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MathGroup Archive 2006

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when dimension increases

  • To: mathgroup at smc.vnet.net
  • Subject: [mg67531] when dimension increases
  • From: "Arkadiusz Majka" <Arkadiusz.Majka at telekomunikacja.pl>
  • Date: Fri, 30 Jun 2006 04:13:52 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

Imagine that I want to sort (or do anything else) a list

list={5,2,8,3}

So I use Sort[list]

Next I add next dimension and obtain a list listNew=Table[list,{5}]

In order to sort all sublists of it  it I use Map[Sort, listNew]

Now I add another more dimension listNew1=Table[list, {3},{5}]

I can again sort all sublists of it using combination of Table and Map.

The question is the following:

How can I deal with expresions of unknown a priori dimension? For
example what is the most elegant (clear and fast) method of sorting all
sublists of multidimensional expresion? I would like to avoid Table and
unclear expresions with many "Maps" (one embeded in another).

Thanks for your help,

Arek


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