Results 41 to 50 of about 6,093,714 (175)
Multiplicative structure of shifted multiplicative subgroups and its applications to Diophantine tuples [PDF]
Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2023 In this paper, we investigate the multiplicative structure of a shifted multiplicative subgroup and its connections with additive combinatorics and the theory of Diophantine equations.
Seoyoung Kim, Chi Hoi Yip, Semin Yoo
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Complexity, 2021 Linear Diophantine uncertain linguistic set (LDULS) is a modified variety of the fuzzy set (FS) to manage problematic and inconsistent information in actual life troubles.
Tahir Mahmood +6 more
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AIMS Mathematics, 2022 The Covid-19 emergency condition is a critical issue for emergency decision support systems. Controlling the spread of Covid-19 in emergency circumstances throughout the global is a difficult task, hence the purpose of this research is to develop a non ...
Sohail Ahmad +4 more
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Uniform Diophantine approximation and run-length function in continued fractions [PDF]
Ergodic Theory and Dynamical Systems, 2023 We study the multifractal properties of the uniform approximation exponent and asymptotic approximation exponent in continued fractions. As a corollary, we calculate the Hausdorff dimension of the uniform Diophantine set $$ \begin{align*} {\mathcal{U ...
Bo Tan, Qingshan Zhou
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The Euclid Algorithm is totally gaussian [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We consider Euclid’s gcd algorithm for two integers $(p, q)$ with $1 \leq p \leq q \leq N$, with the uniform distribution on input pairs. We study the distribution of the total cost of execution of the algorithm for an additive cost function $d$ on the ...
Brigitte Vallée
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RETRACTED: On the Nature of Some Euler’s Double Equations Equivalent to Fermat’s Last Theorem
Mathematics, 2022 In this work, I provide a new rephrasing of Fermat’s Last Theorem, based on an earlier work by Euler on the ternary quadratic forms. Effectively, Fermat’s Last Theorem can be derived from an appropriate use of the concordant forms of Euler and from an ...
Andrea Ossicini
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Open Computer Science, 2018 We define a computable function f from positive integers to positive integers. We formulate a hypothesis which states that if a system S of equations of the forms xi· xj = xk and xi + 1 = xi has only finitely many solutions in non-negative integers x1, .
Tyszka Apoloniusz
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Arrested development and fragmentation in strongly-interacting Floquet systems
SciPost Physics, 2023 We explore how interactions can facilitate classical like dynamics in models with sequentially activated hopping. Specifically, we add local and short range interaction terms to the Hamiltonian and ask for conditions ensuring the evolution acts as a ...
Matthew Wampler, Israel Klich
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Applications of AG-Groupoids in Decision-Making via Linear Diophantine Fuzzy Sets
Discrete Dynamics in Nature and Society, 2023 In this paper, we investigated the notion of a linear Diophantine fuzzy set (LDFS) by using the concept of a score function to build the LDF-score left (right) ideals and LDF-score (0,2)-ideals in an AG-groupoid.
Faisal Yousafzai +4 more
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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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