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From: jfh@browngr.UUCP (John "Spike" Hughes)
Newsgroups: net.math
Subject: Re: Re: Non-linear systems: discontinuous functions
Message-ID: <1860@browngr.UUCP>
Date: Wed, 13-Feb-85 21:24:24 EST
Article-I.D.: browngr.1860
Posted: Wed Feb 13 21:24:24 1985
Date-Received: Mon, 18-Feb-85 04:46:26 EST
References: pucc-i.887, <209@talcott.UUCP> <328@rlgvax.UUCP> <384@hou2g.UUCP> <1027@sunybcs.
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     If you are willing to consider non-standard analysis, the delta function
can be defined as being infinity at 0 and 0 elsewhere, with an integral
that is in the monad of 1 (i.e. differs from 1 by an infinitesimal).
     This makes perfect sense, in an odd sort of way. See E. Nelson on
Non-Standard Anaylsis in the Bulletin of the Amer. Math. Soc., about 2-4
years ago (sorry about the vague reference). Write to me for further
info.
   -jfh