#6636: Simplification of factorials and binomial coefficients is not very good
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 Reporter:  jbandlow     |       Owner:                                         
     
     Type:  enhancement  |      Status:  new                                    
     
 Priority:  major        |   Milestone:  sage-4.1.2                             
     
Component:  symbolics    |    Keywords:  symbolics, factorials, binomial 
coefficients
 Reviewer:               |      Author:                                         
     
   Merged:               |  
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Comment(by kcrisman):

 A related discussion on sage-devel is [http://groups.google.com/group
 /sage-devel/browse_thread/thread/58db110fc55b11e5].

 The lack of simplification is a bug, or at least very poorly exposed
 functionality, in Maxima.  One would think that simplify would include
 this... but instead one needs to expose Maxima's *minfactorial*:
 {{{
 (%i1) fullratsimp(factorial(n)/factorial(n-1));
                                       n!
 (%o1)                              --------
                                    (n - 1)!
 (%i2) minfactorial(factorial(n)/factorial(n-1));
 (%o2)                                  n
 }}}
 This should not be hard to add to simplify_full, though.

 Also note that the last issue is addressed by #6197.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6636#comment:2>
Sage <http://sagemath.org/>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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