#14326: Substituting numeric one in symbolic expression gives symbolic one
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       Reporter:  zimmerma          |        Owner:  AlexGhitza
           Type:  defect            |       Status:  new
       Priority:  major             |    Milestone:  sage-6.4
      Component:  basic arithmetic  |   Resolution:
       Keywords:                    |    Merged in:
        Authors:                    |    Reviewers:
Report Upstream:  N/A               |  Work issues:
         Branch:                    |       Commit:
   Dependencies:                    |     Stopgaps:
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Changes (by kcrisman):

 * cc: burcin (added)


Comment:

 Wow, this is weird.  Here is a ''much'' simpler example.
 {{{
 sage: w(n) = n
 sage: w(1.)
 1.00000000000000
 sage: w(n) = n^2
 sage: w(1.)
 1
 }}}
 In fact, even
 {{{
 sage: (x^2).subs(x=1.)
 1
 }}}
 works.  Yuck.

 Somehow the custom power method is not doing its job when you substitute .
 But I don't see an obvious place in Ginac where this would get screwed
 up...

 Aha.
 {{{
 sage: z = x^2
 sage: z.subs(x=1.)
 1
 sage: z.subs(x=2.)
 4.00000000000000
 }}}
 Because one does get treated differently.  Though
 {{{
 sage: z = x
 sage: z.subs(x=1.)
 1.00000000000000
 }}}
 so it also has something to do with the coercion that happens in the power
 method for symbolic expressions.

--
Ticket URL: <http://trac.sagemath.org/ticket/14326#comment:7>
Sage <http://www.sagemath.org>
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