#1956: implement multivariate power series arithmetic
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   Reporter:  was                                                               
                   |       Owner:  pernici                  
       Type:  enhancement                                                       
                   |      Status:  needs_review             
   Priority:  major                                                             
                   |   Milestone:  sage-4.6.1               
  Component:  commutative algebra                                               
                   |    Keywords:  multivariate power series
     Author:  Niles Johnson                                                     
                   |    Upstream:  N/A                      
   Reviewer:  Martin Albrecht, Simon King                                       
                   |      Merged:                           
Work_issues:  multivariate series on 1 generator should remain different from a 
univariate series  |  
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Comment(by pernici):

 Hi Niles,
 I agree that it has some advantages to keep the same random_element as for
 polynomials;
 at least it is well defined mathematically in terms of sets of monomials.

 >am I right to guess that you want to use the random elements to test your
 multiplication code?

 Yes, my motivation for using random polynomials was for benchmarking
 multiplication;
 when I found out that random_element generates typically series without
 low order terms
 I replaced it with a generator which gave them.

 >Or maybe you have a different reason to think about random_element?
 No.

 Mario

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/1956#comment:75>
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