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Wave Turbulence

Wave Turbulence refers to the statistical theory of weakly nonlinear dispersive waves. There is a wide and growing spectrum of physical applications, ranging from sea waves, to plasma waves, to superfluid turbulence, to nonlinear optics and Bose-Einstein condensates. Beyond the fundamentals the book thus also covers new developments such as the interaction of random waves with coherent structures (vortices, solitons, wave breaks), inverse cascades leading to condensation and the transitions between weak and strong turbulence, turbulence intermittency as well as finite system size effects, such as "frozen" turbulence, discrete wave resonances and avalanche-type energy cascades. This book is an outgrow of several lectures courses held by the author and, as a result, written and structured rather as a graduate text than a monograph, with many exercises and solutions offered along the way. The present compact description primarily addresses students and non-specialist researchers wishing to enter and work in this field.

Waveform Analysis of Sound

What is this sound? What does that sound indicate? These are two questions frequently heard in daily conversation. Sound results from the vibrations of elastic media and in daily life provides informative signals of events happening in the surrounding environment. In interpreting auditory sensations, the human ear seems particularly good at extracting the signal signatures from sound waves. Although exploring auditory processing schemes may be beyond our capabilities, source signature analysis is a very attractive area in which signal-processing schemes can be developed using mathematical expressions. This book is inspired by such processing schemes and is oriented to signature analysis of waveforms. Most of the examples in the book are taken from data of sound and vibrations; however, the methods and theories are mostly formulated using mathematical expressions rather than by acoustical interpretation. This book might therefore be attractive and informative for scientists, engineers, researchers, and graduate students who are interested in the mathematical representation of signals and the applications of Fourier analysis. The book can be described as being practically self-contained but does assume readers are familiar with introductory topics in discrete signal processing, as in the discrete Fourier transform. Hence this book might be also usable as a textbook in graduate courses in applied mathematics on topics such as complex functions. Almost all scientific phenomena are sensed as waves propagating in some space. Over the years, waveform analysis has therefore been one of the resilient academic areas of study and still is seen as fertile ground for development. In particular, waveform analysis based on the theory of linear systems would be a good example where a physical interpretation can be given to the mathematical theory of complex functions in terms of magnitude, angle, poles, and zeros of complex functions. For readers who are interested in the physical aspects of sound and vibration data or elementary formulation of wave equations and their solutions, the book Sound and Signals by M. Tohyama (Springer 2011) is recommended. It can serve as a complementary companion to this present volume or independently as a good reference.

Wavefront Shaping and Pupil Engineering (Springer Series in Optical Sciences #235)

This book presents a simple, yet comprehensive, treatment of the basic principles and applications of novel phase masks and non-uniform optical windows under the increasingly popular umbrella term “pupil engineering.” It discusses current research topics in the areas of phase-space representations for engineering imaging devices with extended depth of field, as well as sparse optical sensing and emergent phenomena such as vortices and singularities, highlighting the heuristic applications of key concepts in novel models and their graphic representations. The book is appealing to anyone interested in robotic vision and is a valuable resource for upper-level students, teachers, scientists, and engineers in the field of image science, lasers, and digital image processing.

Waveguide Propagation of Nonlinear Waves: Impact of Inhomogeneity and Accompanying Effects (Springer Series on Atomic, Optical, and Plasma Physics #109)

This book addresses the peculiarities of nonlinear wave propagation in waveguides and explains how the stratification depends on the waveguide and confinement. An example of this is an optical fibre that does not allow light to pass through a density jump. The book also discusses propagation in the nonlinear regime, which is characterized by a specific waveform and amplitude, to demonstrate so-called solitonic behaviour. In this case, a wave may be strongly localized, and propagates with a weak change in shape. In the waveguide case there are additional contributions of dispersion originating from boundary or asymptotic conditions.Offering concrete guidance on solving application problems, this essentially (more than twice) expanded second edition includes various aspects of guided propagation of nonlinear waves as well as new topics like solitonic behaviour of one-mode and multi-mode excitation and propagation and plasma waveguides, propagation peculiarities of electromagnetic waves in metamaterials, new types of dispersion, dissipation, electromagnetic waveguides, planetary waves and plasma waves interaction.The key feature of the solitonic behaviour is based on Coupled KdV and Coupled NS systems. The systems are derived in this book and solved numerically with the proof of stability and convergence. The domain wall dynamics of ferromagnetic microwaveguides and Bloch waves in nano-waveguides are also included with some problems of magnetic momentum and charge transport.

Wavelet Analysis in Civil Engineering

Wavelets as a Powerful Signal Processing ToolThe principles of wavelets can be applied to a range of problems in civil engineering structures, such as earthquake-induced vibration analysis, bridge vibrations, and damage identification. This book is particularly useful for graduate students and researchers in vibration analysis, especially those dealing with random vibrations. Wavelet Analysis in Civil Engineering explains the importance of wavelets in analyzing nonstationarities in ground motions. The example of a tank is considered to develop the problem and the model (based on linear assumptions) and several case studies are explored—fixed base, flexible base, lateral and rocking motions of foundations, with and without fluid—to explain how to account for ground motion nonstationarities. Bridge vibrations caused by vehicle passage are explored, as is structural damage identification. Wavelet analytic techniques starting from single degree of freedom systems to multiple degree of freedom systems are set out and detailed solutions of more complicated problems involving soil and fluid interactions are presented. Separate chapters have been devoted to explaining the basic principles of the wavelet-based random nonstationary vibration analysis of nonlinear systems, including probabilistic analysis. Comprised of seven chapters, this text: Introduces the concept and utility of wavelet transform Describes the discretization of ground motions using wavelet coefficients Explains how to characterize nonstationary ground motions using statistical functionals of wavelet coefficients of seismic accelerations Develops the formulation of a linear single-degree-of-freedom system Shows stepwise development of the formulation of a structure idealized as a linear multi-degree-of-freedom system in terms of wavelet coefficients Defines wavelet domain formulation of a nonlinear single-degree-of-freedom system Introduces the concept of probability in wavelet-based theoretical formulation of a nonlinear two-degree-of-freedom system Covers a variety of case studies highlighting diverse applications Wavelet Analysis in Civil Engineering explains the importance of wavelets in terms of non-stationarities of ground motions, explores the application of wavelet analytic techniques, and is an excellentresource for users addressing wavelets for the first time.

Wavelet Analysis with Applications to Image Processing

Wavelet analysis is among the newest additions to the arsenals of mathematicians, scientists, and engineers, and offers common solutions to diverse problems. However, students and professionals in some areas of engineering and science, intimidated by the mathematical background necessary to explore this subject, have been unable to use this powerful tool.The first book on the topic for readers with minimal mathematical backgrounds, Wavelet Analysis with Applications to Image Processing provides a thorough introduction to wavelets with applications in image processing. Unlike most other works on this subject, which are often collections of papers or research advances, this book offers students and researchers without an extensive math background a step-by-step introduction to the power of wavelet transforms and applications to image processing.The first four chapters introduce the basic topics of analysis that are vital to understanding the mathematics of wavelet transforms. Subsequent chapters build on the information presented earlier to cover the major themes of wavelet analysis and its applications to image processing. This is an ideal introduction to the subject for students, and a valuable reference guide for professionals working in image processing.

Wavelet-Based Vibration Control of Smart Buildings and Bridges

Earthquakes, bridge collapses, and other natural disasters have dominated news coverage in the last few years. Aging infrastructure needs to be rehabilitated and new infrastructure needs to be designed differently. Presenting a highly innovative, modern approach verging on the futuristic, Wavelet-Based Vibration Control of Smart Buildings and Bridges discusses a new generation of building and bridge structures that not only withstands [generation is singular] the destructive effects of nature but is also impact and explosion resistant. Based on the groundbreaking work of Hojit Adeli, the book introduces the new mathematical concept of wavelets into the field of structural vibration control. It presents a new control algorithm for robust control of smart civil structures subjected to destructive environmental forces, such as earthquakes and wind. It then discusses a new hybrid control system, the hybrid tuned liquid column damper (TLCD) system. The new hybrid control system, which combines passive and semi-active control systems, is intended to achieve increased reliability and maximum operability of the control system during power failure and to eliminate the need for a larger power requirement. The great majority of papers published in this area of active structural vibration control deal with small or academic problems. The models in this book have been tested and their effectiveness evaluated extensively on small problems for the sake of comparison with other methods and results reported in the literature. The authors go one step further and apply them to realistic and large building and bridge structures to demonstrate the applicability of the new smart technology to large real-world civil structures. Balancing coverage between theory and application, the book demonstrates the benefits of the new smart technology in the design of structures that are safer and more sustainable.

Wavelet Methods for Dynamical Problems: With Application to Metallic, Composite, and Nano-Composite Structures

Employs a Step-by-Step Modular Approach to Structural ModelingConsidering that wavelet transforms have also proved useful in the solution and analysis of engineering mechanics problems, up to now there has been no sufficiently comprehensive text on this use. Wavelet Methods for Dynamical Problems: With Application to Metallic, Composite and Nano-co

Wavelet Numerical Method and Its Applications in Nonlinear Problems (Engineering Applications of Computational Methods #6)

This book summarizes the basic theory of wavelets and some related algorithms in an easy-to-understand language from the perspective of an engineer rather than a mathematician. In this book, the wavelet solution schemes are systematically established and introduced for solving general linear and nonlinear initial boundary value problems in engineering, including the technique of boundary extension in approximating interval-bounded functions, the calculation method for various connection coefficients, the single-point Gaussian integration method in calculating the coefficients of wavelet expansions and unique treatments on nonlinear terms in differential equations. At the same time, this book is supplemented by a large number of numerical examples to specifically explain procedures and characteristics of the method, as well as detailed treatments for specific problems. Different from most of the current monographs focusing on the basic theory of wavelets, it focuses on the use of wavelet-based numerical methods developed by the author over the years. Even for the necessary basic theory of wavelet in engineering applications, this book is based on the author’s own understanding in plain language, instead of a relatively difficult professional mathematical description. This book is very suitable for students, researchers and technical personnel who only want to need the minimal knowledge of wavelet method to solve specific problems in engineering.

Wavelet Packets and Their Statistical Applications (Forum for Interdisciplinary Mathematics)

This book presents the basic concepts of functional analysis, wavelet analysis and thresholding. It begins with an elementary chapter on preliminaries such as basic concepts of functional analysis, a brief tour of the wavelet transform, Haar scaling functions and function space, wavelets, symlets wavelets and coiflets wavelets. In turn, Chapters 2 and 3 address the construction of wavelet packets, selected results on wavelet packets, band-limited wavelet packets, characterisations of wavelet packets, multiresolution analysis (MRA) wavelet packets, pointwise convergence, the convergence of wavelet packet series and convolution bounds. Chapter 4 discusses characterisations of function spaces like Lebesgue spaces, Hardy spaces and Sobolev spaces in terms of wavelet packets, while Chapter 5 is devoted to applications of wavelets and wavelet packets in speech denoising and biomedical signals. In closing, Chapter 6 highlights applications of wavelets and wavelet packets in image denoising.

Wavelet Radio

The first book to provide a detailed discussion of the application of wavelets in wireless communications, this is an invaluable source of information for graduate students, researchers, and telecommunications engineers, managers and strategists. It overviews applications, explains how to design new wavelets and compares wavelet technology with existing OFDM technology. • Addresses the applications and challenges of wavelet technology for a range of wireless communication domains • Aids in the understanding of Wavelet Packet Modulation and compares it with OFDM • Includes tutorials on convex optimisation, spectral factorisation and the design of wavelets • Explains design methods for new wavelet technologies for wireless communications, addressing many challenges, such as peak-to-average power ratio reduction, interference mitigation, reduction of sensitivity to time, frequency and phase offsets, and efficient usage of wireless resources • Describes the application of wavelet radio in spectrum sensing of cognitive radio systems.

Wavelet Transforms and Their Applications

This textbook is an introduction to wavelet transforms and accessible to a larger audience with diverse backgrounds and interests in mathematics, science, and engineering. Emphasis is placed on the logical development of fundamental ideas and systematic treatment of wavelet analysis and its applications to a wide variety of problems as encountered in various interdisciplinary areas. Topics and Features: * This second edition heavily reworks the chapters on Extensions of Multiresolution Analysis and Newlands's Harmonic Wavelets and introduces a new chapter containing new applications of wavelet transforms* Uses knowledge of Fourier transforms, some elementary ideas of Hilbert spaces, and orthonormal systems to develop the theory and applications of wavelet analysis * Offers detailed and clear explanations of every concept and method, accompanied by carefully selected worked examples, with special emphasis given to those topics in which students typically experience difficulty* Includes carefully chosen end-of-chapter exercises directly associated with applications or formulated in terms of the mathematical, physical, and engineering context and provides answers to selected exercises for additional help Mathematicians, physicists, computer engineers, and electrical and mechanical engineers will find Wavelet Transforms and Their Applications an exceptionally complete and accessible text and reference. It is also suitable as a self-study or reference guide for practitioners and professionals.

Wavelets

Wavelets: Theory and Applications for Manufacturing presents a systematic description of the fundamentals of wavelet transform and its applications. Given the widespread utilization of rotating machines in modern manufacturing and the increasing need for condition-based, as opposed to fix-interval, intelligent maintenance to minimize machine down time and ensure reliable production, it is of critical importance to advance the science base of signal processing in manufacturing. This volume also deals with condition monitoring and health diagnosis of rotating machine components and systems, such as bearings, spindles, and gearboxes, while also: -Providing a comprehensive survey on wavelets specifically related to problems encountered in manufacturing -Discussing the integration of wavelet transforms with other soft computing techniques such as fuzzy logic, for machine defect and severity classification -Showing how to custom design wavelets for improved performance in signal analysis Focusing on wavelet transform as a tool specifically applied and designed for applications in manufacturing, Wavelets: Theory and Applications for Manufacturing presents material appropriate for both academic researchers and practicing engineers working in the field of manufacturing.

Wavelets and their Applications (Digital Signal And Image Processing Ser.)

The last 15 years have seen an explosion of interest in wavelets with applications in fields such as image compression, turbulence, human vision, radar and earthquake prediction. Wavelets represent an area that combines signal in image processing, mathematics, physics and electrical engineering. As such, this title is intended for the wide audience that is interested in mastering the basic techniques in this subject area, such as decomposition and compression.

Wavelets and Wavelet Transform Systems and Their Applications: A Digital Signal Processing Approach

This textbook is unique because of its in-depth treatment of the applications of wavelets and wavelet transforms to many areas, across many disciplines. The book is written to serve the needs of a one or two semester course at either the undergraduate or graduate level. The author uses a very simplified, accessible approach that de-emphasizes mathematical rigor. The presentation includes many diagrams to illustrate points being discussed and uses MATLAB for all of application code. The author reinforces concepts introduced in the book with easy to grasp review questions and problems, tailored to each specific chapter for better mastery of the subject matter. This book enables students to understand the fundamental concepts of wavelets and wavelet transforms, as well as how to use them for problem solutions in digital signal and image processing, mixed-signal testing, space applications, aerospace applications, biomedical, cyber security, homeland security and many other application areas.

Wavelets in Neuroscience (Springer Series in Synergetics)

This book illustrates how modern mathematical wavelet transform techniques offer fresh insights into the complex behavior of neural systems at different levels: from the microscopic dynamics of individual cells to the macroscopic behavior of large neural networks. It also demonstrates how and where wavelet-based mathematical tools can provide an advantage over classical approaches used in neuroscience. The authors well describe single neuron and populational neural recordings.This 2nd edition discusses novel areas and significant advances resulting from experimental techniques and computational approaches developed since 2015, and includes three new topics:• Detection of fEPSPs in multielectrode LFPs recordings.• Analysis of Visual Sensory Processing in the Brain and BCI for Human Attention Control;• Analysis and Real-time Classification of Motor-related EEG Patterns;The book is a valuable resource for neurophysiologists and physicists familiar with nonlinear dynamical systems and data processing, as well as for graduate students specializing in these and related areas.

Waves in Focal Regions: Propagation, Diffraction and Focusing of Light, Sound and Water Waves

Using numerous mathematical and numerical techniques of diffraction theory, Waves in Focal Regions: Propagation, Diffraction and Focusing of Light, Sound and Water Waves provides a full and richly illustrated description of waves in focal regions. Unlike most books, the author treats electromagnetic, acoustic, and water waves in one comprehensive volume. After an introductory section, the book describes approximate diffraction theories and efficient numerical methods to study the focusing of various kinds of waves. It then covers the physical interpretation of the theories, their accuracy, and the computational savings obtained, emphasizing uniform asymptotic results that remain valid in the vicinity of shadow boundaries and caustics. The next part deals with the focusing of scalar waves, including thorough theoretical analyses and detailed contour maps of diffraction patterns in focal regions for a variety of different system parameters, such as f-number, Frensel number, aperture shape, amplitude distribution, and wavefront aberration. The author proceeds to explore the diffraction and focusing of electromagnetic waves. First solutions are derived for fields radiated by sources, reflected and refracted at plane interfaces, or diffracted by apertures in plane screens, and then these solutions are applied to study the focusing in homogeneous media and through a plane dielectric interface. In both cases, the author includes many computed results of the electromagnetic field distribution near focus. Presenting both theoretical and experimental results, the following part examines the focusing of sound and water waves by means of zone-plate lenses. The book concludes with a detailed study of the diffraction and focusing of water waves and a comparison of the results of both linear and nonlinear theories with those of experiments.

Waves, Sound, and Light

Discover the Flexibility to Teach Science Your Way!. "Glencoe Science: Waves, Sound, and Light," a module in the Glencoe Science 15 book series, provides students with accurate and comprehensive coverage of middle school National Science Education Standards. Concepts are explained in a clear, concise manner, and are integrated with a wide range of hands-on experiences, critical thinking opportunities, real-world applications, and connections to other sciences and to non-science areas of the curriculum. Co-authored by National Geographic, unparalleled graphics reinforce key concepts. A broad array of print and technology resources help differentiate and accommodate all learners. The modular approach allows you to mix and match books to meet your specific curriculum needs.

Wax Deposition: Experimental Characterizations, Theoretical Modeling, and Field Practices (Emerging Trends And Technologies In Petroleum Engineering Ser.)

Wax Deposition: Experimental Characterizations, Theoretical Modeling, and Field Practices covers the entire spectrum of knowledge on wax deposition. The book delivers a detailed description of the thermodynamic and transport theories for wax deposition modeling as well as a comprehensive review of laboratory testing for the establishment of appropr

The Way Home: Tales from a Life Without Technology

It was 11pm when I checked my email for the last time and turned off my phone for what I hoped would be forever. No running water, no car, no electricity or any of the things it powers: the internet, phone, washing machine, radio or light bulb. Just a wooden cabin, on a smallholding, by the edge of a stand of spruce. In this honest and lyrical account of a remarkable life without modern technology, Mark Boyle explores the hard won joys of building a home with his bare hands, learning to make fire, collecting water from the spring, foraging and fishing. What he finds is an elemental life, one governed by the rhythms of the sun and seasons, where life and death dance in a primal landscape of blood, wood, muck, water, and fire – much the same life we have lived for most of our time on earth. Revisiting it brings a deep insight into what it means to be human at a time when the boundaries between man and machine are blurring.

Way of the Sword

Sara Dunn is an Irish registered nurse working at a busy ICU in Portland, Oregon. When a German man is admitted to her unit after nearly dying on a transatlantic flight from Tokyo, doctors are confused and don't understand how to treat the man. Before he dies that evening, he tells Sara a sequence of numbers that mean nothing to her. Soon the FBI is questioning her about the murdered man, she's put on administrative leave, and her house is trashed. Coming to her rescue is her mysterious neighbor, Don, who says she can hide out with him at his house on the Oregon coast. She finds out Don is retired military and now makes high-priced Japanese swords. But even Don can't keep her entirely safe. Now he must travel to Japan to unravel a mystery, while he tries to stay one step ahead of the deadly Yakuza underground.

The Way Things Work

The Way Things Work Now

A New York Times Bestseller Explainer-in-Chief David Macaulay updates the worldwide bestseller The New Way Things Work to capture the latest developments in the technology that most impacts our lives. Famously packed with information on the inner workings of everything from windmills to Wi-Fi, this extraordinary and humorous book both guides readers through the fundamental principles of machines, and shows how the developments of the past are building the world of tomorrow. This sweepingly revised edition embraces all of the latest developments, from touchscreens to 3D printer. Each scientific principle is brilliantly explained--with the help of a charming, if rather slow-witted, woolly mammoth. An illustrated survey of significant inventions closes the book, along with a glossary of technical terms, and an index. What possible link could there be between zippers and plows, dentist drills and windmills? Parking meters and meat grinders, jumbo jets and jackhammers, remote control and rockets, electric guitars and egg beaters? Macaulay explains them all.

The Way Toys Work: The Science Behind the Magic 8 Ball, Etch A Sketch, Boomerang, and More

A Selection of the Scientific American Book ClubProfiling 50 of the world's most popular playthings--including their history, trivia, and the technology involved--this guide uncovers the hidden science of toys. Discover how an Etch A Sketch writes on its gray screen, why a boomerang returns after it is thrown, and how an RC car responds to a remote control device. Leaving no detail unrevealed, the guide includes original patent-application blueprints and photos of the "guts" of several devices. Inventors and museum curators also offer their observations of favorite gizmos while dispelling (or confirming) several toy legends. Complete with explanations of do-it-yourself experiments and tips on reverse engineering old toys to observe their interior mechanics, this entertaining and informative reference even provides pointers on how budding toy makers can build their own toys using only recycled materials and a little ingenuity.

The Way We Eat Now: How the Food Revolution Has Transformed Our Lives, Our Bodies, and Our World

An award-winning food writer takes us on a global tour of what the world eats--and shows us how we can change it for the betterFood is one of life's great joys. So why has eating become such a source of anxiety and confusion?Bee Wilson shows that in two generations the world has undergone a massive shift from traditional, limited diets to more globalized ways of eating, from bubble tea to quinoa, from Soylent to meal kits. Paradoxically, our diets are getting healthier and less healthy at the same time. For some, there has never been a happier food era than today: a time of unusual herbs, farmers' markets, and internet recipe swaps. Yet modern food also kills--diabetes and heart disease are on the rise everywhere on earth.This is a book about the good, the terrible, and the avocado toast. A riveting exploration of the hidden forces behind what we eat, The Way We Eat Now explains how this food revolution has transformed our bodies, our social lives, and the world we live in.