• Title/Summary/Keyword: Mobius

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Hamiltonian Paths in Restricted Hypercube-Like Graphs with Edge Faults (에지 고장이 있는 Restricted Hypercube-Like 그래프의 해밀톤 경로)

  • Kim, Sook-Yeon;Chun, Byung-Tae
    • The KIPS Transactions:PartA
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    • v.18A no.6
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    • pp.225-232
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    • 2011
  • Restricted Hypercube-Like (RHL) graphs are a graph class that widely includes useful interconnection networks such as crossed cube, Mobius cube, Mcube, twisted cube, locally twisted cube, multiply twisted cube, and generalized twisted cube. In this paper, we show that for an m-dimensional RHL graph G, $m{\geq}4$, with an arbitrary faulty edge set $F{\subset}E(G)$, ${\mid}F{\mid}{\leq}m-2$, graph $G{\setminus}F$ has a hamiltonian path between any distinct two nodes s and t if dist(s, V(F))${\neq}1$ or dist(t, V(F))${\neq}1$. Graph $G{\setminus}F$ is the graph G whose faulty edges are removed. Set V(F) is the end vertex set of the edges in F and dist(v, V(F)) is the minimum distance between vertex v and the vertices in V(F).

A Study on the Concept of Topological Space shown Folding in Architecture (접힘 건축에 나타난 위상기하학적 공간 개념에 관한 연구)

  • 황태주
    • Korean Institute of Interior Design Journal
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    • v.13 no.3
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    • pp.69-75
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    • 2004
  • Since 1990s, several rising western architects have been moving their theoretical background from the modern paradigm to new science and philosophy. Architectural spaces are based on the philosophy and science of their own age and the architectural theories made by them. And specially, it seems that topological spaces are different to theoretical backgrounds from idealized spaces of modern architecture. From these backgrounds, this study was performed to search for the spacial relationship and characteristics shown in the recently folding architecture and the results of this study that starts this purpose are as follows. First, the architecture that introduced by the theory of topology has appeared as the circulation forms like as Mobius band or Klein bottle, and was made the space fused with structure pursuing liquid properties of matter. As follows, second, the concept of topological space made the division of traditional concept of floor, wall, ceiling disappeared and had built up the space by continual transformation. Third, about the relationship between two spaces in topological space, the two spaces were happened by transformation of these and they have always continuity and the same quality.

THE ISOPERIMETRIC PROBLEM ON EUCLIDEAN, SPHERICAL, AND HYPERBOLIC SURFACES

  • Simonson, Matthew D.
    • Journal of the Korean Mathematical Society
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    • v.48 no.6
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    • pp.1285-1325
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    • 2011
  • We solve the isoperimetric problem, the least-perimeter way to enclose a given area, on various Euclidean, spherical, and hyperbolic surfaces, sometimes with cusps or free boundary. On hyperbolic genus-two surfaces, Adams and Morgan characterized the four possible types of isoperimetric regions. We prove that all four types actually occur and that on every hyperbolic genus-two surface, one of the isoperimetric regions must be an annulus. In a planar annulus bounded by two circles, we show that the leastperimeter way to enclose a given area is an arc against the outer boundary or a pair of spokes. We generalize this result to spherical and hyperbolic surfaces bounded by circles, horocycles, and other constant-curvature curves. In one case the solution alternates back and forth between two types, a phenomenon we have yet to see in the literature. We also examine non-orientable surfaces such as spherical M$\ddot{o}$obius bands and hyperbolic twisted chimney spaces.

NOTES ON SOME IDENTITIES INVOLVING THE RIEMANN ZETA FUNCTION

  • Lee, Hye-Rim;Ok, Bo-Myoung;Choi, June-Sang
    • Communications of the Korean Mathematical Society
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    • v.17 no.1
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    • pp.165-173
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    • 2002
  • We first review Ramaswami's find Apostol's identities involving the Zeta function in a rather detailed manner. We then present corrected, or generalized formulas, or a different method of proof for some of them. We also give closed-form evaluation of some series involving the Riemann Zeta function by an integral representation of ζ(s) and Apostol's identities given here.

Fast Computation Algorithm for the Impedance Calculation of Irregular Shaped Metal-dielectric-metal Type Power Distribution Plane (임의 형상의 금속-유전체-금속 전력배분기판에 대한 빠른 임피던스 계산 방법)

  • Suh, Young-Suk
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.18 no.5
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    • pp.457-463
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    • 2005
  • This paper presents a method for analyzing irregular shaped power distribution networks. The irregular shaped metal-dielectric-metal plane is split into several piece of rectangular segments to calculate the impedance of the irregular shaped plane. Impedance matrix for each rectangular segments is calculated using the Mobius transform method to reduce the calculation time. Then the segmentation and do-segmentation method is applied to the piece of rectangular segments. Applied to the 6 inch by 5 inch size irregular shaped board, the proposed method shows 10 times faster than the electromagnetic or circuit analysis method.

Deep Learning and IoT Standards based High Rise Fieldworker's Behavior Analysis System (딥러닝과 IoT 표준을 이용한 고소 작업자 행동분석 시스템)

  • Lee, Se-hoon;Kang, Gun-ha;Sim, Gun-wu;Tak, Jin-hyun
    • Proceedings of the Korean Society of Computer Information Conference
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    • 2019.07a
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    • pp.247-248
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    • 2019
  • 본 논문에서는 블루투스 비콘을 이용해 고소 작업장 등의 위험지역에서 작업자 추적 및 확인과 안전 벨트고리를 체결했는지 여부와 작업자의 행동에 따른 데이터를 추가로 수집하여 작업자의 행동 패턴을 분석하였다. IoT 국제 표준인 oneM2M을 기반으로 IoT Device와 Application을 연결하는 중간 매개체로 모비우스 플랫폼을 사용해 시스템을 구축하였다. 또한, 본 연구팀의 선행 연구에서 작업자 위험 행동분류 시스템을 개선할 수 있는 연구 결과를 비교하였다.

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A Scheme for Better Authentication of IoT System based-on Blockchain and IPFS (블록체인과 IPFS 기반 IoT 시스템 인증 강화 기법)

  • Lee, Byeong-min
    • Proceedings of the Korean Society of Computer Information Conference
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    • 2021.01a
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    • pp.313-316
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    • 2021
  • 사물 인터넷 시스템에서 서버와 클라이언트의 신뢰성 확보는 매우 중요하다. 대부분의 IoT 시스템에서 신뢰성 확보를 위해 인증서 기법이 사용되고 있다. 인증서 기법을 사용하는 IoT 시스템은 데이터(인증서,공개키) 탈취 및 분실 취약점이 있다. 이러한 취약점을 강화하기 위해 서버와 클라이언트는 서로 주고받는 데이터의 무결성과 신뢰성을 보장할 수 있는 환경이 구축되어야 한다. 본 논문에서는 이러한 취약점을 보완하기 위하여 IPFS와 블록체인을 결합한 인증 강화 기법을 제시한다. 제시한 기법의 기본 개념은 IPFS를 이용하여 CA와 서버의 인증서와 공개키를 분산 저장하고, IPFS에 저장한 인증서와 공개키의 Content-Address를 블록체인에 보관한다. 마지막으로 제시한 기법의 타당성을 검토하기 위하여 Mobius, nCube, Ethereum, IPFS를 결합한 IoT 시스템을 구축하고 SSL을 사용한 인증 과정을 실험한다.

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Quality Assurance of Volumetric Modulated Arc Therapy Using the Dynalog Files (다이나로그 파일을 이용한 부피세기조절회전치료의 정도관리)

  • Kang, Dong-Jin;Jung, Jae-Yong;Shin, Young-Joo;Min, Jung-Whan;Kim, Yon-Lae;Yang, Hyung-jin
    • Journal of radiological science and technology
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    • v.39 no.4
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    • pp.577-585
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    • 2016
  • The purpose of this study is to evaluate the accuracy of beam delivery QA software using the MLC dynalog file, about the VMAT plan with AAPM TG-119 protocol. The Clinac iX with a built-in 120 MLC was used to acquire the MLC dynalog file be imported in MobiusFx(MFX). To establish VMAT plan, Oncentra RTP system was used target and organ structures were contoured in Im'RT phantom. For evaluation of dose distribution was evaluated by using gamma index, and the point dose was evaluated by using the CC13 ion chamber in Im'RT phantom. For the evaluation of point dose, the mean of relative error between measured and calculated value was $1.41{\pm}0.92%$(Target) and $0.89{\pm}0.86%$(OAR), the confidence limit were 3.21(96.79%, Target) and 2.58(97.42%, OAR). For the evaluation of dose distribution, in case of $Delta^{4PT}$, the average percentage of passing rate were $99.78{\pm}0.2%$(3%/3 mm), $96.86{\pm}1.76%$(2%/2 mm). In case of MFX, the average percentage of passing rate were $99.90{\pm}0.14%$(3%/3 mm), $97.98{\pm}1.97%$(2%/2 mm), the confidence limits(CL) were in case of $Delta^{4PT}$ 0.62(99.38%, 3%/3 mm), 6.6(93.4%, 2%/2 mm), in case of MFX, 0.38(99.62%, 3%/3 mm), 5.88(94.12%, 2%/2 mm). In this study, we performed VMAT QA method using dynamic MLC log file compare to binary diode array chamber. All analyzed results were satisfied with acceptance criteria based on TG-119 protocol.

Moebius' L'INCAL Analysis of 'self' and 'self-consiousness' in philosophic viewpoint ('자기와 자기 의식'의 철학적 관점에서 본 뫼비우스의 '잉칼'분석)

  • Hong, yong ok;lee, won-seok
    • Proceedings of the Korea Contents Association Conference
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    • 2007.11a
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    • pp.667-671
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    • 2007
  • Moebius' L,INCAL Analysis of 'self' and 'self-consciousness' in philosophic viewpoint. In this research, I studies and analyzed Mobius' L,INCAL who had affected revitalization of Europe and America's genre cartoon and graphic novel. Among the L,INCAL. I selected some parts which are related to 'self' and 'self-consciousness' of 융(Jung), 라캉(Lacan), chaos theory Because it is too extensive for me to do this. Cartoons filled with philosophy is likely to have a possibility to be seen by adults. The goal of this study is to make a coner stone which all the classes can enjoy various cultures with.

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Development of an oneM2M-compliant IoT Platform for Wearable Data Collection

  • Ahn, Il Yeup;Sung, Nak-Myoung;Lim, Jae-Hyun;Seo, Jeongwook;Yun, Il Dong
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.13 no.1
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    • pp.1-15
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    • 2019
  • Internet of Things (IoT) is commonly referred to as a future internet technology to provide advanced services by interconnecting physical and virtual things, collecting and using many data from them. The IoT platform is a server platform with a common architecture to collect and share the data independent of the IoT devices and services. Recently, oneM2M, the global standards initiative for Machine-to-Machine (M2M) communications and the IoT announced the availability of oneM2M Release 2 specifications. Accordingly, this paper presents a new oneM2M-compliant IoT platform called Mobius 2.0 and proposes its application to collect the biosignal data from wearable IoT devices for emotion recognition. Experimental results show that we can collect various biosignal data seamlessly and extract meaningful features from the biosignal data to recognize two emotions of joy and sadness.