Results 101 to 110 of about 33,591 (180)

On the Existence of Solutions of Diophantine Equations Related to Subbalancing Numbers

Journal of Mathematics
In this paper, we introduce a new sequence of subbalancing numbers by considering balancing numbers as the values of D in the Diophantine equations provided by subbalancing numbers.
Selin Sarı, Gül Karadeniz-Gözeri
doaj   +1 more source

Symmetric Diophantine Equations

Rocky Mountain Journal of Mathematics, 2004
The author describes a method to obtain infinite parametric solutions of some Diophantine equations of type \(f(x,y)=f(u,v)\) where \(f\) is a form (usually the product of some linear and quadratic forms) with rational coefficients. The main idea is to apply a non-singular linear transformation \(x=\alpha u+\beta v\), \(y=\gamma u+\delta v\) such that ...
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Isolated Diophantine Numbers

Regular and Chaotic Dynamics
AbstractIn this note, we discuss the topology of Diophantine numbers, giving simple explicit examples of Diophantine isolated numbers (among those with the same Diophantine constants), showing that Diophantine sets are not always Cantor sets.General properties of isolated Diophantine numbers are also briefly discussed.
Argentieri, Fernando, Chierchia, Luigi
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Diophantine Solutions Based Permutation for Image Encryption

Journal of Algorithms & Computational Technology, 2013
A permutation technique based on the resolution of the system of three independent Diophantine equations is presented. Each Diophantine equation parameters are two positive integers generated from a chaotic system.
J. S. Armand Eyebe Fouda, J. Yves Effa, Bertrand Bodo, Maaruf Ali   +3 more
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Spherical Linear Diophantine Fuzzy Graphs: Unleashing the Power of Fuzzy Logic for Uncertainty Modeling and Real-World Applications

Axioms
The theory of spherical linear Diophantine fuzzy sets (SLDFS) boasts several advantages over existing fuzzy set (FS) theories such as Picture fuzzy sets (PFS), spherical fuzzy sets (SFS), and T-spherical fuzzy sets (T-SFS).
Mani Parimala, Saeid Jafari
doaj   +1 more source

Fuzzy MABAC Deep Learning for Diagnosis of Alzheimers Disease: Analysis of Complex Propositional Linear Diophantine Fuzzy Power Aggregation Insights

Transactions on Fuzzy Sets and Systems
 Alzheimers disease is an unpredictable and progressive neurodegenerative disorder that initially affects memory thinking and behavior. Some key features of Alzheimers disease are memory loss, cognitive decline, behavioral changes, disorientation ...
Zeeshan Ali
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Counting Diophantine Approximations

Functiones et Approximatio Commentarii Mathematici, 2008
A recent development of the Davenport-Heilbronn method for diophantine inequalities is reexamined, and then applied to a class of problems in diophantine approximation. Among other things, an asymptotic formula is obtained for the number of solutions of the simultaneous inequalities $|n_j - \lambda_j n_0|
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Solving Rank One Perturbed Linear Diophantine Systems Using the Hermite Normal Form

Journal of Mathematical Extension, 2013
We show how we can obtain the general solution of rank one perturbed linear Diophantine systems (A + uvT )x = b using only information from the application of the Hermite normal form algorithm to the corresponding linear Diophantine system Ax = b ...
M. Khorramizadeh
doaj  

Diophantine systems [PDF]

Pacific Journal of Mathematics, 1967
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Asymptotic Diophantine Approximations [PDF]

Proceedings of the National Academy of Sciences, 1966
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