Consciousness Cognition And Crosstalk The Evolutionary Exaptation Of Nonergodic Groupoid Symmetry Breaking
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Consciousness Cognition And Crosstalk The Evolutionary Exaptation Of Nonergodic Groupoid Symmetry Breaking
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Author : Rodrick Wallace
language : en
Publisher: Springer Nature
Release Date : 2021-10-20
Consciousness Cognition And Crosstalk The Evolutionary Exaptation Of Nonergodic Groupoid Symmetry Breaking written by Rodrick Wallace and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-20 with Technology & Engineering categories.
This book makes application to the dynamics of arousal and distraction, and to other examples. A modified version of the Kadanoff picture of phase transitions in consciousness emerges from the Morse Function itself in a surprisingly standard manner, closely associated with the breaking of groupoid symmetries driven by fundamental equivalence class algebras. Although this is far indeed from the familiar world of physical theory, it should be possible, on the basis of the probability models developed in the book, to develop new statistical tools for the analysis of observational and empirical data regarding cognition and consciousness.
Essays On The Extended Evolutionary Synthesis
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Author : Rodrick Wallace
language : en
Publisher: Springer Nature
Release Date : 2023-05-18
Essays On The Extended Evolutionary Synthesis written by Rodrick Wallace and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-18 with Science categories.
From the ‘punctuated equilibrium' of Eldrege and Gould, through Lewontin's ‘triple helix' and the various visions and revisions of the Extended Evolutionary Synthesis (EES) of Laland and others, both data and theory have demanded an opening-up of the 1950's Evolutionary Synthesis that so firmly wedded evolutionary theory to the mathematics of gene frequency analysis. It can, however, be argued that a single deep and comprehensive mathematical theory may simply not be possible for the almost infinite varieties of evolutionary process active at and across the full range of scales of biological, social, institutional, and cultural phenomena. Indeed, the case history of 'meme theory' should have raised a red flag that narrow gene-centered models of evolutionary process may indeed have serious limitations. What is attempted here is less grand, but still broader than a gene-centered analysis. Following the instruction of Maturana and Varela that all living systems are cognitive, in a certainsense, and that living as a process is a process of cognition, the asymptotic limit theorems of information and control theories that bound all cognition provide a basis for constructing an only modestly deep but wider-ranging series of probability models that might be converted into useful statistical tools for the analysis of observational and experimental data related to evolutionary process. The line of argument in this series of interrelated essays proves to be surprisingly direct.
Mathematical Essays On Embodied Cognition
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Author : Rodrick Wallace
language : en
Publisher: Springer Nature
Release Date : 2025-05-13
Mathematical Essays On Embodied Cognition written by Rodrick Wallace and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-13 with Technology & Engineering categories.
This book provides a unique formal foundation for the development of statistical tools useful in the exploration of observational and experimental data related to embodied cognition. The asymptotic limit theorems of information and control theories can be used to construct statistical tools analogous to -- but different from -- regression models for the study of the often highly punctuated cognitive phenomena embedded in and hence influenced by a surrounding ecosystem of which the phenomena are themselves part. The book builds probability models based on those theorems that incorporate embodiment at a number of scales and levels of organization, ranging from the effects of stress on the immune system within a higher organism, through institutional (and machine) cognition under challenge from adversaries, to the failure of public health institutions under pathogen challenge. In distinct contrast to the existing literature, many detailed, worked-out examples provide templates for sophisticated readers to build their own model/tool constructs.
Essays On Strategy And Public Health
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Author : Rodrick Wallace
language : en
Publisher: Springer Nature
Release Date : 2022-04-01
Essays On Strategy And Public Health written by Rodrick Wallace and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-01 with Political Science categories.
This book is a collection of essays that explore commonalities and contrasts between strategy in armed conflict and strategy in public health. The first part uses the asymptotic limit theorems of information and control theories to study strategy as an exchange of messages between adversaries, in the context of underlying power relations. The ‘messages’ to be exchanged are constructed from an ‘alphabet’ of tactics available to each contender, in a large sense. The second part of the book explores four case histories from this perspective, ranging across agribusiness-generated pandemics, through tuberculosis and COVID-19. The final chapter attempts a strategic synthesis applicable more specifically to public health than to the remarkably – and disturbingly -- close parallel of armed conflict. Taking a unique approach to public health tactics and strategy this volume will be of interest to social epidemiologists, public health economists, public policy scientists, as well as public health researchers and practitioners.
Deception And Delay In Organized Conflict
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Author : Rodrick Wallace
language : en
Publisher: Springer Nature
Release Date : 2022-02-25
Deception And Delay In Organized Conflict written by Rodrick Wallace and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-25 with Technology & Engineering categories.
This book explores the role of deception, delay, and self-deception in the dynamics of organized conflict, taking a formal approach that hews closely to the asymptotic limit theorems of information and control theories. The resulting probability models can, with some effort—and some confidence—be converted to statistical tools for the analysis of real-time observational and ‘experimental’ data on institutionalized confrontation across both traditional and emerging ‘Clausewitz Landscapes’.
Invariant Manifolds
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Author : M.W. Hirsch
language : en
Publisher: Springer
Release Date : 2006-11-15
Invariant Manifolds written by M.W. Hirsch and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Geometry And Topology In Hamiltonian Dynamics And Statistical Mechanics
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Author : Marco Pettini
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-14
Geometry And Topology In Hamiltonian Dynamics And Statistical Mechanics written by Marco Pettini 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 2007-06-14 with Mathematics categories.
Itisaspecialpleasureformetowritethisforewordforaremarkablebookbya remarkableauthor.MarcoPettiniisadeepthinker,whohasspentmanyyears probing the foundations of Hamiltonian chaos and statistical mechanics, in particular phase transitions, from the point of view of geometry and topology. Itisinparticularthequalityofmindoftheauthorandhisdeepphysical,as well as mathematical insights which make this book so special and inspiring. It is a “must” for those who want to venture into a new approach to old problems or want to use new tools for new problems. Although topology has penetrated a number of ?elds of physics, a broad participationoftopologyintheclari?cationandprogressoffundamentalpr- lems in the above-mentioned ?elds has been lacking. The new perspectives topology gives to the above-mentioned problems are bound to help in their clari?cation and to spread to other ?elds of science. The sparsity of geometric thinking and of its use to solve fundamental problems, when compared with purely analytical methods in physics, could be relieved and made highly productive using the material discussed in this book. It is unavoidable that the physicist reader may have then to learn some new mathematics and be challenged to a new way of thinking, but with the author as a guide, he is assured of the best help in achieving this that is presently available.
Lectures On Bifurcations Dynamics And Symmetry
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Author : Michael Field
language : en
Publisher: CRC Press
Release Date : 1996-09-11
Lectures On Bifurcations Dynamics And Symmetry written by Michael Field and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-09-11 with Mathematics categories.
This book is an expanded version of a Master Class on the symmetric bifurcation theory of differential equations given by the author at the University of Twente in 1995. The notes cover a wide range of recent results in the subject, and focus on the dynamics that can appear in the generic bifurcation theory of symmetric differential equations. Many of the results and examples in the book are new and have not been previously published. The first four chapters contain an accessible presentation of the fundamental work by Field and Richardson on symmetry breaking and the Maximal Isotropy Subgroup Conjecture. The remainder of the book focuses on recent research of the author and includes chapters on the invariant sphere theorem, coupled cell systems, heteroclinic cycles , equivariant transversality, and an Appendix (with Xiaolin Peng) giving a new low dimensional counterexample to the converse of the Maximal Isotropy Subgroup Conjecture. The chapter on coupled cell systems includes a weath of new examples of 'cycling chaos'. The chapter on equivariant transversality is introductory and centres on an extended discussion of an explicit system of four coupled nonlinear oscillators. The style and format of the original lectures has largely been maintained and the notes include over seventy exercises *with hints for solutions and suggestions kfor further reading). In general terms, the notes are directed at mathematicians and aplied scientists working in the field of bifurcation theory who wish to learn about some of the latest developments and techniques in equivariant bifurcation theory. The notes are relatively self-contained and are structured so that they can form the basis for a graduate level course in equivariant bifurcation theory.
Weakly Connected Neural Networks
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Author : Frank C. Hoppensteadt
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Weakly Connected Neural Networks written by Frank C. Hoppensteadt 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.
This book is devoted to an analysis of general weakly connected neural networks (WCNNs) that can be written in the form (0.1) m Here, each Xi E IR is a vector that summarizes all physiological attributes of the ith neuron, n is the number of neurons, Ii describes the dynam ics of the ith neuron, and gi describes the interactions between neurons. The small parameter € indicates the strength of connections between the neurons. Weakly connected systems have attracted much attention since the sec ond half of seventeenth century, when Christian Huygens noticed that a pair of pendulum clocks synchronize when they are attached to a light weight beam instead of a wall. The pair of clocks is among the first weakly connected systems to have been studied. Systems of the form (0.1) arise in formal perturbation theories developed by Poincare, Liapunov and Malkin, and in averaging theories developed by Bogoliubov and Mitropolsky.
Mathematical Foundations Of Information Theory
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Author : Aleksandr I︠A︡kovlevich Khinchin
language : en
Publisher: Courier Corporation
Release Date : 1957
Mathematical Foundations Of Information Theory written by Aleksandr I︠A︡kovlevich Khinchin and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1957 with Mathematics categories.
One day Tim arrives home to discover that his parents have gone away. He joins a ship as cabin boy and visits many seaside ports in search of them. Only as a result of being shipwrecked is he finally reunited with his parents.