis continues very high if I use the following code (see figure for output):
syms x y
fsurf(exp(x)/(x^2+y^2))

I want to plot over a similar domain, or slightly smaller, but then have an upper bound such as at
. I tried doing this by adding the line
zlim([0, 15])

which gave me more or less the shape that I want.
However, MATLAB is still calculating the colours based off the original figure, so everything is blue. How can I make MATLAB plot something similar to the second figure, and but also calculate colours based on the second figure. That is, not by simply trimming the first one.
Thank you!
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Walter Roberson
2022-8-17
caxis([0 15])
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