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Constrained least-squares analysis of petrologic problems with an application to lunar sample 12040. (1973)

Albee, A. L. ; Reid, M. J. ; Gancarz, A. J.

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Publication Date: 2019-06-27

Description: Many petrologic problems, which may be expressed as a set of linear equations, have been solved by least-squares analysis. In many cases insufficient attention has been paid to the physical conditions of the model resulting in incorrect application of the method. This paper presents a systematic treatment of the application of least-squares analysis to petrologic problems including the direct utilization of physical constraints and weighting factors in the problem, and the assessment of uncertainties in the solution. As an example, least-squares analysis is used to examine, in detail, the mass balance equations for lunar rock 12040 and to determine the consistency of the available analytical data.

Keywords: CHEMISTRY

Type: Earth and Planetary Science Letters; 17; 2, Ja; Jan. 197

Format: text

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