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Complexification
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Book Synopsis The Relativity of Everything. A Philosophical Inquiry into Relativity, Complexity and Distributed Society. by : Rodney J. Morris
Download or read book The Relativity of Everything. A Philosophical Inquiry into Relativity, Complexity and Distributed Society. written by Rodney J. Morris and published by Rodney J. Morris. This book was released on 2023-08-25 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: Given that everything in the world is relative, contemporary societal organization is based on social absolutes that are considered self-evident. This type of system invariably introduces central polarization into society, leading to class divisions, with transitions between the classes becoming increasingly difficult as polarization intensifies. Throughout human history, various forms of centrally polarized societies have been established, referred to by different names in different eras, such as slavery, feudalism, capitalism, or socialism. However, these societies can only endure as long as transitions between their social strata remain possible. Once these transitions become unattainable, the society inevitably crumbles. The escalating central polarization of society and its subsequent division become impediments to progress and development and can only be overcome through decentralization. Historically, transitions from one societal structure to another have resulted in a temporary decentralization of society. Nevertheless, the new societal structure invariably deteriorated due to the emergence of fresh central polarization, albeit founded on different polarization criteria. This book offers a deep exploration of the phenomena of relativity, complexity, and complexification, proposing a new approach to the critical analysis of capitalism as a societal structure. It elaborates on the foundational principles of distributed society as the only sustainable alternative to centrally polarized society.
Book Synopsis Lie Groups Beyond an Introduction by : Anthony W. Knapp
Download or read book Lie Groups Beyond an Introduction written by Anthony W. Knapp and published by Springer Science & Business Media. This book was released on 2002-08-21 with total page 844 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes the reader from the end of introductory Lie group theory to the threshold of infinite-dimensional group representations. Merging algebra and analysis throughout, the author uses Lie-theoretic methods to develop a beautiful theory having wide applications in mathematics and physics. The book initially shares insights that make use of actual matrices; it later relies on such structural features as properties of root systems.
Book Synopsis Memory Evolutive Systems; Hierarchy, Emergence, Cognition by : A C Ehresmann
Download or read book Memory Evolutive Systems; Hierarchy, Emergence, Cognition written by A C Ehresmann and published by Elsevier. This book was released on 2007-05-25 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Memory Evolutive Systems; Hierarchy, Emergence, Cognition provides comprehensive and comprehensible coverage of Memory Evolutive Systems (MEM). Written by the developers of the MEM, the book proposes a mathematical model for autonomous evolutionary systems based on the Category Theory of mathematics. It describes a framework to study and possibly simulate the structure of living systems and their dynamic behavior. This book contributes to understanding the multidisciplinary interfaces between mathematics, cognition, consciousness, biology and the study of complexity. It is organized into three parts. Part A deals with hierarchy and emergence and covers such topics as net of interactions and categories; the binding problem; and complexifications and emergence. Part B is about MEM while Part C discusses MEM applications to cognition and consciousness. The book explores the characteristics of a complex evolutionary system, its differences from inanimate physical systems, and its functioning and evolution in time, from its birth to its death. This book is an ideal reference for researchers, teachers and students in pure mathematics, computer science, cognitive science, study of complexity and systems theory, Category Theory, biological systems theory, and consciousness theory. It would also be of interest to both individuals and institutional libraries. Comprehensive and comprehensible coverage of Memory Evolutive System Written by the developers of the Memory Evolutive Systems Designed to explore the common language between sciences
Book Synopsis Ordered Algebraic Structures and Related Topics by : Fabrizio Broglia
Download or read book Ordered Algebraic Structures and Related Topics written by Fabrizio Broglia and published by American Mathematical Soc.. This book was released on 2017 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the international conference ""Ordered Algebraic Structures and Related Topics'', held from October 12-16, 2015, at CIRM, Luminy, Marseilles, France. Papers contained in this volume cover topics in real analytic geometry, real algebra, and real algebraic geometry including complexity issues, model theory of various algebraic and differential structures, Witt equivalence of fields, and the moment problem.
Book Synopsis Complex Analysis and Geometry by : Vincenzo Ancona
Download or read book Complex Analysis and Geometry written by Vincenzo Ancona and published by CRC Press. This book was released on 1995-09-27 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a conference held in Trento, Italy, and sponsored by the Centro Internazionale per la Ricera Matematica, this work presents advances in several complex variables and related topics such as transcendental algebraic geometry, infinite dimensional supermanifolds, and foliations. It covers the unfoldings of singularities, Levi foliations, Cauchy-Reimann manifolds, infinite dimensional supermanifolds, conformal structures, algebraic groups, instantons and more.
Book Synopsis Language Evolution and Syntactic Theory by : Anna R. Kinsella
Download or read book Language Evolution and Syntactic Theory written by Anna R. Kinsella and published by Cambridge University Press. This book was released on 2009-07-23 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses the relationship between Chomskyan syntactic theory and the evolution of language.
Book Synopsis The Geometry of Jordan and Lie Structures by : Wolfgang Bertram
Download or read book The Geometry of Jordan and Lie Structures written by Wolfgang Bertram and published by Springer. This book was released on 2003-07-01 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: The geometry of Jordan and Lie structures tries to answer the following question: what is the integrated, or geometric, version of real Jordan algebras, - triple systems and - pairs? Lie theory shows the way one has to go: Lie groups and symmetric spaces are the geometric version of Lie algebras and Lie triple systems. It turns out that both geometries are closely related via a functor between them, called the Jordan-Lie functor, which is constructed in this book. The reader is not assumed to have any knowledge of Jordan theory; the text can serve as a self-contained introduction to (real finite-dimensional) Jordan theory.
Download or read book Designer Evolution written by Simon Young and published by Prometheus Books. This book was released on 2009-09-25 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Young presents a polemical espousal of transhumanist philosophy and a trenchant attack on its critics, the "Bio-Luddites." The author calls for a rejection of premodern superstition and postmodern nihilism in favor of a renewed belief in human progress through scientific rationality.
Book Synopsis Harmonic Analysis on Commutative Spaces by : Joseph Albert Wolf
Download or read book Harmonic Analysis on Commutative Spaces written by Joseph Albert Wolf and published by American Mathematical Soc.. This book was released on 2007 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study starts with the basic theory of topological groups, harmonic analysis, and unitary representations. It then concentrates on geometric structure, harmonic analysis, and unitary representation theory in commutative spaces.
Book Synopsis Applications of Evolutionary Computation by : Cecilia Di Chio
Download or read book Applications of Evolutionary Computation written by Cecilia Di Chio and published by Springer. This book was released on 2010-04-03 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Evolutionary computation (EC) techniques are e?cient, nature-inspired me- ods based on the principles of natural evolution and genetics. Due to their - ciency and simple underlying principles, these methods can be used for a diverse rangeofactivitiesincludingproblemsolving,optimization,machinelearningand pattern recognition. A large and continuously increasing number of researchers and professionals make use of EC techniques in various application domains. This volume presents a careful selection of relevant EC examples combined with a thorough examination of the techniques used in EC. The papers in the volume illustrate the current state of the art in the application of EC and should help and inspire researchers and professionals to develop e?cient EC methods for design and problem solving. All papers in this book were presented during EvoApplications 2010, which included a range of events on application-oriented aspects of EC. Since 1998, EvoApplications — formerly known as EvoWorkshops — has provided a unique opportunity for EC researchers to meet and discuss application aspects of EC and has been an important link between EC research and its application in a variety of domains. During these 12 years, new events have arisen, some have disappeared,whileothershavematuredtobecomeconferencesoftheirown,such as EuroGP in 2000, EvoCOP in 2004, and EvoBIO in 2007. And from this year, EvoApplications has become a conference as well.
Book Synopsis Moonshine beyond the Monster by : Terry Gannon
Download or read book Moonshine beyond the Monster written by Terry Gannon and published by Cambridge University Press. This book was released on 2023-07-31 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Complexification written by John L. Casti and published by Harper Perennial. This book was released on 1995-04-12 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: A renowned mathematician shows how the "science of surprise" can help explain some of the most inexplicable phenomena in science, nature, the arts, the economy, and more.
Book Synopsis Further Advances in Twistor Theory by : L.J. Mason
Download or read book Further Advances in Twistor Theory written by L.J. Mason and published by CRC Press. This book was released on 2023-05-31 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Twistor theory is the remarkable mathematical framework that was discovered by Roger Penrose in the course of research into gravitation and quantum theory. It have since developed into a broad, many-faceted programme that attempts to resolve basic problems in physics by encoding the structure of physical fields and indeed space-time itself into the complex analytic geometry of twistor space. Twistor theory has important applications in diverse areas of mathematics and mathematical physics. These include powerful techniques for the solution of nonlinear equations, in particular the self-duality equations both for the Yang-Mills and the Einstein equations, new approaches to the representation theory of Lie groups, and the quasi-local definition of mass in general relativity, to name but a few. This volume and its companions comprise an abundance of new material, including an extensive collection of Twistor Newsletter articles written over a period of 15 years. These trace the development of the twistor programme and its applications over that period and offer an overview on the current status of various aspects of that programme. The articles have been written in an informal and easy-to-read style and have been arranged by the editors into chapter supplemented by detailed introductions, making each volume self-contained and accessible to graduate students and non-specialists from other fields. Volume II explores applications of flat twistor space to nonlinear problems. It contains articles on integrable or soluble nonlinear equations, conformal differential geometry, various aspects of general relativity, and the development of Penrose's quasi-local mass construction.
Book Synopsis Sociolinguistic Typology by : Peter Trudgill
Download or read book Sociolinguistic Typology written by Peter Trudgill and published by Oxford University Press. This book was released on 2011-10-20 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book considers how far social factors explain why human societies produce different kinds of language at different times and places and why some languages and dialects get simpler while others get more complex. It does so in the context of a wide range of languages and societies.
Book Synopsis Linear Algebra II by : Frederick P. Greenleaf
Download or read book Linear Algebra II written by Frederick P. Greenleaf and published by American Mathematical Soc.. This book was released on 2020-05-06 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the second of two volumes on linear algebra for graduate students in mathematics, the sciences, and economics, who have: a prior undergraduate course in the subject; a basic understanding of matrix algebra; and some proficiency with mathematical proofs. Both volumes have been used for several years in a one-year course sequence, Linear Algebra I and II, offered at New York University's Courant Institute. The first three chapters of this second volume round out the coverage of traditional linear algebra topics: generalized eigenspaces, further applications of Jordan form, as well as bilinear, quadratic, and multilinear forms. The final two chapters are different, being more or less self-contained accounts of special topics that explore more advanced aspects of modern algebra: tensor fields, manifolds, and vector calculus in Chapter 4 and matrix Lie groups in Chapter 5. The reader can choose to pursue either chapter. Both deal with vast topics in contemporary mathematics. They include historical commentary on how modern views evolved, as well as examples from geometry and the physical sciences in which these topics are important. The book provides a nice and varied selection of exercises; examples are well-crafted and provide a clear understanding of the methods involved.
Book Synopsis Modeling of Next Generation Digital Learning Environments by : Marc Trestini
Download or read book Modeling of Next Generation Digital Learning Environments written by Marc Trestini and published by John Wiley & Sons. This book was released on 2018-10-25 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: The emergence of social networks, OpenCourseWare, Massive Open Online Courses, informal remote learning and connectivist approaches to learning has made the analysis and evaluation of Digital Learning Environments more complex. Modeling these complex systems makes it possible to transcribe the phenomena observed and facilitates the study of these processes with the aid of specific tools. Once this essential step is taken, it then becomes possible to develop plausible scenarios from the observation of emerging phenomena and dominant trends. This book highlights the contribution of complex systems theory in the study of next generation Digital Learning Environments. It describes a realistic approach and proposes a range of effective management tools to achieve it.
Book Synopsis Singularities by : Vladimir I. Arnold
Download or read book Singularities written by Vladimir I. Arnold and published by Birkhäuser. This book was released on 2012-12-06 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: In July 1996, a conference was organized by the editors of this volume at the Mathematische Forschungsinstitut Oberwolfach to honour Egbert Brieskorn on the occasion of his 60th birthday. Most of the mathematicians invited to the conference have been influenced in one way or another by Brieskorn's work in singularity theory. It was the first time that so many people from the Russian school could be present at a conference in singularity theory outside Russia. This volume contains papers on singularity theory and its applications, written by participants of the conference. In many cases, they are extended versions of the talks presented there. The diversity of subjects of the contributions reflects singularity theory's relevance to topology, analysis and geometry, combining ideas and techniques from all of these fields, as well as demonstrating the breadth of Brieskorn's own interests. This volume contains papers on singularity theory and its applications, written by participants of the conference. In many cases, they are extended versions of the talks presented there. The diversity of subjects of the contributions reflects singularity theory's relevance to topology, analysis and geometry, combining ideas and techniques from all of these fields, as well as demonstrates the breadth of Brieskorn's own interests.
