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A comment on The exponential function is a miracle. Parent comment
df/dx = f
df(ix)/dx = i f (ix)
so the "velocity" is always orthogonal to the "position". Thus the solution to this equation in the complex numbers has to be a rotation.
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df/dx = f
df(ix)/dx = i f (ix)
so the "velocity" is always orthogonal to the "position". Thus the solution to this equation in the complex numbers has to be a rotation.