04/02/2023, 09:24 AM
Just to go a bit further... Assume that \(f(z) = e^z\) and \(L(z) = \sqrt{z}\). Then if we graph \(f\) over \(|\Re(z)| < 1\) and \(|\Im(z)| < 1\)--where the line \(||f'(z)| - |L(z)|| < 0.001\) means the pixel is YELLOW!
We get this graph... I'm still fucking up the thickness... But it's O(1) in code at least, lmao:
We get this graph... I'm still fucking up the thickness... But it's O(1) in code at least, lmao:

