Mon Jun 24 16:28:47 EEST 2013

XRay of $k e^{x k} = e^{x^k}$

XRay of $F(x) = k e^{x k} - e^{x^k}$. Red is \Re F(x)=0, blue is \Im F(x) = 0. Intersection of read and blue is a complex zero (modulo bugs). Counterintuitively to dumb me the number of "areas" equals $k$ for integer $k$.
k=2

k=3

k=7

k=3, zoom

Posted by j | Permanent link