Results 91 to 100 of about 3,886,089 (197)
AN AUTHENTICATION METHOD BASED ON A DIOPHANTINE MODEL OF THE COIN BAG PROBLEM
Applied Computer ScienceThe article presents the so-called coin bag problem, which is modeled by linear Diophantine equations. The problem in question involves assessing the contents of a set of coins based on its weight.
Krzysztof NIEMIEC, Grzegorz BOCEWICZ
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On sums of k-generalized Fibonacci and k-generalized Lucas numbers as first and second kinds of Thabit numbers [PDF]
Notes on Number Theory and Discrete MathematicsLet (Fᵣ⁽ᵏ⁾)ᵣ≥2-k and (Lᵣ⁽ᵏ⁾)ᵣ≥2-k be generalizations of the Fibonacci and Lucas sequences, where k≥2. For these sequences the initial k terms are 0,0,...,0, 1 and 0,0,...,2,1, and each subsequent term is the sum of the preceding k terms.
Hunar Sherzad Taher, Saroj Kumar Dash
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Discrete Mathematics, 1975 AbstractIn this paper we present necessary and sufficient conditions for the existence of solutions to more general systems of linear diophantine equations and inequalities than have previously been considered. We do this in terms of variants and extensions of generalized inverse concepts which also permit us to give representation of the set of all ...
Abraham Charnes, Frieda Granot
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A note on equivalent systems of linear diophantine equations [PDF]
Zeitschrift für Operations Research, 1973 Another constructive proof is presented for the fact that a system of linear equations with integer coefficients in bounded integer variables is equivalent to a single equation, which is a linear combination of the original ones. The equation is obtained in a number of steps; in each step two equations are replaced by a single one.
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Diophantine Equations Related to Linear Recurrence Sequences
, 2021 The aim of this dissertation is to investigate the solutions of some Diophantine equations connected to linear recurrence sequences. We firstly study the integer solutions of Diophantine equations related to reciprocals and repdigits with linear ...
Hashim, Hayder Raheem
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SOLUTIONS OF SOME LINEAR DIOPHANTINE EQUATIONS
, 2017 This paper concerns with the problem of obtaining solutions of some linear Diophantine ...
P. Reka
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On the Two-Term Zeckendorf Representations of the Padovan and Perrin Sequences
Journal of Applied MathematicsIn this paper, we completely solve the Diophantine equations Pm=Fn+Fk and Em=Fn+Fk under the condition n≥k+2≥4, where Pm is the m-th Padovan number, Em is the m-th Perrin number, and Fk is the k-th Fibonacci number.
Awaou Lare Ousseni +3 more
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Dyna, 2014 El presente artículo propone utilizar una versión discreta del bien conocido algoritmo metaheurístico de optimización por enjambre de partículas, DPSO, para solucionar numéricamente un sistema de ecuaciones Diofánticas lineales.
Iván Amaya, Luis Gómez, Rodrigo Correa
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Existence of KAM tori for presymplectic vector fields
Electronic Journal of Differential Equations, 2020 We prove the existence of a torus that is invariant with respect to the flow of a vector field that preserves the presymplectic form in an exact presymplectic manifold.
Sean Bauer, Nikola P. Petrov
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