Re: [Axiom-mail] Defining piece-wise functions and drawing, integrating, ...

[Raymond E. Rogers]

Ralf Hemmecke wrote:
>
> Agreed, but what about telling Axiom the following:
>
> (1) -> g(x)==if x>0 then x else -x
>                                 Type: Void
>
> (
I am sorry for being a nuisance but I would like to point out:
This function can be expressed as
g(x)=  -x +2*DD^2
Where DD is the second order of the Dirac Delta function;  and DD^2 =
int(int(DD*1)) , a ramp starting at 0.  The point is that piecewise
polynomials  can be handled as generalized functions.
The integral int(g(x),a,b) would be [-(x^2/2)+DD^3]^b_a 

 I am retiring soon and perhaps will implement the useful parts of using
the Dirac Delta function in Axiom. 

Ray Rogers