#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:  sage-6.3
      Component:  algebraic          |   Resolution:
  geometry                           |    Merged in:
       Keywords:  multivariate       |    Reviewers:  Marshall Hampton
  polynomials,degree,Singular        |  Work issues:
        Authors:  Johan S. R.        |       Commit:
  Nielsen, Luis Felipe Tabera        |  811b79657358bcc6c1201715cd35ffab9a42e346
  Alonso                             |     Stopgaps:
Report Upstream:  N/A                |
         Branch:                     |
  u/lftabera/weighted_degree         |
   Dependencies:                     |
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Comment (by john_perry):

 Replying to [comment:35 lftabera]:
 > Do you mean comparing the cost of weighted_degree with
 addition/multiplication?

 I mean comparing the cost of, say, addition in a ring with Integer
 weighted orders vs. addition in a ring with int weighted orders. Use the
 same polynomials in the same base field. Then try with multiplication.

 I have no particular ring in mind; I'm curious about all the "usual"
 rings: QQ['''x'''], '''F''',,''p'',,['''x'''], etc.

 > I expect that addition can be in fact faster that weighted degree for
 "nice" rings and multiplication will be much slower.

 Why?

--
Ticket URL: <http://trac.sagemath.org/ticket/10716#comment:36>
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