Re: Incidence/frequency of numbers in lists

• To: mathgroup at smc.vnet.net
• Subject: [mg47761] Re: Incidence/frequency of numbers in lists
• From: "Steve Luttrell" <steve_usenet at _removemefirst_luttrell.org.uk>
• Date: Mon, 26 Apr 2004 02:40:51 -0400 (EDT)
• References: <c5qj8m\$fvs\$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```You need to use a pattern containing Repeated pieces.

Define a list to work with.

x = {{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}};

Filter using the appropriate pattern

Cases[x, p : {1, 1, (1) .., 2, 2, (2) .., 3, 3, (3) .., 4, 4, (4)
..., 5, 5, (5) .., 6, 6, (6) ..}]

A shorter version of the same thing.

Cases[x, p : Flatten[Table[{i, i, (i) ..}, {i, 6}]]]

Steve Luttrell

"Diana" <diana53xiii at earthlink.remove13.net> wrote in message
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.
>

```

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