Techniques Of Constructive Analysis
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Techniques Of Constructive Analysis
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Author : Douglas S. Bridges
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-04-30
Techniques Of Constructive Analysis written by Douglas S. Bridges and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-30 with Mathematics categories.
This book is an introduction to constructive mathematics with an emphasis on techniques and results obtained in the last twenty years. The text covers fundamental theory of the real line and metric spaces, focusing on locatedness in normed spaces and with associated results about operators and their adjoints on a Hilbert space. The first appendix gathers together some basic notions about sets and orders, the second gives the axioms for intuitionistic logic. No background in intuitionistic logic or constructive analysis is needed in order to read the book, but some familiarity with the classical theories of metric, normed and Hilbert spaces is necessary.
Foundations Of Constructive Analysis
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Author : Errett Bishop
language : en
Publisher: Ishi Press
Release Date : 2012-07
Foundations Of Constructive Analysis written by Errett Bishop and has been published by Ishi Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07 with Mathematics categories.
This book, Foundations of Constructive Analysis, founded the field of constructive analysis because it proved most of the important theorems in real analysis by constructive methods. The author, Errett Albert Bishop, born July 10, 1928, was an American mathematician known for his work on analysis. In the later part of his life Bishop was seen as the leading mathematician in the area of Constructive mathematics. From 1965 until his death, he was professor at the University of California at San Diego.
Beyond Traditional Probabilistic Data Processing Techniques Interval Fuzzy Etc Methods And Their Applications
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Author : Olga Kosheleva
language : en
Publisher: Springer Nature
Release Date : 2020-02-28
Beyond Traditional Probabilistic Data Processing Techniques Interval Fuzzy Etc Methods And Their Applications written by Olga Kosheleva and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-28 with Computers categories.
Data processing has become essential to modern civilization. The original data for this processing comes from measurements or from experts, and both sources are subject to uncertainty. Traditionally, probabilistic methods have been used to process uncertainty. However, in many practical situations, we do not know the corresponding probabilities: in measurements, we often only know the upper bound on the measurement errors; this is known as interval uncertainty. In turn, expert estimates often include imprecise (fuzzy) words from natural language such as "small"; this is known as fuzzy uncertainty. In this book, leading specialists on interval, fuzzy, probabilistic uncertainty and their combination describe state-of-the-art developments in their research areas. Accordingly, the book offers a valuable guide for researchers and practitioners interested in data processing under uncertainty, and an introduction to the latest trends and techniques in this area, suitable for graduate students.
Regression Analysis
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Author : Richard A. Berk
language : en
Publisher: SAGE Publications
Release Date : 2003-07-17
Regression Analysis written by Richard A. Berk and has been published by SAGE Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-17 with Social Science categories.
Berk has incisively identified the various strains of regression abuse and suggests practical steps for researchers who desire to do good social science while avoiding such errors." --Peter H. Rossi, University of Massachusetts, Amherst "I have been waiting for a book like this for some time. Practitioners, especially those doing applied work, will have much to gain from Berk′s volume, regardless of their level of statistical sophistication. Graduate students in sociology, education, public policy, and any number of similar fields should also use it. It will also be a useful foil for conventional texts for the teaching of the regression model. I plan to use it for my students as a text, and hope others will do the same." --Herbert Smith, Professor of Demography & Sociology, University of Pennsylvania Regression is often applied to questions for which it is ill equipped to answer. As a formal matter, conventional regression analysis does nothing more than produce from a data set a collection of conditional means and conditional variances. The problem, though, is that researchers typically want more: they want tests, confidence intervals and the ability to make causal claims. However, these capabilities require information external to that data themselves, and too often that information makes implausible demands on how nature is supposed to function. Convenience samples are treated as if they are random samples. Causal status is given to predictors that cannot be manipulated. Disturbance terms are assumed to behave not as nature might produce them, but as required by the model. Regression Analysis: A Constructive Critique identifies a wide variety of problems with regression analysis as it is commonly used and then provides a number of ways in which practice could be improved. Regression is most useful for data reduction, leading to relatively simple but rich and precise descriptions of patterns in a data set. The emphasis on description provides readers with an insightful rethinking from the ground up of what regression analysis can do, so that readers can better match regression analysis with useful empirical questions and improved policy-related research. "An interesting and lively text, rich in practical wisdom, written for people who do empirical work in the social sciences and their graduate students." --David A. Freedman, Professor of Statistics, University of California, Berkeley
Constructive Analysis
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Author : E. Bishop
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Constructive Analysis written by E. Bishop and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This work grew out of Errett Bishop's fundamental treatise 'Founda tions of Constructive Analysis' (FCA), which appeared in 1967 and which contained the bountiful harvest of a remarkably short period of research by its author. Truly, FCA was an exceptional book, not only because of the quantity of original material it contained, but also as a demonstration of the practicability of a program which most ma thematicians believed impossible to carry out. Errett's book went out of print shortly after its publication, and no second edition was produced by its publishers. Some years later, 'by a set of curious chances', it was agreed that a new edition of FCA would be published by Springer Verlag, the revision being carried out by me under Errett's supervision; at the same time, Errett gener ously insisted that I become a joint author. The revision turned out to be much more substantial than we had anticipated, and took longer than we would have wished. Indeed, tragically, Errett died before the work was completed. The present book is the result of our efforts. Although substantially based on FCA, it contains so much new material, and such full revision and expansion of the old, that it is essentially a new book. For this reason, and also to preserve the integrity of the original, I decided to give our joint work a title of its own. Most of the new material outside Chapter 5 originated with Errett.
Constructive Real Analysis
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Author : Allen A. Goldstein
language : en
Publisher: Courier Corporation
Release Date : 2012-01-01
Constructive Real Analysis written by Allen A. Goldstein and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-01 with Mathematics categories.
This text introduces students of mathematics, science, and technology to the methods of applied functional analysis and applied convexity. The three-part treatment consists of roots and extremal problems, constraints, and infinite dimensional problems. Topics include iterations and fixed points, metric spaces, nonlinear programming, polyhedral convex programming, linear spaces and convex sets, and applications to integral equations. 1967 edition.
Handbook Of Computability And Complexity In Analysis
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Author : Vasco Brattka
language : en
Publisher: Springer Nature
Release Date : 2021-06-04
Handbook Of Computability And Complexity In Analysis written by Vasco Brattka and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-04 with Computers categories.
Computable analysis is the modern theory of computability and complexity in analysis that arose out of Turing's seminal work in the 1930s. This was motivated by questions such as: which real numbers and real number functions are computable, and which mathematical tasks in analysis can be solved by algorithmic means? Nowadays this theory has many different facets that embrace topics from computability theory, algorithmic randomness, computational complexity, dynamical systems, fractals, and analog computers, up to logic, descriptive set theory, constructivism, and reverse mathematics. In recent decades computable analysis has invaded many branches of analysis, and researchers have studied computability and complexity questions arising from real and complex analysis, functional analysis, and the theory of differential equations, up to (geometric) measure theory and topology. This handbook represents the first coherent cross-section through most active research topics on the more theoretical side of the field. It contains 11 chapters grouped into parts on computability in analysis; complexity, dynamics, and randomness; and constructivity, logic, and descriptive complexity. All chapters are written by leading experts working at the cutting edge of the respective topic. Researchers and graduate students in the areas of theoretical computer science and mathematical logic will find systematic introductions into many branches of computable analysis, and a wealth of information and references that will help them to navigate the modern research literature in this field.
Applications And Techniques For Experimental Stress Analysis
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Author : Karuppasamy, Karthik Selva Kumar
language : en
Publisher: IGI Global
Release Date : 2019-12-27
Applications And Techniques For Experimental Stress Analysis written by Karuppasamy, Karthik Selva Kumar and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-27 with Technology & Engineering categories.
The design of mechanical components for various engineering applications requires the understanding of stress distribution in the materials. The need of determining the nature of stress distribution on the components can be achieved with experimental techniques. Applications and Techniques for Experimental Stress Analysis is a timely research publication that examines how experimental stress analysis supports the development and validation of analytical and numerical models, the progress of phenomenological concepts, the measurement and control of system parameters under working conditions, and identification of sources of failure or malfunction. Highlighting a range of topics such as deformation, strain measurement, and element analysis, this book is essential for mechanical engineers, civil engineers, designers, aerospace engineers, researchers, industry professionals, academicians, and students.
E Health Care Information Systems
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Author : Joseph Tan
language : en
Publisher: John Wiley & Sons
Release Date : 2005-04-29
E Health Care Information Systems written by Joseph Tan and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-04-29 with Medical categories.
E-Health Care Information Systems is a comprehensive collection written by leading experts from a range of disciplines including medicine, health sciences, engineering, business information systems, general science, and computing technology. This easily followed text provides a theoretical framework with sound methodological approaches and is filled with numerous case examples. Topics include e-health records, e-public information systems, e-network and surveys, general and specific applications of e-health such as e-rehabilitation, e-medicine, e-homecare, e-diagnosis support systems, and e-health intelligence. E-Health Care Information Systems also covers strategies in e-health care technology management, e-security issues, and the impacts of e-technologies. In addition, this book reviews new and emerging technologies such as mobile health, virtual reality and nanotechnology, and harnessing the power of e-technologies for real-world applications.
Structured Analytic Techniques For Intelligence Analysis
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Author : Randolph H. Pherson
language : en
Publisher: CQ Press
Release Date : 2019-12-05
Structured Analytic Techniques For Intelligence Analysis written by Randolph H. Pherson and has been published by CQ Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-05 with Political Science categories.
"Excellent publication for the study of intelligence analysis, structured analytical techniques and their application in this increasingly dangerous environment. A must read for anyone entering the intelligence community as an analyst, practitioner, stakeholder and leader." —Charles E. Wilson, University of Detroit Mercy The Third Edition of Structured Analytic Techniques for Intelligence Analysis showcases sixty-six structured analytic techniques—nine new to this edition—that represent the most current best practices in intelligence, law enforcement, homeland security, and business analysis. With more depth, detail, and utility than existing handbooks, each technique is clearly and systematically explained. Logically organized and richly illustrated, and with spiral binding and tabs that separate techniques into categories, this book is an easy-to-use, comprehensive reference.