MaplePrimes - comments on Post, piecewise function & continuity

MaplePrimes - comments on Post, piecewise function & continuity http://www.mapleprimes.com/posts/37932-Piecewise-Function--Continuity en-us 2026 Maplesoft, A Division of Waterloo Maple Inc. Maplesoft Document System Thu, 11 Jun 2026 22:01:21 GMT Thu, 11 Jun 2026 22:01:21 GMT The latest comments added to the Post, piecewise function & continuity http://www.mapleprimes.com/images/mapleprimeswhite.jpg MaplePrimes - comments on Post, piecewise function & continuity http://www.mapleprimes.com/posts/37932-Piecewise-Function--Continuity Is this what you were http://www.mapleprimes.com/posts/37932-Piecewise-Function--Continuity?ref=Feed:MaplePrimes:piecewise function & continuity:Comments#comment67638 Is this what you were looking for? <a href='http://www.mapleprimes.com/viewfile/3196'><img src='http://www.mapleprimes.com/files/97_plotdiscontinuity.jpg' alt='97_plotdiscontinuity.jpg'></a> Regards, --Jean-Marc The latest comments added to the Post, piecewise function & continuity 67638 Fri, 06 Feb 2009 19:09:41 Z gulliet gulliet RE: piecewise function & continuity http://www.mapleprimes.com/posts/37932-Piecewise-Function--Continuity?ref=Feed:MaplePrimes:piecewise function & continuity:Comments#comment67396 From the codes that listed below,we can see that the piecewise() command  is a function checked by whattype(). The reserved word "undefined" makes the defination more precise. As you will see also from the plot,the "discont=true " is indispensable and the "axes=none" and the range "-1..2" make it more visible to distinguish whether  the end-point is included(A circle on the plot) or not. > f:=piecewise(x=0,0,x>0 and x<=1,1-x,undefined);    whattype(f);    plot(f,x=-1..2,discont=true ,axes=none); Ken.Lin @ Taiwan The latest comments added to the Post, piecewise function & continuity 67396 Sun, 22 Feb 2009 22:59:56 Z Ken Lin Ken Lin piecewise http://www.mapleprimes.com/posts/37932-Piecewise-Function--Continuity?ref=Feed:MaplePrimes:piecewise function & continuity:Comments#comment82149 From looking at several examples, it seems that when plotting a piecewise expression of the form piecewise(x < 0, a(x), x = 0, b, x > 0, c(x)) with discont=true the point [0,b] is included if and only if a(0) <> b(0).  Whether this is the same as b does not matter.  For example: > plot(piecewise(x < 0, 1, x = 0, 2, x > 0, 3), x = -1 .. 1, discont=true, axes = box); <a href="http://www.mapleprimes.com/viewfile/3263"><img src="http://www.mapleprimes.com/scripts/image.php?image=http://www.mapleprimes.com/files/4541_dplot1.gif&width=300&height=300" alt="" /></a> > plot(piecewise(x < 0, 3, x = 0, 2, x > 0, 3-2*x), x = -1 .. 1, discont=true, axes = box); <a href="http://www.mapleprimes.com/viewfile/3264"><img src="http://www.mapleprimes.com/scripts/image.php?image=http://www.mapleprimes.com/files/4541_dplot2.gif&width=300&height=300" alt="" /></a> Of course, to make sure the point is included you can always use pointplot. The latest comments added to the Post, piecewise function & continuity 82149 Mon, 23 Feb 2009 04:24:15 Z Robert Israel Robert Israel