On 16 jul, 04:39, "sttscitr...@tesco.net" <sttscitr...@tesco.net> wrote: > I don't think the claim that these methods are in any way > new stands up to scrutiny. > The idea of Farey dissections is clearly not new. > It is mentioned in Hardy and Wright for example.
Frankly, I had so many doubts about answering this response from yours, because I cannot realize if your remarks are the cosnequence of your ignorance on the methods shown in my webpages, or you just want to disturb people and cause confusion by making false statements. Whatever the case, your comments are nonsense.
You mentioned "Farey Fractions". Do you know what you are talking about?
I have never used any "Farey Fractions" in any of my methods, so I cannot understand why you are mentioning them as the center of the issue. Farey Fractions have been restricted only to reduced fractions, and they operate only between TWO
> Hurwitz wrote a paper "Ueber die Irrationalzahlen" > in the 1890s which describes a "mediant" method based on Farey > fractions that produces best rational approximations. > Monkmeyer and Mahler have examined generalizations > of Farey fractions, essentially a higher order > "mediant" method, intended to produce best rational > simultaneous approximations to a set of irrationals. > Can Morin find best rational approximations > to cubrt(2), cubrt(4) with his methods ? > He has not been able to do so in the past.- Ocultar texto de la cita - > > - Mostrar texto de la cita -