RE: Incidence/frequency of numbers in lists

• To: mathgroup at smc.vnet.net
• Subject: [mg47625] RE: [mg47599] Incidence/frequency of numbers in lists
• From: "tgarza01 at prodigy.net.mx" <tgarza01 at prodigy.net.mx>
• Date: Sun, 18 Apr 2004 04:15:29 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

```Let x be your 455 x 24 matrix. Define the function

In[1]:=
moreThanTwo[x_List]:=Min[Count[x,#]&/@Range[1,6]]>2

Then apply as follows:

In[2]:=
Select[x,moreThanTwo[#]&]

This will produce the list you want. Try the example:

In[33]:=
ex=Table[Random[Integer,{1,6}],{455},{24}];

In[4]:=
Select[ex,moreThanTwo[#]&]

Tomas Garza
Mexico City

Original Message:
-----------------
To: mathgroup at smc.vnet.net
Subject: [mg47625] [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.

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```

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