• 제목/요약/키워드: maximal faces

검색결과 7건 처리시간 0.02초

INTERSECTIONS OF MAXIMAL FACES IN THE CONVEX SET OF POSITIVE LINEAR MAPS BETWEEN MATRIX ALGEBRAS

  • Kye, Seung-Hyeok;Lee, Sa-Ge
    • 대한수학회논문집
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    • 제10권4호
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    • pp.917-924
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    • 1995
  • Let $P_I$ be the convex compact set of all unital positive linear maps between the $n \times n$ matrix algebra over the complex field. We find a necessary and sufficient condition for which two maximal faces of $\cap P_I$ intersect. In particular, we show that any pair of maximal faces of $P_I$ has the nonempty intersection, whenever $n \geq 3$.

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IDEAL CELL-DECOMPOSITIONS FOR A HYPERBOLIC SURFACE AND EULER CHARACTERISTIC

  • Sozen, Yasar
    • 대한수학회지
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    • 제45권4호
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    • pp.965-976
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    • 2008
  • In this article, we constructively prove that on a surface S with genus g$\geq$2, there exit maximal geodesic laminations with 7g-7,...,9g-9 leaves. Thus, S can have ideal cell-decompositions (i.e., S can be (ideally) triangulated by maximal geodesic laminations) with 7g-7,...,9g-9 (ideal) 1-cells. Once there is a triangulation for a compact surface, the Euler characteristic for the surface can be calculated as the alternating sum F-E+V, where F, E, and V denote the number of faces, edges, and vertices, respectively. We also prove that the same formula holds for the ideal cell decompositions.

교합유형에 따른 하악운동에 관한 연구 (A STUDY OF MANDIBULAR MOVEMENTS IN RELATION TO OCCLUSAL TYPE)

  • 이동주
    • 대한치과교정학회지
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    • 제13권2호
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    • pp.131-146
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    • 1983
  • Faces of normal occlusion, open bite and class III malocclusion were measured using cephalogram in 190 male and female subjects. Using M.K.G., types of mandibular movement, amount of horizontal and vertical movement were studied in relation to occlusal types, and were compared with each other. The following conclusions were obtained. 1. Movement of protrusion was most different in relation to occlusal type. 2. In normal occlusion, maximal protrusion were horizontal 7.66mm, vertical 3.01mm in male, 6.41, 2.92mm respectively in female and maximal inferior position were -24.32, 33.63mm in male,-23.48, 32.27mm respectively in female. 3. Angle between maximal inferior position and horizontal plane were $53.51^{\circ}$ in male, $53.84^{\circ}$ in female. 4. Generally, amount of mandibular movement was greater in male than female. 5. In open bite, path of protrusion was nearly straight without curve $69.2\%$ in male, $70.2\%$ in female. 6. In class III malocclusion, angle and amount of protrusion were smaller than normal occlusion and path was directed anterior-superiorly in $22.7\%$. 7. There was no correlation coefficient between measurement of face and mandibular movement.

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FACE PAIRING MAPS OF FORD DOMAINS FOR CUSPED HYPERBOLIC 3-MANIFOLDS

  • Hong, Sung-Bok;Kim, Jung-Soo
    • 대한수학회지
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    • 제45권4호
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    • pp.1007-1025
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    • 2008
  • We will describe a way to construct Ford domains of cusped hyperbolic 3-manifolds on maximal cusp diagrams and compute fundamental groups using face pairing maps as generators and Cannon-Floyd-Parry's edge cycles as relations. We also describe explicitly a cutting and pasting alteration to reduce the number of faces on the bottom region of Ford domains. We expect that our analysis of Ford domains will be useful on other future research.

BOUNDARIES OF THE CONE OF POSITIVE LINEAR MAPS AND ITS SUBCONES IN MATRIX ALGEBRAS

  • Kye, Seung-Hyeok
    • 대한수학회지
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    • 제33권3호
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    • pp.669-677
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    • 1996
  • Let $M_n$ be the $C^*$-algebra of all $n \times n$ matrices over the complex field, and $P[M_m, M_n]$ the convex cone of all positive linear maps from $M_m$ into $M_n$ that is, the maps which send the set of positive semidefinite matrices in $M_m$ into the set of positive semi-definite matrices in $M_n$. The convex structures of $P[M_m, M_n]$ are highly complicated even in low dimensions, and several authors [CL, KK, LW, O, R, S, W]have considered the possibility of decomposition of $P[M_m, M_n] into subcones.

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초전도 코일을 적용한 WPT 특성 (Characteristics of Wireless Power Transmission applying the superconducting coil)

  • 정인성;최효상
    • 전기학회논문지
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    • 제62권6호
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    • pp.762-766
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    • 2013
  • Interest in Wireless Power Transmission (WPT) technology has been increasing worldwide recently. This trend is proved by commercialized products such as electric toothbrush, wireless razor, and wireless charger for mobile phone battery. Studies for enhancing the applicability of the technology have been continuously conducted. Currently the WPT technology is based on the technologies using microwave, inductively coupling, and magnetic resonance. In the meantime, development of the microwave-based WPT faces difficulty due to health hazards involved in the technology, and application of the WPT technology using inductively coupling is restricted by area due to the problem of transmission length. In comparison, the WPT technology using magnetic resonance draws attention in terms of efficiency and transmission length. In this study, the sending coil based on the WPT technology using magnetic resonance system was replaced with an HTS coil to enhance transmission efficiency. Since the HTS coil has a zero resistance, power transmission loss can be minimized. At the same time, size of the current density could be increased to 100 times or more than typical coils. In addition, through impedance matching of LC device, maximal resonance properties were induced and consequently, frequency selection quality characteristics or Q was enhanced. As a result, the WPT type using the HTS coil showed a longer transmission length and better transmission efficiency compared with the WPT type using typical coils.

낙석방지망의 효율적 설계를 위한 기초연구 (A Study on Efficient Design of Rockfall Prevention Netting)

  • 이준대;박수범;배우석
    • 한국지반환경공학회 논문집
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    • 제15권12호
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    • pp.53-59
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    • 2014
  • 본 논문에서는 경험에 따라 비합리적으로 설계되고 있는 낙석방지망의 합리적인 설계를 위한 기초자료를 획득하기 위해 표준 단면을 결정하고 비탈면의 경사, 높이, 낙석의 무게, 이격거리 등의 매개변수가 도약높이나 운동에너지, 통과속도 등 낙석의 거동에 미치는 영향을 분석하였다. 낙석의 무게는 400, 700, 1,000 kg으로 변화하고 20 m 높이를 기준으로 낙석방호시설이 낙석의 거동에 영향을 미칠 수 있는 1:0.5($63^{\circ}$), 1:0.7($55^{\circ}$)의 경사에 대해 수행하였으며, 낙석의 낙하높이를 3, 15, 20 m를 변경시켜가면서 해석을 실시하여 사면 하부에 발생하는 최대운동에너지의 변화를 분석 평가하였다. 해석결과, 낙석방지망의 설계 시 현행과 같이 일률적인 적용에서 벗어나 사면의 경사와 예상되는 낙석의 규모나 무게, 법면의 상황 및 낙석의 모양, 낙석 운동형태 등 다양한 조건을 고려한 설계가 필요할 것으로 판단된다.