DIY History | Transcribe | Scholarship at Iowa | Theory of least squares applied to the problems arising in our observatory by Arthur George Smith, 1895 | Theory of Least Squares Applied to the Problems Arising in our Observatory by Arthur George Smith, 1895, Page 33

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Theory of least squares applied to the problems arising in our observatory by Arthur George Smith, 1895

Theory of Least Squares Applied to the Problems Arising in our Observatory by Arthur George Smith, 1895, Page 33

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is shown by observed value [underlined]i[/underlined] has been affected with the weight the square of the reciprocal of its mean error, and also the number of intervals entering into this mean [strikethrough]error.[/strikethrough] interval.                     The weighted in general mean is found, page 61 to be 32[superscript]s[/superscript],531                    The mean error of this general mean is also found upon the same page to be +- .0[superscript]s[/superscript],018 and the probable error 0[superscript]s[/superscript].012                                  This interval from A - B represents 6 intervals of the value [?from?] D[subscript]1[/subscript] - D[subscript]2[/subscript] : therefore an interval from D[subscript]1[/subscript] - D[subscript][?n?][/subscript] = 5.422 +- 0[superscript]s[/superscript].005                    With a mean error +-0[superscript]s[/superscript].008 and a probable error of 0[superscript]s[/superscript],005                      This last error found as upon page 11        Azimuth Problem.      [?Hand?] unit interval transit reticule = 5[superscript]s[/superscript],422+-0[superscript]s[/superscript].005, most probable value.

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[??need to fix the . and , and the superscript and subscript symbols??] is shown by observed value [underlined]i[/underlined] has been affected with the weight the square of the reciprocal of its mean error, and also the number of intervals entering into this mean [strikethrough]error.[/strikethrough] interval. The weighted in general mean is found, page 61 to be 32[superscript]s[/superscript],531 The mean error of this general mean is also found upon the same page to be +- .0[superscript]s[/superscript],018 and the probable error 0[superscript]s[/superscript].012 This interval from A - B represents 6 intervals of the value [?from?] D[subscript]1[/subscript] - D[subscript]2[/subscript] : therefore an interval from D[subscript]1[/subscript] - D[subscript][?n?][/subscript] = 5.422 +- 0[superscript]s[/superscript].005 With a mean error +-0[superscript]s[/superscript].008 and a probable error of 0[superscript]s[/superscript],005 This last error found as upon page 11 Azimuth Problem. [?Hand?] unit interval transit reticule = 5[superscript]s[/superscript],422+-0[superscript]s[/superscript].005, most probable value.