• Title/Summary/Keyword: complex space

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LINEAR MAPPINGS, QUADRATIC MAPPINGS AND CUBIC MAPPINGS IN NORMED SPACES

  • Park, Chun-Gil;Wee, Hee-Jung
    • The Pure and Applied Mathematics
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    • v.10 no.3
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    • pp.185-192
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    • 2003
  • It is shown that every almost linear mapping $h{\;}:{\;}X{\;}{\rightarrow}{\;}Y$ of a complex normed space X to a complex normed space Y is a linen. mapping when h(rx) = rh(x) (r > 0,$r\;{\neq}\;1$$x{\;}{\in}{\;}X$, that every almost quadratic mapping $h{\;}:{\;}X{\;}{\rightarrow}{\;}Y$ of a complex normed space X to a complex normed space Y is a quadratic mapping when $h(rx){\;}={\;}r^2h(x){\;}(r{\;}>{\;}0,r\;{\neq}\;1)$ holds for all $x{\;}{\in}{\;}X$, and that every almost cubic mapping $h{\;}:{\;}X{\;}{\rightarrow}{\;}Y$ of a complex normed space X to a complex normed space Y is a cubic mapping when $h(rx){\;}={\;}r^3h(x){\;}(r{\;}>{\;}0,r\;{\neq}\;1)$ holds for all $x{\;}{\in}{\;}X$.

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SHAPE OPERATOR AH FOR SLANT SUBMANIFOLDS IN GENERALIZED COMPLEX SPACE FORMS

  • KIM, DONG-SOO;KIM, YOUNG-HO;LEE, CHUL-WOO
    • Bulletin of the Korean Mathematical Society
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    • v.42 no.1
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    • pp.189-201
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    • 2005
  • In this article, we establish relations between the sectional curvature function K and the shape operator, and also relationship between the k-Ricci curvature and the shape operator for slant submanifolds in generalized complex space forms with arbitrary codimension.

Three-dimensional Mixed-use Complex Spaces and Setting Criteria for Road Sections for Three-dimensional Addressing

  • Kim, Ji Young
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.38 no.5
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    • pp.455-465
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    • 2020
  • As cities continue to expand and additional underground structures are constructed, a policy is being planned to expand addresses, which are national framework data. In this study, the application scope of a proposed 3D (three-dimensional) mixed-use complex space for assigning 3D addresses was defined, based on past research on 3D address systems and by analyzing related laws. Underpass shopping malls, underground walkways (excluding underground shopping malls), and 3D mixed-use transfer centers with a gross floor area of 2,000㎡ or more are connected with each space by underground walkways or public paths. In addition, the detailed space corresponding to the public space of the 3D mixed-use complex space was presented and distinguished from the space to which the detailed address is assigned. The criteria for setting the road section were presented based on the intermediate space, which is a characteristic of 3D mixed-use complex spaces. The proposed criteria were applied to the Express Bus Terminal station (3D mixed-use transfer center) and COEX mall (underpass shopping malls). Thus, the road section was set for an unfamiliar 3D mixed-use complex space. However, by applying the proposed criteria to various 3D mixed-use complex spaces, additional and detailed criteria for different cases should be prepared.

A Case Study on the Natural Convergence Space as a New Type of Complex Cultural Space (새로운 복합문화공간 유형으로서 자연융합형 공간에 관한 사례연구)

  • Lee, Jae-Min;Kwon, Ki-Chang
    • Journal of Korea Multimedia Society
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    • v.21 no.11
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    • pp.1333-1341
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    • 2018
  • Recently, alleys, villages and traditional market spaces have been recreated as complex cultural spaces due to urban renewal or village community policies. However, previous studies only refer to buildings such as museums and libraries in dealing with complex cultural spaces. The purpose of this study is to suggest the recreated complex cultural space as a natural convergence type and analyze its characteristics. Therefore, this study aims to reestablish the concept and type of the newly created complex cultural space. For this study, Busan Bosu-dong Bookstores Alley, Daegu Kim Gwangseok-street, Andong Traditional Market and Andong Shin-sedong Mural Village were selected as research examples. As a result of the study, the natural convergence space reflects the locality of the contents constituting the space, and the various values are convergenced. And this type of space is being reborn as an advanced case of urban regeneration and serves as a representative tourist destination in the region. As a next study of this study, we proposed social studies such as quantitative research and qualitative research.

Analysis on Residents Behavior and Determinants of Satisfaction to the Exterior Space in High-rise Apartment complex. (도시 고층아파트단지 주거민의 외부공간 이용행태 및 만족요인 분석)

  • 이현택;이철희
    • Journal of the Korean Institute of Landscape Architecture
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    • v.18 no.2
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    • pp.79-93
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    • 1990
  • The purpose of this study is to establish better residential environment in APT. complex. In this study, the actual conditions of exterior space, user behavior and degree of satisfaction are investigated and analyzed on the 5 high-rise story APT complex in Taegu city. The results of this study were as follow ; The size and arrangement of organizational elemnnt to exterior space in APT. complex have been regulated by law and regulations as the buildings coverage and floor space index, but housinghold and accessibility to the racility will be simultaneously considered to raise Quality of the residential environoment. The main user behavior to exterior space in APT. complex was practical activity and the user behavior pattern by week and among APT. complex were found similiarly. In the ratio of use to exterior space in APT. Complex, that of high-rise residents were lower than that of lowrise residents. In the degree of satisfaction by property of variables to exterior environment In APT. comples, physical of buildings, social - psychologic, managerial economical, physical property of exterior space were estimated positively, but properly of facility were estimated negatively. The degee of satisfaction to exterior environment in APT. complex was highly Influenced by green space, site size. As a result of ractor analysis, the four factors were drawn out from exterior environment in APT. complex. and the factors that have an effect on the degree of residents' satisfaction by factorscore were found in the order of importance as fallow ; managemental, physical, environmental, organizalional factor. Therefore, devilopment of APT. complex should be considered in a view of environmental psychology according to physical organization for used in the future. It is recommended that this problems should be necessitated to be more deeply studies in the future.

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The Study on the Spatial Relativism of Indoor Plaza in Complex-Cultural Facilities (복합문화시설의 실내광장에 나타난 상대적 공간개념)

  • 김선영
    • Korean Institute of Interior Design Journal
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    • no.40
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    • pp.52-59
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    • 2003
  • Complex-cultural facilities in the contemporary era are significantly influenced by the anti-modernism and space relativism movement of the 20th century. Complex-cultural facilities have the complex-layered space. In many contemporary buildings, this complex-layered space has void center space within it which primarily functions as indoor plaza. This study pays attention to the fact that the design of indoor plaza has developed differently in Europe and the US, which vividly demonstrates spatial relativism in contemporary buildings. With this backdrop, I analyze the architectural and cultural backgrounds of indoor plaza in Europe and the US. In addition, I examine the cultural functions and visual interpretation of indoor plaza in the regions to compare the design features and functionality.

A Comparative Study on the Spatial Composition of the Hydro-therapy Complex Using a Hot Spring Water (온천수를 이용한 수치료 시설의 공간구성 비교 연구)

  • Kim, In-Soon;Kang, Byoung-Keun
    • Journal of The Korea Institute of Healthcare Architecture
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    • v.9 no.2
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    • pp.17-24
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    • 2003
  • The purpose of this study was to analyze the Comparative Study to extract the spatial factor of Hydro-therapy complex in the health spa facilities that was composed of the Hydro-therapy space, sport space, leisure space, lodging space, adminstration space. The results of this study were as follows ; the hot spring complex in korea can be converted into the hydro-therapy complex. The spatial factor of functional replacement must include to the consultation room, medical cure room, inspection room and the exercise consultation pool as the consultation space.

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