Methods of Nonlinear Analysis

This book explores and celebrates imaginative and creative approaches to youth research, showcasing a wide range of innovative methods including music elicitation, mental mapping, blog analysis and mo

Modeling, Control and Coordination of Helicopter Systems provides a comprehensive treatment of helicopter systems, ranging from related nonlinear flight dynamic modeling and stability analysis to adva

Comparing Media Systems Beyond the Western World offers a broad exploration of the conceptual foundations for comparative analysis of media and politics globally. It takes as its point of departure the widely used framework of Hallin and Mancini's Comparing Media Systems, exploring how the concepts and methods of their analysis do and do not prove useful when applied beyond the original focus of their 'most similar systems' design and the West European and North American cases it encompassed. It is intended both to use a wider range of cases to interrogate and clarify the conceptual framework of Comparing Media Systems and to propose new models, concepts and approaches that will be useful for dealing with non-Western media systems and with processes of political transition. Comparing Media Systems Beyond the Western World covers, among other cases, Brazil, China, Israel, Lebanon, Lithuania, Poland, Russia, Saudi Arabia, South Africa and Thailand.

Comparing Media Systems Beyond the Western World offers a broad exploration of the conceptual foundations for comparative analysis of media and politics globally. It takes as its point of departure the widely used framework of Hallin and Mancini's Comparing Media Systems, exploring how the concepts and methods of their analysis do and do not prove useful when applied beyond the original focus of their 'most similar systems' design and the West European and North American cases it encompassed. It is intended both to use a wider range of cases to interrogate and clarify the conceptual framework of Comparing Media Systems and to propose new models, concepts and approaches that will be useful for dealing with non-Western media systems and with processes of political transition. Comparing Media Systems Beyond the Western World covers, among other cases, Brazil, China, Israel, Lebanon, Lithuania, Poland, Russia, Saudi Arabia, South Africa and Thailand.

This book provides a comprehensive treatment of the Gross–Pitaevskii equation with a periodic potential; in particular, the localized modes supported by the periodic potential. It takes the mean-field model of the Bose–Einstein condensation as the starting point of analysis and addresses the existence and stability of localized modes. The mean-field model is simplified further to the coupled nonlinear Schrödinger equations, the nonlinear Dirac equations, and the discrete nonlinear Schrödinger equations. One of the important features of such systems is the existence of band gaps in the wave transmission spectra, which support stationary localized modes known as the gap solitons. These localized modes realise a balance between periodicity, dispersion and nonlinearity of the physical system. Written for researchers in applied mathematics, this book mainly focuses on the mathematical properties of the Gross–Pitaevskii equation. It also serves as a reference for theoretical physicists inter

This book uses evidence from theatrical hand-books, performance practice and drama training to provide a synthesis of academic and theatrical approaches to the Shakespearean text. Abigail Rokison's work combines scholarship with practical exploration in the rehearsal room. In looking at theatrical interaction with early printed and modern edited texts, Rokison investigates the potential impact of editorial principles of lineation and punctuation on theatrical delivery. The book alerts editors to ways in which actors may interpret editorial emendations, and theatre practitioners to diverse authorial, editorial and compositional methods. It contains suggestions for a 'theatrical text' which makes clear the metrical structure of a scene whilst also indicating areas of ambiguous lineation. Providing a fresh perspective on Renaissance actors' parts, the book includes detailed analysis of the structural properties of the verse, in particular short lines, shared lines, end-stopping and enjamb

This book introduces basic and advanced concepts of categorical regression with a focus on the structuring constituents of regression, including regularization techniques to structure predictors. In addition to standard methods such as the logit and probit model and extensions to multivariate settings, the author presents more recent developments in flexible and high-dimensional regression, which allow weakening of assumptions on the structuring of the predictor and yield fits that are closer to the data. A generalized linear model is used as a unifying framework whenever possible in particular parametric models that are treated within this framework. Many topics not normally included in books on categorical data analysis are treated here, such as nonparametric regression; selection of predictors by regularized estimation procedures; ternative models like the hurdle model and zero-inflated regression models for count data; and non-standard tree-based ensemble methods. The book is accom

Corpus linguistics is the study of language data on a large scale - the computer-aided analysis of very extensive collections of transcribed utterances or written texts. This textbook outlines the basic methods of corpus linguistics, explains how the discipline of corpus linguistics developed and surveys the major approaches to the use of corpus data. It uses a broad range of examples to show how corpus data has led to methodological and theoretical innovation in linguistics in general. Clear and detailed explanations lay out the key issues of method and theory in contemporary corpus linguistics. A structured and coherent narrative links the historical development of the field to current topics in 'mainstream' linguistics. Practical tasks and questions for discussion at the end of each chapter encourage students to test their understanding of what they have read and an extensive glossary provides easy access to definitions of technical terms used in the text.

Provides an analysis of the tools and methods used in sport and exercise psychology research. By examining these measurement tools, this title assists readers in determining strengths and limitations

Jean-Martin Charcot (1825–93) was a professor of anatomical pathology at the Pitié-Salpêtrière Hospital in Paris, and one of the founders of modern neurology. Numerous disorders are named after him, and he was one of the best known doctors in nineteenth-century France. He was the first to describe and name multiple sclerosis, and undertook crucial research into what became known as Parkinson's Disease. He also worked on hysteria, and was one of Freud's teachers. These two volumes of lectures on neurological illnesses, first published in Paris in 1872–3 and 1877, were based on extensive clinical studies at the Salpêtrière, and edited by Désiré Magloire Bourneville. Detailed analysis of symptoms, sometimes using photography, combined with post-mortem analyses, allowed Charcot to produce classic descriptions of different neurological disorders. Volume 2 includes methods of clinical observation, and notes on spinal compression, infantile paralysis, Ménière's Disease, and epilepsy caused by

The volume presents, for the very first time, an exhaustive collection of those modern theoretical methods specifically tailored for the analysis of Strongly Correlated Systems. Many novel materials,

Also a professional dancer and artist, Yarber is pastor for preaching and worship at Wake Forest Baptist Church. Using the methods of phenomenology, formal analysis, and Paul Knitter's constructive me

This first book on greedy approximation gives a systematic presentation of the fundamental results. It also contains an introduction to two hot topics in numerical mathematics: learning theory and compressed sensing. Nonlinear approximation is becoming increasingly important, especially since two types are frequently employed in applications: adaptive methods are used in PDE solvers, while m-term approximation is used in image/signal/data processing, as well as in the design of neural networks. The fundamental question of nonlinear approximation is how to devise good constructive methods (algorithms) and recent results have established that greedy type algorithms may be the solution. The author has drawn on his own teaching experience to write a book ideally suited to graduate courses. The reader does not require a broad background to understand the material. Important open problems are included to give students and professionals alike ideas for further research.

IAU Symposium 271 enhances our understanding of some of the important dynamical processes that are ubiquitous in many objects in the Universe, from stars like our Sun to galaxies. A wide range of temporal and spatial scales are generally present, so instabilities, highly nonlinear states and turbulence play a central role. Understanding the behaviour and evolution of such systems requires high-accuracy, multi-scale observations and thoughtful analysis of the data gathered, coupled with detailed theoretical study. High-performance numerical simulations have become an essential and revealing tool for assessing the often subtle highly nonlinear regime of such models. In IAU S271 world experts share their knowledge and perspectives on the latest advances in studying the common underlying processes from the field of nonlinear astrophysical dynamics. The symposium also celebrates the long and illustrious career of Professor Juri Toomre and his achievements in many realms of astrophysical dyn

The book provides the first systematic analysis of the question of responsibility for historical injustice since the publication of Karl Jaspers’The Question of Guilt. Using the methods of modern phil

This detailed introduction to distribution theory uses no measure theory, making it suitable for students in statistics and econometrics as well as for researchers who use statistical methods. Good backgrounds in calculus and linear algebra are important and a course in elementary mathematical analysis is useful, but not required. An appendix gives a detailed summary of the mathematical definitions and results that are used in the book. Topics covered range from the basic distribution and density functions, expectation, conditioning, characteristic functions, cumulants, convergence in distribution and the central limit theorem to more advanced concepts such as exchangeability, models with a group structure, asymptotic approximations to integrals, orthogonal polynomials and saddlepoint approximations. The emphasis is on topics useful in understanding statistical methodology; thus, parametric statistical models and the distribution theory associated with the normal distribution are cover

Part of a resurgence in the comparative study of ancient societies, this book presents a variety of methods and approaches to comparative analysis through the examination of wide-ranging case studies. Each chapter is a comparative study, and the diverse topics and regions covered in the book contribute to the growing understanding of variation and change in ancient complex societies. The authors explore themes ranging from urbanization and settlement patterns, to the political strategies of kings and chiefs, to the economic choices of individuals and households. The case studies cover an array of geographical settings, from the Andes to Southeast Asia. The authors are leading archaeologists whose research on early empires, states, and chiefdoms is at the cutting edge of scientific archaeology.

'What's going to happen next?' Time series data hold the answers, and Bayesian methods represent the cutting edge in learning what they have to say. This ambitious book is the first unified treatment of the emerging knowledge-base in Bayesian time series techniques. Exploiting the unifying framework of probabilistic graphical models, the book covers approximation schemes, both Monte Carlo and deterministic, and introduces switching, multi-object, non-parametric and agent-based models in a variety of application environments. It demonstrates that the basic framework supports the rapid creation of models tailored to specific applications and gives insight into the computational complexity of their implementation. The authors span traditional disciplines such as statistics and engineering and the more recently established areas of machine learning and pattern recognition. Readers with a basic understanding of applied probability, but no experience with time series analysis, are guided fro

The success of the Apgar score demonstrates the astounding power of an appropriate clinical instrument. This down-to-earth book provides practical advice, underpinned by theoretical principles, on developing and evaluating measurement instruments in all fields of medicine. It equips you to choose the most appropriate instrument for specific purposes. The book covers measurement theories, methods and criteria for evaluating and selecting instruments. It provides methods to assess measurement properties, such as reliability, validity and responsiveness, and interpret the results. Worked examples and end-of-chapter assignments use real data and well-known instruments to build your skills at implementation and interpretation through hands-on analysis of real-life cases. All data and solutions are available online. This is a perfect course book for students and a perfect companion for professionals/researchers in the medical and health sciences who care about the quality and meaning of the

The success of the Apgar score demonstrates the astounding power of an appropriate clinical instrument. This down-to-earth book provides practical advice, underpinned by theoretical principles, on developing and evaluating measurement instruments in all fields of medicine. It equips you to choose the most appropriate instrument for specific purposes. The book covers measurement theories, methods and criteria for evaluating and selecting instruments. It provides methods to assess measurement properties, such as reliability, validity and responsiveness, and interpret the results. Worked examples and end-of-chapter assignments use real data and well-known instruments to build your skills at implementation and interpretation through hands-on analysis of real-life cases. All data and solutions are available online. This is a perfect course book for students and a perfect companion for professionals/researchers in the medical and health sciences who care about the quality and meaning of the

Part of a resurgence in the comparative study of ancient societies, this book presents a variety of methods and approaches to comparative analysis through the examination of wide-ranging case studies. Each chapter is a comparative study, and the diverse topics and regions covered in the book contribute to the growing understanding of variation and change in ancient complex societies. The authors explore themes ranging from urbanization and settlement patterns, to the political strategies of kings and chiefs, to the economic choices of individuals and households. The case studies cover an array of geographical settings, from the Andes to Southeast Asia. The authors are leading archaeologists whose research on early empires, states, and chiefdoms is at the cutting edge of scientific archaeology.

The thesis is an original and novel contribution to land use/land cover change analysis using methods of geosimulation and agent-based modeling. The author implements several traditional methodologies

Applied statistics is more than data analysis, but it is easy to lose sight of the big picture. David Cox and Christl Donnelly distil decades of scientific experience into usable principles for the successful application of statistics, showing how good statistical strategy shapes every stage of an investigation. As you advance from research or policy question, to study design, through modelling and interpretation, and finally to meaningful conclusions, this book will be a valuable guide. Over a hundred illustrations from a wide variety of real applications make the conceptual points concrete, illuminating your path and deepening your understanding. This book is essential reading for anyone who makes extensive use of statistical methods in their work.

Economic Forecasting provides a comprehensive overview of macroeconomic forecasting. The focus is first on a wide range of theories as well as empirical methods: business cycle analysis, time series m

Economic Forecasting provides a comprehensive overview of macroeconomic forecasting. The focus is first on a wide range of theories as well as empirical methods: business cycle analysis, time series m

Polyhedral functions provide a model for an important class of problems that includes both linear programming and applications in data analysis. General methods for minimizing such functions using the polyhedral geometry explicitly are developed. Such methods approach a minimum by moving from extreme point to extreme point along descending edges and are described generically as simplicial. The best-known member of this class is the simplex method of linear programming, but simplicial methods have found important applications in discrete approximation and statistics. The general approach considered in this text, first published in 2001, has permitted the development of finite algorithms for the rank regression problem. The key ideas are those of developing a general format for specifying the polyhedral function and the application of this to derive multiplier conditions to characterize optimality. Also considered is the application of the general approach to the development of active se

ASCE 7 is the US standard for identifying minimum design loads for buildings and other structures. ASCE 7 covers many load types, of which wind is one. The purpose of this book is to provide structural and architectural engineers with the practical state-of-the-art knowledge and tools needed for designing and retrofitting buildings for wind loads. The book will also cover wind-induced loss estimation. This new edition include a guide to the thoroughly revised, 2010 version of the ASCE 7 Standard provisions for wind loads; incorporate major advances achieved in recent years in the design of tall buildings for wind; present material on retrofitting and loss estimation; and improve the presentation of the material to increase its usefulness to structural engineers.Key features:New focus on tall buildings helps make the analysis and design guidance easier and less complex.Covers the new simplified design methods of ASCE 7-10, guiding designers to clearly und

Applied statistics is more than data analysis, but it is easy to lose sight of the big picture. David Cox and Christl Donnelly distil decades of scientific experience into usable principles for the successful application of statistics, showing how good statistical strategy shapes every stage of an investigation. As you advance from research or policy question, to study design, through modelling and interpretation, and finally to meaningful conclusions, this book will be a valuable guide. Over a hundred illustrations from a wide variety of real applications make the conceptual points concrete, illuminating your path and deepening your understanding. This book is essential reading for anyone who makes extensive use of statistical methods in their work.

This textbook teaches students the principles, materials and applications they need to understand and analyze heat transfer problems they will encounter in practice. The emphasis on modern practical problems (including thermoelectric cooling) in numerous examples, sets this apart from other titles. This book discusses heat transfer problems (in search of innovative and optimal solutions) and the engineering analysis, to motivate fundamental principles and analytical problem solving methods. By introducing heat flux tracking, students develop intuition about the central role of heat transfer in engineered systems. The energy conversion mechanisms (to and from thermal energy) are integrated into the treatment, thus allowing for realistic design of thermal systems. Microscale heat carriers are also covered. MATLAB® software is included, along with other rich materials available on the website, www.cambridge.org/kaviany. A complete solutions manual for the numerous exercises is available t

While many books have discussed methodological advances in nonlinear dynamical systems theory (NDS), this volume is unique in its focus on NDS's role in the development of psychological theory. After an introductory chapter covering the fundamentals of chaos, complexity and other nonlinear dynamics, subsequent chapters provide in-depth coverage of each of the specific topic areas in psychology. A concluding chapter takes stock of the field as a whole, evaluating important challenges for the immediate future. The chapters are written by experts in the use of NDS in each of their respective areas, including biological, cognitive, developmental, social, organizational and clinical psychology. Each chapter provides an in-depth examination of theoretical foundations and specific applications and a review of relevant methods. This edited collection represents the state of the art in NDS science across the disciplines of psychology.

"Sequence alignment represents the final frontier in the development of repeatable, comprehensive methods for phylogenetic analysis. This book will inform readers about the current status of alignment

Much of ancient history can only be written thanks to evidence supplied by Plutarch. His historical methods and qualities were for long subjected to little systematic analysis. However, in recent deca

The instability of fluid flows is a key topic in classical fluid mechanics because it has huge repercussions for applied disciplines such as chemical engineering, hydraulics, aeronautics, and geophysics. This modern introduction is written for any student, researcher, or practitioner working in the area, for whom an understanding of hydrodynamic instabilities is essential. Based on a decade's experience of teaching postgraduate students in fluid dynamics, this book brings the subject to life by emphasizing the physical mechanisms involved. The theory of dynamical systems provides the basic structure of the exposition, together with asymptotic methods. Wherever possible, Charru discusses the phenomena in terms of characteristic scales and dimensional analysis. The book includes numerous experimental studies, with references to videos and multimedia material, as well as over 150 exercises which introduce the reader to new problems.

This book is devoted to some mathematical methods that arise in two domains of artificial intelligence: neural networks and qualitative physics. Professor Aubin makes use of control and viability theory in neural networks and cognitive systems, regarded as dynamical systems controlled by synaptic matrices, and set-valued analysis that plays a natural and crucial role in qualitative analysis and simulation. This allows many examples of neural networks to be presented in a unified way. In addition, several results on the control of linear and nonlinear systems are used to obtain a 'learning algorithm' of pattern classification problems, such as the back-propagation formula, as well as learning algorithms of feedback regulation laws of solutions to control systems subject to state constraints. This book will be of value to anyone with an interest in neural networks and cognitive systems.

The instability of fluid flows is a key topic in classical fluid mechanics because it has huge repercussions for applied disciplines such as chemical engineering, hydraulics, aeronautics, and geophysics. This modern introduction is written for any student, researcher, or practitioner working in the area, for whom an understanding of hydrodynamic instabilities is essential. Based on a decade's experience of teaching postgraduate students in fluid dynamics, this book brings the subject to life by emphasizing the physical mechanisms involved. The theory of dynamical systems provides the basic structure of the exposition, together with asymptotic methods. Wherever possible, Charru discusses the phenomena in terms of characteristic scales and dimensional analysis. The book includes numerous experimental studies, with references to videos and multimedia material, as well as over 150 exercises which introduce the reader to new problems.

This ideal review for your electrical engineering course, with coverage of circuit laws, analysis methods, circuit concepts, and moreMore than 40 million students have trusted Schaum's Outlines for th

Nonlinear stress analysis (a branch of solid mechanics) is an essential feature in the design of such diverse structures as aircraft, bridges, machines, and dams. Computational techniques have become vital tools in dealing with the complex, time-consuming problems associated with nonlinear stress analysis. Although finite element techniques are widely used, boundary element methods (BEM) offer a powerful alternative, especially in tackling problems of three-dimensional plasticity. This 2002 book describes the application of BEM in solid mechanics, beginning with basic theory and then explaining the numerical implementation of BEM in nonlinear stress analysis. The authors have also developed a BEM source code for use by the reader, which is available on the book's companion website. This book will be especially useful to stress analysts in industry, research workers in the field of computational plasticity, and postgraduate students taking courses in engineering mechanics.

This book is a comprehensive exposition of FET modeling, and is a must-have resource for seasoned professionals and new graduates in the RF and microwave power amplifier design and modeling community. In it, you will find descriptions of characterization and measurement techniques, analysis methods, and the simulator implementation, model verification and validation procedures that are needed to produce a transistor model that can be used with confidence by the circuit designer. Written by semiconductor industry professionals with many years' device modeling experience in LDMOS and III-V technologies, this was the first book to address the modeling requirements specific to high-power RF transistors. A technology-independent approach is described, addressing thermal effects, scaling issues, nonlinear modeling, and in-package matching networks. These are illustrated using the current market-leading high-power RF technology, LDMOS, as well as with III-V power devices.

In this landmark contribution to the study of the formation of the modern school, Daniel Tr?hler applies one of the most recognized methods of historical research to an analysis of the "language" of t

This collection presents a broad selection of recent research on analytical chemistry, including methods of determination and analysis as applied to plants, pharmaceuticals, foods, proteins, and more.