Results 41 to 50 of about 22,960 (196)
A local limit theorem with speed of convergence for Euclidean algorithms and diophantine costs [PDF]
, 2006 For large $N$, we consider the ordinary continued fraction of $x=p/q$ with $1\le p\le q\le N$, or, equivalently, Euclid's gcd algorithm for two integers $1\le p\le q\le N$, putting the uniform distribution on the set of $p$ and $q$s.
Baladi, Viviane, Hachemi, Aïcha
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Rank zero elliptic curves induced by rational Diophantine triples [PDF]
, 2020 Rational Diophantine triples, i.e. rationals a,b,c with the property that ab+1, ac+1, bc+1 are perfect squares, are often used in construction of elliptic curves with high rank. In this paper, we consider the opposite problem and ask how small can be the
Dujella, Andrej, Mikić, Miljen
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Diophantine Sets. Part II [PDF]
Formalized Mathematics, 2019 Summary The article is the next in a series aiming to formalize the MDPR-theorem using the Mizar proof assistant [3], [6], [4]. We analyze four equations from the Diophantine standpoint that are crucial in the bounded quantifier theorem, that is used in one of the approaches to solve the problem.
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Журнал Белорусского государственного университета: Математика, информатика, 2021 The article is devoted to the latest results in metric theory of Diophantine approximation. One of the first major result in area of number theory was a theorem by academician Jonas Kubilius. This paper is dedicated to centenary of his birth.
Victor V. Beresnevich +4 more
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ADVANCE OF SMARANDACHE APPROACH TO SOLVING SYSTEMS OF DIOPHANTlNE EQUATIONS [PDF]
, 2003 By developing F. Smarandache (algebraic) approach to solving systems of Diophantine equations we elaborate a set of new computative algorithms and analytical formulae, which may be used for fmding numerical solutions of some combinatorial and number ...
CHEBRAKOV, Y.V.
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Diophantine sets of representations
Advances in Mathematics, 2014 Let \(U\) denote the universal enveloping algebra of \(\text{sl}(2,k)\) where \(\text{char}(k)=0\). Given a pp-pair \(\phi/\psi\) in the language of \(U\)-modules, the support of \(\phi/\psi\) on the finite-dimensional \(U\)-representations is the set of natural numbers \(n\) such that \(F(L(n))\neq 0\).
I. Herzog, L'INNOCENTE, Sonia
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Advances in Mechanical Engineering, 2023 Numerous real-world applications can be solved using the broadly adopted notions of intuitionistic fuzzy sets, Pythagorean fuzzy sets, and q-rung orthopair fuzzy sets.
Mudassir Shams +3 more
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Mathematics, 2022 We introduce the notion of the interval-valued linear Diophantine fuzzy set, which is a generalized fuzzy model for providing more accurate information, particularly in emergency decision-making, with the help of intervals of membership grades and non ...
Muhammad Riaz +3 more
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Finiteness results for Diophantine triples with repdigit values [PDF]
, 2015 Let $g\ge 2$ be an integer and $\mathcal R_g\subset \mathbb N$ be the set of repdigits in base $g$. Let $\mathcal D_g$ be the set of Diophantine triples with values in $\mathcal R_g$; that is, $\mathcal D_g$ is the set of all triples $(a,b,c)\in \mathbb ...
Bérczes, Attila +3 more
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IEEE Access, 2023 One of the purposes of fuzzy set theory is to overcome the uncertainties in the problems of multi-criteria decision-making (MCDM) via membership functions. But the fuzzy set theory has own limitations. To remove the limitations on membership functions of
Ali Aydogdu
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