Measurement Uncertainties In Science And Technology
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Measurement Uncertainties In Science And Technology
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Author : Michael Grabe
language : en
Publisher: Springer
Release Date : 2014-05-14
Measurement Uncertainties In Science And Technology written by Michael Grabe and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with Technology & Engineering categories.
This book recasts the classical Gaussian error calculus from scratch, the inducements concerning both random and unknown systematic errors. The idea of this book is to create a formalism being fit to localize the true values of physical quantities considered – true with respect to the set of predefined physical units. Remarkably enough, the prevailingly practiced forms of error calculus do not feature this property which however proves in every respect, to be physically indispensable. The amended formalism, termed Generalized Gaussian Error Calculus by the author, treats unknown systematic errors as biases and brings random errors to bear via enhanced confidence intervals as laid down by Student. The significantly extended second edition thoroughly restructures and systematizes the text as a whole and illustrates the formalism by numerous numerical examples. They demonstrate the basic principles of how to understand uncertainties to localize the true values of measured values - a perspective decisive in view of the contested physical explorations.
Evaluating The Measurement Uncertainty
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Author : I Lira
language : en
Publisher: CRC Press
Release Date : 2002-04-09
Evaluating The Measurement Uncertainty written by I Lira and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-04-09 with Science categories.
It is now widely recognized that measurement data should be properly analyzed to include an assessment of their associated uncertainty. Since this parameter allows for a meaningful comparison of the measurement results and for an evaluation of their reliability, its expression is important not only in the specialized field of scientific metrology, but also in industry, trade, and commerce. General rules for evaluating and expressing the uncertainty are given in the internationally accepted ISO Guide to the Expression of Uncertainty in Measurement, generally known as the GUM. Evaluating the Measurement Uncertainty details the theoretical framework on which the GUM is based and provides additional material on more advanced topics such as least-squares adjustment and Bayesian statistics. The book does not require previous knowledge other than elementary calculus and can be read as a complement to the GUM or as a stand-alone reference source. It stresses fundamental principles and illustrates their applications through numerous examples taken from many different fields of metrology. The book includes practical guidance as well as theoretical aspects, resulting in an invaluable resource for metrologists, engineers, physicists, and graduate students involved with measurements in academia and industry.
Measurement Uncertainty And Lasers
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Author : Masatoshi Kajita
language : en
Publisher: Institute of Physics Publishing
Release Date : 2019-05-21
Measurement Uncertainty And Lasers written by Masatoshi Kajita and has been published by Institute of Physics Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-21 with Technology & Engineering categories.
Measurement of values is fundamental in science and technology. Measurement, Uncertainty and Lasers examines the importance of uncertainty, accuracy and precision of measurement, and explains how laser technology has helped improve measurement and redefine standards. This book discusses SI units, standards and the importance of using lasers for measurement in modern metrology, including the redefinition of SI units over time.
Measurement Errors And Uncertainties
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Author : Semyon G. Rabinovich
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-12-26
Measurement Errors And Uncertainties written by Semyon G. Rabinovich 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 2006-12-26 with Technology & Engineering categories.
A practical reference on theory and methods of estimating measurement errors and uncertainty for both scientists and engineers in industry and experimental research. Building on the fundamentals of measurement theory, this book offers a wealth of practial recommendations and procedures. It differs from the majority of books in that it balances coverage of probabilistic methods with detailed information on the characterization, calibration, standardization and limitations of measuring instruments, with specific examples from both electrical and mechanical systems. In addition to a general updating to reflect current research, new material in this edition includes increased coverage of indirect measurements, with a new, simpler, more efficient method for this class of measurements.
Uncertainty Calibration And Probability
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Author : C.F Dietrich
language : en
Publisher: CRC Press
Release Date : 1991-01-01
Uncertainty Calibration And Probability written by C.F Dietrich and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-01-01 with Science categories.
All measurements are subject to error because no quantity can be known exactly; hence, any measurement has a probability of lying within a certain range. The more precise the measurement, the smaller the range of uncertainty. Uncertainty, Calibration and Probability is a comprehensive treatment of the statistics and methods of estimating these calibration uncertainties. The book features the general theory of uncertainty involving the combination (convolution) of non-Gaussian, student t, and Gaussian distributions; the use of rectangular distributions to represent systematic uncertainties; and measurable and nonmeasurable uncertainties that require estimation. The author also discusses sources of measurement errors and curve fitting with numerous examples of uncertainty case studies. Many useful tables and computational formulae are included as well. All formulations are discussed and demonstrated with the minimum of mathematical knowledge assumed. This second edition offers additional examples in each chapter, and detailed additions and alterations made to the text. New chapters consist of the general theory of uncertainty and applications to industry and a new section discusses the use of orthogonal polynomials in curve fitting. Focusing on practical problems of measurement, Uncertainty, Calibration and Probability is an invaluable reference tool for R&D laboratories in the engineering/manufacturing industries and for undergraduate and graduate students in physics, engineering, and metrology.
An Introduction To Uncertainty In Measurement
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Author : L. Kirkup
language : en
Publisher: Cambridge University Press
Release Date : 2006-06-01
An Introduction To Uncertainty In Measurement written by L. Kirkup 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 2006-06-01 with Science categories.
Measurement shapes scientific theories, characterises improvements in manufacturing processes and promotes efficient commerce. In concert with measurement is uncertainty, and students in science and engineering need to identify and quantify uncertainties in the measurements they make. This book introduces measurement and uncertainty to second and third year students of science and engineering. Its approach relies on the internationally recognised and recommended guidelines for calculating and expressing uncertainty (known by the acronym GUM). The statistics underpinning the methods are considered and worked examples and exercises are spread throughout the text. Detailed case studies based on typical undergraduate experiments are included to reinforce the principles described in the book. This guide is also useful to professionals in industry who are expected to know the contemporary methods in this increasingly important area. Additional online resources are available to support the book at www.cambridge.org/9780521605793.
Measurement Uncertainties In Science And Technology
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Author : Michael Grabe
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-03-10
Measurement Uncertainties In Science And Technology written by Michael Grabe 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 2005-03-10 with Science categories.
In this book, Grabe illustrates the breakdown of traditional error calculus in the face of modern measurement techniques. Revising Gauß` error calculus ab initio, he treats random and unknown systematic errors on an equal footing from the outset. Furthermore, Grabe also proposes what may be called well defined measuring conditions, a prerequisite for defining confidence intervals that are consistent with basic statistical concepts. The resulting measurement uncertainties are as robust and reliable as required by modern-day science, engineering and technology.
Experimental Uncertainty Analysis A Textbook For Science And Engineering Students
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Author : Supreet Singh Bahga
language : en
Publisher: Supreet Singh Bahga
Release Date : 2021-07-06
Experimental Uncertainty Analysis A Textbook For Science And Engineering Students written by Supreet Singh Bahga and has been published by Supreet Singh Bahga this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-06 with Technology & Engineering categories.
Uncertainties are inevitable in any experimental measurement. Therefore, it is essential for science and engineering graduates to design and develop reliable experiments and estimate the uncertainty in the measurements. This book describes the methods and application of uncertainty analysis during the planning, data analysis, and reporting stages of an experiment. This book is aimed at postgraduate and advanced undergraduate students of various branches of science and engineering. The book teaches methods for estimating random and systematic uncertainties and combining them to determine the overall uncertainty in a measurement. In addition, the method for propagating measurement uncertainties in the calculated result is discussed. The book also discusses methods of reducing the uncertainties through proper instrumentation, data acquisition, and experiment planning. This book provides detailed background and assumptions underlying the uncertainty analysis techniques for the reader to understand their applicability. Various solved examples are provided to demonstrate the application of the uncertainty analysis techniques. The exercises at the end of the chapters have been chosen carefully to reinforce the concepts discussed in the text.
Measurements And Their Uncertainties
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Author : Ifan Hughes
language : en
Publisher: Oxford University Press
Release Date : 2010-07
Measurements And Their Uncertainties written by Ifan Hughes and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07 with Mathematics categories.
This short guide to modern error analysis is primarily intended to be used in undergraduate laboratories in the physical sciences. No prior knowledge of statistics is assumed. The necessary concepts are introduced where needed and illustrated graphically. The book emphasises the use of computers for error calculations and data fitting.
Errors In Practical Measurement In Science Engineering And Technology
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Author : B. Austin Barry
language : en
Publisher:
Release Date : 1978-09-20
Errors In Practical Measurement In Science Engineering And Technology written by B. Austin Barry and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978-09-20 with Mathematics categories.
Covers all the elements of statistical error analysis in measurement. A step-by-step presentation of how random errors occur when taking measurements, how these errors behave, how measurement errors can be used to determine the reliability of the values, and how to accord weights to different measurements of the same quantity. Provides several appendices including a Frequency Distribution Tabulation Sheet and Arithmetic Probability Paper—two items intended for photocopying.