[16] in mathematical software users group
RE: A formalism for discontinuties of functions
daemon@ATHENA.MIT.EDU (daemon@ATHENA.MIT.EDU)
Sun Mar 22 22:51:28 1992
Date: Mon, 23 Mar 1992 13:50:10 +1000
From: chen@deakin.OZ.AU
To: mflll@uxa.ecn.bgu.edu, msug@MIT.EDU
Date: Mon, 23 Mar 1992 13:08:55 +1000
From: chen@deakin.OZ.AU
Message-Id: <199203230308.AA00479@titan.cc.deakin.OZ.AU>
To: reidmp@Athena.MIT.EDU
Subject: Re: A formalism for discontinuities of functions?
Cc: msug@athena.mit.edu
Status: R
SymbMath can deal with discontinuous function by x+zero for right-hand side
limit value or by x-zero for left-hand side limit value. This type of functions
can be evaluated, differentiated, even integrated. e.g.
->f(x)=1/x # define function
->f(0+zero)
inf # right-hand side limit value (from +inf to 0)
->f(0-zero)
-inf # left-hand side limit value ( from -inf to 0)
->exp(1/(0+zero))
inf
->exp(1/(0-zero))
0
Its shareware version is available free from many anonymous FTP
sides (e.g. wsmr-simtel20.army.mil under /SIMTEL20/calculator/sm14a.zip).