Author : V. Z. Aladjev
Publisher : Fultus Corporation
Page : 480 pages
File Size : 37,92 MB
Release : 2010-09
Category : Computers
ISBN : 1596822228
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.
Author : Victor Aladjev
Publisher : Lulu.com
Page : 565 pages
File Size : 33,30 MB
Release : 2015-06-08
Category : Computers
ISBN : 1329199979
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.
Author : Victor Aladjev
Publisher : Lulu.com
Page : 257 pages
File Size : 26,73 MB
Release : 2014-10-17
Category : Education
ISBN : 9985950879
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.
Author : Andrew Adamatzky
Publisher : CRC Press
Page : 404 pages
File Size : 12,76 MB
Release : 2001-06-22
Category : Science
ISBN : 1420034545
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.
Author : Victor Aladjev
Publisher : Fultus Corporation
Page : 565 pages
File Size : 17,35 MB
Release : 2004
Category : Algebra
ISBN : 1596820004
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
Author : Tullio Ceccherini-Silberstein
Publisher : Springer Science & Business Media
Page : 446 pages
File Size : 37,67 MB
Release : 2010-08-24
Category : Computers
ISBN : 3642140343
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.
Author : Tommaso Toffoli
Publisher : MIT Press
Page : 284 pages
File Size : 29,65 MB
Release : 1987
Category : Computers
ISBN : 9780262200608
Theory of Computation -- Computation by Abstracts Devices.
Author : Stephen Wolfram
Publisher : CRC Press
Page : 615 pages
File Size : 45,42 MB
Release : 2018-03-08
Category : Mathematics
ISBN : 0429973721
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 : Victor Malyshkin
Publisher : Springer Science & Business Media
Page : 516 pages
File Size : 26,98 MB
Release : 1995-08-16
Category : Computers
ISBN : 9783540602224
Proceedings -- Parallel Computing.
Author : Andrew Ilachinski
Publisher : World Scientific
Page : 844 pages
File Size : 20,74 MB
Release : 2001
Category : Technology & Engineering
ISBN : 9789812381835
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.
