Mathematics and Computer Science

Volume 9, Issue 1, February 2024

  • Research Article

    Analytical Results of the Motion of Oscillating Dumbbell in a Viscous Fluid

    Mohammed Mattar Al-Hatmi*, Anton Purnama

    Issue: Volume 9, Issue 1, February 2024
    Pages: 1-11
    Received: 31 December 2023
    Accepted: 24 January 2024
    Published: 5 February 2024
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    Abstract: The aim of this paper is to investigate analytically the motion of oscillating dumbbell, two micro-spheres connected by a spring, in a viscous incompressible fluid at low Reynolds number. The oscillating dumbbell consists of one conducting sphere and assumed to be actively in motion under the action of an external oscillator field while the other i... Show More
  • Research Article

    Algebraic Representation of Primes by Hybrid Factorization

    Ioannis N. M. Papadakis*

    Issue: Volume 9, Issue 1, February 2024
    Pages: 12-25
    Received: 4 February 2024
    Accepted: 27 February 2024
    Published: 20 March 2024
    DOI: 10.11648/j.mcs.20240901.12
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    Abstract: The representation of integers by prime factorization, proved by Euclid in the Fundamental Theorem of Arithmetic −also referred to as the Prime Factorization Theorem− although universal in scope, does not provide insight into the algebraic structure of primes themselves. No such insight is gained by summative prime factorization either, where a num... Show More