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Compact Operators on the Sets of Fractional Difference Sequences

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019
The sets of fractional difference sequences have been studied in the literature recently. In this work, some identities or estimates for the operator norms and the measure of noncompactness of certain operators on difference sets of sequences of ...
Faruk Özger
doaj   +2 more sources

Limit sets of automatic sequences

open access: yesAdvances in Mathematics, 2003
The authors study the limit sets of multidimensional automatic sequences. For a finite set with a distinguished element \(s_0\), consider an \(\ell\)-dimensional sequence \(f\) in \(S^{\mathbb{N}^\ell}\). A sequence \((t_n)\in\mathbb{N}^{\mathbb{N}}\) is a scaling sequence, if \(({1\over t_n} X(f,t_n))\) is a Cauchy sequence with respect to the ...
Barbé, A, von Haeseler, F
openaire   +2 more sources

On the Independent Set Sequence of a Tree [PDF]

open access: yesThe Electronic Journal of Combinatorics, 2021
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
openaire   +3 more sources

Sequences of Sets [PDF]

open access: yesProceedings of the 24th ACM SIGKDD International Conference on Knowledge Discovery & Data Mining, 2018
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
openaire   +1 more source

ON THE STATISTICAL CONVERGENCE OF NESTED SEQUENCES OF SETS

open access: yesПроблемы анализа, 2022
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
doaj   +1 more source

Design of sequences with good correlation properties [PDF]

open access: yes, 2021
This thesis is dedicated to exploring sequences with good correlation properties. Periodic sequences with desirable correlation properties have numerous applications in communications. Ideally, one would like to have a set of sequences whose out-of-phase
Zhang, Dan
core   +1 more source

Sequence-To-Set Generative Models

open access: yesAdvances in Neural Information Processing Systems 35, 2022
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
openaire   +3 more sources

New Constructions of Extended Sonar Sequences From Sidon Sets

open access: yesIEEE Access, 2022
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
doaj   +1 more source

Asymptotically I-Cesaro equivalence of sequences of sets

open access: yesUniversal Journal of Mathematics and Applications, 2018
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
doaj   +1 more source

Wijsman and Wijsman regularly triple ideal convergence sequences of sets

open access: yesScientific African, 2022
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
doaj   +1 more source

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