• 한국수학교육학회지시리즈A:수학교육
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• 제45권2호
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• pp.191-204
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• 2006

Computer technology has a potential to change the contents of school mathematics and the way of teaching mathematics. But in our country, the problem whether computer technology should be introduced into mathematics classroom or not was not resolved yet. As a tool, computer technology can be used by teachers who are confident of the effectiveness and who can use it skillfully and can help students to understand mathematics. The purpose of this study was to investigate the effective way to introduce and utilize computer technology based on the status quo of mathematics classroom setting. One possible way to utilize computer technology in mathematics classroom in spite of the lack of computer and the inaccessibility of useful software is using domain specific simulation software like 'Polyhedron'. 'Polyhedron', as we can guess from the name, can be used to explore regular and semi regular polyhedra and the relationship between them. Its functions are limited but it can visualize regular polyhedra, transform regular polyhedra into other polyhedra. So it is easier to operate than other dynamic geometry software like GSP. To investigate the effect of using this software in mathematics class, three classes(one in 6th grade from science education institute for the gifted, two in 7th grade) were chosen. Activities focused on the relationship between regular and semi regular polyhedra. After the class, several conclusions were drawn from the observation. First, 'Polyhedron' can be used effectively to explore the relationship between regular and semi regular polyhedra. Second, 'Polyhedron' can motivate students. Third, Students can understand the duality of polyhedra. Fourth, Students can visualize various polyhedra by reasoning. To help teachers in using technology, web sites like NCTM's illuminations and NLVM of Utah university need to be developed.

• Journal of the Korean Data and Information Science Society
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• 제27권3호
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• pp.663-676
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• 2016

한국의 프로야구는 정규시즌 중의 성적이 4위인 팀이 와일드카드인 1승을 안고 5위 팀과 싸워 2승을 먼저 하는 팀이 준 플레이오프에 진출한다. 준 플레이오프 진출 팀이 3위 팀과 싸워 3승을 먼저 하는 팀이 플레이오프에 진출하고 이 팀이 다시 2위 팀과 싸워 3승을 먼저 하는 팀이 코리언 시리즈에 진출하게 된다. 코리언시리즈 진출 팀은 1위 팀과 싸워 먼저 4승을 거두는 팀이 최종 우승팀이 된다. 이러한 포스트 시즌 경기방식을 따를 경우 상위 포스트 시즌 경기에 진출한 각 순위의 팀이 우승할 확률은 팀의 승률에 따라 결정됨을 알 수 있다. 본 연구에서는 Bernoulli 시행인 경우와 서로 독립인 경우만을 가정하는 경우 한국시리즈와 같은 우승 결정방식에서 상위 팀들이 우승할 확률을 추정하는 방법을 제안하였다. 본 연구의 결과를 이용하면 시즌 중의 각 팀 간의 승률이나 포스트 시즌 중매 경기에 대한 각 팀 간의 승률을 이용하여 포스트 시즌 진출 팀들의 최종 우승확률을 추정할 수 있다.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제10권
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• pp.283-292
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• 2000

We shall introduce new concepts of near-rings, that is, strong reducibility and left semi ${\pi}$-regular near-rings. We will study every strong reducibility of near-ring implies reducibility of near-ring but this converse is not true, and also some characterizations of strong reducibility of near-rings. We shall investigate some relations between strongly reduced near-rings and left strongly regular near-rings, and apply strong reducibility of near-rings to the study of left semi ${\pi}$-regular near-rings, s-weekly regular near-rings and some other regularity of near-rings.

• Journal of applied mathematics & informatics
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• 제19권1_2호
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• pp.241-251
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• 2005

In this paper, we introduce a new algebraic method to characterize rational PH plane curves. And using this method, we study the algebraic characterization of generic strongly regular rational plane PH curves expressed in the complex formalism which is introduced by R.T. Farouki. We prove that generic strongly semi-regular rational PH plane curves are completely characterized by solving a simple functional equation H(f, g) = $h^2$ where h is a complex polynomial and H is a bi-linear operator defined by H(f, g) = f'g - fg' for complex polynomials f,g.

• Steel and Composite Structures
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• 제4권5호
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• pp.403-418
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• 2004

Lateral sway is most likely to control the design of semi-rigid steel frames where the frame arrangements do not include any form of bracing. This paper investigates the sway behaviour of semi-rigid regular steel frames i.e., frames having the same arrangement of beam and column sections at all levels, and hence proposes some design charts for the prediction of sway that eliminate the need for doing any numerical modelling. Schueller's equation has also been modified to incorporate connection flexibility in addition to its original rigid frame considerations. All the proposed methods have been validated using results obtained from numerical analysis.

• 한국해양공학회지
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• 제2권1호
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• pp.59-70
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• 1988

This paper presents the results of motion tests of a moored semi-submersible platform in regular waves. To investigate the effects of mooring system on the motion characteristics, the tests were performed under the various mooring conditions in regular head and beam waves. Two types of mooring system were employed: one is composed of soft springs and the other is of chains. In the case of chains the pretensions were varied to investigate the dynamic effects of mooring forces as well as the motion responses of the semi-submersible. The motion responses and mooring tensions were measured and analyzed by the double amplitude method. The measured motion responses were also compared with the results of calculation from three-dimensional potential theory. Finally, the dynamic behaviors of mooring chains were studied.

• 대한수학회논문집
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• 제19권2호
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• pp.233-242
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• 2004

The aim of this note is to study properties of the generalized centroid of the semi-prime gamma rings. Main results are the following theorems: (1) Let M be a semi-prime $\Gamma$-ring and Q a quotient $\Gamma$-ring of M. If W is a non-zero submodule of the right (left) M-module Q, then $W\Gamma$W $\neq 0. Furthermore Q is a semi-prime $\Gamma$-ring. (2) Let M be a semi-prime $\Gamma$-ring and $C_{{Gamma}$ the generalized centroid of M. Then $C_{\Gamma}$ is a regular $\Gamma$-ring. (3) Let M be a semi-prime $\Gamma$-ring and $C_{\gamma}$ the extended centroid of M. If $C_{\gamma}$ is a $\Gamma$-field, then the $\Gamma$-ring M is a prime $\Gamma$-ring.

• Kyungpook Mathematical Journal
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• 제56권1호
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• pp.83-94
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• 2016

Let M and N be modules over a ring R. The purpose of this paper is to study modules M, N for which the bi-module [M, N] is regular or pi. It is proved that the bi-module [M, N] is regular if and only if a module N is semi M-projective and $Im({\alpha}){\subseteq}^{\oplus}N$ for all ${\alpha}{\in}[M,N]$, if and only if a module M is semi N-injective and $Ker({\alpha}){\subseteq}^{\oplus}N$ for all ${\alpha}{\in}[M,N]$. Also, it is proved that the bi-module [M, N] is pi if and only if a module N is direct M-projective and for any ${\alpha}{\in}[M,N]$ there exists ${\beta}{\in}[M,N]$ such that $Im({\alpha}{\beta}){\subseteq}^{\oplus}N$, if and only if a module M is direct N-injective and for any ${\alpha}{\in}[M,N]$ there exists ${\beta}{\in}[M,N]$ such that $Ker({\beta}{\alpha}){\subseteq}^{\oplus}M$. The relationship between the Jacobson radical and the (co)singular ideal of [M, N] is described.

• Journal of applied mathematics & informatics
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• 제28권1_2호
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• pp.509-513
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• 2010

In this paper, we will investigate some properties of strongly reduced near-rings. The purpose of this paper is to find more characterizations of the strong regularity in near-rings, which are closely related with strongly reduced near-rings.

• 한국콘텐츠학회논문지
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• 제9권5호
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• pp.76-83
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• 2009

최근 공동 연결 관계와 연속적인 정점 위치들의 움직임으로 이루어진 메쉬들의 모임, 즉 메쉬 시퀀스를 압축하는 연구가 활발하게 이루어지고 있다. 본 논문은 Khodakovsky 등이 제시한 준균일 메쉬 압축방법에 기반한 메쉬 시퀀스의 압축 알고리즘을 제시하고자 한다. 준균일 메쉬 시퀀스로의 메쉬 재구성을 이용한 메쉬 시퀀스 압축 알고리즘은 크게 두 부분으로 이루어진다. 첫 번째 부분은 주어진 비균일 메쉬 시퀀스로부터 준균일 메쉬 시퀀스를 생성하는 것이다. 준균일 메쉬를 생성하기 위해 본 논문에서는 MAPS 알고리즘을 사용하였다. 하지만 단일 메쉬에 대해 적용이 가능한 MAPS 알고리즘을 메쉬 시퀀스에 그대로 적용할 수 없다. 따라서 주어진 애니메이션에서의 정점 움직임을 고려하여 유사한 움직임을 가지는 영역별로 분할하고, 이 분할 정보과 정점의 움직임을 고려할 수 있도록 MAPS 알고리즘을 확장하였다. 두 번째 단계에서는 웨이블릿 변형과 메쉬 분할 정보를 이용해 준균일 메쉬를 압축하였다. 각 분할 영역의 변환 정보를 고려해 분할 영역 내 정점의 위치를 예측하고, 참조 프레임과의 차이값을 압축함으로써 효율적으로 준균일 메쉬 시퀀스를 압축하였다.