• Title/Summary/Keyword: planar ends

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TORQUES AND RIEMANN'S MINIMAL SURFACES

  • Jin, Sun Sook
    • Journal of the Chungcheong Mathematical Society
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    • v.19 no.3
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    • pp.219-224
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    • 2006
  • In this article, we prove that a properly embedded minimal surface in $R^3$ of genus zero must be one of Riemann's minimal examples if outside of a solid cylinder it is the union of planar ends with the same torques at all integer heights.

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EXISTENCE OF MINIMAL SURFACES WITH PLANAR ENDS

  • Jin, Sun-Sook
    • The Pure and Applied Mathematics
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    • v.17 no.4
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    • pp.299-306
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    • 2010
  • In this article we consider axes of a complete embedded minimal surface in $R^3$ of finite total curvature, and then prove that there is no planar ends at which the Gauss map have the minimum branching order if the minimal surface has a single axis.

MINIMAL GRAPHS WITH PLANAR ENDS

  • Jin, Sun Sook
    • Journal of the Chungcheong Mathematical Society
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    • v.24 no.2
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    • pp.313-317
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    • 2011
  • In this article, we consider an unbounded minimal graph $M{\subset}R^3$ which is contained in a slab. Assume that ${\partial}M$ consists of two Jordan curves lying in parallel planes, which is symmetric with the reflection under a plane. If the asymptotic behavior of M is also symmetric in some sense, then we prove that the minimal graph is itself symmetric along the same plane.

AXES OF A MINIMAL SURFACE WITH PLANAR ENDS

  • Jin, Sun Sook
    • Journal of the Chungcheong Mathematical Society
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    • v.20 no.1
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    • pp.71-80
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    • 2007
  • In this article, we consider axes of a minimal surface in $R^3$ of genus zero with a planar end, and then prove that two consecutive axes near planar end must be parallel but cannot be in a same line.

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ON THE MINIMUM WEIGHT OF A 3-CONNECTED 1-PLANAR GRAPH

  • Lu, Zai Ping;Song, Ning
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.3
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    • pp.763-787
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    • 2017
  • A graph is called 1-planar if it can be drawn in the Euclidean plane ${\mathbb{R}}^2$ such that each edge is crossed by at most one other edge. The weight of an edge is the sum of degrees of two ends. It is known that every planar graph of minimum degree ${\delta}{\geq}3$ has an edge with weight at most 13. In the present paper, we show the existence of edges with weight at most 25 in 3-connected 1-planar graphs.

SYMMETRY OF MINIMAL GRAPHS

  • Jin, Sun Sook
    • Journal of the Chungcheong Mathematical Society
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    • v.23 no.2
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    • pp.251-256
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    • 2010
  • In this article, we consider a minimal graph in $R^3$ which is bounded by a Jordan curve and a straight line. Suppose that the boundary is symmetric with the reflection under a plane, then we will prove that the minimal graph is itself symmetric under the reflection through the same plane.

Locomotion and ground reaction forces of a warking machine (보행로보트의 보행과 지면 반발력)

  • 홍형주;윤용산;손웅희
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10a
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    • pp.125-130
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    • 1988
  • This study presents a method to determine the ground reation forces of a quadruped walking machine on its foot ends caused by the body weight and the inertia forces from the commanded acceleration. The method shows the same result as the Pseudo-Inverse Method when the 4 feet stand on a plane. However method can be applied even when the 4 feet stand on a non-planar surface for which, no feasible solution can be obtained by the Pesudo-Inverse Method.

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Design of Planar Dipole Pair Antenna for Indoor Digital TV Reception (실내 디지털 TV 수신용 평면 다이폴 쌍 안테나 설계)

  • Lee, Jong-Ig;Yeo, Junho;Han, Dae-Hee
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.18 no.11
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    • pp.2600-2606
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    • 2014
  • In this paper, a design method for a planar dipole pair antenna for an operation in the frequency band of 470-806 MHz for terrestrial indoor digital TV (DTV) is studied. The proposed antenna is composed of two planar dipoles connected through conducting strips, and the antenna is fed by a microstrip line. By employing different lengths of dipoles, a broadband characteristics is obtained, and the antenna is size-reduced by bending both ends of the longer dipole. The effects of design parameters on the antenna performance are examined by simulation, and the parameters are adjusted for terrestrial DTV band use. A prototype of the antenna for indoor DTV reception is fabricated on an FR4 substrate with a size of $240mm{\times}139.5mm$ and tested experimentally. The experiment results show that the frequency band for a VSWR < 2 ranges 458-864 MHz(61.4%), and it corresponds fairly well with the simulated band of 448-868 MHz(63.8%).

Difference analysis of the collapse behaviors of the single-story beam-column assembly and multi-story planar frame

  • Zheng Tan;Wei-Hui Zhong;Bao Meng;Xing-You Yao;Yu-Hui Zheng;Yao Gao;Shi-Chao Duan
    • Steel and Composite Structures
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    • v.50 no.3
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    • pp.265-280
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    • 2024
  • The collapse behavior observed in single-story beam-column assembly (SSBCA) do not accurately represent the actual overall stress characteristic of multi-story frame structure (MSFS) under column loss scenario owing to ignoring the interaction action among different stories, leading to a disconnection between the anti-collapse behaviors of "components" and "overall structures", that is, the anti-collapse performance of frame structures with two different structural scales has not yet formed a combined force. This paper conducts a numerical and theoretical study to explore the difference of the collapse behaviors of the SSBCA and MSFS, and further to reveal the internal force relationships and boundary constraints at beam ends of models SSBCA and MSFS. Based on the previous experimental tests, the corresponding refined numerical simulation models were established and verified, and comparative analysis on the resistant-collapse performance was carried out, based on the validated modeling methods with considering the actual boundary constraints, and the results illustrates that the collapse behaviors of the SSBCA and MSFS is not a simple multiple relationship. Through numerical simulation and theoretical analysis, the development laws of internal force in each story beam under different boundary constraints was clarified, and the coupling relationship between the bending moment at the most unfavorable section and axial force in the composite beam of different stories of multi story frames with weld cover-plated flange connections was obtained. In addition, considering the effect of the yield performance of adjacent columns on the anti-collapse bearing capacities of the SSBCA and MSFS during the large deformation stages, the calculation formula for the equivalent axial stiffness at the beam ends of each story were provided.

Design of a broadband dual dipole antenna for indoor digital TV reception (실내 디지털 TV수신용 광대역 이중 다이폴 안테나 설계)

  • Lee, Jong-Ig;Han, Dae-Hee;Eun, Jang-Soo;Yang, Myung-Gyu;Yeo, Junho;Kim, Gun-Kyun
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2013.10a
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    • pp.63-64
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    • 2013
  • In this paper, a design method for a dual dipole antenna for an operation in the frequency band of 470-806 MHz for indoor digital TV (DTV) is studied. The proposed antenna is composed of two planar dipoles connected by parallel strip line, and the antenna is fed by a microstrip line. By employing different lengths of dipoles, a broadband characteristics is obtained, and the antenna is size-reduced by bending both ends of the longer dipole. The effects of each parameters on the antenna performance are examined by simulation, and the parameters are optimized for the DTV use. A prototype antenna with optimized parameters for the indoor DTV use is fabricated on an FR4 substrate and tested experimentally. The experimental results show that the frequency band for a VSWR < 2 ranges 458-864 MHz (61.4%, bandwidth 406 MHz, 1.89:1), and it corresponds fairly well with the simulated band 448-868 MHz (63.8%, bandwidth 420 MHz, 1.94:1).

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