#12688: Improve documentation of span method
------------------------------+---------------------------------------------
   Reporter:  rbeezer         |          Owner:  jason, was
       Type:  enhancement     |         Status:  new       
   Priority:  minor           |      Milestone:  sage-5.0  
  Component:  linear algebra  |       Keywords:            
Work_issues:                  |       Upstream:  N/A       
   Reviewer:                  |         Author:            
     Merged:                  |   Dependencies:            
------------------------------+---------------------------------------------
Changes (by rbeezer):

  * priority:  major => minor
  * type:  defect => enhancement


Old description:

> I discovered this while working on #12541.  Documentation says the
> `check` will "coerce entries of gens into base field."  This does not
> appear to be happening, and should.
>
> First example is the root problem - second just shows that the `check`
> flag seems ineffectual.  I haven't looked at the code yet.
>
> {{{
> sage: (QQ^2).span(gens=[vector(QQ, [1,1/2])], base_ring=ZZ, check=True)
> Free module of degree 2 and rank 1 over Integer Ring
> Echelon basis matrix:
> [  1 1/2]
> sage: (QQ^2).span(gens=[vector(QQ, [1,1/2])], base_ring=ZZ, check=False)
> Free module of degree 2 and rank 1 over Integer Ring
> Echelon basis matrix:
> [  1 1/2]
> }}}

New description:

 I discovered this while working on #12541.  Documentation says the `check`
 will "coerce entries of gens into base field."  This does not appear to be
 happening, and should.  (Edit: this is an integral span of rational
 vectors, a construction that is intended, so improving the documentation
 might be in order.)


 {{{
 sage: (QQ^2).span(gens=[vector(QQ, [1,1/2])], base_ring=ZZ, check=True)
 Free module of degree 2 and rank 1 over Integer Ring
 Echelon basis matrix:
 [  1 1/2]
 }}}

--

Comment:

 See some discussion on #12541.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12688#comment:2>
Sage <http://www.sagemath.org>
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