#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   |    Keywords:  multivariate 
polynomials,degree,Singular
     Author:  Johan S. R. Nielsen  |    Upstream:  N/A                          
           
   Reviewer:                       |      Merged:                               
           
Work_issues:                       |  
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Changes (by jsrn):

  * status:  new => needs_review


Comment:

 I have implemented the best I could easily do. I am sure that by utilising
 Singular, one can make a much faster implementation of weighted_degree;
 indeed, as far as I could gather, Singular has weighted degree
 functionality as part of the deg()-function, but I don't have the
 prerequisites for writing this code.

 The patch I have uploaded uses Sage methods to iterate through all
 monomials of the polynomial, calculating each one's weighted degree, and
 selects the maximal of these.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10716#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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