Irreducibility And Computational Equivalence

Irreducibility And Computational Equivalence Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Irreducibility And Computational Equivalence book. This book definitely worth reading, it is an incredibly well-written.

Irreducibility and Computational Equivalence

Author : Hector Zenil
Publisher : Springer Science & Business Media
Page : 354 pages
File Size : 40,7 Mb
Release : 2012-12-25
Category : Technology & Engineering
ISBN : 9783642354823

Get Book

Irreducibility and Computational Equivalence by Hector Zenil Pdf

It is clear that computation is playing an increasingly prominent role in the development of mathematics, as well as in the natural and social sciences. The work of Stephen Wolfram over the last several decades has been a salient part in this phenomenon helping founding the field of Complex Systems, with many of his constructs and ideas incorporated in his book A New Kind of Science (ANKS) becoming part of the scientific discourse and general academic knowledge--from the now established Elementary Cellular Automata to the unconventional concept of mining the Computational Universe, from today's widespread Wolfram's Behavioural Classification to his principles of Irreducibility and Computational Equivalence. This volume, with a Foreword by Gregory Chaitin and an Afterword by Cris Calude, covers these and other topics related to or motivated by Wolfram's seminal ideas, reporting on research undertaken in the decade following the publication of Wolfram's NKS book. Featuring 39 authors, its 23 contributions are organized into seven parts: Mechanisms in Programs & Nature Systems Based on Numbers & Simple Programs Social and Biological Systems & Technology Fundamental Physics The Behavior of Systems & the Notion of Computation Irreducibility & Computational Equivalence Reflections and Philosophical Implications.

A New Kind of Science

Author : Stephen Wolfram
Publisher : Unknown
Page : 1197 pages
File Size : 45,9 Mb
Release : 2002
Category : Cellular automata
ISBN : 071399116X

Get Book

A New Kind of Science by Stephen Wolfram Pdf

This work presents a series of dramatic discoveries never before made public. Starting from a collection of simple computer experiments---illustrated in the book by striking computer graphics---Wolfram shows how their unexpected results force a whole new way of looking at the operation of our universe. Wolfram uses his approach to tackle a remarkable array of fundamental problems in science: from the origin of the Second Law of thermodynamics, to the development of complexity in biology, the computational limitations of mathematics, the possibility of a truly fundamental theory of physics, and the interplay between free will and determinism.

Distributed Computing and Artificial Intelligence, 11th International Conference

Author : Sigeru Omatu,Hugues Bersini,Juan M. Corchado,Sara Rodríguez,Paweł Pawlewski,Edgardo Bucciarelli
Publisher : Springer
Page : 562 pages
File Size : 43,5 Mb
Release : 2014-05-30
Category : Technology & Engineering
ISBN : 9783319075938

Get Book

Distributed Computing and Artificial Intelligence, 11th International Conference by Sigeru Omatu,Hugues Bersini,Juan M. Corchado,Sara Rodríguez,Paweł Pawlewski,Edgardo Bucciarelli Pdf

The 11th International Symposium on Distributed Computing and Artificial Intelligence 2014 (DCAI 2014) is a forum to present applications of innovative techniques for studying and solving complex problems. The exchange of ideas between scientists and technicians from both the academic and industrial sector is essential to facilitate the development of systems that can meet the ever-increasing demands of today’s society. The present edition brings together past experience, current work and promising future trends associated with distributed computing, artificial intelligence and their application in order to provide efficient solutions to real problems. This year’s technical program presents both high quality and diversity, with contributions in well-established and evolving areas of research (Algeria, Brazil, China, Croatia, Czech Republic, Denmark, France, Germany, Ireland, Italy, Japan, Malaysia, Mexico, Poland, Portugal, Republic of Korea, Spain, Taiwan, Tunisia, Ukraine, United Kingdom), representing a truly “wide area network” of research activity. DCAI'14 Special Sessions have been a very useful tool in order to complement the regular program with new or emerging topics of particular interest to the participating community. Special Sessions that emphasize on multi-disciplinary and transversal aspects, such as AI-driven methods for Multimodal Networks and Processes Modeling and Multi-Agents Macroeconomics have been especially encouraged and welcome. This symposium is organized by the Bioinformatics, Intelligent System and Educational Technology Research Group (http://bisite.usal.es/) of the University of Salamanca. The present edition was held in Salamanca, Spain, from 4th to 6th June 2014.

Symmetry and Complexity

Author : Klaus Mainzer
Publisher : World Scientific
Page : 448 pages
File Size : 49,9 Mb
Release : 2005-06-10
Category : Science
ISBN : 9789814480819

Get Book

Symmetry and Complexity by Klaus Mainzer Pdf

' Cosmic evolution leads from symmetry to complexity by symmetry breaking and phase transitions. The emergence of new order and structure in nature and society is explained by physical, chemical, biological, social and economic self-organization, according to the laws of nonlinear dynamics. All these dynamical systems are considered computational systems processing information and entropy. Are symmetry and complexity only useful models of science or are they universals of reality? Symmetry and Complexity discusses the fascinating insights gained from natural, social and computer sciences, philosophy and the arts. With many diagrams and pictures, this book illustrates the spirit and beauty of nonlinear science. In the complex world of globalization, it strongly argues for unity in diversity. Contents:Symmetry and Complexity in Early Culture and PhilosophySymmetry and Complexity in MathematicsSymmetry and Complexity in Physical SciencesSymmetry and Complexity in Chemical SciencesSymmetry and Complexity in Life SciencesSymmetry and Complexity in Economic and Social SciencesSymmetry and Complexity in Computer ScienceSymmetry and Complexity in Philosophy and Arts Readership: Upper-level undergraduates, graduate students, researchers, academics, and professionals in interdisciplinary sciences. Keywords:Symmetry;Symmetry Breaking;Complexity;Nonlinear Science;Dynamical System;Chaos;Bifurcation;Fractal;Computational System;Information Dynamics;Philosophy of Science;ArtsKey Features:Valuable insights from natural, social and computer sciencesAttractive pictures and illustrations enhancing the spirit and beauty of nonlinear scienceReviews:“This outstanding book is a general overview of the notion of symmetry and its many connections to the ideas of complexity … The book will be especially useful to the intelligent general reader as well as advanced undergraduate students looking for challenging technical problems to solve, reconfigure, or redefine.”Zentralblatt MATH '

Modular Forms, a Computational Approach

Author : William A. Stein
Publisher : American Mathematical Soc.
Page : 290 pages
File Size : 44,7 Mb
Release : 2007-02-13
Category : Mathematics
ISBN : 9780821839607

Get Book

Modular Forms, a Computational Approach by William A. Stein Pdf

This marvellous and highly original book fills a significant gap in the extensive literature on classical modular forms. This is not just yet another introductory text to this theory, though it could certainly be used as such in conjunction with more traditional treatments. Its novelty lies in its computational emphasis throughout: Stein not only defines what modular forms are, but shows in illuminating detail how one can compute everything about them in practice. This is illustrated throughout the book with examples from his own (entirely free) software package SAGE, which really bring the subject to life while not detracting in any way from its theoretical beauty. The author is the leading expert in computations with modular forms, and what he says on this subject is all tried and tested and based on his extensive experience. As well as being an invaluable companion to those learning the theory in a more traditional way, this book will be a great help to those who wish to use modular forms in applications, such as in the explicit solution of Diophantine equations. There is also a useful Appendix by Gunnells on extensions to more general modular forms, which has enough in it to inspire many PhD theses for years to come. While the book's main readership will be graduate students in number theory, it will also be accessible to advanced undergraduates and useful to both specialists and non-specialists in number theory. --John E. Cremona, University of Nottingham William Stein is an associate professor of mathematics at the University of Washington at Seattle. He earned a PhD in mathematics from UC Berkeley and has held positions at Harvard University and UC San Diego. His current research interests lie in modular forms, elliptic curves, and computational mathematics.

A Project to Find the Fundamental Theory of Physics

Author : Stephen Wolfram
Publisher : Wolfram Media
Page : 0 pages
File Size : 55,6 Mb
Release : 2020
Category : Science
ISBN : 1579550355

Get Book

A Project to Find the Fundamental Theory of Physics by Stephen Wolfram Pdf

The Wolfram Physics Project is a bold effort to find the fundamental theory of physics. It combines new ideas with the latest research in physics, mathematics and computation in the push to achieve this ultimate goal of science. Written with Stephen Wolfram's characteristic expository flair, this book provides a unique opportunity to learn about a historic initiative in science right as it is happening. A Project to Find the Fundamental Theory of Physics includes an accessible introduction to the project as well as core technical exposition and rich, never-before-seen visualizations.

Physical Perspectives on Computation, Computational Perspectives on Physics

Author : Michael E. Cuffaro,Samuel C. Fletcher
Publisher : Unknown
Page : 327 pages
File Size : 46,5 Mb
Release : 2018-05-17
Category : History
ISBN : 9781107171190

Get Book

Physical Perspectives on Computation, Computational Perspectives on Physics by Michael E. Cuffaro,Samuel C. Fletcher Pdf

Offers an accessible yet cutting-edge tour of the many conceptual interconnections between physics and computer science.

Computational Engineering of Historical Memories

Author : Andrea Nanetti
Publisher : Taylor & Francis
Page : 131 pages
File Size : 44,5 Mb
Release : 2022-09-26
Category : History
ISBN : 9781000802085

Get Book

Computational Engineering of Historical Memories by Andrea Nanetti Pdf

Nanetti outlines a methodology for deploying artificial intelligence and machine learning to enhance historical research. Historical events are the treasure of human experiences, the heritage that societies have used to remain resilient and express their identities. Nanetti has created and developed an interdisciplinary methodology supported by practice-based research that serves as a pathway between historical and computer sciences to design and build computational structures that analyse how societies create narratives about historical events. This consilience pathway aims to make historical memory machine-understandable. It turns history into a computational discipline through an interdisciplinary blend of philological accuracy, historical scholarship, history-based media projects, and computational tools. Nanetti presents the theory behind this methodology from a humanities perspective and discusses its practical application in user interface and experience. An essential read for historians and scholars working in the digital humanities.

Adventures of a Computational Explorer

Author : Stephen Wolfram
Publisher : Wolfram Media
Page : 0 pages
File Size : 49,9 Mb
Release : 2019
Category : Computer science
ISBN : 1579550266

Get Book

Adventures of a Computational Explorer by Stephen Wolfram Pdf

Collection of essays the author has written over the past dozen years for various occasions.

The Cellular Automaton Interpretation of Quantum Mechanics

Author : Gerard 't Hooft
Publisher : Springer
Page : 296 pages
File Size : 40,7 Mb
Release : 2016-09-02
Category : Science
ISBN : 9783319412856

Get Book

The Cellular Automaton Interpretation of Quantum Mechanics by Gerard 't Hooft Pdf

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.

Agent-Based Computational Economics

Author : Shu-Heng Chen
Publisher : Routledge
Page : 508 pages
File Size : 54,9 Mb
Release : 2017-09-19
Category : Business & Economics
ISBN : 9781317560920

Get Book

Agent-Based Computational Economics by Shu-Heng Chen Pdf

This book aims to answer two questions that are fundamental to the study of agent-based economic models: what is agent-based computational economics and why do we need agent-based economic modelling of economy? This book provides a review of the development of agent-based computational economics (ACE) from a perspective on how artificial economic agents are designed under the influences of complex sciences, experimental economics, artificial intelligence, evolutionary biology, psychology, anthropology and neuroscience. This book begins with a historical review of ACE by tracing its origins. From a modelling viewpoint, ACE brings truly decentralized procedures into market analysis, from a single market to the whole economy. This book also reviews how experimental economics and artificial intelligence have shaped the development of ACE. For the former, the book discusses how ACE models can be used to analyse the economic consequences of cognitive capacity, personality and cultural inheritance. For the latter, the book covers the various tools used to construct artificial adaptive agents, including reinforcement learning, fuzzy decision rules, neural networks, and evolutionary computation. This book will be of interest to graduate students researching computational economics, experimental economics, behavioural economics, and research methodology.

The Oxford Handbook of Computational Economics and Finance

Author : Shu-Heng Chen,Mak Kaboudan,Ye-Rong Du
Publisher : Oxford University Press
Page : 128 pages
File Size : 50,8 Mb
Release : 2018-01-12
Category : Business & Economics
ISBN : 9780199844388

Get Book

The Oxford Handbook of Computational Economics and Finance by Shu-Heng Chen,Mak Kaboudan,Ye-Rong Du Pdf

The Oxford Handbook of Computational Economics and Finance provides a survey of both the foundations of and recent advances in the frontiers of analysis and action. It is both historically and interdisciplinarily rich and also tightly connected to the rise of digital society. It begins with the conventional view of computational economics, including recent algorithmic development in computing rational expectations, volatility, and general equilibrium. It then moves from traditional computing in economics and finance to recent developments in natural computing, including applications of nature-inspired intelligence, genetic programming, swarm intelligence, and fuzzy logic. Also examined are recent developments of network and agent-based computing in economics. How these approaches are applied is examined in chapters on such subjects as trading robots and automated markets. The last part deals with the epistemology of simulation in its trinity form with the integration of simulation, computation, and dynamics. Distinctive is the focus on natural computationalism and the examination of the implications of intelligent machines for the future of computational economics and finance. Not merely individual robots, but whole integrated systems are extending their "immigration" to the world of Homo sapiens, or symbiogenesis.

Design for a Living Planet

Author : Michael Mehaffy and Nikos A. Salingaros
Publisher : Sustasis Press
Page : 128 pages
File Size : 52,7 Mb
Release : 2017-05-30
Category : Architecture
ISBN : 9780989346962

Get Book

Design for a Living Planet by Michael Mehaffy and Nikos A. Salingaros Pdf

In this brief, accessible volume, the authors — an urban philosopher and a mathematician-physicist — explain the surprising new findings from the sciences that are beginning to transform environmental design in the modern era. Authors Michael Mehaffy and Nikos Salingaros explore fractals, networks, self-organization, dynamical systems and other revolutionary ideas, describing them to non-science readers in a direct and engaging way. The book also examines fascinating new topics of design, including Agile, Wiki, Design Patterns and other “open-source” approaches from the software world. The authors conclude that a profound transformation is under way in modern design — and today’s students and practitioners will need to be aware of its implications for our future. “Lucidly describes what’s coming in the world of design — and what needs to come.” — Ward Cunningham, Inventor of wiki, and pioneer of Pattern Languages of Programming, Agile, and Scrum “Essential reading for all urban designers.” — Jeff Speck, Author of Walkable City “Brilliant.” — Charles Montgomery, Author of Happy City “Inspired, compelling and fascinating… Recognizes that a true architecture can be dug from the facts, insights, and theories, that occur with a broadening of science to include the human being.” — Christopher Alexander, Author of A Pattern Language and Notes on the Synthesis of Form Some comments on the individual chapters: “Packed with detail and beautiful in presentation.” — Gil Friend “Human society must find a path of retreat. Salingaros and Mehaffy point the way.” — David Brussat, Providence Journal “Michael Mehaffy and Nikos Salingaros have written some brilliant articles on how we can co-create cities which are truly resilient, rather than being ‘engineered resilient’.” — Smallworld Urbanism “For me, this essay was like a flash of insight, and I suddenly saw the world in a new light.” — Oeyvind Holmstad, Permaliv “We’ve just come across a very thoughtful article by Michael Mehaffy and Nikos Salingaros… [who] draw a number of lessons from biological systems and use them to draw conclusions about how resilient human systems must be designed.” — Resilient Design Institute “Salingaros and Mehaffy take us from the configuration of city spaces to the order of cells in living beings.” — Jaap Dawson, Delft Institute of Technology “If you wanted to know where the cutting edge was in urban design, it is here.” — Patrick J. Kennedy, CarFreeInBigD “This is the single most intelligent and illuminating article I’ve seen on Archdaily in 3 years.” — Nìming Pínglùn Zhě, China Michael Mehaffy is an urbanist and design theorist, and a periodic visiting professor or adjunct in five graduate universities in four countries and three disciplines (architecture, urban planning and philosophy) including the University of Oregon (US) and the University of Strathclyde (UK). He has been a close associate of the architect and software pioneer Christopher Alexander, and a Research Associate with the Center for Environmental Structure, Alexander’s research center founded in 1967. He is currently executive director of Portland, Oregon based Sustasis Foundation, and editor of Sustasis Press. Nikos A. Salingaros is a mathematician and polymath known for his work on urban theory, architectural theory, complexity theory, and design philosophy. He has been a close collaborator of the architect and computer software pioneer Christopher Alexander. Salingaros published substantive research on Algebras, Mathematical Physics, Electromagnetic Fields, and Thermonuclear Fusion before turning his attention to Architecture and Urbanism. He is Professor of Mathematics at the University of Texas at San Antonio and has been on the Architecture faculties of universities in Italy, Mexico, and The Netherlands.

The Once and Future Turing

Author : S. Barry Cooper,Andrew Hodges
Publisher : Cambridge University Press
Page : 398 pages
File Size : 47,9 Mb
Release : 2016-03-24
Category : Computers
ISBN : 9781107010833

Get Book

The Once and Future Turing by S. Barry Cooper,Andrew Hodges Pdf

Original essays by world-leading researchers reveal Alan Turing's lasting contributions to modern research.

Computing Nature

Author : Gordana Dodig-Crnkovic,Raffaela Giovagnoli
Publisher : Springer Science & Business Media
Page : 268 pages
File Size : 48,7 Mb
Release : 2013-03-21
Category : Technology & Engineering
ISBN : 9783642372254

Get Book

Computing Nature by Gordana Dodig-Crnkovic,Raffaela Giovagnoli Pdf

This book is about nature considered as the totality of physical existence, the universe, and our present day attempts to understand it. If we see the universe as a network of networks of computational processes at many different levels of organization, what can we learn about physics, biology, cognition, social systems, and ecology expressed through interacting networks of elementary particles, atoms, molecules, cells, (and especially neurons when it comes to understanding of cognition and intelligence), organs, organisms and their ecologies? Regarding our computational models of natural phenomena Feynman famously wondered: “Why should it take an infinite amount of logic to figure out what one tiny piece of space/time is going to do?” Phenomena themselves occur so quickly and automatically in nature. Can we learn how to harness nature’s computational power as we harness its energy and materials? This volume includes a selection of contributions from the Symposium on Natural Computing/Unconventional Computing and Its Philosophical Significance, organized during the AISB/IACAP World Congress 2012, held in Birmingham, UK, on July 2-6, on the occasion of the centenary of Alan Turing’s birth. In this book, leading researchers investigated questions of computing nature by exploring various facets of computation as we find it in nature: relationships between different levels of computation, cognition with learning and intelligence, mathematical background, relationships to classical Turing computation and Turing’s ideas about computing nature - unorganized machines and morphogenesis. It addresses questions of information, representation and computation, interaction as communication, concurrency and agent models; in short this book presents natural computing and unconventional computing as extension of the idea of computation as symbol manipulation.