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MathGroup Archive 1996

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Re: array ordered

  • Subject: [mg3198] Re: array ordered
  • From: espen.haslund at fys.uio.no (Espen Haslund)
  • Date: 18 Feb 1996 01:21:19 -0600
  • Approved: usenet@wri.com
  • Distribution: local
  • Newsgroups: wri.mathgroup
  • Organization: Universitet i Oslo
  • Sender: daemon at wri.com

In article <4fpdl6$f9r at dragonfly.wolfram.com>, 
wagner at bullwinkle.cs.Colorado.EDU says...
;>
;>I'll give a solution using only the first 3 thicknesses as an example,
;>to save space.  The code should work for the longer list as well.
;>
;>thick={0.48,0.71,1.41};
;>
;>Outer[List, ##]& @@ Table[{0,1}, {Length[thick]}]
;>{{{{0, 0, 0}, {0, 0, 1}}, {{0, 1, 0}, {0, 1, 1}}}, 
;>  {{{1, 0, 0}, {1, 0, 1}}, {{1, 1, 0}, {1, 1, 1}}}}
;>
;>Flatten[%, Length[thick]-1]
;>{{0, 0, 0}, {0, 0, 1}, {0, 1, 0}, {0, 1, 1}, 
;>  {1, 0, 0}, {1, 0, 1}, {1, 1, 0}, {1, 1, 1}}
;>
;>combos = Drop[%, 1]
;>{{0, 0, 1}, {0, 1, 0}, {0, 1, 1}, {1, 0, 0}, 
;>  {1, 0, 1}, {1, 1, 0}, {1, 1, 1}}
;>
;>{#.thick, #}& /@ combos
;>{{1.41, {0, 0, 1}}, {0.71, {0, 1, 0}}, {2.12, {0, 1, 1}}, {0.48, {1, 0, 
0}}, 
;>  {1.89, {1, 0, 1}}, {1.19, {1, 1, 0}}, {2.6, {1, 1, 1}}}
;>
;>Sort[%]
;>{{0.48, {1, 0, 0}}, {0.71, {0, 1, 0}}, {1.19, {1, 1, 0}}, {1.41, {0, 0, 
;1}}, 
;>  {1.89, {1, 0, 1}}, {2.12, {0, 1, 1}}, {2.6, {1, 1, 1}}}

Hi, 

Your solution is obviously more elegant and general than my attempt.
However the combos are perhaps more easily obtained by:

combos = Map[IntegerDigits[#,2,Length[thick] ]&,Range[2^Length[thick]-1] ] 


- Espen




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