Wow -- staggering.  I'm also rather impressed by how firefox renders
.py files in the repository!

John

On 29/10/2007, William Stein <[EMAIL PROTECTED]> wrote:
>
> On 10/29/07, John Cremona <[EMAIL PROTECTED]> wrote:
> >
> > ok, I'm off to read the Sage p-adic documentation before I risk making
> > more of a fool of myself!
>
> You might also want to have a look here at some source code, since
> the p-adic documentation might be rather lacking:
>
>  http://www.sagemath.org/hg/sage-main/file/22f456794143/sage/rings/padics/
>
> >
> > John
> >
> > On 29/10/2007, William Stein <[EMAIL PROTECTED]> wrote:
> > >
> > > On 10/29/07, John Cremona <[EMAIL PROTECTED]> wrote:
> > > > On 29/10/2007, Martin Albrecht <[EMAIL PROTECTED]> wrote:
> > > > > On Monday 29 October 2007, John Cremona wrote:
> > > > > > Since you have a lot more things to add to your list, you  should
> > > > > > delete the p-adic arithmetic item, since that already exists in 
> > > > > > pari.
> > > > > > (I am not saying taht the capabilities are the same, but I have been
> > > > > > using pari/gp for p-adic arithmetic for years).
> > > > >
> > > > > as far as I know is the p-adics project in Sage way more ambitious 
> > > > > than what
> > > > > is implemented in Pari and thus I think it is okay to list it. I 
> > > > > might be
> > > > > wrong, though, as I never work with it.
> > > >
> > > > I'm sure your right about the ambitiousness!  But it's not true to say
> > > > that "arithmetic with $p$-adic numbers" was "not implemented before in
> > > > the
> > > > open-source world", that's all.  Even if you added "advanced" before
> > > > "arithmetic", some pari people might object since pari does have (for
> > > > example) quite a lot of p-adic analytic functions, polynomial
> > > > factorization and root-finding, ...
> > >
> > >
> > > There are numerous models and variants of p-adic arithmetic that
> > > David Roe has spent months and months implementing for Sage which are not
> > > available at all in any other open source package.  At least one
> > > of them ("lazy p-adics") is also not available in any other package.
> > > So in fact it is true to say that "certain models of arithmetic with
> > > $p$-adic numbers" was "not implemented before in the open source
> > > world".   There are also new algorithms for arithmetic in polynomial
> > > rings over the p-adics (and with matrices?) that are only in Sage.
> > >
> > >  -- William
> > >
> > > >
> > >
> >
> >
> > --
> > John Cremona
> >
> > >
> >
>
>
> --
> William Stein
> Associate Professor of Mathematics
> University of Washington
> http://wstein.org
>
> >
>


-- 
John Cremona

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