A propos de ce blog

Nom du blog :
jyboulay
Description du blog :

Catégorie :
Blog Sciences
Date de création :
03.11.2008
Dernière mise à jour :
20.09.2019

RSS

Navigation

Accueil
Gérer mon blog
Créer un blog
Livre d'or jyboulay
Contactez-moi !
Faites passer mon Blog !

Articles les plus lus

· Pi et le Nombre d'Or : apparitions des décimales non aléatoire
· Pi and Golden Section: the decimals occurrences are not random
· Suites universelles de Fibonacci : Phi n’est qu’une des infinies variantes de la constante P
· Universal Fibonacci sequences: Phi is one of the infinite variations of the constant P ©
· La Nouvelle Pétanque

 

Statistiques 6 articles


Derniers commentaires Recherche

Universal Fibonacci sequences: Phi is one of the infinite variations of the constant P ©

Universal Fibonacci sequences: Phi is one of the infinite variations of the constant P ©

Publié le 11/02/2009 à 12:00 par jyboulay
Introduction:

By transforming the function

to form the Fibonacci sequence by the function

the ratio convergence

tends to the constant


This universal constant has some same properties as the constant Phi. More precisely, the constant Phi (The Golden Section) is just one of the infinite variations of this constant P.


Theorem:

Let be a sequence of numbers defined by

for all x and y, x and y are positive real numbers, the ratio convergence

tends towards the constant:


Also it is true that the constant P is equal to:


Value of Phi:

For x = 1 et y = 1, 0 and 1 being the initial values, the produced sequence is that of Fibonacci and ratio

tends to the constant


Phi is just one of a variant of the constant P. Indeed, we find that:


Universal Scripture of Phi:

Because Phi is a variant of P, where x and y have the value 1, we can write:


This is true for all x, x being equal to any positive real number

...Whole Article:http://pagesperso-orange.fr/jean-yves.boulay/fi/index.htm

:: Les commentaires des internautes ::

clovis+simard le 22/06/2011
Bonjour,

Vous êtes cordialement invité à visiter mon blog.

Description : Mon Blog(fermaton.over-blog.com), présente le développement mathématique de la conscience humaine.

La Page No-20, THÉORÈME DE GAIA,

LE NOMBRE PI, LE PIMENT DES MATHS ??

Cordialement

Clovis Simard
http://fermaton.over-blog.com.centerblog.net


clovis+simard le 30/10/2012
Voir Blog(fermaton.over-blog.com)No.2 - THÉORÈME SANDY. - Conscience et Fibonacci.
http://fermaton.over-blog.com.centerblog.net