On Tue, Mar 20, 2012 at 10:13 PM, Dan Drake <dr...@kaist.edu> wrote:

> plot(sqrt(2*x^2-3)/(5*x-2), (x,-10,10),ymin=-5,ymax=5)
>
> merrily plots points when the numerator is imaginary:
>
>
> http://aleph.sagemath.org/?z=eJwryMkv0SguLCrRMNKqiDPSNdbU1zDVqtA10tRR0KjQ0TU00DE00NSpzM3Ms9U1BdKJFbammgCoDQ7n
>
> I don't mind that it complains about failing to evaluate the function,
> but the plot is totally wrong. I want something more like:
>
> http://www.google.com/#q=sqrt(2*x%5E2-3)/(5*x-2)<http://www.google.com/#q=sqrt%282*x%5E2-3%29/%285*x-2%29>
>
>
> Dan
>
>
Hi Dan,

It looks to me like a line is being drawn across the gap in the domain. You
can verify that this is what's going on if you do something like:

plot(sqrt(2*x^2-3)/(5*x-2), (x,-10,10),ymin=-5,ymax=5,linestyle="none",
marker=".")

This is the same artifact that you run into when plotting over a vertical
asymptote on most graphing calculators, you get a (nearly) vertical line
drawn because the plotter is joining computed points with lines. It would
be nice to add a feature like the `detect_poles` option where the domain
could be detected better.

--
Benjamin Jones
<benjaminfjo...@gmail.com>

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