Propagation Of Errors

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Propagation Of Errors

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Author : Mike Peralta
language : en
Publisher: CreateSpace
Release Date : 2012-01-30

Propagation Of Errors written by Mike Peralta and has been published by CreateSpace this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-30 with Mathematics categories.

“The Best Propagation-of-Errors Book Out There” Great care was taken to fully derive what the technique of Propagation of Errors (POE) Analysis is based on. I would have loved to have this book as both an undergrad and grad student. (And as a professional scientist and engineer as well). And now this is finally available. As a student I was required to use (first order linear) POE to analyze measurement errors in my physical experiments. However it was never derived or explained. This book now derives the POE analysis. Not just to first order linear but also the correlated and second order case as well. With this POE book we now have “The Grand Slam” of POE books. In this second edition, exercises are now included so the book can be used in a class or lab setting. What is Propagation of Errors? Experimental measurements always have some degree of error. If these measurements are used to calculate other results, through mathematical expressions, these errors will propagate through to these other results. As you will see in this book, the usual POE expression is first order and is linear in the parameters. Most of the time, the first order linear POE is all that is needed. However, sometimes the second order treatment is necessary. First order linear POE can be found in many fine books, but second order is rarely treated, and so that may be the highlight of this book for those who wish to really understand propagation-of-errors. Notes about the Second Edition: • Chapter 2 has been split into Chapters 2, 3, and 4. • Chapter 3 was added to focus on Propagation of Errors when some or all of the random variables are correlated. This will be found to be very influential in many cases – especially when measuring procedures take advantage of tracking or matched resistors for example. • Chapter 4 was added to include and expand on the Second Order Propagation of Errors Case. • Exercises were added to Chapters 2, 3, and 4. This will now encourage this material to be used as a textbook.

Error Propagation For Difference Methods

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Author : Peter Henrici
language : en
Publisher:
Release Date : 1977

Error Propagation For Difference Methods written by Peter Henrici and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with categories.

Multivariate Error Analysis

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Author : A. A. Clifford
language : en
Publisher:
Release Date : 1973

Multivariate Error Analysis written by A. A. Clifford and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mathematics categories.

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.

On The Propagation Of Errors In The Size Of Join Results

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Author : University of Wisconsin--Madison. Computer Sciences Dept
language : en
Publisher:
Release Date : 1991

On The Propagation Of Errors In The Size Of Join Results written by University of Wisconsin--Madison. Computer Sciences Dept and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Relational databases categories.

Finally, we discuss some promising approaches to controlling the error propagation and derive several interesting properties of them."

A Computer Study Of The Estimated Propagation Of Errors In The Numerical Integration Of Ordinary Differential Equations

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Author : Robert C. Zani
language : en
Publisher:
Release Date : 1967

A Computer Study Of The Estimated Propagation Of Errors In The Numerical Integration Of Ordinary Differential Equations written by Robert C. Zani and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with categories.

The adjoint of the equation of first variation is used to estimate error propagation in the numerical solution of differential equations. Truncation error is obtained by Richardson's deferred approach to the limit, while roundoff is assumed uniformly distributed from -1/2 to 1/2 in units of the last place retained in the solution. Six representative equations with known solutions are analyzed using the Runge-Kutta routine. The errors predicted by this technique are the same magnitude or greater than the actual errors. The very restricted four body problem is integrated about a libration point and the results indicate an invalid solution after 11.1 years. (Author).

The Propagation Of Errors Fluctuations And Tolerances

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Author : John Wilder Tukey
language : en
Publisher:
Release Date : 195?

The Propagation Of Errors Fluctuations And Tolerances written by John Wilder Tukey and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 195? with Error functions categories.

An Introduction To Error Analysis

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Author : John Robert Taylor
language : en
Publisher: Grove Press
Release Date : 1982

An Introduction To Error Analysis written by John Robert Taylor and has been published by Grove Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Mathematics categories.

Error Propagation In Environmental Modelling With Gis

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Author : Gerard B.M. Heuvelink
language : en
Publisher: CRC Press
Release Date : 1998-03-03

Error Propagation In Environmental Modelling With Gis written by Gerard B.M. Heuvelink and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-03-03 with Technology & Engineering categories.

GIS users and professionals are aware that the accuracy of GIS results cannot be naively based on the quality of the graphical output. Data stored in a GIS will have been collected or measured, classified, generalised, interpreted or estimated, and in all cases this allows the introduction of errors.; With the processing of translation of this data into the GIS itself further propagation or amplification or errors also occur. It is essential that GIS professionals understand these issues systematically if they are to build ever more accurate systems.; In this book the authors decade of study into these problems is brought into focus with an account of the development, application and implementation of error propagation techniques for use in environmental modelling with GIS. Its purpose is to provide a methodology for handling error and error propagation.

The Propagation Of Errors Fluctuations And Tolerances

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Author : John W. Tukey
language : en
Publisher:
Release Date : 1958

The Propagation Of Errors Fluctuations And Tolerances written by John W. Tukey and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958 with categories.