Search results for: an-introduction-to-error-analysis

An Introduction to Error Analysis

Author : John Robert Taylor
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Problems after each chapter

An Introduction to Error Analysis

Author : John Robert Taylor
File Size : 55.86 MB
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An introduction to error analysis for first degree students who do experimental work in science and engineering courses.

An Introduction to the Concept of Error Analysis

Author : Robert Wetzorke
File Size : 61.33 MB
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Seminar paper from the year 2005 in the subject English - Pedagogy, Didactics, Literature Studies, grade: 1,3, Technical University of Braunschweig (Englisches Seminar), language: English, abstract: Foreign Language Pedagogy (FLP), in general, aims to convey to teachers the essential information about the role of the learner and the teacher in the process of language learning, and also provides them with theoretical, didactic methods and practical means for the foreign language classroom (FLC). We can even go a step further by claiming that the mission of FLP is to research for and establish the supreme way of a teaching a foreign language (FL) to the learners. However, within this field of research it becomes quite obvious that the learners take in a rather passive role and do not contribute very much to new research data and, hence, new approaches towards foreign language teaching (FLT). This thesis can be held true, to give just one example, when we consider the various teaching methods for the FLC. Although the role of the learner is taken into account in each method, the learners are fairly more than "testing objects" of teaching models hypothesized by didactic scientists. On the other hand, one must admit that in correspondence with the recent emergence and establishment of the communicative approach (CA), the learners preferences and demands have been taken far more into consideration and their linguistic and communicative performance serve as source for methodological research input and constructive, teacher strategies-oriented as well as learner strategies-oriented output offered by science. Recently, and paradoxically enough, it can be perceived intensive discussion concerning the question how to deal best with errors produced by learners. More precisely, there has been a shift from the formerly applied "Contrastive Analysis" (CAH) toward the occupation with "Error Analysis" (EA). (...)

Introduction to Error Analysis

Author : Jack Merrin
File Size : 75.38 MB
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Great scientists master the math behind the science. Do you still delay mastering data analysis, keeping you from more accurate, rigorous, and higher certainty conclusions? Jack Merrin, Ph.D. Princeton University, is a physicist who has helped hundreds of students with math and physics, taught physics labs, and used error analysis through 25 years of research. You can surely learn the right statistical methods from Jack. Introduction to Error Analysis is more than a collection of ad-hoc statistical theory. It is an easy-to-read blueprint used by scientists for presenting correct results. Transform your experimental perspective to confidence. Learn reusable principles for each new scientific project. This book covers reporting measurements and uncertainties, propagation of error, combining results, curve fitting, essential statistical concepts, and much, much, more. You might love this book if: You are doing lab reports or actual research, and it's time to get serious about data analysis. You want to focus on the essential calculations, not on time-wasting theory. You want adaptable MATLAB code for each different calculation. Hey, no need to reinvent the wheel. You want to reach correct and unique results using the established convention. You want to know what is correct to spot bad scientific literature. Introduction to Error Analysis is the concise book you need to start building your successful scientific career. If you like easy-to-follow lessons, practical examples, insightful tips, and an author who actually cares about you getting it right, then you'll love Jack's book. Buy Introduction to Error Analysis to start refining your data analysis skills today!

Measurements and Their Uncertainties

Author : Ifan Hughes
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This short book is primarily intended to be used in undergraduate laboratories in the physical sciences. No prior knowledge of statistics is assumed, with the necessary concepts introduced where needed, and illustrated graphically. In contrast to traditional treatments a combination of spreadsheet and calculus-based approaches is used. Error analysis is introduced at a level accessible to school leavers, and carried through to research level. The emphasisthroughout is on practical strategies to be adopted in the laboratory. Error calculation and propagation is presented though a series of rules-of-thumb, look-up tables and approaches amenable to computeranalysis.

Data Reduction and Error Analysis for the Physical Sciences

Author : Philip Bevington
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The purpose of this book is to provide an introduction to the concepts of statistical analysis of data for students at the undergraduate and graduate level, and to provide tools for data reduction and error analysis commonly required in the physical sciences. The presentation is developed from a practical point of view, including enough derivation to justify the results, but emphasizing methods of handling data more than theory. The text provides a variety of numerical and graphical techniques. Computer programs that support these techniques will be available on an accompanying website in both Fortran and C++.

Finite Element Analysis with Error Estimators

Author : J. E. Akin
File Size : 73.71 MB
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This key text is written for senior undergraduate and graduate engineering students. It delivers a complete introduction to finite element methods and to automatic adaptation (error estimation) that will enable students to understand and use FEA as a true engineering tool. It has been specifically developed to be accessible to non-mathematics students and provides the only complete text for FEA with error estimators for non-mathematicians. Error estimation is taught on nearly half of all FEM courses for engineers at senior undergraduate and postgraduate level; no other existing textbook for this market covers this topic. The only introductory FEA text with error estimation for students of engineering, scientific computing and applied mathematics Includes source code for creating and proving FEA error estimators

Experimentation

Author : David Carr Baird
File Size : 48.50 MB
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An Introduction to Element Based Galerkin Methods on Tensor Product Bases

Author : Francis X. Giraldo
File Size : 38.4 MB
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This book introduces the reader to solving partial differential equations (PDEs) numerically using element-based Galerkin methods. Although it draws on a solid theoretical foundation (e.g. the theory of interpolation, numerical integration, and function spaces), the book's main focus is on how to build the method, what the resulting matrices look like, and how to write algorithms for coding Galerkin methods. In addition, the spotlight is on tensor-product bases, which means that only line elements (in one dimension), quadrilateral elements (in two dimensions), and cubes (in three dimensions) are considered. The types of Galerkin methods covered are: continuous Galerkin methods (i.e., finite/spectral elements), discontinuous Galerkin methods, and hybridized discontinuous Galerkin methods using both nodal and modal basis functions. In addition, examples are included (which can also serve as student projects) for solving hyperbolic and elliptic partial differential equations, including both scalar PDEs and systems of equations.

Errors in Language Learning and Use

Author : Carl James
File Size : 75.93 MB
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Errors in Language Learning and Use is an up-to-date introduction and guide to the study of errors in language, and is also a critical survey of previous work. Error Analysis occupies a central position within Applied Linguistics, and seeks to clarify questions such as `Does correctness matter?', `Is it more important to speak fluently and write imaginatively or to communicate one's message?' Carl James provides a scholarly and well-illustrated theoretical and historical background to the field of Error Analysis. The reader is led from definitions of error and related concepts, to categorization of types of linguistic deviance, discussion of error gravities, the utility of teacher correction and towards writing learner profiles. Throughout, the text is guided by considerable practical experience in language education in a range of classroom contexts worldwide.

A Unified Approach to the Finite Element Method and Error Analysis Procedures

Author : Julian A. T. Dow
File Size : 61.90 MB
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A Unified Approach to the Finite Element Method and Error Analysis Procedures provides an in-depth background to better understanding of finite element results and techniques for improving accuracy of finite element methods. Thus, the reader is able to identify and eliminate errors contained in finite element models. Three different error analysis techniques are systematically developed from a common theoretical foundation: 1) modeling erros in individual elements; 2) discretization errors in the overall model; 3) point-wise errors in the final stress or strain results. Thoroughly class tested with undergraduate and graduate students. A Unified Approach to the Finite Element Method and Error Analysis Procedures is sure to become an essential resource for students as well as practicing engineers and researchers. New, simpler element formulation techniques, model-independent results, and error measures New polynomial-based methods for identifying critical points New procedures for evaluating sheer/strain accuracy Accessible to undergraduates, insightful to researchers, and useful to practitioners Taylor series (polynomial) based Intuitive elemental and point-wise error measures Essential background information provided in 12 appendices

Classical Mechanics

Author : John R. Taylor
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John Taylor has brought to his most recent book, ClassicalMechanics, all of the clarity and insight that made his Introduction toError Analysisa best-selling text. ClassicalMechanicsis intended for students who have studied some mechanics in anintroductory physics course, such as "freshman physics." With unusual clarity, the book covers most of the topics normally found in books at this level, includingconservation laws, oscillations, Lagrangian mechanics, two-body problems, non-inertial frames, rigid bodies, normal modes, chaos theory,Hamiltonian mechanics, and continuum mechanics. A particular highlight is the chapter on chaos, which focuses on a fewsimple systems, to give a truly comprehensible introduction to theconcepts that we hear so much about. At the end of each chapter is a large selection of interesting problemsfor the student, 744 in all, classified by topic and approximate difficulty, and ranging fromsimple exercises to challenging computer projects. Adopted by more than 450 colleges anduniversities in the USA and Canada and translated into six languages, Taylor's Classical Mechanicsisa thorough and very readable introduction to a subject that is four hundredyears old but as exciting today as ever. Theauthor manages to convey that excitement as well as deep understanding and insight. Ancillaries A detailed Instructors' Manual is available for adopting professors. Art from the book may be downloaded by adopting professors.

An Introduction to Recent Developments in Theory and Numerics for Conservation Laws

Author : Dietmar Kröner
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The book concerns theoretical and numerical aspects of systems of conservation laws, which can be considered as a mathematical model for the flows of inviscid compressible fluids. Five leading specialists in this area give an overview of the recent results, which include: kinetic methods, non-classical shock waves, viscosity and relaxation methods, a-posteriori error estimates, numerical schemes of higher order on unstructured grids in 3-D, preconditioning and symmetrization of the Euler and Navier-Stokes equations. This book will prove to be very useful for scientists working in mathematics, computational fluid mechanics, aerodynamics and astrophysics, as well as for graduate students, who want to learn about new developments in this area.

Integral and Discrete Transforms with Applications and Error Analysis

Author : Abdul Jerri
File Size : 74.38 MB
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This reference/text desribes the basic elements of the integral, finite, and discrete transforms - emphasizing their use for solving boundary and initial value problems as well as facilitating the representations of signals and systems.;Proceeding to the final solution in the same setting of Fourier analysis without interruption, Integral and Discrete Transforms with Applications and Error Analysis: presents the background of the FFT and explains how to choose the appropriate transform for solving a boundary value problem; discusses modelling of the basic partial differential equations, as well as the solutions in terms of the main special functions; considers the Laplace, Fourier, and Hankel transforms and their variations, offering a more logical continuation of the operational method; covers integral, discrete, and finite transforms and trigonometric Fourier and general orthogonal series expansion, providing an application to signal analysis and boundary-value problems; and examines the practical approximation of computing the resulting Fourier series or integral representation of the final solution and treats the errors incurred.;Containing many detailed examples and numerous end-of-chapter exercises of varying difficulty for each section with answers, Integral and Discrete Transforms with Applications and Error Analysis is a thorough reference for analysts; industrial and applied mathematicians; electrical, electronics, and other engineers; and physicists and an informative text for upper-level undergraduate and graduate students in these disciplines.

An Introduction to Linguistics for the Language Teacher

Author : Kiat Boey Lim
File Size : 48.23 MB
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Resources in Education

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Investments an Introduction to Analysis and Management

Author : Frederick Amling
File Size : 87.72 MB
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Second Language Learning

Author : Betty Wallace Robinett
File Size : 35.51 MB
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Measurement Analysis An Introduction To The Statistical Analysis Of Laboratory Data In Physics Chemistry And The Life Sciences

Author : Caria Mario
File Size : 31.89 MB
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This book deals with the statistical treatment of experimental data. It is also meant for those who are entirely new to the field of statistics and probability calculus, and those who wish to obtain rigorous estimates of the uncertainties associated with the experimental results of any discipline, such as meteorology, engineering, physics, chemistry and the life sciences. To understand the text, only a basic understanding of differential calculus is required.As an innovative teaching approach, simple laboratory class experiments are used as the basis for developing a detailed statistical analysis. This is done by directly using the students' logbooks without re-elaboration. The approach is profitable and can be easily pursued by the layman.People have, in the past, been confused by the many statistical definitions, formulae and assumptions. This book tries to avoid any arbitrary definition by using the recently introduced ISO directives.All the concepts, parameters and test variables for the modern treatment of experimental data are included. Among them are the error, uncertainty and its estimate, the distribution functions and the associated parameters. Every concept is associated with a simple experimental situation and the data analysis is performed in numerical detail. For completeness, the correlation of uncertainties with the error matrix is dealt with in greater detail. All the tests of hypotheses are presented. They are introduced from simple arguments and developed up to the analytical details. The applications of the tests to the fitting of experimental curves of the χ2, t and F tests, as well as the one most often used in the life sciences, the ANOVA, are shown./a

An Introduction to the Design and Analysis of Experiments in Behavioral Research

Author : John J. Kennedy
File Size : 73.23 MB
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This second edition is still designed for graduate students and researchers in the social, behavioral and health sciences who have modest backgrounds in mathematics and statistics. Also, priority is still given to the discussion of seminal ideas that underlie the analysis of variance. With respect to the first edition, the late Jum C. Nunnally of Vanderbilt University remarked, 'Overall, there is no better text on statistics in the behavioral sciences available, and I strongly recommend it.' A new feature is the optional availability of a microcomputer software package, MICRO-ANOVA, that will enable researchers to perform all analyses presented in the text on IBM PCs or equivalent computers. The software package is available through UPA.