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In a nutshell: I begin by defining the following function:

def g(x):
return math.exp(-1/(1 - x^2))

which poses no problem. Then, I try to use this function g to define a new function, as follows:

f = Piecewise([ [(-.5,.5), 0.44399*g(x)] ])

which returns the following error:

TypeError Traceback (most recent call last)

/Applications/sage/<ipython console=""> in <module>()

/Applications/sage/<ipython console=""> in g(x)

/Applications/sage/local/lib/python2.6/site-packages/sage/rings/fraction_field_element.so in sage.rings.fraction_field_element.FractionFieldElement.__float__ (sage/rings/fraction_field_element.c:8540)()

/Applications/sage/local/lib/python2.6/site-packages/sage/rings/polynomial/polynomial_element.so in sage.rings.polynomial.polynomial_element.Polynomial.__float__ (sage/rings/polynomial/polynomial_element.c:8243)()

TypeError: cannot coerce nonconstant polynomial to float

I am not sure of what is going wrong here. Any ideas/solutions would be deeply appreciated.

-jl

In a nutshell: I begin by defining the following function:

def g(x):
return math.exp(-1/(1 - x^2))

which poses no problem. Then, I try to use this function g to define a new function, as follows:

f = Piecewise([ [(-.5,.5), 0.44399*g(x)] ])

which returns the following error:

---------------------------------------------------------------------------
TypeError                                 Traceback (most recent call last)
last)
 /Applications/sage/<ipython console> in <module>()
 
/Applications/sage/<ipython console=""> console> in <module>()g(x)
  
/Applications/sage/<ipython console=""> in g(x)
 
/Applications/sage/local/lib/python2.6/site-packages/sage/rings/fraction_field_element.so in sage.rings.fraction_field_element.FractionFieldElement.__float__ (sage/rings/fraction_field_element.c:8540)()(sage/rings/fraction_field_element.c:8540)()
  
/Applications/sage/local/lib/python2.6/site-packages/sage/rings/polynomial/polynomial_element.so in sage.rings.polynomial.polynomial_element.Polynomial.__float__ (sage/rings/polynomial/polynomial_element.c:8243)()(sage/rings/polynomial/polynomial_element.c:8243)()
  
TypeError: cannot coerce nonconstant polynomial to floatfloat
  
-----------