• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 1998.06a
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• pp.543-548
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• 1998

An image of a set that produces a multiset from an ordinary set and its extension to fuzzy multisets is considered. For each input element, its image is added to the output regardless whether or not there already exists the same image in the output. theoretical properties such as commutativity of the image with $\alpha$-cut or multiset addition are proved. Generalization to the image by multivariable functions is moreover defined.

• Communications of the Korean Mathematical Society
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• v.35 no.2
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• pp.613-623
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• 2020

The notion of quasi-Einstein metric in theoretical physics and in relation with string theory is equivalent to the notion of Ricci soliton in differential geometry. Quasi-Einstein metrics or Ricci solitons serve also as solution to Ricci flow equation, which is an evolution equation for Riemannian metrics on a Riemannian manifold. Quasi-Einstein metrics are subject of great interest in both mathematics and theoretical physics. In this paper the notion of Ricci 𝜌-soliton as a generalization of Ricci soliton is defined. We are motivated by the Ricci-Bourguignon flow to define this concept. We show that if a 3-dimensional almost Kenmotsu Einstein manifold M is a 𝜌-soliton, then M is a Kenmotsu manifold of constant sectional curvature -1 and the 𝜌-soliton is expanding with λ = 2.

• Communications of the Korean Mathematical Society
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• v.30 no.4
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• pp.363-377
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• 2015

Let R be a ring, (S,${\leq}$) a strictly ordered monoid and ${\omega}$ : S ${\rightarrow}$ End(R) a monoid homomorphism. The skew generalized power series ring R[[S,${\omega}$]] is a common generalization of (skew) polynomial rings, (skew) power series rings, (skew) Laurent polynomial rings, (skew) group rings, and Mal'cev-Neumann Laurent series rings. In this paper, we investigate the interplay between the ring-theoretical properties of R[[S,${\omega}$]] and the graph-theoretical properties of its zero-divisor graph ${\Gamma}$(R[[S,${\omega}$]]). Furthermore, we examine the preservation of diameter and girth of the zero-divisor graph under extension to skew generalized power series rings.

• International Journal of Computer Science & Network Security
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• v.22 no.8
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• pp.217-221
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• 2022

The article analyzes the main theoretical approaches to the formation of managerial competencies and establishes the degree of development of the problem. The content of the concept of "managerial competence" has been clarified, to determine the structure of managerial competencies of a future specialist in the education system and indicators of the formation of managerial competencies. The organizational and pedagogical conditions necessary for the effective process of forming the managerial competencies of future specialists are revealed. The following research methods were used in the work: theoretical (analysis of regulatory documents and scientific literature on the problem under study, comparison, generalization, modeling), empirical (diagnostics of the level of formation of managerial competencies of students of the system, questioning, observation, peer review, comparative qualitative and quantitative analysis of diagnostic results the level of formation of managerial competencies).

• International Journal of Computer Science & Network Security
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• v.22 no.11
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• pp.192-198
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• 2022

The article is devoted to current problems of the concept leadership. The essence of the concept of "leadership" is considered and leadership theories. The authors of the article conducted a multifaceted analysis of leadership theories, analyzed the factors of their formation and identified their relationship. Also, the reasons for the difference and connection between leadership and leadership. Styles were presented leadership and their role in building effective leadership. To form the basis of effective leadership was compared to the main criteria inherent in this theories. The following research methods were used in the work: theoretical (analysis of regulatory documents and scientific literature on the problem under study, comparison, generalization, modeling), empirical (diagnostics of the level of formation of managerial competencies of students of the system, questioning, observation, peer review, comparative qualitative and quantitative analysis of diagnostic results the level of formation of managerial competencies).

• International Journal of Computer Science & Network Security
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• v.23 no.9
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• pp.71-76
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• 2023

In order to achieve this goal, we consider the following issues: a retrospective analysis of the concepts of "giftedness", "intellectually gifted personality"; the experience of working with gifted youth abroad is analyzed; features of work with gifted student youth are revealed; educational and methodological support and practical work with gifted students are analyzed; an empirical study was conducted to determine the attitude of gifted youth to organizational forms of work with them; developed a scientific circle as a form of work with intellectually gifted student youth. A set of methods is used, in particular: theoretical methods: comparison, analysis, synthesis and generalization; empirical methods: analysis of documentation and results of pedagogical activity, observation.

• Journal of the Korean School Mathematics Society
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• v.23 no.1
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• pp.129-158
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• 2020

In this study, we presented two geometric tasks to three 11th grade students to identify the characteristics of the images that the students had at the beginning of problem-solving in the problem situations and investigated how their images changed during problem-solving and effected their problem-solving behaviors. In the first task, student A had a static image (type 1) at the beginning of his problem-solving process, but later developed into a dynamic image of type 3 and recognized the invariant relationship between the quantities in the problem situation. Student B and student C were observed as type 3 students throughout their problem-solving process. No differences were found in student B's and student C's images of the problem context in the first task, but apparent differences appeared in the second task. In the second task, both student B and student C demonstrated a dynamic image of the problem context. However, student B did not recognize the invariant relationship between the related quantities. In contrast, student C constructed a robust quantitative structure, which seemed to support him to perceive the invariant relationship. The results of this study also show that the success of solving the task 1 was determined by whether the students had reached the level of theoretical generalization with a dynamic image of the related quantities in the problem situation. In the case of task 2, the level of covariational reasoning with the two varying quantities in the problem situation was brought forth differences between the two students.

• Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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• v.19 no.2
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• pp.173-181
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• 2001

It is very important to assess spatial data quality of a digital map produced through digital map generalization. In this study, as a aspect of spatial data quality maintenance, we examined the tolerate range of theoretical expectation accuracy and established the quality assessment standard in spatial data for the transformed digital map data do not act contrary to the digital map specifications and the digital map accuracy of the relational scale. And, transforming large scale digital map to small scale, if we reduce complexity through processes as simplification, smoothing, refinement and so on., the spatial position change may be always happened. thus, because it is very difficult to analyse the spatial accuracy of the transformed position, we used the buffering as assessment method of spatial accuracy in digital map generalization procedure. Although the tolerated range of generic positioning error for l/l, 000 and l/5, 000 scale is determined based on related law, because the algorithms adapted to each processing elements have different property each other, if we don't determine the suitable parameter and tolerance, we will not satisfy the result after generalization procedure with tolerated range of positioning error. The results of this study test which is about the parameters of each algorithm based on tolerated range showed that the parameter of the simplification algorithm and the positional accuracy are 0.2617 m, 0.4617 m respectively.

• Applied Chemistry for Engineering
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• v.19 no.3
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• pp.277-286
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• 2008

This paper deals with the theoretical derivation of the modified Haldane model of the substrate inhibition in the microbial growth processes. Based on the biological concepts of substrate-receptor complex working mechanisms, a new microbial kinetics of N-fold multiplex substrate inhibition and its generalization has been considered theoretically, which is natural expansion of the simple substrate inhibition mechanism in the enzyme reaction. As a result, the modified Haldane model of the substrate inhibition turns out to be a well-designed four-parameter kinetic model with a biological constant of the total substrate inhibition concentration.

• International Journal of Quality Innovation
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• v.4 no.1
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• pp.54-76
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• 2003

The concept of quality is revisited to evidence its applicability beyond the product and economic transaction level, to cover every kind of human and social relation. A very important extension indeed in this globalization era, where an increasingly interconnected world badly needs rules and means to improve quality, both at economic and political level. To that aim, some commonplaces about quality need to be exposed to criticism and the close connection between ″value″ and ″quality″ concepts must be highlighted. Generalization of the quality related concepts could appear to be just a theoretical issue were it not for the fact that it opens the door to the extension of ″quality management″ concepts to every kind of organization: from the company to the state to the planet. ″Managing for quality″ appears to be a fundamental issue for all human-made systems.