• Communications for Statistical Applications and Methods
• /
• v.27 no.5
• /
• pp.569-578
• /
• 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.

• The Mathematical Education
• /
• v.42 no.2
• /
• pp.247-258
• /
• 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
• /
• v.1 no.1
• /
• pp.1-12
• /
• 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.

• Communications of Mathematical Education
• /
• v.38 no.3
• /
• pp.287-307
• /
• 2024

This study aims to classify and analyze the research topics in mathematics education in both domestic and international contexts based on the Mathematics Subject Classification(MSC)2020, reflecting on the research themes in Korea's mathematics education. For this purpose, data from 6,235 international papers in the zbMATH Open database and 327 papers from domestic journals were collected and analyzed. The analysis showed no statistically significant difference in the distribution of papers between domestic and international contexts, confirmed through the chi-squared independence test. However, a detailed examination revealed that domestic papers tend to focus heavily on specific research topics. This trend suggests a lack of diversity in research topics and insufficient connection with international research trends. To address this issue, the Korean Society of Mathematics Education should provide more systematic MSC2020 classification information and enhance the accessibility of paper searches through zbMATH Open. This will help researchers explore a wider range of topics and strengthen connections with international research trends. Ultimately, it will contribute to the qualitative improvement of mathematics education research in South Korea and increase its global competitiveness.

• Journal for History of Mathematics
• /
• v.18 no.1
• /
• pp.67-74
• /
• 2005

The purpose of this paper is to analysis with contents on thoughts and problems of philosophy of mathematics concerning around harmonical types of metaphysics and philosophy of mathematics. Moreover, we were gratefully acknowledged that the questions at issue of metaphysics and philosophy of mathematics are possible only in a philosophical position of mathematics in relation to nature of mathematical ion. These attitudes, important as they are in the study of an individual thinker, also have a pronounced effect on the future relation of mathematics to philosophy. And we can guess that many mathematician's research will have significant meaning in the future.

• Journal of applied mathematics & informatics
• /
• v.2 no.1
• /
• pp.11-16
• /
• 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
• /
• v.1 no.1
• /
• pp.21-30
• /
• 1994

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

• Journal of applied mathematics & informatics
• /
• v.1 no.1
• /
• pp.75-78
• /
• 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
• /
• v.2 no.2
• /
• pp.47-52
• /
• 1995

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

• Journal of applied mathematics & informatics
• /
• v.3 no.1
• /
• pp.79-88
• /
• 1996

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