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Author: Diogo Queiros Conde
Publisher: Elsevier
ISBN: 0081017901
Category : Science
Languages : en
Pages : 252
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Book Description
Fractal and Trans-scale Nature of Entropy: Towards a Geometrization of Thermodynamics develops a new vision for entropy in thermodynamics by proposing a new method to geometrize. It investigates how this approach can accommodate a large number of very different physical systems, going from combustion and turbulence towards cosmology. As an example, a simple interpretation of the Hawking entropy in black-hole physics is provided. In the life sciences, entropy appears as the driving element for the organization of systems. This book demonstrates this fact using simple pedagogical tools, thus showing that entropy cannot be interpreted as a basic measure of disorder. Develop a new vision of entropy in thermodynamics Study the concept of entropy Propose a simple interpretation the entropy of Hawking Demonstrate entropy as a measure of energy dispersal
Author: Diogo Queiros Conde
Publisher: Elsevier
ISBN: 0081017901
Category : Science
Languages : en
Pages : 252
Get Book
Book Description
Fractal and Trans-scale Nature of Entropy: Towards a Geometrization of Thermodynamics develops a new vision for entropy in thermodynamics by proposing a new method to geometrize. It investigates how this approach can accommodate a large number of very different physical systems, going from combustion and turbulence towards cosmology. As an example, a simple interpretation of the Hawking entropy in black-hole physics is provided. In the life sciences, entropy appears as the driving element for the organization of systems. This book demonstrates this fact using simple pedagogical tools, thus showing that entropy cannot be interpreted as a basic measure of disorder. Develop a new vision of entropy in thermodynamics Study the concept of entropy Propose a simple interpretation the entropy of Hawking Demonstrate entropy as a measure of energy dispersal
Author: Anne Dambricourt Malassé
Publisher: Springer Nature
ISBN: 3031047834
Category : Science
Languages : en
Pages : 393
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Book Description
The epistemological synthesis of the various theories of evolution, since the first formulation in 1802 with the transmission of the inherited characters by J.B. Lamarck, shows the need for an alternative synthesis to that of Princeton (1947). This new synthesis integrates the scientific models of self-organization developed during the second half of the 20th century based on the laws of physics, thermodynamics, and mathematics with the emergent evolutionary problematics such as self-organized memory. This book shows, how self-organization is integrated in modern evolutionary biology. It is divided in two parts: The first part pays attention to the modern observations in paleontology and biology, which include major theoreticians of the self-organization (d’Arcy Thompson, Henri Bergson, René Thom, Ilya Prigogine). The second part presents different emergent evolutionary models including the sciences of complexity, the non-linear dynamical systems, fractals, attractors, epigenesis, systemics, and mesology with different examples of the sciences of complexity and self-organization as observed in the human lineage, from both internal (embryogenesis-morphogenesis) and external (mesology) viewpoints.
Author: M Matsushita
Publisher: World Scientific
ISBN: 9814596809
Category : Science
Languages : en
Pages : 658
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Book Description
During the last couple of years, fractals have been shown to represent the common aspects of many complex processes occurring in an unusually diverse range of fields including biology, chemistry, earth sciences, physics and technology. Using fractal geometry as a language, it has become possible to get a deeper insight into previously intractable problems. Among many others, a better understanding of growth phenomena, turbulence, iteractive functions, colloidal aggregation, biological pattern formation and inhomogenous materials has emerged through the application of such concepts as scale invariance, self-affinity and multifractality.This volume contains a selection of high quality papers that discuss the latest developments in the research of fractals. It is divided into 5 sections and contains altogether 64 papers. Each paper is written by a well known author or authors in the field. Beginning each section is a short introduction, written by a prominent author, which gives a brief overview of the topics discussed in the respective sections.
Author: Christos H. Skiadas
Publisher: Springer Nature
ISBN: 3030395154
Category : Science
Languages : en
Pages : 309
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Book Description
Gathering the proceedings of the 12th CHAOS2019 International Conference, this book highlights recent developments in nonlinear, dynamical and complex systems. The conference was intended to provide an essential forum for Scientists and Engineers to exchange ideas, methods, and techniques in the field of Nonlinear Dynamics, Chaos, Fractals and their applications in General Science and the Engineering Sciences. The respective chapters address key methods, empirical data and computer techniques, as well as major theoretical advances in the applied nonlinear field. Beyond showcasing the state of the art, the book will help academic and industrial researchers alike apply chaotic theory in their studies.
Author: Eric Rosenberg
Publisher: Springer Nature
ISBN: 303043169X
Category : Computers
Languages : en
Pages : 530
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Book Description
Current interest in fractal dimensions of networks is the result of more than a century of previous research on dimensions. Fractal Dimensions of Networks ties the theory and methods for computing fractal dimensions of networks to the “classic” theory of dimensions of geometric objects. The goal of the book is to provide a unified treatment of fractal dimensions of sets and networks. Since almost all of the major concepts in fractal dimensions originated in the study of sets, the book achieves this goal by first clearly presenting, with an abundance of examples and illustrations, the theory and algorithms for sets, and then showing how the theory and algorithms have been applied to networks. Thus, the book presents the classical theory and algorithms for the box counting dimension for sets, and then presents the box counting dimension for networks. All the major fractal dimensions are studied, e.g., the correlation dimension, the information dimension, the Hausdorff dimension, the multifractal spectrum, as well as many lesser known dimensions. Algorithm descriptions are accompanied by worked examples, many applications of the methods are presented, and many exercises, ranging in difficulty from easy to research level, are included.
Author: Xiaolin Jiang
Publisher: Springer Nature
ISBN: 3031044096
Category : Computers
Languages : en
Pages : 365
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Book Description
This volume constitutes the refereed post-conference proceedings of the 6th International Conference on Machine Learning and Intelligent Communications, MLICOM 2021, held in November 2021. Due to COVID-19 pandemic the conference was held virtually. The 28 revised full papers were carefully selected from 58 submissions. The papers are organized thematically in tracks as follows: internet of vehicle communication system; applications of neural network and deep learning; intelligent massive MIMO communications; intelligent positioning and navigation systems; intelligent space and terrestrial integrated networks; machine learning algorithms and intelligent networks; image information processing.
Author: Miroslav M Novak
Publisher: World Scientific
ISBN: 9814542946
Category :
Languages : en
Pages : 322
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Book Description
Every reader will find something of interest in this book — from superdiffusion of the ocean surface to fetal heartbeats, from solar wind to the wearing-out of tools, from radioactive contamination to texture analysis, from image rendering to neural developments. The all-pervading link connecting these disparate disciplines is the realization that a linear approach to the majority of natural processes is at best only an approximation that can frequently be downright misleading. Consequently, the rise of what is broadly called the theory of complexity has gained tremendous momentum in the last decade or two. This modern approach aims at, and frequently succeeds in, correctly explaining many natural processes.The papers in this volume are based on presentations of the sixth international conference exploring the above-mentioned issues. These conferences are now regular and well established among the nonlinear series of conferences. This conference series is organized in different geographical regions, to encourage international collaboration. Among the distinguishing features of the series is its multidisciplinary nature, which has been growing steadily.
Author: Mads Nielsen
Publisher: Springer
ISBN: 3540482369
Category : Computers
Languages : en
Pages : 534
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Book Description
This volume constitutes the refereed proceedings of the Second International Conference on Scale-Space Theories in Computer Vision, Scale-Space'99, held in Corfu, Greece, in September 1999. The 36 revised full papers and the 18 revised posters presented in the book were carefully reviewed and selected from 66 high-quality submissions. The book addresses all current aspects of this young and active field, in particular geometric Image flows, nonlinear diffusion, functional minimization, linear scale-space, etc.
Author: Achintya Kumar Pramanick
Publisher: Springer
ISBN: 3642544711
Category : Science
Languages : en
Pages : 141
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Book Description
In this monograph Prof. Pramanick explicates the law of motive force, a fundamental law of nature that can be observed and appreciated as an addition to the existing laws of thermodynamics. This unmistakable and remarkable tendency of nature is equally applicable to all other branches of studies. He first conceptualized the law of motive force in 1989, when he was an undergraduate student. Here he reports various applications of the law in the area of thermodynamics, heat transfer, fluid mechanics and solid mechanics, and shows how it is possible to solve analytically century-old unsolved problems through its application. This book offers a comprehensive account of the law and its relation to other laws and principles, such as the generalized conservation principle, variational formulation, Fermat’s principle, Bejan’s constructal law, entropy generation minimization, Bejan’s method of intersecting asymptotes and equipartition principle. Furthermore, the author addresses some interrelated fundamental problems of contemporary interest, especially to thermodynamicists, by combining analytical methods, physical reasoning and the proposed law of motive force. This foundational work is a valuable reading for both students and researchers in exact as well as non-exact sciences and, at the same time, a pleasant learning experience for the novice.
Author: M. Fleischmann
Publisher: Princeton University Press
ISBN: 1400861047
Category : Mathematics
Languages : en
Pages : 207
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Book Description
In the words of B. B. Mandelbrot's contribution to this important collection of original papers, fractal geometry is a "new geometric language, which is geared towards the study of diverse aspects of diverse objects, either mathematical or natural, that are not smooth, but rough and fragmented to the same degree at all scales." This book will be of interest to all physical and biological scientists studying these phenomena. It is based on a Royal Society discussion meeting held in 1988. Originally published in 1990. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
