1Doctor of Engineering Science, Professor, Academician of RANS, member of EANS, Volga Region State Technological University, Russia
American Journal of Numerical Analysis.
2014,
Vol. 2 No. 2, 29-34
DOI: 10.12691/ajna-2-2-1
Copyright © 2014 Science and Education PublishingCite this paper: P.M. Mazurkin. Wavelet Analysis of a Number of Prime Numbers.
American Journal of Numerical Analysis. 2014; 2(2):29-34. doi: 10.12691/ajna-2-2-1.
Correspondence to: P.M. Mazurkin, Doctor of Engineering Science, Professor, Academician of RANS, member of EANS, Volga Region State Technological University, Russia. Email:
kaf_po@mail.ruAbstract
We adhere to the concepts of Descartes, the need to apply algebraic equations directly as a final decision. The concept of wavelet signal allows to abstract from an unknown number of primes of a physical quantity. Any number of primes can be decomposed into a finite set of asymmetric wavelets with variable amplitude and frequency. For example, taken a number of A000040. The first term of the total number of model А000040 according to the law of exponential growth is the contribution of the absolute error 97,53 %. The first member of the general model of a number of А000040 on the law of exponential growth is the contribution of the absolute error 97,53 %. The remaining 35 wavelets amount to a total of 2.47 %. But their influence on the number of primes very significant. It is proved that any type of fnite-dimensional number of primes can be decomposed into a fnite-dimensional set of asymmetric wavelets with variable amplitude and frequency of oscillatory perturbations.
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