#15919: Notation S[i] for i-th element of enumerated set S conflicts with 
notation
R[x] for polynomial ring
-------------------------------------+-------------------------------------
       Reporter:  darij              |        Owner:
           Type:  defect             |       Status:  new
       Priority:  major              |    Milestone:  sage-6.2
      Component:  algebra            |   Resolution:
       Keywords:  notation,          |    Merged in:
  algebra, polynomial                |    Reviewers:
        Authors:                     |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  a4f7fc34ad7d2ebebee5def1f7366a8bad9d0d83
  u/nthiery/ticket/15919             |     Stopgaps:
   Dependencies:                     |
-------------------------------------+-------------------------------------
Changes (by nthiery):

 * commit:   => a4f7fc34ad7d2ebebee5def1f7366a8bad9d0d83


Comment:

 The above branch takes a first step toward using more systematically the
 unrank protocol, in that case in `CartesianProduct`. This should improve
 the situation and could be deemed good enough for now, but is certainly
 not a final solution. Also, the unrank function I introduced might be too
 paranoid: it makes CartesianProduct.unrank work only with lists, tuples,
 Parents, xranges; there might be other inputs that are used around. All
 tests pass though (haven't tried long tests yet).

 I agree with Nils though: the sampling in the TestSuite should not be
 using [i] to do unranking, and probably should just assume that the object
 is iterable, and not necessarily unrankable. I'll have a look unless
 someone beats me to it.

 The third alternative, explored by Darij in his branch, is to reinstate
 temporarily the notation FF[i] for unranking for IntegerModRing and
 friends.

 What do you think?
 ----
 New commits:
 
||[http://git.sagemath.org/sage.git/commit/?id=a4f7fc34ad7d2ebebee5def1f7366a8bad9d0d83
 a4f7fc3]||{{{15919: a first step toward using more systematically the
 unrank protocol}}}||

--
Ticket URL: <http://trac.sagemath.org/ticket/15919#comment:7>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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