Results 1 to 10 of about 515,225 (262)
Density by moduli and Wijsman lacunary statistical convergence of sequences of sets [PDF]
The main object of this paper is to introduce and study a new concept of f-Wijsman lacunary statistical convergence of sequences of sets, where f is an unbounded modulus.
Vinod K Bhardwaj, Shweta Dhawan
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Developing a standard definition for sequences of concern [PDF]
Readily available nucleic acid synthesis is both critical for the bioeconomy and an increasingly pressing security concern due to the potential for accidental or deliberate misuse.
Tessa Alexanian +23 more
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On the Independent Set Sequence of a Tree [PDF]
Alavi, Malde, Schwenk and Erdős asked whether the independent set sequence of every tree is unimodal. Here we make some observations about this question. We show that for the uniformly random (labelled) tree, asymptotically almost surely (a.a.s.) the initial approximately 49.5% of the sequence is increasing while the terminal approximately 38.8% is ...
Abdul Basit 0001, David J. Galvin
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Sequential behavior such as sending emails, gathering in groups, tagging posts, or authoring academic papers may be characterized by a set of recipients, attendees, tags, or coauthors respectively. Such "sequences of sets" show complex repetition behavior, sometimes repeating prior sets wholesale, and sometimes creating new sets from partial copies or ...
Austin R. Benson +2 more
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ON THE STATISTICAL CONVERGENCE OF NESTED SEQUENCES OF SETS
In this paper, we show that Wijsman convergence and statistical Wijsman convergence are equivalent to each other if we choose the sequences of sets as monotone.
H. Albayrak +3 more
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Sequence-To-Set Generative Models
In this paper, we propose a sequence-to-set method that can transform any sequence generative model based on maximum likelihood to a set generative model where we can evaluate the utility/probability of any set. An efficient importance sampling algorithm is devised to tackle the computational challenge of learning our sequence-to-set model.
Longtao Tang, Ying Zhou, Yu Yang
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New Constructions of Extended Sonar Sequences From Sidon Sets
A $(m,n)$ sonar sequence is an $m\times n$ array with exactly one dot in each column and where all lines connecting two dots in the array are distinct as vectors.
Luis Miguel Delgado Ordonez +2 more
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Asymptotically J_σ-Equivalence of Sequences of Sets
In thisstudy, we introduce the concepts of Wijsman asymptotically J-invariant equivalence (WLJσ) ,Wijsman asymptotically strongly p-invariant equivalence([WLVσ)]p) and Wijsman asymptotically J*-invariant equivalence(WLJ*σ).
Uğur Ulusu, Esra Gülle
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Wijsman and Wijsman regularly triple ideal convergence sequences of sets
This paper introduces the notions of IW3-convergence, IW3*-convergence, IW3-Cauchy, IW3*-Cauchy, regularly (IW3,IW)-convergence and regularly (IW3*,IW*)-convergence and investigates the relationship among them.
Carlos Granados, Bright O. Osu
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Asymptotically I-Cesaro equivalence of sequences of sets
In this paper, we defined concepts of asymptotically $\mathcal{I}$-Cesaro equivalence and investigate the relationships between the concepts of asymptotically strongly $\mathcal{I}$-Cesaro equivalence, asymptotically strongly $\mathcal{I}$-lacunary ...
Erdinç Dundar, Uğur Ulusu
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