Volume 14, Issue 5, October 2025

  • Research Article

    On the Conditions of Ensuring Uniform Almost Periodic Functions of the Class of Entire Functions

    Talbakzoda Farhodjon Mahmadsho*

    Issue: Volume 14, Issue 5, October 2025
    Pages: 106-113
    Received: 28 May 2025
    Accepted: 13 June 2025
    Published: 9 September 2025
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    Abstract: The study of almost periodic functions occupies an important place in functional analysis and the theory of differential equations, beginning with the classical works of H. Bohr, A. S. Besikovich and B. M. Levitan. Almost periodic functions, being a generalization of periodic functions, are characterized by the fact that they retain their structure... Show More
  • Research Article

    Machine Learning (ML) and Artificial Intelligence (AI) Approaches to Unstructured Data

    Farha Khan*, Pratima Ojha, Ghizal Firdous Ansari

    Issue: Volume 14, Issue 5, October 2025
    Pages: 114-119
    Received: 20 July 2025
    Accepted: 12 August 2025
    Published: 25 September 2025
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    Abstract: This study explores the application of machine learning (ML) and artificial intelligence (AI) techniques to analyze unstructured textual data, focusing on topic modeling, sentiment detection, and behavioral prediction. We employ multinomial document models and unsupervised learning strategies to extract latent topics and evaluate the emotional and ... Show More
  • Research Article

    Computational Models for (M, K)-Quasi-*-Parahyponormal Operators

    Kiratu Beth*, Ngoci Abishag, Obiero Ben

    Issue: Volume 14, Issue 5, October 2025
    Pages: 120-129
    Received: 7 August 2025
    Accepted: 25 August 2025
    Published: 25 September 2025
    DOI: 10.11648/j.pamj.20251405.13
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    Abstract: We study the two-parameter class of (M, k)-Quasi-∗-Parahyponormal operators on separable Hilbert spaces, which strictly enlarges the traditional parahyponormal and paranormal hierarchies. Analytically we prove three fundamental results: Every operator in the class has finite ascent and enjoys the single-valued extension property (SVEP); The Browder... Show More
  • Research Article

    Pointwis Biflatness as an Extension of Banach Algebras

    Majid Ghorbani*, Davood Ebrahimi Bagha

    Issue: Volume 14, Issue 5, October 2025
    Pages: 130-134
    Received: 1 September 2025
    Accepted: 12 September 2025
    Published: 22 October 2025
    DOI: 10.11648/j.pamj.20251405.14
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    Abstract: In this paper, we introduce and systematically study the concept of pointwise biflatness in Banach algebras, which generalizes classical biflatness by localizing the homological structure to individual elements. Unlike global biflatness, this localized approach captures finer algebraic and module-theoretic behaviors that remain invisible under clas... Show More
  • Research Article

    Same Values Analysis Attack over Binary Elliptic Curves

    Aubain Jose Mayeukeu*, Emmanuel Fouotsa, Celestin Lele

    Issue: Volume 14, Issue 5, October 2025
    Pages: 135-156
    Received: 6 August 2025
    Accepted: 21 August 2025
    Published: 22 October 2025
    DOI: 10.11648/j.pamj.20251405.15
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    Abstract: In this work, we are interested in studying a particular class of Side Channel Attacks on elliptic curves defined over binary fields. Side Channel Attacks exploit physical leakages such as power consumption or electromagnetic emanations during cryptographic computations in order to recover secret information. Among these attacks, the one we focus o... Show More
  • Research Article

    On a Family of Congruent Numbers Defined Modulo 72: A Conjectural Study

    Kouakou Kouassi Vincent*

    Issue: Volume 14, Issue 5, October 2025
    Pages: 157-160
    Received: 14 September 2025
    Accepted: 18 October 2025
    Published: 22 October 2025
    DOI: 10.11648/j.pamj.20251405.16
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    Abstract: We investigate the interplay between the Chinese Remainder Theorem and the theory of congruent numbers through a modular approach to expressing integers as sums of three cubes. By analyzing congruence systems arising from specific residue classes modulo 8 and modulo 9, we classify the possible integers likely to be representable as sums of cubes ba... Show More