• Bulletin of the Korean Mathematical Society
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• v.29 no.2
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• pp.265-275
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• 1992

The characteristic free representation theory of the general linear group has found a wide range of applications, ranging from the theory of free resolutions to the symmetric function theory. Representation theory is used to facilitate the calculation of explicit free resolutions of large classes of ideals (and modules). Recently, K. Akin and D. A. Buchsbaum [2] realized the Jacobi-Trudi identity for a Schur function as a resolution of GL$_{n}$-modules. Over a field of characteristic zero, it was observed by A. Lascoux [6]. T.Jozefiak and J.Weyman [5] used the Koszul complex to realize a formula of D.E. Littlewood as a resolution of schur modules. This leads us to further study resolutions of Schur modules of a particular form. In this article we will describe some new classes of finite free resolutions associated to the Pieri type skew Young diagrams. As a special case of these finite free resolutions we obtain the generalized Koszul complex constructed in [1]. In section 2 we review some of the basic difinitions and properties of Schur modules that we shall use. In section 3 we describe certain exact complexes associated to the Pieri type skew partitions. Throughout this article, unless otherwise specified, R is a commutative ring with an identity element and a mudule F is a finitely generated free R-module.e.

• Journal of Korean Dental Science
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• v.17 no.1
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• pp.1-13
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• 2024

With the advances of digital scanning technology in dentistry, the interests in facial scanning in orthodontics have increased. There are many different manufacturers of facial scanners marketing to the dental practice. How do you know which one will work best for you? What questions should you be asking? We suggest a clinical guideline which may help you make an informed decision when choosing facial scanners. The characteristics of 7 facial scanners were discussed in this article. Here are some considerations for choosing a facial scanner. *Accuracy: For facial scanners to be of real value, having an appropriate camera resolution is necessary to achieve more accurate facial image representation. For orthodontic application, the scanner must create an accurate representation of an entire face. *Ease of Use: Scanner-related issues that impact their ease of use include type of light; scan type; scan time; file type generated by the scanner; unit size and foot print; and acceptance of scans by third-party providers. *Cost: Most of the expenses associated with facial scanning involve the fixed cost of purchase and maintenance. Other expenses include technical support, warranty costs, transmission fees, and supply costs. This article suggests a clinical guideline to make the right choice for facial scanner in orthodontics.

• Journal of the Korean housing association
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• v.24 no.1
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• pp.79-87
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• 2013

The purpose of the study is to verify the effect of the Domus type on the modern housing-typology. This article specifies conceptual architectural typology through studying housing types and the changes by comparing experimental results over time since the ancient to the modern times. To successfully establish the purpose of this article, I cited Saussure's verbal methodology of system and representation along with Deleuze's philosophical cause of differentiation and repetition. Also adopting Aldo Rossi's architectural theory of typology, I established theory of housing continuation and alteration. I will compare and analyze particularly the Domus type, Adolf Loos's M$\ddot{u}$ller house, Luis Barragan's house, Le Corbusier's Villa Sovoye, and Mies van der Rohe's Three court house. And I research on the difference between architectural representation of hall and courtyard in modern housing. This research looks to emphasize historical comprehension and practical application of architectural history through housing studies.

• Journal of Korean Elementary Science Education
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• v.40 no.1
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• pp.100-112
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• 2021

Based on the importance of visual representation for scientific understanding, this study applied visual thinking in elementary science classes. This study analyzed elementary students' visual thinking and investigated the instructional influences. Students' perceptions on the class applying visual thinking were also investigated. The subject were 38 fourth grade students, 18 in experimental group and 20 in control group. For the unit of 'Shadow and mirror', on-line and off-line blended classes were applied in both group because of COVID-19. The experimental group student were asked to construct their own visual thinking, while the control group students used traditional workbook. The results were as follows. First, students' visual thinking can be classified into three different types, which are 'activity recall type', 'result summary type', and 'core concept representation type' based on what they represent rather than how they represent. Second, applying visual thinking in science class showed significant effects on science academic achievement, science related attitude, and creative academic efficacy. Third, students' perceptions on applying visual thinking in science classes were very positive. Students perceived visual thinking activities were interesting and helpful for understanding science. Educational implications of applying visual thinking in elementary science classes were discussed.

• Journal of the Korean Chemical Society
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• v.64 no.1
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• pp.30-37
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• 2020

The purpose of this study was to identify the problems faced by students in sub-microscopic representation of acid-base reactions. Herein, we selected 30 students of 12^th grade science classes, who had studied various acid-base models. In order to investigate the sub-microscopic representation ability of the students, we developed nine items related to various contexts, such as one type of solute and solvent, two types of solutes and solvent, cases with water as solvent or with nonaqueous solvents. For all items, we consistently observed lack of concept of chemical change. In context of aqueous and nonaqueous solutions, the frequency of lack of concept of chemical bonding was high if ammonia was the solute or solvent. Moreover, the frequency of lack of concept related to the degree of electrolytic dissociation was high. Therefore, chemistry teachers should understand that students' ability to sub-microscopic representation of acid-base reactions can be enhanced by analyzing the difficulties faced by the students in solving diverse acid-base problems.

• Korean Journal of Mathematics
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• v.19 no.2
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• pp.111-127
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• 2011

We prove the uniqueness solvability of the Tricomi problem for the elliptic - hyperbolical equation of the second type by using a new representation of the solution in the generalized class R.

• Journal of Korean Institute of Industrial Engineers
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• v.3 no.2
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• pp.93-97
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• 1977

PERT/CPM type scheduling systems use a network to graphically portray the interrelationship among the activities of a project. This network representation of the project schedule shows all the precedence relationship regarding the order in which tasks must be performed. In this paper an algorithm is presented that changes the network configurations without violating precedence relationship of the original network.

• Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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• 2002.05a
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• pp.227-233
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• 2002

For the purpose of high outlet pressure, compactness and low vibration and noise, modem reciprocating air compressors are tend to have a multi-stage W-type or V-type cylinder arrangement. An effective counter weight calculation method is presented for reducing the inertia forces of the compressor. This calculation method is using the complex representation and verified its validity. A design program for the counter weight of W-type or V-type air compressor was presented to the manufacturer, A designed counter weight was attached to the W-type or V-type air compressor. Vibration test results gave us improved performance.

• Communications of the Korean Mathematical Society
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• v.14 no.1
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• pp.157-169
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• 1999

We consider the C\ulcorner-algebra O\ulcorner generated by infinite isometries \ulcorner,\ulcorner, …on Hilbert spaces with the property \ulcorner \ulcorner$\leq$1 for every n$\in$N. We present certain type of representations of C\ulcorner-algerbra O\ulcorner on a separable Hilbert space and study the conditions for irreducibility of these representations.

• Journal of the Korean Institute of Landscape Architecture
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• v.24 no.3
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• pp.150-163
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• 1996

This study was carried out to find the general representation methods of wall with respaect to the Korean treaditional atmosphere based on case studies, 16 case studies were classified into two categores : traditional walls and designed walls expressing the treaditional atmosphere. And the representation methods of walls were viewed by two sides : the type of message and the role of sign. The results were summarized as follows ; ■ To reproduce the traditional walls is possible, in this case the role of sign is icon. ■ To reproduce or represint the visual element of the traditional walls will be also possible, in this case the role of sign is index. It is recommended to use 3 types of message in representing methods of walls expressing the Korean traditional atmosphere. ■ Shape ; Approach to shape is more effective than maerial or figure. It is possible to represent the shape element of the traditional walls. Specially, it will be effective to utilize the capital of traitional walls as shape element. ■ Material ; Conventional materials with less artificial processing used at traditional walls will be better suited. ■ Figure ; To utilize the traditional figures is possible. Specially, it will be effective to utilize the traditional figures as design approach with respaect to the sense of place. Futher research is required to find out the relationship between the meaning and the design mechanics.