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A General Theory of Entropy

A General Theory of Entropy PDF Author: Kofi Kissi Dompere
Publisher: Springer
ISBN: 3030181596
Category : Technology & Engineering
Languages : en
Pages : 247

Book Description
This book presents an epistemic framework for dealing with information-knowledge and certainty-uncertainty problems within the space of quality-quantity dualities. It bridges between theoretical concepts of entropy and entropy measurements, proposing the concept and measurement of fuzzy-stochastic entropy that is applicable to all areas of knowing under human cognitive limitations over the epistemological space. The book builds on two previous monographs by the same author concerning theories of info-statics and info-dynamics, to deal with identification and transformation problems respectively. The theoretical framework is developed by using the toolboxes such as those of the principle of opposites, systems of actual-potential polarities and negative-positive dualities, under different cost-benefit time-structures. The category theory and the fuzzy paradigm of thought, under methodological constructionism-reductionism duality, are used in the fuzzy-stochastic and cost-benefit spaces to point to directions of global application in knowing, knowledge and decision-choice actions. Thus, the book is concerned with a general theory of entropy, showing how the fuzzy paradigm of thought is developed to deal with the problems of qualitative-quantitative uncertainties over the fuzzy-stochastic space, which will be applicable to conditions of soft-hard data, fact, evidence and knowledge over the spaces of problem-solution dualities, decision-choice actions in sciences, non-sciences, engineering and planning sciences to abstract acceptable information-knowledge elements.

A General Theory of Entropy

A General Theory of Entropy PDF Author: Kofi Kissi Dompere
Publisher: Springer
ISBN: 3030181596
Category : Technology & Engineering
Languages : en
Pages : 247

Book Description
This book presents an epistemic framework for dealing with information-knowledge and certainty-uncertainty problems within the space of quality-quantity dualities. It bridges between theoretical concepts of entropy and entropy measurements, proposing the concept and measurement of fuzzy-stochastic entropy that is applicable to all areas of knowing under human cognitive limitations over the epistemological space. The book builds on two previous monographs by the same author concerning theories of info-statics and info-dynamics, to deal with identification and transformation problems respectively. The theoretical framework is developed by using the toolboxes such as those of the principle of opposites, systems of actual-potential polarities and negative-positive dualities, under different cost-benefit time-structures. The category theory and the fuzzy paradigm of thought, under methodological constructionism-reductionism duality, are used in the fuzzy-stochastic and cost-benefit spaces to point to directions of global application in knowing, knowledge and decision-choice actions. Thus, the book is concerned with a general theory of entropy, showing how the fuzzy paradigm of thought is developed to deal with the problems of qualitative-quantitative uncertainties over the fuzzy-stochastic space, which will be applicable to conditions of soft-hard data, fact, evidence and knowledge over the spaces of problem-solution dualities, decision-choice actions in sciences, non-sciences, engineering and planning sciences to abstract acceptable information-knowledge elements.

Social Entropy Theory

Social Entropy Theory PDF Author: Kenneth D. Bailey
Publisher: SUNY Press
ISBN: 9780791400562
Category : Social Science
Languages : en
Pages : 336

Book Description
Social Entropy Theory illuminates the fundamental problems of societal analysis with a nonequilibrium approach, a new frame of reference built upon contemporary macrological principles, including general systems theory and information theory. Social entropy theory, using Shannon's H and the entropy concept, avoids the common (and often artificial) separation of theory and method in sociology. The hallmark of the volume is integration, as seen in the author's interdisciplinary discussions of equilibrium, entropy, and homeostasis. Unique features of the book are the introduction of the three-level model of social measurement, the theory of allocation, the concepts of global-mutable-immutable, discussion of order and power, and a large set of testable hypotheses.

Entropy and Information Theory

Entropy and Information Theory PDF Author: Robert M. Gray
Publisher: Springer Science & Business Media
ISBN: 1475739826
Category : Computers
Languages : en
Pages : 346

Book Description
This book is devoted to the theory of probabilistic information measures and their application to coding theorems for information sources and noisy channels. The eventual goal is a general development of Shannon's mathematical theory of communication, but much of the space is devoted to the tools and methods required to prove the Shannon coding theorems. These tools form an area common to ergodic theory and information theory and comprise several quantitative notions of the information in random variables, random processes, and dynamical systems. Examples are entropy, mutual information, conditional entropy, conditional information, and discrimination or relative entropy, along with the limiting normalized versions of these quantities such as entropy rate and information rate. Much of the book is concerned with their properties, especially the long term asymptotic behavior of sample information and expected information. This is the only up-to-date treatment of traditional information theory emphasizing ergodic theory.

Non-equilibrium Thermodynamics and Statistical Mechanics

Non-equilibrium Thermodynamics and Statistical Mechanics PDF Author: Phil Attard
Publisher: Oxford University Press
ISBN: 0199662762
Category : Science
Languages : en
Pages : 479

Book Description
This title builds from basic principles to advanced techniques, and covers the major phenomena, methods, and results of time-dependent systems. It is a pedagogic introduction, a comprehensive reference manual, and an original research monograph--

The General Theory of Thermodynamics

The General Theory of Thermodynamics PDF Author: Joseph Ellis Trevor
Publisher:
ISBN:
Category : Thermodynamics
Languages : en
Pages : 128

Book Description


Discover Entropy and the Second Law of Thermodynamics

Discover Entropy and the Second Law of Thermodynamics PDF Author:
Publisher:
ISBN: 9814465267
Category :
Languages : en
Pages :

Book Description


Order and Time

Order and Time PDF Author: Ronald Christensen
Publisher:
ISBN:
Category : Causality (Physics)
Languages : en
Pages : 160

Book Description


Entropy and Information

Entropy and Information PDF Author: Mikhail V. Volkenstein
Publisher: Springer Science & Business Media
ISBN: 303460078X
Category : Science
Languages : en
Pages : 210

Book Description
This is just...entropy, he said, thinking that this explained everything, and he repeated the strange word a few times. 1 ? Karel Capek , “Krakatit” This “strange word” denotes one of the most basic quantities of the physics of heat phenomena, that is, of thermodynamics. Although the concept of entropy did indeed originate in thermodynamics, it later became clear that it was a more universal concept, of fundamental signi?cance for chemistry and biology, as well as physics. Although the concept of energy is usually considered more important and easier to grasp, it turns out, as we shall see, that the idea of entropy is just as substantial—and moreover not all that complicated. We can compute or measure the quantity of energy contained in this sheet of paper, and the same is true of its entropy. Furthermore, entropy has remarkable properties. Our galaxy, the solar system, and the biosphere all take their being from entropy, as a result of its transferenceto the surrounding medium. Thereis a surprisingconnectionbetween entropyandinformation,thatis,thetotalintelligencecommunicatedbyamessage. All of this is expounded in the present book, thereby conveying informationto the readeranddecreasinghis entropy;butitis uptothe readertodecidehowvaluable this information might be.

A General Theory of Fluid Mechanics

A General Theory of Fluid Mechanics PDF Author: Peiqing Liu
Publisher: Springer Nature
ISBN: 9813366605
Category : Technology & Engineering
Languages : en
Pages : 659

Book Description
This book provides a general introduction to fluid mechanics in the form of biographies and popular science. Based on the author’s extensive teaching experience, it combines natural science and human history, knowledge inheritance and cognition law to replace abstract concepts of fluid mechanics with intuitive and understandable physical concepts. In seven chapters, it describes the development of fluid mechanics, aerodynamics, hydrodynamics, computational fluid dynamics, experimental fluid dynamics, wind tunnel and water tunnel equipment, the mystery of flight and aerodynamic principles, and leading figures in fluid mechanics in order to spark beginners’ interest and allow them to gain a comprehensive understanding of the field’s development. It also provides a list of references for further study.

Mathematical Theory of Entropy

Mathematical Theory of Entropy PDF Author: Nathaniel F. G. Martin
Publisher: Cambridge University Press
ISBN: 9780521177382
Category : Computers
Languages : en
Pages : 292

Book Description
This excellent 1981 treatment of the mathematical theory of entropy gives an accessible exposition its application to other fields.