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Spijker's Lemma

The image on the Riemann Sphere of any Circle under a Complex rational mapping with Numerator and Denominator having degrees no more than $n$ has length no longer than $2n\pi$.


Edelman, A. and Kostlan, E. ``How Many Zeros of a Random Polynomial are Real?'' Bull. Amer. Math. Soc. 32, 1-37, 1995.

© 1996-9 Eric W. Weisstein