On counting by a pair of Fibonacci generated countable sets of irrationals
Keywords:
Fibonacci numbers, irrational numbers, rational numbers, multiplicative decompositionAbstract
A Fibonacci sequence representation of any rational number of the real line R is used to construct a pair of phi-nary (in relation to the Golden ratio φ) unique countable sets of irrational numbers. These sets, which have a potential for novel applications, are further employed in the proof that R should be populated ”much more with irrational numbers than with rational numbers”.
Downloads
Published
2019-07-30
How to Cite
Haidar, N. H. (2019). On counting by a pair of Fibonacci generated countable sets of irrationals. Italian Journal of Pure and Applied Mathematics, 42, 494–503. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/7216
Issue
Section
Articoli - Forum Editrice
License
Copyright (c) 2019 Nassar H.S. Haidar
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
