• Bulletin of the Korean Mathematical Society
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• v.60 no.6
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• pp.1497-1522
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• 2023

In this paper we compute the Bredon homology of wallpaper groups with respect to the family of finite groups and with coefficients in the complex representation ring. We provide explicit bases of the homology groups in terms of irreducible characters of the stabilizers.

• Proceedings of the Korean Information Science Society Conference
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• 1999.10c
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• pp.408-410
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• 1999

본 논문에서는 PNNI의 복합 노드 표현을 지원하는 다계층 라우팅 알고리듬에 대해서 제안한다. PNNI는 다 계층 방법으로 여러 망을 연결하여 비교적 광범위한 망을 지원할 수 있다. 다계층 형성시 가상 그룹 노드(Logical Group Node)는 하위 피어 그룹(Peer Group)에 대한 묘사를 하게 되며 이를 복합 노드 표현(Complex Node Representation)이라 한다. 복합 노드 표현 정보를 이용한 최단 경로 결정은 매우 어려운 일이다. 이에 복합 노드 표현 정보를 단순 노드 표현(Simple Node Representation)화 하여 보다 쉽고, 정확하며, 보편적으로 적용 가능한 라우팅 방법에 대해서 제안하고자 한다.

• Proceedings of the KIEE Conference
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• 2001.07d
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• pp.2576-2578
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• 2001

Elliptic curve cryptosystems based on discrete logarithm problem in the group of points of an elliptic curve defined over a finite field. The discrete logarithm in an elliptic curve group appears to be more difficult than discrete logarithm problem in other groups while using the relatively small key size. An implementation of elliptic curve cryptosystems needs finite field arithmetic computation. Hence finite field arithmetic modules must require less hardware resources to archive high performance computation. In this paper, a new architecture of finite field multiplier using conversion scheme of normal basis representation into polynomial basis representation is discussed. Proposed architecture provides less resources and lower complexity than conventional bit serial multiplier using normal basis representation. This architecture has synthesized using synopsys FPGA express successfully.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.15 no.3
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• pp.1404-1413
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• 2014

The purpose of this study is to figure out the effects of multimedia fairy tale and narrative fairy tale lectures on children's language expression ability and drawing representation ability. To achieve this, this study was conducted from March to April, 2011 with 50 five-year-old children(25 children in the experimental group and 25 children in the comparative group) in K and S kindergartens at D metropolitan city. The results were as follows. First, the score of children's language expression ability was higher in the multimedia fairy tale lecture group than in the narrative fairy-tale lecture group. Second, the score of children's drawing representation ability was higher in the multimedia fairy tale lecture group than in the narrative fairy-tale lecture group. As for findings stated above, educational activities with multimedia were important in early childhood education. Consequently, children can better understand stories through multimedia fairy tales and various language activities, and improve their language expression ability and drawing representation ability through the process of exploring and drawing heroes in fairy tales. However, they have more need of educational activities, which are complementary to the merit of narrative fairy tale, than educational activities for only multimedia fairy tale lecture.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.5 no.1
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• pp.25-33
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• 2001

Let G be a finite group with a probability measure. We investigate the random walks on G in terms of ergodicity of the associated skew product transformation.

• Korean Journal of Mathematics
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• v.16 no.3
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• pp.271-280
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• 2008

In this paper, we initiate a study of faithful R-group G and some substructures of R and G. Next, we investigate a faithful representation of near-ring R and some properties of monogenic Rgroups.

• Journal of The Korean Association For Science Education
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• v.34 no.6
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• pp.583-592
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• 2014

The purpose of this study is to investigate the impact of argument-based modeling strategy using scientific writing on student's modeling ability. For this study, 66 students (three classes) from the 7th grade were selected and of these, 43 students (two classes) were assigned to two experimental groups while the other 23 students (one class) were assigned to comparative group. In the experimental groups, one group (22 students) was Argument-based multimodal Representation and Modeling (AbRM), and the other group (21 students) was Argument-based Modeling (AbM). Modeling ability consisted of identifying the problem, structuring of scientific concepts, adequacy of claim and evidence and index of multimodal representation. As for the modeling ability, AbRM group scored significantly higher than the other groups, AbM group was significantly higher than comparative group. The four sub-elements of modeling ability in the AbRM group was significantly higher than the other groups statistically and AbM group scored significantly higher than comparative group. From these results, the argument-based modeling strategy using scientific writing was effective on students' modeling ability. Students organized or expressed the model and evaluated or modified it through the process of argument-based modeling using scientific writing and the exchange of opinions with others by scientific language as argument and writing.

• Journal of the Chungcheong Mathematical Society
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• v.20 no.4
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• pp.367-373
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• 2007

For a unital *-subalgebra of the space $\mathcal{L}^a(X)$ of all adjointable maps on a Hilbert $\mathcal{B}$-module X with a $C^*$-algebra $\mathcal{B}$, we study unitary operator (in such algebra)-valued multiplier ${\sigma}$ on a normal, generating subsemigroup S of a group G with its extension to G. A dilation of a projective isometric ${\sigma}$-representation of S is established as a projective unitary ${\rho}$-representation of G for a suitable unitary operator (in some algebra)-valued multiplier ${\rho}$ associated with the multiplier ${\sigma}$ which is explicitly constructed.

• KSII Transactions on Internet and Information Systems (TIIS)
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• v.10 no.6
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• pp.2748-2766
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• 2016

Compared with traditional patch-based sparse representation, recent studies have concluded that group-based sparse representation (GSR) can simultaneously enforce the intrinsic local sparsity and nonlocal self-similarity of images within a unified framework. This article investigates an accelerated split Bregman method (SBM) that is based on GSR which exploits image compressive sensing (CS). The computational efficiency of accelerated SBM for the measurement matrix of a partial Fourier matrix can be further improved by the introduction of a fast Fourier transform (FFT) to derive the enhanced algorithm. In addition, we provide convergence analysis for the proposed method. Experimental results demonstrate that accelerated SBM is potentially faster than some existing image CS reconstruction methods.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.19 no.8
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• pp.441-448
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• 2018

This study examined the effects of Children's Social Development and Picture Representation Ability on Wordless Picture Books Activities. The study subjects were 30 children aged 3 years in K kindergarten: 15 in the experimental group and 15 in the comparative group. The experimental group was exposed to Wordless Picture Books Activities for 8 weeks. Image representation ability and social development test were conducted in both groups before and after the study. The after Wordless Picture Books Activities were found to be effective in linking various colors, detailed descriptions, harmonious spatial representations, various shapes, subject-related representations, uniqueness of representations, completeness of figure representations, and language representations. These study results are expected to validate the educational value of the wordless picture books meaningfully as teaching-learning materials in the field of early childhood education.