 | William Woolsey Johnson - 1892 - 200 pàgines
...everywhere to hold good as an axiom by the same right as that by which the arithmetical mean between several observed values of the same quantity is adopted as the most probable value." (Art. 179.) Accordingly no attempt has been made to demonstrate the principle of the arithmetical mean,... | |
 | United States. National Bureau of Standards - 1968 - 460 pàgines
...differences between the observed and computed values of the functions [observed] is a minimum, . . . must, everywhere be considered an axiom with the same...same quantity is adopted as the most probable value" (21, art. 179). But his analysis of the Method of Least Squares remains notable because he recognized... | |
 | 1969 - 488 pàgines
...differences between the observed and computed values of the functions [observed] is a minimum . . . must, everywhere be considered an axiom with the same...quantity is adopted as the most probable value” (21, art. 179) . But his analysis of the MethOd of Least Squares remains notable because he recognized... | |
 | Javier Echeverría, Andoni Ibarra, Thomas Mormann - 1992 - 448 pàgines
...(that is the method of least squares) has to pass as an axiom with the same good reasons with which the arithmetical mean of several observed values of the same quantity is chosen as the most probable value". What had Gauss said? The opinions were divided. Ellis (1850), Herschel... | |
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V", etc. is a minimum, if the same degree of accuracy is to be presumed in all the observations. This principle, which promises to be of most frequent use in all applications of the mathematics to natural philosophy, must, everywhere, be considered an... 