• 충청수학회지
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• 제31권4호
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• pp.387-396
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• 2018

Topology may described a pattern of existence of elements of a given set X. The family ${\tau}(X)$ of all topologies given on a set X form a complete lattice. We will give some topologies on this lattice ${\tau}(X)$ using a fixed topology on X and we will regard ${\tau}(X)$ a topological space. Our purpose of this study is to comparison new topologies on the family ${\tau}(X)$ of all topologies induced old one.

• 대한전자공학회논문지
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• 제25권12호
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• pp.1633-1638
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• 1988

This paper proposes the lattice-structured space subdivision method using bounding volume to reduce a great number of ray-surface intersection calculations in ray tracing algorithm for the computer graphics. We show that this method reduced 50%-70% calculations compard to pre-exist method by experiments.

• 한국터널지하공간학회 논문집
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• 제18권2호
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• pp.165-173
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• 2016

본 논문은 격자지보재의 규격자재와 비규격자재의 성능평가에 대한 내용을 다루었다. 격자보재는 강봉으로 제작된 아치형의 터널지보공을 말하며 터널 굴착시 지반의 변형을 최대로 억제하여 터널의 안정성을 확보하기 위하여 사용되어지는 지보재이다. 이런 격자지보재의 성능평가는 휨강도시험과 인장강도시험을 통해 평가할 수 있으며 터널표준시방서에서는 항복강도 500MPa 이상인 용접용 강재를 사용도록 규정하고 있다. 그러나 저품질의 강재가 사용될 경우 현장에서 규격자재와 비규격자재를 육안으로 구분하기 어렵게 되었다. 따라서 본 논문에서는 격자지보재의 규격자재와 비규격자재에 대한 성능평가를 실시하여 비규격자재의 항복강도 저하의 문제점을 분석하였다.

• 한국공간구조학회논문집
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• 제12권4호
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• pp.109-118
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• 2012

The large-space single-layer lattice dome is relatively simpler in terms of the arrangement of the various framework members and of the design of the junction than the multi-layered lattice dome, can reduce the numbers and quantity of the framework members, and has the merit of exposing the beauty of the framework as it stands. The single-layer lattice dome, however, requires a stability investigation of the whole structure itself, along with an analysis of the stress of the framework members, because an unstable phenomenon called "buckling" occurs when its weight reaches critical levels. Many researchers have systematically conducted researches on the stability evaluation of the single-layer lattice dome. No construction case of a single-layer lattice dome with a 300-m-long span, however, has yet been reported anywhere in the world. The large-space dome structure is difficult to erect due to the gigantic span and higher ceiling compared with other common buildings, and its construction cost is generally huge. The method of erecting a structure causes major differences in the construction cost and period. Therefore, many researchers have been conducting various researches on the method of erecting such structure. The step-up method developed by these authors can reduce the construction cost and period to a great extent compared with the other general methods, but the application of this method inevitably requires the development of system supports in the center section as well as pre-existing supports in the boundary sections. In this research, the safety during the construction of a single-layer lattice dome with 300-m-long span using pre-existing materials was examined in the aspect of structural strength, and the basic data required for manufacturing the supports in the application of the step-up method developed by these authors during the erection of the roof structure were obtained.

• 패션비즈니스
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• 제24권3호
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• pp.121-137
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• 2020

This thesis makes it an aim to develop designs of Shinhanbok coats interpreting and applying the formative structure of the lattice window pattern in Huijeongdang of the Changdeokgung palace, one of the best architecture in Chosun dynasty. Literature review about the history and characteristics of the window of Huijeongdang of the Changdeokgung palace was performed on the basis of the internet resources and papers, and the examples of the fashion design applying the lattice window patterns were analyzed. Then, three style Shinhanbok coats were designed and presented with making use of 6 kind of lattice window patterns as its motif. The coats were designed in flexible size, attempting to clad any kind of body size and shapes. Design 1 drawn from Wanjasal, Tisal, Design 2 drawn from Ajasal, Yongjasal, Tisal, design 3 drawn from Bitsal, Jungjasal. In conclusion, lattice window patterns of the traditional beauty highlighted in view of modern times might be suggested as the motif for expressing the proportion with balance and rhythm with stability. The division of the space with the line was tried with the technique of the bias cutting, stitching and taping with the design of simplicity signified in the aesthetics of the vacant space in addition to its ornamental effects. Thus, this study would like to contribute to the popularity of the Shinhanbok outlined in modern application and unique taste through the study and applications of the traditional lattice window pattern of Korea.

• Journal of applied mathematics & informatics
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• 제27권1_2호
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• pp.195-203
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• 2009

In this paper, a necessary and sufficient condition for lattice sampling theorem to hold for frame in subspaces of $L^2$(R) is established. In addition, we obtain the formula of lattice sampling function in frequency space. Furthermore, by discussing the parameters in Theorem 3.1, some corresponding corollaries are derived.

• 한국수학사학회지
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• 제23권2호
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• pp.101-121
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• 2010

본 연구는 격자평면에서의 Pick의 정리에 대한 의의와 증명소개, Pick의 정리를 확장한 3차원 격자다면체에서의 Reeve의 정리 및 n차원 격자다면체로 일반화시킨 Ehrhart 다항식에 대한 소개와 역사적 고찰을 바탕으로 이를 고등학교 교육과정에서 다루고 있는 수열단원에 응용하기위해, Reeve의 정리를 이용하여 3차원 격자다면체의 격자점의 개수와 부피와의 관계를 제시하고, 나아가 Pick의 정리와 Ehrhart 다항식을 적용하여 수열의 합을 구하는 공식들을 새로운 증명법으로 도출하고자 한다.

• 대한수학회보
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• 제41권2호
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• pp.319-326
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• 2004

In this article, we investigate invertible interpolation problems in Alg(equation omitted) : Let(equation omitted) be a subspace lattice on a Hilbert space H and let X and Y be operators acting on H. When does there exist an invertible operator A in Alg(equation omitted) such that AX = Y?

• 건축역사연구
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• 제10권1호
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• pp.9-23
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• 2001

This study is for the Kyungduk-Dan(as a altar of Milsung-Daegun) and The Manun-Jae the characteristics(lay out and planning, window patterns, structure, materials) of the the Korean traditional house during the modern era. Before Manun-Jae was used for the house. The Kyungduck-Dan was constructed in August according to the Lunar Calender in 1927. The Manun-Jae(house for Ki-hun Kang, millionaire ) was completed in 1924. Modern Architectures brought to Korea with the bricks, the tiles, the flash doors, the plate grasses, the brass hardwares. These architectural material was used in positive. During the construction of Manun-Jae in 1924, it happened the architectural exchage among a korean, a chinese and a japanese constructor. Though using the air exhaust valve at the kitchen of Ukyung-Kak( old Anchae), it could be assume that the modern convenience and the improvement of residential environments was considered at that period during the construction of Manun-Jae. That construction was elected with the brick($222mm{\times}106mm{\times}50mm$), the chinese colored tile and plate glass such a modem materials. The new shape of the korean lattice window and the wooden flash-door with glass was used. In Ukyung-Kak, the Chan-Maru(service space) and the kitchen such as a service space or concise utility zone was organically connected. Especially, considered the domesitic activity and circulation, the western kitchen sink and the Chan-Maru(service space) was rationally placed. At the Manun-Jae and the Kyungduck-Dan, the architectural characteristic is that the new shape of windows was used. The lattice window at the Ondol room of Ukyung-Kak, was rgadually added the plate glass and the wood plate. The lattice window with the grid shape at kitchen of that building was adapted japanese grid lattice window in korea at that period. It is the sample that korean traditional house was typically influenced from the japanese resident culture. The Manun-Jae and the Kyungduck-Dan as the modern house kept the form of korean traditional architecture, and was partially adapted a modern characteristic space and modern architectural materials. During the japanese occupancy, these residence can be showed the transition in formally.

• 한국공간구조학회논문집
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• 제13권4호
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• pp.75-81
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• 2013

The circular hollow section is usually used for member of main frame to carry the external load in single layer lattice dome. But, the H-shaped section may be used for member of main frame since it is convenient for attaching roof panels. Single layer lattice domes have various buckling characteristics, such as the overall buckling, the member buckling, and nodal buckling. The purpose of this study is to compare buckling characteristics of single-layer lattice domes in which the H-shaped steel section as the existing domestically-produced structural steel is used as main frames to those of domes in which a circular hollow section is used as main frames.