Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP
Posting-Version: Notesfiles $Revision: 1.6.2.17 $; site uiucdcsb.UUCP
Path: utzoo!watmath!clyde!burl!ulysses!mhuxr!ihnp4!inuxc!pur-ee!uiucdcsb!robison
From: robison@uiucdcsb.UUCP
Newsgroups: net.math
Subject: Re: Re: Re: Non-linear systems: disconti
Message-ID: <9700031@uiucdcsb.UUCP>
Date: Thu, 24-Jan-85 01:17:00 EST
Article-I.D.: uiucdcsb.9700031
Posted: Thu Jan 24 01:17:00 1985
Date-Received: Fri, 25-Jan-85 07:51:16 EST
References: <2619@umcp-cs.UUCP>
Lines: 25
Nf-ID: #R:umcp-cs:-261900:uiucdcsb:9700031:000:749
Nf-From: uiucdcsb!robison    Jan 24 00:17:00 1985

/* Written 11:01 am  Jan 21, 1985 by chris@umcp-cs in uiucdcsb:net.math */
/* ---------- "Re: Re: Non-linear systems: discont" ---------- */
[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?
-- 
(This line accidently left nonblank.)

In-Real-Life: Chris Torek, Univ of MD Comp Sci Dept (+1 301 454 7690)
UUCP:	{seismo,allegra,brl-bmd}!umcp-cs!chris
CSNet:	chris@umcp-cs		ARPA:	chris@maryland
/* End of text from uiucdcsb:net.math */