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I'd like to plot two functions, say, 

Plot[{1 + Sin[x]/4, 10 + Cos[x]/4}, {x, 0, 10}, Frame -> True]

enter image description here

Since their amplitudes are really small, I'd like to crop the picture in such a way that I can cut off the empty part of the picture.

Usually I use the following workaround 

exp2a = Plot[1 + Sin[x]/4, {x, 0, 10}, PlotStyle -> Red, 
   Frame -> True, FrameTicks -> {Range[0, 10], True, False, False}, 
   AspectRatio -> .5/GoldenRatio, ImagePadding -> {{25, 2}, {15, 2}}];
exp2b = Plot[10 + Cos[x]/4, {x, 0, 10}, PlotStyle -> Blue, 
   Frame -> True, FrameTicks -> {False, True, Range[0, 10], False}, 
   AspectRatio -> .5/GoldenRatio, ImagePadding -> {{25, 2}, {2, 15}}];
exp2 = Column[{exp2b, exp2a}, Spacings -> 0]

enter image description here

And, of course, it works. The problem arises when I need to set the labels as I'd have to use something like Row and Column (it's really nasty, I'm not going to post it:-).

My question is as follows: is it possible to crop the irrelevant part of a picture in a more straighforward way? It'd be great if somehow the labeling could be done in a simple manner.

Below you can find a picture roughly describing the idea (I apologize for the poor quality). Well, here we have different a log scale and a normal scale (ote the change of ticks on the horisontal axis) but clealy it's a combination of two plot regions.

enter image description here

In general, it would be great, if something like this could work on the vertical lines as well.

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    $\begingroup$ Perhaps you could use this mathematica.stackexchange.com/q/627/193 $\endgroup$ – Dr. belisarius Oct 13 '14 at 14:36
  • $\begingroup$ Well, ok, this is a solution i was aware of as well. The point is that this method is like the last resort (at least in my case). I believe that the picture is not as clear as stacked plots. $\endgroup$ – Gregory Rut Oct 13 '14 at 14:45
  • $\begingroup$ There was another question about cropped axes, but I can't find it now. I can't remember the keyword (it wasn't "cropped") $\endgroup$ – Dr. belisarius Oct 13 '14 at 15:08
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    $\begingroup$ Perhaps this mathematica.stackexchange.com/questions/8241/… $\endgroup$ – Dr. belisarius Oct 13 '14 at 15:10
  • $\begingroup$ This looks what I was looking for. I'm not sure about the labeling but I think I can work with it. Thank you! $\endgroup$ – Gregory Rut Oct 13 '14 at 15:16

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