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I've found some python solutions to find the set of subsets for a given set,
but how do you find the set of the set of subsets whose union is the given
set and whose intersections is the empty set.
ie. Given a cake divided into 6 unique pieces (05), how many different ways
can I distribute the cake so that there are no pieces left. eg.
((0), (1,2,3,4))
or ((0),(1),(2,3,4))
or ((0,1),(2,3),(4))
or ((0,4),(1),(2,3))
Is there a name for this problem?
Cheers,
Brett

Brett Calcott
Philosophy Program, RSSS, ANU
Canberra, ACT 0200, AUSTRALIA  
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In article <ma************************************@python.org >,
"Brett Calcott" <br***@coombs.anu.edu.au> wrote: I've found some python solutions to find the set of subsets for a given set, but how do you find the set of the set of subsets whose union is the given set and whose intersections is the empty set.
ie. Given a cake divided into 6 unique pieces (05), how many different ways can I distribute the cake so that there are no pieces left. eg.
((0), (1,2,3,4)) or ((0),(1),(2,3,4)) or ((0,1),(2,3),(4)) or ((0,4),(1),(2,3))
Is there a name for this problem?
Partitions? Didn't we just have a discussion about them here a week or
two ago?
< http://groups.google.com/groups?thre...2936.25742.pyt ho******@python.org>

David Eppstein http://www.ics.uci.edu/~eppstein/
Univ. of California, Irvine, School of Information & Computer Science  
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google for Sterling numbers
"Brett Calcott" <br***@coombs.anu.edu.au> wrote in message
news:ma************************************@python .org...
 I've found some python solutions to find the set of subsets for a given set,
 but how do you find the set of the set of subsets whose union is the given
 set and whose intersections is the empty set.

 ie. Given a cake divided into 6 unique pieces (05), how many different ways
 can I distribute the cake so that there are no pieces left. eg.

 ((0), (1,2,3,4))
 or ((0),(1),(2,3,4))
 or ((0,1),(2,3),(4))
 or ((0,4),(1),(2,3))

 Is there a name for this problem?

 Cheers,
 Brett

 
 Brett Calcott
 Philosophy Program, RSSS, ANU
 Canberra, ACT 0200, AUSTRALIA



  
P: n/a

"Elaine Jackson" <el***************@home.com> wrote in message news:<zQZoc.474813$Ig.279550@pd7tw2no>... google for Sterling numbers
I'm pretty sure you mean "Stirling numbers". When I followed your
suggestion I got a lot of pages about businesses reporting "sterling
numbers" in their quarterly reports, and about marijuana, oddly
enough.   This discussion thread is closed Replies have been disabled for this discussion.   Question stats  viewed: 1621
 replies: 4
 date asked: Jul 18 '05
