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An Introduction to Error Analysis

An Introduction to Error Analysis
Author: John Robert Taylor
Publisher: Univ Science Books
Total Pages: 327
Release: 1997-01-01
Genre: Mathematics
ISBN: 9780935702422

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Problems after each chapter


Measurements and their Uncertainties

Measurements and their Uncertainties
Author: Ifan Hughes
Publisher: OUP Oxford
Total Pages: 152
Release: 2010-07-02
Genre: Science
ISBN: 0191576565

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This hands-on guide is primarily intended to be used in undergraduate laboratories in the physical sciences and engineering. It assumes no prior knowledge of statistics. It introduces the necessary concepts where needed, with key points illustrated with worked examples and graphic illustrations. In contrast to traditional mathematical treatments it uses a combination of spreadsheet and calculus-based approaches, suitable as a quick and easy on-the-spot reference. The emphasis throughout is on practical strategies to be adopted in the laboratory. Error analysis is introduced at a level accessible to school leavers, and carried through to research level. Error calculation and propagation is presented though a series of rules-of-thumb, look-up tables and approaches amenable to computer analysis. The general approach uses the chi-square statistic extensively. Particular attention is given to hypothesis testing and extraction of parameters and their uncertainties by fitting mathematical models to experimental data. Routines implemented by most contemporary data analysis packages are analysed and explained. The book finishes with a discussion of advanced fitting strategies and an introduction to Bayesian analysis.


Measurement Uncertainties

Measurement Uncertainties
Author: S. V. Gupta
Publisher: Springer Science & Business Media
Total Pages: 336
Release: 2012-01-13
Genre: Technology & Engineering
ISBN: 3642209890

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This book fulfills the global need to evaluate measurement results along with the associated uncertainty. In the book, together with the details of uncertainty calculations for many physical parameters, probability distributions and their properties are discussed. Definitions of various terms are given and will help the practicing metrologists to grasp the subject. The book helps to establish international standards for the evaluation of the quality of raw data obtained from various laboratories for interpreting the results of various national metrology institutes in an international inter-comparisons. For the routine calibration of instruments, a new idea for the use of pooled variance is introduced. The uncertainty calculations are explained for (i) independent linear inputs, (ii) non-linear inputs and (iii) correlated inputs. The merits and limitations of the Guide to the Expression of Uncertainty in Measurement (GUM) are discussed. Monte Carlo methods for the derivation of the output distribution from the input distributions are introduced. The Bayesian alternative for calculation of expanded uncertainty is included. A large number of numerical examples is included.


Proustian Uncertainties

Proustian Uncertainties
Author: Saul Friedländer
Publisher: Other Press, LLC
Total Pages: 177
Release: 2020-12-01
Genre: Literary Criticism
ISBN: 1590519124

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Named a Times Literary Supplement Best Book of the Year A Pulitzer Prize–winning historian revisits Marcel Proust’s masterpiece in this essay on literature and memory, exploring the question of identity—that of the novel’s narrator and Proust’s own. This engaging reexamination of In Search of Lost Time considers how the narrator defines himself, how this compares to what we know of Proust himself, and what the significance is of these various points of commonality and divergence. We know, for example, that the author did not hide his homosexuality, but the narrator did. Why the difference? We know that the narrator tried to marginalize his part-Jewish background. Does this reflect the author’s position, and how does the narrator handle what he tries, but does not manage, to dismiss? These are major questions raised by the text and reflected in the text, to which the author’s life doesn’t give obvious answers. The narrator’s reflections on time, on death, on memory, and on love are as many paths leading to the image of self that he projects. In Proustian Uncertainties, Saul Friedländer draws on his personal experience from a life spent investigating the ties between history and memory to offer a fresh perspective on the seminal work.


Structural Optimization with Uncertainties

Structural Optimization with Uncertainties
Author: N.V. Banichuk
Publisher: Springer Science & Business Media
Total Pages: 231
Release: 2009-12-01
Genre: Technology & Engineering
ISBN: 9048125189

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Structural optimization is currently attracting considerable attention. Interest in - search in optimal design has grown in connection with the rapid development of aeronautical and space technologies, shipbuilding, and design of precision mach- ery. A special ?eld in these investigations is devoted to structural optimization with incomplete information (incomplete data). The importance of these investigations is explained as follows. The conventional theory of optimal structural design - sumes precise knowledge of material parameters, including damage characteristics and loadings applied to the structure. In practice such precise knowledge is seldom available. Thus, it is important to be able to predict the sensitivity of a designed structure to random ?uctuations in the environment and to variations in the material properties. To design reliable structures it is necessary to apply the so-called gu- anteed approach, based on a “worst case scenario” or a more optimistic probabilistic approach, if we have additional statistical data. Problems of optimal design with incomplete information also have consid- able theoretical importance. The introduction and investigations into new types of mathematical problems are interesting in themselves. Note that some ga- theoretical optimization problems arise for which there are no systematic techniques of investigation. This monograph is devoted to the exposition of new ways of formulating and solving problems of structural optimization with incomplete information. We recall some research results concerning the optimum shape and structural properties of bodies subjected to external loadings.


Uncertainties in Greenhouse Gas Inventories

Uncertainties in Greenhouse Gas Inventories
Author: Jean P. Ometto
Publisher: Springer
Total Pages: 255
Release: 2015-04-23
Genre: Science
ISBN: 3319159011

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This book is based on the 2014 Special Issue 124(3) of Climatic Change. It brings together 16 key papers presented at, or produced, subsequent to the 2010 (3rd) International Workshop on Uncertainty in Greenhouse Gas (GHG) Inventories. The Workshop was jointly organized by the Lviv Polytechnic National University, Ukraine; the Systems Research Institute of the Polish Academy of Sciences; and the International Institute for Applied Systems Analysis, Austria. This book has been written to enhance understanding of the uncertainty encountered in estimating greenhouse gas (GHG) emissions and in dealing with the challenges resulting from those estimates. Such challenges include, but are not limited to i) monitoring emissions; ii) adhering to emission commitments; iii) securing the proper functioning of emission trading markets; and iv) meeting low-carbon or low-GHG futures in the long term. The approaches to addressing uncertainty discussed by all authors attempt to improve national inventories, not only for their own sake but also from a wider, systems analytical perspective that seeks to strengthen their usefulness under a compliance and/or global monitoring and reporting framework. These approaches show the challenges and benefits of including inventory uncertainty in policy analysis and where advances are being made.


Principles of Modeling Uncertainties in Spatial Data and Spatial Analyses

Principles of Modeling Uncertainties in Spatial Data and Spatial Analyses
Author: Wenzhong Shi
Publisher: CRC Press
Total Pages: 456
Release: 2009-09-30
Genre: Mathematics
ISBN: 1420059289

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When compared to classical sciences such as math, with roots in prehistory, and physics, with roots in antiquity, geographical information science (GISci) is the new kid on the block. Its theoretical foundations are therefore still developing and data quality and uncertainty modeling for spatial data and spatial analysis is an important branch of t


Mechanical Engineering in Uncertainties From Classical Approaches to Some Recent Developments

Mechanical Engineering in Uncertainties From Classical Approaches to Some Recent Developments
Author:
Publisher: John Wiley & Sons
Total Pages: 352
Release: 2021-03-05
Genre: Science
ISBN: 1119817625

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Considering the uncertainties in mechanical engineering in order to improve the performance of future products or systems is becoming a competitive advantage, sometimes even a necessity, when seeking to guarantee an increasingly high safety requirement. Mechanical Engineering in Uncertainties deals with modeling, quantification and propagation of uncertainties. It also examines how to take into account uncertainties through reliability analyses and optimization under uncertainty. The spectrum of the methods presented ranges from classical approaches to more recent developments and advanced methods. The methodologies are illustrated by concrete examples in various fields of mechanics (civil engineering, mechanical engineering and fluid mechanics). This book is intended for both (young) researchers and engineers interested in the treatment of uncertainties in mechanical engineering.


Evaluation of Uncertainties and Risks in Geology

Evaluation of Uncertainties and Risks in Geology
Author: György Bardossy
Publisher: Springer Science & Business Media
Total Pages: 250
Release: 2004-01-22
Genre: Nature
ISBN: 9783540206224

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It is a well known fact that geological investigations are characterized by particularly high incertainties. Furthermore,decisions related to geology, such as mineral exploration, mining investmentsetc. are connected with higher risks than similar decisions in the branches of industry and economy. Finally there are a number of highly dangerous natural hazards, e.g. earthquakes, volcanic activities, inundations etc. that are directly depending on geological processes. It is of paramount interest to study them, to describe them, to understand their origin and - if - possible to predict them. Uncertainties, geological risks and natural hazards are often mentioned in geological text-books, conference proceedings and articles, butno overall evaluation of them has been written so far.The complexity of these problems requires a thorough mathematical treatment.This book has been written with the purpose of presenting a detailed evaluation of the entire problem, discussing it from both the geological and the mathematical aspects.


Global Economic Uncertainties and Exchange Rate Shocks

Global Economic Uncertainties and Exchange Rate Shocks
Author: Eliphas Ndou
Publisher: Springer
Total Pages: 509
Release: 2018-01-08
Genre: Business & Economics
ISBN: 3319622803

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This book examines the macroeconomic and regulatory impact of domestic and international shocks on the South African economy resulting from the 2009 financial crisis. It also assesses the impact of the US economy’s eventual recovery from the crisis and the prospect of higher US interest rates in future. Told in three parts, the book explores associations between economic growth, policy uncertainty and the key domestic and international transmission channels, and transmission effects, of global financial regulatory and domestic macro-economic uncertainties on subdued and volatile economic recovery, financial channels, lending rate margins, and credit growth. The book concludes by extending its focus to the role of US monetary policy, capital flows and rand/US dollar volatility on the South African economy.