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 in | Neutrosophic sets and systems Vol. 59; no. SI; pp. 153 - 171 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
Neutrosophic Sets and Systems
01.11.2023
University of New Mexico |
Subjects | |
Online Access | Get full text |
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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 |
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ISSN: | 2331-6055 2331-608X |
DOI: | 10.5281/zenodo.10031190 |