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Article #237"Critical Points" for non-analytic functions
From: lloyd mitchell
Date: Sat, 21 Nov 1992 15:40
Date: Sat, 21 Nov 1992 15:40
15 lines
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1058 bytes
In sci.math, a question was asked about taking the derivative of a non- analytic complex function. In particular, the poster was trying to differentiate f(z) = y + ix, where z = x + iy. My question is this: For such functions, is there any such point that corresponds to a critical point for analytic functions? I'm curious because I'd like to generate Mandelbrot-type sets for some functions of this nature, and I wonder where one would begin iterating. (For analytic functions, Mandelbrot images are generated by beginning the iteration at a critical point.) Thanks for any info, Kerry Mitchell
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Newsgroups: sci.fractals Path: arc1-ca.pugleaf.net!sparky!uunet!mnemosyne.cs.du.edu!nyx!lmitchel From: lmitchel@nyx.cs.du.edu (lloyd mitchell) Subject: "Critical Points" for non-analytic functions Message-ID: <1992Nov21.154035.5381@mnemosyne.cs.du.edu> Summary: Are there any? Sender: usenet@mnemosyne.cs.du.edu (netnews admin account) Organization: University of Denver, Dept. of Math & Comp. Sci. Date: Sat, 21 Nov 92 15:40:35 GMT Lines: 15