• Bulletin of the Korean Mathematical Society
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• v.50 no.2
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• pp.431-440
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• 2013

Let ($M^3$, $g$) be a 3-dimensional closed Sasakian spin manifold. Let $S_{min}$ denote the minimum of the scalar curvature of ($M^3$, $g$). Let ${\lambda}^+_1$ > 0 be the first positive eigenvalue of the Dirac operator of ($M^3$, $g$). We proved in [13] that if ${\lambda}^+_1$ belongs to the interval ${\lambda}^+_1{\in}({\frac{1}{2}},\;{\frac{5}{2}})$, then ${\lambda}^+_1$ satisfies ${\lambda}^+_1{\geq}{\frac{S_{min}+6}{8}}$. In this paper, we remove the restriction "if ${\lambda}^+_1$ belongs to the interval ${\lambda}^+_1{\in}({\frac{1}{2}},\;{\frac{5}{2}})$" and prove $${\lambda}^+_1{\geq}\;\{\frac{S_{min}+6}{8}\;for\;-\frac{3}{2}<S_{min}{\leq}30, \\{\frac{1+\sqrt{2S_{min}}+4}{2}}\;for\;S_{min}{\geq}30$$.

• Bulletin of the Korean Mathematical Society
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• v.36 no.1
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• pp.25-31
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• 1999

Let $\nu$ be a positive Borel measure on a space of homogeneous type (X, d, $\mu$), satisfying the doubling property. A condition on a weight $\omega$ for whixh a maximal operator $M\nu f$(x) defined by M$mu$f(x)=supr>0{{{{ { 1} over {ν(B(x,r)) } INT _{ B(x,r)} │f(y)│d mu (y)}}}}, is of weak type (p,p) with respect to (ν, $omega$), is that there exists a constant C such that C $omega$(y) for a.e. y$\in$B(x, r) if p=1, and {{{{( { 1} over { upsilon (B(x,r) } INT _{ B(x,r)}omega(y) ^ (-1/p-1) d mu (y))^(p-1)}}}} C, if 1$infty$.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.4 no.2
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• pp.125-128
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• 2004

Using the theory of Generalized Nets we have modelled the information exchange within the electronic archives of an idealized univerity Intranet.

• The Korean Journal of Applied Statistics
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• v.7 no.2
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• pp.239-248
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• 1994

The Yule-Walker estimator and the approximate conditional least squares estimator of the parameter of the EARMA(1, 1) model are obtained. These two estimators are compared by simulation study. It is shown that the approximate conditional least squares estimator is better in the sense of the mean square error than the Yul-Walker estimator.

• Communications of the Korean Mathematical Society
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• v.37 no.2
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• pp.347-358
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• 2022

In this paper, we first introduce the notions of superfluous and coessential subacts. Then hollow and co-uniform S-acts are defined as the acts that all proper subacts are superfluous and coessential, respectively. Also it is indicated that the class of hollow S-acts is properly between two classes of indecomposable and locally cyclic S-acts. Moreover, using the notion of radical of an S-act as the intersection of all maximal subacts, the relations between hollow and local S-acts are investigated. Ultimately, the notion of a supplement of a subact is defined to characterize the union of hollow S-acts.

• East Asian mathematical journal
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• v.25 no.4
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• pp.441-447
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• 2009

Jat and Choudhari defined a near-ring R with left bipotent or right bipotent condition in 1979. Also, we can dene a near-ring R as subcommutative if aR = Ra for all a in R. From these above two concepts it is natural to investigate the near-ring R with the properties aR = $Ra^2$ (resp. $a^2R$ = Ra) for each a in R. We will say that such is a near-ring with (1,2)-potent condition (resp. a near-ring with (2,1)-potent condition). Thus, we can extend a general concept of a near-ring R with (m,n)-potent condition, that is, $a^mR\;=\;Ra^n$ for each a in R, where m, n are positive integers. We will derive properties of near-ring with (1,n) and (n,1)-potent conditions where n is a positive integer, any homomorphic image of (m,n)-potent near-ring is also (m,n)-potent, and we will obtain some characterization of regular near-rings with (m,n)-potent conditions.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.21 no.9
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• pp.387-396
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• 2020

The purpose of this study is to identify the variables of metropolitan and provincial offices of education that affect the academic achievement of unit schools, and to predict how academic achievements dynamically change with the support of offices of education. The results of academic achievement of 606 general high schools in 16 metropolitan and provincial offices of education(rates of attaining more than normal education in Korean, English, and mathematics subjects) were analyzed using a multi-level model and system dynamics. As a result of the analysis, it was confirmed that the provincial and provincial offices of education's efforts to increase the efficiency of local education finance, the efforts to reduce teacher administration, and the facilitation of faculty training were the variables of the provincial and provincial offices of education. In addition, through policy experiments, efforts to revitalize teacher training were the most influential factors in academic achievement of unit schools, followed by efforts to streamline local education finances and to reduce the administrative work of teachers. In order to improve the academic achievement of unit schools, the functions of the metropolitan and provincial offices of education should be strengthened based on the education accountability, and policies need to be established in the mid- to long-term perspective.

• The Korean Journal of Applied Statistics
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• v.21 no.5
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• pp.765-774
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• 2008

Korean financial markets are rapidly integrating into the world financial markets as they are getting to open more widely. The Korean government enacted new law about financial investments. The environment of domestic financial markets are expected to be more competitive. As a result, the learning demand for financial engineering has been increased. However, the current state of education of financial engineering is in a beginning stage. The financial engineering consists of an appropriate mix of mathematics, statistics, finance and engineering. So interdisciplinary property of financial engineering requires lecturers to be cooperative to operate education of financial engineering. Another element of this education is cooperation of both academia and industry.

• Korean Institute of Interior Design Journal
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• v.22 no.1
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• pp.222-230
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• 2013

The convergence progress in science technology and ensuing changes in educational environments require another huge change in education programs in the 21st century defined as a knowledge-based information society. But nowadays, prospective college students are increasingly avoiding natural science and engineering. So, educational fields in korea need suitable convergence educational programs (STEAM: science, technology, engineering, arts, mathematics) for creative competent person who is training and experiencing. In addition, environmental design fields are predicting about spread of Kinetic architecture. Therefore the aim of this study is developing convergence hand-on educational program which is incorporate robot science into environmental design for children. The program and teaching materials were developed by mapping between robot science and environmental design process leading the Design Promote Committee in KIID(Korea Institute of Interior Design) supported research teams in Hansung University. And then, For utility of the program, we had a 3 times of demonstration of empirical education. First, graduate students of design and robot major, and small group of children who are selected, at last, 63 children who are applying the program randomly. For more high quality program, we were conducting survey of post-empirical education evaluation for children and their parents. In conclusion, we found out highly satisfaction of the program those two groups. Also they need more organized places, time, task and so on. And the convergence educational program would develop by systematic approach and empirical research. At last, various and series convergence programs and teaching materials would develop creative competency based for regular and irregular courses of whole educational period.

• Proceedings of the KIEE Conference
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• 2003.07e
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• pp.10-18
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• 2003

A point of doing this research is to give basic data for junior college having matriculation resources in department of electricity majority to the graduate students from Technical high school in department of electricity. We have examined the effect of the 6th and the 7th educational curriculum and courses in department of electricity on technical high school, and analyzed basic subjects of technical high school and detailed major basis subject of junior college in department of electricity by Educational courses and mathematics education contents. Also we have examined tried to secure advantage of major studying on the basis of result of analysis.