Functional Analysis Methods for Reliability Models

This book deals with the various thermodynamic concepts used for the analysis of nonlinear dynamical systems. The most important invariants used to characterise chaotic systems are introduced in a way that stresses the interconnections with thermodynamics and statistical mechanics. Among the subjects treated are: probabilistic aspects of chaotic dynamics; the symbolic dynamics technique; information measures, the maximum entropy principle; general thermodynamic relations; spin systems; fractals and multifractals; expansion rate and information loss; the topological pressure; transfer operator methods; and repellers and escape. The more advanced chapters deal with the thermodynamic formalism for expanding maps, the thermodynamic analysis of chaotic systems with several intensive parameters and phase transitions in nonlinear dynamics.

As an introduction to the subject for beginners or reference for experienced modelers, this volume provides a unified treatment of the models, governing equations and numerical methods, and a review o

This is the fourth volume of the Handbook of Econometrics. The Handbook is a definitive reference source and teaching aid for econometricians. It examines models, estimation theory, data analysis and

This second volume of essays in Chopin Studies contains Chopin research by twelve leading scholars. Three main topics are addressed: reception history, aesthetics and criticism, and performance studies. The first four chapters investigate certain images associated with Chopin during his lifetime and after his death: Chopin as classical composer, as salon composer, as modernist, as 'otherwordly', as androgyne. The next four essays contextualize and define aspects of his musical language, including narrative stuctures, baroque affinities, progressive tendencies and functional ambiguity. The last four deal with analysis and source study as related to performance, structure and expression, tempo rubato and 'authentic' interpretation. The book ends with a thumbnail sketch of Chopin as revealed in a recently discovered diary for 1847–8.

This book analyses the crucial features of unionised labour markets. The models in the book refer to labour contracts between unions and management, but the method of analysis is also applicable to non-union labour markets where workers have some market power. In this book, Alison Booth, a researcher in the field, emphasises the connection between theoretical and empirical approaches to studying unionised labour markets. She also highlights the importance of taking into account institutional differences between countries and sectors when constructing models of the unionised labour market. While the focus of the book is on the US and British unionised labour markets, the models and analytical methods are applicable to other industrialised countries with appropriate modifications.

This book analyses the crucial features of unionised labour markets. The models in the book refer to labour contracts between unions and management, but the method of analysis is also applicable to non-union labour markets where workers have some market power. In this book, Alison Booth, a researcher in the field, emphasises the connection between theoretical and empirical approaches to studying unionised labour markets. She also highlights the importance of taking into account institutional differences between countries and sectors when constructing models of the unionised labour market. While the focus of the book is on the US and British unionised labour markets, the models and analytical methods are applicable to other industrialised countries with appropriate modifications.

This work is concerned with the dependability characteristics of reliability models which have a partitioned state space. In applications these partitions will correspond to various degrees of system

Acta Numerica has established itself as the prime forum for the presentation of definitive reviews of numerical analysis topics. The invited papers by leaders in their respective fields allow researchers and graduate students alike quickly to grasp the then current trends and developments of 1994. Highlights of the year's issue are articles on domain decomposition, mesh adaption, pseudospectral methods and neural networks.

This book is concerned with the bifurcation theory, the study of the changes in the structures of the solution of ordinary differential equations as parameters of the model vary. The theory has developed rapidly over the past two decades. Chapters 1 and 2 of the book introduce two systematic methods of simplifying equations: centre manifold theory and normal form theory, by which the dimension of equations may be reduced and the forms changed so that they are as simple as possible. Chapters 3–5 of the book study in considerable detail the bifurcation of those one- or two-dimensional equations with one, two or several parameters. This book is aimed at mathematicians and graduate students interested in dynamical systems, ordinary differential equations and/or bifurcation theory. The basic knowledge required by this book is advanced calculus, functional analysis and qualitative theory of ordinary differential equations.

Physics by Example contains two hundred problems from a wide range of key topics, along with detailed, step-by-step solutions. By guiding the reader through carefully chosen examples, this book will help to develop skill in manipulating physical concepts. Topics dealt with include: statistical analysis, classical mechanics, gravitation and orbits, special relativity, basic quantum physics, oscillations and waves, optics, electromagnetism, electric circuits, and thermodynamics. There is also a section listing physical constants and other useful data, including a summary of some important mathematical results. In discussing the key factors and most suitable methods of approach for given problems, this book imparts many useful insights, and will be invaluable to anyone taking first or second year undergraduate courses in physics.

This volume is concerned with the understanding and modeling of combustion in high speed flows. The exploration of a dual approach combining asymptotic and numerical methods for the analysis of the

A graduate or undergraduate textbook for students in any field that uses computer models and simulation. Knowledge of differential equations, linear algebra, and matrix analysis, and some programming

Physics by Example contains two hundred problems from a wide range of key topics, along with detailed, step-by-step solutions. By guiding the reader through carefully chosen examples, this book will help to develop skill in manipulating physical concepts. Topics dealt with include: statistical analysis, classical mechanics, gravitation and orbits, special relativity, basic quantum physics, oscillations and waves, optics, electromagnetism, electric circuits, and thermodynamics. There is also a section listing physical constants and other useful data, including a summary of some important mathematical results. In discussing the key factors and most suitable methods of approach for given problems, this book imparts many useful insights, and will be invaluable to anyone taking first or second year undergraduate courses in physics.

The aim of this book is to characterize certain multiplicative and additive arithmetical functions by combining methods from number theory with some simple ideas from functional and harmonic analysis. The authors achieve this goal by considering convolutions of arithmetical functions, elementary mean-value theorems, and properties of related multiplicative functions. They also prove the mean-value theorems of Wirsing and Halász and study the pointwise convergence of the Ramanujan expansion. Finally, some applications to power series with multiplicative coefficients are included, along with exercises and an extensive bibliography.

Leading experts discuss the characteristics, advantages, limitations and future aspects of modern spectroscopic techniques for environmental analysis. Demonstrates how these methods can be applied to

This is a guide to the various frameworks, concepts, and methods available for the analysis of discourse within linguistics. It compares six dominant approaches to discourse analysis: speech act theor

An in-depth treatment of the transient stability problem, its physical description and formulation. Discusses methods for transient stability analysis, sensitivity assessment and control. Considers co

Numbers are part of our everyday experience and their properties have fascinated mankind since ancient times. Deciding whether a number is prime and if not, what its factors are, are both fundamental problems. In recent years analysis and solution of these problems have assumed commercial significance since large primes are an essential feature of secure methods of information transmission. The purely mathematical fascination that led to the development of methods for primality testing has been supplemented by the need to test within reasonable timescales, and computational methods have entered at all levels of number theory. In this book, Peter Giblin describes, in the context of an introduction to the theory of numbers, some of the more elementary methods for factorization and primality testing; that is, methods independent of a knowledge of other areas of mathematics. Indeed everything is developed from scratch so the mathematical prerequisites are minimal. An essential feature of t

This 1991 book is a selection of Jacques Drèze's work over the last decade on the topics of lasting unemployment, stagflation and unused capacity. At the theoretical level, the author has contributed to the formulation and analysis of general equilibrium models which allow for price rigidities and excess supply and lend themselves to econometric implementation, thus represents an attempt to integrate micro- and macroeconomics, and to use theory for empirical and policy purposes.

In this book David Currie and Paul Levine address a broad range of issues concerning the design and conduct of macroeconomic policy in open economies. Adopting neo-Keynesian models for which monetary and fiscal policy have short-term real effects, they analyse active stabilisation policies in both a single- and multi-country context. Questions addressed include: the merits of simple policy rules, policy design in the face of uncertainty and international policy coordination. A central feature of the book is the treatment of credibility and the effect of a policy-maker's reputation for sticking to announced policies. These considerations are integrated with coordination issues to produce a unique synthesis. The volume develops optimal control methods and dynamic game theory to handle relationships between governments and a conscious rational private sector and produces a unified, coherent approach to the subject. This book will be of interest to students and teachers of open economy mac

This is a fully revised and updated version of Hans van der Doel's Democracy and Welfare Economics. It presents the economic theory of political decision-making (otherwise knownn as new political economy, or public choice), providing students with an accessible and clear introduction to this important subject. The authors identify four different methods of decision-making by which the political process transforms the demands of individual citizens into government policy and public goods and services: negotiation, majority decision, representations and bureaucratic implementation. These are analysed, in turn, as independent decision-making models whose effectiveness is examined with reference to economic theory. A final chapter draws conclusions from this analysis, arguing that the size of the public sector is a result of forces that work in different directions at different stages of the political process.

This procedure offers complete methodologies for sampling and measuring particle streams and summarizes methods of particle size analysis. It also lists operating variables to be considered and measur

This book is concerned with the problem of wage rigidities in macroeconomic theory, and their implications for public policy. It offers an analysis of the microeconomic foundations of rigid wages, considering their implications for normative economics, and their role in explaining involuntary unemployment. The initial chapters examine short-run macroeconomic equilibrium with nominal rigidities within the framework of fixed-price temporary equilibria. This is followed by an overview and assessment of the main microeconomic mechanisms likely to account for real wage rigidity. In this context new findings concerning microeconomic mechanisms likely to account for real wage rigidity, including implicit contract theory, union behaviour and efficiency wage models are reported. The effect of efficiency wages on macroeconomic fluctuations is also considered. Finally an analysis of the important public policy issues raised in the book is provided.

Logic programming was based on first-order logic. Higher-order logics can also lead to theories of theorem-proving. This book introduces just such a theory, based on a lambda-calculus formulation of a clausal logic with equality, known as the Clausal Theory of Types. By restricting this logic to Horn clauses, a concise form of logic programming that incorporates functional programming is achieved. The book begins by reviewing the fundamental Skolem-Herbrand-Gödel Theorem and resolution, which are then extrapolated to a higher-order setting; this requires introducing higher-order equational unification which builds in higher-order equational theories and uses higher-order rewriting. The logic programming language derived has the unique property of being sound and complete with respect to Henkin-Andrews general models, and consequently of treating equivalent terms as identical. First published in 1993, the book can be used for graduate courses in theorem-proving, but will be of interest

This book outlines the basic science underlying the prediction of stress and velocity distributions in granular materials. It takes the form of a textbook suitable for postgraduate courses, research workers and for use in design offices. The nature of a rigid-plastic material is discussed and a comparison is made between the Coulomb and conical (extended Von Mises) models. The methods of measuring material properties are described and an interpretation of the experimental results is considered in the context of the Critical State Theory. The book will be an invaluable text for all those working with or doing research into granular materials. Exercises and solutions are provided which will be particularly useful for the student.

This text is a beginning graduate-level introduction to neural networks, focussing on current theoretical models, examining what these models can reveal about how the brain functions, and discussing the ramifications for psychology, artificial intelligence and the construction of a new generation of intelligent computers. The book is divided into four parts. The first part gives an account of the anatomy of the central nervous system, followed by a brief introduction to neurophysiology. The second part is devoted to the dynamics of neuronal states, and demonstrates how very simple models may stimulate associative memory. The third part of the book discusses models of learning, including detailed discussions on the limits of memory storage, methods of learning and their associated models, associativity, and error correction. The final part reviews possible applications of neural networks in artificial intelligence, expert systems, optimization problems, and the construction of actual ne

This text is a beginning graduate-level introduction to neural networks, focussing on current theoretical models, examining what these models can reveal about how the brain functions, and discussing the ramifications for psychology, artificial intelligence and the construction of a new generation of intelligent computers. The book is divided into four parts. The first part gives an account of the anatomy of the central nervous system, followed by a brief introduction to neurophysiology. The second part is devoted to the dynamics of neuronal states, and demonstrates how very simple models may stimulate associative memory. The third part of the book discusses models of learning, including detailed discussions on the limits of memory storage, methods of learning and their associated models, associativity, and error correction. The final part reviews possible applications of neural networks in artificial intelligence, expert systems, optimization problems, and the construction of actual ne

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

Algebraic geometers have renewed their interest in the interplay between algebraic vector bundles and projective embeddings. New methods have been developed for questions such as: what is the geometric content of syzygies and of bundles derived from them? how can they be used for giving good compactifications of natural families? which differential techniques are needed for the study of families of projective varieties? Such problems have often been reformulated over the last decade; often the need for a deeper analysis of the works of classical algebraic geometers was recognised. These questions were addressed at successive conferences held in Trieste and Bergen. New results, work in progress, conjectures and modern accounts of classical ideas were presented. This collection represents a development of the work conducted at the conferences; the Editors have taken the opportunity to mould the papers into a cohesive volume.

Features a compendium of methods, classified according to the functional groups which interact to form the new ring, for the synthesis of a heterocyclic ring (containing 5-8 atoms) which is fused to a

The aim of this book is to make more widely available a body of recent research activity that has become known as applied general equilibrium analysis. The central idea underlying this work is to convert the Walrasian general equilibrium structure (formalized in the 1950s by Kenneth Arrow, Gerard Debreu and others) from an abstract representation of an economy into realistic models of actual economies. Numerical, empirically based general equilibrium models can then be used to evaluate concrete policy options by specifying production and demand parameters and incorporating data reflective of real economies. Shoven and Whalley describe all aspects of developing applied general equilibrium models, including developing an appropriate equilibrium structure, calibrating the model, compiling counterfactual equilibria, and interpreting results. The authors contend that the Walrasian general equilibrium model provides an ideal framework for appraising the effects of policy changes on resource

The aim of this book is to make more widely available a body of recent research activity that has become known as applied general equilibrium analysis. The central idea underlying this work is to convert the Walrasian general equilibrium structure (formalized in the 1950s by Kenneth Arrow, Gerard Debreu and others) from an abstract representation of an economy into realistic models of actual economies. Numerical, empirically based general equilibrium models can then be used to evaluate concrete policy options by specifying production and demand parameters and incorporating data reflective of real economies. Shoven and Whalley describe all aspects of developing applied general equilibrium models, including developing an appropriate equilibrium structure, calibrating the model, compiling counterfactual equilibria, and interpreting results. The authors contend that the Walrasian general equilibrium model provides an ideal framework for appraising the effects of policy changes on resource

The interaction between light and electrons in semiconductors forms the basis for many interesting and practically significant properties. This book examines the fundamental physics underlying this rich complexity of photoelectronic properties of semiconductors, and will familiarise the reader with the relatively simple models that are useful in describing these fundamentals. The basic physics is also illustrated with typical recent examples of experimental data and observations. Following introductory material on the basic concepts, the book moves on to consider a wide range of phenomena, including photoconductivity, recombination effects, photoelectronic methods of defect analysis, photoeffects at grain boundaries, amorphous semiconductors, photovoltaic effects and photoeffects in quantum wells and superlattices. The author is Professor of Materials Science and Electrical Engineering at Stanford University, and has taught this material for many years. He is an experienced author, his

Originally published in 1992, this book provides a detailed analysis of the economics of the Soviet urban household sector during the 1970s. It contains eight studies covering the size and distribution of incomes and wealth, the incidence and causes of poverty, the labour supply of women, division of labour among household members, and saving behaviour. Ofer and Vinokur conclude that socialist achievements in the sphere of economic equality were rather modest. They also show that, even under the peculiar conditions imposed on Soviet households by the socialist system, they responded to economic constraints in a way that is predictable by ordinary Western-type models of household behaviour. It will be an invaluable reference source for specialists of Soviet studies, comparative economics, income distribution and women's studies as well as for government officials and journalists.

This 1992 book traces the ways in which Mark Twain was formed by, and sought to manipulate, the ideology of gender. Feminine and masculine values exist via their opposition to and interplay with each other, and Twain, a representative masculine figure, provides a useful focal point for an exploration of the subject. Not only did Twain address himself directly to the conflicting and complementary aspects of gendered culture, but his models of history are strongly marked by the same issue: his exploitation of North/male - South/female associations is investigated, as well as the significance of individual figures such as Joan of Arc. Stoneley considers the range of Twain's writing, including classic works such as Adventures of Huckleberry Finn, genteel fiction such as The Prince and the Pauper and embittered autobiographical fragments. Stoneley goes beyond generalizations to provide a detailed analysis; his book will be of interest to scholars and students of American literature, cultura

This textbook considers the methods used by governments to change the economic and social framework within which agricultural production takes place: by influencing the prices of farm inputs and outputs, by modifying agricultural institutions, and by promoting new technologies in agriculture. The book is organised around a central set of eight policy chapters, covering topics of price policy, marketing policy, input policy, credit policy, mechanisation policy, land reform policy, research policy and irrigation policy. These chapters are preceded by material covering the nature of policy, in the context of the market versus state debate, and the principles used by economists to undertake agricultural policy analysis. They are followed by chapters that examine the status of women in agricultural policy, and that summarise aspects of food policy not covered in the main chapters. This book is designed for undergraduate and graduate students taking courses related to agricultural policy, ag

This 1992 book provides a comprehensive introduction to the theory of electrical circuits for students in the physical sciences taking a first course in electronics. The methods of circuit analysis are clearly explained and illustrated with the aid of numerous worked examples. Applications of the theory relevant to the fields of electronics, telecommunications and power systems are treated throughout. These sections will prepare students for more advanced courses. The text is written for first and second year undergraduate courses in electronics for science and engineering students. The more specialised sections also provide some advanced material which is covered in third year courses.

This 1992 book provides a comprehensive introduction to the theory of electrical circuits for students in the physical sciences taking a first course in electronics. The methods of circuit analysis are clearly explained and illustrated with the aid of numerous worked examples. Applications of the theory relevant to the fields of electronics, telecommunications and power systems are treated throughout. These sections will prepare students for more advanced courses. The text is written for first and second year undergraduate courses in electronics for science and engineering students. The more specialised sections also provide some advanced material which is covered in third year courses.

The Dunns have written extensively on the subject of learning styles. Here they provide thorough analysis of each of 21 elements of learning style, along with observational methods for recognizing the

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.