• Title/Summary/Keyword: Theta function

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Pretilt Angle Dependent Electro-Optic Characteristics of the Fringe-Field Switching mode using the Liquid Crystal with Positive Dielectric Anisotropy (유전율 이방성이 양인 액정을 이용한 프린지 필드 구동형 모드에서 프리틸트각 변화에 따른 전기-광학 특성)

  • 정태봉;임영진;안명환;이승희
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.17 no.3
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    • pp.311-318
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    • 2004
  • We have studied electro-optic characteristics as a function of pretilt angle ($\theta$$_{p}$) in the fringe-field switching (FFS) mode using the LC with positive dielectric anisotropy. When $\theta$$_{p}$ is increased from 0$^{\circ}$ to 20$^{\circ}$, a maximum transmittance and an operating voltage are obviously decreased. In the viewing angle characteristics, the cell with low pretilt angle has a wide region for the contrast ratio greater than 5 and has a best luminance uniformity. Therefore, in the FFS device, a low pretilt angle is favored for high transmittance and wide viewing angle.gle.

ℵ-IDEALS OF BCK/BCI-ALGERBAS

  • Jun, Young Bae;Lee, Kyoung Ja;Song, Seok Zun
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.3
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    • pp.417-437
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    • 2009
  • The notions of $\mathcal{N}$-subalgebras, (closed, commutative, retrenched) $\mathcal{N}$-ideals, $\theta$-negative functions, and $\alpha$-translations are introduced, and related properties are investigated. Characterizations of an $\mathcal{N}$-subalgebra and a (commutative) $\mathcal{N}$-ideal are given. Relations between an $\mathcal{N}$-subalgebra, an $\mathcal{N}$-ideal and commutative $\mathcal{N}$-ideal are discussed. We verify that every $\alpha$-translation of an $\mathcal{N}$-subalgebra (resp. $\mathcal{N}$-ideal) is a retrenched $\mathcal{N}$-subalgebra (resp. retrenched $\mathcal{N}$-ideal).

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NEW PRIMAL-DUAL INTERIOR POINT METHODS FOR P*(κ) LINEAR COMPLEMENTARITY PROBLEMS

  • Cho, Gyeong-Mi;Kim, Min-Kyung
    • Communications of the Korean Mathematical Society
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    • v.25 no.4
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    • pp.655-669
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    • 2010
  • In this paper we propose new primal-dual interior point methods (IPMs) for $P_*(\kappa)$ linear complementarity problems (LCPs) and analyze the iteration complexity of the algorithm. New search directions and proximity measures are defined based on a class of kernel functions, $\psi(t)=\frac{t^2-1}{2}-{\int}^t_1e{^{q(\frac{1}{\xi}-1)}d{\xi}$, $q\;{\geq}\;1$. If a strictly feasible starting point is available and the parameter $q\;=\;\log\;\(1+a{\sqrt{\frac{2{\tau}+2{\sqrt{2n{\tau}}+{\theta}n}}{1-{\theta}}\)$, where $a\;=\;1\;+\;\frac{1}{\sqrt{1+2{\kappa}}}$, then new large-update primal-dual interior point algorithms have $O((1\;+\;2{\kappa})\sqrt{n}log\;n\;log\;{\frac{n}{\varepsilon}})$ iteration complexity which is the best known result for this method. For small-update methods, we have $O((1\;+\;2{\kappa})q{\sqrt{qn}}log\;{\frac{n}{\varepsilon}})$ iteration complexity.

ZETA FUNCTIONS AND COEFFICIENTS OF AN ASYMPTOTIC EXPANSION OF logDet FOR ELLIPTIC OPERATORS WITH PARAMETER ON COMPACT MANIFOLDS

  • Lee, Yoonweon
    • Korean Journal of Mathematics
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    • v.7 no.2
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    • pp.159-166
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    • 1999
  • For classical elliptic pseudodifferential operators $A({\lambda})$ of order $m$ > 0 with parameter ${\lambda}$ of weight ${\chi}$ > 0, it is known that $logDet_{\theta}A({\lambda})$ admits an asymptotic expansion as ${\theta}{\rightarrow}+{\infty}$. In this paper we show, with some assumptions, that the coefficients of ${\lambda}^-{\frac{n}{\chi}}$ can be expressed by the values of zeta functions at 0 for some elliptic ${\psi}$DO's on $M{\times}S^1{\times}{\cdots}{\times}S^1$ multiplied by $\frac{m}{c_{n-1}}$.

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Significant Structure of Liquid Ethylene Chloride (액체 염화에틸렌의 구조에 관하여)

  • Ahn Woon Sun;Chang Seihun
    • Journal of the Korean Chemical Society
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    • v.8 no.3
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    • pp.125-127
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    • 1964
  • Upon melting, a part of ethylene-chloride molecules in trans-form in the solid state changes into gauche-form. The partition function for the material was developed according to the significant structure theory of liquid proposed by H. Eyring and his co-workers, and the parameters $E_s$, ${\theta}$, $V_s$, and a, therein, are determined by the manner developed by Chang, et al. The molar volume, vapor pressure, vaporization entropy, critical point properties and surface tension of the liquid were calculated. The results are in good agreement with experimental values.

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The Snaked-line Array Antenna (스네이크 라인 선열 안테나)

  • Yang, In-Eung;Lee, Sang-Seol;O, Seung-Yeop
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.10 no.5
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    • pp.21-30
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    • 1973
  • A snaked-line array antenna is investigated for the use of high gain antenna at X-band frequency by studing its attenation constant and the radiation pattern. Attenuation constant which is equivalent to the radiation resistance varies roughly as a function of the square of sinh$\theta$a where sin$\theta$a corresponds to the amplitude of sinusoidal form of snaked-line. The directivity is determined by the number of snaked-line antennas and the periodic units of a snaked line.

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An Optimal Preventive Maintenance Policy with General Repair : ($\theta$, m)) Maintenance Policy (일반 수리 모형에서의 최적 예방 보전 정책에 관한 연구 : ($\theta$, m) 보전 정책)

  • Hwang, Jung-Yoon;Park, You-Jin
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.32 no.4
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    • pp.9-16
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    • 2009
  • 본 논문에서는 시스템 연령(年齡)에 의해 보전 활동의 효과를 설명하는 일반 수리(修理) 개념을 이용한 최적 보전(保全) 정책에 대한 연구를 수행하였다. 본 논문에서는 주기적인 일반 수리와 고장 시 최소 수리가 적용되는 최적 보전 정책을 고려하였다. 따라서 일반 수리에 따른 보전 정책의 비용 함수를 도출하였고 최적 보전 정책을 도출하는 알고리즘을 제시하였고 예제를 통해 알고리즘의 성능을 분석하였다. 이 연구를 통해 시스템을 운영하는데 있어서 어느 수준의 보전 정책을 적용하며 어느 정도의 기간 동안 시스템을 유지할 것인지에 대안을 제공할 수 있을 것이다.

A study on weld distortion in butt and fillet welds of a steel plate by flux cored arc welding (플럭스코어드 용접으로 맞대기 및 필렛 용접된 판의 용접변형)

  • 안성철;유순영;조성택
    • Journal of Welding and Joining
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    • v.7 no.4
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    • pp.22-29
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    • 1989
  • In this paper weld distortion both in butt and fillet welds by flux cored arc welding has been investigated by changing welding parameters such as heat input and plate thickness, and the weld distortion was expressed as a function of welding parameters adopting the inherent strain theory as proposed by Watanabe and Satoh in 1961. As results of the research it is proposed that transverse shrinkage in root pass butt welds in proportional to ln[(Q/t_-tan.theta.] where Q is heat input(cal/mm), t is plate thickness(mm), and 2.theta. is groove angle(degree), and angular distortion .phi.(radian) in one pass of fillet welds has the following relationship: .phi..var.(Q/ $t^{1.5}$)$^{3}$exp[-(Q/ $t^{1.5}$ )$^{2}$3/] These equations provide us with basic tools to predict the amount of weld distortion in welded structures.

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Effect of Reaction Conditions for n-Butane Dehydrogenation over Pt-Sn/θ-Al2O3 Catalyst (Pt-Sn/θ-Al2O3 촉매상에서 반응조건에 따른 n-부탄의 탈수소화 반응)

  • Cho, Kyung-Ho;Kang, Seong-Eun;Park, Jung-Hyun;Cho, Jun-Hee;Shin, Chae-Ho
    • Clean Technology
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    • v.18 no.2
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    • pp.162-169
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    • 2012
  • Pt-Sn/${\theta}-Al_2O_3$ catalyst for n-butane dehydrogenation reaction was prepared by incipient wetness method. To confirm the physicochemical properties of Pt-Sn/${\theta}-Al_2O_3$ catalyst, the characterization was performed using X-ray diffraction (XRD), $N_2$ sorption analysis, temperature programmed desorption of $NH_3$ ($NH_3$-TPD), temperature programmed reduction of $H_2$ ($H_2$-TPR) techniques. Also, the catalytic activities of Pt-Sn/${\theta}-Al_2O_3$ for n-butane dehydrogenation was tested as a function of pretreatment temperature, pretreatment time, reaction temperature, and the partial pressure of n-butane and hydrogen. The sum of selectivities to n-butenes consisting of 1-butene, cis-2-butene, and trans-2-butene was almost constant 95% in the range of conversion of n-butane 5-55%. The activation energy calculated from Arrhenius equation was $82.4kJ\;mol^{-1}$ and the reaction orders of n-butane and hydrogen from Power's law were 0.70 and -0.20, respectively.

Comparison of Treatment Planning on Dosimetric Differences Between 192Ir Sources for High-Dose Rate Brachytherapy (고선량률 근접치료에서 이리듐-192 선원의 선량특성 차이에 관한 치료계획 비교)

  • Yang, Oh-Nam;Shin, Seong Soo;Ahn, Woo Sang;Kim, Dae-Yong;Kwon, Kyung-Tae;Lim, Cheong-Hwan;Lee, Sang Ho;Choi, Wonsik
    • Journal of radiological science and technology
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    • v.39 no.2
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    • pp.163-170
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    • 2016
  • To evaluate whether the difference in geometrical characteristics between high-dose-rate (HDR) $^{192}Ir$ sources would influence the dose distributions of intracavitary brachytherapy. Two types of microSelectron HDR $^{192}Ir$ sources (classic and new models) were selected in this study. Two-dimensional (2D) treatment plans for classic and new sources were generated by using PLATO treatment planning system. We compared the point A, point B, and bladder and rectum reference points based on ICRU 38 recommendation. The radial dose function of the new source agrees with that of the classic source except difference of up to 2.6% at the nearest radial distance. The differences of anisotropy functions agree within 2% for r=1, 3, and 5 cm and $20^{\circ}$ < ${\theta}$ < $165^{\circ}$. The largest discrepancies of anisotropy functions reached up to 27% for ${\theta}$ < $20^{\circ}$ at r=0.25 cm and were up to 13%, 10%, and 7% at r=1, 3, and 5 cm for ${\theta}$ > $170^{\circ}$, respectively. There were no significant differences in doses of point A, point B, and bladder point for the treatment plans between the new and classic sources. For the ICRU rectum point, the percent dose difference was on average 0.65% and up to 1.0%. The dose discrepancies between two treatment plans are mainly affected due to the geometrical difference of the source and the sealed capsule.