On Wed, Apr 30, 2008 at 8:51 PM, Dan Drake <[EMAIL PROTECTED]> wrote:
> On Wed, 30 Apr 2008 at 09:10AM -0700, bill.p wrote:
> > > My present thought is that I'd need a list of integers plus another
> > > integer - the integer could either be the number of non-recurring
> > > terms, or it could be the number of recurring terms. Given the way
> > > that Python handles negative indices I guess the second option could
> > > amount to the same thing by making it negative. Again, feedback
> > > welcomed.
> > >
> > > Bill
> > Hmmm, I'll take that as 'No Interest' then....
>
> I haven't been following this carefully, but I'd like to see a format
> for quadratic irrationals that is along the same lines as Mathematica:
>
> ContinuedFraction[Sqrt[15]]
>
> yields
>
> {3, {1, 6}}.
BTW, you can do this in GAP via SAGE:
sage: gap.eval("x := Indeterminate(Integers);;")
''
sage: eval(gap.eval("ContinuedFractionExpansionOfRoot(x^2-15,20)"))
[3, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1]
http://www.gap-system.org/Manuals/doc/htm/ref/CHAP015.htm#SECT005
It would probably be straightforward to write a pexpect wrapper....
>
> The first entry is the integer part, and after that, we'd have a tuple
> or list that gives you the periodic stuff. Rational numbers would be
> just a list of integers:
>
> {3, 7, 15, 1, 292, 1, 1, 1, 2, 1}
>
> It would also be nice if you could do symbolic expressions as entries in
> the list.
>
> Dan
>
> --
> --- Dan Drake <[EMAIL PROTECTED]>
> ----- KAIST Department of Mathematical Sciences
> ------- http://math.kaist.ac.kr/~drake
>
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