• Journal of the Chungcheong Mathematical Society
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• v.31 no.4
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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.

• Journal of the Korean Institute of Telematics and Electronics
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• v.25 no.12
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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.

• Journal of Korean Tunnelling and Underground Space Association
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• v.18 no.2
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• pp.165-173
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• 2016

This paper dealt with contents on the performance evaluation of standardized steel and non-standardized steel of lattice girder. Lattice girder is arch type tunnel supports made of structural steel bar and it is girder used to ensure the stability of tunnel by suppressing any transformation of ground as much as possible during tunnel excavation. The performance evaluation of lattice girder can be conducted through bending strength test, tensile strength test and tunnel standard specification specifies that welding structural steel with over 500MPa yield strength shall be used. However, it is difficult to distinguish visually between standardized steel and non-standardized steel onsite if low-quality structural steel is used. Accordingly, this paper conducted performance evaluation of standardized steel and non-standardized steel of lattice girder to point out the issue of deteriorated yield strength of non-standardized steel, while proposed a method of verifying yield strength onsite.

• Journal of Korean Association for Spatial Structures
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• v.12 no.4
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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.

• Journal of Fashion Business
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• v.24 no.3
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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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• v.27 no.1_2
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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.

• Journal for History of Mathematics
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• v.23 no.2
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• pp.101-121
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• 2010

This article includes an introduction, a history of Pick's theorem on lattice polyhedron and its proof, Reeve's theorem on 3-dimensional lattice polyhedrons extended from the Pick's theorem and Ehrhart polynomial generalized as an n-dimensional lattice polyhedron, and then shows the relationship between the volume of 3-dimensional polyhedron and the number of its lattice points by means of Reeve's theorem. It is aimed to apply the relationship to the visualization of sums in sequences.

• Bulletin of the Korean Mathematical Society
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• v.41 no.2
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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?

• Journal of architectural history
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• v.10 no.1 s.25
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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.

• Journal of Korean Association for Spatial Structures
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• v.13 no.4
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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.