Pure and Applied Mathematics Journal

Volume 14, Issue 2, April 2025

  • Research Article

    Implementation of a Voting Method Based on Mean-Deviation Evaluation for a Large-Scale Election

    Hadarou Yiogo*, Zoïnabo Savadogo

    Issue: Volume 14, Issue 2, April 2025
    Pages: 13-23
    Received: 7 March 2025
    Accepted: 17 March 2025
    Published: 10 April 2025
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    Abstract: Today, many countries around the world, particularly in Africa, are experiencing post-election difficulties due to unexpected election results. This sometimes provokes protests and revolt among the population. To overcome this major problem, several voting systems have been developed in the literature, but some of them are not lacking in shortcomin... Show More
  • Research Article

    Sharpness of the Segre’s Upper Bound for the Regularity Index of Fat Points

    Phan Van Thien*

    Issue: Volume 14, Issue 2, April 2025
    Pages: 24-28
    Received: 11 March 2025
    Accepted: 25 March 2025
    Published: 6 May 2025
    DOI: 10.11648/j.pamj.20251402.12
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    Abstract: In this paper we show some results about estimating the regularity index of fat points and study when the Segre’s upper bound is sharp for arbitrary fat points in 𝕡n. We show that the Segre’s upper bound is sharp for fat points where the points are constrained by geometric conditions in 𝕡n (Corollary 2.1 and Proposition 2.1). We sho... Show More