• 제목/요약/키워드: p-point

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RELATING GALOIS POINTS TO WEAK GALOIS WEIERSTRASS POINTS THROUGH DOUBLE COVERINGS OF CURVES

  • Komeda, Jiryo;Takahashi, Takeshi
    • 대한수학회지
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    • 제54권1호
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    • pp.69-86
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    • 2017
  • The point $P{\in}{\mathbb{P}}^2$ is referred to as a Galois point for a nonsingular plane algebraic curve C if the projection ${\pi}_P:C{\rightarrow}{\mathbb{P}}^1$ from P is a Galois covering. In contrast, the point $P^{\prime}{\in}C^{\prime}$ is referred to as a weak Galois Weierstrass point of a nonsingular algebraic curve C' if P' is a Weierstrass point of C' and a total ramification point of some Galois covering $f:C^{\prime}{\rightarrow}{\mathbb{P}}^1$. In this paper, we discuss the following phenomena. For a nonsingular plane curve C with a Galois point P and a double covering ${\varphi}:C{\rightarrow}C^{\prime}$, if there exists a common ramification point of ${\pi}_P$ and ${\varphi}$, then there exists a weak Galois Weierstrass point $P^{\prime}{\in}C^{\prime}$ with its Weierstrass semigroup such that H(P') = or , which is a semigroup generated by two positive integers r and 2r + 1 or 2r - 1, such that P' is a branch point of ${\varphi}$. Conversely, for a weak Galois Weierstrass point $P^{\prime}{\in}C^{\prime}$ with H(P') = or , there exists a nonsingular plane curve C with a Galois point P and a double covering ${\varphi}:C{\rightarrow}C^{\prime}$ such that P' is a branch point of ${\varphi}$.

NUMBER OF WEAK GALOIS-WEIERSTRASS POINTS WITH WEIERSTRASS SEMIGROUPS GENERATED BY TWO ELEMENTS

  • Komeda, Jiryo;Takahashi, Takeshi
    • 대한수학회지
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    • 제56권6호
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    • pp.1463-1474
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    • 2019
  • Let C be a nonsingular projective curve of genus ${\geq}2$ over an algebraically closed field of characteristic 0. For a point P in C, the Weierstrass semigroup H(P) is defined as the set of non-negative integers n for which there exists a rational function f on C such that the order of the pole of f at P is equal to n, and f is regular away from P. A point P in C is referred to as a weak Galois-Weierstrass point if P is a Weierstrass point and there exists a Galois morphism ${\varphi}:C{\rightarrow}{\mathbb{p}}^1$ such that P is a total ramification point of ${\varphi}$. In this paper, we investigate the number of weak Galois-Weierstrass points of which the Weierstrass semigroups are generated by two positive integers.

홈 네트워킹 제어 미들웨어인 UPnP를 이용한 Control Point 및 내장형 시스템 상에서의 DTV와 전등 제어기 에뮬레이터 구현 (Implementation of Control Point, Digital TV, and Light Controller Emulator on Embedded System Using UPnP Home Networking Control Middleware)

  • 전호인
    • 정보통신설비학회논문지
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    • 제1권1호
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    • pp.6-25
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    • 2002
  • 본 논문에서는 인텔사(社)의 UPnP SDK vl.0을 임베디드 리눅스 시스템 개발 보드인 아사벳(assabet)보드에 포팅하고, UPnP SDK 패키지에서 제공하는 API를 이용하여 리눅스 PC에서 동작하는 UPnP Control Point와 임베디드 리눅스 시스템에서 동작하는 디지털 TV 에뮬레이터, 그리고 전등 제어기를 C언어로 구현하였다. 디지털 TV의 기능을 분석하여 UPnP서비스로 설계하고, 이를 UPnP 디바이스 프로그램에 적용하였다. 본 논문에서 사용한 UPnP SDK vl.04는 UPnP 홈 네트워킹 제어 미들웨어의 핵심 프로토콜 인 HTTP와 SSDP(Simple Service Discovery Protocol), SOAP(Simple Object Access Protocol), GENA(General Event Notification Architecture), 그리고, XML DOM Level-1을 리눅스에서 지원하기 위한 API 들로 들로 구성되어 있다. 본 논문에서 작성한 Control Point 프로그램은 리눅스 PC에서 실행시키고, 디지털 TV 에뮬레이터 프로그램과 전등제어기 프로그램은 임베디드 리눅스 보드에서 실행하였다. 실행된 Control Point는 네트워크에 연결된 디바이스들을 찾아 그 리스트를 콘솔에 출력하고, 디바이스가 제공하는 서비스를 콘솔입력으로 선택하여 실행시킨다. 본 논문에서 작성한 디바이스와 Control Point 프로그램이 UPnP의 핵심 기능들을 완벽하게 지원하는 것을 실험을 통해 확인하였다.

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THE PROXIMAL POINT ALGORITHM IN UNIFORMLY CONVEX METRIC SPACES

  • Choi, Byoung Jin;Ji, Un Cig
    • 대한수학회논문집
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    • 제31권4호
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    • pp.845-855
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    • 2016
  • We introduce the proximal point algorithm in a p-uniformly convex metric space. We first introduce the notion of p-resolvent map in a p-uniformly convex metric space as a generalization of the Moreau-Yosida resolvent in a CAT(0)-space, and then we secondly prove the convergence of the proximal point algorithm by the p-resolvent map in a p-uniformly convex metric space.

진공증착법으로 제조된 P(VDF/TrFE) 박막의 유전특성 (Dielectric Properties of P(VDF/TrFE) Thin Films Prepared by Vapor Deposition Method)

  • 정무영;윤종현;이선우;박수홍;유도현;이덕출
    • 대한전기학회논문지:전기물성ㆍ응용부문C
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    • 제50권1호
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    • pp.1-5
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    • 2001
  • P(VDF/TrFE) copolymer thin films with 70/30 and 80/20 mol% VDF (polyvinylidene fluoride) and TrFE (trifluoroethylene) rates were prepared by using a vapor deposition method, During thin films were prepared, the substrate temperatures were maintained at 30 $^{\circ}C$ and 120 $^{\circ}C$, and the heating source temperature was fixed at 350 $^{\circ}C$. Contary to PVDF homopolymer, P(VDF/TrFE) copolymers showed the Curie point(Tc) below the melting point. The Curie point (Tc) and the melting point of the P(VDF/TrFE) copolymers were changed as a function of substrate temperature and the VDF mol%. The Curie point and the melting point of P(VDF/TreFE) thin films decreased and increased with increasing substrate temperature, respectively. Also with increasing VDF mol%, the melting point decreased slightly, however the Curie point increased.

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NEW COMPLEXITY ANALYSIS OF PRIMAL-DUAL IMPS FOR P* LAPS BASED ON LARGE UPDATES

  • Cho, Gyeong-Mi;Kim, Min-Kyung
    • 대한수학회보
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    • 제46권3호
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    • pp.521-534
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    • 2009
  • In this paper we present new large-update primal-dual interior point algorithms for $P_*$ linear complementarity problems(LAPS) based on a class of kernel functions, ${\psi}(t)={\frac{t^{p+1}-1}{p+1}}+{\frac{1}{\sigma}}(e^{{\sigma}(1-t)}-1)$, p $\in$ [0, 1], ${\sigma}{\geq}1$. It is the first to use this class of kernel functions in the complexity analysis of interior point method(IPM) for $P_*$ LAPS. We showed that if a strictly feasible starting point is available, then new large-update primal-dual interior point algorithms for $P_*$ LAPS have $O((1+2+\kappa)n^{{\frac{1}{p+1}}}lognlog{\frac{n}{\varepsilon}})$ complexity bound. When p = 1, we have $O((1+2\kappa)\sqrt{n}lognlog\frac{n}{\varepsilon})$ complexity which is so far the best known complexity for large-update methods.

UPnP 기반의 홈-네트워크 원격제어를 위한 개선된 Control Point의 제안 및 구현 (Suggestion and Implementation of Improved Control Point for Remote Control Home-Network based on the UPnP)

  • 정진규;진선일;안광혁;유영동;홍석교
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2003년도 학술회의 논문집 정보 및 제어부문 B
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    • pp.769-772
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    • 2003
  • Middleware enables different networking devices and protocols to inter-operate in ubiquitous home network environments. The UPnP(Universal Plug and Play) middleware, which runs on a PC and is based on the IPv4 protocol, has attracted much interest in the field of home network research since it has versatility. The UPnP, however, cannot be easily accessed via the public Internet since the UPnP devices that provide services and the Control Points that control the devices are configured with non-routable local private or Auto IP networks. The critical question is how to access UPnP network via the public Internet. The purpose of this study is to deal with the non-routability problem in local private and Auto IP networks by improving the conventional Control Point used in UPnP middleware-based home networks. For this purpose, this paper proposes an improved Control Point for accessing and controlling the home network from remote sites via the public Internet, by adding a web server to the conventional Control Point. The improved Control Point is implemented in an embedded GNU/Linux system running on an ARM9 platform.

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점오염원 유입이 형산강하류 수질변화에 미치는 영향 (Influence of the Point Source Inflow on the Water Quality Variation in the Downstream of Hyeongsan River)

  • 이창수
    • 한국환경과학회지
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    • 제17권10호
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    • pp.1075-1080
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    • 2008
  • The influence of the point source inflow on the water quality variation in the downstream of Hyeongsan River was investigated. As the results of seasonal variation, the pollutant concentrations of dry season were 1.5-4 times higher than those of wet season. The increase rate of $BOD_5$, $COD_{Mn}$, T-N, T-P due to point source were ranged to $8.1\sim42.6%$, $7.3\sim41.9%$ and $17.1\sim207%$ as the inflow of P1, P2 and P3, respectively. After P1, P2 and P3 inflow, the accumulated increase rate were 64.3%, 32.6%, 93.1% and 258.9% in $BOD_5$, $COD_{Mn}$, T-N, T-P, respectively. It was found that the influence of point source inflow on the water quality in the downstream of Hyeongsan River is severe.

New large-update primal interior point algorithms based on kernel functions for LCPs

  • Kim, Min-Kyung;Cho, Gyeong-Mi
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제11권4호
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    • pp.69-88
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    • 2007
  • In this paper we propose new large-update primal-dual interior point algorithms for $P_{\neq}({\kappa})$ linear complementarity problems(LCPs). New search directions and proximity measures are proposed based on a specific class of kernel functions, ${\psi}(t)={\frac{t^{p+1}-1}{p+1}}+{\frac{t^{-q}-1}{q}}$, q>0, $p{\in}[0,\;1]$, which are the generalized form of the ones in [3] and [12]. It is the first to use this class of kernel functions in the complexity analysis of interior point method(IPM) for $P_*({\kappa})$LCPs. We showed that if a strictly feasible starting point is available, then new large-update primal-dual interior point algorithms for $P_*({\kappa})$ LCPs have the best known complexity $O((1+2{\kappa}){\sqrt{2n}}(log2n)log{\frac{n}{\varepsilon}})$ when p=1 and $q=\frac{1}{2}(log2n)-1$.

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ON p-HYPONORMAL OPERATORS ON A HILBERT SPACE

  • Cha, Hyung-Koo
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제5권2호
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    • pp.109-114
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    • 1998
  • Let H be a separable complex H be a space and let (equation omitted)(H) be the *-algebra of all bounded linear operators on H. An operator T in (equation omitted)(H) is said to be p-hyponormal if ($T^{\ast}T)^p - (TT^{\ast})^{p}\geq$ 0 for 0 < p < 1. If p = 1, T is hyponormal and if p = $\frac{1}{2}$, T is semi-hyponormal. In this paper, by using a technique introduced by S. K. Berberian, we show that the approximate point spectrum $\sigma_{\alpha p}(T) of a pure p-hyponormal operator T is empty, and obtains the compact perturbation of T.

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