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Re: Different scales on the same axis

  • To: mathgroup at
  • Subject: [mg122042] Re: Different scales on the same axis
  • From: "David Park" <djmpark at>
  • Date: Mon, 10 Oct 2011 04:28:15 -0400 (EDT)
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  • References: <12270078.43173.1318144055740.JavaMail.root@m06>

With the Presentations application there is a simple solution. (I'm not
certain why you went with a ListLinePlot here since you have simply defined
functions. I'm going to use Draw which corresponds to Plot.)

We Rescale x in f1 so that {-200,0} is mapped to {-800,0}. We then define
CustomTicks for the lower x axis with the inverse scaling. These ticks will
only show on the lhs of the lower horizontal edge of the frame and the rhs
will be empty of ticks. We then design normal scale ticks for the upper x
side and these only show on the rhs. 

It would be somewhat more difficult to get both scales on the lower frame
and the viewer might miss the change of scale. Putting the two scales on the
lower and upper sides of the frame makes it clearer that they are different

<< Presentations` 

x1ticks = 
  CustomTicks[Rescale[#, {-800, 0}, {-200, 0}] &, {-800, 0, 200, 4}];
x2ticks = CustomTicks[Identity, {0, 200, 50, 5}];
 {Draw[f1[Rescale[x, {-200, 0}, {-800, 0}]], {x, -200, 0}],
  Draw[f2[x], {x, 0, 200}]},
 AspectRatio -> 1/2,
 Frame -> True,
 FrameTicks -> {{Automatic, Automatic}, {x1ticks, x2ticks}}]

David Park
djmpark at  

From: Luiz Melo [mailto:lmelo at] 

Hi all,
I have two different functions: f1 defined in the range -800<x<0, and f2 in
the range 0<x<200. The graphics of f1 and f2 in the same plot could be done,
for instance, with (I'm using version

f1[x_] := Sin[x Degree];
t1 = {#, f1[#]} & /@ Range[-800, 0, 5];
f2[x_] := 2 Sin[x Degree]*Exp[-x/100];
t2 = {#, f2[#]} & /@ Range[0, 200, 5];
ListLinePlot[{t1, t2}, PlotRange -> {{-800, 200}, {-1.1, 1.1}}, PlotStyle ->
Thick, Frame -> True, AspectRatio -> .5]

How can I "squeeze" the x axis of the plot of f1 (-800<x<0) to have the
center of the coordinates (0,0) exactly at the middle of the plot frame?

Thank you.

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