Results 31 to 40 of about 580,253 (234)
On the Symbolic 2-plithogenic Fermat's Non-Linear Diophantine Equation [PDF]
Neutrosophic Sets and Systems, 2023 This paper is dedicated to find all symbolic 2-plithogenic integer solutions for the symbolic 2-plithogenic Fermat's Diophantine equation.
Heba Alrawashdeh +2 more
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The Computing of Pythagoras Triples in Symbolic 2-Plithogenic Rings [PDF]
Neutrosophic Sets and Systems, 2023 This paper is dedicated to finding a general algorithm for generating different solutions for Pythagoras' non-linear Diophantine equation in four variables π₯ 2 + π¦ 2 = π§ 2 in symbolic 2-plithogenic rings, which are known as Pythagoras triples.
Abuobida Mohammed A. Alfahal +3 more
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Inside factorial monoids and the Cale monoid of a linear Diophantine equation [PDF]
Journal of Algebra, 2018 We prove a general structure theorem by which an inside factorial monoid can be uniquely decomposed into a factorial monoid and the related Apery set. The structure of the latter is analyzed subsequently.
P. A. Garc'ia-S'anchez +2 more
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On Pythagoras Triples in Symbolic 3-Plithogenic Rings [PDF]
Neutrosophic Sets and Systems, 2023 The objective of this paper is to find necessary and sufficient conditions for a symbolic 3-plithogenic triple (π‘0 + π‘1π1 + π‘2π2 + π‘3π3, π 0 + π 1π1 + π 2π2 + π 3π3, π0 + π1π1 + π2π2 + π3π3 ) to be a Pythagoras triple, i.e.
Abuobida Mohammed A. Alfahal +3 more
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The Frobenius Number for Jacobsthal Triples Associated with Number of Solutions
Axioms, 2023 In this paper, we find a formula for the largest integer (p-Frobenius number) such that a linear equation of non-negative integer coefficients composed of a Jacobsthal triplet has at most p representations.
Takao Komatsu, Claudio Pita-Ruiz
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Diophantine Equation in Logarithms [PDF]
, 2023 The main work of these pages is written by myself under the supervisor of Dr. Omar Kihel, pertaining to continued fractions and applications , linear form in logarithms and the solutions of Diophantine equation Fn1 + Fn2 + Fn3 + Fn4 = 6a .
Tian, Zhao
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Application of the group action approach to solving linear Diophantine equations [PDF]
ΠΠ·Π²Π΅ΡΡΠΈΡ Π‘Π°ΡΠ°ΡΠΎΠ²ΡΠΊΠΎΠ³ΠΎ ΡΠ½ΠΈΠ²Π΅ΡΡΠΈΡΠ΅ΡΠ°. ΠΠΎΠ²Π°Ρ ΡΠ΅ΡΠΈΡ: ΠΠ°ΡΠ΅ΠΌΠ°ΡΠΈΠΊΠ°. ΠΠ΅Ρ
Π°Π½ΠΈΠΊΠ°. ΠΠ½ΡΠΎΡΠΌΠ°ΡΠΈΠΊΠ°The article substantiates a method for solving linear Diophantine equations using the theory of group actions. The purpose of this paper is to introduce actions of certain groups on the set of linear Diophantine equations and to study their ...
Chistov, Ivan Sergeevich +1 more
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On the Conditions for Symbolic 3-Plithogenic Pythagoras Quadruples [PDF]
Neutrosophic Sets and Systems, 2023 The objective of this paper is to find the necessary and sufficient conditions for a symbolic 3-plithogenic quadruple (π‘0 + π‘1π1 + π‘2π2 + π‘3π3, π 0 + π 1π1 + π 2π2 + π 3π3, π0 + π1π1 + π2π2 + π3π3, π0 + π1π1 + π2π2 + π3π3 ) to be a Pythagoras quadruple, i.e.
Abuobida Mohammed A. Alfahal +3 more
doaj
Small solutions of linear Diophantine equations
Discrete Mathematics, 1986 Given a system of linear diophantine equations and let (*) \(Ax=B\) be its matrix form, where \(A=(a_{ij})\) is a \(m\times n\), \(x=(x_k)\) and \(B=(a_{k,n+1})\) are \(m\times 1\) matrices. Further, given integers \(1\leq j_1< \cdots < j_m\leq n+1\), let \(d_{j_1,\ldots, j_m} = \det (a_{i,j_r}),\) \(1\leq i,r\leq m\), \(X=\sup \{| d_{j_1,\ldots, j_m}|:
I. Borosh, M. Flahive, B. Treybig
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Penerapan Kombinatorik pada Persamaan Diophantine Linier [PDF]
, 2022 In this paper we apply combinatoric principle on linear diophantine equation. The method being used on this research is theoritic method. Generally, the linear diophantine equation is a polynomial equation. The form of equation being solved in this paper
Aβlailliyyin1, Aβlailliyyin +2 more
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