#16561: Derivations for separable function fields
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       Reporter:  saraedum           |        Owner:
           Type:  enhancement        |       Status:  needs_work
       Priority:  minor              |    Milestone:  sage-6.4
      Component:  commutative        |   Resolution:
  algebra                            |    Merged in:
       Keywords:  sd59               |    Reviewers:  Vinent Delecroix
        Authors:  Julian Rueth       |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  ac8427a78a3db9f82f83b1fd2f0c5d75d3035c12
  u/saraedum/ticket/16561            |     Stopgaps:
   Dependencies:  #16518             |
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Changes (by vdelecroix):

 * status:  needs_review => needs_work
 * reviewer:   => Vinent Delecroix
 * work_issues:  BuildFailed =>


Comment:

 Hello Julian,

 It seems that the only derivation you are testing is `y^2 - x`. I have
 nothing against the square root but it would be cool to have a bit more
 diversity in the doctests. And it would be cool to have somewhere non
 trivial examples of
 {{{
 sage: d(p+q) == d(p) + d(q)
 True
 sage: d(p*q) == d(p)*q + p*d(q)
 True
 }}}

 In the `ALGORITHM` block, I would rather use `formula` instead of
 `algorithm`. And you mentioned the non-separable case that this ticket is
 not about.

 Beyond documentation, everything looks good to me.

 Vincent

--
Ticket URL: <http://trac.sagemath.org/ticket/16561#comment:10>
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