#6949: add symbolic max and min functions
-----------------------------+----------------------------------------------
   Reporter:  burcin         |       Owner:  burcin    
       Type:  enhancement    |      Status:  needs_work
   Priority:  major          |   Milestone:  sage-4.4.1
  Component:  symbolics      |    Keywords:            
     Author:  Burcin Erocal  |    Upstream:  N/A       
   Reviewer:                 |      Merged:            
Work_issues:                 |  
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Changes (by lfousse):

  * status:  needs_review => needs_work


Comment:

 I applied the patch on top of 4.3.5:
 {{{
 sage: f(x) = max_symbolic(sin(x), cos(x))
 sage: f(0)
 1
 sage: f
 x |--> max(sin(x), cos(x))
 sage: f(1)
 max(sin(1), cos(1))
 }}}
 So far, so good. But:
 {{{
 sage: N(f(1))
 ---------------------------------------------------------------------------
 TypeError                                 Traceback (most recent call
 last)

 /opt/sage-4.3.5/<ipython console> in <module>()

 /opt/sage-4.3.5/local/lib/python2.6/site-packages/sage/misc/functional.pyc
 in numerical_approx(x, prec, digits)
    1161             prec = int((digits+1) * 3.32192) + 1
    1162     try:
 -> 1163         return x.numerical_approx(prec)
    1164     except AttributeError:
    1165         from sage.rings.complex_double import
 is_ComplexDoubleElement

 /opt/sage-4.3.5/local/lib/python2.6/site-
 packages/sage/symbolic/expression.so in
 sage.symbolic.expression.Expression.n
 (sage/symbolic/expression.cpp:17043)()

 TypeError: cannot evaluate symbolic expression numerically
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6949#comment:5>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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