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Re: PlotRange Trouble

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  • Subject: [mg90442] Re: PlotRange Trouble
  • From: Bill Rowe <readnews at>
  • Date: Wed, 9 Jul 2008 04:55:59 -0400 (EDT)

On 7/8/08 at 7:47 AM, aaronfude at (Aaron Fude) wrote:

>I may be wondering why I need this, but I do:

>ParametricPlot[{10^-600 z, z}, {z, 0, 100},
>PlotRange -> {{0, 10^-100}, {0, 100}}, AspectRatio -> 1]

>works perfectly, but

>ParametricPlot[{10^-600 z, z}, {z, 0, 100},
>PlotRange -> {{0, 10^-600}, {0, 100}}, AspectRatio -> 1]

>fails. What gives?

Aside from possibly trying to find something to make Mathematica
have problems, what possible reason could you have for making
either of these plots?

With the values you have chosen the example that does work in
the sense no error messages are generated results in a plot that
is indistinguishable from

ParametricPlot[{0, z}, {z, 0, 100},
  PlotRange -> {{0, 10^-100}, {0, 100}}, AspectRatio -> 1]

My guess as to the reason for the error message in the second
example likely has to do with fact the maximum value for the
plot range is given as an exact number that is essentially
indistinguishable from 0 when converted to a machine precision number.

But I frankly do not care if my guess is correct or not. The
bottom line is you are not doing anything useful here. So, I
cannot see anyone doing useful work with Mathematica could ever
encounter this.

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