Re: Incidence/frequency of numbers in lists

*To*: mathgroup at smc.vnet.net*Subject*: [mg47620] Re: Incidence/frequency of numbers in lists*From*: "Carl K. Woll" <carlw at u.washington.edu>*Date*: Sun, 18 Apr 2004 04:15:17 -0400 (EDT)*Organization*: University of Washington*References*: <c5qj8m$fvs$1@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

Diana, Here is one possibility. In[7]:= lst={{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}}; In[8]:= Cases[lst,a_/;MatchQ[Split[a],{{_,_,__},{_,_,__},{_,_,__},{_,_,__},{_,_,__}, {_,_,__}}]] Out[8]= {{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, 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, 5, 5, 5, 6, 6, 6, 6}} Note the double dashes in the third entry of each sublist. If every single digit is always represented at least once, then you could simplify the above pattern to {{_,_,__}..} Carl Woll "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. >