> Hmmm. For the life of me I can't see how this would alter the
> physical scale of the X axis. That is, at one level it sounds to me
> like "the x axis is a consistent log scale running up to 100, as
> opposed to, say, stopping at 10". Yet the problem description we
> now have sounds like "the x axis is two independent log scales,
> covering different parts of the x world, with different scaling".
>
> It's bridging that gap in understanding that I'm having troubles
> with...
Well - it _IS- a "consistent log scale".
In particular if for axis points x1 x2 1cm apart you have x1=k(x2)
then for ANY other axis points x3, x4 also 1cm apart you also
have x3=k(x4) (same k)
_BUT_ what's different in each cycle is how the labelling works
because - for example - if the axis runs from 1 to 100 the first
"half" will cover [1,10) and the 2nd "half" will cover [10,100)
so the labelling on the 2nd "half" will be 10 times the labelling
on the 1st half. And the meaning of each "tick" will be 10 times
larger in the 2nd half as the first half. This is necessary
because on the [10,100) interval the lines representing "1" would
be too close together.
But - aside from this - you can consider the whole axis from 1-100
as a continuous log scale.
again FWIW
-ns
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