#15074: Allowing 'textbook style' derivative output from pynac
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       Reporter:  mbejger      |        Owner:
           Type:  enhancement  |       Status:  new
       Priority:  major        |    Milestone:  sage-5.12
      Component:  symbolics    |   Resolution:
       Keywords:               |    Merged in:
        Authors:               |    Reviewers:
Report Upstream:  N/A          |  Work issues:
         Branch:               |       Commit:
   Dependencies:               |     Stopgaps:
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Comment (by nbruin):

 I think this has been proposed before. The problem is that there is not
 enough information available to use Leibniz notation. Consider the
 following examples and decide
 {{{
 sage: var("x,y,u,v")
 sage: function('f')
 sage: ddf=f(x,y).diff(x,y).operator()
 sage: ddf(x^2+y^2,x-y)   ## 1
 D[0, 1](f)(x^2 + y^2, x - y)
 sage: ddf(v,u)           ## 2
 D[0, 1](f)(v, u)
 sage: ddf(x,x^2+y)           ## 3
 D[0, 1](f)(x, x^2+y)
 }}}
 I think Maple uses Leibniz notation if it applies (i.e., all parameters
 are distinct pure variables) and reverts to operator (Euler?) notation
 otherwise; also indexed by parameter position rather than name.

--
Ticket URL: <http://trac.sagemath.org/ticket/15074#comment:1>
Sage <http://www.sagemath.org>
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