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The Euclid Algorithm is totally gaussian [PDF]

open access: yesDiscrete 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
doaj   +1 more source

Generalized Hamacher Aggregation Operators Based on Linear Diophantine Uncertain Linguistic Setting and Their Applications in Decision-Making Problems

open access: yesIEEE 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
doaj   +1 more source

Solution to a pair of linear, two-variable, Diophantine equations with coprime coefficients from balancing and Lucas-balancing numbers [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics, 2023
Let Bₙ and Cₙ be the n-th balancing and Lucas-balancing numbers, respectively. We consider the Diophantine equations ax + by = (1/2)(a - 1)(b - 1) and 1 + ax + by = (1/2)(a - 1)(b - 1) for (a,b) ∈ {(Bₙ,Bₙ₊₁), (B₂ₙ₋₁,B₂ₙ₊₁), (Bₙ,Cₙ), (Cₙ,Cₙ₊₁)} and ...
R. K. Davala
doaj   +1 more source

Gaussian Integer Solutions of the Diophantine Equation x^4+y^4=z^3 for x≠ y

open access: yesمجلة 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
doaj   +1 more source

On a Diophantine Problem [PDF]

open access: yesCanadian Journal of Mathematics, 1957
If a1, a2, … , ak are relatively prime positive integers then the equationalways has solutions in non-negative xi for n sufficiently large. Sylvester called the number of non-negative solutions of (1) the denumerant of the equation.
openaire   +1 more source

On an diophantine equation [PDF]

open access: yesBulletin of the Australian Mathematical Society, 2000
In this note, we find all solutions of the diophatine equation x2 + 3m = yn, where (x, y, m, n) are non-negative integers with x ≠ 0 and n ≥ 3.
openaire   +1 more source

Diophantine integrability [PDF]

open access: yesJournal of Physics A: Mathematical and General, 2005
6 pages, 4 ...
openaire   +2 more sources

On Diophantine transference principles [PDF]

open access: yes, 2018
We provide an extension of the transference results of Beresnevich and Velani connecting homogeneous and inhomogeneous Diophantine approximation on manifolds and provide bounds for inhomogeneous Diophantine exponents of affine subspaces and their ...
ANTOINE MARNAT   +3 more
core   +1 more source

On some Diophantine equations [PDF]

open access: yesMiskolc Mathematical Notes, 2021
In this paper we deal with some Diophantine equations and present infinitely many positive integer solutions for each one of them.
Bujačić Babić, Sanda, Nabardi, Kamran
openaire   +5 more sources

Multi-Objective Non-Linear Programming Problems in Linear Diophantine Fuzzy Environment

open access: yesAxioms, 2023
Due to various unpredictable factors, a decision maker frequently experiences uncertainty and hesitation when dealing with real-world practical optimization problems.
Salma Iqbal   +2 more
doaj   +1 more source

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