#8821: Adding a section on coercion to the tutorial (guided tour)
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   Reporter:  SimonKing      |       Owner:  mvngu            
       Type:  enhancement    |      Status:  needs_review     
   Priority:  major          |   Milestone:  sage-4.4.1       
  Component:  documentation  |    Keywords:  tutorial coercion
     Author:  Simon King     |    Upstream:  N/A              
   Reviewer:                 |      Merged:                   
Work_issues:                 |  
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Comment(by robertwb):

 Looks good, and is much needed. I haven't finished reading it, but I have
 some comments:

 First, I might focus less on the types and isinstance corresponding to
 mathematical categories, as they can be misleading. For example, univarite
 polynomials are instances of PrincipalIdealDomainElement, even if they
 are. Another example, testing for RingElement could be deceptive. At least
 one of

 {{{
 sage: isinstance(matrix(ZZ, 2), RingElement)
 True
 sage: isinstance(matrix(ZZ, 2,3), RingElement)
 True
 }}}

 is False. (I consider the first a bug.)

 Second, we don't want to create the expectation that Python elements are
 unique, as they usually aren't:

 {{{
 sage: a = -15r
 sage: b = -15r
 sage: a is b
 False
 }}}

 Only some really common integers are.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8821#comment:2>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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