Results 51 to 60 of about 22,960 (196)
Triples which are $D(n)$-sets for several $n$'s
, 2017 For a nonzero integer $n$, a set of distinct nonzero integers $\{a_1,a_2,\ldots,a_m\}$ such that $a_ia_j+n$ is a perfect square for all $1\leq ...
Adžaga, Nikola +3 more
core +1 more source
On Diophantine sets over polynomial rings [PDF]
Proceedings of the American Mathematical Society, 1999 Let \(A\) be a ring. A subset of a power of \(A\) is diophantine if it is the projection, along a rational line, of an algebraic set over \(A\). A subset of a power of \(A\) is recursively enumerable if its elements may be listed (eventually) by some algorithm. It was proved by Yu. V. Matiyasevich in the 70's that the two notions coincide when \(A\) is
openaire +1 more source
Liminf Sets in Simultaneous Diophantine Approximation [PDF]
Journal de théorie des nombres de Bordeaux, 2017 Let 𝒬 be an infinite set of positive integers. Denote by W τ,n * (𝒬) the set of n–tuples of real numbers simultaneously τ–well approximable by infinitely many rationals with denominators in 𝒬 but by only finitely many rationals with denominators in the complement of 𝒬.
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On Approximation constants for Liouville numbers [PDF]
, 2015 We investigate some Diophantine approximation constants related to the simultaneous approximation of $(\zeta,\zeta^{2},\ldots,\zeta^{k})$ for Liouville numbers $\zeta$. For a certain class of Liouville numbers including the famous representative $\sum_{n\
Jarník +7 more
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Linear Diophantine Fuzzy Fairly Averaging Operator for Suitable Biomedical Material Selection
Axioms, 2022 Nowadays, there is an ever-increasing diversity of materials available, each with its own set of features, capabilities, benefits, and drawbacks.
Hafiz Muhammad Athar Farid +4 more
doaj +1 more source
, 2004 We prove that infinite p-adically discrete sets have Diophantine definitions in large subrings of some number fields. First, if K is a totally real number field or a totally complex degree-2 extension of a totally real number field, then there exists a ...
Poonen, Bjorn, Shlapentokh, Alexandra
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A variational principle in the parametric geometry of numbers, with applications to metric Diophantine approximation [PDF]
, 2017 We establish a new connection between metric Diophantine approximation and the parametric geometry of numbers by proving a variational principle facilitating the computation of the Hausdorff and packing dimensions of many sets of interest in Diophantine ...
Das, Tushar +3 more
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Energy Science &Engineering, EarlyView.This study introduces bipolar q‐fractional fuzzy sets and new aggregation operators to support renewable energy selection under uncertainty. The proposed decision‐making framework effectively integrates positive and negative evaluations, ensuring consistent ranking and robust performance, as demonstrated through practical analysis and comparative ...
Sagvan Y. Musa +3 more
wiley +1 more source
Diophantine sets and Dirichlet improvability
Moscow Journal of Combinatorics and Number Theory, 2022 This note pushes further the discussion about relations between Dirichlet improvable, badly approximable and singular points held in recent joint work with Beresnevich, Guan, Velani and Ramirez, by considering Diophantine sets extending the notion of badly approximability.
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Journal of Mathematics, 2023 In everyday life, decision-making is a difficult task fraught with ambiguity and uncertainty. Many researchers and scholars have suggested numerous fuzzy set theories to resolve these ambiguities and uncertainties.
Muhammad Qiyas +3 more
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