Geometric Theory of Generalized Functions with Applications to General Relativity

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Publisher : Springer Science & Business Media
ISBN 13 : 9401598452
Total Pages : 517 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Geometric Theory of Generalized Functions with Applications to General Relativity by : M. Grosser

Download or read book Geometric Theory of Generalized Functions with Applications to General Relativity written by M. Grosser and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past few years a certain shift of focus within the theory of algebras of generalized functions (in the sense of J. F. Colombeau) has taken place. Originating in infinite dimensional analysis and initially applied mainly to problems in nonlinear partial differential equations involving singularities, the theory has undergone a change both in in ternal structure and scope of applicability, due to a growing number of applications to questions of a more geometric nature. The present book is intended to provide an in-depth presentation of these develop ments comprising its structural aspects within the theory of generalized functions as well as a (selective but, as we hope, representative) set of applications. This main purpose of the book is accompanied by a number of sub ordinate goals which we were aiming at when arranging the material included here. First, despite the fact that by now several excellent mono graphs on Colombeau algebras are available, we have decided to give a self-contained introduction to the field in Chapter 1. Our motivation for this decision derives from two main features of our approach. On the one hand, in contrast to other treatments of the subject we base our intro duction to the field on the so-called special variant of the algebras, which makes many of the fundamental ideas of the field particularly transpar ent and at the same time facilitates and motivates the introduction of the more involved concepts treated later in the chapter.

Generalized Principal Component Analysis

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Publisher : Springer
ISBN 13 : 0387878114
Total Pages : 590 pages
Book Rating : 4.3/5 (878 download)

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Book Synopsis Generalized Principal Component Analysis by : René Vidal

Download or read book Generalized Principal Component Analysis written by René Vidal and published by Springer. This book was released on 2016-04-11 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to the latest advances in the mathematical theory and computational tools for modeling high-dimensional data drawn from one or multiple low-dimensional subspaces (or manifolds) and potentially corrupted by noise, gross errors, or outliers. This challenging task requires the development of new algebraic, geometric, statistical, and computational methods for efficient and robust estimation and segmentation of one or multiple subspaces. The book also presents interesting real-world applications of these new methods in image processing, image and video segmentation, face recognition and clustering, and hybrid system identification etc. This book is intended to serve as a textbook for graduate students and beginning researchers in data science, machine learning, computer vision, image and signal processing, and systems theory. It contains ample illustrations, examples, and exercises and is made largely self-contained with three Appendices which survey basic concepts and principles from statistics, optimization, and algebraic-geometry used in this book. René Vidal is a Professor of Biomedical Engineering and Director of the Vision Dynamics and Learning Lab at The Johns Hopkins University. Yi Ma is Executive Dean and Professor at the School of Information Science and Technology at ShanghaiTech University. S. Shankar Sastry is Dean of the College of Engineering, Professor of Electrical Engineering and Computer Science and Professor of Bioengineering at the University of California, Berkeley.

Spaces of Fundamental and Generalized Functions

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Publisher : Academic Press
ISBN 13 : 1483262308
Total Pages : 272 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Spaces of Fundamental and Generalized Functions by : I. M. Gel'Fand

Download or read book Spaces of Fundamental and Generalized Functions written by I. M. Gel'Fand and published by Academic Press. This book was released on 2013-09-03 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spaces of Fundamental and Generalized Functions, Volume 2, analyzes the general theory of linear topological spaces. The basis of the theory of generalized functions is the theory of the so-called countably normed spaces (with compatible norms), their unions (inductive limits), and also of the spaces conjugate to the countably normed ones or their unions. This set of spaces is sufficiently broad on the one hand, and sufficiently convenient for the analyst on the other. The book opens with a chapter that discusses the theory of these spaces. This is followed by separate chapters on fundamental and generalized functions, Fourier transformations of fundamental and generalized functions, and spaces of type S.

Generalized Measure Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 0387768521
Total Pages : 392 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Generalized Measure Theory by : Zhenyuan Wang

Download or read book Generalized Measure Theory written by Zhenyuan Wang and published by Springer Science & Business Media. This book was released on 2010-07-07 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Generalized Measure Theory examines the relatively new mathematical area of generalized measure theory. The exposition unfolds systematically, beginning with preliminaries and new concepts, followed by a detailed treatment of important new results regarding various types of nonadditive measures and the associated integration theory. The latter involves several types of integrals: Sugeno integrals, Choquet integrals, pan-integrals, and lower and upper integrals. All of the topics are motivated by numerous examples, culminating in a final chapter on applications of generalized measure theory. Some key features of the book include: many exercises at the end of each chapter along with relevant historical and bibliographical notes, an extensive bibliography, and name and subject indices. The work is suitable for a classroom setting at the graduate level in courses or seminars in applied mathematics, computer science, engineering, and some areas of science. A sound background in mathematical analysis is required. Since the book contains many original results by the authors, it will also appeal to researchers working in the emerging area of generalized measure theory.

Generalized Functions, Volume 2

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Publisher : American Mathematical Soc.
ISBN 13 : 1470426595
Total Pages : 274 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Generalized Functions, Volume 2 by : I. M. Gel'fand

Download or read book Generalized Functions, Volume 2 written by I. M. Gel'fand and published by American Mathematical Soc.. This book was released on 2016-03-30 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first systematic theory of generalized functions (also known as distributions) was created in the early 1950s, although some aspects were developed much earlier, most notably in the definition of the Green's function in mathematics and in the work of Paul Dirac on quantum electrodynamics in physics. The six-volume collection, Generalized Functions, written by I. M. Gel'fand and co-authors and published in Russian between 1958 and 1966, gives an introduction to generalized functions and presents various applications to analysis, PDE, stochastic processes, and representation theory. Volume 2 is devoted to detailed study of generalized functions as linear functionals on appropriate spaces of smooth test functions. In Chapter 1, the authors introduce and study countable-normed linear topological spaces, laying out a general theoretical foundation for the analysis of spaces of generalized functions. The two most important classes of spaces of test functions are spaces of compactly supported functions and Schwartz spaces of rapidly decreasing functions. In Chapters 2 and 3 of the book, the authors transfer many results presented in Volume 1 to generalized functions corresponding to these more general spaces. Finally, Chapter 4 is devoted to the study of the Fourier transform; in particular, it includes appropriate versions of the Paley-Wiener theorem.

Decisions of the Comptroller General of the United States

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Publisher :
ISBN 13 :
Total Pages : 858 pages
Book Rating : 4.3/5 (555 download)

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Book Synopsis Decisions of the Comptroller General of the United States by : United States. General Accounting Office

Download or read book Decisions of the Comptroller General of the United States written by United States. General Accounting Office and published by . This book was released on 1986 with total page 858 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains a selection of major decisions of the GAO. A digest of all decisions has been issued since Oct. 1989 as: United States. General Accounting Office. Digests of decisions of the Comptroller General of the United States. Before Oct. 1989, digests of unpublished decisions were issued with various titles.

Applied Life Data Analysis

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Publisher : John Wiley & Sons
ISBN 13 : 9780471644620
Total Pages : 666 pages
Book Rating : 4.6/5 (446 download)

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Book Synopsis Applied Life Data Analysis by : Wayne B. Nelson

Download or read book Applied Life Data Analysis written by Wayne B. Nelson and published by John Wiley & Sons. This book was released on 2003-12-22 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: WILEY-INTERSCIENCE PAPERBACK SERIES The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists. "Many examples drawn from the author’s experience of engineering applications are used to illustrate the theoretical results, which are presented in a cookbook fashion...it provides an excellent practical guide to the analysis of product-life data." –T.M.M. Farley Special Programme of Research in Human Reproduction World Health Organization Geneva, Switzerland Review in Biometrics, September 1983 Now a classic, Applied Life Data Analysis has been widely used by thousands of engineers and industrial statisticians to obtain information from life data on consumer, industrial, and military products. Organized to serve practitioners, this book starts with basic models and simple informative probability plots of life data. Then it progresses through advanced analytical methods, including maximum likelihood fitting of advanced models to life data. All data analysis methods are illustrated with numerous clients' applications from the author's consulting experience.

Local Zeta Regularization And The Scalar Casimir Effect: A General Approach Based On Integral Kernels

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Publisher : World Scientific
ISBN 13 : 9813225017
Total Pages : 274 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Local Zeta Regularization And The Scalar Casimir Effect: A General Approach Based On Integral Kernels by : Davide Fermi

Download or read book Local Zeta Regularization And The Scalar Casimir Effect: A General Approach Based On Integral Kernels written by Davide Fermi and published by World Scientific. This book was released on 2017-10-06 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Zeta regularization is a method to treat the divergent quantities appearing in several areas of mathematical physics and, in particular, in quantum field theory; it is based on the fascinating idea that a finite value can be ascribed to a formally divergent expression via analytic continuation with respect to a complex regulating parameter.This book provides a thorough overview of zeta regularization for the vacuum expectation values of the most relevant observables of a quantized, neutral scalar field in Minkowski spacetime; the field can be confined to a spatial domain, with suitable boundary conditions, and an external potential is possibly present. Zeta regularization is performed in this framework for both local and global observables, like the stress-energy tensor and the total energy; the analysis of their vacuum expectation values accounts for the Casimir physics of the system. The analytic continuation process required in this setting by zeta regularization is deeply linked to some integral kernels; these are determined by the fundamental elliptic operator appearing in the evolution equation for the quantum field. The book provides a systematic illustration of these connections, devised as a toolbox for explicit computations in specific configurations; many examples are presented. A comprehensive account is given of the existing literature on this subject, including the previous work of the authors.The book will be useful to anyone interested in a mathematically sound description of quantum vacuum effects, from graduate students to scientists working in this area.

Nuclear Science Abstracts

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Publisher :
ISBN 13 :
Total Pages : 1146 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Nuclear Science Abstracts by :

Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1975 with total page 1146 pages. Available in PDF, EPUB and Kindle. Book excerpt:

NCLEX-RN Questions and Answers Made Incredibly Easy

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Publisher : Lippincott Williams & Wilkins
ISBN 13 : 9781582552286
Total Pages : 934 pages
Book Rating : 4.5/5 (522 download)

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Book Synopsis NCLEX-RN Questions and Answers Made Incredibly Easy by : Lippincott Williams & Wilkins

Download or read book NCLEX-RN Questions and Answers Made Incredibly Easy written by Lippincott Williams & Wilkins and published by Lippincott Williams & Wilkins. This book was released on 2003 with total page 934 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of NCLEX-RN Questions & Answers Made Incredibly Easy! is a completely updated NCLEX review book. Over 3,500 questions and answers with rationales are included. The book is divided into six parts: Part 1 provides studying and test-taking strategies for the test itself. Parts 2-6 cover adult care, psychiatric care, maternal-neonatal care, pediatric care, and professional issues. The professional issues section is new to this edition, and includes chapters on management, leadership, and legal and ethical issues. Six comprehensive sample tests with 75 questions each are also included. The book continues the light-hearted approach of the Incredibly Easy! Series™, and familiar cartoon characters from the series provide support for the reader and point out vital information.

Some Generalized Probability Distributions with Special Reference to the Mineral Industries (in Five Parts).

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Publisher :
ISBN 13 :
Total Pages : 632 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Some Generalized Probability Distributions with Special Reference to the Mineral Industries (in Five Parts). by : Robert M. Becker

Download or read book Some Generalized Probability Distributions with Special Reference to the Mineral Industries (in Five Parts). written by Robert M. Becker and published by . This book was released on 1965 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Pseudo-Differential Operators and Generalized Functions

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Publisher : Birkhäuser
ISBN 13 : 3319146181
Total Pages : 288 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Pseudo-Differential Operators and Generalized Functions by : Stevan Pilipović

Download or read book Pseudo-Differential Operators and Generalized Functions written by Stevan Pilipović and published by Birkhäuser. This book was released on 2015-04-27 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers peer-reviewed contributions representing modern trends in the theory of generalized functions and pseudo-differential operators. It is dedicated to Professor Michael Oberguggenberger (Innsbruck University, Austria) in honour of his 60th birthday. The topics covered were suggested by the ISAAC Group in Generalized Functions (GF) and the ISAAC Group in Pseudo-Differential Operators (IGPDO), which met at the 9th ISAAC congress in Krakow, Poland in August 2013. Topics include Columbeau algebras, ultra-distributions, partial differential equations, micro-local analysis, harmonic analysis, global analysis, geometry, quantization, mathematical physics, and time-frequency analysis. Featuring both essays and research articles, the book will be of great interest to graduate students and researchers working in analysis, PDE and mathematical physics, while also offering a valuable complement to the volumes on this topic previously published in the OT series.

Monthly Catalog of United States Government Publications

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Publisher :
ISBN 13 :
Total Pages : 1694 pages
Book Rating : 4.:/5 (891 download)

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Book Synopsis Monthly Catalog of United States Government Publications by :

Download or read book Monthly Catalog of United States Government Publications written by and published by . This book was released on 1974 with total page 1694 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Journal of the Royal College of General Practitioners

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Publisher :
ISBN 13 :
Total Pages : 416 pages
Book Rating : 4.6/5 (153 download)

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Book Synopsis The Journal of the Royal College of General Practitioners by :

Download or read book The Journal of the Royal College of General Practitioners written by and published by . This book was released on 1981 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scientific and Technical Aerospace Reports

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Publisher :
ISBN 13 :
Total Pages : 772 pages
Book Rating : 4.:/5 (3 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1994 with total page 772 pages. Available in PDF, EPUB and Kindle. Book excerpt:

General Systems Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 0306469626
Total Pages : 386 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis General Systems Theory by : Yi Lin

Download or read book General Systems Theory written by Yi Lin and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: As suggested by the title of this book, I will present a collection of coherently related applications and a theoretical development of a general systems theory. Hopefully, this book will invite all readers to sample an exciting and challenging (even fun!) piece of interdisciplinary research, that has characterized the scientific and technological achievements of the twentieth century. And, I hope that many of them will be motivated to do additional reading and to contribute to topics along the lines described in the following pages. Since the applications in this volume range through many scientific disciplines, from sociology to atomic physics, from Einstein’s relativity theory to Dirac’s quan tum mechanics, from optimization theory to unreasonable effectiveness of mathe matics to foundations of mathematical modeling, from general systems theory to Schwartz’s distributions, special care has been given to write each application in a language appropriate to that field. That is, mathematical symbols and abstractions are used at different levels so that readers in various fields will find it possible to read. Also, because of the wide range of applications, each chapter has been written so that, in general, there is no need to reference a different chapter in order to understand a specific application. At the same time, if a reader has the desire to go through the entire book without skipping any chapter, it is strongly suggested to refer back to Chapters 2 and 3 as often as possible.

Psychiatry

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Publisher : John Wiley & Sons
ISBN 13 : 1118845498
Total Pages : 2759 pages
Book Rating : 4.1/5 (188 download)

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Book Synopsis Psychiatry by : Allan Tasman

Download or read book Psychiatry written by Allan Tasman and published by John Wiley & Sons. This book was released on 2015-01-29 with total page 2759 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in a new Fourth Edition, Psychiatry remains the leading reference on all aspects of the current practice and latest developments in psychiatry. From an international team of recognised expert editors and contributors, Psychiatry provides a truly comprehensive overview of the entire field of psychiatry in 132 chapters across two volumes. It includes two new sections, on psychosomatic medicine and collaborative care, and on emergency psychiatry, and compares Diagnostic and Statistical Manual (DSM-5) and International Classification of Diseases (ICD10) classifications for every psychiatric disorder. Psychiatry, Fourth Edition is an essential reference for psychiatrists in clinical practice and clinical research, residents in training, and for all those involved in the treatment psychiatric disorders. Includes a a companion website at www.tasmanpsychiatry.com featuring PDFs of each chapter and downloadable images