#10716: Adding a weighted_degree function to Singular multivariate polynomials
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       Reporter:  jsrn                                            |         
Owner:  AlexGhitza      
           Type:  enhancement                                     |        
Status:  needs_review    
       Priority:  minor                                           |     
Milestone:                  
      Component:  algebraic geometry                              |    
Resolution:                  
       Keywords:  multivariate polynomials,degree,Singular        |   Work 
issues:                  
Report Upstream:  N/A                                             |     
Reviewers:  Marshall Hampton
        Authors:  Johan S. R. Nielsen, Luis Felipe Tabera Alonso  |     Merged 
in:                  
   Dependencies:                                                  |      
Stopgaps:                  
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Changes (by {'newvalue': u'Johan S. R. Nielsen, Luis Felipe Tabera Alonso', 
'oldvalue': u'Johan S. R. Nielsen'}):

  * status:  needs_work => needs_review
  * author:  Johan S. R. Nielsen => Johan S. R. Nielsen, Luis Felipe Tabera
             Alonso


Old description:

> Multivariate polynomials over the Singular interface have several degree
> methods but not a weighted_degree function, often used in certain
> branches of discrete mathematics. This should be implemented.
>
> '''Apply''' [attachment:trac_10716_adding_weighted_degree_v2.patch]

New description:

 Multivariate polynomials over the Singular interface have several degree
 methods but not a weighted_degree function, often used in certain branches
 of discrete mathematics. This should be implemented.

 '''Apply'''
 [attachment:trac_10716_adding_weighted_degree_alternative.patch]

--

Comment:

 I propose an alternative patch. It implements the weighted degree for all
 MPolynomial, not just Singular ones. It is also faster than the original
 patch. I think that, in general, it is better to use a polynomial ring
 with weighted degree if one is really interested so I have added a hint in
 the documentation.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10716#comment:12>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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