<?xml version="1.0" encoding="UTF-8"?>
<records>
<record>
<language>eng</language>
<publisher>Science and Education Publishing</publisher>
<journalTitle>American Journal of Numerical Analysis</journalTitle>
<eissn>2328-7292</eissn>
<publicationDate>2014-02-19</publicationDate>
<volume>2</volume>
<issue>2</issue>
<startPage>29</startPage>
<endPage>34</endPage>
<doi>10.12691/ajna-2-2-1</doi>
<publisherRecordId>AJNA2014221</publisherRecordId>
<documentType>article</documentType>
<title language="eng">Wavelet Analysis of a Number of Prime Numbers</title>
<authors>
<author>
<name>P.M. Mazurkin</name>
<email>kaf_po@mail.ru</email>
<affiliationId>1</affiliationId>
</author>
</authors>
<affiliationsList>
<affiliationName affiliationId="1">Doctor of Engineering Science, Professor, Academician of RANS, member of EANS, Volga Region State Technological University, Russia</affiliationName>

</affiliationsList>
<abstract language="eng">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 A000040 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 A000040 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.</abstract>
<fullTextUrl format="pdf">http://pubs.sciepub.com/ajna/2/2/1/ajna-2-2-1.pdf</fullTextUrl>
<keywords language="eng"><keyword>prime numbers</keyword>
<keyword>the family of wavelets</keyword>
<keyword>fractal levels</keyword>
</keywords>
</record>
</records>
