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MathGroup Archive 1999

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Element Extraction

  • To: mathgroup at smc.vnet.net
  • Subject: [mg19240] Element Extraction
  • From: kewjoi at hixnet.co.za (Kew Joinery)
  • Date: Wed, 11 Aug 1999 02:06:52 -0400
  • Sender: owner-wri-mathgroup at wolfram.com

Hello everyone,
I have a problem extracting list of list.
Given some list, consisting of elements (not all of them distinct) with
the same length and some target list of the same length, for example:
In[26]:=
someList={{0,0,0},{0,0,1},{0,0,2},{0,1,0},{0,1,1},{0,1,2},{0,2,0},{0,2,1},{0,



2,2},{1,0,0},{1,0,1},{1,0,2},{1,1,0},{1,1,1},{1,1,2},{1,2,0},{1,2,1},{1,



2,2},{2,0,0},{2,0,1},{2,0,2},{2,1,0},{2,1,1},{2,1,2},{2,2,0},{2,2,1},{2,

      2,2}};

In[27]:=
target={0,0,1};

Hamming distance between two bit strings means the number of bit
positions in which they differ. For example consecutive elements of the
Gray code list have Hamming distance = 1.
I need to extract these cases(elements of someList) which differ from
target in one coordinate (Hamming distance = 1) or less (the
element===target itself//Hamming distance=0), so the answer should be:

In[33]:=
answer={{0,0,0},{0,0,1},{0,0,2},{0,1,1},{0,2,1},{1,0,1},{2,0,1}};

How could I achieve the extraction efficiently?
Thank you in advance for any suggestions.
Eugene






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