Basic Methods of Linear Functional Analysis

This book is concerned with digital image processing techniques that use partial differential equations (PDEs) for the task of image 'inpainting', an artistic term for virtual image restoration or interpolation, whereby missing or occluded parts in images are completed based on information provided by intact parts. Computer graphic designers, artists and photographers have long used manual inpainting to restore damaged paintings or manipulate photographs. Today, mathematicians apply powerful methods based on PDEs to automate this task. This book introduces the mathematical concept of PDEs for virtual image restoration. It gives the full picture, from the first modelling steps originating in Gestalt theory and arts restoration to the analysis of resulting PDE models, numerical realisation and real-world application. This broad approach also gives insight into functional analysis, variational calculus, optimisation and numerical analysis and will appeal to researchers and graduate studen

This sophisticated package of statistical methods is for advanced master's (MPH) and PhD students in public health and epidemiology who are involved in the analysis of data. It makes the link from statistical theory to data analysis, focusing on the methods and data types most common in public health and related fields. Like most toolboxes, the statistical tools in this book are organized into sections with similar objectives. Unlike most toolboxes, however, these tools are accompanied by complete instructions, explanations, detailed examples, and advice on relevant issues and potential pitfalls - conveying skills, intuition, and experience. The only prerequisite is a first-year statistics course and familiarity with a computing package such as R, Stata, SPSS, or SAS. Though the book is not tied to a particular computing language, its figures and analyses were all created using R. Relevant R code, data sets, and links to public data sets are available from www.cambridge.org/97811071130

Traditional well logging methods, such as resistivity, acoustic, nuclear and NMR, provide indirect information related to fluid and formation properties. The “formation tester,” of

Comprehensive coverage of quantitative investment analysis methods with hands-on practiceQuantitative Investment Analysis, Third Edition is a comprehensive guide to the complex world of investment ana

Brugnano and Iavernaro deal with the numerical solution of differential problems within the framework of geometric integration, a branch of numerical analysis that aims to devise numerical methods abl

This volume provides detailed molecular analysis of the associated pathways and cell types involved in Celiac Disease, and embraces new technologies such as next generation sequencing. The book is div

This expert volume provides insights into the technological fundamentals together with a comprehensive overview of the potentialities of peptide microarray technology in basic research and clinical as

Public Administration: Research Strategies, Concepts, and Methods explores how scholars of public administration and institutional politics can improve their analysis by focusing on the contextual par

During the past two decades there has been active interplay between geometric measure theory and Fourier analysis. This book describes part of that development, concentrating on the relationship between the Fourier transform and Hausdorff dimension. The main topics concern applications of the Fourier transform to geometric problems involving Hausdorff dimension, such as Marstrand type projection theorems and Falconer's distance set problem, and the role of Hausdorff dimension in modern Fourier analysis, especially in Kakeya methods and Fourier restriction phenomena. The discussion includes both classical results and recent developments in the area. The author emphasises partial results of important open problems, for example, Falconer's distance set conjecture, the Kakeya conjecture and the Fourier restriction conjecture. Essentially self-contained, this book is suitable for graduate students and researchers in mathematics.

This text introduces the basic concepts of function spaces and operators, both from the continuous and discrete viewpoints. Fourier and Window Fourier Transforms are introduced and used as a guide to

A comprehensive overview of how to scientifically evaluate of traditional Chinese medicines(TCMs), this book covers regulatory requirements, statistical design, and data analysis for studies conducted

This volume mirrors the holistic feature of whole genome amplification (WGA) technology by combining reviews, detailed basic methods, and advanced sample workflows. The first part of the book covers a

«Empirical Methods in Language Studies» presents 22 papers employing a broad range of empirical methods in the analysis of various aspects of language and communication. The individual texts offer con

This book provides a rigorous treatment of spectral analysis using Fourier-based techniques in the geosciences, specifically geodesy and geophysics that deal with global and regional spatial data. It

In this volume, expert researchers detail protocols for evaluating the protean effects of immunosenescence on innate and adaptive immune function, including approaches to the analysis of antigen recep

This volume details up-to-date information and attempts to take the reader into the exciting realm of TGF-s from the basic principles to the practical applications. Chapters provide basic introduction

This extensive volume covers basic and advanced aspects of peptide antibody production, characterization and uses. Although peptide antibodies have been available for many years, they continue to be a

This volume reviews available mouse models of atherosclerosis, basic aspects of disease initiation and progression, and the visualization of atherosclerotic lesions with invasive and non-invasive tech

Metabolic Analysis Using Stable Isotopes, the newest volume in Methods in Enzymology continues the legacy of this premier serial with quality chapters authored by leaders in the field. This volume cov

This book covers a number of topics that are important in current measure theory and practice. It emphasizes nonparametric methods which can really only be implemented with modern computing power on l

Cancer Treatment and the Ovary: Clinical and Laboratory Analysis of Ovarian Toxicityprovides the reader with a basic understanding on how the ovary is adversely impacted by cancer treatment, an essent

The Art and Science of Analyzing Software Data: Analysis Patterns provides valuable information on the analysis methods that often transfer between projects, not only the algorithms derived from data

Dialogue in the Book of Signs offers a polyvalent analysis of John 1:19-12:50 at the micro-, meso-, and macro-levels. With the help of several synchronic methods, including genre, narrative, rhetorica

Uncover the Useful Interactions of Fixed Point Theory with Topological StructuresNonlinear Functional Analysis in Banach Spaces and Banach Algebras: Fixed Point Theory under Weak Topology for Nonlinea

Analyze Repeated Measures Studies Using Bayesian TechniquesGoing beyond standard non-Bayesian books, Bayesian Methods for Repeated Measures presents the main ideas for the analysis of repeated measure

This book provides a basic introduction to reduced basis (RB) methods for problems involving the repeated solution of partial differential equations (PDEs) arising from engineering and applied science

Translated from the popular French edition, this book offers a detailed introduction to various basic concepts, methods, principles, and results of commutative algebra. It takes a constructive viewpoi

The second edition of this popular book brings students fully up to date with the latest methods and techniques in choice analysis. Comprehensive yet accessible, it offers a unique introduction to anyone interested in understanding how to model and forecast the range of choices made by individuals and groups. In addition to a complete rewrite of several chapters, new topics covered include ordered choice, scaled MNL, generalized mixed logit, latent class models, group decision making, heuristics and attribute processing strategies, expected utility theory, and prospect theoretic applications. Many additional case studies are used to illustrate the applications of choice analysis with extensive command syntax provided for all Nlogit applications and datasets available online. With its unique blend of theory, estimation, and application, this book has broad appeal to all those interested in choice modeling methods and will be a valuable resource for students as well as researchers, profe

The recent appearance of wavelets as a new computational tool in applied mathematics has given a new impetus to the field of numerical analysis of Fredholm integral equations. This book gives an account of the state of the art in the study of fast multiscale methods for solving these equations based on wavelets. The authors begin by introducing essential concepts and describing conventional numerical methods. They then develop fast algorithms and apply these to solving linear, nonlinear Fredholm integral equations of the second kind, ill-posed integral equations of the first kind and eigen-problems of compact integral operators. Theorems of functional analysis used throughout the book are summarised in the appendix. The book is an essential reference for practitioners wishing to use the new techniques. It may also be used as a text, with the first five chapters forming the basis of a one-semester course for advanced undergraduates or beginning graduates.

This book shows how to use a range of critical approaches to do research on terrorism.It includes a diverse range of critical methodological approaches – including discourse analysis, feminist, postco

This book shows how to use a range of critical approaches to do research on terrorism.It includes a diverse range of critical methodological approaches – including discourse analysis, feminist, postco

The main aim of the book is to present new constructive methods of delay differential equation (DDE) theory and to give readers practical tools for analysis, control design and simulating of linear sy

The second edition of this monograph describes the set-theoretic approach for the control and analysis of dynamic systems, both from a theoretical and practical standpoint. This approach is linked to

The author offers a ground-breaking analysis of the political discourses that facilitated the rise of cash transfers as instruments of development policy since the 1990s. Using an innovative theoretic

In recent years, there has been growing interest in the development and application of quantitative statistical methods to study choices made by individuals. This primer provides an introduction to th

Reaction-diffusion theory is a topic which has developed rapidly over the last thirty years, particularly with regards to applications in chemistry and life sciences. Of particular importance is the analysis of semi-linear parabolic PDEs. This monograph provides a general approach to the study of semi-linear parabolic equations when the nonlinearity, while failing to be Lipschitz continuous, is Hölder and/or upper Lipschitz continuous, a scenario that is not well studied, despite occurring often in models. The text presents new existence, uniqueness and continuous dependence results, leading to global and uniformly global well-posedness results (in the sense of Hadamard). Extensions of classical maximum/minimum principles, comparison theorems and derivative (Schauder-type) estimates are developed and employed. Detailed specific applications are presented in the later stages of the monograph. Requiring only a solid background in real analysis, this book is suitable for researchers in al

What are the models used in phylogenetic analysis and what exactly is involved in Bayesian evolutionary analysis using Markov chain Monte Carlo (MCMC) methods? How can you choose and apply these models, which parameterisations and priors make sense, and how can you diagnose Bayesian MCMC when things go wrong? These are just a few of the questions answered in this comprehensive overview of Bayesian approaches to phylogenetics. This practical guide: • Addresses the theoretical aspects of the field • Advises on how to prepare and perform phylogenetic analysis • Helps with interpreting analyses and visualisation of phylogenies • Describes the software architecture • Helps developing BEAST 2.2 extensions to allow these models to be extended further. With an accompanying website providing example files and tutorials (http://beast2.org/), this one-stop reference to applying the latest phylogenetic models in BEAST 2 will provide essential guidance for all users – from those using phylogeneti

This fifth edition of Histological and Histochemical Methods continues to provide a clear and consistent introduction to the techniques, description and analysis of the chemical and physical principle

This book reviews nonparametric Bayesian methods and models that have proven useful in the context of data analysis. Rather than providing an encyclopedic review of probability models, the book’s stru

The imaging of moving organs such as the heart, in particular, is a real challenge because of its movement. This book presents current and emerging methods developed for the acquisition of images of m