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MathGroup Archive 2007

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LogPlot and Epilog

  • To: mathgroup at smc.vnet.net
  • Subject: [mg73547] LogPlot and Epilog
  • From: "ben" <benjamin.friedrich at gmail.com>
  • Date: Wed, 21 Feb 2007 01:55:55 -0500 (EST)

Dear group,

I want to add a bit of documention on LogPlot and Epilog,
since I haven't found anything about this in the group.

When you use Epilog/Prolog within LogPlot or LogLogPlot,
you have to take the logarithm with respect to base 10 of the
coordinates in your graphics primitives.
I found this a bit odd since PlotRange for example expects normal
coordinates.

Some examples are shown below

Bye
Ben

\!\(f[x_] := x\^3\[IndentingNewLine]
  \(LogPlot[
      f[x], {x, 0.1, 1.1}, \[IndentingNewLine]PlotRange -> {f[0.1],
1.3} //
        Evaluate, \[IndentingNewLine]Epilog -> {Red, \
\[IndentingNewLine]PointSize[
            0.05], \[IndentingNewLine]Point /@ \((\({#[\([\)\(1\)\(]
\)],
                    Log[10, #[\([\)\(2\)\(]\)]]} &\) /@ {{0.1,
f[0.1]}, {1,
                    f[1]}})\), \[IndentingNewLine]Line[\({#[\([\)\(1\)\
(]\)],
                  Log[10, #[\([2]\)]]} &\) /@ {{0.1, f[0.1]}, {1,
                  f[1]}}]}];\)\)

\!\(f[x_] := x\^3\[IndentingNewLine]
  \(LogLogPlot[
      f[x], {x, 0.1, 1.1}, \[IndentingNewLine]PlotRange -> {f[0.1],
1.3} //
        Evaluate, \[IndentingNewLine]Epilog -> {Red, \
\[IndentingNewLine]PointSize[
            0.05], \[IndentingNewLine]Point /@ \((\(Log[10, #] &\) /@
{{0.1,
                    f[0.1]}, {1, f[1]}})\), \[IndentingNewLine]Line[\
(Log[
                  10, #] &\) /@ {{0.1, f[0.1]}, {1, f[1]}}]}];\)\)



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