Classical Cellular Automata Homogeneous Structures
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Classical Cellular Automata Homogeneous Structures
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Author : V. Z. Aladjev
language : en
Publisher: Fultus Corporation
Release Date : 2010-09
Classical Cellular Automata Homogeneous Structures written by V. Z. Aladjev and has been published by Fultus Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09 with Computers categories.
Book on cellular automata (CA) considers such questions as nonconstructible configurations, extremal possibilities of CA, complexity of finite configurations and global transition functions, modeling in CA, decomposition of global transition functions, appendices of CA, etc.
Classical Homogeneous Structures Cellular Automata
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Author : V. Z. Aladjev
language : ru
Publisher: Fultus Corporation
Release Date : 2009-04
Classical Homogeneous Structures Cellular Automata written by V. Z. Aladjev and has been published by Fultus Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04 with categories.
In the monograph we present certain results of the work we have done in mathematical theory of the classical homogeneous structures (HS; English synonym "Cellular Automata (CA)") during 1968 - 2008. At present, the HS theory forms an original part of the modern mathematical cybernetics.
Mathematical Theory Of Homogeneous Structures And Their Applications
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Author : Viktor Z. Aladjev
language : en
Publisher:
Release Date : 1980
Mathematical Theory Of Homogeneous Structures And Their Applications written by Viktor Z. Aladjev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Cellular automata categories.
Classical Homogeneous Structures
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Author : Viktor Zakharovich Aladʹev
language : en
Publisher:
Release Date : 2014
Classical Homogeneous Structures written by Viktor Zakharovich Aladʹev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Biology categories.
Extension Of Mathematica System Functionality
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Author : Victor Aladjev
language : en
Publisher: Lulu.com
Release Date : 2015-06-08
Extension Of Mathematica System Functionality written by Victor Aladjev and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-08 with Computers categories.
Systems of computer mathematics find more and more broad application in a number of natural, economical and social fields. One of leaders among means of this class undoubtedly is Mathematica system. The book focuses on one important aspect - modular programming supported by Mathematica. Software presented in the book contain a number of rather useful and effective methods of procedural and functional programming in Mathematica system that extend the system software and allow sometimes more efficiently and easily to program the objects for various purposes first of all of system character. The above software essentially dilate the Mathematica functionality and can be useful for programming of many applications above all of system character. The book is provided with freeware package AVZ_Package containing more than 680 procedures, functions, global variables and other program objects. The present book is oriented on a wide enough range of users of systems of the computer mathematics.
Cellular Automata
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Author : Alejandro Salcido
language : en
Publisher: BoD – Books on Demand
Release Date : 2011-04-11
Cellular Automata written by Alejandro Salcido and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-11 with Computers categories.
Cellular automata make up a class of completely discrete dynamical systems, which have became a core subject in the sciences of complexity due to their conceptual simplicity, easiness of implementation for computer simulation, and their ability to exhibit a wide variety of amazingly complex behavior. The feature of simplicity behind complexity of cellular automata has attracted the researchers' attention from a wide range of divergent fields of study of science, which extend from the exact disciplines of mathematical physics up to the social ones, and beyond. Numerous complex systems containing many discrete elements with local interactions have been and are being conveniently modelled as cellular automata. In this book, the versatility of cellular automata as models for a wide diversity of complex systems is underlined through the study of a number of outstanding problems using these innovative techniques for modelling and simulation.
Cellular Automata And Complexity
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Author : Stephen Wolfram
language : en
Publisher: CRC Press
Release Date : 2018-03-08
Cellular Automata And Complexity written by Stephen Wolfram and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-08 with Mathematics categories.
Are mathematical equations the best way to model nature? For many years it had been assumed that they were. But in the early 1980s, Stephen Wolfram made the radical proposal that one should instead build models that are based directly on simple computer programs. Wolfram made a detailed study of a class of such models known as cellular automata, and discovered a remarkable fact: that even when the underlying rules are very simple, the behaviour they produce can be highly complex, and can mimic many features of what we see in nature. And based on this result, Wolfram began a program of research to develop what he called A Science of Complexity."The results of Wolfram's work found many applications, from the so-called Wolfram Classification central to fields such as artificial life, to new ideas about cryptography and fluid dynamics. This book is a collection of Wolfram's original papers on cellular automata and complexity. Some of these papers are widely known in the scientific community others have never been published before. Together, the papers provide a highly readable account of what has become a major new field of science, with important implications for physics, biology, economics, computer science and many other areas.
Cellular Automata
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Author : Howard Gutowitz
language : en
Publisher: MIT Press
Release Date : 1991
Cellular Automata written by Howard Gutowitz and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Computers categories.
The thirty four contributions in this book cover many aspects of contemporary studies on cellular automata and include reviews, research reports, and guides to recent literature and available software. Cellular automata, dynamic systems in which space and time are discrete, are yielding interesting applications in both the physical and natural sciences. The thirty four contributions in this book cover many aspects of contemporary studies on cellular automata and include reviews, research reports, and guides to recent literature and available software. Chapters cover mathematical analysis, the structure of the space of cellular automata, learning rules with specified properties: cellular automata in biology, physics, chemistry, and computation theory; and generalizations of cellular automata in neural nets, Boolean nets, and coupled map lattices.Current work on cellular automata may be viewed as revolving around two central and closely related problems: the forward problem and the inverse problem. The forward problem concerns the description of properties of given cellular automata. Properties considered include reversibility, invariants, criticality, fractal dimension, and computational power. The role of cellular automata in computation theory is seen as a particularly exciting venue for exploring parallel computers as theoretical and practical tools in mathematical physics. The inverse problem, an area of study gaining prominence particularly in the natural sciences, involves designing rules that possess specified properties or perform specified task. A long-term goal is to develop a set of techniques that can find a rule or set of rules that can reproduce quantitative observations of a physical system. Studies of the inverse problem take up the organization and structure of the set of automata, in particular the parameterization of the space of cellular automata. Optimization and learning techniques, like the genetic algorithm and adaptive stochastic cellular automata are applied to find cellular automaton rules that model such physical phenomena as crystal growth or perform such adaptive-learning tasks as balancing an inverted pole.Howard Gutowitz is Collaborateur in the Service de Physique du Solide et Résonance Magnetique, Commissariat a I'Energie Atomique, Saclay, France.
Modern Cellular Automata
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Author : Kendall Preston Jr.
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Modern Cellular Automata written by Kendall Preston Jr. 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 2013-06-29 with Computers categories.
It is with great pleasure that I present this fourth vol ume in the series "Advanced Applications in Pattern Recognition." It would be difficult to find two authors better versed in the design and application of parallel image processing systems, due to both their own many years of pioneering in the field and their encyclopedic knowledge of what is going on in uni versity and industrial laboratories around the world. The monograph is unique in its parallel presentation of orthogonal and hexagonal dissections, and the wealth of graphic illustration of algorithmic procedures for processing and analyz ing images in the various known implementations of parallel im age-processing architectures. This volume should find a place on the bookshelf of every practitioner of pattern recognition, image processing, and compu ter graphics. Morton Nadler General Editor vii PREFACE This book endeavors to introduce the reader to the subject of cellular logic and cellular automata and is devoted particu larly to those parts dealing with the manipulation of pictorial data. The study of cellular automata owes much to the pioneer ing work of John von Neumann during the 1950s. Von Neumann was interested in general problems in the behavior of computing structures and was immensely impressed by the complexity and performance of the human brain, which he felt must point to wards successful designs for automatic computing machines.
Selected Problems In The Theory Of Classical Cellular Automata
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Author : V. Aladjev
language : en
Publisher:
Release Date : 2018-11-05
Selected Problems In The Theory Of Classical Cellular Automata written by V. Aladjev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-05 with categories.
In the book we present certain results of the work we have done in the theory of Classical Cellular Automata (CA). At present, these results form an essential constituent of the CA problematics. In particular, we have studied such problems as the nonconstructability problem in the CA, the decomposition problem of global transition functions in the CA, the extremal constructive possibilities, the parallel formal grammars and languages defined by the CA, the complexity of finite configurations and global transition functions in the CA, the modelling problem in classical CA, etc. At present, the CA problematics is a rather well developed independent field of the mathematical cybernetics that has a rather considerable field of various appendices. In addition, with the equal right the CA problematics can be considered as a component of such fields as discrete parallel dynamical systems, discrete mathematics, cybernetics, complex systems and some others. In our viewpoint, the book will represent an indubitable interest for students, post-graduates and persons working for doctor's degree of the appropriate faculties of universities, above all, of naturally scientific level along with teachers in subjects such as mathematical and physical modelling, discrete mathematics, automata theory, computer science, cybernetics, theoretical biology, computer technique, and a lot of others. In recent years, the classical CA models are one of the most promising simulating environments for various highly parallel discrete processes, objects and phenomena admitting reversible dynamics, that is enough important from a physical point of view, in the first place.