General Principles of the Method of Least Squares With Applications
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In our eReader you can find the full English version of the book. Read General Principles of the Method of Least Squares With Applications Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book General Principles of the Method of Least Squares With Applications
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To quickly assess the difficulty of the text, read a short excerpt:
0144 . 16 . 0256 . 0768 . 12 -. 0144 -. 0288 . 1204 = Since in this example n = 4, n' = 1, q = 3, By (79) : :V^ : - 25 ^ == -^ . 09 u, _ = ^ = . 08 p-zt = -08 \/9. 9 COMPUTATION OF THE PRECISION MEASURES. 81 The first significant figure in the mean errors is so large that it is not worth while to retain the second place as usual.
If desired, the probable errors and average deviations can now be computed by the usual formulas.
88. In case the observations are made directly upon the values of sev...eral quantities subject to certain conditions, we have n = g, and equation (79) reduces to v=^ from which the mean error of any observation may at once be computed from its weight.
89. Example. Taking the example in paragraph 34 on the measurement of the angles of a quadrilateral, we had for OBSERVATION EQUATIONS 2 1 = weight 3 2 2 1 for the CONDITION EQUATION Zl -L. Z 2 _|_ 2j5 _j_ z 4 4. 58 = (B) and for the NORMAL EQUATIONS 4 zi 4- z 2 4- z 3 + 58 = *i + 3 z 2 4- z a + 58 = (C) 2l _j_ Z2 _j- 3 z s + 58 = Solving these equations for the values of the unknown quantities and also for their weights, we have Zi = 8.
What to read after General Principles of the Method of Least Squares With Applications?
You can find similar books in the "Read Also" column, or choose other free books by Dana Prescott Bartlett to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
0144 . 16 . 0256 . 0768 . 12 -. 0144 -. 0288 . 1204 = Since in this example n = 4, n' = 1, q = 3, By (79) : :V^ : - 25 ^ == -^ . 09 u, _ = ^ = . 08 p-zt = -08 \/9. 9 COMPUTATION OF THE PRECISION MEASURES. 81 The first significant figure in the mean errors is so large that it is not worth while to retain the second place as usual.
If desired, the probable errors and average deviations can now be computed by the usual formulas.
88. In case the observations are made directly upon the values of sev...eral quantities subject to certain conditions, we have n = g, and equation (79) reduces to v=^ from which the mean error of any observation may at once be computed from its weight.
89. Example. Taking the example in paragraph 34 on the measurement of the angles of a quadrilateral, we had for OBSERVATION EQUATIONS 2 1 = weight 3 2 2 1 for the CONDITION EQUATION Zl -L. Z 2 _|_ 2j5 _j_ z 4 4. 58 = (B) and for the NORMAL EQUATIONS 4 zi 4- z 2 4- z 3 + 58 = *i + 3 z 2 4- z a + 58 = (C) 2l _j_ Z2 _j- 3 z s + 58 = Solving these equations for the values of the unknown quantities and also for their weights, we have Zi = 8.
What to read after General Principles of the Method of Least Squares With Applications?
You can find similar books in the "Read Also" column, or choose other free books by Dana Prescott Bartlett to read onlineMoreLess
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