Results 21 to 30 of about 33,591 (180)
The integer solutions of the cubic Diophantine equation x3±33=pqy2
Xi'an Gongcheng Daxue xuebao, 2021 The solvability of a class of cubic Diophantine equations is studied by using properties of congruence, Legendre symbol and the methods of elementary number theory.
Heng LI, Hai YANG, Yongliang LUO
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On the solution of the exponential Diophantine equation 2x+m2y=z2, for any positive integer m [PDF]
Journal of Hyperstructures, 2023 It is well known that the exponential Diophantine equation 2x+ 1=z2 has the unique solution x=3 and z=3 innon-negative integers, which is closely related to the Catlan's conjecture.
Mridul Dutta, Padma Bhushan Borah
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Linear Diophantine Fuzzy Einstein Aggregation Operators for Multi-Criteria Decision-Making Problems
Journal of Mathematics, 2021 The linear Diophantine fuzzy set (LDFS) has been proved to be an efficient tool in expressing decision maker (DM) evaluation values in multicriteria decision-making (MCDM) procedure.
Aiyared Iampan +4 more
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Neutrosophic Linear Diophantine Equations with Two Variables [PDF]
Neutrosophic Sets and Systems, 2020 This paper studies for the first time the neutrosophic linear Diophantine equations with two variables in the neutrosophic ring of integers, and refined neutrosophic ring of integers.
Hasan Sankari, Mohammad Abobala
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The extensibility of the Diophantine triple {2, b, c}
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 The aim of this paper is to consider the extensibility of the Diophantine triple {2, b, c}, where 2 < b < c, and to prove that such a set cannot be extended to an irregular Diophantine quadruple.
Adžaga Nikola +2 more
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From Diophantian Equations to Matrix Equations (III) - Other Diophantian Quadratic Equations and Diophantian Equations of Higher Degree [PDF]
Educaţia 21, 2023 In this paper, we propose to continue the steps started in the first two papers with the same generic title and symbolically denoted by (I) and (II), namely, the presentation of ways of achieving a systemic vision on a certain mathematical notional ...
Teodor Dumitru Vălcan
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Basic Diophantine Relations [PDF]
Formalized Mathematics, 2018 Summary The main purpose of formalization is to prove that two equations y a ( z )= y , y = xz are Diophantine ...
Acewicz, Marcin, Pąk, Karol
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Gaussian Integer Solutions of the Diophantine Equation x^4+y^4=z^3 for x≠ y
مجلة بغداد للعلوم, 2023 The investigation of determining solutions for the Diophantine equation over the Gaussian integer ring for the specific case of is discussed.
Shahrina Ismail +3 more
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The Euclid Algorithm is totally gaussian [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We consider Euclid’s gcd algorithm for two integers $(p, q)$ with $1 \leq p \leq q \leq N$, with the uniform distribution on input pairs. We study the distribution of the total cost of execution of the algorithm for an additive cost function $d$ on the ...
Brigitte Vallée
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IEEE Access, 2021 Hamacher aggregation operators are more flexible and more dominant to determine the interrelationships between any number of attributes. The goal of this manuscript is to elaborate on the principle of linear Diophantine uncertain linguistic sets and ...
Izatmand +4 more
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