• 제목/요약/키워드: flat space

검색결과 504건 처리시간 0.025초

CODIMENSION REDUCTION FOR REAL SUBMANIFOLDS OF QUATERNIONIC PROJECTIVE SPACE

  • Kwon, Jung-Hwan;Pak, Jin-Suk
    • 대한수학회지
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    • 제36권1호
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    • pp.109-123
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    • 1999
  • In this paper we prove a reduction theorem of the codimension for real submanifold of quaternionic projective space as a quaternionic analogue corresponding to those in Cecil [4], Erbacher [5] and Okumura [9], and apply the theorem to quaternionic CR- submanifold of quaternionic projective space.

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A GENERALIZATION OF DIFFERENTIAL FORMS AND ITS APPLICATION

  • Shikata, Yoshihiro;Hong, Suk-Ho
    • 대한수학회보
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    • 제28권2호
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    • pp.225-229
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    • 1991
  • Our final purpose may be to introduce generalized differential forms on the space Map(S, M) of mappings from a manifold S into a manifold M and discuss the differential geometry of the space Map(S, M) from the point of the generalized forms. Here we take a subspace X of the space Map(S,M) and we introduce the generalized differential forms on X, taking the dual to the chain space with the flat norm. This method of construction allows us to discuss a sufficient condition for a subspace Y of X to admit the generalized differential forms and the natural integration as the dual operation.

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Development of Full ice-cream cone model for HCME 3-D parameters

  • Na, Hyeonock;Moon, Yong-Jae;Lee, Harim
    • 천문학회보
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    • 제41권1호
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    • pp.47.1-47.1
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    • 2016
  • The determination of three dimensional parameters (e.g., radial speed, angular width, source location) of Coronal Mass Ejections (CMEs) is very important for space weather forecast. To estimate these parameters, several cone models based on a flat cone or a shallow ice-cream cone with spherical front have been suggested. In this study, we investigate which cone model is proper for halo CME morphology using 26 CMEs which are identified as halo CMEs by one spacecraft (SOHO or STEREO-A or B) and as limb CMEs by the other ones. From geometrical parameters of these CMEs such as their front curvature, we find that near full ice-cream cone CMEs are dominant over shallow ice-cream cone CMEs. Thus we develop a new full ice-cream cone model by assuming that a full ice-cream cone consists of many flat cones with different heights and angular widths. This model is carried out by the following steps: (1) construct a cone for given height and angular width, (2) project the cone onto the sky plane, (3) select points comprising the outer boundary, (4) minimize the difference between the estimated projection speeds with the observed ones. We apply this model to 12 SOHO halo CMEs and compare the results with those from other stereoscopic methods (a geometrical triangulation method and a Graduated Cylindrical Shell model) based on multi-spacecraft data.

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근래 여자저고리의 패턴 변화 - 서울 광장시장과 부산 진시장을 중심으로 - (Recent Changes in Women's Jeogori Pattern - Focused on the Jeogori's in the Seoul Gwangjang Market and Busan Jin Market -)

  • 한정원;조우현
    • 복식
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    • 제66권3호
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    • pp.1-17
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    • 2016
  • This study examined and analyzed the women's jeogoris in the Seoul Gwangjang Market and Busan Jin Market. They study explored the items to look into the current state of the Jeogori patterns, as well as investigate the flat pattern jeogoris, including its source and aspects of change. Korean women's body figure has become more westernized, and the purpose of this study is to investigate the effects of this change on the traditional jeogoris. We hope to gather valuable data, which can be used to propose a new direction for designing hanbok in the future. The study methods are as follows: First, the types of jeogori patterns were examined. Second, the current state of jeogori patterns in the Seoul Gwangjang market and Jin market in Busan were analyzed to look into how the patterns have transitioned. And lastly, the reason for the origination of the flat pattern jeogori and the type of changes will be examined. Current study results show that two pattern types are being used: the flat composition jeogori and the flat pattern jeogori. Surveys show that more than 90 percent of the jeogoris in the Seoul Gwangjang Market are of the flat composition pattern variety, while more than 90 percent of jeogoris in the Busan Jin Market are of the flat pattern variety. In 1998, western-style dress designers in Busan introduced the flat pattern jeogoris, which were used to get rid of the wrinkles caused by the extra space, into the market after the financial crisis period in Korea, as a way to revitalize the market. This new pattern was popular among tea aficionados and traditional Korean musicians. It was exposed to the public via different mediums, such as TV programs, magazines, and brochures. Busan was the first to be exposed, and then it spread to Seoul. It also seems that the reduction of production cost caused the increase of the flat pattern jeogori.

3D 스캐닝, 3D 모델링, 3D 프린팅 기반의 3D 시스템에 의한 시니어 평발용 인솔 제작 (Producing the insoles for flat feet of senior men using 3D systems based on 3D scanning, 3D modeling, and 3D printing)

  • 오설영;서동애
    • 복식문화연구
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    • 제25권3호
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    • pp.270-284
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    • 2017
  • This study aimed to create 3D-printed insoles for flat-footed senior men using 3D systems. 3D systems are product-manufacturing systems that use 3-dimensional technologies like 3D scanning, 3D modeling, and 3D printing. This study used a 3D scanner (NexScan2), 3D CAD programs including Rapidform, AutoCAD, SolidWorks, Nauta+ compiling program, and a 3D printer. In order to create insoles for flat-footed senior men, we analyzed horizontal sections of 3D foot scans We selected 20 flat-footed and 20 normal-footed subjects. To make the 3D insole models, we sliced nine lines on the surface of the subjects' 3D foot scans, and plotted 144 points on the lines. We calculated the average of these 3D coordinates, then located this average within the 3D space of the AutoCAD program and created 3D sole models using the loft surface tools of the SolidWorks program. The sole models for flat feet differed from those of normal feet in the depth of the arch at the inner sideline and the big toe line. We placed the normal-footed sole model on a flat-footed sole model, and the combination of the two models resulted in the 3D insole for flat feet. We printed the 3D modeled insole using a 3D printer. The 3D printing material was an acrylic resin similar to rubber. This made the insole model flexible and wearable. This study utilized 3D systems to create 3D insoles for flat-footed seniors and this process can be applied to manufacture other items in the fashion industry as well.

평판 경계층과 후류와의 상호관계에 관한 연구; 평균속도장 (An Experimental Study of Mutual Relation between Wake and Boundary Layer of a Flat Plate; Mean Velocity Field)

  • 김동하;장조원
    • 한국항공우주학회지
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    • 제32권10호
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    • pp.1-11
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    • 2004
  • 평판의 근접 후류에서 상류 경계층의 영향을 조사하기 위한 실험적 연구가 수행되었다. 트리핑 와이어(tripping wire)의 여러 부착 위치가 경계층의 유동조건을 유발시키기 위하여 선택되었다. 평판 앞전에서부터 0.98C 위치에서의 층류, 천이, 난류경계층이 대칭, 비대칭 후류의 발달과정을 조사하기 위하여 부과되었다. X형태의 열선 프로브(55P61)를 이용한 측정은 근접 후류의 8위치에서 수행되었고, 측정된 평균속도분포는 기존의 후류 상사변수로 무차원화 되어 제시되었다. 대칭 후류는 후류의 중앙부분에서 기존의 상사곡선과 일치하지만, 비대칭 후류는 측정된 범위에서 기존의 상사 곡선과 일치하지 않았다.

평판형광램프의 제작 및 특성 (Fabrication and Characteristics of Flat Fluorescent Lamp)

  • 권순석;임민수;임기조
    • 조명전기설비학회논문지
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    • 제16권1호
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    • pp.8-12
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    • 2002
  • 본 논문은 LCD의 백라이트로서 고휘도를 내는 간단한 구조의 평판형광램프를 연구하였다. 평판형광램프는 ITO glass와 절연층, 형광층, 전극층, gas층으로 구성된다. 이 램프의 방전개시전압은 주파수가 증가하면 감소하며 이러한 경향으로는 gas층에서 트립된 Xe과 Ar 양이온에 기인된 공간방전효과의 결과이다. 높은 구동 주파수에서 uniform 전압의 감소는 초기 구동에서 발생된 남아있는 공간전하에 기인한다. 결과로서 Xe gas를 사용한 평판형광램프는 구동전압 700[ $V_{rms}$], 주파수 80[kHz]에서 2700[cd/ $m^2$]의 휘도, 균일도 96[%], 최대 효율은 51[m/W]를 얻었다.다.

발사체 상단 유도를 위한 단순화된 직접식 유도 방식 성능 분석 (Performance Analysis of a Flat-Earth Explicit Guidance Algorithm Applicable for Upper Stages of Space Launch Vehicles)

  • 송은정;조상범;박창수;노웅래
    • 항공우주기술
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    • 제11권1호
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    • pp.169-177
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    • 2012
  • 본 논문에서는 주어진 발사체의 상단부 유도 방식 선정을 위해서 외연적 유도 알고리듬에 대해서 다루었다. 지구를 평평하게 가정함으로써 얻어지는 매우 단순화된 형태의 알고리듬으로 온보드 응용에 있어서 유리한 유도 방식에 대해서 다루었다. 그러나 주어진 발사체에 적용한 결과 단순한 time-to-go 예측 방정식은 유도 성능을 저하시키는 특성을 보여, Saturn이나 H-II 발사체 사용되었던 정밀한 예측 방법을 도입하였다. 최종적으로 모의시험을 통해 단순한 형태의 유도 방식은 폭넓은 응용을 위해서는 time-to-go 예측 및 중력에 의한 속도 이득을 개선해야 함을 알 수 있었다.

SEMI-RIEMANNIAN SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION

  • Yucesan, Ahmet;Yasar, Erol
    • 대한수학회논문집
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    • 제27권4호
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    • pp.781-793
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    • 2012
  • We study some properties of a semi-Riemannian submanifold of a semi-Riemannian manifold with a semi-symmetric non-metric connection. Then, we prove that the Ricci tensor of a semi-Riemannian submanifold of a semi-Riemannian space form admitting a semi-symmetric non-metric connection is symmetric but is not parallel. Last, we give the conditions under which a totally umbilical semi-Riemannian submanifold with a semi-symmetric non-metric connection is projectively flat.

THE GEOMETRY OF LEFT-SYMMETRIC ALGEBRA

  • Kim, Hyuk
    • 대한수학회지
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    • 제33권4호
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    • pp.1047-1067
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    • 1996
  • In this paper, we are interested in left invariant flat affine structures on Lie groups. These structures has been studied by many authors in different contexts. One of the fundamental questions is the existence of complete affine structures for solvable Lie groups G, raised by Minor [15]. But recently Benoist answered negatively even for the nilpotent case [1]. Also moduli space of such structures for lower dimensional cases has been studied by several authors, sometimes with compatible metrics [5,10,4,12].

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