• 제목/요약/키워드: flat space

검색결과 504건 처리시간 0.021초

HOMOGENEOUS FUNCTION AND ITS APPLICATION IN A FINSLER SPACE

  • Kim, Byung-Doo;Choi, Eun-Seo
    • 대한수학회논문집
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    • 제14권2호
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    • pp.385-392
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    • 1999
  • We deal with a differential equation which is constructed from homogeneous function, and its geometrical meaning in a Finsler space. Moreover, were prove that a locally Minkowski space satisfying a differential equation F\ulcorner=0 is flat-parallel.

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ON PROJECTIVELY FLAT FINSLER SPACES WITH $({\alpha},{\beta})$-METRIC

  • Park, Hong-Suh;Lee, Il-Yong
    • 대한수학회논문집
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    • 제14권2호
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    • pp.373-383
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    • 1999
  • The ($\alpha$,$\beta$)-metric is a Finsler metric which is constructed from a Riemannian metric $\alpha$ and a differential 1-from $\beta$;it has been sometimes treated in theoretical physics. The condition for a Finsler space with an ($\alpha$,$\beta$)-metric L($\alpha$,$\beta$) to be projectively flat was given by Matsumoto [11]. The present paper is devoted to studying the condition for a Finsler space with L=$\alpha$\ulcorner$\beta$\ulcorner or L=$\alpha$+$\beta$\ulcorner/$\alpha$ to be projectively flat on the basis of Matsumoto`s results.

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ON A SEMI-INVARIANT SUBMANIFOLD OF CODIMENSION 3 WITH CONSTANT MEAN CURVATURE IN A COMPLEX PROJECTIVE SPACE

  • Lee, Seong-Baek
    • 대한수학회논문집
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    • 제18권1호
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    • pp.75-85
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    • 2003
  • Let M be 3 Semi-invariant submanifold of codimension 3 with lift-flat normal connection in a complex projective space. Further, if the mean curvature of M is constant, then we prove that M is a real hypersurface of a complex projective space of codimension 2 in the ambient space.

FLAT ROTATIONAL SURFACES WITH POINTWISE 1-TYPE GAUSS MAP IN E4

  • Aksoyak, Ferdag Kahraman;Yayli, Yusuf
    • 호남수학학술지
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    • 제38권2호
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    • pp.305-316
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    • 2016
  • In this paper we study general rotational surfaces in the 4-dimensional Euclidean space $\mathbb{E}^4$ and give a characterization of flat general rotational surface with pointwise 1-type Gauss map. Also, we show that a flat general rotational surface with pointwise 1-type Gauss map is a Lie group if and only if it is a Clifford torus.

아파트 발코니 확장에 따른 전용공간의 변화에 관한 연구 - 전용면적 85m2형 공동주택을 대상으로 - (A Study on the Change of Exclusive Space for Balcony Expansion in an Apartment - Focused on an Apartment House below 85m2 of Exclusive Area-)

  • 배동식
    • 한국농촌건축학회논문집
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    • 제20권2호
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    • pp.11-18
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    • 2018
  • The purpose of this study is to analyze the structure and use change of the private space according to the balcony expansion and use it as the data of plan design. According to Bay, front length/width ratio and the change of balcony space before and after expansion of space organization of house units were analyzed. Common characteristics of Flat type and Tower type are an increase of the frontage length of house units in an apartment, an increase of the number of front bay, and an increase of integrated LDK focusing on living room. A difference is that Flat type shows high frontage ratio, Bay figure, and spatial arrangement favorable to front openness and lighting. Flat type shows higher area distribution than Tower type in LDK area distribution located in at the plane center. Spatial expandability and visual openness of Flat type are more beneficial than those of Tower type in the planning, and a balcony extension of house units has developed to direction to open more. Tower type creates various block images through a combination of house units focusing on the core. Uses after balcony expansion are area expansion of a balcony-neighboring room, storage space, expansion and function improvement of the variable range, and specialized space different from a neighboring room. In addition, there is no escapable space except for a shelter, so unit plan should be prepared to prevent using it other space of a shelter and to solve moving line of two-way horizontal refuge and vertical refuge.

PROJECTIVELY FLAT FINSLER SPACE WITH AN APPROXIMATE MATSUMOTO METRIC

  • Park, Hong-Suh;Lee, Il-Yong;Park, Ha-Yong;Kim, Byung-Doo
    • 대한수학회논문집
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    • 제18권3호
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    • pp.501-513
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    • 2003
  • The Matsumoto metric is an ($\alpha,\;\bata$)-metric which is an exact formulation of the model of Finsler space. Lately, this metric was expressed as an infinite series form for $$\mid$\beat$\mid$\;<\;$\mid$\alpha$\mid$$ by the first author. He introduced an approximate Matsumoto metric as the ($\alpha,\;\bata$)-metric of finite series form and investigated it in [11]. The purpose of the present paper is devoted to finding the condition for a Finsler space with an approximate Matsumoto metric to be projectively flat.

싱가포르 주택개발청(HDB)의 업그레이딩 프로그램에 관한 연구 (A Study on the Upgrading Program of HDB in Singapore)

  • 김주현;박선경;하재명;이재윤
    • 한국주거학회논문집
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    • 제15권2호
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    • pp.97-105
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    • 2004
  • This research is about Apartment Remodeling Upgrading Programme by Singapore Housing Development Board(HDB). For this study, we visited HDB and made field survey of the projects. There are basically three types of upgrading, namely, Precinct Upgrading, Apartment Block Upgrading and Flat Upgrading. Precint Upgrading refers the upgrading of services and facilities of the precinct. It involves the extention of open space, car-park, commercial space and additional covered linkways. These afford the residents greater convenience and comfort and generally enhance the environment of the community. Apartment Upgrading refers the upgrading of the block facade, improvements to the elevator, lift lobbies, letter boxes, trash chute and rain chute. The upgrading improves the quality of life of the residents. Flat Upgrading Involves the addition of space which may be in the form of a new Utility-room, replacement of old services, piping and equipment within an apartment unit. These provide the residents with a bigger and more comfortable living space.

도시농업의 이론, 패러다임, 유형을 통한 공간연구 (A Study on the Space Forming through Urban Agricultural Theory, Paradigm and Typology)

  • 장동민
    • 한국산학기술학회논문지
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    • 제18권2호
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    • pp.501-513
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    • 2017
  • 본 연구는 도시농업의 이론, 패러다임, 유형을 통해 개발현황을 분석하고 공간형태에 관한 적용빈도와 개발 키워드를 도출하는데 그 목적을 둔다. 분석결과, 첫째, 거리(Distance)에 의한 도시공간은 자가생산방식, 공동생산방식 그리고 국가 사회운영방식을 통한 공간형태의 디멘존(Dimension)이 결정된다. 둘째, 형태(Shape)에 의한 단지공간은 광활한 토지를 활용하기 위한 플랫형(Flat), 협소하고 환경의 질이 열약한 공간을 극복하기 위한 컴팩트형(Compact) 그리고 플랫과 컴팩트 사이에서의 유기적인 활용울 위한 융합형(Fusion of Flat Compact)을 통해 공간형태의 아이덴티티(Identity)가 결정된다. 셋째, 위치(Location)에 의한 건축과 실내공간은 지상공간, 옥상공간, 벽면공간, 베란다, 실내공간, 실내인프라 공간을 통해 공간형태의 유틸리티(Utility)가 결정된다. 도시농업의 공간형태에 대한 개념들은 유기적인 연관성을 갖고 있으며 향후 진화를 통해 공간은 지속적으로 발전될 것이다. 도시농업의 공간형태는 다양한 융합과정을 통해 새로운 창조공간을 계속해서 만들어 나갈 것이며, 그것은 새로운 도시농업의 개발 트렌드가 될 것이다. 제도적 기준을 통해 계획된 도시농업은 최적의 생산환경과 도시경관 구축을 가능하게 할 것이며, 또한 국가별 문화와 환경적 특성에 따라 탄력적으로 변화하는 공간은 다양한 형태로 도시농업이 진화하는 발판이 될 수 있을 것이라 예측된다.

슬림형 바닥시스템을 이용한 고층 복합구조의 내진성능에 관한 해석적 연구 (Analysis of Seismic Performance of Slim Flat Plate System in High-rise Hybrid Structural System)

  • 하기주;박효선;박중현;최경렬;김대중;정재광
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2005년도 추계 학술발표회 제17권2호
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    • pp.77-80
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    • 2005
  • Recently the construction of high-rise hybrid type building is progressively increased as the social demands. It is significantly important factors such as economy, the safety of structure, and the flexibility of internal space. Therefore new hybrid structural system, using slim flat plate system, is also required to be attained the reduction of story height, the flexibility and efficient use of space. The most suitable structural system is ,with the economy and flexibility, flat plate system in high-rise hybrid type building. But it was focused in the seismic performance for high performance flat plate system in high-rise hybrid type building. Therefore, in the study, to develop the new flat-plate system with high ductile, durable, good performance for the applications. It was evaluated the seismic performance in the critical region of slab-column connection. And then high performance flat plate system, designed by the economy and safety, was developed as a new technique in the application of high-rise hybrid type building.

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FINSLER SPACES WITH INFINITE SERIES (α, β)-METRIC

  • Lee, Il-Yong;Park, Hong-Suh
    • 대한수학회지
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    • 제41권3호
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    • pp.567-589
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    • 2004
  • In the present paper, we treat an infinite series ($\alpha$, $\beta$)-metric L =$\beta$$^2$/($\beta$-$\alpha$). First, we find the conditions that a Finsler metric F$^{n}$ with the metric above be a Berwald space, a Douglas space, and a projectively flat Finsler space, respectively. Next, we investigate the condition that a two-dimensional Finsler space with the metric above be a Landsbeg space. Then the differential equations of the geodesics are also discussed.