• Title/Summary/Keyword: m-point

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RENARKS ON REWEAKLY COMMUTING MAPPONGS AND COMMON FIXED POINT THEOREMS

  • Pathak, H.-K;Cho, Y.-J;Kang, S.-M
    • 대한수학회보
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    • 제34권2호
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    • pp.247-257
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    • 1997
  • It was the turning point in the "fixed point arena" when the notion of weak commutativity was introduced by Sessa [9] as a sharper tool to obtain common fixed points of mappings. As a result, all the results on fixed point theorems for commuting mappings were easily transformed in the setting of the new notion of weak commutativity of mappings. It gives a new impetus to the studying of common fixed points of mappings satisfying some contractive type conditions and a number of interesting results have been found by various authors. A bulk of results were produced and it was the centre of vigorous research activity in "Fixed Point Theory and its Application in various other Branches of Mathematical Sciences" in last two decades. A major break through was done by Jungck [3] when he proclaimed the new notion what he called "compatibility" of mapping and its usefulness for obtaining common fixed points of mappings was shown by him. There-after a flood of common fixed point theorems was produced by various researchers by using the improved notion of compatibility of mappings. of compatibility of mappings.

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Field Emission Properties of Carbon Nanotubes on Graphite Tip

  • Shin, Ji-Hong;Shin, Dong-Hoon;Song, Yenan;Sun, Yuning;Lee, Cheol-Jin
    • 한국진공학회:학술대회논문집
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    • 한국진공학회 2011년도 제41회 하계 정기 학술대회 초록집
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    • pp.383-383
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    • 2011
  • Generally, field emitters can be categorized into two types according to the emitter shape, one is a planar field emitter and the other is a point emitter. The planar field emitter is used for displays, flat lamps and signage boards. On the other hands, the point field emitter is expected to play a significant role in x-ray sources and electron beam sources. Such applications of the point field emitters, especially, need large emission current and high emission stability with a small electron beam size. A few reports announced point emitters made by carbon nanotubes (CNTs). However, they still have suffered from poor reproducibility and low emission current. Here, we demonstrated high performance CNT point emitters by attaching CNTs onto graphite rod. Graphite rod exhibited good electrical conductivity and chemical stability. In this method, the shape of the point emitter could be easily controlled by changing the length and diameter of the graphite rod. The CNT point emitter showed emission current over 1 mA at an applied electric field of 1.4 V/${\mu}m$. We consider that the stable emission performance is attributed to the stable contact between CNTs and graphite rod.

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MPPT 제어 기능을 갖는 진동에너지 하베스팅 회로 설계 (Design of a Vibration Energy Harvesting Circuit With MPPT Control)

  • 박준호;윤은정;박종태;유종근
    • 한국정보통신학회논문지
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    • 제15권11호
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    • pp.2457-2464
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    • 2011
  • 본 논문에서는 압전 소자를 이용한 진동에너지 하베스팅 회로를 설계하였다. 압전소자의 전력-전압 특성을 이용하여 최대 전력을 부하로 전달하기 위한 MPPT(Maximum Power Point Tracking) 제어 기능을 구현하였다. MPPT 제어 회로는 압전소자의 출력 단에 연결된 전파 정류회로의 개방회로 전압을 주기적으로 샘플링하여 최대 가용전력이 생성되는 지점을 추적하고 이를 부하로 전달하는 역할을 한다. 제안된 진동에너지 하베스팅 회로는 $0.18{\mu}m$ CMOS 공정으로 설계하였다. 모의실험 결과 설계된 회로의 최대 전력 효율은 91%이고, pad를 제외한 칩 면적은 $700{\mu}m{\times}730{\mu}m$이다.

MPPT 제어 기능을 갖는 열에너지 하베스팅 회로 설계 (Design of a Thermal Energy Harvesting Circuit with MPPT Control)

  • 윤은정;김수진;박금영;오원석;유종근
    • 한국정보통신학회논문지
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    • 제16권11호
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    • pp.2487-2494
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    • 2012
  • 본 논문에서는 MPPT 제어 기능을 갖는 열에너지 하베스팅 회로를 설계하였다. MPPT(Maximum Power Point Tracking) 제어는 열전소자의 개방회로전압과 MPP 전압간의 관계를 이용하였으며 열전소자의 개방회로전압을 주기적으로 샘플링 함으로써 이를 이용해 MPPT 기준전압을 생성하여 이를 기준으로 부하로의 에너지 공급을 제어한다. 모의실험 결과 94%의 최대 전력 효율을 보였다. 제안된 열에너지 하베스팅 회로는 $0.35{\mu}m$ CMOS 공정으로 설계하였으며 설계된 칩 면적은 PAD를 제외하고 $1168.7{\mu}m{\times}541.3{\mu}m$이다.

최대전력점추적방법과 외부저항 제어 알고리즘을 이용한 미생물연료 전지의 전력생산 최대화 (Improvement of Power Generation of Microbial Fuel Cells using Maximum Power Point Tracking (MPPT) and Automatic Load Control Algorithm)

  • 송영은;김중래
    • KSBB Journal
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    • 제29권4호
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    • pp.225-231
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    • 2014
  • A microbial fuel cell (MFC) and bioelectrochemical systems are novel bioprocesses which employ exoelectrogenic biofilm on electrode as a biocatalyst for electricity generation and various useful chemical production. Previous reports show that electrogenic biofilms of MFCs are time varying systems and dynamically interactive with the electrically conductive media (carbon paper as terminal electron acceptor). It has been reported that maximum power point tracking (MPPT) method can automatically control load by algorithm so that increase power generation and columbic efficiency. In this study, we developed logic based control strategy for external load resistance by using $LabVIEW^{TM}$ which increases the power production with using flat-plate MFCs and MPPT circuit board. The flat-plate MFCs inoculated with anaerobic digester sludge were stabilized with fixed external resistance from $1000{\Omega}$ to $100{\Omega}$. Automatic load control with MPPT started load from $52{\Omega}$ during 120 hours of operation. MPPT control strategy increased approximately 2.7 times of power production and power density (1.95 mW and $13.02mW/m^3$) compared to the initial values before application of MPPT (0.72 mW and $4.79mW/m^3$).

MPPT 제어 기능을 갖는 진동에너지 하베스팅 회로 설계 (Design of Vibration Harvesting Circuit using the MPPT control)

  • 박준호;윤은정;박종태;유종근
    • 한국정보통신학회:학술대회논문집
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    • 한국해양정보통신학회 2011년도 추계학술대회
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    • pp.392-395
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    • 2011
  • 본 논문에서는 압전 소자를 이용한 진동에너지 하베스팅 회로를 설계하였다. 압전소자의 전력-전압 특성을 이용해 최대 전력을 부하로 전달하기 위한 MPPT(maximum power point tracking control) 제어 기능을 추가하였다. MPPT 회로는 전파 정류회로의 개방회로 전압을 주기적으로 샘플링하여 최대 가용전력이 생성되는 지점을 추적하고 이를 부하로 전달한다. 진동에너지 하베스팅 회로는 $0.18{\mu}m$ CMOS 공정으로 설계하였다. 최대 전력 효율은 91%이고, pad를 제외한 칩 면적은 $1,100{\mu}m{\times}730{\mu}m$이다.

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POSITIVE SOLUTIONS FOR MULTIPOINT BOUNDARY VALUE PROBLEMS WITH ONE-DIMENSIONAL p-LAPLACIAN OPERATOR

  • Xu, Fuyi;Meng, Zhaowei;Zhao, Wenling
    • Journal of applied mathematics & informatics
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    • 제26권3_4호
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    • pp.457-469
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    • 2008
  • In this paper, we study the existence of positive solutions for the following nonlinear m-point boundary value problem with p-Laplacian: $\{{{{(\phi_p(u'))'\;+\;f(t,u(t))=0, \;0<t<1,} \atop u'(0)={\sum}{^{m-2}_{i=1}}\;a_iu'(\xi_i),} \atop u(1)={\sum}{^k_{i=1}}\;b_iu(\xi_i)\;-\;{\sum}{^s_{i=k+1}}\;b_iu(\xi_i)\;-\;{\sum}{^{m-2}_{i=s+1}}\;b_iu'(xi_i),}$ where ${\phi}_p(s)$ is p-Laplacian operator, i.e., ${\phi}_p(s)=\mid s\mid^{p-2}s$, p>1, ${\phi}_q\;=\;({\phi}_p)^{-1}$, $\frac{1}{p}+\frac{1}{q}=1$, $1\;{\leq}\;k\;{\leq}\;s\;{\leq}m\;-\;2$, $b_i\;{\in}\;(0,+{\infty})$ with $0\;<\;{\sum}{^k_{k=1}}\;b_i\;-\;{\sum}{^s_{i=k+1}}\;b_i\;<\;1$, $0\;<\;{\sum}{^{m-2}_{i=1}}\la_i\;<\;1$, $0\;<\;{\xi}_1\;<\;{\xi}_2\;<\;{\cdots}\;<\;{\xi}_{m-2}\;<\;1$, $f\;{\in}\;C([0,\;1]\;{\times}\;[0,\;+{\infty}),\;[0,\;+{\infty}))$. We show that there exists one or two positive solutions by using fixed-point theorem for operator on a cone. The conclusions in this paper essentially extend and improve the known results.

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누적독성부하 산정을 통한 주민소산 전환시점 선정에 관한 연구 -인천지역을 중심으로- (Selection of Transition Point through Calculation of Cumulative Toxic Load -Focused on Incheon Area-)

  • 이은지;한만형;천영우;이익모;황용우
    • 한국안전학회지
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    • 제35권6호
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    • pp.15-24
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    • 2020
  • With the development of the chemical industry, the chemical accident is increasing every year, thereby increasing the risk of accidents caused by chemicals. The Ministry of Environment provides the criteria for determining shelter-in-place or outdoor evacuation by material, duration of accident, and distance from the toxic substance leak. However, it is hard to say that the criteria for determining the transition point are not clear. Transition point mean the time that evacuation method is switched from shelter-in-place to outdoor evacuation. So, the purpose of this study was to calculate appropriate transition point by comparing the cumulative toxic load. Namdong-gu in Incheon Metropolitan City was finally selected as the target area, considering the current status of the population of Incheon Metropolitan City in 2016 and the statistical survey of chemicals in 2016. The target materials were HCl, HF, and NH3. Modeling was simulated by ALOHA and performed assuming that the entire amount would be leaked for 10 min. Residents' evacuation scenarios were assumed to be shelter-in-place, immediate outdoor evacuation, and outdoor evacuation at an appropriate time after shelter-in-place. Based on the above method, the appropriate transition point from residents located in A(800 m away), B(1,200 m away), C(1,400 m away) and D(2,200 m away) was identified. In HCl, appropriate transition point was after 15 min, after 16 min, after 17 min, after 20 min in order by A, B, C and D. In HF, appropriate transition point was before 1 min or after 16 min, before 4 min or after 19 min, before 5 min or after 20 min, before 14 min or after 26 min in order by A, B, C and D. In NH3, appropriate transition point at A was before 4 min or after 16. Others are not in chemical cloud. This study confirmed the transition point to minimize the cumulative toxic load can be obtained by quantitative method. Through this, it might be possible to select evacuation method quantitatively that cumulative toxic load are minimal. In addition, if the shelter-in-place is maintained without transition to outdoor evacuation, the cumulative toxic load will increase more than outdoor evacuation. Therefore, it was confirmed that actions to reduce the concentration of chemicals in the room were necessary, such as conducting ventilation after the chemical cloud passed through the site.

효율적인 $GF(p^m)$ 멱승 연산을 이용한 타원곡선 기저점의 고속 생성 (Fast Generation of Elliptic Curve Base Points Using Efficient Exponentiation over $GF(p^m)$))

  • 이문규
    • 한국정보과학회논문지:시스템및이론
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    • 제34권3호
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    • pp.93-100
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    • 2007
  • Koblitz와 Miller가 암호시스템에 타원곡선을 사용할 것을 제안한 이래, 타원곡선 암호에 관한 다양한 연구가 진행되어 왔다. 타원곡선 암호는 타원곡선 상의 점들이 덧셈 연산에 대한 군을 형성한다는 관찰에 기반하고 있는데, 안전한 암호를 실현하기 위해서는 군의 위수에 큰 소수를 인자로 포함하는 적절한 타원곡선을 찾고 이 큰 소수를 위수로 갖는 기저점을 찾는 작업이 매우 중요하다. 현재까지 타원 곡선을 찾거나 해당 군의 위수를 계산하는 방법에 관해서는 많은 연구가 있어 왔으나, 곡선이 주어질 때 기저점을 찾는 문제에 대한 연구 결과는 많지 않다. 이에 본 논문에서는 $GF(p^m)$ 상에서 정의된 타원곡선 상에서 임의의 기저점을 찾는 효율적인 방안을 제시한다. 먼저 우리는 기저점을 찾는 데 있어 가장 중요한 연산이 멱승 연산임을 밝히고, 다음에 $GF(p^m)$ 상에서의 멱승을 빠르게 하기 위한 효율적인 알고리즘들을 제시한다. 마지막으로 이 알고리즘들을 구현하여 다양한 실제 타원 곡선 상에서 실험한 결과들을 제시하는데, 이에 따르면 본 논문에서 제안하는 알고리즘은 이진 멱승에 기반한 기저점 탐색 알고리즘에 비해 탐색 속도를 1.62-6.55 배 향상시킴을 확인할 수 있다.

CRITICAL POINT METRICS OF THE TOTAL SCALAR CURVATURE

  • Chang, Jeong-Wook;Hwang, Seung-Su;Yun, Gab-Jin
    • 대한수학회보
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    • 제49권3호
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    • pp.655-667
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    • 2012
  • In this paper, we deal with a critical point metric of the total scalar curvature on a compact manifold $M$. We prove that if the critical point metric has parallel Ricci tensor, then the manifold is isometric to a standard sphere. Moreover, we show that if an $n$-dimensional Riemannian manifold is a warped product, or has harmonic curvature with non-parallel Ricci tensor, then it cannot be a critical point metric.