RO  EN
IMI/Publicaţii/CSJM/Ediţii/CSJM v.23, n.1 (67), 2015/

Maximum Inaccuracies of Second Order

Authors: Kiril Kolikov, Yordan Epitropov, Corlat Andrei, Georgi Krastev
Keywords: indirectly measurable variable; maximum inaccuracy; Taylor series expansion.

Abstract

Let an indirectly measurable variable Y be represented as a function of finite number of directly measurable variables X_1, \linebreak X_2, ..., X_n. We introduce maximum absolute and relative inaccuracies of second order of Y - this idea is a continuation of our research of a new principle for representing the maximum inaccuracies of Y using the inaccuracies of X_1, X_2, ..., X_n. Using inaccuracies of second order we determine the maximum inaccuracies of indirectly measurable variable Y with quadratic approximation which gives their values more precisely. We give algorithmically an easily applicable method for determining their numerical values. The defined by us maximum inaccuracies of second order give the opportunity for more precise determination of the inaccuracy when measuring indirectly measurable variables.

Kiril Kolikov
Plovdiv University "P. Hilendarski"
24 Tzar Asen Street, 4000 Plovdiv, Bulgaria
Phone: +359 886966562
E-mail:

Yordan Epitropov (the Corresponding Author)
Plovdiv University "P. Hilendarski"
24 Tzar Asen Street, 4000 Plovdiv, Bulgaria
Phone: +359 888854943
E-mail:

Andrei Corlat
Institute of Mathematics and Computer Science
Academy of Sciences of Moldova
5 Academiei str., Chisinau, MD-2028, Moldova
E-mail:

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