John Cremona wrote:
> The problem is surely that the pieces f1a etc are just Python
> lambda-functions, yet the integral() method is being called on each of
> these in the line
> return sum([funcs[i].integral(x,invs[i][0],invs[i][1]) for i in range(n)])
> so the problem arises since you are asking to integrate each funcs[i]
> but they do not know how to integrate themselves.
>
> The solution would be to define your f1a (etc) not as lambda-functions
> but as functions which Sage knows how to integrate, and then form the
> piecewise function out of those "integrable" components.
>
Something like this?
sage: f1a(x)=(-x+1)
sage: f1b(x)=x+1
sage: f2a(x)=(-(x-2)-1)
sage: f2b(x)=(x-2)-1
sage: tri_wave = piecewise([ [(-1,0), f1a], [(0,1),f1b], \
[(1,2),f2a],[(2,3),f2b]])
sage: tri_wave.integral()
2
I noticed that the following gives an error in Sage 2.9:
sage: f(x)=-x
------------------------------------------------------------
File "<ipython console>", line 1
<type 'exceptions.SyntaxError'>: can't assign to function call (<ipython
console>, line 1)
Is that a bug? It seems to be related to the negative sign, since the
following works:
sage: f(x)=(-x)
sage: f(2)
-2
Jason
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