Probability And Theory Of Errors Classic Reprint
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Probability And Theory Of Errors
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Author : Robert S. Woodward
language : en
Publisher: CreateSpace
Release Date : 2014-02-09
Probability And Theory Of Errors written by Robert S. Woodward and has been published by CreateSpace this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-09 with Mathematics categories.
AUTHOR'S PREFACE. IN republishing this short treatise in book form the author solicits criticism but offers no apology. The type of the book he has sought to imitate is that shown in the "mathematical tracts" of the late Sir George B. Airy. The brevity and the concrete illustrations of these "tracts" have served very effectively in introducing students to a number of the more difficult fields of applied mathematics; and it is hoped that this treatise will serve a similar end. The theory of probability and the theory of errors now constitute a formidable body of knowledge of great mathematical interest and of great practical importance. Though developed largely through applications to the more precise sciences of astronomy, geodesy, and physics, their range of applicability extends to all of the sciences; and they are plainly destined to play an increasingly important role in the development and in the applications of the sciences of the future. Hence their study is not only a commendable element in a liberal education, but some knowledge of them is essential to a correct understanding of daily events. No special novelty of presentation is claimed for this work; but the reader may find it advantageous to know that a definite plan has been followed. This plan consists in presenting each principle, first, by means of a simple, concrete example; passing, secondly, to a general statement by means of a formula; and, thirdly, illustrating applications of the formula by concrete examples. Great pains have been taken also to secure clear and correct statements of fundamental facts. If these latter are duly understood, the student needs little additional aid; if they are not duly understood, no amount of aid will forward him. The passage from the elementary concrete to the advanced abstract may appear to be abrupt to the reader in some cases. It is hoped, however, that any large gaps may be easily bridged and that any serious difficulties may be easily overcome by means of the references given to the literature of the subject. In any «vent the student will find that in this, as in all of the more arduous sciences, his greatest pleasure and his highest discipline will come from bridging such gaps and from surmounting such difficulties.
Probability And Theory Of Errors Classic Reprint
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Author : Robert S. Woodward
language : en
Publisher: Forgotten Books
Release Date : 2016-08-16
Probability And Theory Of Errors Classic Reprint written by Robert S. Woodward and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-16 with Mathematics categories.
Excerpt from Probability and Theory of Errors The volume called Higher Mathematics, the first edition of which was published in 1896, contained eleven chapters by eleven authors, each chapter being independent of the others, but all supposing the reader to have at least a mathematical training equivalent to that given in classical and engineering colleges. The publication of that volume is now discontinued and the chapters are issued in separate form. In these reissues. It will generally be found that the monographs are enlarged by additional articles or appendices which either amplify the former presentation or record recent advances. This plan Of publication has been arranged in order to meet the demand of teachers and the convenience of classes, but it is also thought that it may prove advantageous to readers in special lines of mathematical literature. It is the intention of the publishers and editors to add other monographs to the series from time to time, if the call for the same seems to warrant it. Among the topics which are under consideration are those of elliptic functions, the theory of num bers, the group theory, the calculus of variations, and non Euclidean geometry; possibly also monographs on branches of astronomy, mechanics, and mathematical physics may be included. It is the hope of the editors that this form of publication may tend to promote mathematical study and research over a wider field than that which the former volume has occupied. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Quantum Error Correction
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Author : Daniel A. Lidar
language : en
Publisher: Cambridge University Press
Release Date : 2013-09-12
Quantum Error Correction written by Daniel A. Lidar and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-12 with Science categories.
Quantum computation and information is one of the most exciting developments in science and technology of the last twenty years. To achieve large scale quantum computers and communication networks it is essential not only to overcome noise in stored quantum information, but also in general faulty quantum operations. Scalable quantum computers require a far-reaching theory of fault-tolerant quantum computation. This comprehensive text, written by leading experts in the field, focuses on quantum error correction and thoroughly covers the theory as well as experimental and practical issues. The book is not limited to a single approach, but reviews many different methods to control quantum errors, including topological codes, dynamical decoupling and decoherence-free subspaces. Basic subjects as well as advanced theory and a survey of topics from cutting-edge research make this book invaluable both as a pedagogical introduction at the graduate level and as a reference for experts in quantum information science.
Error And The Growth Of Experimental Knowledge
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Author : Deborah G. Mayo
language : en
Publisher: University of Chicago Press
Release Date : 1996-07-17
Error And The Growth Of Experimental Knowledge written by Deborah G. Mayo and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-07-17 with Science categories.
We may learn from our mistakes, but Deborah Mayo argues that, where experimental knowledge is concerned, we haven't begun to learn enough. Error and the Growth of Experimental Knowledge launches a vigorous critique of the subjective Bayesian view of statistical inference, and proposes Mayo's own error-statistical approach as a more robust framework for the epistemology of experiment. Mayo genuinely addresses the needs of researchers who work with statistical analysis, and simultaneously engages the basic philosophical problems of objectivity and rationality. Mayo has long argued for an account of learning from error that goes far beyond detecting logical inconsistencies. In this book, she presents her complete program for how we learn about the world by being "shrewd inquisitors of error, white gloves off." Her tough, practical approach will be important to philosophers, historians, and sociologists of science, and will be welcomed by researchers in the physical, biological, and social sciences whose work depends upon statistical analysis.
Error And Inference
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Author : Deborah G. Mayo
language : en
Publisher: Cambridge University Press
Release Date : 2011
Error And Inference written by Deborah G. Mayo and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Business & Economics categories.
Explores the nature of error and inference, drawing on exchanges on experimental reasoning, reliability, and the objectivity of science.
Publications Of The National Institute Of Standards And Technology Catalog
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Author : National Institute of Standards and Technology (U.S.)
language : en
Publisher:
Release Date : 1994
Publications Of The National Institute Of Standards And Technology Catalog written by National Institute of Standards and Technology (U.S.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.
Higher Mathematics
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Author : Mansfield Merriman
language : en
Publisher:
Release Date : 1898
Higher Mathematics written by Mansfield Merriman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1898 with Error analysis (Mathematics) categories.
Probability And Statistics Volume I
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Author : Reinhard Viertl
language : en
Publisher: EOLSS Publications
Release Date : 2009-06-11
Probability And Statistics Volume I written by Reinhard Viertl and has been published by EOLSS Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-11 with categories.
Probability and Statistics theme is a component of Encyclopedia of Mathematical Sciences in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The Theme with contributions from distinguished experts in the field, discusses Probability and Statistics. Probability is a standard mathematical concept to describe stochastic uncertainty. Probability and Statistics can be considered as the two sides of a coin. They consist of methods for modeling uncertainty and measuring real phenomena. Today many important political, health, and economic decisions are based on statistics. This theme is structured in five main topics: Probability and Statistics; Probability Theory; Stochastic Processes and Random Fields; Probabilistic Models and Methods; Foundations of Statistics, which are then expanded into multiple subtopics, each as a chapter. These three volumes are aimed at the following five major target audiences: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs
An Introduction To Statistical Communication Theory
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Author : David Middleton
language : en
Publisher: Wiley-IEEE Press
Release Date : 1996-05-08
An Introduction To Statistical Communication Theory written by David Middleton and has been published by Wiley-IEEE Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-05-08 with Mathematics categories.
This IEEE Classic Reissue provides at an advanced level, a uniquely fundamental exposition of the applications of Statistical Communication Theory to a vast spectrum of important physical problems. Included are general analysis of signal detection, estimation, measurement, and related topics involving information transfer. Using the statistical Bayesian viewpoint, renowned author David Middleton employs statistical decision theory specifically tailored for the general tasks of signal processing. Dr. Middleton also provides a special focus on physical modeling of the canonical channel with real-world examples relating to radar, sonar, and general telecommunications. This book offers a detailed treatment and an array of problems and results spanning an exceptionally broad range of technical subjects in the communications field. Complete with special functions, integrals, solutions of integral equations, and an extensive, updated bibliography by chapter, An Introduction to Statistical Communication Theory is a seminal reference, particularly for anyone working in the field of communications, as well as in other areas of statistical physics. (Originally published in 1960.)
The Quality Of Measurements
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Author : A.E. Fridman
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-11-23
The Quality Of Measurements written by A.E. Fridman 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 2011-11-23 with Technology & Engineering categories.
This monograph and translation from the Russian describes in detail and comments on the fundamentals of metrology. The basic concepts of metrology, the principles of the International System of Units SI, the theory of measurement uncertainty, the new methodology of estimation of measurement accuracy on the basis of the uncertainty concept, as well as the methods for processing measurement results and estimating their uncertainty are discussed from the modern position. It is shown that the uncertainty concept is compatible with the classical theory of accuracy. The theory of random uncertainties is supplemented with their most general description on the basis of generalized normal distribution; the instrumental systematic errors are presented in connection with the methodology of normalization of the metrological characteristics of measuring instruments. The information about modern systems of traceability is given. All discussed theoretical principles and calculation methods are illustrated with examples.