#17659: make symbolic series subclass of Expression
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       Reporter:  rws    |        Owner:
           Type:         |       Status:  needs_review
  enhancement            |    Milestone:  sage-6.5
       Priority:  major  |   Resolution:
      Component:         |    Merged in:
  symbolics              |    Reviewers:
       Keywords:         |  Work issues:
        Authors:  Ralf   |       Commit:
  Stephan                |  a4d2084a82b5f9e2ec3d43472181fccf42a19251
Report Upstream:  N/A    |     Stopgaps:
         Branch:         |
  u/rws/17659            |
   Dependencies:         |
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Comment (by nbruin):

 I have nothing invested in how symbolics and series interact, but I see
 some immediate problems that would arise from subclassing Expression for a
 Series type:
  - when does a !SymbolicSeries expression get created? The problem is that
 the !SymbolicRing by itself is a rather untyped environment, so how do you
 know that an object needs to be made in this specialized class
  - How do !SymbolicSeries in different variables interact, e.g.:
 {{{
 F = (1/(x+1))*y+sin(x)*y^2+O(y^3)
 G = (y/(y^2-2)*x + cos(y)*x^2 +O(x^3)
 F+G
 }}}
 Is the result a series? If so, in which variable(s)? One solution would be
 a SymbolicSeriesRing as a parent, which declares in what variables the
 series are. I suspect this would be nearly useless for whatever problem
 the current design tries to solve, though.

--
Ticket URL: <http://trac.sagemath.org/ticket/17659#comment:3>
Sage <http://www.sagemath.org>
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