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Re: Incidence/frequency of numbers in lists

  • To: mathgroup at smc.vnet.net
  • Subject: [mg47622] Re: Incidence/frequency of numbers in lists
  • From: "Peter Pein" <petsie at arcor.de>
  • Date: Sun, 18 Apr 2004 04:15:20 -0400 (EDT)
  • References: <c5qj8m$fvs$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

"Diana" <diana53xiii at earthlink.remove13.net> schrieb im Newsbeitrag
news:c5qj8m$fvs$1 at smc.vnet.net...
> Hi math folks,
>
> I have a 24 - 455 table. I have named the table SortedEdgeSet.
>
> The first few lines look like the following:
>
> {{1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6},
> {1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6},
> {1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6},
> {1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6},
> {1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6},
> {1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6},
> {1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6,
6},...
>
> The numbers 1 - 6 are listed 24 times in each of 455 sublists.
>
> I would like to create a new table which does not contain the sublist
> members which have two or fewer occurances of any of the six numbers in
the
> sublist. I only want sublists which have three or more of each of the
> numbers.
>
> So, for example, I would want to exclude the second sublist line:
>
> {1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6},
> because it only has two 6's in it.
>
> I don't know what an occurance function might be in Mathematica. Can
anyone
> help?
>
> Thanks,
>
> Diana M.
> -- 
> =====================================================
> "God made the integers, all else is the work of man."
> L. Kronecker, Jahresber. DMV 2, S. 19.
>

Diana,

Select[SortedEdgeSet, Min[Length /@ Split[#1]] >= 3 & ]

splits each row in e.g. {{1,1,1,1,1},{2,2,2,2,2},..,{6,6}},
calculates the length of each sublist {5,5,...,2},
takes the minimum 2,
takes this value to decide whether the row will be selected or not
and finally returns the list of selected rows.

-- 
Peter Pein, Berlin
to write to me, start the subject with [




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