#13243: new methods for compositions
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   Reporter:  saliola        |             Owner:  sage-combinat                
                             
       Type:  enhancement    |            Status:  new                          
                             
   Priority:  major          |         Milestone:  sage-5.3                     
                             
  Component:  combinatorics  |          Keywords:  compositions, ncsf, sd40     
                             
Work issues:                 |   Report Upstream:  N/A                          
                             
  Reviewers:  Chris Berg     |           Authors:  Franco Saliola, Nicolas 
Thiery, Florent Hivert, Chris Berg
  Merged in:                 |      Dependencies:                               
                             
   Stopgaps:                 |  
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 new functionality for the composition constructor:

 - construct a composition from a subset


 new functionality for compositions:

 - parent -- returns Compositions()
 - reversed - reverses
 - refinement_splitting
 - refinement_splitting_lengths(self, J):
 - partial_sums(self, final=True):
 - to_subset(self, final=False):
 - to_partition(self):
 - shuffle_product(self, other, overlap=False):


 new functionality for the set of all compositions:

 - put it in the category of {{{GradedEnumeratedSets}}}
 - subset method to extract subsets of composition (by size)

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13243>
Sage <http://www.sagemath.org>
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