On The Conditions for Symbolic 3-Plithogenic Pythagoras Quadruples

The objective of this paper is to find the necessary and sufficient conditions for a symbolic 3-plithogenic quadruple [Please download the PDF to view the mathematical expression] to be a Pythagoras quadruple, i.e. to be a solution for the non-linear Diophantine equation in four variables [X.sup.2]...

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Published inNeutrosophic sets and systems Vol. 59; no. SI; pp. 153 - 171
Main Authors Alfahal, Abuobida Mohammed A, Ahmad Alhasan, Yaser, Abdullah Abdulfatah, Raja, Sawalmeh, Sara
Format Journal Article
LanguageEnglish
Published Neutrosophic Sets and Systems 01.11.2023
University of New Mexico
Subjects
pythagoras diophantine equation
pythagoras quadruple
symbolic 3-plithogenic ring
Saudi Arabia
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Summary:The objective of this paper is to find the necessary and sufficient conditions for a symbolic 3-plithogenic quadruple [Please download the PDF to view the mathematical expression] to be a Pythagoras quadruple, i.e. to be a solution for the non-linear Diophantine equation in four variables [X.sup.2] + [Y.sup.2] + [Z.sup.2] = [T.sup.2]. Also, many examples will be illustrated and presented to explain how the theorems work. Keywords: symbolic 3-plithogenic ring, Pythagoras quadruple, Pythagoras Diophantine equation
ISSN:2331-6055
2331-608X
DOI:10.5281/zenodo.10031190