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<!DOCTYPE ArticleSet PUBLIC "-//NLM//DTD PubMed 2.0//EN" "http://www.ncbi.nlm.nih.gov:80/entrez/query/static/PubMed.dtd">
<ArticleSet>
<Article>
<Journal>
<PublisherName>Science and Education Publishing</PublisherName>
<JournalTitle>American Journal of Numerical Analysis</JournalTitle>
<Issn>2328-7292</Issn>
<Volume>2</Volume>
<Issue>2</Issue>
<PubDate PubStatus="epublish">
<Year>2014</Year>
<Month>02</Month>
<Day>19</Day>
</PubDate>
</Journal>
<ArticleTitle>Wavelet Analysis of a Number of Prime Numbers</ArticleTitle>
<FirstPage>29</FirstPage>
<LastPage>34</LastPage>
<Language>EN</Language>
<AuthorList>
<Author>
<FirstName>P.M.</FirstName>
<LastName>Mazurkin</LastName>
<Affiliation>Doctor of Engineering Science, Professor, Academician of RANS, member of EANS, Volga Region State Technological University, Russia</Affiliation>
</Author>

</AuthorList>
<ArticleIdList>
<ArticleId IdType="pii">AJNA2014221</ArticleId>
<ArticleId IdType="doi">10.12691/ajna-2-2-1</ArticleId>
</ArticleIdList>
<History>
<PubDate PubStatus="received">
<Year>2014</Year>
<Month>01</Month>
<Day>20</Day>
</PubDate>
<PubDate PubStatus="revised">
<Year>2014</Year>
<Month>02</Month>
<Day>16</Day>
</PubDate>
<PubDate PubStatus="accepted">
<Year>2014</Year>
<Month>02</Month>
<Day>19</Day>
</PubDate>
</History>
<Abstract>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>
</Article>
</ArticleSet>
