Download or read book Elementary Introduction to Spatial and Temporal Fractals written by L.T. Fan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Elementary Introduction to Spatial and Temporal Fractals written by Liang-tseng Fan and published by Springer Verlag. This book was released on 1991 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Fractals and Chaos written by Paul S. Addison and published by CRC Press. This book was released on 1997-01-01 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractals and Chaos: An Illustrated Course provides you with a practical, elementary introduction to fractal geometry and chaotic dynamics-subjects that have attracted immense interest throughout the scientific and engineering disciplines. The book may be used in part or as a whole to form an introductory course in either or both subject areas. A prominent feature of the book is the use of many illustrations to convey the concepts required for comprehension of the subject. In addition, plenty of problems are provided to test understanding. Advanced mathematics is avoided in order to provide a concise treatment and speed the reader through the subject areas. The book can be used as a text for undergraduate courses or for self-study.

Download or read book Fractal Frontiers Fractals In The Natural And Applied Sciences written by Miroslav M Novak and published by World Scientific. This book was released on 1997-03-29 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Historically, science has developed by reducing complex situations to simple ones, analyzing the components and synthesizing the original situation. While this 'reductionist' approach has been extremely successful, there are phenomena of such complexity that one cannot simplify them without eliminating the problem itself. Recently, attention has turned to such problems in a wide variety of fields. This is in part due to the development of fractal geometry. Fractal geometry provides the mathematical tools for handling complexity. The present volume is a collection of papers that deal with the application of fractals in both traditional scientific disciplines and in applied fields. This volume shows the advance of our understanding of complex phenomena across a spectrum of disciplines. While these diverse fields work on very different problems, fractals provide a unifying formalism for approaching these problems.

Download or read book Physiological Signal Processing Modelling and System Implementation in Cardiography Speech and Hearing written by R. H. Mitchell and published by CRC Press. This book was released on 1994 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Poromechanics written by J.F. Thimus and published by CRC Press. This book was released on 2020-12-18 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text features 105 papers dealing with the fundamentals and the applications of poromechanics from the Biot conference of 1998, held in Louvain-la-Neuve. Topics include: wave propogation; numerical modelling; identification of poromechanical parameters; and constitutive modelling.

Download or read book Chaos and Fractals written by David P. Feldman and published by Oxford University Press, USA. This book was released on 2012-08-09 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: For students with a background in elementary algebra, this book provides a vivid introduction to the key phenomena and ideas of chaos and fractals, including the butterfly effect, strange attractors, fractal dimensions, Julia Sets and the Mandelbrot Set, power laws, and cellular automata. The book includes over 200 end-of-chapter exercises.

Download or read book Light Metals Processing and Applications written by Christian Bickert and published by Metallurgical Society of the Canadian Institute of Mining, Metallurgy and Petroleum = La Société de la métallurgie de l'institut canadien des mines, de la métallurgie et du pétrole. This book was released on 1993 with total page 1026 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Simulation Modelling in Bioengineering written by M. Cerrolaza and published by Computational Mechanics. This book was released on 1996 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bioengineering applies engineering methods, applied mathematics and physics to the study of biological problems, leading to a better understanding of systems such as the mechanics of physiological processes. Numerical analysis techniques are used to understand these processes by way of simulation. Both computational facilities and numerical techniques have given the medical community the ability to analyze, manage and visualize biomedical data. This volume contains the proceedings of the First International Conference on Simulation Modelling in Bioengineering, held in Merida, Venezuela in October 1996."

Download or read book The Analysis of Aggregate Shape by Means of Video Imaging Technology and Fractal Analysis written by Liang-tseng Fan and published by . This book was released on 1993 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: The quality of concrete depends on numerous factors. One important factor is the physical property of mineral aggregates contained in the mix. Such mineral aggregates can be characterized by shape, roughness, and size of component particles. A limited number of methods are available to quantify mathematically or statistically the geometrical attributes of these usually irregular particles. One of these methods is derived from fractal geometry. The fractal dimension is not an integer like the topological or Euclidean dimension. The fractal dimension is capable of quantifying the geometrical irregularity of a solid object from a statistical point of view. The fractal analysis system for an aggregate shape has been successfully developed by integrating an image acquisition system with the three computer programs written specifically for this system. The results using the profile data with the known boundary fractal dimension demonstrated that the system developed in this study can be reliable for analysis of boundary fractal dimension thereby quantifying the irregularity of an object.

Download or read book Fractal Physiology written by James B. Bassingthwaighte and published by Oxford University Press, USA. This book was released on 1994 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal Physiology shows how measures of the fractal properties and chaotic dynamics of cells, tissues, organs and organisms can be applied in a practical, quantitative way to studies of human physiology. The book describes in detail how to measure self-similar phenomena in order to characterize physiological phenomena such as regional blood flow variations irregularity in durations of ion channel openings and closings, and irregularities in other bioelectric signals, and how to distinguish a random signal from due to a low-order deterministic system.

Download or read book Elegant Fractals Automated Generation Of Computer Art written by Julien Clinton Sprott and published by World Scientific Publishing. This book was released on 2018-10-04 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractals are intricate geometrical forms that contain miniature copies of themselves on ever smaller scales. This colorful book describes methods for producing an endless variety of fractal art using a computer program that searches through millions of equations looking for those few that can produce images having aesthetic appeal. Over a hundred examples of such images are included with a link to the software that produced these images, and can also produce many more similar fractals. The underlying mathematics of the process is also explained in detail.Other books by the author that could be of interest to the reader are Elegant Chaos: Algebraically Simple Chaotic Flows (J C Sprott, 2010) and Elegant Circuits: Simple Chaotic Oscillators (J C Sprott and W J Thio, 2020).

Download or read book Electrochemical Noise Measurement for Corrosion Applications written by Jeffery R. Kearns and published by ASTM International. This book was released on 1996 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Thermal Spray Coatings written by Christopher C. Berndt and published by ASM International(OH). This book was released on 1993 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Fractals A Very Short Introduction written by Kenneth Falconer and published by OUP Oxford. This book was released on 2013-09-26 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many are familiar with the beauty and ubiquity of fractal forms within nature. Unlike the study of smooth forms such as spheres, fractal geometry describes more familiar shapes and patterns, such as the complex contours of coastlines, the outlines of clouds, and the branching of trees. In this Very Short Introduction, Kenneth Falconer looks at the roots of the 'fractal revolution' that occurred in mathematics in the 20th century, presents the 'new geometry' of fractals, explains the basic concepts, and explores the wide range of applications in science, and in aspects of economics. This is essential introductory reading for students of mathematics and science, and those interested in popular science and mathematics. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.

Download or read book Handbook of Corrosion Engineering written by Pierre Roberge and published by McGraw Hill Professional. This book was released on 1999-10-21 with total page 1153 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reduce the enormous economic and environmental impact of corrosion Emphasizing quantitative techniques, this guide provides you with: *Theory essential for understanding aqueous, atmospheric, and high temperature corrosion processes Corrosion resistance data for various materials Management techniques for dealing with corrosion control, including life prediction and cost analysis, information systems, and knowledge re-use Techniques for the detection, analysis, and prevention of corrosion damage, including protective coatings and cathodic protection More

Download or read book Fractals written by Behzad Ghanbarian and published by CRC Press. This book was released on 2017-11-23 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides theoretical concepts and applications of fractals and multifractals to a broad range of audiences from various scientific communities, such as petroleum, chemical, civil and environmental engineering, atmospheric research, and hydrology. In the first chapter, we introduce fractals and multifractals from physics and math viewpoints. We then discuss theory and practical applications in detail. In what follows, in chapter 2, fragmentation process is modeled using fractals. Fragmentation is the breaking of aggregates into smaller pieces or fragments, a typical phenomenon in nature. In chapter 3, the advantages and disadvantages of two- and three-phase fractal models are discussed in detail. These two kinds of approach have been widely applied in the literature to model different characteristics of natural phenomena. In chapter 4, two- and three-phase fractal techniques are used to develop capillary pressure curve models, which characterize pore-size distribution of porous media. Percolation theory provides a theoretical framework to model flow and transport in disordered networks and systems. Therefore, following chapter 4, in chapter 5 the fractal basis of percolation theory and its applications in surface and subsurface hydrology are discussed. In chapter 6, fracture networks are shown to be modeled using fractal approaches. Chapter 7 provides different applications of fractals and multifractals to petrophysics and relevant area in petroleum engineering. In chapter 8, we introduce the practical advantages of fractals and multifractals in geostatistics at large scales, which have broad applications in stochastic hydrology and hydrogeology. Multifractals have been also widely applied to model atmospheric characteristics, such as precipitation, temperature, and cloud shape. In chapter 9, these kinds of properties are addressed using multifractals. At watershed scales, river networks have been shown to follow fractal behavior. Therefore, the applications of fractals are addressed in chapter 10. Time series analysis has been under investigations for several decades in physics, hydrology, atmospheric research, civil engineering, and water resources. In chapter 11, we therefore, provide fractal, multifractal, multifractal detrended fluctuation analyses, which can be used to study temporal characterization of a phenomenon, such as flow discharge at a specific location of a river. Chapter 12 addresses signals and again time series using a novel fractal Fourier analysis. In chapter 13, we discuss constructal theory, which has a perspective opposite to fractal theories, and is based on optimizationof diffusive exchange. In the case of river drainages, for example, the constructal approach begins at the divide and generates headwater streams first, rather than starting from the fundamental drainage pattern.