Analytically determining of the relative inaccuracy (error) of indirectly measurable variable and dimensionless scale characterising quality of the experiment

Abstract

In the following paper we present an easily applicable new method for analytical representation of the maximum relative inaccuracy (error) of an indirectly measurable variable f = f(x1, x2, ..., xn) as a function of the maximum relative inaccuracies (errors) of the directly measurable variables x1, x2, ..., xn. Our new approach is more adequate for the objective reality. We develop the theory of errors, which we will call with what we feel is a more precise term – theory of inaccuracies. We introduce some new terms – space of the relative inaccuracy and plane of the relative inaccuracy of f. We also define a sample plane of the ideal absolutely accurate experiment and using it we define a universal numerical characteristic – a dimensionless scale for evaluation of the quality (accuracy) of the experiment.