chronology
发表于 2025-3-25 05:40:47
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fastness
发表于 2025-3-25 09:57:42
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宴会
发表于 2025-3-25 13:26:17
Means and Means of MeansWe shall confine ourselves to unweighted and weighted arithmetic means as issued by the method of least squares.
Insubordinate
发表于 2025-3-25 19:43:07
Functions of Erroneous VariablesTo assess the influence of measurement errors propagated via functions, we confine ourselves to linearized series expansions. From there, we expect the functions to behave sufficiently smooth throughout a neighborhood of the expansion point. Also, the measuring errors themselves should not exceed reasonable sizes.
Formidable
发表于 2025-3-25 22:05:45
Method of Least SquaresThe method of least squares controls the flow of errors via the elements of the design matrix. Hence, assuming linear systems with differing design matrices aiming at the same set of unknowns, the adjustment’s uncertainties would differ even if the uncertainties of the input data were the same.
泥沼
发表于 2025-3-26 01:00:47
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Canopy
发表于 2025-3-26 08:20:53
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outer-ear
发表于 2025-3-26 09:43:11
PreliminariesThe fitting of straight lines is based on data pairs
foreign
发表于 2025-3-26 15:34:34
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无可争辩
发表于 2025-3-26 17:13:48
Straight Lines: Case (ii)Case (ii), Table 12.1 assumes correct abscissas and repeatedly measured ordinates. As now the empirical variances of the ordinates are directly accessible the scattering of the random errors may vary from ordinate to ordinate.