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[Axiom-math] Re: [Axiom-developer] Re: partfrac, expand, combine, rewrit
From: |
Dylan Thurston |
Subject: |
[Axiom-math] Re: [Axiom-developer] Re: partfrac, expand, combine, rewrite and simplify. |
Date: |
Tue, 7 Oct 2003 12:24:48 -0400 |
User-agent: |
Mutt/1.5.4i |
On Tue, Oct 07, 2003 at 10:19:14AM -0400, Tim Daly wrote:
> > // 2 //
> > I call partfrac the transform as 2x^3 / (1-x^2) = 1/(1-x) - 1/(1+x) - 2x
> >
> > What is its name in axiom ?
>
> The partialFraction function will create a partial fraction thus:
>
> -> partialFraction(7,12)
>
> 3 1
> 1 - -- + -
> 2 3
> 2
> Type: PartialFraction Integer
Right, but this doesn't help with the actual problem! Apparently to
convince partialFraction to work on polynomials you need to provide some
type information.
Furthermore, I think there's a bug here:
------
(8) -> partialFraction((2*x^3), (1-x^2))
There are 1 exposed and 1 unexposed library operations named
partialFraction having 2 argument(s) but none was determined to
be applicable. [snippage]
(8) -> partialFraction((2*x^3)::UP(x, FRAC INT), (1-x^2))
2x
(8) - 2x - ------
2
x - 1
Type: PartialFraction UnivariatePolynomial(x,Fraction Integer)
(9) -> partialFraction((2*x^3), (1-x^2)::UP(x, FRAC INT))
1 1
(9) - 2x - ----- - -----
x - 1 x + 1
Type: PartialFraction UnivariatePolynomial(x,Fraction Integer)
------
Why didn't input (8) above actually do the partial fraction expansion?
Peace,
Dylan
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- [Axiom-math] Re: partfrac, expand, combine, rewrite and simplify., Tim Daly, 2003/10/07
- [Axiom-math] Re: [Axiom-developer] Re: partfrac, expand, combine, rewrite and simplify.,
Dylan Thurston <=
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- [Axiom-math] Re: [Axiom-developer] Re: partfrac, expand, combine, rewrite and simplify., Dylan Thurston, 2003/10/11
- [Axiom-math] Re: partfrac, expand, combine,rewrite and simplify., Bill Page, 2003/10/12
- Re: [Axiom-math] Re: partfrac, expand, combine,rewrite and simplify., root, 2003/10/12
- Re: [Axiom-math] Re: partfrac, expand, combine,rewrite and simplify., fmaltey, 2003/10/13
- Re: [Axiom-math] Re: partfrac, expand, combine,rewrite and simplify., Dylan Thurston, 2003/10/13
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