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Aerospace Instrument-Making

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THE SPECTRAL TRIAD OF REAL VARIABLE FUNCTION, ONE-TO-ONE CORRESPONDENCE, PROPERTIES
I.Ya. Ogurtsov

To transform real variable function – the spectral triad, particular properties are formed and proved. Property of one-to-one correspondence of spectral triad and her generator - real variable function is being extracted.Another important property for application is that the limiting state exists when extreme values of all the solutions of transforming differential equations coincide with extreme value of real variable function. The third property is dependence of maxima and minima amplitude-frequency and phase-frequency characteristics which transform linear differential equations, only on the decrements of fluctuations. Keywords: Spectral triad, property of one-to-one correspondence, extreme values, real variable function, frequency characteristics. E-mail: pahik@mail.ru

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