This book is intended as an undergraduate text introducing matrix methods as they relate to engineering problems. It begins with the fundamentals of mathematics of matrices and determinants. Matrix inversion is discussed, with an introduction of the well known reduction methods. Equation sets are viewed as vector transformations, and the conditions of their solvability are explored. Orthogonal matrices are introduced with examples showing application to many problems requiring three dimensional thinking. The angular velocity matrix is shown to emerge from the differentiation of the 3-D orthogonal matrix, leading to the discussion of particle and rigid body dynamics. The book continues with the eigenvalue problem and its application to multi-variable vibrations. Because the eigenvalue problem requires some operations with polynomials, a separate discussion of these is given in an appendix. The example of the vibrating string is given with a comparison of the matrix analysis to the continuous solution. Table of Contents: Matrix Fundamentals / Determinants / Matrix Inversion / Linear Simultaneous Equation Sets / Orthogonal Transforms / Matrix Eigenvalue Analysis / Matrix Analysis of Vibrating Systems
The four short years since Digital Communication over Fading Channels became an instant classic have seen a virtual explosion of significant new work on the subject, both by the authors and by numerous researchers around the world. Foremost among these is a great deal of progress in the area of transmit diversity and space-time coding and the associated multiple input-multiple output (MIMO) channel. This new edition gathers these and other results, previously scattered throughout numerous publications, into a single convenient and informative volume. Like its predecessor, this Second Edition discusses in detail coherent and noncoherent communication systems as well as a large variety of fading channel models typical of communication links found in the real world. Coverage includes single- and multichannel reception and, in the case of the latter, a large variety of diversity types. The moment generating function (MGF)-based approach for performance analysis, introduced by the authors in the first edition and referred to in literally hundreds of publications, still represents the backbone of the book's presentation. Important features of this new edition include: * An all-new, comprehensive chapter on transmit diversity, space-time coding, and the MIMO channel, focusing on performance evaluation * Coverage of new and improved diversity schemes * Performance analyses of previously known schemes in new and different fading scenarios * A new chapter on the outage probability of cellular mobile radio systems * A new chapter on the capacity of fading channels * And much more Digital Communication over Fading Channels, Second Edition is an indispensable resource for graduate students, researchers investigating these systems, and practicing engineers responsible for evaluating their performance.
Introductory text examines classical quantum bead on a track: state and representations; operator eigenvalues; harmonic oscillator and bound bead in a symmetric force field; bead in spherical shell. 1992 edition.
Haitian Creole (HC) is spoken by approximately 11,000,000 persons in Haiti and in diaspora communities in the United States and throughout the Caribbean. Thus, it is of great utility to Anglophone professionals engaged in various activities—medical, social, educational, welfare— in these regions. As the most widely spoken and best described creole language, a knowledge of its vocabulary is of interest and utility to scholars in a variety of disciplines. The English-Haitian Creole Bilingual Dictionary (EHCBD) aims to assist anglophone users in constructing written and oral discourse in HC; it also will aid HC speakers to translate from English to their language. As the most elaborate and extensive linguistic tool available, it contains about 30 000 individual entries, many of which have multiple senses and include subentries, multiword phrases or idioms. The distinguishing feature of the EHCBD is the inclusion of translated sentence-length illustrative examples that provide important information on usage.
Provides an easy-to-understand guide to statistical linear models and its uses in data analysis This book defines a broad spectrum of statistical linear models that is useful in the analysis of data. Considerable rewriting was done to make the book more reader friendly than the first edition. Linear Models, Second Edition is written in such a way as to be self-contained for a person with a background in basic statistics, calculus and linear algebra. The text includes numerous applied illustrations, numerical examples, and exercises, now augmented with computer outputs in SAS and R. Also new to this edition is: • A greatly improved internal design and format • A short introductory chapter to ease understanding of the order in which topics are taken up • Discussion of additional topics including multiple comparisons and shrinkage estimators • Enhanced discussions of generalized inverses, the MINQUE, Bayes and Maximum Likelihood estimators for estimating variance components Furthermore, in this edition, the second author adds many pedagogical elements throughout the book. These include numbered examples, end-of-example and end-of-proof symbols, selected hints and solutions to exercises available on the book’s website, and references to “big data” in everyday life. Featuring a thorough update, Linear Models, Second Edition includes: • A new internal format, additional instructional pedagogy, selected hints and solutions to exercises, and several more real-life applications • Many examples using SAS and R with timely data sets • Over 400 examples and exercises throughout the book to reinforce understanding Linear Models, Second Edition is a textbook and a reference for upper-level undergraduate and beginning graduate-level courses on linear models, statisticians, engineers, and scientists who use multiple regression or analysis of variance in their work. SHAYLE R. SEARLE, PhD, was Professor Emeritus of Biometry at Cornell University. He was the author of the first edition of Linear Models, Linear Models for Unbalanced Data, and Generalized, Linear, and Mixed Models (with Charles E. McCulloch), all from Wiley. The first edition of Linear Models appears in the Wiley Classics Library. MARVIN H. J. GRUBER, PhD, is Professor Emeritus at Rochester Institute of Technology, School of Mathematical Sciences. Dr. Gruber has written a number of papers and has given numerous presentations at professional meetings during his tenure as a professor at RIT. His fields of interest include regression estimators and the improvement of their efficiency using shrinkage estimators. He has written and published two books on this topic. Another of his books, Matrix Algebra for Linear Models, also published by Wiley, provides good preparation for studying Linear Models. He is a member of the American Mathematical Society, the Institute of Mathematical Statistics and the American Statistical Association.
Offers a treatment of different kinds of James-Stein and ridge regression estimators from a frequentist and Bayesian point of view. The book explains and compares estimators analytically as well as numerically and includes Mathematica and Maple programs used in numerical comparison.;College or university bookshops may order five or more copies at a special student rate, available on request.
This volume in the Discoveries in the Judaean Desert series is composed of two sections. The first is Aramaic papyri from Wadi Daliyeh written in Official Aramaic. The second contains Miscellanea, part 2, from Cave 4 at Qumran.
We began planning and writing this book in the late 1970s at the suggestion of Manuel Cardona and Helmut Lotsch. We also received considerable en couragement and stimulation from colleagues. Some said there was a need for instructional material in this area while others emphasized the utility of a research text. We tried to strike a compromise. The figures, tables, and references are included to enable researchers to obtain quickly essential information in this area of semiconductor research. For instructors and stu dents, we attempt to cover some basic ideas about electronic structure and semiconductor physics with applications to real, rather than model, solids. We wish to thank our colleagues and collaborators whose research re sults and ideas are presented here. Special thanks are due to Jim Phillips who influenced us both during our formative years and afterwards. We are grateful to Sari Yamagishi for her patience and skill with the typing and production of the manuscript. Finally, we acknowledge the great patience of Helmut Lotsch and Manuel Cardona. Berkeley, CA M.L. Cohen Minneapolis, MN, J.R. Chelikowsky March 1988 VII Contents 1. Introduction............................................... 1 2. Theoretical Concepts and Methods ..................... 4 2.1 The One-Electron Model and Band Structure............ 7 2.2 Properties of En(k) ...................................... 11 3. Pseudopotentials. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 . . . . . . . . . . . . 3.1 The Empirical Pseudopotential Method.................. 20 3.2 Self-Consistent and Ab Initio Pseudopotentials ........... 25 4. Response Functions and Density of States .............. 30 4.1 Charge Density and Bonding ................... . . . . . . . . . 38 .
This handbook, now available in paperback, brings together a comprehensive collection of mathematical material in one location. It also offers a variety of new results interpreted in a form that is particularly useful to engineers, scientists, and applied mathematicians. The handbook is not specific to fixed research areas, but rather it has a generic flavor that can be applied by anyone working with probabilistic and stochastic analysis and modeling. Classic results are presented in their final form without derivation or discussion, allowing for much material to be condensed into one volume.
This textbook introduces graduate students in education and policy research to data and statistical methods in state-level higher education policy analysis. It also serves as a methodological guide to students, practitioners, and researchers who want a clear approach to conducting higher education policy analysis that involves the use of institutional- and state-level secondary data and quantitative methods ranging from descriptive to advanced statistical techniques. This book is unique in that it introduces readers to various types of data sources and quantitative methods utilized in policy research and in that it demonstrates how results of statistical analyses should be presented to higher education policy makers. It helps to bridge the gap between researchers, policy makers, and practitioners both within education policy and between other fields. Coverage includes identifying pertinent data sources, the creation and management of customized data sets, teaching beginning and advanced statistical methods and analyses, and the presentation of analyses for different audiences (including higher education policy makers).
A self-contained introduction to matrix analysis theory and applications in the field of statistics Comprehensive in scope, Matrix Algebra for Linear Models offers a succinct summary of matrix theory and its related applications to statistics, especially linear models. The book provides a unified presentation of the mathematical properties and statistical applications of matrices in order to define and manipulate data. Written for theoretical and applied statisticians, the book utilizes multiple numerical examples to illustrate key ideas, methods, and techniques crucial to understanding matrix algebra’s application in linear models. Matrix Algebra for Linear Models expertly balances concepts and methods allowing for a side-by-side presentation of matrix theory and its linear model applications. Including concise summaries on each topic, the book also features: Methods of deriving results from the properties of eigenvalues and the singular value decomposition Solutions to matrix optimization problems for obtaining more efficient biased estimators for parameters in linear regression models A section on the generalized singular value decomposition Multiple chapter exercises with selected answers to enhance understanding of the presented material Matrix Algebra for Linear Models is an ideal textbook for advanced undergraduate and graduate-level courses on statistics, matrices, and linear algebra. The book is also an excellent reference for statisticians, engineers, economists, and readers interested in the linear statistical model.
Concise, masterly survey of a substantial part of modern matrix theory introduces broad range of ideas involving both matrix theory and matrix inequalities. Also, convexity and matrices, localization of characteristic roots, proofs of classical theorems and results in contemporary research literature, more. Undergraduate-level. 1969 edition. Bibliography.
This classic graduate- and research-level text by two leading experts in the field of telecommunications offers theoretical and practical coverage of telecommunication systems design and planning applications, and analyzes problems encountered in tracking, command, telemetry and data acquisition. A comprehensive set of problems demonstrates the application of the theory developed. 268 illustrations. Index.
Learn the benefits—and hazards—of certain dietary supplements The term “dietary supplement” can include vitamins, minerals, herbal, and botanical products. Consumers freely use supplements for the promoted claims of benefits, but often without consideration of the potential risks. The Consumer's Guide to Dietary Supplements and Alternative Medicines is a critical, balanced look at the different classes of supplement products and whether many claims of benefits are true or simply product hype. Respected supplement authority Dr. W. Marvin Davis exposes what is truth, what is fiction, and what is not known for many supplements you may be taking. If you take dietary supplements—or even think about taking them—this book clears the mystery behind the product claims. The term “dietary supplement” can include vitamins, minerals, herbal, and botanical products. Consumers freely use supplements for the promoted claims of benefits, but often without consideration of the potential risks. The Consumer's Guide to Dietary Supplements and Alternative Medicines is a critical, balanced look at the different classes of supplement products and whether many claims of benefits are true or simply product hype. This book, by respected supplement authority Dr. W. Marvin Davis, exposes what is truth, what is fiction, and what is not known for many supplements you may be taking. If you take dietary supplements—or even think about taking them—this book clears the mystery behind the product claims. The Consumer's Guide to Dietary Supplements and Alternative Medicines brings you the benefit of Dr. Davis's extensive knowledge about physicians, the pharmaceutical industry, and research in pharmacology and toxicology in order to shatter misconceptions about supplements and the supplement industry. The book's no-nonsense discussion about this much-hyped industry is even-handed and straightforward, and provides clear-headed advice every consumer of supplements needs. The guide explores various supplements' interactions with prescription drugs, the placebo effect as a factor for beneficial claims, historical instances of supplements that have proved hazardous to consumers, and receiving directions for supplement use from an unconventional medical/healthcare practitioner. It clearly explains the potentials of supplements through the use of illustrative clinical case studies from medical literature in simplified, easy to understand language. This extensive source is comprehensively referenced and includes tables of supplements with their possible benefits and hazards. The Consumer's Guide to Dietary Supplements and Alternative Medicines exposes the truth about: therapeutic fundamentals of supplements why there is strong resistance to supplements as unconventional remedies by physicians the pharmaceutical industry’s perspective on supplements six major myths about dietary supplements liver “support” remedies soy formulations cancer “cures” the “fountain of youth” actions of hormonal and antioxidant products vitamins, minerals, amino acids, and enzymes new biochemicals—such as alpha-lipoic acid and choline derivatives carotenoids, anthocyanins, and flavonoids aloe vera the unappreciated pharmacology of ascorbate historical instances in which consumers have avoided catastrophe the future of the supplement field much, much more! The Consumer's Guide to Dietary Supplements and Alternative Medicines may be the best available resource of important information for every concerned, health-conscious consumer considering dietary supplements of any kind.
Sex and the Internet is the first ever professional book on the fascinating and revolutionary area of internet sexuality. With many disturbing questions raised by sex and the internet, here is a clinician's guide that addresses these concerns by both informing and providing practical and concrete suggestions and directions. Contributions by an international compilation of experts in the field of sexuality keeps on course with pertinent and relevant material.
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