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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

DOI: 10.11648/mcs.20240901.11

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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

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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

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