Pure and Applied Mathematics Journal

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Volume 8, Issue 2, April 2019

  • Algebra of Finite-Valued Functions: Classification of Functions and Subalgebras, Essential and Fictitious Subalgebras

    Maydim Malkov

    Issue: Volume 8, Issue 2, April 2019
    Pages: 30-36
    Received: 28 April 2019
    Accepted: 2 June 2019
    Published: 26 June 2019
    DOI: 10.11648/j.pamj.20190802.11
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    Abstract: The classification of subalgebras of every algebra of finite-valued functions is constructed. Classes of this classifications do not intersect. Each class contains subalgebras with the same number of functions in minimal basis. Class with ordinal number 0 contains subalgebras that have no basis. The class with finite ordinal number n contains subal... Show More
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  • Dynamic Analysis of a Three-dimensional Non-linear Continuous System

    Abdellah Menasri

    Issue: Volume 8, Issue 2, April 2019
    Pages: 37-46
    Received: 18 December 2018
    Accepted: 19 March 2019
    Published: 10 July 2019
    DOI: 10.11648/j.pamj.20190802.12
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    Abstract: Most physical phenomena are modeled as continuous or discrete dynamic systems of a second dimension or more, but because of the multiplicity of bifurcation parameters and the large dimension, researchers have big problems for the study of this type of systems. For this reason, this article proposes a new method that facilitates the qualitative stud... Show More
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