Re: Undesired horizontal line in Plot / Bug?
- To: mathgroup at smc.vnet.net
 - Subject: [mg118156] Re: Undesired horizontal line in Plot / Bug?
 - From: Albert Retey <awnl at gmx-topmail.de>
 - Date: Thu, 14 Apr 2011 07:08:33 -0400 (EDT)
 - References: <io6cv7$doh$1@smc.vnet.net>
 
Hi,
> A phenomenon that occasionally also occurs in other plots
> can be exemplified by setting
>
> fD[n_, cZ_] := 137^2/Sqrt[1 + cZ^2/(137*n + Sqrt[137^2 - cZ^2])^2];
>
> and plotting, e.g.,
>
> Plot[{fD[1, z], fD[5, z]}, {z, 1, 137}, Frame ->  True,
>   PlotRange ->  Automatic]
>
> There is a horizonal line visible (parallel to the abscissa)
> that should not be there!! In fact, other plots like, e.g.,
>
> Plot[{fD[1, z], fD[2, z]}, {z, 1, 137}, Frame ->  True,
>   PlotRange ->  Automatic]
>
> look fine, without this annoying additional line. Unfortunately,
> I could not find a way to remove or suppress this unwanted
> horizontal line in the first plot. Moreover, I observed this
> effect in all versions of Mathematica I have access to at the
> moment, i.e., four, six, and seven, and it makes me wonder
> whether this is a yet unresolved bug.
> Thus I would be very grateful for any hints on the questions
>
>    - whether this horizontal line also occurs in the
>      current Mathematica 8.0 ?
it does not appear there..
>    - is there any remedy to prevent the line from being
>      plotted or to remove it from the plot?
>
> P.S.: If plotted without Frame, then this line does not
>   occur, but apparently at its position the new abscissa
>   is placed
you were almost there: if you say Frame->True, that does not 
automatically mean Axes->False, so depending on some heuristics a axes 
might be drawn or not. That is what you see in older versions, but even 
there you can avoid the axes explicitly:
Plot[{fD[1, z], fD[5, z]}, {z, 1, 137}, Frame -> True,
  PlotRange -> Automatic,
  Axes -> False]
hth,
albert