Functional Analysis Methods for Reliability Models

This book treats the classical problem of gravitational physics within Einstein's theory of general relativity. It presents basic principles and equations needed to describe rotating fluid bodies, as well as black holes in equilibrium. It then goes on to deal with a number of analytically tractable limiting cases, placing particular emphasis on the rigidly rotating disc of dust. The book concludes by considering the general case using powerful numerical methods that are applied to various models, including the classical example of equilibrium figures of constant density. Researchers in general relativity, mathematical physics, and astrophysics will find this a valuable reference book on the topic. A related website containing codes for calculating various figures of equilibrium is available at www.cambridge.org/9781107407350.

Among the modern methods used to study prime numbers, the 'sieve' has been one of the most efficient. Originally conceived by Linnik in 1941, the 'large sieve' has developed extensively since the 1960s, with a recent realisation that the underlying principles were capable of applications going well beyond prime number theory. This book develops a general form of sieve inequality, and describes its varied applications, including the study of families of zeta functions of algebraic curves over finite fields; arithmetic properties of characteristic polynomials of random unimodular matrices; homological properties of random 3-manifolds; and the average number of primes dividing the denominators of rational points on elliptic curves. Also covered in detail are the tools of harmonic analysis used to implement the forms of the large sieve inequality, including the Riemann Hypothesis over finite fields, and Property (T) or Property (tau) for discrete groups.

From the most basic cutting and assembling methods to advanced painting, texturing, and finishing techniques, this invaluable guide covers every aspect of producing models for stage sets. Useful hint

Despite the People's Republic of China's remarkable growth over the post-1978 reform period, questions have arisen about the sustainability of its exchange rate policy and the soundness of its financial system. This book focuses on the key monetary challenges to China's continued advancement and addresses such topical issues as the build-up of foreign exchange reserves, monetary control, credit allocation difficulties, and the expanding role of China's asset markets and stock exchanges. Current and past monetary policy strategies are examined in detail as are the banking sector reforms leading up to full foreign competition in December 2006. The analysis also assesses the People's Republic's role within Greater China (including Hong Kong and Taiwan) and the potential for future renminbi monetary hegemony within Asia. The treatment of these issues is intended to be accessible to non-economists and does not assume prior immersion in the underlying formal models.

This book presents state of the art methods for accommodating model uncertainty in random effects and latent variable models. It is divided into four sections featuring articles by experts in the vari

The original research papers collected in this volume continue the development of discrete choice analysis, of related structural models for analysis of choice behavior, and of the statistical theory

Many fundamental processes in analysis are best understood by studying and comparing the summability of series in various modes of convergence. This text provides the beginning graduate student, one with basic knowledge of real and functional analysis, with an account of p-summing and related operators. The account is panoramic, with detailed expositions of the core results and highly non-trivial applications to, for example, harmonic analysis, probability and measure theory, and operator theory. Graduate students and researchers from real, complex and functional analysis, and probability theory will benefit from this account.

Space-time coding is a technique that promises greatly improved performance in wireless networks by using multiple antennas at the transmitter and receiver. Space-Time Block Coding for Wireless Communications, first published in 2003, is an introduction to the theory of this technology. The authors develop the topic using a unified framework and cover a variety of topics ranging from information theory to performance analysis and space-time coding methods for both flat and frequency-selective fading multiple-antenna channels. The authors concentrate on key principles rather than specific practical applications, and present the material in a concise and accessible manner. Their treatment reviews the fundamental aspects of multiple-input, multiple-output communication theory, and guides the reader through a number of topics at the forefront of research and development. The book includes homework exercises and is aimed at graduate students and researchers working on wireless communication

This book is an introduction to the study of mathematical models of electrically active cells, which play an essential role in, for example, nerve conduction and cardiac functions. This is an important and vigorously researched field. In the book, Dr Cronin synthesizes and reviews this material and provides a detailed discussion of the Hodgkin-Huxley model for nerve conduction, which forms the cornerstone of this body of work. Her treatment includes a derivation of the Hodgkin-Huxley model, which is a system of four nonlinear differential equations; a discussion of the validity of this model; and a summary of some of the mathematical analysis carried out on this model. Special emphasis is placed on singular perturbation theory, and arguments, both mathematical and physiological, for using the perturbation viewpoint are presented.

Markov chains are an important idea, related to random walks, which crops up widely in applied stochastic analysis. They are used, for example, in performance modelling and evaluation of computer networks, queuing networks, and telecommunication systems. The main point of the present book is to provide methods, based on the construction of Lyapunov functions, of determining when a Markov chain is ergodic, null recurrent, or transient. These methods can also be extended to the study of questions of stability. Of particular concern are reflected random walks and reflected Brownian motion. The authors provide not only a self-contained introduction to the theory but also details of how the required Lyapunov functions are constructed in various situations.

This book studies the struggle to enforce international human rights law in federal courts. In 1980, a federal appeals court ruled that a Paraguayan family could sue a Paraguayan official under the Alien Tort Statute – a dormant provision of the 1789 Judiciary Act – for torture committed in Paraguay. Since then, courts have been wrestling with this step toward a universal approach to human rights law. Davis examines attempts by human rights groups to use the law to enforce human rights norms. He explains the separation of powers issues arising when victims sue the United States or when the United States intervenes to urge dismissal of a claim and analyses the controversies arising from attempts to hold foreign nations, foreign officials, and corporations liable under international human rights law. While Davis's analysis is driven by social science methods, its foundation is the dramatic human story from which these cases arise.

In recent years the interaction between dynamical systems theory and non-equilibrium statistical mechanics has been enormous. The discovery of fluctuation theorems as a fundamental structure common to almost all non-equilibrium systems, and the connections with the free energy calculation methods of Jarzynski and Crooks, have excited both theorists and experimentalists. This graduate-level book charts the development and theoretical analysis of molecular dynamics as applied to equilibrium and non-equilibrium systems. Designed for both researchers in the field and graduate students of physics, it connects molecular dynamics simulation with the mathematical theory to understand non-equilibrium steady states. It also provides a link between the atomic, nano, and macro worlds. The book ends with an introduction to the use of non-equilibrium statistical mechanics to justify a thermodynamic treatment of non-equilibrium steady states, and gives a direction to further avenues of exploration.

This book studies the struggle to enforce international human rights law in federal courts. In 1980, a federal appeals court ruled that a Paraguayan family could sue a Paraguayan official under the Alien Tort Statute – a dormant provision of the 1789 Judiciary Act – for torture committed in Paraguay. Since then, courts have been wrestling with this step toward a universal approach to human rights law. Davis examines attempts by human rights groups to use the law to enforce human rights norms. He explains the separation of powers issues arising when victims sue the United States or when the United States intervenes to urge dismissal of a claim and analyses the controversies arising from attempts to hold foreign nations, foreign officials, and corporations liable under international human rights law. While Davis's analysis is driven by social science methods, its foundation is the dramatic human story from which these cases arise.

This book is a guide to the use of inverse theory for estimation and conditional simulation of flow and transport parameters in porous media. It describes the theory and practice of estimating properties of underground petroleum reservoirs from measurements of flow in wells, and it explains how to characterize the uncertainty in such estimates. Early chapters present the reader with the necessary background in inverse theory, probability and spatial statistics. The book demonstrates how to calculate sensitivity coefficients and the linearized relationship between models and production data. It also shows how to develop iterative methods for generating estimates and conditional realizations. The text is written for researchers and graduates in petroleum engineering and groundwater hydrology, and can be used as a textbook for advanced courses on inverse theory in petroleum engineering. It includes many worked examples to demonstrate the methodologies and a selection of exercises.

This book represents a comprehensive examination of interest-group politics in France. Rather than the narrow case studies usually employed to study group politics, the book focuses on the overall pattern of interaction between interest groups and government. Drawing upon extensive interviews with French interest-group leaders and politicians, Wilson examines the structures and methods of group politics, the perspectives and attitudes of group leaders, and the place of interest groups in the broader pattern of French politics. He concludes that neither of the two major conceptualizations of interest-group/government relations is adequate to explain group politics in France. He suggests that the French state is much more powerful than recognized by these or other models of interest-group politics. Political influence is difficult for groups to develop and, once achieved, is fleeting. Consequently, groups engage in a wide range of activities, some of which are pluralist, others corporati

Information systems development is not merely a technical intervention but involves social and ethical dilemmas that affect the human, social and organizational domains. To demonstrate this point, the authors conduct a thorough and substantive description and analysis of the conceptual and philosophical underpinnings of systems development. In particular they analyse a number of systems development methodologies including structured methods, prototyping, ETHICS and Soft Systems Methodology to reveal the underlying conceptual and philosophical foundations. The book provides an in-depth analysis of data modelling theory and its links with theories of language and cognition. It offers a framework to describe and analyse different systems development approaches and to explain their strengths and weaknesses. The book is aimed at graduate students taking courses in information systems and data modelling, but will also appeal to information systems managers and professionals for whom the summ

This book presents the salient features of the general theory of infinite electrical networks in a coherent exposition. Using the basic tools of functional analysis and graph theory, the author examines the fundamental developments in the field and discusses applications to other areas of mathematics. The first half of the book presents existence and uniqueness theorems for both infinite-power and finite-power voltage-current regimes, and the second half discusses methods for solving problems in infinite cascades and grids. A notable feature is the invention of transfinite networks, roughly analogous to Cantor's extension of the natural numbers to the transfinite ordinals. The last chapter is a survey of application to exterior problems of partial differential equations, random walks on infinite graphs, and networks of operators on Hilbert spaces.

A radical, empirical investigation of how national courts 'react' to disputes involving international organizations. Through comprehensive analysis of the attitudes and techniques of national courts and underlying political motives, Professor Reinisch first describes various legal approaches that result in adjudication or non-adjudication of disputes concerning international organizations. Secondly he discusses policy issues pro and contra the adjudication of such disputes. His study then scrutinizes the rationale for immunizing international organizations from domestic litigations, especially the 'functional' need for immunity, and substantially debates the implications of a human rights-based right of access to court on immunizing international organizations against national jurisdictions. Finally he identifies contemporary trends, seeking to ascertain whether a more flexible principle exempting certain types of disputes from domestic adjudication might substitute for the traditional

Many phenomena in physics, chemistry, and biology can be modelled by spatial random processes. One such process is continuum percolation, which is used when the phenomenon being modelled is made up of individual events that overlap, for example, the way individual raindrops eventually make the ground evenly wet. This is a systematic rigorous account of continuum percolation. Two models, the Boolean model and the random connection model, are treated in detail, and related continuum models are discussed. All important techniques and methods are explained and applied to obtain results on the existence of phase transitions, equality and continuity of critical densities, compressions, rarefaction, and other aspects of continuum models. This self-contained treatment, assuming only familiarity with measure theory and basic probability theory, will appeal to students and researchers in probability and stochastic geometry.

Evolved from the lectures of a recognized pioneer in developing the theory of reliability, Mathematical Models for Systems Reliability provides a rigorous treatment of the required probability backgro

If you need a book that relates the core principles of quantum mechanics to modern applications in engineering, physics, and nanotechnology, this is it. Students will appreciate the book's applied emphasis, which illustrates theoretical concepts with examples of nanostructured materials, optics, and semiconductor devices. The many worked examples and more than 160 homework problems help students to problem solve and to practise applications of theory. Without assuming a prior knowledge of high-level physics or classical mechanics, the text introduces Schrödinger's equation, operators, and approximation methods. Systems, including the hydrogen atom and crystalline materials, are analyzed in detail. More advanced subjects, such as density matrices, quantum optics, and quantum information, are also covered. Practical applications and algorithms for the computational analysis of simple structures make this an ideal introduction to quantum mechanics for students of engineering, physics, nan

What makes some computers slow? Why do some digital systems operate reliably for years while others fail mysteriously every few hours? How can some systems dissipate kilowatts while others operate off batteries? These questions of speed, reliability, and power are all determined by the system-level electrical design of a digital system. Digital Systems Engineering presents a comprehensive treatment of these topics. It combines a rigorous development of the fundamental principles in each area with real-world examples of circuits and methods. The book not only serves as an undergraduate textbook, filling the gap between circuit design and logic design, but can also help practising digital designers keep pace with the speed and power of modern integrated circuits. The techniques described in this book, once used only in supercomputers, are essential to the correct and efficient operation of any type of digital system.

This book examines the theory of boundary value problems for elliptic systems of partial differential equations, a theory which has many applications in mathematics and the physical sciences. The aim is to 'algebraize' the index theory by means of pseudo-differential operators and methods in the spectral theory of matrix polynomials. This latter theory provides important tools that will enable the student to work efficiently with the principal symbols of the elliptic and boundary operators on the boundary. This book is ideal for use in graduate-level courses on partial differential equations, elliptic systems, pseudo-differential operators and matrix analysis. Since many new methods and results are introduced and used throughout the book, all the theorems are proved in detail, and the methods are well illustrated through numerous examples and exercises.

This book presents and analyses vortex methods as a tool for the direct numerical simulation of incompressible viscous flows. Vortex methods have matured, offering an interesting alternative to finite difference and spectral methods for high-resolution numerical solutions of the Navier–Stokes equations. Research in the numerical analysis aspects of vortex methods has provided a solid mathematical background for understanding the accuracy and stability of the method. At the same time vortex methods retain their appealing physical character that was the motivation for their introduction. Scientists working in the areas of numerical analysis and fluid mechanics will benefit from this book, which may serve both communities as both a reference monograph and a textbook for computational fluid dynamics courses.

The behaviour of systems occurring in real life is often modelled by partial differential equations. This book investigates how a user or observer can influence the behaviour of such systems mathematically and computationally. A thorough mathematical analysis of controllability problems is combined with a detailed investigation of methods used to solve them numerically, these methods being validated by the results of numerical experiments. In Part I of the book the authors discuss the mathematics and numerics relating to the controllability of systems modelled by linear and non-linear diffusion equations; Part II is dedicated to the controllability of vibrating systems, typical ones being those modelled by linear wave equations; finally, Part III covers flow control for systems governed by the Navier-Stokes equations modelling incompressible viscous flow. The book is accessible to graduate students in applied and computational mathematics, engineering and physics; it will also be of us

Terence Mills' best-selling graduate textbook provides detailed coverage of research techniques and findings relating to the empirical analysis of financial markets. In its previous editions it has become required reading for many graduate courses on the econometrics of financial modelling. This third edition, co-authored with Raphael Markellos, contains a wealth of material reflecting the developments of the last decade. Particular attention is paid to the wide range of nonlinear models that are used to analyse financial data observed at high frequencies and to the long memory characteristics found in financial time series. The central material on unit root processes and the modelling of trends and structural breaks has been substantially expanded into a chapter of its own. There is also an extended discussion of the treatment of volatility, accompanied by a new chapter on nonlinearity and its testing.

The first edition of this well known book was noted for its clear and accessible exposition of the basic theory of Hardy spaces from the concrete point of view (in the unit circle and the half plane). The intention was to give the reader, assumed to know basic real and complex variable theory and a little functional analysis, a secure foothold in the basic theory, and to understand its applications in other areas. For this reason, emphasis is placed on methods and the ideas behind them rather than on the accumulation of as many results as possible. The second edition retains that intention, but the coverage has been extended. The author has included two appendices by V. P. Havin, on Peter Jones' interpolation formula, and Havin's own proof of the weak sequential completeness of L1/H1(0); in addition, numerous amendments, additions and corrections have been made throughout.

This updated edition on evaluating the effectiveness of school programs provides an expanded needs-assessment section, additional methods for data analysis, and tools for communicating program results

This updated edition on evaluating the effectiveness of school programs provides an expanded needs-assessment section, additional methods for data analysis, and tools for communicating program result

In early modern England, boys and girls learned to be masculine or feminine as they learned to read and write. This 1999 book explores how gender differences, instilled through specific methods of instruction in literacy, were scrutinised in the English public theatre. Close readings of plays from Shakespeare's Love's Labour's Lost to Thomas Dekker's Whore of Babylon, and of poems, didactic treatises and autobiographical writings from the same period, offer a richly textured analysis of the interaction between didactic precepts, literary models, and historical men and women. At the cross-roads between literary studies and social and cultural history, Eve Sanders' research offers insights into poems, plays, and first-person narratives (including works by women writers, such as Mary Sidney and Anne Clifford) and into the social conflicts that shaped individuals as the writers and readers of such texts.

The renowned communications theorist Robert Gallager brings his lucid writing style to the study of the fundamental system aspects of digital communication for a one-semester course for graduate students. With the clarity and insight that have characterized his teaching and earlier textbooks, he develops a simple framework and then combines this with careful proofs to help the reader understand modern systems and simplified models in an intuitive yet precise way. A strong narrative and links between theory and practice reinforce this concise, practical presentation. The book begins with data compression for arbitrary sources. Gallager then describes how to modulate the resulting binary data for transmission over wires, cables, optical fibers, and wireless channels. Analysis and intuitive interpretations are developed for channel noise models, followed by coverage of the principles of detection, coding, and decoding. The various concepts covered are brought together in a description of

This book is part of a popular series on the materials science of MEMS devices. In the years since, many sophisticated devices have emerged and many aspects of MEMS materials behaviors have been characterized. However, there remain many basic questions about the relationship between process, properties and function for MEMS materials. Experimental methods have been developed, but there remains a lack of standardization that would allow comparison between laboratories and commercial vendors or the creation of materials specifications that would enable greater commercialization of MEMS. The book addresses many of these issues including: RF-MEMS; optical MEMS; MEMS metrology, tribology, materials characterization and mechanical behavior; MEMS surfaces, MEMS reliability, packaging and life assessment; MEMS modeling and software tools for materials integration; biocompatibility of MEMS materials and devices; new materials and fabrication methodologies for MEMS; microfluidics and nanofluidic

For the first time, process technicians have a resource designed specifically for them that will provide a comprehensive, thorough overview of modern troubleshooting methods and models. Process Techno

This is a comprehensive analysis of J. A. Hobson's writings on international relations. Hobson is most famous for developing the neo-Marxist theory of imperialism, but in this book David Long argues that Hobson was also a key figure in the history of liberalism. He shifted liberal international theory away from its laissez-faire origins towards a focus on international organization, making him a forerunner of the functional approach in international relations. The book outlines the philosophical outlook and political economy which informed Hobson's theory, and challenges the narrow interpretation of imperialism which has dominated international relations. Setting out the sources of and contradictions within Hobson's proposals for international government, this book is a contribution not only to the study of international relations, but also to the history of political thought and British liberalism.

When is a random network (almost) connected? How much information can it carry? How can you find a particular destination within the network? And how do you approach these questions - and others - when the network is random? The analysis of communication networks requires a fascinating synthesis of random graph theory, stochastic geometry and percolation theory to provide models for both structure and information flow. This book is the first comprehensive introduction for graduate students and scientists to techniques and problems in the field of spatial random networks. The selection of material is driven by applications arising in engineering, and the treatment is both readable and mathematically rigorous. Though mainly concerned with information-flow-related questions motivated by wireless data networks, the models developed are also of interest in a broader context, ranging from engineering to social networks, biology, and physics.

This text demonstrates the roles of statistical methods, coordinate transformations, and mathematical analysis in mapping complex, unpredictable dynamical systems. Written by a well-known authority in

The purpose of this book is to introduce Fourier descriptors as a method for measuring the shape of whole or parts of organisms. Fourier descriptors refer to the utilization of Fourier analysis, primarily the Fourier series as a curve-fitting technique, that can numerically describe the outline (shape) of irregular structures such as are commonly found in living organisms. The quantitative characterization of irregular forms is often a first step towards elucidation of the underlying biological processes, whether they be genetic, evolutionary, or functional. The first five chapters discuss the theory behind the use of Fourier descriptors and the remaining chapters show case studies of how they can be used in various fields of biology such as anatomy, cell biology, medicine and dentistry. This book is solely devoted to this subject and will be of interest to all those interested in biological morphometrics.

Growth, Maturation and Body Composition documents one of the most remarkable and significant studies in the field of human biology. The Fels Longitudinal Study is the longest, largest and most productive serial study of human growth, maturation and body composition. This book shows how data collected from more than 1000 participants during the past 60 years have been analysed to test a wide range of hypotheses, and describes how the findings have led to the development of improved research methods. Topics covered include the management and analysis of data, prenatal, familial and genetic studies, physical growth, development and maturation, bones and teeth, body composition, and risk factors for cardiovascular disease. With more than 1000 specialized publications of Fels data, the present book provides a unique overview of this fascinating research programme, which will be of interest to a wide range of researchers, including those in the fields of physical anthropology, nutrition scie

This is an introductory text for students interested in identification and analysis of animal remains from archaeological sites. The emphasis is on animals whose remains inform us about the relationship between humans and their natural and social environments, especially site formation processes, subsistence strategies, the processes of domestication, and paleoenvironments. Examining examples from all over the world, from the Pleistocene period up to the present, this volume is organized in a way that is parallel to faunal study, beginning with background information, bias in a faunal assemblage, and basic zooarchaeological methods. This revised edition reflects developments in zooarchaeology during the past decade. It includes sections on enamel ultrastructure and incremental analysis, stable isotyopes and trace elements, ancient genetics and enzymes, environmental reconstruction, people as agents of environmental change, applications of zooarchaeology in animal conservation and herit

This is an introductory text for students interested in identification and analysis of animal remains from archaeological sites. The emphasis is on animals whose remains inform us about the relationship between humans and their natural and social environments, especially site formation processes, subsistence strategies, the processes of domestication, and paleoenvironments. Examining examples from all over the world, from the Pleistocene period up to the present, this volume is organized in a way that is parallel to faunal study, beginning with background information, bias in a faunal assemblage, and basic zooarchaeological methods. This revised edition reflects developments in zooarchaeology during the past decade. It includes sections on enamel ultrastructure and incremental analysis, stable isotyopes and trace elements, ancient genetics and enzymes, environmental reconstruction, people as agents of environmental change, applications of zooarchaeology in animal conservation and herit