Methods of Nonlinear Analysis

This book provides a general introduction to applied analysis, vector analysis with physical motivation, calculus of variation, Fourier analysis, eigenfunction expansion, distribution, and so forth, i

This is a textbook and reference for readers interested in quasilinear control (QLC). QLC is a set of methods for performance analysis and design of linear plant or nonlinear instrumentation (LPNI) systems. The approach of QLC is based on the method of stochastic linearization, which reduces the nonlinearities of actuators and sensors to quasilinear gains. Unlike the usual - Jacobian linearization - stochastic linearization is global. Using this approximation, QLC extends most of the linear control theory techniques to LPNI systems. A bisection algorithm for solving these equations is provided. In addition, QLC includes new problems, specific for the LPNI scenario. Examples include Instrumented LQR/LQG, in which the controller is designed simultaneously with the actuator and sensor, and partial and complete performance recovery, in which the degradation of linear performance is either contained by selecting the right instrumentation or completely eliminated by the controller boosting.

Topology-based methods are of increasing importance in the analysis and visualization of datasets from a wide variety of scientific domains such as biology, physics, engineering, and medicine. Current

Many problems in decision making, monitoring, fault detection, and control require the knowledge of state variables and time-varying parameters that are not directly measured by sensors. In such situa

While there are many books about various aspects of food allergy and allergens, not many comprehensively review the wide range of instrumentation and methods used in this analysis. Covering all of the

The third volume in the Handbooks in Health Economic Evaluation series, this book provides the reader with a comprehensive set of instructions and examples of how to perform an economic evaluation of

This book describes behavior of crystalline solids primarily via methods of modern continuum mechanics. Emphasis is given to geometrically nonlinear descriptions, i.e., finite deformations.Primary top

A compilation of research methods and reflecting the expertise of the major contributors to NDS psychology, this book examines the techniques that have proven to be most useful in the behavioral scien

In operations research and computer science it is common practice to evaluate the performance of optimization algorithms on the basis of computational results, and the experimental approach should fol

Banach spaces provide a framework for linear and nonlinear functional analysis, operator theory, abstract analysis, probability, optimization and other branches of mathematics. This book introduces th

This 1997 work explores the role of probabilistic methods for solving combinatorial problems. These methods not only provide the means of efficiently using such notions as characteristic and generating functions, the moment method and so on but also let us use the powerful technique of limit theorems. The basic objects under investigation are nonnegative matrices, partitions and mappings of finite sets, with special emphasis on permutations and graphs, and equivalence classes specified on sequences of finite length consisting of elements of partially ordered sets; these specify the probabilistic setting of Sachkov's general combinatorial scheme. The author pays special attention to using probabilistic methods to obtain asymptotic formulae that are difficult to derive using combinatorial methods. This was an important book, describing many ideas not previously available in English; the author has taken the chance to rewrite parts of the text and refresh the references where appropriate.

This book gives a comprehensive overview of both the fundamentals of wavelet analysis and related tools, and of the most active recent developments towards applications. It offers a state-of-the-art i

This book provides the reader with a comprehensive set of instructions and examples of how to perform a cost-benefit analysis (CBA) of a health intervention. Developed out of a course run by Jordan Lo

Modern techniques of sports performance analysis enable the sport scientist, coach and athlete to objectively assess, and therefore improve upon, sporting performance. They are an important tool for a

This Festschrift volume, published in honor of Egon Borger, contains 14 papers from a Dagstuhl Seminar, which was organized as a "Festkolloquium" on the occasion of his 60th birthday in May 2006. Focu

Modern techniques of sports performance analysis enable the sport scientist, coach and athlete to objectively assess, and therefore improve upon, sporting performance. They are an important tool for a

Kernel methods have long been established as effective techniques in the framework of machine learning and pattern recognition, and have now become the standard approach to many remote sensing applica

Together with the development of information technologies the requirements for data analysis tools have grown significantly. Due to such recent advances, as ubiquitous computing or the Internet of thi

Chemical and biomolecular engineers, pharmacologists, and researchers from various biological and electronic fields describe both the experimental methods and the complexity models that have been deve

In the early years of microarray technology, efforts were directed mainly at profiling expressed genes, while recently the microarray platform has been adapted into diverse applications directed towa

The governing rationale of the reference is that characterizing and analyzing surfaces and interfaces should be pursued in the context of problem solving rather than relying on the capabilities of one

This book illustrates a number of modelling and computational techniques for addressing relevant issues in reliability and risk analysis. In particular, it provides: i) a basic illustration of some me

The use of quantitative EEG (electroencephalography) for neurological monitoring and diagnosing neurological injury, as well as neurological and psychiatric disorders, is gaining acceptance among prof

In Discovering Qualitative Methods, Second Edition, researchers Carol A. B. Warren and Tracy Xavia Karner emphasize the process of social research--from the initial idea to the final paper, journal ar

This book provides an up-to-date treatment of the foundations common to the statistical analysis of network data across the disciplines. The material is organized according to a statistical taxonomy,

This book is useful both to people in the statistics community and in the various communities in which networks currently are heavily used, such as parts of biology, computer science, engineering, ph

Statistical Methods for Categorical Data Analysis is designed as an accessible reference work and textbook about categorical data (that is, data arising from counts instead of measurement. Examples in

A collection of convenient and easy to use, at the bench protocols for protein purification and further manipulations. Some of the methods describing protein purification are from Proteins and Proteo

There have been substantial developments in the methodologies available for the non-destructive and non-invasive measurement of body composition in animals. By bringing together in a single volume a mix of traditional and well-established analytical methods with more modern techniques, Body Composition Analysis: A Handbook of Non-destructive Methods provides a theoretical overview of different methodologies combined with practical advice on the use of these techniques. Methods covered include the use of destructive methods of analysis, body condition indices, isotope and gas dilution methods, total body electrical conductivity, bio-impedance analysis, ultrasound scanning and dual energy X-ray absorptiometry. Aimed at active research workers from advanced undergraduate level upwards, this book will be of particular interest to those working in the fields of animal ecology, conservation biology, animal nutrition and physiology.

Capillary electrophoresis (CE) is a powerful analytical technique that is widely used in research and development and in quality control of pharmaceuticals. Many reports of highly efficient separation

Broadening its scope to nonstatisticians, Bayesian Methods for Data Analysis, Third Edition provides an accessible introduction to the foundations and applications of Bayesian analysis. Along with a c

Reliability and survival analysis are important applications of stochastic mathematics (probability, statistics and stochastic processes) that are usually covered separately in spite of the similarity

In the quest for accurate and efficient analysis of the diverse area encompassed by functional foods and nutraceuticals, analysts encounter unique challenges. Uncertainty over which compound is respon

This book is a tribute to Prof. Alberto Isidori on the occasion of his 65th birthday. Prof. Isidori’s proli?c, pioneering and high-impact research activity has spanned over 35 years. Throughout his ca

Much of the world's surface, even under the oceans, is covered in thick deposits of sedimentary particles - gravel, sand, silt and clay. The nature of the deposits and their formation is very much dependent on the distribution of particles of different sizes. However, different instruments measure different attributes of a particle's size, based on how fast a particle settles in water, or the surface area of a particle, or its length. This book provides information on the how and why of particle size analysis in terms of understanding these sediment deposits.

In this new volume, renowned authors contribute fascinating, cutting-edge insights into microarray data analysis. Information on an array of topics is included in this innovative book including in-dep

Regression analysis has become a mainstay of research in diverse fields; in this edition the authors take this popularity into consideration along with the fact that computers are everywhere. They cov

The study of public policy and the methods of policy analysis are among the most rapidly developing areas in the social sciences. Policy analysis has emerged to provide a better understanding of the

This handbook is a reference guide for selecting and carrying out numerous methods of soil analysis. It is written in accordance with analytical standards and quality control approaches. It covers a l

This 2006 guide to the contemporary toolbox of methods for data analysis will serve graduate students and researchers across the biological sciences. Modern computational tools, such as Maximum Likelihood, Monte Carlo and Bayesian methods, mean that data analysis no longer depends on elaborate assumptions designed to make analytical approaches tractable. These new 'computer-intensive' methods are currently not consistently available in statistical software packages and often require more detailed instructions. The purpose of this book therefore is to introduce some of the most common of these methods by providing a relatively simple description of the techniques. Examples of their application are provided throughout, using real data taken from a wide range of biological research. A series of software instructions for the statistical software package S-PLUS are provided along with problems and solutions for each chapter.