Alexey Stakhov

The Importance of the Golden Number for Mathematics and Computer Science: Exploration of the Bergman’s System and the Stakhov's Ternary Mirror-symmetrical System (Numeral Systems with Irrational Bases)

Alexey Stakhov · Journal of Advances in Mathematics and Computer Science · 2016

The main goal of the article is to explore two unusual numeral systems, which alter radically our ideas on the positional numeral systems. We are talking on the numeral systems with irrational bases. The first of them is the binary (0,1) numeral system with the irrational base   ...

Open access Research Article 10.9734/BJMCS/2016/28262

Fibonacci p-codes and Codes of the “Golden” p-proportions: New Informational and Arithmetical Foundations of Computer Science and Digital Metrology for Mission-Critical Applications

Alexey Stakhov · Journal of Advances in Mathematics and Computer Science · 2016

In the 70s and 80s years of the past century, the new positional numeral systems, called Fibonaссi p-codes and codes of the golden p-proportions, as new informational and arithmetical foundations of computer science and digital metrology, was considered as one of the most importa...

Open access Research Article 10.9734/BJMCS/2016/25969

The Fine-Structure Constant as the Physical- Mathematical MILLENNIUM PROBLEM

Alexey Stakhov & Samuil Aranson · Physical Science International Journal · 2015

This article solves the problem of variation of fundamental physical-mathematical constant (the fine-structure constant) in dependence of the age of the Universe. This problem has been named by as one of the MILLENNIUM PROBLEMS. The mathematical model of the evolution of the Univ...

Open access Research Article 10.9734/PSIJ/2016/21966