#11779: python ints vs sage ints with respect to powers weirdness
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   Reporter:  dimpase   |          Owner:  AlexGhitza       
       Type:  defect    |         Status:  needs_review     
   Priority:  major     |      Milestone:  sage-4.7.2       
  Component:  coercion  |       Keywords:                   
Work_issues:            |       Upstream:  N/A              
   Reviewer:            |         Author:  Dmitrii Pasechnik
     Merged:            |   Dependencies:                   
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Comment(by dimpase):

 Replying to [comment:18 klee]:
 > Replying to [comment:17 dimpase]:
 > > well, being an algebraist by training and active in this research area
 for over 20 years, I tend to think that I know how to distinguish a binary
 operation from something else. And in my (not so in this case) humble
 opinion I think that exponentiation is a binary operation in this case.
 >
 > Then you know that multiplication is a basic binary operation of a ring,
 but exponentiation is simply a notation involving two values, one from the
 ring, the other from integers.

 Ever heard about {{{exp()}}}? Exponentiation is a jolly good binary
 operation on positive real numbers.

 >
 > > Look, I know an opinion on this issue of a lot of unhappy beginning
 users of Sage (the undergrads I currently teach), and they
 > > are dazed and confused by this inconsistency, among others. And I am
 merely trying to make Sage easier to use for them on this ticket.
 >
 > The right direction for beginners is to let them know the difference
 between `int(3)` and `3` (Sage Integer) and that `3` behaves more
 mathematically than `int(3)` which suffers from numerical treatment.

 Try to convince a beginner that the inconsistencies that got this ticket
 started are OK, without saying that Sage has not made a good choice.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11779#comment:19>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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