#13716: (very) Minor improvements to the multivariate polynomials documentation
---------------------------------------+------------------------------------
       Reporter:  Bouillaguet          |         Owner:  malb        
           Type:  enhancement          |        Status:  needs_review
       Priority:  trivial              |     Milestone:  sage-5.5    
      Component:  commutative algebra  |    Resolution:              
       Keywords:  beginner             |   Work issues:              
Report Upstream:  N/A                  |     Reviewers:              
        Authors:  Charles Bouillaguet  |     Merged in:              
   Dependencies:                       |      Stopgaps:              
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Comment (by ppurka):

 Some comments:
 1. Line 1308 is missing a backtick on closing.
 {{{
 Returns the leading term of ``self`` i.e., ``self.lc()*self.lm()`. The
 }}}
 2. Lines 1577 and 1578 should have the latex variables enclosed in single
 backticks not double (like {{{`I = (f_1,...,f_r)`}}}:
 {{{
        given an ideal ``I = (f_1,...,f_r)`` and some ``g (== self)`` in
 ``I``, find
         ``s_1,...,s_r`` such that ``g = s_1*f_1 + ... + s_r*f_r``.
 }}}
 3. Shouldn't line 1975 also have `\ne` in the latter expression?
 {{{
         - `LT(g_i) \neq LT(g_j)` for all `i != j`
 }}}
 4. Should we refer to the `derivative()` function in line 342 instead as
 {{{:meth:`sage.calculus.functional.derivative`}}} ? This will create a
 hyperlink to the derivative documentation in the notebook help.
 5. I am not very happy to see lots of "self" throughout the docs, but
 converting all of them would be a lot of work. So, I guess we can just let
 it pass and hope it gets fixed little by little over time.
 6. Most importantly, this patch touches a huge number of lines in several
 files. I am ok with this change (in fact, ok with any change which
 improves docs), but ultimately its up to Jeroen whether this gets merged,
 since he doesn't usually like massive minor changes. :)

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13716#comment:2>
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