• Title/Summary/Keyword: Sigma S

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Representation of translucent materials using hybrid-P3 approximation (Hybrid-P3 근사화 기법을 이용한 반투명 재질의 효과적인 표현 기법)

  • Lee, Seung-Joo;Kim, Hoi-Min;Ko, Kwang-Hee;Lee, Kwan H.
    • Proceedings of the Korea Information Processing Society Conference
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    • 2010.04a
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    • pp.534-537
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    • 2010
  • 반투명 재질의 효과적인 표현을 위해서 일반적으로 사용되는 빛의 확산 모델은 일반적 확산 모델(Standard Diffusion model: SDA)이다. 그러나 일반적 확산 모델은 흡수 변수 (absorption coefficient) ${\sigma}_a$가 감소한 산란 변수(reduced scattering coefficient) ${\sigma}_s$ 보다 상대적으로 큰 재질에 대해서는 부정확한 한계를 가지고 있다. 이러한 한계를 극복하기 위하여 다양한 모델이 제시되었다. $P_N$ 근사화 이론은 이러한 일반적 확산 모델이 가지고 있는 한계를 잘 극복한다. 우리는 일반적 확산 모델을 기반으로 하고 $P_3$ 근사화 이론의 변수들을 이용하는 hybrid-P3 근사화 방법을 이용하여 흡수 변수가 감소한 산란 변수보다 상대적으로 큰 재질을 그래픽 공간 상에서 효과적으로 표현하는 방법을 제시한다. 또한 그 재질의 광학적 특성을 추정하기 위하여 우리가 제안하는 모델에 적합한 측정장비를 개발하다.

GENERALIZED WEYL'S THEOREM FOR FUNCTIONS OF OPERATORS AND COMPACT PERTURBATIONS

  • Zhou, Ting Ting;Li, Chun Guang;Zhu, Sen
    • Bulletin of the Korean Mathematical Society
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    • v.49 no.5
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    • pp.899-910
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    • 2012
  • Let $\mathcal{H}$ be a complex separable infinite dimensional Hilbert space. In this paper, a necessary and sufficient condition is given for an operator T on $\mathcal{H}$ to satisfy that $f(T)$ obeys generalized Weyl's theorem for each function $f$ analytic on some neighborhood of ${\sigma}(T)$. Also we investigate the stability of generalized Weyl's theorem under (small) compact perturbations.

Dynamic Strain Aging of Zircaloy-4 PWR Fuel Cladding in Biaxial Stress State (가압경수로용 지르칼로이-4 피복관의 2축 응력 인장시 동적 변형 시효)

  • Park, Ki-Seong;Lee, Byong-Whi
    • Nuclear Engineering and Technology
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    • v.21 no.2
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    • pp.89-98
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    • 1989
  • The expanding copper mandrel test performed at three strain rates (3.2$\times$10E -5/s, 2.0$\times$10E-6/s and 1.2$\times$10E-7/s) over 553-873 K temperature range by varying the heating rates (8-1$0^{\circ}C$/s, 1-2$^{\circ}C$/s and 0.5$^{\circ}C$/s) in air and in vacuum (5$\times$10E-5 torr). The yield stress peak, the strain rate sensitivity minimum and the activation volume peaks could be explained in terms of the dynamic strain aging. The activation energy for dynamic strain aging obtained from the yield stress peak temperature and strain rate was 196 KJ/mol and this value was in good agreement with the activation energy for oxygen diffusion in $\alpha$-zirconium and Zircaloy-2 (207-220 KJ/mol). Therefore, oxygen atoms are responsible for the dynamic strain aging which appeared between 573 K and 673 K. The yield stress increase due to the oxidation was obtained by comparing the yield stress in air with that in vacuum and represented by the percentage increase of yield stress ( $\sigma$$^{a}$ $_{y}$ - $\sigma$$^{v}$ $_{y}$ / $\sigma$$^{v}$ $_{y}$ ). The slower the strain rate, the greater the percentage increase occurs. In order to estimate the yield stress of PWR fuel cladding material under the service environment, the yield stress in water was obtained by comparing the oxidation rate in air that in water assuming the relationship between the oxygen pick-up amount and the yield stress increase.

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OSCILLATION OF SECOND ORDER NONLINEAR DELAY DIFFERENCE EQUATIONS

  • Saker, S.H.
    • Bulletin of the Korean Mathematical Society
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    • v.40 no.3
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    • pp.489-501
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    • 2003
  • In this paper we shall consider the nonlinear delay difference equation $\Delta({p_n}{\Deltax_N})\;+\;q_nf(x_{n-\sigma})\;=\;0,\;n\;=\;0,\;1,\;2,\;...$ when (equation omitted). We will establish some sufficient conditions which guarantee that every solution is oscillatory or converges to zero.

INTERIM REPORT ON THE HST KEY PROJECT TO MEASURE $H_0$

  • MOULD JEREMY
    • Journal of The Korean Astronomical Society
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    • v.29 no.spc1
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    • pp.7-10
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    • 1996
  • With an interim calibration based upon half the Key Project's galaxies, the Tully-Fisher relation, the (Dn, $\sigma$) relation and type II supernovae yield $H_0$= 73$\pm$10 km/sec/Mpc.

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Calculation of depth dose for irregularly shaped electron fields (부정형 전자선 조사면의 심부선량과 출력비의 계산)

  • Lee, Byoung-Koo;Lee, Sang-Rok;Kwon, Young-Ho
    • The Journal of Korean Society for Radiation Therapy
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    • v.14 no.1
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    • pp.79-84
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    • 2002
  • The main cause factor for effective the output, especially in small & irregular shaped field of electron beam therapy, are collimation system, insert block diameter and energy. In the absorption deose of treatment fields, we should consider the lateral build-up ratio (LBR), which the ratio of dose at a point at depth for a given circular field to the dose at the same point for a 'broad-field', for the same incident fluence and profile. The LBR data for a small circular field are used to extract radial spread of the pencil beam, ${\sigma}$, as a function of depth and energy. It's based on elementary pencil beam. We consider availability of the factor, ${\sigma}$, in the small & irregular fields electron beam treatment.

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Performance and Jitter Effects Analysis of Single Bit Electro-Optical Sigma-Delta Modulators (단일 비트 전자-광학 시그마-델타 변조기의 성능 및 지터 효과 분석)

  • Nam, Chang-Ho;Ra, Sung-Woong
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.23 no.6
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    • pp.706-715
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    • 2012
  • Electro-optical sigma-delta modulators are the core module of digital receiver to digitize wideband radio-frequency signals directly at an antenna. Electro-optical sigma-delta modulators use a pulsed laser to oversample an input radio-frequency signals at two Mach-Zehnder Interferometer(MZI) and shape the quantization noise using a fiber-lattice accumulator. Decimation filtering is applied to the quantizer output to construct the input signal with high resolution. The jitter affects greatly on reconstructing the original input signal of modulator. This paper analyzes the performance of first order single bit electro-optical sigma-delta modulator in the time domain and the frequency domain. The performance of modulator is analyzed by using asynchronous spectral averaging of the reconstructed signal's spectrum in the frequency domain. The reference value of time jitter is presented by analyzing the performance of jitter effects. This kind of jitter value can be used as a reference value on the design of modulators.