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Author : Ora Miner Leland
Publisher :
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.A/5 ( download)
Download or read book Practical Least Squares written by Ora Miner Leland and published by . This book was released on 1921 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ora Miner Leland
Publisher :
ISBN 13 : 9781332179947
Total Pages : 254 pages
Book Rating : 4.1/5 (799 download)
Download or read book Practical Least Squares (Classic Reprint) written by Ora Miner Leland and published by . This book was released on 2015-08-04 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Practical Least Squares This book results from the author's experience in teaching the subject of Least Squares and the Adjustment of Observations to classes of civil engineering students at Cornell University. As the time allotted to this work became more and more limited, the available textbooks became less adaptable to the scope of the course. To meet this condition, a series of chapters entitled "Notes on the Adjustment of Observations" was prepared and used as a text. With these notes as a basis, this book has been written. It is designed particularly for use in short courses of instruction and by engineers and scientists in connection with their private practice. It will not replace the more elaborate treatises on the subject but the author hopes that it will introduce the student directly to the simpler methods of solving the ordinary problems in adjustment. The plan of the work is essentially practical. After a general introduction devoted to a consideration of the character and occurrence of errors, the adjustment of direct, indirect, and conditioned observations is taken up in detail and illustrated by numerical applications to triangulation, leveling, astronomy, and the derivation of empirical formulas. Not until after this practical treatment of the determination of the best values of the unknown quantities is the precision of observations discussed, together with the computation of the mean square and probable errors of the observations and results. Finally, the principles of probability and the analytical derivation of the Law of Error are given in appendices. The utility of this arrangement should be obvious. By far the greater number of applications of Least Squares do not require a consideration of the precision of the results nor a knowledge of the mean square or probable errors. 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.
Author : Leland Ora Miner
Publisher :
ISBN 13 : 9780243775132
Total Pages : pages
Book Rating : 4.7/5 (751 download)
Download or read book Practical Least Squares written by Leland Ora Miner and published by . This book was released on 1901 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ora Miner Leland
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (454 download)
Download or read book Practical Least Squares written by Ora Miner Leland and published by . This book was released on 1979 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Martin André Rosanoff
Publisher : Forgotten Books
ISBN 13 : 9780484570008
Total Pages : 28 pages
Book Rating : 4.5/5 (7 download)
Download or read book A Practical Simplification of the Method of Least Squares written by Martin André Rosanoff and published by Forgotten Books. This book was released on 2017-12-23 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from A Practical Simplification of the Method of Least Squares: A Lecture Given at the Galois Institute of Mathematics at Long Island University The given experimental results are plotted on accurately ruled millimeter paper, the scale large enough to show the likely errors of observation or experiment. A smooth curve is drawn free hand to represent the trend of the points as closely as the eye will allow; or else a neat wavy curve is drawn through the points themselves. In some cases, if the points are more or less evenly thrown by the errors to the one and the other side of any curve on which they might belong, neighboring points may, for the purpose of interpolation, be con nected by straight lines. Erom the curve, or from the broken line, we read the ordinates corresponding to a set of uniformly increasing abscissas to which are assigned the values x 8 O, l, 2, 5, 4, 10; or some similar set. Still further simplification comes of assigning to the abiscissas the values (3-5) 3 -5, 4, 5, -2, l, O, l, 2, 5, 4, 5. 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.
Author : Bruce P. Gibbs
Publisher : John Wiley & Sons
ISBN 13 : 1118003160
Total Pages : 559 pages
Book Rating : 4.1/5 (18 download)
Download or read book Advanced Kalman Filtering, Least-Squares and Modeling written by Bruce P. Gibbs and published by John Wiley & Sons. This book was released on 2011-03-29 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended primarily as a handbook for engineers who must design practical systems. Its primary goal is to discuss model development in sufficient detail so that the reader may design an estimator that meets all application requirements and is robust to modeling assumptions. Since it is sometimes difficult to a priori determine the best model structure, use of exploratory data analysis to define model structure is discussed. Methods for deciding on the “best” model are also presented. A second goal is to present little known extensions of least squares estimation or Kalman filtering that provide guidance on model structure and parameters, or make the estimator more robust to changes in real-world behavior. A third goal is discussion of implementation issues that make the estimator more accurate or efficient, or that make it flexible so that model alternatives can be easily compared. The fourth goal is to provide the designer/analyst with guidance in evaluating estimator performance and in determining/correcting problems. The final goal is to provide a subroutine library that simplifies implementation, and flexible general purpose high-level drivers that allow both easy analysis of alternative models and access to extensions of the basic filtering. Supplemental materials and up-to-date errata are downloadable at http://booksupport.wiley.com.
Author : Charles L. Lawson
Publisher : SIAM
ISBN 13 : 0898713560
Total Pages : 348 pages
Book Rating : 4.8/5 (987 download)
Download or read book Solving Least Squares Problems written by Charles L. Lawson and published by SIAM. This book was released on 1995-12-01 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Classic edition includes a new appendix which summarizes the major developments since the book was originally published in 1974. The additions are organized in short sections associated with each chapter. An additional 230 references have been added, bringing the bibliography to over 400 entries. Appendix C has been edited to reflect changes in the associated software package and software distribution method.
Author : Ora Miner Leland
Publisher :
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.3/5 (91 download)
Download or read book Practical Least Squares written by Ora Miner Leland and published by . This book was released on 1921 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George Phillips Bond
Publisher : Forgotten Books
ISBN 13 : 9780656059645
Total Pages : 44 pages
Book Rating : 4.0/5 (596 download)
Download or read book On the Use of Equivalent Numbers in the Method of Least Squares (Classic Reprint) written by George Phillips Bond and published by Forgotten Books. This book was released on 2018-02-08 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from On the Use of Equivalent Numbers in the Method of Least Squares It is scarcely necessary to remark, that the subject _is plainly one which is in its nature somewhat vague and insusceptible of rigorous treatment, though it is at the same time interesting from its practical bearings. If no very precise or definite rules for regulating the degree of numerical exactness suited to the discussion of any given problem can be arrived at, it may still be of service to point out the principles which ought to guide the computer in the choice of such limits as shall perfectly meet all reasonable requirements of accuracy, without imposing upon him the unprofitable labor of multiplying the extent and difficulties of calculation, to no useful purpose, and without the remotest prospect of sensibly improving the real value of the results. 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.
Author : Mansfield Merriman
Publisher :
ISBN 13 :
Total Pages : 214 pages
Book Rating : 4.:/5 (334 download)
Download or read book A Text Book on the Method of Least Squares written by Mansfield Merriman and published by . This book was released on 1884 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Per Christian Hansen
Publisher : JHU Press
ISBN 13 : 1421408589
Total Pages : 325 pages
Book Rating : 4.4/5 (214 download)
Download or read book Least Squares Data Fitting with Applications written by Per Christian Hansen and published by JHU Press. This book was released on 2013-01-15 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: A lucid explanation of the intricacies of both simple and complex least squares methods. As one of the classical statistical regression techniques, and often the first to be taught to new students, least squares fitting can be a very effective tool in data analysis. Given measured data, we establish a relationship between independent and dependent variables so that we can use the data predictively. The main concern of Least Squares Data Fitting with Applications is how to do this on a computer with efficient and robust computational methods for linear and nonlinear relationships. The presentation also establishes a link between the statistical setting and the computational issues. In a number of applications, the accuracy and efficiency of the least squares fit is central, and Per Christian Hansen, Víctor Pereyra, and Godela Scherer survey modern computational methods and illustrate them in fields ranging from engineering and environmental sciences to geophysics. Anyone working with problems of linear and nonlinear least squares fitting will find this book invaluable as a hands-on guide, with accessible text and carefully explained problems. Included are • an overview of computational methods together with their properties and advantages • topics from statistical regression analysis that help readers to understand and evaluate the computed solutions • many examples that illustrate the techniques and algorithms Least Squares Data Fitting with Applications can be used as a textbook for advanced undergraduate or graduate courses and professionals in the sciences and in engineering.
Author : Ora Miner Leland
Publisher : Wentworth Press
ISBN 13 : 9780530960937
Total Pages : 250 pages
Book Rating : 4.9/5 (69 download)
Download or read book Practical Least Square written by Ora Miner Leland and published by Wentworth Press. This book was released on 2019-03-12 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : William Chauvenet
Publisher : Forgotten Books
ISBN 13 : 9780265963593
Total Pages : 112 pages
Book Rating : 4.9/5 (635 download)
Download or read book A Treatise on the Method of Least Squares, Or the Application of the Theory of Probabilities in the Combination of Observations (Classic Reprint) written by William Chauvenet and published by Forgotten Books. This book was released on 2017-10-30 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from A Treatise on the Method of Least Squares, or the Application of the Theory of Probabilities in the Combination of Observations As the Method of Least Squares is applicable in almost all the physical sciences where numerical results are to be de duced from observations, and is here treated from fundae mental and general principles, it is thought that this separate publication of the Appendix will supply the want that has for a long time been felt of a suitable text-book on this sub jcet for the use of students of practical science generally, and more especially of classes in our scientific schools. 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.
Author : Mansfield Merriman
Publisher : Forgotten Books
ISBN 13 : 9781440091551
Total Pages : 242 pages
Book Rating : 4.0/5 (915 download)
Download or read book A Text-Book on the Method of Least Squares written by Mansfield Merriman and published by Forgotten Books. This book was released on 2015-06-26 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from A Text-Book on the Method of Least Squares The "Elements of the Method of Least Squares," published in 1877, was written with two objects in view: first, to present the fundamental principles and processes of the subject in so plain a manner, and to illustrate their application by such simple and practical examples, as to render it accessible to civil engineers who have not had the benefit of extended mathematical training; and, secondly, to give an elementary exposition of the theory which would be adapted to the needs of a large and constantly increasing class of students. In preparing the following pages the author has likewise kept these two objects continually in mind. While the former work has been used as a basis, the alterations and additions have been so numerous and radical as to render this a new and distinct book rather than a second edition. The arrangement of the theoretical and practical parts is entirely different. 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.
Author : Harry M. Roeser
Publisher : Forgotten Books
ISBN 13 : 9780267907014
Total Pages : 20 pages
Book Rating : 4.9/5 (7 download)
Download or read book Calculation of the Constants of Planck's Radiation Equation written by Harry M. Roeser and published by Forgotten Books. This book was released on 2019-01-05 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Calculation of the Constants of Planck's Radiation Equation: An Extension of the Theory of Least Squares In the data used in this paper the gain in precision of the least square method over the weighted two-point method using a limited number of computations is slight for the particular arrange ment of the observations in Table 4. However, the element of chance enters to a considerable degree in the worth of the results of Table 4. It must be remembered that there are 10 other arrangements Of the observations using them all once. Had any one of these happened to be selected for the illustration, the results might Or might not have agreed so well both in the value of the constant and the probable error.' In the same way the element of chance is a large factor in the disagreement of the simple mean with the least - square value. Individual computa tions for o, by the two - point method can be arranged to present a practical significance. To a physicist which the least - square method does not directly possess, but. Consideration of these is outside the scope of this paper. 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.
Author : Martin André Rosanoff
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (134 download)
Download or read book A Practical Simplification of the Method of Least Squares written by Martin André Rosanoff and published by . This book was released on 194? with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Pavel B. Bochev
Publisher : Springer Science & Business Media
ISBN 13 : 0387689222
Total Pages : 669 pages
Book Rating : 4.3/5 (876 download)
Download or read book Least-Squares Finite Element Methods written by Pavel B. Bochev and published by Springer Science & Business Media. This book was released on 2009-04-28 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since their emergence, finite element methods have taken a place as one of the most versatile and powerful methodologies for the approximate numerical solution of Partial Differential Equations. These methods are used in incompressible fluid flow, heat, transfer, and other problems. This book provides researchers and practitioners with a concise guide to the theory and practice of least-square finite element methods, their strengths and weaknesses, established successes, and open problems.
