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Re: Clever Tricky Solutions

• To: mathgroup at smc.vnet.net
• Subject: [mg94412] Re: Clever Tricky Solutions
• From: Helen Read <read at math.uvm.edu>
• Date: Fri, 12 Dec 2008 06:55:19 -0500 (EST)
• References: <27271771.1228394784179.JavaMail.root@m02> <ghavpg$o9j$1@smc.vnet.net> <200812081122.GAA15823@smc.vnet.net> <ghlmek$k3a$1@smc.vnet.net> <200812100949.EAA00324@smc.vnet.net> <ghqjql$10a$1@smc.vnet.net>

Brett Champion wrote:
> On Dec 10, 2008, at 3:49 AM , Helen Read wrote:
> 
>> Brett Champion wrote:
>>> so I don't think Show has changed much if at all.
>> Actually, it has changed substantially.
>>
>> Try this in V5 and V7.
>>
>> p1 = Plot[x^2, {x, -3, 3}];
>> p2 = Plot[-Abs[x - 5], {x, -10, 10}];
>> Show[{p1, p2}]
>>
>> And compare Show[{p2,p1}]
>>
>> Prior to V6, Show did a decent job of combining PlotRanges  
>> automatically
>> by default.
> 
> *Show* did not change.
> 
> The output of a typical Plot in V5 used, either implicitly or  
> explicitly, PlotRange->Automatic.  When you combine these sorts of  
> graphics with Show, you end up with another graphic with PlotRange- 
>  >Automatic, and everything works fine.  But that PlotRange->Automatic  
> that Show is using for the combined graphic is coming from the plots,  
> not from Show.
> 
> The output of a typical Plot in V6/7 turns the default setting of  
> PlotRange->Automatic into an explicit PlotRange->{{xmin, xmax},{ymin,  
> ymax}} for reasons I explained yesterday.  When you combine these  
> sorts of graphics with Show, it uses the first PlotRange for the  
> combined graphic.  (Likewise for other options like Axes and  
> AxesOrigin.)

Um, OK. So Show did not change, but due to other changes, the *result* 
of Show has changed.

So what happens in V6/7 when we set PlotRange->Automatic within Show? 
And why is this not the default behavior for Show?

> And just because something is behaving as designed doesn't mean it  
> can't be improved. :-)

Fair enough.

--
Helen Read
University of Vermont

• References:
  • Re: Clever Tricky Solutions
    • From: congruentialuminaire@yahoo.com
  • Re: Clever Tricky Solutions
    • From: Helen Read <hpr@together.net>