Adex Theory: How The Ade Coxeter Graphs Unify Mathematics And Physics PDF Download
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Author: Saul-paul Sirag
Publisher: World Scientific
ISBN: 9814656518
Category : Mathematics
Languages : en
Pages : 277
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Book Description
This book shows how the ADE Coxeter graphs unify at least 20 different types of mathematical structures. These mathematical structures are of great utility in unified field theory, string theory, and other areas of physics.
Author: Saul-paul Sirag
Publisher: World Scientific
ISBN: 9814656518
Category : Mathematics
Languages : en
Pages : 277
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Book Description
This book shows how the ADE Coxeter graphs unify at least 20 different types of mathematical structures. These mathematical structures are of great utility in unified field theory, string theory, and other areas of physics.
Author: Mihai Alexandru Petrovici
Publisher: Springer
ISBN: 3319395521
Category : Science
Languages : en
Pages : 394
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Book Description
This thesis addresses one of the most fundamental challenges for modern science: how can the brain as a network of neurons process information, how can it create and store internal models of our world, and how can it infer conclusions from ambiguous data? The author addresses these questions with the rigorous language of mathematics and theoretical physics, an approach that requires a high degree of abstraction to transfer results of wet lab biology to formal models. The thesis starts with an in-depth description of the state-of-the-art in theoretical neuroscience, which it subsequently uses as a basis to develop several new and original ideas. Throughout the text, the author connects the form and function of neuronal networks. This is done in order to achieve functional performance of biological brains by transferring their form to synthetic electronics substrates, an approach referred to as neuromorphic computing. The obvious aspect that this transfer can never be perfect but necessarily leads to performance differences is substantiated and explored in detail. The author also introduces a novel interpretation of the firing activity of neurons. He proposes a probabilistic interpretation of this activity and shows by means of formal derivations that stochastic neurons can sample from internally stored probability distributions. This is corroborated by the author’s recent findings, which confirm that biological features like the high conductance state of networks enable this mechanism. The author goes on to show that neural sampling can be implemented on synthetic neuromorphic circuits, paving the way for future applications in machine learning and cognitive computing, for example as energy-efficient implementations of deep learning networks. The thesis offers an essential resource for newcomers to the field and an inspiration for scientists working in theoretical neuroscience and the future of computing.
Author: Axel Hutt
Publisher: Frontiers Media SA
ISBN: 2889459853
Category :
Languages : en
Pages : 116
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Book Description
The understanding of complex systems is a key element to predict and control the system’s dynamics. To gain deeper insights into the underlying actions of complex systems today, more and more data of diverse types are analyzed that mirror the systems dynamics, whereas system models are still hard to derive. Data assimilation merges both data and model to an optimal description of complex systems’ dynamics. The present eBook brings together both recent theoretical work in data assimilation and control and demonstrates applications in diverse research fields.
Author: Colin Rourke
Publisher: World Scientific
ISBN: 9811233888
Category : Science
Languages : en
Pages : 274
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Book Description
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.
Author: Saul Paul Sirag
Publisher: Series on Knots & Everything
ISBN: 9789814656498
Category : Coxeter graphs
Languages : en
Pages : 259
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Book Description
This book shows how the ADE Coxeter graphs unify at least 20 different types of mathematical structures. These mathematical structures are of great utility in unified field theory, string theory, and other areas of physics.
Author: Robert Justin Goldstein
Publisher: University of Illinois Press
ISBN: 9780252069642
Category : History
Languages : en
Pages : 724
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Book Description
Robert Justin Goldstein's Political Repression in Modern America provides the only comprehensive narrative account ever published of significant civil liberties violations concerning political dissidents since the rise of the post-Civil War modern American industrial state. A history of the dark side of the "land of the free," Goldstein's book covers both famous and little-known examples of governmental repression, including reactions to the early labor movement, the Haymarket affair, "little red scares" in 1908, 1935, and 1938-41, the repression of opposition to World War I, the 1919 "great red scare," the McCarthy period, and post-World War II abuses of the intelligence agencies. Enhanced with a new introduction and an updated bibliography, Political Repression in Modern America remains an essential record of the relentless intolerance that suppresses radical dissent in the United States.
Author: Thomas Preston
Publisher:
ISBN:
Category : Achromatism
Languages : en
Pages : 620
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Book Description
Author: Jack Shulman Avrin
Publisher: World Scientific
ISBN: 9813278994
Category : Science
Languages : en
Pages : 281
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Book Description
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.
Author: Christopher R. Leslie
Publisher:
ISBN: 0195337190
Category : Law
Languages : en
Pages : 702
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Book Description
In Antitrust Law and Intellectual Property Rights: Cases and Materials, Christopher R. Leslie describes how patents, copyrights, and trademarks confer exclusionary rights on their owners, and how firms sometimes exercise this exclusionary power in ways that exceed the legitimate bounds of their intellectual property rights. Leslie explains that while substantive intellectual property law defines the scope of the exclusionary rights, antitrust law often provides the most important consequences when owners of intellectual property misuse their rights in a way that harms consumers or illegitimately excludes competitors. Antitrust law defines the limits of what intellectual property owners can do with their IP rights. In this book, Leslie explores what conduct firms can and cannot engage in while acquiring and exploiting their intellectual property rights, and surveys those aspects of antitrust law that are necessary for both antitrust practitioners and intellectual property attorneys to understand. This book is ideal for an advanced antitrust course in a JD program. In addition to building on basic antitrust concepts, it fills in a gap that is often missing in basic antitrust courses yet critical for an intellectual property lawyer: the intersection of intellectual property and antitrust law. The relationship between intellectual property and antitrust is particularly valuable as an increasing number of law schools offer specializations and LLMs in intellectual property. This book also provides meaningful material for both undergraduate and graduate business schools programs because it explains how antitrust law limits the marshalling of intellectual property rights.
Author: André van Schaik
Publisher: Frontiers Media SA
ISBN: 2889711617
Category : Science
Languages : en
Pages : 177
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Book Description
