#9424: FP evaluation of symbolic sums fails
-----------------------------+--------------------------
       Reporter:  burcin     |        Owner:  burcin
           Type:  defect     |       Status:  needs_work
       Priority:  major      |    Milestone:  sage-6.4
      Component:  symbolics  |   Resolution:
       Keywords:             |    Merged in:
        Authors:             |    Reviewers:
Report Upstream:  N/A        |  Work issues:
         Branch:             |       Commit:
   Dependencies:             |     Stopgaps:
-----------------------------+--------------------------
Changes (by rws):

 * type:  enhancement => defect


Old description:

> Symbolics sums returned from maxima cannot be numerically evaluated,
> since they don't define an `_evalf_()` method.
>
> This was reported by dirkd on sage-support:
>
> {{{
> Why is evaluating this expression problematical?
>
> y1(x)=x^2;y2(x)=5-x;
> a0=1;an=3;Delta=(an-a0)/n;p(k)=a0+(k-1/2)*Delta;
> I(n)=sum(abs(y2(p(k))-y1(p(k)))*Delta,k,1,n);
> N(I(10))
>
> SAGE respons:
> <snipped traceback>
>   File "expression.pyx", line 3797, in
> sage.symbolic.expression.Expression.n (sage/symbolic/expression.cpp:
> 17022)
> TypeError: cannot evaluate symbolic expression numerically
> }}}
>
> Here is the thread:
>
> http://groups.google.com/group/sage-support/t/615b15ca638c9652
>
> See also #17422

New description:

 Symbolics sums returned from maxima cannot be numerically evaluated, since
 they don't define an `_evalf_()` method.

 This was reported by dirkd on sage-support:

 {{{
 Why is evaluating this expression problematical?

 y1(x)=x^2;y2(x)=5-x;
 a0=1;an=3;Delta=(an-a0)/n;p(k)=a0+(k-1/2)*Delta;
 I(n)=sum(abs(y2(p(k))-y1(p(k)))*Delta,k,1,n);
 N(I(10))

 SAGE respons:
 <snipped traceback>
   File "expression.pyx", line 3797, in
 sage.symbolic.expression.Expression.n (sage/symbolic/expression.cpp:
 17022)
 TypeError: cannot evaluate symbolic expression numerically
 }}}

 Here is the thread:

 http://groups.google.com/group/sage-support/t/615b15ca638c9652

 See also #15346

--

--
Ticket URL: <http://trac.sagemath.org/ticket/9424#comment:14>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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