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2011-01-25 03:55:29 -0600 commented answer Coercion problem while defining piecewise function

That was very clear and informative. Thanks a bunch!

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2011-01-24 18:52:38 -0600 asked a question Coercion problem while defining piecewise function

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/ 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/ 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.