Re: Exclusions inconsistancy
- To: mathgroup at smc.vnet.net
- Subject: [mg79727] Re: Exclusions inconsistancy
- From: "David Park" <djmpark at comcast.net>
- Date: Thu, 2 Aug 2007 04:02:55 -0400 (EDT)
- References: <f8pj9l$269$1@smc.vnet.net>
The documentation doesn't say that Exclusions and ExclusionsStyle plots asymptotes. It only plots excluded regions. In the odd cases you cite the excluded region defines a line but in the even cases it only defines a point at infinity. It would be nice to know the actual algorithm used, especially for 2-dimensional exclusion regions. For the plots you cite it probably draws a line between the left and right limits. -- David Park djmpark at comcast.net http://home.comcast.net/~djmpark/ "Ken Levasseur" <klevasseur at mac.com> wrote in message news:f8pj9l$269$1 at smc.vnet.net... >A student just pointed out to me that the asymptote at x=1 is drawn > in the following plot only when k is odd. For even values, no > asymptote appears. > > Plot[1/(x - 1)^k, {x, -5, 5}, PlotRange -> {{-5, 5}, {-5, 5}}, > Exclusions -> {x - 1 == 0}, ExclusionsStyle -> {{Thick, Red}}] > > This appears to generalize to other examples like Tan[x]^k. > > Anyone know why? > > Ken Levasseur > Mathematical Sciences > UMass Lowell >