#18617: Implement polynomial number_of_terms method (and deprecate 
hamming_weight)
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       Reporter:  bruno              |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.8
      Component:  commutative        |   Resolution:
  algebra                            |    Merged in:
       Keywords:  polynomial         |    Reviewers:
        Authors:  Bruno Grenet       |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  60ee12ccb9e642959b02199d3cec81126fff64aa
  u/bruno/hamming_weight_number_of_terms|     Stopgaps:
   Dependencies:                     |
-------------------------------------+-------------------------------------

Comment (by bruno):

 Replying to [comment:10 jdemeyer]:
 > There is no fundamental reason to restrict to `GF(2)`. I think that
 "weight" is simply ''used'' more rarely for other rings besides `GF(2)`.

 I agree with that, my only point is to know whether people actually use
 the different possible names.

 With a search on Google for "polynomial weight", most results are about
 polynomials over `GF(2)`, the few others concern more generally
 polynomials over `GF(q)`. And furthermore, the thematic of the papers are
 either irreducibility of polynomials or polynomials related to error-
 correcting codes.

 With a search for "polynomial sparsity", most papers are complexity theory
 paper on learning polynomials.

 All I say is that though "weight" may be standard in some domains, it is
 not in other ones. That's why I prefer "number of terms" that I expect to
 be clear for everyone.

--
Ticket URL: <http://trac.sagemath.org/ticket/18617#comment:12>
Sage <http://www.sagemath.org>
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