#15919: Notation S[i] for i-th element of enumerated set S conflicts with 
notation
R[x] for polynomial ring
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       Reporter:  darij              |        Owner:
           Type:  defect             |       Status:  needs_review
       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:                     |  bbd22f1422f7b643a55afabeb44cfd8204b7dd3b
  u/nthiery/ticket/15919             |     Stopgaps:
   Dependencies:                     |
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Comment (by tscrim):

 (Much) More of me says this change to `InstanceTester.some_elements()` is
 significantly better (and might even be faster for things that are hard to
 repeatably iterate over like crystals) than loosing the possibility that
 (over enough repeated tests) we get "most" elements of a very large finite
 set (and without calculating `__len__()`, which also might be expensive or
 error catching). So I'm saying let's make this change, the question is
 where. I'd be happy doing it right here.

 I'd say the problem with `ZZ` is that it is not in the correct category,
 which is now #16239. I've also made some very minor doctweaks, so I'm
 pos_rev with the current state (up to where to make the change above).

 Best,[[BR]]
 Travis

--
Ticket URL: <http://trac.sagemath.org/ticket/15919#comment:17>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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