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From: chris@umcp-cs.UUCP (Chris Torek)
Newsgroups: net.math
Subject: Re: Re: Non-linear systems: discontinuous functions
Message-ID: <2619@umcp-cs.UUCP>
Date: Mon, 21-Jan-85 11:01:28 EST
Article-I.D.: umcp-cs.2619
Posted: Mon Jan 21 11:01:28 1985
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Organization: U of Maryland, Computer Science Dept., College Park, MD
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[I've moved this from net.physics]

Speaking of discontinous functions ...

One of my favorite functions is

		{ 1/q,	x rational and expressed as p/q in lowest terms
	 f(x) = {
		{ 0,	x irrational

This thing is continuous nowhere, yet differentiable everywhere.
(f'(x) = 0 for all x.)

Does anyone else have a favorite weird function that is also simple to
define?
-- 
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In-Real-Life: Chris Torek, Univ of MD Comp Sci Dept (+1 301 454 7690)
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