#10897: implement AlgebraicConverter.symbolic()
-----------------------------+--------------------------
       Reporter:  rbeezer    |        Owner:  robertwb
           Type:  defect     |       Status:  needs_work
       Priority:  minor      |    Milestone:  sage-6.3
      Component:  symbolics  |   Resolution:
       Keywords:             |    Merged in:
        Authors:             |    Reviewers:
Report Upstream:  N/A        |  Work issues:
         Branch:             |       Commit:
   Dependencies:             |     Stopgaps:
-----------------------------+--------------------------
Changes (by rws):

 * status:  needs_review => needs_work
 * component:  coercion => symbolics
 * milestone:  sage-duplicate/invalid/wontfix => sage-6.3


Old description:

> {{{
> sage: QQbar(sqrt(2))*vector(QQbar, [1,2])
> (1.414213562373095?, 2.828427124746190?)
>
> sage: vector(QQbar, [sqrt(2), 2*sqrt(2)])
> (1.414213562373095?, 2.828427124746190?)
>
> sage: sqrt(2)*vector(QQbar, [1,2])
> <BOOM>
> }}}
>
> It seems sqrt() generally gets treated right as an element of QQbar, but
> as a scalar multiple of a vector over QQbar, it does not.

New description:

 Original summary by reporter: sqrt() as scalar multiple of QQbar vector
 {{{
 sage: QQbar(sqrt(2))*vector(QQbar, [1,2])
 (1.414213562373095?, 2.828427124746190?)

 sage: vector(QQbar, [sqrt(2), 2*sqrt(2)])
 (1.414213562373095?, 2.828427124746190?)

 sage: sqrt(2)*vector(QQbar, [1,2])
 <BOOM>
 }}}

 It seems sqrt() generally gets treated right as an element of QQbar, but
 as a scalar multiple of a vector over QQbar, it does not.

--

Comment:

 No, I don't think so. This is just an unknown use case for the detection
 of which the `NotImplementedError`s were placed. I have set the summary
 accordingly. After all, the minor flag is set.

--
Ticket URL: <http://trac.sagemath.org/ticket/10897#comment:2>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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