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Article #74Re: HELP!!!CURVES AND SURFACES!! HELP!!!
From: Virgil
Date: Mon, 29 Jun 1998 00:00
Date: Mon, 29 Jun 1998 00:00
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1287 bytes
In article <3596E7AD.13026B32@hotmail.com>, Martin Gillstedt <m_gillstedt@hotmail.com> wrote: > Can anyone give me an example of 2 regular (i.e. the derivative is never > zero) simple closed curves in the plane, which are infinitely many times > differentiable everywhere (absolutely NO corners or edges in derivatives > of ANY order), and who are not similar to each other, such that their > isoperimetric quotients are equal? In the book "Counterexamples in Analysis" a method is shown for joining any two "infinitely smooth" curves which cross so that the join is also "infinitely smooth". Sorry, but I can't remember author, publisher, etc. I believe the book was published in the 50s. -- vmhjrx@friix.comx de-x to reply
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X-Google-Language: ENGLISH,ASCII-7-bit X-Google-Thread: 10d67e,2439d3db64ff9a0b X-Google-Attributes: gid10d67e,public X-Google-Thread: 1077c2,2439d3db64ff9a0b X-Google-Attributes: gid1077c2,public From: vmhjr@frii.com (Virgil) Subject: Re: HELP!!!CURVES AND SURFACES!! HELP!!! Date: 1998/06/29 Message-ID: <vmhjr-2906982342550001@ftc-0647.ppp.frii.com> X-Deja-AN: 367333594 References: <3596E7AD.13026B32@hotmail.com> Organization: Front Range Internet, Inc. (800-935-6527) Newsgroups: alt.uu.math.misc,aus.mathematics