Re: Partition Function
- To: mathgroup at smc.vnet.net
- Subject: [mg57621] Re: Partition Function
- From: Paul Abbott <paul at physics.uwa.edu.au>
- Date: Thu, 2 Jun 2005 05:16:58 -0400 (EDT)
- Organization: The University of Western Australia
- References: <d7k3qf$ooq$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
In article <d7k3qf$ooq$1 at smc.vnet.net>, "Shug Boabby" <Shug.Boabby at gmail.com> wrote: > is there any way to get mathematica to return the actual partitions of > an integer? the only functions related to this, (e.g. > http://mathworld.wolfram.com/PartitionFunctionP.html) only return the > *number* of partitions, not the actual partititons (including > permutations) themselves. > > e.g. for 4, i'd like a function to return > {{1,1,1,1}, {2,1,1}, {1,2,1}, {1,1,2}, {3,1}, {2,2}, {1,3}, {4}} > > with the ordering of the partitions not being important << DiscreteMath` Flatten[Permutations /@ Partitions[4], 1] See also IntegerPartitions[4] Cheers, Paul -- Paul Abbott Phone: +61 8 6488 2734 School of Physics, M013 Fax: +61 8 6488 1014 The University of Western Australia (CRICOS Provider No 00126G) AUSTRALIA http://physics.uwa.edu.au/~paul http://InternationalMathematicaSymposium.org/IMS2005/