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Plotting f[x] as below

 f[x_] = 4.4978`/x^2 - 1.9057/x + 1000 x + 10 x^2;
LogLogPlot[{(f[x])^(-1/2)}, {x, 0, 1}, Frame -> True, 
 LabelStyle -> {16, FontFamily -> "Times"}, ImageSize -> 350]

leads to the following plot

enter image description here

How can one show the points on the horizontal axis in a non-congested way?

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1 Answer 1

Reset to default
5
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scaledTicks = Charting`ScaledTicks[{Log, Exp}];
scaledTicksNoLabels = Charting`ScaledFrameTicks[{Log, Exp}];

llp = LogLogPlot[{(f[x])^(-1/2)}, {x, 0, 1}, Frame -> True, 
   LabelStyle -> {16, FontFamily -> "Times"}, ImageSize -> 350];

llp2 = Show[llp, 
   FrameTicks -> 
   {{scaledTicks, scaledTicksNoLabels}, 
    {scaledTicks[##] /. {a_Real, n_, b___} :> {a, Rotate[n, -90 Degree], b} &,
     scaledTicksNoLabels}}];

Row[{llp, llp2}, Spacer[20]]

enter image description here

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3
  • $\begingroup$ In the plot on the right, on the $x-$axis, why are the first and last numbers not rotated? Is that a desired feature? $\endgroup$
    – mjw
    Commented May 31, 2023 at 12:52
  • $\begingroup$ @mjw, updated with a fix. $\endgroup$
    – kglr
    Commented May 31, 2023 at 18:57
  • $\begingroup$ Thank you!${}{}{}{}{}$ $\endgroup$
    – mjw
    Commented May 31, 2023 at 22:27

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