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Current issue   Ukr. J. Phys. 2017, Vol. 62, N 2, p.184-191
https://doi.org/10.15407/ujpe62.02.0184    Paper

Rode G.G.

Institute of Physics, Nat. Acad. of Sci. of Ukraine
(46, Prosp. Nauky, Kyiv 03680, Ukraine; e-mail: ifanrode@gmail.com)

Propagation of the Measurement Errors and Measured Means of Physical Quantities for the Elementary Functions x2 and x

Section: Physics Experiment Techniques
Original Author's Text:  Ukrainian

Abstract: Rules for the propagation of the error and mean value obtained for a measured physical quantity x onto another one, which is coupled to the former by means of the x2 or x functional relation, have been derived. Those rules are inherently based on the Gaussian weight scheme, so that they should provide correct results in the framework of the latter with discrete data, which is typical of a real physical experiment (with samplings). The obtained analytical form that represents the mentioned rules (the “analytical propagation rules”) and their exact character allow the processing and analysis of experimental data to be simplified and accelerated.

Key words: propagation of error, propagation of uncertainty.