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MathGroup Archive 2004

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Re: ploting in high dimensions

  • To: mathgroup at smc.vnet.net
  • Subject: [mg49212] Re: [mg49206] ploting in high dimensions
  • From: Andrzej Kozlowski <akoz at mimuw.edu.pl>
  • Date: Thu, 8 Jul 2004 02:50:45 -0400 (EDT)
  • References: <200407070542.BAA25037@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

On 7 Jul 2004, at 14:42, sean kim wrote:

> *This message was transferred with a trial version of CommuniGate(tm) 
> Pro*
>
> Hello group,
>
> I was wondering...
>
> let's say you have a 10 variable system.
>
> now i want to define the 10 axes for the variable like a spokes of 
> bicycle wheel.
>
> so you get 10 spokes emamanting out from the origin equally spaced.
>
> now plot the 10 variable on that space.
>
> is that doable or am i being too hopeful?
>
> If you Have to do something like this what would you all do?
>
> Thanks in advance for any thoughts or insights.
>
> Sean
>
>

In principle this can be done but to what purpose? You would get a 
phenomenally misleading picture, no better than projecting three 
dimensional solid onto a line.  There would all sorts of horrible 
intersections and singularities even in a representation of a smooth 
manifold. In my opinion this would be far worse than not having any 
picture at all. Actually, in some situations it is helpful to represent 
a number of parameters as one on a single axis, but you need a good 
insight into the situation to decide when this will be useful and which 
parameters should be groped together. But any such thing has to be very 
much tailored to a specific problem.

Andrzej Kozlowski


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