The method of approximation is applied to the study of mathematical peculiarities of sounds A, O, U, E, I, IU of human speech. It is found, that the half-integer frequencies (with respect to basic frequency) really exist in spectrum of these sounds as they exist for sounds Z, ZH (and their soft variants). The new phase criterions of distinguishing the different persons and different sounds are found. The dispersion of new criterions is notably less in comparison to the dispersion of former criterions. It means that the problems of computer verification of a person become notably easier. The tables and graphs illustrated new results are presented.
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