On Sep 18, 5:31 am, Burcin Erocal <[EMAIL PROTECTED]> wrote:
> On Wed, 17 Sep 2008 21:48:37 -0700 (PDT)
> John H Palmieri <[EMAIL PROTECTED]> wrote:
>
> > On Sep 17, 9:09 pm, "William Stein" <[EMAIL PROTECTED]> wrote:
> > > On Wed, Sep 17, 2008 at 8:59 PM, John H Palmieri
> > > <[EMAIL PROTECTED]> wrote:
> <snip>
>
> > > > Along the same lines, partial fraction decomposition should work
> > > > for rational numbers; this would work if elements of QQ were
> > > > instances of FractionFieldElement, right?
>
> > > Or you could just implement it, which would likely be a good idea.
>
> > It might be a good idea, but I don't know how to do it.  How do I
> > produce, given 1/20, the output 1/4 - 1/5?  That is, how do I tell
> > sage to output 1/4 - 1/5, as an element in QQ, I suppose, without
> > evaluating it and just printing 1/20?
>
> The partial_fraction_decomposition method of FractionFieldElement just
> returns a list. E.g.,
>
> sage: (1/20).partial_fraction_decomposition()
> [1/4, -1/5]

Depends on which partial fraction decomposition you mean. Look at this
trac ticket:

<http://trac.sagemath.org/sage_trac/ticket/4039>

*Should* it just return a list, or should it return an actual sum?

  John
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