A Random Walk Through Fractal Dimensions
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A Random Walk Through Fractal Dimensions
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Author : Brian H. Kaye
language : en
Publisher: John Wiley & Sons
Release Date : 2008-07-11
A Random Walk Through Fractal Dimensions written by Brian H. Kaye 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 2008-07-11 with Technology & Engineering categories.
Fractal geometry is revolutionizing the descriptive mathematics of applied materials systems. Rather than presenting a mathematical treatise, Brian Kaye demonstrates the power of fractal geometry in describing materials ranging from Swiss cheese to pyrolytic graphite. Written from a practical point of view, the author assiduously avoids the use of equations while introducing the reader to numerous interesting and challenging problems in subject areas ranging from geography to fine particle science. The second edition of this successful book provides up-to-date literature coverage of the use of fractal geometry in all areas of science. From reviews of the first edition: "...no stone is left unturned in the quest for applications of fractal geometry to fine particle problems....This book should provide hours of enjoyable reading to those wishing to become acquainted with the ideas of fractal geometry as applied to practical materials problems." MRS Bulletin
A Random Walk Through Fractal Dimensions
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Author : Brian Howard Kaye
language : en
Publisher: Weinheim [Germany] : VCH Verlagsgesellschaft
Release Date : 1989
A Random Walk Through Fractal Dimensions written by Brian Howard Kaye and has been published by Weinheim [Germany] : VCH Verlagsgesellschaft this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.
The aim of this book is both to stimulate interest in fractal geometry and to be useful as a first text to those who use fractal geometry in their work. It contains many suggestions for experiments, and tends to rely on graphic examples, rather than swamping the reader with equations and symbols.
A Random Walk Through Fractal Dimensions
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Author : Brian Howard Kaye
language : en
Publisher:
Release Date : 1989
A Random Walk Through Fractal Dimensions written by Brian Howard Kaye and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.
The aim of this book is both to stimulate interest in fractal geometry and to be useful as a first text to those who use fractal geometry in their work. It contains many suggestions for experiments, and tends to rely on graphic examples, rather than swamping the reader with equations and symbols.
The Fractal Dimension Of Architecture
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Author : Michael J. Ostwald
language : en
Publisher: Birkhäuser
Release Date : 2016-09-01
The Fractal Dimension Of Architecture written by Michael J. Ostwald and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-01 with Mathematics categories.
Fractal analysis is a method for measuring, analysing and comparing the formal or geometric properties of complex objects. In this book it is used to investigate eighty-five buildings that have been designed by some of the twentieth-century’s most respected and celebrated architects. Including designs by Le Corbusier, Eileen Gray, Frank Lloyd Wright, Robert Venturi, Frank Gehry, Peter Eisenman, Richard Meier and Kazuyo Sejima amongst others, this book uses mathematics to analyse arguments and theories about some of the world’s most famous designs. Starting with 625 reconstructed architectural plans and elevations, and including more than 200 specially prepared views of famous buildings, this book presents the results of the largest mathematical study ever undertaken into architectural design and the largest single application of fractal analysis presented in any field. The data derived from this study is used to test three overarching hypotheses about social, stylistic and personal trends in design, along with five celebrated arguments about twentieth-century architecture. Through this process the book offers a unique mathematical insight into the history and theory of design.
Elementary Introduction To Spatial And Temporal Fractals
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Author : L.T. Fan
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Elementary Introduction To Spatial And Temporal Fractals written by L.T. Fan 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 Science categories.
Fractals play an important role in modeling natural phenomena and engineering processes. And fractals have a close connection to the concepts of chaotic dynamics. This monograph presents definitions, concepts, notions and methodologies of both spatial and temporal fractals. It addresses students and researchers in chemistry and in chemical engineering. The authors present the concepts and methodologies in sufficient detail for uninitiated readers. They include many simple examples and graphical illustrations. They outline some examples in more detail: Perimeter fractal dimension of char particles, surface fractal dimension of charcoal; fractal analysis of pressure fluctuation in multiphase flow systems. Readers who master the concepts in this book, can confidently apply them to their fields of interest.
Proceedings Of The 2011 International Conference On Informatics Cybernetics And Computer Engineering Icce2011 November 19 20 2011 Melbourne Australia
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Author : Liangzhong Jiang
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-11-24
Proceedings Of The 2011 International Conference On Informatics Cybernetics And Computer Engineering Icce2011 November 19 20 2011 Melbourne Australia written by Liangzhong Jiang 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 2011-11-24 with Technology & Engineering categories.
The volume includes a set of selected papers extended and revised from the International Conference on Informatics, Cybernetics, and Computer Engineering. Intelligent control is a class of control techniques, that use various AI computing approaches like neural networks, Bayesian probability, fuzzy logic, machine learning, evolutionary computation and genetic algorithms. Intelligent control can be divided into the following major sub-domains: Neural network control Bayesian control Fuzzy (logic) control Neuro-fuzzy control Expert Systems Genetic control Intelligent agents (Cognitive/Conscious control) New control techniques are created continuously as new models of intelligent behavior are created and computational methods developed to support them. Networks may be classified according to a wide variety of characteristics such as medium used to transport the data, communications protocol used, scale, topology, organizational scope, etc. ICCE 2011 Volume 1 is to provide a forum for researchers, educators, engineers, and government officials involved in the general areas of Intelligent Control and Network Communication to disseminate their latest research results and exchange views on the future research directions of these fields. 90 high-quality papers are included in the volume. Each paper has been peer-reviewed by at least 2 program committee members and selected by the volume editor Special thanks to editors, staff of association and every participants of the conference. It’s you make the conference a success. We look forward to meeting you next year.
Encounters With Chaos And Fractals
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Author : Denny Gulick
language : en
Publisher: CRC Press
Release Date : 2024-02-08
Encounters With Chaos And Fractals written by Denny Gulick and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-08 with Mathematics categories.
Encounters with Chaos and Fractals, Third Edition provides an accessible introduction to chaotic dynamics and fractal geometry. It incorporates important mathematical concepts and backs up the definitions and results with motivation, examples, and applications. The Third Edition updates this classic book for a modern audience. New applications on contemporary topics, like data science and mathematical modelling, appear throughout. Coding activities are transitioned to open-source programming languages, including Python. The text begins with examples of mathematical behavior exhibited by chaotic systems, first in one dimension and then in two and three dimensions. Focusing on fractal geometry, the authors introduce famous infinitely complicated fractals. How to obtain computer renditions of them are explained. The book concludes with Julia sets and the Mandelbrot set. The Third Edition includes: v More coding activities included in each section. The code is expanded to include pseudo-code, with specific examples in MATLAB (or it’s open-source cousin Octave) and Python. v Many more and updated exercises from previous editions. v Proof writing exercises for a more theoretical course. v Sections revised to include historical context. v Short sections added to explain applied problems developing the mathematics. This edition reveals how these ideas are continuing to be applied in the 21st century, while connecting to the long and winding history of dynamical systems. The primary focus is the beauty and diversity of these ideas. Offering more than enough material for a one-semester course, the authors show how these subjects continue to grow within mathematics and in many other disciplines.
Fractals In Rock Mechanics
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Author : Heping Xie
language : en
Publisher: CRC Press
Release Date : 2020-12-18
Fractals In Rock Mechanics written by Heping Xie and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-18 with Technology & Engineering categories.
Important developments in the progress of the theory of rock mechanics during recent years are based on fractals and damage mechanics. The concept of fractals has proved to be a useful way of describing the statistics of naturally occurring geometrics. Natural objects, from mountains and coastlines to clouds and forests, are found to have boundaries best described as fractals. Fluid flow through jointed rock masses and clusterings of earthquakes are found to follow fractal patterns in time and space. Fracturing in rocks at all scales, from the microscale (microcracks) to the continental scale (megafaults), can lead to fractal structures. The process of diagenesis and pore geometry of sedimentary rock can be quantitatively described by fractals, etc. The book is mainly concerned with these developments, as related to fractal descriptions of fragmentations, damage and fracture of rocks, rock burst, joint roughness, rock porosity and permeability, rock grain growth, rock and soil particles, shear slips, fluid flow through jointed rocks, faults, earthquake clustering, and so on. The prime concerns of the book are to give a simple account of the basic concepts, methods of fractal geometry, and their applications to rock mechanics, geology, and seismology, and also to discuss damage mechanics of rocks and its application to mining engineering. The book can be used as a textbook for graduate students, by university teachers to prepare courses and seminars, and by active scientists who want to become familiar with a fascinating new field.
Biophysical Chemistry Of Fractal Structures And Processes In Environmental Systems
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Author : Nicola Senesi
language : en
Publisher: John Wiley & Sons
Release Date : 2008-09-15
Biophysical Chemistry Of Fractal Structures And Processes In Environmental Systems written by Nicola Senesi 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 2008-09-15 with Science categories.
This book aims to provide the scientific community with a novel and valuable approach based on fractal geometry concepts on the important properties and processes of diverse environmental systems. The interpretation of complex environmental systems using modern fractal approaches is compared and contrasted with the more classical approaches. The book will provide the fundamental knowledge necessary for solving practical environmental problems. Furthermore, it examinea how the fractal approach has been applied in order to understand the structure and reactivity of natural, environmental systems including flocs, sediments, soils, microorganisms and humic substances.
Physical Properties Of Fats Oils And Emulsifiers
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Author : Neil Widlak
language : en
Publisher: The American Oil Chemists Society
Release Date : 1999
Physical Properties Of Fats Oils And Emulsifiers written by Neil Widlak and has been published by The American Oil Chemists Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Science categories.
A fundamental understanding of the physical properties of fats, oils, and emulsifiers is essential to help the food processing industry meet consumer needs for quality foods with improved nutritional properties at a minimal cost. Food scientists, product development technologists, and food processors will be interested in this overview of both the fundamentals of fat crystallization and the application of those fundamental principles of food systems. This book was developed from papers that were presented at the conference on "The Physical Properties of Fats, Oils, and Emulsifiers with Application to Foods".