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On commuting conditions of semirings with involution
Liaqat Ali,Muhammad Aslam,Mawahib Elamin,Huda Uones Mohamed Ahamd,Newma Yahia,Laxmi Rathour 한국전산응용수학회 2024 Journal of applied mathematics & informatics Vol.42 No.2
In this research article, we study a class of semirings with involution. Differential identities involving two or three derivations of a semiring with second kind involution are investigated. It is analyzed that how these identities, with a special role for second kind involution, bring commutativity to semirings.
Ibrahim Abbas,M. Saif AlDien,Mawahib Elamin,Alaa El-Bary Techno-Press 2024 Coupled systems mechanics Vol.13 No.1
This study seeks to develop analytical solutions for the biothermoelastic model without accounting for energy dissipation. These solutions are then applied to estimate the temperature changes induced by external heating sources by integrating relevant empirical data characterizing the biological tissue of interest. The distributions of temperature, displacement, and strain were obtained by utilizing the eigenvalues approach with the Laplace transforms and numerical inverse transforms method. The impacts of the rate of blood perfusion and the metabolic activity parameter on thermoelastic behaviors were discussed specifically. The temperature, displacement, and thermal strain results are visually represented through graphical representations.