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A Text Book on the Method of Least Squares (Abridged, Paperback, abridged edition) Loot Price: R301
Discovery Miles 3 010

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# A Text Book on the Method of Least Squares (Abridged, Paperback, abridged edition)

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Loot Price R301 Discovery Miles 3 010

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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1888 edition. Excerpt: ... 5.. In Art. 27 it was shown that the algebraic sum of the residuals must always equal zer0. This principle may be used to furnish a check on the accuracy of the numerical work. 82. The tables in Chap. X will be found useful in abbreviating computations. By the help of Table VI the squares of the residuals can be readily found. By Table III the computation of r and r, can be much abridged; for instance, in the The table of four-figure logarithms will also prove useful in extracting roots and performing multiplications. When the tables are used, it will be found more convenient to compute 1;, from (21) than from (19). Formula (19), however, is very important in indicating that the probable error of the mean decreases, and hence that its precision increases, with the square root of the number of observations. It should be borne in mind, that the method of the arithmetical mean only applies to equally good observations on a single quantity, and that it cannot be used for the adjustment of observations on-several related quantities. For instance, let an angle be measured, and found to be 60% degrees, and again let it be measured in two parts, one being found to be 40 degrees, and the other 20 degrees. The proper adjusted value of the angle is not, as might at first be supposed, the mean of 60% and 60, which is 601 degrees, but, as will be seen in the next chapter, it is 60% degrees, --a result which requires the correction of each observation by the same amount. 83. The method of computing probable errors by formula (20) is that considered the best by all writers. Nevertheless, on account of the labor of forming the squares of the residuals, a simpler and less accurate formula is often employed, in which only the residuals themselves are...

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 Imprint: Rarebooksclub.com Country of origin: United States Release date: September 2013 First published: September 2013 Authors: Anonymous Dimensions: 246 x 189 x 2mm (L x W x T) Format: Paperback - Trade Pages: 36 Edition: abridged edition ISBN-13: 978-1-230-02907-8 Barcode: 9781230029078 Categories: Books Promotions LSN: 1-230-02907-9

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