• Honam Mathematical Journal
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• v.45 no.1
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• pp.146-159
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• 2023

In this paper, we define ⊕_δ-co-coatomically supplemented and co-coatomically δ-semiperfect modules as a strongly notion of ⊕-co-coatomically supplemented and co-coatomically semiperfect modules with the help of Zhou's radical. We say that a module A is ⊕_δ-co-coatomically supplemented if each co-coatomic submodule of A has a δ-supplement in A which is a direct summand of A. And a module A is co-coatomically δ-semiperfect if each coatomic factor module of A has a projective δ-cover. Also we define co-coatomically amply δ-supplemented modules and we examined the basic properties of these modules. Furthermore, we give a ring characterization for our modules. In particular, a ring R is δ-semiperfect if and only if each free R-module is co-coatomically δ-semiperfect.

• Nonlinear Functional Analysis and Applications
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• v.27 no.4
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• pp.839-853
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• 2022

We define the notions of ergodic shadowing property, $\underline{d}$-shadowing property and eventual shadowing property in terms of the topology of the phase space. Secondly we define these notions in terms of the compatible uniformity of the phase space. When the phase space is a compact Hausdorff space, we establish the equivalence of the corresponding definitions of the topological approach and the uniformity approach. In case the phase space is a compact metric space, the notions of ergodic shadowing property, $\underline{d}$-shadowing property and eventual shadowing property defined in terms of topology and uniformity are equivalent to their respective standard definitions.

• Development and Reproduction
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• v.27 no.1
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• pp.1-7
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• 2023

Small-cell lung cancer (SCLC) continues to be the deadliest of all lung cancer types. Its high mortality is largely attributed to the unchangeable development of resistance to standard chemo/radiotherapies, which have remained invariable for the past 30 years, underlining the need for new therapeutic approaches. Recent studies of SCLC genome revealed a large number of somatic alterations and identified remarkable heterogeneity of the frequent mutations except for the loss of both RB and P53 tumor suppressor genes (TSGs). Identifying the somatic alterations scattered throughout the SCLC genome will help to define the underlying mechanism of the disease and pave the way for the discovery of therapeutic vulnerabilities associated with genomic alterations. The new technique made it possible to determine the underlying mechanism for the discovery of therapeutic targets. To these ends, the techniques have been focused on understanding the molecular determinants of SCLC.

• Journal of applied mathematics & informatics
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• v.40 no.1_2
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• pp.85-98
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• 2022

The purpose of this paper is to introduce the notion of Fermatean fuzzy topological space by motivating from the notion of intuitionistic fuzzy topological space, and define Fermatean fuzzy continuity of a function defined between Fermatean fuzzy topological spaces. For this purpose, we define the notions of image and the pre-image of a Fermatean fuzzy subset with respect to a function and we investigate some basic properties of these notions. We also construct the coarsest Fermatean fuzzy topology on a non-empty set X which makes a given function f from X into Y a Fermatean fuzzy continuous where Y is a Fermatean fuzzy topological space. Finally, we introduce the concept of Fermatean fuzzy points and study some types of separation axioms in Fermatean fuzzy topological space.

• Journal of The Korean Association For Science Education
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• v.28 no.3
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• pp.211-226
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• 2008

The purpose of this study was to investigate science teachers' understandings about scientific argumentation in the classroom. Seven structured interview protocols were developed, asking the definition of scientific inquiry, the differentiation between scientific inquiry and hands-on activity, the opportunity of student argumentation, explicit teaching strategies for scientific argumentation, the critical example of argumentation, the criteria of successful argumentation, and the barrier of developing argumentation. The results indicate that there are differences and similarities in understandings about scientific argumentation between two groups of middle school teachers and upper elementary. Basically, teachers at middle school define scientific inquiry as the opportunity of practicing reasoning skills through argumentation, while teachers at upper elementary define it as the more opportunities of practicing procedural skills through experiments rather than of developing argumentation. Teachers in both groups have implemented a teaching strategy called "Claim-Evidence Approach," for the purpose of providing students with more opportunities to develop arguments. Students' misconception, limited scientific knowledge and perception about inquiry as a cycle without the opportunity of using reasoning skills were considered as barriers for implementing authentic scientific inquiry in the classroom.

• Journal of the Chungcheong Mathematical Society
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• v.8 no.1
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• pp.71-77
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• 1995

In this paper, we define a subgroup S(X, ${\gamma}$) of the group of automorphisms of universal minimal sets and give a necessary and sufficient condition for a minimal transformation group to be regular.

• Journal of the Korean Institute of Intelligent Systems
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• v.10 no.2
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• pp.107-112
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• 2000

We will prove the existence of final smooth fuzzy topological spaces and final smooth fuzzy closure spaces. From this fact we can define quotient spaces of their spaces.

• Journal of applied mathematics & informatics
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• v.1 no.1
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• pp.75-78
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• 1994

In this paper we define free torsion-free and torsion-free completely on an automaton. We prove some properties of them which are important

• Proceedings of the Korea Society of Design Studies Conference
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• 2002.05b
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• pp.224-225
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• 2002

• Korean Journal of Mathematics
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• v.8 no.2
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• pp.181-186
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• 2000

We define the concept of a F-regular flow as a generalization of that of a F-proximal flow, and investigate its properties.