Theory of errors and least squares

Theory of errors and least squares PDF Author: Le Roy Dougherty Weld
Publisher:
ISBN:
Category :
Languages : en
Pages : 220

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Theory of errors and least squares

Theory of errors and least squares PDF Author: Le Roy Dougherty Weld
Publisher:
ISBN:
Category :
Languages : en
Pages : 220

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Book Description


Theory of Errors and Least Squares

Theory of Errors and Least Squares PDF Author: Le Roy Dougherty Weld
Publisher:
ISBN:
Category : Error analysis (Mathematics).
Languages : en
Pages : 212

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The Theory of Errors and Method of Least Squares

The Theory of Errors and Method of Least Squares PDF Author: William Woolsey Johnson
Publisher:
ISBN:
Category : Error analysis (Mathematics)
Languages : en
Pages : 162

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The Theory of Errors and Method of Least Squares

The Theory of Errors and Method of Least Squares PDF Author: William Johnson
Publisher: Createspace Independent Publishing Platform
ISBN: 9781515101888
Category :
Languages : en
Pages : 0

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From the INTRODUCTORY. Errors of Observation. 1. A quantity of which the magnitude is to be determined is either directly measured, or, as in the more usual case, deduced by calculation from quantities which are directly measured. The result of a direct measurement is called an observation. Observations of the kind here considered are thus of the nature of readings upon some scale, generally attached to an instrument of observation. The least count of the instrument is the smallest difference recognized in the readings of the instrument, so that every observation is recorded as an integral multiple of the least count. 2. Repeated observations of the same quantity, even when made with the same instrument and apparently under the same circumstances, will nevertheless differ materially. An increase in the nicety of the observations, and the precision of the instrument, may decrease the discrepancies in actual magnitude; but at the same time, by diminishing the least count, their numerical measures will generally be increased; so that, with the most refined instruments, the discrepancies may amount to many times the least count. Thus every observation is subject to an error, the error being the difference between the observed value and the true value; an observed value which exceeds the true value is regarded as having a positive error, and one which falls short of it as having a negative error. 3. An error may be regarded as the algebraic sum of a number of elemental errors due to various causes. So far as these causes can be ascertained, their results are not errors at all, in the sense in which the term is here used, and are supposed to have been removed by means of proper corrections. Systematic errors are such as result from unknown causes affecting all the observations alike. These again are not the subjects of the "theory of errors," which is concerned solely with the accidental errors which produce the discrepancies between the observations.

Theory of Errors and Least Squares

Theory of Errors and Least Squares PDF Author: Le Roy Dougherty Weld
Publisher: Palala Press
ISBN: 9781377388922
Category :
Languages : en
Pages : 220

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Book Description
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.

The Theory of Errors and Method of Least Squares

The Theory of Errors and Method of Least Squares PDF Author: William Woolsey Johnson
Publisher:
ISBN:
Category : Error analysis (Mathematics)
Languages : en
Pages : 0

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Theory of Errors and Least Squares: a Text-book for College Students and Research Workers

Theory of Errors and Least Squares: a Text-book for College Students and Research Workers PDF Author: Le Roy Dougherty WELD
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Theory of Errors and Least Squares

Theory of Errors and Least Squares PDF Author: Le Roy Dougherty Weld
Publisher:
ISBN:
Category : Error analysis (Mathematics)
Languages : en
Pages : 190

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Theory of Errors and Method of Least Squares

Theory of Errors and Method of Least Squares PDF Author: Johnson William Woolsey
Publisher:
ISBN: 9780243786817
Category :
Languages : en
Pages :

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Theory of Errors and Least Squares

Theory of Errors and Least Squares PDF Author: Leroy D. Weld
Publisher: Wentworth Press
ISBN: 9780469783393
Category : Mathematics
Languages : en
Pages : 206

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Book Description
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.