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MathGroup Archive 2007

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Re: weird behavior when plotting multiple functions in 6.0

  • To: mathgroup at smc.vnet.net
  • Subject: [mg76105] Re: weird behavior when plotting multiple functions in 6.0
  • From: "Rolf.Mertig at gmail.com" <Rolf.Mertig at gmail.com>
  • Date: Wed, 16 May 2007 05:34:01 -0400 (EDT)
  • References: <f2btov$iga$1@smc.vnet.net>

f[x_] = {Sin[x], Cos[x]};
Plot[Evaluate[f[x]], {x, 0, 4*Pi}]

or, maybe better, use:

Plot[f[x], {x, 0, 4*Pi}, Evaluated -> True]

Of course you can also put something like
SetOptions[Plot, Evaluated -> True];
into your init.m file and then it is always set.

There seem to be important arguments to let Mathematica 6 interpret
the default setting of the functions
 {ContourPlot, ContourPlot3D, DensityPlot, FindRoot, ParametricPlot,
 ParametricPlot3D, Plot, Plot3D, RegionPlot, RegionPlot3D},
Evaluated -> Automatic
as equivalent to Evaluated -> False..
It looks to me (with some experience of trying to teach the Evaluate -
and
Hold*-Attribute issues to new users), that an interpretation of
Evaluated -> Automatic
as Evaluated -> True would be less confusing.
But probably it would sacrifice performance in some situations.
I do  not know. I did ask WRI about this some months ago, and tried to
argue
that Evaluated -> True would be more convenient for the majority of
users,
but did not get an answer, unfortunately, yet.
I am sure there are good reasons for the current setting!

Rolf Mertig
GluonVision GmbH, Berlin, Germany
http://www.gluonvision.com



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