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MathGroup Archive 2007

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Re: LogLogPlots in Version 6.0

  • To: mathgroup at smc.vnet.net
  • Subject: [mg77060] Re: [mg77038] LogLogPlots in Version 6.0
  • From: Brett Champion <brettc at wolfram.com>
  • Date: Sat, 2 Jun 2007 04:16:55 -0400 (EDT)
  • References: <200706010644.CAA25479@smc.vnet.net>

On Jun 1, 2007, at 1:44 AM , David Park wrote:

> It is nice to see that the problem with adaptive point sampling  
> with LogLog
> or LogLinear plots was fixed in Version 6.0. Previously Mathematica
> drastically undersampled low values in the domain.
>
> LogLogPlot[Abs[10^2/((I*\[Omega])^2 + 100)], {\[Omega], 10^0, 10^8},
>  Mesh -> All]
>
> But there is still a problem when a specific set of Mesh points is
> requested.
>
> LogLogPlot[Abs[10^2/((I*\[Omega])^2 + 100)], {\[Omega], 10^0, 10^8},
>  Mesh -> 20]
>
> Although if one specifies Full, a uniform set of points is obtained.
>
> LogLogPlot[Abs[10^2/((I*\[Omega])^2 + 100)], {\[Omega], 10^0, 10^8},
>  Mesh -> Full]
>
> How would one obtain a uniformly spaced set of a specific number of  
> points?
>

Mesh -> 10, MeshFunctions->{Log[#1]&}

> Or points placed at specific values?

Mesh -> {10^Range[1, 7]}

(The LogPlot documentation should provide useful information, even  
for LogLogPlot and LogLinearPlot.)

Brett Champion
Wolfram Research


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