#1956: implement multivariate power series arithmetic
-----------------------------------+----------------------------------------
   Reporter:  was                  |       Owner:  malb                     
       Type:  enhancement          |      Status:  needs_work               
   Priority:  major                |   Milestone:  sage-5.0                 
  Component:  commutative algebra  |    Keywords:  multivariate power series
     Author:  niles                |    Upstream:  N/A                      
   Reviewer:                       |      Merged:                           
Work_issues:  Fix doctests         |  
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Changes (by niles):

  * work_issues:  Fix doctests; fix __contains__; add syntactical sugar =>
                  Fix doctests


Comment:

 Thanks for the tips!

 Replying to [comment:11 SimonKing]:
 > 1. {{{__contains__}}} and coercion

 {{{__contains__}}} is now inherited, and non-standard behaviour fixed (I
 wasn't aware of the standard).

 >
 > 2. Use of double-underscore methods

 I have fixed as many of these as I could find (probably all of them, but
 let me know if there are more issues).

 >
 >
 > I am now running {{{make ptestlong}}}, and will then have a closer look
 at the code - so, no review yet. But I think you should address the points
 above.

 Indeed; I have found that my installation of sage fails some long doctests
 even before the patches are applied, so I will have to do a fresh
 installation before I can test this myself properly.

 Also, I had some time to kill so I've added support for the double bracket
 method, and this is included in the documentation.
 {{{
 sage: ZZ[['s,t,u']]
 Multivariate Power Series Ring in s, t, u over Integer Ring
 }}}

 Finally, with a little more free time I added support for {{{exponents}}}
 and a basic version of the verschiebung, {{{V}}}.  These were among the
 pile of not-yet-implemented methods inherited from univariate power
 series.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/1956#comment:16>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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