Abstract
During diagnostic thresholds research, sequence of numbers emerging from proper measurements, are analysed. These are sequences characterizing environment (e.g. amount of hours worked sequence x and sequence of numbers emerging from diagnostic signal measurement sequence y). Hence, two sequences exist: {x0, x1,, xm} and {y0, y1,, ym}. Relation between these sequences might be determined by Cauchy product. The Cauchy product can significantly expand opportunities of applications of signal processing and analysis. Auto and cross Cauchy products of signals as well as quotients and subtraction result of the diagnostic and environment signals, for the standard condition and the condition resulting from the current diagnosis can be determined. These allow to make diagnostics more precise, particularly in case of small number of measurements, and low accuracy of the diagnostics thresholds determined from them.
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