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

### 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.

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*Ukrainian Journal of Physics*,

*62*(2), 184. https://doi.org/10.15407/ujpe62.02.0184