• Title/Summary/Keyword: $Theta^*$

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Possessor Agreement as Theta Feature Sharing

  • Cho, Sung-Eun;Lee, Won-Bin
    • Language and Information
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    • v.7 no.2
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    • pp.163-178
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    • 2003
  • Korean displays an interesting construction (so-called possessor agreement construction), where a possessor nominal and its possessum nominal are marked with the same case as shown in the example Mary-ka John-ul tali-lul cha-ss-ta ‘Mary kicked John's leg’ More interestingly, not all possessors in possessive construction are marked the same case with its possessum as shorn in the ungrammatical sentence *Mary-ka John-ul cha-lul cha-ss-ta ‘Mary kicked John's car’. Hence, a simple but non-trivial question arises: In what situation are both possessors and possessums marked with the same case\ulcorner In this paper, we advance three claims: (i) Possessor agreement appears in the situation where entailment is satisfied as follows: If Mary kicked John's leg, it entails that Mary kicked John, (ii) entailment in possessor agreement results from theta-feature sharing; specifically, the whole DP and the possessor DP share the same theta role, and (iii) Possessor nominals are marked with accusative (or nominative) case when they are assigned internal theta role from the predicate directly.

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Cross-Interaction Constant and Intrinsic Reaction Barrier

  • Lee, Ik Chun;Lee, Hae Hwang
    • Bulletin of the Korean Chemical Society
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    • v.22 no.7
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    • pp.732-738
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    • 2001
  • The cross second-derivative of the activation energy,${\theta}$G${\neq}$ , with respect to the two component thermodynamic barriers, ${\theta}$G˚X and ${\theta}$G$^{\circ}C$Y, can be given in terms of a cross-interaction constant (CIC), $\betaXY(\rhoXY)$, and also in terms of the intrinsic barrier,${\theta}$G${\neq}$ , with a simple relationship between the two: $\betaXY$ = $-1}(6${\theta}$G${\neq}$).$ This equation shows that the distance between the two reactants in the adduct (TS, intermediate, or product) is inversely related to the intrinsic barrier. An important corollary is that the Ritchie N+ equation holds (for which $\betaXY$ = 0) for the reactions with high intrinsic barrier. Various experimental and theoretical examples are presented to show the validity of the relationship, and the mechanistic implications are discussed.

Analysis of Excluded Volume Effect in Theta Solvent Systems of Polymethyl Methacrylate and Polystyrene by Means of a Modified Scaled Temperature Parameter

  • Kim, Myeong Ju;Park, Il Hyeon
    • Bulletin of the Korean Chemical Society
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    • v.22 no.11
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    • pp.1255-1260
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    • 2001
  • The expansion of two different kinds of hydrodynamic size of polymethyl methacrylate (PMMA Mw: 1.56- 2.04 ${\times}$ 106 g/mol) has been measured by dynamic light scattering and viscometry above the Flory $\theta$ temperature of the variou s solvents such as n-butyl chloride, 3-heptanone, and 4-heptanone. The expansion of PMMA chains was analyzed in terms of universal temperature parameters and also compared with previous results of polystyrene (PS) system. First it was found that simple $\tau/{\tau}c$ parameter no longer had its universality for the expansion behavior of hydrodynamic size in the chemically different linear polymer chains. However after modifying ${\tau}/{\tau}c$ parameter into $(Mw/Ro2)3}2(\tau/\tauc)$, we observed a much better universality for both PMMA and PS systems. Here Mw, Ro, $\tau[=(T-{\theta}$)/${\theta}$]$, and ${\tau}c[=({\theta}-Tc)/Tc]$ are defined as the weight average molecular weight, the unperturbed end-to-end distance, the reduced temperature and the reduced critical temperature, respectively.

Optimal Estimation within Class of James-Stein Type Decision Rules on the Known Norm

  • Baek, Hoh Yoo
    • Journal of Integrative Natural Science
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    • v.5 no.3
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    • pp.186-189
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    • 2012
  • For the mean vector of a p-variate normal distribution ($p{\geq}3$), the optimal estimation within the class of James-Stein type decision rules under the quadratic loss are given when the underlying distribution is that of a variance mixture of normals and when the norm ${\parallel}\underline{{\theta}}{\parallel}$ in known. It also demonstrated that the optimal estimation within the class of Lindley type decision rules under the same loss when the underlying distribution is the previous type and the norm ${\parallel}{\theta}-\overline{\theta}\underline{1}{\parallel}$ with $\overline{\theta}=\frac{1}{p}\sum\limits_{i=1}^{n}{\theta}_i$ and $\underline{1}=(1,{\cdots},1)^{\prime}$ is known.

A Study on the Analysis of Injection Molding of F-theta Lens (에프세타 렌즈의 사출 성형 해석에 관한 연구)

  • Park, Yong-Woo;Moon, Sung-Min;Lyu, Sung-Ki
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.20 no.1
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    • pp.1-6
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    • 2021
  • In this study, we investigate the injection molding of f-theta lens, an important element of the laser scanning unit of laser printers and scanning systems. The f-theta lens is an aspherical plastic lens that must be molded with a precision of seconds. An injection molding method is often used for mass producing aspherical plastic lenses at a low cost. In the injection molding process, costs related to forming and injection are included. Therefore, in this study, to determine the shrinkage and deformation of injection molded f-theta lens, we predict the pressure and temperature distributions. Further, based on the analysis of the predictions, we maximize the design efficiency and verify the cost and development period reduction.

Experiment of the Precision micro-positioning stage (초정밀 마이크로 위치결정 스테이지의 제작 및 평가)

  • Han, C. S.;Paek, S.;No, M. K.;Lee, C. H.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.05a
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    • pp.244-247
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    • 2002
  • The performance of the precision micro-positioning 4-dof stage is presented. The compact design utilizes the monolithic mechanism to achieve the translation in the Z axis and rotation in the $\theta$ z, $\theta$ x and $\theta$ y axes with high stiffness and high damping. Hysteresis, nonlinearity, and drift of the piezoelectric effects are improved by incorporating the sensors in a feedback control. Experiments demonstrate that the micro-positioning stage is capable of 2nm resolution over the travel range of 25$\mu\textrm$ m in the Z axis, 0.0l7 $\mu\textrm$ rad resolution over the 170$\mu\textrm$ rad in the $\theta$ z and 0.011 $\mu\textrm$ rad resolution over the $\mu\textrm$ rad in the $\theta$ x and $\theta$ y axes. The cross-axis interferences among the axes are at a noise range. This stage is available for positioning error compensation of the XY stage with large stroke.

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An Analysis of Unsteady Flow with Preissmann Scheme (Preissmann기법에 의한 1차원 부정류의 해석)

  • 이종태
    • Water for future
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    • v.15 no.1
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    • pp.57-62
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    • 1982
  • In order to make a numerical modeling for the one dimensional unsteady flow which expressed by Saint Venant partial differential equations, Preissman's implicit schem was used, and it's stability and accuracy was investigated. By introducing recurrence relations make it possible to use double sweep algorithm. Effective parameters to the result were the values of the C$$ and the Chezy coefticient. In order to get numerical solutions whith enough accuracy, C$$ should not be far from the value of1, and when the criteria of the $\theta$ was 0.6<$\theta$<1.0, the rewult was always stable for any condition. This model should be calibrated by real field data, and expected to be developed for the simulation of the river system and to the long wave analysis for one dimensional coastal zone problem.

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Development of Thin and Parallel XYθ Alignment Stage (박형 병렬구조 XYθ 정렬 스테이지 개발)

  • Kang, Dong-Bae;Ahn, Jung-Hwan;Son, Seong-Min
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.12 no.1
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    • pp.74-79
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    • 2011
  • Alignment systems with multi-axis motions are applied to determine vertical arrangement of multilayer assembly such as LCD, PDP, and MLCC. This study reports the development of XY${\theta}$ alignment stage which is designed as thin-type structure and parallel actuations. The thin-type parallel XY${\theta}$ alignment stage is maintained below $1{\mu}m$ in repeatability error. The squareness and straightness also allow precise motion for the alignment by the developed stage. The measured error is ${\pm}6.25{\mu}m$ in the alignment experiment by the vision system on the parallel XY${\theta}$ alignment stage.

Laser scanning unit with plastic f$\theta$ lenses featuring high resolution (600DPI용 플라스틱 f$\theta$렌즈가 실장된 Laser Scanning Unit 의 측정 및 평가)

  • 임천석
    • Korean Journal of Optics and Photonics
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    • v.10 no.5
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    • pp.364-368
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    • 1999
  • We investigate the evaluation items of LSU (Laser Scanning Unit), such as beam size, f$\theta$ characteristics, linearity, skew and bow, optical power ratio between image height of 0mm and $\pm$108 mm, pitch error, Jitter and shift of printing position. Through the measurement of LSU using BSH (Beam Scan Head) installed on LMC (Linear Motion Controller) which moves linearly within the whole scanning range (-108 mm~+108 mm), we can ascertain plastic f$\theta$ lenses, which are manufactured by TVLP (Two-step Variable Low Pressure) molding method, to satisfy 600DPI(Dots Per Inch) performance.

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Correlation between torsional vibration and translational vibration

  • Jeng, V.;Tsai, Y.L.
    • Structural Engineering and Mechanics
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    • v.13 no.6
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    • pp.671-694
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    • 2002
  • This paper presents theoretical investigation on the cross correlation between torsional vibration ($u_{\theta}$) and translation vibration ($u_x$) of asymmetrical structure under white noise excitation. The formula reveals that the cross correlation coefficient (${\rho}$) is a function of uncoupled frequency ratio (${\Omega}={\omega}_{\theta}/{\omega}_x$), eccentricity, and damping ratio (${\xi}$). Simulations involving acceleration records from fifteen different earthquakes show correlation coefficients results similar to the theoretical correlation coefficients. The uncoupled frequency ratio is the dominating parameter to ${\rho}$; generally, ${\rho}$ is positive for ${\omega}_{\theta}/{\omega}_x$ > 1.0, negative for ${\omega}_{\theta}/{\omega}_x$ < 1.0, and close to zero for ${\omega}_{\theta}/{\omega}_x$ = 1.0. When the eccentricity or damping ratio increases, ${\rho}$ increases moderately for small ${\Omega}$ (< 1.0) only. The relation among $u_x$, $u_{\theta}$ and corner displacement are best presented by ${\rho}$; a simple way to hand-calculate the theoretical dynamic corner displacements from $u_x$, $u_{\theta}$ and ${\rho}$ is proposed as an alternative to dynamic analysis.