Spijker's lemma

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In mathematics, Spijker's lemma is a result in the theory of rational mappings of the Riemann sphere. It states that the image of a circle under a complex rational map with numerator and denominator having degree at most n has length at most 2.

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  • Wegert, Elias; Trefethen, Lloyd N. (February 1994). "From the Buffon Needle Problem to the Kreiss Matrix Theorem". The American Mathematical Monthly. 101 (2): 132–139. JSTOR 2324361. doi:10.2307/2324361.