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Book Synopsis Classical Cellular Automata. Homogeneous Structures by : V. Z. Aladjev
Download or read book Classical Cellular Automata. Homogeneous Structures written by V. Z. Aladjev and published by Fultus Corporation. This book was released on 2010-09 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Extension of Mathematica system functionality by : Victor Aladjev
Download or read book Extension of Mathematica system functionality written by Victor Aladjev and published by Lulu.com. This book was released on 2015-06-08 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis General Statistics by : Victor Aladjev
Download or read book General Statistics written by Victor Aladjev and published by Lulu.com. This book was released on 2014-10-17 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a statistic course for undergraduate students in all fields of social and economic sciences. The book presents a manual on a course "General Statistics", including a series of not quite traditional topics. Above all, it concerns the mathematical bases of statistics and use of computer technologies in statistic probing. At that, thematic choice of the chapters and sections of the book is caused not only by interests and tastes of the authors, but also by modern tendencies in applied statistics and orientation of the given work. The book contains a series of concrete proposals for improvement of statistic practice; many of them are based on our experience in practical statistical activity in statistical organs of USSR and Estonia. A comparability aspect of the Soviet statistic school inheriting many traditions of the worldwide known Russian school of probability theory and statistics, with western statistics can be a rather interesting to the English-speaking reader.
Book Synopsis Computing in Nonlinear Media and Automata Collectives by : Andrew Adamatzky
Download or read book Computing in Nonlinear Media and Automata Collectives written by Andrew Adamatzky and published by CRC Press. This book was released on 2001-06-22 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computing in Nonlinear Media and Automata Collectives presents an account of new ways to design massively parallel computing devices in advanced mathematical models, such as cellular automata and lattice swarms, from unconventional materials, including chemical solutions, bio-polymers, and excitable media.
Book Synopsis Cellular Automata: Analysis and Applications by : Karl-Peter Hadeler
Download or read book Cellular Automata: Analysis and Applications written by Karl-Peter Hadeler and published by Springer. This book was released on 2017-05-27 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of the main approaches used to analyze the dynamics of cellular automata. Cellular automata are an indispensable tool in mathematical modeling. In contrast to classical modeling approaches like partial differential equations, cellular automata are relatively easy to simulate but difficult to analyze. In this book we present a review of approaches and theories that allow the reader to understand the behavior of cellular automata beyond simulations. The first part consists of an introduction to cellular automata on Cayley graphs, and their characterization via the fundamental Cutis-Hedlund-Lyndon theorems in the context of various topological concepts (Cantor, Besicovitch and Weyl topology). The second part focuses on classification results: What classification follows from topological concepts (Hurley classification), Lyapunov stability (Gilman classification), and the theory of formal languages and grammars (Kůrka classification)? These classifications suggest that cellular automata be clustered, similar to the classification of partial differential equations into hyperbolic, parabolic and elliptic equations. This part of the book culminates in the question of whether the properties of cellular automata are decidable. Surjectivity and injectivity are examined, and the seminal Garden of Eden theorems are discussed. In turn, the third part focuses on the analysis of cellular automata that inherit distinct properties, often based on mathematical modeling of biological, physical or chemical systems. Linearity is a concept that allows us to define self-similar limit sets. Models for particle motion show how to bridge the gap between cellular automata and partial differential equations (HPP model and ultradiscrete limit). Pattern formation is related to linear cellular automata, to the Bar-Yam model for the Turing pattern, and Greenberg-Hastings automata for excitable media. In addition, models for sand piles, the dynamics of infectious d
Book Synopsis Cellular Automata And Complexity by : Stephen Wolfram
Download or read book Cellular Automata And Complexity written by Stephen Wolfram and published by CRC Press. This book was released on 2018-03-08 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author :Tullio Ceccherini-Silberstein Publisher :Springer Science & Business Media ISBN 13 :3642140343 Total Pages :446 pages Book Rating :4.6/5 (421 download)
Book Synopsis Cellular Automata and Groups by : Tullio Ceccherini-Silberstein
Download or read book Cellular Automata and Groups written by Tullio Ceccherini-Silberstein and published by Springer Science & Business Media. This book was released on 2010-08-24 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cellular automata were introduced in the first half of the last century by John von Neumann who used them as theoretical models for self-reproducing machines. The authors present a self-contained exposition of the theory of cellular automata on groups and explore its deep connections with recent developments in geometric group theory, symbolic dynamics, and other branches of mathematics and theoretical computer science. The topics treated include in particular the Garden of Eden theorem for amenable groups, and the Gromov-Weiss surjunctivity theorem as well as the solution of the Kaplansky conjecture on the stable finiteness of group rings for sofic groups. The volume is entirely self-contained, with 10 appendices and more than 300 exercises, and appeals to a large audience including specialists as well as newcomers in the field. It provides a comprehensive account of recent progress in the theory of cellular automata based on the interplay between amenability, geometric and combinatorial group theory, symbolic dynamics and the algebraic theory of group rings which are treated here for the first time in book form.
Book Synopsis Computer Algebra Systems by : Victor Aladjev
Download or read book Computer Algebra Systems written by Victor Aladjev and published by Fultus Corporation. This book was released on 2004 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: Book Description The book represents a library of well-designed software, which well supplements the already available Maple software with the orientation towards the widest circle of the Maple users, greatly enhancing its usability and effectiveness. The current library version contains tools (more than 570 procedures and program modules) that are oriented onto wide enough spheres of computing and information processing. The library is structurally similar to the main Maple library and is supplied with the advanced Help system about the tools located in it. In addition, the library is logically connected with the main Maple library, providing access to the tools contained in it similarly to the package tools. The library will be of special interest above all to those who use Maple of releases 6 - 9.5 not only as a highly intellectual calculator but also as environment for programming of different problems in own professional activities. The represented source codes of the library tools, using both the effective and the non-standard technique, can serve as an useful enough practical programming guide on the Maple language. Author Biography Professor Aladjev V. was born on June 14, 1942 in the town Grodno (Byelorussia). Now, he is the First vice-president of the International Academy of Noosphere and the president of Tallinn Research Group, whose scientific results have received international recognition, first, in the field of mathematical theory of Cellular Automata (CA). He is member of a series of Russian and International Academies. Aladjev V. is the author of more than 300 scientific publications, including 60 books, published in many countries. He participates as a member of the organizing committee and/or a guest lecturer in many international scientific forums in mathematics and cybernetics. Category: NonFiction/Science/Mathematics/Mathematical & Statistical Software/Algebra
Book Synopsis Cellular Automata Machines by : Tommaso Toffoli
Download or read book Cellular Automata Machines written by Tommaso Toffoli and published by MIT Press. This book was released on 1987 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Computation -- Computation by Abstracts Devices.
Book Synopsis Parallel Computing Technologies by : Victor Malyshkin
Download or read book Parallel Computing Technologies written by Victor Malyshkin and published by Springer Science & Business Media. This book was released on 1995-08-16 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings -- Parallel Computing.
Book Synopsis Lattice-Gas Cellular Automata and Lattice Boltzmann Models by : Dieter A. Wolf-Gladrow
Download or read book Lattice-Gas Cellular Automata and Lattice Boltzmann Models written by Dieter A. Wolf-Gladrow and published by Springer. This book was released on 2004-10-19 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lattice-gas cellular automata (LGCA) and lattice Boltzmann models (LBM) are relatively new and promising methods for the numerical solution of nonlinear partial differential equations. The book provides an introduction for graduate students and researchers. Working knowledge of calculus is required and experience in PDEs and fluid dynamics is recommended. Some peculiarities of cellular automata are outlined in Chapter 2. The properties of various LGCA and special coding techniques are discussed in Chapter 3. Concepts from statistical mechanics (Chapter 4) provide the necessary theoretical background for LGCA and LBM. The properties of lattice Boltzmann models and a method for their construction are presented in Chapter 5.
Book Synopsis Cellular Automata by : Andrew Ilachinski
Download or read book Cellular Automata written by Andrew Ilachinski and published by World Scientific. This book was released on 2001 with total page 844 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cellular automata are a class of spatially and temporally discrete mathematical systems characterized by local interaction and synchronous dynamical evolution. Introduced by the mathematician John von Neumann in the 1950s as simple models of biological self-reproduction, they are prototypical models for complex systems and processes consisting of a large number of simple, homogeneous, locally interacting components. Cellular automata have been the focus of great attention over the years because of their ability to generate a rich spectrum of very complex patterns of behavior out of sets of relatively simple underlying rules. Moreover, they appear to capture many essential features of complex self-organizing cooperative behavior observed in real systems.This book provides a summary of the basic properties of cellular automata, and explores in depth many important cellular-automata-related research areas, including artificial life, chaos, emergence, fractals, nonlinear dynamics, and self-organization. It also presents a broad review of the speculative proposition that cellular automata may eventually prove to be theoretical harbingers of a fundamentally new information-based, discrete physics. Designed to be accessible at the junior/senior undergraduate level and above, the book will be of interest to all students, researchers, and professionals wanting to learn about order, chaos, and the emergence of complexity. It contains an extensive bibliography and provides a listing of cellular automata resources available on the World Wide Web.
Book Synopsis The Cellular Automaton Interpretation of Quantum Mechanics by : Gerard 't Hooft
Download or read book The Cellular Automaton Interpretation of Quantum Mechanics written by Gerard 't Hooft and published by Springer. This book was released on 2016-09-02 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the deterministic view of quantum mechanics developed by Nobel Laureate Gerard 't Hooft. Dissatisfied with the uncomfortable gaps in the way conventional quantum mechanics meshes with the classical world, 't Hooft has revived the old hidden variable ideas, but now in a much more systematic way than usual. In this, quantum mechanics is viewed as a tool rather than a theory. The author gives examples of models that are classical in essence, but can be analysed by the use of quantum techniques, and argues that even the Standard Model, together with gravitational interactions, might be viewed as a quantum mechanical approach to analysing a system that could be classical at its core. He shows how this approach, even though it is based on hidden variables, can be plausibly reconciled with Bell's theorem, and how the usual objections voiced against the idea of ‘superdeterminism' can be overcome, at least in principle. This framework elegantly explains - and automatically cures - the problems of the wave function collapse and the measurement problem. Even the existence of an “arrow of time" can perhaps be explained in a more elegant way than usual. As well as reviewing the author’s earlier work in the field, the book also contains many new observations and calculations. It provides stimulating reading for all physicists working on the foundations of quantum theory.
Book Synopsis Cellular Automaton Modeling of Biological Pattern Formation by : Andreas Deutsch
Download or read book Cellular Automaton Modeling of Biological Pattern Formation written by Andreas Deutsch and published by Birkhäuser. This book was released on 2018-03-09 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text explores the use of cellular automata in modeling pattern formation in biological systems. It describes several mathematical modeling approaches utilizing cellular automata that can be used to study the dynamics of interacting cell systems both in simulation and in practice. New in this edition are chapters covering cell migration, tissue development, and cancer dynamics, as well as updated references and new research topic suggestions that reflect the rapid development of the field. The book begins with an introduction to pattern-forming principles in biology and the various mathematical modeling techniques that can be used to analyze them. Cellular automaton models are then discussed in detail for different types of cellular processes and interactions, including random movement, cell migration, adhesive cell interaction, alignment and cellular swarming, growth processes, pigment cell pattern formation, tissue development, tumor growth and invasion, and Turing-type patterns and excitable media. In the final chapter, the authors critically discuss possibilities and limitations of the cellular automaton approach in modeling various biological applications, along with future research directions. Suggestions for research projects are provided throughout the book to encourage additional engagement with the material, and an accompanying simulator is available for readers to perform their own simulations on several of the models covered in the text. QR codes are included within the text for easy access to the simulator. With its accessible presentation and interdisciplinary approach, Cellular Automaton Modeling of Biological Pattern Formation is suitable for graduate and advanced undergraduate students in mathematical biology, biological modeling, and biological computing. It will also be a valuable resource for researchers and practitioners in applied mathematics, mathematical biology, computational physics, bioengineering, and computer science. PRAISE FOR THE FIRST EDITION “An ideal guide for someone with a mathematical or physical background to start exploring biological modelling. Importantly, it will also serve as an excellent guide for experienced modellers to innovate and improve their methodologies for analysing simulation results.” —Mathematical Reviews
Book Synopsis Cellular Automata by : Peter M.A. Sloot
Download or read book Cellular Automata written by Peter M.A. Sloot and published by Springer Science & Business Media. This book was released on 2004-10-14 with total page 899 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 6th International Conference on Cellular Automata for Research and Industry, ACRI 2004, held in Amsterdam, The Netherlands in October 2004. The 60 revised full papers and 30 poster papers presented were carefully reviewed and selected from 150 submissions. The papers are devoted to methods and theory; evolved cellular automata; traffic, networks, and communication; applications in science and engineering; biomedical applications, natural phenomena and ecology; and social and economical applications.
Book Synopsis Trends, Techniques, and Problems in Theoretical Computer Science by : Alica Kelemenova
Download or read book Trends, Techniques, and Problems in Theoretical Computer Science written by Alica Kelemenova and published by Springer Science & Business Media. This book was released on 1987-10-21 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aerodynamics and hydrodynamics are still the main domains that make greater use of flow visualization and classical optical techniques such as schlieren and interferometry than of more recent techniques such as holography speckle, laser light sheets, laser-induced tracers and laser-induced fluorescence. A number of studies are now under way on turbulent and vortex flows, within boundary layers or wakes, in the mixing layer of two flows. Other studies concern jets, two-phase flows and air-water interface. To review and discuss developments in flow visualization, four international symposia have been held. Following Tokyo, Bochum and Ann Arbor, the Fourth International Symposium on Flow Visualization (ISFV 4) was held in Paris in August 1986.
Book Synopsis Computational Intelligence Paradigms by : S. Sumathi
Download or read book Computational Intelligence Paradigms written by S. Sumathi and published by CRC Press. This book was released on 2010-01-05 with total page 853 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offering a wide range of programming examples implemented in MATLAB, Computational Intelligence Paradigms: Theory and Applications Using MATLAB presents theoretical concepts and a general framework for computational intelligence (CI) approaches, including artificial neural networks, fuzzy systems, evolutionary computation, genetic algorithms and pr
