Download or read book Applied Combinatorics on Words written by M. Lothaire and published by Cambridge University Press. This book was released on 2005-07-11 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description

Download or read book Fractals written by Dinesh Kumar and published by CRC Press. This book was released on 2017-02-03 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides an insight into the advantages and limitations of the use of fractals in biomedical data. It begins with a brief introduction to the concept of fractals and other associated measures and describes applications for biomedical signals and images. Properties of biological data in relations to fractals and entropy, and the association with health and ageing are also covered. The book provides a detailed description of new techniques on physiological signals and images based on the fractal and chaos theory. The aim of this book is to serve as a comprehensive guide for researchers and readers interested in biomedical signal and image processing and feature extraction for disease risk analyses and rehabilitation applications. While it provides the mathematical rigor for those readers interested in such details, it also describes the topic intuitively such that it is suitable for audience who are interested in applying the methods to healthcare and clinical applications. The book is the outcome of years of research by the authors and is comprehensive and includes other reported outcomes.

Download or read book Beyond Measure written by Jay Kappraff and published by World Scientific. This book was released on 2002 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of essays that stand on their own but are also loosely connected. Part I documents how numbers and geometry arise in several cultural contexts and in nature: scale, proportion in architecture, ancient geometry, megalithic stone circles, the hidden pavements of the Laurentian library, the shapes of the Hebrew letters, and the shapes of biological forms. Part II shows how many of the same numbers and number sequences are related to the modern mathematical study of numbers, dynamical systems, chaos, and fractals.

Download or read book Fractal Analysis of the Binding and Dissociation Kinetics for Different Analytes on Biosensor Surfaces written by Ajit Sadana and published by Elsevier. This book was released on 2007-12-20 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biosensors are finding increasing applications in different areas. Over the last few years the areas where biosensors may be used effectively has increased dramatically. This book like the previous four books on analyte-receptor binding and dissociation kinetics by this author addresses the often neglected area. The kinetics of binding and dissociation in solution to appropriate receptors immobilized on biosensor surfaces occurs under diffusional limitations on structured surfaces. The receptors immobilized on the biosensor surface contribute to the degree of heterogeneity on the sensor chip surface.The fractal analysis examples presented throughout the book provide a convenient means to make quantitative the degree of heterogeneity present on the sensor surface, and relates it to the binding and dissociation rate coefficients. The fractal dimension is a quantitative measure of the degree of heterogeneity present on the biosensor surface. The book emphasizes medially-oriented examples. The detection of disease-related analytes is also emphasized. The intent being that if intractable and insidious diseases are detected earlier, they will be controlled better, eventually leading to a better prognosis. Chapter 3 is a new chapter that emphasizes enhancing the relevant biosensor performance parameters such as sensitivity, stability, selectivity, response time, etc.As usual, as done in previous books by this author, the last chapter provides an update of the economics involved in biosensors, and the difficulties encounters in starting-up a biosensor company. - Modelling of binding and dissociation kinetics of analyte-receptor reactions on biosensor surfaces: provides physical insights into these reactions occurring on biosensor surfaces. Very few researchers even attempt to analyze the kinetics of these types of reactions.- Fractal analysis used to model the binding and dissociation kinetics: original and unique approach.- Economic analysis provided in the last chapter: helps balance the book; besides providing much-needed information not available in the open literature.- Emphasis on improving biosensor performance parameters: helps make biosensors better.- Empahsis on medically-related analytes: helps in prognosis of diseases.

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 360 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.

Download or read book An Introduction to Beam Physics written by Martin Berz and published by CRC Press. This book was released on 2014-12-03 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of beam physics touches many areas of physics, engineering, and the sciences. In general terms, beams describe ensembles of particles with initial conditions similar enough to be treated together as a group so that the motion is a weakly nonlinear perturbation of a chosen reference particle. Particle beams are used in a variety of areas, ranging from electron microscopes, particle spectrometers, medical radiation facilities, powerful light sources, and astrophysics to large synchrotrons and storage rings such as the LHC at CERN. An Introduction to Beam Physics is based on lectures given at Michigan State University’s Department of Physics and Astronomy, the online VUBeam program, the U.S. Particle Accelerator School, the CERN Academic Training Programme, and various other venues. It is accessible to beginning graduate and upper-division undergraduate students in physics, mathematics, and engineering. The book begins with a historical overview of methods for generating and accelerating beams, highlighting important advances through the eyes of their developers using their original drawings. The book then presents concepts of linear beam optics, transfer matrices, the general equations of motion, and the main techniques used for single- and multi-pass systems. Some advanced nonlinear topics, including the computation of aberrations and a study of resonances, round out the presentation.

Download or read book Mind Tools written by Rudy Rucker and published by Courier Corporation. This book was released on 2013-11-12 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: From mathematics and computers to insights into the workings of the human mind, this popular mathematics book reflects the intelligence gathered from the frontiers of mathematical thought. Illuminated by more than 100 drawings. 1987 edition.

Download or read book Fractals Diffusion and Relaxation in Disordered Complex Systems Volume 133 Part B written by Yuri P. Kalmykov and published by John Wiley & Sons. This book was released on 2006-06-30 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractals, Diffusion and Relaxation in Disordered Complex Systems is a special guest-edited, two-part volume of Advances in Chemical Physics that continues to report recent advances with significant, up-to-date chapters by internationally recognized researchers.

Download or read book Fractals Diffusion and Relaxation in Disordered Complex Systems written by Yuri P. Kalmykov and published by John Wiley & Sons. This book was released on 2006-07-18 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractals, Diffusion, and Relaxation in Disordered Complex Systems is a special guest-edited, two-part volume of Advances in Chemical Physics that continues to report recent advances with significant, up-to-date chapters by internationally recognized researchers.

Download or read book The Fractal Physics of Polymer Synthesis written by G. V. Kozlov and published by CRC Press. This book was released on 2013-12-12 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using fractal analysis, irreversible aggregation models, synergetics, and percolation theory, this book describes the main reactions of high-molecular substances. It is the first to give the structural and physical grounds of polymers synthesis and curing based on fractal analysis. It provides a single equation for describing the relationship between the reaction rate constants and the equilibrium constants with the nature of the medium.

Download or read book Fractal Antenna Design using Bio inspired Computing Algorithms written by Balwinder S. Dhaliwal and published by Bentham Science Publishers. This book was released on 2023-06-20 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents research focused on the design of fractal antennas using bio-inspired computing techniques. The authors present designs for fractal antennas having desirable features like size reduction characteristics, enhanced gain, and improved bandwidths. The research is summarized in six chapters which highlight the important issues related to fractal antenna design and the mentioned computing techniques. Chapters demonstrate several applied concepts and techniques used in the process such as Artificial Neural Networks (ANNs), Genetic Algorithms (GAs), Particle Swarm Optimization (PSO) and Bacterial Foraging Optimization (BFO). The work aims to provide cost-effective and efficient solutions to the demand for compact antennas due to the increasing demand for reduced sizes of components in modern wireless communication devices. A key feature of the book includes an extensive literature survey to understand the concept of fractal antennas, their features, and design approaches. Another key feature is the systematic approach to antenna design. The book explains how the IE3D software is used to simulate various fractal antennas, and how the results can be used to select a design. This is followed by ANN model development and testing for optimization, and an exploration of ANN ensemble models for the design of fractal antennas. The bio-inspired computing techniques based on GA, PSO, and BFO are developed to find the optimal design of the proposed fractal antennas for the desired applications. The performance comparison of the given computing techniques is also explained to demonstrate how to select the best algorithm for a given bio-inspired design. Finally, the book explains how to evaluate antenna designs. This book is a valuable resource for students (from UG to PG levels) and research scholars undertaking learning modules or projects on microstrip and patch antenna design in communications or electronics engineering courses.

Download or read book Fractals in the Earth Sciences written by C.C. Barton and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractals have changed the way we understand and study nature. This change has been brought about mainly by the work of B. B. Mandelbrot and his book The Fractal Geometry of Nature. Now here is a book that collects articles treating fractals in the earth sciences. The themes chosen span, as is appropriate for a discourse on fractals, many orders of magnitude; including earthquakes, ocean floor topography, fractures, faults, mineral crystallinity, gold and silver deposition. There are also chapters on dynamical processes that are fractal, such as rivers, earthquakes, and a paper on self-organized criticality. Many of the chapters discuss how to estimate fractal dimensions, Hurst exponents, and other scaling exponents. This book, in a way, represents a snapshot of a field in which fractals has brought inspiration and a fresh look at familiar subjects. New ideas and attempts to quantify the world we see around us are found throughout. Many of these ideas will grow and inspire further work, others will be superseded by new observations and insights, most probably with future contributions by the authors of these chapters.

Download or read book Binding and Dissociation Kinetics for Different Biosensor Applications Using Fractals written by Ajit Sadana and published by Elsevier. This book was released on 2006-08-08 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: The application of biosensors is expanding in different areas. These are portable and convenient devices that permit the rapid, accurate, and reliable detection of analytes of interest present either in the atmosphere or in aqueous or in liquid phases. The detection of glucose levels in blood for the effective management of diabetes is one. Though different biosensors have been designed for an increasing number of applications, the kinetics of binding (and dissociation) of analytes by the receptors on the biosensor surfaces has not been given enough attention in the open literature. This is a very important area of investigation since it significantly impacts biosensor performance parameters such as stability, sensitivity, selectivity, response time, regenerability, etc. Binding and Dissociation Kinetics for Different Biosensor Applications Using Fractals addresses this critical need besides helping to correct or demonstrate the need to modify the present software available with commercial biosensors that determines the kinetics of analyte-receptor reactions on biosensor surfaces. * first book to provide detailed kinetic analysis of the binding and dissociation reactions that are occuring on the biosensor surface * addresses the area of analyte-receptor binding and dissociation kinetics occurring on biosensor surfaces * provides physical insights into reactions occuring on biosensor surfaces

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 Fractals Everywhere written by Michael F. Barnsley and published by Academic Press. This book was released on 2014-05-10 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractals Everywhere, Second Edition covers the fundamental approach to fractal geometry through iterated function systems. This 10-chapter text is based on a course called "Fractal Geometry", which has been taught in the School of Mathematics at the Georgia Institute of Technology. After a brief introduction to the subject, this book goes on dealing with the concepts and principles of spaces, contraction mappings, fractal construction, and the chaotic dynamics on fractals. Other chapters discuss fractal dimension and interpolation, the Julia sets, parameter spaces, and the Mandelbrot sets. The remaining chapters examine the measures on fractals and the practical application of recurrent iterated function systems. This book will prove useful to both undergraduate and graduate students from many disciplines, including mathematics, biology, chemistry, physics, psychology, mechanical, electrical, and aerospace engineering, computer science, and geophysical science.

Download or read book Fractals in Biology and Medicine written by Gabriele A. Losa and published by Birkhäuser. This book was released on 2012-12-06 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: In March 2000 leading scientists gathered at the Centro Seminariale Monte Verità, Ascona, Switzerland, for the Third International Symposium on "Fractals 2000 in Biology and Medicine". This interdisciplinary conference provided stimulating contributions from the very topical field Fractals in Biology and Medicine. This volume highlights the growing power and efficacy of the fractal geometry in understanding how to analyze living phenomena and complex shapes.

Download or read book Fractals Scaling and Growth Far from Equilibrium written by Paul Meakin and published by Cambridge University Press. This book was released on 1998 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive, 1998 account of the practical aspects and pitfalls of the applications of fractal modelling in the physical sciences.