On the Conditions for Symbolic 3-Plithogenic Pythagoras Quadruples
| Autor: | Abuobida Mohammed A. Alfahal, Yaser Ahmad Alhasan, Raja Abdullah Abdulfatah, Sara Sawalmeh |
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| Jazyk: | angličtina |
| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Neutrosophic Sets and Systems, Vol 59, Pp 153-171 (2023) |
| Druh dokumentu: | article |
| ISSN: | 2331-6055 2331-608X |
| Popis: | The objective of this paper is to find the necessary and sufficient conditions for a symbolic 3-plithogenic quadruple (𝑡0 + 𝑡1𝑃1 + 𝑡2𝑃2 + 𝑡3𝑃3, 𝑠0 + 𝑠1𝑃1 + 𝑠2𝑃2 + 𝑠3𝑃3, 𝑘0 + 𝑘1𝑃1 + 𝑘2𝑃2 + 𝑘3𝑃3, 𝑙0 + 𝑙1𝑃1 + 𝑙2𝑃2 + 𝑙3𝑃3 ) to be a Pythagoras quadruple, i.e. to be a solution for the non-linear Diophantine equation in four variables 𝑋 2 + 𝑌 2 + 𝑍 2 = 𝑇 2 . Also, many examples will be illustrated and presented to explain how the theorems work. |
| Databáze: | Directory of Open Access Journals |
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