#9877: Add is_sturmian_factor, is_tangent methods for finite words
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   Reporter:  tmonteil       |       Owner:  tmonteil  
       Type:  enhancement    |      Status:  needs_work
   Priority:  major          |   Milestone:  sage-4.6  
  Component:  combinatorics  |    Keywords:            
     Author:                 |    Upstream:  N/A       
   Reviewer:                 |      Merged:            
Work_issues:                 |  
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Comment(by tmonteil):

 Replying to [comment:2 abmasse]:
 >  1. Could you add a reference where one can find the proof that a word
 is finite sturmian if and only if you can desubstitute it to the empy
 word?

 Sure. This is a well known result (though there are many variants of this
 idea, i do not know whether this exact one is written somewhere), but i
 will add at least in the Arnoux chapter of the Pytheas Fogg book. I guess
 i will also add a reference to a recent article of Smillie and Ulcigrai
 which explains this in a nice way.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9877#comment:5>
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