• 대한수학회지
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• 제36권2호
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• pp.421-430
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• 1999

In this paper we investigate representation groups of wreathed 2-groups and explicitly determine all the linearly inequivalent irreducible projective representations of wreathed 2-groups.

• 충청수학회지
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• 제16권2호
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• pp.59-73
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• 2003

Throughout this paper, we denote that R is a near-ring and G an R-group. We initiate the study of R-substructures of G, representations of R on G, monogenic R-groups, faithful R-groups and faithful D.G. representations of near-rings. Next, we investigate some properties of monogenic near-ring groups, faithful monogenic near-ring groups, monogenic and faithful D.G. representations in near-rings.

• 대한수학회보
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• 제60권6호
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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.

• 대한수학회논문집
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• 제11권3호
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• pp.547-555
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• 1996

In this paper, we shall study the generalized covering group which plays a role for Schur multiplier. We discuss the lifting property over covering group and product of covering groups.

• 아동학회지
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• 제21권2호
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• pp.171-188
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• 2000

The level of representation, exploration and artistry by age and sex was examined in twenty children in each of 4-, 5-, and 6-year old groups attending an early education facility in Pundang City, Kyong'gi Province. Evaluation was by the scoring system used in the Project Spetrum(Krechevsky, 1994) with children's drawings of an animal, person, imaginary animal and 3D work with clay. Data were analyzed by 2-way ANOVA and Duncan test. The level of representation was lower than exploration and artistry in the 4-year-old groups. Level of artistry was lower than representation and exploration in the 5-and 6-year-old groups. The older children and girls showed higher scores than the younger children and boys in representation and exploration. There were differences between 4-and 5-year old children in artistry development.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제15권3호
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• pp.229-243
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• 2008

This paper is intended to clarify and verify two representation algorithms computing representations of elements of free groups generated by two linear fractional transformations. Moreover in practice some parts of the two algorithms are modified for computational efficiency. In particular the justification of the algorithms has been rigorously done by showing how both algorithms work correctly and efficiently according to inputs with some properties of the two linear fractional transformations.

• 한국CDE학회논문집
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• 제9권4호
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• pp.306-314
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• 2004

This paper explains the qualitative shape representation scheme and general shape analysis procedure based on shape feature categories. It takes two different groups of architectural drawings as examples and comparer them so as to confirm that the procedure is capable of comparing one group with another. In order to verify the validity of qualitative shape representation scheme, we used statistical methods as well as symbolic representation and analysis techniques. This paper concludes that two different groups of architectural drawings of similar kind are analyzed to be distinguished and specifically characterized. 11 drawings of Kahn and 13 drawings of Aalto are taken into considerations. Linear regressions are used in characterizing the shape featural relationships.

• 대한수학회논문집
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• 제21권1호
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• pp.17-25
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• 2006

In this paper, we study the right regular representation $R_\Gamma$ of a finite group G on the vector space consisting of vector valued functions on ${\Gamma}/G$ with a subgroup r of G and give a trace formula using the work of M. -F. Vigneras.

• BMB Reports
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• 제41권3호
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• pp.217-222
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• 2008

Based on a five-letter model of the 20 amino acids, we propose a new 2-D graphical representation of protein sequence. Then we transform the 2-D graphical representation into a numerical characterization that will facilitate quantitative comparisons of protein sequences. As an application, we construct the phylogenetic tree of 56 coronavirus spike proteins. The resulting tree agrees well with the established taxonomic groups.

• Journal of applied mathematics & informatics
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• 제40권3_4호
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• pp.531-543
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• 2022

The article proposed a new type of data relationship: Positive Boolean dependencies by groups on block and slice in the database model of block form, where instead of considering value pairs, we consider a group of p values (p ≥ 2). From this new concept, the article stated and demonstrated the equivalence of the three types of deduction, namely: deduction by logic, deduction by block with groups, deduction by block has no more than p elements with groups. Operations on blocks or slices performed for index attributes on blocks, the properties related to this new concept as theorem the equivalen of the three types of deduction, closure of set positive Boolean dependencies by groups and representation and tight representation set of positive Boolean dependencies by groups when the block degenerated into relation are true in the relational database model and also stated and proven in this paper.