This book provides a modern and up-to-date treatment of the Hilbert transform of distributions and the space of periodic distributions. Taking a simple and effective approach to a complex subject, this volume is a first-rate textbook at the graduate level as well as an extremely useful reference for mathematicians, applied scientists, and engineers. The author, a leading authority in the field, shares with the reader many new results from his exhaustive research on the Hilbert transform of Schwartz distributions. He describes in detail how to use the Hilbert transform to solve theoretical and physical problems in a wide range of disciplines; these include aerofoil problems, dispersion relations, high-energy physics, potential theory problems, and others. Innovative at every step, J. N. Pandey provides a new definition for the Hilbert transform of periodic functions, which is especially useful for those working in the area of signal processing for computational purposes. This definition could also form the basis for a unified theory of the Hilbert transform of periodic, as well as nonperiodic, functions. The Hilbert transform and the approximate Hilbert transform of periodic functions are worked out in detail for the first time in book form and can be used to solve Laplace's equation with periodic boundary conditions. Among the many theoretical results proved in this book is a Paley-Wiener type theorem giving the characterization of functions and generalized functions whose Fourier transforms are supported in certain orthants of Rn. Placing a strong emphasis on easy application of theory and techniques, the book generalizes the Hilbert problem in higher dimensions and solves it in function spaces as well as in generalized function spaces. It simplifies the one-dimensional transform of distributions; provides solutions to the distributional Hilbert problems and singular integral equations; and covers the intrinsic definition of the testing function spaces and its topology. The book includes exercises and review material for all major topics, and incorporates classical and distributional problems into the main text. Thorough and accessible, it explores new ways to use this important integral transform, and reinforces its value in both mathematical research and applied science. The Hilbert transform made accessible with many new formulas and definitions Written by today's foremost expert on the Hilbert transform of generalized functions, this combined text and reference covers the Hilbert transform of distributions and the space of periodic distributions. The author provides a consistently accessible treatment of this advanced-level subject and teaches techniques that can be easily applied to theoretical and physical problems encountered by mathematicians, applied scientists, and graduate students in mathematics and engineering. Introducing many new inversion formulas that have been developed and applied by the author and his research associates, the book: * Provides solutions to the distributional Hilbert problem and singular integral equations * Focuses on the Hilbert transform of Schwartz distributions, giving intrinsic definitions of the space H(D) and its topology * Covers the Paley-Wiener theorem and provides many important theoretical results of importance to research mathematicians * Provides the characterization of functions and generalized functions whose Fourier transforms are supported in certain orthants of Rn * Offers a new definition of the Hilbert transform of the periodic function that can be used for computational purposes in signal processing * Develops the theory of the Hilbert transform of periodic distributions and the approximate Hilbert transform of periodic distributions * Provid
Written in clear, jargon-free prose, this introductory text charts the variety of novel writing in English in the second half of the twentieth century. An engaging introduction to the English-language novel from 1950-2000 (exclusive of the US). Provides students both with strategies for interpretation and with fresh readings of selected seminal texts. Maps out the most important contexts and concepts for understanding this fiction. Features readings of ten influential English-language novels including Margaret Atwood's The Handmaid's Tale, Kazuo Ishiguro’s Remains of the Day and Chinua Achebe's Things Fall Apart.
Written in clear, jargon-free prose, this introductory text charts the variety of novel writing in English in the second half of the twentieth century. An engaging introduction to the English-language novel from 1950-2000 (exclusive of the US). Provides students both with strategies for interpretation and with fresh readings of selected seminal texts. Maps out the most important contexts and concepts for understanding this fiction. Features readings of ten influential English-language novels including Margaret Atwood's The Handmaid's Tale, Kazuo Ishiguro’s Remains of the Day and Chinua Achebe's Things Fall Apart.
An excellent text for clients to read before meeting with attorneys so they'll understand the fundamentals of patent, copyright, trade secret, trademark, mask work, and unfair competition laws. This is not a «do-it-yourself» manual but rather a ready reference tool for inventors or creators that will generate maximum efficiencies in obtaining, preserving and enforcing their intellectual property rights. It explains why they need to secure the services of IPR attorneys. Coverage includes employment contracts, including the ability of engineers to take confidential and secret knowledge to a new job, shop rights and information to help an entrepreneur establish a non-conflicting enterprise when leaving their prior employment. Sample forms of contracts, contract clauses, and points to consider before signing employment agreements are included. Coverage of copyright, software protection, and the Digital Millennium Copyright Act (DMCA) as well as the procedural variances in international intellectual property laws and procedures.
Chemistry: An Introduction for Medical and Health Sciences provides students and practitioners with a clear, readable introduction to the chemical terms and concepts that are relevant to their study and practice. Assuming little prior knowledge of the subject the book describes and explains the chemistry underlying many of the most commonly prescribed drugs and medicines. It also includes information on chemical aspects of digestion and nutrition, oxidation, radioactivity and an overview of how chemicals fight disease. Excellent pedagogy including learning objectives, diagnostic tests and questions in each chapter and a comprehensive glossary Experienced author team with many years experience of teaching chemistry to non-chemists
A practical guide for multivariate statistical techniques– now updated and revised In recent years, innovations in computer technology and statistical methodologies have dramatically altered the landscape of multivariate data analysis. This new edition of Methods for Statistical Data Analysis of Multivariate Observations explores current multivariate concepts and techniques while retaining the same practical focus of its predecessor. It integrates methods and data-based interpretations relevant to multivariate analysis in a way that addresses real-world problems arising in many areas of interest. Greatly revised and updated, this Second Edition provides helpful examples, graphical orientation, numerous illustrations, and an appendix detailing statistical software, including the S (or Splus) and SAS systems. It also offers * An expanded chapter on cluster analysis that covers advances in pattern recognition * New sections on inputs to clustering algorithms and aids for interpreting the results of cluster analysis * An exploration of some new techniques of summarization and exposure * New graphical methods for assessing the separations among the eigenvalues of a correlation matrix and for comparing sets of eigenvectors * Knowledge gained from advances in robust estimation and distributional models that are slightly broader than the multivariate normal This Second Edition is invaluable for graduate students, applied statisticians, engineers, and scientists wishing to use multivariate techniques in a variety of disciplines.
A unique introduction to the innovative methodology of statistical flowgraphs This book offers a practical, application-based approach to flowgraph models for time-to-event data. It clearly shows how this innovative new methodology can be used to analyze data from semi-Markov processes without prior knowledge of stochastic processes–opening the door to interesting applications in survival analysis and reliability as well as stochastic processes. Unlike other books on multistate time-to-event data, this work emphasizes reliability and not just biostatistics, illustrating each method with medical and engineering examples. It demonstrates how flowgraphs bring together applied probability techniques and combine them with data analysis and statistical methods to answer questions of practical interest. Bayesian methods of data analysis are emphasized. Coverage includes: * Clear instructions on how to model multistate time-to-event data using flowgraph models * An emphasis on computation, real data, and Bayesian methods for problem solving * Real-world examples for analyzing data from stochastic processes * The use of flowgraph models to analyze complex stochastic networks * Exercise sets to reinforce the practical approach of this volume Flowgraph Models for Multistate Time-to-Event Data is an invaluable resource/reference for researchers in biostatistics/survival analysis, systems engineering, and in fields that use stochastic processes, including anthropology, biology, psychology, computer science, and engineering.
This indispensable tool provides readers with complete coverage of the issues, methods, and art of valuing and pricing of early-stage technologies including backgrounds in the core concepts, sources of value, methods of valuation, equity realizations, and negotiation strategies.
This well established reference book brings together leading cases on building contracts to illustrate legal principles. It provides a statement of the principle established, a summary of the facts and the decision and, for most cases, a verbatim extract of the judgment. The latest edition includes a number of new cases since the last edition was published in 1999.
Selection bias can, and does, occur, even in randomized clinical trials. Steps need to be taken in order to ensure that this does not compromise the integrity of clinical trials; hence “Selection Bias and Covariate Imbalances in Randomized Clinical Trials” offers a comprehensive treatment of the subject and the methodology involved. This book: Provides an overview of the hierarchy of study designs, and justifies the position of randomised trials at the top of this hierarchy. Discusses the strengths and defects of randomisation, and provides real evidence to justify concern regarding its defects. Outlays the damaging consequences that selection bias causes when it does occur. Considers courses of action that can be taken to manage/ contain the problem. Presents methods that can be used to detect selection bias in randomised trials, and methods to correct for selection bias. Concludes by providing a comprehensive plan for managing baseline imbalances and selection bias in randomised trials, and proposing open problems for future research. Illustrated with case studies, this book introduces groundbreaking ideas and research that will be invaluable to researchers and practitioners who design and analyse clinical trials. It will also be of interest to graduate students within the field of biostatistics.