Results 31 to 40 of about 22,960 (196)
Diophantine sets. Preliminaries [PDF]
Formalized Mathematics, 2018 Summary In this article, we define Diophantine sets using the Mizar formalism. We focus on selected properties of multivariate polynomials, i.e., functions of several variables to show finally that the class of Diophantine sets is closed with respect to the operations of union and intersection.
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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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Linear Diophantine Fuzzy Set Theory Applied to BCK/BCI-Algebras
Mathematics, 2022 In this paper, we apply the concept of linear Diophantine fuzzy sets in BCK/BCI-algebras. In this respect, the notions of linear Diophantine fuzzy subalgebras and linear Diophantine fuzzy (commutative) ideals are introduced and some vital properties are ...
Ghulam Muhiuddin +4 more
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The arithmetic of hyperelliptic curves [PDF]
, 1996 We summarise recent advances in techniques for solving Diophantine problems on hyperelliptic curves; in particular, those for finding the rank of the Jacobian, and the set of rational points on the ...
Flynn, E. V.
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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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Diophantine approximations on definable sets [PDF]
Selecta Mathematica, 2017 35 ...
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Non-Salem Sets in Metric Diophantine Approximation
International Mathematics Research Notices, 2022 Abstract A classical result of Kaufman states that, for each $\tau>1$, the set of $\tau $-well approximable numbers $$ \begin{align*} & E(\tau)=\{x \in \mathbb{R}: |xq-r| < |q|^{-\tau} \text{ for infinitely many integer pairs } (q,r)\} \end{align*}$$is a Salem set.
Hambrook, Kyle, Yu, Han
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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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Linear Diophantine Neutrosophic Sets and Their Properties [PDF]
Neutrosophic Sets and Systems, 2023 In 2019, Riaz et al. introduced the notion of linear Diophantine fuzzy set(LDFS) where there is an addition of reference parameters that help to address the issues that cannot be managed by the existing theories such as fuzzy sets(FSs), intuitionistic ...
Somen Debnath
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Mathematics, 2023 The concept of linear Diophantine fuzzy set (LDFS) theory with its control parameters is a strong model for machine learning and data-driven multi-criteria decision making (MCDM).
Anam Habib +3 more
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