On Complementarity A Universal Organizing Principle
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On Complementarity A Universal Organizing Principle
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Author : Jack Shulman Avrin
language : en
Publisher: World Scientific
Release Date : 2021-08-06
On Complementarity A Universal Organizing Principle written by Jack Shulman Avrin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-06 with Science categories.
It is not uncommon for the Principle of Complementarity to be invoked in either Science or Philosophy, viz. the ancient oriental philosophy of Yin and Yang whose symbolic representation is portrayed on the cover of the book. Or Niels Bohr's use of it as the basis for the so-called Copenhagen interpretation of Quantum Mechanics. This book arose as an outgrowth of the author's previous book entitled 'Knots, Braids and Moebius Strips,' published by World Scientific in 2015, wherein the Principle itself was discovered to be expressible as a simple 2x2 matrix that summarizes the algebraic essence of both the well-known Microbiology of DNA and the author's version of the elementary particles of physics. At that point, the possibility of an even wider utilization of that expression of Complementarity arose.The current book, features Complementarity, in which the matrix algebra is extended to characterize not only DNA itself but the well-known process of its replication, a most gratifying outcome. The book then goes on to explore Complementarity, with and without its matrix expression, as it occurs, not only in much of physics but in its extension to cosmology as well.
On Complementarity
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Author : Jack Avrin
language : en
Publisher:
Release Date : 2021
On Complementarity written by Jack Avrin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Complementarity (Physics) categories.
"It is not uncommon for the Principle of Complementarity to be invoked in either Science or Philosophy, viz. the ancient oriental philosophy of Yin and Yang whose symbolic representation is portrayed on the cover of the book. Or Niels Bohr's use of it as the basis for the so-called Copenhagen interpretation of Quantum Mechanics. This book arose as an outgrowth of the author's previous book entitled "Knots, Braids and Moebius Strips," published by World Scientific in 2015, wherein the Principle itself was discovered to be expressible as a simple 2x2 matrix that summarizes the algebraic essence of both the well-known Microbiology of DNA and the author's version of the elementary particles of physics. At that point, the possibility of an even wider utilization of that expression of Complementarity arose. The current book, features Complementarity, in which the matrix algebra is extended to characterize not only DNA itself but the well-known process of its replication, a most gratifying outcome. The book then goes on to explore Complementarity, with and without its matrix expression, as it occurs, not only in much of physics but in its extension to cosmology as well"--
Geometric Foundations Of Design Old And New
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Author : Jay Kappraff
language : en
Publisher: World Scientific
Release Date : 2021-03-05
Geometric Foundations Of Design Old And New written by Jay Kappraff and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-05 with Design categories.
This book is meant to serve either as a textbook for an interdisciplinary course in Mathematics of Design, or as a trade book for designers. It will also be of interest for people interested in recreational mathematics showing the connection between mathematics and design. Topics from the book can also be adapted for use in pre-college mathematics. Each chapter will provide the user with ideas that can be incorporated in a design. Background materials will be provided to show the reader the mathematical principles that lie behind the designs.
The Geometry Of The Universe
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Author : Colin Rourke
language : en
Publisher: World Scientific
Release Date : 2021-06-03
The Geometry Of The Universe written by Colin Rourke and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-03 with Science categories.
Cosmology, the study of the universe, arouses a great deal of public interest, with serious articles both in the scientific press and in major newspapers, with many of the theories and concepts (e.g. the 'big bang' and 'black holes') discussed, often in great depth.Accordingly the book is divided into three parts:Part 1 is readable (and understandable) by anyone with a nodding acquaintance with the basic language of cosmology: events, lights paths, galaxies, black holes and so on. It covers the whole story of the book in a way as untechnical as possible given the scope of the topics covered.Part 2 covers the same ground again but with enough technical details to satisfy a reader with basic knowledge of mathematics and/or physics.Part 3 consists of appendices which are referred to in the other parts and which also contain the highly technical material omitted from Section 2.
One Cocycles And Knot Invariants
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Author : Thomas Fiedler
language : en
Publisher: World Scientific
Release Date : 2023-01-04
One Cocycles And Knot Invariants written by Thomas Fiedler and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-04 with Mathematics categories.
One-Cocycles and Knot Invariants is about classical knots, i.e., smooth oriented knots in 3-space. It introduces discrete combinatorial analysis in knot theory in order to solve a global tetrahedron equation. This new technique is then used to construct combinatorial 1-cocycles in a certain moduli space of knot diagrams. The construction of the moduli space makes use of the meridian and the longitude of the knot. The combinatorial 1-cocycles are therefore lifts of the well-known Conway polynomial of knots, and they can be calculated in polynomial time. The 1-cocycles can distinguish loops consisting of knot diagrams in the moduli space up to homology. They give knot invariants when they are evaluated on canonical loops in the connected components of the moduli space. They are a first candidate for numerical knot invariants which can perhaps distinguish the orientation of knots.
Four Dimensional Paper Constructions After Mobius Klein And Boy
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Author : Eiji Ogasa
language : en
Publisher: World Scientific
Release Date : 2025-03-05
Four Dimensional Paper Constructions After Mobius Klein And Boy written by Eiji Ogasa and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-05 with Mathematics categories.
Explore four-dimensional paper constructions inspired by the work of great mathematicians like Möbius, Klein, Boy, Hopf, and others. These creations will help you visualize four-dimensional space and beyond, transporting you to higher-dimensional spaces. This book is designed to solidify your foundations in various areas of mathematics and physics, with a particular focus on topology.If you are familiar with higher-dimensional spaces from loving sci-fi stories, you may find the four-dimensional illustrations in this book especially intuitive. Imagine starting on Earth and traveling straight up into the universe — where would you end up? Perhaps you would travel in one direction only to eventually return to your starting point. Can you imagine what happens during the course of this trip? By engaging with these four-dimensional paper constructions, you will gain a deeper understanding of this fascinating journey.
Quipu Decorated Permutation Representations Of Finite Groups
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Author : Yongju Bae
language : en
Publisher: World Scientific
Release Date : 2024-06-27
Quipu Decorated Permutation Representations Of Finite Groups written by Yongju Bae and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-27 with Mathematics categories.
This book studies dihedral groups, dicyclic groups, other finite subgroups of the 3-dimensional sphere, and the 2-fold extensions of the symmetric group on 4 letters from the point of view of decorated string diagrams of permutations. These are our metaphorical quipu. As you might expect, the book is replete with illustrations. In (almost) all cases, explicit diagrams for the elements of the group are given. The exception is the binary icosahedral group in which only the generators and relations are exhibited.
Transnational Organized Crime
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Author : Staiano, Fulvia
language : en
Publisher: Edward Elgar Publishing
Release Date : 2022-07-15
Transnational Organized Crime written by Staiano, Fulvia and has been published by Edward Elgar Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-15 with Law categories.
This timely book provides a critical consideration of one of the most pressing matters confronting global and regional strategies for suppressing transnational organized crime today: the question of the scope and rationale of States’ criminal jurisdiction over these cross-border offences. It shines a light on the complex challenges posed by transnational organized crime to international criminal law.
The International Criminal Court In Its Third Decade
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Author : Carsten Stahn
language : en
Publisher: BRILL
Release Date : 2023-11-07
The International Criminal Court In Its Third Decade written by Carsten Stahn and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-07 with Law categories.
This volume examines lessons learned in over two decades of ICC practice. It discusses macro issues, such as universality, selectivity, new technologies, complementarity, victims and challenges in the life cycle of cases, as well as ways to re-think the ICC regime in light of the Independent Expert Review, aggression against Ukraine, and novel global challenges.
The Conscious Universe
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Author : Menas Kafatos
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Conscious Universe written by Menas Kafatos 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 2012-12-06 with Science categories.
This discussion resulted from a dialogue which began some seven years ago between a physicist who specializes in astrophysics, general relativity, and the foundations of quantum theory, and a student of cultural history who had done post-doctoral work in the history and philosophy of science. Both of us at that time were awaiting the results of some experiments being conducted under the direction of the physicist Alain Aspect at the University of Paris-South. ! The experiments were the last in a series designed to test some predictions based on a mathematical 2 theorem published in 1964 by John Bell. There was no expectation that the results of these experiments would provide the basis for developing new technologies. The questions which the experiments were designed to answer concerned the relation ship between physical reality and physical theory in the branch of physics known as quantum mechanics. Like most questions raised by physicists which lead to startling new insights, they were disarmingly simple and direct. Is quantum physics, asked Bell, a self-consistent theory whose predictions would hold in a new class of experiments, or would the results reveal that the apparent challenges of quantum physics to the understanding in classical physics of the relationship between physical theory and physical reality were merely illusory? Answering this question in actual experiments could also, suggested Bell, lead to another, quite dramatic, result.