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Pure and Applied Mathematics Journal

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Volume 13, Issue 1, February 2024

  • Research Article

    On Fuzzy Baire-Separated Spaces and Related Concepts

    Ganesan Thangaraj*, Natarajan Raji

    Issue: Volume 13, Issue 1, February 2024
    Pages: 1-8
    Received: 22 January 2024
    Accepted: 27 February 2024
    Published: 20 March 2024
    DOI: 10.11648/j.pamj.20241301.11
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    Abstract: In this paper, a new class of fuzzy topological spaces, namely fuzzy Baire-separated spaces is introduced in terms of fuzzy Baire sets. Several characterizations of fuzzy Baire-separated spaces are established. It is shown that fuzzy Baire sets lie between disjoint fuzzy P-sets and fuzzy Fσ- sets in a fuzzy Baire-separated space. Conditions under w... Show More
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  • Research Article

    Maximizing Efficiency in the Computation of Generalized Harmonic Numbers Through Recursive Binary Splitting

    Oscar Luis Palacios-Vélez, Felipe José Antonio Pedraza-Oropeza*

    Issue: Volume 13, Issue 1, February 2024
    Pages: 9-16
    Received: 22 January 2024
    Accepted: 2 April 2024
    Published: 21 April 2024
    DOI: 10.11648/j.pamj.20241301.12
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    Abstract: In this article, an efficient algorithm is implemented in Mathematica for the exact calculation of Generalized Harmonic Numbers (GHN). This is achieved through the combination of two methods. The first method is binary division, where terms formed by the powers of the reciprocals of odd and even numbers are summed separately. The second method is a... Show More
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