한국수학교육학회지시리즈B:순수및응용수학
- P-ISSN : 1226-0657
- E-ISSN : 2287-6081
- Publisher : 한국수학교육학회
- P-ISSN1226-0657
- E-ISSN2287-6081
- KCI
최신 논문
31권 4호
8개 논문이 있습니다.
Pradip Majhi(University of Calcutta) ; Raju Das(University of Calcutta)
pp.355-364
https://doi.org/10.7468/jksmeb.2024.31.4.355
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Abstract
In the present paper we study 3-dimensional contact metric manifolds with φQ = Qφ admitting generalized Ricci solitons and generalized gradient Ricci solitons. It is proven that if a 3-dimensional contact metric manifold satisfying φQ = Qφ admits a generalized Ricci soliton with non zero soliton vector eld V being pointwise collinear with the characteristic vector field ξ, then the manifold is Sasakian. Also it is shown that if a 3-dimensional compact contact metric manifold with φQ = Qφ admits a generalized gradient Ricci soliton then either the soliton is trivial or the manifold is at or the scalar curvature is constant.
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Citaion
Applying the PUARL Mathematical Model: Psychological Insights for Restricting Gaming and Internet Addiction
Mohit Soni(Government Holkar (Model, Autonomous) Science College) ; Rajesh Kumar Sharma(J.N.S. Government PG College) ; Shivram Sharma(Government Postgraduate College)
pp.365-386
https://doi.org/10.7468/jksmeb.2024.31.4.365
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Consider social media and gaming addiction as diseases and consider their harmful effects on the user’s health. This research introduces a PUARL epidemic model to prevent their spread among the population through psychological awareness. It calculates the basic reproduction number, analyzes stability, and conducts a sensitivity analysis. The study emphasizes the importance of psychological factors in preventing addiction, highlighting the role of psychological awareness.
오주목(강릉원주대학교)
pp.387-400
https://doi.org/10.7468/jksmeb.2024.31.4.387
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In this paper, we introduce the pairs of negations and pseudo t-conorms on lattices. As a noncommutative sense, we de ne left and right oresiduated lattices which are an algebraic structure to deal information systems. We investigate their properties and construct them. Moreover, we give their examples.
Ghorban Khalilzadeh Ranjbar(Bu-Ali Sina University)
pp.401-414
https://doi.org/10.7468/jksmeb.2024.31.4.401
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We prove some new xed point theorems in class of generalized metric with using comparison functions and almost generalized weakly contractive mappings. Finally, we give an example to illustrate our main results.
Feng Liu(Changsha University of Science and Technolog)
pp.415-425
https://doi.org/10.7468/jksmeb.2024.31.4.415
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This essay explores a class of almost periodic high-order Hopfield neural networks involving time-varying delays. By taking advantage of some novel differential inequality techniques, several assertions are derived to substantiate the positive exponential stability of the addressed neural networks, which refines and extends the corresponding results in some existing references. In particular, a demonstrative experiment is presented to check the effectiveness and validity of the theoretical outcomes.
이광연(한서대학교) ; 박기섭(서울신학대학교)
pp.427-437
https://doi.org/10.7468/jksmeb.2024.31.4.427
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In this paper, we introduce the Lucas-Padovan quaternions sequence. Initiating the studies based on the Padovan quaternion coe cients in relation to their recurrence, their matrix representation is then de ned. We investigate various aspects of these quaternions, including summation formulas and binomial sums.
김동한(동국대학교)
pp.439-451
https://doi.org/10.7468/jksmeb.2024.31.4.439
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Motivated by an algorithm to generate all Pythagorean triples, Romik introduced a dynamical system on the unit circle, which corresponds the continued fraction algorithm on the index-2 sublattice. Cha et al. extended Romik’s work to other ellipses and spheres and developed a dynamical system generating all Eisenstein triples. In this article, we review the dynamical systems by Romik and by Cha et al. and find connections to the continued fraction algorithms.
이중권(동국대학교) ; 이한주(동국대학교)
pp.453-476
https://doi.org/10.7468/jksmeb.2024.31.4.453
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The Riemann-Stieltjes integrals of continuous functions with respect to a function of bounded variation can be represented by a regular, Borel, complex measure. In this paper, we study the link between the Riemann-Stieltjes integral and measure theory using this representation. Specifically, we investigate the Riemann-Stieltjes integrability and its measurability. Furthermore, we derive a criterion for Riemann-Stieltjes integrability through a method di erent from known proofs. In particular, we calculate the upper and lower Riemann-Stieltjes integrals with respect to a monotone increasing function.