Pure and Applied Mathematics Journal

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Volume 5, Issue 3, June 2016

  • Region Mathematics-a New Direction in Mathematics: Part-1

    Ranjit Biswas

    Issue: Volume 5, Issue 3, June 2016
    Pages: 39-59
    Received: 23 March 2016
    Accepted: 13 April 2016
    Published: 25 April 2016
    DOI: 10.11648/j.pamj.20160503.11
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    Abstract: In this paper the author introduces a new direction in Mathematics called by “Region Mathematics” to the world mathematicians, academicians, scientists and engineers. The purpose of developing ‘Region Mathematics’ is not just for doing a generalization of the existing rich volume of classical Mathematics, but it has automatically happened so by thi... Show More
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  • Region Mathematics-a New Direction in Mathematics: Part-2

    Ranjit Biswas

    Issue: Volume 5, Issue 3, June 2016
    Pages: 60-76
    Received: 23 March 2016
    Accepted: 13 April 2016
    Published: 3 May 2016
    DOI: 10.11648/j.pamj.20160503.12
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    Abstract: This is sequel to our earlier work [11] in which we introduced a new direction in Mathematics called by “Region Mathematics”. The ‘Region Mathematics’ is a newly discovered mathematics to be viewed as a universal mathematics of super giant volume containing the existing rich volume of mathematics developed so far since the stone age of earth. To in... Show More
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  • Optimal Control and Hamiltonian System

    Estomih Shedrack Massawe

    Issue: Volume 5, Issue 3, June 2016
    Pages: 77-81
    Received: 16 April 2016
    Accepted: 28 April 2016
    Published: 10 May 2016
    DOI: 10.11648/j.pamj.20160503.13
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    Abstract: In this paper, an optimal control for Hamiltonian control systems with external variables will be formulated and analysed. Necessary and sufficient conditions which lead to Pantryagin’s principle are stated and elaborated. Finally it is shown how the Pontryagin’s principle fits very well to the theory of Hamiltonian systems. The case of Potryagin’s... Show More
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  • Arithmetic and Matricial Calculation

    Raoelina Andriambololona, Ravo Tokiniaina Ranaivoson, Wilfrid Chrysante Solofoarisina

    Issue: Volume 5, Issue 3, June 2016
    Pages: 82-86
    Received: 29 April 2016
    Accepted: 9 May 2016
    Published: 25 May 2016
    DOI: 10.11648/j.pamj.20160503.14
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    Abstract: We present a study on written numeration and arithmetic using matricial formalism for the writing of numeral basis and number. The underlying idea is simple, it consists to consider the numeral representation of number as a matrix representation of an intrinsic number in a basis which represents the numeral system. Then the matrix calculation and l... Show More
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  • Numeral System Change in Arithmetic and Matricial Formalism

    Raoelina Andriambololona, Ravo Tokiniaina Ranaivoson, Hanitriarivo Rakotoson

    Issue: Volume 5, Issue 3, June 2016
    Pages: 87-92
    Received: 12 May 2016
    Accepted: 25 May 2016
    Published: 7 June 2016
    DOI: 10.11648/j.pamj.20160503.15
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    Abstract: The main goal of this paper is to present a method to tackle the numeral system change problem using matricial formalism. In a previous work, we have described an approach which permits to use matricial formalism and matricial calculation in writing numeration and arithmetic. The present paper is focused on the study of the problem of numeral syste... Show More
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