Propagation of Measurement Errors and Measured Means of a Physical Quantity for the Elementary Functions cos x and arccos x
DOI:
https://doi.org/10.15407/ujpe61.04.0345Keywords:
propagation of error, propagation of uncertaintyAbstract
New exact rules have been obtained for the propagation of the error and the mean value for a measured physical quantity onto another one with a functional relation of the cos x or arccos x type between those quantities. The obtained formulas are shown to provide an accurate result, if being applied to a set of data obtained in a real experiment. This is a consequence of the fact that the distribution of experimental data is inherently based on the Gaussian weight scheme. An analytical form used to present the mentioned rules (“analytical propagation rules”) and the exact character of the latter allow the processing and the analysis of experimental data to be simplified and accelerated.
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Kyiv, Ukraine
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