Modern natural science requires the development of new mathematical apparatus. The
generalized Fibonacci numbers or Fibonacci p-numbers (p= 0, 1, 2, 3,…), which appear in …

The “Dichotomy Principle” and the classical “Golden Section Principle” are two of the most
important principles of Nature, Science and also Art. The Generalized Principle of the …

In the 21st century, information has become the most valuable resource that is available to
modern societies. Thus, great efforts have been made to develop new information …

We consider a new class of square matrices called the “golden” matrices. They are a
generalization of the classical Fibonacci Q-matrix for continuous domain. The “golden” …

Nowadays, quantum computing plays a significant role in reducing the execution time in
complicated computations. There are different reversible algorithms for quantum …

Molecules that can perform complex mathematical operations are a potential alternative for
transistor-type semiconductors.[1] Since a molecular AND gate was demonstrated in …

In 1840, Thomas Fowler, a self-taught English mathematician and inventor, created a unique
ternary calculating machine. Recently, all detail of this machine was lost. A research project …

Fundamentals of a new kind of mathematics based on the Golden Section - ScienceDirect
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Science and Technology is providing people all over the world with much better ways of
communicating than ever before, and the winds of change have whipped up the de‐-sire to …

" Data Science Foundations is most welcome and, indeed, a piece of literature that the field
is very much in need of… quite different from most data analytics texts which largely ignore …