Wondering about Domingo's Rational Mean book

[Kirby Urner]

"Iain Davidson" <Sttscitrans at tesco.net> wrote:

>The advantage of standard CFs is that they produce all
>best approximations. The mean method for cbrt(2)-1 misses
>131/ 504, for example.
>

Domingo presents several algorithms based on the 
rational mean.  His Rational Process ARP-2b, for
example, _does_ pick up the fraction you mention
i.e. 635/504 for cbrt(2) or 131/504 for cbrt(2)-1.

There's more source code in another branch of this 
thread over at comp.lang.python, for those of you 
interested in computerizing continued fractions etc.

See: http://x65.deja.com/viewthread.xp?AN=629442249

Kirby