Mathematical Analysis Of Evolution Information And Complexity


Mathematical Analysis Of Evolution Information And Complexity
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Mathematical Analysis Of Evolution Information And Complexity


Mathematical Analysis Of Evolution Information And Complexity
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Author : Wolfgang Arendt
language : en
Publisher: John Wiley & Sons
Release Date : 2009-07-10

Mathematical Analysis Of Evolution Information And Complexity written by Wolfgang Arendt and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-10 with Science categories.


Mathematical Analysis of Evolution, Information, and Complexity deals with the analysis of evolution, information and complexity. The time evolution of systems or processes is a central question in science, this text covers a broad range of problems including diffusion processes, neuronal networks, quantum theory and cosmology. Bringing together a wide collection of research in mathematics, information theory, physics and other scientific and technical areas, this new title offers elementary and thus easily accessible introductions to the various fields of research addressed in the book.



Foundations Of Complex Systems


Foundations Of Complex Systems
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Author : G. Nicolis
language : en
Publisher: World Scientific
Release Date : 2012

Foundations Of Complex Systems written by G. Nicolis and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.


This book provides a self-contained presentation of the physical and mathematical laws governing complex systems. Complex systems arising in natural, engineering, environmental, life and social sciences are approached from a unifying point of view using an array of methodologies such as microscopic and macroscopic level formulations, deterministic and probabilistic tools, modeling and simulation. The book can be used as a textbook by graduate students, researchers and teachers in science, as well as non-experts who wish to have an overview of one of the most open, markedly interdisciplinary and fast-growing branches of present-day science.



Complexity Language And Life Mathematical Approaches


Complexity Language And Life Mathematical Approaches
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Author : John L. Casti
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Complexity Language And Life Mathematical Approaches written by John L. Casti 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 2012-12-06 with Mathematics categories.


In May 1984 the Swedish Council for Scientific Research convened a small group of investigators at the scientific research station at Abisko, Sweden, for the purpose of examining various conceptual and mathematical views of the evolution of complex systems. The stated theme of the meeting was deliberately kept vague, with only the purpose of discussing alternative mathematically based approaches to the modeling of evolving processes being given as a guideline to the participants. In order to limit the scope to some degree, it was decided to emphasize living rather than nonliving processes and to invite participants from a range of disciplinary specialities spanning the spectrum from pure and applied mathematics to geography and analytic philosophy. The results of the meeting were quite extraordinary; while there was no intent to focus the papers and discussion into predefined channels, an immediate self-organizing effect took place and the deliberations quickly oriented themselves into three main streams: conceptual and formal structures for characterizing sys tem complexity; evolutionary processes in biology and ecology; the emergence of complexity through evolution in natural lan guages. The chapters presented in this volume are not the proceed ings of the meeting. Following the meeting, the organizers felt that the ideas and spirit of the gathering should be preserved in some written form, so the participants were each requested to produce a chapter, explicating the views they presented at Abisko, written specifically for this volume. The results of this exercise form the volume you hold in your hand.



Foundations Of Complex Systems


Foundations Of Complex Systems
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FREE 30 Days

Author : G. Nicolis
language : en
Publisher: World Scientific
Release Date : 2012

Foundations Of Complex Systems written by G. Nicolis and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Computers categories.


This book provides a self-contained presentation of the physical and mathematical laws governing complex systems. Complex systems arising in natural, engineering, environmental, life and social sciences are approached from a unifying point of view using an array of methodologies such as microscopic and macroscopic level formulations, deterministic and probabilistic tools, modeling and simulation. The book can be used as a textbook by graduate students, researchers and teachers in science, as well as non-experts who wish to have an overview of one of the most open, markedly interdisciplinary and fast-growing branches of present-day science.



Mathematical Analysis And Numerical Methods For Science And Technology Evolution Problems Ii


Mathematical Analysis And Numerical Methods For Science And Technology Evolution Problems Ii
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Author : Robert Dautray
language : en
Publisher:
Release Date : 1900

Mathematical Analysis And Numerical Methods For Science And Technology Evolution Problems Ii written by Robert Dautray and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1900 with Mathematical analysis categories.




Handbook Of Evolution Equations


Handbook Of Evolution Equations
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Author : Gaston M. N'Guérékata
language : en
Publisher:
Release Date : 2012

Handbook Of Evolution Equations written by Gaston M. N'Guérékata and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Evolution equations categories.


This book presents current mathematical research in the study of evolution equations. Topics discussed include the complexity of evolutionary dynamics; variational hyperbolic inequality in spatial variables; the superposition of functions; evolutionary dynamics equations and the information law of evolution and time periodic solutions for quasigeostrophic motion and their stability.



The Engine Of Complexity


The Engine Of Complexity
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Author : John E. Mayfield
language : en
Publisher: Columbia University Press
Release Date : 2013-07-09

The Engine Of Complexity written by John E. Mayfield and has been published by Columbia University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-09 with Science categories.


The concepts of evolution and complexity theory have become part of the intellectual ether permeating the life sciences, the social and behavioral sciences, and, more recently, management science and economics. In this book, John E. Mayfield elegantly synthesizes core concepts from multiple disciplines to offer a new approach to understanding how evolution works and how complex organisms, structures, organizations, and social orders can and do arise based on information theory and computational science. Intended for the intellectually adventuresome, this book challenges and rewards readers with a nuanced understanding of evolution and complexity that offers consistent, durable, and coherent explanations for major aspects of our life experiences. Numerous examples throughout the book illustrate evolution and complexity formation in action and highlight the core function of computation lying at the work's heart.



Evolutionary Equations With Applications In Natural Sciences


Evolutionary Equations With Applications In Natural Sciences
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Author : Jacek Banasiak
language : en
Publisher: Springer
Release Date : 2014-11-07

Evolutionary Equations With Applications In Natural Sciences written by Jacek Banasiak and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-07 with Mathematics categories.


With the unifying theme of abstract evolutionary equations, both linear and nonlinear, in a complex environment, the book presents a multidisciplinary blend of topics, spanning the fields of theoretical and applied functional analysis, partial differential equations, probability theory and numerical analysis applied to various models coming from theoretical physics, biology, engineering and complexity theory. Truly unique features of the book are: the first simultaneous presentation of two complementary approaches to fragmentation and coagulation problems, by weak compactness methods and by using semigroup techniques, comprehensive exposition of probabilistic methods of analysis of long term dynamics of dynamical systems, semigroup analysis of biological problems and cutting edge pattern formation theory. The book will appeal to postgraduate students and researchers specializing in applications of mathematics to problems arising in natural sciences and engineering.



Novelty Information And Surprise


Novelty Information And Surprise
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Author : Günther Palm
language : en
Publisher: Springer Nature
Release Date : 2023-01-02

Novelty Information And Surprise written by Günther Palm and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-02 with Mathematics categories.


This revised edition offers an approach to information theory that is more general than the classical approach of Shannon. Classically, information is defined for an alphabet of symbols or for a set of mutually exclusive propositions (a partition of the probability space Ω) with corresponding probabilities adding up to 1. The new definition is given for an arbitrary cover of Ω, i.e. for a set of possibly overlapping propositions. The generalized information concept is called novelty and it is accompanied by two concepts derived from it, designated as information and surprise, which describe "opposite" versions of novelty, information being related more to classical information theory and surprise being related more to the classical concept of statistical significance. In the discussion of these three concepts and their interrelations several properties or classes of covers are defined, which turn out to be lattices. The book also presents applications of these concepts, mostly in statistics and in neuroscience.



Introduction To Evolutionary Informatics


Introduction To Evolutionary Informatics
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Author : Marks Ii Robert J
language : en
Publisher: World Scientific
Release Date : 2017-02-27

Introduction To Evolutionary Informatics written by Marks Ii Robert J and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-27 with Computers categories.


Science has made great strides in modeling space, time, mass and energy. Yet little attention has been paid to the precise representation of the information ubiquitous in nature. Introduction to Evolutionary Informatics fuses results from complexity modeling and information theory that allow both meaning and design difficulty in nature to be measured in bits. Built on the foundation of a series of peer-reviewed papers published by the authors, the book is written at a level easily understandable to readers with knowledge of rudimentary high school math. Those seeking a quick first read or those not interested in mathematical detail can skip marked sections in the monograph and still experience the impact of this new and exciting model of nature's information. This book is written for enthusiasts in science, engineering and mathematics interested in understanding the essential role of information in closely examined evolution theory.