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A Diophantine Ramsey Theorem

Combinatorica, 2020
For a polynomial \(P \in \mathbb{Z}[x_1, \ldots ,x_s]\), the equation \(P(x_1, \ldots ,x_s)=0\) is said to be regular if, in any partition \(\mathbb{N}= A_1 \cup \cdots \cup A_r\), there is a solution to this equation with non-identical \(x_1, \ldots ,x_s \in A_i\) for some \(1 \leq i \leq r\). Let \({p} \in \mathbb{Z}[y]\).
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On simultaneous diophantine approximations. Vectors of given diophantine type

Mathematical Notes, 1997
Let \(\psi(y)\) be a real-valued function of a real argument. A positive integer \(p\) is called a simultaneous \(\psi\)-approximation for the numbers \(\alpha_1,\dots,\alpha_s\in \mathbb R\) if \[ \max_{1\leq j\leq s}\| p\alpha_j\|\leq \psi(p)\;(\text{here }\|\alpha\|= \min_{z\in \mathbb Z}| \alpha- z|). \] The numbers \(\alpha_1,\dots, \alpha_s\) are
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Diophantine complexity

17th Annual Symposium on Foundations of Computer Science (sfcs 1976), 1976
Leonard M. Adleman, Kenneth L. Manders
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Linear Diophantine Fuzzy Algebraic Structures

Journal of Ambient Intelligence and Humanized Computing, 2021
Huseyin Kamaci
exaly  

(P, Q)-Rung Linear Diophantine Fuzzy Sets and Their Application in Decision-Making

Computational and Applied Mathematics, 2023
Pairote Yiarayong
exaly  

Diophantine Triples With Largest Two Elements in Common

Periodica Mathematica Hungarica, 2021
Andrej Dujella   +2 more
exaly  

Diophantine approximation

2013
Hervé Queffélec, Martine Queffélec
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Linear Diophantine Fuzzy Rough Sets: A New Rough Set Approach With Decision Making

Symmetry, 2022
Muhammad Riaz   +2 more
exaly  

Linear Diophantine Fuzzy Relations and Their Algebraic Properties With Decision Making

Symmetry, 2021
Muhammad Riaz   +2 more
exaly  

Linear Diophantine Fuzzy Set Theory Applied to BCK/BCI-Algebras

Mathematics, 2022
Sarka Hoskova-Mayerova   +2 more
exaly  

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