• The Pure and Applied Mathematics
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• v.18 no.1
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• pp.31-39
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• 2011

Stone's theorem states that "A bounded linear operator A is infinitesimal generator of a $C_0$-group of unitary operators on a Hilbert space H if and only if iA is self adjoint". In this paper we establish a generalization of Stone's theorem in the framework of Hilbert $C^*$-modules.

• Korean Journal of Heritage: History & Science
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• v.42 no.2
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• pp.86-109
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• 2009

Mireuksa Temple was founded during the reign of King Mu of Baekje(AD 600-641). The circumstance of the construction of this temple is documented in "Memorabilia of the Three Kingdoms (Samgukyusa)". The pagoda named stone pagoda at Mireuksaji temple stands outside the main sanctuary of the western area. The south and west sides of the stone pagoda have completely collapsed, leaving only the eastern facade of six of its levels intact. Through the recent discovery of sarira reliquary we can see that the erection of this pagoda was in 639. So owing to accumulation of excavation results about Baekje temple site and vigorous academic exchange, it is possible that architecture of western pagoda at Mireuksaji temple can be understood in connection with the architectural development of wooden pagoda from 6th to early 7th century in East Asia. So this study is on the consideration of building of this pagoda putting first structure of upper part and cross-shaped space in 1st floor. It was considered that the material characteristics as stone could be applied to the temple pagoda architecture of large scale. The results are as follows. First, it had been built in recognition that the outer and inner part of pagoda should be separated. As it is the expression of structural system in temple pagoda architecture of large scale at that time. In pagoda there was a self-erected structure and the members of outer part of it were constructed additionally. Second, in Mireuksaji stone pagoda there is central column with stones. With inner part of pagoda it can be regarded as mixed structural system that constitutes central contral column and inner structural part. And it could be a kind of middle step to more developed structure of whole as wooden pagodas in Japan. Third, as the sarira reliquary was in central column on the first floor, the cross-shaped space could be made. The formation of this space was so on the natural meaning of sarira that the concept as memorial service of graves could be apllied to the pagoda. The style of tomb in Baekje was expressed to the space of 1st floor in pagoda where Sarira had been mstalled. That was not only effective presentation of symbolic space but also easier method in the use of same material.

• Korean Institute of Interior Design Journal
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• v.18 no.1
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• pp.108-116
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• 2009

As an aging society accelerates its pace for the present, providing a pleasant environment to nursing homes is such an environmental requirement with which elderly people could improve their quality of life and even acquire the effects of healing. As an optimal element of ensuring amenity, nature is a general hospital that heals human beings physically and mentally. In this vein, the investigator drew out the frame of analysis, namely emotional/healing/relating amenity, by means of theoretical examination of such natural elements as water, light, soil/stone, and plant. And on the basis of the drawn amenity, the investigator examined the application of natural elements to study subjects in order to analyze the ensured amenity. Study findings show that the existing nursing homes have ensured healing amenity sufficiently, but they are unsatisfactory in ensuring emotional and relating amenity. Based on interview survey, the investigator suggests that the introduction of natural elements into nursing homes such public space as mediation space, interaction space, and rest places to ensure emotional/healing/relating amenity must be ideally equipped with the formation of outdoor forest in which water, light, soil/stone, and plant get joined together, rather than Introducing a single element respectively. In addition, the plan of construction of nursing homes must take residing elderly people's emotional/healing/relating amenity into account on the basis of physical amenity.

• Journal of the Korean Institute of Traditional Landscape Architecture
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• v.32 no.2
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• pp.12-26
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• 2014

This study has researched the forms of arrangement and use of the oddly shaped stones which were used at palaces during Joseon Dynasty based on arrangements of stones as shown in Donggwoldo(東闕圖), and tried to identify its special features. The sorts of stone's arrangements which set formal patterns by assisting an axis in Donggwoldo can be classified as the single type using one stone, the symmetrical type using 2 stones symmetrically and the parallel type using 3 or more stones. The single type was used to endow a focal point and to accent centrality by arranging a stone on the axis performed from formal shaped buildings. The symmetrical type was used to show order and hierarchy by placing two odd-shaped stones on either side of a building. And the parallel type which is arranged three stones side by side, is put a middle stone on the central axis line to determine strong directional and frontality. Also similarity to method of arrangement of stones can be found from planting trees in a prominent way for scenery or planting trees symmetrically. Stones and trees can be chosen according to nature and scale of places and basically their effects of formation of axis and creating typical space is same. Based on these respect, the characteristics of arrangement of stones shown in Donggwoldo can be briefly summarized as follows. First, the oddly shaped stones were used by creating a centripetal space in order to show a grade of rank. Second, the distances among stones could be adjusted to the sizes of the architecture which was at the center. The aim was to provide stability through the balanced composition between the central axis and symmetrical structures. Third, the form of regularity was added by using stone vase in consideration of irregular shape of stone causing interference in forming regular symmetry. Fourth, a centrality was emphasized by adding change to central stones in the parallel type used 3 erect stones. Fifth, the sizes of stone were limited in order to make smooth for the mix and adjustment of its position with the types of other garden ornaments, so the oddly shaped stones in palace have portability. Sixth, the oddly shaped stones in palace which were appreciated as inspirational object basically were a sculpture of the same quality with suiseki (壽石), and the appreciative method, the composition and shape had developed in the same texture. Finally, the even number of stones by parallel type were arranged by equal partition. But odd number of stones followed the method with symmetrical arrangement on its center stone. These principles of stone arrangement are judged as distinguishing methods which oddly shaped stones was made and used in Joseon palaces.

• Journal of the Korean Institute of Traditional Landscape Architecture
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• v.41 no.1
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• pp.21-34
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• 2023

This study identified the materials and construction methods of 'Old Wall' in 13 villages which were designated as National Registered Cultural Heritage at the time of designation and examined the their structural changes based on field survey. The results are as follows: First, the 'Old Wall' consisted of 10 Soil-Stone Wall and 5 Stone Wall. At the time of designation, Stone Wall, which was built irregularly by dry-construction of natural stones, is similar in shape, but Soil-Stone Wall showed difference by the construction method of making used stones, joints, and faces. Second, the study extracted the changes of 'Old Wall' by repair and examined the changes of construction methods as well as the substitution and addition of materials of structure. The wall-roof was built with cement roof-tile and asbestos slate which have the advantage improve durability and cost-effectiveness. In addition, tile-mouth soil was added to korean traditional roof-tile to prevent rainwater from flowing in. Besides, to improve constructional convenience, the natural stone of the wall-body was replaced with blast stone, float stone and cut stone. Cement block, cement brick and cement mortar were frequently used to repair as well. As Soil-Stone Wall was transformed from irregular pattern-construction to comb pattern-construction and wet-construction was changed to dry-construction, it caused landscape and structural problems. Also, the layer of cement mortar applied to wall-foundation blocked the flow of rainwater that was induced by dry-construction of natural stones. Third, the study regarded that the problem with the repair of 'Old Wall' may occur as it is located in living space, because the owner of the wall could repair for the minor damages without technical knowledge. In addition, it is difficult for repair companies in charge of maintenance of Cultural Heritage to supply local materials, and it is differential construction specifications are not applied.

• Korean Journal of Heritage: History & Science
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• v.43 no.1
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• pp.160-189
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• 2010

This study has been designed to grasp the present situation, shapes and meaning of the standing stones and rock pillars in the whole area of Noseong Mountain Fortress in Nonsan City which have never been academically reported yet. Accordingly, the research was carried out to grasp the spatial identity of Noseong Mt. and Noseong Mountain Fortress and the dispersion of standing stones scattered around inside and outside Noseong Mountain Fortress, while the shapes and structural characteristics of stones were investigated and analyzed focusing on Chongsuk Temple, which was considered to have the highest density of standing stones and greatest values for preservation as a cultural property. In consideration of the reference to the 'Top Sa' (tower temple) at the 'Bul Woo Jo' (Article about Buddhism Houses) of 'Shinjoong Dongguk Yeoji Seungram', theoretical existence of the temple according to surveying investigation, and the excavation records of roof tile pieces with the name of 'Gwan Eum Temple', it is presumed that there had been a Buddhist sanctum inside the fortress and it could be connected to the carved letters, 'Chongsuk Temple'. According the observation survey, the 6th place of standing stones among many other places inside the fortress shows that Chongsuk Temple appears to have the strong characteristics of artificially constructed space in consideration of the size of trees and stones, the composite trend of tree and stone composition, and trace of the adjacent well and strand and the construction of stairway leading to the stone gate. Along with the constellation of the Big Dipper carved on a rock at the same space, the stones, on which the letters of 'Shinseonam', 'Chilseongam' and 'Daejangam' were carved, including 'Chongsuksa', and the carved statue of Buddha, which was assumed to be Avalokitesvara Guan Yin, have offered clue which make it possible to infer that the space was a space for Chilseong and Mountain god(Folk Belief) that had originated from the combination of Buddhism, Taoism and folk religion. According to the actual measurement of standing stones at Chonsuk Temple, it was identified that there were big differences in height among 24 stones in total, ranging from 402~29cm and the averaged distance between each stone appeared to be 23.6cm. And the shape of stones appeared to be standing or flat, and various stones such as mountain-like stones and Buddha-like stones were placed in a special arrangement or assorted arrangement, but the direction of the stones had a consistency pointing to the west. And comparing to the trace of construction of ZEN Landscape Garden well known in the country, the three flat stones except for the standing and shaped stones appeared to have the shape of meditation statue, which is the typical formational factors of a ZEN Landscape Garden, on the basis of formational technique of stones. Among them, the flat stone facing the Buddhist saint statue, was formed by way of symbolization of three-mountain stone, which was assumed to be an offering stone for sacrificial food rather than carrying out ZEN Meditation. In consideration of the formation of standing stones at Chong-suk Temple, which was carried out in the composite stoning method based using the scalene triangle with ratio of 3:5:7 in order to seek the in-depth beauty based on the stone statues of three Buddhas where the three factors such as heaven, earth and humans are embodied in the elevated or flat formation, the stones at Chongsuk Temple and the space seemed to the trace of contracted garden construction that was formed with stones for a temple, so that could be used for ZEN meditation.

• The Bulletin of The Korean Astronomical Society
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• v.40 no.1
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• pp.70.1-70.1
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• 2015

Korea Astronomy and Space Science Institute(KASI) joined the Gemini Observatory as a 'Limited-Term Partner' in 2014, and is providing the Gemini facility for Korean community through K-GMT Science Program starting from 2015. The access to Gemini facility is expected to open a new window of opportunities in the field of optical and infrared observational researches and to help efficient development of science cases for GMT. We will present the short and long-term expectations and possible outcomes of the KASI-Gemini partnership.

• 보존과학연구
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• s.31
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• pp.103-120
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• 2010

Most of the important stone cultural heritage (National treasures and Treasures) in Korea are mainly located outdoor and considerably affected by the changes of the temperature, humidity and rainfalls. 541 of the stone cultural heritage are preserved as National treasure and Treasure. The pagodas occupy 187 remains and next 127 Buddha statues, 68 monuments, 60 stupas, and the others 74 stone cultural heritages. The shelter has been installed for one pagoda, 60 Buddha statues, 36 monuments and two stupas. The shelters are categorized in three shapes as traditional shape, modern shape, and others (tradition+modern). Approximately 100 of shelters that have constructed in traditional ways, and about nine of shelters have modern ways, and the only one has the combination shape of tradition and modern, which has been constructed since mid 1900s and repaired from the 1980s~2000s. Many researchers are studying for improvement of manners such as repairing, remodeling or removing of the shelter because problems have occured on shelters. Architectural form of traditional style of Korean timber building is respected, but it has problems on importing natural sunlight to the inside as well as ventilation and spacial problems. However, it needs to supplement policies to improve the positive roles of shelters such as prevention of artificial damage, blocking acid rain, and so on. For instance, the rock-carved Buddha Triad in Seosan, it had problems with viewing, contamination, and dew condensation on the surface. These problems decreased after dismantling the shelter, the space was made for improvement of viewing and dew condensation, and moisture problems were in better conditions. The velocity wind is an important factor in drying conditions on the surface of the rock, therefore the condition has improved after dismantling the shelter.

• The Journal of the Institute of Internet, Broadcasting and Communication
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• v.19 no.5
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• pp.211-217
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• 2019

The three major inventions of Jeju include the field wall of Kim Koo Pan Gwan in 1234, Jeongnang in the custom of grazing the people of Jeju, and Olleh in the tomb of Munbang-gui in 1406. Field wall, Oedam from the stone and the stone of numerical play, made Koendang, a friendship society. Even with a typhoon that is more than 30m/s, the Koendang which is about 1.5m high, will not collapse. Similarly, the main family networks of Jeju society do not collapse under any difficulties situation. When building a field wall, two stones, which are under the ground, are placed side by side, and the upper left stone is placed on top and the upper right stone is attached regularly. One stone or two stone is attached from the bottom to the top, and when a stone is small or large, a flat field is formed in one space. The Family networks is close to the grandfather, grandmother, father, mother, and me, and the distant kin represents a horizontal relationship. The field wall is a vertical relationship that builds up from bottom to top of the vertical relation, while the Koendang is a horizontal relationship where blood is distributed to the grandson of his upper grandparents. This paper proves by a non-orthogonal symmetric weighted Hadamard matrix of whether the stone in the middle of a field wall has large stones (small).

• Communications of the Korean Mathematical Society
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• v.37 no.1
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• pp.17-29
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• 2022

A commutative ring with unity R is called an EM-ring if for any finitely generated ideal I there exist a in R and a finitely generated ideal J with Ann(J) = 0 and I = aJ. In this article it is proved that C(X) is an EM-ring if and only if for each U ∈ Coz (X), and each g ∈ C^* (U) there is V ∈ Coz (X) such that U ⊆ V, ${\bar{V}}=X$, and g is continuously extendable on V. Such a space is called an EM-space. It is shown that EM-spaces include a large class of spaces as F-spaces and cozero complemented spaces. It is proved among other results that X is an EM-space if and only if the Stone-Čech compactification of X is.