Results 181 to 190 of about 580,253 (234)

Manipulating the Generation of Photonic Moiré Lattices Using Plasmonic Metasurfaces. [PDF]

open access: yesNanomaterials (Basel)
Mu Z   +8 more
europepmc   +1 more source

A forward approach for solving linear Diophantine equation

International Journal of Mathematical Education in Science and Technology, 2020
A simple forward approach for solving linear Diophantine equations is presented, which does not involve using backward substitutions. It is suitable for teaching undergraduate students as an alternative to the backward substitution method commonly ...
Man Yiu Kwong
exaly   +2 more sources

Image Encryption Algorithm Based on Piece Wise Linear Chaotic Map Integration With Linear Diophantine Equation

2019 International Conference on Information Technology and Computer Application (ITCA), 2019
The current chaotic encryption system generally uses a fixed scrambling and diffusion key for encryption, which leads to low efficiency and security. This paper designs a fast image encryption method based on Linear Diophantine equation by constructing a
Hongtao Zhang
exaly   +2 more sources

Necessary and Sufficient Conditions for Hamiltonian Based on Linear Diophantine Equation Systems with Cycle Vector [PDF]

open access: yes2009 Third International Conference on Genetic and Evolutionary Computing, 2009
Two necessary and sufficient conditions are presented for Hamiltonian cycle problem in simple undirected graph using linear Diophantine equation systems with cycle vector. The first one is based on the incidence matrix and the second one is based on edge-
Guohun Zhu
exaly   +3 more sources

Diophantine Equation and the Euclidean Algorithm: Methods and Philosophy of the Algebraic Approach to Linear Multivariable Control [Lecture Notes]

IEEE Control Systems
The story behind the Euclidean algorithm and its relationship to the solution of the Diophantine equation is examined in this article. The Euclidean algorithm appears in Proposition 2 in Book 7 of Euclid’s The Elements.
Antonis Ioannis Vardulakis
exaly   +2 more sources

A Note on the Linear Diophantine Equation

The American Mathematical Monthly, 1941
(1941). A Note on the Linear Diophantine Equation. The American Mathematical Monthly: Vol. 48, No. 10, pp. 662-666.
D. Lehmer
semanticscholar   +4 more sources

On the Number of Solutions to Linear Diophantine Equation and Frobenius Problem

Computational Mathematics and Mathematical Physics, 2022
Leont'Ev V K, V K Leont'Ev
exaly   +2 more sources

Solution to a Linear Diophantine Equation for Nonnegative Integers

Journal of Algorithms, 1988
The following problem is considered: Find integers x,y,z\(\geq 0\) that satisfy \(ax+by+cz=L\) or determine that no solution exists ...
H. Greenberg
semanticscholar   +3 more sources

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