• Communications for Statistical Applications and Methods
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• 제27권5호
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• pp.569-578
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• 2020

Various graph clustering methods have been introduced to identify communities in social or biological networks. This paper studies the entropy-based and the Markov chain-based methods in clustering the undirected graph. We examine the performance of two clustering methods with conventional methods based on quality measures of clustering. For the real applications, we collect the mathematical subject classification (MSC) codes of research papers from published mathematical databases and construct the weighted code-to-document matrix for applying graph clustering methods. We pursue to group MSC codes into the same cluster if the corresponding MSC codes appear in many papers simultaneously. We compare the MSC clustering results based on the several assessment measures and conclude that the Markov chain-based method is suitable for clustering the MSC codes.

• 한국수학교육학회지시리즈A:수학교육
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• 제42권2호
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• pp.247-258
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• 2003

In this study, total 486 articles in the journal of the Korea Society of Mathematical Education Series A are classified and analyzed by MSC2000 and ZDM classification. The results are as follows: 1) 2000 Mathematics Subject Classification : (number of articles) 1) 2000 Mathematics Subject Classification : (number of articles) 97- : (31), 97A : (7), 97B : (40), 97D : (229), 97U(105) 2) ZDM classification : (number of articles) A : (36), B (45), C : (57), D : (145), E : (19), F : (27), G : (37) H : (7), I : (19), K : (18), M (4), N : (12), U : (60) 3) Some remarks and suggestions are proposed.

• Journal of applied mathematics & informatics
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• 제1권1호
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• pp.1-12
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• 1994

We consider a single channel CSMA/CD system with D homogeneous stations and impeded buffer of infinite size. We find a sufficient condition for the model to be stable under the threshold control policy and derive the limiting distri-bution of the number of messages in the system at the moment of service completion. We also derive the limiting distributing of the number of messages in the system size at arbitrary time by using Markov regenerative processes. Some numerical examples and special cases are also treated.

• 한국수학사학회지
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• 제18권1호
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• pp.67-74
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• 2005

본 연구에서는 수리철학의 사상과 과제를 분석하기 위하여 수리철학과 형이상학의 내용의 조화적인 유형의 분석을 중심으로 살펴보기로 한다. 형이상학과 수리철학의 논쟁적인 의문은 특히 수학적 추상의 본질과 관련하여 수리철학적 입장에서만 가능함을 알 수 있다. 따라서 이러한 태도는 미래의 철학에 대한 수학의 관계에 있어서 명백한 영향력을 가지게 될 수 있고 많은 연구가 미래에 큰 의미를 부여할 수 있기를 기대한다.

• Journal of applied mathematics & informatics
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• 제2권1호
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• pp.11-16
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• 1995

Scale Invariant Transforms are defined for both one- and two- dimensioned input functions. These have the desirable properties of linearity and invariance to scale change of the input.

• Journal of applied mathematics & informatics
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• 제1권1호
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• pp.21-30
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• 1994

We give a simple unified proof of various characterizations of discrete classical orthogonal polynomials.

• Journal of applied mathematics & informatics
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• 제1권1호
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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

• Journal of applied mathematics & informatics
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• 제2권2호
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• pp.47-52
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• 1995

in this paper we reduce the trading strategy of discounted security model to trading strategy of original model

• Journal of applied mathematics & informatics
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• 제3권1호
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• pp.79-88
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• 1996

In this paper we define a new short exact sequence of automata and we investigate module-like properties on projective and injective automata

• 한국수학사학회지
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• 제17권4호
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• pp.77-86
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• 2004

펠릭스 쿨라인은 현대 기하학이 나아갈 새로운 방향을 제시하여 현대 수학에 큰 영향을 미쳤을 뿐만 아니라 수학 교육의 개혁을 주도하여 유능한 과학자들이 탄생하는 데 크게 기여하였다. 2004년 7월 국제 수학 교육 위원회(ICME)에서 처음으로 펠릭스 클라인 메달이 수여된 것을 계기로, 클라인이 에를랑겐 대학교에 교수로 취임되면서 강연하였던 ‘에를랑겐 계획’을 소개하고 그가 현대 수학과 수학 교육에 끼친 영향을 고찰하고자 한다.