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Theory of Errors and Least Squares; A Textbook for College Students and Research Workers

Theory of Errors and Least Squares; A Textbook for College Students and Research Workers


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About the Book

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1916 Excerpt: ... t, V0 the capacity at zero and K a constant involving the coefficient of expansion of the glass. The two constants V0 and K must be experimentally determined from time to time for any pyknometer that is used in accurate measurements of density. This may be done by finding the capacity at several different temperatures over the required range The following is a tabulation of eight such determinations, using distilled water and corrected for buoyancy of the air. Let the student form the eight observation equations and the two normal equations, and reduce for the most probable values of V0 and K. (The approximate answers are, V0 = 25.2509, K = 0.0005244.) 37. Illustrations from Surveying. 1. Locating a Distant Station.--Some of the best writers on surveying strongly recommend the use of rec If the range be large, K will vary somewhat. The range may be subdivided, say into 10-degree intervals, and the constants found for each; or better, a quadratic relation assumed, with three constants. See Art. 45. Q tangular coordinates in surveying and mapping; certainly their use reduces many calculations to a more scientific basis. The problem in hand is as follows: Given, the coordinates of a number of stations A, B, C, etc., with reference to an origin 0, and the bearing of an unknown station P from each of these stations; to find the most probable coordinates of P. For instance, the unknown station P is a reef near the coast along which the points A, B, etc., are located. The numerical data are as follows, for five stations. The vectorial angles in the last column are the angles made by the vectors PA, PB, etc., with the line drawn eastward through P, calculated from the given bearings. Using coordinates x and y to locate P, and xa, ya, etc., for A, etc., we can writ...


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Product Details
  • ISBN-13: 9781236388278
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 36
  • Spine Width: 2 mm
  • Width: 189 mm
  • ISBN-10: 1236388275
  • Publisher Date: 01 May 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 82 gr

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