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MathGroup Archive 2004

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RE: Incidence/frequency of numbers in lists

  • To: mathgroup at smc.vnet.net
  • Subject: [mg47638] RE: [mg47599] Incidence/frequency of numbers in lists
  • From: "Wolf, Hartmut" <Hartmut.Wolf at t-systems.com>
  • Date: Tue, 20 Apr 2004 03:18:40 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

>-----Original Message-----
>From: Diana [mailto:diana53xiii at earthlink.remove13.net]
To: mathgroup at smc.vnet.net
>Sent: Saturday, April 17, 2004 8:32 AM
>To: mathgroup at smc.vnet.net
>Subject: [mg47638] [mg47599] Incidence/frequency of numbers in lists
>
>
>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.
>

Some methods proposed using Min Length /@ Split must be augmented when zero
occurrances were possible, e.g.:


Select[data, 
  And @@ Thread[Through[{Min, Length}[Length /@ Split[#]]] >= {3, 6}] &]


--
Hartmut Wolf


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