Mathematics Letters

Volume 10, Issue 1, March 2024

  • Research Article

    A Result on Odd Powers in Fermat’s Last Theorem

    Kelvin Muzundu

    Issue: Volume 10, Issue 1, April 2024
    Pages: 1-6
    Received: Dec. 05, 2023
    Accepted: Jan. 09, 2024
    Published: Jan. 23, 2024
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    Abstract: In this work, a partial proof of Fermat’s Last Theorem (FLT) relying on elementary number theory is presented. The main result asserts that when certain natural assumptions are placed on the variables involved in the equation of the statement of FLT, then FLT holds for any prime number greater than 9, and consequently for any positive integer great... Show More
  • Research Article

    Statistical Properties of Points Between Two Random Points

    Reza Habibi

    Issue: Volume 10, Issue 1, April 2024
    Pages: 7-11
    Received: Dec. 17, 2023
    Accepted: Jan. 24, 2024
    Published: Feb. 05, 2024
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    Abstract: Important inferences in statistics, economics and finance such as mixture distribution fitting in portfolio management are closely related to finding statistical properties of points between two random points. This problem is studied in the literature; however, accurate and fast approximations and Monte Carlo simulations are not well studied. This ... Show More
  • Research Article

    Deriving Mathematical Equations for Measuring the Holes of the Nay (Arabic Flute)

    Ali Mamdouh Mohamed Ahmed*

    Issue: Volume 10, Issue 1, March 2024
    Pages: 1-7
    Received: Jan. 03, 2024
    Accepted: Jan. 11, 2024
    Published: Feb. 21, 2024
    DOI: 10.11648/j.acm.20241301.11
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    Abstract: Developing and discovering things requires the process of collecting relevant data and information, which is then analyzed to draw conclusions that enable us to move from the contemplation stage to the innovation stage. It is evident that many musical instruments have undergone evolution over the decades, and this development continues to the prese... Show More