Basic Methods of Linear Functional Analysis

In contrast to classical image analysis methods that employ "crisp" mathematics, fuzzy set techniques provide an elegant foundation and a set of rich methodologies for diverse image-processing tasks.

This book is entirely devoted to the study of children's skeletons from archaeological and forensic contexts. It provides an extensive review of the osteological methods and theoretical concepts of their analysis. Non-adult skeletons provide a wealth of information on the physical and social life of the child from their growth, diet and age at death, to factors that expose them to trauma and disease at different stages of their lives. This book covers the factors that affect non-adult skeletal preservation; the assessment of their age, sex and ancestry; growth and development; infant and child mortality including infanticide; weaning ages and disease of dietary deficiency; skeletal pathology; personal identification and exposure to trauma from birth injuries, accidents and child abuse; providing insights for graduates and postgraduates in osteology, palaeopathology and forensic anthropology.

General topology offers a valuable tool to students of mathematics, particularly in such courses as complex, real, and functional analysis. This introductory treatment is essentially self-contained an

Focuses on the different methods that economic science has employed in order to detect and measure barriers to entry. This book presents a chronological analysis of competing Harvard and Chicago Schoo

This pioneering book is based upon very extensive analysis of the famous 1851 Census of Religious Worship and earlier sources such as the 1676 Compton Census. The authors stress contextual and regional understanding of religion. Among the subjects covered for all of England and Wales are the geography of the Church of England, Roman Catholicism, the old and new dissenting denominations, the spatial complementarity of denominations, and their importance for political history. A range of further questions are then analysed, such as regional continuities in religion, the growth of religious pluralism, Sunday schools and child labour during industrialisation, free and appropriated church sittings, landownership and religion, and urbanisation and regional 'secularisation'. This book's advanced methods and findings will have far-reaching influence within the disciplines of history, historical and cultural geography, religious sociology and in the social science community general.

This second edition presents the advances made in finance market analysis since 2005. The book provides a careful introduction to stochastic methods along with approximate ensembles for a single, historic time series. The new edition explains the history leading up to the biggest economic disaster of the 21st century. Empirical evidence for finance market instability under deregulation is given, together with a history of the explosion of the US Dollar worldwide. A model shows how bounds set by a central bank stabilized FX in the gold standard era, illustrating the effect of regulations. The book presents economic and finance theory thoroughly and critically, including rational expectations, cointegration and arch/garch methods, and replaces several of those misconceptions by empirically based ideas. This book will be of interest to finance theorists, traders, economists, physicists and engineers, and leads the reader to the frontier of research in time series analysis.

Ocean Engineering Mechanics provides an introduction to water waves and wave-structure interactions for fixed and floating bodies. Linear and nonlinear regular waves are thoroughly discussed, and the methods of determining the averaged properties of random waves are presented. With this foundation in wave mechanics, applications to engineering situations in the coastal zone are then presented. This introduction to the coastal engineering aspects of wave mechanics includes an introduction to shore protection. Covered within are also the basics of wave-structure interactions for situations involving ridged structures, compliant structures, and floating bodies in regular and random seas. The final chapters deal with the various analytical methods available for the engineering analyses of wave-induced forces and motions of floating and compliant structures in regular and random seas. An introduction to the soil-structure interactions is also included. The book can be used for both introduc

Calorimetry in Food Processing: Analysis and Design of Food Systems introduces the basic principles of calorimetry and highlights various applications of calorimetry to characterize temperature-induce

Modern computer simulations make stress analysis easy. As they continue to replace classical mathematical methods of analysis, these software programs require users to have a solid understanding of th

These textbooks systematically introduce the basic theories, the diagnostic methods, the therapeutic methods based on symptom differentiation, and the knowledge of principles of health preservation a

The Carotenoids book series provides an introduction to the fundamental chemistry, detailed accounts of the basic methods used in carotenoid research, and critical discussions of the biochemistry, fun

This book provides an in-depth analysis of selected methods in signal and system theory with applications to problems in communications, stochastic processes and optimal filter theory. The authors tak

This book presents the basic methods of regular perturbation theory of Hamiltonian systems in an accessible fashion. It discusses all main aspects of the basic modern theory of perturbed Hamiltonian s

Just as each person develops from infancy to adulthood, all interpersonal relationships have a life history that encompasses the changes in how people communicate with each other. This book is about how a relationship transforms itself from one pattern of communication to another. The authors present a unique research method called 'relational-historical research', based on advances in dynamic systems theory in developmental psychology, and qualitative methods in life history research. It rests on three premises: that the developing relationship (not the individual) is the unit of analysis; that change emerges from, but is not entirely constrained by, the patterns of the past; and that the developmental process is best revealed by making frequent observations within a particular case before, during, and after a key developmental transition. Looking specifically at the mother–infant relationship, this is a compelling piece of research that will appeal to an international audience of int

From Picasso's Cubism and Duchamp's readymades to Warhol's silkscreens and Smithson's earthworks, the art of the twentieth century broke completely with earlier artistic traditions. A basic change in the market for advanced art produced a heightened demand for innovation, and young conceptual innovators – from Picasso and Duchamp to Rauschenberg and Warhol to Cindy Sherman and Damien Hirst – responded not only by creating dozens of new forms of art, but also by behaving in ways that would have been incomprehensible to their predecessors. Conceptual Revolutions in Twentieth-Century Art presents the first systematic analysis of the reasons for this discontinuity. David W. Galenson, whose earlier research has changed our understanding of creativity, combines social scientific methods with qualitative analysis to produce a fundamentally new interpretation of modern art that will give readers a far deeper appreciation of the art of the past century, and of today, than is available elsewhere

Geoscientists worldwide are developing and applying methodologies to estimate geologic hazards associated with the siting of nuclear facilities. Understanding such hazards, particularly in the context of the long functional lifetimes of many nuclear facilities, is challenging. This book documents the current state-of-the-art in volcanic and tectonic hazard assessment for proposed nuclear facilities, which must be located in areas where the risks associated with geologic processes are quantifiable and demonstrably low. Specific topics include overviews of volcanic and tectonic processes, the history of the development of hazard assessment methodologies, description of current techniques for characterizing hazards, and development of probabilistic methods for estimating risks. Hazard assessment examples are drawn from around the world. This volume will promote interest and debate about this important topic among researchers and graduates developing methods in geologic hazard assessment,

This book covers the basic concepts of mass spectrometry-based metabolomics, as well as methods and applications in various life science-related fields. It aims to be a practical laboratory guide prov

This book tackles the question: how can an engineer with a powerful finite element program but modest background knowledge of mechanics solve unfamiliar problems? Engineering educators will find this book to be a new and exciting approach to helping students engage with complex ideas. Practising engineers who use finite element methods to solve problems in solids and structures will extend the range of problems they can solve as well as accelerate their learning on new problems. This book's special strengths include: • A thoroughly modern approach to learning and understanding mechanics problems • Comprehensive coverage of a large collection of problems ranging from static to dynamic and from linear to nonlinear, applied to a variety of structures and components • Accompanying software that is sophisticated and versatile and is available for free from the book's website • Ability to complement any standard finite element textbook.

In this book Craig, Kinney and their collaborators confront the main unsolved mysteries in Shakespeare's canon through computer analysis of Shakespeare's and other writers' styles. In some cases their analysis confirms the current scholarly consensus, bringing long-standing questions to something like a final resolution. In other areas the book provides more surprising conclusions: that Shakespeare wrote the 1602 additions to The Spanish Tragedy, for example, and that Marlowe along with Shakespeare was a collaborator on Henry VI, Parts 1 and 2. The methods used are more wholeheartedly statistical, and computationally more intensive, than any that have yet been applied to Shakespeare studies. The book also reveals how word patterns help create a characteristic personal style. In tackling traditional problems with the aid of the processing power of the computer, harnessed through computer science, and drawing upon large amounts of data, the book is an exemplar of the new domain of digita

This handbook provides comprehensive coverage of basic concepts and recent developments in the field. Focusing on design, proof of correctness, and complexity analysis, this volume presents a detailed

From Picasso's Cubism and Duchamp's readymades to Warhol's silkscreens and Smithson's earthworks, the art of the twentieth century broke completely with earlier artistic traditions. A basic change in the market for advanced art produced a heightened demand for innovation, and young conceptual innovators – from Picasso and Duchamp to Rauschenberg and Warhol to Cindy Sherman and Damien Hirst – responded not only by creating dozens of new forms of art, but also by behaving in ways that would have been incomprehensible to their predecessors. Conceptual Revolutions in Twentieth-Century Art presents the first systematic analysis of the reasons for this discontinuity. David W. Galenson, whose earlier research has changed our understanding of creativity, combines social scientific methods with qualitative analysis to produce a fundamentally new interpretation of modern art that will give readers a far deeper appreciation of the art of the past century, and of today, than is available elsewhere

This is the first volume to explore the field of clinical magnetoencephalography (MEG) and magnetic source imaging (MSI), the techniques measuring the magnetic fields generated by neuronal activity in the brain. Describing the empirical knowledge gained during the last two decades, this book will serve as a basis for the training of clinicians and scientists entering this new and exciting field. The book covers the methods for recording MEG and performing MSI in a clinical setting and includes practical examples of data collection and analysis. It explains why MEG should be used in the evaluation and treatment of patients being considered for epilepsy surgery, concluding with a section describing the potential for future applications of these methods. This is essential reading for graduate students in clinical neuroscience, residents in neurology and psychiatry, neuroradiology and neurosurgery, specialists in neurophysiology and epilepsy, and clinicians in a wide range of related brain

This book is intended to provide students with an efficient introduction and accessibility to ordinary and partial differential equations, linear algebra, vector analysis, Fourier analysis, and specia

The book starts with the fundamentals of environmental electrochemistry, introducing the basic techniques in selecting and fabricating electrode materials, followed by a theoretical analysis of the el

This book presents sloshing with marine and land-based applications, with a focus on ship tanks. It also includes the nonlinear multimodal method developed by the authors and an introduction to computational fluid dynamics. Emphasis is also placed on rational and simplified methods, including several experimental results. Topics of special interest include antirolling tanks, linear sloshing, viscous wave loads, damping, and slamming. The book contains numerous illustrations, examples and exercises.

This unparelleled reference synthesizes the methods used in microfacies analysis and details the potential of microfacies in evaluating depositional environments and diagenetic history, and, in partic

This book brings together in a single coherent framework a research programme begun by the author in the forties. The main model around which the analysis is built is Hicksian in character, having been drawn in large part from John Hicks's Value and Capital. The model is extended so as to include money and securities. In respect of the theory of the firm the model focuses on demand and supply plans, on inputs and outputs, on inventories, and on dependencies between them. The stability of temporary equilibrium is discussed for linear and non-linear cases. Because the concept of structural stability is important for understanding non-linear cases, it is defined and applied to the case of economic motion generated from the temporary equilibrium analysis. The addenda focus on developments in economic theory following the publication of the main model.

This book provides a thorough examination and analysis of cutting-edge research and security solutions in wireless and mobile networks. It begins with coverage of the basic security concepts and funda

Electrical neuroimaging is based on the analysis of brain electrical activity recorded from the human scalp with multichannel EEG. It offers enormous potential for the dynamic mapping of brain functions, and for the non-invasive diagnosis of neurological and psychiatric conditions. This authoritative reference gives a systematic overview of new electrical imaging methods, with a sound introduction to the basics of multichannel recording of EEG and event-related potential (ERP) data, as well as spatio-temporal analysis of the potential fields. The book enables researchers to measure valid data, select and apply appropriate analysis strategies, and avoid the most common mistakes when analyzing and interpreting EEG/ERP data. Importantly, it informs the research communities of the possibilities opened by these space-domain oriented approaches to the analysis of brain electrical activity, and of their potential to offer even more powerful diagnostic techniques when integrated with other cli

Ever since the concepts of Galois groups in algebra and fundamental groups in topology emerged during the nineteenth century, mathematicians have known of the strong analogies between the two concepts. This book presents the connection starting at an elementary level, showing how the judicious use of algebraic geometry gives access to the powerful interplay between algebra and topology that underpins much modern research in geometry and number theory. Assuming as little technical background as possible, the book starts with basic algebraic and topological concepts, but already presented from the modern viewpoint advocated by Grothendieck. This enables a systematic yet accessible development of the theories of fundamental groups of algebraic curves, fundamental groups of schemes, and Tannakian fundamental groups. The connection between fundamental groups and linear differential equations is also developed at increasing levels of generality. Key applications and recent results, for examp

Measurement in Fluid Mechanics is an introductory general reference in experimental fluid mechanics, describing both classical and more modern methods for flow visualization and for measuring flow rate, pressure, velocity, temperature, concentration, and wall shear stress. Particularly suitable as a textbook for graduate and advanced undergraduate courses, Measurement in Fluid Mechanics is also a valuable tool for practising engineers and applied scientists. This book is written by a single author, in a consistent and straightforward style, with plenty of clear illustrations, an extensive bibliography, and over 100 suggested exercises. Measurement in Fluid Mechanics also features extensive background materials in system response, measurement uncertainty, signal analysis, optics, fluid mechanical apparatus, and laboratory practices, which shield the reader from having to consult with a large number of primary references. Whether for instructional or reference purposes, this book is a va

This book is targeted to graduate students and researchers at the cutting edge of investigations into the fundamental nature of multiphase flows. It is intended as a reference book for the basic methods used in the treatment of multiphase flows. The subject of multiphase flows encompasses a vast field, a host of different technological contexts, a wide spectrum of different scales, a broad range of engineering disciplines, and a multitude of different analytical approaches. The aim of Fundamentals of Multiphase Flow is to bring much of this fundamental understanding together into one book, presenting a unifying approach to the fundamental ideas of multiphase flows. The book summarizes those fundamental concepts with relevance to a broad spectrum of multiphase flows. It does not pretend to present a comprehensive review of the details of any one multiphase flow or technological context; references to such reviews are included where appropriate.

* Offers an overview of the analysis of art and archaeological materials using techniques based on mass spectrometry * Illustrates basic principles, procedures and applications of mass spectrome

"This book provides a comprehensive and integrated approach to management strategy that is based on economics. A basic introductory strategy text that integrates economic analysis with management stra

Computer vision aims to detect and reconstruct features of surfaces from the images produced by cameras, in some way mimicking the way in which humans reconstruct features of the world around them by using their eyes. In this book the authors describe research in computer vision aimed at recovering the 3D shape of surfaces from image sequences of their 'outlines'. They provide all the necessary background in differential geometry (assuming knowledge of elementary algebra and calculus) and in the analysis of visual motion, emphasising intuitive visual understanding of the geometric techniques with computer-generated illustrations. They also give a thorough introduction to the mathematical techniques and the details of the implementations and apply the methods to data from real images using the most current techniques.

How do scientists use analogies and other processes to break away from old theories and generate new ones? This book documents such methods through the analysis of video tapes of scientifically traine

The author of this book relied on field study and documents as basic methods of research, including over ten years of travel through the region south of the Yangtze. He investigated successive generat

Aggregation is the process of combining several numerical values into a single representative value, and an aggregation function performs this operation. These functions arise wherever aggregating information is important: applied and pure mathematics (probability, statistics, decision theory, functional equations), operations research, computer science, and many applied fields (economics and finance, pattern recognition and image processing, data fusion, etc.). This is a comprehensive, rigorous and self-contained exposition of aggregation functions. Classes of aggregation functions covered include triangular norms and conorms, copulas, means and averages, and those based on nonadditive integrals. The properties of each method, as well as their interpretation and analysis, are studied in depth, together with construction methods and practical identification methods. Special attention is given to the nature of scales on which values to be aggregated are defined (ordinal, interval, ratio

On-line learning is one of the most powerful and commonly used techniques for training large layered networks and has been used successfully in many real-world applications. Traditional analytical methods have been recently complemented by ones from statistical physics and Bayesian statistics. This powerful combination of analytical methods provides more insight and deeper understanding of existing algorithms and leads to novel and principled proposals for their improvement. This book presents a coherent picture of the state-of-the-art in the theoretical analysis of on-line learning. An introduction relates the subject to other developments in neural networks and explains the overall picture. Surveys by leading experts in the field combine new and established material and enable non-experts to learn more about the techniques and methods used. This book, the first in the area, provides a comprehensive view of the subject and will be welcomed by mathematicians, scientists and engineers,

The large number of text books on the theory of sound deal principally with periodic disturbances such as harmonic wave trains and standing waves and give scant attention to aperiodic disturbances with clearly defined fronts, conveniently called sound pulses. This monograph attempts to fill this gap by providing an up-to-date description of the theory of sound pulses and its developments. The treatment is based on the thoery of linear partial differential equations of hyperbolic type - a method which is frequently simpler and more effective than the commoner one of resolving the pulse into harmonic components by Fourier analysis; this is especially true of any treatment of pulse fronts as wave fronts in the sense of geometrical optics. The individual chapters deal with the equations of motion, wave fronts and characteristics, geometrical acoustics and their application to reflection problems and the diffraction of a pulse by a wedge, circular cylinder, sphere and other objects. The boo