• Title/Summary/Keyword: flat space

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CODIMENSION REDUCTION FOR REAL SUBMANIFOLDS OF QUATERNIONIC PROJECTIVE SPACE

  • Kwon, Jung-Hwan;Pak, Jin-Suk
    • Journal of the Korean Mathematical Society
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    • v.36 no.1
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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
    • Bulletin of the Korean Mathematical Society
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    • v.28 no.2
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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
    • The Bulletin of The Korean Astronomical Society
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    • v.41 no.1
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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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Recent Changes in Women's Jeogori Pattern - Focused on the Jeogori's in the Seoul Gwangjang Market and Busan Jin Market - (근래 여자저고리의 패턴 변화 - 서울 광장시장과 부산 진시장을 중심으로 -)

  • Han, Jeong Won;Cho, Woo Hyun
    • Journal of the Korean Society of Costume
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    • v.66 no.3
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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.

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

  • Oh, Seol Young;Suh, Dongae
    • The Research Journal of the Costume Culture
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    • v.25 no.3
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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.

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

  • Kim, Dong-Ha;Chang, Jo-Won
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.32 no.10
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    • pp.1-11
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    • 2004
  • An experimental study was carried out to investigate the influence of flow conditions of a boundary layer on the near-wake of a flat plate. Various attaching positions of tripping wires were selected to change flow conditions on a boundary layer. Laminar, transitional, and turbulent boundary layer conditions at 0.98C from the leading edge are imposed to investigate the evolution of symmetric and asymmetric wake. An x-type hot-wire probe(55P61) is employed to measure at 8 stations of the near-wake region. Measured mean velocity distributions are presented in terms of similarity parameter. It is found that the symmetric wake collapses well to the universal profile in the central part of the wake. However, the universal profile is not suitable in describing an asymmetric wake.

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

  • 권순석;임민수;임기조
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.16 no.1
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    • pp.8-12
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    • 2002
  • In this paper, we studied a flat fluorescent lamp with high luminance for LCD backlighting. The lamps have simple structures with ITO glass, insulator layer, phosphor layer, electrode layer and gas gap. The firing voltage was decreased with increasing the frequency. It was considered that this tendency was resulted from the space charge effect due to Xe and Ar positive ions trapped in gas gap. Decrease of uniform voltage at higher drive frequency is due to the remaining space charges which are produced by preceding period. As a result, luminance of 2700[cd/m$^2$] and maximum luminous efficiency of 51[m/W] were obtained with luminance uniformity of 96[%] in operation(700[V$\_$rms/], 80[kHz].

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

  • Song, Eun-Jung;Cho, Sang-Bum;Park, Chang-Su;Roh, Woong-Rae
    • Aerospace Engineering and Technology
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    • v.11 no.1
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    • pp.169-177
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    • 2012
  • This paper considers the explicit guidance algorithm to determine the closed-loop guidance law applicable to upper stages of a given space launch vehicle. It has the advantage of very simple forms derived from the flat earth assumption, which is appropriate for its on-board application. However the simple time-to-go prediction equation produces the degraded guidance performance of the launcher because of its inaccuracy. To overcome the problem, the elaborate prediction equations, which have been employed in Saturn and H-II, are attempted here. Finally, the simulation results show that the simple guidance approach requires the more accurate time-to-go prediction and gravity integrals for its broad application.

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

  • Yucesan, Ahmet;Yasar, Erol
    • Communications of the Korean Mathematical Society
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    • v.27 no.4
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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
    • Journal of the Korean Mathematical Society
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    • v.33 no.4
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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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