Fibonacci Numbers Atomic Structure
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Fibonacci Numbers Atomic Structure
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Author : Colin Millington, M D
language : en
Publisher:
Release Date : 2021-05-10
Fibonacci Numbers Atomic Structure written by Colin Millington, M D and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-10 with categories.
This book seeks to pose the question of whether relationships between Fibonacci numbers may be used predict possible structures for the electronic and nucleic structures of Atoms. This book introduces the Concept of Fermion Groups, interacting groups of Spin Elements based on numerical relationships centred about squares of numbers of the Fibonacci Sequence. These Spin Elements may possibly Cycle through sequences of spin states, with at least one spin state having to remain unoccupied. This book also examines whether Nuclear Behaviour can be predicted based on derived corollaries between electronic structures of Atoms and corresponding nuclear structures.
Fibonacci Numbers Atomic Structure
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Author : Colin M D Millington
language : en
Publisher:
Release Date : 2019-12-22
Fibonacci Numbers Atomic Structure written by Colin M D Millington and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-22 with categories.
Expanding on thoughts and ideas from the first book in this series, this book seeks to explain how the relationships between Fibonacci numbers may be used describe the electronic, and possibly also nucleus, structures of Atoms. This book introduces the Concept of Fermion Groups of spin Elements based on relationships to Fibonacci Squares, these spin Elements of each Cycling through sequences of spin states with one spin state having to remain unoccupied. This book also examines Nuclear Behaviour based on derived corollories between electronic structures of Atoms and corresponding nuclear structures.
Number Theory And The Periodicity Of Matter
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Author : Jan C. A. Boeyens
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-05
Number Theory And The Periodicity Of Matter written by Jan C. A. Boeyens and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-05 with Science categories.
This book presents a fully scientific account of the use of the golden ratio. It explores the observation that stable nucleides obey a number theory based general law. The discovery described in this book could be of seminal significance, also in other fields where the golden ratio is known to be of fundamental importance.
The Golden Ratio And Fibonacci Numbers
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Author : R. A. Dunlap
language : en
Publisher: World Scientific
Release Date : 1997
The Golden Ratio And Fibonacci Numbers written by R. A. Dunlap and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
In this invaluable book, the basic mathematical properties of the golden ratio and its occurrence in the dimensions of two- and three-dimensional figures with fivefold symmetry are discussed. In addition, the generation of the Fibonacci series and generalized Fibonacci series and their relationship to the golden ratio are presented. These concepts are applied to algorithms for searching and function minimization. The Fibonacci sequence is viewed as a one-dimensional aperiodic, lattice and these ideas are extended to two- and three-dimensional Penrose tilings and the concept of incommensurate projections. The structural properties of aperiodic crystals and the growth of certain biological organisms are described in terms of Fibonacci sequences. Contents: Basic Properties of the Golden Ratio; Geometric Problems in Two Dimensions; Geometric Problems in Three Dimensions; Fibonacci Numbers; Lucas Numbers and Generalized Fibonacci Numbers; Continued Fractions and Rational Approximants; Generalized Fibonacci Representation Theorems; Optimal Spacing and Search Algorithms; Commensurate and Incommensurate Projections; Penrose Tilings; Quasicrystallography; Biological Applications; Construction of the Regular Pentagon; The First 100 Fibonacci and Lucas Numbers; Relationships Involving the Golden Ratio and Generalized Fibonacci Numbers. Readership: Applied mathematicians.
Fibonacci And Lucas Numbers And The Golden Section
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Author : Steven Vajda
language : en
Publisher: Courier Corporation
Release Date : 2008-01-01
Fibonacci And Lucas Numbers And The Golden Section written by Steven Vajda and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-01 with Mathematics categories.
This survey of the use of Fibonacci and Lucas numbers and the ancient principle of the Golden Section covers areas relevant to operational research, statistics, and computational mathematics. 1989 edition.
Fibonacci Numbers And Integer Structure
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Author : ANTHONY G. SHANNON
language : en
Publisher:
Release Date : 2018
Fibonacci Numbers And Integer Structure written by ANTHONY G. SHANNON and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.
New Visual Perspectives On Fibonacci Numbers
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Author : Krassimir T. Atanassov
language : en
Publisher: World Scientific
Release Date : 2002
New Visual Perspectives On Fibonacci Numbers written by Krassimir T. Atanassov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
Discusses new ground on Fibonacci sequences and the well-known Fibonacci numbers. There is a continuing emphasis on diagrams, both geometric and combinatorial, which helps to tie disparate topics together, weaving around the unifying themes of the golden mean and various generalizations of the Fibonacci recurrence relation.
The Mathematics Of Harmony
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Author :
language : en
Publisher:
Release Date :
The Mathematics Of Harmony written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Fibonacci Lucas Numbers And The Golden Section
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Author : S. Vajda
language : en
Publisher:
Release Date : 1989
Fibonacci Lucas Numbers And The Golden Section written by S. Vajda and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Fibonacci numbers categories.
The Mathematics Of Harmony
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Author : Alekse? Petrovich Stakhov
language : en
Publisher: World Scientific
Release Date : 2009
The Mathematics Of Harmony written by Alekse? Petrovich Stakhov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
Assisted by Scott Olsen (Central Florida Community College, USA) This volume is a result of the author's four decades of research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the ?Mathematics of Harmony,? a new interdisciplinary direction of modern science. This direction has its origins in ?The Elements? of Euclid and has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the ?golden? algebraic equations, the generalized Binet formulas, Fibonacci and ?golden? matrices), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational radices, Fibonacci computers, ternary mirror-symmetrical arithmetic, a new theory of coding and cryptography based on the Fibonacci and ?golden? matrices).The book is intended for a wide audience including mathematics teachers of high schools, students of colleges and universities and scientists in the field of mathematics, theoretical physics and computer science. The book may be used as an advanced textbook by graduate students and even ambitious undergraduates in mathematics and computer science.