#12688: Improve documentation of span method
----------------------------------+-----------------------------------------
       Reporter:  rbeezer         |         Owner:  jason, was  
           Type:  enhancement     |        Status:  needs_review
       Priority:  minor           |     Milestone:  sage-5.0    
      Component:  linear algebra  |    Resolution:              
       Keywords:  rd2             |   Work issues:              
Report Upstream:  N/A             |     Reviewers:              
        Authors:  Rob Beezer      |     Merged in:              
   Dependencies:  12541           |      Stopgaps:              
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Changes (by {'newvalue': u'Rob Beezer', 'oldvalue': ''}):

  * keywords:  => rd2
  * status:  new => needs_review
  * dependencies:  => 12541
  * author:  => Rob Beezer


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.  (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]
> }}}

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]
 }}}

 '''Depends:''' #12541

 '''Apply:'''
   1.  [attachment:trac_12688_span_documentation.patch]

--

Comment:

 Patch is documentation only.  More thorough, and more in keeping with
 current documentation standards.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12688#comment:3>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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