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By Anna G. Chunovkina

Metrology is the technological know-how of measurements. it's traceable to dimension criteria, hence to the idea that of dimension accuracy, that is utilized in all average and technical sciences, in addition to in a few fields of social sciences and liberal arts. the main challenge is considered one of acquiring wisdom of the actual truth, that is saw via a prism of an assemblage of volume houses describing the objectively-real international. one of many primary initiatives of metrology is the improvement of theoretical and methodological elements of the process of having a correct wisdom with regards to gadgets and procedures of the encircling global. because of the quick improvement of knowledge applied sciences and clever dimension structures and measuring tools, in addition to to the turning out to be utilization of mathematical tools in social and organic sciences, this monograph is devoted to exhibit the elemental thought.

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In comparisons a measurand can be the value of a material measure or values of set of measures. The measures from a set can be of equal nominal values (in case of possible damages of these measures during transportation) or of significantly different nominal values; the value of a calibration coefficient of a measuring instrument; functional dependence – for example, the dependence of a calibration coefficient of a measuring instrument on a frequency. This implies the fulfillment of measurements at different frequencies.

1 Two approaches to interpreting and evaluating data of regional key comparisons 15 The NMIs participate in the realization of the MRA through the regional metrological organizations. The basic problems of the RMO comparisons are the extension of metrological equivalence to the NMIs which have not participated in CIPM key comparisons by way of conducting RMO key comparisons; the confirmation of the calibration and measurement capabilities the NMIs have claimed by conducting supplementary comparisons.

The algorithms for transforming the RMO KC results by introducing a multiplicative correction are treated in [157, 261]. x / i i 1 . 1 xi yi i/ . i xi . i D1, 1 i D 1 has been introduced. Thus, the weighted mean of all the results of the CIPM key comparisons is located in the numerator and the weighted mean of the results which the linking institutes have obtained in RMO comparisons are in the denominator. xi /. xi / 1 i i D 1, : : : , L, 2 , i/ i D L C 1, : : : , n, i 2 i i D 1, : : : , L. , These constants are determined from the condition of normalization PL 1 i D 1 by solving the linear system of equations: D D .

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