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Re: Gaps in plotted graph, probably resulting from real values being miscomputed as complex

  • To: mathgroup at smc.vnet.net
  • Subject: [mg123511] Re: Gaps in plotted graph, probably resulting from real values being miscomputed as complex
  • From: Bob Hanlon <hanlonr357 at gmail.com>
  • Date: Fri, 9 Dec 2011 05:57:51 -0500 (EST)
  • Delivered-to: l-mathgroup@mail-archive0.wolfram.com

This is just a precision problem. Increase the precision.

Plot[Log[2,
  PDF[NormalDistribution[0, 1],
    InverseCDF[NormalDistribution[0, 1], (1 - 2^(-x))]]^2], {x, 1,
  256}, PlotRange -> {-500, 0}, WorkingPrecision -> 20]


Bob Hanlon

On Thu, Dec 8, 2011 at 5:22 AM, jdm <james.d.mclaughlin at gmail.com> wrote:
> Plot[Log[2,
>  PDF[NormalDistribution[0, 1],
>    InverseCDF[NormalDistribution[0, 1], (1 - 2^(-x))]]^2], {x, 1,
>  256}, PlotRange -> {-500, 0}]
>
> plots up to about x=56, and then nothing.
>
> Based on similar behaviour under another system, I suspect that some sort of
> calculation error as 1 - 2^(-x) approaches 1 is causing some of the
> values that should be plotted to be wrongly computed as complex
> numbers, but have no way of confirming this and don't understand why
> the real-valued values aren't being plotted for their corresponding x
> if this is the case.
>
> Can anyone suggest anything?
>
> Thanks,
>
> James McLaughlin.
>



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