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Combinatorial Diophantine equations
Publicationes Mathematicae Debrecen, 2000For a positive integer \(k\) let \(P_k(x)=x(x+1)\ldots (x+k-1)\) and \(S_k(x)=1^k+2^k+\ldots +x^k\). In the paper the following Diophantine equations are solved (or resolved): \(P_6(x)=P_4(y)\), \(P_6(x)={y\choose 2}\), \(P_6(x)={y\choose 4}\), \({x\choose 3}=P_2(y)\), \({x\choose 3}=P_4(y)\), \({x\choose 6}=P_2(y)\), \({x\choose 6}=P_4(y)\), \({x ...
Hajdu, L., Pintér, Á.
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On simultaneous diophantine approximations. Vectors of given diophantine type
Mathematical Notes, 1997Let \(\psi(y)\) 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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Linear Diophantine fuzzy algebraic structures
Journal of Ambient Intelligence and Humanized Computing, 2021Huseyin Kamaci, Kamaci Huseyin
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17th Annual Symposium on Foundations of Computer Science (sfcs 1976), 1976
Leonard M. Adleman, Kenneth L. Manders
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Leonard M. Adleman, Kenneth L. Manders
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(p, q)-Rung linear Diophantine fuzzy sets and their application in decision-making
Computational and Applied Mathematics, 2023Pairote Yiarayong, Yiarayong Pairote
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Linear Diophantine Fuzzy Rough Sets: A New Rough Set Approach with Decision Making
Symmetry, 2022Muhammad Riaz +2 more
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Linear Diophantine Fuzzy Relations and Their Algebraic Properties with Decision Making
Symmetry, 2021Muhammad Riaz +2 more
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Diophantine m-tuples in finite fields and modular forms
Research in Number Theory, 2021Andrej Dujella +2 more
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Linear Diophantine Fuzzy Set Theory Applied to BCK/BCI-Algebras
Mathematics, 2022Sárka Hoskova-Mayerova +2 more
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