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