#18393: make Expression.series return an element of SR[[]]
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       Reporter:  rws          |        Owner:
           Type:  enhancement  |       Status:  new
       Priority:  major        |    Milestone:  sage-6.7
      Component:  calculus     |   Resolution:
       Keywords:               |    Merged in:
        Authors:               |    Reviewers:
Report Upstream:  N/A          |  Work issues:
         Branch:               |       Commit:
   Dependencies:               |     Stopgaps:
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Comment (by nbruin):

 Replying to [comment:5 rws]:
 > where does `sin(x)` coerce?
 > To `sin(R.0)`, where is the problem? Of course it would expand to
 > {{{
 > x - 1/6*x^3 + 1/120*x^5 - 1/5040*x^7 + 1/362880*x^9 - 1/39916800*x^11 +
 1/6227020800*x^13 - 1/1307674368000*x^15 + 1/355687428096000*x^17 -
 1/121645100408832000*x^19 + Order(x^20)
 > }}}
 That will be quite a bit of work to arrange, but that's not what I meant:
 What are the results of
 {{{
 SR[['x']]( sin(SR('x')) )
 SR[['x']]( sin(SR('y')) )
 }}}
 (the main part: how are you going to arrive at those results? I'm not
 saying it's impossible to come up with something satisfactory. Just that
 there's some non-trivial work to be done)

--
Ticket URL: <http://trac.sagemath.org/ticket/18393#comment:6>
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